Fork of mbed-dsp. CMSIS-DSP library of supporting NEON
Dependents: mbed-os-example-cmsis_dsp_neon
Fork of mbed-dsp by
Information
Japanese version is available in lower part of this page.
このページの後半に日本語版が用意されています.
CMSIS-DSP of supporting NEON
What is this ?
A library for CMSIS-DSP of supporting NEON.
We supported the NEON to CMSIS-DSP Ver1.4.3(CMSIS V4.1) that ARM supplied, has achieved the processing speed improvement.
If you use the mbed-dsp library, you can use to replace this library.
CMSIS-DSP of supporting NEON is provied as a library.
Library Creation environment
CMSIS-DSP library of supporting NEON was created by the following environment.
- Compiler
ARMCC Version 5.03 - Compile option switch[C Compiler]
-DARM_MATH_MATRIX_CHECK -DARM_MATH_ROUNDING -O3 -Otime --cpu=Cortex-A9 --littleend --arm --apcs=/interwork --no_unaligned_access --fpu=vfpv3_fp16 --fpmode=fast --apcs=/hardfp --vectorize --asm
- Compile option switch[Assembler]
--cpreproc --cpu=Cortex-A9 --littleend --arm --apcs=/interwork --no_unaligned_access --fpu=vfpv3_fp16 --fpmode=fast --apcs=/hardfp
Effects of NEON support
In the data which passes to each function, large size will be expected more effective than small size.
Also if the data is a multiple of 16, effect will be expected in every function in the CMSIS-DSP.
NEON対応CMSIS-DSP
概要
NEON対応したCMSIS-DSPのライブラリです。
ARM社提供のCMSIS-DSP Ver1.4.3(CMSIS V4.1)をターゲットにNEON対応を行ない、処理速度向上を実現しております。
mbed-dspライブラリを使用している場合は、本ライブラリに置き換えて使用することができます。
NEON対応したCMSIS-DSPはライブラリで提供します。
ライブラリ作成環境
NEON対応CMSIS-DSPライブラリは、以下の環境で作成しています。
- コンパイラ
ARMCC Version 5.03 - コンパイルオプションスイッチ[C Compiler]
-DARM_MATH_MATRIX_CHECK -DARM_MATH_ROUNDING -O3 -Otime --cpu=Cortex-A9 --littleend --arm --apcs=/interwork --no_unaligned_access --fpu=vfpv3_fp16 --fpmode=fast --apcs=/hardfp --vectorize --asm
- コンパイルオプションスイッチ[Assembler]
--cpreproc --cpu=Cortex-A9 --littleend --arm --apcs=/interwork --no_unaligned_access --fpu=vfpv3_fp16 --fpmode=fast --apcs=/hardfp
NEON対応による効果について
CMSIS-DSP内の各関数へ渡すデータは、小さいサイズよりも大きいサイズの方が効果が見込めます。
また、16の倍数のデータであれば、CMSIS-DSP内のどの関数でも効果が見込めます。
Revision 5:a912b042151f, committed 2015-06-23
- Comitter:
- 1050186
- Date:
- Tue Jun 23 06:23:42 2015 +0000
- Parent:
- 4:9cee975aadce
- Commit message:
- first commit
Changed in this revision
--- a/cmsis_dsp/BasicMathFunctions/arm_abs_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,165 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_abs_f32.c -* -* Description: Vector absolute value. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" -#include <math.h> - -/** - * @ingroup groupMath - */ - -/** - * @defgroup BasicAbs Vector Absolute Value - * - * Computes the absolute value of a vector on an element-by-element basis. - * - * <pre> - * pDst[n] = abs(pSrc[n]), 0 <= n < blockSize. - * </pre> - * - * The functions support in-place computation allowing the source and - * destination pointers to reference the same memory buffer. - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup BasicAbs - * @{ - */ - -/** - * @brief Floating-point vector absolute value. - * @param[in] *pSrc points to the input buffer - * @param[out] *pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - * @return none. - */ - -void arm_abs_f32( - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; /* temporary variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = |A| */ - /* Calculate absolute and then store the results in the destination buffer. */ - /* read sample from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - - /* find absolute value */ - in1 = fabsf(in1); - - /* read sample from source */ - in4 = *(pSrc + 3); - - /* find absolute value */ - in2 = fabsf(in2); - - /* read sample from source */ - *pDst = in1; - - /* find absolute value */ - in3 = fabsf(in3); - - /* find absolute value */ - in4 = fabsf(in4); - - /* store result to destination */ - *(pDst + 1) = in2; - - /* store result to destination */ - *(pDst + 2) = in3; - - /* store result to destination */ - *(pDst + 3) = in4; - - - /* Update source pointer to process next sampels */ - pSrc += 4u; - - /* Update destination pointer to process next sampels */ - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Calculate absolute and then store the results in the destination buffer. */ - *pDst++ = fabsf(*pSrc++); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicAbs group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_abs_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,179 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_abs_q15.c -* -* Description: Q15 vector absolute value. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAbs - * @{ - */ - -/** - * @brief Q15 vector absolute value. - * @param[in] *pSrc points to the input buffer - * @param[out] *pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. - */ - -void arm_abs_q15( - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - __SIMD32_TYPE *simd; - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q15_t in1; /* Input value1 */ - q15_t in2; /* Input value2 */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - simd = __SIMD32_CONST(pDst); - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read two inputs */ - in1 = *pSrc++; - in2 = *pSrc++; - - - /* Store the Absolute result in the destination buffer by packing the two values, in a single cycle */ -#ifndef ARM_MATH_BIG_ENDIAN - *simd++ = - __PKHBT(((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), - ((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), 16); - -#else - - - *simd++ = - __PKHBT(((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), - ((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - in1 = *pSrc++; - in2 = *pSrc++; - - -#ifndef ARM_MATH_BIG_ENDIAN - - *simd++ = - __PKHBT(((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), - ((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), 16); - -#else - - - *simd++ = - __PKHBT(((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), - ((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Decrement the loop counter */ - blkCnt--; - } - pDst = (q15_t *)simd; - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read the input */ - in1 = *pSrc++; - - /* Calculate absolute value of input and then store the result in the destination buffer. */ - *pDst++ = (in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - q15_t in; /* Temporary input variable */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read the input */ - in = *pSrc++; - - /* Calculate absolute value of input and then store the result in the destination buffer. */ - *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of BasicAbs group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_abs_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,130 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_abs_q31.c -* -* Description: Q31 vector absolute value. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAbs - * @{ - */ - - -/** - * @brief Q31 vector absolute value. - * @param[in] *pSrc points to the input buffer - * @param[out] *pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. - */ - -void arm_abs_q31( - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - q31_t in; /* Input value */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = |A| */ - /* Calculate absolute of input (if -1 then saturated to 0x7fffffff) and then store the results in the destination buffer. */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - *pDst++ = (in1 > 0) ? in1 : (q31_t)__QSUB(0, in1); - *pDst++ = (in2 > 0) ? in2 : (q31_t)__QSUB(0, in2); - *pDst++ = (in3 > 0) ? in3 : (q31_t)__QSUB(0, in3); - *pDst++ = (in4 > 0) ? in4 : (q31_t)__QSUB(0, in4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Calculate absolute value of the input (if -1 then saturated to 0x7fffffff) and then store the results in the destination buffer. */ - in = *pSrc++; - *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in); - - /* Decrement the loop counter */ - blkCnt--; - } - -} - -/** - * @} end of BasicAbs group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_abs_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,157 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_abs_q7.c -* -* Description: Q7 vector absolute value. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAbs - * @{ - */ - -/** - * @brief Q7 vector absolute value. - * @param[in] *pSrc points to the input buffer - * @param[out] *pDst points to the output buffer - * @param[in] blockSize number of samples in each vector - * @return none. - * - * \par Conditions for optimum performance - * Input and output buffers should be aligned by 32-bit - * - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F. - */ - -void arm_abs_q7( - q7_t * pSrc, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - q7_t in; /* Input value1 */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; /* temporary input variables */ - q31_t out1, out2, out3, out4; /* temporary output variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read inputs */ - in1 = (q31_t) * pSrc; - in2 = (q31_t) * (pSrc + 1); - in3 = (q31_t) * (pSrc + 2); - - /* find absolute value */ - out1 = (in1 > 0) ? in1 : (q31_t)__QSUB8(0, in1); - - /* read input */ - in4 = (q31_t) * (pSrc + 3); - - /* find absolute value */ - out2 = (in2 > 0) ? in2 : (q31_t)__QSUB8(0, in2); - - /* store result to destination */ - *pDst = (q7_t) out1; - - /* find absolute value */ - out3 = (in3 > 0) ? in3 : (q31_t)__QSUB8(0, in3); - - /* find absolute value */ - out4 = (in4 > 0) ? in4 : (q31_t)__QSUB8(0, in4); - - /* store result to destination */ - *(pDst + 1) = (q7_t) out2; - - /* store result to destination */ - *(pDst + 2) = (q7_t) out3; - - /* store result to destination */ - *(pDst + 3) = (q7_t) out4; - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; -#else - - /* Run the below code for Cortex-M0 */ - blkCnt = blockSize; - -#endif // #define ARM_MATH_CM0_FAMILY - - while(blkCnt > 0u) - { - /* C = |A| */ - /* Read the input */ - in = *pSrc++; - - /* Store the Absolute result in the destination buffer */ - *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? 0x7f : -in); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicAbs group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_add_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,150 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_add_f32.c -* -* Description: Floating-point vector addition. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup BasicAdd Vector Addition - * - * Element-by-element addition of two vectors. - * - * <pre> - * pDst[n] = pSrcA[n] + pSrcB[n], 0 <= n < blockSize. - * </pre> - * - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup BasicAdd - * @{ - */ - -/** - * @brief Floating-point vector addition. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - */ - -void arm_add_f32( - float32_t * pSrcA, - float32_t * pSrcB, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t inA1, inA2, inA3, inA4; /* temporary input variabels */ - float32_t inB1, inB2, inB3, inB4; /* temporary input variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - - /* read four inputs from sourceA and four inputs from sourceB */ - inA1 = *pSrcA; - inB1 = *pSrcB; - inA2 = *(pSrcA + 1); - inB2 = *(pSrcB + 1); - inA3 = *(pSrcA + 2); - inB3 = *(pSrcB + 2); - inA4 = *(pSrcA + 3); - inB4 = *(pSrcB + 3); - - /* C = A + B */ - /* add and store result to destination */ - *pDst = inA1 + inB1; - *(pDst + 1) = inA2 + inB2; - *(pDst + 2) = inA3 + inB3; - *(pDst + 3) = inA4 + inB4; - - /* update pointers to process next samples */ - pSrcA += 4u; - pSrcB += 4u; - pDst += 4u; - - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (*pSrcA++) + (*pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicAdd group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_add_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,140 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_add_q15.c -* -* Description: Q15 vector addition -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAdd - * @{ - */ - -/** - * @brief Q15 vector addition. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -void arm_add_q15( - q15_t * pSrcA, - q15_t * pSrcB, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inB1, inB2; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - inA1 = *__SIMD32(pSrcA)++; - inA2 = *__SIMD32(pSrcA)++; - inB1 = *__SIMD32(pSrcB)++; - inB2 = *__SIMD32(pSrcB)++; - - *__SIMD32(pDst)++ = __QADD16(inA1, inB1); - *__SIMD32(pDst)++ = __QADD16(inA2, inB2); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q15_t) __QADD16(*pSrcA++, *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q15_t) __SSAT(((q31_t) * pSrcA++ + *pSrcB++), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - -} - -/** - * @} end of BasicAdd group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_add_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,148 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_add_q31.c -* -* Description: Q31 vector addition. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAdd - * @{ - */ - - -/** - * @brief Q31 vector addition. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. - */ - -void arm_add_q31( - q31_t * pSrcA, - q31_t * pSrcB, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inA3, inA4; - q31_t inB1, inB2, inB3, inB4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - inA1 = *pSrcA++; - inA2 = *pSrcA++; - inB1 = *pSrcB++; - inB2 = *pSrcB++; - - inA3 = *pSrcA++; - inA4 = *pSrcA++; - inB3 = *pSrcB++; - inB4 = *pSrcB++; - - *pDst++ = __QADD(inA1, inB1); - *pDst++ = __QADD(inA2, inB2); - *pDst++ = __QADD(inA3, inB3); - *pDst++ = __QADD(inA4, inB4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = __QADD(*pSrcA++, *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrcA++ + *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of BasicAdd group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_add_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,134 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_add_q7.c -* -* Description: Q7 vector addition. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicAdd - * @{ - */ - -/** - * @brief Q7 vector addition. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. - */ - -void arm_add_q7( - q7_t * pSrcA, - q7_t * pSrcB, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *__SIMD32(pDst)++ = __QADD8(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q7_t) __SSAT(*pSrcA++ + *pSrcB++, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + B */ - /* Add and then store the results in the destination buffer. */ - *pDst++ = (q7_t) __SSAT((q15_t) * pSrcA++ + *pSrcB++, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - -} - -/** - * @} end of BasicAdd group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_dot_prod_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,135 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_dot_prod_f32.c -* -* Description: Floating-point dot product. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup dot_prod Vector Dot Product - * - * Computes the dot product of two vectors. - * The vectors are multiplied element-by-element and then summed. - * - * <pre> - * sum = pSrcA[0]*pSrcB[0] + pSrcA[1]*pSrcB[1] + ... + pSrcA[blockSize-1]*pSrcB[blockSize-1] - * </pre> - * - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup dot_prod - * @{ - */ - -/** - * @brief Dot product of floating-point vectors. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] *result output result returned here - * @return none. - */ - - -void arm_dot_prod_f32( - float32_t * pSrcA, - float32_t * pSrcB, - uint32_t blockSize, - float32_t * result) -{ - float32_t sum = 0.0f; /* Temporary result storage */ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer */ - sum += (*pSrcA++) * (*pSrcB++); - sum += (*pSrcA++) * (*pSrcB++); - sum += (*pSrcA++) * (*pSrcB++); - sum += (*pSrcA++) * (*pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer. */ - sum += (*pSrcA++) * (*pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - /* Store the result back in the destination buffer */ - *result = sum; -} - -/** - * @} end of dot_prod group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_dot_prod_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,140 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_dot_prod_q15.c -* -* Description: Q15 dot product. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup dot_prod - * @{ - */ - -/** - * @brief Dot product of Q15 vectors. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] *result output result returned here - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The intermediate multiplications are in 1.15 x 1.15 = 2.30 format and these - * results are added to a 64-bit accumulator in 34.30 format. - * Nonsaturating additions are used and given that there are 33 guard bits in the accumulator - * there is no risk of overflow. - * The return result is in 34.30 format. - */ - -void arm_dot_prod_q15( - q15_t * pSrcA, - q15_t * pSrcB, - uint32_t blockSize, - q63_t * result) -{ - q63_t sum = 0; /* Temporary result storage */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer. */ - sum = __SMLALD(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++, sum); - sum = __SMLALD(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the results in a temporary buffer. */ - sum = __SMLALD(*pSrcA++, *pSrcB++, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the results in a temporary buffer. */ - sum += (q63_t) ((q31_t) * pSrcA++ * *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /* Store the result in the destination buffer in 34.30 format */ - *result = sum; - -} - -/** - * @} end of dot_prod group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_dot_prod_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,143 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_dot_prod_q31.c -* -* Description: Q31 dot product. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup dot_prod - * @{ - */ - -/** - * @brief Dot product of Q31 vectors. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] *result output result returned here - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The intermediate multiplications are in 1.31 x 1.31 = 2.62 format and these - * are truncated to 2.48 format by discarding the lower 14 bits. - * The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. - * There are 15 guard bits in the accumulator and there is no risk of overflow as long as - * the length of the vectors is less than 2^16 elements. - * The return result is in 16.48 format. - */ - -void arm_dot_prod_q31( - q31_t * pSrcA, - q31_t * pSrcB, - uint32_t blockSize, - q63_t * result) -{ - q63_t sum = 0; /* Temporary result storage */ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inA3, inA4; - q31_t inB1, inB2, inB3, inB4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer. */ - inA1 = *pSrcA++; - inA2 = *pSrcA++; - inA3 = *pSrcA++; - inA4 = *pSrcA++; - inB1 = *pSrcB++; - inB2 = *pSrcB++; - inB3 = *pSrcB++; - inB4 = *pSrcB++; - - sum += ((q63_t) inA1 * inB1) >> 14u; - sum += ((q63_t) inA2 * inB2) >> 14u; - sum += ((q63_t) inA3 * inB3) >> 14u; - sum += ((q63_t) inA4 * inB4) >> 14u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Calculate dot product and then store the result in a temporary buffer. */ - sum += ((q63_t) * pSrcA++ * *pSrcB++) >> 14u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Store the result in the destination buffer in 16.48 format */ - *result = sum; -} - -/** - * @} end of dot_prod group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_dot_prod_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,159 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_dot_prod_q7.c -* -* Description: Q7 dot product. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup dot_prod - * @{ - */ - -/** - * @brief Dot product of Q7 vectors. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[in] blockSize number of samples in each vector - * @param[out] *result output result returned here - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The intermediate multiplications are in 1.7 x 1.7 = 2.14 format and these - * results are added to an accumulator in 18.14 format. - * Nonsaturating additions are used and there is no danger of wrap around as long as - * the vectors are less than 2^18 elements long. - * The return result is in 18.14 format. - */ - -void arm_dot_prod_q7( - q7_t * pSrcA, - q7_t * pSrcB, - uint32_t blockSize, - q31_t * result) -{ - uint32_t blkCnt; /* loop counter */ - - q31_t sum = 0; /* Temporary variables to store output */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t input1, input2; /* Temporary variables to store input */ - q31_t inA1, inA2, inB1, inB2; /* Temporary variables to store input */ - - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read 4 samples at a time from sourceA */ - input1 = *__SIMD32(pSrcA)++; - /* read 4 samples at a time from sourceB */ - input2 = *__SIMD32(pSrcB)++; - - /* extract two q7_t samples to q15_t samples */ - inA1 = __SXTB16(__ROR(input1, 8)); - /* extract reminaing two samples */ - inA2 = __SXTB16(input1); - /* extract two q7_t samples to q15_t samples */ - inB1 = __SXTB16(__ROR(input2, 8)); - /* extract reminaing two samples */ - inB2 = __SXTB16(input2); - - /* multiply and accumulate two samples at a time */ - sum = __SMLAD(inA1, inB1, sum); - sum = __SMLAD(inA2, inB2, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Dot product and then store the results in a temporary buffer. */ - sum = __SMLAD(*pSrcA++, *pSrcB++, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ - /* Dot product and then store the results in a temporary buffer. */ - sum += (q31_t) ((q15_t) * pSrcA++ * *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - /* Store the result in the destination buffer in 18.14 format */ - *result = sum; -} - -/** - * @} end of dot_prod group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_mult_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,174 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mult_f32.c -* -* Description: Floating-point vector multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup BasicMult Vector Multiplication - * - * Element-by-element multiplication of two vectors. - * - * <pre> - * pDst[n] = pSrcA[n] * pSrcB[n], 0 <= n < blockSize. - * </pre> - * - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup BasicMult - * @{ - */ - -/** - * @brief Floating-point vector multiplication. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - */ - -void arm_mult_f32( - float32_t * pSrcA, - float32_t * pSrcB, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counters */ -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t inA1, inA2, inA3, inA4; /* temporary input variables */ - float32_t inB1, inB2, inB3, inB4; /* temporary input variables */ - float32_t out1, out2, out3, out4; /* temporary output variables */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the results in output buffer */ - /* read sample from sourceA */ - inA1 = *pSrcA; - /* read sample from sourceB */ - inB1 = *pSrcB; - /* read sample from sourceA */ - inA2 = *(pSrcA + 1); - /* read sample from sourceB */ - inB2 = *(pSrcB + 1); - - /* out = sourceA * sourceB */ - out1 = inA1 * inB1; - - /* read sample from sourceA */ - inA3 = *(pSrcA + 2); - /* read sample from sourceB */ - inB3 = *(pSrcB + 2); - - /* out = sourceA * sourceB */ - out2 = inA2 * inB2; - - /* read sample from sourceA */ - inA4 = *(pSrcA + 3); - - /* store result to destination buffer */ - *pDst = out1; - - /* read sample from sourceB */ - inB4 = *(pSrcB + 3); - - /* out = sourceA * sourceB */ - out3 = inA3 * inB3; - - /* store result to destination buffer */ - *(pDst + 1) = out2; - - /* out = sourceA * sourceB */ - out4 = inA4 * inB4; - /* store result to destination buffer */ - *(pDst + 2) = out3; - /* store result to destination buffer */ - *(pDst + 3) = out4; - - - /* update pointers to process next samples */ - pSrcA += 4u; - pSrcB += 4u; - pDst += 4u; - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the results in output buffer */ - *pDst++ = (*pSrcA++) * (*pSrcB++); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicMult group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_mult_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,154 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mult_q15.c -* -* Description: Q15 vector multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicMult - * @{ - */ - - -/** - * @brief Q15 vector multiplication - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -void arm_mult_q15( - q15_t * pSrcA, - q15_t * pSrcB, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counters */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inB1, inB2; /* temporary input variables */ - q15_t out1, out2, out3, out4; /* temporary output variables */ - q31_t mul1, mul2, mul3, mul4; /* temporary variables */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read two samples at a time from sourceA */ - inA1 = *__SIMD32(pSrcA)++; - /* read two samples at a time from sourceB */ - inB1 = *__SIMD32(pSrcB)++; - /* read two samples at a time from sourceA */ - inA2 = *__SIMD32(pSrcA)++; - /* read two samples at a time from sourceB */ - inB2 = *__SIMD32(pSrcB)++; - - /* multiply mul = sourceA * sourceB */ - mul1 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16)); - mul2 = (q31_t) ((q15_t) inA1 * (q15_t) inB1); - mul3 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB2 >> 16)); - mul4 = (q31_t) ((q15_t) inA2 * (q15_t) inB2); - - /* saturate result to 16 bit */ - out1 = (q15_t) __SSAT(mul1 >> 15, 16); - out2 = (q15_t) __SSAT(mul2 >> 15, 16); - out3 = (q15_t) __SSAT(mul3 >> 15, 16); - out4 = (q15_t) __SSAT(mul4 >> 15, 16); - - /* store the result */ -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT(out2, out1, 16); - *__SIMD32(pDst)++ = __PKHBT(out4, out3, 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT(out2, out1, 16); - *__SIMD32(pDst)++ = __PKHBT(out4, out3, 16); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the result in the destination buffer */ - *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicMult group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_mult_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,145 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mult_q31.c -* -* Description: Q31 vector multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicMult - * @{ - */ - -/** - * @brief Q31 vector multiplication. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. - */ - -void arm_mult_q31( - q31_t * pSrcA, - q31_t * pSrcB, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counters */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inA3, inA4; /* temporary input variables */ - q31_t inB1, inB2, inB3, inB4; /* temporary input variables */ - q31_t out1, out2, out3, out4; /* temporary output variables */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and then store the results in the destination buffer. */ - inA1 = *pSrcA++; - inA2 = *pSrcA++; - inA3 = *pSrcA++; - inA4 = *pSrcA++; - inB1 = *pSrcB++; - inB2 = *pSrcB++; - inB3 = *pSrcB++; - inB4 = *pSrcB++; - - out1 = ((q63_t) inA1 * inB1) >> 32; - out2 = ((q63_t) inA2 * inB2) >> 32; - out3 = ((q63_t) inA3 * inB3) >> 32; - out4 = ((q63_t) inA4 * inB4) >> 32; - - out1 = __SSAT(out1, 31); - out2 = __SSAT(out2, 31); - out3 = __SSAT(out3, 31); - out4 = __SSAT(out4, 31); - - *pDst++ = out1 << 1u; - *pDst++ = out2 << 1u; - *pDst++ = out3 << 1u; - *pDst++ = out4 << 1u; - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and then store the results in the destination buffer. */ - *pDst++ = - (q31_t) clip_q63_to_q31(((q63_t) (*pSrcA++) * (*pSrcB++)) >> 31); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicMult group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_mult_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,127 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mult_q7.c -* -* Description: Q7 vector multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicMult - * @{ - */ - -/** - * @brief Q7 vector multiplication - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. - */ - -void arm_mult_q7( - q7_t * pSrcA, - q7_t * pSrcB, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counters */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q7_t out1, out2, out3, out4; /* Temporary variables to store the product */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the results in temporary variables */ - out1 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - out2 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - out3 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - out4 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - - /* Store the results of 4 inputs in the destination buffer in single cycle by packing */ - *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = A * B */ - /* Multiply the inputs and store the result in the destination buffer */ - *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicMult group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_negate_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,146 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_negate_f32.c -* -* Description: Negates floating-point vectors. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup negate Vector Negate - * - * Negates the elements of a vector. - * - * <pre> - * pDst[n] = -pSrc[n], 0 <= n < blockSize. - * </pre> - * - * The functions support in-place computation allowing the source and - * destination pointers to reference the same memory buffer. - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup negate - * @{ - */ - -/** - * @brief Negates the elements of a floating-point vector. - * @param[in] *pSrc points to the input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - */ - -void arm_negate_f32( - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; /* temporary variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read inputs from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* negate the input */ - in1 = -in1; - in2 = -in2; - in3 = -in3; - in4 = -in4; - - /* store the result to destination */ - *pDst = in1; - *(pDst + 1) = in2; - *(pDst + 2) = in3; - *(pDst + 3) = in4; - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the results in the destination buffer. */ - *pDst++ = -*pSrc++; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of negate group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_negate_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,142 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_negate_q15.c -* -* Description: Negates Q15 vectors. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup negate - * @{ - */ - -/** - * @brief Negates the elements of a Q15 vector. - * @param[in] *pSrc points to the input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * \par Conditions for optimum performance - * Input and output buffers should be aligned by 32-bit - * - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. - */ - -void arm_negate_q15( - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - q15_t in; - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t in1, in2; /* Temporary variables */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = -A */ - /* Read two inputs at a time */ - in1 = _SIMD32_OFFSET(pSrc); - in2 = _SIMD32_OFFSET(pSrc + 2); - - /* negate two samples at a time */ - in1 = __QSUB16(0, in1); - - /* negate two samples at a time */ - in2 = __QSUB16(0, in2); - - /* store the result to destination 2 samples at a time */ - _SIMD32_OFFSET(pDst) = in1; - /* store the result to destination 2 samples at a time */ - _SIMD32_OFFSET(pDst + 2) = in2; - - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the result in the destination buffer. */ - in = *pSrc++; - *pDst++ = (in == (q15_t) 0x8000) ? 0x7fff : -in; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of negate group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_negate_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,129 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_negate_q31.c -* -* Description: Negates Q31 vectors. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup negate - * @{ - */ - -/** - * @brief Negates the elements of a Q31 vector. - * @param[in] *pSrc points to the input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. - */ - -void arm_negate_q31( - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t in; /* Temporary variable */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the results in the destination buffer. */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - *pDst++ = __QSUB(0, in1); - *pDst++ = __QSUB(0, in2); - *pDst++ = __QSUB(0, in3); - *pDst++ = __QSUB(0, in4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the result in the destination buffer. */ - in = *pSrc++; - *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of negate group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_negate_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,125 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_negate_q7.c -* -* Description: Negates Q7 vectors. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup negate - * @{ - */ - -/** - * @brief Negates the elements of a Q7 vector. - * @param[in] *pSrc points to the input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F. - */ - -void arm_negate_q7( - q7_t * pSrc, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - q7_t in; - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t input; /* Input values1-4 */ - q31_t zero = 0x00000000; - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = -A */ - /* Read four inputs */ - input = *__SIMD32(pSrc)++; - - /* Store the Negated results in the destination buffer in a single cycle by packing the results */ - *__SIMD32(pDst)++ = __QSUB8(zero, input); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = -A */ - /* Negate and then store the results in the destination buffer. */ \ - in = *pSrc++; - *pDst++ = (in == (q7_t) 0x80) ? 0x7f : -in; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of negate group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_offset_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,165 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_offset_f32.c -* -* Description: Floating-point vector offset. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup offset Vector Offset - * - * Adds a constant offset to each element of a vector. - * - * <pre> - * pDst[n] = pSrc[n] + offset, 0 <= n < blockSize. - * </pre> - * - * The functions support in-place computation allowing the source and - * destination pointers to reference the same memory buffer. - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup offset - * @{ - */ - -/** - * @brief Adds a constant offset to a floating-point vector. - * @param[in] *pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - */ - - -void arm_offset_f32( - float32_t * pSrc, - float32_t offset, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer. */ - /* read samples from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - - /* add offset to input */ - in1 = in1 + offset; - - /* read samples from source */ - in3 = *(pSrc + 2); - - /* add offset to input */ - in2 = in2 + offset; - - /* read samples from source */ - in4 = *(pSrc + 3); - - /* add offset to input */ - in3 = in3 + offset; - - /* store result to destination */ - *pDst = in1; - - /* add offset to input */ - in4 = in4 + offset; - - /* store result to destination */ - *(pDst + 1) = in2; - - /* store result to destination */ - *(pDst + 2) = in3; - - /* store result to destination */ - *(pDst + 3) = in4; - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = (*pSrc++) + offset; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of offset group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_offset_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,136 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_offset_q15.c -* -* Description: Q15 vector offset. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup offset - * @{ - */ - -/** - * @brief Adds a constant offset to a Q15 vector. - * @param[in] *pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. - */ - -void arm_offset_q15( - q15_t * pSrc, - q15_t offset, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t offset_packed; /* Offset packed to 32 bit */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Offset is packed to 32 bit in order to use SIMD32 for addition */ - offset_packed = __PKHBT(offset, offset, 16); - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer, 2 samples at a time. */ - *__SIMD32(pDst)++ = __QADD16(*__SIMD32(pSrc)++, offset_packed); - *__SIMD32(pDst)++ = __QADD16(*__SIMD32(pSrc)++, offset_packed); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer. */ - *pDst++ = (q15_t) __QADD16(*pSrc++, offset); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer. */ - *pDst++ = (q15_t) __SSAT(((q31_t) * pSrc++ + offset), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of offset group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_offset_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,140 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_offset_q31.c -* -* Description: Q31 vector offset. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup offset - * @{ - */ - -/** - * @brief Adds a constant offset to a Q31 vector. - * @param[in] *pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. - */ - -void arm_offset_q31( - q31_t * pSrc, - q31_t offset, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination buffer. */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - *pDst++ = __QADD(in1, offset); - *pDst++ = __QADD(in2, offset); - *pDst++ = __QADD(in3, offset); - *pDst++ = __QADD(in4, offset); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = __QADD(*pSrc++, offset); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of offset group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_offset_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,135 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_offset_q7.c -* -* Description: Q7 vector offset. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup offset - * @{ - */ - -/** - * @brief Adds a constant offset to a Q7 vector. - * @param[in] *pSrc points to the input vector - * @param[in] offset is the offset to be added - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x80 0x7F] are saturated. - */ - -void arm_offset_q7( - q7_t * pSrc, - q7_t offset, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t offset_packed; /* Offset packed to 32 bit */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Offset is packed to 32 bit in order to use SIMD32 for addition */ - offset_packed = __PACKq7(offset, offset, offset, offset); - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the results in the destination bufferfor 4 samples at a time. */ - *__SIMD32(pDst)++ = __QADD8(*__SIMD32(pSrc)++, offset_packed); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A + offset */ - /* Add offset and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT((q15_t) * pSrc++ + offset, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of offset group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_scale_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,169 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_scale_f32.c -* -* Description: Multiplies a floating-point vector by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup scale Vector Scale - * - * Multiply a vector by a scalar value. For floating-point data, the algorithm used is: - * - * <pre> - * pDst[n] = pSrc[n] * scale, 0 <= n < blockSize. - * </pre> - * - * In the fixed-point Q7, Q15, and Q31 functions, <code>scale</code> is represented by - * a fractional multiplication <code>scaleFract</code> and an arithmetic shift <code>shift</code>. - * The shift allows the gain of the scaling operation to exceed 1.0. - * The algorithm used with fixed-point data is: - * - * <pre> - * pDst[n] = (pSrc[n] * scaleFract) << shift, 0 <= n < blockSize. - * </pre> - * - * The overall scale factor applied to the fixed-point data is - * <pre> - * scale = scaleFract * 2^shift. - * </pre> - * - * The functions support in-place computation allowing the source and destination - * pointers to reference the same memory buffer. - */ - -/** - * @addtogroup scale - * @{ - */ - -/** - * @brief Multiplies a floating-point vector by a scalar. - * @param[in] *pSrc points to the input vector - * @param[in] scale scale factor to be applied - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - */ - - -void arm_scale_f32( - float32_t * pSrc, - float32_t scale, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; /* temporary variabels */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the results in the destination buffer. */ - /* read input samples from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - - /* multiply with scaling factor */ - in1 = in1 * scale; - - /* read input sample from source */ - in3 = *(pSrc + 2); - - /* multiply with scaling factor */ - in2 = in2 * scale; - - /* read input sample from source */ - in4 = *(pSrc + 3); - - /* multiply with scaling factor */ - in3 = in3 * scale; - in4 = in4 * scale; - /* store the result to destination */ - *pDst = in1; - *(pDst + 1) = in2; - *(pDst + 2) = in3; - *(pDst + 3) = in4; - - /* update pointers to process next samples */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (*pSrc++) * scale; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of scale group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_scale_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,162 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_scale_q15.c -* -* Description: Multiplies a Q15 vector by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup scale - * @{ - */ - -/** - * @brief Multiplies a Q15 vector by a scalar. - * @param[in] *pSrc points to the input vector - * @param[in] scaleFract fractional portion of the scale value - * @param[in] shift number of bits to shift the result by - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.15 format. - * These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format. - */ - - -void arm_scale_q15( - q15_t * pSrc, - q15_t scaleFract, - int8_t shift, - q15_t * pDst, - uint32_t blockSize) -{ - int8_t kShift = 15 - shift; /* shift to apply after scaling */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q15_t in1, in2, in3, in4; - q31_t inA1, inA2; /* Temporary variables */ - q31_t out1, out2, out3, out4; - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Reading 2 inputs from memory */ - inA1 = *__SIMD32(pSrc)++; - inA2 = *__SIMD32(pSrc)++; - - /* C = A * scale */ - /* Scale the inputs and then store the 2 results in the destination buffer - * in single cycle by packing the outputs */ - out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract); - out2 = (q31_t) ((q15_t) inA1 * scaleFract); - out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract); - out4 = (q31_t) ((q15_t) inA2 * scaleFract); - - /* apply shifting */ - out1 = out1 >> kShift; - out2 = out2 >> kShift; - out3 = out3 >> kShift; - out4 = out4 >> kShift; - - /* saturate the output */ - in1 = (q15_t) (__SSAT(out1, 16)); - in2 = (q15_t) (__SSAT(out2, 16)); - in3 = (q15_t) (__SSAT(out3, 16)); - in4 = (q15_t) (__SSAT(out4, 16)); - - /* store the result to destination */ - *__SIMD32(pDst)++ = __PKHBT(in2, in1, 16); - *__SIMD32(pDst)++ = __PKHBT(in4, in3, 16); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (q15_t) (__SSAT(((*pSrc++) * scaleFract) >> kShift, 16)); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (q15_t) (__SSAT(((q31_t) * pSrc++ * scaleFract) >> kShift, 16)); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of scale group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_scale_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,239 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_scale_q31.c -* -* Description: Multiplies a Q31 vector by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup scale - * @{ - */ - -/** - * @brief Multiplies a Q31 vector by a scalar. - * @param[in] *pSrc points to the input vector - * @param[in] scaleFract fractional portion of the scale value - * @param[in] shift number of bits to shift the result by - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.31 format. - * These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format. - */ - -void arm_scale_q31( - q31_t * pSrc, - q31_t scaleFract, - int8_t shift, - q31_t * pDst, - uint32_t blockSize) -{ - int8_t kShift = shift + 1; /* Shift to apply after scaling */ - int8_t sign = (kShift & 0x80); - uint32_t blkCnt; /* loop counter */ - q31_t in, out; - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t in1, in2, in3, in4; /* temporary input variables */ - q31_t out1, out2, out3, out4; /* temporary output variabels */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - if(sign == 0u) - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read four inputs from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* multiply input with scaler value */ - in1 = ((q63_t) in1 * scaleFract) >> 32; - in2 = ((q63_t) in2 * scaleFract) >> 32; - in3 = ((q63_t) in3 * scaleFract) >> 32; - in4 = ((q63_t) in4 * scaleFract) >> 32; - - /* apply shifting */ - out1 = in1 << kShift; - out2 = in2 << kShift; - - /* saturate the results. */ - if(in1 != (out1 >> kShift)) - out1 = 0x7FFFFFFF ^ (in1 >> 31); - - if(in2 != (out2 >> kShift)) - out2 = 0x7FFFFFFF ^ (in2 >> 31); - - out3 = in3 << kShift; - out4 = in4 << kShift; - - *pDst = out1; - *(pDst + 1) = out2; - - if(in3 != (out3 >> kShift)) - out3 = 0x7FFFFFFF ^ (in3 >> 31); - - if(in4 != (out4 >> kShift)) - out4 = 0x7FFFFFFF ^ (in4 >> 31); - - /* Store result destination */ - *(pDst + 2) = out3; - *(pDst + 3) = out4; - - /* Update pointers to process next sampels */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - } - else - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read four inputs from source */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* multiply input with scaler value */ - in1 = ((q63_t) in1 * scaleFract) >> 32; - in2 = ((q63_t) in2 * scaleFract) >> 32; - in3 = ((q63_t) in3 * scaleFract) >> 32; - in4 = ((q63_t) in4 * scaleFract) >> 32; - - /* apply shifting */ - out1 = in1 >> -kShift; - out2 = in2 >> -kShift; - - out3 = in3 >> -kShift; - out4 = in4 >> -kShift; - - /* Store result destination */ - *pDst = out1; - *(pDst + 1) = out2; - - *(pDst + 2) = out3; - *(pDst + 3) = out4; - - /* Update pointers to process next sampels */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - } - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - if(sign == 0) - { - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - in = *pSrc++; - in = ((q63_t) in * scaleFract) >> 32; - - out = in << kShift; - - if(in != (out >> kShift)) - out = 0x7FFFFFFF ^ (in >> 31); - - *pDst++ = out; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - in = *pSrc++; - in = ((q63_t) in * scaleFract) >> 32; - - out = in >> -kShift; - - *pDst++ = out; - - /* Decrement the loop counter */ - blkCnt--; - } - - } -} - -/** - * @} end of scale group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_scale_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,149 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_scale_q7.c -* -* Description: Multiplies a Q7 vector by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup scale - * @{ - */ - -/** - * @brief Multiplies a Q7 vector by a scalar. - * @param[in] *pSrc points to the input vector - * @param[in] scaleFract fractional portion of the scale value - * @param[in] shift number of bits to shift the result by - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.7 format. - * These are multiplied to yield a 2.14 intermediate result and this is shifted with saturation to 1.7 format. - */ - -void arm_scale_q7( - q7_t * pSrc, - q7_t scaleFract, - int8_t shift, - q7_t * pDst, - uint32_t blockSize) -{ - int8_t kShift = 7 - shift; /* shift to apply after scaling */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q7_t in1, in2, in3, in4, out1, out2, out3, out4; /* Temporary variables to store input & output */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Reading 4 inputs from memory */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - /* C = A * scale */ - /* Scale the inputs and then store the results in the temporary variables. */ - out1 = (q7_t) (__SSAT(((in1) * scaleFract) >> kShift, 8)); - out2 = (q7_t) (__SSAT(((in2) * scaleFract) >> kShift, 8)); - out3 = (q7_t) (__SSAT(((in3) * scaleFract) >> kShift, 8)); - out4 = (q7_t) (__SSAT(((in4) * scaleFract) >> kShift, 8)); - - /* Packing the individual outputs into 32bit and storing in - * destination buffer in single write */ - *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (q7_t) (__SSAT(((*pSrc++) * scaleFract) >> kShift, 8)); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A * scale */ - /* Scale the input and then store the result in the destination buffer. */ - *pDst++ = (q7_t) (__SSAT((((q15_t) * pSrc++ * scaleFract) >> kShift), 8)); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of scale group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_shift_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,248 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_shift_q15.c -* -* Description: Shifts the elements of a Q15 vector by a specified number of bits. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup shift - * @{ - */ - -/** - * @brief Shifts the elements of a Q15 vector a specified number of bits. - * @param[in] *pSrc points to the input vector - * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -void arm_shift_q15( - q15_t * pSrc, - int8_t shiftBits, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - uint8_t sign; /* Sign of shiftBits */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - q15_t in1, in2; /* Temporary variables */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Getting the sign of shiftBits */ - sign = (shiftBits & 0x80); - - /* If the shift value is positive then do right shift else left shift */ - if(sign == 0u) - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Read 2 inputs */ - in1 = *pSrc++; - in2 = *pSrc++; - /* C = A << shiftBits */ - /* Shift the inputs and then store the results in the destination buffer. */ -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT(__SSAT((in1 << shiftBits), 16), - __SSAT((in2 << shiftBits), 16), 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT(__SSAT((in2 << shiftBits), 16), - __SSAT((in1 << shiftBits), 16), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - in1 = *pSrc++; - in2 = *pSrc++; - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT(__SSAT((in1 << shiftBits), 16), - __SSAT((in2 << shiftBits), 16), 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT(__SSAT((in2 << shiftBits), 16), - __SSAT((in1 << shiftBits), 16), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift and then store the results in the destination buffer. */ - *pDst++ = __SSAT((*pSrc++ << shiftBits), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Read 2 inputs */ - in1 = *pSrc++; - in2 = *pSrc++; - - /* C = A >> shiftBits */ - /* Shift the inputs and then store the results in the destination buffer. */ -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT((in1 >> -shiftBits), - (in2 >> -shiftBits), 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT((in2 >> -shiftBits), - (in1 >> -shiftBits), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - in1 = *pSrc++; - in2 = *pSrc++; - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT((in1 >> -shiftBits), - (in2 >> -shiftBits), 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT((in2 >> -shiftBits), - (in1 >> -shiftBits), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the inputs and then store the results in the destination buffer. */ - *pDst++ = (*pSrc++ >> -shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Getting the sign of shiftBits */ - sign = (shiftBits & 0x80); - - /* If the shift value is positive then do right shift else left shift */ - if(sign == 0u) - { - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift and then store the results in the destination buffer. */ - *pDst++ = __SSAT(((q31_t) * pSrc++ << shiftBits), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the inputs and then store the results in the destination buffer. */ - *pDst++ = (*pSrc++ >> -shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of shift group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_shift_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,203 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_shift_q31.c -* -* Description: Shifts the elements of a Q31 vector by a specified number of bits. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ -/** - * @defgroup shift Vector Shift - * - * Shifts the elements of a fixed-point vector by a specified number of bits. - * There are separate functions for Q7, Q15, and Q31 data types. - * The underlying algorithm used is: - * - * <pre> - * pDst[n] = pSrc[n] << shift, 0 <= n < blockSize. - * </pre> - * - * If <code>shift</code> is positive then the elements of the vector are shifted to the left. - * If <code>shift</code> is negative then the elements of the vector are shifted to the right. - * - * The functions support in-place computation allowing the source and destination - * pointers to reference the same memory buffer. - */ - -/** - * @addtogroup shift - * @{ - */ - -/** - * @brief Shifts the elements of a Q31 vector a specified number of bits. - * @param[in] *pSrc points to the input vector - * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. - */ - -void arm_shift_q31( - q31_t * pSrc, - int8_t shiftBits, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - uint8_t sign = (shiftBits & 0x80); /* Sign of shiftBits */ - -#ifndef ARM_MATH_CM0_FAMILY - - q31_t in1, in2, in3, in4; /* Temporary input variables */ - q31_t out1, out2, out3, out4; /* Temporary output variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - - if(sign == 0u) - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift the input and then store the results in the destination buffer. */ - in1 = *pSrc; - in2 = *(pSrc + 1); - out1 = in1 << shiftBits; - in3 = *(pSrc + 2); - out2 = in2 << shiftBits; - in4 = *(pSrc + 3); - if(in1 != (out1 >> shiftBits)) - out1 = 0x7FFFFFFF ^ (in1 >> 31); - - if(in2 != (out2 >> shiftBits)) - out2 = 0x7FFFFFFF ^ (in2 >> 31); - - *pDst = out1; - out3 = in3 << shiftBits; - *(pDst + 1) = out2; - out4 = in4 << shiftBits; - - if(in3 != (out3 >> shiftBits)) - out3 = 0x7FFFFFFF ^ (in3 >> 31); - - if(in4 != (out4 >> shiftBits)) - out4 = 0x7FFFFFFF ^ (in4 >> 31); - - *(pDst + 2) = out3; - *(pDst + 3) = out4; - - /* Update destination pointer to process next sampels */ - pSrc += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the input and then store the results in the destination buffer. */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - *pDst = (in1 >> -shiftBits); - *(pDst + 1) = (in2 >> -shiftBits); - *(pDst + 2) = (in3 >> -shiftBits); - *(pDst + 3) = (in4 >> -shiftBits); - - - pSrc += 4u; - pDst += 4u; - - blkCnt--; - } - - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = A (>> or <<) shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - *pDst++ = (sign == 0u) ? clip_q63_to_q31((q63_t) * pSrc++ << shiftBits) : - (*pSrc++ >> -shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - - -} - -/** - * @} end of shift group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_shift_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,220 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_shift_q7.c -* -* Description: Processing function for the Q7 Shifting -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup shift - * @{ - */ - - -/** - * @brief Shifts the elements of a Q7 vector a specified number of bits. - * @param[in] *pSrc points to the input vector - * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in the vector - * @return none. - * - * \par Conditions for optimum performance - * Input and output buffers should be aligned by 32-bit - * - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x8 0x7F] will be saturated. - */ - -void arm_shift_q7( - q7_t * pSrc, - int8_t shiftBits, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - uint8_t sign; /* Sign of shiftBits */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q7_t in1; /* Input value1 */ - q7_t in2; /* Input value2 */ - q7_t in3; /* Input value3 */ - q7_t in4; /* Input value4 */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Getting the sign of shiftBits */ - sign = (shiftBits & 0x80); - - /* If the shift value is positive then do right shift else left shift */ - if(sign == 0u) - { - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Read 4 inputs */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* Store the Shifted result in the destination buffer in single cycle by packing the outputs */ - *__SIMD32(pDst)++ = __PACKq7(__SSAT((in1 << shiftBits), 8), - __SSAT((in2 << shiftBits), 8), - __SSAT((in3 << shiftBits), 8), - __SSAT((in4 << shiftBits), 8)); - /* Update source pointer to process next sampels */ - pSrc += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT((*pSrc++ << shiftBits), 8); - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - shiftBits = -shiftBits; - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Read 4 inputs */ - in1 = *pSrc; - in2 = *(pSrc + 1); - in3 = *(pSrc + 2); - in4 = *(pSrc + 3); - - /* Store the Shifted result in the destination buffer in single cycle by packing the outputs */ - *__SIMD32(pDst)++ = __PACKq7((in1 >> shiftBits), (in2 >> shiftBits), - (in3 >> shiftBits), (in4 >> shiftBits)); - - - pSrc += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - in1 = *pSrc++; - *pDst++ = (in1 >> shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Getting the sign of shiftBits */ - sign = (shiftBits & 0x80); - - /* If the shift value is positive then do right shift else left shift */ - if(sign == 0u) - { - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A << shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT(((q15_t) * pSrc++ << shiftBits), 8); - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A >> shiftBits */ - /* Shift the input and then store the result in the destination buffer. */ - *pDst++ = (*pSrc++ >> -shiftBits); - - /* Decrement the loop counter */ - blkCnt--; - } - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ -} - -/** - * @} end of shift group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_sub_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,150 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_sub_f32.c -* -* Description: Floating-point vector subtraction. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @defgroup BasicSub Vector Subtraction - * - * Element-by-element subtraction of two vectors. - * - * <pre> - * pDst[n] = pSrcA[n] - pSrcB[n], 0 <= n < blockSize. - * </pre> - * - * There are separate functions for floating-point, Q7, Q15, and Q31 data types. - */ - -/** - * @addtogroup BasicSub - * @{ - */ - - -/** - * @brief Floating-point vector subtraction. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - */ - -void arm_sub_f32( - float32_t * pSrcA, - float32_t * pSrcB, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t inA1, inA2, inA3, inA4; /* temporary variables */ - float32_t inB1, inB2, inB3, inB4; /* temporary variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer. */ - /* Read 4 input samples from sourceA and sourceB */ - inA1 = *pSrcA; - inB1 = *pSrcB; - inA2 = *(pSrcA + 1); - inB2 = *(pSrcB + 1); - inA3 = *(pSrcA + 2); - inB3 = *(pSrcB + 2); - inA4 = *(pSrcA + 3); - inB4 = *(pSrcB + 3); - - /* dst = srcA - srcB */ - /* subtract and store the result */ - *pDst = inA1 - inB1; - *(pDst + 1) = inA2 - inB2; - *(pDst + 2) = inA3 - inB3; - *(pDst + 3) = inA4 - inB4; - - - /* Update pointers to process next sampels */ - pSrcA += 4u; - pSrcB += 4u; - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer. */ - *pDst++ = (*pSrcA++) - (*pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicSub group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_sub_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,140 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_sub_q15.c -* -* Description: Q15 vector subtraction. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicSub - * @{ - */ - -/** - * @brief Q15 vector subtraction. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -void arm_sub_q15( - q15_t * pSrcA, - q15_t * pSrcB, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2; - q31_t inB1, inB2; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer two samples at a time. */ - inA1 = *__SIMD32(pSrcA)++; - inA2 = *__SIMD32(pSrcA)++; - inB1 = *__SIMD32(pSrcB)++; - inB2 = *__SIMD32(pSrcB)++; - - *__SIMD32(pDst)++ = __QSUB16(inA1, inB1); - *__SIMD32(pDst)++ = __QSUB16(inA2, inB2); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = (q15_t) __QSUB16(*pSrcA++, *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = (q15_t) __SSAT(((q31_t) * pSrcA++ - *pSrcB++), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - -} - -/** - * @} end of BasicSub group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_sub_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,146 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_sub_q31.c -* -* Description: Q31 vector subtraction. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicSub - * @{ - */ - -/** - * @brief Q31 vector subtraction. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. - */ - -void arm_sub_q31( - q31_t * pSrcA, - q31_t * pSrcB, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inA1, inA2, inA3, inA4; - q31_t inB1, inB2, inB3, inB4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer. */ - inA1 = *pSrcA++; - inA2 = *pSrcA++; - inB1 = *pSrcB++; - inB2 = *pSrcB++; - - inA3 = *pSrcA++; - inA4 = *pSrcA++; - inB3 = *pSrcB++; - inB4 = *pSrcB++; - - *pDst++ = __QSUB(inA1, inB1); - *pDst++ = __QSUB(inA2, inB2); - *pDst++ = __QSUB(inA3, inB3); - *pDst++ = __QSUB(inA4, inB4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = __QSUB(*pSrcA++, *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrcA++ - *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of BasicSub group - */
--- a/cmsis_dsp/BasicMathFunctions/arm_sub_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,131 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_sub_q7.c -* -* Description: Q7 vector subtraction. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMath - */ - -/** - * @addtogroup BasicSub - * @{ - */ - -/** - * @brief Q7 vector subtraction. - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] blockSize number of samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. - */ - -void arm_sub_q7( - q7_t * pSrcA, - q7_t * pSrcB, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the results in the destination buffer 4 samples at a time. */ - *__SIMD32(pDst)++ = __QSUB8(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = __SSAT(*pSrcA++ - *pSrcB++, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A - B */ - /* Subtract and then store the result in the destination buffer. */ - *pDst++ = (q7_t) __SSAT((q15_t) * pSrcA++ - *pSrcB++, 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - -} - -/** - * @} end of BasicSub group - */
Binary file cmsis_dsp/CMSIS-DSP_RZA1.ar has changed
--- a/cmsis_dsp/CommonTables/arm_common_tables.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,16065 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_common_tables.c -* -* Description: This file has common tables like fft twiddle factors, Bitreverse, reciprocal etc which are used across different functions -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - - -#include "arm_math.h" -#include "arm_common_tables.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup CFFT_CIFFT Complex FFT Tables - * @{ - */ - -/** -* \par -* Pseudo code for Generation of Bit reversal Table is -* \par -* <pre>for(l=1;l <= N/4;l++) -* { -* for(i=0;i<logN2;i++) -* { -* a[i]=l&(1<<i); -* } -* for(j=0; j<logN2; j++) -* { -* if (a[j]!=0) -* y[l]+=(1<<((logN2-1)-j)); -* } -* y[l] = y[l] >> 1; -* } </pre> -* \par -* where N = 4096 logN2 = 12 -* \par -* N is the maximum FFT Size supported -*/ - -/* -* @brief Table for bit reversal process -*/ -const uint16_t armBitRevTable[1024] = { - 0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, - 0x80, 0x480, 0x280, 0x680, 0x180, 0x580, 0x380, - 0x780, 0x40, 0x440, 0x240, 0x640, 0x140, 0x540, - 0x340, 0x740, 0xc0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, - 0x5c0, 0x3c0, 0x7c0, 0x20, 0x420, 0x220, 0x620, - 0x120, 0x520, 0x320, 0x720, 0xa0, 0x4a0, 0x2a0, - 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x60, 0x460, - 0x260, 0x660, 0x160, 0x560, 0x360, 0x760, 0xe0, - 0x4e0, 0x2e0, 0x6e0, 0x1e0, 0x5e0, 0x3e0, 0x7e0, - 0x10, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310, - 0x710, 0x90, 0x490, 0x290, 0x690, 0x190, 0x590, - 0x390, 0x790, 0x50, 0x450, 0x250, 0x650, 0x150, - 0x550, 0x350, 0x750, 0xd0, 0x4d0, 0x2d0, 0x6d0, - 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x30, 0x430, 0x230, - 0x630, 0x130, 0x530, 0x330, 0x730, 0xb0, 0x4b0, - 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, 0x7b0, 0x70, - 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, - 0xf0, 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, - 0x7f0, 0x8, 0x408, 0x208, 0x608, 0x108, 0x508, - 0x308, 0x708, 0x88, 0x488, 0x288, 0x688, 0x188, - 0x588, 0x388, 0x788, 0x48, 0x448, 0x248, 0x648, - 0x148, 0x548, 0x348, 0x748, 0xc8, 0x4c8, 0x2c8, - 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x28, 0x428, - 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0xa8, - 0x4a8, 0x2a8, 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, - 0x68, 0x468, 0x268, 0x668, 0x168, 0x568, 0x368, - 0x768, 0xe8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, - 0x3e8, 0x7e8, 0x18, 0x418, 0x218, 0x618, 0x118, - 0x518, 0x318, 0x718, 0x98, 0x498, 0x298, 0x698, - 0x198, 0x598, 0x398, 0x798, 0x58, 0x458, 0x258, - 0x658, 0x158, 0x558, 0x358, 0x758, 0xd8, 0x4d8, - 0x2d8, 0x6d8, 0x1d8, 0x5d8, 0x3d8, 0x7d8, 0x38, - 0x438, 0x238, 0x638, 0x138, 0x538, 0x338, 0x738, - 0xb8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, - 0x7b8, 0x78, 0x478, 0x278, 0x678, 0x178, 0x578, - 0x378, 0x778, 0xf8, 0x4f8, 0x2f8, 0x6f8, 0x1f8, - 0x5f8, 0x3f8, 0x7f8, 0x4, 0x404, 0x204, 0x604, - 0x104, 0x504, 0x304, 0x704, 0x84, 0x484, 0x284, - 0x684, 0x184, 0x584, 0x384, 0x784, 0x44, 0x444, - 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0xc4, - 0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, - 0x24, 0x424, 0x224, 0x624, 0x124, 0x524, 0x324, - 0x724, 0xa4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, 0x5a4, - 0x3a4, 0x7a4, 0x64, 0x464, 0x264, 0x664, 0x164, - 0x564, 0x364, 0x764, 0xe4, 0x4e4, 0x2e4, 0x6e4, - 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x14, 0x414, 0x214, - 0x614, 0x114, 0x514, 0x314, 0x714, 0x94, 0x494, - 0x294, 0x694, 0x194, 0x594, 0x394, 0x794, 0x54, - 0x454, 0x254, 0x654, 0x154, 0x554, 0x354, 0x754, - 0xd4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4, - 0x7d4, 0x34, 0x434, 0x234, 0x634, 0x134, 0x534, - 0x334, 0x734, 0xb4, 0x4b4, 0x2b4, 0x6b4, 0x1b4, - 0x5b4, 0x3b4, 0x7b4, 0x74, 0x474, 0x274, 0x674, - 0x174, 0x574, 0x374, 0x774, 0xf4, 0x4f4, 0x2f4, - 0x6f4, 0x1f4, 0x5f4, 0x3f4, 0x7f4, 0xc, 0x40c, - 0x20c, 0x60c, 0x10c, 0x50c, 0x30c, 0x70c, 0x8c, - 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, - 0x4c, 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, - 0x74c, 0xcc, 0x4cc, 0x2cc, 0x6cc, 0x1cc, 0x5cc, - 0x3cc, 0x7cc, 0x2c, 0x42c, 0x22c, 0x62c, 0x12c, - 0x52c, 0x32c, 0x72c, 0xac, 0x4ac, 0x2ac, 0x6ac, - 0x1ac, 0x5ac, 0x3ac, 0x7ac, 0x6c, 0x46c, 0x26c, - 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0xec, 0x4ec, - 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x1c, - 0x41c, 0x21c, 0x61c, 0x11c, 0x51c, 0x31c, 0x71c, - 0x9c, 0x49c, 0x29c, 0x69c, 0x19c, 0x59c, 0x39c, - 0x79c, 0x5c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, - 0x35c, 0x75c, 0xdc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, - 0x5dc, 0x3dc, 0x7dc, 0x3c, 0x43c, 0x23c, 0x63c, - 0x13c, 0x53c, 0x33c, 0x73c, 0xbc, 0x4bc, 0x2bc, - 0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x7c, 0x47c, - 0x27c, 0x67c, 0x17c, 0x57c, 0x37c, 0x77c, 0xfc, - 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc, 0x7fc, - 0x2, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, - 0x702, 0x82, 0x482, 0x282, 0x682, 0x182, 0x582, - 0x382, 0x782, 0x42, 0x442, 0x242, 0x642, 0x142, - 0x542, 0x342, 0x742, 0xc2, 0x4c2, 0x2c2, 0x6c2, - 0x1c2, 0x5c2, 0x3c2, 0x7c2, 0x22, 0x422, 0x222, - 0x622, 0x122, 0x522, 0x322, 0x722, 0xa2, 0x4a2, - 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x62, - 0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, - 0xe2, 0x4e2, 0x2e2, 0x6e2, 0x1e2, 0x5e2, 0x3e2, - 0x7e2, 0x12, 0x412, 0x212, 0x612, 0x112, 0x512, - 0x312, 0x712, 0x92, 0x492, 0x292, 0x692, 0x192, - 0x592, 0x392, 0x792, 0x52, 0x452, 0x252, 0x652, - 0x152, 0x552, 0x352, 0x752, 0xd2, 0x4d2, 0x2d2, - 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x32, 0x432, - 0x232, 0x632, 0x132, 0x532, 0x332, 0x732, 0xb2, - 0x4b2, 0x2b2, 0x6b2, 0x1b2, 0x5b2, 0x3b2, 0x7b2, - 0x72, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372, - 0x772, 0xf2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, - 0x3f2, 0x7f2, 0xa, 0x40a, 0x20a, 0x60a, 0x10a, - 0x50a, 0x30a, 0x70a, 0x8a, 0x48a, 0x28a, 0x68a, - 0x18a, 0x58a, 0x38a, 0x78a, 0x4a, 0x44a, 0x24a, - 0x64a, 0x14a, 0x54a, 0x34a, 0x74a, 0xca, 0x4ca, - 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca, 0x7ca, 0x2a, - 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, - 0xaa, 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, - 0x7aa, 0x6a, 0x46a, 0x26a, 0x66a, 0x16a, 0x56a, - 0x36a, 0x76a, 0xea, 0x4ea, 0x2ea, 0x6ea, 0x1ea, - 0x5ea, 0x3ea, 0x7ea, 0x1a, 0x41a, 0x21a, 0x61a, - 0x11a, 0x51a, 0x31a, 0x71a, 0x9a, 0x49a, 0x29a, - 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a, 0x45a, - 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0xda, - 0x4da, 0x2da, 0x6da, 0x1da, 0x5da, 0x3da, 0x7da, - 0x3a, 0x43a, 0x23a, 0x63a, 0x13a, 0x53a, 0x33a, - 0x73a, 0xba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, - 0x3ba, 0x7ba, 0x7a, 0x47a, 0x27a, 0x67a, 0x17a, - 0x57a, 0x37a, 0x77a, 0xfa, 0x4fa, 0x2fa, 0x6fa, - 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x6, 0x406, 0x206, - 0x606, 0x106, 0x506, 0x306, 0x706, 0x86, 0x486, - 0x286, 0x686, 0x186, 0x586, 0x386, 0x786, 0x46, - 0x446, 0x246, 0x646, 0x146, 0x546, 0x346, 0x746, - 0xc6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, - 0x7c6, 0x26, 0x426, 0x226, 0x626, 0x126, 0x526, - 0x326, 0x726, 0xa6, 0x4a6, 0x2a6, 0x6a6, 0x1a6, - 0x5a6, 0x3a6, 0x7a6, 0x66, 0x466, 0x266, 0x666, - 0x166, 0x566, 0x366, 0x766, 0xe6, 0x4e6, 0x2e6, - 0x6e6, 0x1e6, 0x5e6, 0x3e6, 0x7e6, 0x16, 0x416, - 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x96, - 0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, - 0x56, 0x456, 0x256, 0x656, 0x156, 0x556, 0x356, - 0x756, 0xd6, 0x4d6, 0x2d6, 0x6d6, 0x1d6, 0x5d6, - 0x3d6, 0x7d6, 0x36, 0x436, 0x236, 0x636, 0x136, - 0x536, 0x336, 0x736, 0xb6, 0x4b6, 0x2b6, 0x6b6, - 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x76, 0x476, 0x276, - 0x676, 0x176, 0x576, 0x376, 0x776, 0xf6, 0x4f6, - 0x2f6, 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0xe, - 0x40e, 0x20e, 0x60e, 0x10e, 0x50e, 0x30e, 0x70e, - 0x8e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e, - 0x78e, 0x4e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, - 0x34e, 0x74e, 0xce, 0x4ce, 0x2ce, 0x6ce, 0x1ce, - 0x5ce, 0x3ce, 0x7ce, 0x2e, 0x42e, 0x22e, 0x62e, - 0x12e, 0x52e, 0x32e, 0x72e, 0xae, 0x4ae, 0x2ae, - 0x6ae, 0x1ae, 0x5ae, 0x3ae, 0x7ae, 0x6e, 0x46e, - 0x26e, 0x66e, 0x16e, 0x56e, 0x36e, 0x76e, 0xee, - 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, - 0x1e, 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, - 0x71e, 0x9e, 0x49e, 0x29e, 0x69e, 0x19e, 0x59e, - 0x39e, 0x79e, 0x5e, 0x45e, 0x25e, 0x65e, 0x15e, - 0x55e, 0x35e, 0x75e, 0xde, 0x4de, 0x2de, 0x6de, - 0x1de, 0x5de, 0x3de, 0x7de, 0x3e, 0x43e, 0x23e, - 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0xbe, 0x4be, - 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x7e, - 0x47e, 0x27e, 0x67e, 0x17e, 0x57e, 0x37e, 0x77e, - 0xfe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, 0x5fe, 0x3fe, - 0x7fe, 0x1 -}; - - -/* -* @brief Floating-point Twiddle factors Table Generation -*/ - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* <pre>for(i = 0; i< N/; i++) -* { -* twiddleCoef[2*i]= cos(i * 2*PI/(float)N); -* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); -* } </pre> -* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_16[32] = { - 1.000000000f, 0.000000000f, - 0.923879533f, 0.382683432f, - 0.707106781f, 0.707106781f, - 0.382683432f, 0.923879533f, - 0.000000000f, 1.000000000f, - -0.382683432f, 0.923879533f, - -0.707106781f, 0.707106781f, - -0.923879533f, 0.382683432f, - -1.000000000f, 0.000000000f, - -0.923879533f, -0.382683432f, - -0.707106781f, -0.707106781f, - -0.382683432f, -0.923879533f, - -0.000000000f, -1.000000000f, - 0.382683432f, -0.923879533f, - 0.707106781f, -0.707106781f, - 0.923879533f, -0.382683432f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* <pre>for(i = 0; i< N/; i++) -* { -* twiddleCoef[2*i]= cos(i * 2*PI/(float)N); -* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); -* } </pre> -* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_32[64] = { - 1.000000000f, 0.000000000f, - 0.980785280f, 0.195090322f, - 0.923879533f, 0.382683432f, - 0.831469612f, 0.555570233f, - 0.707106781f, 0.707106781f, - 0.555570233f, 0.831469612f, - 0.382683432f, 0.923879533f, - 0.195090322f, 0.980785280f, - 0.000000000f, 1.000000000f, - -0.195090322f, 0.980785280f, - -0.382683432f, 0.923879533f, - -0.555570233f, 0.831469612f, - -0.707106781f, 0.707106781f, - -0.831469612f, 0.555570233f, - -0.923879533f, 0.382683432f, - -0.980785280f, 0.195090322f, - -1.000000000f, 0.000000000f, - -0.980785280f, -0.195090322f, - -0.923879533f, -0.382683432f, - -0.831469612f, -0.555570233f, - -0.707106781f, -0.707106781f, - -0.555570233f, -0.831469612f, - -0.382683432f, -0.923879533f, - -0.195090322f, -0.980785280f, - -0.000000000f, -1.000000000f, - 0.195090322f, -0.980785280f, - 0.382683432f, -0.923879533f, - 0.555570233f, -0.831469612f, - 0.707106781f, -0.707106781f, - 0.831469612f, -0.555570233f, - 0.923879533f, -0.382683432f, - 0.980785280f, -0.195090322f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* <pre>for(i = 0; i< N/; i++) -* { -* twiddleCoef[2*i]= cos(i * 2*PI/(float)N); -* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); -* } </pre> -* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_64[128] = { - 1.000000000f, 0.000000000f, - 0.995184727f, 0.098017140f, - 0.980785280f, 0.195090322f, - 0.956940336f, 0.290284677f, - 0.923879533f, 0.382683432f, - 0.881921264f, 0.471396737f, - 0.831469612f, 0.555570233f, - 0.773010453f, 0.634393284f, - 0.707106781f, 0.707106781f, - 0.634393284f, 0.773010453f, - 0.555570233f, 0.831469612f, - 0.471396737f, 0.881921264f, - 0.382683432f, 0.923879533f, - 0.290284677f, 0.956940336f, - 0.195090322f, 0.980785280f, - 0.098017140f, 0.995184727f, - 0.000000000f, 1.000000000f, - -0.098017140f, 0.995184727f, - -0.195090322f, 0.980785280f, - -0.290284677f, 0.956940336f, - -0.382683432f, 0.923879533f, - -0.471396737f, 0.881921264f, - -0.555570233f, 0.831469612f, - -0.634393284f, 0.773010453f, - -0.707106781f, 0.707106781f, - -0.773010453f, 0.634393284f, - -0.831469612f, 0.555570233f, - -0.881921264f, 0.471396737f, - -0.923879533f, 0.382683432f, - -0.956940336f, 0.290284677f, - -0.980785280f, 0.195090322f, - -0.995184727f, 0.098017140f, - -1.000000000f, 0.000000000f, - -0.995184727f, -0.098017140f, - -0.980785280f, -0.195090322f, - -0.956940336f, -0.290284677f, - -0.923879533f, -0.382683432f, - -0.881921264f, -0.471396737f, - -0.831469612f, -0.555570233f, - -0.773010453f, -0.634393284f, - -0.707106781f, -0.707106781f, - -0.634393284f, -0.773010453f, - -0.555570233f, -0.831469612f, - -0.471396737f, -0.881921264f, - -0.382683432f, -0.923879533f, - -0.290284677f, -0.956940336f, - -0.195090322f, -0.980785280f, - -0.098017140f, -0.995184727f, - -0.000000000f, -1.000000000f, - 0.098017140f, -0.995184727f, - 0.195090322f, -0.980785280f, - 0.290284677f, -0.956940336f, - 0.382683432f, -0.923879533f, - 0.471396737f, -0.881921264f, - 0.555570233f, -0.831469612f, - 0.634393284f, -0.773010453f, - 0.707106781f, -0.707106781f, - 0.773010453f, -0.634393284f, - 0.831469612f, -0.555570233f, - 0.881921264f, -0.471396737f, - 0.923879533f, -0.382683432f, - 0.956940336f, -0.290284677f, - 0.980785280f, -0.195090322f, - 0.995184727f, -0.098017140f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* <pre>for(i = 0; i< N/; i++) -* { -* twiddleCoef[2*i]= cos(i * 2*PI/(float)N); -* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); -* } </pre> -* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ - -const float32_t twiddleCoef_128[256] = { -1.000000000f , 0.000000000f , -0.998795456f , 0.049067674f , -0.995184727f , 0.098017140f , -0.989176510f , 0.146730474f , -0.980785280f , 0.195090322f , -0.970031253f , 0.242980180f , -0.956940336f , 0.290284677f , -0.941544065f , 0.336889853f , -0.923879533f , 0.382683432f , -0.903989293f , 0.427555093f , -0.881921264f , 0.471396737f , -0.857728610f , 0.514102744f , -0.831469612f , 0.555570233f , -0.803207531f , 0.595699304f , -0.773010453f , 0.634393284f , -0.740951125f , 0.671558955f , -0.707106781f , 0.707106781f , -0.671558955f , 0.740951125f , -0.634393284f , 0.773010453f , -0.595699304f , 0.803207531f , -0.555570233f , 0.831469612f , -0.514102744f , 0.857728610f , -0.471396737f , 0.881921264f , -0.427555093f , 0.903989293f , -0.382683432f , 0.923879533f , -0.336889853f , 0.941544065f , -0.290284677f , 0.956940336f , -0.242980180f , 0.970031253f , -0.195090322f , 0.980785280f , -0.146730474f , 0.989176510f , -0.098017140f , 0.995184727f , -0.049067674f , 0.998795456f , -0.000000000f , 1.000000000f , --0.049067674f , 0.998795456f , --0.098017140f , 0.995184727f , --0.146730474f , 0.989176510f , --0.195090322f , 0.980785280f , --0.242980180f , 0.970031253f , --0.290284677f , 0.956940336f , --0.336889853f , 0.941544065f , --0.382683432f , 0.923879533f , --0.427555093f , 0.903989293f , --0.471396737f , 0.881921264f , --0.514102744f , 0.857728610f , --0.555570233f , 0.831469612f , --0.595699304f , 0.803207531f , --0.634393284f , 0.773010453f , --0.671558955f , 0.740951125f , --0.707106781f , 0.707106781f , --0.740951125f , 0.671558955f , --0.773010453f , 0.634393284f , --0.803207531f , 0.595699304f , --0.831469612f , 0.555570233f , --0.857728610f , 0.514102744f , --0.881921264f , 0.471396737f , --0.903989293f , 0.427555093f , --0.923879533f , 0.382683432f , --0.941544065f , 0.336889853f , --0.956940336f , 0.290284677f , --0.970031253f , 0.242980180f , --0.980785280f , 0.195090322f , --0.989176510f , 0.146730474f , --0.995184727f , 0.098017140f , --0.998795456f , 0.049067674f , --1.000000000f , 0.000000000f , --0.998795456f , -0.049067674f , --0.995184727f , -0.098017140f , --0.989176510f , -0.146730474f , --0.980785280f , -0.195090322f , --0.970031253f , -0.242980180f , --0.956940336f , -0.290284677f , --0.941544065f , -0.336889853f , --0.923879533f , -0.382683432f , --0.903989293f , -0.427555093f , --0.881921264f , -0.471396737f , --0.857728610f , -0.514102744f , --0.831469612f , -0.555570233f , --0.803207531f , -0.595699304f , --0.773010453f , -0.634393284f , --0.740951125f , -0.671558955f , --0.707106781f , -0.707106781f , --0.671558955f , -0.740951125f , --0.634393284f , -0.773010453f , --0.595699304f , -0.803207531f , --0.555570233f , -0.831469612f , --0.514102744f , -0.857728610f , --0.471396737f , -0.881921264f , --0.427555093f , -0.903989293f , --0.382683432f , -0.923879533f , --0.336889853f , -0.941544065f , --0.290284677f , -0.956940336f , --0.242980180f , -0.970031253f , --0.195090322f , -0.980785280f , --0.146730474f , -0.989176510f , --0.098017140f , -0.995184727f , --0.049067674f , -0.998795456f , --0.000000000f , -1.000000000f , -0.049067674f , -0.998795456f , -0.098017140f , -0.995184727f , -0.146730474f , -0.989176510f , -0.195090322f , -0.980785280f , -0.242980180f , -0.970031253f , -0.290284677f , -0.956940336f , -0.336889853f , -0.941544065f , -0.382683432f , -0.923879533f , -0.427555093f , -0.903989293f , -0.471396737f , -0.881921264f , -0.514102744f , -0.857728610f , -0.555570233f , -0.831469612f , -0.595699304f , -0.803207531f , -0.634393284f , -0.773010453f , -0.671558955f , -0.740951125f , -0.707106781f , -0.707106781f , -0.740951125f , -0.671558955f , -0.773010453f , -0.634393284f , -0.803207531f , -0.595699304f , -0.831469612f , -0.555570233f , -0.857728610f , -0.514102744f , -0.881921264f , -0.471396737f , -0.903989293f , -0.427555093f , -0.923879533f , -0.382683432f , -0.941544065f , -0.336889853f , -0.956940336f , -0.290284677f , -0.970031253f , -0.242980180f , -0.980785280f , -0.195090322f , -0.989176510f , -0.146730474f , -0.995184727f , -0.098017140f , -0.998795456f , -0.049067674f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* <pre>for(i = 0; i< N/; i++) -* { -* twiddleCoef[2*i]= cos(i * 2*PI/(float)N); -* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); -* } </pre> -* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_256[512] = { - 1.000000000f, 0.000000000f, - 0.999698819f, 0.024541229f, - 0.998795456f, 0.049067674f, - 0.997290457f, 0.073564564f, - 0.995184727f, 0.098017140f, - 0.992479535f, 0.122410675f, - 0.989176510f, 0.146730474f, - 0.985277642f, 0.170961889f, - 0.980785280f, 0.195090322f, - 0.975702130f, 0.219101240f, - 0.970031253f, 0.242980180f, - 0.963776066f, 0.266712757f, - 0.956940336f, 0.290284677f, - 0.949528181f, 0.313681740f, - 0.941544065f, 0.336889853f, - 0.932992799f, 0.359895037f, - 0.923879533f, 0.382683432f, - 0.914209756f, 0.405241314f, - 0.903989293f, 0.427555093f, - 0.893224301f, 0.449611330f, - 0.881921264f, 0.471396737f, - 0.870086991f, 0.492898192f, - 0.857728610f, 0.514102744f, - 0.844853565f, 0.534997620f, - 0.831469612f, 0.555570233f, - 0.817584813f, 0.575808191f, - 0.803207531f, 0.595699304f, - 0.788346428f, 0.615231591f, - 0.773010453f, 0.634393284f, - 0.757208847f, 0.653172843f, - 0.740951125f, 0.671558955f, - 0.724247083f, 0.689540545f, - 0.707106781f, 0.707106781f, - 0.689540545f, 0.724247083f, - 0.671558955f, 0.740951125f, - 0.653172843f, 0.757208847f, - 0.634393284f, 0.773010453f, - 0.615231591f, 0.788346428f, - 0.595699304f, 0.803207531f, - 0.575808191f, 0.817584813f, - 0.555570233f, 0.831469612f, - 0.534997620f, 0.844853565f, - 0.514102744f, 0.857728610f, - 0.492898192f, 0.870086991f, - 0.471396737f, 0.881921264f, - 0.449611330f, 0.893224301f, - 0.427555093f, 0.903989293f, - 0.405241314f, 0.914209756f, - 0.382683432f, 0.923879533f, - 0.359895037f, 0.932992799f, - 0.336889853f, 0.941544065f, - 0.313681740f, 0.949528181f, - 0.290284677f, 0.956940336f, - 0.266712757f, 0.963776066f, - 0.242980180f, 0.970031253f, - 0.219101240f, 0.975702130f, - 0.195090322f, 0.980785280f, - 0.170961889f, 0.985277642f, - 0.146730474f, 0.989176510f, - 0.122410675f, 0.992479535f, - 0.098017140f, 0.995184727f, - 0.073564564f, 0.997290457f, - 0.049067674f, 0.998795456f, - 0.024541229f, 0.999698819f, - 0.000000000f, 1.000000000f, - -0.024541229f, 0.999698819f, - -0.049067674f, 0.998795456f, - -0.073564564f, 0.997290457f, - -0.098017140f, 0.995184727f, - -0.122410675f, 0.992479535f, - -0.146730474f, 0.989176510f, - -0.170961889f, 0.985277642f, - -0.195090322f, 0.980785280f, - -0.219101240f, 0.975702130f, - -0.242980180f, 0.970031253f, - -0.266712757f, 0.963776066f, - -0.290284677f, 0.956940336f, - -0.313681740f, 0.949528181f, - -0.336889853f, 0.941544065f, - -0.359895037f, 0.932992799f, - -0.382683432f, 0.923879533f, - -0.405241314f, 0.914209756f, - -0.427555093f, 0.903989293f, - -0.449611330f, 0.893224301f, - -0.471396737f, 0.881921264f, - -0.492898192f, 0.870086991f, - -0.514102744f, 0.857728610f, - -0.534997620f, 0.844853565f, - -0.555570233f, 0.831469612f, - -0.575808191f, 0.817584813f, - -0.595699304f, 0.803207531f, - -0.615231591f, 0.788346428f, - -0.634393284f, 0.773010453f, - -0.653172843f, 0.757208847f, - -0.671558955f, 0.740951125f, - -0.689540545f, 0.724247083f, - -0.707106781f, 0.707106781f, - -0.724247083f, 0.689540545f, - -0.740951125f, 0.671558955f, - -0.757208847f, 0.653172843f, - -0.773010453f, 0.634393284f, - -0.788346428f, 0.615231591f, - -0.803207531f, 0.595699304f, - -0.817584813f, 0.575808191f, - -0.831469612f, 0.555570233f, - -0.844853565f, 0.534997620f, - -0.857728610f, 0.514102744f, - -0.870086991f, 0.492898192f, - -0.881921264f, 0.471396737f, - -0.893224301f, 0.449611330f, - -0.903989293f, 0.427555093f, - -0.914209756f, 0.405241314f, - -0.923879533f, 0.382683432f, - -0.932992799f, 0.359895037f, - -0.941544065f, 0.336889853f, - -0.949528181f, 0.313681740f, - -0.956940336f, 0.290284677f, - -0.963776066f, 0.266712757f, - -0.970031253f, 0.242980180f, - -0.975702130f, 0.219101240f, - -0.980785280f, 0.195090322f, - -0.985277642f, 0.170961889f, - -0.989176510f, 0.146730474f, - -0.992479535f, 0.122410675f, - -0.995184727f, 0.098017140f, - -0.997290457f, 0.073564564f, - -0.998795456f, 0.049067674f, - -0.999698819f, 0.024541229f, - -1.000000000f, 0.000000000f, - -0.999698819f, -0.024541229f, - -0.998795456f, -0.049067674f, - -0.997290457f, -0.073564564f, - -0.995184727f, -0.098017140f, - -0.992479535f, -0.122410675f, - -0.989176510f, -0.146730474f, - -0.985277642f, -0.170961889f, - -0.980785280f, -0.195090322f, - -0.975702130f, -0.219101240f, - -0.970031253f, -0.242980180f, - -0.963776066f, -0.266712757f, - -0.956940336f, -0.290284677f, - -0.949528181f, -0.313681740f, - -0.941544065f, -0.336889853f, - -0.932992799f, -0.359895037f, - -0.923879533f, -0.382683432f, - -0.914209756f, -0.405241314f, - -0.903989293f, -0.427555093f, - -0.893224301f, -0.449611330f, - -0.881921264f, -0.471396737f, - -0.870086991f, -0.492898192f, - -0.857728610f, -0.514102744f, - -0.844853565f, -0.534997620f, - -0.831469612f, -0.555570233f, - -0.817584813f, -0.575808191f, - -0.803207531f, -0.595699304f, - -0.788346428f, -0.615231591f, - -0.773010453f, -0.634393284f, - -0.757208847f, -0.653172843f, - -0.740951125f, -0.671558955f, - -0.724247083f, -0.689540545f, - -0.707106781f, -0.707106781f, - -0.689540545f, -0.724247083f, - -0.671558955f, -0.740951125f, - -0.653172843f, -0.757208847f, - -0.634393284f, -0.773010453f, - -0.615231591f, -0.788346428f, - -0.595699304f, -0.803207531f, - -0.575808191f, -0.817584813f, - -0.555570233f, -0.831469612f, - -0.534997620f, -0.844853565f, - -0.514102744f, -0.857728610f, - -0.492898192f, -0.870086991f, - -0.471396737f, -0.881921264f, - -0.449611330f, -0.893224301f, - -0.427555093f, -0.903989293f, - -0.405241314f, -0.914209756f, - -0.382683432f, -0.923879533f, - -0.359895037f, -0.932992799f, - -0.336889853f, -0.941544065f, - -0.313681740f, -0.949528181f, - -0.290284677f, -0.956940336f, - -0.266712757f, -0.963776066f, - -0.242980180f, -0.970031253f, - -0.219101240f, -0.975702130f, - -0.195090322f, -0.980785280f, - -0.170961889f, -0.985277642f, - -0.146730474f, -0.989176510f, - -0.122410675f, -0.992479535f, - -0.098017140f, -0.995184727f, - -0.073564564f, -0.997290457f, - -0.049067674f, -0.998795456f, - -0.024541229f, -0.999698819f, - -0.000000000f, -1.000000000f, - 0.024541229f, -0.999698819f, - 0.049067674f, -0.998795456f, - 0.073564564f, -0.997290457f, - 0.098017140f, -0.995184727f, - 0.122410675f, -0.992479535f, - 0.146730474f, -0.989176510f, - 0.170961889f, -0.985277642f, - 0.195090322f, -0.980785280f, - 0.219101240f, -0.975702130f, - 0.242980180f, -0.970031253f, - 0.266712757f, -0.963776066f, - 0.290284677f, -0.956940336f, - 0.313681740f, -0.949528181f, - 0.336889853f, -0.941544065f, - 0.359895037f, -0.932992799f, - 0.382683432f, -0.923879533f, - 0.405241314f, -0.914209756f, - 0.427555093f, -0.903989293f, - 0.449611330f, -0.893224301f, - 0.471396737f, -0.881921264f, - 0.492898192f, -0.870086991f, - 0.514102744f, -0.857728610f, - 0.534997620f, -0.844853565f, - 0.555570233f, -0.831469612f, - 0.575808191f, -0.817584813f, - 0.595699304f, -0.803207531f, - 0.615231591f, -0.788346428f, - 0.634393284f, -0.773010453f, - 0.653172843f, -0.757208847f, - 0.671558955f, -0.740951125f, - 0.689540545f, -0.724247083f, - 0.707106781f, -0.707106781f, - 0.724247083f, -0.689540545f, - 0.740951125f, -0.671558955f, - 0.757208847f, -0.653172843f, - 0.773010453f, -0.634393284f, - 0.788346428f, -0.615231591f, - 0.803207531f, -0.595699304f, - 0.817584813f, -0.575808191f, - 0.831469612f, -0.555570233f, - 0.844853565f, -0.534997620f, - 0.857728610f, -0.514102744f, - 0.870086991f, -0.492898192f, - 0.881921264f, -0.471396737f, - 0.893224301f, -0.449611330f, - 0.903989293f, -0.427555093f, - 0.914209756f, -0.405241314f, - 0.923879533f, -0.382683432f, - 0.932992799f, -0.359895037f, - 0.941544065f, -0.336889853f, - 0.949528181f, -0.313681740f, - 0.956940336f, -0.290284677f, - 0.963776066f, -0.266712757f, - 0.970031253f, -0.242980180f, - 0.975702130f, -0.219101240f, - 0.980785280f, -0.195090322f, - 0.985277642f, -0.170961889f, - 0.989176510f, -0.146730474f, - 0.992479535f, -0.122410675f, - 0.995184727f, -0.098017140f, - 0.997290457f, -0.073564564f, - 0.998795456f, -0.049067674f, - 0.999698819f, -0.024541229f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* <pre>for(i = 0; i< N/; i++) -* { -* twiddleCoef[2*i]= cos(i * 2*PI/(float)N); -* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); -* } </pre> -* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_512[1024] = { - 1.000000000f, 0.000000000f, - 0.999924702f, 0.012271538f, - 0.999698819f, 0.024541229f, - 0.999322385f, 0.036807223f, - 0.998795456f, 0.049067674f, - 0.998118113f, 0.061320736f, - 0.997290457f, 0.073564564f, - 0.996312612f, 0.085797312f, - 0.995184727f, 0.098017140f, - 0.993906970f, 0.110222207f, - 0.992479535f, 0.122410675f, - 0.990902635f, 0.134580709f, - 0.989176510f, 0.146730474f, - 0.987301418f, 0.158858143f, - 0.985277642f, 0.170961889f, - 0.983105487f, 0.183039888f, - 0.980785280f, 0.195090322f, - 0.978317371f, 0.207111376f, - 0.975702130f, 0.219101240f, - 0.972939952f, 0.231058108f, - 0.970031253f, 0.242980180f, - 0.966976471f, 0.254865660f, - 0.963776066f, 0.266712757f, - 0.960430519f, 0.278519689f, - 0.956940336f, 0.290284677f, - 0.953306040f, 0.302005949f, - 0.949528181f, 0.313681740f, - 0.945607325f, 0.325310292f, - 0.941544065f, 0.336889853f, - 0.937339012f, 0.348418680f, - 0.932992799f, 0.359895037f, - 0.928506080f, 0.371317194f, - 0.923879533f, 0.382683432f, - 0.919113852f, 0.393992040f, - 0.914209756f, 0.405241314f, - 0.909167983f, 0.416429560f, - 0.903989293f, 0.427555093f, - 0.898674466f, 0.438616239f, - 0.893224301f, 0.449611330f, - 0.887639620f, 0.460538711f, - 0.881921264f, 0.471396737f, - 0.876070094f, 0.482183772f, - 0.870086991f, 0.492898192f, - 0.863972856f, 0.503538384f, - 0.857728610f, 0.514102744f, - 0.851355193f, 0.524589683f, - 0.844853565f, 0.534997620f, - 0.838224706f, 0.545324988f, - 0.831469612f, 0.555570233f, - 0.824589303f, 0.565731811f, - 0.817584813f, 0.575808191f, - 0.810457198f, 0.585797857f, - 0.803207531f, 0.595699304f, - 0.795836905f, 0.605511041f, - 0.788346428f, 0.615231591f, - 0.780737229f, 0.624859488f, - 0.773010453f, 0.634393284f, - 0.765167266f, 0.643831543f, - 0.757208847f, 0.653172843f, - 0.749136395f, 0.662415778f, - 0.740951125f, 0.671558955f, - 0.732654272f, 0.680600998f, - 0.724247083f, 0.689540545f, - 0.715730825f, 0.698376249f, - 0.707106781f, 0.707106781f, - 0.698376249f, 0.715730825f, - 0.689540545f, 0.724247083f, - 0.680600998f, 0.732654272f, - 0.671558955f, 0.740951125f, - 0.662415778f, 0.749136395f, - 0.653172843f, 0.757208847f, - 0.643831543f, 0.765167266f, - 0.634393284f, 0.773010453f, - 0.624859488f, 0.780737229f, - 0.615231591f, 0.788346428f, - 0.605511041f, 0.795836905f, - 0.595699304f, 0.803207531f, - 0.585797857f, 0.810457198f, - 0.575808191f, 0.817584813f, - 0.565731811f, 0.824589303f, - 0.555570233f, 0.831469612f, - 0.545324988f, 0.838224706f, - 0.534997620f, 0.844853565f, - 0.524589683f, 0.851355193f, - 0.514102744f, 0.857728610f, - 0.503538384f, 0.863972856f, - 0.492898192f, 0.870086991f, - 0.482183772f, 0.876070094f, - 0.471396737f, 0.881921264f, - 0.460538711f, 0.887639620f, - 0.449611330f, 0.893224301f, - 0.438616239f, 0.898674466f, - 0.427555093f, 0.903989293f, - 0.416429560f, 0.909167983f, - 0.405241314f, 0.914209756f, - 0.393992040f, 0.919113852f, - 0.382683432f, 0.923879533f, - 0.371317194f, 0.928506080f, - 0.359895037f, 0.932992799f, - 0.348418680f, 0.937339012f, - 0.336889853f, 0.941544065f, - 0.325310292f, 0.945607325f, - 0.313681740f, 0.949528181f, - 0.302005949f, 0.953306040f, - 0.290284677f, 0.956940336f, - 0.278519689f, 0.960430519f, - 0.266712757f, 0.963776066f, - 0.254865660f, 0.966976471f, - 0.242980180f, 0.970031253f, - 0.231058108f, 0.972939952f, - 0.219101240f, 0.975702130f, - 0.207111376f, 0.978317371f, - 0.195090322f, 0.980785280f, - 0.183039888f, 0.983105487f, - 0.170961889f, 0.985277642f, - 0.158858143f, 0.987301418f, - 0.146730474f, 0.989176510f, - 0.134580709f, 0.990902635f, - 0.122410675f, 0.992479535f, - 0.110222207f, 0.993906970f, - 0.098017140f, 0.995184727f, - 0.085797312f, 0.996312612f, - 0.073564564f, 0.997290457f, - 0.061320736f, 0.998118113f, - 0.049067674f, 0.998795456f, - 0.036807223f, 0.999322385f, - 0.024541229f, 0.999698819f, - 0.012271538f, 0.999924702f, - 0.000000000f, 1.000000000f, - -0.012271538f, 0.999924702f, - -0.024541229f, 0.999698819f, - -0.036807223f, 0.999322385f, - -0.049067674f, 0.998795456f, - -0.061320736f, 0.998118113f, - -0.073564564f, 0.997290457f, - -0.085797312f, 0.996312612f, - -0.098017140f, 0.995184727f, - -0.110222207f, 0.993906970f, - -0.122410675f, 0.992479535f, - -0.134580709f, 0.990902635f, - -0.146730474f, 0.989176510f, - -0.158858143f, 0.987301418f, - -0.170961889f, 0.985277642f, - -0.183039888f, 0.983105487f, - -0.195090322f, 0.980785280f, - -0.207111376f, 0.978317371f, - -0.219101240f, 0.975702130f, - -0.231058108f, 0.972939952f, - -0.242980180f, 0.970031253f, - -0.254865660f, 0.966976471f, - -0.266712757f, 0.963776066f, - -0.278519689f, 0.960430519f, - -0.290284677f, 0.956940336f, - -0.302005949f, 0.953306040f, - -0.313681740f, 0.949528181f, - -0.325310292f, 0.945607325f, - -0.336889853f, 0.941544065f, - -0.348418680f, 0.937339012f, - -0.359895037f, 0.932992799f, - -0.371317194f, 0.928506080f, - -0.382683432f, 0.923879533f, - -0.393992040f, 0.919113852f, - -0.405241314f, 0.914209756f, - -0.416429560f, 0.909167983f, - -0.427555093f, 0.903989293f, - -0.438616239f, 0.898674466f, - -0.449611330f, 0.893224301f, - -0.460538711f, 0.887639620f, - -0.471396737f, 0.881921264f, - -0.482183772f, 0.876070094f, - -0.492898192f, 0.870086991f, - -0.503538384f, 0.863972856f, - -0.514102744f, 0.857728610f, - -0.524589683f, 0.851355193f, - -0.534997620f, 0.844853565f, - -0.545324988f, 0.838224706f, - -0.555570233f, 0.831469612f, - -0.565731811f, 0.824589303f, - -0.575808191f, 0.817584813f, - -0.585797857f, 0.810457198f, - -0.595699304f, 0.803207531f, - -0.605511041f, 0.795836905f, - -0.615231591f, 0.788346428f, - -0.624859488f, 0.780737229f, - -0.634393284f, 0.773010453f, - -0.643831543f, 0.765167266f, - -0.653172843f, 0.757208847f, - -0.662415778f, 0.749136395f, - -0.671558955f, 0.740951125f, - -0.680600998f, 0.732654272f, - -0.689540545f, 0.724247083f, - -0.698376249f, 0.715730825f, - -0.707106781f, 0.707106781f, - -0.715730825f, 0.698376249f, - -0.724247083f, 0.689540545f, - -0.732654272f, 0.680600998f, - -0.740951125f, 0.671558955f, - -0.749136395f, 0.662415778f, - -0.757208847f, 0.653172843f, - -0.765167266f, 0.643831543f, - -0.773010453f, 0.634393284f, - -0.780737229f, 0.624859488f, - -0.788346428f, 0.615231591f, - -0.795836905f, 0.605511041f, - -0.803207531f, 0.595699304f, - -0.810457198f, 0.585797857f, - -0.817584813f, 0.575808191f, - -0.824589303f, 0.565731811f, - -0.831469612f, 0.555570233f, - -0.838224706f, 0.545324988f, - -0.844853565f, 0.534997620f, - -0.851355193f, 0.524589683f, - -0.857728610f, 0.514102744f, - -0.863972856f, 0.503538384f, - -0.870086991f, 0.492898192f, - -0.876070094f, 0.482183772f, - -0.881921264f, 0.471396737f, - -0.887639620f, 0.460538711f, - -0.893224301f, 0.449611330f, - -0.898674466f, 0.438616239f, - -0.903989293f, 0.427555093f, - -0.909167983f, 0.416429560f, - -0.914209756f, 0.405241314f, - -0.919113852f, 0.393992040f, - -0.923879533f, 0.382683432f, - -0.928506080f, 0.371317194f, - -0.932992799f, 0.359895037f, - -0.937339012f, 0.348418680f, - -0.941544065f, 0.336889853f, - -0.945607325f, 0.325310292f, - -0.949528181f, 0.313681740f, - -0.953306040f, 0.302005949f, - -0.956940336f, 0.290284677f, - -0.960430519f, 0.278519689f, - -0.963776066f, 0.266712757f, - -0.966976471f, 0.254865660f, - -0.970031253f, 0.242980180f, - -0.972939952f, 0.231058108f, - -0.975702130f, 0.219101240f, - -0.978317371f, 0.207111376f, - -0.980785280f, 0.195090322f, - -0.983105487f, 0.183039888f, - -0.985277642f, 0.170961889f, - -0.987301418f, 0.158858143f, - -0.989176510f, 0.146730474f, - -0.990902635f, 0.134580709f, - -0.992479535f, 0.122410675f, - -0.993906970f, 0.110222207f, - -0.995184727f, 0.098017140f, - -0.996312612f, 0.085797312f, - -0.997290457f, 0.073564564f, - -0.998118113f, 0.061320736f, - -0.998795456f, 0.049067674f, - -0.999322385f, 0.036807223f, - -0.999698819f, 0.024541229f, - -0.999924702f, 0.012271538f, - -1.000000000f, 0.000000000f, - -0.999924702f, -0.012271538f, - -0.999698819f, -0.024541229f, - -0.999322385f, -0.036807223f, - -0.998795456f, -0.049067674f, - -0.998118113f, -0.061320736f, - -0.997290457f, -0.073564564f, - -0.996312612f, -0.085797312f, - -0.995184727f, -0.098017140f, - -0.993906970f, -0.110222207f, - -0.992479535f, -0.122410675f, - -0.990902635f, -0.134580709f, - -0.989176510f, -0.146730474f, - -0.987301418f, -0.158858143f, - -0.985277642f, -0.170961889f, - -0.983105487f, -0.183039888f, - -0.980785280f, -0.195090322f, - -0.978317371f, -0.207111376f, - -0.975702130f, -0.219101240f, - -0.972939952f, -0.231058108f, - -0.970031253f, -0.242980180f, - -0.966976471f, -0.254865660f, - -0.963776066f, -0.266712757f, - -0.960430519f, -0.278519689f, - -0.956940336f, -0.290284677f, - -0.953306040f, -0.302005949f, - -0.949528181f, -0.313681740f, - -0.945607325f, -0.325310292f, - -0.941544065f, -0.336889853f, - -0.937339012f, -0.348418680f, - -0.932992799f, -0.359895037f, - -0.928506080f, -0.371317194f, - -0.923879533f, -0.382683432f, - -0.919113852f, -0.393992040f, - -0.914209756f, -0.405241314f, - -0.909167983f, -0.416429560f, - -0.903989293f, -0.427555093f, - -0.898674466f, -0.438616239f, - -0.893224301f, -0.449611330f, - -0.887639620f, -0.460538711f, - -0.881921264f, -0.471396737f, - -0.876070094f, -0.482183772f, - -0.870086991f, -0.492898192f, - -0.863972856f, -0.503538384f, - -0.857728610f, -0.514102744f, - -0.851355193f, -0.524589683f, - -0.844853565f, -0.534997620f, - -0.838224706f, -0.545324988f, - -0.831469612f, -0.555570233f, - -0.824589303f, -0.565731811f, - -0.817584813f, -0.575808191f, - -0.810457198f, -0.585797857f, - -0.803207531f, -0.595699304f, - -0.795836905f, -0.605511041f, - -0.788346428f, -0.615231591f, - -0.780737229f, -0.624859488f, - -0.773010453f, -0.634393284f, - -0.765167266f, -0.643831543f, - -0.757208847f, -0.653172843f, - -0.749136395f, -0.662415778f, - -0.740951125f, -0.671558955f, - -0.732654272f, -0.680600998f, - -0.724247083f, -0.689540545f, - -0.715730825f, -0.698376249f, - -0.707106781f, -0.707106781f, - -0.698376249f, -0.715730825f, - -0.689540545f, -0.724247083f, - -0.680600998f, -0.732654272f, - -0.671558955f, -0.740951125f, - -0.662415778f, -0.749136395f, - -0.653172843f, -0.757208847f, - -0.643831543f, -0.765167266f, - -0.634393284f, -0.773010453f, - -0.624859488f, -0.780737229f, - -0.615231591f, -0.788346428f, - -0.605511041f, -0.795836905f, - -0.595699304f, -0.803207531f, - -0.585797857f, -0.810457198f, - -0.575808191f, -0.817584813f, - -0.565731811f, -0.824589303f, - -0.555570233f, -0.831469612f, - -0.545324988f, -0.838224706f, - -0.534997620f, -0.844853565f, - -0.524589683f, -0.851355193f, - -0.514102744f, -0.857728610f, - -0.503538384f, -0.863972856f, - -0.492898192f, -0.870086991f, - -0.482183772f, -0.876070094f, - -0.471396737f, -0.881921264f, - -0.460538711f, -0.887639620f, - -0.449611330f, -0.893224301f, - -0.438616239f, -0.898674466f, - -0.427555093f, -0.903989293f, - -0.416429560f, -0.909167983f, - -0.405241314f, -0.914209756f, - -0.393992040f, -0.919113852f, - -0.382683432f, -0.923879533f, - -0.371317194f, -0.928506080f, - -0.359895037f, -0.932992799f, - -0.348418680f, -0.937339012f, - -0.336889853f, -0.941544065f, - -0.325310292f, -0.945607325f, - -0.313681740f, -0.949528181f, - -0.302005949f, -0.953306040f, - -0.290284677f, -0.956940336f, - -0.278519689f, -0.960430519f, - -0.266712757f, -0.963776066f, - -0.254865660f, -0.966976471f, - -0.242980180f, -0.970031253f, - -0.231058108f, -0.972939952f, - -0.219101240f, -0.975702130f, - -0.207111376f, -0.978317371f, - -0.195090322f, -0.980785280f, - -0.183039888f, -0.983105487f, - -0.170961889f, -0.985277642f, - -0.158858143f, -0.987301418f, - -0.146730474f, -0.989176510f, - -0.134580709f, -0.990902635f, - -0.122410675f, -0.992479535f, - -0.110222207f, -0.993906970f, - -0.098017140f, -0.995184727f, - -0.085797312f, -0.996312612f, - -0.073564564f, -0.997290457f, - -0.061320736f, -0.998118113f, - -0.049067674f, -0.998795456f, - -0.036807223f, -0.999322385f, - -0.024541229f, -0.999698819f, - -0.012271538f, -0.999924702f, - -0.000000000f, -1.000000000f, - 0.012271538f, -0.999924702f, - 0.024541229f, -0.999698819f, - 0.036807223f, -0.999322385f, - 0.049067674f, -0.998795456f, - 0.061320736f, -0.998118113f, - 0.073564564f, -0.997290457f, - 0.085797312f, -0.996312612f, - 0.098017140f, -0.995184727f, - 0.110222207f, -0.993906970f, - 0.122410675f, -0.992479535f, - 0.134580709f, -0.990902635f, - 0.146730474f, -0.989176510f, - 0.158858143f, -0.987301418f, - 0.170961889f, -0.985277642f, - 0.183039888f, -0.983105487f, - 0.195090322f, -0.980785280f, - 0.207111376f, -0.978317371f, - 0.219101240f, -0.975702130f, - 0.231058108f, -0.972939952f, - 0.242980180f, -0.970031253f, - 0.254865660f, -0.966976471f, - 0.266712757f, -0.963776066f, - 0.278519689f, -0.960430519f, - 0.290284677f, -0.956940336f, - 0.302005949f, -0.953306040f, - 0.313681740f, -0.949528181f, - 0.325310292f, -0.945607325f, - 0.336889853f, -0.941544065f, - 0.348418680f, -0.937339012f, - 0.359895037f, -0.932992799f, - 0.371317194f, -0.928506080f, - 0.382683432f, -0.923879533f, - 0.393992040f, -0.919113852f, - 0.405241314f, -0.914209756f, - 0.416429560f, -0.909167983f, - 0.427555093f, -0.903989293f, - 0.438616239f, -0.898674466f, - 0.449611330f, -0.893224301f, - 0.460538711f, -0.887639620f, - 0.471396737f, -0.881921264f, - 0.482183772f, -0.876070094f, - 0.492898192f, -0.870086991f, - 0.503538384f, -0.863972856f, - 0.514102744f, -0.857728610f, - 0.524589683f, -0.851355193f, - 0.534997620f, -0.844853565f, - 0.545324988f, -0.838224706f, - 0.555570233f, -0.831469612f, - 0.565731811f, -0.824589303f, - 0.575808191f, -0.817584813f, - 0.585797857f, -0.810457198f, - 0.595699304f, -0.803207531f, - 0.605511041f, -0.795836905f, - 0.615231591f, -0.788346428f, - 0.624859488f, -0.780737229f, - 0.634393284f, -0.773010453f, - 0.643831543f, -0.765167266f, - 0.653172843f, -0.757208847f, - 0.662415778f, -0.749136395f, - 0.671558955f, -0.740951125f, - 0.680600998f, -0.732654272f, - 0.689540545f, -0.724247083f, - 0.698376249f, -0.715730825f, - 0.707106781f, -0.707106781f, - 0.715730825f, -0.698376249f, - 0.724247083f, -0.689540545f, - 0.732654272f, -0.680600998f, - 0.740951125f, -0.671558955f, - 0.749136395f, -0.662415778f, - 0.757208847f, -0.653172843f, - 0.765167266f, -0.643831543f, - 0.773010453f, -0.634393284f, - 0.780737229f, -0.624859488f, - 0.788346428f, -0.615231591f, - 0.795836905f, -0.605511041f, - 0.803207531f, -0.595699304f, - 0.810457198f, -0.585797857f, - 0.817584813f, -0.575808191f, - 0.824589303f, -0.565731811f, - 0.831469612f, -0.555570233f, - 0.838224706f, -0.545324988f, - 0.844853565f, -0.534997620f, - 0.851355193f, -0.524589683f, - 0.857728610f, -0.514102744f, - 0.863972856f, -0.503538384f, - 0.870086991f, -0.492898192f, - 0.876070094f, -0.482183772f, - 0.881921264f, -0.471396737f, - 0.887639620f, -0.460538711f, - 0.893224301f, -0.449611330f, - 0.898674466f, -0.438616239f, - 0.903989293f, -0.427555093f, - 0.909167983f, -0.416429560f, - 0.914209756f, -0.405241314f, - 0.919113852f, -0.393992040f, - 0.923879533f, -0.382683432f, - 0.928506080f, -0.371317194f, - 0.932992799f, -0.359895037f, - 0.937339012f, -0.348418680f, - 0.941544065f, -0.336889853f, - 0.945607325f, -0.325310292f, - 0.949528181f, -0.313681740f, - 0.953306040f, -0.302005949f, - 0.956940336f, -0.290284677f, - 0.960430519f, -0.278519689f, - 0.963776066f, -0.266712757f, - 0.966976471f, -0.254865660f, - 0.970031253f, -0.242980180f, - 0.972939952f, -0.231058108f, - 0.975702130f, -0.219101240f, - 0.978317371f, -0.207111376f, - 0.980785280f, -0.195090322f, - 0.983105487f, -0.183039888f, - 0.985277642f, -0.170961889f, - 0.987301418f, -0.158858143f, - 0.989176510f, -0.146730474f, - 0.990902635f, -0.134580709f, - 0.992479535f, -0.122410675f, - 0.993906970f, -0.110222207f, - 0.995184727f, -0.098017140f, - 0.996312612f, -0.085797312f, - 0.997290457f, -0.073564564f, - 0.998118113f, -0.061320736f, - 0.998795456f, -0.049067674f, - 0.999322385f, -0.036807223f, - 0.999698819f, -0.024541229f, - 0.999924702f, -0.012271538f -}; -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* <pre>for(i = 0; i< N/; i++) -* { -* twiddleCoef[2*i]= cos(i * 2*PI/(float)N); -* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); -* } </pre> -* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_1024[2048] = { -1.000000000f , 0.000000000f , -0.999981175f , 0.006135885f , -0.999924702f , 0.012271538f , -0.999830582f , 0.018406730f , -0.999698819f , 0.024541229f , -0.999529418f , 0.030674803f , -0.999322385f , 0.036807223f , -0.999077728f , 0.042938257f , -0.998795456f , 0.049067674f , -0.998475581f , 0.055195244f , -0.998118113f , 0.061320736f , -0.997723067f , 0.067443920f , -0.997290457f , 0.073564564f , -0.996820299f , 0.079682438f , -0.996312612f , 0.085797312f , -0.995767414f , 0.091908956f , -0.995184727f , 0.098017140f , -0.994564571f , 0.104121634f , -0.993906970f , 0.110222207f , -0.993211949f , 0.116318631f , -0.992479535f , 0.122410675f , -0.991709754f , 0.128498111f , -0.990902635f , 0.134580709f , -0.990058210f , 0.140658239f , -0.989176510f , 0.146730474f , -0.988257568f , 0.152797185f , -0.987301418f , 0.158858143f , -0.986308097f , 0.164913120f , -0.985277642f , 0.170961889f , -0.984210092f , 0.177004220f , -0.983105487f , 0.183039888f , -0.981963869f , 0.189068664f , -0.980785280f , 0.195090322f , -0.979569766f , 0.201104635f , -0.978317371f , 0.207111376f , -0.977028143f , 0.213110320f , -0.975702130f , 0.219101240f , -0.974339383f , 0.225083911f , -0.972939952f , 0.231058108f , -0.971503891f , 0.237023606f , -0.970031253f , 0.242980180f , -0.968522094f , 0.248927606f , -0.966976471f , 0.254865660f , -0.965394442f , 0.260794118f , -0.963776066f , 0.266712757f , -0.962121404f , 0.272621355f , -0.960430519f , 0.278519689f , -0.958703475f , 0.284407537f , -0.956940336f , 0.290284677f , -0.955141168f , 0.296150888f , -0.953306040f , 0.302005949f , -0.951435021f , 0.307849640f , -0.949528181f , 0.313681740f , -0.947585591f , 0.319502031f , -0.945607325f , 0.325310292f , -0.943593458f , 0.331106306f , -0.941544065f , 0.336889853f , -0.939459224f , 0.342660717f , -0.937339012f , 0.348418680f , -0.935183510f , 0.354163525f , -0.932992799f , 0.359895037f , -0.930766961f , 0.365612998f , -0.928506080f , 0.371317194f , -0.926210242f , 0.377007410f , -0.923879533f , 0.382683432f , -0.921514039f , 0.388345047f , -0.919113852f , 0.393992040f , -0.916679060f , 0.399624200f , -0.914209756f , 0.405241314f , -0.911706032f , 0.410843171f , -0.909167983f , 0.416429560f , -0.906595705f , 0.422000271f , -0.903989293f , 0.427555093f , -0.901348847f , 0.433093819f , -0.898674466f , 0.438616239f , -0.895966250f , 0.444122145f , -0.893224301f , 0.449611330f , -0.890448723f , 0.455083587f , -0.887639620f , 0.460538711f , -0.884797098f , 0.465976496f , -0.881921264f , 0.471396737f , -0.879012226f , 0.476799230f , -0.876070094f , 0.482183772f , -0.873094978f , 0.487550160f , -0.870086991f , 0.492898192f , -0.867046246f , 0.498227667f , -0.863972856f , 0.503538384f , -0.860866939f , 0.508830143f , -0.857728610f , 0.514102744f , -0.854557988f , 0.519355990f , -0.851355193f , 0.524589683f , -0.848120345f , 0.529803625f , -0.844853565f , 0.534997620f , -0.841554977f , 0.540171473f , -0.838224706f , 0.545324988f , -0.834862875f , 0.550457973f , -0.831469612f , 0.555570233f , -0.828045045f , 0.560661576f , -0.824589303f , 0.565731811f , -0.821102515f , 0.570780746f , -0.817584813f , 0.575808191f , -0.814036330f , 0.580813958f , -0.810457198f , 0.585797857f , -0.806847554f , 0.590759702f , -0.803207531f , 0.595699304f , -0.799537269f , 0.600616479f , -0.795836905f , 0.605511041f , -0.792106577f , 0.610382806f , -0.788346428f , 0.615231591f , -0.784556597f , 0.620057212f , -0.780737229f , 0.624859488f , -0.776888466f , 0.629638239f , -0.773010453f , 0.634393284f , -0.769103338f , 0.639124445f , -0.765167266f , 0.643831543f , -0.761202385f , 0.648514401f , -0.757208847f , 0.653172843f , -0.753186799f , 0.657806693f , -0.749136395f , 0.662415778f , -0.745057785f , 0.666999922f , -0.740951125f , 0.671558955f , -0.736816569f , 0.676092704f , -0.732654272f , 0.680600998f , -0.728464390f , 0.685083668f , -0.724247083f , 0.689540545f , -0.720002508f , 0.693971461f , -0.715730825f , 0.698376249f , -0.711432196f , 0.702754744f , -0.707106781f , 0.707106781f , -0.702754744f , 0.711432196f , -0.698376249f , 0.715730825f , -0.693971461f , 0.720002508f , -0.689540545f , 0.724247083f , -0.685083668f , 0.728464390f , -0.680600998f , 0.732654272f , -0.676092704f , 0.736816569f , -0.671558955f , 0.740951125f , -0.666999922f , 0.745057785f , -0.662415778f , 0.749136395f , -0.657806693f , 0.753186799f , -0.653172843f , 0.757208847f , -0.648514401f , 0.761202385f , -0.643831543f , 0.765167266f , -0.639124445f , 0.769103338f , -0.634393284f , 0.773010453f , -0.629638239f , 0.776888466f , -0.624859488f , 0.780737229f , -0.620057212f , 0.784556597f , -0.615231591f , 0.788346428f , -0.610382806f , 0.792106577f , -0.605511041f , 0.795836905f , -0.600616479f , 0.799537269f , -0.595699304f , 0.803207531f , -0.590759702f , 0.806847554f , -0.585797857f , 0.810457198f , -0.580813958f , 0.814036330f , -0.575808191f , 0.817584813f , -0.570780746f , 0.821102515f , -0.565731811f , 0.824589303f , -0.560661576f , 0.828045045f , -0.555570233f , 0.831469612f , -0.550457973f , 0.834862875f , -0.545324988f , 0.838224706f , -0.540171473f , 0.841554977f , -0.534997620f , 0.844853565f , -0.529803625f , 0.848120345f , -0.524589683f , 0.851355193f , -0.519355990f , 0.854557988f , -0.514102744f , 0.857728610f , -0.508830143f , 0.860866939f , -0.503538384f , 0.863972856f , -0.498227667f , 0.867046246f , -0.492898192f , 0.870086991f , -0.487550160f , 0.873094978f , -0.482183772f , 0.876070094f , -0.476799230f , 0.879012226f , -0.471396737f , 0.881921264f , -0.465976496f , 0.884797098f , -0.460538711f , 0.887639620f , -0.455083587f , 0.890448723f , -0.449611330f , 0.893224301f , -0.444122145f , 0.895966250f , -0.438616239f , 0.898674466f , -0.433093819f , 0.901348847f , -0.427555093f , 0.903989293f , -0.422000271f , 0.906595705f , -0.416429560f , 0.909167983f , -0.410843171f , 0.911706032f , -0.405241314f , 0.914209756f , -0.399624200f , 0.916679060f , -0.393992040f , 0.919113852f , -0.388345047f , 0.921514039f , -0.382683432f , 0.923879533f , -0.377007410f , 0.926210242f , -0.371317194f , 0.928506080f , -0.365612998f , 0.930766961f , -0.359895037f , 0.932992799f , -0.354163525f , 0.935183510f , -0.348418680f , 0.937339012f , -0.342660717f , 0.939459224f , -0.336889853f , 0.941544065f , -0.331106306f , 0.943593458f , -0.325310292f , 0.945607325f , -0.319502031f , 0.947585591f , -0.313681740f , 0.949528181f , -0.307849640f , 0.951435021f , -0.302005949f , 0.953306040f , -0.296150888f , 0.955141168f , -0.290284677f , 0.956940336f , -0.284407537f , 0.958703475f , -0.278519689f , 0.960430519f , -0.272621355f , 0.962121404f , -0.266712757f , 0.963776066f , -0.260794118f , 0.965394442f , -0.254865660f , 0.966976471f , -0.248927606f , 0.968522094f , -0.242980180f , 0.970031253f , -0.237023606f , 0.971503891f , -0.231058108f , 0.972939952f , -0.225083911f , 0.974339383f , -0.219101240f , 0.975702130f , -0.213110320f , 0.977028143f , -0.207111376f , 0.978317371f , -0.201104635f , 0.979569766f , -0.195090322f , 0.980785280f , -0.189068664f , 0.981963869f , -0.183039888f , 0.983105487f , -0.177004220f , 0.984210092f , -0.170961889f , 0.985277642f , -0.164913120f , 0.986308097f , -0.158858143f , 0.987301418f , -0.152797185f , 0.988257568f , -0.146730474f , 0.989176510f , -0.140658239f , 0.990058210f , -0.134580709f , 0.990902635f , -0.128498111f , 0.991709754f , -0.122410675f , 0.992479535f , -0.116318631f , 0.993211949f , -0.110222207f , 0.993906970f , -0.104121634f , 0.994564571f , -0.098017140f , 0.995184727f , -0.091908956f , 0.995767414f , -0.085797312f , 0.996312612f , -0.079682438f , 0.996820299f , -0.073564564f , 0.997290457f , -0.067443920f , 0.997723067f , -0.061320736f , 0.998118113f , -0.055195244f , 0.998475581f , -0.049067674f , 0.998795456f , -0.042938257f , 0.999077728f , -0.036807223f , 0.999322385f , -0.030674803f , 0.999529418f , -0.024541229f , 0.999698819f , -0.018406730f , 0.999830582f , -0.012271538f , 0.999924702f , -0.006135885f , 0.999981175f , -0.000000000f , 1.000000000f , --0.006135885f , 0.999981175f , --0.012271538f , 0.999924702f , --0.018406730f , 0.999830582f , --0.024541229f , 0.999698819f , --0.030674803f , 0.999529418f , --0.036807223f , 0.999322385f , --0.042938257f , 0.999077728f , --0.049067674f , 0.998795456f , --0.055195244f , 0.998475581f , --0.061320736f , 0.998118113f , --0.067443920f , 0.997723067f , --0.073564564f , 0.997290457f , --0.079682438f , 0.996820299f , --0.085797312f , 0.996312612f , --0.091908956f , 0.995767414f , --0.098017140f , 0.995184727f , --0.104121634f , 0.994564571f , --0.110222207f , 0.993906970f , --0.116318631f , 0.993211949f , --0.122410675f , 0.992479535f , --0.128498111f , 0.991709754f , --0.134580709f , 0.990902635f , --0.140658239f , 0.990058210f , --0.146730474f , 0.989176510f , --0.152797185f , 0.988257568f , --0.158858143f , 0.987301418f , --0.164913120f , 0.986308097f , --0.170961889f , 0.985277642f , --0.177004220f , 0.984210092f , --0.183039888f , 0.983105487f , --0.189068664f , 0.981963869f , --0.195090322f , 0.980785280f , --0.201104635f , 0.979569766f , --0.207111376f , 0.978317371f , --0.213110320f , 0.977028143f , --0.219101240f , 0.975702130f , --0.225083911f , 0.974339383f , --0.231058108f , 0.972939952f , --0.237023606f , 0.971503891f , --0.242980180f , 0.970031253f , --0.248927606f , 0.968522094f , --0.254865660f , 0.966976471f , --0.260794118f , 0.965394442f , --0.266712757f , 0.963776066f , --0.272621355f , 0.962121404f , --0.278519689f , 0.960430519f , --0.284407537f , 0.958703475f , --0.290284677f , 0.956940336f , --0.296150888f , 0.955141168f , --0.302005949f , 0.953306040f , --0.307849640f , 0.951435021f , --0.313681740f , 0.949528181f , --0.319502031f , 0.947585591f , --0.325310292f , 0.945607325f , --0.331106306f , 0.943593458f , --0.336889853f , 0.941544065f , --0.342660717f , 0.939459224f , --0.348418680f , 0.937339012f , --0.354163525f , 0.935183510f , --0.359895037f , 0.932992799f , --0.365612998f , 0.930766961f , --0.371317194f , 0.928506080f , --0.377007410f , 0.926210242f , --0.382683432f , 0.923879533f , --0.388345047f , 0.921514039f , --0.393992040f , 0.919113852f , --0.399624200f , 0.916679060f , --0.405241314f , 0.914209756f , --0.410843171f , 0.911706032f , --0.416429560f , 0.909167983f , --0.422000271f , 0.906595705f , --0.427555093f , 0.903989293f , --0.433093819f , 0.901348847f , --0.438616239f , 0.898674466f , --0.444122145f , 0.895966250f , --0.449611330f , 0.893224301f , --0.455083587f , 0.890448723f , --0.460538711f , 0.887639620f , --0.465976496f , 0.884797098f , --0.471396737f , 0.881921264f , --0.476799230f , 0.879012226f , --0.482183772f , 0.876070094f , --0.487550160f , 0.873094978f , --0.492898192f , 0.870086991f , --0.498227667f , 0.867046246f , --0.503538384f , 0.863972856f , --0.508830143f , 0.860866939f , --0.514102744f , 0.857728610f , --0.519355990f , 0.854557988f , --0.524589683f , 0.851355193f , --0.529803625f , 0.848120345f , --0.534997620f , 0.844853565f , --0.540171473f , 0.841554977f , --0.545324988f , 0.838224706f , --0.550457973f , 0.834862875f , --0.555570233f , 0.831469612f , --0.560661576f , 0.828045045f , --0.565731811f , 0.824589303f , --0.570780746f , 0.821102515f , --0.575808191f , 0.817584813f , --0.580813958f , 0.814036330f , --0.585797857f , 0.810457198f , --0.590759702f , 0.806847554f , --0.595699304f , 0.803207531f , --0.600616479f , 0.799537269f , --0.605511041f , 0.795836905f , --0.610382806f , 0.792106577f , --0.615231591f , 0.788346428f , --0.620057212f , 0.784556597f , --0.624859488f , 0.780737229f , --0.629638239f , 0.776888466f , --0.634393284f , 0.773010453f , --0.639124445f , 0.769103338f , --0.643831543f , 0.765167266f , --0.648514401f , 0.761202385f , --0.653172843f , 0.757208847f , --0.657806693f , 0.753186799f , --0.662415778f , 0.749136395f , --0.666999922f , 0.745057785f , --0.671558955f , 0.740951125f , --0.676092704f , 0.736816569f , --0.680600998f , 0.732654272f , --0.685083668f , 0.728464390f , --0.689540545f , 0.724247083f , --0.693971461f , 0.720002508f , --0.698376249f , 0.715730825f , --0.702754744f , 0.711432196f , --0.707106781f , 0.707106781f , --0.711432196f , 0.702754744f , --0.715730825f , 0.698376249f , --0.720002508f , 0.693971461f , --0.724247083f , 0.689540545f , --0.728464390f , 0.685083668f , --0.732654272f , 0.680600998f , --0.736816569f , 0.676092704f , --0.740951125f , 0.671558955f , --0.745057785f , 0.666999922f , --0.749136395f , 0.662415778f , --0.753186799f , 0.657806693f , --0.757208847f , 0.653172843f , --0.761202385f , 0.648514401f , --0.765167266f , 0.643831543f , --0.769103338f , 0.639124445f , --0.773010453f , 0.634393284f , --0.776888466f , 0.629638239f , --0.780737229f , 0.624859488f , --0.784556597f , 0.620057212f , --0.788346428f , 0.615231591f , --0.792106577f , 0.610382806f , --0.795836905f , 0.605511041f , --0.799537269f , 0.600616479f , --0.803207531f , 0.595699304f , --0.806847554f , 0.590759702f , --0.810457198f , 0.585797857f , --0.814036330f , 0.580813958f , --0.817584813f , 0.575808191f , --0.821102515f , 0.570780746f , --0.824589303f , 0.565731811f , --0.828045045f , 0.560661576f , --0.831469612f , 0.555570233f , --0.834862875f , 0.550457973f , --0.838224706f , 0.545324988f , --0.841554977f , 0.540171473f , --0.844853565f , 0.534997620f , --0.848120345f , 0.529803625f , --0.851355193f , 0.524589683f , --0.854557988f , 0.519355990f , --0.857728610f , 0.514102744f , --0.860866939f , 0.508830143f , --0.863972856f , 0.503538384f , --0.867046246f , 0.498227667f , --0.870086991f , 0.492898192f , --0.873094978f , 0.487550160f , --0.876070094f , 0.482183772f , --0.879012226f , 0.476799230f , --0.881921264f , 0.471396737f , --0.884797098f , 0.465976496f , --0.887639620f , 0.460538711f , --0.890448723f , 0.455083587f , --0.893224301f , 0.449611330f , --0.895966250f , 0.444122145f , --0.898674466f , 0.438616239f , --0.901348847f , 0.433093819f , --0.903989293f , 0.427555093f , --0.906595705f , 0.422000271f , --0.909167983f , 0.416429560f , --0.911706032f , 0.410843171f , --0.914209756f , 0.405241314f , --0.916679060f , 0.399624200f , --0.919113852f , 0.393992040f , --0.921514039f , 0.388345047f , --0.923879533f , 0.382683432f , --0.926210242f , 0.377007410f , --0.928506080f , 0.371317194f , --0.930766961f , 0.365612998f , --0.932992799f , 0.359895037f , --0.935183510f , 0.354163525f , --0.937339012f , 0.348418680f , --0.939459224f , 0.342660717f , --0.941544065f , 0.336889853f , --0.943593458f , 0.331106306f , --0.945607325f , 0.325310292f , --0.947585591f , 0.319502031f , --0.949528181f , 0.313681740f , --0.951435021f , 0.307849640f , --0.953306040f , 0.302005949f , --0.955141168f , 0.296150888f , --0.956940336f , 0.290284677f , --0.958703475f , 0.284407537f , --0.960430519f , 0.278519689f , --0.962121404f , 0.272621355f , --0.963776066f , 0.266712757f , --0.965394442f , 0.260794118f , --0.966976471f , 0.254865660f , --0.968522094f , 0.248927606f , --0.970031253f , 0.242980180f , --0.971503891f , 0.237023606f , --0.972939952f , 0.231058108f , --0.974339383f , 0.225083911f , --0.975702130f , 0.219101240f , --0.977028143f , 0.213110320f , --0.978317371f , 0.207111376f , --0.979569766f , 0.201104635f , --0.980785280f , 0.195090322f , --0.981963869f , 0.189068664f , --0.983105487f , 0.183039888f , --0.984210092f , 0.177004220f , --0.985277642f , 0.170961889f , --0.986308097f , 0.164913120f , --0.987301418f , 0.158858143f , --0.988257568f , 0.152797185f , --0.989176510f , 0.146730474f , --0.990058210f , 0.140658239f , --0.990902635f , 0.134580709f , --0.991709754f , 0.128498111f , --0.992479535f , 0.122410675f , --0.993211949f , 0.116318631f , --0.993906970f , 0.110222207f , --0.994564571f , 0.104121634f , --0.995184727f , 0.098017140f , --0.995767414f , 0.091908956f , --0.996312612f , 0.085797312f , --0.996820299f , 0.079682438f , --0.997290457f , 0.073564564f , --0.997723067f , 0.067443920f , --0.998118113f , 0.061320736f , --0.998475581f , 0.055195244f , --0.998795456f , 0.049067674f , --0.999077728f , 0.042938257f , --0.999322385f , 0.036807223f , --0.999529418f , 0.030674803f , --0.999698819f , 0.024541229f , --0.999830582f , 0.018406730f , --0.999924702f , 0.012271538f , --0.999981175f , 0.006135885f , --1.000000000f , 0.000000000f , --0.999981175f , -0.006135885f , --0.999924702f , -0.012271538f , --0.999830582f , -0.018406730f , --0.999698819f , -0.024541229f , --0.999529418f , -0.030674803f , --0.999322385f , -0.036807223f , --0.999077728f , -0.042938257f , --0.998795456f , -0.049067674f , --0.998475581f , -0.055195244f , --0.998118113f , -0.061320736f , --0.997723067f , -0.067443920f , --0.997290457f , -0.073564564f , --0.996820299f , -0.079682438f , --0.996312612f , -0.085797312f , --0.995767414f , -0.091908956f , --0.995184727f , -0.098017140f , --0.994564571f , -0.104121634f , --0.993906970f , -0.110222207f , --0.993211949f , -0.116318631f , --0.992479535f , -0.122410675f , --0.991709754f , -0.128498111f , --0.990902635f , -0.134580709f , --0.990058210f , -0.140658239f , --0.989176510f , -0.146730474f , --0.988257568f , -0.152797185f , --0.987301418f , -0.158858143f , --0.986308097f , -0.164913120f , --0.985277642f , -0.170961889f , --0.984210092f , -0.177004220f , --0.983105487f , -0.183039888f , --0.981963869f , -0.189068664f , --0.980785280f , -0.195090322f , --0.979569766f , -0.201104635f , --0.978317371f , -0.207111376f , --0.977028143f , -0.213110320f , --0.975702130f , -0.219101240f , --0.974339383f , -0.225083911f , --0.972939952f , -0.231058108f , --0.971503891f , -0.237023606f , --0.970031253f , -0.242980180f , --0.968522094f , -0.248927606f , --0.966976471f , -0.254865660f , --0.965394442f , -0.260794118f , --0.963776066f , -0.266712757f , --0.962121404f , -0.272621355f , --0.960430519f , -0.278519689f , --0.958703475f , -0.284407537f , --0.956940336f , -0.290284677f , --0.955141168f , -0.296150888f , --0.953306040f , -0.302005949f , --0.951435021f , -0.307849640f , --0.949528181f , -0.313681740f , --0.947585591f , -0.319502031f , --0.945607325f , -0.325310292f , --0.943593458f , -0.331106306f , --0.941544065f , -0.336889853f , --0.939459224f , -0.342660717f , --0.937339012f , -0.348418680f , --0.935183510f , -0.354163525f , --0.932992799f , -0.359895037f , --0.930766961f , -0.365612998f , --0.928506080f , -0.371317194f , --0.926210242f , -0.377007410f , --0.923879533f , -0.382683432f , --0.921514039f , -0.388345047f , --0.919113852f , -0.393992040f , --0.916679060f , -0.399624200f , --0.914209756f , -0.405241314f , --0.911706032f , -0.410843171f , --0.909167983f , -0.416429560f , --0.906595705f , -0.422000271f , --0.903989293f , -0.427555093f , --0.901348847f , -0.433093819f , --0.898674466f , -0.438616239f , --0.895966250f , -0.444122145f , --0.893224301f , -0.449611330f , --0.890448723f , -0.455083587f , --0.887639620f , -0.460538711f , --0.884797098f , -0.465976496f , --0.881921264f , -0.471396737f , --0.879012226f , -0.476799230f , --0.876070094f , -0.482183772f , --0.873094978f , -0.487550160f , --0.870086991f , -0.492898192f , --0.867046246f , -0.498227667f , --0.863972856f , -0.503538384f , --0.860866939f , -0.508830143f , --0.857728610f , -0.514102744f , --0.854557988f , -0.519355990f , --0.851355193f , -0.524589683f , --0.848120345f , -0.529803625f , --0.844853565f , -0.534997620f , --0.841554977f , -0.540171473f , --0.838224706f , -0.545324988f , --0.834862875f , -0.550457973f , --0.831469612f , -0.555570233f , --0.828045045f , -0.560661576f , --0.824589303f , -0.565731811f , --0.821102515f , -0.570780746f , --0.817584813f , -0.575808191f , --0.814036330f , -0.580813958f , --0.810457198f , -0.585797857f , --0.806847554f , -0.590759702f , --0.803207531f , -0.595699304f , --0.799537269f , -0.600616479f , --0.795836905f , -0.605511041f , --0.792106577f , -0.610382806f , --0.788346428f , -0.615231591f , --0.784556597f , -0.620057212f , --0.780737229f , -0.624859488f , --0.776888466f , -0.629638239f , --0.773010453f , -0.634393284f , --0.769103338f , -0.639124445f , --0.765167266f , -0.643831543f , --0.761202385f , -0.648514401f , --0.757208847f , -0.653172843f , --0.753186799f , -0.657806693f , --0.749136395f , -0.662415778f , --0.745057785f , -0.666999922f , --0.740951125f , -0.671558955f , --0.736816569f , -0.676092704f , --0.732654272f , -0.680600998f , --0.728464390f , -0.685083668f , --0.724247083f , -0.689540545f , --0.720002508f , -0.693971461f , --0.715730825f , -0.698376249f , --0.711432196f , -0.702754744f , --0.707106781f , -0.707106781f , --0.702754744f , -0.711432196f , --0.698376249f , -0.715730825f , --0.693971461f , -0.720002508f , --0.689540545f , -0.724247083f , --0.685083668f , -0.728464390f , --0.680600998f , -0.732654272f , --0.676092704f , -0.736816569f , --0.671558955f , -0.740951125f , --0.666999922f , -0.745057785f , --0.662415778f , -0.749136395f , --0.657806693f , -0.753186799f , --0.653172843f , -0.757208847f , --0.648514401f , -0.761202385f , --0.643831543f , -0.765167266f , --0.639124445f , -0.769103338f , --0.634393284f , -0.773010453f , --0.629638239f , -0.776888466f , --0.624859488f , -0.780737229f , --0.620057212f , -0.784556597f , --0.615231591f , -0.788346428f , --0.610382806f , -0.792106577f , --0.605511041f , -0.795836905f , --0.600616479f , -0.799537269f , --0.595699304f , -0.803207531f , --0.590759702f , -0.806847554f , --0.585797857f , -0.810457198f , --0.580813958f , -0.814036330f , --0.575808191f , -0.817584813f , --0.570780746f , -0.821102515f , --0.565731811f , -0.824589303f , --0.560661576f , -0.828045045f , --0.555570233f , -0.831469612f , --0.550457973f , -0.834862875f , --0.545324988f , -0.838224706f , --0.540171473f , -0.841554977f , --0.534997620f , -0.844853565f , --0.529803625f , -0.848120345f , --0.524589683f , -0.851355193f , --0.519355990f , -0.854557988f , --0.514102744f , -0.857728610f , --0.508830143f , -0.860866939f , --0.503538384f , -0.863972856f , --0.498227667f , -0.867046246f , --0.492898192f , -0.870086991f , --0.487550160f , -0.873094978f , --0.482183772f , -0.876070094f , --0.476799230f , -0.879012226f , --0.471396737f , -0.881921264f , --0.465976496f , -0.884797098f , --0.460538711f , -0.887639620f , --0.455083587f , -0.890448723f , --0.449611330f , -0.893224301f , --0.444122145f , -0.895966250f , --0.438616239f , -0.898674466f , --0.433093819f , -0.901348847f , --0.427555093f , -0.903989293f , --0.422000271f , -0.906595705f , --0.416429560f , -0.909167983f , --0.410843171f , -0.911706032f , --0.405241314f , -0.914209756f , --0.399624200f , -0.916679060f , --0.393992040f , -0.919113852f , --0.388345047f , -0.921514039f , --0.382683432f , -0.923879533f , --0.377007410f , -0.926210242f , --0.371317194f , -0.928506080f , --0.365612998f , -0.930766961f , --0.359895037f , -0.932992799f , --0.354163525f , -0.935183510f , --0.348418680f , -0.937339012f , --0.342660717f , -0.939459224f , --0.336889853f , -0.941544065f , --0.331106306f , -0.943593458f , --0.325310292f , -0.945607325f , --0.319502031f , -0.947585591f , --0.313681740f , -0.949528181f , --0.307849640f , -0.951435021f , --0.302005949f , -0.953306040f , --0.296150888f , -0.955141168f , --0.290284677f , -0.956940336f , --0.284407537f , -0.958703475f , --0.278519689f , -0.960430519f , --0.272621355f , -0.962121404f , --0.266712757f , -0.963776066f , --0.260794118f , -0.965394442f , --0.254865660f , -0.966976471f , --0.248927606f , -0.968522094f , --0.242980180f , -0.970031253f , --0.237023606f , -0.971503891f , --0.231058108f , -0.972939952f , --0.225083911f , -0.974339383f , --0.219101240f , -0.975702130f , --0.213110320f , -0.977028143f , --0.207111376f , -0.978317371f , --0.201104635f , -0.979569766f , --0.195090322f , -0.980785280f , --0.189068664f , -0.981963869f , --0.183039888f , -0.983105487f , --0.177004220f , -0.984210092f , --0.170961889f , -0.985277642f , --0.164913120f , -0.986308097f , --0.158858143f , -0.987301418f , --0.152797185f , -0.988257568f , --0.146730474f , -0.989176510f , --0.140658239f , -0.990058210f , --0.134580709f , -0.990902635f , --0.128498111f , -0.991709754f , --0.122410675f , -0.992479535f , --0.116318631f , -0.993211949f , --0.110222207f , -0.993906970f , --0.104121634f , -0.994564571f , --0.098017140f , -0.995184727f , --0.091908956f , -0.995767414f , --0.085797312f , -0.996312612f , --0.079682438f , -0.996820299f , --0.073564564f , -0.997290457f , --0.067443920f , -0.997723067f , --0.061320736f , -0.998118113f , --0.055195244f , -0.998475581f , --0.049067674f , -0.998795456f , --0.042938257f , -0.999077728f , --0.036807223f , -0.999322385f , --0.030674803f , -0.999529418f , --0.024541229f , -0.999698819f , --0.018406730f , -0.999830582f , --0.012271538f , -0.999924702f , --0.006135885f , -0.999981175f , --0.000000000f , -1.000000000f , -0.006135885f , -0.999981175f , -0.012271538f , -0.999924702f , -0.018406730f , -0.999830582f , -0.024541229f , -0.999698819f , -0.030674803f , -0.999529418f , -0.036807223f , -0.999322385f , -0.042938257f , -0.999077728f , -0.049067674f , -0.998795456f , -0.055195244f , -0.998475581f , -0.061320736f , -0.998118113f , -0.067443920f , -0.997723067f , -0.073564564f , -0.997290457f , -0.079682438f , -0.996820299f , -0.085797312f , -0.996312612f , -0.091908956f , -0.995767414f , -0.098017140f , -0.995184727f , -0.104121634f , -0.994564571f , -0.110222207f , -0.993906970f , -0.116318631f , -0.993211949f , -0.122410675f , -0.992479535f , -0.128498111f , -0.991709754f , -0.134580709f , -0.990902635f , -0.140658239f , -0.990058210f , -0.146730474f , -0.989176510f , -0.152797185f , -0.988257568f , -0.158858143f , -0.987301418f , -0.164913120f , -0.986308097f , -0.170961889f , -0.985277642f , -0.177004220f , -0.984210092f , -0.183039888f , -0.983105487f , -0.189068664f , -0.981963869f , -0.195090322f , -0.980785280f , -0.201104635f , -0.979569766f , -0.207111376f , -0.978317371f , -0.213110320f , -0.977028143f , -0.219101240f , -0.975702130f , -0.225083911f , -0.974339383f , -0.231058108f , -0.972939952f , -0.237023606f , -0.971503891f , -0.242980180f , -0.970031253f , -0.248927606f , -0.968522094f , -0.254865660f , -0.966976471f , -0.260794118f , -0.965394442f , -0.266712757f , -0.963776066f , -0.272621355f , -0.962121404f , -0.278519689f , -0.960430519f , -0.284407537f , -0.958703475f , -0.290284677f , -0.956940336f , -0.296150888f , -0.955141168f , -0.302005949f , -0.953306040f , -0.307849640f , -0.951435021f , -0.313681740f , -0.949528181f , -0.319502031f , -0.947585591f , -0.325310292f , -0.945607325f , -0.331106306f , -0.943593458f , -0.336889853f , -0.941544065f , -0.342660717f , -0.939459224f , -0.348418680f , -0.937339012f , -0.354163525f , -0.935183510f , -0.359895037f , -0.932992799f , -0.365612998f , -0.930766961f , -0.371317194f , -0.928506080f , -0.377007410f , -0.926210242f , -0.382683432f , -0.923879533f , -0.388345047f , -0.921514039f , -0.393992040f , -0.919113852f , -0.399624200f , -0.916679060f , -0.405241314f , -0.914209756f , -0.410843171f , -0.911706032f , -0.416429560f , -0.909167983f , -0.422000271f , -0.906595705f , -0.427555093f , -0.903989293f , -0.433093819f , -0.901348847f , -0.438616239f , -0.898674466f , -0.444122145f , -0.895966250f , -0.449611330f , -0.893224301f , -0.455083587f , -0.890448723f , -0.460538711f , -0.887639620f , -0.465976496f , -0.884797098f , -0.471396737f , -0.881921264f , -0.476799230f , -0.879012226f , -0.482183772f , -0.876070094f , -0.487550160f , -0.873094978f , -0.492898192f , -0.870086991f , -0.498227667f , -0.867046246f , -0.503538384f , -0.863972856f , -0.508830143f , -0.860866939f , -0.514102744f , -0.857728610f , -0.519355990f , -0.854557988f , -0.524589683f , -0.851355193f , -0.529803625f , -0.848120345f , -0.534997620f , -0.844853565f , -0.540171473f , -0.841554977f , -0.545324988f , -0.838224706f , -0.550457973f , -0.834862875f , -0.555570233f , -0.831469612f , -0.560661576f , -0.828045045f , -0.565731811f , -0.824589303f , -0.570780746f , -0.821102515f , -0.575808191f , -0.817584813f , -0.580813958f , -0.814036330f , -0.585797857f , -0.810457198f , -0.590759702f , -0.806847554f , -0.595699304f , -0.803207531f , -0.600616479f , -0.799537269f , -0.605511041f , -0.795836905f , -0.610382806f , -0.792106577f , -0.615231591f , -0.788346428f , -0.620057212f , -0.784556597f , -0.624859488f , -0.780737229f , -0.629638239f , -0.776888466f , -0.634393284f , -0.773010453f , -0.639124445f , -0.769103338f , -0.643831543f , -0.765167266f , -0.648514401f , -0.761202385f , -0.653172843f , -0.757208847f , -0.657806693f , -0.753186799f , -0.662415778f , -0.749136395f , -0.666999922f , -0.745057785f , -0.671558955f , -0.740951125f , -0.676092704f , -0.736816569f , -0.680600998f , -0.732654272f , -0.685083668f , -0.728464390f , -0.689540545f , -0.724247083f , -0.693971461f , -0.720002508f , -0.698376249f , -0.715730825f , -0.702754744f , -0.711432196f , -0.707106781f , -0.707106781f , -0.711432196f , -0.702754744f , -0.715730825f , -0.698376249f , -0.720002508f , -0.693971461f , -0.724247083f , -0.689540545f , -0.728464390f , -0.685083668f , -0.732654272f , -0.680600998f , -0.736816569f , -0.676092704f , -0.740951125f , -0.671558955f , -0.745057785f , -0.666999922f , -0.749136395f , -0.662415778f , -0.753186799f , -0.657806693f , -0.757208847f , -0.653172843f , -0.761202385f , -0.648514401f , -0.765167266f , -0.643831543f , -0.769103338f , -0.639124445f , -0.773010453f , -0.634393284f , -0.776888466f , -0.629638239f , -0.780737229f , -0.624859488f , -0.784556597f , -0.620057212f , -0.788346428f , -0.615231591f , -0.792106577f , -0.610382806f , -0.795836905f , -0.605511041f , -0.799537269f , -0.600616479f , -0.803207531f , -0.595699304f , -0.806847554f , -0.590759702f , -0.810457198f , -0.585797857f , -0.814036330f , -0.580813958f , -0.817584813f , -0.575808191f , -0.821102515f , -0.570780746f , -0.824589303f , -0.565731811f , -0.828045045f , -0.560661576f , -0.831469612f , -0.555570233f , -0.834862875f , -0.550457973f , -0.838224706f , -0.545324988f , -0.841554977f , -0.540171473f , -0.844853565f , -0.534997620f , -0.848120345f , -0.529803625f , -0.851355193f , -0.524589683f , -0.854557988f , -0.519355990f , -0.857728610f , -0.514102744f , -0.860866939f , -0.508830143f , -0.863972856f , -0.503538384f , -0.867046246f , -0.498227667f , -0.870086991f , -0.492898192f , -0.873094978f , -0.487550160f , -0.876070094f , -0.482183772f , -0.879012226f , -0.476799230f , -0.881921264f , -0.471396737f , -0.884797098f , -0.465976496f , -0.887639620f , -0.460538711f , -0.890448723f , -0.455083587f , -0.893224301f , -0.449611330f , -0.895966250f , -0.444122145f , -0.898674466f , -0.438616239f , -0.901348847f , -0.433093819f , -0.903989293f , -0.427555093f , -0.906595705f , -0.422000271f , -0.909167983f , -0.416429560f , -0.911706032f , -0.410843171f , -0.914209756f , -0.405241314f , -0.916679060f , -0.399624200f , -0.919113852f , -0.393992040f , -0.921514039f , -0.388345047f , -0.923879533f , -0.382683432f , -0.926210242f , -0.377007410f , -0.928506080f , -0.371317194f , -0.930766961f , -0.365612998f , -0.932992799f , -0.359895037f , -0.935183510f , -0.354163525f , -0.937339012f , -0.348418680f , -0.939459224f , -0.342660717f , -0.941544065f , -0.336889853f , -0.943593458f , -0.331106306f , -0.945607325f , -0.325310292f , -0.947585591f , -0.319502031f , -0.949528181f , -0.313681740f , -0.951435021f , -0.307849640f , -0.953306040f , -0.302005949f , -0.955141168f , -0.296150888f , -0.956940336f , -0.290284677f , -0.958703475f , -0.284407537f , -0.960430519f , -0.278519689f , -0.962121404f , -0.272621355f , -0.963776066f , -0.266712757f , -0.965394442f , -0.260794118f , -0.966976471f , -0.254865660f , -0.968522094f , -0.248927606f , -0.970031253f , -0.242980180f , -0.971503891f , -0.237023606f , -0.972939952f , -0.231058108f , -0.974339383f , -0.225083911f , -0.975702130f , -0.219101240f , -0.977028143f , -0.213110320f , -0.978317371f , -0.207111376f , -0.979569766f , -0.201104635f , -0.980785280f , -0.195090322f , -0.981963869f , -0.189068664f , -0.983105487f , -0.183039888f , -0.984210092f , -0.177004220f , -0.985277642f , -0.170961889f , -0.986308097f , -0.164913120f , -0.987301418f , -0.158858143f , -0.988257568f , -0.152797185f , -0.989176510f , -0.146730474f , -0.990058210f , -0.140658239f , -0.990902635f , -0.134580709f , -0.991709754f , -0.128498111f , -0.992479535f , -0.122410675f , -0.993211949f , -0.116318631f , -0.993906970f , -0.110222207f , -0.994564571f , -0.104121634f , -0.995184727f , -0.098017140f , -0.995767414f , -0.091908956f , -0.996312612f , -0.085797312f , -0.996820299f , -0.079682438f , -0.997290457f , -0.073564564f , -0.997723067f , -0.067443920f , -0.998118113f , -0.061320736f , -0.998475581f , -0.055195244f , -0.998795456f , -0.049067674f , -0.999077728f , -0.042938257f , -0.999322385f , -0.036807223f , -0.999529418f , -0.030674803f , -0.999698819f , -0.024541229f , -0.999830582f , -0.018406730f , -0.999924702f , -0.012271538f , -0.999981175f , -0.006135885f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* <pre>for(i = 0; i< N/; i++) -* { -* twiddleCoef[2*i]= cos(i * 2*PI/(float)N); -* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); -* } </pre> -* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_2048[4096] = { - 1.000000000f, 0.000000000f, - 0.999995294f, 0.003067957f, - 0.999981175f, 0.006135885f, - 0.999957645f, 0.009203755f, - 0.999924702f, 0.012271538f, - 0.999882347f, 0.015339206f, - 0.999830582f, 0.018406730f, - 0.999769405f, 0.021474080f, - 0.999698819f, 0.024541229f, - 0.999618822f, 0.027608146f, - 0.999529418f, 0.030674803f, - 0.999430605f, 0.033741172f, - 0.999322385f, 0.036807223f, - 0.999204759f, 0.039872928f, - 0.999077728f, 0.042938257f, - 0.998941293f, 0.046003182f, - 0.998795456f, 0.049067674f, - 0.998640218f, 0.052131705f, - 0.998475581f, 0.055195244f, - 0.998301545f, 0.058258265f, - 0.998118113f, 0.061320736f, - 0.997925286f, 0.064382631f, - 0.997723067f, 0.067443920f, - 0.997511456f, 0.070504573f, - 0.997290457f, 0.073564564f, - 0.997060070f, 0.076623861f, - 0.996820299f, 0.079682438f, - 0.996571146f, 0.082740265f, - 0.996312612f, 0.085797312f, - 0.996044701f, 0.088853553f, - 0.995767414f, 0.091908956f, - 0.995480755f, 0.094963495f, - 0.995184727f, 0.098017140f, - 0.994879331f, 0.101069863f, - 0.994564571f, 0.104121634f, - 0.994240449f, 0.107172425f, - 0.993906970f, 0.110222207f, - 0.993564136f, 0.113270952f, - 0.993211949f, 0.116318631f, - 0.992850414f, 0.119365215f, - 0.992479535f, 0.122410675f, - 0.992099313f, 0.125454983f, - 0.991709754f, 0.128498111f, - 0.991310860f, 0.131540029f, - 0.990902635f, 0.134580709f, - 0.990485084f, 0.137620122f, - 0.990058210f, 0.140658239f, - 0.989622017f, 0.143695033f, - 0.989176510f, 0.146730474f, - 0.988721692f, 0.149764535f, - 0.988257568f, 0.152797185f, - 0.987784142f, 0.155828398f, - 0.987301418f, 0.158858143f, - 0.986809402f, 0.161886394f, - 0.986308097f, 0.164913120f, - 0.985797509f, 0.167938295f, - 0.985277642f, 0.170961889f, - 0.984748502f, 0.173983873f, - 0.984210092f, 0.177004220f, - 0.983662419f, 0.180022901f, - 0.983105487f, 0.183039888f, - 0.982539302f, 0.186055152f, - 0.981963869f, 0.189068664f, - 0.981379193f, 0.192080397f, - 0.980785280f, 0.195090322f, - 0.980182136f, 0.198098411f, - 0.979569766f, 0.201104635f, - 0.978948175f, 0.204108966f, - 0.978317371f, 0.207111376f, - 0.977677358f, 0.210111837f, - 0.977028143f, 0.213110320f, - 0.976369731f, 0.216106797f, - 0.975702130f, 0.219101240f, - 0.975025345f, 0.222093621f, - 0.974339383f, 0.225083911f, - 0.973644250f, 0.228072083f, - 0.972939952f, 0.231058108f, - 0.972226497f, 0.234041959f, - 0.971503891f, 0.237023606f, - 0.970772141f, 0.240003022f, - 0.970031253f, 0.242980180f, - 0.969281235f, 0.245955050f, - 0.968522094f, 0.248927606f, - 0.967753837f, 0.251897818f, - 0.966976471f, 0.254865660f, - 0.966190003f, 0.257831102f, - 0.965394442f, 0.260794118f, - 0.964589793f, 0.263754679f, - 0.963776066f, 0.266712757f, - 0.962953267f, 0.269668326f, - 0.962121404f, 0.272621355f, - 0.961280486f, 0.275571819f, - 0.960430519f, 0.278519689f, - 0.959571513f, 0.281464938f, - 0.958703475f, 0.284407537f, - 0.957826413f, 0.287347460f, - 0.956940336f, 0.290284677f, - 0.956045251f, 0.293219163f, - 0.955141168f, 0.296150888f, - 0.954228095f, 0.299079826f, - 0.953306040f, 0.302005949f, - 0.952375013f, 0.304929230f, - 0.951435021f, 0.307849640f, - 0.950486074f, 0.310767153f, - 0.949528181f, 0.313681740f, - 0.948561350f, 0.316593376f, - 0.947585591f, 0.319502031f, - 0.946600913f, 0.322407679f, - 0.945607325f, 0.325310292f, - 0.944604837f, 0.328209844f, - 0.943593458f, 0.331106306f, - 0.942573198f, 0.333999651f, - 0.941544065f, 0.336889853f, - 0.940506071f, 0.339776884f, - 0.939459224f, 0.342660717f, - 0.938403534f, 0.345541325f, - 0.937339012f, 0.348418680f, - 0.936265667f, 0.351292756f, - 0.935183510f, 0.354163525f, - 0.934092550f, 0.357030961f, - 0.932992799f, 0.359895037f, - 0.931884266f, 0.362755724f, - 0.930766961f, 0.365612998f, - 0.929640896f, 0.368466830f, - 0.928506080f, 0.371317194f, - 0.927362526f, 0.374164063f, - 0.926210242f, 0.377007410f, - 0.925049241f, 0.379847209f, - 0.923879533f, 0.382683432f, - 0.922701128f, 0.385516054f, - 0.921514039f, 0.388345047f, - 0.920318277f, 0.391170384f, - 0.919113852f, 0.393992040f, - 0.917900776f, 0.396809987f, - 0.916679060f, 0.399624200f, - 0.915448716f, 0.402434651f, - 0.914209756f, 0.405241314f, - 0.912962190f, 0.408044163f, - 0.911706032f, 0.410843171f, - 0.910441292f, 0.413638312f, - 0.909167983f, 0.416429560f, - 0.907886116f, 0.419216888f, - 0.906595705f, 0.422000271f, - 0.905296759f, 0.424779681f, - 0.903989293f, 0.427555093f, - 0.902673318f, 0.430326481f, - 0.901348847f, 0.433093819f, - 0.900015892f, 0.435857080f, - 0.898674466f, 0.438616239f, - 0.897324581f, 0.441371269f, - 0.895966250f, 0.444122145f, - 0.894599486f, 0.446868840f, - 0.893224301f, 0.449611330f, - 0.891840709f, 0.452349587f, - 0.890448723f, 0.455083587f, - 0.889048356f, 0.457813304f, - 0.887639620f, 0.460538711f, - 0.886222530f, 0.463259784f, - 0.884797098f, 0.465976496f, - 0.883363339f, 0.468688822f, - 0.881921264f, 0.471396737f, - 0.880470889f, 0.474100215f, - 0.879012226f, 0.476799230f, - 0.877545290f, 0.479493758f, - 0.876070094f, 0.482183772f, - 0.874586652f, 0.484869248f, - 0.873094978f, 0.487550160f, - 0.871595087f, 0.490226483f, - 0.870086991f, 0.492898192f, - 0.868570706f, 0.495565262f, - 0.867046246f, 0.498227667f, - 0.865513624f, 0.500885383f, - 0.863972856f, 0.503538384f, - 0.862423956f, 0.506186645f, - 0.860866939f, 0.508830143f, - 0.859301818f, 0.511468850f, - 0.857728610f, 0.514102744f, - 0.856147328f, 0.516731799f, - 0.854557988f, 0.519355990f, - 0.852960605f, 0.521975293f, - 0.851355193f, 0.524589683f, - 0.849741768f, 0.527199135f, - 0.848120345f, 0.529803625f, - 0.846490939f, 0.532403128f, - 0.844853565f, 0.534997620f, - 0.843208240f, 0.537587076f, - 0.841554977f, 0.540171473f, - 0.839893794f, 0.542750785f, - 0.838224706f, 0.545324988f, - 0.836547727f, 0.547894059f, - 0.834862875f, 0.550457973f, - 0.833170165f, 0.553016706f, - 0.831469612f, 0.555570233f, - 0.829761234f, 0.558118531f, - 0.828045045f, 0.560661576f, - 0.826321063f, 0.563199344f, - 0.824589303f, 0.565731811f, - 0.822849781f, 0.568258953f, - 0.821102515f, 0.570780746f, - 0.819347520f, 0.573297167f, - 0.817584813f, 0.575808191f, - 0.815814411f, 0.578313796f, - 0.814036330f, 0.580813958f, - 0.812250587f, 0.583308653f, - 0.810457198f, 0.585797857f, - 0.808656182f, 0.588281548f, - 0.806847554f, 0.590759702f, - 0.805031331f, 0.593232295f, - 0.803207531f, 0.595699304f, - 0.801376172f, 0.598160707f, - 0.799537269f, 0.600616479f, - 0.797690841f, 0.603066599f, - 0.795836905f, 0.605511041f, - 0.793975478f, 0.607949785f, - 0.792106577f, 0.610382806f, - 0.790230221f, 0.612810082f, - 0.788346428f, 0.615231591f, - 0.786455214f, 0.617647308f, - 0.784556597f, 0.620057212f, - 0.782650596f, 0.622461279f, - 0.780737229f, 0.624859488f, - 0.778816512f, 0.627251815f, - 0.776888466f, 0.629638239f, - 0.774953107f, 0.632018736f, - 0.773010453f, 0.634393284f, - 0.771060524f, 0.636761861f, - 0.769103338f, 0.639124445f, - 0.767138912f, 0.641481013f, - 0.765167266f, 0.643831543f, - 0.763188417f, 0.646176013f, - 0.761202385f, 0.648514401f, - 0.759209189f, 0.650846685f, - 0.757208847f, 0.653172843f, - 0.755201377f, 0.655492853f, - 0.753186799f, 0.657806693f, - 0.751165132f, 0.660114342f, - 0.749136395f, 0.662415778f, - 0.747100606f, 0.664710978f, - 0.745057785f, 0.666999922f, - 0.743007952f, 0.669282588f, - 0.740951125f, 0.671558955f, - 0.738887324f, 0.673829000f, - 0.736816569f, 0.676092704f, - 0.734738878f, 0.678350043f, - 0.732654272f, 0.680600998f, - 0.730562769f, 0.682845546f, - 0.728464390f, 0.685083668f, - 0.726359155f, 0.687315341f, - 0.724247083f, 0.689540545f, - 0.722128194f, 0.691759258f, - 0.720002508f, 0.693971461f, - 0.717870045f, 0.696177131f, - 0.715730825f, 0.698376249f, - 0.713584869f, 0.700568794f, - 0.711432196f, 0.702754744f, - 0.709272826f, 0.704934080f, - 0.707106781f, 0.707106781f, - 0.704934080f, 0.709272826f, - 0.702754744f, 0.711432196f, - 0.700568794f, 0.713584869f, - 0.698376249f, 0.715730825f, - 0.696177131f, 0.717870045f, - 0.693971461f, 0.720002508f, - 0.691759258f, 0.722128194f, - 0.689540545f, 0.724247083f, - 0.687315341f, 0.726359155f, - 0.685083668f, 0.728464390f, - 0.682845546f, 0.730562769f, - 0.680600998f, 0.732654272f, - 0.678350043f, 0.734738878f, - 0.676092704f, 0.736816569f, - 0.673829000f, 0.738887324f, - 0.671558955f, 0.740951125f, - 0.669282588f, 0.743007952f, - 0.666999922f, 0.745057785f, - 0.664710978f, 0.747100606f, - 0.662415778f, 0.749136395f, - 0.660114342f, 0.751165132f, - 0.657806693f, 0.753186799f, - 0.655492853f, 0.755201377f, - 0.653172843f, 0.757208847f, - 0.650846685f, 0.759209189f, - 0.648514401f, 0.761202385f, - 0.646176013f, 0.763188417f, - 0.643831543f, 0.765167266f, - 0.641481013f, 0.767138912f, - 0.639124445f, 0.769103338f, - 0.636761861f, 0.771060524f, - 0.634393284f, 0.773010453f, - 0.632018736f, 0.774953107f, - 0.629638239f, 0.776888466f, - 0.627251815f, 0.778816512f, - 0.624859488f, 0.780737229f, - 0.622461279f, 0.782650596f, - 0.620057212f, 0.784556597f, - 0.617647308f, 0.786455214f, - 0.615231591f, 0.788346428f, - 0.612810082f, 0.790230221f, - 0.610382806f, 0.792106577f, - 0.607949785f, 0.793975478f, - 0.605511041f, 0.795836905f, - 0.603066599f, 0.797690841f, - 0.600616479f, 0.799537269f, - 0.598160707f, 0.801376172f, - 0.595699304f, 0.803207531f, - 0.593232295f, 0.805031331f, - 0.590759702f, 0.806847554f, - 0.588281548f, 0.808656182f, - 0.585797857f, 0.810457198f, - 0.583308653f, 0.812250587f, - 0.580813958f, 0.814036330f, - 0.578313796f, 0.815814411f, - 0.575808191f, 0.817584813f, - 0.573297167f, 0.819347520f, - 0.570780746f, 0.821102515f, - 0.568258953f, 0.822849781f, - 0.565731811f, 0.824589303f, - 0.563199344f, 0.826321063f, - 0.560661576f, 0.828045045f, - 0.558118531f, 0.829761234f, - 0.555570233f, 0.831469612f, - 0.553016706f, 0.833170165f, - 0.550457973f, 0.834862875f, - 0.547894059f, 0.836547727f, - 0.545324988f, 0.838224706f, - 0.542750785f, 0.839893794f, - 0.540171473f, 0.841554977f, - 0.537587076f, 0.843208240f, - 0.534997620f, 0.844853565f, - 0.532403128f, 0.846490939f, - 0.529803625f, 0.848120345f, - 0.527199135f, 0.849741768f, - 0.524589683f, 0.851355193f, - 0.521975293f, 0.852960605f, - 0.519355990f, 0.854557988f, - 0.516731799f, 0.856147328f, - 0.514102744f, 0.857728610f, - 0.511468850f, 0.859301818f, - 0.508830143f, 0.860866939f, - 0.506186645f, 0.862423956f, - 0.503538384f, 0.863972856f, - 0.500885383f, 0.865513624f, - 0.498227667f, 0.867046246f, - 0.495565262f, 0.868570706f, - 0.492898192f, 0.870086991f, - 0.490226483f, 0.871595087f, - 0.487550160f, 0.873094978f, - 0.484869248f, 0.874586652f, - 0.482183772f, 0.876070094f, - 0.479493758f, 0.877545290f, - 0.476799230f, 0.879012226f, - 0.474100215f, 0.880470889f, - 0.471396737f, 0.881921264f, - 0.468688822f, 0.883363339f, - 0.465976496f, 0.884797098f, - 0.463259784f, 0.886222530f, - 0.460538711f, 0.887639620f, - 0.457813304f, 0.889048356f, - 0.455083587f, 0.890448723f, - 0.452349587f, 0.891840709f, - 0.449611330f, 0.893224301f, - 0.446868840f, 0.894599486f, - 0.444122145f, 0.895966250f, - 0.441371269f, 0.897324581f, - 0.438616239f, 0.898674466f, - 0.435857080f, 0.900015892f, - 0.433093819f, 0.901348847f, - 0.430326481f, 0.902673318f, - 0.427555093f, 0.903989293f, - 0.424779681f, 0.905296759f, - 0.422000271f, 0.906595705f, - 0.419216888f, 0.907886116f, - 0.416429560f, 0.909167983f, - 0.413638312f, 0.910441292f, - 0.410843171f, 0.911706032f, - 0.408044163f, 0.912962190f, - 0.405241314f, 0.914209756f, - 0.402434651f, 0.915448716f, - 0.399624200f, 0.916679060f, - 0.396809987f, 0.917900776f, - 0.393992040f, 0.919113852f, - 0.391170384f, 0.920318277f, - 0.388345047f, 0.921514039f, - 0.385516054f, 0.922701128f, - 0.382683432f, 0.923879533f, - 0.379847209f, 0.925049241f, - 0.377007410f, 0.926210242f, - 0.374164063f, 0.927362526f, - 0.371317194f, 0.928506080f, - 0.368466830f, 0.929640896f, - 0.365612998f, 0.930766961f, - 0.362755724f, 0.931884266f, - 0.359895037f, 0.932992799f, - 0.357030961f, 0.934092550f, - 0.354163525f, 0.935183510f, - 0.351292756f, 0.936265667f, - 0.348418680f, 0.937339012f, - 0.345541325f, 0.938403534f, - 0.342660717f, 0.939459224f, - 0.339776884f, 0.940506071f, - 0.336889853f, 0.941544065f, - 0.333999651f, 0.942573198f, - 0.331106306f, 0.943593458f, - 0.328209844f, 0.944604837f, - 0.325310292f, 0.945607325f, - 0.322407679f, 0.946600913f, - 0.319502031f, 0.947585591f, - 0.316593376f, 0.948561350f, - 0.313681740f, 0.949528181f, - 0.310767153f, 0.950486074f, - 0.307849640f, 0.951435021f, - 0.304929230f, 0.952375013f, - 0.302005949f, 0.953306040f, - 0.299079826f, 0.954228095f, - 0.296150888f, 0.955141168f, - 0.293219163f, 0.956045251f, - 0.290284677f, 0.956940336f, - 0.287347460f, 0.957826413f, - 0.284407537f, 0.958703475f, - 0.281464938f, 0.959571513f, - 0.278519689f, 0.960430519f, - 0.275571819f, 0.961280486f, - 0.272621355f, 0.962121404f, - 0.269668326f, 0.962953267f, - 0.266712757f, 0.963776066f, - 0.263754679f, 0.964589793f, - 0.260794118f, 0.965394442f, - 0.257831102f, 0.966190003f, - 0.254865660f, 0.966976471f, - 0.251897818f, 0.967753837f, - 0.248927606f, 0.968522094f, - 0.245955050f, 0.969281235f, - 0.242980180f, 0.970031253f, - 0.240003022f, 0.970772141f, - 0.237023606f, 0.971503891f, - 0.234041959f, 0.972226497f, - 0.231058108f, 0.972939952f, - 0.228072083f, 0.973644250f, - 0.225083911f, 0.974339383f, - 0.222093621f, 0.975025345f, - 0.219101240f, 0.975702130f, - 0.216106797f, 0.976369731f, - 0.213110320f, 0.977028143f, - 0.210111837f, 0.977677358f, - 0.207111376f, 0.978317371f, - 0.204108966f, 0.978948175f, - 0.201104635f, 0.979569766f, - 0.198098411f, 0.980182136f, - 0.195090322f, 0.980785280f, - 0.192080397f, 0.981379193f, - 0.189068664f, 0.981963869f, - 0.186055152f, 0.982539302f, - 0.183039888f, 0.983105487f, - 0.180022901f, 0.983662419f, - 0.177004220f, 0.984210092f, - 0.173983873f, 0.984748502f, - 0.170961889f, 0.985277642f, - 0.167938295f, 0.985797509f, - 0.164913120f, 0.986308097f, - 0.161886394f, 0.986809402f, - 0.158858143f, 0.987301418f, - 0.155828398f, 0.987784142f, - 0.152797185f, 0.988257568f, - 0.149764535f, 0.988721692f, - 0.146730474f, 0.989176510f, - 0.143695033f, 0.989622017f, - 0.140658239f, 0.990058210f, - 0.137620122f, 0.990485084f, - 0.134580709f, 0.990902635f, - 0.131540029f, 0.991310860f, - 0.128498111f, 0.991709754f, - 0.125454983f, 0.992099313f, - 0.122410675f, 0.992479535f, - 0.119365215f, 0.992850414f, - 0.116318631f, 0.993211949f, - 0.113270952f, 0.993564136f, - 0.110222207f, 0.993906970f, - 0.107172425f, 0.994240449f, - 0.104121634f, 0.994564571f, - 0.101069863f, 0.994879331f, - 0.098017140f, 0.995184727f, - 0.094963495f, 0.995480755f, - 0.091908956f, 0.995767414f, - 0.088853553f, 0.996044701f, - 0.085797312f, 0.996312612f, - 0.082740265f, 0.996571146f, - 0.079682438f, 0.996820299f, - 0.076623861f, 0.997060070f, - 0.073564564f, 0.997290457f, - 0.070504573f, 0.997511456f, - 0.067443920f, 0.997723067f, - 0.064382631f, 0.997925286f, - 0.061320736f, 0.998118113f, - 0.058258265f, 0.998301545f, - 0.055195244f, 0.998475581f, - 0.052131705f, 0.998640218f, - 0.049067674f, 0.998795456f, - 0.046003182f, 0.998941293f, - 0.042938257f, 0.999077728f, - 0.039872928f, 0.999204759f, - 0.036807223f, 0.999322385f, - 0.033741172f, 0.999430605f, - 0.030674803f, 0.999529418f, - 0.027608146f, 0.999618822f, - 0.024541229f, 0.999698819f, - 0.021474080f, 0.999769405f, - 0.018406730f, 0.999830582f, - 0.015339206f, 0.999882347f, - 0.012271538f, 0.999924702f, - 0.009203755f, 0.999957645f, - 0.006135885f, 0.999981175f, - 0.003067957f, 0.999995294f, - 0.000000000f, 1.000000000f, - -0.003067957f, 0.999995294f, - -0.006135885f, 0.999981175f, - -0.009203755f, 0.999957645f, - -0.012271538f, 0.999924702f, - -0.015339206f, 0.999882347f, - -0.018406730f, 0.999830582f, - -0.021474080f, 0.999769405f, - -0.024541229f, 0.999698819f, - -0.027608146f, 0.999618822f, - -0.030674803f, 0.999529418f, - -0.033741172f, 0.999430605f, - -0.036807223f, 0.999322385f, - -0.039872928f, 0.999204759f, - -0.042938257f, 0.999077728f, - -0.046003182f, 0.998941293f, - -0.049067674f, 0.998795456f, - -0.052131705f, 0.998640218f, - -0.055195244f, 0.998475581f, - -0.058258265f, 0.998301545f, - -0.061320736f, 0.998118113f, - -0.064382631f, 0.997925286f, - -0.067443920f, 0.997723067f, - -0.070504573f, 0.997511456f, - -0.073564564f, 0.997290457f, - -0.076623861f, 0.997060070f, - -0.079682438f, 0.996820299f, - -0.082740265f, 0.996571146f, - -0.085797312f, 0.996312612f, - -0.088853553f, 0.996044701f, - -0.091908956f, 0.995767414f, - -0.094963495f, 0.995480755f, - -0.098017140f, 0.995184727f, - -0.101069863f, 0.994879331f, - -0.104121634f, 0.994564571f, - -0.107172425f, 0.994240449f, - -0.110222207f, 0.993906970f, - -0.113270952f, 0.993564136f, - -0.116318631f, 0.993211949f, - -0.119365215f, 0.992850414f, - -0.122410675f, 0.992479535f, - -0.125454983f, 0.992099313f, - -0.128498111f, 0.991709754f, - -0.131540029f, 0.991310860f, - -0.134580709f, 0.990902635f, - -0.137620122f, 0.990485084f, - -0.140658239f, 0.990058210f, - -0.143695033f, 0.989622017f, - -0.146730474f, 0.989176510f, - -0.149764535f, 0.988721692f, - -0.152797185f, 0.988257568f, - -0.155828398f, 0.987784142f, - -0.158858143f, 0.987301418f, - -0.161886394f, 0.986809402f, - -0.164913120f, 0.986308097f, - -0.167938295f, 0.985797509f, - -0.170961889f, 0.985277642f, - -0.173983873f, 0.984748502f, - -0.177004220f, 0.984210092f, - -0.180022901f, 0.983662419f, - -0.183039888f, 0.983105487f, - -0.186055152f, 0.982539302f, - -0.189068664f, 0.981963869f, - -0.192080397f, 0.981379193f, - -0.195090322f, 0.980785280f, - -0.198098411f, 0.980182136f, - -0.201104635f, 0.979569766f, - -0.204108966f, 0.978948175f, - -0.207111376f, 0.978317371f, - -0.210111837f, 0.977677358f, - -0.213110320f, 0.977028143f, - -0.216106797f, 0.976369731f, - -0.219101240f, 0.975702130f, - -0.222093621f, 0.975025345f, - -0.225083911f, 0.974339383f, - -0.228072083f, 0.973644250f, - -0.231058108f, 0.972939952f, - -0.234041959f, 0.972226497f, - -0.237023606f, 0.971503891f, - -0.240003022f, 0.970772141f, - -0.242980180f, 0.970031253f, - -0.245955050f, 0.969281235f, - -0.248927606f, 0.968522094f, - -0.251897818f, 0.967753837f, - -0.254865660f, 0.966976471f, - -0.257831102f, 0.966190003f, - -0.260794118f, 0.965394442f, - -0.263754679f, 0.964589793f, - -0.266712757f, 0.963776066f, - -0.269668326f, 0.962953267f, - -0.272621355f, 0.962121404f, - -0.275571819f, 0.961280486f, - -0.278519689f, 0.960430519f, - -0.281464938f, 0.959571513f, - -0.284407537f, 0.958703475f, - -0.287347460f, 0.957826413f, - -0.290284677f, 0.956940336f, - -0.293219163f, 0.956045251f, - -0.296150888f, 0.955141168f, - -0.299079826f, 0.954228095f, - -0.302005949f, 0.953306040f, - -0.304929230f, 0.952375013f, - -0.307849640f, 0.951435021f, - -0.310767153f, 0.950486074f, - -0.313681740f, 0.949528181f, - -0.316593376f, 0.948561350f, - -0.319502031f, 0.947585591f, - -0.322407679f, 0.946600913f, - -0.325310292f, 0.945607325f, - -0.328209844f, 0.944604837f, - -0.331106306f, 0.943593458f, - -0.333999651f, 0.942573198f, - -0.336889853f, 0.941544065f, - -0.339776884f, 0.940506071f, - -0.342660717f, 0.939459224f, - -0.345541325f, 0.938403534f, - -0.348418680f, 0.937339012f, - -0.351292756f, 0.936265667f, - -0.354163525f, 0.935183510f, - -0.357030961f, 0.934092550f, - -0.359895037f, 0.932992799f, - -0.362755724f, 0.931884266f, - -0.365612998f, 0.930766961f, - -0.368466830f, 0.929640896f, - -0.371317194f, 0.928506080f, - -0.374164063f, 0.927362526f, - -0.377007410f, 0.926210242f, - -0.379847209f, 0.925049241f, - -0.382683432f, 0.923879533f, - -0.385516054f, 0.922701128f, - -0.388345047f, 0.921514039f, - -0.391170384f, 0.920318277f, - -0.393992040f, 0.919113852f, - -0.396809987f, 0.917900776f, - -0.399624200f, 0.916679060f, - -0.402434651f, 0.915448716f, - -0.405241314f, 0.914209756f, - -0.408044163f, 0.912962190f, - -0.410843171f, 0.911706032f, - -0.413638312f, 0.910441292f, - -0.416429560f, 0.909167983f, - -0.419216888f, 0.907886116f, - -0.422000271f, 0.906595705f, - -0.424779681f, 0.905296759f, - -0.427555093f, 0.903989293f, - -0.430326481f, 0.902673318f, - -0.433093819f, 0.901348847f, - -0.435857080f, 0.900015892f, - -0.438616239f, 0.898674466f, - -0.441371269f, 0.897324581f, - -0.444122145f, 0.895966250f, - -0.446868840f, 0.894599486f, - -0.449611330f, 0.893224301f, - -0.452349587f, 0.891840709f, - -0.455083587f, 0.890448723f, - -0.457813304f, 0.889048356f, - -0.460538711f, 0.887639620f, - -0.463259784f, 0.886222530f, - -0.465976496f, 0.884797098f, - -0.468688822f, 0.883363339f, - -0.471396737f, 0.881921264f, - -0.474100215f, 0.880470889f, - -0.476799230f, 0.879012226f, - -0.479493758f, 0.877545290f, - -0.482183772f, 0.876070094f, - -0.484869248f, 0.874586652f, - -0.487550160f, 0.873094978f, - -0.490226483f, 0.871595087f, - -0.492898192f, 0.870086991f, - -0.495565262f, 0.868570706f, - -0.498227667f, 0.867046246f, - -0.500885383f, 0.865513624f, - -0.503538384f, 0.863972856f, - -0.506186645f, 0.862423956f, - -0.508830143f, 0.860866939f, - -0.511468850f, 0.859301818f, - -0.514102744f, 0.857728610f, - -0.516731799f, 0.856147328f, - -0.519355990f, 0.854557988f, - -0.521975293f, 0.852960605f, - -0.524589683f, 0.851355193f, - -0.527199135f, 0.849741768f, - -0.529803625f, 0.848120345f, - -0.532403128f, 0.846490939f, - -0.534997620f, 0.844853565f, - -0.537587076f, 0.843208240f, - -0.540171473f, 0.841554977f, - -0.542750785f, 0.839893794f, - -0.545324988f, 0.838224706f, - -0.547894059f, 0.836547727f, - -0.550457973f, 0.834862875f, - -0.553016706f, 0.833170165f, - -0.555570233f, 0.831469612f, - -0.558118531f, 0.829761234f, - -0.560661576f, 0.828045045f, - -0.563199344f, 0.826321063f, - -0.565731811f, 0.824589303f, - -0.568258953f, 0.822849781f, - -0.570780746f, 0.821102515f, - -0.573297167f, 0.819347520f, - -0.575808191f, 0.817584813f, - -0.578313796f, 0.815814411f, - -0.580813958f, 0.814036330f, - -0.583308653f, 0.812250587f, - -0.585797857f, 0.810457198f, - -0.588281548f, 0.808656182f, - -0.590759702f, 0.806847554f, - -0.593232295f, 0.805031331f, - -0.595699304f, 0.803207531f, - -0.598160707f, 0.801376172f, - -0.600616479f, 0.799537269f, - -0.603066599f, 0.797690841f, - -0.605511041f, 0.795836905f, - -0.607949785f, 0.793975478f, - -0.610382806f, 0.792106577f, - -0.612810082f, 0.790230221f, - -0.615231591f, 0.788346428f, - -0.617647308f, 0.786455214f, - -0.620057212f, 0.784556597f, - -0.622461279f, 0.782650596f, - -0.624859488f, 0.780737229f, - -0.627251815f, 0.778816512f, - -0.629638239f, 0.776888466f, - -0.632018736f, 0.774953107f, - -0.634393284f, 0.773010453f, - -0.636761861f, 0.771060524f, - -0.639124445f, 0.769103338f, - -0.641481013f, 0.767138912f, - -0.643831543f, 0.765167266f, - -0.646176013f, 0.763188417f, - -0.648514401f, 0.761202385f, - -0.650846685f, 0.759209189f, - -0.653172843f, 0.757208847f, - -0.655492853f, 0.755201377f, - -0.657806693f, 0.753186799f, - -0.660114342f, 0.751165132f, - -0.662415778f, 0.749136395f, - -0.664710978f, 0.747100606f, - -0.666999922f, 0.745057785f, - -0.669282588f, 0.743007952f, - -0.671558955f, 0.740951125f, - -0.673829000f, 0.738887324f, - -0.676092704f, 0.736816569f, - -0.678350043f, 0.734738878f, - -0.680600998f, 0.732654272f, - -0.682845546f, 0.730562769f, - -0.685083668f, 0.728464390f, - -0.687315341f, 0.726359155f, - -0.689540545f, 0.724247083f, - -0.691759258f, 0.722128194f, - -0.693971461f, 0.720002508f, - -0.696177131f, 0.717870045f, - -0.698376249f, 0.715730825f, - -0.700568794f, 0.713584869f, - -0.702754744f, 0.711432196f, - -0.704934080f, 0.709272826f, - -0.707106781f, 0.707106781f, - -0.709272826f, 0.704934080f, - -0.711432196f, 0.702754744f, - -0.713584869f, 0.700568794f, - -0.715730825f, 0.698376249f, - -0.717870045f, 0.696177131f, - -0.720002508f, 0.693971461f, - -0.722128194f, 0.691759258f, - -0.724247083f, 0.689540545f, - -0.726359155f, 0.687315341f, - -0.728464390f, 0.685083668f, - -0.730562769f, 0.682845546f, - -0.732654272f, 0.680600998f, - -0.734738878f, 0.678350043f, - -0.736816569f, 0.676092704f, - -0.738887324f, 0.673829000f, - -0.740951125f, 0.671558955f, - -0.743007952f, 0.669282588f, - -0.745057785f, 0.666999922f, - -0.747100606f, 0.664710978f, - -0.749136395f, 0.662415778f, - -0.751165132f, 0.660114342f, - -0.753186799f, 0.657806693f, - -0.755201377f, 0.655492853f, - -0.757208847f, 0.653172843f, - -0.759209189f, 0.650846685f, - -0.761202385f, 0.648514401f, - -0.763188417f, 0.646176013f, - -0.765167266f, 0.643831543f, - -0.767138912f, 0.641481013f, - -0.769103338f, 0.639124445f, - -0.771060524f, 0.636761861f, - -0.773010453f, 0.634393284f, - -0.774953107f, 0.632018736f, - -0.776888466f, 0.629638239f, - -0.778816512f, 0.627251815f, - -0.780737229f, 0.624859488f, - -0.782650596f, 0.622461279f, - -0.784556597f, 0.620057212f, - -0.786455214f, 0.617647308f, - -0.788346428f, 0.615231591f, - -0.790230221f, 0.612810082f, - -0.792106577f, 0.610382806f, - -0.793975478f, 0.607949785f, - -0.795836905f, 0.605511041f, - -0.797690841f, 0.603066599f, - -0.799537269f, 0.600616479f, - -0.801376172f, 0.598160707f, - -0.803207531f, 0.595699304f, - -0.805031331f, 0.593232295f, - -0.806847554f, 0.590759702f, - -0.808656182f, 0.588281548f, - -0.810457198f, 0.585797857f, - -0.812250587f, 0.583308653f, - -0.814036330f, 0.580813958f, - -0.815814411f, 0.578313796f, - -0.817584813f, 0.575808191f, - -0.819347520f, 0.573297167f, - -0.821102515f, 0.570780746f, - -0.822849781f, 0.568258953f, - -0.824589303f, 0.565731811f, - -0.826321063f, 0.563199344f, - -0.828045045f, 0.560661576f, - -0.829761234f, 0.558118531f, - -0.831469612f, 0.555570233f, - -0.833170165f, 0.553016706f, - -0.834862875f, 0.550457973f, - -0.836547727f, 0.547894059f, - -0.838224706f, 0.545324988f, - -0.839893794f, 0.542750785f, - -0.841554977f, 0.540171473f, - -0.843208240f, 0.537587076f, - -0.844853565f, 0.534997620f, - -0.846490939f, 0.532403128f, - -0.848120345f, 0.529803625f, - -0.849741768f, 0.527199135f, - -0.851355193f, 0.524589683f, - -0.852960605f, 0.521975293f, - -0.854557988f, 0.519355990f, - -0.856147328f, 0.516731799f, - -0.857728610f, 0.514102744f, - -0.859301818f, 0.511468850f, - -0.860866939f, 0.508830143f, - -0.862423956f, 0.506186645f, - -0.863972856f, 0.503538384f, - -0.865513624f, 0.500885383f, - -0.867046246f, 0.498227667f, - -0.868570706f, 0.495565262f, - -0.870086991f, 0.492898192f, - -0.871595087f, 0.490226483f, - -0.873094978f, 0.487550160f, - -0.874586652f, 0.484869248f, - -0.876070094f, 0.482183772f, - -0.877545290f, 0.479493758f, - -0.879012226f, 0.476799230f, - -0.880470889f, 0.474100215f, - -0.881921264f, 0.471396737f, - -0.883363339f, 0.468688822f, - -0.884797098f, 0.465976496f, - -0.886222530f, 0.463259784f, - -0.887639620f, 0.460538711f, - -0.889048356f, 0.457813304f, - -0.890448723f, 0.455083587f, - -0.891840709f, 0.452349587f, - -0.893224301f, 0.449611330f, - -0.894599486f, 0.446868840f, - -0.895966250f, 0.444122145f, - -0.897324581f, 0.441371269f, - -0.898674466f, 0.438616239f, - -0.900015892f, 0.435857080f, - -0.901348847f, 0.433093819f, - -0.902673318f, 0.430326481f, - -0.903989293f, 0.427555093f, - -0.905296759f, 0.424779681f, - -0.906595705f, 0.422000271f, - -0.907886116f, 0.419216888f, - -0.909167983f, 0.416429560f, - -0.910441292f, 0.413638312f, - -0.911706032f, 0.410843171f, - -0.912962190f, 0.408044163f, - -0.914209756f, 0.405241314f, - -0.915448716f, 0.402434651f, - -0.916679060f, 0.399624200f, - -0.917900776f, 0.396809987f, - -0.919113852f, 0.393992040f, - -0.920318277f, 0.391170384f, - -0.921514039f, 0.388345047f, - -0.922701128f, 0.385516054f, - -0.923879533f, 0.382683432f, - -0.925049241f, 0.379847209f, - -0.926210242f, 0.377007410f, - -0.927362526f, 0.374164063f, - -0.928506080f, 0.371317194f, - -0.929640896f, 0.368466830f, - -0.930766961f, 0.365612998f, - -0.931884266f, 0.362755724f, - -0.932992799f, 0.359895037f, - -0.934092550f, 0.357030961f, - -0.935183510f, 0.354163525f, - -0.936265667f, 0.351292756f, - -0.937339012f, 0.348418680f, - -0.938403534f, 0.345541325f, - -0.939459224f, 0.342660717f, - -0.940506071f, 0.339776884f, - -0.941544065f, 0.336889853f, - -0.942573198f, 0.333999651f, - -0.943593458f, 0.331106306f, - -0.944604837f, 0.328209844f, - -0.945607325f, 0.325310292f, - -0.946600913f, 0.322407679f, - -0.947585591f, 0.319502031f, - -0.948561350f, 0.316593376f, - -0.949528181f, 0.313681740f, - -0.950486074f, 0.310767153f, - -0.951435021f, 0.307849640f, - -0.952375013f, 0.304929230f, - -0.953306040f, 0.302005949f, - -0.954228095f, 0.299079826f, - -0.955141168f, 0.296150888f, - -0.956045251f, 0.293219163f, - -0.956940336f, 0.290284677f, - -0.957826413f, 0.287347460f, - -0.958703475f, 0.284407537f, - -0.959571513f, 0.281464938f, - -0.960430519f, 0.278519689f, - -0.961280486f, 0.275571819f, - -0.962121404f, 0.272621355f, - -0.962953267f, 0.269668326f, - -0.963776066f, 0.266712757f, - -0.964589793f, 0.263754679f, - -0.965394442f, 0.260794118f, - -0.966190003f, 0.257831102f, - -0.966976471f, 0.254865660f, - -0.967753837f, 0.251897818f, - -0.968522094f, 0.248927606f, - -0.969281235f, 0.245955050f, - -0.970031253f, 0.242980180f, - -0.970772141f, 0.240003022f, - -0.971503891f, 0.237023606f, - -0.972226497f, 0.234041959f, - -0.972939952f, 0.231058108f, - -0.973644250f, 0.228072083f, - -0.974339383f, 0.225083911f, - -0.975025345f, 0.222093621f, - -0.975702130f, 0.219101240f, - -0.976369731f, 0.216106797f, - -0.977028143f, 0.213110320f, - -0.977677358f, 0.210111837f, - -0.978317371f, 0.207111376f, - -0.978948175f, 0.204108966f, - -0.979569766f, 0.201104635f, - -0.980182136f, 0.198098411f, - -0.980785280f, 0.195090322f, - -0.981379193f, 0.192080397f, - -0.981963869f, 0.189068664f, - -0.982539302f, 0.186055152f, - -0.983105487f, 0.183039888f, - -0.983662419f, 0.180022901f, - -0.984210092f, 0.177004220f, - -0.984748502f, 0.173983873f, - -0.985277642f, 0.170961889f, - -0.985797509f, 0.167938295f, - -0.986308097f, 0.164913120f, - -0.986809402f, 0.161886394f, - -0.987301418f, 0.158858143f, - -0.987784142f, 0.155828398f, - -0.988257568f, 0.152797185f, - -0.988721692f, 0.149764535f, - -0.989176510f, 0.146730474f, - -0.989622017f, 0.143695033f, - -0.990058210f, 0.140658239f, - -0.990485084f, 0.137620122f, - -0.990902635f, 0.134580709f, - -0.991310860f, 0.131540029f, - -0.991709754f, 0.128498111f, - -0.992099313f, 0.125454983f, - -0.992479535f, 0.122410675f, - -0.992850414f, 0.119365215f, - -0.993211949f, 0.116318631f, - -0.993564136f, 0.113270952f, - -0.993906970f, 0.110222207f, - -0.994240449f, 0.107172425f, - -0.994564571f, 0.104121634f, - -0.994879331f, 0.101069863f, - -0.995184727f, 0.098017140f, - -0.995480755f, 0.094963495f, - -0.995767414f, 0.091908956f, - -0.996044701f, 0.088853553f, - -0.996312612f, 0.085797312f, - -0.996571146f, 0.082740265f, - -0.996820299f, 0.079682438f, - -0.997060070f, 0.076623861f, - -0.997290457f, 0.073564564f, - -0.997511456f, 0.070504573f, - -0.997723067f, 0.067443920f, - -0.997925286f, 0.064382631f, - -0.998118113f, 0.061320736f, - -0.998301545f, 0.058258265f, - -0.998475581f, 0.055195244f, - -0.998640218f, 0.052131705f, - -0.998795456f, 0.049067674f, - -0.998941293f, 0.046003182f, - -0.999077728f, 0.042938257f, - -0.999204759f, 0.039872928f, - -0.999322385f, 0.036807223f, - -0.999430605f, 0.033741172f, - -0.999529418f, 0.030674803f, - -0.999618822f, 0.027608146f, - -0.999698819f, 0.024541229f, - -0.999769405f, 0.021474080f, - -0.999830582f, 0.018406730f, - -0.999882347f, 0.015339206f, - -0.999924702f, 0.012271538f, - -0.999957645f, 0.009203755f, - -0.999981175f, 0.006135885f, - -0.999995294f, 0.003067957f, - -1.000000000f, 0.000000000f, - -0.999995294f, -0.003067957f, - -0.999981175f, -0.006135885f, - -0.999957645f, -0.009203755f, - -0.999924702f, -0.012271538f, - -0.999882347f, -0.015339206f, - -0.999830582f, -0.018406730f, - -0.999769405f, -0.021474080f, - -0.999698819f, -0.024541229f, - -0.999618822f, -0.027608146f, - -0.999529418f, -0.030674803f, - -0.999430605f, -0.033741172f, - -0.999322385f, -0.036807223f, - -0.999204759f, -0.039872928f, - -0.999077728f, -0.042938257f, - -0.998941293f, -0.046003182f, - -0.998795456f, -0.049067674f, - -0.998640218f, -0.052131705f, - -0.998475581f, -0.055195244f, - -0.998301545f, -0.058258265f, - -0.998118113f, -0.061320736f, - -0.997925286f, -0.064382631f, - -0.997723067f, -0.067443920f, - -0.997511456f, -0.070504573f, - -0.997290457f, -0.073564564f, - -0.997060070f, -0.076623861f, - -0.996820299f, -0.079682438f, - -0.996571146f, -0.082740265f, - -0.996312612f, -0.085797312f, - -0.996044701f, -0.088853553f, - -0.995767414f, -0.091908956f, - -0.995480755f, -0.094963495f, - -0.995184727f, -0.098017140f, - -0.994879331f, -0.101069863f, - -0.994564571f, -0.104121634f, - -0.994240449f, -0.107172425f, - -0.993906970f, -0.110222207f, - -0.993564136f, -0.113270952f, - -0.993211949f, -0.116318631f, - -0.992850414f, -0.119365215f, - -0.992479535f, -0.122410675f, - -0.992099313f, -0.125454983f, - -0.991709754f, -0.128498111f, - -0.991310860f, -0.131540029f, - -0.990902635f, -0.134580709f, - -0.990485084f, -0.137620122f, - -0.990058210f, -0.140658239f, - -0.989622017f, -0.143695033f, - -0.989176510f, -0.146730474f, - -0.988721692f, -0.149764535f, - -0.988257568f, -0.152797185f, - -0.987784142f, -0.155828398f, - -0.987301418f, -0.158858143f, - -0.986809402f, -0.161886394f, - -0.986308097f, -0.164913120f, - -0.985797509f, -0.167938295f, - -0.985277642f, -0.170961889f, - -0.984748502f, -0.173983873f, - -0.984210092f, -0.177004220f, - -0.983662419f, -0.180022901f, - -0.983105487f, -0.183039888f, - -0.982539302f, -0.186055152f, - -0.981963869f, -0.189068664f, - -0.981379193f, -0.192080397f, - -0.980785280f, -0.195090322f, - -0.980182136f, -0.198098411f, - -0.979569766f, -0.201104635f, - -0.978948175f, -0.204108966f, - -0.978317371f, -0.207111376f, - -0.977677358f, -0.210111837f, - -0.977028143f, -0.213110320f, - -0.976369731f, -0.216106797f, - -0.975702130f, -0.219101240f, - -0.975025345f, -0.222093621f, - -0.974339383f, -0.225083911f, - -0.973644250f, -0.228072083f, - -0.972939952f, -0.231058108f, - -0.972226497f, -0.234041959f, - -0.971503891f, -0.237023606f, - -0.970772141f, -0.240003022f, - -0.970031253f, -0.242980180f, - -0.969281235f, -0.245955050f, - -0.968522094f, -0.248927606f, - -0.967753837f, -0.251897818f, - -0.966976471f, -0.254865660f, - -0.966190003f, -0.257831102f, - -0.965394442f, -0.260794118f, - -0.964589793f, -0.263754679f, - -0.963776066f, -0.266712757f, - -0.962953267f, -0.269668326f, - -0.962121404f, -0.272621355f, - -0.961280486f, -0.275571819f, - -0.960430519f, -0.278519689f, - -0.959571513f, -0.281464938f, - -0.958703475f, -0.284407537f, - -0.957826413f, -0.287347460f, - -0.956940336f, -0.290284677f, - -0.956045251f, -0.293219163f, - -0.955141168f, -0.296150888f, - -0.954228095f, -0.299079826f, - -0.953306040f, -0.302005949f, - -0.952375013f, -0.304929230f, - -0.951435021f, -0.307849640f, - -0.950486074f, -0.310767153f, - -0.949528181f, -0.313681740f, - -0.948561350f, -0.316593376f, - -0.947585591f, -0.319502031f, - -0.946600913f, -0.322407679f, - -0.945607325f, -0.325310292f, - -0.944604837f, -0.328209844f, - -0.943593458f, -0.331106306f, - -0.942573198f, -0.333999651f, - -0.941544065f, -0.336889853f, - -0.940506071f, -0.339776884f, - -0.939459224f, -0.342660717f, - -0.938403534f, -0.345541325f, - -0.937339012f, -0.348418680f, - -0.936265667f, -0.351292756f, - -0.935183510f, -0.354163525f, - -0.934092550f, -0.357030961f, - -0.932992799f, -0.359895037f, - -0.931884266f, -0.362755724f, - -0.930766961f, -0.365612998f, - -0.929640896f, -0.368466830f, - -0.928506080f, -0.371317194f, - -0.927362526f, -0.374164063f, - -0.926210242f, -0.377007410f, - -0.925049241f, -0.379847209f, - -0.923879533f, -0.382683432f, - -0.922701128f, -0.385516054f, - -0.921514039f, -0.388345047f, - -0.920318277f, -0.391170384f, - -0.919113852f, -0.393992040f, - -0.917900776f, -0.396809987f, - -0.916679060f, -0.399624200f, - -0.915448716f, -0.402434651f, - -0.914209756f, -0.405241314f, - -0.912962190f, -0.408044163f, - -0.911706032f, -0.410843171f, - -0.910441292f, -0.413638312f, - -0.909167983f, -0.416429560f, - -0.907886116f, -0.419216888f, - -0.906595705f, -0.422000271f, - -0.905296759f, -0.424779681f, - -0.903989293f, -0.427555093f, - -0.902673318f, -0.430326481f, - -0.901348847f, -0.433093819f, - -0.900015892f, -0.435857080f, - -0.898674466f, -0.438616239f, - -0.897324581f, -0.441371269f, - -0.895966250f, -0.444122145f, - -0.894599486f, -0.446868840f, - -0.893224301f, -0.449611330f, - -0.891840709f, -0.452349587f, - -0.890448723f, -0.455083587f, - -0.889048356f, -0.457813304f, - -0.887639620f, -0.460538711f, - -0.886222530f, -0.463259784f, - -0.884797098f, -0.465976496f, - -0.883363339f, -0.468688822f, - -0.881921264f, -0.471396737f, - -0.880470889f, -0.474100215f, - -0.879012226f, -0.476799230f, - -0.877545290f, -0.479493758f, - -0.876070094f, -0.482183772f, - -0.874586652f, -0.484869248f, - -0.873094978f, -0.487550160f, - -0.871595087f, -0.490226483f, - -0.870086991f, -0.492898192f, - -0.868570706f, -0.495565262f, - -0.867046246f, -0.498227667f, - -0.865513624f, -0.500885383f, - -0.863972856f, -0.503538384f, - -0.862423956f, -0.506186645f, - -0.860866939f, -0.508830143f, - -0.859301818f, -0.511468850f, - -0.857728610f, -0.514102744f, - -0.856147328f, -0.516731799f, - -0.854557988f, -0.519355990f, - -0.852960605f, -0.521975293f, - -0.851355193f, -0.524589683f, - -0.849741768f, -0.527199135f, - -0.848120345f, -0.529803625f, - -0.846490939f, -0.532403128f, - -0.844853565f, -0.534997620f, - -0.843208240f, -0.537587076f, - -0.841554977f, -0.540171473f, - -0.839893794f, -0.542750785f, - -0.838224706f, -0.545324988f, - -0.836547727f, -0.547894059f, - -0.834862875f, -0.550457973f, - -0.833170165f, -0.553016706f, - -0.831469612f, -0.555570233f, - -0.829761234f, -0.558118531f, - -0.828045045f, -0.560661576f, - -0.826321063f, -0.563199344f, - -0.824589303f, -0.565731811f, - -0.822849781f, -0.568258953f, - -0.821102515f, -0.570780746f, - -0.819347520f, -0.573297167f, - -0.817584813f, -0.575808191f, - -0.815814411f, -0.578313796f, - -0.814036330f, -0.580813958f, - -0.812250587f, -0.583308653f, - -0.810457198f, -0.585797857f, - -0.808656182f, -0.588281548f, - -0.806847554f, -0.590759702f, - -0.805031331f, -0.593232295f, - -0.803207531f, -0.595699304f, - -0.801376172f, -0.598160707f, - -0.799537269f, -0.600616479f, - -0.797690841f, -0.603066599f, - -0.795836905f, -0.605511041f, - -0.793975478f, -0.607949785f, - -0.792106577f, -0.610382806f, - -0.790230221f, -0.612810082f, - -0.788346428f, -0.615231591f, - -0.786455214f, -0.617647308f, - -0.784556597f, -0.620057212f, - -0.782650596f, -0.622461279f, - -0.780737229f, -0.624859488f, - -0.778816512f, -0.627251815f, - -0.776888466f, -0.629638239f, - -0.774953107f, -0.632018736f, - -0.773010453f, -0.634393284f, - -0.771060524f, -0.636761861f, - -0.769103338f, -0.639124445f, - -0.767138912f, -0.641481013f, - -0.765167266f, -0.643831543f, - -0.763188417f, -0.646176013f, - -0.761202385f, -0.648514401f, - -0.759209189f, -0.650846685f, - -0.757208847f, -0.653172843f, - -0.755201377f, -0.655492853f, - -0.753186799f, -0.657806693f, - -0.751165132f, -0.660114342f, - -0.749136395f, -0.662415778f, - -0.747100606f, -0.664710978f, - -0.745057785f, -0.666999922f, - -0.743007952f, -0.669282588f, - -0.740951125f, -0.671558955f, - -0.738887324f, -0.673829000f, - -0.736816569f, -0.676092704f, - -0.734738878f, -0.678350043f, - -0.732654272f, -0.680600998f, - -0.730562769f, -0.682845546f, - -0.728464390f, -0.685083668f, - -0.726359155f, -0.687315341f, - -0.724247083f, -0.689540545f, - -0.722128194f, -0.691759258f, - -0.720002508f, -0.693971461f, - -0.717870045f, -0.696177131f, - -0.715730825f, -0.698376249f, - -0.713584869f, -0.700568794f, - -0.711432196f, -0.702754744f, - -0.709272826f, -0.704934080f, - -0.707106781f, -0.707106781f, - -0.704934080f, -0.709272826f, - -0.702754744f, -0.711432196f, - -0.700568794f, -0.713584869f, - -0.698376249f, -0.715730825f, - -0.696177131f, -0.717870045f, - -0.693971461f, -0.720002508f, - -0.691759258f, -0.722128194f, - -0.689540545f, -0.724247083f, - -0.687315341f, -0.726359155f, - -0.685083668f, -0.728464390f, - -0.682845546f, -0.730562769f, - -0.680600998f, -0.732654272f, - -0.678350043f, -0.734738878f, - -0.676092704f, -0.736816569f, - -0.673829000f, -0.738887324f, - -0.671558955f, -0.740951125f, - -0.669282588f, -0.743007952f, - -0.666999922f, -0.745057785f, - -0.664710978f, -0.747100606f, - -0.662415778f, -0.749136395f, - -0.660114342f, -0.751165132f, - -0.657806693f, -0.753186799f, - -0.655492853f, -0.755201377f, - -0.653172843f, -0.757208847f, - -0.650846685f, -0.759209189f, - -0.648514401f, -0.761202385f, - -0.646176013f, -0.763188417f, - -0.643831543f, -0.765167266f, - -0.641481013f, -0.767138912f, - -0.639124445f, -0.769103338f, - -0.636761861f, -0.771060524f, - -0.634393284f, -0.773010453f, - -0.632018736f, -0.774953107f, - -0.629638239f, -0.776888466f, - -0.627251815f, -0.778816512f, - -0.624859488f, -0.780737229f, - -0.622461279f, -0.782650596f, - -0.620057212f, -0.784556597f, - -0.617647308f, -0.786455214f, - -0.615231591f, -0.788346428f, - -0.612810082f, -0.790230221f, - -0.610382806f, -0.792106577f, - -0.607949785f, -0.793975478f, - -0.605511041f, -0.795836905f, - -0.603066599f, -0.797690841f, - -0.600616479f, -0.799537269f, - -0.598160707f, -0.801376172f, - -0.595699304f, -0.803207531f, - -0.593232295f, -0.805031331f, - -0.590759702f, -0.806847554f, - -0.588281548f, -0.808656182f, - -0.585797857f, -0.810457198f, - -0.583308653f, -0.812250587f, - -0.580813958f, -0.814036330f, - -0.578313796f, -0.815814411f, - -0.575808191f, -0.817584813f, - -0.573297167f, -0.819347520f, - -0.570780746f, -0.821102515f, - -0.568258953f, -0.822849781f, - -0.565731811f, -0.824589303f, - -0.563199344f, -0.826321063f, - -0.560661576f, -0.828045045f, - -0.558118531f, -0.829761234f, - -0.555570233f, -0.831469612f, - -0.553016706f, -0.833170165f, - -0.550457973f, -0.834862875f, - -0.547894059f, -0.836547727f, - -0.545324988f, -0.838224706f, - -0.542750785f, -0.839893794f, - -0.540171473f, -0.841554977f, - -0.537587076f, -0.843208240f, - -0.534997620f, -0.844853565f, - -0.532403128f, -0.846490939f, - -0.529803625f, -0.848120345f, - -0.527199135f, -0.849741768f, - -0.524589683f, -0.851355193f, - -0.521975293f, -0.852960605f, - -0.519355990f, -0.854557988f, - -0.516731799f, -0.856147328f, - -0.514102744f, -0.857728610f, - -0.511468850f, -0.859301818f, - -0.508830143f, -0.860866939f, - -0.506186645f, -0.862423956f, - -0.503538384f, -0.863972856f, - -0.500885383f, -0.865513624f, - -0.498227667f, -0.867046246f, - -0.495565262f, -0.868570706f, - -0.492898192f, -0.870086991f, - -0.490226483f, -0.871595087f, - -0.487550160f, -0.873094978f, - -0.484869248f, -0.874586652f, - -0.482183772f, -0.876070094f, - -0.479493758f, -0.877545290f, - -0.476799230f, -0.879012226f, - -0.474100215f, -0.880470889f, - -0.471396737f, -0.881921264f, - -0.468688822f, -0.883363339f, - -0.465976496f, -0.884797098f, - -0.463259784f, -0.886222530f, - -0.460538711f, -0.887639620f, - -0.457813304f, -0.889048356f, - -0.455083587f, -0.890448723f, - -0.452349587f, -0.891840709f, - -0.449611330f, -0.893224301f, - -0.446868840f, -0.894599486f, - -0.444122145f, -0.895966250f, - -0.441371269f, -0.897324581f, - -0.438616239f, -0.898674466f, - -0.435857080f, -0.900015892f, - -0.433093819f, -0.901348847f, - -0.430326481f, -0.902673318f, - -0.427555093f, -0.903989293f, - -0.424779681f, -0.905296759f, - -0.422000271f, -0.906595705f, - -0.419216888f, -0.907886116f, - -0.416429560f, -0.909167983f, - -0.413638312f, -0.910441292f, - -0.410843171f, -0.911706032f, - -0.408044163f, -0.912962190f, - -0.405241314f, -0.914209756f, - -0.402434651f, -0.915448716f, - -0.399624200f, -0.916679060f, - -0.396809987f, -0.917900776f, - -0.393992040f, -0.919113852f, - -0.391170384f, -0.920318277f, - -0.388345047f, -0.921514039f, - -0.385516054f, -0.922701128f, - -0.382683432f, -0.923879533f, - -0.379847209f, -0.925049241f, - -0.377007410f, -0.926210242f, - -0.374164063f, -0.927362526f, - -0.371317194f, -0.928506080f, - -0.368466830f, -0.929640896f, - -0.365612998f, -0.930766961f, - -0.362755724f, -0.931884266f, - -0.359895037f, -0.932992799f, - -0.357030961f, -0.934092550f, - -0.354163525f, -0.935183510f, - -0.351292756f, -0.936265667f, - -0.348418680f, -0.937339012f, - -0.345541325f, -0.938403534f, - -0.342660717f, -0.939459224f, - -0.339776884f, -0.940506071f, - -0.336889853f, -0.941544065f, - -0.333999651f, -0.942573198f, - -0.331106306f, -0.943593458f, - -0.328209844f, -0.944604837f, - -0.325310292f, -0.945607325f, - -0.322407679f, -0.946600913f, - -0.319502031f, -0.947585591f, - -0.316593376f, -0.948561350f, - -0.313681740f, -0.949528181f, - -0.310767153f, -0.950486074f, - -0.307849640f, -0.951435021f, - -0.304929230f, -0.952375013f, - -0.302005949f, -0.953306040f, - -0.299079826f, -0.954228095f, - -0.296150888f, -0.955141168f, - -0.293219163f, -0.956045251f, - -0.290284677f, -0.956940336f, - -0.287347460f, -0.957826413f, - -0.284407537f, -0.958703475f, - -0.281464938f, -0.959571513f, - -0.278519689f, -0.960430519f, - -0.275571819f, -0.961280486f, - -0.272621355f, -0.962121404f, - -0.269668326f, -0.962953267f, - -0.266712757f, -0.963776066f, - -0.263754679f, -0.964589793f, - -0.260794118f, -0.965394442f, - -0.257831102f, -0.966190003f, - -0.254865660f, -0.966976471f, - -0.251897818f, -0.967753837f, - -0.248927606f, -0.968522094f, - -0.245955050f, -0.969281235f, - -0.242980180f, -0.970031253f, - -0.240003022f, -0.970772141f, - -0.237023606f, -0.971503891f, - -0.234041959f, -0.972226497f, - -0.231058108f, -0.972939952f, - -0.228072083f, -0.973644250f, - -0.225083911f, -0.974339383f, - -0.222093621f, -0.975025345f, - -0.219101240f, -0.975702130f, - -0.216106797f, -0.976369731f, - -0.213110320f, -0.977028143f, - -0.210111837f, -0.977677358f, - -0.207111376f, -0.978317371f, - -0.204108966f, -0.978948175f, - -0.201104635f, -0.979569766f, - -0.198098411f, -0.980182136f, - -0.195090322f, -0.980785280f, - -0.192080397f, -0.981379193f, - -0.189068664f, -0.981963869f, - -0.186055152f, -0.982539302f, - -0.183039888f, -0.983105487f, - -0.180022901f, -0.983662419f, - -0.177004220f, -0.984210092f, - -0.173983873f, -0.984748502f, - -0.170961889f, -0.985277642f, - -0.167938295f, -0.985797509f, - -0.164913120f, -0.986308097f, - -0.161886394f, -0.986809402f, - -0.158858143f, -0.987301418f, - -0.155828398f, -0.987784142f, - -0.152797185f, -0.988257568f, - -0.149764535f, -0.988721692f, - -0.146730474f, -0.989176510f, - -0.143695033f, -0.989622017f, - -0.140658239f, -0.990058210f, - -0.137620122f, -0.990485084f, - -0.134580709f, -0.990902635f, - -0.131540029f, -0.991310860f, - -0.128498111f, -0.991709754f, - -0.125454983f, -0.992099313f, - -0.122410675f, -0.992479535f, - -0.119365215f, -0.992850414f, - -0.116318631f, -0.993211949f, - -0.113270952f, -0.993564136f, - -0.110222207f, -0.993906970f, - -0.107172425f, -0.994240449f, - -0.104121634f, -0.994564571f, - -0.101069863f, -0.994879331f, - -0.098017140f, -0.995184727f, - -0.094963495f, -0.995480755f, - -0.091908956f, -0.995767414f, - -0.088853553f, -0.996044701f, - -0.085797312f, -0.996312612f, - -0.082740265f, -0.996571146f, - -0.079682438f, -0.996820299f, - -0.076623861f, -0.997060070f, - -0.073564564f, -0.997290457f, - -0.070504573f, -0.997511456f, - -0.067443920f, -0.997723067f, - -0.064382631f, -0.997925286f, - -0.061320736f, -0.998118113f, - -0.058258265f, -0.998301545f, - -0.055195244f, -0.998475581f, - -0.052131705f, -0.998640218f, - -0.049067674f, -0.998795456f, - -0.046003182f, -0.998941293f, - -0.042938257f, -0.999077728f, - -0.039872928f, -0.999204759f, - -0.036807223f, -0.999322385f, - -0.033741172f, -0.999430605f, - -0.030674803f, -0.999529418f, - -0.027608146f, -0.999618822f, - -0.024541229f, -0.999698819f, - -0.021474080f, -0.999769405f, - -0.018406730f, -0.999830582f, - -0.015339206f, -0.999882347f, - -0.012271538f, -0.999924702f, - -0.009203755f, -0.999957645f, - -0.006135885f, -0.999981175f, - -0.003067957f, -0.999995294f, - -0.000000000f, -1.000000000f, - 0.003067957f, -0.999995294f, - 0.006135885f, -0.999981175f, - 0.009203755f, -0.999957645f, - 0.012271538f, -0.999924702f, - 0.015339206f, -0.999882347f, - 0.018406730f, -0.999830582f, - 0.021474080f, -0.999769405f, - 0.024541229f, -0.999698819f, - 0.027608146f, -0.999618822f, - 0.030674803f, -0.999529418f, - 0.033741172f, -0.999430605f, - 0.036807223f, -0.999322385f, - 0.039872928f, -0.999204759f, - 0.042938257f, -0.999077728f, - 0.046003182f, -0.998941293f, - 0.049067674f, -0.998795456f, - 0.052131705f, -0.998640218f, - 0.055195244f, -0.998475581f, - 0.058258265f, -0.998301545f, - 0.061320736f, -0.998118113f, - 0.064382631f, -0.997925286f, - 0.067443920f, -0.997723067f, - 0.070504573f, -0.997511456f, - 0.073564564f, -0.997290457f, - 0.076623861f, -0.997060070f, - 0.079682438f, -0.996820299f, - 0.082740265f, -0.996571146f, - 0.085797312f, -0.996312612f, - 0.088853553f, -0.996044701f, - 0.091908956f, -0.995767414f, - 0.094963495f, -0.995480755f, - 0.098017140f, -0.995184727f, - 0.101069863f, -0.994879331f, - 0.104121634f, -0.994564571f, - 0.107172425f, -0.994240449f, - 0.110222207f, -0.993906970f, - 0.113270952f, -0.993564136f, - 0.116318631f, -0.993211949f, - 0.119365215f, -0.992850414f, - 0.122410675f, -0.992479535f, - 0.125454983f, -0.992099313f, - 0.128498111f, -0.991709754f, - 0.131540029f, -0.991310860f, - 0.134580709f, -0.990902635f, - 0.137620122f, -0.990485084f, - 0.140658239f, -0.990058210f, - 0.143695033f, -0.989622017f, - 0.146730474f, -0.989176510f, - 0.149764535f, -0.988721692f, - 0.152797185f, -0.988257568f, - 0.155828398f, -0.987784142f, - 0.158858143f, -0.987301418f, - 0.161886394f, -0.986809402f, - 0.164913120f, -0.986308097f, - 0.167938295f, -0.985797509f, - 0.170961889f, -0.985277642f, - 0.173983873f, -0.984748502f, - 0.177004220f, -0.984210092f, - 0.180022901f, -0.983662419f, - 0.183039888f, -0.983105487f, - 0.186055152f, -0.982539302f, - 0.189068664f, -0.981963869f, - 0.192080397f, -0.981379193f, - 0.195090322f, -0.980785280f, - 0.198098411f, -0.980182136f, - 0.201104635f, -0.979569766f, - 0.204108966f, -0.978948175f, - 0.207111376f, -0.978317371f, - 0.210111837f, -0.977677358f, - 0.213110320f, -0.977028143f, - 0.216106797f, -0.976369731f, - 0.219101240f, -0.975702130f, - 0.222093621f, -0.975025345f, - 0.225083911f, -0.974339383f, - 0.228072083f, -0.973644250f, - 0.231058108f, -0.972939952f, - 0.234041959f, -0.972226497f, - 0.237023606f, -0.971503891f, - 0.240003022f, -0.970772141f, - 0.242980180f, -0.970031253f, - 0.245955050f, -0.969281235f, - 0.248927606f, -0.968522094f, - 0.251897818f, -0.967753837f, - 0.254865660f, -0.966976471f, - 0.257831102f, -0.966190003f, - 0.260794118f, -0.965394442f, - 0.263754679f, -0.964589793f, - 0.266712757f, -0.963776066f, - 0.269668326f, -0.962953267f, - 0.272621355f, -0.962121404f, - 0.275571819f, -0.961280486f, - 0.278519689f, -0.960430519f, - 0.281464938f, -0.959571513f, - 0.284407537f, -0.958703475f, - 0.287347460f, -0.957826413f, - 0.290284677f, -0.956940336f, - 0.293219163f, -0.956045251f, - 0.296150888f, -0.955141168f, - 0.299079826f, -0.954228095f, - 0.302005949f, -0.953306040f, - 0.304929230f, -0.952375013f, - 0.307849640f, -0.951435021f, - 0.310767153f, -0.950486074f, - 0.313681740f, -0.949528181f, - 0.316593376f, -0.948561350f, - 0.319502031f, -0.947585591f, - 0.322407679f, -0.946600913f, - 0.325310292f, -0.945607325f, - 0.328209844f, -0.944604837f, - 0.331106306f, -0.943593458f, - 0.333999651f, -0.942573198f, - 0.336889853f, -0.941544065f, - 0.339776884f, -0.940506071f, - 0.342660717f, -0.939459224f, - 0.345541325f, -0.938403534f, - 0.348418680f, -0.937339012f, - 0.351292756f, -0.936265667f, - 0.354163525f, -0.935183510f, - 0.357030961f, -0.934092550f, - 0.359895037f, -0.932992799f, - 0.362755724f, -0.931884266f, - 0.365612998f, -0.930766961f, - 0.368466830f, -0.929640896f, - 0.371317194f, -0.928506080f, - 0.374164063f, -0.927362526f, - 0.377007410f, -0.926210242f, - 0.379847209f, -0.925049241f, - 0.382683432f, -0.923879533f, - 0.385516054f, -0.922701128f, - 0.388345047f, -0.921514039f, - 0.391170384f, -0.920318277f, - 0.393992040f, -0.919113852f, - 0.396809987f, -0.917900776f, - 0.399624200f, -0.916679060f, - 0.402434651f, -0.915448716f, - 0.405241314f, -0.914209756f, - 0.408044163f, -0.912962190f, - 0.410843171f, -0.911706032f, - 0.413638312f, -0.910441292f, - 0.416429560f, -0.909167983f, - 0.419216888f, -0.907886116f, - 0.422000271f, -0.906595705f, - 0.424779681f, -0.905296759f, - 0.427555093f, -0.903989293f, - 0.430326481f, -0.902673318f, - 0.433093819f, -0.901348847f, - 0.435857080f, -0.900015892f, - 0.438616239f, -0.898674466f, - 0.441371269f, -0.897324581f, - 0.444122145f, -0.895966250f, - 0.446868840f, -0.894599486f, - 0.449611330f, -0.893224301f, - 0.452349587f, -0.891840709f, - 0.455083587f, -0.890448723f, - 0.457813304f, -0.889048356f, - 0.460538711f, -0.887639620f, - 0.463259784f, -0.886222530f, - 0.465976496f, -0.884797098f, - 0.468688822f, -0.883363339f, - 0.471396737f, -0.881921264f, - 0.474100215f, -0.880470889f, - 0.476799230f, -0.879012226f, - 0.479493758f, -0.877545290f, - 0.482183772f, -0.876070094f, - 0.484869248f, -0.874586652f, - 0.487550160f, -0.873094978f, - 0.490226483f, -0.871595087f, - 0.492898192f, -0.870086991f, - 0.495565262f, -0.868570706f, - 0.498227667f, -0.867046246f, - 0.500885383f, -0.865513624f, - 0.503538384f, -0.863972856f, - 0.506186645f, -0.862423956f, - 0.508830143f, -0.860866939f, - 0.511468850f, -0.859301818f, - 0.514102744f, -0.857728610f, - 0.516731799f, -0.856147328f, - 0.519355990f, -0.854557988f, - 0.521975293f, -0.852960605f, - 0.524589683f, -0.851355193f, - 0.527199135f, -0.849741768f, - 0.529803625f, -0.848120345f, - 0.532403128f, -0.846490939f, - 0.534997620f, -0.844853565f, - 0.537587076f, -0.843208240f, - 0.540171473f, -0.841554977f, - 0.542750785f, -0.839893794f, - 0.545324988f, -0.838224706f, - 0.547894059f, -0.836547727f, - 0.550457973f, -0.834862875f, - 0.553016706f, -0.833170165f, - 0.555570233f, -0.831469612f, - 0.558118531f, -0.829761234f, - 0.560661576f, -0.828045045f, - 0.563199344f, -0.826321063f, - 0.565731811f, -0.824589303f, - 0.568258953f, -0.822849781f, - 0.570780746f, -0.821102515f, - 0.573297167f, -0.819347520f, - 0.575808191f, -0.817584813f, - 0.578313796f, -0.815814411f, - 0.580813958f, -0.814036330f, - 0.583308653f, -0.812250587f, - 0.585797857f, -0.810457198f, - 0.588281548f, -0.808656182f, - 0.590759702f, -0.806847554f, - 0.593232295f, -0.805031331f, - 0.595699304f, -0.803207531f, - 0.598160707f, -0.801376172f, - 0.600616479f, -0.799537269f, - 0.603066599f, -0.797690841f, - 0.605511041f, -0.795836905f, - 0.607949785f, -0.793975478f, - 0.610382806f, -0.792106577f, - 0.612810082f, -0.790230221f, - 0.615231591f, -0.788346428f, - 0.617647308f, -0.786455214f, - 0.620057212f, -0.784556597f, - 0.622461279f, -0.782650596f, - 0.624859488f, -0.780737229f, - 0.627251815f, -0.778816512f, - 0.629638239f, -0.776888466f, - 0.632018736f, -0.774953107f, - 0.634393284f, -0.773010453f, - 0.636761861f, -0.771060524f, - 0.639124445f, -0.769103338f, - 0.641481013f, -0.767138912f, - 0.643831543f, -0.765167266f, - 0.646176013f, -0.763188417f, - 0.648514401f, -0.761202385f, - 0.650846685f, -0.759209189f, - 0.653172843f, -0.757208847f, - 0.655492853f, -0.755201377f, - 0.657806693f, -0.753186799f, - 0.660114342f, -0.751165132f, - 0.662415778f, -0.749136395f, - 0.664710978f, -0.747100606f, - 0.666999922f, -0.745057785f, - 0.669282588f, -0.743007952f, - 0.671558955f, -0.740951125f, - 0.673829000f, -0.738887324f, - 0.676092704f, -0.736816569f, - 0.678350043f, -0.734738878f, - 0.680600998f, -0.732654272f, - 0.682845546f, -0.730562769f, - 0.685083668f, -0.728464390f, - 0.687315341f, -0.726359155f, - 0.689540545f, -0.724247083f, - 0.691759258f, -0.722128194f, - 0.693971461f, -0.720002508f, - 0.696177131f, -0.717870045f, - 0.698376249f, -0.715730825f, - 0.700568794f, -0.713584869f, - 0.702754744f, -0.711432196f, - 0.704934080f, -0.709272826f, - 0.707106781f, -0.707106781f, - 0.709272826f, -0.704934080f, - 0.711432196f, -0.702754744f, - 0.713584869f, -0.700568794f, - 0.715730825f, -0.698376249f, - 0.717870045f, -0.696177131f, - 0.720002508f, -0.693971461f, - 0.722128194f, -0.691759258f, - 0.724247083f, -0.689540545f, - 0.726359155f, -0.687315341f, - 0.728464390f, -0.685083668f, - 0.730562769f, -0.682845546f, - 0.732654272f, -0.680600998f, - 0.734738878f, -0.678350043f, - 0.736816569f, -0.676092704f, - 0.738887324f, -0.673829000f, - 0.740951125f, -0.671558955f, - 0.743007952f, -0.669282588f, - 0.745057785f, -0.666999922f, - 0.747100606f, -0.664710978f, - 0.749136395f, -0.662415778f, - 0.751165132f, -0.660114342f, - 0.753186799f, -0.657806693f, - 0.755201377f, -0.655492853f, - 0.757208847f, -0.653172843f, - 0.759209189f, -0.650846685f, - 0.761202385f, -0.648514401f, - 0.763188417f, -0.646176013f, - 0.765167266f, -0.643831543f, - 0.767138912f, -0.641481013f, - 0.769103338f, -0.639124445f, - 0.771060524f, -0.636761861f, - 0.773010453f, -0.634393284f, - 0.774953107f, -0.632018736f, - 0.776888466f, -0.629638239f, - 0.778816512f, -0.627251815f, - 0.780737229f, -0.624859488f, - 0.782650596f, -0.622461279f, - 0.784556597f, -0.620057212f, - 0.786455214f, -0.617647308f, - 0.788346428f, -0.615231591f, - 0.790230221f, -0.612810082f, - 0.792106577f, -0.610382806f, - 0.793975478f, -0.607949785f, - 0.795836905f, -0.605511041f, - 0.797690841f, -0.603066599f, - 0.799537269f, -0.600616479f, - 0.801376172f, -0.598160707f, - 0.803207531f, -0.595699304f, - 0.805031331f, -0.593232295f, - 0.806847554f, -0.590759702f, - 0.808656182f, -0.588281548f, - 0.810457198f, -0.585797857f, - 0.812250587f, -0.583308653f, - 0.814036330f, -0.580813958f, - 0.815814411f, -0.578313796f, - 0.817584813f, -0.575808191f, - 0.819347520f, -0.573297167f, - 0.821102515f, -0.570780746f, - 0.822849781f, -0.568258953f, - 0.824589303f, -0.565731811f, - 0.826321063f, -0.563199344f, - 0.828045045f, -0.560661576f, - 0.829761234f, -0.558118531f, - 0.831469612f, -0.555570233f, - 0.833170165f, -0.553016706f, - 0.834862875f, -0.550457973f, - 0.836547727f, -0.547894059f, - 0.838224706f, -0.545324988f, - 0.839893794f, -0.542750785f, - 0.841554977f, -0.540171473f, - 0.843208240f, -0.537587076f, - 0.844853565f, -0.534997620f, - 0.846490939f, -0.532403128f, - 0.848120345f, -0.529803625f, - 0.849741768f, -0.527199135f, - 0.851355193f, -0.524589683f, - 0.852960605f, -0.521975293f, - 0.854557988f, -0.519355990f, - 0.856147328f, -0.516731799f, - 0.857728610f, -0.514102744f, - 0.859301818f, -0.511468850f, - 0.860866939f, -0.508830143f, - 0.862423956f, -0.506186645f, - 0.863972856f, -0.503538384f, - 0.865513624f, -0.500885383f, - 0.867046246f, -0.498227667f, - 0.868570706f, -0.495565262f, - 0.870086991f, -0.492898192f, - 0.871595087f, -0.490226483f, - 0.873094978f, -0.487550160f, - 0.874586652f, -0.484869248f, - 0.876070094f, -0.482183772f, - 0.877545290f, -0.479493758f, - 0.879012226f, -0.476799230f, - 0.880470889f, -0.474100215f, - 0.881921264f, -0.471396737f, - 0.883363339f, -0.468688822f, - 0.884797098f, -0.465976496f, - 0.886222530f, -0.463259784f, - 0.887639620f, -0.460538711f, - 0.889048356f, -0.457813304f, - 0.890448723f, -0.455083587f, - 0.891840709f, -0.452349587f, - 0.893224301f, -0.449611330f, - 0.894599486f, -0.446868840f, - 0.895966250f, -0.444122145f, - 0.897324581f, -0.441371269f, - 0.898674466f, -0.438616239f, - 0.900015892f, -0.435857080f, - 0.901348847f, -0.433093819f, - 0.902673318f, -0.430326481f, - 0.903989293f, -0.427555093f, - 0.905296759f, -0.424779681f, - 0.906595705f, -0.422000271f, - 0.907886116f, -0.419216888f, - 0.909167983f, -0.416429560f, - 0.910441292f, -0.413638312f, - 0.911706032f, -0.410843171f, - 0.912962190f, -0.408044163f, - 0.914209756f, -0.405241314f, - 0.915448716f, -0.402434651f, - 0.916679060f, -0.399624200f, - 0.917900776f, -0.396809987f, - 0.919113852f, -0.393992040f, - 0.920318277f, -0.391170384f, - 0.921514039f, -0.388345047f, - 0.922701128f, -0.385516054f, - 0.923879533f, -0.382683432f, - 0.925049241f, -0.379847209f, - 0.926210242f, -0.377007410f, - 0.927362526f, -0.374164063f, - 0.928506080f, -0.371317194f, - 0.929640896f, -0.368466830f, - 0.930766961f, -0.365612998f, - 0.931884266f, -0.362755724f, - 0.932992799f, -0.359895037f, - 0.934092550f, -0.357030961f, - 0.935183510f, -0.354163525f, - 0.936265667f, -0.351292756f, - 0.937339012f, -0.348418680f, - 0.938403534f, -0.345541325f, - 0.939459224f, -0.342660717f, - 0.940506071f, -0.339776884f, - 0.941544065f, -0.336889853f, - 0.942573198f, -0.333999651f, - 0.943593458f, -0.331106306f, - 0.944604837f, -0.328209844f, - 0.945607325f, -0.325310292f, - 0.946600913f, -0.322407679f, - 0.947585591f, -0.319502031f, - 0.948561350f, -0.316593376f, - 0.949528181f, -0.313681740f, - 0.950486074f, -0.310767153f, - 0.951435021f, -0.307849640f, - 0.952375013f, -0.304929230f, - 0.953306040f, -0.302005949f, - 0.954228095f, -0.299079826f, - 0.955141168f, -0.296150888f, - 0.956045251f, -0.293219163f, - 0.956940336f, -0.290284677f, - 0.957826413f, -0.287347460f, - 0.958703475f, -0.284407537f, - 0.959571513f, -0.281464938f, - 0.960430519f, -0.278519689f, - 0.961280486f, -0.275571819f, - 0.962121404f, -0.272621355f, - 0.962953267f, -0.269668326f, - 0.963776066f, -0.266712757f, - 0.964589793f, -0.263754679f, - 0.965394442f, -0.260794118f, - 0.966190003f, -0.257831102f, - 0.966976471f, -0.254865660f, - 0.967753837f, -0.251897818f, - 0.968522094f, -0.248927606f, - 0.969281235f, -0.245955050f, - 0.970031253f, -0.242980180f, - 0.970772141f, -0.240003022f, - 0.971503891f, -0.237023606f, - 0.972226497f, -0.234041959f, - 0.972939952f, -0.231058108f, - 0.973644250f, -0.228072083f, - 0.974339383f, -0.225083911f, - 0.975025345f, -0.222093621f, - 0.975702130f, -0.219101240f, - 0.976369731f, -0.216106797f, - 0.977028143f, -0.213110320f, - 0.977677358f, -0.210111837f, - 0.978317371f, -0.207111376f, - 0.978948175f, -0.204108966f, - 0.979569766f, -0.201104635f, - 0.980182136f, -0.198098411f, - 0.980785280f, -0.195090322f, - 0.981379193f, -0.192080397f, - 0.981963869f, -0.189068664f, - 0.982539302f, -0.186055152f, - 0.983105487f, -0.183039888f, - 0.983662419f, -0.180022901f, - 0.984210092f, -0.177004220f, - 0.984748502f, -0.173983873f, - 0.985277642f, -0.170961889f, - 0.985797509f, -0.167938295f, - 0.986308097f, -0.164913120f, - 0.986809402f, -0.161886394f, - 0.987301418f, -0.158858143f, - 0.987784142f, -0.155828398f, - 0.988257568f, -0.152797185f, - 0.988721692f, -0.149764535f, - 0.989176510f, -0.146730474f, - 0.989622017f, -0.143695033f, - 0.990058210f, -0.140658239f, - 0.990485084f, -0.137620122f, - 0.990902635f, -0.134580709f, - 0.991310860f, -0.131540029f, - 0.991709754f, -0.128498111f, - 0.992099313f, -0.125454983f, - 0.992479535f, -0.122410675f, - 0.992850414f, -0.119365215f, - 0.993211949f, -0.116318631f, - 0.993564136f, -0.113270952f, - 0.993906970f, -0.110222207f, - 0.994240449f, -0.107172425f, - 0.994564571f, -0.104121634f, - 0.994879331f, -0.101069863f, - 0.995184727f, -0.098017140f, - 0.995480755f, -0.094963495f, - 0.995767414f, -0.091908956f, - 0.996044701f, -0.088853553f, - 0.996312612f, -0.085797312f, - 0.996571146f, -0.082740265f, - 0.996820299f, -0.079682438f, - 0.997060070f, -0.076623861f, - 0.997290457f, -0.073564564f, - 0.997511456f, -0.070504573f, - 0.997723067f, -0.067443920f, - 0.997925286f, -0.064382631f, - 0.998118113f, -0.061320736f, - 0.998301545f, -0.058258265f, - 0.998475581f, -0.055195244f, - 0.998640218f, -0.052131705f, - 0.998795456f, -0.049067674f, - 0.998941293f, -0.046003182f, - 0.999077728f, -0.042938257f, - 0.999204759f, -0.039872928f, - 0.999322385f, -0.036807223f, - 0.999430605f, -0.033741172f, - 0.999529418f, -0.030674803f, - 0.999618822f, -0.027608146f, - 0.999698819f, -0.024541229f, - 0.999769405f, -0.021474080f, - 0.999830582f, -0.018406730f, - 0.999882347f, -0.015339206f, - 0.999924702f, -0.012271538f, - 0.999957645f, -0.009203755f, - 0.999981175f, -0.006135885f, - 0.999995294f, -0.003067957f -}; - -/** -* \par -* Example code for Floating-point Twiddle factors Generation: -* \par -* <pre>for(i = 0; i< N/; i++) -* { -* twiddleCoef[2*i]= cos(i * 2*PI/(float)N); -* twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); -* } </pre> -* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are in interleaved fashion -* -*/ -const float32_t twiddleCoef_4096[8192] = { - 1.000000000f, 0.000000000f, - 0.999998823f, 0.001533980f, - 0.999995294f, 0.003067957f, - 0.999989411f, 0.004601926f, - 0.999981175f, 0.006135885f, - 0.999970586f, 0.007669829f, - 0.999957645f, 0.009203755f, - 0.999942350f, 0.010737659f, - 0.999924702f, 0.012271538f, - 0.999904701f, 0.013805389f, - 0.999882347f, 0.015339206f, - 0.999857641f, 0.016872988f, - 0.999830582f, 0.018406730f, - 0.999801170f, 0.019940429f, - 0.999769405f, 0.021474080f, - 0.999735288f, 0.023007681f, - 0.999698819f, 0.024541229f, - 0.999659997f, 0.026074718f, - 0.999618822f, 0.027608146f, - 0.999575296f, 0.029141509f, - 0.999529418f, 0.030674803f, - 0.999481187f, 0.032208025f, - 0.999430605f, 0.033741172f, - 0.999377670f, 0.035274239f, - 0.999322385f, 0.036807223f, - 0.999264747f, 0.038340120f, - 0.999204759f, 0.039872928f, - 0.999142419f, 0.041405641f, - 0.999077728f, 0.042938257f, - 0.999010686f, 0.044470772f, - 0.998941293f, 0.046003182f, - 0.998869550f, 0.047535484f, - 0.998795456f, 0.049067674f, - 0.998719012f, 0.050599749f, - 0.998640218f, 0.052131705f, - 0.998559074f, 0.053663538f, - 0.998475581f, 0.055195244f, - 0.998389737f, 0.056726821f, - 0.998301545f, 0.058258265f, - 0.998211003f, 0.059789571f, - 0.998118113f, 0.061320736f, - 0.998022874f, 0.062851758f, - 0.997925286f, 0.064382631f, - 0.997825350f, 0.065913353f, - 0.997723067f, 0.067443920f, - 0.997618435f, 0.068974328f, - 0.997511456f, 0.070504573f, - 0.997402130f, 0.072034653f, - 0.997290457f, 0.073564564f, - 0.997176437f, 0.075094301f, - 0.997060070f, 0.076623861f, - 0.996941358f, 0.078153242f, - 0.996820299f, 0.079682438f, - 0.996696895f, 0.081211447f, - 0.996571146f, 0.082740265f, - 0.996443051f, 0.084268888f, - 0.996312612f, 0.085797312f, - 0.996179829f, 0.087325535f, - 0.996044701f, 0.088853553f, - 0.995907229f, 0.090381361f, - 0.995767414f, 0.091908956f, - 0.995625256f, 0.093436336f, - 0.995480755f, 0.094963495f, - 0.995333912f, 0.096490431f, - 0.995184727f, 0.098017140f, - 0.995033199f, 0.099543619f, - 0.994879331f, 0.101069863f, - 0.994723121f, 0.102595869f, - 0.994564571f, 0.104121634f, - 0.994403680f, 0.105647154f, - 0.994240449f, 0.107172425f, - 0.994074879f, 0.108697444f, - 0.993906970f, 0.110222207f, - 0.993736722f, 0.111746711f, - 0.993564136f, 0.113270952f, - 0.993389211f, 0.114794927f, - 0.993211949f, 0.116318631f, - 0.993032350f, 0.117842062f, - 0.992850414f, 0.119365215f, - 0.992666142f, 0.120888087f, - 0.992479535f, 0.122410675f, - 0.992290591f, 0.123932975f, - 0.992099313f, 0.125454983f, - 0.991905700f, 0.126976696f, - 0.991709754f, 0.128498111f, - 0.991511473f, 0.130019223f, - 0.991310860f, 0.131540029f, - 0.991107914f, 0.133060525f, - 0.990902635f, 0.134580709f, - 0.990695025f, 0.136100575f, - 0.990485084f, 0.137620122f, - 0.990272812f, 0.139139344f, - 0.990058210f, 0.140658239f, - 0.989841278f, 0.142176804f, - 0.989622017f, 0.143695033f, - 0.989400428f, 0.145212925f, - 0.989176510f, 0.146730474f, - 0.988950265f, 0.148247679f, - 0.988721692f, 0.149764535f, - 0.988490793f, 0.151281038f, - 0.988257568f, 0.152797185f, - 0.988022017f, 0.154312973f, - 0.987784142f, 0.155828398f, - 0.987543942f, 0.157343456f, - 0.987301418f, 0.158858143f, - 0.987056571f, 0.160372457f, - 0.986809402f, 0.161886394f, - 0.986559910f, 0.163399949f, - 0.986308097f, 0.164913120f, - 0.986053963f, 0.166425904f, - 0.985797509f, 0.167938295f, - 0.985538735f, 0.169450291f, - 0.985277642f, 0.170961889f, - 0.985014231f, 0.172473084f, - 0.984748502f, 0.173983873f, - 0.984480455f, 0.175494253f, - 0.984210092f, 0.177004220f, - 0.983937413f, 0.178513771f, - 0.983662419f, 0.180022901f, - 0.983385110f, 0.181531608f, - 0.983105487f, 0.183039888f, - 0.982823551f, 0.184547737f, - 0.982539302f, 0.186055152f, - 0.982252741f, 0.187562129f, - 0.981963869f, 0.189068664f, - 0.981672686f, 0.190574755f, - 0.981379193f, 0.192080397f, - 0.981083391f, 0.193585587f, - 0.980785280f, 0.195090322f, - 0.980484862f, 0.196594598f, - 0.980182136f, 0.198098411f, - 0.979877104f, 0.199601758f, - 0.979569766f, 0.201104635f, - 0.979260123f, 0.202607039f, - 0.978948175f, 0.204108966f, - 0.978633924f, 0.205610413f, - 0.978317371f, 0.207111376f, - 0.977998515f, 0.208611852f, - 0.977677358f, 0.210111837f, - 0.977353900f, 0.211611327f, - 0.977028143f, 0.213110320f, - 0.976700086f, 0.214608811f, - 0.976369731f, 0.216106797f, - 0.976037079f, 0.217604275f, - 0.975702130f, 0.219101240f, - 0.975364885f, 0.220597690f, - 0.975025345f, 0.222093621f, - 0.974683511f, 0.223589029f, - 0.974339383f, 0.225083911f, - 0.973992962f, 0.226578264f, - 0.973644250f, 0.228072083f, - 0.973293246f, 0.229565366f, - 0.972939952f, 0.231058108f, - 0.972584369f, 0.232550307f, - 0.972226497f, 0.234041959f, - 0.971866337f, 0.235533059f, - 0.971503891f, 0.237023606f, - 0.971139158f, 0.238513595f, - 0.970772141f, 0.240003022f, - 0.970402839f, 0.241491885f, - 0.970031253f, 0.242980180f, - 0.969657385f, 0.244467903f, - 0.969281235f, 0.245955050f, - 0.968902805f, 0.247441619f, - 0.968522094f, 0.248927606f, - 0.968139105f, 0.250413007f, - 0.967753837f, 0.251897818f, - 0.967366292f, 0.253382037f, - 0.966976471f, 0.254865660f, - 0.966584374f, 0.256348682f, - 0.966190003f, 0.257831102f, - 0.965793359f, 0.259312915f, - 0.965394442f, 0.260794118f, - 0.964993253f, 0.262274707f, - 0.964589793f, 0.263754679f, - 0.964184064f, 0.265234030f, - 0.963776066f, 0.266712757f, - 0.963365800f, 0.268190857f, - 0.962953267f, 0.269668326f, - 0.962538468f, 0.271145160f, - 0.962121404f, 0.272621355f, - 0.961702077f, 0.274096910f, - 0.961280486f, 0.275571819f, - 0.960856633f, 0.277046080f, - 0.960430519f, 0.278519689f, - 0.960002146f, 0.279992643f, - 0.959571513f, 0.281464938f, - 0.959138622f, 0.282936570f, - 0.958703475f, 0.284407537f, - 0.958266071f, 0.285877835f, - 0.957826413f, 0.287347460f, - 0.957384501f, 0.288816408f, - 0.956940336f, 0.290284677f, - 0.956493919f, 0.291752263f, - 0.956045251f, 0.293219163f, - 0.955594334f, 0.294685372f, - 0.955141168f, 0.296150888f, - 0.954685755f, 0.297615707f, - 0.954228095f, 0.299079826f, - 0.953768190f, 0.300543241f, - 0.953306040f, 0.302005949f, - 0.952841648f, 0.303467947f, - 0.952375013f, 0.304929230f, - 0.951906137f, 0.306389795f, - 0.951435021f, 0.307849640f, - 0.950961666f, 0.309308760f, - 0.950486074f, 0.310767153f, - 0.950008245f, 0.312224814f, - 0.949528181f, 0.313681740f, - 0.949045882f, 0.315137929f, - 0.948561350f, 0.316593376f, - 0.948074586f, 0.318048077f, - 0.947585591f, 0.319502031f, - 0.947094366f, 0.320955232f, - 0.946600913f, 0.322407679f, - 0.946105232f, 0.323859367f, - 0.945607325f, 0.325310292f, - 0.945107193f, 0.326760452f, - 0.944604837f, 0.328209844f, - 0.944100258f, 0.329658463f, - 0.943593458f, 0.331106306f, - 0.943084437f, 0.332553370f, - 0.942573198f, 0.333999651f, - 0.942059740f, 0.335445147f, - 0.941544065f, 0.336889853f, - 0.941026175f, 0.338333767f, - 0.940506071f, 0.339776884f, - 0.939983753f, 0.341219202f, - 0.939459224f, 0.342660717f, - 0.938932484f, 0.344101426f, - 0.938403534f, 0.345541325f, - 0.937872376f, 0.346980411f, - 0.937339012f, 0.348418680f, - 0.936803442f, 0.349856130f, - 0.936265667f, 0.351292756f, - 0.935725689f, 0.352728556f, - 0.935183510f, 0.354163525f, - 0.934639130f, 0.355597662f, - 0.934092550f, 0.357030961f, - 0.933543773f, 0.358463421f, - 0.932992799f, 0.359895037f, - 0.932439629f, 0.361325806f, - 0.931884266f, 0.362755724f, - 0.931326709f, 0.364184790f, - 0.930766961f, 0.365612998f, - 0.930205023f, 0.367040346f, - 0.929640896f, 0.368466830f, - 0.929074581f, 0.369892447f, - 0.928506080f, 0.371317194f, - 0.927935395f, 0.372741067f, - 0.927362526f, 0.374164063f, - 0.926787474f, 0.375586178f, - 0.926210242f, 0.377007410f, - 0.925630831f, 0.378427755f, - 0.925049241f, 0.379847209f, - 0.924465474f, 0.381265769f, - 0.923879533f, 0.382683432f, - 0.923291417f, 0.384100195f, - 0.922701128f, 0.385516054f, - 0.922108669f, 0.386931006f, - 0.921514039f, 0.388345047f, - 0.920917242f, 0.389758174f, - 0.920318277f, 0.391170384f, - 0.919717146f, 0.392581674f, - 0.919113852f, 0.393992040f, - 0.918508394f, 0.395401479f, - 0.917900776f, 0.396809987f, - 0.917290997f, 0.398217562f, - 0.916679060f, 0.399624200f, - 0.916064966f, 0.401029897f, - 0.915448716f, 0.402434651f, - 0.914830312f, 0.403838458f, - 0.914209756f, 0.405241314f, - 0.913587048f, 0.406643217f, - 0.912962190f, 0.408044163f, - 0.912335185f, 0.409444149f, - 0.911706032f, 0.410843171f, - 0.911074734f, 0.412241227f, - 0.910441292f, 0.413638312f, - 0.909805708f, 0.415034424f, - 0.909167983f, 0.416429560f, - 0.908528119f, 0.417823716f, - 0.907886116f, 0.419216888f, - 0.907241978f, 0.420609074f, - 0.906595705f, 0.422000271f, - 0.905947298f, 0.423390474f, - 0.905296759f, 0.424779681f, - 0.904644091f, 0.426167889f, - 0.903989293f, 0.427555093f, - 0.903332368f, 0.428941292f, - 0.902673318f, 0.430326481f, - 0.902012144f, 0.431710658f, - 0.901348847f, 0.433093819f, - 0.900683429f, 0.434475961f, - 0.900015892f, 0.435857080f, - 0.899346237f, 0.437237174f, - 0.898674466f, 0.438616239f, - 0.898000580f, 0.439994271f, - 0.897324581f, 0.441371269f, - 0.896646470f, 0.442747228f, - 0.895966250f, 0.444122145f, - 0.895283921f, 0.445496017f, - 0.894599486f, 0.446868840f, - 0.893912945f, 0.448240612f, - 0.893224301f, 0.449611330f, - 0.892533555f, 0.450980989f, - 0.891840709f, 0.452349587f, - 0.891145765f, 0.453717121f, - 0.890448723f, 0.455083587f, - 0.889749586f, 0.456448982f, - 0.889048356f, 0.457813304f, - 0.888345033f, 0.459176548f, - 0.887639620f, 0.460538711f, - 0.886932119f, 0.461899791f, - 0.886222530f, 0.463259784f, - 0.885510856f, 0.464618686f, - 0.884797098f, 0.465976496f, - 0.884081259f, 0.467333209f, - 0.883363339f, 0.468688822f, - 0.882643340f, 0.470043332f, - 0.881921264f, 0.471396737f, - 0.881197113f, 0.472749032f, - 0.880470889f, 0.474100215f, - 0.879742593f, 0.475450282f, - 0.879012226f, 0.476799230f, - 0.878279792f, 0.478147056f, - 0.877545290f, 0.479493758f, - 0.876808724f, 0.480839331f, - 0.876070094f, 0.482183772f, - 0.875329403f, 0.483527079f, - 0.874586652f, 0.484869248f, - 0.873841843f, 0.486210276f, - 0.873094978f, 0.487550160f, - 0.872346059f, 0.488888897f, - 0.871595087f, 0.490226483f, - 0.870842063f, 0.491562916f, - 0.870086991f, 0.492898192f, - 0.869329871f, 0.494232309f, - 0.868570706f, 0.495565262f, - 0.867809497f, 0.496897049f, - 0.867046246f, 0.498227667f, - 0.866280954f, 0.499557113f, - 0.865513624f, 0.500885383f, - 0.864744258f, 0.502212474f, - 0.863972856f, 0.503538384f, - 0.863199422f, 0.504863109f, - 0.862423956f, 0.506186645f, - 0.861646461f, 0.507508991f, - 0.860866939f, 0.508830143f, - 0.860085390f, 0.510150097f, - 0.859301818f, 0.511468850f, - 0.858516224f, 0.512786401f, - 0.857728610f, 0.514102744f, - 0.856938977f, 0.515417878f, - 0.856147328f, 0.516731799f, - 0.855353665f, 0.518044504f, - 0.854557988f, 0.519355990f, - 0.853760301f, 0.520666254f, - 0.852960605f, 0.521975293f, - 0.852158902f, 0.523283103f, - 0.851355193f, 0.524589683f, - 0.850549481f, 0.525895027f, - 0.849741768f, 0.527199135f, - 0.848932055f, 0.528502002f, - 0.848120345f, 0.529803625f, - 0.847306639f, 0.531104001f, - 0.846490939f, 0.532403128f, - 0.845673247f, 0.533701002f, - 0.844853565f, 0.534997620f, - 0.844031895f, 0.536292979f, - 0.843208240f, 0.537587076f, - 0.842382600f, 0.538879909f, - 0.841554977f, 0.540171473f, - 0.840725375f, 0.541461766f, - 0.839893794f, 0.542750785f, - 0.839060237f, 0.544038527f, - 0.838224706f, 0.545324988f, - 0.837387202f, 0.546610167f, - 0.836547727f, 0.547894059f, - 0.835706284f, 0.549176662f, - 0.834862875f, 0.550457973f, - 0.834017501f, 0.551737988f, - 0.833170165f, 0.553016706f, - 0.832320868f, 0.554294121f, - 0.831469612f, 0.555570233f, - 0.830616400f, 0.556845037f, - 0.829761234f, 0.558118531f, - 0.828904115f, 0.559390712f, - 0.828045045f, 0.560661576f, - 0.827184027f, 0.561931121f, - 0.826321063f, 0.563199344f, - 0.825456154f, 0.564466242f, - 0.824589303f, 0.565731811f, - 0.823720511f, 0.566996049f, - 0.822849781f, 0.568258953f, - 0.821977115f, 0.569520519f, - 0.821102515f, 0.570780746f, - 0.820225983f, 0.572039629f, - 0.819347520f, 0.573297167f, - 0.818467130f, 0.574553355f, - 0.817584813f, 0.575808191f, - 0.816700573f, 0.577061673f, - 0.815814411f, 0.578313796f, - 0.814926329f, 0.579564559f, - 0.814036330f, 0.580813958f, - 0.813144415f, 0.582061990f, - 0.812250587f, 0.583308653f, - 0.811354847f, 0.584553943f, - 0.810457198f, 0.585797857f, - 0.809557642f, 0.587040394f, - 0.808656182f, 0.588281548f, - 0.807752818f, 0.589521319f, - 0.806847554f, 0.590759702f, - 0.805940391f, 0.591996695f, - 0.805031331f, 0.593232295f, - 0.804120377f, 0.594466499f, - 0.803207531f, 0.595699304f, - 0.802292796f, 0.596930708f, - 0.801376172f, 0.598160707f, - 0.800457662f, 0.599389298f, - 0.799537269f, 0.600616479f, - 0.798614995f, 0.601842247f, - 0.797690841f, 0.603066599f, - 0.796764810f, 0.604289531f, - 0.795836905f, 0.605511041f, - 0.794907126f, 0.606731127f, - 0.793975478f, 0.607949785f, - 0.793041960f, 0.609167012f, - 0.792106577f, 0.610382806f, - 0.791169330f, 0.611597164f, - 0.790230221f, 0.612810082f, - 0.789289253f, 0.614021559f, - 0.788346428f, 0.615231591f, - 0.787401747f, 0.616440175f, - 0.786455214f, 0.617647308f, - 0.785506830f, 0.618852988f, - 0.784556597f, 0.620057212f, - 0.783604519f, 0.621259977f, - 0.782650596f, 0.622461279f, - 0.781694832f, 0.623661118f, - 0.780737229f, 0.624859488f, - 0.779777788f, 0.626056388f, - 0.778816512f, 0.627251815f, - 0.777853404f, 0.628445767f, - 0.776888466f, 0.629638239f, - 0.775921699f, 0.630829230f, - 0.774953107f, 0.632018736f, - 0.773982691f, 0.633206755f, - 0.773010453f, 0.634393284f, - 0.772036397f, 0.635578320f, - 0.771060524f, 0.636761861f, - 0.770082837f, 0.637943904f, - 0.769103338f, 0.639124445f, - 0.768122029f, 0.640303482f, - 0.767138912f, 0.641481013f, - 0.766153990f, 0.642657034f, - 0.765167266f, 0.643831543f, - 0.764178741f, 0.645004537f, - 0.763188417f, 0.646176013f, - 0.762196298f, 0.647345969f, - 0.761202385f, 0.648514401f, - 0.760206682f, 0.649681307f, - 0.759209189f, 0.650846685f, - 0.758209910f, 0.652010531f, - 0.757208847f, 0.653172843f, - 0.756206001f, 0.654333618f, - 0.755201377f, 0.655492853f, - 0.754194975f, 0.656650546f, - 0.753186799f, 0.657806693f, - 0.752176850f, 0.658961293f, - 0.751165132f, 0.660114342f, - 0.750151646f, 0.661265838f, - 0.749136395f, 0.662415778f, - 0.748119380f, 0.663564159f, - 0.747100606f, 0.664710978f, - 0.746080074f, 0.665856234f, - 0.745057785f, 0.666999922f, - 0.744033744f, 0.668142041f, - 0.743007952f, 0.669282588f, - 0.741980412f, 0.670421560f, - 0.740951125f, 0.671558955f, - 0.739920095f, 0.672694769f, - 0.738887324f, 0.673829000f, - 0.737852815f, 0.674961646f, - 0.736816569f, 0.676092704f, - 0.735778589f, 0.677222170f, - 0.734738878f, 0.678350043f, - 0.733697438f, 0.679476320f, - 0.732654272f, 0.680600998f, - 0.731609381f, 0.681724074f, - 0.730562769f, 0.682845546f, - 0.729514438f, 0.683965412f, - 0.728464390f, 0.685083668f, - 0.727412629f, 0.686200312f, - 0.726359155f, 0.687315341f, - 0.725303972f, 0.688428753f, - 0.724247083f, 0.689540545f, - 0.723188489f, 0.690650714f, - 0.722128194f, 0.691759258f, - 0.721066199f, 0.692866175f, - 0.720002508f, 0.693971461f, - 0.718937122f, 0.695075114f, - 0.717870045f, 0.696177131f, - 0.716801279f, 0.697277511f, - 0.715730825f, 0.698376249f, - 0.714658688f, 0.699473345f, - 0.713584869f, 0.700568794f, - 0.712509371f, 0.701662595f, - 0.711432196f, 0.702754744f, - 0.710353347f, 0.703845241f, - 0.709272826f, 0.704934080f, - 0.708190637f, 0.706021261f, - 0.707106781f, 0.707106781f, - 0.706021261f, 0.708190637f, - 0.704934080f, 0.709272826f, - 0.703845241f, 0.710353347f, - 0.702754744f, 0.711432196f, - 0.701662595f, 0.712509371f, - 0.700568794f, 0.713584869f, - 0.699473345f, 0.714658688f, - 0.698376249f, 0.715730825f, - 0.697277511f, 0.716801279f, - 0.696177131f, 0.717870045f, - 0.695075114f, 0.718937122f, - 0.693971461f, 0.720002508f, - 0.692866175f, 0.721066199f, - 0.691759258f, 0.722128194f, - 0.690650714f, 0.723188489f, - 0.689540545f, 0.724247083f, - 0.688428753f, 0.725303972f, - 0.687315341f, 0.726359155f, - 0.686200312f, 0.727412629f, - 0.685083668f, 0.728464390f, - 0.683965412f, 0.729514438f, - 0.682845546f, 0.730562769f, - 0.681724074f, 0.731609381f, - 0.680600998f, 0.732654272f, - 0.679476320f, 0.733697438f, - 0.678350043f, 0.734738878f, - 0.677222170f, 0.735778589f, - 0.676092704f, 0.736816569f, - 0.674961646f, 0.737852815f, - 0.673829000f, 0.738887324f, - 0.672694769f, 0.739920095f, - 0.671558955f, 0.740951125f, - 0.670421560f, 0.741980412f, - 0.669282588f, 0.743007952f, - 0.668142041f, 0.744033744f, - 0.666999922f, 0.745057785f, - 0.665856234f, 0.746080074f, - 0.664710978f, 0.747100606f, - 0.663564159f, 0.748119380f, - 0.662415778f, 0.749136395f, - 0.661265838f, 0.750151646f, - 0.660114342f, 0.751165132f, - 0.658961293f, 0.752176850f, - 0.657806693f, 0.753186799f, - 0.656650546f, 0.754194975f, - 0.655492853f, 0.755201377f, - 0.654333618f, 0.756206001f, - 0.653172843f, 0.757208847f, - 0.652010531f, 0.758209910f, - 0.650846685f, 0.759209189f, - 0.649681307f, 0.760206682f, - 0.648514401f, 0.761202385f, - 0.647345969f, 0.762196298f, - 0.646176013f, 0.763188417f, - 0.645004537f, 0.764178741f, - 0.643831543f, 0.765167266f, - 0.642657034f, 0.766153990f, - 0.641481013f, 0.767138912f, - 0.640303482f, 0.768122029f, - 0.639124445f, 0.769103338f, - 0.637943904f, 0.770082837f, - 0.636761861f, 0.771060524f, - 0.635578320f, 0.772036397f, - 0.634393284f, 0.773010453f, - 0.633206755f, 0.773982691f, - 0.632018736f, 0.774953107f, - 0.630829230f, 0.775921699f, - 0.629638239f, 0.776888466f, - 0.628445767f, 0.777853404f, - 0.627251815f, 0.778816512f, - 0.626056388f, 0.779777788f, - 0.624859488f, 0.780737229f, - 0.623661118f, 0.781694832f, - 0.622461279f, 0.782650596f, - 0.621259977f, 0.783604519f, - 0.620057212f, 0.784556597f, - 0.618852988f, 0.785506830f, - 0.617647308f, 0.786455214f, - 0.616440175f, 0.787401747f, - 0.615231591f, 0.788346428f, - 0.614021559f, 0.789289253f, - 0.612810082f, 0.790230221f, - 0.611597164f, 0.791169330f, - 0.610382806f, 0.792106577f, - 0.609167012f, 0.793041960f, - 0.607949785f, 0.793975478f, - 0.606731127f, 0.794907126f, - 0.605511041f, 0.795836905f, - 0.604289531f, 0.796764810f, - 0.603066599f, 0.797690841f, - 0.601842247f, 0.798614995f, - 0.600616479f, 0.799537269f, - 0.599389298f, 0.800457662f, - 0.598160707f, 0.801376172f, - 0.596930708f, 0.802292796f, - 0.595699304f, 0.803207531f, - 0.594466499f, 0.804120377f, - 0.593232295f, 0.805031331f, - 0.591996695f, 0.805940391f, - 0.590759702f, 0.806847554f, - 0.589521319f, 0.807752818f, - 0.588281548f, 0.808656182f, - 0.587040394f, 0.809557642f, - 0.585797857f, 0.810457198f, - 0.584553943f, 0.811354847f, - 0.583308653f, 0.812250587f, - 0.582061990f, 0.813144415f, - 0.580813958f, 0.814036330f, - 0.579564559f, 0.814926329f, - 0.578313796f, 0.815814411f, - 0.577061673f, 0.816700573f, - 0.575808191f, 0.817584813f, - 0.574553355f, 0.818467130f, - 0.573297167f, 0.819347520f, - 0.572039629f, 0.820225983f, - 0.570780746f, 0.821102515f, - 0.569520519f, 0.821977115f, - 0.568258953f, 0.822849781f, - 0.566996049f, 0.823720511f, - 0.565731811f, 0.824589303f, - 0.564466242f, 0.825456154f, - 0.563199344f, 0.826321063f, - 0.561931121f, 0.827184027f, - 0.560661576f, 0.828045045f, - 0.559390712f, 0.828904115f, - 0.558118531f, 0.829761234f, - 0.556845037f, 0.830616400f, - 0.555570233f, 0.831469612f, - 0.554294121f, 0.832320868f, - 0.553016706f, 0.833170165f, - 0.551737988f, 0.834017501f, - 0.550457973f, 0.834862875f, - 0.549176662f, 0.835706284f, - 0.547894059f, 0.836547727f, - 0.546610167f, 0.837387202f, - 0.545324988f, 0.838224706f, - 0.544038527f, 0.839060237f, - 0.542750785f, 0.839893794f, - 0.541461766f, 0.840725375f, - 0.540171473f, 0.841554977f, - 0.538879909f, 0.842382600f, - 0.537587076f, 0.843208240f, - 0.536292979f, 0.844031895f, - 0.534997620f, 0.844853565f, - 0.533701002f, 0.845673247f, - 0.532403128f, 0.846490939f, - 0.531104001f, 0.847306639f, - 0.529803625f, 0.848120345f, - 0.528502002f, 0.848932055f, - 0.527199135f, 0.849741768f, - 0.525895027f, 0.850549481f, - 0.524589683f, 0.851355193f, - 0.523283103f, 0.852158902f, - 0.521975293f, 0.852960605f, - 0.520666254f, 0.853760301f, - 0.519355990f, 0.854557988f, - 0.518044504f, 0.855353665f, - 0.516731799f, 0.856147328f, - 0.515417878f, 0.856938977f, - 0.514102744f, 0.857728610f, - 0.512786401f, 0.858516224f, - 0.511468850f, 0.859301818f, - 0.510150097f, 0.860085390f, - 0.508830143f, 0.860866939f, - 0.507508991f, 0.861646461f, - 0.506186645f, 0.862423956f, - 0.504863109f, 0.863199422f, - 0.503538384f, 0.863972856f, - 0.502212474f, 0.864744258f, - 0.500885383f, 0.865513624f, - 0.499557113f, 0.866280954f, - 0.498227667f, 0.867046246f, - 0.496897049f, 0.867809497f, - 0.495565262f, 0.868570706f, - 0.494232309f, 0.869329871f, - 0.492898192f, 0.870086991f, - 0.491562916f, 0.870842063f, - 0.490226483f, 0.871595087f, - 0.488888897f, 0.872346059f, - 0.487550160f, 0.873094978f, - 0.486210276f, 0.873841843f, - 0.484869248f, 0.874586652f, - 0.483527079f, 0.875329403f, - 0.482183772f, 0.876070094f, - 0.480839331f, 0.876808724f, - 0.479493758f, 0.877545290f, - 0.478147056f, 0.878279792f, - 0.476799230f, 0.879012226f, - 0.475450282f, 0.879742593f, - 0.474100215f, 0.880470889f, - 0.472749032f, 0.881197113f, - 0.471396737f, 0.881921264f, - 0.470043332f, 0.882643340f, - 0.468688822f, 0.883363339f, - 0.467333209f, 0.884081259f, - 0.465976496f, 0.884797098f, - 0.464618686f, 0.885510856f, - 0.463259784f, 0.886222530f, - 0.461899791f, 0.886932119f, - 0.460538711f, 0.887639620f, - 0.459176548f, 0.888345033f, - 0.457813304f, 0.889048356f, - 0.456448982f, 0.889749586f, - 0.455083587f, 0.890448723f, - 0.453717121f, 0.891145765f, - 0.452349587f, 0.891840709f, - 0.450980989f, 0.892533555f, - 0.449611330f, 0.893224301f, - 0.448240612f, 0.893912945f, - 0.446868840f, 0.894599486f, - 0.445496017f, 0.895283921f, - 0.444122145f, 0.895966250f, - 0.442747228f, 0.896646470f, - 0.441371269f, 0.897324581f, - 0.439994271f, 0.898000580f, - 0.438616239f, 0.898674466f, - 0.437237174f, 0.899346237f, - 0.435857080f, 0.900015892f, - 0.434475961f, 0.900683429f, - 0.433093819f, 0.901348847f, - 0.431710658f, 0.902012144f, - 0.430326481f, 0.902673318f, - 0.428941292f, 0.903332368f, - 0.427555093f, 0.903989293f, - 0.426167889f, 0.904644091f, - 0.424779681f, 0.905296759f, - 0.423390474f, 0.905947298f, - 0.422000271f, 0.906595705f, - 0.420609074f, 0.907241978f, - 0.419216888f, 0.907886116f, - 0.417823716f, 0.908528119f, - 0.416429560f, 0.909167983f, - 0.415034424f, 0.909805708f, - 0.413638312f, 0.910441292f, - 0.412241227f, 0.911074734f, - 0.410843171f, 0.911706032f, - 0.409444149f, 0.912335185f, - 0.408044163f, 0.912962190f, - 0.406643217f, 0.913587048f, - 0.405241314f, 0.914209756f, - 0.403838458f, 0.914830312f, - 0.402434651f, 0.915448716f, - 0.401029897f, 0.916064966f, - 0.399624200f, 0.916679060f, - 0.398217562f, 0.917290997f, - 0.396809987f, 0.917900776f, - 0.395401479f, 0.918508394f, - 0.393992040f, 0.919113852f, - 0.392581674f, 0.919717146f, - 0.391170384f, 0.920318277f, - 0.389758174f, 0.920917242f, - 0.388345047f, 0.921514039f, - 0.386931006f, 0.922108669f, - 0.385516054f, 0.922701128f, - 0.384100195f, 0.923291417f, - 0.382683432f, 0.923879533f, - 0.381265769f, 0.924465474f, - 0.379847209f, 0.925049241f, - 0.378427755f, 0.925630831f, - 0.377007410f, 0.926210242f, - 0.375586178f, 0.926787474f, - 0.374164063f, 0.927362526f, - 0.372741067f, 0.927935395f, - 0.371317194f, 0.928506080f, - 0.369892447f, 0.929074581f, - 0.368466830f, 0.929640896f, - 0.367040346f, 0.930205023f, - 0.365612998f, 0.930766961f, - 0.364184790f, 0.931326709f, - 0.362755724f, 0.931884266f, - 0.361325806f, 0.932439629f, - 0.359895037f, 0.932992799f, - 0.358463421f, 0.933543773f, - 0.357030961f, 0.934092550f, - 0.355597662f, 0.934639130f, - 0.354163525f, 0.935183510f, - 0.352728556f, 0.935725689f, - 0.351292756f, 0.936265667f, - 0.349856130f, 0.936803442f, - 0.348418680f, 0.937339012f, - 0.346980411f, 0.937872376f, - 0.345541325f, 0.938403534f, - 0.344101426f, 0.938932484f, - 0.342660717f, 0.939459224f, - 0.341219202f, 0.939983753f, - 0.339776884f, 0.940506071f, - 0.338333767f, 0.941026175f, - 0.336889853f, 0.941544065f, - 0.335445147f, 0.942059740f, - 0.333999651f, 0.942573198f, - 0.332553370f, 0.943084437f, - 0.331106306f, 0.943593458f, - 0.329658463f, 0.944100258f, - 0.328209844f, 0.944604837f, - 0.326760452f, 0.945107193f, - 0.325310292f, 0.945607325f, - 0.323859367f, 0.946105232f, - 0.322407679f, 0.946600913f, - 0.320955232f, 0.947094366f, - 0.319502031f, 0.947585591f, - 0.318048077f, 0.948074586f, - 0.316593376f, 0.948561350f, - 0.315137929f, 0.949045882f, - 0.313681740f, 0.949528181f, - 0.312224814f, 0.950008245f, - 0.310767153f, 0.950486074f, - 0.309308760f, 0.950961666f, - 0.307849640f, 0.951435021f, - 0.306389795f, 0.951906137f, - 0.304929230f, 0.952375013f, - 0.303467947f, 0.952841648f, - 0.302005949f, 0.953306040f, - 0.300543241f, 0.953768190f, - 0.299079826f, 0.954228095f, - 0.297615707f, 0.954685755f, - 0.296150888f, 0.955141168f, - 0.294685372f, 0.955594334f, - 0.293219163f, 0.956045251f, - 0.291752263f, 0.956493919f, - 0.290284677f, 0.956940336f, - 0.288816408f, 0.957384501f, - 0.287347460f, 0.957826413f, - 0.285877835f, 0.958266071f, - 0.284407537f, 0.958703475f, - 0.282936570f, 0.959138622f, - 0.281464938f, 0.959571513f, - 0.279992643f, 0.960002146f, - 0.278519689f, 0.960430519f, - 0.277046080f, 0.960856633f, - 0.275571819f, 0.961280486f, - 0.274096910f, 0.961702077f, - 0.272621355f, 0.962121404f, - 0.271145160f, 0.962538468f, - 0.269668326f, 0.962953267f, - 0.268190857f, 0.963365800f, - 0.266712757f, 0.963776066f, - 0.265234030f, 0.964184064f, - 0.263754679f, 0.964589793f, - 0.262274707f, 0.964993253f, - 0.260794118f, 0.965394442f, - 0.259312915f, 0.965793359f, - 0.257831102f, 0.966190003f, - 0.256348682f, 0.966584374f, - 0.254865660f, 0.966976471f, - 0.253382037f, 0.967366292f, - 0.251897818f, 0.967753837f, - 0.250413007f, 0.968139105f, - 0.248927606f, 0.968522094f, - 0.247441619f, 0.968902805f, - 0.245955050f, 0.969281235f, - 0.244467903f, 0.969657385f, - 0.242980180f, 0.970031253f, - 0.241491885f, 0.970402839f, - 0.240003022f, 0.970772141f, - 0.238513595f, 0.971139158f, - 0.237023606f, 0.971503891f, - 0.235533059f, 0.971866337f, - 0.234041959f, 0.972226497f, - 0.232550307f, 0.972584369f, - 0.231058108f, 0.972939952f, - 0.229565366f, 0.973293246f, - 0.228072083f, 0.973644250f, - 0.226578264f, 0.973992962f, - 0.225083911f, 0.974339383f, - 0.223589029f, 0.974683511f, - 0.222093621f, 0.975025345f, - 0.220597690f, 0.975364885f, - 0.219101240f, 0.975702130f, - 0.217604275f, 0.976037079f, - 0.216106797f, 0.976369731f, - 0.214608811f, 0.976700086f, - 0.213110320f, 0.977028143f, - 0.211611327f, 0.977353900f, - 0.210111837f, 0.977677358f, - 0.208611852f, 0.977998515f, - 0.207111376f, 0.978317371f, - 0.205610413f, 0.978633924f, - 0.204108966f, 0.978948175f, - 0.202607039f, 0.979260123f, - 0.201104635f, 0.979569766f, - 0.199601758f, 0.979877104f, - 0.198098411f, 0.980182136f, - 0.196594598f, 0.980484862f, - 0.195090322f, 0.980785280f, - 0.193585587f, 0.981083391f, - 0.192080397f, 0.981379193f, - 0.190574755f, 0.981672686f, - 0.189068664f, 0.981963869f, - 0.187562129f, 0.982252741f, - 0.186055152f, 0.982539302f, - 0.184547737f, 0.982823551f, - 0.183039888f, 0.983105487f, - 0.181531608f, 0.983385110f, - 0.180022901f, 0.983662419f, - 0.178513771f, 0.983937413f, - 0.177004220f, 0.984210092f, - 0.175494253f, 0.984480455f, - 0.173983873f, 0.984748502f, - 0.172473084f, 0.985014231f, - 0.170961889f, 0.985277642f, - 0.169450291f, 0.985538735f, - 0.167938295f, 0.985797509f, - 0.166425904f, 0.986053963f, - 0.164913120f, 0.986308097f, - 0.163399949f, 0.986559910f, - 0.161886394f, 0.986809402f, - 0.160372457f, 0.987056571f, - 0.158858143f, 0.987301418f, - 0.157343456f, 0.987543942f, - 0.155828398f, 0.987784142f, - 0.154312973f, 0.988022017f, - 0.152797185f, 0.988257568f, - 0.151281038f, 0.988490793f, - 0.149764535f, 0.988721692f, - 0.148247679f, 0.988950265f, - 0.146730474f, 0.989176510f, - 0.145212925f, 0.989400428f, - 0.143695033f, 0.989622017f, - 0.142176804f, 0.989841278f, - 0.140658239f, 0.990058210f, - 0.139139344f, 0.990272812f, - 0.137620122f, 0.990485084f, - 0.136100575f, 0.990695025f, - 0.134580709f, 0.990902635f, - 0.133060525f, 0.991107914f, - 0.131540029f, 0.991310860f, - 0.130019223f, 0.991511473f, - 0.128498111f, 0.991709754f, - 0.126976696f, 0.991905700f, - 0.125454983f, 0.992099313f, - 0.123932975f, 0.992290591f, - 0.122410675f, 0.992479535f, - 0.120888087f, 0.992666142f, - 0.119365215f, 0.992850414f, - 0.117842062f, 0.993032350f, - 0.116318631f, 0.993211949f, - 0.114794927f, 0.993389211f, - 0.113270952f, 0.993564136f, - 0.111746711f, 0.993736722f, - 0.110222207f, 0.993906970f, - 0.108697444f, 0.994074879f, - 0.107172425f, 0.994240449f, - 0.105647154f, 0.994403680f, - 0.104121634f, 0.994564571f, - 0.102595869f, 0.994723121f, - 0.101069863f, 0.994879331f, - 0.099543619f, 0.995033199f, - 0.098017140f, 0.995184727f, - 0.096490431f, 0.995333912f, - 0.094963495f, 0.995480755f, - 0.093436336f, 0.995625256f, - 0.091908956f, 0.995767414f, - 0.090381361f, 0.995907229f, - 0.088853553f, 0.996044701f, - 0.087325535f, 0.996179829f, - 0.085797312f, 0.996312612f, - 0.084268888f, 0.996443051f, - 0.082740265f, 0.996571146f, - 0.081211447f, 0.996696895f, - 0.079682438f, 0.996820299f, - 0.078153242f, 0.996941358f, - 0.076623861f, 0.997060070f, - 0.075094301f, 0.997176437f, - 0.073564564f, 0.997290457f, - 0.072034653f, 0.997402130f, - 0.070504573f, 0.997511456f, - 0.068974328f, 0.997618435f, - 0.067443920f, 0.997723067f, - 0.065913353f, 0.997825350f, - 0.064382631f, 0.997925286f, - 0.062851758f, 0.998022874f, - 0.061320736f, 0.998118113f, - 0.059789571f, 0.998211003f, - 0.058258265f, 0.998301545f, - 0.056726821f, 0.998389737f, - 0.055195244f, 0.998475581f, - 0.053663538f, 0.998559074f, - 0.052131705f, 0.998640218f, - 0.050599749f, 0.998719012f, - 0.049067674f, 0.998795456f, - 0.047535484f, 0.998869550f, - 0.046003182f, 0.998941293f, - 0.044470772f, 0.999010686f, - 0.042938257f, 0.999077728f, - 0.041405641f, 0.999142419f, - 0.039872928f, 0.999204759f, - 0.038340120f, 0.999264747f, - 0.036807223f, 0.999322385f, - 0.035274239f, 0.999377670f, - 0.033741172f, 0.999430605f, - 0.032208025f, 0.999481187f, - 0.030674803f, 0.999529418f, - 0.029141509f, 0.999575296f, - 0.027608146f, 0.999618822f, - 0.026074718f, 0.999659997f, - 0.024541229f, 0.999698819f, - 0.023007681f, 0.999735288f, - 0.021474080f, 0.999769405f, - 0.019940429f, 0.999801170f, - 0.018406730f, 0.999830582f, - 0.016872988f, 0.999857641f, - 0.015339206f, 0.999882347f, - 0.013805389f, 0.999904701f, - 0.012271538f, 0.999924702f, - 0.010737659f, 0.999942350f, - 0.009203755f, 0.999957645f, - 0.007669829f, 0.999970586f, - 0.006135885f, 0.999981175f, - 0.004601926f, 0.999989411f, - 0.003067957f, 0.999995294f, - 0.001533980f, 0.999998823f, - 0.000000000f, 1.000000000f, - -0.001533980f, 0.999998823f, - -0.003067957f, 0.999995294f, - -0.004601926f, 0.999989411f, - -0.006135885f, 0.999981175f, - -0.007669829f, 0.999970586f, - -0.009203755f, 0.999957645f, - -0.010737659f, 0.999942350f, - -0.012271538f, 0.999924702f, - -0.013805389f, 0.999904701f, - -0.015339206f, 0.999882347f, - -0.016872988f, 0.999857641f, - -0.018406730f, 0.999830582f, - -0.019940429f, 0.999801170f, - -0.021474080f, 0.999769405f, - -0.023007681f, 0.999735288f, - -0.024541229f, 0.999698819f, - -0.026074718f, 0.999659997f, - -0.027608146f, 0.999618822f, - -0.029141509f, 0.999575296f, - -0.030674803f, 0.999529418f, - -0.032208025f, 0.999481187f, - -0.033741172f, 0.999430605f, - -0.035274239f, 0.999377670f, - -0.036807223f, 0.999322385f, - -0.038340120f, 0.999264747f, - -0.039872928f, 0.999204759f, - -0.041405641f, 0.999142419f, - -0.042938257f, 0.999077728f, - -0.044470772f, 0.999010686f, - -0.046003182f, 0.998941293f, - -0.047535484f, 0.998869550f, - -0.049067674f, 0.998795456f, - -0.050599749f, 0.998719012f, - -0.052131705f, 0.998640218f, - -0.053663538f, 0.998559074f, - -0.055195244f, 0.998475581f, - -0.056726821f, 0.998389737f, - -0.058258265f, 0.998301545f, - -0.059789571f, 0.998211003f, - -0.061320736f, 0.998118113f, - -0.062851758f, 0.998022874f, - -0.064382631f, 0.997925286f, - -0.065913353f, 0.997825350f, - -0.067443920f, 0.997723067f, - -0.068974328f, 0.997618435f, - -0.070504573f, 0.997511456f, - -0.072034653f, 0.997402130f, - -0.073564564f, 0.997290457f, - -0.075094301f, 0.997176437f, - -0.076623861f, 0.997060070f, - -0.078153242f, 0.996941358f, - -0.079682438f, 0.996820299f, - -0.081211447f, 0.996696895f, - -0.082740265f, 0.996571146f, - -0.084268888f, 0.996443051f, - -0.085797312f, 0.996312612f, - -0.087325535f, 0.996179829f, - -0.088853553f, 0.996044701f, - -0.090381361f, 0.995907229f, - -0.091908956f, 0.995767414f, - -0.093436336f, 0.995625256f, - -0.094963495f, 0.995480755f, - -0.096490431f, 0.995333912f, - -0.098017140f, 0.995184727f, - -0.099543619f, 0.995033199f, - -0.101069863f, 0.994879331f, - -0.102595869f, 0.994723121f, - -0.104121634f, 0.994564571f, - -0.105647154f, 0.994403680f, - -0.107172425f, 0.994240449f, - -0.108697444f, 0.994074879f, - -0.110222207f, 0.993906970f, - -0.111746711f, 0.993736722f, - -0.113270952f, 0.993564136f, - -0.114794927f, 0.993389211f, - -0.116318631f, 0.993211949f, - -0.117842062f, 0.993032350f, - -0.119365215f, 0.992850414f, - -0.120888087f, 0.992666142f, - -0.122410675f, 0.992479535f, - -0.123932975f, 0.992290591f, - -0.125454983f, 0.992099313f, - -0.126976696f, 0.991905700f, - -0.128498111f, 0.991709754f, - -0.130019223f, 0.991511473f, - -0.131540029f, 0.991310860f, - -0.133060525f, 0.991107914f, - -0.134580709f, 0.990902635f, - -0.136100575f, 0.990695025f, - -0.137620122f, 0.990485084f, - -0.139139344f, 0.990272812f, - -0.140658239f, 0.990058210f, - -0.142176804f, 0.989841278f, - -0.143695033f, 0.989622017f, - -0.145212925f, 0.989400428f, - -0.146730474f, 0.989176510f, - -0.148247679f, 0.988950265f, - -0.149764535f, 0.988721692f, - -0.151281038f, 0.988490793f, - -0.152797185f, 0.988257568f, - -0.154312973f, 0.988022017f, - -0.155828398f, 0.987784142f, - -0.157343456f, 0.987543942f, - -0.158858143f, 0.987301418f, - -0.160372457f, 0.987056571f, - -0.161886394f, 0.986809402f, - -0.163399949f, 0.986559910f, - -0.164913120f, 0.986308097f, - -0.166425904f, 0.986053963f, - -0.167938295f, 0.985797509f, - -0.169450291f, 0.985538735f, - -0.170961889f, 0.985277642f, - -0.172473084f, 0.985014231f, - -0.173983873f, 0.984748502f, - -0.175494253f, 0.984480455f, - -0.177004220f, 0.984210092f, - -0.178513771f, 0.983937413f, - -0.180022901f, 0.983662419f, - -0.181531608f, 0.983385110f, - -0.183039888f, 0.983105487f, - -0.184547737f, 0.982823551f, - -0.186055152f, 0.982539302f, - -0.187562129f, 0.982252741f, - -0.189068664f, 0.981963869f, - -0.190574755f, 0.981672686f, - -0.192080397f, 0.981379193f, - -0.193585587f, 0.981083391f, - -0.195090322f, 0.980785280f, - -0.196594598f, 0.980484862f, - -0.198098411f, 0.980182136f, - -0.199601758f, 0.979877104f, - -0.201104635f, 0.979569766f, - -0.202607039f, 0.979260123f, - -0.204108966f, 0.978948175f, - -0.205610413f, 0.978633924f, - -0.207111376f, 0.978317371f, - -0.208611852f, 0.977998515f, - -0.210111837f, 0.977677358f, - -0.211611327f, 0.977353900f, - -0.213110320f, 0.977028143f, - -0.214608811f, 0.976700086f, - -0.216106797f, 0.976369731f, - -0.217604275f, 0.976037079f, - -0.219101240f, 0.975702130f, - -0.220597690f, 0.975364885f, - -0.222093621f, 0.975025345f, - -0.223589029f, 0.974683511f, - -0.225083911f, 0.974339383f, - -0.226578264f, 0.973992962f, - -0.228072083f, 0.973644250f, - -0.229565366f, 0.973293246f, - -0.231058108f, 0.972939952f, - -0.232550307f, 0.972584369f, - -0.234041959f, 0.972226497f, - -0.235533059f, 0.971866337f, - -0.237023606f, 0.971503891f, - -0.238513595f, 0.971139158f, - -0.240003022f, 0.970772141f, - -0.241491885f, 0.970402839f, - -0.242980180f, 0.970031253f, - -0.244467903f, 0.969657385f, - -0.245955050f, 0.969281235f, - -0.247441619f, 0.968902805f, - -0.248927606f, 0.968522094f, - -0.250413007f, 0.968139105f, - -0.251897818f, 0.967753837f, - -0.253382037f, 0.967366292f, - -0.254865660f, 0.966976471f, - -0.256348682f, 0.966584374f, - -0.257831102f, 0.966190003f, - -0.259312915f, 0.965793359f, - -0.260794118f, 0.965394442f, - -0.262274707f, 0.964993253f, - -0.263754679f, 0.964589793f, - -0.265234030f, 0.964184064f, - -0.266712757f, 0.963776066f, - -0.268190857f, 0.963365800f, - -0.269668326f, 0.962953267f, - -0.271145160f, 0.962538468f, - -0.272621355f, 0.962121404f, - -0.274096910f, 0.961702077f, - -0.275571819f, 0.961280486f, - -0.277046080f, 0.960856633f, - -0.278519689f, 0.960430519f, - -0.279992643f, 0.960002146f, - -0.281464938f, 0.959571513f, - -0.282936570f, 0.959138622f, - -0.284407537f, 0.958703475f, - -0.285877835f, 0.958266071f, - -0.287347460f, 0.957826413f, - -0.288816408f, 0.957384501f, - -0.290284677f, 0.956940336f, - -0.291752263f, 0.956493919f, - -0.293219163f, 0.956045251f, - -0.294685372f, 0.955594334f, - -0.296150888f, 0.955141168f, - -0.297615707f, 0.954685755f, - -0.299079826f, 0.954228095f, - -0.300543241f, 0.953768190f, - -0.302005949f, 0.953306040f, - -0.303467947f, 0.952841648f, - -0.304929230f, 0.952375013f, - -0.306389795f, 0.951906137f, - -0.307849640f, 0.951435021f, - -0.309308760f, 0.950961666f, - -0.310767153f, 0.950486074f, - -0.312224814f, 0.950008245f, - -0.313681740f, 0.949528181f, - -0.315137929f, 0.949045882f, - -0.316593376f, 0.948561350f, - -0.318048077f, 0.948074586f, - -0.319502031f, 0.947585591f, - -0.320955232f, 0.947094366f, - -0.322407679f, 0.946600913f, - -0.323859367f, 0.946105232f, - -0.325310292f, 0.945607325f, - -0.326760452f, 0.945107193f, - -0.328209844f, 0.944604837f, - -0.329658463f, 0.944100258f, - -0.331106306f, 0.943593458f, - -0.332553370f, 0.943084437f, - -0.333999651f, 0.942573198f, - -0.335445147f, 0.942059740f, - -0.336889853f, 0.941544065f, - -0.338333767f, 0.941026175f, - -0.339776884f, 0.940506071f, - -0.341219202f, 0.939983753f, - -0.342660717f, 0.939459224f, - -0.344101426f, 0.938932484f, - -0.345541325f, 0.938403534f, - -0.346980411f, 0.937872376f, - -0.348418680f, 0.937339012f, - -0.349856130f, 0.936803442f, - -0.351292756f, 0.936265667f, - -0.352728556f, 0.935725689f, - -0.354163525f, 0.935183510f, - -0.355597662f, 0.934639130f, - -0.357030961f, 0.934092550f, - -0.358463421f, 0.933543773f, - -0.359895037f, 0.932992799f, - -0.361325806f, 0.932439629f, - -0.362755724f, 0.931884266f, - -0.364184790f, 0.931326709f, - -0.365612998f, 0.930766961f, - -0.367040346f, 0.930205023f, - -0.368466830f, 0.929640896f, - -0.369892447f, 0.929074581f, - -0.371317194f, 0.928506080f, - -0.372741067f, 0.927935395f, - -0.374164063f, 0.927362526f, - -0.375586178f, 0.926787474f, - -0.377007410f, 0.926210242f, - -0.378427755f, 0.925630831f, - -0.379847209f, 0.925049241f, - -0.381265769f, 0.924465474f, - -0.382683432f, 0.923879533f, - -0.384100195f, 0.923291417f, - -0.385516054f, 0.922701128f, - -0.386931006f, 0.922108669f, - -0.388345047f, 0.921514039f, - -0.389758174f, 0.920917242f, - -0.391170384f, 0.920318277f, - -0.392581674f, 0.919717146f, - -0.393992040f, 0.919113852f, - -0.395401479f, 0.918508394f, - -0.396809987f, 0.917900776f, - -0.398217562f, 0.917290997f, - -0.399624200f, 0.916679060f, - -0.401029897f, 0.916064966f, - -0.402434651f, 0.915448716f, - -0.403838458f, 0.914830312f, - -0.405241314f, 0.914209756f, - -0.406643217f, 0.913587048f, - -0.408044163f, 0.912962190f, - -0.409444149f, 0.912335185f, - -0.410843171f, 0.911706032f, - -0.412241227f, 0.911074734f, - -0.413638312f, 0.910441292f, - -0.415034424f, 0.909805708f, - -0.416429560f, 0.909167983f, - -0.417823716f, 0.908528119f, - -0.419216888f, 0.907886116f, - -0.420609074f, 0.907241978f, - -0.422000271f, 0.906595705f, - -0.423390474f, 0.905947298f, - -0.424779681f, 0.905296759f, - -0.426167889f, 0.904644091f, - -0.427555093f, 0.903989293f, - -0.428941292f, 0.903332368f, - -0.430326481f, 0.902673318f, - -0.431710658f, 0.902012144f, - -0.433093819f, 0.901348847f, - -0.434475961f, 0.900683429f, - -0.435857080f, 0.900015892f, - -0.437237174f, 0.899346237f, - -0.438616239f, 0.898674466f, - -0.439994271f, 0.898000580f, - -0.441371269f, 0.897324581f, - -0.442747228f, 0.896646470f, - -0.444122145f, 0.895966250f, - -0.445496017f, 0.895283921f, - -0.446868840f, 0.894599486f, - -0.448240612f, 0.893912945f, - -0.449611330f, 0.893224301f, - -0.450980989f, 0.892533555f, - -0.452349587f, 0.891840709f, - -0.453717121f, 0.891145765f, - -0.455083587f, 0.890448723f, - -0.456448982f, 0.889749586f, - -0.457813304f, 0.889048356f, - -0.459176548f, 0.888345033f, - -0.460538711f, 0.887639620f, - -0.461899791f, 0.886932119f, - -0.463259784f, 0.886222530f, - -0.464618686f, 0.885510856f, - -0.465976496f, 0.884797098f, - -0.467333209f, 0.884081259f, - -0.468688822f, 0.883363339f, - -0.470043332f, 0.882643340f, - -0.471396737f, 0.881921264f, - -0.472749032f, 0.881197113f, - -0.474100215f, 0.880470889f, - -0.475450282f, 0.879742593f, - -0.476799230f, 0.879012226f, - -0.478147056f, 0.878279792f, - -0.479493758f, 0.877545290f, - -0.480839331f, 0.876808724f, - -0.482183772f, 0.876070094f, - -0.483527079f, 0.875329403f, - -0.484869248f, 0.874586652f, - -0.486210276f, 0.873841843f, - -0.487550160f, 0.873094978f, - -0.488888897f, 0.872346059f, - -0.490226483f, 0.871595087f, - -0.491562916f, 0.870842063f, - -0.492898192f, 0.870086991f, - -0.494232309f, 0.869329871f, - -0.495565262f, 0.868570706f, - -0.496897049f, 0.867809497f, - -0.498227667f, 0.867046246f, - -0.499557113f, 0.866280954f, - -0.500885383f, 0.865513624f, - -0.502212474f, 0.864744258f, - -0.503538384f, 0.863972856f, - -0.504863109f, 0.863199422f, - -0.506186645f, 0.862423956f, - -0.507508991f, 0.861646461f, - -0.508830143f, 0.860866939f, - -0.510150097f, 0.860085390f, - -0.511468850f, 0.859301818f, - -0.512786401f, 0.858516224f, - -0.514102744f, 0.857728610f, - -0.515417878f, 0.856938977f, - -0.516731799f, 0.856147328f, - -0.518044504f, 0.855353665f, - -0.519355990f, 0.854557988f, - -0.520666254f, 0.853760301f, - -0.521975293f, 0.852960605f, - -0.523283103f, 0.852158902f, - -0.524589683f, 0.851355193f, - -0.525895027f, 0.850549481f, - -0.527199135f, 0.849741768f, - -0.528502002f, 0.848932055f, - -0.529803625f, 0.848120345f, - -0.531104001f, 0.847306639f, - -0.532403128f, 0.846490939f, - -0.533701002f, 0.845673247f, - -0.534997620f, 0.844853565f, - -0.536292979f, 0.844031895f, - -0.537587076f, 0.843208240f, - -0.538879909f, 0.842382600f, - -0.540171473f, 0.841554977f, - -0.541461766f, 0.840725375f, - -0.542750785f, 0.839893794f, - -0.544038527f, 0.839060237f, - -0.545324988f, 0.838224706f, - -0.546610167f, 0.837387202f, - -0.547894059f, 0.836547727f, - -0.549176662f, 0.835706284f, - -0.550457973f, 0.834862875f, - -0.551737988f, 0.834017501f, - -0.553016706f, 0.833170165f, - -0.554294121f, 0.832320868f, - -0.555570233f, 0.831469612f, - -0.556845037f, 0.830616400f, - -0.558118531f, 0.829761234f, - -0.559390712f, 0.828904115f, - -0.560661576f, 0.828045045f, - -0.561931121f, 0.827184027f, - -0.563199344f, 0.826321063f, - -0.564466242f, 0.825456154f, - -0.565731811f, 0.824589303f, - -0.566996049f, 0.823720511f, - -0.568258953f, 0.822849781f, - -0.569520519f, 0.821977115f, - -0.570780746f, 0.821102515f, - -0.572039629f, 0.820225983f, - -0.573297167f, 0.819347520f, - -0.574553355f, 0.818467130f, - -0.575808191f, 0.817584813f, - -0.577061673f, 0.816700573f, - -0.578313796f, 0.815814411f, - -0.579564559f, 0.814926329f, - -0.580813958f, 0.814036330f, - -0.582061990f, 0.813144415f, - -0.583308653f, 0.812250587f, - -0.584553943f, 0.811354847f, - -0.585797857f, 0.810457198f, - -0.587040394f, 0.809557642f, - -0.588281548f, 0.808656182f, - -0.589521319f, 0.807752818f, - -0.590759702f, 0.806847554f, - -0.591996695f, 0.805940391f, - -0.593232295f, 0.805031331f, - -0.594466499f, 0.804120377f, - -0.595699304f, 0.803207531f, - -0.596930708f, 0.802292796f, - -0.598160707f, 0.801376172f, - -0.599389298f, 0.800457662f, - -0.600616479f, 0.799537269f, - -0.601842247f, 0.798614995f, - -0.603066599f, 0.797690841f, - -0.604289531f, 0.796764810f, - -0.605511041f, 0.795836905f, - -0.606731127f, 0.794907126f, - -0.607949785f, 0.793975478f, - -0.609167012f, 0.793041960f, - -0.610382806f, 0.792106577f, - -0.611597164f, 0.791169330f, - -0.612810082f, 0.790230221f, - -0.614021559f, 0.789289253f, - -0.615231591f, 0.788346428f, - -0.616440175f, 0.787401747f, - -0.617647308f, 0.786455214f, - -0.618852988f, 0.785506830f, - -0.620057212f, 0.784556597f, - -0.621259977f, 0.783604519f, - -0.622461279f, 0.782650596f, - -0.623661118f, 0.781694832f, - -0.624859488f, 0.780737229f, - -0.626056388f, 0.779777788f, - -0.627251815f, 0.778816512f, - -0.628445767f, 0.777853404f, - -0.629638239f, 0.776888466f, - -0.630829230f, 0.775921699f, - -0.632018736f, 0.774953107f, - -0.633206755f, 0.773982691f, - -0.634393284f, 0.773010453f, - -0.635578320f, 0.772036397f, - -0.636761861f, 0.771060524f, - -0.637943904f, 0.770082837f, - -0.639124445f, 0.769103338f, - -0.640303482f, 0.768122029f, - -0.641481013f, 0.767138912f, - -0.642657034f, 0.766153990f, - -0.643831543f, 0.765167266f, - -0.645004537f, 0.764178741f, - -0.646176013f, 0.763188417f, - -0.647345969f, 0.762196298f, - -0.648514401f, 0.761202385f, - -0.649681307f, 0.760206682f, - -0.650846685f, 0.759209189f, - -0.652010531f, 0.758209910f, - -0.653172843f, 0.757208847f, - -0.654333618f, 0.756206001f, - -0.655492853f, 0.755201377f, - -0.656650546f, 0.754194975f, - -0.657806693f, 0.753186799f, - -0.658961293f, 0.752176850f, - -0.660114342f, 0.751165132f, - -0.661265838f, 0.750151646f, - -0.662415778f, 0.749136395f, - -0.663564159f, 0.748119380f, - -0.664710978f, 0.747100606f, - -0.665856234f, 0.746080074f, - -0.666999922f, 0.745057785f, - -0.668142041f, 0.744033744f, - -0.669282588f, 0.743007952f, - -0.670421560f, 0.741980412f, - -0.671558955f, 0.740951125f, - -0.672694769f, 0.739920095f, - -0.673829000f, 0.738887324f, - -0.674961646f, 0.737852815f, - -0.676092704f, 0.736816569f, - -0.677222170f, 0.735778589f, - -0.678350043f, 0.734738878f, - -0.679476320f, 0.733697438f, - -0.680600998f, 0.732654272f, - -0.681724074f, 0.731609381f, - -0.682845546f, 0.730562769f, - -0.683965412f, 0.729514438f, - -0.685083668f, 0.728464390f, - -0.686200312f, 0.727412629f, - -0.687315341f, 0.726359155f, - -0.688428753f, 0.725303972f, - -0.689540545f, 0.724247083f, - -0.690650714f, 0.723188489f, - -0.691759258f, 0.722128194f, - -0.692866175f, 0.721066199f, - -0.693971461f, 0.720002508f, - -0.695075114f, 0.718937122f, - -0.696177131f, 0.717870045f, - -0.697277511f, 0.716801279f, - -0.698376249f, 0.715730825f, - -0.699473345f, 0.714658688f, - -0.700568794f, 0.713584869f, - -0.701662595f, 0.712509371f, - -0.702754744f, 0.711432196f, - -0.703845241f, 0.710353347f, - -0.704934080f, 0.709272826f, - -0.706021261f, 0.708190637f, - -0.707106781f, 0.707106781f, - -0.708190637f, 0.706021261f, - -0.709272826f, 0.704934080f, - -0.710353347f, 0.703845241f, - -0.711432196f, 0.702754744f, - -0.712509371f, 0.701662595f, - -0.713584869f, 0.700568794f, - -0.714658688f, 0.699473345f, - -0.715730825f, 0.698376249f, - -0.716801279f, 0.697277511f, - -0.717870045f, 0.696177131f, - -0.718937122f, 0.695075114f, - -0.720002508f, 0.693971461f, - -0.721066199f, 0.692866175f, - -0.722128194f, 0.691759258f, - -0.723188489f, 0.690650714f, - -0.724247083f, 0.689540545f, - -0.725303972f, 0.688428753f, - -0.726359155f, 0.687315341f, - -0.727412629f, 0.686200312f, - -0.728464390f, 0.685083668f, - -0.729514438f, 0.683965412f, - -0.730562769f, 0.682845546f, - -0.731609381f, 0.681724074f, - -0.732654272f, 0.680600998f, - -0.733697438f, 0.679476320f, - -0.734738878f, 0.678350043f, - -0.735778589f, 0.677222170f, - -0.736816569f, 0.676092704f, - -0.737852815f, 0.674961646f, - -0.738887324f, 0.673829000f, - -0.739920095f, 0.672694769f, - -0.740951125f, 0.671558955f, - -0.741980412f, 0.670421560f, - -0.743007952f, 0.669282588f, - -0.744033744f, 0.668142041f, - -0.745057785f, 0.666999922f, - -0.746080074f, 0.665856234f, - -0.747100606f, 0.664710978f, - -0.748119380f, 0.663564159f, - -0.749136395f, 0.662415778f, - -0.750151646f, 0.661265838f, - -0.751165132f, 0.660114342f, - -0.752176850f, 0.658961293f, - -0.753186799f, 0.657806693f, - -0.754194975f, 0.656650546f, - -0.755201377f, 0.655492853f, - -0.756206001f, 0.654333618f, - -0.757208847f, 0.653172843f, - -0.758209910f, 0.652010531f, - -0.759209189f, 0.650846685f, - -0.760206682f, 0.649681307f, - -0.761202385f, 0.648514401f, - -0.762196298f, 0.647345969f, - -0.763188417f, 0.646176013f, - -0.764178741f, 0.645004537f, - -0.765167266f, 0.643831543f, - -0.766153990f, 0.642657034f, - -0.767138912f, 0.641481013f, - -0.768122029f, 0.640303482f, - -0.769103338f, 0.639124445f, - -0.770082837f, 0.637943904f, - -0.771060524f, 0.636761861f, - -0.772036397f, 0.635578320f, - -0.773010453f, 0.634393284f, - -0.773982691f, 0.633206755f, - -0.774953107f, 0.632018736f, - -0.775921699f, 0.630829230f, - -0.776888466f, 0.629638239f, - -0.777853404f, 0.628445767f, - -0.778816512f, 0.627251815f, - -0.779777788f, 0.626056388f, - -0.780737229f, 0.624859488f, - -0.781694832f, 0.623661118f, - -0.782650596f, 0.622461279f, - -0.783604519f, 0.621259977f, - -0.784556597f, 0.620057212f, - -0.785506830f, 0.618852988f, - -0.786455214f, 0.617647308f, - -0.787401747f, 0.616440175f, - -0.788346428f, 0.615231591f, - -0.789289253f, 0.614021559f, - -0.790230221f, 0.612810082f, - -0.791169330f, 0.611597164f, - -0.792106577f, 0.610382806f, - -0.793041960f, 0.609167012f, - -0.793975478f, 0.607949785f, - -0.794907126f, 0.606731127f, - -0.795836905f, 0.605511041f, - -0.796764810f, 0.604289531f, - -0.797690841f, 0.603066599f, - -0.798614995f, 0.601842247f, - -0.799537269f, 0.600616479f, - -0.800457662f, 0.599389298f, - -0.801376172f, 0.598160707f, - -0.802292796f, 0.596930708f, - -0.803207531f, 0.595699304f, - -0.804120377f, 0.594466499f, - -0.805031331f, 0.593232295f, - -0.805940391f, 0.591996695f, - -0.806847554f, 0.590759702f, - -0.807752818f, 0.589521319f, - -0.808656182f, 0.588281548f, - -0.809557642f, 0.587040394f, - -0.810457198f, 0.585797857f, - -0.811354847f, 0.584553943f, - -0.812250587f, 0.583308653f, - -0.813144415f, 0.582061990f, - -0.814036330f, 0.580813958f, - -0.814926329f, 0.579564559f, - -0.815814411f, 0.578313796f, - -0.816700573f, 0.577061673f, - -0.817584813f, 0.575808191f, - -0.818467130f, 0.574553355f, - -0.819347520f, 0.573297167f, - -0.820225983f, 0.572039629f, - -0.821102515f, 0.570780746f, - -0.821977115f, 0.569520519f, - -0.822849781f, 0.568258953f, - -0.823720511f, 0.566996049f, - -0.824589303f, 0.565731811f, - -0.825456154f, 0.564466242f, - -0.826321063f, 0.563199344f, - -0.827184027f, 0.561931121f, - -0.828045045f, 0.560661576f, - -0.828904115f, 0.559390712f, - -0.829761234f, 0.558118531f, - -0.830616400f, 0.556845037f, - -0.831469612f, 0.555570233f, - -0.832320868f, 0.554294121f, - -0.833170165f, 0.553016706f, - -0.834017501f, 0.551737988f, - -0.834862875f, 0.550457973f, - -0.835706284f, 0.549176662f, - -0.836547727f, 0.547894059f, - -0.837387202f, 0.546610167f, - -0.838224706f, 0.545324988f, - -0.839060237f, 0.544038527f, - -0.839893794f, 0.542750785f, - -0.840725375f, 0.541461766f, - -0.841554977f, 0.540171473f, - -0.842382600f, 0.538879909f, - -0.843208240f, 0.537587076f, - -0.844031895f, 0.536292979f, - -0.844853565f, 0.534997620f, - -0.845673247f, 0.533701002f, - -0.846490939f, 0.532403128f, - -0.847306639f, 0.531104001f, - -0.848120345f, 0.529803625f, - -0.848932055f, 0.528502002f, - -0.849741768f, 0.527199135f, - -0.850549481f, 0.525895027f, - -0.851355193f, 0.524589683f, - -0.852158902f, 0.523283103f, - -0.852960605f, 0.521975293f, - -0.853760301f, 0.520666254f, - -0.854557988f, 0.519355990f, - -0.855353665f, 0.518044504f, - -0.856147328f, 0.516731799f, - -0.856938977f, 0.515417878f, - -0.857728610f, 0.514102744f, - -0.858516224f, 0.512786401f, - -0.859301818f, 0.511468850f, - -0.860085390f, 0.510150097f, - -0.860866939f, 0.508830143f, - -0.861646461f, 0.507508991f, - -0.862423956f, 0.506186645f, - -0.863199422f, 0.504863109f, - -0.863972856f, 0.503538384f, - -0.864744258f, 0.502212474f, - -0.865513624f, 0.500885383f, - -0.866280954f, 0.499557113f, - -0.867046246f, 0.498227667f, - -0.867809497f, 0.496897049f, - -0.868570706f, 0.495565262f, - -0.869329871f, 0.494232309f, - -0.870086991f, 0.492898192f, - -0.870842063f, 0.491562916f, - -0.871595087f, 0.490226483f, - -0.872346059f, 0.488888897f, - -0.873094978f, 0.487550160f, - -0.873841843f, 0.486210276f, - -0.874586652f, 0.484869248f, - -0.875329403f, 0.483527079f, - -0.876070094f, 0.482183772f, - -0.876808724f, 0.480839331f, - -0.877545290f, 0.479493758f, - -0.878279792f, 0.478147056f, - -0.879012226f, 0.476799230f, - -0.879742593f, 0.475450282f, - -0.880470889f, 0.474100215f, - -0.881197113f, 0.472749032f, - -0.881921264f, 0.471396737f, - -0.882643340f, 0.470043332f, - -0.883363339f, 0.468688822f, - -0.884081259f, 0.467333209f, - -0.884797098f, 0.465976496f, - -0.885510856f, 0.464618686f, - -0.886222530f, 0.463259784f, - -0.886932119f, 0.461899791f, - -0.887639620f, 0.460538711f, - -0.888345033f, 0.459176548f, - -0.889048356f, 0.457813304f, - -0.889749586f, 0.456448982f, - -0.890448723f, 0.455083587f, - -0.891145765f, 0.453717121f, - -0.891840709f, 0.452349587f, - -0.892533555f, 0.450980989f, - -0.893224301f, 0.449611330f, - -0.893912945f, 0.448240612f, - -0.894599486f, 0.446868840f, - -0.895283921f, 0.445496017f, - -0.895966250f, 0.444122145f, - -0.896646470f, 0.442747228f, - -0.897324581f, 0.441371269f, - -0.898000580f, 0.439994271f, - -0.898674466f, 0.438616239f, - -0.899346237f, 0.437237174f, - -0.900015892f, 0.435857080f, - -0.900683429f, 0.434475961f, - -0.901348847f, 0.433093819f, - -0.902012144f, 0.431710658f, - -0.902673318f, 0.430326481f, - -0.903332368f, 0.428941292f, - -0.903989293f, 0.427555093f, - -0.904644091f, 0.426167889f, - -0.905296759f, 0.424779681f, - -0.905947298f, 0.423390474f, - -0.906595705f, 0.422000271f, - -0.907241978f, 0.420609074f, - -0.907886116f, 0.419216888f, - -0.908528119f, 0.417823716f, - -0.909167983f, 0.416429560f, - -0.909805708f, 0.415034424f, - -0.910441292f, 0.413638312f, - -0.911074734f, 0.412241227f, - -0.911706032f, 0.410843171f, - -0.912335185f, 0.409444149f, - -0.912962190f, 0.408044163f, - -0.913587048f, 0.406643217f, - -0.914209756f, 0.405241314f, - -0.914830312f, 0.403838458f, - -0.915448716f, 0.402434651f, - -0.916064966f, 0.401029897f, - -0.916679060f, 0.399624200f, - -0.917290997f, 0.398217562f, - -0.917900776f, 0.396809987f, - -0.918508394f, 0.395401479f, - -0.919113852f, 0.393992040f, - -0.919717146f, 0.392581674f, - -0.920318277f, 0.391170384f, - -0.920917242f, 0.389758174f, - -0.921514039f, 0.388345047f, - -0.922108669f, 0.386931006f, - -0.922701128f, 0.385516054f, - -0.923291417f, 0.384100195f, - -0.923879533f, 0.382683432f, - -0.924465474f, 0.381265769f, - -0.925049241f, 0.379847209f, - -0.925630831f, 0.378427755f, - -0.926210242f, 0.377007410f, - -0.926787474f, 0.375586178f, - -0.927362526f, 0.374164063f, - -0.927935395f, 0.372741067f, - -0.928506080f, 0.371317194f, - -0.929074581f, 0.369892447f, - -0.929640896f, 0.368466830f, - -0.930205023f, 0.367040346f, - -0.930766961f, 0.365612998f, - -0.931326709f, 0.364184790f, - -0.931884266f, 0.362755724f, - -0.932439629f, 0.361325806f, - -0.932992799f, 0.359895037f, - -0.933543773f, 0.358463421f, - -0.934092550f, 0.357030961f, - -0.934639130f, 0.355597662f, - -0.935183510f, 0.354163525f, - -0.935725689f, 0.352728556f, - -0.936265667f, 0.351292756f, - -0.936803442f, 0.349856130f, - -0.937339012f, 0.348418680f, - -0.937872376f, 0.346980411f, - -0.938403534f, 0.345541325f, - -0.938932484f, 0.344101426f, - -0.939459224f, 0.342660717f, - -0.939983753f, 0.341219202f, - -0.940506071f, 0.339776884f, - -0.941026175f, 0.338333767f, - -0.941544065f, 0.336889853f, - -0.942059740f, 0.335445147f, - -0.942573198f, 0.333999651f, - -0.943084437f, 0.332553370f, - -0.943593458f, 0.331106306f, - -0.944100258f, 0.329658463f, - -0.944604837f, 0.328209844f, - -0.945107193f, 0.326760452f, - -0.945607325f, 0.325310292f, - -0.946105232f, 0.323859367f, - -0.946600913f, 0.322407679f, - -0.947094366f, 0.320955232f, - -0.947585591f, 0.319502031f, - -0.948074586f, 0.318048077f, - -0.948561350f, 0.316593376f, - -0.949045882f, 0.315137929f, - -0.949528181f, 0.313681740f, - -0.950008245f, 0.312224814f, - -0.950486074f, 0.310767153f, - -0.950961666f, 0.309308760f, - -0.951435021f, 0.307849640f, - -0.951906137f, 0.306389795f, - -0.952375013f, 0.304929230f, - -0.952841648f, 0.303467947f, - -0.953306040f, 0.302005949f, - -0.953768190f, 0.300543241f, - -0.954228095f, 0.299079826f, - -0.954685755f, 0.297615707f, - -0.955141168f, 0.296150888f, - -0.955594334f, 0.294685372f, - -0.956045251f, 0.293219163f, - -0.956493919f, 0.291752263f, - -0.956940336f, 0.290284677f, - -0.957384501f, 0.288816408f, - -0.957826413f, 0.287347460f, - -0.958266071f, 0.285877835f, - -0.958703475f, 0.284407537f, - -0.959138622f, 0.282936570f, - -0.959571513f, 0.281464938f, - -0.960002146f, 0.279992643f, - -0.960430519f, 0.278519689f, - -0.960856633f, 0.277046080f, - -0.961280486f, 0.275571819f, - -0.961702077f, 0.274096910f, - -0.962121404f, 0.272621355f, - -0.962538468f, 0.271145160f, - -0.962953267f, 0.269668326f, - -0.963365800f, 0.268190857f, - -0.963776066f, 0.266712757f, - -0.964184064f, 0.265234030f, - -0.964589793f, 0.263754679f, - -0.964993253f, 0.262274707f, - -0.965394442f, 0.260794118f, - -0.965793359f, 0.259312915f, - -0.966190003f, 0.257831102f, - -0.966584374f, 0.256348682f, - -0.966976471f, 0.254865660f, - -0.967366292f, 0.253382037f, - -0.967753837f, 0.251897818f, - -0.968139105f, 0.250413007f, - -0.968522094f, 0.248927606f, - -0.968902805f, 0.247441619f, - -0.969281235f, 0.245955050f, - -0.969657385f, 0.244467903f, - -0.970031253f, 0.242980180f, - -0.970402839f, 0.241491885f, - -0.970772141f, 0.240003022f, - -0.971139158f, 0.238513595f, - -0.971503891f, 0.237023606f, - -0.971866337f, 0.235533059f, - -0.972226497f, 0.234041959f, - -0.972584369f, 0.232550307f, - -0.972939952f, 0.231058108f, - -0.973293246f, 0.229565366f, - -0.973644250f, 0.228072083f, - -0.973992962f, 0.226578264f, - -0.974339383f, 0.225083911f, - -0.974683511f, 0.223589029f, - -0.975025345f, 0.222093621f, - -0.975364885f, 0.220597690f, - -0.975702130f, 0.219101240f, - -0.976037079f, 0.217604275f, - -0.976369731f, 0.216106797f, - -0.976700086f, 0.214608811f, - -0.977028143f, 0.213110320f, - -0.977353900f, 0.211611327f, - -0.977677358f, 0.210111837f, - -0.977998515f, 0.208611852f, - -0.978317371f, 0.207111376f, - -0.978633924f, 0.205610413f, - -0.978948175f, 0.204108966f, - -0.979260123f, 0.202607039f, - -0.979569766f, 0.201104635f, - -0.979877104f, 0.199601758f, - -0.980182136f, 0.198098411f, - -0.980484862f, 0.196594598f, - -0.980785280f, 0.195090322f, - -0.981083391f, 0.193585587f, - -0.981379193f, 0.192080397f, - -0.981672686f, 0.190574755f, - -0.981963869f, 0.189068664f, - -0.982252741f, 0.187562129f, - -0.982539302f, 0.186055152f, - -0.982823551f, 0.184547737f, - -0.983105487f, 0.183039888f, - -0.983385110f, 0.181531608f, - -0.983662419f, 0.180022901f, - -0.983937413f, 0.178513771f, - -0.984210092f, 0.177004220f, - -0.984480455f, 0.175494253f, - -0.984748502f, 0.173983873f, - -0.985014231f, 0.172473084f, - -0.985277642f, 0.170961889f, - -0.985538735f, 0.169450291f, - -0.985797509f, 0.167938295f, - -0.986053963f, 0.166425904f, - -0.986308097f, 0.164913120f, - -0.986559910f, 0.163399949f, - -0.986809402f, 0.161886394f, - -0.987056571f, 0.160372457f, - -0.987301418f, 0.158858143f, - -0.987543942f, 0.157343456f, - -0.987784142f, 0.155828398f, - -0.988022017f, 0.154312973f, - -0.988257568f, 0.152797185f, - -0.988490793f, 0.151281038f, - -0.988721692f, 0.149764535f, - -0.988950265f, 0.148247679f, - -0.989176510f, 0.146730474f, - -0.989400428f, 0.145212925f, - -0.989622017f, 0.143695033f, - -0.989841278f, 0.142176804f, - -0.990058210f, 0.140658239f, - -0.990272812f, 0.139139344f, - -0.990485084f, 0.137620122f, - -0.990695025f, 0.136100575f, - -0.990902635f, 0.134580709f, - -0.991107914f, 0.133060525f, - -0.991310860f, 0.131540029f, - -0.991511473f, 0.130019223f, - -0.991709754f, 0.128498111f, - -0.991905700f, 0.126976696f, - -0.992099313f, 0.125454983f, - -0.992290591f, 0.123932975f, - -0.992479535f, 0.122410675f, - -0.992666142f, 0.120888087f, - -0.992850414f, 0.119365215f, - -0.993032350f, 0.117842062f, - -0.993211949f, 0.116318631f, - -0.993389211f, 0.114794927f, - -0.993564136f, 0.113270952f, - -0.993736722f, 0.111746711f, - -0.993906970f, 0.110222207f, - -0.994074879f, 0.108697444f, - -0.994240449f, 0.107172425f, - -0.994403680f, 0.105647154f, - -0.994564571f, 0.104121634f, - -0.994723121f, 0.102595869f, - -0.994879331f, 0.101069863f, - -0.995033199f, 0.099543619f, - -0.995184727f, 0.098017140f, - -0.995333912f, 0.096490431f, - -0.995480755f, 0.094963495f, - -0.995625256f, 0.093436336f, - -0.995767414f, 0.091908956f, - -0.995907229f, 0.090381361f, - -0.996044701f, 0.088853553f, - -0.996179829f, 0.087325535f, - -0.996312612f, 0.085797312f, - -0.996443051f, 0.084268888f, - -0.996571146f, 0.082740265f, - -0.996696895f, 0.081211447f, - -0.996820299f, 0.079682438f, - -0.996941358f, 0.078153242f, - -0.997060070f, 0.076623861f, - -0.997176437f, 0.075094301f, - -0.997290457f, 0.073564564f, - -0.997402130f, 0.072034653f, - -0.997511456f, 0.070504573f, - -0.997618435f, 0.068974328f, - -0.997723067f, 0.067443920f, - -0.997825350f, 0.065913353f, - -0.997925286f, 0.064382631f, - -0.998022874f, 0.062851758f, - -0.998118113f, 0.061320736f, - -0.998211003f, 0.059789571f, - -0.998301545f, 0.058258265f, - -0.998389737f, 0.056726821f, - -0.998475581f, 0.055195244f, - -0.998559074f, 0.053663538f, - -0.998640218f, 0.052131705f, - -0.998719012f, 0.050599749f, - -0.998795456f, 0.049067674f, - -0.998869550f, 0.047535484f, - -0.998941293f, 0.046003182f, - -0.999010686f, 0.044470772f, - -0.999077728f, 0.042938257f, - -0.999142419f, 0.041405641f, - -0.999204759f, 0.039872928f, - -0.999264747f, 0.038340120f, - -0.999322385f, 0.036807223f, - -0.999377670f, 0.035274239f, - -0.999430605f, 0.033741172f, - -0.999481187f, 0.032208025f, - -0.999529418f, 0.030674803f, - -0.999575296f, 0.029141509f, - -0.999618822f, 0.027608146f, - -0.999659997f, 0.026074718f, - -0.999698819f, 0.024541229f, - -0.999735288f, 0.023007681f, - -0.999769405f, 0.021474080f, - -0.999801170f, 0.019940429f, - -0.999830582f, 0.018406730f, - -0.999857641f, 0.016872988f, - -0.999882347f, 0.015339206f, - -0.999904701f, 0.013805389f, - -0.999924702f, 0.012271538f, - -0.999942350f, 0.010737659f, - -0.999957645f, 0.009203755f, - -0.999970586f, 0.007669829f, - -0.999981175f, 0.006135885f, - -0.999989411f, 0.004601926f, - -0.999995294f, 0.003067957f, - -0.999998823f, 0.001533980f, - -1.000000000f, 0.000000000f, - -0.999998823f, -0.001533980f, - -0.999995294f, -0.003067957f, - -0.999989411f, -0.004601926f, - -0.999981175f, -0.006135885f, - -0.999970586f, -0.007669829f, - -0.999957645f, -0.009203755f, - -0.999942350f, -0.010737659f, - -0.999924702f, -0.012271538f, - -0.999904701f, -0.013805389f, - -0.999882347f, -0.015339206f, - -0.999857641f, -0.016872988f, - -0.999830582f, -0.018406730f, - -0.999801170f, -0.019940429f, - -0.999769405f, -0.021474080f, - -0.999735288f, -0.023007681f, - -0.999698819f, -0.024541229f, - -0.999659997f, -0.026074718f, - -0.999618822f, -0.027608146f, - -0.999575296f, -0.029141509f, - -0.999529418f, -0.030674803f, - -0.999481187f, -0.032208025f, - -0.999430605f, -0.033741172f, - -0.999377670f, -0.035274239f, - -0.999322385f, -0.036807223f, - -0.999264747f, -0.038340120f, - -0.999204759f, -0.039872928f, - -0.999142419f, -0.041405641f, - -0.999077728f, -0.042938257f, - -0.999010686f, -0.044470772f, - -0.998941293f, -0.046003182f, - -0.998869550f, -0.047535484f, - -0.998795456f, -0.049067674f, - -0.998719012f, -0.050599749f, - -0.998640218f, -0.052131705f, - -0.998559074f, -0.053663538f, - -0.998475581f, -0.055195244f, - -0.998389737f, -0.056726821f, - -0.998301545f, -0.058258265f, - -0.998211003f, -0.059789571f, - -0.998118113f, -0.061320736f, - -0.998022874f, -0.062851758f, - -0.997925286f, -0.064382631f, - -0.997825350f, -0.065913353f, - -0.997723067f, -0.067443920f, - -0.997618435f, -0.068974328f, - -0.997511456f, -0.070504573f, - -0.997402130f, -0.072034653f, - -0.997290457f, -0.073564564f, - -0.997176437f, -0.075094301f, - -0.997060070f, -0.076623861f, - -0.996941358f, -0.078153242f, - -0.996820299f, -0.079682438f, - -0.996696895f, -0.081211447f, - -0.996571146f, -0.082740265f, - -0.996443051f, -0.084268888f, - -0.996312612f, -0.085797312f, - -0.996179829f, -0.087325535f, - -0.996044701f, -0.088853553f, - -0.995907229f, -0.090381361f, - -0.995767414f, -0.091908956f, - -0.995625256f, -0.093436336f, - -0.995480755f, -0.094963495f, - -0.995333912f, -0.096490431f, - -0.995184727f, -0.098017140f, - -0.995033199f, -0.099543619f, - -0.994879331f, -0.101069863f, - -0.994723121f, -0.102595869f, - -0.994564571f, -0.104121634f, - -0.994403680f, -0.105647154f, - -0.994240449f, -0.107172425f, - -0.994074879f, -0.108697444f, - -0.993906970f, -0.110222207f, - -0.993736722f, -0.111746711f, - -0.993564136f, -0.113270952f, - -0.993389211f, -0.114794927f, - -0.993211949f, -0.116318631f, - -0.993032350f, -0.117842062f, - -0.992850414f, -0.119365215f, - -0.992666142f, -0.120888087f, - -0.992479535f, -0.122410675f, - -0.992290591f, -0.123932975f, - -0.992099313f, -0.125454983f, - -0.991905700f, -0.126976696f, - -0.991709754f, -0.128498111f, - -0.991511473f, -0.130019223f, - -0.991310860f, -0.131540029f, - -0.991107914f, -0.133060525f, - -0.990902635f, -0.134580709f, - -0.990695025f, -0.136100575f, - -0.990485084f, -0.137620122f, - -0.990272812f, -0.139139344f, - -0.990058210f, -0.140658239f, - -0.989841278f, -0.142176804f, - -0.989622017f, -0.143695033f, - -0.989400428f, -0.145212925f, - -0.989176510f, -0.146730474f, - -0.988950265f, -0.148247679f, - -0.988721692f, -0.149764535f, - -0.988490793f, -0.151281038f, - -0.988257568f, -0.152797185f, - -0.988022017f, -0.154312973f, - -0.987784142f, -0.155828398f, - -0.987543942f, -0.157343456f, - -0.987301418f, -0.158858143f, - -0.987056571f, -0.160372457f, - -0.986809402f, -0.161886394f, - -0.986559910f, -0.163399949f, - -0.986308097f, -0.164913120f, - -0.986053963f, -0.166425904f, - -0.985797509f, -0.167938295f, - -0.985538735f, -0.169450291f, - -0.985277642f, -0.170961889f, - -0.985014231f, -0.172473084f, - -0.984748502f, -0.173983873f, - -0.984480455f, -0.175494253f, - -0.984210092f, -0.177004220f, - -0.983937413f, -0.178513771f, - -0.983662419f, -0.180022901f, - -0.983385110f, -0.181531608f, - -0.983105487f, -0.183039888f, - -0.982823551f, -0.184547737f, - -0.982539302f, -0.186055152f, - -0.982252741f, -0.187562129f, - -0.981963869f, -0.189068664f, - -0.981672686f, -0.190574755f, - -0.981379193f, -0.192080397f, - -0.981083391f, -0.193585587f, - -0.980785280f, -0.195090322f, - -0.980484862f, -0.196594598f, - -0.980182136f, -0.198098411f, - -0.979877104f, -0.199601758f, - -0.979569766f, -0.201104635f, - -0.979260123f, -0.202607039f, - -0.978948175f, -0.204108966f, - -0.978633924f, -0.205610413f, - -0.978317371f, -0.207111376f, - -0.977998515f, -0.208611852f, - -0.977677358f, -0.210111837f, - -0.977353900f, -0.211611327f, - -0.977028143f, -0.213110320f, - -0.976700086f, -0.214608811f, - -0.976369731f, -0.216106797f, - -0.976037079f, -0.217604275f, - -0.975702130f, -0.219101240f, - -0.975364885f, -0.220597690f, - -0.975025345f, -0.222093621f, - -0.974683511f, -0.223589029f, - -0.974339383f, -0.225083911f, - -0.973992962f, -0.226578264f, - -0.973644250f, -0.228072083f, - -0.973293246f, -0.229565366f, - -0.972939952f, -0.231058108f, - -0.972584369f, -0.232550307f, - -0.972226497f, -0.234041959f, - -0.971866337f, -0.235533059f, - -0.971503891f, -0.237023606f, - -0.971139158f, -0.238513595f, - -0.970772141f, -0.240003022f, - -0.970402839f, -0.241491885f, - -0.970031253f, -0.242980180f, - -0.969657385f, -0.244467903f, - -0.969281235f, -0.245955050f, - -0.968902805f, -0.247441619f, - -0.968522094f, -0.248927606f, - -0.968139105f, -0.250413007f, - -0.967753837f, -0.251897818f, - -0.967366292f, -0.253382037f, - -0.966976471f, -0.254865660f, - -0.966584374f, -0.256348682f, - -0.966190003f, -0.257831102f, - -0.965793359f, -0.259312915f, - -0.965394442f, -0.260794118f, - -0.964993253f, -0.262274707f, - -0.964589793f, -0.263754679f, - -0.964184064f, -0.265234030f, - -0.963776066f, -0.266712757f, - -0.963365800f, -0.268190857f, - -0.962953267f, -0.269668326f, - -0.962538468f, -0.271145160f, - -0.962121404f, -0.272621355f, - -0.961702077f, -0.274096910f, - -0.961280486f, -0.275571819f, - -0.960856633f, -0.277046080f, - -0.960430519f, -0.278519689f, - -0.960002146f, -0.279992643f, - -0.959571513f, -0.281464938f, - -0.959138622f, -0.282936570f, - -0.958703475f, -0.284407537f, - -0.958266071f, -0.285877835f, - -0.957826413f, -0.287347460f, - -0.957384501f, -0.288816408f, - -0.956940336f, -0.290284677f, - -0.956493919f, -0.291752263f, - -0.956045251f, -0.293219163f, - -0.955594334f, -0.294685372f, - -0.955141168f, -0.296150888f, - -0.954685755f, -0.297615707f, - -0.954228095f, -0.299079826f, - -0.953768190f, -0.300543241f, - -0.953306040f, -0.302005949f, - -0.952841648f, -0.303467947f, - -0.952375013f, -0.304929230f, - -0.951906137f, -0.306389795f, - -0.951435021f, -0.307849640f, - -0.950961666f, -0.309308760f, - -0.950486074f, -0.310767153f, - -0.950008245f, -0.312224814f, - -0.949528181f, -0.313681740f, - -0.949045882f, -0.315137929f, - -0.948561350f, -0.316593376f, - -0.948074586f, -0.318048077f, - -0.947585591f, -0.319502031f, - -0.947094366f, -0.320955232f, - -0.946600913f, -0.322407679f, - -0.946105232f, -0.323859367f, - -0.945607325f, -0.325310292f, - -0.945107193f, -0.326760452f, - -0.944604837f, -0.328209844f, - -0.944100258f, -0.329658463f, - -0.943593458f, -0.331106306f, - -0.943084437f, -0.332553370f, - -0.942573198f, -0.333999651f, - -0.942059740f, -0.335445147f, - -0.941544065f, -0.336889853f, - -0.941026175f, -0.338333767f, - -0.940506071f, -0.339776884f, - -0.939983753f, -0.341219202f, - -0.939459224f, -0.342660717f, - -0.938932484f, -0.344101426f, - -0.938403534f, -0.345541325f, - -0.937872376f, -0.346980411f, - -0.937339012f, -0.348418680f, - -0.936803442f, -0.349856130f, - -0.936265667f, -0.351292756f, - -0.935725689f, -0.352728556f, - -0.935183510f, -0.354163525f, - -0.934639130f, -0.355597662f, - -0.934092550f, -0.357030961f, - -0.933543773f, -0.358463421f, - -0.932992799f, -0.359895037f, - -0.932439629f, -0.361325806f, - -0.931884266f, -0.362755724f, - -0.931326709f, -0.364184790f, - -0.930766961f, -0.365612998f, - -0.930205023f, -0.367040346f, - -0.929640896f, -0.368466830f, - -0.929074581f, -0.369892447f, - -0.928506080f, -0.371317194f, - -0.927935395f, -0.372741067f, - -0.927362526f, -0.374164063f, - -0.926787474f, -0.375586178f, - -0.926210242f, -0.377007410f, - -0.925630831f, -0.378427755f, - -0.925049241f, -0.379847209f, - -0.924465474f, -0.381265769f, - -0.923879533f, -0.382683432f, - -0.923291417f, -0.384100195f, - -0.922701128f, -0.385516054f, - -0.922108669f, -0.386931006f, - -0.921514039f, -0.388345047f, - -0.920917242f, -0.389758174f, - -0.920318277f, -0.391170384f, - -0.919717146f, -0.392581674f, - -0.919113852f, -0.393992040f, - -0.918508394f, -0.395401479f, - -0.917900776f, -0.396809987f, - -0.917290997f, -0.398217562f, - -0.916679060f, -0.399624200f, - -0.916064966f, -0.401029897f, - -0.915448716f, -0.402434651f, - -0.914830312f, -0.403838458f, - -0.914209756f, -0.405241314f, - -0.913587048f, -0.406643217f, - -0.912962190f, -0.408044163f, - -0.912335185f, -0.409444149f, - -0.911706032f, -0.410843171f, - -0.911074734f, -0.412241227f, - -0.910441292f, -0.413638312f, - -0.909805708f, -0.415034424f, - -0.909167983f, -0.416429560f, - -0.908528119f, -0.417823716f, - -0.907886116f, -0.419216888f, - -0.907241978f, -0.420609074f, - -0.906595705f, -0.422000271f, - -0.905947298f, -0.423390474f, - -0.905296759f, -0.424779681f, - -0.904644091f, -0.426167889f, - -0.903989293f, -0.427555093f, - -0.903332368f, -0.428941292f, - -0.902673318f, -0.430326481f, - -0.902012144f, -0.431710658f, - -0.901348847f, -0.433093819f, - -0.900683429f, -0.434475961f, - -0.900015892f, -0.435857080f, - -0.899346237f, -0.437237174f, - -0.898674466f, -0.438616239f, - -0.898000580f, -0.439994271f, - -0.897324581f, -0.441371269f, - -0.896646470f, -0.442747228f, - -0.895966250f, -0.444122145f, - -0.895283921f, -0.445496017f, - -0.894599486f, -0.446868840f, - -0.893912945f, -0.448240612f, - -0.893224301f, -0.449611330f, - -0.892533555f, -0.450980989f, - -0.891840709f, -0.452349587f, - -0.891145765f, -0.453717121f, - -0.890448723f, -0.455083587f, - -0.889749586f, -0.456448982f, - -0.889048356f, -0.457813304f, - -0.888345033f, -0.459176548f, - -0.887639620f, -0.460538711f, - -0.886932119f, -0.461899791f, - -0.886222530f, -0.463259784f, - -0.885510856f, -0.464618686f, - -0.884797098f, -0.465976496f, - -0.884081259f, -0.467333209f, - -0.883363339f, -0.468688822f, - -0.882643340f, -0.470043332f, - -0.881921264f, -0.471396737f, - -0.881197113f, -0.472749032f, - -0.880470889f, -0.474100215f, - -0.879742593f, -0.475450282f, - -0.879012226f, -0.476799230f, - -0.878279792f, -0.478147056f, - -0.877545290f, -0.479493758f, - -0.876808724f, -0.480839331f, - -0.876070094f, -0.482183772f, - -0.875329403f, -0.483527079f, - -0.874586652f, -0.484869248f, - -0.873841843f, -0.486210276f, - -0.873094978f, -0.487550160f, - -0.872346059f, -0.488888897f, - -0.871595087f, -0.490226483f, - -0.870842063f, -0.491562916f, - -0.870086991f, -0.492898192f, - -0.869329871f, -0.494232309f, - -0.868570706f, -0.495565262f, - -0.867809497f, -0.496897049f, - -0.867046246f, -0.498227667f, - -0.866280954f, -0.499557113f, - -0.865513624f, -0.500885383f, - -0.864744258f, -0.502212474f, - -0.863972856f, -0.503538384f, - -0.863199422f, -0.504863109f, - -0.862423956f, -0.506186645f, - -0.861646461f, -0.507508991f, - -0.860866939f, -0.508830143f, - -0.860085390f, -0.510150097f, - -0.859301818f, -0.511468850f, - -0.858516224f, -0.512786401f, - -0.857728610f, -0.514102744f, - -0.856938977f, -0.515417878f, - -0.856147328f, -0.516731799f, - -0.855353665f, -0.518044504f, - -0.854557988f, -0.519355990f, - -0.853760301f, -0.520666254f, - -0.852960605f, -0.521975293f, - -0.852158902f, -0.523283103f, - -0.851355193f, -0.524589683f, - -0.850549481f, -0.525895027f, - -0.849741768f, -0.527199135f, - -0.848932055f, -0.528502002f, - -0.848120345f, -0.529803625f, - -0.847306639f, -0.531104001f, - -0.846490939f, -0.532403128f, - -0.845673247f, -0.533701002f, - -0.844853565f, -0.534997620f, - -0.844031895f, -0.536292979f, - -0.843208240f, -0.537587076f, - -0.842382600f, -0.538879909f, - -0.841554977f, -0.540171473f, - -0.840725375f, -0.541461766f, - -0.839893794f, -0.542750785f, - -0.839060237f, -0.544038527f, - -0.838224706f, -0.545324988f, - -0.837387202f, -0.546610167f, - -0.836547727f, -0.547894059f, - -0.835706284f, -0.549176662f, - -0.834862875f, -0.550457973f, - -0.834017501f, -0.551737988f, - -0.833170165f, -0.553016706f, - -0.832320868f, -0.554294121f, - -0.831469612f, -0.555570233f, - -0.830616400f, -0.556845037f, - -0.829761234f, -0.558118531f, - -0.828904115f, -0.559390712f, - -0.828045045f, -0.560661576f, - -0.827184027f, -0.561931121f, - -0.826321063f, -0.563199344f, - -0.825456154f, -0.564466242f, - -0.824589303f, -0.565731811f, - -0.823720511f, -0.566996049f, - -0.822849781f, -0.568258953f, - -0.821977115f, -0.569520519f, - -0.821102515f, -0.570780746f, - -0.820225983f, -0.572039629f, - -0.819347520f, -0.573297167f, - -0.818467130f, -0.574553355f, - -0.817584813f, -0.575808191f, - -0.816700573f, -0.577061673f, - -0.815814411f, -0.578313796f, - -0.814926329f, -0.579564559f, - -0.814036330f, -0.580813958f, - -0.813144415f, -0.582061990f, - -0.812250587f, -0.583308653f, - -0.811354847f, -0.584553943f, - -0.810457198f, -0.585797857f, - -0.809557642f, -0.587040394f, - -0.808656182f, -0.588281548f, - -0.807752818f, -0.589521319f, - -0.806847554f, -0.590759702f, - -0.805940391f, -0.591996695f, - -0.805031331f, -0.593232295f, - -0.804120377f, -0.594466499f, - -0.803207531f, -0.595699304f, - -0.802292796f, -0.596930708f, - -0.801376172f, -0.598160707f, - -0.800457662f, -0.599389298f, - -0.799537269f, -0.600616479f, - -0.798614995f, -0.601842247f, - -0.797690841f, -0.603066599f, - -0.796764810f, -0.604289531f, - -0.795836905f, -0.605511041f, - -0.794907126f, -0.606731127f, - -0.793975478f, -0.607949785f, - -0.793041960f, -0.609167012f, - -0.792106577f, -0.610382806f, - -0.791169330f, -0.611597164f, - -0.790230221f, -0.612810082f, - -0.789289253f, -0.614021559f, - -0.788346428f, -0.615231591f, - -0.787401747f, -0.616440175f, - -0.786455214f, -0.617647308f, - -0.785506830f, -0.618852988f, - -0.784556597f, -0.620057212f, - -0.783604519f, -0.621259977f, - -0.782650596f, -0.622461279f, - -0.781694832f, -0.623661118f, - -0.780737229f, -0.624859488f, - -0.779777788f, -0.626056388f, - -0.778816512f, -0.627251815f, - -0.777853404f, -0.628445767f, - -0.776888466f, -0.629638239f, - -0.775921699f, -0.630829230f, - -0.774953107f, -0.632018736f, - -0.773982691f, -0.633206755f, - -0.773010453f, -0.634393284f, - -0.772036397f, -0.635578320f, - -0.771060524f, -0.636761861f, - -0.770082837f, -0.637943904f, - -0.769103338f, -0.639124445f, - -0.768122029f, -0.640303482f, - -0.767138912f, -0.641481013f, - -0.766153990f, -0.642657034f, - -0.765167266f, -0.643831543f, - -0.764178741f, -0.645004537f, - -0.763188417f, -0.646176013f, - -0.762196298f, -0.647345969f, - -0.761202385f, -0.648514401f, - -0.760206682f, -0.649681307f, - -0.759209189f, -0.650846685f, - -0.758209910f, -0.652010531f, - -0.757208847f, -0.653172843f, - -0.756206001f, -0.654333618f, - -0.755201377f, -0.655492853f, - -0.754194975f, -0.656650546f, - -0.753186799f, -0.657806693f, - -0.752176850f, -0.658961293f, - -0.751165132f, -0.660114342f, - -0.750151646f, -0.661265838f, - -0.749136395f, -0.662415778f, - -0.748119380f, -0.663564159f, - -0.747100606f, -0.664710978f, - -0.746080074f, -0.665856234f, - -0.745057785f, -0.666999922f, - -0.744033744f, -0.668142041f, - -0.743007952f, -0.669282588f, - -0.741980412f, -0.670421560f, - -0.740951125f, -0.671558955f, - -0.739920095f, -0.672694769f, - -0.738887324f, -0.673829000f, - -0.737852815f, -0.674961646f, - -0.736816569f, -0.676092704f, - -0.735778589f, -0.677222170f, - -0.734738878f, -0.678350043f, - -0.733697438f, -0.679476320f, - -0.732654272f, -0.680600998f, - -0.731609381f, -0.681724074f, - -0.730562769f, -0.682845546f, - -0.729514438f, -0.683965412f, - -0.728464390f, -0.685083668f, - -0.727412629f, -0.686200312f, - -0.726359155f, -0.687315341f, - -0.725303972f, -0.688428753f, - -0.724247083f, -0.689540545f, - -0.723188489f, -0.690650714f, - -0.722128194f, -0.691759258f, - -0.721066199f, -0.692866175f, - -0.720002508f, -0.693971461f, - -0.718937122f, -0.695075114f, - -0.717870045f, -0.696177131f, - -0.716801279f, -0.697277511f, - -0.715730825f, -0.698376249f, - -0.714658688f, -0.699473345f, - -0.713584869f, -0.700568794f, - -0.712509371f, -0.701662595f, - -0.711432196f, -0.702754744f, - -0.710353347f, -0.703845241f, - -0.709272826f, -0.704934080f, - -0.708190637f, -0.706021261f, - -0.707106781f, -0.707106781f, - -0.706021261f, -0.708190637f, - -0.704934080f, -0.709272826f, - -0.703845241f, -0.710353347f, - -0.702754744f, -0.711432196f, - -0.701662595f, -0.712509371f, - -0.700568794f, -0.713584869f, - -0.699473345f, -0.714658688f, - -0.698376249f, -0.715730825f, - -0.697277511f, -0.716801279f, - -0.696177131f, -0.717870045f, - -0.695075114f, -0.718937122f, - -0.693971461f, -0.720002508f, - -0.692866175f, -0.721066199f, - -0.691759258f, -0.722128194f, - -0.690650714f, -0.723188489f, - -0.689540545f, -0.724247083f, - -0.688428753f, -0.725303972f, - -0.687315341f, -0.726359155f, - -0.686200312f, -0.727412629f, - -0.685083668f, -0.728464390f, - -0.683965412f, -0.729514438f, - -0.682845546f, -0.730562769f, - -0.681724074f, -0.731609381f, - -0.680600998f, -0.732654272f, - -0.679476320f, -0.733697438f, - -0.678350043f, -0.734738878f, - -0.677222170f, -0.735778589f, - -0.676092704f, -0.736816569f, - -0.674961646f, -0.737852815f, - -0.673829000f, -0.738887324f, - -0.672694769f, -0.739920095f, - -0.671558955f, -0.740951125f, - -0.670421560f, -0.741980412f, - -0.669282588f, -0.743007952f, - -0.668142041f, -0.744033744f, - -0.666999922f, -0.745057785f, - -0.665856234f, -0.746080074f, - -0.664710978f, -0.747100606f, - -0.663564159f, -0.748119380f, - -0.662415778f, -0.749136395f, - -0.661265838f, -0.750151646f, - -0.660114342f, -0.751165132f, - -0.658961293f, -0.752176850f, - -0.657806693f, -0.753186799f, - -0.656650546f, -0.754194975f, - -0.655492853f, -0.755201377f, - -0.654333618f, -0.756206001f, - -0.653172843f, -0.757208847f, - -0.652010531f, -0.758209910f, - -0.650846685f, -0.759209189f, - -0.649681307f, -0.760206682f, - -0.648514401f, -0.761202385f, - -0.647345969f, -0.762196298f, - -0.646176013f, -0.763188417f, - -0.645004537f, -0.764178741f, - -0.643831543f, -0.765167266f, - -0.642657034f, -0.766153990f, - -0.641481013f, -0.767138912f, - -0.640303482f, -0.768122029f, - -0.639124445f, -0.769103338f, - -0.637943904f, -0.770082837f, - -0.636761861f, -0.771060524f, - -0.635578320f, -0.772036397f, - -0.634393284f, -0.773010453f, - -0.633206755f, -0.773982691f, - -0.632018736f, -0.774953107f, - -0.630829230f, -0.775921699f, - -0.629638239f, -0.776888466f, - -0.628445767f, -0.777853404f, - -0.627251815f, -0.778816512f, - -0.626056388f, -0.779777788f, - -0.624859488f, -0.780737229f, - -0.623661118f, -0.781694832f, - -0.622461279f, -0.782650596f, - -0.621259977f, -0.783604519f, - -0.620057212f, -0.784556597f, - -0.618852988f, -0.785506830f, - -0.617647308f, -0.786455214f, - -0.616440175f, -0.787401747f, - -0.615231591f, -0.788346428f, - -0.614021559f, -0.789289253f, - -0.612810082f, -0.790230221f, - -0.611597164f, -0.791169330f, - -0.610382806f, -0.792106577f, - -0.609167012f, -0.793041960f, - -0.607949785f, -0.793975478f, - -0.606731127f, -0.794907126f, - -0.605511041f, -0.795836905f, - -0.604289531f, -0.796764810f, - -0.603066599f, -0.797690841f, - -0.601842247f, -0.798614995f, - -0.600616479f, -0.799537269f, - -0.599389298f, -0.800457662f, - -0.598160707f, -0.801376172f, - -0.596930708f, -0.802292796f, - -0.595699304f, -0.803207531f, - -0.594466499f, -0.804120377f, - -0.593232295f, -0.805031331f, - -0.591996695f, -0.805940391f, - -0.590759702f, -0.806847554f, - -0.589521319f, -0.807752818f, - -0.588281548f, -0.808656182f, - -0.587040394f, -0.809557642f, - -0.585797857f, -0.810457198f, - -0.584553943f, -0.811354847f, - -0.583308653f, -0.812250587f, - -0.582061990f, -0.813144415f, - -0.580813958f, -0.814036330f, - -0.579564559f, -0.814926329f, - -0.578313796f, -0.815814411f, - -0.577061673f, -0.816700573f, - -0.575808191f, -0.817584813f, - -0.574553355f, -0.818467130f, - -0.573297167f, -0.819347520f, - -0.572039629f, -0.820225983f, - -0.570780746f, -0.821102515f, - -0.569520519f, -0.821977115f, - -0.568258953f, -0.822849781f, - -0.566996049f, -0.823720511f, - -0.565731811f, -0.824589303f, - -0.564466242f, -0.825456154f, - -0.563199344f, -0.826321063f, - -0.561931121f, -0.827184027f, - -0.560661576f, -0.828045045f, - -0.559390712f, -0.828904115f, - -0.558118531f, -0.829761234f, - -0.556845037f, -0.830616400f, - -0.555570233f, -0.831469612f, - -0.554294121f, -0.832320868f, - -0.553016706f, -0.833170165f, - -0.551737988f, -0.834017501f, - -0.550457973f, -0.834862875f, - -0.549176662f, -0.835706284f, - -0.547894059f, -0.836547727f, - -0.546610167f, -0.837387202f, - -0.545324988f, -0.838224706f, - -0.544038527f, -0.839060237f, - -0.542750785f, -0.839893794f, - -0.541461766f, -0.840725375f, - -0.540171473f, -0.841554977f, - -0.538879909f, -0.842382600f, - -0.537587076f, -0.843208240f, - -0.536292979f, -0.844031895f, - -0.534997620f, -0.844853565f, - -0.533701002f, -0.845673247f, - -0.532403128f, -0.846490939f, - -0.531104001f, -0.847306639f, - -0.529803625f, -0.848120345f, - -0.528502002f, -0.848932055f, - -0.527199135f, -0.849741768f, - -0.525895027f, -0.850549481f, - -0.524589683f, -0.851355193f, - -0.523283103f, -0.852158902f, - -0.521975293f, -0.852960605f, - -0.520666254f, -0.853760301f, - -0.519355990f, -0.854557988f, - -0.518044504f, -0.855353665f, - -0.516731799f, -0.856147328f, - -0.515417878f, -0.856938977f, - -0.514102744f, -0.857728610f, - -0.512786401f, -0.858516224f, - -0.511468850f, -0.859301818f, - -0.510150097f, -0.860085390f, - -0.508830143f, -0.860866939f, - -0.507508991f, -0.861646461f, - -0.506186645f, -0.862423956f, - -0.504863109f, -0.863199422f, - -0.503538384f, -0.863972856f, - -0.502212474f, -0.864744258f, - -0.500885383f, -0.865513624f, - -0.499557113f, -0.866280954f, - -0.498227667f, -0.867046246f, - -0.496897049f, -0.867809497f, - -0.495565262f, -0.868570706f, - -0.494232309f, -0.869329871f, - -0.492898192f, -0.870086991f, - -0.491562916f, -0.870842063f, - -0.490226483f, -0.871595087f, - -0.488888897f, -0.872346059f, - -0.487550160f, -0.873094978f, - -0.486210276f, -0.873841843f, - -0.484869248f, -0.874586652f, - -0.483527079f, -0.875329403f, - -0.482183772f, -0.876070094f, - -0.480839331f, -0.876808724f, - -0.479493758f, -0.877545290f, - -0.478147056f, -0.878279792f, - -0.476799230f, -0.879012226f, - -0.475450282f, -0.879742593f, - -0.474100215f, -0.880470889f, - -0.472749032f, -0.881197113f, - -0.471396737f, -0.881921264f, - -0.470043332f, -0.882643340f, - -0.468688822f, -0.883363339f, - -0.467333209f, -0.884081259f, - -0.465976496f, -0.884797098f, - -0.464618686f, -0.885510856f, - -0.463259784f, -0.886222530f, - -0.461899791f, -0.886932119f, - -0.460538711f, -0.887639620f, - -0.459176548f, -0.888345033f, - -0.457813304f, -0.889048356f, - -0.456448982f, -0.889749586f, - -0.455083587f, -0.890448723f, - -0.453717121f, -0.891145765f, - -0.452349587f, -0.891840709f, - -0.450980989f, -0.892533555f, - -0.449611330f, -0.893224301f, - -0.448240612f, -0.893912945f, - -0.446868840f, -0.894599486f, - -0.445496017f, -0.895283921f, - -0.444122145f, -0.895966250f, - -0.442747228f, -0.896646470f, - -0.441371269f, -0.897324581f, - -0.439994271f, -0.898000580f, - -0.438616239f, -0.898674466f, - -0.437237174f, -0.899346237f, - -0.435857080f, -0.900015892f, - -0.434475961f, -0.900683429f, - -0.433093819f, -0.901348847f, - -0.431710658f, -0.902012144f, - -0.430326481f, -0.902673318f, - -0.428941292f, -0.903332368f, - -0.427555093f, -0.903989293f, - -0.426167889f, -0.904644091f, - -0.424779681f, -0.905296759f, - -0.423390474f, -0.905947298f, - -0.422000271f, -0.906595705f, - -0.420609074f, -0.907241978f, - -0.419216888f, -0.907886116f, - -0.417823716f, -0.908528119f, - -0.416429560f, -0.909167983f, - -0.415034424f, -0.909805708f, - -0.413638312f, -0.910441292f, - -0.412241227f, -0.911074734f, - -0.410843171f, -0.911706032f, - -0.409444149f, -0.912335185f, - -0.408044163f, -0.912962190f, - -0.406643217f, -0.913587048f, - -0.405241314f, -0.914209756f, - -0.403838458f, -0.914830312f, - -0.402434651f, -0.915448716f, - -0.401029897f, -0.916064966f, - -0.399624200f, -0.916679060f, - -0.398217562f, -0.917290997f, - -0.396809987f, -0.917900776f, - -0.395401479f, -0.918508394f, - -0.393992040f, -0.919113852f, - -0.392581674f, -0.919717146f, - -0.391170384f, -0.920318277f, - -0.389758174f, -0.920917242f, - -0.388345047f, -0.921514039f, - -0.386931006f, -0.922108669f, - -0.385516054f, -0.922701128f, - -0.384100195f, -0.923291417f, - -0.382683432f, -0.923879533f, - -0.381265769f, -0.924465474f, - -0.379847209f, -0.925049241f, - -0.378427755f, -0.925630831f, - -0.377007410f, -0.926210242f, - -0.375586178f, -0.926787474f, - -0.374164063f, -0.927362526f, - -0.372741067f, -0.927935395f, - -0.371317194f, -0.928506080f, - -0.369892447f, -0.929074581f, - -0.368466830f, -0.929640896f, - -0.367040346f, -0.930205023f, - -0.365612998f, -0.930766961f, - -0.364184790f, -0.931326709f, - -0.362755724f, -0.931884266f, - -0.361325806f, -0.932439629f, - -0.359895037f, -0.932992799f, - -0.358463421f, -0.933543773f, - -0.357030961f, -0.934092550f, - -0.355597662f, -0.934639130f, - -0.354163525f, -0.935183510f, - -0.352728556f, -0.935725689f, - -0.351292756f, -0.936265667f, - -0.349856130f, -0.936803442f, - -0.348418680f, -0.937339012f, - -0.346980411f, -0.937872376f, - -0.345541325f, -0.938403534f, - -0.344101426f, -0.938932484f, - -0.342660717f, -0.939459224f, - -0.341219202f, -0.939983753f, - -0.339776884f, -0.940506071f, - -0.338333767f, -0.941026175f, - -0.336889853f, -0.941544065f, - -0.335445147f, -0.942059740f, - -0.333999651f, -0.942573198f, - -0.332553370f, -0.943084437f, - -0.331106306f, -0.943593458f, - -0.329658463f, -0.944100258f, - -0.328209844f, -0.944604837f, - -0.326760452f, -0.945107193f, - -0.325310292f, -0.945607325f, - -0.323859367f, -0.946105232f, - -0.322407679f, -0.946600913f, - -0.320955232f, -0.947094366f, - -0.319502031f, -0.947585591f, - -0.318048077f, -0.948074586f, - -0.316593376f, -0.948561350f, - -0.315137929f, -0.949045882f, - -0.313681740f, -0.949528181f, - -0.312224814f, -0.950008245f, - -0.310767153f, -0.950486074f, - -0.309308760f, -0.950961666f, - -0.307849640f, -0.951435021f, - -0.306389795f, -0.951906137f, - -0.304929230f, -0.952375013f, - -0.303467947f, -0.952841648f, - -0.302005949f, -0.953306040f, - -0.300543241f, -0.953768190f, - -0.299079826f, -0.954228095f, - -0.297615707f, -0.954685755f, - -0.296150888f, -0.955141168f, - -0.294685372f, -0.955594334f, - -0.293219163f, -0.956045251f, - -0.291752263f, -0.956493919f, - -0.290284677f, -0.956940336f, - -0.288816408f, -0.957384501f, - -0.287347460f, -0.957826413f, - -0.285877835f, -0.958266071f, - -0.284407537f, -0.958703475f, - -0.282936570f, -0.959138622f, - -0.281464938f, -0.959571513f, - -0.279992643f, -0.960002146f, - -0.278519689f, -0.960430519f, - -0.277046080f, -0.960856633f, - -0.275571819f, -0.961280486f, - -0.274096910f, -0.961702077f, - -0.272621355f, -0.962121404f, - -0.271145160f, -0.962538468f, - -0.269668326f, -0.962953267f, - -0.268190857f, -0.963365800f, - -0.266712757f, -0.963776066f, - -0.265234030f, -0.964184064f, - -0.263754679f, -0.964589793f, - -0.262274707f, -0.964993253f, - -0.260794118f, -0.965394442f, - -0.259312915f, -0.965793359f, - -0.257831102f, -0.966190003f, - -0.256348682f, -0.966584374f, - -0.254865660f, -0.966976471f, - -0.253382037f, -0.967366292f, - -0.251897818f, -0.967753837f, - -0.250413007f, -0.968139105f, - -0.248927606f, -0.968522094f, - -0.247441619f, -0.968902805f, - -0.245955050f, -0.969281235f, - -0.244467903f, -0.969657385f, - -0.242980180f, -0.970031253f, - -0.241491885f, -0.970402839f, - -0.240003022f, -0.970772141f, - -0.238513595f, -0.971139158f, - -0.237023606f, -0.971503891f, - -0.235533059f, -0.971866337f, - -0.234041959f, -0.972226497f, - -0.232550307f, -0.972584369f, - -0.231058108f, -0.972939952f, - -0.229565366f, -0.973293246f, - -0.228072083f, -0.973644250f, - -0.226578264f, -0.973992962f, - -0.225083911f, -0.974339383f, - -0.223589029f, -0.974683511f, - -0.222093621f, -0.975025345f, - -0.220597690f, -0.975364885f, - -0.219101240f, -0.975702130f, - -0.217604275f, -0.976037079f, - -0.216106797f, -0.976369731f, - -0.214608811f, -0.976700086f, - -0.213110320f, -0.977028143f, - -0.211611327f, -0.977353900f, - -0.210111837f, -0.977677358f, - -0.208611852f, -0.977998515f, - -0.207111376f, -0.978317371f, - -0.205610413f, -0.978633924f, - -0.204108966f, -0.978948175f, - -0.202607039f, -0.979260123f, - -0.201104635f, -0.979569766f, - -0.199601758f, -0.979877104f, - -0.198098411f, -0.980182136f, - -0.196594598f, -0.980484862f, - -0.195090322f, -0.980785280f, - -0.193585587f, -0.981083391f, - -0.192080397f, -0.981379193f, - -0.190574755f, -0.981672686f, - -0.189068664f, -0.981963869f, - -0.187562129f, -0.982252741f, - -0.186055152f, -0.982539302f, - -0.184547737f, -0.982823551f, - -0.183039888f, -0.983105487f, - -0.181531608f, -0.983385110f, - -0.180022901f, -0.983662419f, - -0.178513771f, -0.983937413f, - -0.177004220f, -0.984210092f, - -0.175494253f, -0.984480455f, - -0.173983873f, -0.984748502f, - -0.172473084f, -0.985014231f, - -0.170961889f, -0.985277642f, - -0.169450291f, -0.985538735f, - -0.167938295f, -0.985797509f, - -0.166425904f, -0.986053963f, - -0.164913120f, -0.986308097f, - -0.163399949f, -0.986559910f, - -0.161886394f, -0.986809402f, - -0.160372457f, -0.987056571f, - -0.158858143f, -0.987301418f, - -0.157343456f, -0.987543942f, - -0.155828398f, -0.987784142f, - -0.154312973f, -0.988022017f, - -0.152797185f, -0.988257568f, - -0.151281038f, -0.988490793f, - -0.149764535f, -0.988721692f, - -0.148247679f, -0.988950265f, - -0.146730474f, -0.989176510f, - -0.145212925f, -0.989400428f, - -0.143695033f, -0.989622017f, - -0.142176804f, -0.989841278f, - -0.140658239f, -0.990058210f, - -0.139139344f, -0.990272812f, - -0.137620122f, -0.990485084f, - -0.136100575f, -0.990695025f, - -0.134580709f, -0.990902635f, - -0.133060525f, -0.991107914f, - -0.131540029f, -0.991310860f, - -0.130019223f, -0.991511473f, - -0.128498111f, -0.991709754f, - -0.126976696f, -0.991905700f, - -0.125454983f, -0.992099313f, - -0.123932975f, -0.992290591f, - -0.122410675f, -0.992479535f, - -0.120888087f, -0.992666142f, - -0.119365215f, -0.992850414f, - -0.117842062f, -0.993032350f, - -0.116318631f, -0.993211949f, - -0.114794927f, -0.993389211f, - -0.113270952f, -0.993564136f, - -0.111746711f, -0.993736722f, - -0.110222207f, -0.993906970f, - -0.108697444f, -0.994074879f, - -0.107172425f, -0.994240449f, - -0.105647154f, -0.994403680f, - -0.104121634f, -0.994564571f, - -0.102595869f, -0.994723121f, - -0.101069863f, -0.994879331f, - -0.099543619f, -0.995033199f, - -0.098017140f, -0.995184727f, - -0.096490431f, -0.995333912f, - -0.094963495f, -0.995480755f, - -0.093436336f, -0.995625256f, - -0.091908956f, -0.995767414f, - -0.090381361f, -0.995907229f, - -0.088853553f, -0.996044701f, - -0.087325535f, -0.996179829f, - -0.085797312f, -0.996312612f, - -0.084268888f, -0.996443051f, - -0.082740265f, -0.996571146f, - -0.081211447f, -0.996696895f, - -0.079682438f, -0.996820299f, - -0.078153242f, -0.996941358f, - -0.076623861f, -0.997060070f, - -0.075094301f, -0.997176437f, - -0.073564564f, -0.997290457f, - -0.072034653f, -0.997402130f, - -0.070504573f, -0.997511456f, - -0.068974328f, -0.997618435f, - -0.067443920f, -0.997723067f, - -0.065913353f, -0.997825350f, - -0.064382631f, -0.997925286f, - -0.062851758f, -0.998022874f, - -0.061320736f, -0.998118113f, - -0.059789571f, -0.998211003f, - -0.058258265f, -0.998301545f, - -0.056726821f, -0.998389737f, - -0.055195244f, -0.998475581f, - -0.053663538f, -0.998559074f, - -0.052131705f, -0.998640218f, - -0.050599749f, -0.998719012f, - -0.049067674f, -0.998795456f, - -0.047535484f, -0.998869550f, - -0.046003182f, -0.998941293f, - -0.044470772f, -0.999010686f, - -0.042938257f, -0.999077728f, - -0.041405641f, -0.999142419f, - -0.039872928f, -0.999204759f, - -0.038340120f, -0.999264747f, - -0.036807223f, -0.999322385f, - -0.035274239f, -0.999377670f, - -0.033741172f, -0.999430605f, - -0.032208025f, -0.999481187f, - -0.030674803f, -0.999529418f, - -0.029141509f, -0.999575296f, - -0.027608146f, -0.999618822f, - -0.026074718f, -0.999659997f, - -0.024541229f, -0.999698819f, - -0.023007681f, -0.999735288f, - -0.021474080f, -0.999769405f, - -0.019940429f, -0.999801170f, - -0.018406730f, -0.999830582f, - -0.016872988f, -0.999857641f, - -0.015339206f, -0.999882347f, - -0.013805389f, -0.999904701f, - -0.012271538f, -0.999924702f, - -0.010737659f, -0.999942350f, - -0.009203755f, -0.999957645f, - -0.007669829f, -0.999970586f, - -0.006135885f, -0.999981175f, - -0.004601926f, -0.999989411f, - -0.003067957f, -0.999995294f, - -0.001533980f, -0.999998823f, - -0.000000000f, -1.000000000f, - 0.001533980f, -0.999998823f, - 0.003067957f, -0.999995294f, - 0.004601926f, -0.999989411f, - 0.006135885f, -0.999981175f, - 0.007669829f, -0.999970586f, - 0.009203755f, -0.999957645f, - 0.010737659f, -0.999942350f, - 0.012271538f, -0.999924702f, - 0.013805389f, -0.999904701f, - 0.015339206f, -0.999882347f, - 0.016872988f, -0.999857641f, - 0.018406730f, -0.999830582f, - 0.019940429f, -0.999801170f, - 0.021474080f, -0.999769405f, - 0.023007681f, -0.999735288f, - 0.024541229f, -0.999698819f, - 0.026074718f, -0.999659997f, - 0.027608146f, -0.999618822f, - 0.029141509f, -0.999575296f, - 0.030674803f, -0.999529418f, - 0.032208025f, -0.999481187f, - 0.033741172f, -0.999430605f, - 0.035274239f, -0.999377670f, - 0.036807223f, -0.999322385f, - 0.038340120f, -0.999264747f, - 0.039872928f, -0.999204759f, - 0.041405641f, -0.999142419f, - 0.042938257f, -0.999077728f, - 0.044470772f, -0.999010686f, - 0.046003182f, -0.998941293f, - 0.047535484f, -0.998869550f, - 0.049067674f, -0.998795456f, - 0.050599749f, -0.998719012f, - 0.052131705f, -0.998640218f, - 0.053663538f, -0.998559074f, - 0.055195244f, -0.998475581f, - 0.056726821f, -0.998389737f, - 0.058258265f, -0.998301545f, - 0.059789571f, -0.998211003f, - 0.061320736f, -0.998118113f, - 0.062851758f, -0.998022874f, - 0.064382631f, -0.997925286f, - 0.065913353f, -0.997825350f, - 0.067443920f, -0.997723067f, - 0.068974328f, -0.997618435f, - 0.070504573f, -0.997511456f, - 0.072034653f, -0.997402130f, - 0.073564564f, -0.997290457f, - 0.075094301f, -0.997176437f, - 0.076623861f, -0.997060070f, - 0.078153242f, -0.996941358f, - 0.079682438f, -0.996820299f, - 0.081211447f, -0.996696895f, - 0.082740265f, -0.996571146f, - 0.084268888f, -0.996443051f, - 0.085797312f, -0.996312612f, - 0.087325535f, -0.996179829f, - 0.088853553f, -0.996044701f, - 0.090381361f, -0.995907229f, - 0.091908956f, -0.995767414f, - 0.093436336f, -0.995625256f, - 0.094963495f, -0.995480755f, - 0.096490431f, -0.995333912f, - 0.098017140f, -0.995184727f, - 0.099543619f, -0.995033199f, - 0.101069863f, -0.994879331f, - 0.102595869f, -0.994723121f, - 0.104121634f, -0.994564571f, - 0.105647154f, -0.994403680f, - 0.107172425f, -0.994240449f, - 0.108697444f, -0.994074879f, - 0.110222207f, -0.993906970f, - 0.111746711f, -0.993736722f, - 0.113270952f, -0.993564136f, - 0.114794927f, -0.993389211f, - 0.116318631f, -0.993211949f, - 0.117842062f, -0.993032350f, - 0.119365215f, -0.992850414f, - 0.120888087f, -0.992666142f, - 0.122410675f, -0.992479535f, - 0.123932975f, -0.992290591f, - 0.125454983f, -0.992099313f, - 0.126976696f, -0.991905700f, - 0.128498111f, -0.991709754f, - 0.130019223f, -0.991511473f, - 0.131540029f, -0.991310860f, - 0.133060525f, -0.991107914f, - 0.134580709f, -0.990902635f, - 0.136100575f, -0.990695025f, - 0.137620122f, -0.990485084f, - 0.139139344f, -0.990272812f, - 0.140658239f, -0.990058210f, - 0.142176804f, -0.989841278f, - 0.143695033f, -0.989622017f, - 0.145212925f, -0.989400428f, - 0.146730474f, -0.989176510f, - 0.148247679f, -0.988950265f, - 0.149764535f, -0.988721692f, - 0.151281038f, -0.988490793f, - 0.152797185f, -0.988257568f, - 0.154312973f, -0.988022017f, - 0.155828398f, -0.987784142f, - 0.157343456f, -0.987543942f, - 0.158858143f, -0.987301418f, - 0.160372457f, -0.987056571f, - 0.161886394f, -0.986809402f, - 0.163399949f, -0.986559910f, - 0.164913120f, -0.986308097f, - 0.166425904f, -0.986053963f, - 0.167938295f, -0.985797509f, - 0.169450291f, -0.985538735f, - 0.170961889f, -0.985277642f, - 0.172473084f, -0.985014231f, - 0.173983873f, -0.984748502f, - 0.175494253f, -0.984480455f, - 0.177004220f, -0.984210092f, - 0.178513771f, -0.983937413f, - 0.180022901f, -0.983662419f, - 0.181531608f, -0.983385110f, - 0.183039888f, -0.983105487f, - 0.184547737f, -0.982823551f, - 0.186055152f, -0.982539302f, - 0.187562129f, -0.982252741f, - 0.189068664f, -0.981963869f, - 0.190574755f, -0.981672686f, - 0.192080397f, -0.981379193f, - 0.193585587f, -0.981083391f, - 0.195090322f, -0.980785280f, - 0.196594598f, -0.980484862f, - 0.198098411f, -0.980182136f, - 0.199601758f, -0.979877104f, - 0.201104635f, -0.979569766f, - 0.202607039f, -0.979260123f, - 0.204108966f, -0.978948175f, - 0.205610413f, -0.978633924f, - 0.207111376f, -0.978317371f, - 0.208611852f, -0.977998515f, - 0.210111837f, -0.977677358f, - 0.211611327f, -0.977353900f, - 0.213110320f, -0.977028143f, - 0.214608811f, -0.976700086f, - 0.216106797f, -0.976369731f, - 0.217604275f, -0.976037079f, - 0.219101240f, -0.975702130f, - 0.220597690f, -0.975364885f, - 0.222093621f, -0.975025345f, - 0.223589029f, -0.974683511f, - 0.225083911f, -0.974339383f, - 0.226578264f, -0.973992962f, - 0.228072083f, -0.973644250f, - 0.229565366f, -0.973293246f, - 0.231058108f, -0.972939952f, - 0.232550307f, -0.972584369f, - 0.234041959f, -0.972226497f, - 0.235533059f, -0.971866337f, - 0.237023606f, -0.971503891f, - 0.238513595f, -0.971139158f, - 0.240003022f, -0.970772141f, - 0.241491885f, -0.970402839f, - 0.242980180f, -0.970031253f, - 0.244467903f, -0.969657385f, - 0.245955050f, -0.969281235f, - 0.247441619f, -0.968902805f, - 0.248927606f, -0.968522094f, - 0.250413007f, -0.968139105f, - 0.251897818f, -0.967753837f, - 0.253382037f, -0.967366292f, - 0.254865660f, -0.966976471f, - 0.256348682f, -0.966584374f, - 0.257831102f, -0.966190003f, - 0.259312915f, -0.965793359f, - 0.260794118f, -0.965394442f, - 0.262274707f, -0.964993253f, - 0.263754679f, -0.964589793f, - 0.265234030f, -0.964184064f, - 0.266712757f, -0.963776066f, - 0.268190857f, -0.963365800f, - 0.269668326f, -0.962953267f, - 0.271145160f, -0.962538468f, - 0.272621355f, -0.962121404f, - 0.274096910f, -0.961702077f, - 0.275571819f, -0.961280486f, - 0.277046080f, -0.960856633f, - 0.278519689f, -0.960430519f, - 0.279992643f, -0.960002146f, - 0.281464938f, -0.959571513f, - 0.282936570f, -0.959138622f, - 0.284407537f, -0.958703475f, - 0.285877835f, -0.958266071f, - 0.287347460f, -0.957826413f, - 0.288816408f, -0.957384501f, - 0.290284677f, -0.956940336f, - 0.291752263f, -0.956493919f, - 0.293219163f, -0.956045251f, - 0.294685372f, -0.955594334f, - 0.296150888f, -0.955141168f, - 0.297615707f, -0.954685755f, - 0.299079826f, -0.954228095f, - 0.300543241f, -0.953768190f, - 0.302005949f, -0.953306040f, - 0.303467947f, -0.952841648f, - 0.304929230f, -0.952375013f, - 0.306389795f, -0.951906137f, - 0.307849640f, -0.951435021f, - 0.309308760f, -0.950961666f, - 0.310767153f, -0.950486074f, - 0.312224814f, -0.950008245f, - 0.313681740f, -0.949528181f, - 0.315137929f, -0.949045882f, - 0.316593376f, -0.948561350f, - 0.318048077f, -0.948074586f, - 0.319502031f, -0.947585591f, - 0.320955232f, -0.947094366f, - 0.322407679f, -0.946600913f, - 0.323859367f, -0.946105232f, - 0.325310292f, -0.945607325f, - 0.326760452f, -0.945107193f, - 0.328209844f, -0.944604837f, - 0.329658463f, -0.944100258f, - 0.331106306f, -0.943593458f, - 0.332553370f, -0.943084437f, - 0.333999651f, -0.942573198f, - 0.335445147f, -0.942059740f, - 0.336889853f, -0.941544065f, - 0.338333767f, -0.941026175f, - 0.339776884f, -0.940506071f, - 0.341219202f, -0.939983753f, - 0.342660717f, -0.939459224f, - 0.344101426f, -0.938932484f, - 0.345541325f, -0.938403534f, - 0.346980411f, -0.937872376f, - 0.348418680f, -0.937339012f, - 0.349856130f, -0.936803442f, - 0.351292756f, -0.936265667f, - 0.352728556f, -0.935725689f, - 0.354163525f, -0.935183510f, - 0.355597662f, -0.934639130f, - 0.357030961f, -0.934092550f, - 0.358463421f, -0.933543773f, - 0.359895037f, -0.932992799f, - 0.361325806f, -0.932439629f, - 0.362755724f, -0.931884266f, - 0.364184790f, -0.931326709f, - 0.365612998f, -0.930766961f, - 0.367040346f, -0.930205023f, - 0.368466830f, -0.929640896f, - 0.369892447f, -0.929074581f, - 0.371317194f, -0.928506080f, - 0.372741067f, -0.927935395f, - 0.374164063f, -0.927362526f, - 0.375586178f, -0.926787474f, - 0.377007410f, -0.926210242f, - 0.378427755f, -0.925630831f, - 0.379847209f, -0.925049241f, - 0.381265769f, -0.924465474f, - 0.382683432f, -0.923879533f, - 0.384100195f, -0.923291417f, - 0.385516054f, -0.922701128f, - 0.386931006f, -0.922108669f, - 0.388345047f, -0.921514039f, - 0.389758174f, -0.920917242f, - 0.391170384f, -0.920318277f, - 0.392581674f, -0.919717146f, - 0.393992040f, -0.919113852f, - 0.395401479f, -0.918508394f, - 0.396809987f, -0.917900776f, - 0.398217562f, -0.917290997f, - 0.399624200f, -0.916679060f, - 0.401029897f, -0.916064966f, - 0.402434651f, -0.915448716f, - 0.403838458f, -0.914830312f, - 0.405241314f, -0.914209756f, - 0.406643217f, -0.913587048f, - 0.408044163f, -0.912962190f, - 0.409444149f, -0.912335185f, - 0.410843171f, -0.911706032f, - 0.412241227f, -0.911074734f, - 0.413638312f, -0.910441292f, - 0.415034424f, -0.909805708f, - 0.416429560f, -0.909167983f, - 0.417823716f, -0.908528119f, - 0.419216888f, -0.907886116f, - 0.420609074f, -0.907241978f, - 0.422000271f, -0.906595705f, - 0.423390474f, -0.905947298f, - 0.424779681f, -0.905296759f, - 0.426167889f, -0.904644091f, - 0.427555093f, -0.903989293f, - 0.428941292f, -0.903332368f, - 0.430326481f, -0.902673318f, - 0.431710658f, -0.902012144f, - 0.433093819f, -0.901348847f, - 0.434475961f, -0.900683429f, - 0.435857080f, -0.900015892f, - 0.437237174f, -0.899346237f, - 0.438616239f, -0.898674466f, - 0.439994271f, -0.898000580f, - 0.441371269f, -0.897324581f, - 0.442747228f, -0.896646470f, - 0.444122145f, -0.895966250f, - 0.445496017f, -0.895283921f, - 0.446868840f, -0.894599486f, - 0.448240612f, -0.893912945f, - 0.449611330f, -0.893224301f, - 0.450980989f, -0.892533555f, - 0.452349587f, -0.891840709f, - 0.453717121f, -0.891145765f, - 0.455083587f, -0.890448723f, - 0.456448982f, -0.889749586f, - 0.457813304f, -0.889048356f, - 0.459176548f, -0.888345033f, - 0.460538711f, -0.887639620f, - 0.461899791f, -0.886932119f, - 0.463259784f, -0.886222530f, - 0.464618686f, -0.885510856f, - 0.465976496f, -0.884797098f, - 0.467333209f, -0.884081259f, - 0.468688822f, -0.883363339f, - 0.470043332f, -0.882643340f, - 0.471396737f, -0.881921264f, - 0.472749032f, -0.881197113f, - 0.474100215f, -0.880470889f, - 0.475450282f, -0.879742593f, - 0.476799230f, -0.879012226f, - 0.478147056f, -0.878279792f, - 0.479493758f, -0.877545290f, - 0.480839331f, -0.876808724f, - 0.482183772f, -0.876070094f, - 0.483527079f, -0.875329403f, - 0.484869248f, -0.874586652f, - 0.486210276f, -0.873841843f, - 0.487550160f, -0.873094978f, - 0.488888897f, -0.872346059f, - 0.490226483f, -0.871595087f, - 0.491562916f, -0.870842063f, - 0.492898192f, -0.870086991f, - 0.494232309f, -0.869329871f, - 0.495565262f, -0.868570706f, - 0.496897049f, -0.867809497f, - 0.498227667f, -0.867046246f, - 0.499557113f, -0.866280954f, - 0.500885383f, -0.865513624f, - 0.502212474f, -0.864744258f, - 0.503538384f, -0.863972856f, - 0.504863109f, -0.863199422f, - 0.506186645f, -0.862423956f, - 0.507508991f, -0.861646461f, - 0.508830143f, -0.860866939f, - 0.510150097f, -0.860085390f, - 0.511468850f, -0.859301818f, - 0.512786401f, -0.858516224f, - 0.514102744f, -0.857728610f, - 0.515417878f, -0.856938977f, - 0.516731799f, -0.856147328f, - 0.518044504f, -0.855353665f, - 0.519355990f, -0.854557988f, - 0.520666254f, -0.853760301f, - 0.521975293f, -0.852960605f, - 0.523283103f, -0.852158902f, - 0.524589683f, -0.851355193f, - 0.525895027f, -0.850549481f, - 0.527199135f, -0.849741768f, - 0.528502002f, -0.848932055f, - 0.529803625f, -0.848120345f, - 0.531104001f, -0.847306639f, - 0.532403128f, -0.846490939f, - 0.533701002f, -0.845673247f, - 0.534997620f, -0.844853565f, - 0.536292979f, -0.844031895f, - 0.537587076f, -0.843208240f, - 0.538879909f, -0.842382600f, - 0.540171473f, -0.841554977f, - 0.541461766f, -0.840725375f, - 0.542750785f, -0.839893794f, - 0.544038527f, -0.839060237f, - 0.545324988f, -0.838224706f, - 0.546610167f, -0.837387202f, - 0.547894059f, -0.836547727f, - 0.549176662f, -0.835706284f, - 0.550457973f, -0.834862875f, - 0.551737988f, -0.834017501f, - 0.553016706f, -0.833170165f, - 0.554294121f, -0.832320868f, - 0.555570233f, -0.831469612f, - 0.556845037f, -0.830616400f, - 0.558118531f, -0.829761234f, - 0.559390712f, -0.828904115f, - 0.560661576f, -0.828045045f, - 0.561931121f, -0.827184027f, - 0.563199344f, -0.826321063f, - 0.564466242f, -0.825456154f, - 0.565731811f, -0.824589303f, - 0.566996049f, -0.823720511f, - 0.568258953f, -0.822849781f, - 0.569520519f, -0.821977115f, - 0.570780746f, -0.821102515f, - 0.572039629f, -0.820225983f, - 0.573297167f, -0.819347520f, - 0.574553355f, -0.818467130f, - 0.575808191f, -0.817584813f, - 0.577061673f, -0.816700573f, - 0.578313796f, -0.815814411f, - 0.579564559f, -0.814926329f, - 0.580813958f, -0.814036330f, - 0.582061990f, -0.813144415f, - 0.583308653f, -0.812250587f, - 0.584553943f, -0.811354847f, - 0.585797857f, -0.810457198f, - 0.587040394f, -0.809557642f, - 0.588281548f, -0.808656182f, - 0.589521319f, -0.807752818f, - 0.590759702f, -0.806847554f, - 0.591996695f, -0.805940391f, - 0.593232295f, -0.805031331f, - 0.594466499f, -0.804120377f, - 0.595699304f, -0.803207531f, - 0.596930708f, -0.802292796f, - 0.598160707f, -0.801376172f, - 0.599389298f, -0.800457662f, - 0.600616479f, -0.799537269f, - 0.601842247f, -0.798614995f, - 0.603066599f, -0.797690841f, - 0.604289531f, -0.796764810f, - 0.605511041f, -0.795836905f, - 0.606731127f, -0.794907126f, - 0.607949785f, -0.793975478f, - 0.609167012f, -0.793041960f, - 0.610382806f, -0.792106577f, - 0.611597164f, -0.791169330f, - 0.612810082f, -0.790230221f, - 0.614021559f, -0.789289253f, - 0.615231591f, -0.788346428f, - 0.616440175f, -0.787401747f, - 0.617647308f, -0.786455214f, - 0.618852988f, -0.785506830f, - 0.620057212f, -0.784556597f, - 0.621259977f, -0.783604519f, - 0.622461279f, -0.782650596f, - 0.623661118f, -0.781694832f, - 0.624859488f, -0.780737229f, - 0.626056388f, -0.779777788f, - 0.627251815f, -0.778816512f, - 0.628445767f, -0.777853404f, - 0.629638239f, -0.776888466f, - 0.630829230f, -0.775921699f, - 0.632018736f, -0.774953107f, - 0.633206755f, -0.773982691f, - 0.634393284f, -0.773010453f, - 0.635578320f, -0.772036397f, - 0.636761861f, -0.771060524f, - 0.637943904f, -0.770082837f, - 0.639124445f, -0.769103338f, - 0.640303482f, -0.768122029f, - 0.641481013f, -0.767138912f, - 0.642657034f, -0.766153990f, - 0.643831543f, -0.765167266f, - 0.645004537f, -0.764178741f, - 0.646176013f, -0.763188417f, - 0.647345969f, -0.762196298f, - 0.648514401f, -0.761202385f, - 0.649681307f, -0.760206682f, - 0.650846685f, -0.759209189f, - 0.652010531f, -0.758209910f, - 0.653172843f, -0.757208847f, - 0.654333618f, -0.756206001f, - 0.655492853f, -0.755201377f, - 0.656650546f, -0.754194975f, - 0.657806693f, -0.753186799f, - 0.658961293f, -0.752176850f, - 0.660114342f, -0.751165132f, - 0.661265838f, -0.750151646f, - 0.662415778f, -0.749136395f, - 0.663564159f, -0.748119380f, - 0.664710978f, -0.747100606f, - 0.665856234f, -0.746080074f, - 0.666999922f, -0.745057785f, - 0.668142041f, -0.744033744f, - 0.669282588f, -0.743007952f, - 0.670421560f, -0.741980412f, - 0.671558955f, -0.740951125f, - 0.672694769f, -0.739920095f, - 0.673829000f, -0.738887324f, - 0.674961646f, -0.737852815f, - 0.676092704f, -0.736816569f, - 0.677222170f, -0.735778589f, - 0.678350043f, -0.734738878f, - 0.679476320f, -0.733697438f, - 0.680600998f, -0.732654272f, - 0.681724074f, -0.731609381f, - 0.682845546f, -0.730562769f, - 0.683965412f, -0.729514438f, - 0.685083668f, -0.728464390f, - 0.686200312f, -0.727412629f, - 0.687315341f, -0.726359155f, - 0.688428753f, -0.725303972f, - 0.689540545f, -0.724247083f, - 0.690650714f, -0.723188489f, - 0.691759258f, -0.722128194f, - 0.692866175f, -0.721066199f, - 0.693971461f, -0.720002508f, - 0.695075114f, -0.718937122f, - 0.696177131f, -0.717870045f, - 0.697277511f, -0.716801279f, - 0.698376249f, -0.715730825f, - 0.699473345f, -0.714658688f, - 0.700568794f, -0.713584869f, - 0.701662595f, -0.712509371f, - 0.702754744f, -0.711432196f, - 0.703845241f, -0.710353347f, - 0.704934080f, -0.709272826f, - 0.706021261f, -0.708190637f, - 0.707106781f, -0.707106781f, - 0.708190637f, -0.706021261f, - 0.709272826f, -0.704934080f, - 0.710353347f, -0.703845241f, - 0.711432196f, -0.702754744f, - 0.712509371f, -0.701662595f, - 0.713584869f, -0.700568794f, - 0.714658688f, -0.699473345f, - 0.715730825f, -0.698376249f, - 0.716801279f, -0.697277511f, - 0.717870045f, -0.696177131f, - 0.718937122f, -0.695075114f, - 0.720002508f, -0.693971461f, - 0.721066199f, -0.692866175f, - 0.722128194f, -0.691759258f, - 0.723188489f, -0.690650714f, - 0.724247083f, -0.689540545f, - 0.725303972f, -0.688428753f, - 0.726359155f, -0.687315341f, - 0.727412629f, -0.686200312f, - 0.728464390f, -0.685083668f, - 0.729514438f, -0.683965412f, - 0.730562769f, -0.682845546f, - 0.731609381f, -0.681724074f, - 0.732654272f, -0.680600998f, - 0.733697438f, -0.679476320f, - 0.734738878f, -0.678350043f, - 0.735778589f, -0.677222170f, - 0.736816569f, -0.676092704f, - 0.737852815f, -0.674961646f, - 0.738887324f, -0.673829000f, - 0.739920095f, -0.672694769f, - 0.740951125f, -0.671558955f, - 0.741980412f, -0.670421560f, - 0.743007952f, -0.669282588f, - 0.744033744f, -0.668142041f, - 0.745057785f, -0.666999922f, - 0.746080074f, -0.665856234f, - 0.747100606f, -0.664710978f, - 0.748119380f, -0.663564159f, - 0.749136395f, -0.662415778f, - 0.750151646f, -0.661265838f, - 0.751165132f, -0.660114342f, - 0.752176850f, -0.658961293f, - 0.753186799f, -0.657806693f, - 0.754194975f, -0.656650546f, - 0.755201377f, -0.655492853f, - 0.756206001f, -0.654333618f, - 0.757208847f, -0.653172843f, - 0.758209910f, -0.652010531f, - 0.759209189f, -0.650846685f, - 0.760206682f, -0.649681307f, - 0.761202385f, -0.648514401f, - 0.762196298f, -0.647345969f, - 0.763188417f, -0.646176013f, - 0.764178741f, -0.645004537f, - 0.765167266f, -0.643831543f, - 0.766153990f, -0.642657034f, - 0.767138912f, -0.641481013f, - 0.768122029f, -0.640303482f, - 0.769103338f, -0.639124445f, - 0.770082837f, -0.637943904f, - 0.771060524f, -0.636761861f, - 0.772036397f, -0.635578320f, - 0.773010453f, -0.634393284f, - 0.773982691f, -0.633206755f, - 0.774953107f, -0.632018736f, - 0.775921699f, -0.630829230f, - 0.776888466f, -0.629638239f, - 0.777853404f, -0.628445767f, - 0.778816512f, -0.627251815f, - 0.779777788f, -0.626056388f, - 0.780737229f, -0.624859488f, - 0.781694832f, -0.623661118f, - 0.782650596f, -0.622461279f, - 0.783604519f, -0.621259977f, - 0.784556597f, -0.620057212f, - 0.785506830f, -0.618852988f, - 0.786455214f, -0.617647308f, - 0.787401747f, -0.616440175f, - 0.788346428f, -0.615231591f, - 0.789289253f, -0.614021559f, - 0.790230221f, -0.612810082f, - 0.791169330f, -0.611597164f, - 0.792106577f, -0.610382806f, - 0.793041960f, -0.609167012f, - 0.793975478f, -0.607949785f, - 0.794907126f, -0.606731127f, - 0.795836905f, -0.605511041f, - 0.796764810f, -0.604289531f, - 0.797690841f, -0.603066599f, - 0.798614995f, -0.601842247f, - 0.799537269f, -0.600616479f, - 0.800457662f, -0.599389298f, - 0.801376172f, -0.598160707f, - 0.802292796f, -0.596930708f, - 0.803207531f, -0.595699304f, - 0.804120377f, -0.594466499f, - 0.805031331f, -0.593232295f, - 0.805940391f, -0.591996695f, - 0.806847554f, -0.590759702f, - 0.807752818f, -0.589521319f, - 0.808656182f, -0.588281548f, - 0.809557642f, -0.587040394f, - 0.810457198f, -0.585797857f, - 0.811354847f, -0.584553943f, - 0.812250587f, -0.583308653f, - 0.813144415f, -0.582061990f, - 0.814036330f, -0.580813958f, - 0.814926329f, -0.579564559f, - 0.815814411f, -0.578313796f, - 0.816700573f, -0.577061673f, - 0.817584813f, -0.575808191f, - 0.818467130f, -0.574553355f, - 0.819347520f, -0.573297167f, - 0.820225983f, -0.572039629f, - 0.821102515f, -0.570780746f, - 0.821977115f, -0.569520519f, - 0.822849781f, -0.568258953f, - 0.823720511f, -0.566996049f, - 0.824589303f, -0.565731811f, - 0.825456154f, -0.564466242f, - 0.826321063f, -0.563199344f, - 0.827184027f, -0.561931121f, - 0.828045045f, -0.560661576f, - 0.828904115f, -0.559390712f, - 0.829761234f, -0.558118531f, - 0.830616400f, -0.556845037f, - 0.831469612f, -0.555570233f, - 0.832320868f, -0.554294121f, - 0.833170165f, -0.553016706f, - 0.834017501f, -0.551737988f, - 0.834862875f, -0.550457973f, - 0.835706284f, -0.549176662f, - 0.836547727f, -0.547894059f, - 0.837387202f, -0.546610167f, - 0.838224706f, -0.545324988f, - 0.839060237f, -0.544038527f, - 0.839893794f, -0.542750785f, - 0.840725375f, -0.541461766f, - 0.841554977f, -0.540171473f, - 0.842382600f, -0.538879909f, - 0.843208240f, -0.537587076f, - 0.844031895f, -0.536292979f, - 0.844853565f, -0.534997620f, - 0.845673247f, -0.533701002f, - 0.846490939f, -0.532403128f, - 0.847306639f, -0.531104001f, - 0.848120345f, -0.529803625f, - 0.848932055f, -0.528502002f, - 0.849741768f, -0.527199135f, - 0.850549481f, -0.525895027f, - 0.851355193f, -0.524589683f, - 0.852158902f, -0.523283103f, - 0.852960605f, -0.521975293f, - 0.853760301f, -0.520666254f, - 0.854557988f, -0.519355990f, - 0.855353665f, -0.518044504f, - 0.856147328f, -0.516731799f, - 0.856938977f, -0.515417878f, - 0.857728610f, -0.514102744f, - 0.858516224f, -0.512786401f, - 0.859301818f, -0.511468850f, - 0.860085390f, -0.510150097f, - 0.860866939f, -0.508830143f, - 0.861646461f, -0.507508991f, - 0.862423956f, -0.506186645f, - 0.863199422f, -0.504863109f, - 0.863972856f, -0.503538384f, - 0.864744258f, -0.502212474f, - 0.865513624f, -0.500885383f, - 0.866280954f, -0.499557113f, - 0.867046246f, -0.498227667f, - 0.867809497f, -0.496897049f, - 0.868570706f, -0.495565262f, - 0.869329871f, -0.494232309f, - 0.870086991f, -0.492898192f, - 0.870842063f, -0.491562916f, - 0.871595087f, -0.490226483f, - 0.872346059f, -0.488888897f, - 0.873094978f, -0.487550160f, - 0.873841843f, -0.486210276f, - 0.874586652f, -0.484869248f, - 0.875329403f, -0.483527079f, - 0.876070094f, -0.482183772f, - 0.876808724f, -0.480839331f, - 0.877545290f, -0.479493758f, - 0.878279792f, -0.478147056f, - 0.879012226f, -0.476799230f, - 0.879742593f, -0.475450282f, - 0.880470889f, -0.474100215f, - 0.881197113f, -0.472749032f, - 0.881921264f, -0.471396737f, - 0.882643340f, -0.470043332f, - 0.883363339f, -0.468688822f, - 0.884081259f, -0.467333209f, - 0.884797098f, -0.465976496f, - 0.885510856f, -0.464618686f, - 0.886222530f, -0.463259784f, - 0.886932119f, -0.461899791f, - 0.887639620f, -0.460538711f, - 0.888345033f, -0.459176548f, - 0.889048356f, -0.457813304f, - 0.889749586f, -0.456448982f, - 0.890448723f, -0.455083587f, - 0.891145765f, -0.453717121f, - 0.891840709f, -0.452349587f, - 0.892533555f, -0.450980989f, - 0.893224301f, -0.449611330f, - 0.893912945f, -0.448240612f, - 0.894599486f, -0.446868840f, - 0.895283921f, -0.445496017f, - 0.895966250f, -0.444122145f, - 0.896646470f, -0.442747228f, - 0.897324581f, -0.441371269f, - 0.898000580f, -0.439994271f, - 0.898674466f, -0.438616239f, - 0.899346237f, -0.437237174f, - 0.900015892f, -0.435857080f, - 0.900683429f, -0.434475961f, - 0.901348847f, -0.433093819f, - 0.902012144f, -0.431710658f, - 0.902673318f, -0.430326481f, - 0.903332368f, -0.428941292f, - 0.903989293f, -0.427555093f, - 0.904644091f, -0.426167889f, - 0.905296759f, -0.424779681f, - 0.905947298f, -0.423390474f, - 0.906595705f, -0.422000271f, - 0.907241978f, -0.420609074f, - 0.907886116f, -0.419216888f, - 0.908528119f, -0.417823716f, - 0.909167983f, -0.416429560f, - 0.909805708f, -0.415034424f, - 0.910441292f, -0.413638312f, - 0.911074734f, -0.412241227f, - 0.911706032f, -0.410843171f, - 0.912335185f, -0.409444149f, - 0.912962190f, -0.408044163f, - 0.913587048f, -0.406643217f, - 0.914209756f, -0.405241314f, - 0.914830312f, -0.403838458f, - 0.915448716f, -0.402434651f, - 0.916064966f, -0.401029897f, - 0.916679060f, -0.399624200f, - 0.917290997f, -0.398217562f, - 0.917900776f, -0.396809987f, - 0.918508394f, -0.395401479f, - 0.919113852f, -0.393992040f, - 0.919717146f, -0.392581674f, - 0.920318277f, -0.391170384f, - 0.920917242f, -0.389758174f, - 0.921514039f, -0.388345047f, - 0.922108669f, -0.386931006f, - 0.922701128f, -0.385516054f, - 0.923291417f, -0.384100195f, - 0.923879533f, -0.382683432f, - 0.924465474f, -0.381265769f, - 0.925049241f, -0.379847209f, - 0.925630831f, -0.378427755f, - 0.926210242f, -0.377007410f, - 0.926787474f, -0.375586178f, - 0.927362526f, -0.374164063f, - 0.927935395f, -0.372741067f, - 0.928506080f, -0.371317194f, - 0.929074581f, -0.369892447f, - 0.929640896f, -0.368466830f, - 0.930205023f, -0.367040346f, - 0.930766961f, -0.365612998f, - 0.931326709f, -0.364184790f, - 0.931884266f, -0.362755724f, - 0.932439629f, -0.361325806f, - 0.932992799f, -0.359895037f, - 0.933543773f, -0.358463421f, - 0.934092550f, -0.357030961f, - 0.934639130f, -0.355597662f, - 0.935183510f, -0.354163525f, - 0.935725689f, -0.352728556f, - 0.936265667f, -0.351292756f, - 0.936803442f, -0.349856130f, - 0.937339012f, -0.348418680f, - 0.937872376f, -0.346980411f, - 0.938403534f, -0.345541325f, - 0.938932484f, -0.344101426f, - 0.939459224f, -0.342660717f, - 0.939983753f, -0.341219202f, - 0.940506071f, -0.339776884f, - 0.941026175f, -0.338333767f, - 0.941544065f, -0.336889853f, - 0.942059740f, -0.335445147f, - 0.942573198f, -0.333999651f, - 0.943084437f, -0.332553370f, - 0.943593458f, -0.331106306f, - 0.944100258f, -0.329658463f, - 0.944604837f, -0.328209844f, - 0.945107193f, -0.326760452f, - 0.945607325f, -0.325310292f, - 0.946105232f, -0.323859367f, - 0.946600913f, -0.322407679f, - 0.947094366f, -0.320955232f, - 0.947585591f, -0.319502031f, - 0.948074586f, -0.318048077f, - 0.948561350f, -0.316593376f, - 0.949045882f, -0.315137929f, - 0.949528181f, -0.313681740f, - 0.950008245f, -0.312224814f, - 0.950486074f, -0.310767153f, - 0.950961666f, -0.309308760f, - 0.951435021f, -0.307849640f, - 0.951906137f, -0.306389795f, - 0.952375013f, -0.304929230f, - 0.952841648f, -0.303467947f, - 0.953306040f, -0.302005949f, - 0.953768190f, -0.300543241f, - 0.954228095f, -0.299079826f, - 0.954685755f, -0.297615707f, - 0.955141168f, -0.296150888f, - 0.955594334f, -0.294685372f, - 0.956045251f, -0.293219163f, - 0.956493919f, -0.291752263f, - 0.956940336f, -0.290284677f, - 0.957384501f, -0.288816408f, - 0.957826413f, -0.287347460f, - 0.958266071f, -0.285877835f, - 0.958703475f, -0.284407537f, - 0.959138622f, -0.282936570f, - 0.959571513f, -0.281464938f, - 0.960002146f, -0.279992643f, - 0.960430519f, -0.278519689f, - 0.960856633f, -0.277046080f, - 0.961280486f, -0.275571819f, - 0.961702077f, -0.274096910f, - 0.962121404f, -0.272621355f, - 0.962538468f, -0.271145160f, - 0.962953267f, -0.269668326f, - 0.963365800f, -0.268190857f, - 0.963776066f, -0.266712757f, - 0.964184064f, -0.265234030f, - 0.964589793f, -0.263754679f, - 0.964993253f, -0.262274707f, - 0.965394442f, -0.260794118f, - 0.965793359f, -0.259312915f, - 0.966190003f, -0.257831102f, - 0.966584374f, -0.256348682f, - 0.966976471f, -0.254865660f, - 0.967366292f, -0.253382037f, - 0.967753837f, -0.251897818f, - 0.968139105f, -0.250413007f, - 0.968522094f, -0.248927606f, - 0.968902805f, -0.247441619f, - 0.969281235f, -0.245955050f, - 0.969657385f, -0.244467903f, - 0.970031253f, -0.242980180f, - 0.970402839f, -0.241491885f, - 0.970772141f, -0.240003022f, - 0.971139158f, -0.238513595f, - 0.971503891f, -0.237023606f, - 0.971866337f, -0.235533059f, - 0.972226497f, -0.234041959f, - 0.972584369f, -0.232550307f, - 0.972939952f, -0.231058108f, - 0.973293246f, -0.229565366f, - 0.973644250f, -0.228072083f, - 0.973992962f, -0.226578264f, - 0.974339383f, -0.225083911f, - 0.974683511f, -0.223589029f, - 0.975025345f, -0.222093621f, - 0.975364885f, -0.220597690f, - 0.975702130f, -0.219101240f, - 0.976037079f, -0.217604275f, - 0.976369731f, -0.216106797f, - 0.976700086f, -0.214608811f, - 0.977028143f, -0.213110320f, - 0.977353900f, -0.211611327f, - 0.977677358f, -0.210111837f, - 0.977998515f, -0.208611852f, - 0.978317371f, -0.207111376f, - 0.978633924f, -0.205610413f, - 0.978948175f, -0.204108966f, - 0.979260123f, -0.202607039f, - 0.979569766f, -0.201104635f, - 0.979877104f, -0.199601758f, - 0.980182136f, -0.198098411f, - 0.980484862f, -0.196594598f, - 0.980785280f, -0.195090322f, - 0.981083391f, -0.193585587f, - 0.981379193f, -0.192080397f, - 0.981672686f, -0.190574755f, - 0.981963869f, -0.189068664f, - 0.982252741f, -0.187562129f, - 0.982539302f, -0.186055152f, - 0.982823551f, -0.184547737f, - 0.983105487f, -0.183039888f, - 0.983385110f, -0.181531608f, - 0.983662419f, -0.180022901f, - 0.983937413f, -0.178513771f, - 0.984210092f, -0.177004220f, - 0.984480455f, -0.175494253f, - 0.984748502f, -0.173983873f, - 0.985014231f, -0.172473084f, - 0.985277642f, -0.170961889f, - 0.985538735f, -0.169450291f, - 0.985797509f, -0.167938295f, - 0.986053963f, -0.166425904f, - 0.986308097f, -0.164913120f, - 0.986559910f, -0.163399949f, - 0.986809402f, -0.161886394f, - 0.987056571f, -0.160372457f, - 0.987301418f, -0.158858143f, - 0.987543942f, -0.157343456f, - 0.987784142f, -0.155828398f, - 0.988022017f, -0.154312973f, - 0.988257568f, -0.152797185f, - 0.988490793f, -0.151281038f, - 0.988721692f, -0.149764535f, - 0.988950265f, -0.148247679f, - 0.989176510f, -0.146730474f, - 0.989400428f, -0.145212925f, - 0.989622017f, -0.143695033f, - 0.989841278f, -0.142176804f, - 0.990058210f, -0.140658239f, - 0.990272812f, -0.139139344f, - 0.990485084f, -0.137620122f, - 0.990695025f, -0.136100575f, - 0.990902635f, -0.134580709f, - 0.991107914f, -0.133060525f, - 0.991310860f, -0.131540029f, - 0.991511473f, -0.130019223f, - 0.991709754f, -0.128498111f, - 0.991905700f, -0.126976696f, - 0.992099313f, -0.125454983f, - 0.992290591f, -0.123932975f, - 0.992479535f, -0.122410675f, - 0.992666142f, -0.120888087f, - 0.992850414f, -0.119365215f, - 0.993032350f, -0.117842062f, - 0.993211949f, -0.116318631f, - 0.993389211f, -0.114794927f, - 0.993564136f, -0.113270952f, - 0.993736722f, -0.111746711f, - 0.993906970f, -0.110222207f, - 0.994074879f, -0.108697444f, - 0.994240449f, -0.107172425f, - 0.994403680f, -0.105647154f, - 0.994564571f, -0.104121634f, - 0.994723121f, -0.102595869f, - 0.994879331f, -0.101069863f, - 0.995033199f, -0.099543619f, - 0.995184727f, -0.098017140f, - 0.995333912f, -0.096490431f, - 0.995480755f, -0.094963495f, - 0.995625256f, -0.093436336f, - 0.995767414f, -0.091908956f, - 0.995907229f, -0.090381361f, - 0.996044701f, -0.088853553f, - 0.996179829f, -0.087325535f, - 0.996312612f, -0.085797312f, - 0.996443051f, -0.084268888f, - 0.996571146f, -0.082740265f, - 0.996696895f, -0.081211447f, - 0.996820299f, -0.079682438f, - 0.996941358f, -0.078153242f, - 0.997060070f, -0.076623861f, - 0.997176437f, -0.075094301f, - 0.997290457f, -0.073564564f, - 0.997402130f, -0.072034653f, - 0.997511456f, -0.070504573f, - 0.997618435f, -0.068974328f, - 0.997723067f, -0.067443920f, - 0.997825350f, -0.065913353f, - 0.997925286f, -0.064382631f, - 0.998022874f, -0.062851758f, - 0.998118113f, -0.061320736f, - 0.998211003f, -0.059789571f, - 0.998301545f, -0.058258265f, - 0.998389737f, -0.056726821f, - 0.998475581f, -0.055195244f, - 0.998559074f, -0.053663538f, - 0.998640218f, -0.052131705f, - 0.998719012f, -0.050599749f, - 0.998795456f, -0.049067674f, - 0.998869550f, -0.047535484f, - 0.998941293f, -0.046003182f, - 0.999010686f, -0.044470772f, - 0.999077728f, -0.042938257f, - 0.999142419f, -0.041405641f, - 0.999204759f, -0.039872928f, - 0.999264747f, -0.038340120f, - 0.999322385f, -0.036807223f, - 0.999377670f, -0.035274239f, - 0.999430605f, -0.033741172f, - 0.999481187f, -0.032208025f, - 0.999529418f, -0.030674803f, - 0.999575296f, -0.029141509f, - 0.999618822f, -0.027608146f, - 0.999659997f, -0.026074718f, - 0.999698819f, -0.024541229f, - 0.999735288f, -0.023007681f, - 0.999769405f, -0.021474080f, - 0.999801170f, -0.019940429f, - 0.999830582f, -0.018406730f, - 0.999857641f, -0.016872988f, - 0.999882347f, -0.015339206f, - 0.999904701f, -0.013805389f, - 0.999924702f, -0.012271538f, - 0.999942350f, -0.010737659f, - 0.999957645f, -0.009203755f, - 0.999970586f, -0.007669829f, - 0.999981175f, -0.006135885f, - 0.999989411f, -0.004601926f, - 0.999995294f, -0.003067957f, - 0.999998823f, -0.001533980f -}; - -/* -* @brief Q31 Twiddle factors Table -*/ - -/** -* \par -* Example code for Q31 Twiddle factors Generation:: -* \par -* <pre>for(i = 0; i< 3N/4; i++) -* { -* twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N); -* twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N); -* } </pre> -* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to Q31(Fixed point 1.31): -* round(twiddleCoefQ31(i) * pow(2, 31)) -* -*/ - -const q31_t twiddleCoefQ31[6144] = { - 0x7fffffff, 0x0, 0x7ffff621, 0x3243f5, 0x7fffd886, 0x6487e3, 0x7fffa72c, - 0x96cbc1, - 0x7fff6216, 0xc90f88, 0x7fff0943, 0xfb5330, 0x7ffe9cb2, 0x12d96b1, - 0x7ffe1c65, 0x15fda03, - 0x7ffd885a, 0x1921d20, 0x7ffce093, 0x1c45ffe, 0x7ffc250f, 0x1f6a297, - 0x7ffb55ce, 0x228e4e2, - 0x7ffa72d1, 0x25b26d7, 0x7ff97c18, 0x28d6870, 0x7ff871a2, 0x2bfa9a4, - 0x7ff75370, 0x2f1ea6c, - 0x7ff62182, 0x3242abf, 0x7ff4dbd9, 0x3566a96, 0x7ff38274, 0x388a9ea, - 0x7ff21553, 0x3bae8b2, - 0x7ff09478, 0x3ed26e6, 0x7feeffe1, 0x41f6480, 0x7fed5791, 0x451a177, - 0x7feb9b85, 0x483ddc3, - 0x7fe9cbc0, 0x4b6195d, 0x7fe7e841, 0x4e8543e, 0x7fe5f108, 0x51a8e5c, - 0x7fe3e616, 0x54cc7b1, - 0x7fe1c76b, 0x57f0035, 0x7fdf9508, 0x5b137df, 0x7fdd4eec, 0x5e36ea9, - 0x7fdaf519, 0x615a48b, - 0x7fd8878e, 0x647d97c, 0x7fd6064c, 0x67a0d76, 0x7fd37153, 0x6ac406f, - 0x7fd0c8a3, 0x6de7262, - 0x7fce0c3e, 0x710a345, 0x7fcb3c23, 0x742d311, 0x7fc85854, 0x77501be, - 0x7fc560cf, 0x7a72f45, - 0x7fc25596, 0x7d95b9e, 0x7fbf36aa, 0x80b86c2, 0x7fbc040a, 0x83db0a7, - 0x7fb8bdb8, 0x86fd947, - 0x7fb563b3, 0x8a2009a, 0x7fb1f5fc, 0x8d42699, 0x7fae7495, 0x9064b3a, - 0x7faadf7c, 0x9386e78, - 0x7fa736b4, 0x96a9049, 0x7fa37a3c, 0x99cb0a7, 0x7f9faa15, 0x9cecf89, - 0x7f9bc640, 0xa00ece8, - 0x7f97cebd, 0xa3308bd, 0x7f93c38c, 0xa6522fe, 0x7f8fa4b0, 0xa973ba5, - 0x7f8b7227, 0xac952aa, - 0x7f872bf3, 0xafb6805, 0x7f82d214, 0xb2d7baf, 0x7f7e648c, 0xb5f8d9f, - 0x7f79e35a, 0xb919dcf, - 0x7f754e80, 0xbc3ac35, 0x7f70a5fe, 0xbf5b8cb, 0x7f6be9d4, 0xc27c389, - 0x7f671a05, 0xc59cc68, - 0x7f62368f, 0xc8bd35e, 0x7f5d3f75, 0xcbdd865, 0x7f5834b7, 0xcefdb76, - 0x7f531655, 0xd21dc87, - 0x7f4de451, 0xd53db92, 0x7f489eaa, 0xd85d88f, 0x7f434563, 0xdb7d376, - 0x7f3dd87c, 0xde9cc40, - 0x7f3857f6, 0xe1bc2e4, 0x7f32c3d1, 0xe4db75b, 0x7f2d1c0e, 0xe7fa99e, - 0x7f2760af, 0xeb199a4, - 0x7f2191b4, 0xee38766, 0x7f1baf1e, 0xf1572dc, 0x7f15b8ee, 0xf475bff, - 0x7f0faf25, 0xf7942c7, - 0x7f0991c4, 0xfab272b, 0x7f0360cb, 0xfdd0926, 0x7efd1c3c, 0x100ee8ad, - 0x7ef6c418, 0x1040c5bb, - 0x7ef05860, 0x1072a048, 0x7ee9d914, 0x10a4784b, 0x7ee34636, 0x10d64dbd, - 0x7edc9fc6, 0x11082096, - 0x7ed5e5c6, 0x1139f0cf, 0x7ecf1837, 0x116bbe60, 0x7ec8371a, 0x119d8941, - 0x7ec14270, 0x11cf516a, - 0x7eba3a39, 0x120116d5, 0x7eb31e78, 0x1232d979, 0x7eabef2c, 0x1264994e, - 0x7ea4ac58, 0x1296564d, - 0x7e9d55fc, 0x12c8106f, 0x7e95ec1a, 0x12f9c7aa, 0x7e8e6eb2, 0x132b7bf9, - 0x7e86ddc6, 0x135d2d53, - 0x7e7f3957, 0x138edbb1, 0x7e778166, 0x13c0870a, 0x7e6fb5f4, 0x13f22f58, - 0x7e67d703, 0x1423d492, - 0x7e5fe493, 0x145576b1, 0x7e57dea7, 0x148715ae, 0x7e4fc53e, 0x14b8b17f, - 0x7e47985b, 0x14ea4a1f, - 0x7e3f57ff, 0x151bdf86, 0x7e37042a, 0x154d71aa, 0x7e2e9cdf, 0x157f0086, - 0x7e26221f, 0x15b08c12, - 0x7e1d93ea, 0x15e21445, 0x7e14f242, 0x16139918, 0x7e0c3d29, 0x16451a83, - 0x7e0374a0, 0x1676987f, - 0x7dfa98a8, 0x16a81305, 0x7df1a942, 0x16d98a0c, 0x7de8a670, 0x170afd8d, - 0x7ddf9034, 0x173c6d80, - 0x7dd6668f, 0x176dd9de, 0x7dcd2981, 0x179f429f, 0x7dc3d90d, 0x17d0a7bc, - 0x7dba7534, 0x1802092c, - 0x7db0fdf8, 0x183366e9, 0x7da77359, 0x1864c0ea, 0x7d9dd55a, 0x18961728, - 0x7d9423fc, 0x18c7699b, - 0x7d8a5f40, 0x18f8b83c, 0x7d808728, 0x192a0304, 0x7d769bb5, 0x195b49ea, - 0x7d6c9ce9, 0x198c8ce7, - 0x7d628ac6, 0x19bdcbf3, 0x7d58654d, 0x19ef0707, 0x7d4e2c7f, 0x1a203e1b, - 0x7d43e05e, 0x1a517128, - 0x7d3980ec, 0x1a82a026, 0x7d2f0e2b, 0x1ab3cb0d, 0x7d24881b, 0x1ae4f1d6, - 0x7d19eebf, 0x1b161479, - 0x7d0f4218, 0x1b4732ef, 0x7d048228, 0x1b784d30, 0x7cf9aef0, 0x1ba96335, - 0x7ceec873, 0x1bda74f6, - 0x7ce3ceb2, 0x1c0b826a, 0x7cd8c1ae, 0x1c3c8b8c, 0x7ccda169, 0x1c6d9053, - 0x7cc26de5, 0x1c9e90b8, - 0x7cb72724, 0x1ccf8cb3, 0x7cabcd28, 0x1d00843d, 0x7ca05ff1, 0x1d31774d, - 0x7c94df83, 0x1d6265dd, - 0x7c894bde, 0x1d934fe5, 0x7c7da505, 0x1dc4355e, 0x7c71eaf9, 0x1df5163f, - 0x7c661dbc, 0x1e25f282, - 0x7c5a3d50, 0x1e56ca1e, 0x7c4e49b7, 0x1e879d0d, 0x7c4242f2, 0x1eb86b46, - 0x7c362904, 0x1ee934c3, - 0x7c29fbee, 0x1f19f97b, 0x7c1dbbb3, 0x1f4ab968, 0x7c116853, 0x1f7b7481, - 0x7c0501d2, 0x1fac2abf, - 0x7bf88830, 0x1fdcdc1b, 0x7bebfb70, 0x200d888d, 0x7bdf5b94, 0x203e300d, - 0x7bd2a89e, 0x206ed295, - 0x7bc5e290, 0x209f701c, 0x7bb9096b, 0x20d0089c, 0x7bac1d31, 0x21009c0c, - 0x7b9f1de6, 0x21312a65, - 0x7b920b89, 0x2161b3a0, 0x7b84e61f, 0x219237b5, 0x7b77ada8, 0x21c2b69c, - 0x7b6a6227, 0x21f3304f, - 0x7b5d039e, 0x2223a4c5, 0x7b4f920e, 0x225413f8, 0x7b420d7a, 0x22847de0, - 0x7b3475e5, 0x22b4e274, - 0x7b26cb4f, 0x22e541af, 0x7b190dbc, 0x23159b88, 0x7b0b3d2c, 0x2345eff8, - 0x7afd59a4, 0x23763ef7, - 0x7aef6323, 0x23a6887f, 0x7ae159ae, 0x23d6cc87, 0x7ad33d45, 0x24070b08, - 0x7ac50dec, 0x243743fa, - 0x7ab6cba4, 0x24677758, 0x7aa8766f, 0x2497a517, 0x7a9a0e50, 0x24c7cd33, - 0x7a8b9348, 0x24f7efa2, - 0x7a7d055b, 0x25280c5e, 0x7a6e648a, 0x2558235f, 0x7a5fb0d8, 0x2588349d, - 0x7a50ea47, 0x25b84012, - 0x7a4210d8, 0x25e845b6, 0x7a332490, 0x26184581, 0x7a24256f, 0x26483f6c, - 0x7a151378, 0x26783370, - 0x7a05eead, 0x26a82186, 0x79f6b711, 0x26d809a5, 0x79e76ca7, 0x2707ebc7, - 0x79d80f6f, 0x2737c7e3, - 0x79c89f6e, 0x27679df4, 0x79b91ca4, 0x27976df1, 0x79a98715, 0x27c737d3, - 0x7999dec4, 0x27f6fb92, - 0x798a23b1, 0x2826b928, 0x797a55e0, 0x2856708d, 0x796a7554, 0x288621b9, - 0x795a820e, 0x28b5cca5, - 0x794a7c12, 0x28e5714b, 0x793a6361, 0x29150fa1, 0x792a37fe, 0x2944a7a2, - 0x7919f9ec, 0x29743946, - 0x7909a92d, 0x29a3c485, 0x78f945c3, 0x29d34958, 0x78e8cfb2, 0x2a02c7b8, - 0x78d846fb, 0x2a323f9e, - 0x78c7aba2, 0x2a61b101, 0x78b6fda8, 0x2a911bdc, 0x78a63d11, 0x2ac08026, - 0x789569df, 0x2aefddd8, - 0x78848414, 0x2b1f34eb, 0x78738bb3, 0x2b4e8558, 0x786280bf, 0x2b7dcf17, - 0x7851633b, 0x2bad1221, - 0x78403329, 0x2bdc4e6f, 0x782ef08b, 0x2c0b83fa, 0x781d9b65, 0x2c3ab2b9, - 0x780c33b8, 0x2c69daa6, - 0x77fab989, 0x2c98fbba, 0x77e92cd9, 0x2cc815ee, 0x77d78daa, 0x2cf72939, - 0x77c5dc01, 0x2d263596, - 0x77b417df, 0x2d553afc, 0x77a24148, 0x2d843964, 0x7790583e, 0x2db330c7, - 0x777e5cc3, 0x2de2211e, - 0x776c4edb, 0x2e110a62, 0x775a2e89, 0x2e3fec8b, 0x7747fbce, 0x2e6ec792, - 0x7735b6af, 0x2e9d9b70, - 0x77235f2d, 0x2ecc681e, 0x7710f54c, 0x2efb2d95, 0x76fe790e, 0x2f29ebcc, - 0x76ebea77, 0x2f58a2be, - 0x76d94989, 0x2f875262, 0x76c69647, 0x2fb5fab2, 0x76b3d0b4, 0x2fe49ba7, - 0x76a0f8d2, 0x30133539, - 0x768e0ea6, 0x3041c761, 0x767b1231, 0x30705217, 0x76680376, 0x309ed556, - 0x7654e279, 0x30cd5115, - 0x7641af3d, 0x30fbc54d, 0x762e69c4, 0x312a31f8, 0x761b1211, 0x3158970e, - 0x7607a828, 0x3186f487, - 0x75f42c0b, 0x31b54a5e, 0x75e09dbd, 0x31e39889, 0x75ccfd42, 0x3211df04, - 0x75b94a9c, 0x32401dc6, - 0x75a585cf, 0x326e54c7, 0x7591aedd, 0x329c8402, 0x757dc5ca, 0x32caab6f, - 0x7569ca99, 0x32f8cb07, - 0x7555bd4c, 0x3326e2c3, 0x75419de7, 0x3354f29b, 0x752d6c6c, 0x3382fa88, - 0x751928e0, 0x33b0fa84, - 0x7504d345, 0x33def287, 0x74f06b9e, 0x340ce28b, 0x74dbf1ef, 0x343aca87, - 0x74c7663a, 0x3468aa76, - 0x74b2c884, 0x34968250, 0x749e18cd, 0x34c4520d, 0x7489571c, 0x34f219a8, - 0x74748371, 0x351fd918, - 0x745f9dd1, 0x354d9057, 0x744aa63f, 0x357b3f5d, 0x74359cbd, 0x35a8e625, - 0x74208150, 0x35d684a6, - 0x740b53fb, 0x36041ad9, 0x73f614c0, 0x3631a8b8, 0x73e0c3a3, 0x365f2e3b, - 0x73cb60a8, 0x368cab5c, - 0x73b5ebd1, 0x36ba2014, 0x73a06522, 0x36e78c5b, 0x738acc9e, 0x3714f02a, - 0x73752249, 0x37424b7b, - 0x735f6626, 0x376f9e46, 0x73499838, 0x379ce885, 0x7333b883, 0x37ca2a30, - 0x731dc70a, 0x37f76341, - 0x7307c3d0, 0x382493b0, 0x72f1aed9, 0x3851bb77, 0x72db8828, 0x387eda8e, - 0x72c54fc1, 0x38abf0ef, - 0x72af05a7, 0x38d8fe93, 0x7298a9dd, 0x39060373, 0x72823c67, 0x3932ff87, - 0x726bbd48, 0x395ff2c9, - 0x72552c85, 0x398cdd32, 0x723e8a20, 0x39b9bebc, 0x7227d61c, 0x39e6975e, - 0x7211107e, 0x3a136712, - 0x71fa3949, 0x3a402dd2, 0x71e35080, 0x3a6ceb96, 0x71cc5626, 0x3a99a057, - 0x71b54a41, 0x3ac64c0f, - 0x719e2cd2, 0x3af2eeb7, 0x7186fdde, 0x3b1f8848, 0x716fbd68, 0x3b4c18ba, - 0x71586b74, 0x3b78a007, - 0x71410805, 0x3ba51e29, 0x7129931f, 0x3bd19318, 0x71120cc5, 0x3bfdfecd, - 0x70fa74fc, 0x3c2a6142, - 0x70e2cbc6, 0x3c56ba70, 0x70cb1128, 0x3c830a50, 0x70b34525, 0x3caf50da, - 0x709b67c0, 0x3cdb8e09, - 0x708378ff, 0x3d07c1d6, 0x706b78e3, 0x3d33ec39, 0x70536771, 0x3d600d2c, - 0x703b44ad, 0x3d8c24a8, - 0x7023109a, 0x3db832a6, 0x700acb3c, 0x3de4371f, 0x6ff27497, 0x3e10320d, - 0x6fda0cae, 0x3e3c2369, - 0x6fc19385, 0x3e680b2c, 0x6fa90921, 0x3e93e950, 0x6f906d84, 0x3ebfbdcd, - 0x6f77c0b3, 0x3eeb889c, - 0x6f5f02b2, 0x3f1749b8, 0x6f463383, 0x3f430119, 0x6f2d532c, 0x3f6eaeb8, - 0x6f1461b0, 0x3f9a5290, - 0x6efb5f12, 0x3fc5ec98, 0x6ee24b57, 0x3ff17cca, 0x6ec92683, 0x401d0321, - 0x6eaff099, 0x40487f94, - 0x6e96a99d, 0x4073f21d, 0x6e7d5193, 0x409f5ab6, 0x6e63e87f, 0x40cab958, - 0x6e4a6e66, 0x40f60dfb, - 0x6e30e34a, 0x4121589b, 0x6e174730, 0x414c992f, 0x6dfd9a1c, 0x4177cfb1, - 0x6de3dc11, 0x41a2fc1a, - 0x6dca0d14, 0x41ce1e65, 0x6db02d29, 0x41f93689, 0x6d963c54, 0x42244481, - 0x6d7c3a98, 0x424f4845, - 0x6d6227fa, 0x427a41d0, 0x6d48047e, 0x42a5311b, 0x6d2dd027, 0x42d0161e, - 0x6d138afb, 0x42faf0d4, - 0x6cf934fc, 0x4325c135, 0x6cdece2f, 0x4350873c, 0x6cc45698, 0x437b42e1, - 0x6ca9ce3b, 0x43a5f41e, - 0x6c8f351c, 0x43d09aed, 0x6c748b3f, 0x43fb3746, 0x6c59d0a9, 0x4425c923, - 0x6c3f055d, 0x4450507e, - 0x6c242960, 0x447acd50, 0x6c093cb6, 0x44a53f93, 0x6bee3f62, 0x44cfa740, - 0x6bd3316a, 0x44fa0450, - 0x6bb812d1, 0x452456bd, 0x6b9ce39b, 0x454e9e80, 0x6b81a3cd, 0x4578db93, - 0x6b66536b, 0x45a30df0, - 0x6b4af279, 0x45cd358f, 0x6b2f80fb, 0x45f7526b, 0x6b13fef5, 0x4621647d, - 0x6af86c6c, 0x464b6bbe, - 0x6adcc964, 0x46756828, 0x6ac115e2, 0x469f59b4, 0x6aa551e9, 0x46c9405c, - 0x6a897d7d, 0x46f31c1a, - 0x6a6d98a4, 0x471cece7, 0x6a51a361, 0x4746b2bc, 0x6a359db9, 0x47706d93, - 0x6a1987b0, 0x479a1d67, - 0x69fd614a, 0x47c3c22f, 0x69e12a8c, 0x47ed5be6, 0x69c4e37a, 0x4816ea86, - 0x69a88c19, 0x48406e08, - 0x698c246c, 0x4869e665, 0x696fac78, 0x48935397, 0x69532442, 0x48bcb599, - 0x69368bce, 0x48e60c62, - 0x6919e320, 0x490f57ee, 0x68fd2a3d, 0x49389836, 0x68e06129, 0x4961cd33, - 0x68c387e9, 0x498af6df, - 0x68a69e81, 0x49b41533, 0x6889a4f6, 0x49dd282a, 0x686c9b4b, 0x4a062fbd, - 0x684f8186, 0x4a2f2be6, - 0x683257ab, 0x4a581c9e, 0x68151dbe, 0x4a8101de, 0x67f7d3c5, 0x4aa9dba2, - 0x67da79c3, 0x4ad2a9e2, - 0x67bd0fbd, 0x4afb6c98, 0x679f95b7, 0x4b2423be, 0x67820bb7, 0x4b4ccf4d, - 0x676471c0, 0x4b756f40, - 0x6746c7d8, 0x4b9e0390, 0x67290e02, 0x4bc68c36, 0x670b4444, 0x4bef092d, - 0x66ed6aa1, 0x4c177a6e, - 0x66cf8120, 0x4c3fdff4, 0x66b187c3, 0x4c6839b7, 0x66937e91, 0x4c9087b1, - 0x6675658c, 0x4cb8c9dd, - 0x66573cbb, 0x4ce10034, 0x66390422, 0x4d092ab0, 0x661abbc5, 0x4d31494b, - 0x65fc63a9, 0x4d595bfe, - 0x65ddfbd3, 0x4d8162c4, 0x65bf8447, 0x4da95d96, 0x65a0fd0b, 0x4dd14c6e, - 0x65826622, 0x4df92f46, - 0x6563bf92, 0x4e210617, 0x6545095f, 0x4e48d0dd, 0x6526438f, 0x4e708f8f, - 0x65076e25, 0x4e984229, - 0x64e88926, 0x4ebfe8a5, 0x64c99498, 0x4ee782fb, 0x64aa907f, 0x4f0f1126, - 0x648b7ce0, 0x4f369320, - 0x646c59bf, 0x4f5e08e3, 0x644d2722, 0x4f857269, 0x642de50d, 0x4faccfab, - 0x640e9386, 0x4fd420a4, - 0x63ef3290, 0x4ffb654d, 0x63cfc231, 0x50229da1, 0x63b0426d, 0x5049c999, - 0x6390b34a, 0x5070e92f, - 0x637114cc, 0x5097fc5e, 0x635166f9, 0x50bf031f, 0x6331a9d4, 0x50e5fd6d, - 0x6311dd64, 0x510ceb40, - 0x62f201ac, 0x5133cc94, 0x62d216b3, 0x515aa162, 0x62b21c7b, 0x518169a5, - 0x6292130c, 0x51a82555, - 0x6271fa69, 0x51ced46e, 0x6251d298, 0x51f576ea, 0x62319b9d, 0x521c0cc2, - 0x6211557e, 0x524295f0, - 0x61f1003f, 0x5269126e, 0x61d09be5, 0x528f8238, 0x61b02876, 0x52b5e546, - 0x618fa5f7, 0x52dc3b92, - 0x616f146c, 0x53028518, 0x614e73da, 0x5328c1d0, 0x612dc447, 0x534ef1b5, - 0x610d05b7, 0x537514c2, - 0x60ec3830, 0x539b2af0, 0x60cb5bb7, 0x53c13439, 0x60aa7050, 0x53e73097, - 0x60897601, 0x540d2005, - 0x60686ccf, 0x5433027d, 0x604754bf, 0x5458d7f9, 0x60262dd6, 0x547ea073, - 0x6004f819, 0x54a45be6, - 0x5fe3b38d, 0x54ca0a4b, 0x5fc26038, 0x54efab9c, 0x5fa0fe1f, 0x55153fd4, - 0x5f7f8d46, 0x553ac6ee, - 0x5f5e0db3, 0x556040e2, 0x5f3c7f6b, 0x5585adad, 0x5f1ae274, 0x55ab0d46, - 0x5ef936d1, 0x55d05faa, - 0x5ed77c8a, 0x55f5a4d2, 0x5eb5b3a2, 0x561adcb9, 0x5e93dc1f, 0x56400758, - 0x5e71f606, 0x566524aa, - 0x5e50015d, 0x568a34a9, 0x5e2dfe29, 0x56af3750, 0x5e0bec6e, 0x56d42c99, - 0x5de9cc33, 0x56f9147e, - 0x5dc79d7c, 0x571deefa, 0x5da5604f, 0x5742bc06, 0x5d8314b1, 0x57677b9d, - 0x5d60baa7, 0x578c2dba, - 0x5d3e5237, 0x57b0d256, 0x5d1bdb65, 0x57d5696d, 0x5cf95638, 0x57f9f2f8, - 0x5cd6c2b5, 0x581e6ef1, - 0x5cb420e0, 0x5842dd54, 0x5c9170bf, 0x58673e1b, 0x5c6eb258, 0x588b9140, - 0x5c4be5b0, 0x58afd6bd, - 0x5c290acc, 0x58d40e8c, 0x5c0621b2, 0x58f838a9, 0x5be32a67, 0x591c550e, - 0x5bc024f0, 0x594063b5, - 0x5b9d1154, 0x59646498, 0x5b79ef96, 0x598857b2, 0x5b56bfbd, 0x59ac3cfd, - 0x5b3381ce, 0x59d01475, - 0x5b1035cf, 0x59f3de12, 0x5aecdbc5, 0x5a1799d1, 0x5ac973b5, 0x5a3b47ab, - 0x5aa5fda5, 0x5a5ee79a, - 0x5a82799a, 0x5a82799a, 0x5a5ee79a, 0x5aa5fda5, 0x5a3b47ab, 0x5ac973b5, - 0x5a1799d1, 0x5aecdbc5, - 0x59f3de12, 0x5b1035cf, 0x59d01475, 0x5b3381ce, 0x59ac3cfd, 0x5b56bfbd, - 0x598857b2, 0x5b79ef96, - 0x59646498, 0x5b9d1154, 0x594063b5, 0x5bc024f0, 0x591c550e, 0x5be32a67, - 0x58f838a9, 0x5c0621b2, - 0x58d40e8c, 0x5c290acc, 0x58afd6bd, 0x5c4be5b0, 0x588b9140, 0x5c6eb258, - 0x58673e1b, 0x5c9170bf, - 0x5842dd54, 0x5cb420e0, 0x581e6ef1, 0x5cd6c2b5, 0x57f9f2f8, 0x5cf95638, - 0x57d5696d, 0x5d1bdb65, - 0x57b0d256, 0x5d3e5237, 0x578c2dba, 0x5d60baa7, 0x57677b9d, 0x5d8314b1, - 0x5742bc06, 0x5da5604f, - 0x571deefa, 0x5dc79d7c, 0x56f9147e, 0x5de9cc33, 0x56d42c99, 0x5e0bec6e, - 0x56af3750, 0x5e2dfe29, - 0x568a34a9, 0x5e50015d, 0x566524aa, 0x5e71f606, 0x56400758, 0x5e93dc1f, - 0x561adcb9, 0x5eb5b3a2, - 0x55f5a4d2, 0x5ed77c8a, 0x55d05faa, 0x5ef936d1, 0x55ab0d46, 0x5f1ae274, - 0x5585adad, 0x5f3c7f6b, - 0x556040e2, 0x5f5e0db3, 0x553ac6ee, 0x5f7f8d46, 0x55153fd4, 0x5fa0fe1f, - 0x54efab9c, 0x5fc26038, - 0x54ca0a4b, 0x5fe3b38d, 0x54a45be6, 0x6004f819, 0x547ea073, 0x60262dd6, - 0x5458d7f9, 0x604754bf, - 0x5433027d, 0x60686ccf, 0x540d2005, 0x60897601, 0x53e73097, 0x60aa7050, - 0x53c13439, 0x60cb5bb7, - 0x539b2af0, 0x60ec3830, 0x537514c2, 0x610d05b7, 0x534ef1b5, 0x612dc447, - 0x5328c1d0, 0x614e73da, - 0x53028518, 0x616f146c, 0x52dc3b92, 0x618fa5f7, 0x52b5e546, 0x61b02876, - 0x528f8238, 0x61d09be5, - 0x5269126e, 0x61f1003f, 0x524295f0, 0x6211557e, 0x521c0cc2, 0x62319b9d, - 0x51f576ea, 0x6251d298, - 0x51ced46e, 0x6271fa69, 0x51a82555, 0x6292130c, 0x518169a5, 0x62b21c7b, - 0x515aa162, 0x62d216b3, - 0x5133cc94, 0x62f201ac, 0x510ceb40, 0x6311dd64, 0x50e5fd6d, 0x6331a9d4, - 0x50bf031f, 0x635166f9, - 0x5097fc5e, 0x637114cc, 0x5070e92f, 0x6390b34a, 0x5049c999, 0x63b0426d, - 0x50229da1, 0x63cfc231, - 0x4ffb654d, 0x63ef3290, 0x4fd420a4, 0x640e9386, 0x4faccfab, 0x642de50d, - 0x4f857269, 0x644d2722, - 0x4f5e08e3, 0x646c59bf, 0x4f369320, 0x648b7ce0, 0x4f0f1126, 0x64aa907f, - 0x4ee782fb, 0x64c99498, - 0x4ebfe8a5, 0x64e88926, 0x4e984229, 0x65076e25, 0x4e708f8f, 0x6526438f, - 0x4e48d0dd, 0x6545095f, - 0x4e210617, 0x6563bf92, 0x4df92f46, 0x65826622, 0x4dd14c6e, 0x65a0fd0b, - 0x4da95d96, 0x65bf8447, - 0x4d8162c4, 0x65ddfbd3, 0x4d595bfe, 0x65fc63a9, 0x4d31494b, 0x661abbc5, - 0x4d092ab0, 0x66390422, - 0x4ce10034, 0x66573cbb, 0x4cb8c9dd, 0x6675658c, 0x4c9087b1, 0x66937e91, - 0x4c6839b7, 0x66b187c3, - 0x4c3fdff4, 0x66cf8120, 0x4c177a6e, 0x66ed6aa1, 0x4bef092d, 0x670b4444, - 0x4bc68c36, 0x67290e02, - 0x4b9e0390, 0x6746c7d8, 0x4b756f40, 0x676471c0, 0x4b4ccf4d, 0x67820bb7, - 0x4b2423be, 0x679f95b7, - 0x4afb6c98, 0x67bd0fbd, 0x4ad2a9e2, 0x67da79c3, 0x4aa9dba2, 0x67f7d3c5, - 0x4a8101de, 0x68151dbe, - 0x4a581c9e, 0x683257ab, 0x4a2f2be6, 0x684f8186, 0x4a062fbd, 0x686c9b4b, - 0x49dd282a, 0x6889a4f6, - 0x49b41533, 0x68a69e81, 0x498af6df, 0x68c387e9, 0x4961cd33, 0x68e06129, - 0x49389836, 0x68fd2a3d, - 0x490f57ee, 0x6919e320, 0x48e60c62, 0x69368bce, 0x48bcb599, 0x69532442, - 0x48935397, 0x696fac78, - 0x4869e665, 0x698c246c, 0x48406e08, 0x69a88c19, 0x4816ea86, 0x69c4e37a, - 0x47ed5be6, 0x69e12a8c, - 0x47c3c22f, 0x69fd614a, 0x479a1d67, 0x6a1987b0, 0x47706d93, 0x6a359db9, - 0x4746b2bc, 0x6a51a361, - 0x471cece7, 0x6a6d98a4, 0x46f31c1a, 0x6a897d7d, 0x46c9405c, 0x6aa551e9, - 0x469f59b4, 0x6ac115e2, - 0x46756828, 0x6adcc964, 0x464b6bbe, 0x6af86c6c, 0x4621647d, 0x6b13fef5, - 0x45f7526b, 0x6b2f80fb, - 0x45cd358f, 0x6b4af279, 0x45a30df0, 0x6b66536b, 0x4578db93, 0x6b81a3cd, - 0x454e9e80, 0x6b9ce39b, - 0x452456bd, 0x6bb812d1, 0x44fa0450, 0x6bd3316a, 0x44cfa740, 0x6bee3f62, - 0x44a53f93, 0x6c093cb6, - 0x447acd50, 0x6c242960, 0x4450507e, 0x6c3f055d, 0x4425c923, 0x6c59d0a9, - 0x43fb3746, 0x6c748b3f, - 0x43d09aed, 0x6c8f351c, 0x43a5f41e, 0x6ca9ce3b, 0x437b42e1, 0x6cc45698, - 0x4350873c, 0x6cdece2f, - 0x4325c135, 0x6cf934fc, 0x42faf0d4, 0x6d138afb, 0x42d0161e, 0x6d2dd027, - 0x42a5311b, 0x6d48047e, - 0x427a41d0, 0x6d6227fa, 0x424f4845, 0x6d7c3a98, 0x42244481, 0x6d963c54, - 0x41f93689, 0x6db02d29, - 0x41ce1e65, 0x6dca0d14, 0x41a2fc1a, 0x6de3dc11, 0x4177cfb1, 0x6dfd9a1c, - 0x414c992f, 0x6e174730, - 0x4121589b, 0x6e30e34a, 0x40f60dfb, 0x6e4a6e66, 0x40cab958, 0x6e63e87f, - 0x409f5ab6, 0x6e7d5193, - 0x4073f21d, 0x6e96a99d, 0x40487f94, 0x6eaff099, 0x401d0321, 0x6ec92683, - 0x3ff17cca, 0x6ee24b57, - 0x3fc5ec98, 0x6efb5f12, 0x3f9a5290, 0x6f1461b0, 0x3f6eaeb8, 0x6f2d532c, - 0x3f430119, 0x6f463383, - 0x3f1749b8, 0x6f5f02b2, 0x3eeb889c, 0x6f77c0b3, 0x3ebfbdcd, 0x6f906d84, - 0x3e93e950, 0x6fa90921, - 0x3e680b2c, 0x6fc19385, 0x3e3c2369, 0x6fda0cae, 0x3e10320d, 0x6ff27497, - 0x3de4371f, 0x700acb3c, - 0x3db832a6, 0x7023109a, 0x3d8c24a8, 0x703b44ad, 0x3d600d2c, 0x70536771, - 0x3d33ec39, 0x706b78e3, - 0x3d07c1d6, 0x708378ff, 0x3cdb8e09, 0x709b67c0, 0x3caf50da, 0x70b34525, - 0x3c830a50, 0x70cb1128, - 0x3c56ba70, 0x70e2cbc6, 0x3c2a6142, 0x70fa74fc, 0x3bfdfecd, 0x71120cc5, - 0x3bd19318, 0x7129931f, - 0x3ba51e29, 0x71410805, 0x3b78a007, 0x71586b74, 0x3b4c18ba, 0x716fbd68, - 0x3b1f8848, 0x7186fdde, - 0x3af2eeb7, 0x719e2cd2, 0x3ac64c0f, 0x71b54a41, 0x3a99a057, 0x71cc5626, - 0x3a6ceb96, 0x71e35080, - 0x3a402dd2, 0x71fa3949, 0x3a136712, 0x7211107e, 0x39e6975e, 0x7227d61c, - 0x39b9bebc, 0x723e8a20, - 0x398cdd32, 0x72552c85, 0x395ff2c9, 0x726bbd48, 0x3932ff87, 0x72823c67, - 0x39060373, 0x7298a9dd, - 0x38d8fe93, 0x72af05a7, 0x38abf0ef, 0x72c54fc1, 0x387eda8e, 0x72db8828, - 0x3851bb77, 0x72f1aed9, - 0x382493b0, 0x7307c3d0, 0x37f76341, 0x731dc70a, 0x37ca2a30, 0x7333b883, - 0x379ce885, 0x73499838, - 0x376f9e46, 0x735f6626, 0x37424b7b, 0x73752249, 0x3714f02a, 0x738acc9e, - 0x36e78c5b, 0x73a06522, - 0x36ba2014, 0x73b5ebd1, 0x368cab5c, 0x73cb60a8, 0x365f2e3b, 0x73e0c3a3, - 0x3631a8b8, 0x73f614c0, - 0x36041ad9, 0x740b53fb, 0x35d684a6, 0x74208150, 0x35a8e625, 0x74359cbd, - 0x357b3f5d, 0x744aa63f, - 0x354d9057, 0x745f9dd1, 0x351fd918, 0x74748371, 0x34f219a8, 0x7489571c, - 0x34c4520d, 0x749e18cd, - 0x34968250, 0x74b2c884, 0x3468aa76, 0x74c7663a, 0x343aca87, 0x74dbf1ef, - 0x340ce28b, 0x74f06b9e, - 0x33def287, 0x7504d345, 0x33b0fa84, 0x751928e0, 0x3382fa88, 0x752d6c6c, - 0x3354f29b, 0x75419de7, - 0x3326e2c3, 0x7555bd4c, 0x32f8cb07, 0x7569ca99, 0x32caab6f, 0x757dc5ca, - 0x329c8402, 0x7591aedd, - 0x326e54c7, 0x75a585cf, 0x32401dc6, 0x75b94a9c, 0x3211df04, 0x75ccfd42, - 0x31e39889, 0x75e09dbd, - 0x31b54a5e, 0x75f42c0b, 0x3186f487, 0x7607a828, 0x3158970e, 0x761b1211, - 0x312a31f8, 0x762e69c4, - 0x30fbc54d, 0x7641af3d, 0x30cd5115, 0x7654e279, 0x309ed556, 0x76680376, - 0x30705217, 0x767b1231, - 0x3041c761, 0x768e0ea6, 0x30133539, 0x76a0f8d2, 0x2fe49ba7, 0x76b3d0b4, - 0x2fb5fab2, 0x76c69647, - 0x2f875262, 0x76d94989, 0x2f58a2be, 0x76ebea77, 0x2f29ebcc, 0x76fe790e, - 0x2efb2d95, 0x7710f54c, - 0x2ecc681e, 0x77235f2d, 0x2e9d9b70, 0x7735b6af, 0x2e6ec792, 0x7747fbce, - 0x2e3fec8b, 0x775a2e89, - 0x2e110a62, 0x776c4edb, 0x2de2211e, 0x777e5cc3, 0x2db330c7, 0x7790583e, - 0x2d843964, 0x77a24148, - 0x2d553afc, 0x77b417df, 0x2d263596, 0x77c5dc01, 0x2cf72939, 0x77d78daa, - 0x2cc815ee, 0x77e92cd9, - 0x2c98fbba, 0x77fab989, 0x2c69daa6, 0x780c33b8, 0x2c3ab2b9, 0x781d9b65, - 0x2c0b83fa, 0x782ef08b, - 0x2bdc4e6f, 0x78403329, 0x2bad1221, 0x7851633b, 0x2b7dcf17, 0x786280bf, - 0x2b4e8558, 0x78738bb3, - 0x2b1f34eb, 0x78848414, 0x2aefddd8, 0x789569df, 0x2ac08026, 0x78a63d11, - 0x2a911bdc, 0x78b6fda8, - 0x2a61b101, 0x78c7aba2, 0x2a323f9e, 0x78d846fb, 0x2a02c7b8, 0x78e8cfb2, - 0x29d34958, 0x78f945c3, - 0x29a3c485, 0x7909a92d, 0x29743946, 0x7919f9ec, 0x2944a7a2, 0x792a37fe, - 0x29150fa1, 0x793a6361, - 0x28e5714b, 0x794a7c12, 0x28b5cca5, 0x795a820e, 0x288621b9, 0x796a7554, - 0x2856708d, 0x797a55e0, - 0x2826b928, 0x798a23b1, 0x27f6fb92, 0x7999dec4, 0x27c737d3, 0x79a98715, - 0x27976df1, 0x79b91ca4, - 0x27679df4, 0x79c89f6e, 0x2737c7e3, 0x79d80f6f, 0x2707ebc7, 0x79e76ca7, - 0x26d809a5, 0x79f6b711, - 0x26a82186, 0x7a05eead, 0x26783370, 0x7a151378, 0x26483f6c, 0x7a24256f, - 0x26184581, 0x7a332490, - 0x25e845b6, 0x7a4210d8, 0x25b84012, 0x7a50ea47, 0x2588349d, 0x7a5fb0d8, - 0x2558235f, 0x7a6e648a, - 0x25280c5e, 0x7a7d055b, 0x24f7efa2, 0x7a8b9348, 0x24c7cd33, 0x7a9a0e50, - 0x2497a517, 0x7aa8766f, - 0x24677758, 0x7ab6cba4, 0x243743fa, 0x7ac50dec, 0x24070b08, 0x7ad33d45, - 0x23d6cc87, 0x7ae159ae, - 0x23a6887f, 0x7aef6323, 0x23763ef7, 0x7afd59a4, 0x2345eff8, 0x7b0b3d2c, - 0x23159b88, 0x7b190dbc, - 0x22e541af, 0x7b26cb4f, 0x22b4e274, 0x7b3475e5, 0x22847de0, 0x7b420d7a, - 0x225413f8, 0x7b4f920e, - 0x2223a4c5, 0x7b5d039e, 0x21f3304f, 0x7b6a6227, 0x21c2b69c, 0x7b77ada8, - 0x219237b5, 0x7b84e61f, - 0x2161b3a0, 0x7b920b89, 0x21312a65, 0x7b9f1de6, 0x21009c0c, 0x7bac1d31, - 0x20d0089c, 0x7bb9096b, - 0x209f701c, 0x7bc5e290, 0x206ed295, 0x7bd2a89e, 0x203e300d, 0x7bdf5b94, - 0x200d888d, 0x7bebfb70, - 0x1fdcdc1b, 0x7bf88830, 0x1fac2abf, 0x7c0501d2, 0x1f7b7481, 0x7c116853, - 0x1f4ab968, 0x7c1dbbb3, - 0x1f19f97b, 0x7c29fbee, 0x1ee934c3, 0x7c362904, 0x1eb86b46, 0x7c4242f2, - 0x1e879d0d, 0x7c4e49b7, - 0x1e56ca1e, 0x7c5a3d50, 0x1e25f282, 0x7c661dbc, 0x1df5163f, 0x7c71eaf9, - 0x1dc4355e, 0x7c7da505, - 0x1d934fe5, 0x7c894bde, 0x1d6265dd, 0x7c94df83, 0x1d31774d, 0x7ca05ff1, - 0x1d00843d, 0x7cabcd28, - 0x1ccf8cb3, 0x7cb72724, 0x1c9e90b8, 0x7cc26de5, 0x1c6d9053, 0x7ccda169, - 0x1c3c8b8c, 0x7cd8c1ae, - 0x1c0b826a, 0x7ce3ceb2, 0x1bda74f6, 0x7ceec873, 0x1ba96335, 0x7cf9aef0, - 0x1b784d30, 0x7d048228, - 0x1b4732ef, 0x7d0f4218, 0x1b161479, 0x7d19eebf, 0x1ae4f1d6, 0x7d24881b, - 0x1ab3cb0d, 0x7d2f0e2b, - 0x1a82a026, 0x7d3980ec, 0x1a517128, 0x7d43e05e, 0x1a203e1b, 0x7d4e2c7f, - 0x19ef0707, 0x7d58654d, - 0x19bdcbf3, 0x7d628ac6, 0x198c8ce7, 0x7d6c9ce9, 0x195b49ea, 0x7d769bb5, - 0x192a0304, 0x7d808728, - 0x18f8b83c, 0x7d8a5f40, 0x18c7699b, 0x7d9423fc, 0x18961728, 0x7d9dd55a, - 0x1864c0ea, 0x7da77359, - 0x183366e9, 0x7db0fdf8, 0x1802092c, 0x7dba7534, 0x17d0a7bc, 0x7dc3d90d, - 0x179f429f, 0x7dcd2981, - 0x176dd9de, 0x7dd6668f, 0x173c6d80, 0x7ddf9034, 0x170afd8d, 0x7de8a670, - 0x16d98a0c, 0x7df1a942, - 0x16a81305, 0x7dfa98a8, 0x1676987f, 0x7e0374a0, 0x16451a83, 0x7e0c3d29, - 0x16139918, 0x7e14f242, - 0x15e21445, 0x7e1d93ea, 0x15b08c12, 0x7e26221f, 0x157f0086, 0x7e2e9cdf, - 0x154d71aa, 0x7e37042a, - 0x151bdf86, 0x7e3f57ff, 0x14ea4a1f, 0x7e47985b, 0x14b8b17f, 0x7e4fc53e, - 0x148715ae, 0x7e57dea7, - 0x145576b1, 0x7e5fe493, 0x1423d492, 0x7e67d703, 0x13f22f58, 0x7e6fb5f4, - 0x13c0870a, 0x7e778166, - 0x138edbb1, 0x7e7f3957, 0x135d2d53, 0x7e86ddc6, 0x132b7bf9, 0x7e8e6eb2, - 0x12f9c7aa, 0x7e95ec1a, - 0x12c8106f, 0x7e9d55fc, 0x1296564d, 0x7ea4ac58, 0x1264994e, 0x7eabef2c, - 0x1232d979, 0x7eb31e78, - 0x120116d5, 0x7eba3a39, 0x11cf516a, 0x7ec14270, 0x119d8941, 0x7ec8371a, - 0x116bbe60, 0x7ecf1837, - 0x1139f0cf, 0x7ed5e5c6, 0x11082096, 0x7edc9fc6, 0x10d64dbd, 0x7ee34636, - 0x10a4784b, 0x7ee9d914, - 0x1072a048, 0x7ef05860, 0x1040c5bb, 0x7ef6c418, 0x100ee8ad, 0x7efd1c3c, - 0xfdd0926, 0x7f0360cb, - 0xfab272b, 0x7f0991c4, 0xf7942c7, 0x7f0faf25, 0xf475bff, 0x7f15b8ee, - 0xf1572dc, 0x7f1baf1e, - 0xee38766, 0x7f2191b4, 0xeb199a4, 0x7f2760af, 0xe7fa99e, 0x7f2d1c0e, - 0xe4db75b, 0x7f32c3d1, - 0xe1bc2e4, 0x7f3857f6, 0xde9cc40, 0x7f3dd87c, 0xdb7d376, 0x7f434563, - 0xd85d88f, 0x7f489eaa, - 0xd53db92, 0x7f4de451, 0xd21dc87, 0x7f531655, 0xcefdb76, 0x7f5834b7, - 0xcbdd865, 0x7f5d3f75, - 0xc8bd35e, 0x7f62368f, 0xc59cc68, 0x7f671a05, 0xc27c389, 0x7f6be9d4, - 0xbf5b8cb, 0x7f70a5fe, - 0xbc3ac35, 0x7f754e80, 0xb919dcf, 0x7f79e35a, 0xb5f8d9f, 0x7f7e648c, - 0xb2d7baf, 0x7f82d214, - 0xafb6805, 0x7f872bf3, 0xac952aa, 0x7f8b7227, 0xa973ba5, 0x7f8fa4b0, - 0xa6522fe, 0x7f93c38c, - 0xa3308bd, 0x7f97cebd, 0xa00ece8, 0x7f9bc640, 0x9cecf89, 0x7f9faa15, - 0x99cb0a7, 0x7fa37a3c, - 0x96a9049, 0x7fa736b4, 0x9386e78, 0x7faadf7c, 0x9064b3a, 0x7fae7495, - 0x8d42699, 0x7fb1f5fc, - 0x8a2009a, 0x7fb563b3, 0x86fd947, 0x7fb8bdb8, 0x83db0a7, 0x7fbc040a, - 0x80b86c2, 0x7fbf36aa, - 0x7d95b9e, 0x7fc25596, 0x7a72f45, 0x7fc560cf, 0x77501be, 0x7fc85854, - 0x742d311, 0x7fcb3c23, - 0x710a345, 0x7fce0c3e, 0x6de7262, 0x7fd0c8a3, 0x6ac406f, 0x7fd37153, - 0x67a0d76, 0x7fd6064c, - 0x647d97c, 0x7fd8878e, 0x615a48b, 0x7fdaf519, 0x5e36ea9, 0x7fdd4eec, - 0x5b137df, 0x7fdf9508, - 0x57f0035, 0x7fe1c76b, 0x54cc7b1, 0x7fe3e616, 0x51a8e5c, 0x7fe5f108, - 0x4e8543e, 0x7fe7e841, - 0x4b6195d, 0x7fe9cbc0, 0x483ddc3, 0x7feb9b85, 0x451a177, 0x7fed5791, - 0x41f6480, 0x7feeffe1, - 0x3ed26e6, 0x7ff09478, 0x3bae8b2, 0x7ff21553, 0x388a9ea, 0x7ff38274, - 0x3566a96, 0x7ff4dbd9, - 0x3242abf, 0x7ff62182, 0x2f1ea6c, 0x7ff75370, 0x2bfa9a4, 0x7ff871a2, - 0x28d6870, 0x7ff97c18, - 0x25b26d7, 0x7ffa72d1, 0x228e4e2, 0x7ffb55ce, 0x1f6a297, 0x7ffc250f, - 0x1c45ffe, 0x7ffce093, - 0x1921d20, 0x7ffd885a, 0x15fda03, 0x7ffe1c65, 0x12d96b1, 0x7ffe9cb2, - 0xfb5330, 0x7fff0943, - 0xc90f88, 0x7fff6216, 0x96cbc1, 0x7fffa72c, 0x6487e3, 0x7fffd886, 0x3243f5, - 0x7ffff621, - 0x0, 0x7fffffff, 0xffcdbc0b, 0x7ffff621, 0xff9b781d, 0x7fffd886, 0xff69343f, - 0x7fffa72c, - 0xff36f078, 0x7fff6216, 0xff04acd0, 0x7fff0943, 0xfed2694f, 0x7ffe9cb2, - 0xfea025fd, 0x7ffe1c65, - 0xfe6de2e0, 0x7ffd885a, 0xfe3ba002, 0x7ffce093, 0xfe095d69, 0x7ffc250f, - 0xfdd71b1e, 0x7ffb55ce, - 0xfda4d929, 0x7ffa72d1, 0xfd729790, 0x7ff97c18, 0xfd40565c, 0x7ff871a2, - 0xfd0e1594, 0x7ff75370, - 0xfcdbd541, 0x7ff62182, 0xfca9956a, 0x7ff4dbd9, 0xfc775616, 0x7ff38274, - 0xfc45174e, 0x7ff21553, - 0xfc12d91a, 0x7ff09478, 0xfbe09b80, 0x7feeffe1, 0xfbae5e89, 0x7fed5791, - 0xfb7c223d, 0x7feb9b85, - 0xfb49e6a3, 0x7fe9cbc0, 0xfb17abc2, 0x7fe7e841, 0xfae571a4, 0x7fe5f108, - 0xfab3384f, 0x7fe3e616, - 0xfa80ffcb, 0x7fe1c76b, 0xfa4ec821, 0x7fdf9508, 0xfa1c9157, 0x7fdd4eec, - 0xf9ea5b75, 0x7fdaf519, - 0xf9b82684, 0x7fd8878e, 0xf985f28a, 0x7fd6064c, 0xf953bf91, 0x7fd37153, - 0xf9218d9e, 0x7fd0c8a3, - 0xf8ef5cbb, 0x7fce0c3e, 0xf8bd2cef, 0x7fcb3c23, 0xf88afe42, 0x7fc85854, - 0xf858d0bb, 0x7fc560cf, - 0xf826a462, 0x7fc25596, 0xf7f4793e, 0x7fbf36aa, 0xf7c24f59, 0x7fbc040a, - 0xf79026b9, 0x7fb8bdb8, - 0xf75dff66, 0x7fb563b3, 0xf72bd967, 0x7fb1f5fc, 0xf6f9b4c6, 0x7fae7495, - 0xf6c79188, 0x7faadf7c, - 0xf6956fb7, 0x7fa736b4, 0xf6634f59, 0x7fa37a3c, 0xf6313077, 0x7f9faa15, - 0xf5ff1318, 0x7f9bc640, - 0xf5ccf743, 0x7f97cebd, 0xf59add02, 0x7f93c38c, 0xf568c45b, 0x7f8fa4b0, - 0xf536ad56, 0x7f8b7227, - 0xf50497fb, 0x7f872bf3, 0xf4d28451, 0x7f82d214, 0xf4a07261, 0x7f7e648c, - 0xf46e6231, 0x7f79e35a, - 0xf43c53cb, 0x7f754e80, 0xf40a4735, 0x7f70a5fe, 0xf3d83c77, 0x7f6be9d4, - 0xf3a63398, 0x7f671a05, - 0xf3742ca2, 0x7f62368f, 0xf342279b, 0x7f5d3f75, 0xf310248a, 0x7f5834b7, - 0xf2de2379, 0x7f531655, - 0xf2ac246e, 0x7f4de451, 0xf27a2771, 0x7f489eaa, 0xf2482c8a, 0x7f434563, - 0xf21633c0, 0x7f3dd87c, - 0xf1e43d1c, 0x7f3857f6, 0xf1b248a5, 0x7f32c3d1, 0xf1805662, 0x7f2d1c0e, - 0xf14e665c, 0x7f2760af, - 0xf11c789a, 0x7f2191b4, 0xf0ea8d24, 0x7f1baf1e, 0xf0b8a401, 0x7f15b8ee, - 0xf086bd39, 0x7f0faf25, - 0xf054d8d5, 0x7f0991c4, 0xf022f6da, 0x7f0360cb, 0xeff11753, 0x7efd1c3c, - 0xefbf3a45, 0x7ef6c418, - 0xef8d5fb8, 0x7ef05860, 0xef5b87b5, 0x7ee9d914, 0xef29b243, 0x7ee34636, - 0xeef7df6a, 0x7edc9fc6, - 0xeec60f31, 0x7ed5e5c6, 0xee9441a0, 0x7ecf1837, 0xee6276bf, 0x7ec8371a, - 0xee30ae96, 0x7ec14270, - 0xedfee92b, 0x7eba3a39, 0xedcd2687, 0x7eb31e78, 0xed9b66b2, 0x7eabef2c, - 0xed69a9b3, 0x7ea4ac58, - 0xed37ef91, 0x7e9d55fc, 0xed063856, 0x7e95ec1a, 0xecd48407, 0x7e8e6eb2, - 0xeca2d2ad, 0x7e86ddc6, - 0xec71244f, 0x7e7f3957, 0xec3f78f6, 0x7e778166, 0xec0dd0a8, 0x7e6fb5f4, - 0xebdc2b6e, 0x7e67d703, - 0xebaa894f, 0x7e5fe493, 0xeb78ea52, 0x7e57dea7, 0xeb474e81, 0x7e4fc53e, - 0xeb15b5e1, 0x7e47985b, - 0xeae4207a, 0x7e3f57ff, 0xeab28e56, 0x7e37042a, 0xea80ff7a, 0x7e2e9cdf, - 0xea4f73ee, 0x7e26221f, - 0xea1debbb, 0x7e1d93ea, 0xe9ec66e8, 0x7e14f242, 0xe9bae57d, 0x7e0c3d29, - 0xe9896781, 0x7e0374a0, - 0xe957ecfb, 0x7dfa98a8, 0xe92675f4, 0x7df1a942, 0xe8f50273, 0x7de8a670, - 0xe8c39280, 0x7ddf9034, - 0xe8922622, 0x7dd6668f, 0xe860bd61, 0x7dcd2981, 0xe82f5844, 0x7dc3d90d, - 0xe7fdf6d4, 0x7dba7534, - 0xe7cc9917, 0x7db0fdf8, 0xe79b3f16, 0x7da77359, 0xe769e8d8, 0x7d9dd55a, - 0xe7389665, 0x7d9423fc, - 0xe70747c4, 0x7d8a5f40, 0xe6d5fcfc, 0x7d808728, 0xe6a4b616, 0x7d769bb5, - 0xe6737319, 0x7d6c9ce9, - 0xe642340d, 0x7d628ac6, 0xe610f8f9, 0x7d58654d, 0xe5dfc1e5, 0x7d4e2c7f, - 0xe5ae8ed8, 0x7d43e05e, - 0xe57d5fda, 0x7d3980ec, 0xe54c34f3, 0x7d2f0e2b, 0xe51b0e2a, 0x7d24881b, - 0xe4e9eb87, 0x7d19eebf, - 0xe4b8cd11, 0x7d0f4218, 0xe487b2d0, 0x7d048228, 0xe4569ccb, 0x7cf9aef0, - 0xe4258b0a, 0x7ceec873, - 0xe3f47d96, 0x7ce3ceb2, 0xe3c37474, 0x7cd8c1ae, 0xe3926fad, 0x7ccda169, - 0xe3616f48, 0x7cc26de5, - 0xe330734d, 0x7cb72724, 0xe2ff7bc3, 0x7cabcd28, 0xe2ce88b3, 0x7ca05ff1, - 0xe29d9a23, 0x7c94df83, - 0xe26cb01b, 0x7c894bde, 0xe23bcaa2, 0x7c7da505, 0xe20ae9c1, 0x7c71eaf9, - 0xe1da0d7e, 0x7c661dbc, - 0xe1a935e2, 0x7c5a3d50, 0xe17862f3, 0x7c4e49b7, 0xe14794ba, 0x7c4242f2, - 0xe116cb3d, 0x7c362904, - 0xe0e60685, 0x7c29fbee, 0xe0b54698, 0x7c1dbbb3, 0xe0848b7f, 0x7c116853, - 0xe053d541, 0x7c0501d2, - 0xe02323e5, 0x7bf88830, 0xdff27773, 0x7bebfb70, 0xdfc1cff3, 0x7bdf5b94, - 0xdf912d6b, 0x7bd2a89e, - 0xdf608fe4, 0x7bc5e290, 0xdf2ff764, 0x7bb9096b, 0xdeff63f4, 0x7bac1d31, - 0xdeced59b, 0x7b9f1de6, - 0xde9e4c60, 0x7b920b89, 0xde6dc84b, 0x7b84e61f, 0xde3d4964, 0x7b77ada8, - 0xde0ccfb1, 0x7b6a6227, - 0xdddc5b3b, 0x7b5d039e, 0xddabec08, 0x7b4f920e, 0xdd7b8220, 0x7b420d7a, - 0xdd4b1d8c, 0x7b3475e5, - 0xdd1abe51, 0x7b26cb4f, 0xdcea6478, 0x7b190dbc, 0xdcba1008, 0x7b0b3d2c, - 0xdc89c109, 0x7afd59a4, - 0xdc597781, 0x7aef6323, 0xdc293379, 0x7ae159ae, 0xdbf8f4f8, 0x7ad33d45, - 0xdbc8bc06, 0x7ac50dec, - 0xdb9888a8, 0x7ab6cba4, 0xdb685ae9, 0x7aa8766f, 0xdb3832cd, 0x7a9a0e50, - 0xdb08105e, 0x7a8b9348, - 0xdad7f3a2, 0x7a7d055b, 0xdaa7dca1, 0x7a6e648a, 0xda77cb63, 0x7a5fb0d8, - 0xda47bfee, 0x7a50ea47, - 0xda17ba4a, 0x7a4210d8, 0xd9e7ba7f, 0x7a332490, 0xd9b7c094, 0x7a24256f, - 0xd987cc90, 0x7a151378, - 0xd957de7a, 0x7a05eead, 0xd927f65b, 0x79f6b711, 0xd8f81439, 0x79e76ca7, - 0xd8c8381d, 0x79d80f6f, - 0xd898620c, 0x79c89f6e, 0xd868920f, 0x79b91ca4, 0xd838c82d, 0x79a98715, - 0xd809046e, 0x7999dec4, - 0xd7d946d8, 0x798a23b1, 0xd7a98f73, 0x797a55e0, 0xd779de47, 0x796a7554, - 0xd74a335b, 0x795a820e, - 0xd71a8eb5, 0x794a7c12, 0xd6eaf05f, 0x793a6361, 0xd6bb585e, 0x792a37fe, - 0xd68bc6ba, 0x7919f9ec, - 0xd65c3b7b, 0x7909a92d, 0xd62cb6a8, 0x78f945c3, 0xd5fd3848, 0x78e8cfb2, - 0xd5cdc062, 0x78d846fb, - 0xd59e4eff, 0x78c7aba2, 0xd56ee424, 0x78b6fda8, 0xd53f7fda, 0x78a63d11, - 0xd5102228, 0x789569df, - 0xd4e0cb15, 0x78848414, 0xd4b17aa8, 0x78738bb3, 0xd48230e9, 0x786280bf, - 0xd452eddf, 0x7851633b, - 0xd423b191, 0x78403329, 0xd3f47c06, 0x782ef08b, 0xd3c54d47, 0x781d9b65, - 0xd396255a, 0x780c33b8, - 0xd3670446, 0x77fab989, 0xd337ea12, 0x77e92cd9, 0xd308d6c7, 0x77d78daa, - 0xd2d9ca6a, 0x77c5dc01, - 0xd2aac504, 0x77b417df, 0xd27bc69c, 0x77a24148, 0xd24ccf39, 0x7790583e, - 0xd21ddee2, 0x777e5cc3, - 0xd1eef59e, 0x776c4edb, 0xd1c01375, 0x775a2e89, 0xd191386e, 0x7747fbce, - 0xd1626490, 0x7735b6af, - 0xd13397e2, 0x77235f2d, 0xd104d26b, 0x7710f54c, 0xd0d61434, 0x76fe790e, - 0xd0a75d42, 0x76ebea77, - 0xd078ad9e, 0x76d94989, 0xd04a054e, 0x76c69647, 0xd01b6459, 0x76b3d0b4, - 0xcfeccac7, 0x76a0f8d2, - 0xcfbe389f, 0x768e0ea6, 0xcf8fade9, 0x767b1231, 0xcf612aaa, 0x76680376, - 0xcf32aeeb, 0x7654e279, - 0xcf043ab3, 0x7641af3d, 0xced5ce08, 0x762e69c4, 0xcea768f2, 0x761b1211, - 0xce790b79, 0x7607a828, - 0xce4ab5a2, 0x75f42c0b, 0xce1c6777, 0x75e09dbd, 0xcdee20fc, 0x75ccfd42, - 0xcdbfe23a, 0x75b94a9c, - 0xcd91ab39, 0x75a585cf, 0xcd637bfe, 0x7591aedd, 0xcd355491, 0x757dc5ca, - 0xcd0734f9, 0x7569ca99, - 0xccd91d3d, 0x7555bd4c, 0xccab0d65, 0x75419de7, 0xcc7d0578, 0x752d6c6c, - 0xcc4f057c, 0x751928e0, - 0xcc210d79, 0x7504d345, 0xcbf31d75, 0x74f06b9e, 0xcbc53579, 0x74dbf1ef, - 0xcb97558a, 0x74c7663a, - 0xcb697db0, 0x74b2c884, 0xcb3badf3, 0x749e18cd, 0xcb0de658, 0x7489571c, - 0xcae026e8, 0x74748371, - 0xcab26fa9, 0x745f9dd1, 0xca84c0a3, 0x744aa63f, 0xca5719db, 0x74359cbd, - 0xca297b5a, 0x74208150, - 0xc9fbe527, 0x740b53fb, 0xc9ce5748, 0x73f614c0, 0xc9a0d1c5, 0x73e0c3a3, - 0xc97354a4, 0x73cb60a8, - 0xc945dfec, 0x73b5ebd1, 0xc91873a5, 0x73a06522, 0xc8eb0fd6, 0x738acc9e, - 0xc8bdb485, 0x73752249, - 0xc89061ba, 0x735f6626, 0xc863177b, 0x73499838, 0xc835d5d0, 0x7333b883, - 0xc8089cbf, 0x731dc70a, - 0xc7db6c50, 0x7307c3d0, 0xc7ae4489, 0x72f1aed9, 0xc7812572, 0x72db8828, - 0xc7540f11, 0x72c54fc1, - 0xc727016d, 0x72af05a7, 0xc6f9fc8d, 0x7298a9dd, 0xc6cd0079, 0x72823c67, - 0xc6a00d37, 0x726bbd48, - 0xc67322ce, 0x72552c85, 0xc6464144, 0x723e8a20, 0xc61968a2, 0x7227d61c, - 0xc5ec98ee, 0x7211107e, - 0xc5bfd22e, 0x71fa3949, 0xc593146a, 0x71e35080, 0xc5665fa9, 0x71cc5626, - 0xc539b3f1, 0x71b54a41, - 0xc50d1149, 0x719e2cd2, 0xc4e077b8, 0x7186fdde, 0xc4b3e746, 0x716fbd68, - 0xc4875ff9, 0x71586b74, - 0xc45ae1d7, 0x71410805, 0xc42e6ce8, 0x7129931f, 0xc4020133, 0x71120cc5, - 0xc3d59ebe, 0x70fa74fc, - 0xc3a94590, 0x70e2cbc6, 0xc37cf5b0, 0x70cb1128, 0xc350af26, 0x70b34525, - 0xc32471f7, 0x709b67c0, - 0xc2f83e2a, 0x708378ff, 0xc2cc13c7, 0x706b78e3, 0xc29ff2d4, 0x70536771, - 0xc273db58, 0x703b44ad, - 0xc247cd5a, 0x7023109a, 0xc21bc8e1, 0x700acb3c, 0xc1efcdf3, 0x6ff27497, - 0xc1c3dc97, 0x6fda0cae, - 0xc197f4d4, 0x6fc19385, 0xc16c16b0, 0x6fa90921, 0xc1404233, 0x6f906d84, - 0xc1147764, 0x6f77c0b3, - 0xc0e8b648, 0x6f5f02b2, 0xc0bcfee7, 0x6f463383, 0xc0915148, 0x6f2d532c, - 0xc065ad70, 0x6f1461b0, - 0xc03a1368, 0x6efb5f12, 0xc00e8336, 0x6ee24b57, 0xbfe2fcdf, 0x6ec92683, - 0xbfb7806c, 0x6eaff099, - 0xbf8c0de3, 0x6e96a99d, 0xbf60a54a, 0x6e7d5193, 0xbf3546a8, 0x6e63e87f, - 0xbf09f205, 0x6e4a6e66, - 0xbedea765, 0x6e30e34a, 0xbeb366d1, 0x6e174730, 0xbe88304f, 0x6dfd9a1c, - 0xbe5d03e6, 0x6de3dc11, - 0xbe31e19b, 0x6dca0d14, 0xbe06c977, 0x6db02d29, 0xbddbbb7f, 0x6d963c54, - 0xbdb0b7bb, 0x6d7c3a98, - 0xbd85be30, 0x6d6227fa, 0xbd5acee5, 0x6d48047e, 0xbd2fe9e2, 0x6d2dd027, - 0xbd050f2c, 0x6d138afb, - 0xbcda3ecb, 0x6cf934fc, 0xbcaf78c4, 0x6cdece2f, 0xbc84bd1f, 0x6cc45698, - 0xbc5a0be2, 0x6ca9ce3b, - 0xbc2f6513, 0x6c8f351c, 0xbc04c8ba, 0x6c748b3f, 0xbbda36dd, 0x6c59d0a9, - 0xbbafaf82, 0x6c3f055d, - 0xbb8532b0, 0x6c242960, 0xbb5ac06d, 0x6c093cb6, 0xbb3058c0, 0x6bee3f62, - 0xbb05fbb0, 0x6bd3316a, - 0xbadba943, 0x6bb812d1, 0xbab16180, 0x6b9ce39b, 0xba87246d, 0x6b81a3cd, - 0xba5cf210, 0x6b66536b, - 0xba32ca71, 0x6b4af279, 0xba08ad95, 0x6b2f80fb, 0xb9de9b83, 0x6b13fef5, - 0xb9b49442, 0x6af86c6c, - 0xb98a97d8, 0x6adcc964, 0xb960a64c, 0x6ac115e2, 0xb936bfa4, 0x6aa551e9, - 0xb90ce3e6, 0x6a897d7d, - 0xb8e31319, 0x6a6d98a4, 0xb8b94d44, 0x6a51a361, 0xb88f926d, 0x6a359db9, - 0xb865e299, 0x6a1987b0, - 0xb83c3dd1, 0x69fd614a, 0xb812a41a, 0x69e12a8c, 0xb7e9157a, 0x69c4e37a, - 0xb7bf91f8, 0x69a88c19, - 0xb796199b, 0x698c246c, 0xb76cac69, 0x696fac78, 0xb7434a67, 0x69532442, - 0xb719f39e, 0x69368bce, - 0xb6f0a812, 0x6919e320, 0xb6c767ca, 0x68fd2a3d, 0xb69e32cd, 0x68e06129, - 0xb6750921, 0x68c387e9, - 0xb64beacd, 0x68a69e81, 0xb622d7d6, 0x6889a4f6, 0xb5f9d043, 0x686c9b4b, - 0xb5d0d41a, 0x684f8186, - 0xb5a7e362, 0x683257ab, 0xb57efe22, 0x68151dbe, 0xb556245e, 0x67f7d3c5, - 0xb52d561e, 0x67da79c3, - 0xb5049368, 0x67bd0fbd, 0xb4dbdc42, 0x679f95b7, 0xb4b330b3, 0x67820bb7, - 0xb48a90c0, 0x676471c0, - 0xb461fc70, 0x6746c7d8, 0xb43973ca, 0x67290e02, 0xb410f6d3, 0x670b4444, - 0xb3e88592, 0x66ed6aa1, - 0xb3c0200c, 0x66cf8120, 0xb397c649, 0x66b187c3, 0xb36f784f, 0x66937e91, - 0xb3473623, 0x6675658c, - 0xb31effcc, 0x66573cbb, 0xb2f6d550, 0x66390422, 0xb2ceb6b5, 0x661abbc5, - 0xb2a6a402, 0x65fc63a9, - 0xb27e9d3c, 0x65ddfbd3, 0xb256a26a, 0x65bf8447, 0xb22eb392, 0x65a0fd0b, - 0xb206d0ba, 0x65826622, - 0xb1def9e9, 0x6563bf92, 0xb1b72f23, 0x6545095f, 0xb18f7071, 0x6526438f, - 0xb167bdd7, 0x65076e25, - 0xb140175b, 0x64e88926, 0xb1187d05, 0x64c99498, 0xb0f0eeda, 0x64aa907f, - 0xb0c96ce0, 0x648b7ce0, - 0xb0a1f71d, 0x646c59bf, 0xb07a8d97, 0x644d2722, 0xb0533055, 0x642de50d, - 0xb02bdf5c, 0x640e9386, - 0xb0049ab3, 0x63ef3290, 0xafdd625f, 0x63cfc231, 0xafb63667, 0x63b0426d, - 0xaf8f16d1, 0x6390b34a, - 0xaf6803a2, 0x637114cc, 0xaf40fce1, 0x635166f9, 0xaf1a0293, 0x6331a9d4, - 0xaef314c0, 0x6311dd64, - 0xaecc336c, 0x62f201ac, 0xaea55e9e, 0x62d216b3, 0xae7e965b, 0x62b21c7b, - 0xae57daab, 0x6292130c, - 0xae312b92, 0x6271fa69, 0xae0a8916, 0x6251d298, 0xade3f33e, 0x62319b9d, - 0xadbd6a10, 0x6211557e, - 0xad96ed92, 0x61f1003f, 0xad707dc8, 0x61d09be5, 0xad4a1aba, 0x61b02876, - 0xad23c46e, 0x618fa5f7, - 0xacfd7ae8, 0x616f146c, 0xacd73e30, 0x614e73da, 0xacb10e4b, 0x612dc447, - 0xac8aeb3e, 0x610d05b7, - 0xac64d510, 0x60ec3830, 0xac3ecbc7, 0x60cb5bb7, 0xac18cf69, 0x60aa7050, - 0xabf2dffb, 0x60897601, - 0xabccfd83, 0x60686ccf, 0xaba72807, 0x604754bf, 0xab815f8d, 0x60262dd6, - 0xab5ba41a, 0x6004f819, - 0xab35f5b5, 0x5fe3b38d, 0xab105464, 0x5fc26038, 0xaaeac02c, 0x5fa0fe1f, - 0xaac53912, 0x5f7f8d46, - 0xaa9fbf1e, 0x5f5e0db3, 0xaa7a5253, 0x5f3c7f6b, 0xaa54f2ba, 0x5f1ae274, - 0xaa2fa056, 0x5ef936d1, - 0xaa0a5b2e, 0x5ed77c8a, 0xa9e52347, 0x5eb5b3a2, 0xa9bff8a8, 0x5e93dc1f, - 0xa99adb56, 0x5e71f606, - 0xa975cb57, 0x5e50015d, 0xa950c8b0, 0x5e2dfe29, 0xa92bd367, 0x5e0bec6e, - 0xa906eb82, 0x5de9cc33, - 0xa8e21106, 0x5dc79d7c, 0xa8bd43fa, 0x5da5604f, 0xa8988463, 0x5d8314b1, - 0xa873d246, 0x5d60baa7, - 0xa84f2daa, 0x5d3e5237, 0xa82a9693, 0x5d1bdb65, 0xa8060d08, 0x5cf95638, - 0xa7e1910f, 0x5cd6c2b5, - 0xa7bd22ac, 0x5cb420e0, 0xa798c1e5, 0x5c9170bf, 0xa7746ec0, 0x5c6eb258, - 0xa7502943, 0x5c4be5b0, - 0xa72bf174, 0x5c290acc, 0xa707c757, 0x5c0621b2, 0xa6e3aaf2, 0x5be32a67, - 0xa6bf9c4b, 0x5bc024f0, - 0xa69b9b68, 0x5b9d1154, 0xa677a84e, 0x5b79ef96, 0xa653c303, 0x5b56bfbd, - 0xa62feb8b, 0x5b3381ce, - 0xa60c21ee, 0x5b1035cf, 0xa5e8662f, 0x5aecdbc5, 0xa5c4b855, 0x5ac973b5, - 0xa5a11866, 0x5aa5fda5, - 0xa57d8666, 0x5a82799a, 0xa55a025b, 0x5a5ee79a, 0xa5368c4b, 0x5a3b47ab, - 0xa513243b, 0x5a1799d1, - 0xa4efca31, 0x59f3de12, 0xa4cc7e32, 0x59d01475, 0xa4a94043, 0x59ac3cfd, - 0xa486106a, 0x598857b2, - 0xa462eeac, 0x59646498, 0xa43fdb10, 0x594063b5, 0xa41cd599, 0x591c550e, - 0xa3f9de4e, 0x58f838a9, - 0xa3d6f534, 0x58d40e8c, 0xa3b41a50, 0x58afd6bd, 0xa3914da8, 0x588b9140, - 0xa36e8f41, 0x58673e1b, - 0xa34bdf20, 0x5842dd54, 0xa3293d4b, 0x581e6ef1, 0xa306a9c8, 0x57f9f2f8, - 0xa2e4249b, 0x57d5696d, - 0xa2c1adc9, 0x57b0d256, 0xa29f4559, 0x578c2dba, 0xa27ceb4f, 0x57677b9d, - 0xa25a9fb1, 0x5742bc06, - 0xa2386284, 0x571deefa, 0xa21633cd, 0x56f9147e, 0xa1f41392, 0x56d42c99, - 0xa1d201d7, 0x56af3750, - 0xa1affea3, 0x568a34a9, 0xa18e09fa, 0x566524aa, 0xa16c23e1, 0x56400758, - 0xa14a4c5e, 0x561adcb9, - 0xa1288376, 0x55f5a4d2, 0xa106c92f, 0x55d05faa, 0xa0e51d8c, 0x55ab0d46, - 0xa0c38095, 0x5585adad, - 0xa0a1f24d, 0x556040e2, 0xa08072ba, 0x553ac6ee, 0xa05f01e1, 0x55153fd4, - 0xa03d9fc8, 0x54efab9c, - 0xa01c4c73, 0x54ca0a4b, 0x9ffb07e7, 0x54a45be6, 0x9fd9d22a, 0x547ea073, - 0x9fb8ab41, 0x5458d7f9, - 0x9f979331, 0x5433027d, 0x9f7689ff, 0x540d2005, 0x9f558fb0, 0x53e73097, - 0x9f34a449, 0x53c13439, - 0x9f13c7d0, 0x539b2af0, 0x9ef2fa49, 0x537514c2, 0x9ed23bb9, 0x534ef1b5, - 0x9eb18c26, 0x5328c1d0, - 0x9e90eb94, 0x53028518, 0x9e705a09, 0x52dc3b92, 0x9e4fd78a, 0x52b5e546, - 0x9e2f641b, 0x528f8238, - 0x9e0effc1, 0x5269126e, 0x9deeaa82, 0x524295f0, 0x9dce6463, 0x521c0cc2, - 0x9dae2d68, 0x51f576ea, - 0x9d8e0597, 0x51ced46e, 0x9d6decf4, 0x51a82555, 0x9d4de385, 0x518169a5, - 0x9d2de94d, 0x515aa162, - 0x9d0dfe54, 0x5133cc94, 0x9cee229c, 0x510ceb40, 0x9cce562c, 0x50e5fd6d, - 0x9cae9907, 0x50bf031f, - 0x9c8eeb34, 0x5097fc5e, 0x9c6f4cb6, 0x5070e92f, 0x9c4fbd93, 0x5049c999, - 0x9c303dcf, 0x50229da1, - 0x9c10cd70, 0x4ffb654d, 0x9bf16c7a, 0x4fd420a4, 0x9bd21af3, 0x4faccfab, - 0x9bb2d8de, 0x4f857269, - 0x9b93a641, 0x4f5e08e3, 0x9b748320, 0x4f369320, 0x9b556f81, 0x4f0f1126, - 0x9b366b68, 0x4ee782fb, - 0x9b1776da, 0x4ebfe8a5, 0x9af891db, 0x4e984229, 0x9ad9bc71, 0x4e708f8f, - 0x9abaf6a1, 0x4e48d0dd, - 0x9a9c406e, 0x4e210617, 0x9a7d99de, 0x4df92f46, 0x9a5f02f5, 0x4dd14c6e, - 0x9a407bb9, 0x4da95d96, - 0x9a22042d, 0x4d8162c4, 0x9a039c57, 0x4d595bfe, 0x99e5443b, 0x4d31494b, - 0x99c6fbde, 0x4d092ab0, - 0x99a8c345, 0x4ce10034, 0x998a9a74, 0x4cb8c9dd, 0x996c816f, 0x4c9087b1, - 0x994e783d, 0x4c6839b7, - 0x99307ee0, 0x4c3fdff4, 0x9912955f, 0x4c177a6e, 0x98f4bbbc, 0x4bef092d, - 0x98d6f1fe, 0x4bc68c36, - 0x98b93828, 0x4b9e0390, 0x989b8e40, 0x4b756f40, 0x987df449, 0x4b4ccf4d, - 0x98606a49, 0x4b2423be, - 0x9842f043, 0x4afb6c98, 0x9825863d, 0x4ad2a9e2, 0x98082c3b, 0x4aa9dba2, - 0x97eae242, 0x4a8101de, - 0x97cda855, 0x4a581c9e, 0x97b07e7a, 0x4a2f2be6, 0x979364b5, 0x4a062fbd, - 0x97765b0a, 0x49dd282a, - 0x9759617f, 0x49b41533, 0x973c7817, 0x498af6df, 0x971f9ed7, 0x4961cd33, - 0x9702d5c3, 0x49389836, - 0x96e61ce0, 0x490f57ee, 0x96c97432, 0x48e60c62, 0x96acdbbe, 0x48bcb599, - 0x96905388, 0x48935397, - 0x9673db94, 0x4869e665, 0x965773e7, 0x48406e08, 0x963b1c86, 0x4816ea86, - 0x961ed574, 0x47ed5be6, - 0x96029eb6, 0x47c3c22f, 0x95e67850, 0x479a1d67, 0x95ca6247, 0x47706d93, - 0x95ae5c9f, 0x4746b2bc, - 0x9592675c, 0x471cece7, 0x95768283, 0x46f31c1a, 0x955aae17, 0x46c9405c, - 0x953eea1e, 0x469f59b4, - 0x9523369c, 0x46756828, 0x95079394, 0x464b6bbe, 0x94ec010b, 0x4621647d, - 0x94d07f05, 0x45f7526b, - 0x94b50d87, 0x45cd358f, 0x9499ac95, 0x45a30df0, 0x947e5c33, 0x4578db93, - 0x94631c65, 0x454e9e80, - 0x9447ed2f, 0x452456bd, 0x942cce96, 0x44fa0450, 0x9411c09e, 0x44cfa740, - 0x93f6c34a, 0x44a53f93, - 0x93dbd6a0, 0x447acd50, 0x93c0faa3, 0x4450507e, 0x93a62f57, 0x4425c923, - 0x938b74c1, 0x43fb3746, - 0x9370cae4, 0x43d09aed, 0x935631c5, 0x43a5f41e, 0x933ba968, 0x437b42e1, - 0x932131d1, 0x4350873c, - 0x9306cb04, 0x4325c135, 0x92ec7505, 0x42faf0d4, 0x92d22fd9, 0x42d0161e, - 0x92b7fb82, 0x42a5311b, - 0x929dd806, 0x427a41d0, 0x9283c568, 0x424f4845, 0x9269c3ac, 0x42244481, - 0x924fd2d7, 0x41f93689, - 0x9235f2ec, 0x41ce1e65, 0x921c23ef, 0x41a2fc1a, 0x920265e4, 0x4177cfb1, - 0x91e8b8d0, 0x414c992f, - 0x91cf1cb6, 0x4121589b, 0x91b5919a, 0x40f60dfb, 0x919c1781, 0x40cab958, - 0x9182ae6d, 0x409f5ab6, - 0x91695663, 0x4073f21d, 0x91500f67, 0x40487f94, 0x9136d97d, 0x401d0321, - 0x911db4a9, 0x3ff17cca, - 0x9104a0ee, 0x3fc5ec98, 0x90eb9e50, 0x3f9a5290, 0x90d2acd4, 0x3f6eaeb8, - 0x90b9cc7d, 0x3f430119, - 0x90a0fd4e, 0x3f1749b8, 0x90883f4d, 0x3eeb889c, 0x906f927c, 0x3ebfbdcd, - 0x9056f6df, 0x3e93e950, - 0x903e6c7b, 0x3e680b2c, 0x9025f352, 0x3e3c2369, 0x900d8b69, 0x3e10320d, - 0x8ff534c4, 0x3de4371f, - 0x8fdcef66, 0x3db832a6, 0x8fc4bb53, 0x3d8c24a8, 0x8fac988f, 0x3d600d2c, - 0x8f94871d, 0x3d33ec39, - 0x8f7c8701, 0x3d07c1d6, 0x8f649840, 0x3cdb8e09, 0x8f4cbadb, 0x3caf50da, - 0x8f34eed8, 0x3c830a50, - 0x8f1d343a, 0x3c56ba70, 0x8f058b04, 0x3c2a6142, 0x8eedf33b, 0x3bfdfecd, - 0x8ed66ce1, 0x3bd19318, - 0x8ebef7fb, 0x3ba51e29, 0x8ea7948c, 0x3b78a007, 0x8e904298, 0x3b4c18ba, - 0x8e790222, 0x3b1f8848, - 0x8e61d32e, 0x3af2eeb7, 0x8e4ab5bf, 0x3ac64c0f, 0x8e33a9da, 0x3a99a057, - 0x8e1caf80, 0x3a6ceb96, - 0x8e05c6b7, 0x3a402dd2, 0x8deeef82, 0x3a136712, 0x8dd829e4, 0x39e6975e, - 0x8dc175e0, 0x39b9bebc, - 0x8daad37b, 0x398cdd32, 0x8d9442b8, 0x395ff2c9, 0x8d7dc399, 0x3932ff87, - 0x8d675623, 0x39060373, - 0x8d50fa59, 0x38d8fe93, 0x8d3ab03f, 0x38abf0ef, 0x8d2477d8, 0x387eda8e, - 0x8d0e5127, 0x3851bb77, - 0x8cf83c30, 0x382493b0, 0x8ce238f6, 0x37f76341, 0x8ccc477d, 0x37ca2a30, - 0x8cb667c8, 0x379ce885, - 0x8ca099da, 0x376f9e46, 0x8c8addb7, 0x37424b7b, 0x8c753362, 0x3714f02a, - 0x8c5f9ade, 0x36e78c5b, - 0x8c4a142f, 0x36ba2014, 0x8c349f58, 0x368cab5c, 0x8c1f3c5d, 0x365f2e3b, - 0x8c09eb40, 0x3631a8b8, - 0x8bf4ac05, 0x36041ad9, 0x8bdf7eb0, 0x35d684a6, 0x8bca6343, 0x35a8e625, - 0x8bb559c1, 0x357b3f5d, - 0x8ba0622f, 0x354d9057, 0x8b8b7c8f, 0x351fd918, 0x8b76a8e4, 0x34f219a8, - 0x8b61e733, 0x34c4520d, - 0x8b4d377c, 0x34968250, 0x8b3899c6, 0x3468aa76, 0x8b240e11, 0x343aca87, - 0x8b0f9462, 0x340ce28b, - 0x8afb2cbb, 0x33def287, 0x8ae6d720, 0x33b0fa84, 0x8ad29394, 0x3382fa88, - 0x8abe6219, 0x3354f29b, - 0x8aaa42b4, 0x3326e2c3, 0x8a963567, 0x32f8cb07, 0x8a823a36, 0x32caab6f, - 0x8a6e5123, 0x329c8402, - 0x8a5a7a31, 0x326e54c7, 0x8a46b564, 0x32401dc6, 0x8a3302be, 0x3211df04, - 0x8a1f6243, 0x31e39889, - 0x8a0bd3f5, 0x31b54a5e, 0x89f857d8, 0x3186f487, 0x89e4edef, 0x3158970e, - 0x89d1963c, 0x312a31f8, - 0x89be50c3, 0x30fbc54d, 0x89ab1d87, 0x30cd5115, 0x8997fc8a, 0x309ed556, - 0x8984edcf, 0x30705217, - 0x8971f15a, 0x3041c761, 0x895f072e, 0x30133539, 0x894c2f4c, 0x2fe49ba7, - 0x893969b9, 0x2fb5fab2, - 0x8926b677, 0x2f875262, 0x89141589, 0x2f58a2be, 0x890186f2, 0x2f29ebcc, - 0x88ef0ab4, 0x2efb2d95, - 0x88dca0d3, 0x2ecc681e, 0x88ca4951, 0x2e9d9b70, 0x88b80432, 0x2e6ec792, - 0x88a5d177, 0x2e3fec8b, - 0x8893b125, 0x2e110a62, 0x8881a33d, 0x2de2211e, 0x886fa7c2, 0x2db330c7, - 0x885dbeb8, 0x2d843964, - 0x884be821, 0x2d553afc, 0x883a23ff, 0x2d263596, 0x88287256, 0x2cf72939, - 0x8816d327, 0x2cc815ee, - 0x88054677, 0x2c98fbba, 0x87f3cc48, 0x2c69daa6, 0x87e2649b, 0x2c3ab2b9, - 0x87d10f75, 0x2c0b83fa, - 0x87bfccd7, 0x2bdc4e6f, 0x87ae9cc5, 0x2bad1221, 0x879d7f41, 0x2b7dcf17, - 0x878c744d, 0x2b4e8558, - 0x877b7bec, 0x2b1f34eb, 0x876a9621, 0x2aefddd8, 0x8759c2ef, 0x2ac08026, - 0x87490258, 0x2a911bdc, - 0x8738545e, 0x2a61b101, 0x8727b905, 0x2a323f9e, 0x8717304e, 0x2a02c7b8, - 0x8706ba3d, 0x29d34958, - 0x86f656d3, 0x29a3c485, 0x86e60614, 0x29743946, 0x86d5c802, 0x2944a7a2, - 0x86c59c9f, 0x29150fa1, - 0x86b583ee, 0x28e5714b, 0x86a57df2, 0x28b5cca5, 0x86958aac, 0x288621b9, - 0x8685aa20, 0x2856708d, - 0x8675dc4f, 0x2826b928, 0x8666213c, 0x27f6fb92, 0x865678eb, 0x27c737d3, - 0x8646e35c, 0x27976df1, - 0x86376092, 0x27679df4, 0x8627f091, 0x2737c7e3, 0x86189359, 0x2707ebc7, - 0x860948ef, 0x26d809a5, - 0x85fa1153, 0x26a82186, 0x85eaec88, 0x26783370, 0x85dbda91, 0x26483f6c, - 0x85ccdb70, 0x26184581, - 0x85bdef28, 0x25e845b6, 0x85af15b9, 0x25b84012, 0x85a04f28, 0x2588349d, - 0x85919b76, 0x2558235f, - 0x8582faa5, 0x25280c5e, 0x85746cb8, 0x24f7efa2, 0x8565f1b0, 0x24c7cd33, - 0x85578991, 0x2497a517, - 0x8549345c, 0x24677758, 0x853af214, 0x243743fa, 0x852cc2bb, 0x24070b08, - 0x851ea652, 0x23d6cc87, - 0x85109cdd, 0x23a6887f, 0x8502a65c, 0x23763ef7, 0x84f4c2d4, 0x2345eff8, - 0x84e6f244, 0x23159b88, - 0x84d934b1, 0x22e541af, 0x84cb8a1b, 0x22b4e274, 0x84bdf286, 0x22847de0, - 0x84b06df2, 0x225413f8, - 0x84a2fc62, 0x2223a4c5, 0x84959dd9, 0x21f3304f, 0x84885258, 0x21c2b69c, - 0x847b19e1, 0x219237b5, - 0x846df477, 0x2161b3a0, 0x8460e21a, 0x21312a65, 0x8453e2cf, 0x21009c0c, - 0x8446f695, 0x20d0089c, - 0x843a1d70, 0x209f701c, 0x842d5762, 0x206ed295, 0x8420a46c, 0x203e300d, - 0x84140490, 0x200d888d, - 0x840777d0, 0x1fdcdc1b, 0x83fafe2e, 0x1fac2abf, 0x83ee97ad, 0x1f7b7481, - 0x83e2444d, 0x1f4ab968, - 0x83d60412, 0x1f19f97b, 0x83c9d6fc, 0x1ee934c3, 0x83bdbd0e, 0x1eb86b46, - 0x83b1b649, 0x1e879d0d, - 0x83a5c2b0, 0x1e56ca1e, 0x8399e244, 0x1e25f282, 0x838e1507, 0x1df5163f, - 0x83825afb, 0x1dc4355e, - 0x8376b422, 0x1d934fe5, 0x836b207d, 0x1d6265dd, 0x835fa00f, 0x1d31774d, - 0x835432d8, 0x1d00843d, - 0x8348d8dc, 0x1ccf8cb3, 0x833d921b, 0x1c9e90b8, 0x83325e97, 0x1c6d9053, - 0x83273e52, 0x1c3c8b8c, - 0x831c314e, 0x1c0b826a, 0x8311378d, 0x1bda74f6, 0x83065110, 0x1ba96335, - 0x82fb7dd8, 0x1b784d30, - 0x82f0bde8, 0x1b4732ef, 0x82e61141, 0x1b161479, 0x82db77e5, 0x1ae4f1d6, - 0x82d0f1d5, 0x1ab3cb0d, - 0x82c67f14, 0x1a82a026, 0x82bc1fa2, 0x1a517128, 0x82b1d381, 0x1a203e1b, - 0x82a79ab3, 0x19ef0707, - 0x829d753a, 0x19bdcbf3, 0x82936317, 0x198c8ce7, 0x8289644b, 0x195b49ea, - 0x827f78d8, 0x192a0304, - 0x8275a0c0, 0x18f8b83c, 0x826bdc04, 0x18c7699b, 0x82622aa6, 0x18961728, - 0x82588ca7, 0x1864c0ea, - 0x824f0208, 0x183366e9, 0x82458acc, 0x1802092c, 0x823c26f3, 0x17d0a7bc, - 0x8232d67f, 0x179f429f, - 0x82299971, 0x176dd9de, 0x82206fcc, 0x173c6d80, 0x82175990, 0x170afd8d, - 0x820e56be, 0x16d98a0c, - 0x82056758, 0x16a81305, 0x81fc8b60, 0x1676987f, 0x81f3c2d7, 0x16451a83, - 0x81eb0dbe, 0x16139918, - 0x81e26c16, 0x15e21445, 0x81d9dde1, 0x15b08c12, 0x81d16321, 0x157f0086, - 0x81c8fbd6, 0x154d71aa, - 0x81c0a801, 0x151bdf86, 0x81b867a5, 0x14ea4a1f, 0x81b03ac2, 0x14b8b17f, - 0x81a82159, 0x148715ae, - 0x81a01b6d, 0x145576b1, 0x819828fd, 0x1423d492, 0x81904a0c, 0x13f22f58, - 0x81887e9a, 0x13c0870a, - 0x8180c6a9, 0x138edbb1, 0x8179223a, 0x135d2d53, 0x8171914e, 0x132b7bf9, - 0x816a13e6, 0x12f9c7aa, - 0x8162aa04, 0x12c8106f, 0x815b53a8, 0x1296564d, 0x815410d4, 0x1264994e, - 0x814ce188, 0x1232d979, - 0x8145c5c7, 0x120116d5, 0x813ebd90, 0x11cf516a, 0x8137c8e6, 0x119d8941, - 0x8130e7c9, 0x116bbe60, - 0x812a1a3a, 0x1139f0cf, 0x8123603a, 0x11082096, 0x811cb9ca, 0x10d64dbd, - 0x811626ec, 0x10a4784b, - 0x810fa7a0, 0x1072a048, 0x81093be8, 0x1040c5bb, 0x8102e3c4, 0x100ee8ad, - 0x80fc9f35, 0xfdd0926, - 0x80f66e3c, 0xfab272b, 0x80f050db, 0xf7942c7, 0x80ea4712, 0xf475bff, - 0x80e450e2, 0xf1572dc, - 0x80de6e4c, 0xee38766, 0x80d89f51, 0xeb199a4, 0x80d2e3f2, 0xe7fa99e, - 0x80cd3c2f, 0xe4db75b, - 0x80c7a80a, 0xe1bc2e4, 0x80c22784, 0xde9cc40, 0x80bcba9d, 0xdb7d376, - 0x80b76156, 0xd85d88f, - 0x80b21baf, 0xd53db92, 0x80ace9ab, 0xd21dc87, 0x80a7cb49, 0xcefdb76, - 0x80a2c08b, 0xcbdd865, - 0x809dc971, 0xc8bd35e, 0x8098e5fb, 0xc59cc68, 0x8094162c, 0xc27c389, - 0x808f5a02, 0xbf5b8cb, - 0x808ab180, 0xbc3ac35, 0x80861ca6, 0xb919dcf, 0x80819b74, 0xb5f8d9f, - 0x807d2dec, 0xb2d7baf, - 0x8078d40d, 0xafb6805, 0x80748dd9, 0xac952aa, 0x80705b50, 0xa973ba5, - 0x806c3c74, 0xa6522fe, - 0x80683143, 0xa3308bd, 0x806439c0, 0xa00ece8, 0x806055eb, 0x9cecf89, - 0x805c85c4, 0x99cb0a7, - 0x8058c94c, 0x96a9049, 0x80552084, 0x9386e78, 0x80518b6b, 0x9064b3a, - 0x804e0a04, 0x8d42699, - 0x804a9c4d, 0x8a2009a, 0x80474248, 0x86fd947, 0x8043fbf6, 0x83db0a7, - 0x8040c956, 0x80b86c2, - 0x803daa6a, 0x7d95b9e, 0x803a9f31, 0x7a72f45, 0x8037a7ac, 0x77501be, - 0x8034c3dd, 0x742d311, - 0x8031f3c2, 0x710a345, 0x802f375d, 0x6de7262, 0x802c8ead, 0x6ac406f, - 0x8029f9b4, 0x67a0d76, - 0x80277872, 0x647d97c, 0x80250ae7, 0x615a48b, 0x8022b114, 0x5e36ea9, - 0x80206af8, 0x5b137df, - 0x801e3895, 0x57f0035, 0x801c19ea, 0x54cc7b1, 0x801a0ef8, 0x51a8e5c, - 0x801817bf, 0x4e8543e, - 0x80163440, 0x4b6195d, 0x8014647b, 0x483ddc3, 0x8012a86f, 0x451a177, - 0x8011001f, 0x41f6480, - 0x800f6b88, 0x3ed26e6, 0x800deaad, 0x3bae8b2, 0x800c7d8c, 0x388a9ea, - 0x800b2427, 0x3566a96, - 0x8009de7e, 0x3242abf, 0x8008ac90, 0x2f1ea6c, 0x80078e5e, 0x2bfa9a4, - 0x800683e8, 0x28d6870, - 0x80058d2f, 0x25b26d7, 0x8004aa32, 0x228e4e2, 0x8003daf1, 0x1f6a297, - 0x80031f6d, 0x1c45ffe, - 0x800277a6, 0x1921d20, 0x8001e39b, 0x15fda03, 0x8001634e, 0x12d96b1, - 0x8000f6bd, 0xfb5330, - 0x80009dea, 0xc90f88, 0x800058d4, 0x96cbc1, 0x8000277a, 0x6487e3, - 0x800009df, 0x3243f5, - 0x80000000, 0x0, 0x800009df, 0xffcdbc0b, 0x8000277a, 0xff9b781d, 0x800058d4, - 0xff69343f, - 0x80009dea, 0xff36f078, 0x8000f6bd, 0xff04acd0, 0x8001634e, 0xfed2694f, - 0x8001e39b, 0xfea025fd, - 0x800277a6, 0xfe6de2e0, 0x80031f6d, 0xfe3ba002, 0x8003daf1, 0xfe095d69, - 0x8004aa32, 0xfdd71b1e, - 0x80058d2f, 0xfda4d929, 0x800683e8, 0xfd729790, 0x80078e5e, 0xfd40565c, - 0x8008ac90, 0xfd0e1594, - 0x8009de7e, 0xfcdbd541, 0x800b2427, 0xfca9956a, 0x800c7d8c, 0xfc775616, - 0x800deaad, 0xfc45174e, - 0x800f6b88, 0xfc12d91a, 0x8011001f, 0xfbe09b80, 0x8012a86f, 0xfbae5e89, - 0x8014647b, 0xfb7c223d, - 0x80163440, 0xfb49e6a3, 0x801817bf, 0xfb17abc2, 0x801a0ef8, 0xfae571a4, - 0x801c19ea, 0xfab3384f, - 0x801e3895, 0xfa80ffcb, 0x80206af8, 0xfa4ec821, 0x8022b114, 0xfa1c9157, - 0x80250ae7, 0xf9ea5b75, - 0x80277872, 0xf9b82684, 0x8029f9b4, 0xf985f28a, 0x802c8ead, 0xf953bf91, - 0x802f375d, 0xf9218d9e, - 0x8031f3c2, 0xf8ef5cbb, 0x8034c3dd, 0xf8bd2cef, 0x8037a7ac, 0xf88afe42, - 0x803a9f31, 0xf858d0bb, - 0x803daa6a, 0xf826a462, 0x8040c956, 0xf7f4793e, 0x8043fbf6, 0xf7c24f59, - 0x80474248, 0xf79026b9, - 0x804a9c4d, 0xf75dff66, 0x804e0a04, 0xf72bd967, 0x80518b6b, 0xf6f9b4c6, - 0x80552084, 0xf6c79188, - 0x8058c94c, 0xf6956fb7, 0x805c85c4, 0xf6634f59, 0x806055eb, 0xf6313077, - 0x806439c0, 0xf5ff1318, - 0x80683143, 0xf5ccf743, 0x806c3c74, 0xf59add02, 0x80705b50, 0xf568c45b, - 0x80748dd9, 0xf536ad56, - 0x8078d40d, 0xf50497fb, 0x807d2dec, 0xf4d28451, 0x80819b74, 0xf4a07261, - 0x80861ca6, 0xf46e6231, - 0x808ab180, 0xf43c53cb, 0x808f5a02, 0xf40a4735, 0x8094162c, 0xf3d83c77, - 0x8098e5fb, 0xf3a63398, - 0x809dc971, 0xf3742ca2, 0x80a2c08b, 0xf342279b, 0x80a7cb49, 0xf310248a, - 0x80ace9ab, 0xf2de2379, - 0x80b21baf, 0xf2ac246e, 0x80b76156, 0xf27a2771, 0x80bcba9d, 0xf2482c8a, - 0x80c22784, 0xf21633c0, - 0x80c7a80a, 0xf1e43d1c, 0x80cd3c2f, 0xf1b248a5, 0x80d2e3f2, 0xf1805662, - 0x80d89f51, 0xf14e665c, - 0x80de6e4c, 0xf11c789a, 0x80e450e2, 0xf0ea8d24, 0x80ea4712, 0xf0b8a401, - 0x80f050db, 0xf086bd39, - 0x80f66e3c, 0xf054d8d5, 0x80fc9f35, 0xf022f6da, 0x8102e3c4, 0xeff11753, - 0x81093be8, 0xefbf3a45, - 0x810fa7a0, 0xef8d5fb8, 0x811626ec, 0xef5b87b5, 0x811cb9ca, 0xef29b243, - 0x8123603a, 0xeef7df6a, - 0x812a1a3a, 0xeec60f31, 0x8130e7c9, 0xee9441a0, 0x8137c8e6, 0xee6276bf, - 0x813ebd90, 0xee30ae96, - 0x8145c5c7, 0xedfee92b, 0x814ce188, 0xedcd2687, 0x815410d4, 0xed9b66b2, - 0x815b53a8, 0xed69a9b3, - 0x8162aa04, 0xed37ef91, 0x816a13e6, 0xed063856, 0x8171914e, 0xecd48407, - 0x8179223a, 0xeca2d2ad, - 0x8180c6a9, 0xec71244f, 0x81887e9a, 0xec3f78f6, 0x81904a0c, 0xec0dd0a8, - 0x819828fd, 0xebdc2b6e, - 0x81a01b6d, 0xebaa894f, 0x81a82159, 0xeb78ea52, 0x81b03ac2, 0xeb474e81, - 0x81b867a5, 0xeb15b5e1, - 0x81c0a801, 0xeae4207a, 0x81c8fbd6, 0xeab28e56, 0x81d16321, 0xea80ff7a, - 0x81d9dde1, 0xea4f73ee, - 0x81e26c16, 0xea1debbb, 0x81eb0dbe, 0xe9ec66e8, 0x81f3c2d7, 0xe9bae57d, - 0x81fc8b60, 0xe9896781, - 0x82056758, 0xe957ecfb, 0x820e56be, 0xe92675f4, 0x82175990, 0xe8f50273, - 0x82206fcc, 0xe8c39280, - 0x82299971, 0xe8922622, 0x8232d67f, 0xe860bd61, 0x823c26f3, 0xe82f5844, - 0x82458acc, 0xe7fdf6d4, - 0x824f0208, 0xe7cc9917, 0x82588ca7, 0xe79b3f16, 0x82622aa6, 0xe769e8d8, - 0x826bdc04, 0xe7389665, - 0x8275a0c0, 0xe70747c4, 0x827f78d8, 0xe6d5fcfc, 0x8289644b, 0xe6a4b616, - 0x82936317, 0xe6737319, - 0x829d753a, 0xe642340d, 0x82a79ab3, 0xe610f8f9, 0x82b1d381, 0xe5dfc1e5, - 0x82bc1fa2, 0xe5ae8ed8, - 0x82c67f14, 0xe57d5fda, 0x82d0f1d5, 0xe54c34f3, 0x82db77e5, 0xe51b0e2a, - 0x82e61141, 0xe4e9eb87, - 0x82f0bde8, 0xe4b8cd11, 0x82fb7dd8, 0xe487b2d0, 0x83065110, 0xe4569ccb, - 0x8311378d, 0xe4258b0a, - 0x831c314e, 0xe3f47d96, 0x83273e52, 0xe3c37474, 0x83325e97, 0xe3926fad, - 0x833d921b, 0xe3616f48, - 0x8348d8dc, 0xe330734d, 0x835432d8, 0xe2ff7bc3, 0x835fa00f, 0xe2ce88b3, - 0x836b207d, 0xe29d9a23, - 0x8376b422, 0xe26cb01b, 0x83825afb, 0xe23bcaa2, 0x838e1507, 0xe20ae9c1, - 0x8399e244, 0xe1da0d7e, - 0x83a5c2b0, 0xe1a935e2, 0x83b1b649, 0xe17862f3, 0x83bdbd0e, 0xe14794ba, - 0x83c9d6fc, 0xe116cb3d, - 0x83d60412, 0xe0e60685, 0x83e2444d, 0xe0b54698, 0x83ee97ad, 0xe0848b7f, - 0x83fafe2e, 0xe053d541, - 0x840777d0, 0xe02323e5, 0x84140490, 0xdff27773, 0x8420a46c, 0xdfc1cff3, - 0x842d5762, 0xdf912d6b, - 0x843a1d70, 0xdf608fe4, 0x8446f695, 0xdf2ff764, 0x8453e2cf, 0xdeff63f4, - 0x8460e21a, 0xdeced59b, - 0x846df477, 0xde9e4c60, 0x847b19e1, 0xde6dc84b, 0x84885258, 0xde3d4964, - 0x84959dd9, 0xde0ccfb1, - 0x84a2fc62, 0xdddc5b3b, 0x84b06df2, 0xddabec08, 0x84bdf286, 0xdd7b8220, - 0x84cb8a1b, 0xdd4b1d8c, - 0x84d934b1, 0xdd1abe51, 0x84e6f244, 0xdcea6478, 0x84f4c2d4, 0xdcba1008, - 0x8502a65c, 0xdc89c109, - 0x85109cdd, 0xdc597781, 0x851ea652, 0xdc293379, 0x852cc2bb, 0xdbf8f4f8, - 0x853af214, 0xdbc8bc06, - 0x8549345c, 0xdb9888a8, 0x85578991, 0xdb685ae9, 0x8565f1b0, 0xdb3832cd, - 0x85746cb8, 0xdb08105e, - 0x8582faa5, 0xdad7f3a2, 0x85919b76, 0xdaa7dca1, 0x85a04f28, 0xda77cb63, - 0x85af15b9, 0xda47bfee, - 0x85bdef28, 0xda17ba4a, 0x85ccdb70, 0xd9e7ba7f, 0x85dbda91, 0xd9b7c094, - 0x85eaec88, 0xd987cc90, - 0x85fa1153, 0xd957de7a, 0x860948ef, 0xd927f65b, 0x86189359, 0xd8f81439, - 0x8627f091, 0xd8c8381d, - 0x86376092, 0xd898620c, 0x8646e35c, 0xd868920f, 0x865678eb, 0xd838c82d, - 0x8666213c, 0xd809046e, - 0x8675dc4f, 0xd7d946d8, 0x8685aa20, 0xd7a98f73, 0x86958aac, 0xd779de47, - 0x86a57df2, 0xd74a335b, - 0x86b583ee, 0xd71a8eb5, 0x86c59c9f, 0xd6eaf05f, 0x86d5c802, 0xd6bb585e, - 0x86e60614, 0xd68bc6ba, - 0x86f656d3, 0xd65c3b7b, 0x8706ba3d, 0xd62cb6a8, 0x8717304e, 0xd5fd3848, - 0x8727b905, 0xd5cdc062, - 0x8738545e, 0xd59e4eff, 0x87490258, 0xd56ee424, 0x8759c2ef, 0xd53f7fda, - 0x876a9621, 0xd5102228, - 0x877b7bec, 0xd4e0cb15, 0x878c744d, 0xd4b17aa8, 0x879d7f41, 0xd48230e9, - 0x87ae9cc5, 0xd452eddf, - 0x87bfccd7, 0xd423b191, 0x87d10f75, 0xd3f47c06, 0x87e2649b, 0xd3c54d47, - 0x87f3cc48, 0xd396255a, - 0x88054677, 0xd3670446, 0x8816d327, 0xd337ea12, 0x88287256, 0xd308d6c7, - 0x883a23ff, 0xd2d9ca6a, - 0x884be821, 0xd2aac504, 0x885dbeb8, 0xd27bc69c, 0x886fa7c2, 0xd24ccf39, - 0x8881a33d, 0xd21ddee2, - 0x8893b125, 0xd1eef59e, 0x88a5d177, 0xd1c01375, 0x88b80432, 0xd191386e, - 0x88ca4951, 0xd1626490, - 0x88dca0d3, 0xd13397e2, 0x88ef0ab4, 0xd104d26b, 0x890186f2, 0xd0d61434, - 0x89141589, 0xd0a75d42, - 0x8926b677, 0xd078ad9e, 0x893969b9, 0xd04a054e, 0x894c2f4c, 0xd01b6459, - 0x895f072e, 0xcfeccac7, - 0x8971f15a, 0xcfbe389f, 0x8984edcf, 0xcf8fade9, 0x8997fc8a, 0xcf612aaa, - 0x89ab1d87, 0xcf32aeeb, - 0x89be50c3, 0xcf043ab3, 0x89d1963c, 0xced5ce08, 0x89e4edef, 0xcea768f2, - 0x89f857d8, 0xce790b79, - 0x8a0bd3f5, 0xce4ab5a2, 0x8a1f6243, 0xce1c6777, 0x8a3302be, 0xcdee20fc, - 0x8a46b564, 0xcdbfe23a, - 0x8a5a7a31, 0xcd91ab39, 0x8a6e5123, 0xcd637bfe, 0x8a823a36, 0xcd355491, - 0x8a963567, 0xcd0734f9, - 0x8aaa42b4, 0xccd91d3d, 0x8abe6219, 0xccab0d65, 0x8ad29394, 0xcc7d0578, - 0x8ae6d720, 0xcc4f057c, - 0x8afb2cbb, 0xcc210d79, 0x8b0f9462, 0xcbf31d75, 0x8b240e11, 0xcbc53579, - 0x8b3899c6, 0xcb97558a, - 0x8b4d377c, 0xcb697db0, 0x8b61e733, 0xcb3badf3, 0x8b76a8e4, 0xcb0de658, - 0x8b8b7c8f, 0xcae026e8, - 0x8ba0622f, 0xcab26fa9, 0x8bb559c1, 0xca84c0a3, 0x8bca6343, 0xca5719db, - 0x8bdf7eb0, 0xca297b5a, - 0x8bf4ac05, 0xc9fbe527, 0x8c09eb40, 0xc9ce5748, 0x8c1f3c5d, 0xc9a0d1c5, - 0x8c349f58, 0xc97354a4, - 0x8c4a142f, 0xc945dfec, 0x8c5f9ade, 0xc91873a5, 0x8c753362, 0xc8eb0fd6, - 0x8c8addb7, 0xc8bdb485, - 0x8ca099da, 0xc89061ba, 0x8cb667c8, 0xc863177b, 0x8ccc477d, 0xc835d5d0, - 0x8ce238f6, 0xc8089cbf, - 0x8cf83c30, 0xc7db6c50, 0x8d0e5127, 0xc7ae4489, 0x8d2477d8, 0xc7812572, - 0x8d3ab03f, 0xc7540f11, - 0x8d50fa59, 0xc727016d, 0x8d675623, 0xc6f9fc8d, 0x8d7dc399, 0xc6cd0079, - 0x8d9442b8, 0xc6a00d37, - 0x8daad37b, 0xc67322ce, 0x8dc175e0, 0xc6464144, 0x8dd829e4, 0xc61968a2, - 0x8deeef82, 0xc5ec98ee, - 0x8e05c6b7, 0xc5bfd22e, 0x8e1caf80, 0xc593146a, 0x8e33a9da, 0xc5665fa9, - 0x8e4ab5bf, 0xc539b3f1, - 0x8e61d32e, 0xc50d1149, 0x8e790222, 0xc4e077b8, 0x8e904298, 0xc4b3e746, - 0x8ea7948c, 0xc4875ff9, - 0x8ebef7fb, 0xc45ae1d7, 0x8ed66ce1, 0xc42e6ce8, 0x8eedf33b, 0xc4020133, - 0x8f058b04, 0xc3d59ebe, - 0x8f1d343a, 0xc3a94590, 0x8f34eed8, 0xc37cf5b0, 0x8f4cbadb, 0xc350af26, - 0x8f649840, 0xc32471f7, - 0x8f7c8701, 0xc2f83e2a, 0x8f94871d, 0xc2cc13c7, 0x8fac988f, 0xc29ff2d4, - 0x8fc4bb53, 0xc273db58, - 0x8fdcef66, 0xc247cd5a, 0x8ff534c4, 0xc21bc8e1, 0x900d8b69, 0xc1efcdf3, - 0x9025f352, 0xc1c3dc97, - 0x903e6c7b, 0xc197f4d4, 0x9056f6df, 0xc16c16b0, 0x906f927c, 0xc1404233, - 0x90883f4d, 0xc1147764, - 0x90a0fd4e, 0xc0e8b648, 0x90b9cc7d, 0xc0bcfee7, 0x90d2acd4, 0xc0915148, - 0x90eb9e50, 0xc065ad70, - 0x9104a0ee, 0xc03a1368, 0x911db4a9, 0xc00e8336, 0x9136d97d, 0xbfe2fcdf, - 0x91500f67, 0xbfb7806c, - 0x91695663, 0xbf8c0de3, 0x9182ae6d, 0xbf60a54a, 0x919c1781, 0xbf3546a8, - 0x91b5919a, 0xbf09f205, - 0x91cf1cb6, 0xbedea765, 0x91e8b8d0, 0xbeb366d1, 0x920265e4, 0xbe88304f, - 0x921c23ef, 0xbe5d03e6, - 0x9235f2ec, 0xbe31e19b, 0x924fd2d7, 0xbe06c977, 0x9269c3ac, 0xbddbbb7f, - 0x9283c568, 0xbdb0b7bb, - 0x929dd806, 0xbd85be30, 0x92b7fb82, 0xbd5acee5, 0x92d22fd9, 0xbd2fe9e2, - 0x92ec7505, 0xbd050f2c, - 0x9306cb04, 0xbcda3ecb, 0x932131d1, 0xbcaf78c4, 0x933ba968, 0xbc84bd1f, - 0x935631c5, 0xbc5a0be2, - 0x9370cae4, 0xbc2f6513, 0x938b74c1, 0xbc04c8ba, 0x93a62f57, 0xbbda36dd, - 0x93c0faa3, 0xbbafaf82, - 0x93dbd6a0, 0xbb8532b0, 0x93f6c34a, 0xbb5ac06d, 0x9411c09e, 0xbb3058c0, - 0x942cce96, 0xbb05fbb0, - 0x9447ed2f, 0xbadba943, 0x94631c65, 0xbab16180, 0x947e5c33, 0xba87246d, - 0x9499ac95, 0xba5cf210, - 0x94b50d87, 0xba32ca71, 0x94d07f05, 0xba08ad95, 0x94ec010b, 0xb9de9b83, - 0x95079394, 0xb9b49442, - 0x9523369c, 0xb98a97d8, 0x953eea1e, 0xb960a64c, 0x955aae17, 0xb936bfa4, - 0x95768283, 0xb90ce3e6, - 0x9592675c, 0xb8e31319, 0x95ae5c9f, 0xb8b94d44, 0x95ca6247, 0xb88f926d, - 0x95e67850, 0xb865e299, - 0x96029eb6, 0xb83c3dd1, 0x961ed574, 0xb812a41a, 0x963b1c86, 0xb7e9157a, - 0x965773e7, 0xb7bf91f8, - 0x9673db94, 0xb796199b, 0x96905388, 0xb76cac69, 0x96acdbbe, 0xb7434a67, - 0x96c97432, 0xb719f39e, - 0x96e61ce0, 0xb6f0a812, 0x9702d5c3, 0xb6c767ca, 0x971f9ed7, 0xb69e32cd, - 0x973c7817, 0xb6750921, - 0x9759617f, 0xb64beacd, 0x97765b0a, 0xb622d7d6, 0x979364b5, 0xb5f9d043, - 0x97b07e7a, 0xb5d0d41a, - 0x97cda855, 0xb5a7e362, 0x97eae242, 0xb57efe22, 0x98082c3b, 0xb556245e, - 0x9825863d, 0xb52d561e, - 0x9842f043, 0xb5049368, 0x98606a49, 0xb4dbdc42, 0x987df449, 0xb4b330b3, - 0x989b8e40, 0xb48a90c0, - 0x98b93828, 0xb461fc70, 0x98d6f1fe, 0xb43973ca, 0x98f4bbbc, 0xb410f6d3, - 0x9912955f, 0xb3e88592, - 0x99307ee0, 0xb3c0200c, 0x994e783d, 0xb397c649, 0x996c816f, 0xb36f784f, - 0x998a9a74, 0xb3473623, - 0x99a8c345, 0xb31effcc, 0x99c6fbde, 0xb2f6d550, 0x99e5443b, 0xb2ceb6b5, - 0x9a039c57, 0xb2a6a402, - 0x9a22042d, 0xb27e9d3c, 0x9a407bb9, 0xb256a26a, 0x9a5f02f5, 0xb22eb392, - 0x9a7d99de, 0xb206d0ba, - 0x9a9c406e, 0xb1def9e9, 0x9abaf6a1, 0xb1b72f23, 0x9ad9bc71, 0xb18f7071, - 0x9af891db, 0xb167bdd7, - 0x9b1776da, 0xb140175b, 0x9b366b68, 0xb1187d05, 0x9b556f81, 0xb0f0eeda, - 0x9b748320, 0xb0c96ce0, - 0x9b93a641, 0xb0a1f71d, 0x9bb2d8de, 0xb07a8d97, 0x9bd21af3, 0xb0533055, - 0x9bf16c7a, 0xb02bdf5c, - 0x9c10cd70, 0xb0049ab3, 0x9c303dcf, 0xafdd625f, 0x9c4fbd93, 0xafb63667, - 0x9c6f4cb6, 0xaf8f16d1, - 0x9c8eeb34, 0xaf6803a2, 0x9cae9907, 0xaf40fce1, 0x9cce562c, 0xaf1a0293, - 0x9cee229c, 0xaef314c0, - 0x9d0dfe54, 0xaecc336c, 0x9d2de94d, 0xaea55e9e, 0x9d4de385, 0xae7e965b, - 0x9d6decf4, 0xae57daab, - 0x9d8e0597, 0xae312b92, 0x9dae2d68, 0xae0a8916, 0x9dce6463, 0xade3f33e, - 0x9deeaa82, 0xadbd6a10, - 0x9e0effc1, 0xad96ed92, 0x9e2f641b, 0xad707dc8, 0x9e4fd78a, 0xad4a1aba, - 0x9e705a09, 0xad23c46e, - 0x9e90eb94, 0xacfd7ae8, 0x9eb18c26, 0xacd73e30, 0x9ed23bb9, 0xacb10e4b, - 0x9ef2fa49, 0xac8aeb3e, - 0x9f13c7d0, 0xac64d510, 0x9f34a449, 0xac3ecbc7, 0x9f558fb0, 0xac18cf69, - 0x9f7689ff, 0xabf2dffb, - 0x9f979331, 0xabccfd83, 0x9fb8ab41, 0xaba72807, 0x9fd9d22a, 0xab815f8d, - 0x9ffb07e7, 0xab5ba41a, - 0xa01c4c73, 0xab35f5b5, 0xa03d9fc8, 0xab105464, 0xa05f01e1, 0xaaeac02c, - 0xa08072ba, 0xaac53912, - 0xa0a1f24d, 0xaa9fbf1e, 0xa0c38095, 0xaa7a5253, 0xa0e51d8c, 0xaa54f2ba, - 0xa106c92f, 0xaa2fa056, - 0xa1288376, 0xaa0a5b2e, 0xa14a4c5e, 0xa9e52347, 0xa16c23e1, 0xa9bff8a8, - 0xa18e09fa, 0xa99adb56, - 0xa1affea3, 0xa975cb57, 0xa1d201d7, 0xa950c8b0, 0xa1f41392, 0xa92bd367, - 0xa21633cd, 0xa906eb82, - 0xa2386284, 0xa8e21106, 0xa25a9fb1, 0xa8bd43fa, 0xa27ceb4f, 0xa8988463, - 0xa29f4559, 0xa873d246, - 0xa2c1adc9, 0xa84f2daa, 0xa2e4249b, 0xa82a9693, 0xa306a9c8, 0xa8060d08, - 0xa3293d4b, 0xa7e1910f, - 0xa34bdf20, 0xa7bd22ac, 0xa36e8f41, 0xa798c1e5, 0xa3914da8, 0xa7746ec0, - 0xa3b41a50, 0xa7502943, - 0xa3d6f534, 0xa72bf174, 0xa3f9de4e, 0xa707c757, 0xa41cd599, 0xa6e3aaf2, - 0xa43fdb10, 0xa6bf9c4b, - 0xa462eeac, 0xa69b9b68, 0xa486106a, 0xa677a84e, 0xa4a94043, 0xa653c303, - 0xa4cc7e32, 0xa62feb8b, - 0xa4efca31, 0xa60c21ee, 0xa513243b, 0xa5e8662f, 0xa5368c4b, 0xa5c4b855, - 0xa55a025b, 0xa5a11866, - 0xa57d8666, 0xa57d8666, 0xa5a11866, 0xa55a025b, 0xa5c4b855, 0xa5368c4b, - 0xa5e8662f, 0xa513243b, - 0xa60c21ee, 0xa4efca31, 0xa62feb8b, 0xa4cc7e32, 0xa653c303, 0xa4a94043, - 0xa677a84e, 0xa486106a, - 0xa69b9b68, 0xa462eeac, 0xa6bf9c4b, 0xa43fdb10, 0xa6e3aaf2, 0xa41cd599, - 0xa707c757, 0xa3f9de4e, - 0xa72bf174, 0xa3d6f534, 0xa7502943, 0xa3b41a50, 0xa7746ec0, 0xa3914da8, - 0xa798c1e5, 0xa36e8f41, - 0xa7bd22ac, 0xa34bdf20, 0xa7e1910f, 0xa3293d4b, 0xa8060d08, 0xa306a9c8, - 0xa82a9693, 0xa2e4249b, - 0xa84f2daa, 0xa2c1adc9, 0xa873d246, 0xa29f4559, 0xa8988463, 0xa27ceb4f, - 0xa8bd43fa, 0xa25a9fb1, - 0xa8e21106, 0xa2386284, 0xa906eb82, 0xa21633cd, 0xa92bd367, 0xa1f41392, - 0xa950c8b0, 0xa1d201d7, - 0xa975cb57, 0xa1affea3, 0xa99adb56, 0xa18e09fa, 0xa9bff8a8, 0xa16c23e1, - 0xa9e52347, 0xa14a4c5e, - 0xaa0a5b2e, 0xa1288376, 0xaa2fa056, 0xa106c92f, 0xaa54f2ba, 0xa0e51d8c, - 0xaa7a5253, 0xa0c38095, - 0xaa9fbf1e, 0xa0a1f24d, 0xaac53912, 0xa08072ba, 0xaaeac02c, 0xa05f01e1, - 0xab105464, 0xa03d9fc8, - 0xab35f5b5, 0xa01c4c73, 0xab5ba41a, 0x9ffb07e7, 0xab815f8d, 0x9fd9d22a, - 0xaba72807, 0x9fb8ab41, - 0xabccfd83, 0x9f979331, 0xabf2dffb, 0x9f7689ff, 0xac18cf69, 0x9f558fb0, - 0xac3ecbc7, 0x9f34a449, - 0xac64d510, 0x9f13c7d0, 0xac8aeb3e, 0x9ef2fa49, 0xacb10e4b, 0x9ed23bb9, - 0xacd73e30, 0x9eb18c26, - 0xacfd7ae8, 0x9e90eb94, 0xad23c46e, 0x9e705a09, 0xad4a1aba, 0x9e4fd78a, - 0xad707dc8, 0x9e2f641b, - 0xad96ed92, 0x9e0effc1, 0xadbd6a10, 0x9deeaa82, 0xade3f33e, 0x9dce6463, - 0xae0a8916, 0x9dae2d68, - 0xae312b92, 0x9d8e0597, 0xae57daab, 0x9d6decf4, 0xae7e965b, 0x9d4de385, - 0xaea55e9e, 0x9d2de94d, - 0xaecc336c, 0x9d0dfe54, 0xaef314c0, 0x9cee229c, 0xaf1a0293, 0x9cce562c, - 0xaf40fce1, 0x9cae9907, - 0xaf6803a2, 0x9c8eeb34, 0xaf8f16d1, 0x9c6f4cb6, 0xafb63667, 0x9c4fbd93, - 0xafdd625f, 0x9c303dcf, - 0xb0049ab3, 0x9c10cd70, 0xb02bdf5c, 0x9bf16c7a, 0xb0533055, 0x9bd21af3, - 0xb07a8d97, 0x9bb2d8de, - 0xb0a1f71d, 0x9b93a641, 0xb0c96ce0, 0x9b748320, 0xb0f0eeda, 0x9b556f81, - 0xb1187d05, 0x9b366b68, - 0xb140175b, 0x9b1776da, 0xb167bdd7, 0x9af891db, 0xb18f7071, 0x9ad9bc71, - 0xb1b72f23, 0x9abaf6a1, - 0xb1def9e9, 0x9a9c406e, 0xb206d0ba, 0x9a7d99de, 0xb22eb392, 0x9a5f02f5, - 0xb256a26a, 0x9a407bb9, - 0xb27e9d3c, 0x9a22042d, 0xb2a6a402, 0x9a039c57, 0xb2ceb6b5, 0x99e5443b, - 0xb2f6d550, 0x99c6fbde, - 0xb31effcc, 0x99a8c345, 0xb3473623, 0x998a9a74, 0xb36f784f, 0x996c816f, - 0xb397c649, 0x994e783d, - 0xb3c0200c, 0x99307ee0, 0xb3e88592, 0x9912955f, 0xb410f6d3, 0x98f4bbbc, - 0xb43973ca, 0x98d6f1fe, - 0xb461fc70, 0x98b93828, 0xb48a90c0, 0x989b8e40, 0xb4b330b3, 0x987df449, - 0xb4dbdc42, 0x98606a49, - 0xb5049368, 0x9842f043, 0xb52d561e, 0x9825863d, 0xb556245e, 0x98082c3b, - 0xb57efe22, 0x97eae242, - 0xb5a7e362, 0x97cda855, 0xb5d0d41a, 0x97b07e7a, 0xb5f9d043, 0x979364b5, - 0xb622d7d6, 0x97765b0a, - 0xb64beacd, 0x9759617f, 0xb6750921, 0x973c7817, 0xb69e32cd, 0x971f9ed7, - 0xb6c767ca, 0x9702d5c3, - 0xb6f0a812, 0x96e61ce0, 0xb719f39e, 0x96c97432, 0xb7434a67, 0x96acdbbe, - 0xb76cac69, 0x96905388, - 0xb796199b, 0x9673db94, 0xb7bf91f8, 0x965773e7, 0xb7e9157a, 0x963b1c86, - 0xb812a41a, 0x961ed574, - 0xb83c3dd1, 0x96029eb6, 0xb865e299, 0x95e67850, 0xb88f926d, 0x95ca6247, - 0xb8b94d44, 0x95ae5c9f, - 0xb8e31319, 0x9592675c, 0xb90ce3e6, 0x95768283, 0xb936bfa4, 0x955aae17, - 0xb960a64c, 0x953eea1e, - 0xb98a97d8, 0x9523369c, 0xb9b49442, 0x95079394, 0xb9de9b83, 0x94ec010b, - 0xba08ad95, 0x94d07f05, - 0xba32ca71, 0x94b50d87, 0xba5cf210, 0x9499ac95, 0xba87246d, 0x947e5c33, - 0xbab16180, 0x94631c65, - 0xbadba943, 0x9447ed2f, 0xbb05fbb0, 0x942cce96, 0xbb3058c0, 0x9411c09e, - 0xbb5ac06d, 0x93f6c34a, - 0xbb8532b0, 0x93dbd6a0, 0xbbafaf82, 0x93c0faa3, 0xbbda36dd, 0x93a62f57, - 0xbc04c8ba, 0x938b74c1, - 0xbc2f6513, 0x9370cae4, 0xbc5a0be2, 0x935631c5, 0xbc84bd1f, 0x933ba968, - 0xbcaf78c4, 0x932131d1, - 0xbcda3ecb, 0x9306cb04, 0xbd050f2c, 0x92ec7505, 0xbd2fe9e2, 0x92d22fd9, - 0xbd5acee5, 0x92b7fb82, - 0xbd85be30, 0x929dd806, 0xbdb0b7bb, 0x9283c568, 0xbddbbb7f, 0x9269c3ac, - 0xbe06c977, 0x924fd2d7, - 0xbe31e19b, 0x9235f2ec, 0xbe5d03e6, 0x921c23ef, 0xbe88304f, 0x920265e4, - 0xbeb366d1, 0x91e8b8d0, - 0xbedea765, 0x91cf1cb6, 0xbf09f205, 0x91b5919a, 0xbf3546a8, 0x919c1781, - 0xbf60a54a, 0x9182ae6d, - 0xbf8c0de3, 0x91695663, 0xbfb7806c, 0x91500f67, 0xbfe2fcdf, 0x9136d97d, - 0xc00e8336, 0x911db4a9, - 0xc03a1368, 0x9104a0ee, 0xc065ad70, 0x90eb9e50, 0xc0915148, 0x90d2acd4, - 0xc0bcfee7, 0x90b9cc7d, - 0xc0e8b648, 0x90a0fd4e, 0xc1147764, 0x90883f4d, 0xc1404233, 0x906f927c, - 0xc16c16b0, 0x9056f6df, - 0xc197f4d4, 0x903e6c7b, 0xc1c3dc97, 0x9025f352, 0xc1efcdf3, 0x900d8b69, - 0xc21bc8e1, 0x8ff534c4, - 0xc247cd5a, 0x8fdcef66, 0xc273db58, 0x8fc4bb53, 0xc29ff2d4, 0x8fac988f, - 0xc2cc13c7, 0x8f94871d, - 0xc2f83e2a, 0x8f7c8701, 0xc32471f7, 0x8f649840, 0xc350af26, 0x8f4cbadb, - 0xc37cf5b0, 0x8f34eed8, - 0xc3a94590, 0x8f1d343a, 0xc3d59ebe, 0x8f058b04, 0xc4020133, 0x8eedf33b, - 0xc42e6ce8, 0x8ed66ce1, - 0xc45ae1d7, 0x8ebef7fb, 0xc4875ff9, 0x8ea7948c, 0xc4b3e746, 0x8e904298, - 0xc4e077b8, 0x8e790222, - 0xc50d1149, 0x8e61d32e, 0xc539b3f1, 0x8e4ab5bf, 0xc5665fa9, 0x8e33a9da, - 0xc593146a, 0x8e1caf80, - 0xc5bfd22e, 0x8e05c6b7, 0xc5ec98ee, 0x8deeef82, 0xc61968a2, 0x8dd829e4, - 0xc6464144, 0x8dc175e0, - 0xc67322ce, 0x8daad37b, 0xc6a00d37, 0x8d9442b8, 0xc6cd0079, 0x8d7dc399, - 0xc6f9fc8d, 0x8d675623, - 0xc727016d, 0x8d50fa59, 0xc7540f11, 0x8d3ab03f, 0xc7812572, 0x8d2477d8, - 0xc7ae4489, 0x8d0e5127, - 0xc7db6c50, 0x8cf83c30, 0xc8089cbf, 0x8ce238f6, 0xc835d5d0, 0x8ccc477d, - 0xc863177b, 0x8cb667c8, - 0xc89061ba, 0x8ca099da, 0xc8bdb485, 0x8c8addb7, 0xc8eb0fd6, 0x8c753362, - 0xc91873a5, 0x8c5f9ade, - 0xc945dfec, 0x8c4a142f, 0xc97354a4, 0x8c349f58, 0xc9a0d1c5, 0x8c1f3c5d, - 0xc9ce5748, 0x8c09eb40, - 0xc9fbe527, 0x8bf4ac05, 0xca297b5a, 0x8bdf7eb0, 0xca5719db, 0x8bca6343, - 0xca84c0a3, 0x8bb559c1, - 0xcab26fa9, 0x8ba0622f, 0xcae026e8, 0x8b8b7c8f, 0xcb0de658, 0x8b76a8e4, - 0xcb3badf3, 0x8b61e733, - 0xcb697db0, 0x8b4d377c, 0xcb97558a, 0x8b3899c6, 0xcbc53579, 0x8b240e11, - 0xcbf31d75, 0x8b0f9462, - 0xcc210d79, 0x8afb2cbb, 0xcc4f057c, 0x8ae6d720, 0xcc7d0578, 0x8ad29394, - 0xccab0d65, 0x8abe6219, - 0xccd91d3d, 0x8aaa42b4, 0xcd0734f9, 0x8a963567, 0xcd355491, 0x8a823a36, - 0xcd637bfe, 0x8a6e5123, - 0xcd91ab39, 0x8a5a7a31, 0xcdbfe23a, 0x8a46b564, 0xcdee20fc, 0x8a3302be, - 0xce1c6777, 0x8a1f6243, - 0xce4ab5a2, 0x8a0bd3f5, 0xce790b79, 0x89f857d8, 0xcea768f2, 0x89e4edef, - 0xced5ce08, 0x89d1963c, - 0xcf043ab3, 0x89be50c3, 0xcf32aeeb, 0x89ab1d87, 0xcf612aaa, 0x8997fc8a, - 0xcf8fade9, 0x8984edcf, - 0xcfbe389f, 0x8971f15a, 0xcfeccac7, 0x895f072e, 0xd01b6459, 0x894c2f4c, - 0xd04a054e, 0x893969b9, - 0xd078ad9e, 0x8926b677, 0xd0a75d42, 0x89141589, 0xd0d61434, 0x890186f2, - 0xd104d26b, 0x88ef0ab4, - 0xd13397e2, 0x88dca0d3, 0xd1626490, 0x88ca4951, 0xd191386e, 0x88b80432, - 0xd1c01375, 0x88a5d177, - 0xd1eef59e, 0x8893b125, 0xd21ddee2, 0x8881a33d, 0xd24ccf39, 0x886fa7c2, - 0xd27bc69c, 0x885dbeb8, - 0xd2aac504, 0x884be821, 0xd2d9ca6a, 0x883a23ff, 0xd308d6c7, 0x88287256, - 0xd337ea12, 0x8816d327, - 0xd3670446, 0x88054677, 0xd396255a, 0x87f3cc48, 0xd3c54d47, 0x87e2649b, - 0xd3f47c06, 0x87d10f75, - 0xd423b191, 0x87bfccd7, 0xd452eddf, 0x87ae9cc5, 0xd48230e9, 0x879d7f41, - 0xd4b17aa8, 0x878c744d, - 0xd4e0cb15, 0x877b7bec, 0xd5102228, 0x876a9621, 0xd53f7fda, 0x8759c2ef, - 0xd56ee424, 0x87490258, - 0xd59e4eff, 0x8738545e, 0xd5cdc062, 0x8727b905, 0xd5fd3848, 0x8717304e, - 0xd62cb6a8, 0x8706ba3d, - 0xd65c3b7b, 0x86f656d3, 0xd68bc6ba, 0x86e60614, 0xd6bb585e, 0x86d5c802, - 0xd6eaf05f, 0x86c59c9f, - 0xd71a8eb5, 0x86b583ee, 0xd74a335b, 0x86a57df2, 0xd779de47, 0x86958aac, - 0xd7a98f73, 0x8685aa20, - 0xd7d946d8, 0x8675dc4f, 0xd809046e, 0x8666213c, 0xd838c82d, 0x865678eb, - 0xd868920f, 0x8646e35c, - 0xd898620c, 0x86376092, 0xd8c8381d, 0x8627f091, 0xd8f81439, 0x86189359, - 0xd927f65b, 0x860948ef, - 0xd957de7a, 0x85fa1153, 0xd987cc90, 0x85eaec88, 0xd9b7c094, 0x85dbda91, - 0xd9e7ba7f, 0x85ccdb70, - 0xda17ba4a, 0x85bdef28, 0xda47bfee, 0x85af15b9, 0xda77cb63, 0x85a04f28, - 0xdaa7dca1, 0x85919b76, - 0xdad7f3a2, 0x8582faa5, 0xdb08105e, 0x85746cb8, 0xdb3832cd, 0x8565f1b0, - 0xdb685ae9, 0x85578991, - 0xdb9888a8, 0x8549345c, 0xdbc8bc06, 0x853af214, 0xdbf8f4f8, 0x852cc2bb, - 0xdc293379, 0x851ea652, - 0xdc597781, 0x85109cdd, 0xdc89c109, 0x8502a65c, 0xdcba1008, 0x84f4c2d4, - 0xdcea6478, 0x84e6f244, - 0xdd1abe51, 0x84d934b1, 0xdd4b1d8c, 0x84cb8a1b, 0xdd7b8220, 0x84bdf286, - 0xddabec08, 0x84b06df2, - 0xdddc5b3b, 0x84a2fc62, 0xde0ccfb1, 0x84959dd9, 0xde3d4964, 0x84885258, - 0xde6dc84b, 0x847b19e1, - 0xde9e4c60, 0x846df477, 0xdeced59b, 0x8460e21a, 0xdeff63f4, 0x8453e2cf, - 0xdf2ff764, 0x8446f695, - 0xdf608fe4, 0x843a1d70, 0xdf912d6b, 0x842d5762, 0xdfc1cff3, 0x8420a46c, - 0xdff27773, 0x84140490, - 0xe02323e5, 0x840777d0, 0xe053d541, 0x83fafe2e, 0xe0848b7f, 0x83ee97ad, - 0xe0b54698, 0x83e2444d, - 0xe0e60685, 0x83d60412, 0xe116cb3d, 0x83c9d6fc, 0xe14794ba, 0x83bdbd0e, - 0xe17862f3, 0x83b1b649, - 0xe1a935e2, 0x83a5c2b0, 0xe1da0d7e, 0x8399e244, 0xe20ae9c1, 0x838e1507, - 0xe23bcaa2, 0x83825afb, - 0xe26cb01b, 0x8376b422, 0xe29d9a23, 0x836b207d, 0xe2ce88b3, 0x835fa00f, - 0xe2ff7bc3, 0x835432d8, - 0xe330734d, 0x8348d8dc, 0xe3616f48, 0x833d921b, 0xe3926fad, 0x83325e97, - 0xe3c37474, 0x83273e52, - 0xe3f47d96, 0x831c314e, 0xe4258b0a, 0x8311378d, 0xe4569ccb, 0x83065110, - 0xe487b2d0, 0x82fb7dd8, - 0xe4b8cd11, 0x82f0bde8, 0xe4e9eb87, 0x82e61141, 0xe51b0e2a, 0x82db77e5, - 0xe54c34f3, 0x82d0f1d5, - 0xe57d5fda, 0x82c67f14, 0xe5ae8ed8, 0x82bc1fa2, 0xe5dfc1e5, 0x82b1d381, - 0xe610f8f9, 0x82a79ab3, - 0xe642340d, 0x829d753a, 0xe6737319, 0x82936317, 0xe6a4b616, 0x8289644b, - 0xe6d5fcfc, 0x827f78d8, - 0xe70747c4, 0x8275a0c0, 0xe7389665, 0x826bdc04, 0xe769e8d8, 0x82622aa6, - 0xe79b3f16, 0x82588ca7, - 0xe7cc9917, 0x824f0208, 0xe7fdf6d4, 0x82458acc, 0xe82f5844, 0x823c26f3, - 0xe860bd61, 0x8232d67f, - 0xe8922622, 0x82299971, 0xe8c39280, 0x82206fcc, 0xe8f50273, 0x82175990, - 0xe92675f4, 0x820e56be, - 0xe957ecfb, 0x82056758, 0xe9896781, 0x81fc8b60, 0xe9bae57d, 0x81f3c2d7, - 0xe9ec66e8, 0x81eb0dbe, - 0xea1debbb, 0x81e26c16, 0xea4f73ee, 0x81d9dde1, 0xea80ff7a, 0x81d16321, - 0xeab28e56, 0x81c8fbd6, - 0xeae4207a, 0x81c0a801, 0xeb15b5e1, 0x81b867a5, 0xeb474e81, 0x81b03ac2, - 0xeb78ea52, 0x81a82159, - 0xebaa894f, 0x81a01b6d, 0xebdc2b6e, 0x819828fd, 0xec0dd0a8, 0x81904a0c, - 0xec3f78f6, 0x81887e9a, - 0xec71244f, 0x8180c6a9, 0xeca2d2ad, 0x8179223a, 0xecd48407, 0x8171914e, - 0xed063856, 0x816a13e6, - 0xed37ef91, 0x8162aa04, 0xed69a9b3, 0x815b53a8, 0xed9b66b2, 0x815410d4, - 0xedcd2687, 0x814ce188, - 0xedfee92b, 0x8145c5c7, 0xee30ae96, 0x813ebd90, 0xee6276bf, 0x8137c8e6, - 0xee9441a0, 0x8130e7c9, - 0xeec60f31, 0x812a1a3a, 0xeef7df6a, 0x8123603a, 0xef29b243, 0x811cb9ca, - 0xef5b87b5, 0x811626ec, - 0xef8d5fb8, 0x810fa7a0, 0xefbf3a45, 0x81093be8, 0xeff11753, 0x8102e3c4, - 0xf022f6da, 0x80fc9f35, - 0xf054d8d5, 0x80f66e3c, 0xf086bd39, 0x80f050db, 0xf0b8a401, 0x80ea4712, - 0xf0ea8d24, 0x80e450e2, - 0xf11c789a, 0x80de6e4c, 0xf14e665c, 0x80d89f51, 0xf1805662, 0x80d2e3f2, - 0xf1b248a5, 0x80cd3c2f, - 0xf1e43d1c, 0x80c7a80a, 0xf21633c0, 0x80c22784, 0xf2482c8a, 0x80bcba9d, - 0xf27a2771, 0x80b76156, - 0xf2ac246e, 0x80b21baf, 0xf2de2379, 0x80ace9ab, 0xf310248a, 0x80a7cb49, - 0xf342279b, 0x80a2c08b, - 0xf3742ca2, 0x809dc971, 0xf3a63398, 0x8098e5fb, 0xf3d83c77, 0x8094162c, - 0xf40a4735, 0x808f5a02, - 0xf43c53cb, 0x808ab180, 0xf46e6231, 0x80861ca6, 0xf4a07261, 0x80819b74, - 0xf4d28451, 0x807d2dec, - 0xf50497fb, 0x8078d40d, 0xf536ad56, 0x80748dd9, 0xf568c45b, 0x80705b50, - 0xf59add02, 0x806c3c74, - 0xf5ccf743, 0x80683143, 0xf5ff1318, 0x806439c0, 0xf6313077, 0x806055eb, - 0xf6634f59, 0x805c85c4, - 0xf6956fb7, 0x8058c94c, 0xf6c79188, 0x80552084, 0xf6f9b4c6, 0x80518b6b, - 0xf72bd967, 0x804e0a04, - 0xf75dff66, 0x804a9c4d, 0xf79026b9, 0x80474248, 0xf7c24f59, 0x8043fbf6, - 0xf7f4793e, 0x8040c956, - 0xf826a462, 0x803daa6a, 0xf858d0bb, 0x803a9f31, 0xf88afe42, 0x8037a7ac, - 0xf8bd2cef, 0x8034c3dd, - 0xf8ef5cbb, 0x8031f3c2, 0xf9218d9e, 0x802f375d, 0xf953bf91, 0x802c8ead, - 0xf985f28a, 0x8029f9b4, - 0xf9b82684, 0x80277872, 0xf9ea5b75, 0x80250ae7, 0xfa1c9157, 0x8022b114, - 0xfa4ec821, 0x80206af8, - 0xfa80ffcb, 0x801e3895, 0xfab3384f, 0x801c19ea, 0xfae571a4, 0x801a0ef8, - 0xfb17abc2, 0x801817bf, - 0xfb49e6a3, 0x80163440, 0xfb7c223d, 0x8014647b, 0xfbae5e89, 0x8012a86f, - 0xfbe09b80, 0x8011001f, - 0xfc12d91a, 0x800f6b88, 0xfc45174e, 0x800deaad, 0xfc775616, 0x800c7d8c, - 0xfca9956a, 0x800b2427, - 0xfcdbd541, 0x8009de7e, 0xfd0e1594, 0x8008ac90, 0xfd40565c, 0x80078e5e, - 0xfd729790, 0x800683e8, - 0xfda4d929, 0x80058d2f, 0xfdd71b1e, 0x8004aa32, 0xfe095d69, 0x8003daf1, - 0xfe3ba002, 0x80031f6d, - 0xfe6de2e0, 0x800277a6, 0xfea025fd, 0x8001e39b, 0xfed2694f, 0x8001634e, - 0xff04acd0, 0x8000f6bd, - 0xff36f078, 0x80009dea, 0xff69343f, 0x800058d4, 0xff9b781d, 0x8000277a, - 0xffcdbc0b, 0x800009df, - -}; - - -/* -* @brief Q15 Twiddle factors Table -*/ - -/** -* \par -* Example code for Q15 Twiddle factors Generation:: -* \par -* <pre>for(i = 0; i< 3N/4; i++) -* { -* twiddleCoefQ15[2*i]= cos(i * 2*PI/(float)N); -* twiddleCoefQ15[2*i+1]= sin(i * 2*PI/(float)N); -* } </pre> -* \par -* where N = 4096 and PI = 3.14159265358979 -* \par -* Cos and Sin values are interleaved fashion -* \par -* Convert Floating point to Q15(Fixed point 1.15): -* round(twiddleCoefQ15(i) * pow(2, 15)) -* -*/ - -const q15_t ALIGN4 twiddleCoefQ15[6144] = { - - 0x7fff, 0x0, 0x7fff, 0x32, 0x7fff, 0x65, 0x7fff, 0x97, - 0x7fff, 0xc9, 0x7fff, 0xfb, 0x7fff, 0x12e, 0x7ffe, 0x160, - 0x7ffe, 0x192, 0x7ffd, 0x1c4, 0x7ffc, 0x1f7, 0x7ffb, 0x229, - 0x7ffa, 0x25b, 0x7ff9, 0x28d, 0x7ff8, 0x2c0, 0x7ff7, 0x2f2, - 0x7ff6, 0x324, 0x7ff5, 0x356, 0x7ff4, 0x389, 0x7ff2, 0x3bb, - 0x7ff1, 0x3ed, 0x7fef, 0x41f, 0x7fed, 0x452, 0x7fec, 0x484, - 0x7fea, 0x4b6, 0x7fe8, 0x4e8, 0x7fe6, 0x51b, 0x7fe4, 0x54d, - 0x7fe2, 0x57f, 0x7fe0, 0x5b1, 0x7fdd, 0x5e3, 0x7fdb, 0x616, - 0x7fd9, 0x648, 0x7fd6, 0x67a, 0x7fd3, 0x6ac, 0x7fd1, 0x6de, - 0x7fce, 0x711, 0x7fcb, 0x743, 0x7fc8, 0x775, 0x7fc5, 0x7a7, - 0x7fc2, 0x7d9, 0x7fbf, 0x80c, 0x7fbc, 0x83e, 0x7fb9, 0x870, - 0x7fb5, 0x8a2, 0x7fb2, 0x8d4, 0x7fae, 0x906, 0x7fab, 0x938, - 0x7fa7, 0x96b, 0x7fa3, 0x99d, 0x7fa0, 0x9cf, 0x7f9c, 0xa01, - 0x7f98, 0xa33, 0x7f94, 0xa65, 0x7f90, 0xa97, 0x7f8b, 0xac9, - 0x7f87, 0xafb, 0x7f83, 0xb2d, 0x7f7e, 0xb60, 0x7f7a, 0xb92, - 0x7f75, 0xbc4, 0x7f71, 0xbf6, 0x7f6c, 0xc28, 0x7f67, 0xc5a, - 0x7f62, 0xc8c, 0x7f5d, 0xcbe, 0x7f58, 0xcf0, 0x7f53, 0xd22, - 0x7f4e, 0xd54, 0x7f49, 0xd86, 0x7f43, 0xdb8, 0x7f3e, 0xdea, - 0x7f38, 0xe1c, 0x7f33, 0xe4e, 0x7f2d, 0xe80, 0x7f27, 0xeb2, - 0x7f22, 0xee4, 0x7f1c, 0xf15, 0x7f16, 0xf47, 0x7f10, 0xf79, - 0x7f0a, 0xfab, 0x7f03, 0xfdd, 0x7efd, 0x100f, 0x7ef7, 0x1041, - 0x7ef0, 0x1073, 0x7eea, 0x10a4, 0x7ee3, 0x10d6, 0x7edd, 0x1108, - 0x7ed6, 0x113a, 0x7ecf, 0x116c, 0x7ec8, 0x119e, 0x7ec1, 0x11cf, - 0x7eba, 0x1201, 0x7eb3, 0x1233, 0x7eac, 0x1265, 0x7ea5, 0x1296, - 0x7e9d, 0x12c8, 0x7e96, 0x12fa, 0x7e8e, 0x132b, 0x7e87, 0x135d, - 0x7e7f, 0x138f, 0x7e78, 0x13c1, 0x7e70, 0x13f2, 0x7e68, 0x1424, - 0x7e60, 0x1455, 0x7e58, 0x1487, 0x7e50, 0x14b9, 0x7e48, 0x14ea, - 0x7e3f, 0x151c, 0x7e37, 0x154d, 0x7e2f, 0x157f, 0x7e26, 0x15b1, - 0x7e1e, 0x15e2, 0x7e15, 0x1614, 0x7e0c, 0x1645, 0x7e03, 0x1677, - 0x7dfb, 0x16a8, 0x7df2, 0x16da, 0x7de9, 0x170b, 0x7de0, 0x173c, - 0x7dd6, 0x176e, 0x7dcd, 0x179f, 0x7dc4, 0x17d1, 0x7dba, 0x1802, - 0x7db1, 0x1833, 0x7da7, 0x1865, 0x7d9e, 0x1896, 0x7d94, 0x18c7, - 0x7d8a, 0x18f9, 0x7d81, 0x192a, 0x7d77, 0x195b, 0x7d6d, 0x198d, - 0x7d63, 0x19be, 0x7d58, 0x19ef, 0x7d4e, 0x1a20, 0x7d44, 0x1a51, - 0x7d3a, 0x1a83, 0x7d2f, 0x1ab4, 0x7d25, 0x1ae5, 0x7d1a, 0x1b16, - 0x7d0f, 0x1b47, 0x7d05, 0x1b78, 0x7cfa, 0x1ba9, 0x7cef, 0x1bda, - 0x7ce4, 0x1c0c, 0x7cd9, 0x1c3d, 0x7cce, 0x1c6e, 0x7cc2, 0x1c9f, - 0x7cb7, 0x1cd0, 0x7cac, 0x1d01, 0x7ca0, 0x1d31, 0x7c95, 0x1d62, - 0x7c89, 0x1d93, 0x7c7e, 0x1dc4, 0x7c72, 0x1df5, 0x7c66, 0x1e26, - 0x7c5a, 0x1e57, 0x7c4e, 0x1e88, 0x7c42, 0x1eb8, 0x7c36, 0x1ee9, - 0x7c2a, 0x1f1a, 0x7c1e, 0x1f4b, 0x7c11, 0x1f7b, 0x7c05, 0x1fac, - 0x7bf9, 0x1fdd, 0x7bec, 0x200e, 0x7bdf, 0x203e, 0x7bd3, 0x206f, - 0x7bc6, 0x209f, 0x7bb9, 0x20d0, 0x7bac, 0x2101, 0x7b9f, 0x2131, - 0x7b92, 0x2162, 0x7b85, 0x2192, 0x7b78, 0x21c3, 0x7b6a, 0x21f3, - 0x7b5d, 0x2224, 0x7b50, 0x2254, 0x7b42, 0x2284, 0x7b34, 0x22b5, - 0x7b27, 0x22e5, 0x7b19, 0x2316, 0x7b0b, 0x2346, 0x7afd, 0x2376, - 0x7aef, 0x23a7, 0x7ae1, 0x23d7, 0x7ad3, 0x2407, 0x7ac5, 0x2437, - 0x7ab7, 0x2467, 0x7aa8, 0x2498, 0x7a9a, 0x24c8, 0x7a8c, 0x24f8, - 0x7a7d, 0x2528, 0x7a6e, 0x2558, 0x7a60, 0x2588, 0x7a51, 0x25b8, - 0x7a42, 0x25e8, 0x7a33, 0x2618, 0x7a24, 0x2648, 0x7a15, 0x2678, - 0x7a06, 0x26a8, 0x79f7, 0x26d8, 0x79e7, 0x2708, 0x79d8, 0x2738, - 0x79c9, 0x2768, 0x79b9, 0x2797, 0x79aa, 0x27c7, 0x799a, 0x27f7, - 0x798a, 0x2827, 0x797a, 0x2856, 0x796a, 0x2886, 0x795b, 0x28b6, - 0x794a, 0x28e5, 0x793a, 0x2915, 0x792a, 0x2945, 0x791a, 0x2974, - 0x790a, 0x29a4, 0x78f9, 0x29d3, 0x78e9, 0x2a03, 0x78d8, 0x2a32, - 0x78c8, 0x2a62, 0x78b7, 0x2a91, 0x78a6, 0x2ac1, 0x7895, 0x2af0, - 0x7885, 0x2b1f, 0x7874, 0x2b4f, 0x7863, 0x2b7e, 0x7851, 0x2bad, - 0x7840, 0x2bdc, 0x782f, 0x2c0c, 0x781e, 0x2c3b, 0x780c, 0x2c6a, - 0x77fb, 0x2c99, 0x77e9, 0x2cc8, 0x77d8, 0x2cf7, 0x77c6, 0x2d26, - 0x77b4, 0x2d55, 0x77a2, 0x2d84, 0x7790, 0x2db3, 0x777e, 0x2de2, - 0x776c, 0x2e11, 0x775a, 0x2e40, 0x7748, 0x2e6f, 0x7736, 0x2e9e, - 0x7723, 0x2ecc, 0x7711, 0x2efb, 0x76fe, 0x2f2a, 0x76ec, 0x2f59, - 0x76d9, 0x2f87, 0x76c7, 0x2fb6, 0x76b4, 0x2fe5, 0x76a1, 0x3013, - 0x768e, 0x3042, 0x767b, 0x3070, 0x7668, 0x309f, 0x7655, 0x30cd, - 0x7642, 0x30fc, 0x762e, 0x312a, 0x761b, 0x3159, 0x7608, 0x3187, - 0x75f4, 0x31b5, 0x75e1, 0x31e4, 0x75cd, 0x3212, 0x75b9, 0x3240, - 0x75a6, 0x326e, 0x7592, 0x329d, 0x757e, 0x32cb, 0x756a, 0x32f9, - 0x7556, 0x3327, 0x7542, 0x3355, 0x752d, 0x3383, 0x7519, 0x33b1, - 0x7505, 0x33df, 0x74f0, 0x340d, 0x74dc, 0x343b, 0x74c7, 0x3469, - 0x74b3, 0x3497, 0x749e, 0x34c4, 0x7489, 0x34f2, 0x7475, 0x3520, - 0x7460, 0x354e, 0x744b, 0x357b, 0x7436, 0x35a9, 0x7421, 0x35d7, - 0x740b, 0x3604, 0x73f6, 0x3632, 0x73e1, 0x365f, 0x73cb, 0x368d, - 0x73b6, 0x36ba, 0x73a0, 0x36e8, 0x738b, 0x3715, 0x7375, 0x3742, - 0x735f, 0x3770, 0x734a, 0x379d, 0x7334, 0x37ca, 0x731e, 0x37f7, - 0x7308, 0x3825, 0x72f2, 0x3852, 0x72dc, 0x387f, 0x72c5, 0x38ac, - 0x72af, 0x38d9, 0x7299, 0x3906, 0x7282, 0x3933, 0x726c, 0x3960, - 0x7255, 0x398d, 0x723f, 0x39ba, 0x7228, 0x39e7, 0x7211, 0x3a13, - 0x71fa, 0x3a40, 0x71e3, 0x3a6d, 0x71cc, 0x3a9a, 0x71b5, 0x3ac6, - 0x719e, 0x3af3, 0x7187, 0x3b20, 0x7170, 0x3b4c, 0x7158, 0x3b79, - 0x7141, 0x3ba5, 0x712a, 0x3bd2, 0x7112, 0x3bfe, 0x70fa, 0x3c2a, - 0x70e3, 0x3c57, 0x70cb, 0x3c83, 0x70b3, 0x3caf, 0x709b, 0x3cdc, - 0x7083, 0x3d08, 0x706b, 0x3d34, 0x7053, 0x3d60, 0x703b, 0x3d8c, - 0x7023, 0x3db8, 0x700b, 0x3de4, 0x6ff2, 0x3e10, 0x6fda, 0x3e3c, - 0x6fc2, 0x3e68, 0x6fa9, 0x3e94, 0x6f90, 0x3ec0, 0x6f78, 0x3eec, - 0x6f5f, 0x3f17, 0x6f46, 0x3f43, 0x6f2d, 0x3f6f, 0x6f14, 0x3f9a, - 0x6efb, 0x3fc6, 0x6ee2, 0x3ff1, 0x6ec9, 0x401d, 0x6eb0, 0x4048, - 0x6e97, 0x4074, 0x6e7d, 0x409f, 0x6e64, 0x40cb, 0x6e4a, 0x40f6, - 0x6e31, 0x4121, 0x6e17, 0x414d, 0x6dfe, 0x4178, 0x6de4, 0x41a3, - 0x6dca, 0x41ce, 0x6db0, 0x41f9, 0x6d96, 0x4224, 0x6d7c, 0x424f, - 0x6d62, 0x427a, 0x6d48, 0x42a5, 0x6d2e, 0x42d0, 0x6d14, 0x42fb, - 0x6cf9, 0x4326, 0x6cdf, 0x4351, 0x6cc4, 0x437b, 0x6caa, 0x43a6, - 0x6c8f, 0x43d1, 0x6c75, 0x43fb, 0x6c5a, 0x4426, 0x6c3f, 0x4450, - 0x6c24, 0x447b, 0x6c09, 0x44a5, 0x6bee, 0x44d0, 0x6bd3, 0x44fa, - 0x6bb8, 0x4524, 0x6b9d, 0x454f, 0x6b82, 0x4579, 0x6b66, 0x45a3, - 0x6b4b, 0x45cd, 0x6b30, 0x45f7, 0x6b14, 0x4621, 0x6af8, 0x464b, - 0x6add, 0x4675, 0x6ac1, 0x469f, 0x6aa5, 0x46c9, 0x6a89, 0x46f3, - 0x6a6e, 0x471d, 0x6a52, 0x4747, 0x6a36, 0x4770, 0x6a1a, 0x479a, - 0x69fd, 0x47c4, 0x69e1, 0x47ed, 0x69c5, 0x4817, 0x69a9, 0x4840, - 0x698c, 0x486a, 0x6970, 0x4893, 0x6953, 0x48bd, 0x6937, 0x48e6, - 0x691a, 0x490f, 0x68fd, 0x4939, 0x68e0, 0x4962, 0x68c4, 0x498b, - 0x68a7, 0x49b4, 0x688a, 0x49dd, 0x686d, 0x4a06, 0x6850, 0x4a2f, - 0x6832, 0x4a58, 0x6815, 0x4a81, 0x67f8, 0x4aaa, 0x67da, 0x4ad3, - 0x67bd, 0x4afb, 0x67a0, 0x4b24, 0x6782, 0x4b4d, 0x6764, 0x4b75, - 0x6747, 0x4b9e, 0x6729, 0x4bc7, 0x670b, 0x4bef, 0x66ed, 0x4c17, - 0x66d0, 0x4c40, 0x66b2, 0x4c68, 0x6693, 0x4c91, 0x6675, 0x4cb9, - 0x6657, 0x4ce1, 0x6639, 0x4d09, 0x661b, 0x4d31, 0x65fc, 0x4d59, - 0x65de, 0x4d81, 0x65c0, 0x4da9, 0x65a1, 0x4dd1, 0x6582, 0x4df9, - 0x6564, 0x4e21, 0x6545, 0x4e49, 0x6526, 0x4e71, 0x6507, 0x4e98, - 0x64e9, 0x4ec0, 0x64ca, 0x4ee8, 0x64ab, 0x4f0f, 0x648b, 0x4f37, - 0x646c, 0x4f5e, 0x644d, 0x4f85, 0x642e, 0x4fad, 0x640f, 0x4fd4, - 0x63ef, 0x4ffb, 0x63d0, 0x5023, 0x63b0, 0x504a, 0x6391, 0x5071, - 0x6371, 0x5098, 0x6351, 0x50bf, 0x6332, 0x50e6, 0x6312, 0x510d, - 0x62f2, 0x5134, 0x62d2, 0x515b, 0x62b2, 0x5181, 0x6292, 0x51a8, - 0x6272, 0x51cf, 0x6252, 0x51f5, 0x6232, 0x521c, 0x6211, 0x5243, - 0x61f1, 0x5269, 0x61d1, 0x5290, 0x61b0, 0x52b6, 0x6190, 0x52dc, - 0x616f, 0x5303, 0x614e, 0x5329, 0x612e, 0x534f, 0x610d, 0x5375, - 0x60ec, 0x539b, 0x60cb, 0x53c1, 0x60aa, 0x53e7, 0x6089, 0x540d, - 0x6068, 0x5433, 0x6047, 0x5459, 0x6026, 0x547f, 0x6005, 0x54a4, - 0x5fe4, 0x54ca, 0x5fc2, 0x54f0, 0x5fa1, 0x5515, 0x5f80, 0x553b, - 0x5f5e, 0x5560, 0x5f3c, 0x5586, 0x5f1b, 0x55ab, 0x5ef9, 0x55d0, - 0x5ed7, 0x55f6, 0x5eb6, 0x561b, 0x5e94, 0x5640, 0x5e72, 0x5665, - 0x5e50, 0x568a, 0x5e2e, 0x56af, 0x5e0c, 0x56d4, 0x5dea, 0x56f9, - 0x5dc8, 0x571e, 0x5da5, 0x5743, 0x5d83, 0x5767, 0x5d61, 0x578c, - 0x5d3e, 0x57b1, 0x5d1c, 0x57d5, 0x5cf9, 0x57fa, 0x5cd7, 0x581e, - 0x5cb4, 0x5843, 0x5c91, 0x5867, 0x5c6f, 0x588c, 0x5c4c, 0x58b0, - 0x5c29, 0x58d4, 0x5c06, 0x58f8, 0x5be3, 0x591c, 0x5bc0, 0x5940, - 0x5b9d, 0x5964, 0x5b7a, 0x5988, 0x5b57, 0x59ac, 0x5b34, 0x59d0, - 0x5b10, 0x59f4, 0x5aed, 0x5a18, 0x5ac9, 0x5a3b, 0x5aa6, 0x5a5f, - 0x5a82, 0x5a82, 0x5a5f, 0x5aa6, 0x5a3b, 0x5ac9, 0x5a18, 0x5aed, - 0x59f4, 0x5b10, 0x59d0, 0x5b34, 0x59ac, 0x5b57, 0x5988, 0x5b7a, - 0x5964, 0x5b9d, 0x5940, 0x5bc0, 0x591c, 0x5be3, 0x58f8, 0x5c06, - 0x58d4, 0x5c29, 0x58b0, 0x5c4c, 0x588c, 0x5c6f, 0x5867, 0x5c91, - 0x5843, 0x5cb4, 0x581e, 0x5cd7, 0x57fa, 0x5cf9, 0x57d5, 0x5d1c, - 0x57b1, 0x5d3e, 0x578c, 0x5d61, 0x5767, 0x5d83, 0x5743, 0x5da5, - 0x571e, 0x5dc8, 0x56f9, 0x5dea, 0x56d4, 0x5e0c, 0x56af, 0x5e2e, - 0x568a, 0x5e50, 0x5665, 0x5e72, 0x5640, 0x5e94, 0x561b, 0x5eb6, - 0x55f6, 0x5ed7, 0x55d0, 0x5ef9, 0x55ab, 0x5f1b, 0x5586, 0x5f3c, - 0x5560, 0x5f5e, 0x553b, 0x5f80, 0x5515, 0x5fa1, 0x54f0, 0x5fc2, - 0x54ca, 0x5fe4, 0x54a4, 0x6005, 0x547f, 0x6026, 0x5459, 0x6047, - 0x5433, 0x6068, 0x540d, 0x6089, 0x53e7, 0x60aa, 0x53c1, 0x60cb, - 0x539b, 0x60ec, 0x5375, 0x610d, 0x534f, 0x612e, 0x5329, 0x614e, - 0x5303, 0x616f, 0x52dc, 0x6190, 0x52b6, 0x61b0, 0x5290, 0x61d1, - 0x5269, 0x61f1, 0x5243, 0x6211, 0x521c, 0x6232, 0x51f5, 0x6252, - 0x51cf, 0x6272, 0x51a8, 0x6292, 0x5181, 0x62b2, 0x515b, 0x62d2, - 0x5134, 0x62f2, 0x510d, 0x6312, 0x50e6, 0x6332, 0x50bf, 0x6351, - 0x5098, 0x6371, 0x5071, 0x6391, 0x504a, 0x63b0, 0x5023, 0x63d0, - 0x4ffb, 0x63ef, 0x4fd4, 0x640f, 0x4fad, 0x642e, 0x4f85, 0x644d, - 0x4f5e, 0x646c, 0x4f37, 0x648b, 0x4f0f, 0x64ab, 0x4ee8, 0x64ca, - 0x4ec0, 0x64e9, 0x4e98, 0x6507, 0x4e71, 0x6526, 0x4e49, 0x6545, - 0x4e21, 0x6564, 0x4df9, 0x6582, 0x4dd1, 0x65a1, 0x4da9, 0x65c0, - 0x4d81, 0x65de, 0x4d59, 0x65fc, 0x4d31, 0x661b, 0x4d09, 0x6639, - 0x4ce1, 0x6657, 0x4cb9, 0x6675, 0x4c91, 0x6693, 0x4c68, 0x66b2, - 0x4c40, 0x66d0, 0x4c17, 0x66ed, 0x4bef, 0x670b, 0x4bc7, 0x6729, - 0x4b9e, 0x6747, 0x4b75, 0x6764, 0x4b4d, 0x6782, 0x4b24, 0x67a0, - 0x4afb, 0x67bd, 0x4ad3, 0x67da, 0x4aaa, 0x67f8, 0x4a81, 0x6815, - 0x4a58, 0x6832, 0x4a2f, 0x6850, 0x4a06, 0x686d, 0x49dd, 0x688a, - 0x49b4, 0x68a7, 0x498b, 0x68c4, 0x4962, 0x68e0, 0x4939, 0x68fd, - 0x490f, 0x691a, 0x48e6, 0x6937, 0x48bd, 0x6953, 0x4893, 0x6970, - 0x486a, 0x698c, 0x4840, 0x69a9, 0x4817, 0x69c5, 0x47ed, 0x69e1, - 0x47c4, 0x69fd, 0x479a, 0x6a1a, 0x4770, 0x6a36, 0x4747, 0x6a52, - 0x471d, 0x6a6e, 0x46f3, 0x6a89, 0x46c9, 0x6aa5, 0x469f, 0x6ac1, - 0x4675, 0x6add, 0x464b, 0x6af8, 0x4621, 0x6b14, 0x45f7, 0x6b30, - 0x45cd, 0x6b4b, 0x45a3, 0x6b66, 0x4579, 0x6b82, 0x454f, 0x6b9d, - 0x4524, 0x6bb8, 0x44fa, 0x6bd3, 0x44d0, 0x6bee, 0x44a5, 0x6c09, - 0x447b, 0x6c24, 0x4450, 0x6c3f, 0x4426, 0x6c5a, 0x43fb, 0x6c75, - 0x43d1, 0x6c8f, 0x43a6, 0x6caa, 0x437b, 0x6cc4, 0x4351, 0x6cdf, - 0x4326, 0x6cf9, 0x42fb, 0x6d14, 0x42d0, 0x6d2e, 0x42a5, 0x6d48, - 0x427a, 0x6d62, 0x424f, 0x6d7c, 0x4224, 0x6d96, 0x41f9, 0x6db0, - 0x41ce, 0x6dca, 0x41a3, 0x6de4, 0x4178, 0x6dfe, 0x414d, 0x6e17, - 0x4121, 0x6e31, 0x40f6, 0x6e4a, 0x40cb, 0x6e64, 0x409f, 0x6e7d, - 0x4074, 0x6e97, 0x4048, 0x6eb0, 0x401d, 0x6ec9, 0x3ff1, 0x6ee2, - 0x3fc6, 0x6efb, 0x3f9a, 0x6f14, 0x3f6f, 0x6f2d, 0x3f43, 0x6f46, - 0x3f17, 0x6f5f, 0x3eec, 0x6f78, 0x3ec0, 0x6f90, 0x3e94, 0x6fa9, - 0x3e68, 0x6fc2, 0x3e3c, 0x6fda, 0x3e10, 0x6ff2, 0x3de4, 0x700b, - 0x3db8, 0x7023, 0x3d8c, 0x703b, 0x3d60, 0x7053, 0x3d34, 0x706b, - 0x3d08, 0x7083, 0x3cdc, 0x709b, 0x3caf, 0x70b3, 0x3c83, 0x70cb, - 0x3c57, 0x70e3, 0x3c2a, 0x70fa, 0x3bfe, 0x7112, 0x3bd2, 0x712a, - 0x3ba5, 0x7141, 0x3b79, 0x7158, 0x3b4c, 0x7170, 0x3b20, 0x7187, - 0x3af3, 0x719e, 0x3ac6, 0x71b5, 0x3a9a, 0x71cc, 0x3a6d, 0x71e3, - 0x3a40, 0x71fa, 0x3a13, 0x7211, 0x39e7, 0x7228, 0x39ba, 0x723f, - 0x398d, 0x7255, 0x3960, 0x726c, 0x3933, 0x7282, 0x3906, 0x7299, - 0x38d9, 0x72af, 0x38ac, 0x72c5, 0x387f, 0x72dc, 0x3852, 0x72f2, - 0x3825, 0x7308, 0x37f7, 0x731e, 0x37ca, 0x7334, 0x379d, 0x734a, - 0x3770, 0x735f, 0x3742, 0x7375, 0x3715, 0x738b, 0x36e8, 0x73a0, - 0x36ba, 0x73b6, 0x368d, 0x73cb, 0x365f, 0x73e1, 0x3632, 0x73f6, - 0x3604, 0x740b, 0x35d7, 0x7421, 0x35a9, 0x7436, 0x357b, 0x744b, - 0x354e, 0x7460, 0x3520, 0x7475, 0x34f2, 0x7489, 0x34c4, 0x749e, - 0x3497, 0x74b3, 0x3469, 0x74c7, 0x343b, 0x74dc, 0x340d, 0x74f0, - 0x33df, 0x7505, 0x33b1, 0x7519, 0x3383, 0x752d, 0x3355, 0x7542, - 0x3327, 0x7556, 0x32f9, 0x756a, 0x32cb, 0x757e, 0x329d, 0x7592, - 0x326e, 0x75a6, 0x3240, 0x75b9, 0x3212, 0x75cd, 0x31e4, 0x75e1, - 0x31b5, 0x75f4, 0x3187, 0x7608, 0x3159, 0x761b, 0x312a, 0x762e, - 0x30fc, 0x7642, 0x30cd, 0x7655, 0x309f, 0x7668, 0x3070, 0x767b, - 0x3042, 0x768e, 0x3013, 0x76a1, 0x2fe5, 0x76b4, 0x2fb6, 0x76c7, - 0x2f87, 0x76d9, 0x2f59, 0x76ec, 0x2f2a, 0x76fe, 0x2efb, 0x7711, - 0x2ecc, 0x7723, 0x2e9e, 0x7736, 0x2e6f, 0x7748, 0x2e40, 0x775a, - 0x2e11, 0x776c, 0x2de2, 0x777e, 0x2db3, 0x7790, 0x2d84, 0x77a2, - 0x2d55, 0x77b4, 0x2d26, 0x77c6, 0x2cf7, 0x77d8, 0x2cc8, 0x77e9, - 0x2c99, 0x77fb, 0x2c6a, 0x780c, 0x2c3b, 0x781e, 0x2c0c, 0x782f, - 0x2bdc, 0x7840, 0x2bad, 0x7851, 0x2b7e, 0x7863, 0x2b4f, 0x7874, - 0x2b1f, 0x7885, 0x2af0, 0x7895, 0x2ac1, 0x78a6, 0x2a91, 0x78b7, - 0x2a62, 0x78c8, 0x2a32, 0x78d8, 0x2a03, 0x78e9, 0x29d3, 0x78f9, - 0x29a4, 0x790a, 0x2974, 0x791a, 0x2945, 0x792a, 0x2915, 0x793a, - 0x28e5, 0x794a, 0x28b6, 0x795b, 0x2886, 0x796a, 0x2856, 0x797a, - 0x2827, 0x798a, 0x27f7, 0x799a, 0x27c7, 0x79aa, 0x2797, 0x79b9, - 0x2768, 0x79c9, 0x2738, 0x79d8, 0x2708, 0x79e7, 0x26d8, 0x79f7, - 0x26a8, 0x7a06, 0x2678, 0x7a15, 0x2648, 0x7a24, 0x2618, 0x7a33, - 0x25e8, 0x7a42, 0x25b8, 0x7a51, 0x2588, 0x7a60, 0x2558, 0x7a6e, - 0x2528, 0x7a7d, 0x24f8, 0x7a8c, 0x24c8, 0x7a9a, 0x2498, 0x7aa8, - 0x2467, 0x7ab7, 0x2437, 0x7ac5, 0x2407, 0x7ad3, 0x23d7, 0x7ae1, - 0x23a7, 0x7aef, 0x2376, 0x7afd, 0x2346, 0x7b0b, 0x2316, 0x7b19, - 0x22e5, 0x7b27, 0x22b5, 0x7b34, 0x2284, 0x7b42, 0x2254, 0x7b50, - 0x2224, 0x7b5d, 0x21f3, 0x7b6a, 0x21c3, 0x7b78, 0x2192, 0x7b85, - 0x2162, 0x7b92, 0x2131, 0x7b9f, 0x2101, 0x7bac, 0x20d0, 0x7bb9, - 0x209f, 0x7bc6, 0x206f, 0x7bd3, 0x203e, 0x7bdf, 0x200e, 0x7bec, - 0x1fdd, 0x7bf9, 0x1fac, 0x7c05, 0x1f7b, 0x7c11, 0x1f4b, 0x7c1e, - 0x1f1a, 0x7c2a, 0x1ee9, 0x7c36, 0x1eb8, 0x7c42, 0x1e88, 0x7c4e, - 0x1e57, 0x7c5a, 0x1e26, 0x7c66, 0x1df5, 0x7c72, 0x1dc4, 0x7c7e, - 0x1d93, 0x7c89, 0x1d62, 0x7c95, 0x1d31, 0x7ca0, 0x1d01, 0x7cac, - 0x1cd0, 0x7cb7, 0x1c9f, 0x7cc2, 0x1c6e, 0x7cce, 0x1c3d, 0x7cd9, - 0x1c0c, 0x7ce4, 0x1bda, 0x7cef, 0x1ba9, 0x7cfa, 0x1b78, 0x7d05, - 0x1b47, 0x7d0f, 0x1b16, 0x7d1a, 0x1ae5, 0x7d25, 0x1ab4, 0x7d2f, - 0x1a83, 0x7d3a, 0x1a51, 0x7d44, 0x1a20, 0x7d4e, 0x19ef, 0x7d58, - 0x19be, 0x7d63, 0x198d, 0x7d6d, 0x195b, 0x7d77, 0x192a, 0x7d81, - 0x18f9, 0x7d8a, 0x18c7, 0x7d94, 0x1896, 0x7d9e, 0x1865, 0x7da7, - 0x1833, 0x7db1, 0x1802, 0x7dba, 0x17d1, 0x7dc4, 0x179f, 0x7dcd, - 0x176e, 0x7dd6, 0x173c, 0x7de0, 0x170b, 0x7de9, 0x16da, 0x7df2, - 0x16a8, 0x7dfb, 0x1677, 0x7e03, 0x1645, 0x7e0c, 0x1614, 0x7e15, - 0x15e2, 0x7e1e, 0x15b1, 0x7e26, 0x157f, 0x7e2f, 0x154d, 0x7e37, - 0x151c, 0x7e3f, 0x14ea, 0x7e48, 0x14b9, 0x7e50, 0x1487, 0x7e58, - 0x1455, 0x7e60, 0x1424, 0x7e68, 0x13f2, 0x7e70, 0x13c1, 0x7e78, - 0x138f, 0x7e7f, 0x135d, 0x7e87, 0x132b, 0x7e8e, 0x12fa, 0x7e96, - 0x12c8, 0x7e9d, 0x1296, 0x7ea5, 0x1265, 0x7eac, 0x1233, 0x7eb3, - 0x1201, 0x7eba, 0x11cf, 0x7ec1, 0x119e, 0x7ec8, 0x116c, 0x7ecf, - 0x113a, 0x7ed6, 0x1108, 0x7edd, 0x10d6, 0x7ee3, 0x10a4, 0x7eea, - 0x1073, 0x7ef0, 0x1041, 0x7ef7, 0x100f, 0x7efd, 0xfdd, 0x7f03, - 0xfab, 0x7f0a, 0xf79, 0x7f10, 0xf47, 0x7f16, 0xf15, 0x7f1c, - 0xee4, 0x7f22, 0xeb2, 0x7f27, 0xe80, 0x7f2d, 0xe4e, 0x7f33, - 0xe1c, 0x7f38, 0xdea, 0x7f3e, 0xdb8, 0x7f43, 0xd86, 0x7f49, - 0xd54, 0x7f4e, 0xd22, 0x7f53, 0xcf0, 0x7f58, 0xcbe, 0x7f5d, - 0xc8c, 0x7f62, 0xc5a, 0x7f67, 0xc28, 0x7f6c, 0xbf6, 0x7f71, - 0xbc4, 0x7f75, 0xb92, 0x7f7a, 0xb60, 0x7f7e, 0xb2d, 0x7f83, - 0xafb, 0x7f87, 0xac9, 0x7f8b, 0xa97, 0x7f90, 0xa65, 0x7f94, - 0xa33, 0x7f98, 0xa01, 0x7f9c, 0x9cf, 0x7fa0, 0x99d, 0x7fa3, - 0x96b, 0x7fa7, 0x938, 0x7fab, 0x906, 0x7fae, 0x8d4, 0x7fb2, - 0x8a2, 0x7fb5, 0x870, 0x7fb9, 0x83e, 0x7fbc, 0x80c, 0x7fbf, - 0x7d9, 0x7fc2, 0x7a7, 0x7fc5, 0x775, 0x7fc8, 0x743, 0x7fcb, - 0x711, 0x7fce, 0x6de, 0x7fd1, 0x6ac, 0x7fd3, 0x67a, 0x7fd6, - 0x648, 0x7fd9, 0x616, 0x7fdb, 0x5e3, 0x7fdd, 0x5b1, 0x7fe0, - 0x57f, 0x7fe2, 0x54d, 0x7fe4, 0x51b, 0x7fe6, 0x4e8, 0x7fe8, - 0x4b6, 0x7fea, 0x484, 0x7fec, 0x452, 0x7fed, 0x41f, 0x7fef, - 0x3ed, 0x7ff1, 0x3bb, 0x7ff2, 0x389, 0x7ff4, 0x356, 0x7ff5, - 0x324, 0x7ff6, 0x2f2, 0x7ff7, 0x2c0, 0x7ff8, 0x28d, 0x7ff9, - 0x25b, 0x7ffa, 0x229, 0x7ffb, 0x1f7, 0x7ffc, 0x1c4, 0x7ffd, - 0x192, 0x7ffe, 0x160, 0x7ffe, 0x12e, 0x7fff, 0xfb, 0x7fff, - 0xc9, 0x7fff, 0x97, 0x7fff, 0x65, 0x7fff, 0x32, 0x7fff, - 0x0, 0x7fff, 0xffce, 0x7fff, 0xff9b, 0x7fff, 0xff69, 0x7fff, - 0xff37, 0x7fff, 0xff05, 0x7fff, 0xfed2, 0x7fff, 0xfea0, 0x7ffe, - 0xfe6e, 0x7ffe, 0xfe3c, 0x7ffd, 0xfe09, 0x7ffc, 0xfdd7, 0x7ffb, - 0xfda5, 0x7ffa, 0xfd73, 0x7ff9, 0xfd40, 0x7ff8, 0xfd0e, 0x7ff7, - 0xfcdc, 0x7ff6, 0xfcaa, 0x7ff5, 0xfc77, 0x7ff4, 0xfc45, 0x7ff2, - 0xfc13, 0x7ff1, 0xfbe1, 0x7fef, 0xfbae, 0x7fed, 0xfb7c, 0x7fec, - 0xfb4a, 0x7fea, 0xfb18, 0x7fe8, 0xfae5, 0x7fe6, 0xfab3, 0x7fe4, - 0xfa81, 0x7fe2, 0xfa4f, 0x7fe0, 0xfa1d, 0x7fdd, 0xf9ea, 0x7fdb, - 0xf9b8, 0x7fd9, 0xf986, 0x7fd6, 0xf954, 0x7fd3, 0xf922, 0x7fd1, - 0xf8ef, 0x7fce, 0xf8bd, 0x7fcb, 0xf88b, 0x7fc8, 0xf859, 0x7fc5, - 0xf827, 0x7fc2, 0xf7f4, 0x7fbf, 0xf7c2, 0x7fbc, 0xf790, 0x7fb9, - 0xf75e, 0x7fb5, 0xf72c, 0x7fb2, 0xf6fa, 0x7fae, 0xf6c8, 0x7fab, - 0xf695, 0x7fa7, 0xf663, 0x7fa3, 0xf631, 0x7fa0, 0xf5ff, 0x7f9c, - 0xf5cd, 0x7f98, 0xf59b, 0x7f94, 0xf569, 0x7f90, 0xf537, 0x7f8b, - 0xf505, 0x7f87, 0xf4d3, 0x7f83, 0xf4a0, 0x7f7e, 0xf46e, 0x7f7a, - 0xf43c, 0x7f75, 0xf40a, 0x7f71, 0xf3d8, 0x7f6c, 0xf3a6, 0x7f67, - 0xf374, 0x7f62, 0xf342, 0x7f5d, 0xf310, 0x7f58, 0xf2de, 0x7f53, - 0xf2ac, 0x7f4e, 0xf27a, 0x7f49, 0xf248, 0x7f43, 0xf216, 0x7f3e, - 0xf1e4, 0x7f38, 0xf1b2, 0x7f33, 0xf180, 0x7f2d, 0xf14e, 0x7f27, - 0xf11c, 0x7f22, 0xf0eb, 0x7f1c, 0xf0b9, 0x7f16, 0xf087, 0x7f10, - 0xf055, 0x7f0a, 0xf023, 0x7f03, 0xeff1, 0x7efd, 0xefbf, 0x7ef7, - 0xef8d, 0x7ef0, 0xef5c, 0x7eea, 0xef2a, 0x7ee3, 0xeef8, 0x7edd, - 0xeec6, 0x7ed6, 0xee94, 0x7ecf, 0xee62, 0x7ec8, 0xee31, 0x7ec1, - 0xedff, 0x7eba, 0xedcd, 0x7eb3, 0xed9b, 0x7eac, 0xed6a, 0x7ea5, - 0xed38, 0x7e9d, 0xed06, 0x7e96, 0xecd5, 0x7e8e, 0xeca3, 0x7e87, - 0xec71, 0x7e7f, 0xec3f, 0x7e78, 0xec0e, 0x7e70, 0xebdc, 0x7e68, - 0xebab, 0x7e60, 0xeb79, 0x7e58, 0xeb47, 0x7e50, 0xeb16, 0x7e48, - 0xeae4, 0x7e3f, 0xeab3, 0x7e37, 0xea81, 0x7e2f, 0xea4f, 0x7e26, - 0xea1e, 0x7e1e, 0xe9ec, 0x7e15, 0xe9bb, 0x7e0c, 0xe989, 0x7e03, - 0xe958, 0x7dfb, 0xe926, 0x7df2, 0xe8f5, 0x7de9, 0xe8c4, 0x7de0, - 0xe892, 0x7dd6, 0xe861, 0x7dcd, 0xe82f, 0x7dc4, 0xe7fe, 0x7dba, - 0xe7cd, 0x7db1, 0xe79b, 0x7da7, 0xe76a, 0x7d9e, 0xe739, 0x7d94, - 0xe707, 0x7d8a, 0xe6d6, 0x7d81, 0xe6a5, 0x7d77, 0xe673, 0x7d6d, - 0xe642, 0x7d63, 0xe611, 0x7d58, 0xe5e0, 0x7d4e, 0xe5af, 0x7d44, - 0xe57d, 0x7d3a, 0xe54c, 0x7d2f, 0xe51b, 0x7d25, 0xe4ea, 0x7d1a, - 0xe4b9, 0x7d0f, 0xe488, 0x7d05, 0xe457, 0x7cfa, 0xe426, 0x7cef, - 0xe3f4, 0x7ce4, 0xe3c3, 0x7cd9, 0xe392, 0x7cce, 0xe361, 0x7cc2, - 0xe330, 0x7cb7, 0xe2ff, 0x7cac, 0xe2cf, 0x7ca0, 0xe29e, 0x7c95, - 0xe26d, 0x7c89, 0xe23c, 0x7c7e, 0xe20b, 0x7c72, 0xe1da, 0x7c66, - 0xe1a9, 0x7c5a, 0xe178, 0x7c4e, 0xe148, 0x7c42, 0xe117, 0x7c36, - 0xe0e6, 0x7c2a, 0xe0b5, 0x7c1e, 0xe085, 0x7c11, 0xe054, 0x7c05, - 0xe023, 0x7bf9, 0xdff2, 0x7bec, 0xdfc2, 0x7bdf, 0xdf91, 0x7bd3, - 0xdf61, 0x7bc6, 0xdf30, 0x7bb9, 0xdeff, 0x7bac, 0xdecf, 0x7b9f, - 0xde9e, 0x7b92, 0xde6e, 0x7b85, 0xde3d, 0x7b78, 0xde0d, 0x7b6a, - 0xdddc, 0x7b5d, 0xddac, 0x7b50, 0xdd7c, 0x7b42, 0xdd4b, 0x7b34, - 0xdd1b, 0x7b27, 0xdcea, 0x7b19, 0xdcba, 0x7b0b, 0xdc8a, 0x7afd, - 0xdc59, 0x7aef, 0xdc29, 0x7ae1, 0xdbf9, 0x7ad3, 0xdbc9, 0x7ac5, - 0xdb99, 0x7ab7, 0xdb68, 0x7aa8, 0xdb38, 0x7a9a, 0xdb08, 0x7a8c, - 0xdad8, 0x7a7d, 0xdaa8, 0x7a6e, 0xda78, 0x7a60, 0xda48, 0x7a51, - 0xda18, 0x7a42, 0xd9e8, 0x7a33, 0xd9b8, 0x7a24, 0xd988, 0x7a15, - 0xd958, 0x7a06, 0xd928, 0x79f7, 0xd8f8, 0x79e7, 0xd8c8, 0x79d8, - 0xd898, 0x79c9, 0xd869, 0x79b9, 0xd839, 0x79aa, 0xd809, 0x799a, - 0xd7d9, 0x798a, 0xd7aa, 0x797a, 0xd77a, 0x796a, 0xd74a, 0x795b, - 0xd71b, 0x794a, 0xd6eb, 0x793a, 0xd6bb, 0x792a, 0xd68c, 0x791a, - 0xd65c, 0x790a, 0xd62d, 0x78f9, 0xd5fd, 0x78e9, 0xd5ce, 0x78d8, - 0xd59e, 0x78c8, 0xd56f, 0x78b7, 0xd53f, 0x78a6, 0xd510, 0x7895, - 0xd4e1, 0x7885, 0xd4b1, 0x7874, 0xd482, 0x7863, 0xd453, 0x7851, - 0xd424, 0x7840, 0xd3f4, 0x782f, 0xd3c5, 0x781e, 0xd396, 0x780c, - 0xd367, 0x77fb, 0xd338, 0x77e9, 0xd309, 0x77d8, 0xd2da, 0x77c6, - 0xd2ab, 0x77b4, 0xd27c, 0x77a2, 0xd24d, 0x7790, 0xd21e, 0x777e, - 0xd1ef, 0x776c, 0xd1c0, 0x775a, 0xd191, 0x7748, 0xd162, 0x7736, - 0xd134, 0x7723, 0xd105, 0x7711, 0xd0d6, 0x76fe, 0xd0a7, 0x76ec, - 0xd079, 0x76d9, 0xd04a, 0x76c7, 0xd01b, 0x76b4, 0xcfed, 0x76a1, - 0xcfbe, 0x768e, 0xcf90, 0x767b, 0xcf61, 0x7668, 0xcf33, 0x7655, - 0xcf04, 0x7642, 0xced6, 0x762e, 0xcea7, 0x761b, 0xce79, 0x7608, - 0xce4b, 0x75f4, 0xce1c, 0x75e1, 0xcdee, 0x75cd, 0xcdc0, 0x75b9, - 0xcd92, 0x75a6, 0xcd63, 0x7592, 0xcd35, 0x757e, 0xcd07, 0x756a, - 0xccd9, 0x7556, 0xccab, 0x7542, 0xcc7d, 0x752d, 0xcc4f, 0x7519, - 0xcc21, 0x7505, 0xcbf3, 0x74f0, 0xcbc5, 0x74dc, 0xcb97, 0x74c7, - 0xcb69, 0x74b3, 0xcb3c, 0x749e, 0xcb0e, 0x7489, 0xcae0, 0x7475, - 0xcab2, 0x7460, 0xca85, 0x744b, 0xca57, 0x7436, 0xca29, 0x7421, - 0xc9fc, 0x740b, 0xc9ce, 0x73f6, 0xc9a1, 0x73e1, 0xc973, 0x73cb, - 0xc946, 0x73b6, 0xc918, 0x73a0, 0xc8eb, 0x738b, 0xc8be, 0x7375, - 0xc890, 0x735f, 0xc863, 0x734a, 0xc836, 0x7334, 0xc809, 0x731e, - 0xc7db, 0x7308, 0xc7ae, 0x72f2, 0xc781, 0x72dc, 0xc754, 0x72c5, - 0xc727, 0x72af, 0xc6fa, 0x7299, 0xc6cd, 0x7282, 0xc6a0, 0x726c, - 0xc673, 0x7255, 0xc646, 0x723f, 0xc619, 0x7228, 0xc5ed, 0x7211, - 0xc5c0, 0x71fa, 0xc593, 0x71e3, 0xc566, 0x71cc, 0xc53a, 0x71b5, - 0xc50d, 0x719e, 0xc4e0, 0x7187, 0xc4b4, 0x7170, 0xc487, 0x7158, - 0xc45b, 0x7141, 0xc42e, 0x712a, 0xc402, 0x7112, 0xc3d6, 0x70fa, - 0xc3a9, 0x70e3, 0xc37d, 0x70cb, 0xc351, 0x70b3, 0xc324, 0x709b, - 0xc2f8, 0x7083, 0xc2cc, 0x706b, 0xc2a0, 0x7053, 0xc274, 0x703b, - 0xc248, 0x7023, 0xc21c, 0x700b, 0xc1f0, 0x6ff2, 0xc1c4, 0x6fda, - 0xc198, 0x6fc2, 0xc16c, 0x6fa9, 0xc140, 0x6f90, 0xc114, 0x6f78, - 0xc0e9, 0x6f5f, 0xc0bd, 0x6f46, 0xc091, 0x6f2d, 0xc066, 0x6f14, - 0xc03a, 0x6efb, 0xc00f, 0x6ee2, 0xbfe3, 0x6ec9, 0xbfb8, 0x6eb0, - 0xbf8c, 0x6e97, 0xbf61, 0x6e7d, 0xbf35, 0x6e64, 0xbf0a, 0x6e4a, - 0xbedf, 0x6e31, 0xbeb3, 0x6e17, 0xbe88, 0x6dfe, 0xbe5d, 0x6de4, - 0xbe32, 0x6dca, 0xbe07, 0x6db0, 0xbddc, 0x6d96, 0xbdb1, 0x6d7c, - 0xbd86, 0x6d62, 0xbd5b, 0x6d48, 0xbd30, 0x6d2e, 0xbd05, 0x6d14, - 0xbcda, 0x6cf9, 0xbcaf, 0x6cdf, 0xbc85, 0x6cc4, 0xbc5a, 0x6caa, - 0xbc2f, 0x6c8f, 0xbc05, 0x6c75, 0xbbda, 0x6c5a, 0xbbb0, 0x6c3f, - 0xbb85, 0x6c24, 0xbb5b, 0x6c09, 0xbb30, 0x6bee, 0xbb06, 0x6bd3, - 0xbadc, 0x6bb8, 0xbab1, 0x6b9d, 0xba87, 0x6b82, 0xba5d, 0x6b66, - 0xba33, 0x6b4b, 0xba09, 0x6b30, 0xb9df, 0x6b14, 0xb9b5, 0x6af8, - 0xb98b, 0x6add, 0xb961, 0x6ac1, 0xb937, 0x6aa5, 0xb90d, 0x6a89, - 0xb8e3, 0x6a6e, 0xb8b9, 0x6a52, 0xb890, 0x6a36, 0xb866, 0x6a1a, - 0xb83c, 0x69fd, 0xb813, 0x69e1, 0xb7e9, 0x69c5, 0xb7c0, 0x69a9, - 0xb796, 0x698c, 0xb76d, 0x6970, 0xb743, 0x6953, 0xb71a, 0x6937, - 0xb6f1, 0x691a, 0xb6c7, 0x68fd, 0xb69e, 0x68e0, 0xb675, 0x68c4, - 0xb64c, 0x68a7, 0xb623, 0x688a, 0xb5fa, 0x686d, 0xb5d1, 0x6850, - 0xb5a8, 0x6832, 0xb57f, 0x6815, 0xb556, 0x67f8, 0xb52d, 0x67da, - 0xb505, 0x67bd, 0xb4dc, 0x67a0, 0xb4b3, 0x6782, 0xb48b, 0x6764, - 0xb462, 0x6747, 0xb439, 0x6729, 0xb411, 0x670b, 0xb3e9, 0x66ed, - 0xb3c0, 0x66d0, 0xb398, 0x66b2, 0xb36f, 0x6693, 0xb347, 0x6675, - 0xb31f, 0x6657, 0xb2f7, 0x6639, 0xb2cf, 0x661b, 0xb2a7, 0x65fc, - 0xb27f, 0x65de, 0xb257, 0x65c0, 0xb22f, 0x65a1, 0xb207, 0x6582, - 0xb1df, 0x6564, 0xb1b7, 0x6545, 0xb18f, 0x6526, 0xb168, 0x6507, - 0xb140, 0x64e9, 0xb118, 0x64ca, 0xb0f1, 0x64ab, 0xb0c9, 0x648b, - 0xb0a2, 0x646c, 0xb07b, 0x644d, 0xb053, 0x642e, 0xb02c, 0x640f, - 0xb005, 0x63ef, 0xafdd, 0x63d0, 0xafb6, 0x63b0, 0xaf8f, 0x6391, - 0xaf68, 0x6371, 0xaf41, 0x6351, 0xaf1a, 0x6332, 0xaef3, 0x6312, - 0xaecc, 0x62f2, 0xaea5, 0x62d2, 0xae7f, 0x62b2, 0xae58, 0x6292, - 0xae31, 0x6272, 0xae0b, 0x6252, 0xade4, 0x6232, 0xadbd, 0x6211, - 0xad97, 0x61f1, 0xad70, 0x61d1, 0xad4a, 0x61b0, 0xad24, 0x6190, - 0xacfd, 0x616f, 0xacd7, 0x614e, 0xacb1, 0x612e, 0xac8b, 0x610d, - 0xac65, 0x60ec, 0xac3f, 0x60cb, 0xac19, 0x60aa, 0xabf3, 0x6089, - 0xabcd, 0x6068, 0xaba7, 0x6047, 0xab81, 0x6026, 0xab5c, 0x6005, - 0xab36, 0x5fe4, 0xab10, 0x5fc2, 0xaaeb, 0x5fa1, 0xaac5, 0x5f80, - 0xaaa0, 0x5f5e, 0xaa7a, 0x5f3c, 0xaa55, 0x5f1b, 0xaa30, 0x5ef9, - 0xaa0a, 0x5ed7, 0xa9e5, 0x5eb6, 0xa9c0, 0x5e94, 0xa99b, 0x5e72, - 0xa976, 0x5e50, 0xa951, 0x5e2e, 0xa92c, 0x5e0c, 0xa907, 0x5dea, - 0xa8e2, 0x5dc8, 0xa8bd, 0x5da5, 0xa899, 0x5d83, 0xa874, 0x5d61, - 0xa84f, 0x5d3e, 0xa82b, 0x5d1c, 0xa806, 0x5cf9, 0xa7e2, 0x5cd7, - 0xa7bd, 0x5cb4, 0xa799, 0x5c91, 0xa774, 0x5c6f, 0xa750, 0x5c4c, - 0xa72c, 0x5c29, 0xa708, 0x5c06, 0xa6e4, 0x5be3, 0xa6c0, 0x5bc0, - 0xa69c, 0x5b9d, 0xa678, 0x5b7a, 0xa654, 0x5b57, 0xa630, 0x5b34, - 0xa60c, 0x5b10, 0xa5e8, 0x5aed, 0xa5c5, 0x5ac9, 0xa5a1, 0x5aa6, - 0xa57e, 0x5a82, 0xa55a, 0x5a5f, 0xa537, 0x5a3b, 0xa513, 0x5a18, - 0xa4f0, 0x59f4, 0xa4cc, 0x59d0, 0xa4a9, 0x59ac, 0xa486, 0x5988, - 0xa463, 0x5964, 0xa440, 0x5940, 0xa41d, 0x591c, 0xa3fa, 0x58f8, - 0xa3d7, 0x58d4, 0xa3b4, 0x58b0, 0xa391, 0x588c, 0xa36f, 0x5867, - 0xa34c, 0x5843, 0xa329, 0x581e, 0xa307, 0x57fa, 0xa2e4, 0x57d5, - 0xa2c2, 0x57b1, 0xa29f, 0x578c, 0xa27d, 0x5767, 0xa25b, 0x5743, - 0xa238, 0x571e, 0xa216, 0x56f9, 0xa1f4, 0x56d4, 0xa1d2, 0x56af, - 0xa1b0, 0x568a, 0xa18e, 0x5665, 0xa16c, 0x5640, 0xa14a, 0x561b, - 0xa129, 0x55f6, 0xa107, 0x55d0, 0xa0e5, 0x55ab, 0xa0c4, 0x5586, - 0xa0a2, 0x5560, 0xa080, 0x553b, 0xa05f, 0x5515, 0xa03e, 0x54f0, - 0xa01c, 0x54ca, 0x9ffb, 0x54a4, 0x9fda, 0x547f, 0x9fb9, 0x5459, - 0x9f98, 0x5433, 0x9f77, 0x540d, 0x9f56, 0x53e7, 0x9f35, 0x53c1, - 0x9f14, 0x539b, 0x9ef3, 0x5375, 0x9ed2, 0x534f, 0x9eb2, 0x5329, - 0x9e91, 0x5303, 0x9e70, 0x52dc, 0x9e50, 0x52b6, 0x9e2f, 0x5290, - 0x9e0f, 0x5269, 0x9def, 0x5243, 0x9dce, 0x521c, 0x9dae, 0x51f5, - 0x9d8e, 0x51cf, 0x9d6e, 0x51a8, 0x9d4e, 0x5181, 0x9d2e, 0x515b, - 0x9d0e, 0x5134, 0x9cee, 0x510d, 0x9cce, 0x50e6, 0x9caf, 0x50bf, - 0x9c8f, 0x5098, 0x9c6f, 0x5071, 0x9c50, 0x504a, 0x9c30, 0x5023, - 0x9c11, 0x4ffb, 0x9bf1, 0x4fd4, 0x9bd2, 0x4fad, 0x9bb3, 0x4f85, - 0x9b94, 0x4f5e, 0x9b75, 0x4f37, 0x9b55, 0x4f0f, 0x9b36, 0x4ee8, - 0x9b17, 0x4ec0, 0x9af9, 0x4e98, 0x9ada, 0x4e71, 0x9abb, 0x4e49, - 0x9a9c, 0x4e21, 0x9a7e, 0x4df9, 0x9a5f, 0x4dd1, 0x9a40, 0x4da9, - 0x9a22, 0x4d81, 0x9a04, 0x4d59, 0x99e5, 0x4d31, 0x99c7, 0x4d09, - 0x99a9, 0x4ce1, 0x998b, 0x4cb9, 0x996d, 0x4c91, 0x994e, 0x4c68, - 0x9930, 0x4c40, 0x9913, 0x4c17, 0x98f5, 0x4bef, 0x98d7, 0x4bc7, - 0x98b9, 0x4b9e, 0x989c, 0x4b75, 0x987e, 0x4b4d, 0x9860, 0x4b24, - 0x9843, 0x4afb, 0x9826, 0x4ad3, 0x9808, 0x4aaa, 0x97eb, 0x4a81, - 0x97ce, 0x4a58, 0x97b0, 0x4a2f, 0x9793, 0x4a06, 0x9776, 0x49dd, - 0x9759, 0x49b4, 0x973c, 0x498b, 0x9720, 0x4962, 0x9703, 0x4939, - 0x96e6, 0x490f, 0x96c9, 0x48e6, 0x96ad, 0x48bd, 0x9690, 0x4893, - 0x9674, 0x486a, 0x9657, 0x4840, 0x963b, 0x4817, 0x961f, 0x47ed, - 0x9603, 0x47c4, 0x95e6, 0x479a, 0x95ca, 0x4770, 0x95ae, 0x4747, - 0x9592, 0x471d, 0x9577, 0x46f3, 0x955b, 0x46c9, 0x953f, 0x469f, - 0x9523, 0x4675, 0x9508, 0x464b, 0x94ec, 0x4621, 0x94d0, 0x45f7, - 0x94b5, 0x45cd, 0x949a, 0x45a3, 0x947e, 0x4579, 0x9463, 0x454f, - 0x9448, 0x4524, 0x942d, 0x44fa, 0x9412, 0x44d0, 0x93f7, 0x44a5, - 0x93dc, 0x447b, 0x93c1, 0x4450, 0x93a6, 0x4426, 0x938b, 0x43fb, - 0x9371, 0x43d1, 0x9356, 0x43a6, 0x933c, 0x437b, 0x9321, 0x4351, - 0x9307, 0x4326, 0x92ec, 0x42fb, 0x92d2, 0x42d0, 0x92b8, 0x42a5, - 0x929e, 0x427a, 0x9284, 0x424f, 0x926a, 0x4224, 0x9250, 0x41f9, - 0x9236, 0x41ce, 0x921c, 0x41a3, 0x9202, 0x4178, 0x91e9, 0x414d, - 0x91cf, 0x4121, 0x91b6, 0x40f6, 0x919c, 0x40cb, 0x9183, 0x409f, - 0x9169, 0x4074, 0x9150, 0x4048, 0x9137, 0x401d, 0x911e, 0x3ff1, - 0x9105, 0x3fc6, 0x90ec, 0x3f9a, 0x90d3, 0x3f6f, 0x90ba, 0x3f43, - 0x90a1, 0x3f17, 0x9088, 0x3eec, 0x9070, 0x3ec0, 0x9057, 0x3e94, - 0x903e, 0x3e68, 0x9026, 0x3e3c, 0x900e, 0x3e10, 0x8ff5, 0x3de4, - 0x8fdd, 0x3db8, 0x8fc5, 0x3d8c, 0x8fad, 0x3d60, 0x8f95, 0x3d34, - 0x8f7d, 0x3d08, 0x8f65, 0x3cdc, 0x8f4d, 0x3caf, 0x8f35, 0x3c83, - 0x8f1d, 0x3c57, 0x8f06, 0x3c2a, 0x8eee, 0x3bfe, 0x8ed6, 0x3bd2, - 0x8ebf, 0x3ba5, 0x8ea8, 0x3b79, 0x8e90, 0x3b4c, 0x8e79, 0x3b20, - 0x8e62, 0x3af3, 0x8e4b, 0x3ac6, 0x8e34, 0x3a9a, 0x8e1d, 0x3a6d, - 0x8e06, 0x3a40, 0x8def, 0x3a13, 0x8dd8, 0x39e7, 0x8dc1, 0x39ba, - 0x8dab, 0x398d, 0x8d94, 0x3960, 0x8d7e, 0x3933, 0x8d67, 0x3906, - 0x8d51, 0x38d9, 0x8d3b, 0x38ac, 0x8d24, 0x387f, 0x8d0e, 0x3852, - 0x8cf8, 0x3825, 0x8ce2, 0x37f7, 0x8ccc, 0x37ca, 0x8cb6, 0x379d, - 0x8ca1, 0x3770, 0x8c8b, 0x3742, 0x8c75, 0x3715, 0x8c60, 0x36e8, - 0x8c4a, 0x36ba, 0x8c35, 0x368d, 0x8c1f, 0x365f, 0x8c0a, 0x3632, - 0x8bf5, 0x3604, 0x8bdf, 0x35d7, 0x8bca, 0x35a9, 0x8bb5, 0x357b, - 0x8ba0, 0x354e, 0x8b8b, 0x3520, 0x8b77, 0x34f2, 0x8b62, 0x34c4, - 0x8b4d, 0x3497, 0x8b39, 0x3469, 0x8b24, 0x343b, 0x8b10, 0x340d, - 0x8afb, 0x33df, 0x8ae7, 0x33b1, 0x8ad3, 0x3383, 0x8abe, 0x3355, - 0x8aaa, 0x3327, 0x8a96, 0x32f9, 0x8a82, 0x32cb, 0x8a6e, 0x329d, - 0x8a5a, 0x326e, 0x8a47, 0x3240, 0x8a33, 0x3212, 0x8a1f, 0x31e4, - 0x8a0c, 0x31b5, 0x89f8, 0x3187, 0x89e5, 0x3159, 0x89d2, 0x312a, - 0x89be, 0x30fc, 0x89ab, 0x30cd, 0x8998, 0x309f, 0x8985, 0x3070, - 0x8972, 0x3042, 0x895f, 0x3013, 0x894c, 0x2fe5, 0x8939, 0x2fb6, - 0x8927, 0x2f87, 0x8914, 0x2f59, 0x8902, 0x2f2a, 0x88ef, 0x2efb, - 0x88dd, 0x2ecc, 0x88ca, 0x2e9e, 0x88b8, 0x2e6f, 0x88a6, 0x2e40, - 0x8894, 0x2e11, 0x8882, 0x2de2, 0x8870, 0x2db3, 0x885e, 0x2d84, - 0x884c, 0x2d55, 0x883a, 0x2d26, 0x8828, 0x2cf7, 0x8817, 0x2cc8, - 0x8805, 0x2c99, 0x87f4, 0x2c6a, 0x87e2, 0x2c3b, 0x87d1, 0x2c0c, - 0x87c0, 0x2bdc, 0x87af, 0x2bad, 0x879d, 0x2b7e, 0x878c, 0x2b4f, - 0x877b, 0x2b1f, 0x876b, 0x2af0, 0x875a, 0x2ac1, 0x8749, 0x2a91, - 0x8738, 0x2a62, 0x8728, 0x2a32, 0x8717, 0x2a03, 0x8707, 0x29d3, - 0x86f6, 0x29a4, 0x86e6, 0x2974, 0x86d6, 0x2945, 0x86c6, 0x2915, - 0x86b6, 0x28e5, 0x86a5, 0x28b6, 0x8696, 0x2886, 0x8686, 0x2856, - 0x8676, 0x2827, 0x8666, 0x27f7, 0x8656, 0x27c7, 0x8647, 0x2797, - 0x8637, 0x2768, 0x8628, 0x2738, 0x8619, 0x2708, 0x8609, 0x26d8, - 0x85fa, 0x26a8, 0x85eb, 0x2678, 0x85dc, 0x2648, 0x85cd, 0x2618, - 0x85be, 0x25e8, 0x85af, 0x25b8, 0x85a0, 0x2588, 0x8592, 0x2558, - 0x8583, 0x2528, 0x8574, 0x24f8, 0x8566, 0x24c8, 0x8558, 0x2498, - 0x8549, 0x2467, 0x853b, 0x2437, 0x852d, 0x2407, 0x851f, 0x23d7, - 0x8511, 0x23a7, 0x8503, 0x2376, 0x84f5, 0x2346, 0x84e7, 0x2316, - 0x84d9, 0x22e5, 0x84cc, 0x22b5, 0x84be, 0x2284, 0x84b0, 0x2254, - 0x84a3, 0x2224, 0x8496, 0x21f3, 0x8488, 0x21c3, 0x847b, 0x2192, - 0x846e, 0x2162, 0x8461, 0x2131, 0x8454, 0x2101, 0x8447, 0x20d0, - 0x843a, 0x209f, 0x842d, 0x206f, 0x8421, 0x203e, 0x8414, 0x200e, - 0x8407, 0x1fdd, 0x83fb, 0x1fac, 0x83ef, 0x1f7b, 0x83e2, 0x1f4b, - 0x83d6, 0x1f1a, 0x83ca, 0x1ee9, 0x83be, 0x1eb8, 0x83b2, 0x1e88, - 0x83a6, 0x1e57, 0x839a, 0x1e26, 0x838e, 0x1df5, 0x8382, 0x1dc4, - 0x8377, 0x1d93, 0x836b, 0x1d62, 0x8360, 0x1d31, 0x8354, 0x1d01, - 0x8349, 0x1cd0, 0x833e, 0x1c9f, 0x8332, 0x1c6e, 0x8327, 0x1c3d, - 0x831c, 0x1c0c, 0x8311, 0x1bda, 0x8306, 0x1ba9, 0x82fb, 0x1b78, - 0x82f1, 0x1b47, 0x82e6, 0x1b16, 0x82db, 0x1ae5, 0x82d1, 0x1ab4, - 0x82c6, 0x1a83, 0x82bc, 0x1a51, 0x82b2, 0x1a20, 0x82a8, 0x19ef, - 0x829d, 0x19be, 0x8293, 0x198d, 0x8289, 0x195b, 0x827f, 0x192a, - 0x8276, 0x18f9, 0x826c, 0x18c7, 0x8262, 0x1896, 0x8259, 0x1865, - 0x824f, 0x1833, 0x8246, 0x1802, 0x823c, 0x17d1, 0x8233, 0x179f, - 0x822a, 0x176e, 0x8220, 0x173c, 0x8217, 0x170b, 0x820e, 0x16da, - 0x8205, 0x16a8, 0x81fd, 0x1677, 0x81f4, 0x1645, 0x81eb, 0x1614, - 0x81e2, 0x15e2, 0x81da, 0x15b1, 0x81d1, 0x157f, 0x81c9, 0x154d, - 0x81c1, 0x151c, 0x81b8, 0x14ea, 0x81b0, 0x14b9, 0x81a8, 0x1487, - 0x81a0, 0x1455, 0x8198, 0x1424, 0x8190, 0x13f2, 0x8188, 0x13c1, - 0x8181, 0x138f, 0x8179, 0x135d, 0x8172, 0x132b, 0x816a, 0x12fa, - 0x8163, 0x12c8, 0x815b, 0x1296, 0x8154, 0x1265, 0x814d, 0x1233, - 0x8146, 0x1201, 0x813f, 0x11cf, 0x8138, 0x119e, 0x8131, 0x116c, - 0x812a, 0x113a, 0x8123, 0x1108, 0x811d, 0x10d6, 0x8116, 0x10a4, - 0x8110, 0x1073, 0x8109, 0x1041, 0x8103, 0x100f, 0x80fd, 0xfdd, - 0x80f6, 0xfab, 0x80f0, 0xf79, 0x80ea, 0xf47, 0x80e4, 0xf15, - 0x80de, 0xee4, 0x80d9, 0xeb2, 0x80d3, 0xe80, 0x80cd, 0xe4e, - 0x80c8, 0xe1c, 0x80c2, 0xdea, 0x80bd, 0xdb8, 0x80b7, 0xd86, - 0x80b2, 0xd54, 0x80ad, 0xd22, 0x80a8, 0xcf0, 0x80a3, 0xcbe, - 0x809e, 0xc8c, 0x8099, 0xc5a, 0x8094, 0xc28, 0x808f, 0xbf6, - 0x808b, 0xbc4, 0x8086, 0xb92, 0x8082, 0xb60, 0x807d, 0xb2d, - 0x8079, 0xafb, 0x8075, 0xac9, 0x8070, 0xa97, 0x806c, 0xa65, - 0x8068, 0xa33, 0x8064, 0xa01, 0x8060, 0x9cf, 0x805d, 0x99d, - 0x8059, 0x96b, 0x8055, 0x938, 0x8052, 0x906, 0x804e, 0x8d4, - 0x804b, 0x8a2, 0x8047, 0x870, 0x8044, 0x83e, 0x8041, 0x80c, - 0x803e, 0x7d9, 0x803b, 0x7a7, 0x8038, 0x775, 0x8035, 0x743, - 0x8032, 0x711, 0x802f, 0x6de, 0x802d, 0x6ac, 0x802a, 0x67a, - 0x8027, 0x648, 0x8025, 0x616, 0x8023, 0x5e3, 0x8020, 0x5b1, - 0x801e, 0x57f, 0x801c, 0x54d, 0x801a, 0x51b, 0x8018, 0x4e8, - 0x8016, 0x4b6, 0x8014, 0x484, 0x8013, 0x452, 0x8011, 0x41f, - 0x800f, 0x3ed, 0x800e, 0x3bb, 0x800c, 0x389, 0x800b, 0x356, - 0x800a, 0x324, 0x8009, 0x2f2, 0x8008, 0x2c0, 0x8007, 0x28d, - 0x8006, 0x25b, 0x8005, 0x229, 0x8004, 0x1f7, 0x8003, 0x1c4, - 0x8002, 0x192, 0x8002, 0x160, 0x8001, 0x12e, 0x8001, 0xfb, - 0x8001, 0xc9, 0x8000, 0x97, 0x8000, 0x65, 0x8000, 0x32, - 0x8000, 0x0, 0x8000, 0xffce, 0x8000, 0xff9b, 0x8000, 0xff69, - 0x8001, 0xff37, 0x8001, 0xff05, 0x8001, 0xfed2, 0x8002, 0xfea0, - 0x8002, 0xfe6e, 0x8003, 0xfe3c, 0x8004, 0xfe09, 0x8005, 0xfdd7, - 0x8006, 0xfda5, 0x8007, 0xfd73, 0x8008, 0xfd40, 0x8009, 0xfd0e, - 0x800a, 0xfcdc, 0x800b, 0xfcaa, 0x800c, 0xfc77, 0x800e, 0xfc45, - 0x800f, 0xfc13, 0x8011, 0xfbe1, 0x8013, 0xfbae, 0x8014, 0xfb7c, - 0x8016, 0xfb4a, 0x8018, 0xfb18, 0x801a, 0xfae5, 0x801c, 0xfab3, - 0x801e, 0xfa81, 0x8020, 0xfa4f, 0x8023, 0xfa1d, 0x8025, 0xf9ea, - 0x8027, 0xf9b8, 0x802a, 0xf986, 0x802d, 0xf954, 0x802f, 0xf922, - 0x8032, 0xf8ef, 0x8035, 0xf8bd, 0x8038, 0xf88b, 0x803b, 0xf859, - 0x803e, 0xf827, 0x8041, 0xf7f4, 0x8044, 0xf7c2, 0x8047, 0xf790, - 0x804b, 0xf75e, 0x804e, 0xf72c, 0x8052, 0xf6fa, 0x8055, 0xf6c8, - 0x8059, 0xf695, 0x805d, 0xf663, 0x8060, 0xf631, 0x8064, 0xf5ff, - 0x8068, 0xf5cd, 0x806c, 0xf59b, 0x8070, 0xf569, 0x8075, 0xf537, - 0x8079, 0xf505, 0x807d, 0xf4d3, 0x8082, 0xf4a0, 0x8086, 0xf46e, - 0x808b, 0xf43c, 0x808f, 0xf40a, 0x8094, 0xf3d8, 0x8099, 0xf3a6, - 0x809e, 0xf374, 0x80a3, 0xf342, 0x80a8, 0xf310, 0x80ad, 0xf2de, - 0x80b2, 0xf2ac, 0x80b7, 0xf27a, 0x80bd, 0xf248, 0x80c2, 0xf216, - 0x80c8, 0xf1e4, 0x80cd, 0xf1b2, 0x80d3, 0xf180, 0x80d9, 0xf14e, - 0x80de, 0xf11c, 0x80e4, 0xf0eb, 0x80ea, 0xf0b9, 0x80f0, 0xf087, - 0x80f6, 0xf055, 0x80fd, 0xf023, 0x8103, 0xeff1, 0x8109, 0xefbf, - 0x8110, 0xef8d, 0x8116, 0xef5c, 0x811d, 0xef2a, 0x8123, 0xeef8, - 0x812a, 0xeec6, 0x8131, 0xee94, 0x8138, 0xee62, 0x813f, 0xee31, - 0x8146, 0xedff, 0x814d, 0xedcd, 0x8154, 0xed9b, 0x815b, 0xed6a, - 0x8163, 0xed38, 0x816a, 0xed06, 0x8172, 0xecd5, 0x8179, 0xeca3, - 0x8181, 0xec71, 0x8188, 0xec3f, 0x8190, 0xec0e, 0x8198, 0xebdc, - 0x81a0, 0xebab, 0x81a8, 0xeb79, 0x81b0, 0xeb47, 0x81b8, 0xeb16, - 0x81c1, 0xeae4, 0x81c9, 0xeab3, 0x81d1, 0xea81, 0x81da, 0xea4f, - 0x81e2, 0xea1e, 0x81eb, 0xe9ec, 0x81f4, 0xe9bb, 0x81fd, 0xe989, - 0x8205, 0xe958, 0x820e, 0xe926, 0x8217, 0xe8f5, 0x8220, 0xe8c4, - 0x822a, 0xe892, 0x8233, 0xe861, 0x823c, 0xe82f, 0x8246, 0xe7fe, - 0x824f, 0xe7cd, 0x8259, 0xe79b, 0x8262, 0xe76a, 0x826c, 0xe739, - 0x8276, 0xe707, 0x827f, 0xe6d6, 0x8289, 0xe6a5, 0x8293, 0xe673, - 0x829d, 0xe642, 0x82a8, 0xe611, 0x82b2, 0xe5e0, 0x82bc, 0xe5af, - 0x82c6, 0xe57d, 0x82d1, 0xe54c, 0x82db, 0xe51b, 0x82e6, 0xe4ea, - 0x82f1, 0xe4b9, 0x82fb, 0xe488, 0x8306, 0xe457, 0x8311, 0xe426, - 0x831c, 0xe3f4, 0x8327, 0xe3c3, 0x8332, 0xe392, 0x833e, 0xe361, - 0x8349, 0xe330, 0x8354, 0xe2ff, 0x8360, 0xe2cf, 0x836b, 0xe29e, - 0x8377, 0xe26d, 0x8382, 0xe23c, 0x838e, 0xe20b, 0x839a, 0xe1da, - 0x83a6, 0xe1a9, 0x83b2, 0xe178, 0x83be, 0xe148, 0x83ca, 0xe117, - 0x83d6, 0xe0e6, 0x83e2, 0xe0b5, 0x83ef, 0xe085, 0x83fb, 0xe054, - 0x8407, 0xe023, 0x8414, 0xdff2, 0x8421, 0xdfc2, 0x842d, 0xdf91, - 0x843a, 0xdf61, 0x8447, 0xdf30, 0x8454, 0xdeff, 0x8461, 0xdecf, - 0x846e, 0xde9e, 0x847b, 0xde6e, 0x8488, 0xde3d, 0x8496, 0xde0d, - 0x84a3, 0xdddc, 0x84b0, 0xddac, 0x84be, 0xdd7c, 0x84cc, 0xdd4b, - 0x84d9, 0xdd1b, 0x84e7, 0xdcea, 0x84f5, 0xdcba, 0x8503, 0xdc8a, - 0x8511, 0xdc59, 0x851f, 0xdc29, 0x852d, 0xdbf9, 0x853b, 0xdbc9, - 0x8549, 0xdb99, 0x8558, 0xdb68, 0x8566, 0xdb38, 0x8574, 0xdb08, - 0x8583, 0xdad8, 0x8592, 0xdaa8, 0x85a0, 0xda78, 0x85af, 0xda48, - 0x85be, 0xda18, 0x85cd, 0xd9e8, 0x85dc, 0xd9b8, 0x85eb, 0xd988, - 0x85fa, 0xd958, 0x8609, 0xd928, 0x8619, 0xd8f8, 0x8628, 0xd8c8, - 0x8637, 0xd898, 0x8647, 0xd869, 0x8656, 0xd839, 0x8666, 0xd809, - 0x8676, 0xd7d9, 0x8686, 0xd7aa, 0x8696, 0xd77a, 0x86a5, 0xd74a, - 0x86b6, 0xd71b, 0x86c6, 0xd6eb, 0x86d6, 0xd6bb, 0x86e6, 0xd68c, - 0x86f6, 0xd65c, 0x8707, 0xd62d, 0x8717, 0xd5fd, 0x8728, 0xd5ce, - 0x8738, 0xd59e, 0x8749, 0xd56f, 0x875a, 0xd53f, 0x876b, 0xd510, - 0x877b, 0xd4e1, 0x878c, 0xd4b1, 0x879d, 0xd482, 0x87af, 0xd453, - 0x87c0, 0xd424, 0x87d1, 0xd3f4, 0x87e2, 0xd3c5, 0x87f4, 0xd396, - 0x8805, 0xd367, 0x8817, 0xd338, 0x8828, 0xd309, 0x883a, 0xd2da, - 0x884c, 0xd2ab, 0x885e, 0xd27c, 0x8870, 0xd24d, 0x8882, 0xd21e, - 0x8894, 0xd1ef, 0x88a6, 0xd1c0, 0x88b8, 0xd191, 0x88ca, 0xd162, - 0x88dd, 0xd134, 0x88ef, 0xd105, 0x8902, 0xd0d6, 0x8914, 0xd0a7, - 0x8927, 0xd079, 0x8939, 0xd04a, 0x894c, 0xd01b, 0x895f, 0xcfed, - 0x8972, 0xcfbe, 0x8985, 0xcf90, 0x8998, 0xcf61, 0x89ab, 0xcf33, - 0x89be, 0xcf04, 0x89d2, 0xced6, 0x89e5, 0xcea7, 0x89f8, 0xce79, - 0x8a0c, 0xce4b, 0x8a1f, 0xce1c, 0x8a33, 0xcdee, 0x8a47, 0xcdc0, - 0x8a5a, 0xcd92, 0x8a6e, 0xcd63, 0x8a82, 0xcd35, 0x8a96, 0xcd07, - 0x8aaa, 0xccd9, 0x8abe, 0xccab, 0x8ad3, 0xcc7d, 0x8ae7, 0xcc4f, - 0x8afb, 0xcc21, 0x8b10, 0xcbf3, 0x8b24, 0xcbc5, 0x8b39, 0xcb97, - 0x8b4d, 0xcb69, 0x8b62, 0xcb3c, 0x8b77, 0xcb0e, 0x8b8b, 0xcae0, - 0x8ba0, 0xcab2, 0x8bb5, 0xca85, 0x8bca, 0xca57, 0x8bdf, 0xca29, - 0x8bf5, 0xc9fc, 0x8c0a, 0xc9ce, 0x8c1f, 0xc9a1, 0x8c35, 0xc973, - 0x8c4a, 0xc946, 0x8c60, 0xc918, 0x8c75, 0xc8eb, 0x8c8b, 0xc8be, - 0x8ca1, 0xc890, 0x8cb6, 0xc863, 0x8ccc, 0xc836, 0x8ce2, 0xc809, - 0x8cf8, 0xc7db, 0x8d0e, 0xc7ae, 0x8d24, 0xc781, 0x8d3b, 0xc754, - 0x8d51, 0xc727, 0x8d67, 0xc6fa, 0x8d7e, 0xc6cd, 0x8d94, 0xc6a0, - 0x8dab, 0xc673, 0x8dc1, 0xc646, 0x8dd8, 0xc619, 0x8def, 0xc5ed, - 0x8e06, 0xc5c0, 0x8e1d, 0xc593, 0x8e34, 0xc566, 0x8e4b, 0xc53a, - 0x8e62, 0xc50d, 0x8e79, 0xc4e0, 0x8e90, 0xc4b4, 0x8ea8, 0xc487, - 0x8ebf, 0xc45b, 0x8ed6, 0xc42e, 0x8eee, 0xc402, 0x8f06, 0xc3d6, - 0x8f1d, 0xc3a9, 0x8f35, 0xc37d, 0x8f4d, 0xc351, 0x8f65, 0xc324, - 0x8f7d, 0xc2f8, 0x8f95, 0xc2cc, 0x8fad, 0xc2a0, 0x8fc5, 0xc274, - 0x8fdd, 0xc248, 0x8ff5, 0xc21c, 0x900e, 0xc1f0, 0x9026, 0xc1c4, - 0x903e, 0xc198, 0x9057, 0xc16c, 0x9070, 0xc140, 0x9088, 0xc114, - 0x90a1, 0xc0e9, 0x90ba, 0xc0bd, 0x90d3, 0xc091, 0x90ec, 0xc066, - 0x9105, 0xc03a, 0x911e, 0xc00f, 0x9137, 0xbfe3, 0x9150, 0xbfb8, - 0x9169, 0xbf8c, 0x9183, 0xbf61, 0x919c, 0xbf35, 0x91b6, 0xbf0a, - 0x91cf, 0xbedf, 0x91e9, 0xbeb3, 0x9202, 0xbe88, 0x921c, 0xbe5d, - 0x9236, 0xbe32, 0x9250, 0xbe07, 0x926a, 0xbddc, 0x9284, 0xbdb1, - 0x929e, 0xbd86, 0x92b8, 0xbd5b, 0x92d2, 0xbd30, 0x92ec, 0xbd05, - 0x9307, 0xbcda, 0x9321, 0xbcaf, 0x933c, 0xbc85, 0x9356, 0xbc5a, - 0x9371, 0xbc2f, 0x938b, 0xbc05, 0x93a6, 0xbbda, 0x93c1, 0xbbb0, - 0x93dc, 0xbb85, 0x93f7, 0xbb5b, 0x9412, 0xbb30, 0x942d, 0xbb06, - 0x9448, 0xbadc, 0x9463, 0xbab1, 0x947e, 0xba87, 0x949a, 0xba5d, - 0x94b5, 0xba33, 0x94d0, 0xba09, 0x94ec, 0xb9df, 0x9508, 0xb9b5, - 0x9523, 0xb98b, 0x953f, 0xb961, 0x955b, 0xb937, 0x9577, 0xb90d, - 0x9592, 0xb8e3, 0x95ae, 0xb8b9, 0x95ca, 0xb890, 0x95e6, 0xb866, - 0x9603, 0xb83c, 0x961f, 0xb813, 0x963b, 0xb7e9, 0x9657, 0xb7c0, - 0x9674, 0xb796, 0x9690, 0xb76d, 0x96ad, 0xb743, 0x96c9, 0xb71a, - 0x96e6, 0xb6f1, 0x9703, 0xb6c7, 0x9720, 0xb69e, 0x973c, 0xb675, - 0x9759, 0xb64c, 0x9776, 0xb623, 0x9793, 0xb5fa, 0x97b0, 0xb5d1, - 0x97ce, 0xb5a8, 0x97eb, 0xb57f, 0x9808, 0xb556, 0x9826, 0xb52d, - 0x9843, 0xb505, 0x9860, 0xb4dc, 0x987e, 0xb4b3, 0x989c, 0xb48b, - 0x98b9, 0xb462, 0x98d7, 0xb439, 0x98f5, 0xb411, 0x9913, 0xb3e9, - 0x9930, 0xb3c0, 0x994e, 0xb398, 0x996d, 0xb36f, 0x998b, 0xb347, - 0x99a9, 0xb31f, 0x99c7, 0xb2f7, 0x99e5, 0xb2cf, 0x9a04, 0xb2a7, - 0x9a22, 0xb27f, 0x9a40, 0xb257, 0x9a5f, 0xb22f, 0x9a7e, 0xb207, - 0x9a9c, 0xb1df, 0x9abb, 0xb1b7, 0x9ada, 0xb18f, 0x9af9, 0xb168, - 0x9b17, 0xb140, 0x9b36, 0xb118, 0x9b55, 0xb0f1, 0x9b75, 0xb0c9, - 0x9b94, 0xb0a2, 0x9bb3, 0xb07b, 0x9bd2, 0xb053, 0x9bf1, 0xb02c, - 0x9c11, 0xb005, 0x9c30, 0xafdd, 0x9c50, 0xafb6, 0x9c6f, 0xaf8f, - 0x9c8f, 0xaf68, 0x9caf, 0xaf41, 0x9cce, 0xaf1a, 0x9cee, 0xaef3, - 0x9d0e, 0xaecc, 0x9d2e, 0xaea5, 0x9d4e, 0xae7f, 0x9d6e, 0xae58, - 0x9d8e, 0xae31, 0x9dae, 0xae0b, 0x9dce, 0xade4, 0x9def, 0xadbd, - 0x9e0f, 0xad97, 0x9e2f, 0xad70, 0x9e50, 0xad4a, 0x9e70, 0xad24, - 0x9e91, 0xacfd, 0x9eb2, 0xacd7, 0x9ed2, 0xacb1, 0x9ef3, 0xac8b, - 0x9f14, 0xac65, 0x9f35, 0xac3f, 0x9f56, 0xac19, 0x9f77, 0xabf3, - 0x9f98, 0xabcd, 0x9fb9, 0xaba7, 0x9fda, 0xab81, 0x9ffb, 0xab5c, - 0xa01c, 0xab36, 0xa03e, 0xab10, 0xa05f, 0xaaeb, 0xa080, 0xaac5, - 0xa0a2, 0xaaa0, 0xa0c4, 0xaa7a, 0xa0e5, 0xaa55, 0xa107, 0xaa30, - 0xa129, 0xaa0a, 0xa14a, 0xa9e5, 0xa16c, 0xa9c0, 0xa18e, 0xa99b, - 0xa1b0, 0xa976, 0xa1d2, 0xa951, 0xa1f4, 0xa92c, 0xa216, 0xa907, - 0xa238, 0xa8e2, 0xa25b, 0xa8bd, 0xa27d, 0xa899, 0xa29f, 0xa874, - 0xa2c2, 0xa84f, 0xa2e4, 0xa82b, 0xa307, 0xa806, 0xa329, 0xa7e2, - 0xa34c, 0xa7bd, 0xa36f, 0xa799, 0xa391, 0xa774, 0xa3b4, 0xa750, - 0xa3d7, 0xa72c, 0xa3fa, 0xa708, 0xa41d, 0xa6e4, 0xa440, 0xa6c0, - 0xa463, 0xa69c, 0xa486, 0xa678, 0xa4a9, 0xa654, 0xa4cc, 0xa630, - 0xa4f0, 0xa60c, 0xa513, 0xa5e8, 0xa537, 0xa5c5, 0xa55a, 0xa5a1, - 0xa57e, 0xa57e, 0xa5a1, 0xa55a, 0xa5c5, 0xa537, 0xa5e8, 0xa513, - 0xa60c, 0xa4f0, 0xa630, 0xa4cc, 0xa654, 0xa4a9, 0xa678, 0xa486, - 0xa69c, 0xa463, 0xa6c0, 0xa440, 0xa6e4, 0xa41d, 0xa708, 0xa3fa, - 0xa72c, 0xa3d7, 0xa750, 0xa3b4, 0xa774, 0xa391, 0xa799, 0xa36f, - 0xa7bd, 0xa34c, 0xa7e2, 0xa329, 0xa806, 0xa307, 0xa82b, 0xa2e4, - 0xa84f, 0xa2c2, 0xa874, 0xa29f, 0xa899, 0xa27d, 0xa8bd, 0xa25b, - 0xa8e2, 0xa238, 0xa907, 0xa216, 0xa92c, 0xa1f4, 0xa951, 0xa1d2, - 0xa976, 0xa1b0, 0xa99b, 0xa18e, 0xa9c0, 0xa16c, 0xa9e5, 0xa14a, - 0xaa0a, 0xa129, 0xaa30, 0xa107, 0xaa55, 0xa0e5, 0xaa7a, 0xa0c4, - 0xaaa0, 0xa0a2, 0xaac5, 0xa080, 0xaaeb, 0xa05f, 0xab10, 0xa03e, - 0xab36, 0xa01c, 0xab5c, 0x9ffb, 0xab81, 0x9fda, 0xaba7, 0x9fb9, - 0xabcd, 0x9f98, 0xabf3, 0x9f77, 0xac19, 0x9f56, 0xac3f, 0x9f35, - 0xac65, 0x9f14, 0xac8b, 0x9ef3, 0xacb1, 0x9ed2, 0xacd7, 0x9eb2, - 0xacfd, 0x9e91, 0xad24, 0x9e70, 0xad4a, 0x9e50, 0xad70, 0x9e2f, - 0xad97, 0x9e0f, 0xadbd, 0x9def, 0xade4, 0x9dce, 0xae0b, 0x9dae, - 0xae31, 0x9d8e, 0xae58, 0x9d6e, 0xae7f, 0x9d4e, 0xaea5, 0x9d2e, - 0xaecc, 0x9d0e, 0xaef3, 0x9cee, 0xaf1a, 0x9cce, 0xaf41, 0x9caf, - 0xaf68, 0x9c8f, 0xaf8f, 0x9c6f, 0xafb6, 0x9c50, 0xafdd, 0x9c30, - 0xb005, 0x9c11, 0xb02c, 0x9bf1, 0xb053, 0x9bd2, 0xb07b, 0x9bb3, - 0xb0a2, 0x9b94, 0xb0c9, 0x9b75, 0xb0f1, 0x9b55, 0xb118, 0x9b36, - 0xb140, 0x9b17, 0xb168, 0x9af9, 0xb18f, 0x9ada, 0xb1b7, 0x9abb, - 0xb1df, 0x9a9c, 0xb207, 0x9a7e, 0xb22f, 0x9a5f, 0xb257, 0x9a40, - 0xb27f, 0x9a22, 0xb2a7, 0x9a04, 0xb2cf, 0x99e5, 0xb2f7, 0x99c7, - 0xb31f, 0x99a9, 0xb347, 0x998b, 0xb36f, 0x996d, 0xb398, 0x994e, - 0xb3c0, 0x9930, 0xb3e9, 0x9913, 0xb411, 0x98f5, 0xb439, 0x98d7, - 0xb462, 0x98b9, 0xb48b, 0x989c, 0xb4b3, 0x987e, 0xb4dc, 0x9860, - 0xb505, 0x9843, 0xb52d, 0x9826, 0xb556, 0x9808, 0xb57f, 0x97eb, - 0xb5a8, 0x97ce, 0xb5d1, 0x97b0, 0xb5fa, 0x9793, 0xb623, 0x9776, - 0xb64c, 0x9759, 0xb675, 0x973c, 0xb69e, 0x9720, 0xb6c7, 0x9703, - 0xb6f1, 0x96e6, 0xb71a, 0x96c9, 0xb743, 0x96ad, 0xb76d, 0x9690, - 0xb796, 0x9674, 0xb7c0, 0x9657, 0xb7e9, 0x963b, 0xb813, 0x961f, - 0xb83c, 0x9603, 0xb866, 0x95e6, 0xb890, 0x95ca, 0xb8b9, 0x95ae, - 0xb8e3, 0x9592, 0xb90d, 0x9577, 0xb937, 0x955b, 0xb961, 0x953f, - 0xb98b, 0x9523, 0xb9b5, 0x9508, 0xb9df, 0x94ec, 0xba09, 0x94d0, - 0xba33, 0x94b5, 0xba5d, 0x949a, 0xba87, 0x947e, 0xbab1, 0x9463, - 0xbadc, 0x9448, 0xbb06, 0x942d, 0xbb30, 0x9412, 0xbb5b, 0x93f7, - 0xbb85, 0x93dc, 0xbbb0, 0x93c1, 0xbbda, 0x93a6, 0xbc05, 0x938b, - 0xbc2f, 0x9371, 0xbc5a, 0x9356, 0xbc85, 0x933c, 0xbcaf, 0x9321, - 0xbcda, 0x9307, 0xbd05, 0x92ec, 0xbd30, 0x92d2, 0xbd5b, 0x92b8, - 0xbd86, 0x929e, 0xbdb1, 0x9284, 0xbddc, 0x926a, 0xbe07, 0x9250, - 0xbe32, 0x9236, 0xbe5d, 0x921c, 0xbe88, 0x9202, 0xbeb3, 0x91e9, - 0xbedf, 0x91cf, 0xbf0a, 0x91b6, 0xbf35, 0x919c, 0xbf61, 0x9183, - 0xbf8c, 0x9169, 0xbfb8, 0x9150, 0xbfe3, 0x9137, 0xc00f, 0x911e, - 0xc03a, 0x9105, 0xc066, 0x90ec, 0xc091, 0x90d3, 0xc0bd, 0x90ba, - 0xc0e9, 0x90a1, 0xc114, 0x9088, 0xc140, 0x9070, 0xc16c, 0x9057, - 0xc198, 0x903e, 0xc1c4, 0x9026, 0xc1f0, 0x900e, 0xc21c, 0x8ff5, - 0xc248, 0x8fdd, 0xc274, 0x8fc5, 0xc2a0, 0x8fad, 0xc2cc, 0x8f95, - 0xc2f8, 0x8f7d, 0xc324, 0x8f65, 0xc351, 0x8f4d, 0xc37d, 0x8f35, - 0xc3a9, 0x8f1d, 0xc3d6, 0x8f06, 0xc402, 0x8eee, 0xc42e, 0x8ed6, - 0xc45b, 0x8ebf, 0xc487, 0x8ea8, 0xc4b4, 0x8e90, 0xc4e0, 0x8e79, - 0xc50d, 0x8e62, 0xc53a, 0x8e4b, 0xc566, 0x8e34, 0xc593, 0x8e1d, - 0xc5c0, 0x8e06, 0xc5ed, 0x8def, 0xc619, 0x8dd8, 0xc646, 0x8dc1, - 0xc673, 0x8dab, 0xc6a0, 0x8d94, 0xc6cd, 0x8d7e, 0xc6fa, 0x8d67, - 0xc727, 0x8d51, 0xc754, 0x8d3b, 0xc781, 0x8d24, 0xc7ae, 0x8d0e, - 0xc7db, 0x8cf8, 0xc809, 0x8ce2, 0xc836, 0x8ccc, 0xc863, 0x8cb6, - 0xc890, 0x8ca1, 0xc8be, 0x8c8b, 0xc8eb, 0x8c75, 0xc918, 0x8c60, - 0xc946, 0x8c4a, 0xc973, 0x8c35, 0xc9a1, 0x8c1f, 0xc9ce, 0x8c0a, - 0xc9fc, 0x8bf5, 0xca29, 0x8bdf, 0xca57, 0x8bca, 0xca85, 0x8bb5, - 0xcab2, 0x8ba0, 0xcae0, 0x8b8b, 0xcb0e, 0x8b77, 0xcb3c, 0x8b62, - 0xcb69, 0x8b4d, 0xcb97, 0x8b39, 0xcbc5, 0x8b24, 0xcbf3, 0x8b10, - 0xcc21, 0x8afb, 0xcc4f, 0x8ae7, 0xcc7d, 0x8ad3, 0xccab, 0x8abe, - 0xccd9, 0x8aaa, 0xcd07, 0x8a96, 0xcd35, 0x8a82, 0xcd63, 0x8a6e, - 0xcd92, 0x8a5a, 0xcdc0, 0x8a47, 0xcdee, 0x8a33, 0xce1c, 0x8a1f, - 0xce4b, 0x8a0c, 0xce79, 0x89f8, 0xcea7, 0x89e5, 0xced6, 0x89d2, - 0xcf04, 0x89be, 0xcf33, 0x89ab, 0xcf61, 0x8998, 0xcf90, 0x8985, - 0xcfbe, 0x8972, 0xcfed, 0x895f, 0xd01b, 0x894c, 0xd04a, 0x8939, - 0xd079, 0x8927, 0xd0a7, 0x8914, 0xd0d6, 0x8902, 0xd105, 0x88ef, - 0xd134, 0x88dd, 0xd162, 0x88ca, 0xd191, 0x88b8, 0xd1c0, 0x88a6, - 0xd1ef, 0x8894, 0xd21e, 0x8882, 0xd24d, 0x8870, 0xd27c, 0x885e, - 0xd2ab, 0x884c, 0xd2da, 0x883a, 0xd309, 0x8828, 0xd338, 0x8817, - 0xd367, 0x8805, 0xd396, 0x87f4, 0xd3c5, 0x87e2, 0xd3f4, 0x87d1, - 0xd424, 0x87c0, 0xd453, 0x87af, 0xd482, 0x879d, 0xd4b1, 0x878c, - 0xd4e1, 0x877b, 0xd510, 0x876b, 0xd53f, 0x875a, 0xd56f, 0x8749, - 0xd59e, 0x8738, 0xd5ce, 0x8728, 0xd5fd, 0x8717, 0xd62d, 0x8707, - 0xd65c, 0x86f6, 0xd68c, 0x86e6, 0xd6bb, 0x86d6, 0xd6eb, 0x86c6, - 0xd71b, 0x86b6, 0xd74a, 0x86a5, 0xd77a, 0x8696, 0xd7aa, 0x8686, - 0xd7d9, 0x8676, 0xd809, 0x8666, 0xd839, 0x8656, 0xd869, 0x8647, - 0xd898, 0x8637, 0xd8c8, 0x8628, 0xd8f8, 0x8619, 0xd928, 0x8609, - 0xd958, 0x85fa, 0xd988, 0x85eb, 0xd9b8, 0x85dc, 0xd9e8, 0x85cd, - 0xda18, 0x85be, 0xda48, 0x85af, 0xda78, 0x85a0, 0xdaa8, 0x8592, - 0xdad8, 0x8583, 0xdb08, 0x8574, 0xdb38, 0x8566, 0xdb68, 0x8558, - 0xdb99, 0x8549, 0xdbc9, 0x853b, 0xdbf9, 0x852d, 0xdc29, 0x851f, - 0xdc59, 0x8511, 0xdc8a, 0x8503, 0xdcba, 0x84f5, 0xdcea, 0x84e7, - 0xdd1b, 0x84d9, 0xdd4b, 0x84cc, 0xdd7c, 0x84be, 0xddac, 0x84b0, - 0xdddc, 0x84a3, 0xde0d, 0x8496, 0xde3d, 0x8488, 0xde6e, 0x847b, - 0xde9e, 0x846e, 0xdecf, 0x8461, 0xdeff, 0x8454, 0xdf30, 0x8447, - 0xdf61, 0x843a, 0xdf91, 0x842d, 0xdfc2, 0x8421, 0xdff2, 0x8414, - 0xe023, 0x8407, 0xe054, 0x83fb, 0xe085, 0x83ef, 0xe0b5, 0x83e2, - 0xe0e6, 0x83d6, 0xe117, 0x83ca, 0xe148, 0x83be, 0xe178, 0x83b2, - 0xe1a9, 0x83a6, 0xe1da, 0x839a, 0xe20b, 0x838e, 0xe23c, 0x8382, - 0xe26d, 0x8377, 0xe29e, 0x836b, 0xe2cf, 0x8360, 0xe2ff, 0x8354, - 0xe330, 0x8349, 0xe361, 0x833e, 0xe392, 0x8332, 0xe3c3, 0x8327, - 0xe3f4, 0x831c, 0xe426, 0x8311, 0xe457, 0x8306, 0xe488, 0x82fb, - 0xe4b9, 0x82f1, 0xe4ea, 0x82e6, 0xe51b, 0x82db, 0xe54c, 0x82d1, - 0xe57d, 0x82c6, 0xe5af, 0x82bc, 0xe5e0, 0x82b2, 0xe611, 0x82a8, - 0xe642, 0x829d, 0xe673, 0x8293, 0xe6a5, 0x8289, 0xe6d6, 0x827f, - 0xe707, 0x8276, 0xe739, 0x826c, 0xe76a, 0x8262, 0xe79b, 0x8259, - 0xe7cd, 0x824f, 0xe7fe, 0x8246, 0xe82f, 0x823c, 0xe861, 0x8233, - 0xe892, 0x822a, 0xe8c4, 0x8220, 0xe8f5, 0x8217, 0xe926, 0x820e, - 0xe958, 0x8205, 0xe989, 0x81fd, 0xe9bb, 0x81f4, 0xe9ec, 0x81eb, - 0xea1e, 0x81e2, 0xea4f, 0x81da, 0xea81, 0x81d1, 0xeab3, 0x81c9, - 0xeae4, 0x81c1, 0xeb16, 0x81b8, 0xeb47, 0x81b0, 0xeb79, 0x81a8, - 0xebab, 0x81a0, 0xebdc, 0x8198, 0xec0e, 0x8190, 0xec3f, 0x8188, - 0xec71, 0x8181, 0xeca3, 0x8179, 0xecd5, 0x8172, 0xed06, 0x816a, - 0xed38, 0x8163, 0xed6a, 0x815b, 0xed9b, 0x8154, 0xedcd, 0x814d, - 0xedff, 0x8146, 0xee31, 0x813f, 0xee62, 0x8138, 0xee94, 0x8131, - 0xeec6, 0x812a, 0xeef8, 0x8123, 0xef2a, 0x811d, 0xef5c, 0x8116, - 0xef8d, 0x8110, 0xefbf, 0x8109, 0xeff1, 0x8103, 0xf023, 0x80fd, - 0xf055, 0x80f6, 0xf087, 0x80f0, 0xf0b9, 0x80ea, 0xf0eb, 0x80e4, - 0xf11c, 0x80de, 0xf14e, 0x80d9, 0xf180, 0x80d3, 0xf1b2, 0x80cd, - 0xf1e4, 0x80c8, 0xf216, 0x80c2, 0xf248, 0x80bd, 0xf27a, 0x80b7, - 0xf2ac, 0x80b2, 0xf2de, 0x80ad, 0xf310, 0x80a8, 0xf342, 0x80a3, - 0xf374, 0x809e, 0xf3a6, 0x8099, 0xf3d8, 0x8094, 0xf40a, 0x808f, - 0xf43c, 0x808b, 0xf46e, 0x8086, 0xf4a0, 0x8082, 0xf4d3, 0x807d, - 0xf505, 0x8079, 0xf537, 0x8075, 0xf569, 0x8070, 0xf59b, 0x806c, - 0xf5cd, 0x8068, 0xf5ff, 0x8064, 0xf631, 0x8060, 0xf663, 0x805d, - 0xf695, 0x8059, 0xf6c8, 0x8055, 0xf6fa, 0x8052, 0xf72c, 0x804e, - 0xf75e, 0x804b, 0xf790, 0x8047, 0xf7c2, 0x8044, 0xf7f4, 0x8041, - 0xf827, 0x803e, 0xf859, 0x803b, 0xf88b, 0x8038, 0xf8bd, 0x8035, - 0xf8ef, 0x8032, 0xf922, 0x802f, 0xf954, 0x802d, 0xf986, 0x802a, - 0xf9b8, 0x8027, 0xf9ea, 0x8025, 0xfa1d, 0x8023, 0xfa4f, 0x8020, - 0xfa81, 0x801e, 0xfab3, 0x801c, 0xfae5, 0x801a, 0xfb18, 0x8018, - 0xfb4a, 0x8016, 0xfb7c, 0x8014, 0xfbae, 0x8013, 0xfbe1, 0x8011, - 0xfc13, 0x800f, 0xfc45, 0x800e, 0xfc77, 0x800c, 0xfcaa, 0x800b, - 0xfcdc, 0x800a, 0xfd0e, 0x8009, 0xfd40, 0x8008, 0xfd73, 0x8007, - 0xfda5, 0x8006, 0xfdd7, 0x8005, 0xfe09, 0x8004, 0xfe3c, 0x8003, - 0xfe6e, 0x8002, 0xfea0, 0x8002, 0xfed2, 0x8001, 0xff05, 0x8001, - 0xff37, 0x8001, 0xff69, 0x8000, 0xff9b, 0x8000, 0xffce, 0x8000, -}; - -/** -* @} end of CFFT_CIFFT group -*/ - -/* -* @brief Q15 table for reciprocal -*/ -const q15_t ALIGN4 armRecipTableQ15[64] = { - 0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0, - 0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82, - 0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484, - 0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0, - 0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E, - 0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255, - 0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6, - 0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978, - 0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8, - 0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255, - 0x41CC, 0x4146, 0x40C2, 0x4040 -}; - -/* -* @brief Q31 table for reciprocal -*/ -const q31_t armRecipTableQ31[64] = { - 0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928, - 0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3, - 0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519, - 0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB, - 0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318, - 0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0, - 0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D, - 0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96, - 0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2, - 0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426, - 0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102 -}; - -const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE__16_TABLE_LENGTH] = -{ - //8x2, size 20 - 8,64, 24,72, 16,64, 40,80, 32,64, 56,88, 48,72, 88,104, 72,96, 104,112 -}; - -const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE__32_TABLE_LENGTH] = -{ - //8x4, size 48 - 8,64, 16,128, 24,192, 32,64, 40,72, 48,136, 56,200, 64,128, 72,80, 88,208, - 80,144, 96,192, 104,208, 112,152, 120,216, 136,192, 144,160, 168,208, - 152,224, 176,208, 184,232, 216,240, 200,224, 232,240 -}; - -const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE__64_TABLE_LENGTH] = -{ - //radix 8, size 56 - 8,64, 16,128, 24,192, 32,256, 40,320, 48,384, 56,448, 80,136, 88,200, - 96,264, 104,328, 112,392, 120,456, 152,208, 160,272, 168,336, 176,400, - 184,464, 224,280, 232,344, 240,408, 248,472, 296,352, 304,416, 312,480, - 368,424, 376,488, 440,496 -}; - -const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH] = -{ - //8x2, size 208 - 8,512, 16,64, 24,576, 32,128, 40,640, 48,192, 56,704, 64,256, 72,768, - 80,320, 88,832, 96,384, 104,896, 112,448, 120,960, 128,512, 136,520, - 144,768, 152,584, 160,520, 168,648, 176,200, 184,712, 192,264, 200,776, - 208,328, 216,840, 224,392, 232,904, 240,456, 248,968, 264,528, 272,320, - 280,592, 288,768, 296,656, 304,328, 312,720, 328,784, 344,848, 352,400, - 360,912, 368,464, 376,976, 384,576, 392,536, 400,832, 408,600, 416,584, - 424,664, 432,840, 440,728, 448,592, 456,792, 464,848, 472,856, 480,600, - 488,920, 496,856, 504,984, 520,544, 528,576, 536,608, 552,672, 560,608, - 568,736, 576,768, 584,800, 592,832, 600,864, 608,800, 616,928, 624,864, - 632,992, 648,672, 656,896, 664,928, 688,904, 696,744, 704,896, 712,808, - 720,912, 728,872, 736,928, 744,936, 752,920, 760,1000, 776,800, 784,832, - 792,864, 808,904, 816,864, 824,920, 840,864, 856,880, 872,944, 888,1008, - 904,928, 912,960, 920,992, 944,968, 952,1000, 968,992, 984,1008 -}; - -const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH] = -{ - //8x4, size 440 - 8,512, 16,1024, 24,1536, 32,64, 40,576, 48,1088, 56,1600, 64,128, 72,640, - 80,1152, 88,1664, 96,192, 104,704, 112,1216, 120,1728, 128,256, 136,768, - 144,1280, 152,1792, 160,320, 168,832, 176,1344, 184,1856, 192,384, - 200,896, 208,1408, 216,1920, 224,448, 232,960, 240,1472, 248,1984, - 256,512, 264,520, 272,1032, 280,1544, 288,640, 296,584, 304,1096, 312,1608, - 320,768, 328,648, 336,1160, 344,1672, 352,896, 360,712, 368,1224, 376,1736, - 384,520, 392,776, 400,1288, 408,1800, 416,648, 424,840, 432,1352, 440,1864, - 448,776, 456,904, 464,1416, 472,1928, 480,904, 488,968, 496,1480, 504,1992, - 520,528, 512,1024, 528,1040, 536,1552, 544,1152, 552,592, 560,1104, - 568,1616, 576,1280, 584,656, 592,1168, 600,1680, 608,1408, 616,720, - 624,1232, 632,1744, 640,1032, 648,784, 656,1296, 664,1808, 672,1160, - 680,848, 688,1360, 696,1872, 704,1288, 712,912, 720,1424, 728,1936, - 736,1416, 744,976, 752,1488, 760,2000, 768,1536, 776,1552, 784,1048, - 792,1560, 800,1664, 808,1680, 816,1112, 824,1624, 832,1792, 840,1808, - 848,1176, 856,1688, 864,1920, 872,1936, 880,1240, 888,1752, 896,1544, - 904,1560, 912,1304, 920,1816, 928,1672, 936,1688, 944,1368, 952,1880, - 960,1800, 968,1816, 976,1432, 984,1944, 992,1928, 1000,1944, 1008,1496, - 1016,2008, 1032,1152, 1040,1056, 1048,1568, 1064,1408, 1072,1120, - 1080,1632, 1088,1536, 1096,1160, 1104,1184, 1112,1696, 1120,1552, - 1128,1416, 1136,1248, 1144,1760, 1160,1664, 1168,1312, 1176,1824, - 1184,1544, 1192,1920, 1200,1376, 1208,1888, 1216,1568, 1224,1672, - 1232,1440, 1240,1952, 1248,1560, 1256,1928, 1264,1504, 1272,2016, - 1288,1312, 1296,1408, 1304,1576, 1320,1424, 1328,1416, 1336,1640, - 1344,1792, 1352,1824, 1360,1920, 1368,1704, 1376,1800, 1384,1432, - 1392,1928, 1400,1768, 1416,1680, 1432,1832, 1440,1576, 1448,1936, - 1456,1832, 1464,1896, 1472,1808, 1480,1688, 1488,1936, 1496,1960, - 1504,1816, 1512,1944, 1520,1944, 1528,2024, 1560,1584, 1592,1648, - 1600,1792, 1608,1920, 1616,1800, 1624,1712, 1632,1808, 1640,1936, - 1648,1816, 1656,1776, 1672,1696, 1688,1840, 1704,1952, 1712,1928, - 1720,1904, 1728,1824, 1736,1952, 1744,1832, 1752,1968, 1760,1840, - 1768,1960, 1776,1944, 1784,2032, 1864,1872, 1848,1944, 1872,1888, - 1880,1904, 1888,1984, 1896,2000, 1912,2032, 1904,2016, 1976,2032, - 1960,1968, 2008,2032, 1992,2016, 2024,2032 -}; - -const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH] = -{ - //radix 8, size 448 - 8,512, 16,1024, 24,1536, 32,2048, 40,2560, 48,3072, 56,3584, 72,576, - 80,1088, 88,1600, 96,2112, 104,2624, 112,3136, 120,3648, 136,640, 144,1152, - 152,1664, 160,2176, 168,2688, 176,3200, 184,3712, 200,704, 208,1216, - 216,1728, 224,2240, 232,2752, 240,3264, 248,3776, 264,768, 272,1280, - 280,1792, 288,2304, 296,2816, 304,3328, 312,3840, 328,832, 336,1344, - 344,1856, 352,2368, 360,2880, 368,3392, 376,3904, 392,896, 400,1408, - 408,1920, 416,2432, 424,2944, 432,3456, 440,3968, 456,960, 464,1472, - 472,1984, 480,2496, 488,3008, 496,3520, 504,4032, 528,1032, 536,1544, - 544,2056, 552,2568, 560,3080, 568,3592, 592,1096, 600,1608, 608,2120, - 616,2632, 624,3144, 632,3656, 656,1160, 664,1672, 672,2184, 680,2696, - 688,3208, 696,3720, 720,1224, 728,1736, 736,2248, 744,2760, 752,3272, - 760,3784, 784,1288, 792,1800, 800,2312, 808,2824, 816,3336, 824,3848, - 848,1352, 856,1864, 864,2376, 872,2888, 880,3400, 888,3912, 912,1416, - 920,1928, 928,2440, 936,2952, 944,3464, 952,3976, 976,1480, 984,1992, - 992,2504, 1000,3016, 1008,3528, 1016,4040, 1048,1552, 1056,2064, 1064,2576, - 1072,3088, 1080,3600, 1112,1616, 1120,2128, 1128,2640, 1136,3152, - 1144,3664, 1176,1680, 1184,2192, 1192,2704, 1200,3216, 1208,3728, - 1240,1744, 1248,2256, 1256,2768, 1264,3280, 1272,3792, 1304,1808, - 1312,2320, 1320,2832, 1328,3344, 1336,3856, 1368,1872, 1376,2384, - 1384,2896, 1392,3408, 1400,3920, 1432,1936, 1440,2448, 1448,2960, - 1456,3472, 1464,3984, 1496,2000, 1504,2512, 1512,3024, 1520,3536, - 1528,4048, 1568,2072, 1576,2584, 1584,3096, 1592,3608, 1632,2136, - 1640,2648, 1648,3160, 1656,3672, 1696,2200, 1704,2712, 1712,3224, - 1720,3736, 1760,2264, 1768,2776, 1776,3288, 1784,3800, 1824,2328, - 1832,2840, 1840,3352, 1848,3864, 1888,2392, 1896,2904, 1904,3416, - 1912,3928, 1952,2456, 1960,2968, 1968,3480, 1976,3992, 2016,2520, - 2024,3032, 2032,3544, 2040,4056, 2088,2592, 2096,3104, 2104,3616, - 2152,2656, 2160,3168, 2168,3680, 2216,2720, 2224,3232, 2232,3744, - 2280,2784, 2288,3296, 2296,3808, 2344,2848, 2352,3360, 2360,3872, - 2408,2912, 2416,3424, 2424,3936, 2472,2976, 2480,3488, 2488,4000, - 2536,3040, 2544,3552, 2552,4064, 2608,3112, 2616,3624, 2672,3176, - 2680,3688, 2736,3240, 2744,3752, 2800,3304, 2808,3816, 2864,3368, - 2872,3880, 2928,3432, 2936,3944, 2992,3496, 3000,4008, 3056,3560, - 3064,4072, 3128,3632, 3192,3696, 3256,3760, 3320,3824, 3384,3888, - 3448,3952, 3512,4016, 3576,4080 -}; - -const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE1024_TABLE_LENGTH] = -{ - //8x2, size 1800 - 8,4096, 16,512, 24,4608, 32,1024, 40,5120, 48,1536, 56,5632, 64,2048, - 72,6144, 80,2560, 88,6656, 96,3072, 104,7168, 112,3584, 120,7680, 128,2048, - 136,4160, 144,576, 152,4672, 160,1088, 168,5184, 176,1600, 184,5696, - 192,2112, 200,6208, 208,2624, 216,6720, 224,3136, 232,7232, 240,3648, - 248,7744, 256,2048, 264,4224, 272,640, 280,4736, 288,1152, 296,5248, - 304,1664, 312,5760, 320,2176, 328,6272, 336,2688, 344,6784, 352,3200, - 360,7296, 368,3712, 376,7808, 384,2112, 392,4288, 400,704, 408,4800, - 416,1216, 424,5312, 432,1728, 440,5824, 448,2240, 456,6336, 464,2752, - 472,6848, 480,3264, 488,7360, 496,3776, 504,7872, 512,2048, 520,4352, - 528,768, 536,4864, 544,1280, 552,5376, 560,1792, 568,5888, 576,2304, - 584,6400, 592,2816, 600,6912, 608,3328, 616,7424, 624,3840, 632,7936, - 640,2176, 648,4416, 656,832, 664,4928, 672,1344, 680,5440, 688,1856, - 696,5952, 704,2368, 712,6464, 720,2880, 728,6976, 736,3392, 744,7488, - 752,3904, 760,8000, 768,2112, 776,4480, 784,896, 792,4992, 800,1408, - 808,5504, 816,1920, 824,6016, 832,2432, 840,6528, 848,2944, 856,7040, - 864,3456, 872,7552, 880,3968, 888,8064, 896,2240, 904,4544, 912,960, - 920,5056, 928,1472, 936,5568, 944,1984, 952,6080, 960,2496, 968,6592, - 976,3008, 984,7104, 992,3520, 1000,7616, 1008,4032, 1016,8128, 1024,4096, - 1032,4104, 1040,4352, 1048,4616, 1056,4104, 1064,5128, 1072,1544, - 1080,5640, 1088,2056, 1096,6152, 1104,2568, 1112,6664, 1120,3080, - 1128,7176, 1136,3592, 1144,7688, 1152,6144, 1160,4168, 1168,6400, - 1176,4680, 1184,6152, 1192,5192, 1200,1608, 1208,5704, 1216,2120, - 1224,6216, 1232,2632, 1240,6728, 1248,3144, 1256,7240, 1264,3656, - 1272,7752, 1280,4160, 1288,4232, 1296,4416, 1304,4744, 1312,4168, - 1320,5256, 1328,1672, 1336,5768, 1344,2184, 1352,6280, 1360,2696, - 1368,6792, 1376,3208, 1384,7304, 1392,3720, 1400,7816, 1408,6208, - 1416,4296, 1424,6464, 1432,4808, 1440,6216, 1448,5320, 1456,1736, - 1464,5832, 1472,2248, 1480,6344, 1488,2760, 1496,6856, 1504,3272, - 1512,7368, 1520,3784, 1528,7880, 1536,4224, 1544,4360, 1552,4480, - 1560,4872, 1568,4232, 1576,5384, 1584,1800, 1592,5896, 1600,2312, - 1608,6408, 1616,2824, 1624,6920, 1632,3336, 1640,7432, 1648,3848, - 1656,7944, 1664,6272, 1672,4424, 1680,6528, 1688,4936, 1696,6280, - 1704,5448, 1712,1864, 1720,5960, 1728,2376, 1736,6472, 1744,2888, - 1752,6984, 1760,3400, 1768,7496, 1776,3912, 1784,8008, 1792,4288, - 1800,4488, 1808,4544, 1816,5000, 1824,4296, 1832,5512, 1840,1928, - 1848,6024, 1856,2440, 1864,6536, 1872,2952, 1880,7048, 1888,3464, - 1896,7560, 1904,3976, 1912,8072, 1920,6336, 1928,4552, 1936,6592, - 1944,5064, 1952,6344, 1960,5576, 1968,1992, 1976,6088, 1984,2504, - 1992,6600, 2000,3016, 2008,7112, 2016,3528, 2024,7624, 2032,4040, - 2040,8136, 2056,4112, 2064,2112, 2072,4624, 2080,4352, 2088,5136, - 2096,4480, 2104,5648, 2120,6160, 2128,2576, 2136,6672, 2144,3088, - 2152,7184, 2160,3600, 2168,7696, 2176,2560, 2184,4176, 2192,2816, - 2200,4688, 2208,2568, 2216,5200, 2224,2824, 2232,5712, 2240,2576, - 2248,6224, 2256,2640, 2264,6736, 2272,3152, 2280,7248, 2288,3664, - 2296,7760, 2312,4240, 2320,2432, 2328,4752, 2336,6400, 2344,5264, - 2352,6528, 2360,5776, 2368,2816, 2376,6288, 2384,2704, 2392,6800, - 2400,3216, 2408,7312, 2416,3728, 2424,7824, 2432,2624, 2440,4304, - 2448,2880, 2456,4816, 2464,2632, 2472,5328, 2480,2888, 2488,5840, - 2496,2640, 2504,6352, 2512,2768, 2520,6864, 2528,3280, 2536,7376, - 2544,3792, 2552,7888, 2568,4368, 2584,4880, 2592,4416, 2600,5392, - 2608,4544, 2616,5904, 2632,6416, 2640,2832, 2648,6928, 2656,3344, - 2664,7440, 2672,3856, 2680,7952, 2696,4432, 2704,2944, 2712,4944, - 2720,4432, 2728,5456, 2736,2952, 2744,5968, 2752,2944, 2760,6480, - 2768,2896, 2776,6992, 2784,3408, 2792,7504, 2800,3920, 2808,8016, - 2824,4496, 2840,5008, 2848,6464, 2856,5520, 2864,6592, 2872,6032, - 2888,6544, 2896,2960, 2904,7056, 2912,3472, 2920,7568, 2928,3984, - 2936,8080, 2952,4560, 2960,3008, 2968,5072, 2976,6480, 2984,5584, - 2992,3016, 3000,6096, 3016,6608, 3032,7120, 3040,3536, 3048,7632, - 3056,4048, 3064,8144, 3072,4608, 3080,4120, 3088,4864, 3096,4632, - 3104,4616, 3112,5144, 3120,4872, 3128,5656, 3136,4624, 3144,6168, - 3152,4880, 3160,6680, 3168,4632, 3176,7192, 3184,3608, 3192,7704, - 3200,6656, 3208,4184, 3216,6912, 3224,4696, 3232,6664, 3240,5208, - 3248,6920, 3256,5720, 3264,6672, 3272,6232, 3280,6928, 3288,6744, - 3296,6680, 3304,7256, 3312,3672, 3320,7768, 3328,4672, 3336,4248, - 3344,4928, 3352,4760, 3360,4680, 3368,5272, 3376,4936, 3384,5784, - 3392,4688, 3400,6296, 3408,4944, 3416,6808, 3424,4696, 3432,7320, - 3440,3736, 3448,7832, 3456,6720, 3464,4312, 3472,6976, 3480,4824, - 3488,6728, 3496,5336, 3504,6984, 3512,5848, 3520,6736, 3528,6360, - 3536,6992, 3544,6872, 3552,6744, 3560,7384, 3568,3800, 3576,7896, - 3584,4736, 3592,4376, 3600,4992, 3608,4888, 3616,4744, 3624,5400, - 3632,5000, 3640,5912, 3648,4752, 3656,6424, 3664,5008, 3672,6936, - 3680,4760, 3688,7448, 3696,3864, 3704,7960, 3712,6784, 3720,4440, - 3728,7040, 3736,4952, 3744,6792, 3752,5464, 3760,7048, 3768,5976, - 3776,6800, 3784,6488, 3792,7056, 3800,7000, 3808,6808, 3816,7512, - 3824,3928, 3832,8024, 3840,4800, 3848,4504, 3856,5056, 3864,5016, - 3872,4808, 3880,5528, 3888,5064, 3896,6040, 3904,4816, 3912,6552, - 3920,5072, 3928,7064, 3936,4824, 3944,7576, 3952,3992, 3960,8088, - 3968,6848, 3976,4568, 3984,7104, 3992,5080, 4000,6856, 4008,5592, - 4016,7112, 4024,6104, 4032,6864, 4040,6616, 4048,7120, 4056,7128, - 4064,6872, 4072,7640, 4080,7128, 4088,8152, 4104,4128, 4112,4160, - 4120,4640, 4136,5152, 4144,4232, 4152,5664, 4160,4352, 4168,6176, - 4176,4416, 4184,6688, 4192,4616, 4200,7200, 4208,4744, 4216,7712, - 4224,4608, 4232,4616, 4240,4672, 4248,4704, 4256,4640, 4264,5216, - 4272,4704, 4280,5728, 4288,4864, 4296,6240, 4304,4928, 4312,6752, - 4320,4632, 4328,7264, 4336,4760, 4344,7776, 4360,4640, 4368,4416, - 4376,4768, 4384,6152, 4392,5280, 4400,6280, 4408,5792, 4424,6304, - 4440,6816, 4448,6664, 4456,7328, 4464,6792, 4472,7840, 4480,4624, - 4488,4632, 4496,4688, 4504,4832, 4512,6168, 4520,5344, 4528,6296, - 4536,5856, 4544,4880, 4552,6368, 4560,4944, 4568,6880, 4576,6680, - 4584,7392, 4592,6808, 4600,7904, 4608,6144, 4616,6152, 4624,6208, - 4632,4896, 4640,6176, 4648,5408, 4656,6240, 4664,5920, 4672,6400, - 4680,6432, 4688,6464, 4696,6944, 4704,6432, 4712,7456, 4720,4808, - 4728,7968, 4736,6656, 4744,6664, 4752,6720, 4760,4960, 4768,6688, - 4776,5472, 4784,6752, 4792,5984, 4800,6912, 4808,6496, 4816,6976, - 4824,7008, 4832,6944, 4840,7520, 4848,7008, 4856,8032, 4864,6160, - 4872,6168, 4880,6224, 4888,5024, 4896,6216, 4904,5536, 4912,6344, - 4920,6048, 4928,6416, 4936,6560, 4944,6480, 4952,7072, 4960,6728, - 4968,7584, 4976,6856, 4984,8096, 4992,6672, 5000,6680, 5008,6736, - 5016,5088, 5024,6232, 5032,5600, 5040,6360, 5048,6112, 5056,6928, - 5064,6624, 5072,6992, 5080,7136, 5088,6744, 5096,7648, 5104,6872, - 5112,8160, 5128,5152, 5136,5376, 5144,5408, 5168,5384, 5176,5672, - 5184,5376, 5192,6184, 5200,5392, 5208,6696, 5216,5408, 5224,7208, - 5232,5400, 5240,7720, 5248,7168, 5256,7200, 5264,7424, 5272,7456, - 5280,7176, 5288,7208, 5296,7432, 5304,5736, 5312,7184, 5320,6248, - 5328,7440, 5336,6760, 5344,7192, 5352,7272, 5360,7448, 5368,7784, - 5384,5408, 5392,5440, 5400,5472, 5408,6184, 5416,7208, 5424,5448, - 5432,5800, 5448,6312, 5464,6824, 5472,6696, 5480,7336, 5488,6824, - 5496,7848, 5504,7232, 5512,7264, 5520,7488, 5528,7520, 5536,7240, - 5544,7272, 5552,7496, 5560,5864, 5568,7248, 5576,6376, 5584,7504, - 5592,6888, 5600,7256, 5608,7400, 5616,7512, 5624,7912, 5632,7168, - 5640,7176, 5648,7232, 5656,7240, 5664,7200, 5672,7208, 5680,7264, - 5688,5928, 5696,7424, 5704,6440, 5712,7488, 5720,6952, 5728,7456, - 5736,7464, 5744,7520, 5752,7976, 5760,7296, 5768,7328, 5776,7552, - 5784,7584, 5792,7304, 5800,7336, 5808,7560, 5816,5992, 5824,7312, - 5832,6504, 5840,7568, 5848,7016, 5856,7320, 5864,7528, 5872,7576, - 5880,8040, 5888,7184, 5896,7192, 5904,7248, 5912,7256, 5920,6248, - 5928,7272, 5936,6376, 5944,6056, 5952,7440, 5960,6568, 5968,7504, - 5976,7080, 5984,6760, 5992,7592, 6000,6888, 6008,8104, 6016,7360, - 6024,7392, 6032,7616, 6040,7648, 6048,7368, 6056,7400, 6064,7624, - 6072,6120, 6080,7376, 6088,6632, 6096,7632, 6104,7144, 6112,7384, - 6120,7656, 6128,7640, 6136,8168, 6168,6240, 6192,6216, 6200,7264, - 6232,6704, 6248,7216, 6256,6680, 6264,7728, 6272,6656, 6280,6664, - 6288,6912, 6296,6496, 6304,6688, 6312,6696, 6320,6944, 6328,7520, - 6336,6672, 6344,6680, 6352,6928, 6360,6768, 6368,6704, 6376,7280, - 6384,6744, 6392,7792, 6408,6432, 6424,6752, 6440,7432, 6448,6536, - 6456,7560, 6472,6944, 6488,6832, 6496,6920, 6504,7344, 6512,7048, - 6520,7856, 6528,6720, 6536,6728, 6544,6976, 6552,7008, 6560,6752, - 6568,7448, 6576,7008, 6584,7576, 6592,6736, 6600,6744, 6608,6992, - 6616,6896, 6624,6936, 6632,7408, 6640,7064, 6648,7920, 6712,7280, - 6744,6960, 6760,7472, 6768,6936, 6776,7984, 6800,6848, 6808,6856, - 6832,6880, 6840,6888, 6848,7040, 6856,7048, 6864,7104, 6872,7024, - 6880,7072, 6888,7536, 6896,7136, 6904,8048, 6952,7496, 6968,7624, - 6984,7008, 7000,7088, 7016,7600, 7024,7112, 7032,8112, 7056,7104, - 7064,7112, 7080,7512, 7088,7136, 7096,7640, 7128,7152, 7144,7664, - 7160,8176, 7176,7200, 7192,7216, 7224,7272, 7240,7264, 7256,7280, - 7288,7736, 7296,7680, 7304,7712, 7312,7936, 7320,7968, 7328,7688, - 7336,7720, 7344,7944, 7352,7976, 7360,7696, 7368,7728, 7376,7952, - 7384,7984, 7392,7704, 7400,7736, 7408,7960, 7416,7800, 7432,7456, - 7448,7472, 7480,7592, 7496,7520, 7512,7536, 7528,7976, 7544,7864, - 7552,7744, 7560,7776, 7568,8000, 7576,8032, 7584,7752, 7592,7784, - 7600,8008, 7608,8040, 7616,7760, 7624,7792, 7632,8016, 7640,8048, - 7648,7768, 7656,7800, 7664,8024, 7672,7928, 7688,7712, 7704,7728, - 7752,7776, 7768,7792, 7800,7992, 7816,7840, 7824,8064, 7832,8096, - 7856,8072, 7864,8104, 7872,8064, 7880,8072, 7888,8080, 7896,8112, - 7904,8096, 7912,8104, 7920,8088, 7928,8056, 7944,7968, 7960,7984, - 8008,8032, 8024,8048, 8056,8120, 8072,8096, 8080,8128, 8088,8160, - 8112,8136, 8120,8168, 8136,8160, 8152,8176 -}; - -const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE2048_TABLE_LENGTH] = -{ - //8x2, size 3808 - 8,4096, 16,8192, 24,12288, 32,512, 40,4608, 48,8704, 56,12800, 64,1024, - 72,5120, 80,9216, 88,13312, 96,1536, 104,5632, 112,9728, 120,13824, - 128,2048, 136,6144, 144,10240, 152,14336, 160,2560, 168,6656, 176,10752, - 184,14848, 192,3072, 200,7168, 208,11264, 216,15360, 224,3584, 232,7680, - 240,11776, 248,15872, 256,1024, 264,4160, 272,8256, 280,12352, 288,576, - 296,4672, 304,8768, 312,12864, 320,1088, 328,5184, 336,9280, 344,13376, - 352,1600, 360,5696, 368,9792, 376,13888, 384,2112, 392,6208, 400,10304, - 408,14400, 416,2624, 424,6720, 432,10816, 440,14912, 448,3136, 456,7232, - 464,11328, 472,15424, 480,3648, 488,7744, 496,11840, 504,15936, 512,2048, - 520,4224, 528,8320, 536,12416, 544,640, 552,4736, 560,8832, 568,12928, - 576,1152, 584,5248, 592,9344, 600,13440, 608,1664, 616,5760, 624,9856, - 632,13952, 640,2176, 648,6272, 656,10368, 664,14464, 672,2688, 680,6784, - 688,10880, 696,14976, 704,3200, 712,7296, 720,11392, 728,15488, 736,3712, - 744,7808, 752,11904, 760,16000, 768,3072, 776,4288, 784,8384, 792,12480, - 800,3200, 808,4800, 816,8896, 824,12992, 832,1216, 840,5312, 848,9408, - 856,13504, 864,1728, 872,5824, 880,9920, 888,14016, 896,2240, 904,6336, - 912,10432, 920,14528, 928,2752, 936,6848, 944,10944, 952,15040, 960,3264, - 968,7360, 976,11456, 984,15552, 992,3776, 1000,7872, 1008,11968, 1016,16064, - 1032,4352, 1040,8448, 1048,12544, 1056,3072, 1064,4864, 1072,8960, - 1080,13056, 1088,1280, 1096,5376, 1104,9472, 1112,13568, 1120,1792, - 1128,5888, 1136,9984, 1144,14080, 1152,2304, 1160,6400, 1168,10496, - 1176,14592, 1184,2816, 1192,6912, 1200,11008, 1208,15104, 1216,3328, - 1224,7424, 1232,11520, 1240,15616, 1248,3840, 1256,7936, 1264,12032, - 1272,16128, 1288,4416, 1296,8512, 1304,12608, 1312,3328, 1320,4928, - 1328,9024, 1336,13120, 1352,5440, 1360,9536, 1368,13632, 1376,1856, - 1384,5952, 1392,10048, 1400,14144, 1408,2368, 1416,6464, 1424,10560, - 1432,14656, 1440,2880, 1448,6976, 1456,11072, 1464,15168, 1472,3392, - 1480,7488, 1488,11584, 1496,15680, 1504,3904, 1512,8000, 1520,12096, - 1528,16192, 1536,2112, 1544,4480, 1552,8576, 1560,12672, 1568,2240, - 1576,4992, 1584,9088, 1592,13184, 1600,2368, 1608,5504, 1616,9600, - 1624,13696, 1632,1920, 1640,6016, 1648,10112, 1656,14208, 1664,2432, - 1672,6528, 1680,10624, 1688,14720, 1696,2944, 1704,7040, 1712,11136, - 1720,15232, 1728,3456, 1736,7552, 1744,11648, 1752,15744, 1760,3968, - 1768,8064, 1776,12160, 1784,16256, 1792,3136, 1800,4544, 1808,8640, - 1816,12736, 1824,3264, 1832,5056, 1840,9152, 1848,13248, 1856,3392, - 1864,5568, 1872,9664, 1880,13760, 1888,1984, 1896,6080, 1904,10176, - 1912,14272, 1920,2496, 1928,6592, 1936,10688, 1944,14784, 1952,3008, - 1960,7104, 1968,11200, 1976,15296, 1984,3520, 1992,7616, 2000,11712, - 2008,15808, 2016,4032, 2024,8128, 2032,12224, 2040,16320, 2048,4096, - 2056,4104, 2064,8200, 2072,12296, 2080,4224, 2088,4616, 2096,8712, - 2104,12808, 2112,4352, 2120,5128, 2128,9224, 2136,13320, 2144,4480, - 2152,5640, 2160,9736, 2168,13832, 2176,4104, 2184,6152, 2192,10248, - 2200,14344, 2208,2568, 2216,6664, 2224,10760, 2232,14856, 2240,3080, - 2248,7176, 2256,11272, 2264,15368, 2272,3592, 2280,7688, 2288,11784, - 2296,15880, 2304,5120, 2312,4168, 2320,8264, 2328,12360, 2336,5248, - 2344,4680, 2352,8776, 2360,12872, 2368,5376, 2376,5192, 2384,9288, - 2392,13384, 2400,5504, 2408,5704, 2416,9800, 2424,13896, 2432,5128, - 2440,6216, 2448,10312, 2456,14408, 2464,2632, 2472,6728, 2480,10824, - 2488,14920, 2496,3144, 2504,7240, 2512,11336, 2520,15432, 2528,3656, - 2536,7752, 2544,11848, 2552,15944, 2560,6144, 2568,4232, 2576,8328, - 2584,12424, 2592,6272, 2600,4744, 2608,8840, 2616,12936, 2624,6400, - 2632,5256, 2640,9352, 2648,13448, 2656,6528, 2664,5768, 2672,9864, - 2680,13960, 2688,6152, 2696,6280, 2704,10376, 2712,14472, 2720,6280, - 2728,6792, 2736,10888, 2744,14984, 2752,3208, 2760,7304, 2768,11400, - 2776,15496, 2784,3720, 2792,7816, 2800,11912, 2808,16008, 2816,7168, - 2824,4296, 2832,8392, 2840,12488, 2848,7296, 2856,4808, 2864,8904, - 2872,13000, 2880,7424, 2888,5320, 2896,9416, 2904,13512, 2912,7552, - 2920,5832, 2928,9928, 2936,14024, 2944,7176, 2952,6344, 2960,10440, - 2968,14536, 2976,7304, 2984,6856, 2992,10952, 3000,15048, 3008,3272, - 3016,7368, 3024,11464, 3032,15560, 3040,3784, 3048,7880, 3056,11976, - 3064,16072, 3072,4160, 3080,4360, 3088,8456, 3096,12552, 3104,4288, - 3112,4872, 3120,8968, 3128,13064, 3136,4416, 3144,5384, 3152,9480, - 3160,13576, 3168,4544, 3176,5896, 3184,9992, 3192,14088, 3200,4168, - 3208,6408, 3216,10504, 3224,14600, 3232,4296, 3240,6920, 3248,11016, - 3256,15112, 3264,3336, 3272,7432, 3280,11528, 3288,15624, 3296,3848, - 3304,7944, 3312,12040, 3320,16136, 3328,5184, 3336,4424, 3344,8520, - 3352,12616, 3360,5312, 3368,4936, 3376,9032, 3384,13128, 3392,5440, - 3400,5448, 3408,9544, 3416,13640, 3424,5568, 3432,5960, 3440,10056, - 3448,14152, 3456,5192, 3464,6472, 3472,10568, 3480,14664, 3488,5320, - 3496,6984, 3504,11080, 3512,15176, 3520,5448, 3528,7496, 3536,11592, - 3544,15688, 3552,3912, 3560,8008, 3568,12104, 3576,16200, 3584,6208, - 3592,4488, 3600,8584, 3608,12680, 3616,6336, 3624,5000, 3632,9096, - 3640,13192, 3648,6464, 3656,5512, 3664,9608, 3672,13704, 3680,6592, - 3688,6024, 3696,10120, 3704,14216, 3712,6216, 3720,6536, 3728,10632, - 3736,14728, 3744,6344, 3752,7048, 3760,11144, 3768,15240, 3776,6472, - 3784,7560, 3792,11656, 3800,15752, 3808,3976, 3816,8072, 3824,12168, - 3832,16264, 3840,7232, 3848,4552, 3856,8648, 3864,12744, 3872,7360, - 3880,5064, 3888,9160, 3896,13256, 3904,7488, 3912,5576, 3920,9672, - 3928,13768, 3936,7616, 3944,6088, 3952,10184, 3960,14280, 3968,7240, - 3976,6600, 3984,10696, 3992,14792, 4000,7368, 4008,7112, 4016,11208, - 4024,15304, 4032,7496, 4040,7624, 4048,11720, 4056,15816, 4064,7624, - 4072,8136, 4080,12232, 4088,16328, 4096,8192, 4104,4112, 4112,8208, - 4120,12304, 4128,8320, 4136,4624, 4144,8720, 4152,12816, 4160,8448, - 4168,5136, 4176,9232, 4184,13328, 4192,8576, 4200,5648, 4208,9744, - 4216,13840, 4224,8200, 4232,6160, 4240,10256, 4248,14352, 4256,8328, - 4264,6672, 4272,10768, 4280,14864, 4288,8456, 4296,7184, 4304,11280, - 4312,15376, 4320,8584, 4328,7696, 4336,11792, 4344,15888, 4352,9216, - 4360,9232, 4368,8272, 4376,12368, 4384,9344, 4392,4688, 4400,8784, - 4408,12880, 4416,9472, 4424,5200, 4432,9296, 4440,13392, 4448,9600, - 4456,5712, 4464,9808, 4472,13904, 4480,9224, 4488,6224, 4496,10320, - 4504,14416, 4512,9352, 4520,6736, 4528,10832, 4536,14928, 4544,9480, - 4552,7248, 4560,11344, 4568,15440, 4576,9608, 4584,7760, 4592,11856, - 4600,15952, 4608,10240, 4616,10256, 4624,8336, 4632,12432, 4640,10368, - 4648,4752, 4656,8848, 4664,12944, 4672,10496, 4680,5264, 4688,9360, - 4696,13456, 4704,10624, 4712,5776, 4720,9872, 4728,13968, 4736,10248, - 4744,6288, 4752,10384, 4760,14480, 4768,10376, 4776,6800, 4784,10896, - 4792,14992, 4800,10504, 4808,7312, 4816,11408, 4824,15504, 4832,10632, - 4840,7824, 4848,11920, 4856,16016, 4864,11264, 4872,11280, 4880,8400, - 4888,12496, 4896,11392, 4904,11408, 4912,8912, 4920,13008, 4928,11520, - 4936,5328, 4944,9424, 4952,13520, 4960,11648, 4968,5840, 4976,9936, - 4984,14032, 4992,11272, 5000,6352, 5008,10448, 5016,14544, 5024,11400, - 5032,6864, 5040,10960, 5048,15056, 5056,11528, 5064,7376, 5072,11472, - 5080,15568, 5088,11656, 5096,7888, 5104,11984, 5112,16080, 5120,8256, - 5128,8272, 5136,8464, 5144,12560, 5152,8384, 5160,8400, 5168,8976, - 5176,13072, 5184,8512, 5192,5392, 5200,9488, 5208,13584, 5216,8640, - 5224,5904, 5232,10000, 5240,14096, 5248,8264, 5256,6416, 5264,10512, - 5272,14608, 5280,8392, 5288,6928, 5296,11024, 5304,15120, 5312,8520, - 5320,7440, 5328,11536, 5336,15632, 5344,8648, 5352,7952, 5360,12048, - 5368,16144, 5376,9280, 5384,9296, 5392,8528, 5400,12624, 5408,9408, - 5416,9424, 5424,9040, 5432,13136, 5440,9536, 5448,5456, 5456,9552, - 5464,13648, 5472,9664, 5480,5968, 5488,10064, 5496,14160, 5504,9288, - 5512,6480, 5520,10576, 5528,14672, 5536,9416, 5544,6992, 5552,11088, - 5560,15184, 5568,9544, 5576,7504, 5584,11600, 5592,15696, 5600,9672, - 5608,8016, 5616,12112, 5624,16208, 5632,10304, 5640,10320, 5648,8592, - 5656,12688, 5664,10432, 5672,10448, 5680,9104, 5688,13200, 5696,10560, - 5704,10576, 5712,9616, 5720,13712, 5728,10688, 5736,6032, 5744,10128, - 5752,14224, 5760,10312, 5768,6544, 5776,10640, 5784,14736, 5792,10440, - 5800,7056, 5808,11152, 5816,15248, 5824,10568, 5832,7568, 5840,11664, - 5848,15760, 5856,10696, 5864,8080, 5872,12176, 5880,16272, 5888,11328, - 5896,11344, 5904,8656, 5912,12752, 5920,11456, 5928,11472, 5936,9168, - 5944,13264, 5952,11584, 5960,11600, 5968,9680, 5976,13776, 5984,11712, - 5992,6096, 6000,10192, 6008,14288, 6016,11336, 6024,6608, 6032,10704, - 6040,14800, 6048,11464, 6056,7120, 6064,11216, 6072,15312, 6080,11592, - 6088,7632, 6096,11728, 6104,15824, 6112,11720, 6120,8144, 6128,12240, - 6136,16336, 6144,12288, 6152,12304, 6160,8216, 6168,12312, 6176,12416, - 6184,12432, 6192,8728, 6200,12824, 6208,12544, 6216,12560, 6224,9240, - 6232,13336, 6240,12672, 6248,12688, 6256,9752, 6264,13848, 6272,12296, - 6280,12312, 6288,10264, 6296,14360, 6304,12424, 6312,6680, 6320,10776, - 6328,14872, 6336,12552, 6344,7192, 6352,11288, 6360,15384, 6368,12680, - 6376,7704, 6384,11800, 6392,15896, 6400,13312, 6408,13328, 6416,8280, - 6424,12376, 6432,13440, 6440,13456, 6448,8792, 6456,12888, 6464,13568, - 6472,13584, 6480,9304, 6488,13400, 6496,13696, 6504,13712, 6512,9816, - 6520,13912, 6528,13320, 6536,13336, 6544,10328, 6552,14424, 6560,13448, - 6568,6744, 6576,10840, 6584,14936, 6592,13576, 6600,7256, 6608,11352, - 6616,15448, 6624,13704, 6632,7768, 6640,11864, 6648,15960, 6656,14336, - 6664,14352, 6672,8344, 6680,12440, 6688,14464, 6696,14480, 6704,8856, - 6712,12952, 6720,14592, 6728,14608, 6736,9368, 6744,13464, 6752,14720, - 6760,14736, 6768,9880, 6776,13976, 6784,14344, 6792,14360, 6800,10392, - 6808,14488, 6816,14472, 6824,14488, 6832,10904, 6840,15000, 6848,14600, - 6856,7320, 6864,11416, 6872,15512, 6880,14728, 6888,7832, 6896,11928, - 6904,16024, 6912,15360, 6920,15376, 6928,8408, 6936,12504, 6944,15488, - 6952,15504, 6960,8920, 6968,13016, 6976,15616, 6984,15632, 6992,9432, - 7000,13528, 7008,15744, 7016,15760, 7024,9944, 7032,14040, 7040,15368, - 7048,15384, 7056,10456, 7064,14552, 7072,15496, 7080,15512, 7088,10968, - 7096,15064, 7104,15624, 7112,7384, 7120,11480, 7128,15576, 7136,15752, - 7144,7896, 7152,11992, 7160,16088, 7168,12352, 7176,12368, 7184,8472, - 7192,12568, 7200,12480, 7208,12496, 7216,8984, 7224,13080, 7232,12608, - 7240,12624, 7248,9496, 7256,13592, 7264,12736, 7272,12752, 7280,10008, - 7288,14104, 7296,12360, 7304,12376, 7312,10520, 7320,14616, 7328,12488, - 7336,12504, 7344,11032, 7352,15128, 7360,12616, 7368,7448, 7376,11544, - 7384,15640, 7392,12744, 7400,7960, 7408,12056, 7416,16152, 7424,13376, - 7432,13392, 7440,8536, 7448,12632, 7456,13504, 7464,13520, 7472,9048, - 7480,13144, 7488,13632, 7496,13648, 7504,9560, 7512,13656, 7520,13760, - 7528,13776, 7536,10072, 7544,14168, 7552,13384, 7560,13400, 7568,10584, - 7576,14680, 7584,13512, 7592,13528, 7600,11096, 7608,15192, 7616,13640, - 7624,13656, 7632,11608, 7640,15704, 7648,13768, 7656,8024, 7664,12120, - 7672,16216, 7680,14400, 7688,14416, 7696,8600, 7704,12696, 7712,14528, - 7720,14544, 7728,9112, 7736,13208, 7744,14656, 7752,14672, 7760,9624, - 7768,13720, 7776,14784, 7784,14800, 7792,10136, 7800,14232, 7808,14408, - 7816,14424, 7824,10648, 7832,14744, 7840,14536, 7848,14552, 7856,11160, - 7864,15256, 7872,14664, 7880,14680, 7888,11672, 7896,15768, 7904,14792, - 7912,8088, 7920,12184, 7928,16280, 7936,15424, 7944,15440, 7952,8664, - 7960,12760, 7968,15552, 7976,15568, 7984,9176, 7992,13272, 8000,15680, - 8008,15696, 8016,9688, 8024,13784, 8032,15808, 8040,15824, 8048,10200, - 8056,14296, 8064,15432, 8072,15448, 8080,10712, 8088,14808, 8096,15560, - 8104,15576, 8112,11224, 8120,15320, 8128,15688, 8136,15704, 8144,11736, - 8152,15832, 8160,15816, 8168,15832, 8176,12248, 8184,16344, 8200,8320, - 8208,8224, 8216,12320, 8232,10368, 8240,8736, 8248,12832, 8256,8448, - 8264,8384, 8272,9248, 8280,13344, 8288,9232, 8296,10432, 8304,9760, - 8312,13856, 8328,12416, 8336,10272, 8344,14368, 8352,12296, 8360,14464, - 8368,10784, 8376,14880, 8384,8456, 8392,12480, 8400,11296, 8408,15392, - 8416,12552, 8424,14528, 8432,11808, 8440,15904, 8448,9216, 8456,8576, - 8464,9232, 8472,12384, 8480,9248, 8488,10624, 8496,8800, 8504,12896, - 8512,9472, 8520,8640, 8528,9312, 8536,13408, 8544,9296, 8552,10688, - 8560,9824, 8568,13920, 8576,9224, 8584,12672, 8592,10336, 8600,14432, - 8608,13320, 8616,14720, 8624,10848, 8632,14944, 8640,9480, 8648,12736, - 8656,11360, 8664,15456, 8672,13576, 8680,14784, 8688,11872, 8696,15968, - 8704,12288, 8712,12416, 8720,12296, 8728,12448, 8736,12304, 8744,10376, - 8752,8864, 8760,12960, 8768,12352, 8776,12480, 8784,9376, 8792,13472, - 8800,12368, 8808,10440, 8816,9888, 8824,13984, 8832,12320, 8840,12424, - 8848,10400, 8856,14496, 8864,12312, 8872,14472, 8880,10912, 8888,15008, - 8896,12384, 8904,12488, 8912,11424, 8920,15520, 8928,12568, 8936,14536, - 8944,11936, 8952,16032, 8960,12544, 8968,12672, 8976,12552, 8984,12512, - 8992,12560, 9000,10632, 9008,12568, 9016,13024, 9024,12608, 9032,12736, - 9040,9440, 9048,13536, 9056,12624, 9064,10696, 9072,9952, 9080,14048, - 9088,9240, 9096,12680, 9104,10464, 9112,14560, 9120,13336, 9128,14728, - 9136,10976, 9144,15072, 9152,9496, 9160,12744, 9168,11488, 9176,15584, - 9184,13592, 9192,14792, 9200,12000, 9208,16096, 9224,9344, 9232,9248, - 9240,12576, 9256,11392, 9264,12560, 9272,13088, 9280,9472, 9288,9408, - 9296,9504, 9304,13600, 9312,9488, 9320,11456, 9328,10016, 9336,14112, - 9352,13440, 9360,10528, 9368,14624, 9376,12360, 9384,15488, 9392,11040, - 9400,15136, 9408,9480, 9416,13504, 9424,11552, 9432,15648, 9440,12616, - 9448,15552, 9456,12064, 9464,16160, 9480,9600, 9488,9504, 9496,12640, - 9512,11648, 9520,12624, 9528,13152, 9544,9664, 9552,9568, 9560,13664, - 9576,11712, 9584,10080, 9592,14176, 9608,13696, 9616,10592, 9624,14688, - 9632,13384, 9640,15744, 9648,11104, 9656,15200, 9672,13760, 9680,11616, - 9688,15712, 9696,13640, 9704,15808, 9712,12128, 9720,16224, 9728,13312, - 9736,13440, 9744,13320, 9752,12704, 9760,13328, 9768,11400, 9776,13336, - 9784,13216, 9792,13376, 9800,13504, 9808,13384, 9816,13728, 9824,13392, - 9832,11464, 9840,10144, 9848,14240, 9856,13344, 9864,13448, 9872,10656, - 9880,14752, 9888,12376, 9896,15496, 9904,11168, 9912,15264, 9920,13408, - 9928,13512, 9936,11680, 9944,15776, 9952,12632, 9960,15560, 9968,12192, - 9976,16288, 9984,13568, 9992,13696, 10000,13576, 10008,12768, 10016,13584, - 10024,11656, 10032,13592, 10040,13280, 10048,13632, 10056,13760, - 10064,13640, 10072,13792, 10080,13648, 10088,11720, 10096,10208, - 10104,14304, 10112,13600, 10120,13704, 10128,10720, 10136,14816, - 10144,13400, 10152,15752, 10160,11232, 10168,15328, 10176,13664, - 10184,13768, 10192,11744, 10200,15840, 10208,13656, 10216,15816, - 10224,12256, 10232,16352, 10248,10272, 10256,10368, 10264,12328, - 10280,10384, 10288,10376, 10296,12840, 10304,11264, 10312,11296, - 10320,11392, 10328,13352, 10336,11272, 10344,10448, 10352,11400, - 10360,13864, 10376,12432, 10392,14376, 10400,12328, 10408,14480, - 10416,10792, 10424,14888, 10432,11280, 10440,12496, 10448,11304, - 10456,15400, 10464,11288, 10472,14544, 10480,11816, 10488,15912, - 10496,11264, 10504,11272, 10512,11280, 10520,12392, 10528,11296, - 10536,10640, 10544,12496, 10552,12904, 10560,11328, 10568,11360, - 10576,11456, 10584,13416, 10592,11336, 10600,10704, 10608,11464, - 10616,13928, 10624,11392, 10632,12688, 10640,11304, 10648,14440, - 10656,13352, 10664,14736, 10672,10856, 10680,14952, 10688,11344, - 10696,12752, 10704,11368, 10712,15464, 10720,11352, 10728,14800, - 10736,11880, 10744,15976, 10752,14336, 10760,14368, 10768,14464, - 10776,12456, 10784,14344, 10792,14376, 10800,14472, 10808,12968, - 10816,15360, 10824,15392, 10832,15488, 10840,13480, 10848,15368, - 10856,15400, 10864,15496, 10872,13992, 10880,14352, 10888,12440, - 10896,14480, 10904,14504, 10912,14360, 10920,14488, 10928,14488, - 10936,15016, 10944,15376, 10952,12504, 10960,11432, 10968,15528, - 10976,15384, 10984,14552, 10992,11944, 11000,16040, 11008,14400, - 11016,14432, 11024,14528, 11032,12520, 11040,14408, 11048,14440, - 11056,14536, 11064,13032, 11072,15424, 11080,15456, 11088,15552, - 11096,13544, 11104,15432, 11112,15464, 11120,15560, 11128,14056, - 11136,14416, 11144,12696, 11152,14544, 11160,14568, 11168,14424, - 11176,14744, 11184,14552, 11192,15080, 11200,15440, 11208,12760, - 11216,11496, 11224,15592, 11232,15448, 11240,14808, 11248,12008, - 11256,16104, 11272,11296, 11280,11392, 11288,12584, 11304,11408, - 11312,12688, 11320,13096, 11328,11520, 11336,11552, 11344,11648, - 11352,13608, 11360,11528, 11368,11472, 11376,11656, 11384,14120, - 11400,13456, 11416,14632, 11424,12392, 11432,15504, 11440,14440, - 11448,15144, 11456,11536, 11464,13520, 11472,11560, 11480,15656, - 11488,11544, 11496,15568, 11504,12072, 11512,16168, 11528,11552, - 11536,11648, 11544,12648, 11560,11664, 11568,12752, 11576,13160, - 11592,11616, 11600,11712, 11608,13672, 11624,11728, 11632,11720, - 11640,14184, 11656,13712, 11672,14696, 11680,13416, 11688,15760, - 11696,15464, 11704,15208, 11720,13776, 11736,15720, 11744,13672, - 11752,15824, 11760,12136, 11768,16232, 11776,14592, 11784,14624, - 11792,14720, 11800,12712, 11808,14600, 11816,14632, 11824,14728, - 11832,13224, 11840,15616, 11848,15648, 11856,15744, 11864,13736, - 11872,15624, 11880,15656, 11888,15752, 11896,14248, 11904,14608, - 11912,13464, 11920,14736, 11928,14760, 11936,14616, 11944,15512, - 11952,14744, 11960,15272, 11968,15632, 11976,13528, 11984,15760, - 11992,15784, 12000,15640, 12008,15576, 12016,12200, 12024,16296, - 12032,14656, 12040,14688, 12048,14784, 12056,12776, 12064,14664, - 12072,14696, 12080,14792, 12088,13288, 12096,15680, 12104,15712, - 12112,15808, 12120,13800, 12128,15688, 12136,15720, 12144,15816, - 12152,14312, 12160,14672, 12168,13720, 12176,14800, 12184,14824, - 12192,14680, 12200,15768, 12208,14808, 12216,15336, 12224,15696, - 12232,13784, 12240,15824, 12248,15848, 12256,15704, 12264,15832, - 12272,15832, 12280,16360, 12312,12336, 12344,12848, 12352,12544, - 12360,12552, 12368,12560, 12376,13360, 12384,12576, 12392,12584, - 12400,13336, 12408,13872, 12424,12448, 12440,14384, 12456,14496, - 12464,14472, 12472,14896, 12480,12672, 12488,12512, 12496,12688, - 12504,15408, 12512,12680, 12520,14560, 12528,14728, 12536,15920, - 12544,13312, 12552,13320, 12560,13328, 12568,13336, 12576,13344, - 12584,13352, 12592,13360, 12600,12912, 12608,13568, 12616,13576, - 12624,13584, 12632,13424, 12640,13600, 12648,13608, 12656,13400, - 12664,13936, 12672,13440, 12680,12704, 12688,13456, 12696,14448, - 12704,13448, 12712,14752, 12720,15496, 12728,14960, 12736,13696, - 12744,12768, 12752,13712, 12760,15472, 12768,13704, 12776,14816, - 12784,15752, 12792,15984, 12800,14336, 12808,14464, 12816,14344, - 12824,14472, 12832,14352, 12840,14480, 12848,14360, 12856,12976, - 12864,14400, 12872,14528, 12880,14408, 12888,13488, 12896,14416, - 12904,14544, 12912,14424, 12920,14000, 12928,14368, 12936,14496, - 12944,14376, 12952,14512, 12960,14384, 12968,14504, 12976,14488, - 12984,15024, 12992,14432, 13000,14560, 13008,14440, 13016,15536, - 13024,14448, 13032,14568, 13040,14744, 13048,16048, 13056,14592, - 13064,14720, 13072,14600, 13080,14728, 13088,14608, 13096,14736, - 13104,14616, 13112,14744, 13120,14656, 13128,14784, 13136,14664, - 13144,13552, 13152,14672, 13160,14800, 13168,14680, 13176,14064, - 13184,14624, 13192,14752, 13200,14632, 13208,14576, 13216,13464, - 13224,14760, 13232,15512, 13240,15088, 13248,14688, 13256,14816, - 13264,14696, 13272,15600, 13280,13720, 13288,14824, 13296,15768, - 13304,16112, 13336,13360, 13368,14616, 13376,13568, 13384,13576, - 13392,13584, 13400,13616, 13408,13600, 13416,13608, 13424,13592, - 13432,14128, 13448,13472, 13464,14640, 13480,15520, 13488,14536, - 13496,15152, 13504,13696, 13512,13536, 13520,13712, 13528,15664, - 13536,13704, 13544,15584, 13552,14792, 13560,16176, 13592,13616, - 13624,14680, 13656,13680, 13688,14192, 13704,13728, 13720,14704, - 13736,15776, 13744,15560, 13752,15216, 13768,13792, 13784,15728, - 13800,15840, 13808,15816, 13816,16240, 13824,15360, 13832,15488, - 13840,15368, 13848,15496, 13856,15376, 13864,15504, 13872,15384, - 13880,15512, 13888,15424, 13896,15552, 13904,15432, 13912,15560, - 13920,15440, 13928,15568, 13936,15448, 13944,14256, 13952,15392, - 13960,15520, 13968,15400, 13976,14768, 13984,15408, 13992,15528, - 14000,14552, 14008,15280, 14016,15456, 14024,15584, 14032,15464, - 14040,15792, 14048,15472, 14056,15592, 14064,14808, 14072,16304, - 14080,15616, 14088,15744, 14096,15624, 14104,15752, 14112,15632, - 14120,15760, 14128,15640, 14136,15768, 14144,15680, 14152,15808, - 14160,15688, 14168,15816, 14176,15696, 14184,15824, 14192,15704, - 14200,14320, 14208,15648, 14216,15776, 14224,15656, 14232,14832, - 14240,15664, 14248,15784, 14256,15576, 14264,15344, 14272,15712, - 14280,15840, 14288,15720, 14296,15856, 14304,15728, 14312,15848, - 14320,15832, 14328,16368, 14392,14488, 14400,14592, 14408,14600, - 14416,14608, 14424,14616, 14432,14624, 14440,14632, 14448,14640, - 14456,15512, 14504,14512, 14520,14904, 14528,14720, 14536,14728, - 14544,14736, 14552,15416, 14560,14752, 14568,14576, 14584,15928, - 14576,14760, 14592,15360, 14600,15368, 14608,15376, 14616,15384, - 14624,15392, 14632,15400, 14640,15408, 14648,15416, 14656,15616, - 14664,15624, 14672,15632, 14680,15640, 14688,15648, 14696,15656, - 14704,15664, 14712,15576, 14720,15488, 14728,15496, 14736,15504, - 14744,15512, 14752,15520, 14760,14768, 14776,14968, 14768,15528, - 14784,15744, 14792,15752, 14800,15760, 14808,15480, 14816,15776, - 14824,14832, 14840,15992, 14832,15784, 14856,14864, 14864,14880, - 14872,14896, 14880,14976, 14888,14992, 14896,15008, 14904,15024, - 14912,15104, 14920,15120, 14928,15136, 14936,15152, 14944,15232, - 14952,15248, 14960,15264, 14968,15280, 14984,15008, 15000,15024, - 15016,15024, 15040,15112, 15048,15128, 15056,15144, 15064,15544, - 15072,15240, 15080,15256, 15088,15272, 15096,16056, 15104,15872, - 15112,15888, 15120,15904, 15128,15920, 15136,16000, 15144,16016, - 15152,16032, 15160,16048, 15168,16128, 15176,16144, 15184,16160, - 15192,16176, 15200,16256, 15208,16272, 15216,16288, 15224,16304, - 15232,15880, 15240,15896, 15248,15912, 15256,15928, 15264,16008, - 15272,16024, 15280,16040, 15288,16056, 15296,16136, 15304,16152, - 15312,16168, 15320,15608, 15328,16264, 15336,16280, 15344,16296, - 15352,16120, 15416,15512, 15424,15616, 15432,15624, 15440,15632, - 15448,15640, 15456,15648, 15464,15656, 15472,15664, 15480,15768, - 15528,15536, 15544,16048, 15552,15744, 15560,15752, 15568,15760, - 15576,15672, 15584,15776, 15592,15600, 15600,15784, 15608,16184, - 15672,15768, 15736,15832, 15784,15792, 15800,16304, 15848,15856, - 15880,16000, 15864,16248, 15888,16000, 15896,16008, 15904,16000, - 15912,16016, 15920,16008, 15928,16024, 15936,16128, 15944,16160, - 15952,16256, 15960,16288, 15968,16136, 15976,16168, 15984,16264, - 15992,16296, 16008,16032, 16024,16040, 16064,16144, 16040,16048, - 16072,16176, 16080,16272, 16088,16304, 16096,16152, 16104,16184, - 16112,16280, 16136,16256, 16120,16312, 16144,16256, 16152,16264, - 16160,16256, 16168,16272, 16176,16264, 16184,16280, 16200,16208, - 16208,16224, 16216,16240, 16224,16320, 16232,16336, 16240,16352, - 16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368, - 16328,16352, 16360,16368 -}; - -const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE4096_TABLE_LENGTH] = -{ - //radix 8, size 4032 - 8,4096, 16,8192, 24,12288, 32,16384, 40,20480, 48,24576, 56,28672, 64,512, - 72,4608, 80,8704, 88,12800, 96,16896, 104,20992, 112,25088, 120,29184, - 128,1024, 136,5120, 144,9216, 152,13312, 160,17408, 168,21504, 176,25600, - 184,29696, 192,1536, 200,5632, 208,9728, 216,13824, 224,17920, 232,22016, - 240,26112, 248,30208, 256,2048, 264,6144, 272,10240, 280,14336, 288,18432, - 296,22528, 304,26624, 312,30720, 320,2560, 328,6656, 336,10752, 344,14848, - 352,18944, 360,23040, 368,27136, 376,31232, 384,3072, 392,7168, 400,11264, - 408,15360, 416,19456, 424,23552, 432,27648, 440,31744, 448,3584, 456,7680, - 464,11776, 472,15872, 480,19968, 488,24064, 496,28160, 504,32256, 520,4160, - 528,8256, 536,12352, 544,16448, 552,20544, 560,24640, 568,28736, 584,4672, - 592,8768, 600,12864, 608,16960, 616,21056, 624,25152, 632,29248, 640,1088, - 648,5184, 656,9280, 664,13376, 672,17472, 680,21568, 688,25664, 696,29760, - 704,1600, 712,5696, 720,9792, 728,13888, 736,17984, 744,22080, 752,26176, - 760,30272, 768,2112, 776,6208, 784,10304, 792,14400, 800,18496, 808,22592, - 816,26688, 824,30784, 832,2624, 840,6720, 848,10816, 856,14912, 864,19008, - 872,23104, 880,27200, 888,31296, 896,3136, 904,7232, 912,11328, 920,15424, - 928,19520, 936,23616, 944,27712, 952,31808, 960,3648, 968,7744, 976,11840, - 984,15936, 992,20032, 1000,24128, 1008,28224, 1016,32320, 1032,4224, - 1040,8320, 1048,12416, 1056,16512, 1064,20608, 1072,24704, 1080,28800, - 1096,4736, 1104,8832, 1112,12928, 1120,17024, 1128,21120, 1136,25216, - 1144,29312, 1160,5248, 1168,9344, 1176,13440, 1184,17536, 1192,21632, - 1200,25728, 1208,29824, 1216,1664, 1224,5760, 1232,9856, 1240,13952, - 1248,18048, 1256,22144, 1264,26240, 1272,30336, 1280,2176, 1288,6272, - 1296,10368, 1304,14464, 1312,18560, 1320,22656, 1328,26752, 1336,30848, - 1344,2688, 1352,6784, 1360,10880, 1368,14976, 1376,19072, 1384,23168, - 1392,27264, 1400,31360, 1408,3200, 1416,7296, 1424,11392, 1432,15488, - 1440,19584, 1448,23680, 1456,27776, 1464,31872, 1472,3712, 1480,7808, - 1488,11904, 1496,16000, 1504,20096, 1512,24192, 1520,28288, 1528,32384, - 1544,4288, 1552,8384, 1560,12480, 1568,16576, 1576,20672, 1584,24768, - 1592,28864, 1608,4800, 1616,8896, 1624,12992, 1632,17088, 1640,21184, - 1648,25280, 1656,29376, 1672,5312, 1680,9408, 1688,13504, 1696,17600, - 1704,21696, 1712,25792, 1720,29888, 1736,5824, 1744,9920, 1752,14016, - 1760,18112, 1768,22208, 1776,26304, 1784,30400, 1792,2240, 1800,6336, - 1808,10432, 1816,14528, 1824,18624, 1832,22720, 1840,26816, 1848,30912, - 1856,2752, 1864,6848, 1872,10944, 1880,15040, 1888,19136, 1896,23232, - 1904,27328, 1912,31424, 1920,3264, 1928,7360, 1936,11456, 1944,15552, - 1952,19648, 1960,23744, 1968,27840, 1976,31936, 1984,3776, 1992,7872, - 2000,11968, 2008,16064, 2016,20160, 2024,24256, 2032,28352, 2040,32448, - 2056,4352, 2064,8448, 2072,12544, 2080,16640, 2088,20736, 2096,24832, - 2104,28928, 2120,4864, 2128,8960, 2136,13056, 2144,17152, 2152,21248, - 2160,25344, 2168,29440, 2184,5376, 2192,9472, 2200,13568, 2208,17664, - 2216,21760, 2224,25856, 2232,29952, 2248,5888, 2256,9984, 2264,14080, - 2272,18176, 2280,22272, 2288,26368, 2296,30464, 2312,6400, 2320,10496, - 2328,14592, 2336,18688, 2344,22784, 2352,26880, 2360,30976, 2368,2816, - 2376,6912, 2384,11008, 2392,15104, 2400,19200, 2408,23296, 2416,27392, - 2424,31488, 2432,3328, 2440,7424, 2448,11520, 2456,15616, 2464,19712, - 2472,23808, 2480,27904, 2488,32000, 2496,3840, 2504,7936, 2512,12032, - 2520,16128, 2528,20224, 2536,24320, 2544,28416, 2552,32512, 2568,4416, - 2576,8512, 2584,12608, 2592,16704, 2600,20800, 2608,24896, 2616,28992, - 2632,4928, 2640,9024, 2648,13120, 2656,17216, 2664,21312, 2672,25408, - 2680,29504, 2696,5440, 2704,9536, 2712,13632, 2720,17728, 2728,21824, - 2736,25920, 2744,30016, 2760,5952, 2768,10048, 2776,14144, 2784,18240, - 2792,22336, 2800,26432, 2808,30528, 2824,6464, 2832,10560, 2840,14656, - 2848,18752, 2856,22848, 2864,26944, 2872,31040, 2888,6976, 2896,11072, - 2904,15168, 2912,19264, 2920,23360, 2928,27456, 2936,31552, 2944,3392, - 2952,7488, 2960,11584, 2968,15680, 2976,19776, 2984,23872, 2992,27968, - 3000,32064, 3008,3904, 3016,8000, 3024,12096, 3032,16192, 3040,20288, - 3048,24384, 3056,28480, 3064,32576, 3080,4480, 3088,8576, 3096,12672, - 3104,16768, 3112,20864, 3120,24960, 3128,29056, 3144,4992, 3152,9088, - 3160,13184, 3168,17280, 3176,21376, 3184,25472, 3192,29568, 3208,5504, - 3216,9600, 3224,13696, 3232,17792, 3240,21888, 3248,25984, 3256,30080, - 3272,6016, 3280,10112, 3288,14208, 3296,18304, 3304,22400, 3312,26496, - 3320,30592, 3336,6528, 3344,10624, 3352,14720, 3360,18816, 3368,22912, - 3376,27008, 3384,31104, 3400,7040, 3408,11136, 3416,15232, 3424,19328, - 3432,23424, 3440,27520, 3448,31616, 3464,7552, 3472,11648, 3480,15744, - 3488,19840, 3496,23936, 3504,28032, 3512,32128, 3520,3968, 3528,8064, - 3536,12160, 3544,16256, 3552,20352, 3560,24448, 3568,28544, 3576,32640, - 3592,4544, 3600,8640, 3608,12736, 3616,16832, 3624,20928, 3632,25024, - 3640,29120, 3656,5056, 3664,9152, 3672,13248, 3680,17344, 3688,21440, - 3696,25536, 3704,29632, 3720,5568, 3728,9664, 3736,13760, 3744,17856, - 3752,21952, 3760,26048, 3768,30144, 3784,6080, 3792,10176, 3800,14272, - 3808,18368, 3816,22464, 3824,26560, 3832,30656, 3848,6592, 3856,10688, - 3864,14784, 3872,18880, 3880,22976, 3888,27072, 3896,31168, 3912,7104, - 3920,11200, 3928,15296, 3936,19392, 3944,23488, 3952,27584, 3960,31680, - 3976,7616, 3984,11712, 3992,15808, 4000,19904, 4008,24000, 4016,28096, - 4024,32192, 4040,8128, 4048,12224, 4056,16320, 4064,20416, 4072,24512, - 4080,28608, 4088,32704, 4112,8200, 4120,12296, 4128,16392, 4136,20488, - 4144,24584, 4152,28680, 4168,4616, 4176,8712, 4184,12808, 4192,16904, - 4200,21000, 4208,25096, 4216,29192, 4232,5128, 4240,9224, 4248,13320, - 4256,17416, 4264,21512, 4272,25608, 4280,29704, 4296,5640, 4304,9736, - 4312,13832, 4320,17928, 4328,22024, 4336,26120, 4344,30216, 4360,6152, - 4368,10248, 4376,14344, 4384,18440, 4392,22536, 4400,26632, 4408,30728, - 4424,6664, 4432,10760, 4440,14856, 4448,18952, 4456,23048, 4464,27144, - 4472,31240, 4488,7176, 4496,11272, 4504,15368, 4512,19464, 4520,23560, - 4528,27656, 4536,31752, 4552,7688, 4560,11784, 4568,15880, 4576,19976, - 4584,24072, 4592,28168, 4600,32264, 4624,8264, 4632,12360, 4640,16456, - 4648,20552, 4656,24648, 4664,28744, 4688,8776, 4696,12872, 4704,16968, - 4712,21064, 4720,25160, 4728,29256, 4744,5192, 4752,9288, 4760,13384, - 4768,17480, 4776,21576, 4784,25672, 4792,29768, 4808,5704, 4816,9800, - 4824,13896, 4832,17992, 4840,22088, 4848,26184, 4856,30280, 4872,6216, - 4880,10312, 4888,14408, 4896,18504, 4904,22600, 4912,26696, 4920,30792, - 4936,6728, 4944,10824, 4952,14920, 4960,19016, 4968,23112, 4976,27208, - 4984,31304, 5000,7240, 5008,11336, 5016,15432, 5024,19528, 5032,23624, - 5040,27720, 5048,31816, 5064,7752, 5072,11848, 5080,15944, 5088,20040, - 5096,24136, 5104,28232, 5112,32328, 5136,8328, 5144,12424, 5152,16520, - 5160,20616, 5168,24712, 5176,28808, 5200,8840, 5208,12936, 5216,17032, - 5224,21128, 5232,25224, 5240,29320, 5264,9352, 5272,13448, 5280,17544, - 5288,21640, 5296,25736, 5304,29832, 5320,5768, 5328,9864, 5336,13960, - 5344,18056, 5352,22152, 5360,26248, 5368,30344, 5384,6280, 5392,10376, - 5400,14472, 5408,18568, 5416,22664, 5424,26760, 5432,30856, 5448,6792, - 5456,10888, 5464,14984, 5472,19080, 5480,23176, 5488,27272, 5496,31368, - 5512,7304, 5520,11400, 5528,15496, 5536,19592, 5544,23688, 5552,27784, - 5560,31880, 5576,7816, 5584,11912, 5592,16008, 5600,20104, 5608,24200, - 5616,28296, 5624,32392, 5648,8392, 5656,12488, 5664,16584, 5672,20680, - 5680,24776, 5688,28872, 5712,8904, 5720,13000, 5728,17096, 5736,21192, - 5744,25288, 5752,29384, 5776,9416, 5784,13512, 5792,17608, 5800,21704, - 5808,25800, 5816,29896, 5840,9928, 5848,14024, 5856,18120, 5864,22216, - 5872,26312, 5880,30408, 5896,6344, 5904,10440, 5912,14536, 5920,18632, - 5928,22728, 5936,26824, 5944,30920, 5960,6856, 5968,10952, 5976,15048, - 5984,19144, 5992,23240, 6000,27336, 6008,31432, 6024,7368, 6032,11464, - 6040,15560, 6048,19656, 6056,23752, 6064,27848, 6072,31944, 6088,7880, - 6096,11976, 6104,16072, 6112,20168, 6120,24264, 6128,28360, 6136,32456, - 6160,8456, 6168,12552, 6176,16648, 6184,20744, 6192,24840, 6200,28936, - 6224,8968, 6232,13064, 6240,17160, 6248,21256, 6256,25352, 6264,29448, - 6288,9480, 6296,13576, 6304,17672, 6312,21768, 6320,25864, 6328,29960, - 6352,9992, 6360,14088, 6368,18184, 6376,22280, 6384,26376, 6392,30472, - 6416,10504, 6424,14600, 6432,18696, 6440,22792, 6448,26888, 6456,30984, - 6472,6920, 6480,11016, 6488,15112, 6496,19208, 6504,23304, 6512,27400, - 6520,31496, 6536,7432, 6544,11528, 6552,15624, 6560,19720, 6568,23816, - 6576,27912, 6584,32008, 6600,7944, 6608,12040, 6616,16136, 6624,20232, - 6632,24328, 6640,28424, 6648,32520, 6672,8520, 6680,12616, 6688,16712, - 6696,20808, 6704,24904, 6712,29000, 6736,9032, 6744,13128, 6752,17224, - 6760,21320, 6768,25416, 6776,29512, 6800,9544, 6808,13640, 6816,17736, - 6824,21832, 6832,25928, 6840,30024, 6864,10056, 6872,14152, 6880,18248, - 6888,22344, 6896,26440, 6904,30536, 6928,10568, 6936,14664, 6944,18760, - 6952,22856, 6960,26952, 6968,31048, 6992,11080, 7000,15176, 7008,19272, - 7016,23368, 7024,27464, 7032,31560, 7048,7496, 7056,11592, 7064,15688, - 7072,19784, 7080,23880, 7088,27976, 7096,32072, 7112,8008, 7120,12104, - 7128,16200, 7136,20296, 7144,24392, 7152,28488, 7160,32584, 7184,8584, - 7192,12680, 7200,16776, 7208,20872, 7216,24968, 7224,29064, 7248,9096, - 7256,13192, 7264,17288, 7272,21384, 7280,25480, 7288,29576, 7312,9608, - 7320,13704, 7328,17800, 7336,21896, 7344,25992, 7352,30088, 7376,10120, - 7384,14216, 7392,18312, 7400,22408, 7408,26504, 7416,30600, 7440,10632, - 7448,14728, 7456,18824, 7464,22920, 7472,27016, 7480,31112, 7504,11144, - 7512,15240, 7520,19336, 7528,23432, 7536,27528, 7544,31624, 7568,11656, - 7576,15752, 7584,19848, 7592,23944, 7600,28040, 7608,32136, 7624,8072, - 7632,12168, 7640,16264, 7648,20360, 7656,24456, 7664,28552, 7672,32648, - 7696,8648, 7704,12744, 7712,16840, 7720,20936, 7728,25032, 7736,29128, - 7760,9160, 7768,13256, 7776,17352, 7784,21448, 7792,25544, 7800,29640, - 7824,9672, 7832,13768, 7840,17864, 7848,21960, 7856,26056, 7864,30152, - 7888,10184, 7896,14280, 7904,18376, 7912,22472, 7920,26568, 7928,30664, - 7952,10696, 7960,14792, 7968,18888, 7976,22984, 7984,27080, 7992,31176, - 8016,11208, 8024,15304, 8032,19400, 8040,23496, 8048,27592, 8056,31688, - 8080,11720, 8088,15816, 8096,19912, 8104,24008, 8112,28104, 8120,32200, - 8144,12232, 8152,16328, 8160,20424, 8168,24520, 8176,28616, 8184,32712, - 8216,12304, 8224,16400, 8232,20496, 8240,24592, 8248,28688, 8272,8720, - 8280,12816, 8288,16912, 8296,21008, 8304,25104, 8312,29200, 8336,9232, - 8344,13328, 8352,17424, 8360,21520, 8368,25616, 8376,29712, 8400,9744, - 8408,13840, 8416,17936, 8424,22032, 8432,26128, 8440,30224, 8464,10256, - 8472,14352, 8480,18448, 8488,22544, 8496,26640, 8504,30736, 8528,10768, - 8536,14864, 8544,18960, 8552,23056, 8560,27152, 8568,31248, 8592,11280, - 8600,15376, 8608,19472, 8616,23568, 8624,27664, 8632,31760, 8656,11792, - 8664,15888, 8672,19984, 8680,24080, 8688,28176, 8696,32272, 8728,12368, - 8736,16464, 8744,20560, 8752,24656, 8760,28752, 8792,12880, 8800,16976, - 8808,21072, 8816,25168, 8824,29264, 8848,9296, 8856,13392, 8864,17488, - 8872,21584, 8880,25680, 8888,29776, 8912,9808, 8920,13904, 8928,18000, - 8936,22096, 8944,26192, 8952,30288, 8976,10320, 8984,14416, 8992,18512, - 9000,22608, 9008,26704, 9016,30800, 9040,10832, 9048,14928, 9056,19024, - 9064,23120, 9072,27216, 9080,31312, 9104,11344, 9112,15440, 9120,19536, - 9128,23632, 9136,27728, 9144,31824, 9168,11856, 9176,15952, 9184,20048, - 9192,24144, 9200,28240, 9208,32336, 9240,12432, 9248,16528, 9256,20624, - 9264,24720, 9272,28816, 9304,12944, 9312,17040, 9320,21136, 9328,25232, - 9336,29328, 9368,13456, 9376,17552, 9384,21648, 9392,25744, 9400,29840, - 9424,9872, 9432,13968, 9440,18064, 9448,22160, 9456,26256, 9464,30352, - 9488,10384, 9496,14480, 9504,18576, 9512,22672, 9520,26768, 9528,30864, - 9552,10896, 9560,14992, 9568,19088, 9576,23184, 9584,27280, 9592,31376, - 9616,11408, 9624,15504, 9632,19600, 9640,23696, 9648,27792, 9656,31888, - 9680,11920, 9688,16016, 9696,20112, 9704,24208, 9712,28304, 9720,32400, - 9752,12496, 9760,16592, 9768,20688, 9776,24784, 9784,28880, 9816,13008, - 9824,17104, 9832,21200, 9840,25296, 9848,29392, 9880,13520, 9888,17616, - 9896,21712, 9904,25808, 9912,29904, 9944,14032, 9952,18128, 9960,22224, - 9968,26320, 9976,30416, 10000,10448, 10008,14544, 10016,18640, 10024,22736, - 10032,26832, 10040,30928, 10064,10960, 10072,15056, 10080,19152, - 10088,23248, 10096,27344, 10104,31440, 10128,11472, 10136,15568, - 10144,19664, 10152,23760, 10160,27856, 10168,31952, 10192,11984, - 10200,16080, 10208,20176, 10216,24272, 10224,28368, 10232,32464, - 10264,12560, 10272,16656, 10280,20752, 10288,24848, 10296,28944, - 10328,13072, 10336,17168, 10344,21264, 10352,25360, 10360,29456, - 10392,13584, 10400,17680, 10408,21776, 10416,25872, 10424,29968, - 10456,14096, 10464,18192, 10472,22288, 10480,26384, 10488,30480, - 10520,14608, 10528,18704, 10536,22800, 10544,26896, 10552,30992, - 10576,11024, 10584,15120, 10592,19216, 10600,23312, 10608,27408, - 10616,31504, 10640,11536, 10648,15632, 10656,19728, 10664,23824, - 10672,27920, 10680,32016, 10704,12048, 10712,16144, 10720,20240, - 10728,24336, 10736,28432, 10744,32528, 10776,12624, 10784,16720, - 10792,20816, 10800,24912, 10808,29008, 10840,13136, 10848,17232, - 10856,21328, 10864,25424, 10872,29520, 10904,13648, 10912,17744, - 10920,21840, 10928,25936, 10936,30032, 10968,14160, 10976,18256, - 10984,22352, 10992,26448, 11000,30544, 11032,14672, 11040,18768, - 11048,22864, 11056,26960, 11064,31056, 11096,15184, 11104,19280, - 11112,23376, 11120,27472, 11128,31568, 11152,11600, 11160,15696, - 11168,19792, 11176,23888, 11184,27984, 11192,32080, 11216,12112, - 11224,16208, 11232,20304, 11240,24400, 11248,28496, 11256,32592, - 11288,12688, 11296,16784, 11304,20880, 11312,24976, 11320,29072, - 11352,13200, 11360,17296, 11368,21392, 11376,25488, 11384,29584, - 11416,13712, 11424,17808, 11432,21904, 11440,26000, 11448,30096, - 11480,14224, 11488,18320, 11496,22416, 11504,26512, 11512,30608, - 11544,14736, 11552,18832, 11560,22928, 11568,27024, 11576,31120, - 11608,15248, 11616,19344, 11624,23440, 11632,27536, 11640,31632, - 11672,15760, 11680,19856, 11688,23952, 11696,28048, 11704,32144, - 11728,12176, 11736,16272, 11744,20368, 11752,24464, 11760,28560, - 11768,32656, 11800,12752, 11808,16848, 11816,20944, 11824,25040, - 11832,29136, 11864,13264, 11872,17360, 11880,21456, 11888,25552, - 11896,29648, 11928,13776, 11936,17872, 11944,21968, 11952,26064, - 11960,30160, 11992,14288, 12000,18384, 12008,22480, 12016,26576, - 12024,30672, 12056,14800, 12064,18896, 12072,22992, 12080,27088, - 12088,31184, 12120,15312, 12128,19408, 12136,23504, 12144,27600, - 12152,31696, 12184,15824, 12192,19920, 12200,24016, 12208,28112, - 12216,32208, 12248,16336, 12256,20432, 12264,24528, 12272,28624, - 12280,32720, 12320,16408, 12328,20504, 12336,24600, 12344,28696, - 12376,12824, 12384,16920, 12392,21016, 12400,25112, 12408,29208, - 12440,13336, 12448,17432, 12456,21528, 12464,25624, 12472,29720, - 12504,13848, 12512,17944, 12520,22040, 12528,26136, 12536,30232, - 12568,14360, 12576,18456, 12584,22552, 12592,26648, 12600,30744, - 12632,14872, 12640,18968, 12648,23064, 12656,27160, 12664,31256, - 12696,15384, 12704,19480, 12712,23576, 12720,27672, 12728,31768, - 12760,15896, 12768,19992, 12776,24088, 12784,28184, 12792,32280, - 12832,16472, 12840,20568, 12848,24664, 12856,28760, 12896,16984, - 12904,21080, 12912,25176, 12920,29272, 12952,13400, 12960,17496, - 12968,21592, 12976,25688, 12984,29784, 13016,13912, 13024,18008, - 13032,22104, 13040,26200, 13048,30296, 13080,14424, 13088,18520, - 13096,22616, 13104,26712, 13112,30808, 13144,14936, 13152,19032, - 13160,23128, 13168,27224, 13176,31320, 13208,15448, 13216,19544, - 13224,23640, 13232,27736, 13240,31832, 13272,15960, 13280,20056, - 13288,24152, 13296,28248, 13304,32344, 13344,16536, 13352,20632, - 13360,24728, 13368,28824, 13408,17048, 13416,21144, 13424,25240, - 13432,29336, 13472,17560, 13480,21656, 13488,25752, 13496,29848, - 13528,13976, 13536,18072, 13544,22168, 13552,26264, 13560,30360, - 13592,14488, 13600,18584, 13608,22680, 13616,26776, 13624,30872, - 13656,15000, 13664,19096, 13672,23192, 13680,27288, 13688,31384, - 13720,15512, 13728,19608, 13736,23704, 13744,27800, 13752,31896, - 13784,16024, 13792,20120, 13800,24216, 13808,28312, 13816,32408, - 13856,16600, 13864,20696, 13872,24792, 13880,28888, 13920,17112, - 13928,21208, 13936,25304, 13944,29400, 13984,17624, 13992,21720, - 14000,25816, 14008,29912, 14048,18136, 14056,22232, 14064,26328, - 14072,30424, 14104,14552, 14112,18648, 14120,22744, 14128,26840, - 14136,30936, 14168,15064, 14176,19160, 14184,23256, 14192,27352, - 14200,31448, 14232,15576, 14240,19672, 14248,23768, 14256,27864, - 14264,31960, 14296,16088, 14304,20184, 14312,24280, 14320,28376, - 14328,32472, 14368,16664, 14376,20760, 14384,24856, 14392,28952, - 14432,17176, 14440,21272, 14448,25368, 14456,29464, 14496,17688, - 14504,21784, 14512,25880, 14520,29976, 14560,18200, 14568,22296, - 14576,26392, 14584,30488, 14624,18712, 14632,22808, 14640,26904, - 14648,31000, 14680,15128, 14688,19224, 14696,23320, 14704,27416, - 14712,31512, 14744,15640, 14752,19736, 14760,23832, 14768,27928, - 14776,32024, 14808,16152, 14816,20248, 14824,24344, 14832,28440, - 14840,32536, 14880,16728, 14888,20824, 14896,24920, 14904,29016, - 14944,17240, 14952,21336, 14960,25432, 14968,29528, 15008,17752, - 15016,21848, 15024,25944, 15032,30040, 15072,18264, 15080,22360, - 15088,26456, 15096,30552, 15136,18776, 15144,22872, 15152,26968, - 15160,31064, 15200,19288, 15208,23384, 15216,27480, 15224,31576, - 15256,15704, 15264,19800, 15272,23896, 15280,27992, 15288,32088, - 15320,16216, 15328,20312, 15336,24408, 15344,28504, 15352,32600, - 15392,16792, 15400,20888, 15408,24984, 15416,29080, 15456,17304, - 15464,21400, 15472,25496, 15480,29592, 15520,17816, 15528,21912, - 15536,26008, 15544,30104, 15584,18328, 15592,22424, 15600,26520, - 15608,30616, 15648,18840, 15656,22936, 15664,27032, 15672,31128, - 15712,19352, 15720,23448, 15728,27544, 15736,31640, 15776,19864, - 15784,23960, 15792,28056, 15800,32152, 15832,16280, 15840,20376, - 15848,24472, 15856,28568, 15864,32664, 15904,16856, 15912,20952, - 15920,25048, 15928,29144, 15968,17368, 15976,21464, 15984,25560, - 15992,29656, 16032,17880, 16040,21976, 16048,26072, 16056,30168, - 16096,18392, 16104,22488, 16112,26584, 16120,30680, 16160,18904, - 16168,23000, 16176,27096, 16184,31192, 16224,19416, 16232,23512, - 16240,27608, 16248,31704, 16288,19928, 16296,24024, 16304,28120, - 16312,32216, 16352,20440, 16360,24536, 16368,28632, 16376,32728, - 16424,20512, 16432,24608, 16440,28704, 16480,16928, 16488,21024, - 16496,25120, 16504,29216, 16544,17440, 16552,21536, 16560,25632, - 16568,29728, 16608,17952, 16616,22048, 16624,26144, 16632,30240, - 16672,18464, 16680,22560, 16688,26656, 16696,30752, 16736,18976, - 16744,23072, 16752,27168, 16760,31264, 16800,19488, 16808,23584, - 16816,27680, 16824,31776, 16864,20000, 16872,24096, 16880,28192, - 16888,32288, 16936,20576, 16944,24672, 16952,28768, 17000,21088, - 17008,25184, 17016,29280, 17056,17504, 17064,21600, 17072,25696, - 17080,29792, 17120,18016, 17128,22112, 17136,26208, 17144,30304, - 17184,18528, 17192,22624, 17200,26720, 17208,30816, 17248,19040, - 17256,23136, 17264,27232, 17272,31328, 17312,19552, 17320,23648, - 17328,27744, 17336,31840, 17376,20064, 17384,24160, 17392,28256, - 17400,32352, 17448,20640, 17456,24736, 17464,28832, 17512,21152, - 17520,25248, 17528,29344, 17576,21664, 17584,25760, 17592,29856, - 17632,18080, 17640,22176, 17648,26272, 17656,30368, 17696,18592, - 17704,22688, 17712,26784, 17720,30880, 17760,19104, 17768,23200, - 17776,27296, 17784,31392, 17824,19616, 17832,23712, 17840,27808, - 17848,31904, 17888,20128, 17896,24224, 17904,28320, 17912,32416, - 17960,20704, 17968,24800, 17976,28896, 18024,21216, 18032,25312, - 18040,29408, 18088,21728, 18096,25824, 18104,29920, 18152,22240, - 18160,26336, 18168,30432, 18208,18656, 18216,22752, 18224,26848, - 18232,30944, 18272,19168, 18280,23264, 18288,27360, 18296,31456, - 18336,19680, 18344,23776, 18352,27872, 18360,31968, 18400,20192, - 18408,24288, 18416,28384, 18424,32480, 18472,20768, 18480,24864, - 18488,28960, 18536,21280, 18544,25376, 18552,29472, 18600,21792, - 18608,25888, 18616,29984, 18664,22304, 18672,26400, 18680,30496, - 18728,22816, 18736,26912, 18744,31008, 18784,19232, 18792,23328, - 18800,27424, 18808,31520, 18848,19744, 18856,23840, 18864,27936, - 18872,32032, 18912,20256, 18920,24352, 18928,28448, 18936,32544, - 18984,20832, 18992,24928, 19000,29024, 19048,21344, 19056,25440, - 19064,29536, 19112,21856, 19120,25952, 19128,30048, 19176,22368, - 19184,26464, 19192,30560, 19240,22880, 19248,26976, 19256,31072, - 19304,23392, 19312,27488, 19320,31584, 19360,19808, 19368,23904, - 19376,28000, 19384,32096, 19424,20320, 19432,24416, 19440,28512, - 19448,32608, 19496,20896, 19504,24992, 19512,29088, 19560,21408, - 19568,25504, 19576,29600, 19624,21920, 19632,26016, 19640,30112, - 19688,22432, 19696,26528, 19704,30624, 19752,22944, 19760,27040, - 19768,31136, 19816,23456, 19824,27552, 19832,31648, 19880,23968, - 19888,28064, 19896,32160, 19936,20384, 19944,24480, 19952,28576, - 19960,32672, 20008,20960, 20016,25056, 20024,29152, 20072,21472, - 20080,25568, 20088,29664, 20136,21984, 20144,26080, 20152,30176, - 20200,22496, 20208,26592, 20216,30688, 20264,23008, 20272,27104, - 20280,31200, 20328,23520, 20336,27616, 20344,31712, 20392,24032, - 20400,28128, 20408,32224, 20456,24544, 20464,28640, 20472,32736, - 20528,24616, 20536,28712, 20584,21032, 20592,25128, 20600,29224, - 20648,21544, 20656,25640, 20664,29736, 20712,22056, 20720,26152, - 20728,30248, 20776,22568, 20784,26664, 20792,30760, 20840,23080, - 20848,27176, 20856,31272, 20904,23592, 20912,27688, 20920,31784, - 20968,24104, 20976,28200, 20984,32296, 21040,24680, 21048,28776, - 21104,25192, 21112,29288, 21160,21608, 21168,25704, 21176,29800, - 21224,22120, 21232,26216, 21240,30312, 21288,22632, 21296,26728, - 21304,30824, 21352,23144, 21360,27240, 21368,31336, 21416,23656, - 21424,27752, 21432,31848, 21480,24168, 21488,28264, 21496,32360, - 21552,24744, 21560,28840, 21616,25256, 21624,29352, 21680,25768, - 21688,29864, 21736,22184, 21744,26280, 21752,30376, 21800,22696, - 21808,26792, 21816,30888, 21864,23208, 21872,27304, 21880,31400, - 21928,23720, 21936,27816, 21944,31912, 21992,24232, 22000,28328, - 22008,32424, 22064,24808, 22072,28904, 22128,25320, 22136,29416, - 22192,25832, 22200,29928, 22256,26344, 22264,30440, 22312,22760, - 22320,26856, 22328,30952, 22376,23272, 22384,27368, 22392,31464, - 22440,23784, 22448,27880, 22456,31976, 22504,24296, 22512,28392, - 22520,32488, 22576,24872, 22584,28968, 22640,25384, 22648,29480, - 22704,25896, 22712,29992, 22768,26408, 22776,30504, 22832,26920, - 22840,31016, 22888,23336, 22896,27432, 22904,31528, 22952,23848, - 22960,27944, 22968,32040, 23016,24360, 23024,28456, 23032,32552, - 23088,24936, 23096,29032, 23152,25448, 23160,29544, 23216,25960, - 23224,30056, 23280,26472, 23288,30568, 23344,26984, 23352,31080, - 23408,27496, 23416,31592, 23464,23912, 23472,28008, 23480,32104, - 23528,24424, 23536,28520, 23544,32616, 23600,25000, 23608,29096, - 23664,25512, 23672,29608, 23728,26024, 23736,30120, 23792,26536, - 23800,30632, 23856,27048, 23864,31144, 23920,27560, 23928,31656, - 23984,28072, 23992,32168, 24040,24488, 24048,28584, 24056,32680, - 24112,25064, 24120,29160, 24176,25576, 24184,29672, 24240,26088, - 24248,30184, 24304,26600, 24312,30696, 24368,27112, 24376,31208, - 24432,27624, 24440,31720, 24496,28136, 24504,32232, 24560,28648, - 24568,32744, 24632,28720, 24688,25136, 24696,29232, 24752,25648, - 24760,29744, 24816,26160, 24824,30256, 24880,26672, 24888,30768, - 24944,27184, 24952,31280, 25008,27696, 25016,31792, 25072,28208, - 25080,32304, 25144,28784, 25208,29296, 25264,25712, 25272,29808, - 25328,26224, 25336,30320, 25392,26736, 25400,30832, 25456,27248, - 25464,31344, 25520,27760, 25528,31856, 25584,28272, 25592,32368, - 25656,28848, 25720,29360, 25784,29872, 25840,26288, 25848,30384, - 25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824, - 26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424, - 26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376, - 26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496, - 26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024, - 26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464, - 27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576, - 27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528, - 27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640, - 27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688, - 28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216, - 28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752, - 28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312, - 29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864, - 29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928, - 30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504, - 31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632, - 32248,32696 -}; - - -/** -* \par -* Example code for Floating-point RFFT Twiddle factors Generation: -* \par -* <pre>TW = exp(2*pi*i*[0:L/2-1]/L - pi/2*i).' </pre> -* \par -* Real and Imag values are in interleaved fashion -*/ -const float32_t twiddleCoef_rfft_32[32] = { -0.0f , 1.0f , -0.195090322f , 0.98078528f , -0.382683432f , 0.923879533f , -0.555570233f , 0.831469612f , -0.707106781f , 0.707106781f , -0.831469612f , 0.555570233f , -0.923879533f , 0.382683432f , -0.98078528f , 0.195090322f , -1.0f , 0.0f , -0.98078528f , -0.195090322f , -0.923879533f , -0.382683432f , -0.831469612f , -0.555570233f , -0.707106781f , -0.707106781f , -0.555570233f , -0.831469612f , -0.382683432f , -0.923879533f , -0.195090322f , -0.98078528f -}; - -const float32_t twiddleCoef_rfft_64[64] = { -0.0f, 1.0f, -0.098017140329561f, 0.995184726672197f, -0.195090322016128f, 0.98078528040323f, -0.290284677254462f, 0.956940335732209f, -0.38268343236509f, 0.923879532511287f, -0.471396736825998f, 0.881921264348355f, -0.555570233019602f, 0.831469612302545f, -0.634393284163645f, 0.773010453362737f, -0.707106781186547f, 0.707106781186548f, -0.773010453362737f, 0.634393284163645f, -0.831469612302545f, 0.555570233019602f, -0.881921264348355f, 0.471396736825998f, -0.923879532511287f, 0.38268343236509f, -0.956940335732209f, 0.290284677254462f, -0.98078528040323f, 0.195090322016128f, -0.995184726672197f, 0.098017140329561f, -1.0f, 0.0f, -0.995184726672197f, -0.098017140329561f, -0.98078528040323f, -0.195090322016128f, -0.956940335732209f, -0.290284677254462f, -0.923879532511287f, -0.38268343236509f, -0.881921264348355f, -0.471396736825998f, -0.831469612302545f, -0.555570233019602f, -0.773010453362737f, -0.634393284163645f, -0.707106781186548f, -0.707106781186547f, -0.634393284163645f, -0.773010453362737f, -0.555570233019602f, -0.831469612302545f, -0.471396736825998f, -0.881921264348355f, -0.38268343236509f, -0.923879532511287f, -0.290284677254462f, -0.956940335732209f, -0.195090322016129f, -0.98078528040323f, -0.098017140329561f, -0.995184726672197f -}; - -const float32_t twiddleCoef_rfft_128[128] = { - 0.000000000f, 1.000000000f, - 0.049067674f, 0.998795456f, - 0.098017140f, 0.995184727f, - 0.146730474f, 0.989176510f, - 0.195090322f, 0.980785280f, - 0.242980180f, 0.970031253f, - 0.290284677f, 0.956940336f, - 0.336889853f, 0.941544065f, - 0.382683432f, 0.923879533f, - 0.427555093f, 0.903989293f, - 0.471396737f, 0.881921264f, - 0.514102744f, 0.857728610f, - 0.555570233f, 0.831469612f, - 0.595699304f, 0.803207531f, - 0.634393284f, 0.773010453f, - 0.671558955f, 0.740951125f, - 0.707106781f, 0.707106781f, - 0.740951125f, 0.671558955f, - 0.773010453f, 0.634393284f, - 0.803207531f, 0.595699304f, - 0.831469612f, 0.555570233f, - 0.857728610f, 0.514102744f, - 0.881921264f, 0.471396737f, - 0.903989293f, 0.427555093f, - 0.923879533f, 0.382683432f, - 0.941544065f, 0.336889853f, - 0.956940336f, 0.290284677f, - 0.970031253f, 0.242980180f, - 0.980785280f, 0.195090322f, - 0.989176510f, 0.146730474f, - 0.995184727f, 0.098017140f, - 0.998795456f, 0.049067674f, - 1.000000000f, 0.000000000f, - 0.998795456f, -0.049067674f, - 0.995184727f, -0.098017140f, - 0.989176510f, -0.146730474f, - 0.980785280f, -0.195090322f, - 0.970031253f, -0.242980180f, - 0.956940336f, -0.290284677f, - 0.941544065f, -0.336889853f, - 0.923879533f, -0.382683432f, - 0.903989293f, -0.427555093f, - 0.881921264f, -0.471396737f, - 0.857728610f, -0.514102744f, - 0.831469612f, -0.555570233f, - 0.803207531f, -0.595699304f, - 0.773010453f, -0.634393284f, - 0.740951125f, -0.671558955f, - 0.707106781f, -0.707106781f, - 0.671558955f, -0.740951125f, - 0.634393284f, -0.773010453f, - 0.595699304f, -0.803207531f, - 0.555570233f, -0.831469612f, - 0.514102744f, -0.857728610f, - 0.471396737f, -0.881921264f, - 0.427555093f, -0.903989293f, - 0.382683432f, -0.923879533f, - 0.336889853f, -0.941544065f, - 0.290284677f, -0.956940336f, - 0.242980180f, -0.970031253f, - 0.195090322f, -0.980785280f, - 0.146730474f, -0.989176510f, - 0.098017140f, -0.995184727f, - 0.049067674f, -0.998795456f -}; - -const float32_t twiddleCoef_rfft_256[256] = { - 0.000000000f, 1.000000000f, - 0.024541229f, 0.999698819f, - 0.049067674f, 0.998795456f, - 0.073564564f, 0.997290457f, - 0.098017140f, 0.995184727f, - 0.122410675f, 0.992479535f, - 0.146730474f, 0.989176510f, - 0.170961889f, 0.985277642f, - 0.195090322f, 0.980785280f, - 0.219101240f, 0.975702130f, - 0.242980180f, 0.970031253f, - 0.266712757f, 0.963776066f, - 0.290284677f, 0.956940336f, - 0.313681740f, 0.949528181f, - 0.336889853f, 0.941544065f, - 0.359895037f, 0.932992799f, - 0.382683432f, 0.923879533f, - 0.405241314f, 0.914209756f, - 0.427555093f, 0.903989293f, - 0.449611330f, 0.893224301f, - 0.471396737f, 0.881921264f, - 0.492898192f, 0.870086991f, - 0.514102744f, 0.857728610f, - 0.534997620f, 0.844853565f, - 0.555570233f, 0.831469612f, - 0.575808191f, 0.817584813f, - 0.595699304f, 0.803207531f, - 0.615231591f, 0.788346428f, - 0.634393284f, 0.773010453f, - 0.653172843f, 0.757208847f, - 0.671558955f, 0.740951125f, - 0.689540545f, 0.724247083f, - 0.707106781f, 0.707106781f, - 0.724247083f, 0.689540545f, - 0.740951125f, 0.671558955f, - 0.757208847f, 0.653172843f, - 0.773010453f, 0.634393284f, - 0.788346428f, 0.615231591f, - 0.803207531f, 0.595699304f, - 0.817584813f, 0.575808191f, - 0.831469612f, 0.555570233f, - 0.844853565f, 0.534997620f, - 0.857728610f, 0.514102744f, - 0.870086991f, 0.492898192f, - 0.881921264f, 0.471396737f, - 0.893224301f, 0.449611330f, - 0.903989293f, 0.427555093f, - 0.914209756f, 0.405241314f, - 0.923879533f, 0.382683432f, - 0.932992799f, 0.359895037f, - 0.941544065f, 0.336889853f, - 0.949528181f, 0.313681740f, - 0.956940336f, 0.290284677f, - 0.963776066f, 0.266712757f, - 0.970031253f, 0.242980180f, - 0.975702130f, 0.219101240f, - 0.980785280f, 0.195090322f, - 0.985277642f, 0.170961889f, - 0.989176510f, 0.146730474f, - 0.992479535f, 0.122410675f, - 0.995184727f, 0.098017140f, - 0.997290457f, 0.073564564f, - 0.998795456f, 0.049067674f, - 0.999698819f, 0.024541229f, - 1.000000000f, 0.000000000f, - 0.999698819f, -0.024541229f, - 0.998795456f, -0.049067674f, - 0.997290457f, -0.073564564f, - 0.995184727f, -0.098017140f, - 0.992479535f, -0.122410675f, - 0.989176510f, -0.146730474f, - 0.985277642f, -0.170961889f, - 0.980785280f, -0.195090322f, - 0.975702130f, -0.219101240f, - 0.970031253f, -0.242980180f, - 0.963776066f, -0.266712757f, - 0.956940336f, -0.290284677f, - 0.949528181f, -0.313681740f, - 0.941544065f, -0.336889853f, - 0.932992799f, -0.359895037f, - 0.923879533f, -0.382683432f, - 0.914209756f, -0.405241314f, - 0.903989293f, -0.427555093f, - 0.893224301f, -0.449611330f, - 0.881921264f, -0.471396737f, - 0.870086991f, -0.492898192f, - 0.857728610f, -0.514102744f, - 0.844853565f, -0.534997620f, - 0.831469612f, -0.555570233f, - 0.817584813f, -0.575808191f, - 0.803207531f, -0.595699304f, - 0.788346428f, -0.615231591f, - 0.773010453f, -0.634393284f, - 0.757208847f, -0.653172843f, - 0.740951125f, -0.671558955f, - 0.724247083f, -0.689540545f, - 0.707106781f, -0.707106781f, - 0.689540545f, -0.724247083f, - 0.671558955f, -0.740951125f, - 0.653172843f, -0.757208847f, - 0.634393284f, -0.773010453f, - 0.615231591f, -0.788346428f, - 0.595699304f, -0.803207531f, - 0.575808191f, -0.817584813f, - 0.555570233f, -0.831469612f, - 0.534997620f, -0.844853565f, - 0.514102744f, -0.857728610f, - 0.492898192f, -0.870086991f, - 0.471396737f, -0.881921264f, - 0.449611330f, -0.893224301f, - 0.427555093f, -0.903989293f, - 0.405241314f, -0.914209756f, - 0.382683432f, -0.923879533f, - 0.359895037f, -0.932992799f, - 0.336889853f, -0.941544065f, - 0.313681740f, -0.949528181f, - 0.290284677f, -0.956940336f, - 0.266712757f, -0.963776066f, - 0.242980180f, -0.970031253f, - 0.219101240f, -0.975702130f, - 0.195090322f, -0.980785280f, - 0.170961889f, -0.985277642f, - 0.146730474f, -0.989176510f, - 0.122410675f, -0.992479535f, - 0.098017140f, -0.995184727f, - 0.073564564f, -0.997290457f, - 0.049067674f, -0.998795456f, - 0.024541229f, -0.999698819f -}; - -const float32_t twiddleCoef_rfft_512[512] = { - 0.000000000f, 1.000000000f, - 0.012271538f, 0.999924702f, - 0.024541229f, 0.999698819f, - 0.036807223f, 0.999322385f, - 0.049067674f, 0.998795456f, - 0.061320736f, 0.998118113f, - 0.073564564f, 0.997290457f, - 0.085797312f, 0.996312612f, - 0.098017140f, 0.995184727f, - 0.110222207f, 0.993906970f, - 0.122410675f, 0.992479535f, - 0.134580709f, 0.990902635f, - 0.146730474f, 0.989176510f, - 0.158858143f, 0.987301418f, - 0.170961889f, 0.985277642f, - 0.183039888f, 0.983105487f, - 0.195090322f, 0.980785280f, - 0.207111376f, 0.978317371f, - 0.219101240f, 0.975702130f, - 0.231058108f, 0.972939952f, - 0.242980180f, 0.970031253f, - 0.254865660f, 0.966976471f, - 0.266712757f, 0.963776066f, - 0.278519689f, 0.960430519f, - 0.290284677f, 0.956940336f, - 0.302005949f, 0.953306040f, - 0.313681740f, 0.949528181f, - 0.325310292f, 0.945607325f, - 0.336889853f, 0.941544065f, - 0.348418680f, 0.937339012f, - 0.359895037f, 0.932992799f, - 0.371317194f, 0.928506080f, - 0.382683432f, 0.923879533f, - 0.393992040f, 0.919113852f, - 0.405241314f, 0.914209756f, - 0.416429560f, 0.909167983f, - 0.427555093f, 0.903989293f, - 0.438616239f, 0.898674466f, - 0.449611330f, 0.893224301f, - 0.460538711f, 0.887639620f, - 0.471396737f, 0.881921264f, - 0.482183772f, 0.876070094f, - 0.492898192f, 0.870086991f, - 0.503538384f, 0.863972856f, - 0.514102744f, 0.857728610f, - 0.524589683f, 0.851355193f, - 0.534997620f, 0.844853565f, - 0.545324988f, 0.838224706f, - 0.555570233f, 0.831469612f, - 0.565731811f, 0.824589303f, - 0.575808191f, 0.817584813f, - 0.585797857f, 0.810457198f, - 0.595699304f, 0.803207531f, - 0.605511041f, 0.795836905f, - 0.615231591f, 0.788346428f, - 0.624859488f, 0.780737229f, - 0.634393284f, 0.773010453f, - 0.643831543f, 0.765167266f, - 0.653172843f, 0.757208847f, - 0.662415778f, 0.749136395f, - 0.671558955f, 0.740951125f, - 0.680600998f, 0.732654272f, - 0.689540545f, 0.724247083f, - 0.698376249f, 0.715730825f, - 0.707106781f, 0.707106781f, - 0.715730825f, 0.698376249f, - 0.724247083f, 0.689540545f, - 0.732654272f, 0.680600998f, - 0.740951125f, 0.671558955f, - 0.749136395f, 0.662415778f, - 0.757208847f, 0.653172843f, - 0.765167266f, 0.643831543f, - 0.773010453f, 0.634393284f, - 0.780737229f, 0.624859488f, - 0.788346428f, 0.615231591f, - 0.795836905f, 0.605511041f, - 0.803207531f, 0.595699304f, - 0.810457198f, 0.585797857f, - 0.817584813f, 0.575808191f, - 0.824589303f, 0.565731811f, - 0.831469612f, 0.555570233f, - 0.838224706f, 0.545324988f, - 0.844853565f, 0.534997620f, - 0.851355193f, 0.524589683f, - 0.857728610f, 0.514102744f, - 0.863972856f, 0.503538384f, - 0.870086991f, 0.492898192f, - 0.876070094f, 0.482183772f, - 0.881921264f, 0.471396737f, - 0.887639620f, 0.460538711f, - 0.893224301f, 0.449611330f, - 0.898674466f, 0.438616239f, - 0.903989293f, 0.427555093f, - 0.909167983f, 0.416429560f, - 0.914209756f, 0.405241314f, - 0.919113852f, 0.393992040f, - 0.923879533f, 0.382683432f, - 0.928506080f, 0.371317194f, - 0.932992799f, 0.359895037f, - 0.937339012f, 0.348418680f, - 0.941544065f, 0.336889853f, - 0.945607325f, 0.325310292f, - 0.949528181f, 0.313681740f, - 0.953306040f, 0.302005949f, - 0.956940336f, 0.290284677f, - 0.960430519f, 0.278519689f, - 0.963776066f, 0.266712757f, - 0.966976471f, 0.254865660f, - 0.970031253f, 0.242980180f, - 0.972939952f, 0.231058108f, - 0.975702130f, 0.219101240f, - 0.978317371f, 0.207111376f, - 0.980785280f, 0.195090322f, - 0.983105487f, 0.183039888f, - 0.985277642f, 0.170961889f, - 0.987301418f, 0.158858143f, - 0.989176510f, 0.146730474f, - 0.990902635f, 0.134580709f, - 0.992479535f, 0.122410675f, - 0.993906970f, 0.110222207f, - 0.995184727f, 0.098017140f, - 0.996312612f, 0.085797312f, - 0.997290457f, 0.073564564f, - 0.998118113f, 0.061320736f, - 0.998795456f, 0.049067674f, - 0.999322385f, 0.036807223f, - 0.999698819f, 0.024541229f, - 0.999924702f, 0.012271538f, - 1.000000000f, 0.000000000f, - 0.999924702f, -0.012271538f, - 0.999698819f, -0.024541229f, - 0.999322385f, -0.036807223f, - 0.998795456f, -0.049067674f, - 0.998118113f, -0.061320736f, - 0.997290457f, -0.073564564f, - 0.996312612f, -0.085797312f, - 0.995184727f, -0.098017140f, - 0.993906970f, -0.110222207f, - 0.992479535f, -0.122410675f, - 0.990902635f, -0.134580709f, - 0.989176510f, -0.146730474f, - 0.987301418f, -0.158858143f, - 0.985277642f, -0.170961889f, - 0.983105487f, -0.183039888f, - 0.980785280f, -0.195090322f, - 0.978317371f, -0.207111376f, - 0.975702130f, -0.219101240f, - 0.972939952f, -0.231058108f, - 0.970031253f, -0.242980180f, - 0.966976471f, -0.254865660f, - 0.963776066f, -0.266712757f, - 0.960430519f, -0.278519689f, - 0.956940336f, -0.290284677f, - 0.953306040f, -0.302005949f, - 0.949528181f, -0.313681740f, - 0.945607325f, -0.325310292f, - 0.941544065f, -0.336889853f, - 0.937339012f, -0.348418680f, - 0.932992799f, -0.359895037f, - 0.928506080f, -0.371317194f, - 0.923879533f, -0.382683432f, - 0.919113852f, -0.393992040f, - 0.914209756f, -0.405241314f, - 0.909167983f, -0.416429560f, - 0.903989293f, -0.427555093f, - 0.898674466f, -0.438616239f, - 0.893224301f, -0.449611330f, - 0.887639620f, -0.460538711f, - 0.881921264f, -0.471396737f, - 0.876070094f, -0.482183772f, - 0.870086991f, -0.492898192f, - 0.863972856f, -0.503538384f, - 0.857728610f, -0.514102744f, - 0.851355193f, -0.524589683f, - 0.844853565f, -0.534997620f, - 0.838224706f, -0.545324988f, - 0.831469612f, -0.555570233f, - 0.824589303f, -0.565731811f, - 0.817584813f, -0.575808191f, - 0.810457198f, -0.585797857f, - 0.803207531f, -0.595699304f, - 0.795836905f, -0.605511041f, - 0.788346428f, -0.615231591f, - 0.780737229f, -0.624859488f, - 0.773010453f, -0.634393284f, - 0.765167266f, -0.643831543f, - 0.757208847f, -0.653172843f, - 0.749136395f, -0.662415778f, - 0.740951125f, -0.671558955f, - 0.732654272f, -0.680600998f, - 0.724247083f, -0.689540545f, - 0.715730825f, -0.698376249f, - 0.707106781f, -0.707106781f, - 0.698376249f, -0.715730825f, - 0.689540545f, -0.724247083f, - 0.680600998f, -0.732654272f, - 0.671558955f, -0.740951125f, - 0.662415778f, -0.749136395f, - 0.653172843f, -0.757208847f, - 0.643831543f, -0.765167266f, - 0.634393284f, -0.773010453f, - 0.624859488f, -0.780737229f, - 0.615231591f, -0.788346428f, - 0.605511041f, -0.795836905f, - 0.595699304f, -0.803207531f, - 0.585797857f, -0.810457198f, - 0.575808191f, -0.817584813f, - 0.565731811f, -0.824589303f, - 0.555570233f, -0.831469612f, - 0.545324988f, -0.838224706f, - 0.534997620f, -0.844853565f, - 0.524589683f, -0.851355193f, - 0.514102744f, -0.857728610f, - 0.503538384f, -0.863972856f, - 0.492898192f, -0.870086991f, - 0.482183772f, -0.876070094f, - 0.471396737f, -0.881921264f, - 0.460538711f, -0.887639620f, - 0.449611330f, -0.893224301f, - 0.438616239f, -0.898674466f, - 0.427555093f, -0.903989293f, - 0.416429560f, -0.909167983f, - 0.405241314f, -0.914209756f, - 0.393992040f, -0.919113852f, - 0.382683432f, -0.923879533f, - 0.371317194f, -0.928506080f, - 0.359895037f, -0.932992799f, - 0.348418680f, -0.937339012f, - 0.336889853f, -0.941544065f, - 0.325310292f, -0.945607325f, - 0.313681740f, -0.949528181f, - 0.302005949f, -0.953306040f, - 0.290284677f, -0.956940336f, - 0.278519689f, -0.960430519f, - 0.266712757f, -0.963776066f, - 0.254865660f, -0.966976471f, - 0.242980180f, -0.970031253f, - 0.231058108f, -0.972939952f, - 0.219101240f, -0.975702130f, - 0.207111376f, -0.978317371f, - 0.195090322f, -0.980785280f, - 0.183039888f, -0.983105487f, - 0.170961889f, -0.985277642f, - 0.158858143f, -0.987301418f, - 0.146730474f, -0.989176510f, - 0.134580709f, -0.990902635f, - 0.122410675f, -0.992479535f, - 0.110222207f, -0.993906970f, - 0.098017140f, -0.995184727f, - 0.085797312f, -0.996312612f, - 0.073564564f, -0.997290457f, - 0.061320736f, -0.998118113f, - 0.049067674f, -0.998795456f, - 0.036807223f, -0.999322385f, - 0.024541229f, -0.999698819f, - 0.012271538f, -0.999924702f -}; - -const float32_t twiddleCoef_rfft_1024[1024] = { - 0.000000000f, 1.000000000f, - 0.006135885f, 0.999981175f, - 0.012271538f, 0.999924702f, - 0.018406730f, 0.999830582f, - 0.024541229f, 0.999698819f, - 0.030674803f, 0.999529418f, - 0.036807223f, 0.999322385f, - 0.042938257f, 0.999077728f, - 0.049067674f, 0.998795456f, - 0.055195244f, 0.998475581f, - 0.061320736f, 0.998118113f, - 0.067443920f, 0.997723067f, - 0.073564564f, 0.997290457f, - 0.079682438f, 0.996820299f, - 0.085797312f, 0.996312612f, - 0.091908956f, 0.995767414f, - 0.098017140f, 0.995184727f, - 0.104121634f, 0.994564571f, - 0.110222207f, 0.993906970f, - 0.116318631f, 0.993211949f, - 0.122410675f, 0.992479535f, - 0.128498111f, 0.991709754f, - 0.134580709f, 0.990902635f, - 0.140658239f, 0.990058210f, - 0.146730474f, 0.989176510f, - 0.152797185f, 0.988257568f, - 0.158858143f, 0.987301418f, - 0.164913120f, 0.986308097f, - 0.170961889f, 0.985277642f, - 0.177004220f, 0.984210092f, - 0.183039888f, 0.983105487f, - 0.189068664f, 0.981963869f, - 0.195090322f, 0.980785280f, - 0.201104635f, 0.979569766f, - 0.207111376f, 0.978317371f, - 0.213110320f, 0.977028143f, - 0.219101240f, 0.975702130f, - 0.225083911f, 0.974339383f, - 0.231058108f, 0.972939952f, - 0.237023606f, 0.971503891f, - 0.242980180f, 0.970031253f, - 0.248927606f, 0.968522094f, - 0.254865660f, 0.966976471f, - 0.260794118f, 0.965394442f, - 0.266712757f, 0.963776066f, - 0.272621355f, 0.962121404f, - 0.278519689f, 0.960430519f, - 0.284407537f, 0.958703475f, - 0.290284677f, 0.956940336f, - 0.296150888f, 0.955141168f, - 0.302005949f, 0.953306040f, - 0.307849640f, 0.951435021f, - 0.313681740f, 0.949528181f, - 0.319502031f, 0.947585591f, - 0.325310292f, 0.945607325f, - 0.331106306f, 0.943593458f, - 0.336889853f, 0.941544065f, - 0.342660717f, 0.939459224f, - 0.348418680f, 0.937339012f, - 0.354163525f, 0.935183510f, - 0.359895037f, 0.932992799f, - 0.365612998f, 0.930766961f, - 0.371317194f, 0.928506080f, - 0.377007410f, 0.926210242f, - 0.382683432f, 0.923879533f, - 0.388345047f, 0.921514039f, - 0.393992040f, 0.919113852f, - 0.399624200f, 0.916679060f, - 0.405241314f, 0.914209756f, - 0.410843171f, 0.911706032f, - 0.416429560f, 0.909167983f, - 0.422000271f, 0.906595705f, - 0.427555093f, 0.903989293f, - 0.433093819f, 0.901348847f, - 0.438616239f, 0.898674466f, - 0.444122145f, 0.895966250f, - 0.449611330f, 0.893224301f, - 0.455083587f, 0.890448723f, - 0.460538711f, 0.887639620f, - 0.465976496f, 0.884797098f, - 0.471396737f, 0.881921264f, - 0.476799230f, 0.879012226f, - 0.482183772f, 0.876070094f, - 0.487550160f, 0.873094978f, - 0.492898192f, 0.870086991f, - 0.498227667f, 0.867046246f, - 0.503538384f, 0.863972856f, - 0.508830143f, 0.860866939f, - 0.514102744f, 0.857728610f, - 0.519355990f, 0.854557988f, - 0.524589683f, 0.851355193f, - 0.529803625f, 0.848120345f, - 0.534997620f, 0.844853565f, - 0.540171473f, 0.841554977f, - 0.545324988f, 0.838224706f, - 0.550457973f, 0.834862875f, - 0.555570233f, 0.831469612f, - 0.560661576f, 0.828045045f, - 0.565731811f, 0.824589303f, - 0.570780746f, 0.821102515f, - 0.575808191f, 0.817584813f, - 0.580813958f, 0.814036330f, - 0.585797857f, 0.810457198f, - 0.590759702f, 0.806847554f, - 0.595699304f, 0.803207531f, - 0.600616479f, 0.799537269f, - 0.605511041f, 0.795836905f, - 0.610382806f, 0.792106577f, - 0.615231591f, 0.788346428f, - 0.620057212f, 0.784556597f, - 0.624859488f, 0.780737229f, - 0.629638239f, 0.776888466f, - 0.634393284f, 0.773010453f, - 0.639124445f, 0.769103338f, - 0.643831543f, 0.765167266f, - 0.648514401f, 0.761202385f, - 0.653172843f, 0.757208847f, - 0.657806693f, 0.753186799f, - 0.662415778f, 0.749136395f, - 0.666999922f, 0.745057785f, - 0.671558955f, 0.740951125f, - 0.676092704f, 0.736816569f, - 0.680600998f, 0.732654272f, - 0.685083668f, 0.728464390f, - 0.689540545f, 0.724247083f, - 0.693971461f, 0.720002508f, - 0.698376249f, 0.715730825f, - 0.702754744f, 0.711432196f, - 0.707106781f, 0.707106781f, - 0.711432196f, 0.702754744f, - 0.715730825f, 0.698376249f, - 0.720002508f, 0.693971461f, - 0.724247083f, 0.689540545f, - 0.728464390f, 0.685083668f, - 0.732654272f, 0.680600998f, - 0.736816569f, 0.676092704f, - 0.740951125f, 0.671558955f, - 0.745057785f, 0.666999922f, - 0.749136395f, 0.662415778f, - 0.753186799f, 0.657806693f, - 0.757208847f, 0.653172843f, - 0.761202385f, 0.648514401f, - 0.765167266f, 0.643831543f, - 0.769103338f, 0.639124445f, - 0.773010453f, 0.634393284f, - 0.776888466f, 0.629638239f, - 0.780737229f, 0.624859488f, - 0.784556597f, 0.620057212f, - 0.788346428f, 0.615231591f, - 0.792106577f, 0.610382806f, - 0.795836905f, 0.605511041f, - 0.799537269f, 0.600616479f, - 0.803207531f, 0.595699304f, - 0.806847554f, 0.590759702f, - 0.810457198f, 0.585797857f, - 0.814036330f, 0.580813958f, - 0.817584813f, 0.575808191f, - 0.821102515f, 0.570780746f, - 0.824589303f, 0.565731811f, - 0.828045045f, 0.560661576f, - 0.831469612f, 0.555570233f, - 0.834862875f, 0.550457973f, - 0.838224706f, 0.545324988f, - 0.841554977f, 0.540171473f, - 0.844853565f, 0.534997620f, - 0.848120345f, 0.529803625f, - 0.851355193f, 0.524589683f, - 0.854557988f, 0.519355990f, - 0.857728610f, 0.514102744f, - 0.860866939f, 0.508830143f, - 0.863972856f, 0.503538384f, - 0.867046246f, 0.498227667f, - 0.870086991f, 0.492898192f, - 0.873094978f, 0.487550160f, - 0.876070094f, 0.482183772f, - 0.879012226f, 0.476799230f, - 0.881921264f, 0.471396737f, - 0.884797098f, 0.465976496f, - 0.887639620f, 0.460538711f, - 0.890448723f, 0.455083587f, - 0.893224301f, 0.449611330f, - 0.895966250f, 0.444122145f, - 0.898674466f, 0.438616239f, - 0.901348847f, 0.433093819f, - 0.903989293f, 0.427555093f, - 0.906595705f, 0.422000271f, - 0.909167983f, 0.416429560f, - 0.911706032f, 0.410843171f, - 0.914209756f, 0.405241314f, - 0.916679060f, 0.399624200f, - 0.919113852f, 0.393992040f, - 0.921514039f, 0.388345047f, - 0.923879533f, 0.382683432f, - 0.926210242f, 0.377007410f, - 0.928506080f, 0.371317194f, - 0.930766961f, 0.365612998f, - 0.932992799f, 0.359895037f, - 0.935183510f, 0.354163525f, - 0.937339012f, 0.348418680f, - 0.939459224f, 0.342660717f, - 0.941544065f, 0.336889853f, - 0.943593458f, 0.331106306f, - 0.945607325f, 0.325310292f, - 0.947585591f, 0.319502031f, - 0.949528181f, 0.313681740f, - 0.951435021f, 0.307849640f, - 0.953306040f, 0.302005949f, - 0.955141168f, 0.296150888f, - 0.956940336f, 0.290284677f, - 0.958703475f, 0.284407537f, - 0.960430519f, 0.278519689f, - 0.962121404f, 0.272621355f, - 0.963776066f, 0.266712757f, - 0.965394442f, 0.260794118f, - 0.966976471f, 0.254865660f, - 0.968522094f, 0.248927606f, - 0.970031253f, 0.242980180f, - 0.971503891f, 0.237023606f, - 0.972939952f, 0.231058108f, - 0.974339383f, 0.225083911f, - 0.975702130f, 0.219101240f, - 0.977028143f, 0.213110320f, - 0.978317371f, 0.207111376f, - 0.979569766f, 0.201104635f, - 0.980785280f, 0.195090322f, - 0.981963869f, 0.189068664f, - 0.983105487f, 0.183039888f, - 0.984210092f, 0.177004220f, - 0.985277642f, 0.170961889f, - 0.986308097f, 0.164913120f, - 0.987301418f, 0.158858143f, - 0.988257568f, 0.152797185f, - 0.989176510f, 0.146730474f, - 0.990058210f, 0.140658239f, - 0.990902635f, 0.134580709f, - 0.991709754f, 0.128498111f, - 0.992479535f, 0.122410675f, - 0.993211949f, 0.116318631f, - 0.993906970f, 0.110222207f, - 0.994564571f, 0.104121634f, - 0.995184727f, 0.098017140f, - 0.995767414f, 0.091908956f, - 0.996312612f, 0.085797312f, - 0.996820299f, 0.079682438f, - 0.997290457f, 0.073564564f, - 0.997723067f, 0.067443920f, - 0.998118113f, 0.061320736f, - 0.998475581f, 0.055195244f, - 0.998795456f, 0.049067674f, - 0.999077728f, 0.042938257f, - 0.999322385f, 0.036807223f, - 0.999529418f, 0.030674803f, - 0.999698819f, 0.024541229f, - 0.999830582f, 0.018406730f, - 0.999924702f, 0.012271538f, - 0.999981175f, 0.006135885f, - 1.000000000f, 0.000000000f, - 0.999981175f, -0.006135885f, - 0.999924702f, -0.012271538f, - 0.999830582f, -0.018406730f, - 0.999698819f, -0.024541229f, - 0.999529418f, -0.030674803f, - 0.999322385f, -0.036807223f, - 0.999077728f, -0.042938257f, - 0.998795456f, -0.049067674f, - 0.998475581f, -0.055195244f, - 0.998118113f, -0.061320736f, - 0.997723067f, -0.067443920f, - 0.997290457f, -0.073564564f, - 0.996820299f, -0.079682438f, - 0.996312612f, -0.085797312f, - 0.995767414f, -0.091908956f, - 0.995184727f, -0.098017140f, - 0.994564571f, -0.104121634f, - 0.993906970f, -0.110222207f, - 0.993211949f, -0.116318631f, - 0.992479535f, -0.122410675f, - 0.991709754f, -0.128498111f, - 0.990902635f, -0.134580709f, - 0.990058210f, -0.140658239f, - 0.989176510f, -0.146730474f, - 0.988257568f, -0.152797185f, - 0.987301418f, -0.158858143f, - 0.986308097f, -0.164913120f, - 0.985277642f, -0.170961889f, - 0.984210092f, -0.177004220f, - 0.983105487f, -0.183039888f, - 0.981963869f, -0.189068664f, - 0.980785280f, -0.195090322f, - 0.979569766f, -0.201104635f, - 0.978317371f, -0.207111376f, - 0.977028143f, -0.213110320f, - 0.975702130f, -0.219101240f, - 0.974339383f, -0.225083911f, - 0.972939952f, -0.231058108f, - 0.971503891f, -0.237023606f, - 0.970031253f, -0.242980180f, - 0.968522094f, -0.248927606f, - 0.966976471f, -0.254865660f, - 0.965394442f, -0.260794118f, - 0.963776066f, -0.266712757f, - 0.962121404f, -0.272621355f, - 0.960430519f, -0.278519689f, - 0.958703475f, -0.284407537f, - 0.956940336f, -0.290284677f, - 0.955141168f, -0.296150888f, - 0.953306040f, -0.302005949f, - 0.951435021f, -0.307849640f, - 0.949528181f, -0.313681740f, - 0.947585591f, -0.319502031f, - 0.945607325f, -0.325310292f, - 0.943593458f, -0.331106306f, - 0.941544065f, -0.336889853f, - 0.939459224f, -0.342660717f, - 0.937339012f, -0.348418680f, - 0.935183510f, -0.354163525f, - 0.932992799f, -0.359895037f, - 0.930766961f, -0.365612998f, - 0.928506080f, -0.371317194f, - 0.926210242f, -0.377007410f, - 0.923879533f, -0.382683432f, - 0.921514039f, -0.388345047f, - 0.919113852f, -0.393992040f, - 0.916679060f, -0.399624200f, - 0.914209756f, -0.405241314f, - 0.911706032f, -0.410843171f, - 0.909167983f, -0.416429560f, - 0.906595705f, -0.422000271f, - 0.903989293f, -0.427555093f, - 0.901348847f, -0.433093819f, - 0.898674466f, -0.438616239f, - 0.895966250f, -0.444122145f, - 0.893224301f, -0.449611330f, - 0.890448723f, -0.455083587f, - 0.887639620f, -0.460538711f, - 0.884797098f, -0.465976496f, - 0.881921264f, -0.471396737f, - 0.879012226f, -0.476799230f, - 0.876070094f, -0.482183772f, - 0.873094978f, -0.487550160f, - 0.870086991f, -0.492898192f, - 0.867046246f, -0.498227667f, - 0.863972856f, -0.503538384f, - 0.860866939f, -0.508830143f, - 0.857728610f, -0.514102744f, - 0.854557988f, -0.519355990f, - 0.851355193f, -0.524589683f, - 0.848120345f, -0.529803625f, - 0.844853565f, -0.534997620f, - 0.841554977f, -0.540171473f, - 0.838224706f, -0.545324988f, - 0.834862875f, -0.550457973f, - 0.831469612f, -0.555570233f, - 0.828045045f, -0.560661576f, - 0.824589303f, -0.565731811f, - 0.821102515f, -0.570780746f, - 0.817584813f, -0.575808191f, - 0.814036330f, -0.580813958f, - 0.810457198f, -0.585797857f, - 0.806847554f, -0.590759702f, - 0.803207531f, -0.595699304f, - 0.799537269f, -0.600616479f, - 0.795836905f, -0.605511041f, - 0.792106577f, -0.610382806f, - 0.788346428f, -0.615231591f, - 0.784556597f, -0.620057212f, - 0.780737229f, -0.624859488f, - 0.776888466f, -0.629638239f, - 0.773010453f, -0.634393284f, - 0.769103338f, -0.639124445f, - 0.765167266f, -0.643831543f, - 0.761202385f, -0.648514401f, - 0.757208847f, -0.653172843f, - 0.753186799f, -0.657806693f, - 0.749136395f, -0.662415778f, - 0.745057785f, -0.666999922f, - 0.740951125f, -0.671558955f, - 0.736816569f, -0.676092704f, - 0.732654272f, -0.680600998f, - 0.728464390f, -0.685083668f, - 0.724247083f, -0.689540545f, - 0.720002508f, -0.693971461f, - 0.715730825f, -0.698376249f, - 0.711432196f, -0.702754744f, - 0.707106781f, -0.707106781f, - 0.702754744f, -0.711432196f, - 0.698376249f, -0.715730825f, - 0.693971461f, -0.720002508f, - 0.689540545f, -0.724247083f, - 0.685083668f, -0.728464390f, - 0.680600998f, -0.732654272f, - 0.676092704f, -0.736816569f, - 0.671558955f, -0.740951125f, - 0.666999922f, -0.745057785f, - 0.662415778f, -0.749136395f, - 0.657806693f, -0.753186799f, - 0.653172843f, -0.757208847f, - 0.648514401f, -0.761202385f, - 0.643831543f, -0.765167266f, - 0.639124445f, -0.769103338f, - 0.634393284f, -0.773010453f, - 0.629638239f, -0.776888466f, - 0.624859488f, -0.780737229f, - 0.620057212f, -0.784556597f, - 0.615231591f, -0.788346428f, - 0.610382806f, -0.792106577f, - 0.605511041f, -0.795836905f, - 0.600616479f, -0.799537269f, - 0.595699304f, -0.803207531f, - 0.590759702f, -0.806847554f, - 0.585797857f, -0.810457198f, - 0.580813958f, -0.814036330f, - 0.575808191f, -0.817584813f, - 0.570780746f, -0.821102515f, - 0.565731811f, -0.824589303f, - 0.560661576f, -0.828045045f, - 0.555570233f, -0.831469612f, - 0.550457973f, -0.834862875f, - 0.545324988f, -0.838224706f, - 0.540171473f, -0.841554977f, - 0.534997620f, -0.844853565f, - 0.529803625f, -0.848120345f, - 0.524589683f, -0.851355193f, - 0.519355990f, -0.854557988f, - 0.514102744f, -0.857728610f, - 0.508830143f, -0.860866939f, - 0.503538384f, -0.863972856f, - 0.498227667f, -0.867046246f, - 0.492898192f, -0.870086991f, - 0.487550160f, -0.873094978f, - 0.482183772f, -0.876070094f, - 0.476799230f, -0.879012226f, - 0.471396737f, -0.881921264f, - 0.465976496f, -0.884797098f, - 0.460538711f, -0.887639620f, - 0.455083587f, -0.890448723f, - 0.449611330f, -0.893224301f, - 0.444122145f, -0.895966250f, - 0.438616239f, -0.898674466f, - 0.433093819f, -0.901348847f, - 0.427555093f, -0.903989293f, - 0.422000271f, -0.906595705f, - 0.416429560f, -0.909167983f, - 0.410843171f, -0.911706032f, - 0.405241314f, -0.914209756f, - 0.399624200f, -0.916679060f, - 0.393992040f, -0.919113852f, - 0.388345047f, -0.921514039f, - 0.382683432f, -0.923879533f, - 0.377007410f, -0.926210242f, - 0.371317194f, -0.928506080f, - 0.365612998f, -0.930766961f, - 0.359895037f, -0.932992799f, - 0.354163525f, -0.935183510f, - 0.348418680f, -0.937339012f, - 0.342660717f, -0.939459224f, - 0.336889853f, -0.941544065f, - 0.331106306f, -0.943593458f, - 0.325310292f, -0.945607325f, - 0.319502031f, -0.947585591f, - 0.313681740f, -0.949528181f, - 0.307849640f, -0.951435021f, - 0.302005949f, -0.953306040f, - 0.296150888f, -0.955141168f, - 0.290284677f, -0.956940336f, - 0.284407537f, -0.958703475f, - 0.278519689f, -0.960430519f, - 0.272621355f, -0.962121404f, - 0.266712757f, -0.963776066f, - 0.260794118f, -0.965394442f, - 0.254865660f, -0.966976471f, - 0.248927606f, -0.968522094f, - 0.242980180f, -0.970031253f, - 0.237023606f, -0.971503891f, - 0.231058108f, -0.972939952f, - 0.225083911f, -0.974339383f, - 0.219101240f, -0.975702130f, - 0.213110320f, -0.977028143f, - 0.207111376f, -0.978317371f, - 0.201104635f, -0.979569766f, - 0.195090322f, -0.980785280f, - 0.189068664f, -0.981963869f, - 0.183039888f, -0.983105487f, - 0.177004220f, -0.984210092f, - 0.170961889f, -0.985277642f, - 0.164913120f, -0.986308097f, - 0.158858143f, -0.987301418f, - 0.152797185f, -0.988257568f, - 0.146730474f, -0.989176510f, - 0.140658239f, -0.990058210f, - 0.134580709f, -0.990902635f, - 0.128498111f, -0.991709754f, - 0.122410675f, -0.992479535f, - 0.116318631f, -0.993211949f, - 0.110222207f, -0.993906970f, - 0.104121634f, -0.994564571f, - 0.098017140f, -0.995184727f, - 0.091908956f, -0.995767414f, - 0.085797312f, -0.996312612f, - 0.079682438f, -0.996820299f, - 0.073564564f, -0.997290457f, - 0.067443920f, -0.997723067f, - 0.061320736f, -0.998118113f, - 0.055195244f, -0.998475581f, - 0.049067674f, -0.998795456f, - 0.042938257f, -0.999077728f, - 0.036807223f, -0.999322385f, - 0.030674803f, -0.999529418f, - 0.024541229f, -0.999698819f, - 0.018406730f, -0.999830582f, - 0.012271538f, -0.999924702f, - 0.006135885f, -0.999981175f -}; - -const float32_t twiddleCoef_rfft_2048[2048] = { - 0.000000000f, 1.000000000f, - 0.003067957f, 0.999995294f, - 0.006135885f, 0.999981175f, - 0.009203755f, 0.999957645f, - 0.012271538f, 0.999924702f, - 0.015339206f, 0.999882347f, - 0.018406730f, 0.999830582f, - 0.021474080f, 0.999769405f, - 0.024541229f, 0.999698819f, - 0.027608146f, 0.999618822f, - 0.030674803f, 0.999529418f, - 0.033741172f, 0.999430605f, - 0.036807223f, 0.999322385f, - 0.039872928f, 0.999204759f, - 0.042938257f, 0.999077728f, - 0.046003182f, 0.998941293f, - 0.049067674f, 0.998795456f, - 0.052131705f, 0.998640218f, - 0.055195244f, 0.998475581f, - 0.058258265f, 0.998301545f, - 0.061320736f, 0.998118113f, - 0.064382631f, 0.997925286f, - 0.067443920f, 0.997723067f, - 0.070504573f, 0.997511456f, - 0.073564564f, 0.997290457f, - 0.076623861f, 0.997060070f, - 0.079682438f, 0.996820299f, - 0.082740265f, 0.996571146f, - 0.085797312f, 0.996312612f, - 0.088853553f, 0.996044701f, - 0.091908956f, 0.995767414f, - 0.094963495f, 0.995480755f, - 0.098017140f, 0.995184727f, - 0.101069863f, 0.994879331f, - 0.104121634f, 0.994564571f, - 0.107172425f, 0.994240449f, - 0.110222207f, 0.993906970f, - 0.113270952f, 0.993564136f, - 0.116318631f, 0.993211949f, - 0.119365215f, 0.992850414f, - 0.122410675f, 0.992479535f, - 0.125454983f, 0.992099313f, - 0.128498111f, 0.991709754f, - 0.131540029f, 0.991310860f, - 0.134580709f, 0.990902635f, - 0.137620122f, 0.990485084f, - 0.140658239f, 0.990058210f, - 0.143695033f, 0.989622017f, - 0.146730474f, 0.989176510f, - 0.149764535f, 0.988721692f, - 0.152797185f, 0.988257568f, - 0.155828398f, 0.987784142f, - 0.158858143f, 0.987301418f, - 0.161886394f, 0.986809402f, - 0.164913120f, 0.986308097f, - 0.167938295f, 0.985797509f, - 0.170961889f, 0.985277642f, - 0.173983873f, 0.984748502f, - 0.177004220f, 0.984210092f, - 0.180022901f, 0.983662419f, - 0.183039888f, 0.983105487f, - 0.186055152f, 0.982539302f, - 0.189068664f, 0.981963869f, - 0.192080397f, 0.981379193f, - 0.195090322f, 0.980785280f, - 0.198098411f, 0.980182136f, - 0.201104635f, 0.979569766f, - 0.204108966f, 0.978948175f, - 0.207111376f, 0.978317371f, - 0.210111837f, 0.977677358f, - 0.213110320f, 0.977028143f, - 0.216106797f, 0.976369731f, - 0.219101240f, 0.975702130f, - 0.222093621f, 0.975025345f, - 0.225083911f, 0.974339383f, - 0.228072083f, 0.973644250f, - 0.231058108f, 0.972939952f, - 0.234041959f, 0.972226497f, - 0.237023606f, 0.971503891f, - 0.240003022f, 0.970772141f, - 0.242980180f, 0.970031253f, - 0.245955050f, 0.969281235f, - 0.248927606f, 0.968522094f, - 0.251897818f, 0.967753837f, - 0.254865660f, 0.966976471f, - 0.257831102f, 0.966190003f, - 0.260794118f, 0.965394442f, - 0.263754679f, 0.964589793f, - 0.266712757f, 0.963776066f, - 0.269668326f, 0.962953267f, - 0.272621355f, 0.962121404f, - 0.275571819f, 0.961280486f, - 0.278519689f, 0.960430519f, - 0.281464938f, 0.959571513f, - 0.284407537f, 0.958703475f, - 0.287347460f, 0.957826413f, - 0.290284677f, 0.956940336f, - 0.293219163f, 0.956045251f, - 0.296150888f, 0.955141168f, - 0.299079826f, 0.954228095f, - 0.302005949f, 0.953306040f, - 0.304929230f, 0.952375013f, - 0.307849640f, 0.951435021f, - 0.310767153f, 0.950486074f, - 0.313681740f, 0.949528181f, - 0.316593376f, 0.948561350f, - 0.319502031f, 0.947585591f, - 0.322407679f, 0.946600913f, - 0.325310292f, 0.945607325f, - 0.328209844f, 0.944604837f, - 0.331106306f, 0.943593458f, - 0.333999651f, 0.942573198f, - 0.336889853f, 0.941544065f, - 0.339776884f, 0.940506071f, - 0.342660717f, 0.939459224f, - 0.345541325f, 0.938403534f, - 0.348418680f, 0.937339012f, - 0.351292756f, 0.936265667f, - 0.354163525f, 0.935183510f, - 0.357030961f, 0.934092550f, - 0.359895037f, 0.932992799f, - 0.362755724f, 0.931884266f, - 0.365612998f, 0.930766961f, - 0.368466830f, 0.929640896f, - 0.371317194f, 0.928506080f, - 0.374164063f, 0.927362526f, - 0.377007410f, 0.926210242f, - 0.379847209f, 0.925049241f, - 0.382683432f, 0.923879533f, - 0.385516054f, 0.922701128f, - 0.388345047f, 0.921514039f, - 0.391170384f, 0.920318277f, - 0.393992040f, 0.919113852f, - 0.396809987f, 0.917900776f, - 0.399624200f, 0.916679060f, - 0.402434651f, 0.915448716f, - 0.405241314f, 0.914209756f, - 0.408044163f, 0.912962190f, - 0.410843171f, 0.911706032f, - 0.413638312f, 0.910441292f, - 0.416429560f, 0.909167983f, - 0.419216888f, 0.907886116f, - 0.422000271f, 0.906595705f, - 0.424779681f, 0.905296759f, - 0.427555093f, 0.903989293f, - 0.430326481f, 0.902673318f, - 0.433093819f, 0.901348847f, - 0.435857080f, 0.900015892f, - 0.438616239f, 0.898674466f, - 0.441371269f, 0.897324581f, - 0.444122145f, 0.895966250f, - 0.446868840f, 0.894599486f, - 0.449611330f, 0.893224301f, - 0.452349587f, 0.891840709f, - 0.455083587f, 0.890448723f, - 0.457813304f, 0.889048356f, - 0.460538711f, 0.887639620f, - 0.463259784f, 0.886222530f, - 0.465976496f, 0.884797098f, - 0.468688822f, 0.883363339f, - 0.471396737f, 0.881921264f, - 0.474100215f, 0.880470889f, - 0.476799230f, 0.879012226f, - 0.479493758f, 0.877545290f, - 0.482183772f, 0.876070094f, - 0.484869248f, 0.874586652f, - 0.487550160f, 0.873094978f, - 0.490226483f, 0.871595087f, - 0.492898192f, 0.870086991f, - 0.495565262f, 0.868570706f, - 0.498227667f, 0.867046246f, - 0.500885383f, 0.865513624f, - 0.503538384f, 0.863972856f, - 0.506186645f, 0.862423956f, - 0.508830143f, 0.860866939f, - 0.511468850f, 0.859301818f, - 0.514102744f, 0.857728610f, - 0.516731799f, 0.856147328f, - 0.519355990f, 0.854557988f, - 0.521975293f, 0.852960605f, - 0.524589683f, 0.851355193f, - 0.527199135f, 0.849741768f, - 0.529803625f, 0.848120345f, - 0.532403128f, 0.846490939f, - 0.534997620f, 0.844853565f, - 0.537587076f, 0.843208240f, - 0.540171473f, 0.841554977f, - 0.542750785f, 0.839893794f, - 0.545324988f, 0.838224706f, - 0.547894059f, 0.836547727f, - 0.550457973f, 0.834862875f, - 0.553016706f, 0.833170165f, - 0.555570233f, 0.831469612f, - 0.558118531f, 0.829761234f, - 0.560661576f, 0.828045045f, - 0.563199344f, 0.826321063f, - 0.565731811f, 0.824589303f, - 0.568258953f, 0.822849781f, - 0.570780746f, 0.821102515f, - 0.573297167f, 0.819347520f, - 0.575808191f, 0.817584813f, - 0.578313796f, 0.815814411f, - 0.580813958f, 0.814036330f, - 0.583308653f, 0.812250587f, - 0.585797857f, 0.810457198f, - 0.588281548f, 0.808656182f, - 0.590759702f, 0.806847554f, - 0.593232295f, 0.805031331f, - 0.595699304f, 0.803207531f, - 0.598160707f, 0.801376172f, - 0.600616479f, 0.799537269f, - 0.603066599f, 0.797690841f, - 0.605511041f, 0.795836905f, - 0.607949785f, 0.793975478f, - 0.610382806f, 0.792106577f, - 0.612810082f, 0.790230221f, - 0.615231591f, 0.788346428f, - 0.617647308f, 0.786455214f, - 0.620057212f, 0.784556597f, - 0.622461279f, 0.782650596f, - 0.624859488f, 0.780737229f, - 0.627251815f, 0.778816512f, - 0.629638239f, 0.776888466f, - 0.632018736f, 0.774953107f, - 0.634393284f, 0.773010453f, - 0.636761861f, 0.771060524f, - 0.639124445f, 0.769103338f, - 0.641481013f, 0.767138912f, - 0.643831543f, 0.765167266f, - 0.646176013f, 0.763188417f, - 0.648514401f, 0.761202385f, - 0.650846685f, 0.759209189f, - 0.653172843f, 0.757208847f, - 0.655492853f, 0.755201377f, - 0.657806693f, 0.753186799f, - 0.660114342f, 0.751165132f, - 0.662415778f, 0.749136395f, - 0.664710978f, 0.747100606f, - 0.666999922f, 0.745057785f, - 0.669282588f, 0.743007952f, - 0.671558955f, 0.740951125f, - 0.673829000f, 0.738887324f, - 0.676092704f, 0.736816569f, - 0.678350043f, 0.734738878f, - 0.680600998f, 0.732654272f, - 0.682845546f, 0.730562769f, - 0.685083668f, 0.728464390f, - 0.687315341f, 0.726359155f, - 0.689540545f, 0.724247083f, - 0.691759258f, 0.722128194f, - 0.693971461f, 0.720002508f, - 0.696177131f, 0.717870045f, - 0.698376249f, 0.715730825f, - 0.700568794f, 0.713584869f, - 0.702754744f, 0.711432196f, - 0.704934080f, 0.709272826f, - 0.707106781f, 0.707106781f, - 0.709272826f, 0.704934080f, - 0.711432196f, 0.702754744f, - 0.713584869f, 0.700568794f, - 0.715730825f, 0.698376249f, - 0.717870045f, 0.696177131f, - 0.720002508f, 0.693971461f, - 0.722128194f, 0.691759258f, - 0.724247083f, 0.689540545f, - 0.726359155f, 0.687315341f, - 0.728464390f, 0.685083668f, - 0.730562769f, 0.682845546f, - 0.732654272f, 0.680600998f, - 0.734738878f, 0.678350043f, - 0.736816569f, 0.676092704f, - 0.738887324f, 0.673829000f, - 0.740951125f, 0.671558955f, - 0.743007952f, 0.669282588f, - 0.745057785f, 0.666999922f, - 0.747100606f, 0.664710978f, - 0.749136395f, 0.662415778f, - 0.751165132f, 0.660114342f, - 0.753186799f, 0.657806693f, - 0.755201377f, 0.655492853f, - 0.757208847f, 0.653172843f, - 0.759209189f, 0.650846685f, - 0.761202385f, 0.648514401f, - 0.763188417f, 0.646176013f, - 0.765167266f, 0.643831543f, - 0.767138912f, 0.641481013f, - 0.769103338f, 0.639124445f, - 0.771060524f, 0.636761861f, - 0.773010453f, 0.634393284f, - 0.774953107f, 0.632018736f, - 0.776888466f, 0.629638239f, - 0.778816512f, 0.627251815f, - 0.780737229f, 0.624859488f, - 0.782650596f, 0.622461279f, - 0.784556597f, 0.620057212f, - 0.786455214f, 0.617647308f, - 0.788346428f, 0.615231591f, - 0.790230221f, 0.612810082f, - 0.792106577f, 0.610382806f, - 0.793975478f, 0.607949785f, - 0.795836905f, 0.605511041f, - 0.797690841f, 0.603066599f, - 0.799537269f, 0.600616479f, - 0.801376172f, 0.598160707f, - 0.803207531f, 0.595699304f, - 0.805031331f, 0.593232295f, - 0.806847554f, 0.590759702f, - 0.808656182f, 0.588281548f, - 0.810457198f, 0.585797857f, - 0.812250587f, 0.583308653f, - 0.814036330f, 0.580813958f, - 0.815814411f, 0.578313796f, - 0.817584813f, 0.575808191f, - 0.819347520f, 0.573297167f, - 0.821102515f, 0.570780746f, - 0.822849781f, 0.568258953f, - 0.824589303f, 0.565731811f, - 0.826321063f, 0.563199344f, - 0.828045045f, 0.560661576f, - 0.829761234f, 0.558118531f, - 0.831469612f, 0.555570233f, - 0.833170165f, 0.553016706f, - 0.834862875f, 0.550457973f, - 0.836547727f, 0.547894059f, - 0.838224706f, 0.545324988f, - 0.839893794f, 0.542750785f, - 0.841554977f, 0.540171473f, - 0.843208240f, 0.537587076f, - 0.844853565f, 0.534997620f, - 0.846490939f, 0.532403128f, - 0.848120345f, 0.529803625f, - 0.849741768f, 0.527199135f, - 0.851355193f, 0.524589683f, - 0.852960605f, 0.521975293f, - 0.854557988f, 0.519355990f, - 0.856147328f, 0.516731799f, - 0.857728610f, 0.514102744f, - 0.859301818f, 0.511468850f, - 0.860866939f, 0.508830143f, - 0.862423956f, 0.506186645f, - 0.863972856f, 0.503538384f, - 0.865513624f, 0.500885383f, - 0.867046246f, 0.498227667f, - 0.868570706f, 0.495565262f, - 0.870086991f, 0.492898192f, - 0.871595087f, 0.490226483f, - 0.873094978f, 0.487550160f, - 0.874586652f, 0.484869248f, - 0.876070094f, 0.482183772f, - 0.877545290f, 0.479493758f, - 0.879012226f, 0.476799230f, - 0.880470889f, 0.474100215f, - 0.881921264f, 0.471396737f, - 0.883363339f, 0.468688822f, - 0.884797098f, 0.465976496f, - 0.886222530f, 0.463259784f, - 0.887639620f, 0.460538711f, - 0.889048356f, 0.457813304f, - 0.890448723f, 0.455083587f, - 0.891840709f, 0.452349587f, - 0.893224301f, 0.449611330f, - 0.894599486f, 0.446868840f, - 0.895966250f, 0.444122145f, - 0.897324581f, 0.441371269f, - 0.898674466f, 0.438616239f, - 0.900015892f, 0.435857080f, - 0.901348847f, 0.433093819f, - 0.902673318f, 0.430326481f, - 0.903989293f, 0.427555093f, - 0.905296759f, 0.424779681f, - 0.906595705f, 0.422000271f, - 0.907886116f, 0.419216888f, - 0.909167983f, 0.416429560f, - 0.910441292f, 0.413638312f, - 0.911706032f, 0.410843171f, - 0.912962190f, 0.408044163f, - 0.914209756f, 0.405241314f, - 0.915448716f, 0.402434651f, - 0.916679060f, 0.399624200f, - 0.917900776f, 0.396809987f, - 0.919113852f, 0.393992040f, - 0.920318277f, 0.391170384f, - 0.921514039f, 0.388345047f, - 0.922701128f, 0.385516054f, - 0.923879533f, 0.382683432f, - 0.925049241f, 0.379847209f, - 0.926210242f, 0.377007410f, - 0.927362526f, 0.374164063f, - 0.928506080f, 0.371317194f, - 0.929640896f, 0.368466830f, - 0.930766961f, 0.365612998f, - 0.931884266f, 0.362755724f, - 0.932992799f, 0.359895037f, - 0.934092550f, 0.357030961f, - 0.935183510f, 0.354163525f, - 0.936265667f, 0.351292756f, - 0.937339012f, 0.348418680f, - 0.938403534f, 0.345541325f, - 0.939459224f, 0.342660717f, - 0.940506071f, 0.339776884f, - 0.941544065f, 0.336889853f, - 0.942573198f, 0.333999651f, - 0.943593458f, 0.331106306f, - 0.944604837f, 0.328209844f, - 0.945607325f, 0.325310292f, - 0.946600913f, 0.322407679f, - 0.947585591f, 0.319502031f, - 0.948561350f, 0.316593376f, - 0.949528181f, 0.313681740f, - 0.950486074f, 0.310767153f, - 0.951435021f, 0.307849640f, - 0.952375013f, 0.304929230f, - 0.953306040f, 0.302005949f, - 0.954228095f, 0.299079826f, - 0.955141168f, 0.296150888f, - 0.956045251f, 0.293219163f, - 0.956940336f, 0.290284677f, - 0.957826413f, 0.287347460f, - 0.958703475f, 0.284407537f, - 0.959571513f, 0.281464938f, - 0.960430519f, 0.278519689f, - 0.961280486f, 0.275571819f, - 0.962121404f, 0.272621355f, - 0.962953267f, 0.269668326f, - 0.963776066f, 0.266712757f, - 0.964589793f, 0.263754679f, - 0.965394442f, 0.260794118f, - 0.966190003f, 0.257831102f, - 0.966976471f, 0.254865660f, - 0.967753837f, 0.251897818f, - 0.968522094f, 0.248927606f, - 0.969281235f, 0.245955050f, - 0.970031253f, 0.242980180f, - 0.970772141f, 0.240003022f, - 0.971503891f, 0.237023606f, - 0.972226497f, 0.234041959f, - 0.972939952f, 0.231058108f, - 0.973644250f, 0.228072083f, - 0.974339383f, 0.225083911f, - 0.975025345f, 0.222093621f, - 0.975702130f, 0.219101240f, - 0.976369731f, 0.216106797f, - 0.977028143f, 0.213110320f, - 0.977677358f, 0.210111837f, - 0.978317371f, 0.207111376f, - 0.978948175f, 0.204108966f, - 0.979569766f, 0.201104635f, - 0.980182136f, 0.198098411f, - 0.980785280f, 0.195090322f, - 0.981379193f, 0.192080397f, - 0.981963869f, 0.189068664f, - 0.982539302f, 0.186055152f, - 0.983105487f, 0.183039888f, - 0.983662419f, 0.180022901f, - 0.984210092f, 0.177004220f, - 0.984748502f, 0.173983873f, - 0.985277642f, 0.170961889f, - 0.985797509f, 0.167938295f, - 0.986308097f, 0.164913120f, - 0.986809402f, 0.161886394f, - 0.987301418f, 0.158858143f, - 0.987784142f, 0.155828398f, - 0.988257568f, 0.152797185f, - 0.988721692f, 0.149764535f, - 0.989176510f, 0.146730474f, - 0.989622017f, 0.143695033f, - 0.990058210f, 0.140658239f, - 0.990485084f, 0.137620122f, - 0.990902635f, 0.134580709f, - 0.991310860f, 0.131540029f, - 0.991709754f, 0.128498111f, - 0.992099313f, 0.125454983f, - 0.992479535f, 0.122410675f, - 0.992850414f, 0.119365215f, - 0.993211949f, 0.116318631f, - 0.993564136f, 0.113270952f, - 0.993906970f, 0.110222207f, - 0.994240449f, 0.107172425f, - 0.994564571f, 0.104121634f, - 0.994879331f, 0.101069863f, - 0.995184727f, 0.098017140f, - 0.995480755f, 0.094963495f, - 0.995767414f, 0.091908956f, - 0.996044701f, 0.088853553f, - 0.996312612f, 0.085797312f, - 0.996571146f, 0.082740265f, - 0.996820299f, 0.079682438f, - 0.997060070f, 0.076623861f, - 0.997290457f, 0.073564564f, - 0.997511456f, 0.070504573f, - 0.997723067f, 0.067443920f, - 0.997925286f, 0.064382631f, - 0.998118113f, 0.061320736f, - 0.998301545f, 0.058258265f, - 0.998475581f, 0.055195244f, - 0.998640218f, 0.052131705f, - 0.998795456f, 0.049067674f, - 0.998941293f, 0.046003182f, - 0.999077728f, 0.042938257f, - 0.999204759f, 0.039872928f, - 0.999322385f, 0.036807223f, - 0.999430605f, 0.033741172f, - 0.999529418f, 0.030674803f, - 0.999618822f, 0.027608146f, - 0.999698819f, 0.024541229f, - 0.999769405f, 0.021474080f, - 0.999830582f, 0.018406730f, - 0.999882347f, 0.015339206f, - 0.999924702f, 0.012271538f, - 0.999957645f, 0.009203755f, - 0.999981175f, 0.006135885f, - 0.999995294f, 0.003067957f, - 1.000000000f, 0.000000000f, - 0.999995294f, -0.003067957f, - 0.999981175f, -0.006135885f, - 0.999957645f, -0.009203755f, - 0.999924702f, -0.012271538f, - 0.999882347f, -0.015339206f, - 0.999830582f, -0.018406730f, - 0.999769405f, -0.021474080f, - 0.999698819f, -0.024541229f, - 0.999618822f, -0.027608146f, - 0.999529418f, -0.030674803f, - 0.999430605f, -0.033741172f, - 0.999322385f, -0.036807223f, - 0.999204759f, -0.039872928f, - 0.999077728f, -0.042938257f, - 0.998941293f, -0.046003182f, - 0.998795456f, -0.049067674f, - 0.998640218f, -0.052131705f, - 0.998475581f, -0.055195244f, - 0.998301545f, -0.058258265f, - 0.998118113f, -0.061320736f, - 0.997925286f, -0.064382631f, - 0.997723067f, -0.067443920f, - 0.997511456f, -0.070504573f, - 0.997290457f, -0.073564564f, - 0.997060070f, -0.076623861f, - 0.996820299f, -0.079682438f, - 0.996571146f, -0.082740265f, - 0.996312612f, -0.085797312f, - 0.996044701f, -0.088853553f, - 0.995767414f, -0.091908956f, - 0.995480755f, -0.094963495f, - 0.995184727f, -0.098017140f, - 0.994879331f, -0.101069863f, - 0.994564571f, -0.104121634f, - 0.994240449f, -0.107172425f, - 0.993906970f, -0.110222207f, - 0.993564136f, -0.113270952f, - 0.993211949f, -0.116318631f, - 0.992850414f, -0.119365215f, - 0.992479535f, -0.122410675f, - 0.992099313f, -0.125454983f, - 0.991709754f, -0.128498111f, - 0.991310860f, -0.131540029f, - 0.990902635f, -0.134580709f, - 0.990485084f, -0.137620122f, - 0.990058210f, -0.140658239f, - 0.989622017f, -0.143695033f, - 0.989176510f, -0.146730474f, - 0.988721692f, -0.149764535f, - 0.988257568f, -0.152797185f, - 0.987784142f, -0.155828398f, - 0.987301418f, -0.158858143f, - 0.986809402f, -0.161886394f, - 0.986308097f, -0.164913120f, - 0.985797509f, -0.167938295f, - 0.985277642f, -0.170961889f, - 0.984748502f, -0.173983873f, - 0.984210092f, -0.177004220f, - 0.983662419f, -0.180022901f, - 0.983105487f, -0.183039888f, - 0.982539302f, -0.186055152f, - 0.981963869f, -0.189068664f, - 0.981379193f, -0.192080397f, - 0.980785280f, -0.195090322f, - 0.980182136f, -0.198098411f, - 0.979569766f, -0.201104635f, - 0.978948175f, -0.204108966f, - 0.978317371f, -0.207111376f, - 0.977677358f, -0.210111837f, - 0.977028143f, -0.213110320f, - 0.976369731f, -0.216106797f, - 0.975702130f, -0.219101240f, - 0.975025345f, -0.222093621f, - 0.974339383f, -0.225083911f, - 0.973644250f, -0.228072083f, - 0.972939952f, -0.231058108f, - 0.972226497f, -0.234041959f, - 0.971503891f, -0.237023606f, - 0.970772141f, -0.240003022f, - 0.970031253f, -0.242980180f, - 0.969281235f, -0.245955050f, - 0.968522094f, -0.248927606f, - 0.967753837f, -0.251897818f, - 0.966976471f, -0.254865660f, - 0.966190003f, -0.257831102f, - 0.965394442f, -0.260794118f, - 0.964589793f, -0.263754679f, - 0.963776066f, -0.266712757f, - 0.962953267f, -0.269668326f, - 0.962121404f, -0.272621355f, - 0.961280486f, -0.275571819f, - 0.960430519f, -0.278519689f, - 0.959571513f, -0.281464938f, - 0.958703475f, -0.284407537f, - 0.957826413f, -0.287347460f, - 0.956940336f, -0.290284677f, - 0.956045251f, -0.293219163f, - 0.955141168f, -0.296150888f, - 0.954228095f, -0.299079826f, - 0.953306040f, -0.302005949f, - 0.952375013f, -0.304929230f, - 0.951435021f, -0.307849640f, - 0.950486074f, -0.310767153f, - 0.949528181f, -0.313681740f, - 0.948561350f, -0.316593376f, - 0.947585591f, -0.319502031f, - 0.946600913f, -0.322407679f, - 0.945607325f, -0.325310292f, - 0.944604837f, -0.328209844f, - 0.943593458f, -0.331106306f, - 0.942573198f, -0.333999651f, - 0.941544065f, -0.336889853f, - 0.940506071f, -0.339776884f, - 0.939459224f, -0.342660717f, - 0.938403534f, -0.345541325f, - 0.937339012f, -0.348418680f, - 0.936265667f, -0.351292756f, - 0.935183510f, -0.354163525f, - 0.934092550f, -0.357030961f, - 0.932992799f, -0.359895037f, - 0.931884266f, -0.362755724f, - 0.930766961f, -0.365612998f, - 0.929640896f, -0.368466830f, - 0.928506080f, -0.371317194f, - 0.927362526f, -0.374164063f, - 0.926210242f, -0.377007410f, - 0.925049241f, -0.379847209f, - 0.923879533f, -0.382683432f, - 0.922701128f, -0.385516054f, - 0.921514039f, -0.388345047f, - 0.920318277f, -0.391170384f, - 0.919113852f, -0.393992040f, - 0.917900776f, -0.396809987f, - 0.916679060f, -0.399624200f, - 0.915448716f, -0.402434651f, - 0.914209756f, -0.405241314f, - 0.912962190f, -0.408044163f, - 0.911706032f, -0.410843171f, - 0.910441292f, -0.413638312f, - 0.909167983f, -0.416429560f, - 0.907886116f, -0.419216888f, - 0.906595705f, -0.422000271f, - 0.905296759f, -0.424779681f, - 0.903989293f, -0.427555093f, - 0.902673318f, -0.430326481f, - 0.901348847f, -0.433093819f, - 0.900015892f, -0.435857080f, - 0.898674466f, -0.438616239f, - 0.897324581f, -0.441371269f, - 0.895966250f, -0.444122145f, - 0.894599486f, -0.446868840f, - 0.893224301f, -0.449611330f, - 0.891840709f, -0.452349587f, - 0.890448723f, -0.455083587f, - 0.889048356f, -0.457813304f, - 0.887639620f, -0.460538711f, - 0.886222530f, -0.463259784f, - 0.884797098f, -0.465976496f, - 0.883363339f, -0.468688822f, - 0.881921264f, -0.471396737f, - 0.880470889f, -0.474100215f, - 0.879012226f, -0.476799230f, - 0.877545290f, -0.479493758f, - 0.876070094f, -0.482183772f, - 0.874586652f, -0.484869248f, - 0.873094978f, -0.487550160f, - 0.871595087f, -0.490226483f, - 0.870086991f, -0.492898192f, - 0.868570706f, -0.495565262f, - 0.867046246f, -0.498227667f, - 0.865513624f, -0.500885383f, - 0.863972856f, -0.503538384f, - 0.862423956f, -0.506186645f, - 0.860866939f, -0.508830143f, - 0.859301818f, -0.511468850f, - 0.857728610f, -0.514102744f, - 0.856147328f, -0.516731799f, - 0.854557988f, -0.519355990f, - 0.852960605f, -0.521975293f, - 0.851355193f, -0.524589683f, - 0.849741768f, -0.527199135f, - 0.848120345f, -0.529803625f, - 0.846490939f, -0.532403128f, - 0.844853565f, -0.534997620f, - 0.843208240f, -0.537587076f, - 0.841554977f, -0.540171473f, - 0.839893794f, -0.542750785f, - 0.838224706f, -0.545324988f, - 0.836547727f, -0.547894059f, - 0.834862875f, -0.550457973f, - 0.833170165f, -0.553016706f, - 0.831469612f, -0.555570233f, - 0.829761234f, -0.558118531f, - 0.828045045f, -0.560661576f, - 0.826321063f, -0.563199344f, - 0.824589303f, -0.565731811f, - 0.822849781f, -0.568258953f, - 0.821102515f, -0.570780746f, - 0.819347520f, -0.573297167f, - 0.817584813f, -0.575808191f, - 0.815814411f, -0.578313796f, - 0.814036330f, -0.580813958f, - 0.812250587f, -0.583308653f, - 0.810457198f, -0.585797857f, - 0.808656182f, -0.588281548f, - 0.806847554f, -0.590759702f, - 0.805031331f, -0.593232295f, - 0.803207531f, -0.595699304f, - 0.801376172f, -0.598160707f, - 0.799537269f, -0.600616479f, - 0.797690841f, -0.603066599f, - 0.795836905f, -0.605511041f, - 0.793975478f, -0.607949785f, - 0.792106577f, -0.610382806f, - 0.790230221f, -0.612810082f, - 0.788346428f, -0.615231591f, - 0.786455214f, -0.617647308f, - 0.784556597f, -0.620057212f, - 0.782650596f, -0.622461279f, - 0.780737229f, -0.624859488f, - 0.778816512f, -0.627251815f, - 0.776888466f, -0.629638239f, - 0.774953107f, -0.632018736f, - 0.773010453f, -0.634393284f, - 0.771060524f, -0.636761861f, - 0.769103338f, -0.639124445f, - 0.767138912f, -0.641481013f, - 0.765167266f, -0.643831543f, - 0.763188417f, -0.646176013f, - 0.761202385f, -0.648514401f, - 0.759209189f, -0.650846685f, - 0.757208847f, -0.653172843f, - 0.755201377f, -0.655492853f, - 0.753186799f, -0.657806693f, - 0.751165132f, -0.660114342f, - 0.749136395f, -0.662415778f, - 0.747100606f, -0.664710978f, - 0.745057785f, -0.666999922f, - 0.743007952f, -0.669282588f, - 0.740951125f, -0.671558955f, - 0.738887324f, -0.673829000f, - 0.736816569f, -0.676092704f, - 0.734738878f, -0.678350043f, - 0.732654272f, -0.680600998f, - 0.730562769f, -0.682845546f, - 0.728464390f, -0.685083668f, - 0.726359155f, -0.687315341f, - 0.724247083f, -0.689540545f, - 0.722128194f, -0.691759258f, - 0.720002508f, -0.693971461f, - 0.717870045f, -0.696177131f, - 0.715730825f, -0.698376249f, - 0.713584869f, -0.700568794f, - 0.711432196f, -0.702754744f, - 0.709272826f, -0.704934080f, - 0.707106781f, -0.707106781f, - 0.704934080f, -0.709272826f, - 0.702754744f, -0.711432196f, - 0.700568794f, -0.713584869f, - 0.698376249f, -0.715730825f, - 0.696177131f, -0.717870045f, - 0.693971461f, -0.720002508f, - 0.691759258f, -0.722128194f, - 0.689540545f, -0.724247083f, - 0.687315341f, -0.726359155f, - 0.685083668f, -0.728464390f, - 0.682845546f, -0.730562769f, - 0.680600998f, -0.732654272f, - 0.678350043f, -0.734738878f, - 0.676092704f, -0.736816569f, - 0.673829000f, -0.738887324f, - 0.671558955f, -0.740951125f, - 0.669282588f, -0.743007952f, - 0.666999922f, -0.745057785f, - 0.664710978f, -0.747100606f, - 0.662415778f, -0.749136395f, - 0.660114342f, -0.751165132f, - 0.657806693f, -0.753186799f, - 0.655492853f, -0.755201377f, - 0.653172843f, -0.757208847f, - 0.650846685f, -0.759209189f, - 0.648514401f, -0.761202385f, - 0.646176013f, -0.763188417f, - 0.643831543f, -0.765167266f, - 0.641481013f, -0.767138912f, - 0.639124445f, -0.769103338f, - 0.636761861f, -0.771060524f, - 0.634393284f, -0.773010453f, - 0.632018736f, -0.774953107f, - 0.629638239f, -0.776888466f, - 0.627251815f, -0.778816512f, - 0.624859488f, -0.780737229f, - 0.622461279f, -0.782650596f, - 0.620057212f, -0.784556597f, - 0.617647308f, -0.786455214f, - 0.615231591f, -0.788346428f, - 0.612810082f, -0.790230221f, - 0.610382806f, -0.792106577f, - 0.607949785f, -0.793975478f, - 0.605511041f, -0.795836905f, - 0.603066599f, -0.797690841f, - 0.600616479f, -0.799537269f, - 0.598160707f, -0.801376172f, - 0.595699304f, -0.803207531f, - 0.593232295f, -0.805031331f, - 0.590759702f, -0.806847554f, - 0.588281548f, -0.808656182f, - 0.585797857f, -0.810457198f, - 0.583308653f, -0.812250587f, - 0.580813958f, -0.814036330f, - 0.578313796f, -0.815814411f, - 0.575808191f, -0.817584813f, - 0.573297167f, -0.819347520f, - 0.570780746f, -0.821102515f, - 0.568258953f, -0.822849781f, - 0.565731811f, -0.824589303f, - 0.563199344f, -0.826321063f, - 0.560661576f, -0.828045045f, - 0.558118531f, -0.829761234f, - 0.555570233f, -0.831469612f, - 0.553016706f, -0.833170165f, - 0.550457973f, -0.834862875f, - 0.547894059f, -0.836547727f, - 0.545324988f, -0.838224706f, - 0.542750785f, -0.839893794f, - 0.540171473f, -0.841554977f, - 0.537587076f, -0.843208240f, - 0.534997620f, -0.844853565f, - 0.532403128f, -0.846490939f, - 0.529803625f, -0.848120345f, - 0.527199135f, -0.849741768f, - 0.524589683f, -0.851355193f, - 0.521975293f, -0.852960605f, - 0.519355990f, -0.854557988f, - 0.516731799f, -0.856147328f, - 0.514102744f, -0.857728610f, - 0.511468850f, -0.859301818f, - 0.508830143f, -0.860866939f, - 0.506186645f, -0.862423956f, - 0.503538384f, -0.863972856f, - 0.500885383f, -0.865513624f, - 0.498227667f, -0.867046246f, - 0.495565262f, -0.868570706f, - 0.492898192f, -0.870086991f, - 0.490226483f, -0.871595087f, - 0.487550160f, -0.873094978f, - 0.484869248f, -0.874586652f, - 0.482183772f, -0.876070094f, - 0.479493758f, -0.877545290f, - 0.476799230f, -0.879012226f, - 0.474100215f, -0.880470889f, - 0.471396737f, -0.881921264f, - 0.468688822f, -0.883363339f, - 0.465976496f, -0.884797098f, - 0.463259784f, -0.886222530f, - 0.460538711f, -0.887639620f, - 0.457813304f, -0.889048356f, - 0.455083587f, -0.890448723f, - 0.452349587f, -0.891840709f, - 0.449611330f, -0.893224301f, - 0.446868840f, -0.894599486f, - 0.444122145f, -0.895966250f, - 0.441371269f, -0.897324581f, - 0.438616239f, -0.898674466f, - 0.435857080f, -0.900015892f, - 0.433093819f, -0.901348847f, - 0.430326481f, -0.902673318f, - 0.427555093f, -0.903989293f, - 0.424779681f, -0.905296759f, - 0.422000271f, -0.906595705f, - 0.419216888f, -0.907886116f, - 0.416429560f, -0.909167983f, - 0.413638312f, -0.910441292f, - 0.410843171f, -0.911706032f, - 0.408044163f, -0.912962190f, - 0.405241314f, -0.914209756f, - 0.402434651f, -0.915448716f, - 0.399624200f, -0.916679060f, - 0.396809987f, -0.917900776f, - 0.393992040f, -0.919113852f, - 0.391170384f, -0.920318277f, - 0.388345047f, -0.921514039f, - 0.385516054f, -0.922701128f, - 0.382683432f, -0.923879533f, - 0.379847209f, -0.925049241f, - 0.377007410f, -0.926210242f, - 0.374164063f, -0.927362526f, - 0.371317194f, -0.928506080f, - 0.368466830f, -0.929640896f, - 0.365612998f, -0.930766961f, - 0.362755724f, -0.931884266f, - 0.359895037f, -0.932992799f, - 0.357030961f, -0.934092550f, - 0.354163525f, -0.935183510f, - 0.351292756f, -0.936265667f, - 0.348418680f, -0.937339012f, - 0.345541325f, -0.938403534f, - 0.342660717f, -0.939459224f, - 0.339776884f, -0.940506071f, - 0.336889853f, -0.941544065f, - 0.333999651f, -0.942573198f, - 0.331106306f, -0.943593458f, - 0.328209844f, -0.944604837f, - 0.325310292f, -0.945607325f, - 0.322407679f, -0.946600913f, - 0.319502031f, -0.947585591f, - 0.316593376f, -0.948561350f, - 0.313681740f, -0.949528181f, - 0.310767153f, -0.950486074f, - 0.307849640f, -0.951435021f, - 0.304929230f, -0.952375013f, - 0.302005949f, -0.953306040f, - 0.299079826f, -0.954228095f, - 0.296150888f, -0.955141168f, - 0.293219163f, -0.956045251f, - 0.290284677f, -0.956940336f, - 0.287347460f, -0.957826413f, - 0.284407537f, -0.958703475f, - 0.281464938f, -0.959571513f, - 0.278519689f, -0.960430519f, - 0.275571819f, -0.961280486f, - 0.272621355f, -0.962121404f, - 0.269668326f, -0.962953267f, - 0.266712757f, -0.963776066f, - 0.263754679f, -0.964589793f, - 0.260794118f, -0.965394442f, - 0.257831102f, -0.966190003f, - 0.254865660f, -0.966976471f, - 0.251897818f, -0.967753837f, - 0.248927606f, -0.968522094f, - 0.245955050f, -0.969281235f, - 0.242980180f, -0.970031253f, - 0.240003022f, -0.970772141f, - 0.237023606f, -0.971503891f, - 0.234041959f, -0.972226497f, - 0.231058108f, -0.972939952f, - 0.228072083f, -0.973644250f, - 0.225083911f, -0.974339383f, - 0.222093621f, -0.975025345f, - 0.219101240f, -0.975702130f, - 0.216106797f, -0.976369731f, - 0.213110320f, -0.977028143f, - 0.210111837f, -0.977677358f, - 0.207111376f, -0.978317371f, - 0.204108966f, -0.978948175f, - 0.201104635f, -0.979569766f, - 0.198098411f, -0.980182136f, - 0.195090322f, -0.980785280f, - 0.192080397f, -0.981379193f, - 0.189068664f, -0.981963869f, - 0.186055152f, -0.982539302f, - 0.183039888f, -0.983105487f, - 0.180022901f, -0.983662419f, - 0.177004220f, -0.984210092f, - 0.173983873f, -0.984748502f, - 0.170961889f, -0.985277642f, - 0.167938295f, -0.985797509f, - 0.164913120f, -0.986308097f, - 0.161886394f, -0.986809402f, - 0.158858143f, -0.987301418f, - 0.155828398f, -0.987784142f, - 0.152797185f, -0.988257568f, - 0.149764535f, -0.988721692f, - 0.146730474f, -0.989176510f, - 0.143695033f, -0.989622017f, - 0.140658239f, -0.990058210f, - 0.137620122f, -0.990485084f, - 0.134580709f, -0.990902635f, - 0.131540029f, -0.991310860f, - 0.128498111f, -0.991709754f, - 0.125454983f, -0.992099313f, - 0.122410675f, -0.992479535f, - 0.119365215f, -0.992850414f, - 0.116318631f, -0.993211949f, - 0.113270952f, -0.993564136f, - 0.110222207f, -0.993906970f, - 0.107172425f, -0.994240449f, - 0.104121634f, -0.994564571f, - 0.101069863f, -0.994879331f, - 0.098017140f, -0.995184727f, - 0.094963495f, -0.995480755f, - 0.091908956f, -0.995767414f, - 0.088853553f, -0.996044701f, - 0.085797312f, -0.996312612f, - 0.082740265f, -0.996571146f, - 0.079682438f, -0.996820299f, - 0.076623861f, -0.997060070f, - 0.073564564f, -0.997290457f, - 0.070504573f, -0.997511456f, - 0.067443920f, -0.997723067f, - 0.064382631f, -0.997925286f, - 0.061320736f, -0.998118113f, - 0.058258265f, -0.998301545f, - 0.055195244f, -0.998475581f, - 0.052131705f, -0.998640218f, - 0.049067674f, -0.998795456f, - 0.046003182f, -0.998941293f, - 0.042938257f, -0.999077728f, - 0.039872928f, -0.999204759f, - 0.036807223f, -0.999322385f, - 0.033741172f, -0.999430605f, - 0.030674803f, -0.999529418f, - 0.027608146f, -0.999618822f, - 0.024541229f, -0.999698819f, - 0.021474080f, -0.999769405f, - 0.018406730f, -0.999830582f, - 0.015339206f, -0.999882347f, - 0.012271538f, -0.999924702f, - 0.009203755f, -0.999957645f, - 0.006135885f, -0.999981175f, - 0.003067957f, -0.999995294f -}; - -const float32_t twiddleCoef_rfft_4096[4096] = { - 0.000000000f, 1.000000000f, - 0.001533980f, 0.999998823f, - 0.003067957f, 0.999995294f, - 0.004601926f, 0.999989411f, - 0.006135885f, 0.999981175f, - 0.007669829f, 0.999970586f, - 0.009203755f, 0.999957645f, - 0.010737659f, 0.999942350f, - 0.012271538f, 0.999924702f, - 0.013805389f, 0.999904701f, - 0.015339206f, 0.999882347f, - 0.016872988f, 0.999857641f, - 0.018406730f, 0.999830582f, - 0.019940429f, 0.999801170f, - 0.021474080f, 0.999769405f, - 0.023007681f, 0.999735288f, - 0.024541229f, 0.999698819f, - 0.026074718f, 0.999659997f, - 0.027608146f, 0.999618822f, - 0.029141509f, 0.999575296f, - 0.030674803f, 0.999529418f, - 0.032208025f, 0.999481187f, - 0.033741172f, 0.999430605f, - 0.035274239f, 0.999377670f, - 0.036807223f, 0.999322385f, - 0.038340120f, 0.999264747f, - 0.039872928f, 0.999204759f, - 0.041405641f, 0.999142419f, - 0.042938257f, 0.999077728f, - 0.044470772f, 0.999010686f, - 0.046003182f, 0.998941293f, - 0.047535484f, 0.998869550f, - 0.049067674f, 0.998795456f, - 0.050599749f, 0.998719012f, - 0.052131705f, 0.998640218f, - 0.053663538f, 0.998559074f, - 0.055195244f, 0.998475581f, - 0.056726821f, 0.998389737f, - 0.058258265f, 0.998301545f, - 0.059789571f, 0.998211003f, - 0.061320736f, 0.998118113f, - 0.062851758f, 0.998022874f, - 0.064382631f, 0.997925286f, - 0.065913353f, 0.997825350f, - 0.067443920f, 0.997723067f, - 0.068974328f, 0.997618435f, - 0.070504573f, 0.997511456f, - 0.072034653f, 0.997402130f, - 0.073564564f, 0.997290457f, - 0.075094301f, 0.997176437f, - 0.076623861f, 0.997060070f, - 0.078153242f, 0.996941358f, - 0.079682438f, 0.996820299f, - 0.081211447f, 0.996696895f, - 0.082740265f, 0.996571146f, - 0.084268888f, 0.996443051f, - 0.085797312f, 0.996312612f, - 0.087325535f, 0.996179829f, - 0.088853553f, 0.996044701f, - 0.090381361f, 0.995907229f, - 0.091908956f, 0.995767414f, - 0.093436336f, 0.995625256f, - 0.094963495f, 0.995480755f, - 0.096490431f, 0.995333912f, - 0.098017140f, 0.995184727f, - 0.099543619f, 0.995033199f, - 0.101069863f, 0.994879331f, - 0.102595869f, 0.994723121f, - 0.104121634f, 0.994564571f, - 0.105647154f, 0.994403680f, - 0.107172425f, 0.994240449f, - 0.108697444f, 0.994074879f, - 0.110222207f, 0.993906970f, - 0.111746711f, 0.993736722f, - 0.113270952f, 0.993564136f, - 0.114794927f, 0.993389211f, - 0.116318631f, 0.993211949f, - 0.117842062f, 0.993032350f, - 0.119365215f, 0.992850414f, - 0.120888087f, 0.992666142f, - 0.122410675f, 0.992479535f, - 0.123932975f, 0.992290591f, - 0.125454983f, 0.992099313f, - 0.126976696f, 0.991905700f, - 0.128498111f, 0.991709754f, - 0.130019223f, 0.991511473f, - 0.131540029f, 0.991310860f, - 0.133060525f, 0.991107914f, - 0.134580709f, 0.990902635f, - 0.136100575f, 0.990695025f, - 0.137620122f, 0.990485084f, - 0.139139344f, 0.990272812f, - 0.140658239f, 0.990058210f, - 0.142176804f, 0.989841278f, - 0.143695033f, 0.989622017f, - 0.145212925f, 0.989400428f, - 0.146730474f, 0.989176510f, - 0.148247679f, 0.988950265f, - 0.149764535f, 0.988721692f, - 0.151281038f, 0.988490793f, - 0.152797185f, 0.988257568f, - 0.154312973f, 0.988022017f, - 0.155828398f, 0.987784142f, - 0.157343456f, 0.987543942f, - 0.158858143f, 0.987301418f, - 0.160372457f, 0.987056571f, - 0.161886394f, 0.986809402f, - 0.163399949f, 0.986559910f, - 0.164913120f, 0.986308097f, - 0.166425904f, 0.986053963f, - 0.167938295f, 0.985797509f, - 0.169450291f, 0.985538735f, - 0.170961889f, 0.985277642f, - 0.172473084f, 0.985014231f, - 0.173983873f, 0.984748502f, - 0.175494253f, 0.984480455f, - 0.177004220f, 0.984210092f, - 0.178513771f, 0.983937413f, - 0.180022901f, 0.983662419f, - 0.181531608f, 0.983385110f, - 0.183039888f, 0.983105487f, - 0.184547737f, 0.982823551f, - 0.186055152f, 0.982539302f, - 0.187562129f, 0.982252741f, - 0.189068664f, 0.981963869f, - 0.190574755f, 0.981672686f, - 0.192080397f, 0.981379193f, - 0.193585587f, 0.981083391f, - 0.195090322f, 0.980785280f, - 0.196594598f, 0.980484862f, - 0.198098411f, 0.980182136f, - 0.199601758f, 0.979877104f, - 0.201104635f, 0.979569766f, - 0.202607039f, 0.979260123f, - 0.204108966f, 0.978948175f, - 0.205610413f, 0.978633924f, - 0.207111376f, 0.978317371f, - 0.208611852f, 0.977998515f, - 0.210111837f, 0.977677358f, - 0.211611327f, 0.977353900f, - 0.213110320f, 0.977028143f, - 0.214608811f, 0.976700086f, - 0.216106797f, 0.976369731f, - 0.217604275f, 0.976037079f, - 0.219101240f, 0.975702130f, - 0.220597690f, 0.975364885f, - 0.222093621f, 0.975025345f, - 0.223589029f, 0.974683511f, - 0.225083911f, 0.974339383f, - 0.226578264f, 0.973992962f, - 0.228072083f, 0.973644250f, - 0.229565366f, 0.973293246f, - 0.231058108f, 0.972939952f, - 0.232550307f, 0.972584369f, - 0.234041959f, 0.972226497f, - 0.235533059f, 0.971866337f, - 0.237023606f, 0.971503891f, - 0.238513595f, 0.971139158f, - 0.240003022f, 0.970772141f, - 0.241491885f, 0.970402839f, - 0.242980180f, 0.970031253f, - 0.244467903f, 0.969657385f, - 0.245955050f, 0.969281235f, - 0.247441619f, 0.968902805f, - 0.248927606f, 0.968522094f, - 0.250413007f, 0.968139105f, - 0.251897818f, 0.967753837f, - 0.253382037f, 0.967366292f, - 0.254865660f, 0.966976471f, - 0.256348682f, 0.966584374f, - 0.257831102f, 0.966190003f, - 0.259312915f, 0.965793359f, - 0.260794118f, 0.965394442f, - 0.262274707f, 0.964993253f, - 0.263754679f, 0.964589793f, - 0.265234030f, 0.964184064f, - 0.266712757f, 0.963776066f, - 0.268190857f, 0.963365800f, - 0.269668326f, 0.962953267f, - 0.271145160f, 0.962538468f, - 0.272621355f, 0.962121404f, - 0.274096910f, 0.961702077f, - 0.275571819f, 0.961280486f, - 0.277046080f, 0.960856633f, - 0.278519689f, 0.960430519f, - 0.279992643f, 0.960002146f, - 0.281464938f, 0.959571513f, - 0.282936570f, 0.959138622f, - 0.284407537f, 0.958703475f, - 0.285877835f, 0.958266071f, - 0.287347460f, 0.957826413f, - 0.288816408f, 0.957384501f, - 0.290284677f, 0.956940336f, - 0.291752263f, 0.956493919f, - 0.293219163f, 0.956045251f, - 0.294685372f, 0.955594334f, - 0.296150888f, 0.955141168f, - 0.297615707f, 0.954685755f, - 0.299079826f, 0.954228095f, - 0.300543241f, 0.953768190f, - 0.302005949f, 0.953306040f, - 0.303467947f, 0.952841648f, - 0.304929230f, 0.952375013f, - 0.306389795f, 0.951906137f, - 0.307849640f, 0.951435021f, - 0.309308760f, 0.950961666f, - 0.310767153f, 0.950486074f, - 0.312224814f, 0.950008245f, - 0.313681740f, 0.949528181f, - 0.315137929f, 0.949045882f, - 0.316593376f, 0.948561350f, - 0.318048077f, 0.948074586f, - 0.319502031f, 0.947585591f, - 0.320955232f, 0.947094366f, - 0.322407679f, 0.946600913f, - 0.323859367f, 0.946105232f, - 0.325310292f, 0.945607325f, - 0.326760452f, 0.945107193f, - 0.328209844f, 0.944604837f, - 0.329658463f, 0.944100258f, - 0.331106306f, 0.943593458f, - 0.332553370f, 0.943084437f, - 0.333999651f, 0.942573198f, - 0.335445147f, 0.942059740f, - 0.336889853f, 0.941544065f, - 0.338333767f, 0.941026175f, - 0.339776884f, 0.940506071f, - 0.341219202f, 0.939983753f, - 0.342660717f, 0.939459224f, - 0.344101426f, 0.938932484f, - 0.345541325f, 0.938403534f, - 0.346980411f, 0.937872376f, - 0.348418680f, 0.937339012f, - 0.349856130f, 0.936803442f, - 0.351292756f, 0.936265667f, - 0.352728556f, 0.935725689f, - 0.354163525f, 0.935183510f, - 0.355597662f, 0.934639130f, - 0.357030961f, 0.934092550f, - 0.358463421f, 0.933543773f, - 0.359895037f, 0.932992799f, - 0.361325806f, 0.932439629f, - 0.362755724f, 0.931884266f, - 0.364184790f, 0.931326709f, - 0.365612998f, 0.930766961f, - 0.367040346f, 0.930205023f, - 0.368466830f, 0.929640896f, - 0.369892447f, 0.929074581f, - 0.371317194f, 0.928506080f, - 0.372741067f, 0.927935395f, - 0.374164063f, 0.927362526f, - 0.375586178f, 0.926787474f, - 0.377007410f, 0.926210242f, - 0.378427755f, 0.925630831f, - 0.379847209f, 0.925049241f, - 0.381265769f, 0.924465474f, - 0.382683432f, 0.923879533f, - 0.384100195f, 0.923291417f, - 0.385516054f, 0.922701128f, - 0.386931006f, 0.922108669f, - 0.388345047f, 0.921514039f, - 0.389758174f, 0.920917242f, - 0.391170384f, 0.920318277f, - 0.392581674f, 0.919717146f, - 0.393992040f, 0.919113852f, - 0.395401479f, 0.918508394f, - 0.396809987f, 0.917900776f, - 0.398217562f, 0.917290997f, - 0.399624200f, 0.916679060f, - 0.401029897f, 0.916064966f, - 0.402434651f, 0.915448716f, - 0.403838458f, 0.914830312f, - 0.405241314f, 0.914209756f, - 0.406643217f, 0.913587048f, - 0.408044163f, 0.912962190f, - 0.409444149f, 0.912335185f, - 0.410843171f, 0.911706032f, - 0.412241227f, 0.911074734f, - 0.413638312f, 0.910441292f, - 0.415034424f, 0.909805708f, - 0.416429560f, 0.909167983f, - 0.417823716f, 0.908528119f, - 0.419216888f, 0.907886116f, - 0.420609074f, 0.907241978f, - 0.422000271f, 0.906595705f, - 0.423390474f, 0.905947298f, - 0.424779681f, 0.905296759f, - 0.426167889f, 0.904644091f, - 0.427555093f, 0.903989293f, - 0.428941292f, 0.903332368f, - 0.430326481f, 0.902673318f, - 0.431710658f, 0.902012144f, - 0.433093819f, 0.901348847f, - 0.434475961f, 0.900683429f, - 0.435857080f, 0.900015892f, - 0.437237174f, 0.899346237f, - 0.438616239f, 0.898674466f, - 0.439994271f, 0.898000580f, - 0.441371269f, 0.897324581f, - 0.442747228f, 0.896646470f, - 0.444122145f, 0.895966250f, - 0.445496017f, 0.895283921f, - 0.446868840f, 0.894599486f, - 0.448240612f, 0.893912945f, - 0.449611330f, 0.893224301f, - 0.450980989f, 0.892533555f, - 0.452349587f, 0.891840709f, - 0.453717121f, 0.891145765f, - 0.455083587f, 0.890448723f, - 0.456448982f, 0.889749586f, - 0.457813304f, 0.889048356f, - 0.459176548f, 0.888345033f, - 0.460538711f, 0.887639620f, - 0.461899791f, 0.886932119f, - 0.463259784f, 0.886222530f, - 0.464618686f, 0.885510856f, - 0.465976496f, 0.884797098f, - 0.467333209f, 0.884081259f, - 0.468688822f, 0.883363339f, - 0.470043332f, 0.882643340f, - 0.471396737f, 0.881921264f, - 0.472749032f, 0.881197113f, - 0.474100215f, 0.880470889f, - 0.475450282f, 0.879742593f, - 0.476799230f, 0.879012226f, - 0.478147056f, 0.878279792f, - 0.479493758f, 0.877545290f, - 0.480839331f, 0.876808724f, - 0.482183772f, 0.876070094f, - 0.483527079f, 0.875329403f, - 0.484869248f, 0.874586652f, - 0.486210276f, 0.873841843f, - 0.487550160f, 0.873094978f, - 0.488888897f, 0.872346059f, - 0.490226483f, 0.871595087f, - 0.491562916f, 0.870842063f, - 0.492898192f, 0.870086991f, - 0.494232309f, 0.869329871f, - 0.495565262f, 0.868570706f, - 0.496897049f, 0.867809497f, - 0.498227667f, 0.867046246f, - 0.499557113f, 0.866280954f, - 0.500885383f, 0.865513624f, - 0.502212474f, 0.864744258f, - 0.503538384f, 0.863972856f, - 0.504863109f, 0.863199422f, - 0.506186645f, 0.862423956f, - 0.507508991f, 0.861646461f, - 0.508830143f, 0.860866939f, - 0.510150097f, 0.860085390f, - 0.511468850f, 0.859301818f, - 0.512786401f, 0.858516224f, - 0.514102744f, 0.857728610f, - 0.515417878f, 0.856938977f, - 0.516731799f, 0.856147328f, - 0.518044504f, 0.855353665f, - 0.519355990f, 0.854557988f, - 0.520666254f, 0.853760301f, - 0.521975293f, 0.852960605f, - 0.523283103f, 0.852158902f, - 0.524589683f, 0.851355193f, - 0.525895027f, 0.850549481f, - 0.527199135f, 0.849741768f, - 0.528502002f, 0.848932055f, - 0.529803625f, 0.848120345f, - 0.531104001f, 0.847306639f, - 0.532403128f, 0.846490939f, - 0.533701002f, 0.845673247f, - 0.534997620f, 0.844853565f, - 0.536292979f, 0.844031895f, - 0.537587076f, 0.843208240f, - 0.538879909f, 0.842382600f, - 0.540171473f, 0.841554977f, - 0.541461766f, 0.840725375f, - 0.542750785f, 0.839893794f, - 0.544038527f, 0.839060237f, - 0.545324988f, 0.838224706f, - 0.546610167f, 0.837387202f, - 0.547894059f, 0.836547727f, - 0.549176662f, 0.835706284f, - 0.550457973f, 0.834862875f, - 0.551737988f, 0.834017501f, - 0.553016706f, 0.833170165f, - 0.554294121f, 0.832320868f, - 0.555570233f, 0.831469612f, - 0.556845037f, 0.830616400f, - 0.558118531f, 0.829761234f, - 0.559390712f, 0.828904115f, - 0.560661576f, 0.828045045f, - 0.561931121f, 0.827184027f, - 0.563199344f, 0.826321063f, - 0.564466242f, 0.825456154f, - 0.565731811f, 0.824589303f, - 0.566996049f, 0.823720511f, - 0.568258953f, 0.822849781f, - 0.569520519f, 0.821977115f, - 0.570780746f, 0.821102515f, - 0.572039629f, 0.820225983f, - 0.573297167f, 0.819347520f, - 0.574553355f, 0.818467130f, - 0.575808191f, 0.817584813f, - 0.577061673f, 0.816700573f, - 0.578313796f, 0.815814411f, - 0.579564559f, 0.814926329f, - 0.580813958f, 0.814036330f, - 0.582061990f, 0.813144415f, - 0.583308653f, 0.812250587f, - 0.584553943f, 0.811354847f, - 0.585797857f, 0.810457198f, - 0.587040394f, 0.809557642f, - 0.588281548f, 0.808656182f, - 0.589521319f, 0.807752818f, - 0.590759702f, 0.806847554f, - 0.591996695f, 0.805940391f, - 0.593232295f, 0.805031331f, - 0.594466499f, 0.804120377f, - 0.595699304f, 0.803207531f, - 0.596930708f, 0.802292796f, - 0.598160707f, 0.801376172f, - 0.599389298f, 0.800457662f, - 0.600616479f, 0.799537269f, - 0.601842247f, 0.798614995f, - 0.603066599f, 0.797690841f, - 0.604289531f, 0.796764810f, - 0.605511041f, 0.795836905f, - 0.606731127f, 0.794907126f, - 0.607949785f, 0.793975478f, - 0.609167012f, 0.793041960f, - 0.610382806f, 0.792106577f, - 0.611597164f, 0.791169330f, - 0.612810082f, 0.790230221f, - 0.614021559f, 0.789289253f, - 0.615231591f, 0.788346428f, - 0.616440175f, 0.787401747f, - 0.617647308f, 0.786455214f, - 0.618852988f, 0.785506830f, - 0.620057212f, 0.784556597f, - 0.621259977f, 0.783604519f, - 0.622461279f, 0.782650596f, - 0.623661118f, 0.781694832f, - 0.624859488f, 0.780737229f, - 0.626056388f, 0.779777788f, - 0.627251815f, 0.778816512f, - 0.628445767f, 0.777853404f, - 0.629638239f, 0.776888466f, - 0.630829230f, 0.775921699f, - 0.632018736f, 0.774953107f, - 0.633206755f, 0.773982691f, - 0.634393284f, 0.773010453f, - 0.635578320f, 0.772036397f, - 0.636761861f, 0.771060524f, - 0.637943904f, 0.770082837f, - 0.639124445f, 0.769103338f, - 0.640303482f, 0.768122029f, - 0.641481013f, 0.767138912f, - 0.642657034f, 0.766153990f, - 0.643831543f, 0.765167266f, - 0.645004537f, 0.764178741f, - 0.646176013f, 0.763188417f, - 0.647345969f, 0.762196298f, - 0.648514401f, 0.761202385f, - 0.649681307f, 0.760206682f, - 0.650846685f, 0.759209189f, - 0.652010531f, 0.758209910f, - 0.653172843f, 0.757208847f, - 0.654333618f, 0.756206001f, - 0.655492853f, 0.755201377f, - 0.656650546f, 0.754194975f, - 0.657806693f, 0.753186799f, - 0.658961293f, 0.752176850f, - 0.660114342f, 0.751165132f, - 0.661265838f, 0.750151646f, - 0.662415778f, 0.749136395f, - 0.663564159f, 0.748119380f, - 0.664710978f, 0.747100606f, - 0.665856234f, 0.746080074f, - 0.666999922f, 0.745057785f, - 0.668142041f, 0.744033744f, - 0.669282588f, 0.743007952f, - 0.670421560f, 0.741980412f, - 0.671558955f, 0.740951125f, - 0.672694769f, 0.739920095f, - 0.673829000f, 0.738887324f, - 0.674961646f, 0.737852815f, - 0.676092704f, 0.736816569f, - 0.677222170f, 0.735778589f, - 0.678350043f, 0.734738878f, - 0.679476320f, 0.733697438f, - 0.680600998f, 0.732654272f, - 0.681724074f, 0.731609381f, - 0.682845546f, 0.730562769f, - 0.683965412f, 0.729514438f, - 0.685083668f, 0.728464390f, - 0.686200312f, 0.727412629f, - 0.687315341f, 0.726359155f, - 0.688428753f, 0.725303972f, - 0.689540545f, 0.724247083f, - 0.690650714f, 0.723188489f, - 0.691759258f, 0.722128194f, - 0.692866175f, 0.721066199f, - 0.693971461f, 0.720002508f, - 0.695075114f, 0.718937122f, - 0.696177131f, 0.717870045f, - 0.697277511f, 0.716801279f, - 0.698376249f, 0.715730825f, - 0.699473345f, 0.714658688f, - 0.700568794f, 0.713584869f, - 0.701662595f, 0.712509371f, - 0.702754744f, 0.711432196f, - 0.703845241f, 0.710353347f, - 0.704934080f, 0.709272826f, - 0.706021261f, 0.708190637f, - 0.707106781f, 0.707106781f, - 0.708190637f, 0.706021261f, - 0.709272826f, 0.704934080f, - 0.710353347f, 0.703845241f, - 0.711432196f, 0.702754744f, - 0.712509371f, 0.701662595f, - 0.713584869f, 0.700568794f, - 0.714658688f, 0.699473345f, - 0.715730825f, 0.698376249f, - 0.716801279f, 0.697277511f, - 0.717870045f, 0.696177131f, - 0.718937122f, 0.695075114f, - 0.720002508f, 0.693971461f, - 0.721066199f, 0.692866175f, - 0.722128194f, 0.691759258f, - 0.723188489f, 0.690650714f, - 0.724247083f, 0.689540545f, - 0.725303972f, 0.688428753f, - 0.726359155f, 0.687315341f, - 0.727412629f, 0.686200312f, - 0.728464390f, 0.685083668f, - 0.729514438f, 0.683965412f, - 0.730562769f, 0.682845546f, - 0.731609381f, 0.681724074f, - 0.732654272f, 0.680600998f, - 0.733697438f, 0.679476320f, - 0.734738878f, 0.678350043f, - 0.735778589f, 0.677222170f, - 0.736816569f, 0.676092704f, - 0.737852815f, 0.674961646f, - 0.738887324f, 0.673829000f, - 0.739920095f, 0.672694769f, - 0.740951125f, 0.671558955f, - 0.741980412f, 0.670421560f, - 0.743007952f, 0.669282588f, - 0.744033744f, 0.668142041f, - 0.745057785f, 0.666999922f, - 0.746080074f, 0.665856234f, - 0.747100606f, 0.664710978f, - 0.748119380f, 0.663564159f, - 0.749136395f, 0.662415778f, - 0.750151646f, 0.661265838f, - 0.751165132f, 0.660114342f, - 0.752176850f, 0.658961293f, - 0.753186799f, 0.657806693f, - 0.754194975f, 0.656650546f, - 0.755201377f, 0.655492853f, - 0.756206001f, 0.654333618f, - 0.757208847f, 0.653172843f, - 0.758209910f, 0.652010531f, - 0.759209189f, 0.650846685f, - 0.760206682f, 0.649681307f, - 0.761202385f, 0.648514401f, - 0.762196298f, 0.647345969f, - 0.763188417f, 0.646176013f, - 0.764178741f, 0.645004537f, - 0.765167266f, 0.643831543f, - 0.766153990f, 0.642657034f, - 0.767138912f, 0.641481013f, - 0.768122029f, 0.640303482f, - 0.769103338f, 0.639124445f, - 0.770082837f, 0.637943904f, - 0.771060524f, 0.636761861f, - 0.772036397f, 0.635578320f, - 0.773010453f, 0.634393284f, - 0.773982691f, 0.633206755f, - 0.774953107f, 0.632018736f, - 0.775921699f, 0.630829230f, - 0.776888466f, 0.629638239f, - 0.777853404f, 0.628445767f, - 0.778816512f, 0.627251815f, - 0.779777788f, 0.626056388f, - 0.780737229f, 0.624859488f, - 0.781694832f, 0.623661118f, - 0.782650596f, 0.622461279f, - 0.783604519f, 0.621259977f, - 0.784556597f, 0.620057212f, - 0.785506830f, 0.618852988f, - 0.786455214f, 0.617647308f, - 0.787401747f, 0.616440175f, - 0.788346428f, 0.615231591f, - 0.789289253f, 0.614021559f, - 0.790230221f, 0.612810082f, - 0.791169330f, 0.611597164f, - 0.792106577f, 0.610382806f, - 0.793041960f, 0.609167012f, - 0.793975478f, 0.607949785f, - 0.794907126f, 0.606731127f, - 0.795836905f, 0.605511041f, - 0.796764810f, 0.604289531f, - 0.797690841f, 0.603066599f, - 0.798614995f, 0.601842247f, - 0.799537269f, 0.600616479f, - 0.800457662f, 0.599389298f, - 0.801376172f, 0.598160707f, - 0.802292796f, 0.596930708f, - 0.803207531f, 0.595699304f, - 0.804120377f, 0.594466499f, - 0.805031331f, 0.593232295f, - 0.805940391f, 0.591996695f, - 0.806847554f, 0.590759702f, - 0.807752818f, 0.589521319f, - 0.808656182f, 0.588281548f, - 0.809557642f, 0.587040394f, - 0.810457198f, 0.585797857f, - 0.811354847f, 0.584553943f, - 0.812250587f, 0.583308653f, - 0.813144415f, 0.582061990f, - 0.814036330f, 0.580813958f, - 0.814926329f, 0.579564559f, - 0.815814411f, 0.578313796f, - 0.816700573f, 0.577061673f, - 0.817584813f, 0.575808191f, - 0.818467130f, 0.574553355f, - 0.819347520f, 0.573297167f, - 0.820225983f, 0.572039629f, - 0.821102515f, 0.570780746f, - 0.821977115f, 0.569520519f, - 0.822849781f, 0.568258953f, - 0.823720511f, 0.566996049f, - 0.824589303f, 0.565731811f, - 0.825456154f, 0.564466242f, - 0.826321063f, 0.563199344f, - 0.827184027f, 0.561931121f, - 0.828045045f, 0.560661576f, - 0.828904115f, 0.559390712f, - 0.829761234f, 0.558118531f, - 0.830616400f, 0.556845037f, - 0.831469612f, 0.555570233f, - 0.832320868f, 0.554294121f, - 0.833170165f, 0.553016706f, - 0.834017501f, 0.551737988f, - 0.834862875f, 0.550457973f, - 0.835706284f, 0.549176662f, - 0.836547727f, 0.547894059f, - 0.837387202f, 0.546610167f, - 0.838224706f, 0.545324988f, - 0.839060237f, 0.544038527f, - 0.839893794f, 0.542750785f, - 0.840725375f, 0.541461766f, - 0.841554977f, 0.540171473f, - 0.842382600f, 0.538879909f, - 0.843208240f, 0.537587076f, - 0.844031895f, 0.536292979f, - 0.844853565f, 0.534997620f, - 0.845673247f, 0.533701002f, - 0.846490939f, 0.532403128f, - 0.847306639f, 0.531104001f, - 0.848120345f, 0.529803625f, - 0.848932055f, 0.528502002f, - 0.849741768f, 0.527199135f, - 0.850549481f, 0.525895027f, - 0.851355193f, 0.524589683f, - 0.852158902f, 0.523283103f, - 0.852960605f, 0.521975293f, - 0.853760301f, 0.520666254f, - 0.854557988f, 0.519355990f, - 0.855353665f, 0.518044504f, - 0.856147328f, 0.516731799f, - 0.856938977f, 0.515417878f, - 0.857728610f, 0.514102744f, - 0.858516224f, 0.512786401f, - 0.859301818f, 0.511468850f, - 0.860085390f, 0.510150097f, - 0.860866939f, 0.508830143f, - 0.861646461f, 0.507508991f, - 0.862423956f, 0.506186645f, - 0.863199422f, 0.504863109f, - 0.863972856f, 0.503538384f, - 0.864744258f, 0.502212474f, - 0.865513624f, 0.500885383f, - 0.866280954f, 0.499557113f, - 0.867046246f, 0.498227667f, - 0.867809497f, 0.496897049f, - 0.868570706f, 0.495565262f, - 0.869329871f, 0.494232309f, - 0.870086991f, 0.492898192f, - 0.870842063f, 0.491562916f, - 0.871595087f, 0.490226483f, - 0.872346059f, 0.488888897f, - 0.873094978f, 0.487550160f, - 0.873841843f, 0.486210276f, - 0.874586652f, 0.484869248f, - 0.875329403f, 0.483527079f, - 0.876070094f, 0.482183772f, - 0.876808724f, 0.480839331f, - 0.877545290f, 0.479493758f, - 0.878279792f, 0.478147056f, - 0.879012226f, 0.476799230f, - 0.879742593f, 0.475450282f, - 0.880470889f, 0.474100215f, - 0.881197113f, 0.472749032f, - 0.881921264f, 0.471396737f, - 0.882643340f, 0.470043332f, - 0.883363339f, 0.468688822f, - 0.884081259f, 0.467333209f, - 0.884797098f, 0.465976496f, - 0.885510856f, 0.464618686f, - 0.886222530f, 0.463259784f, - 0.886932119f, 0.461899791f, - 0.887639620f, 0.460538711f, - 0.888345033f, 0.459176548f, - 0.889048356f, 0.457813304f, - 0.889749586f, 0.456448982f, - 0.890448723f, 0.455083587f, - 0.891145765f, 0.453717121f, - 0.891840709f, 0.452349587f, - 0.892533555f, 0.450980989f, - 0.893224301f, 0.449611330f, - 0.893912945f, 0.448240612f, - 0.894599486f, 0.446868840f, - 0.895283921f, 0.445496017f, - 0.895966250f, 0.444122145f, - 0.896646470f, 0.442747228f, - 0.897324581f, 0.441371269f, - 0.898000580f, 0.439994271f, - 0.898674466f, 0.438616239f, - 0.899346237f, 0.437237174f, - 0.900015892f, 0.435857080f, - 0.900683429f, 0.434475961f, - 0.901348847f, 0.433093819f, - 0.902012144f, 0.431710658f, - 0.902673318f, 0.430326481f, - 0.903332368f, 0.428941292f, - 0.903989293f, 0.427555093f, - 0.904644091f, 0.426167889f, - 0.905296759f, 0.424779681f, - 0.905947298f, 0.423390474f, - 0.906595705f, 0.422000271f, - 0.907241978f, 0.420609074f, - 0.907886116f, 0.419216888f, - 0.908528119f, 0.417823716f, - 0.909167983f, 0.416429560f, - 0.909805708f, 0.415034424f, - 0.910441292f, 0.413638312f, - 0.911074734f, 0.412241227f, - 0.911706032f, 0.410843171f, - 0.912335185f, 0.409444149f, - 0.912962190f, 0.408044163f, - 0.913587048f, 0.406643217f, - 0.914209756f, 0.405241314f, - 0.914830312f, 0.403838458f, - 0.915448716f, 0.402434651f, - 0.916064966f, 0.401029897f, - 0.916679060f, 0.399624200f, - 0.917290997f, 0.398217562f, - 0.917900776f, 0.396809987f, - 0.918508394f, 0.395401479f, - 0.919113852f, 0.393992040f, - 0.919717146f, 0.392581674f, - 0.920318277f, 0.391170384f, - 0.920917242f, 0.389758174f, - 0.921514039f, 0.388345047f, - 0.922108669f, 0.386931006f, - 0.922701128f, 0.385516054f, - 0.923291417f, 0.384100195f, - 0.923879533f, 0.382683432f, - 0.924465474f, 0.381265769f, - 0.925049241f, 0.379847209f, - 0.925630831f, 0.378427755f, - 0.926210242f, 0.377007410f, - 0.926787474f, 0.375586178f, - 0.927362526f, 0.374164063f, - 0.927935395f, 0.372741067f, - 0.928506080f, 0.371317194f, - 0.929074581f, 0.369892447f, - 0.929640896f, 0.368466830f, - 0.930205023f, 0.367040346f, - 0.930766961f, 0.365612998f, - 0.931326709f, 0.364184790f, - 0.931884266f, 0.362755724f, - 0.932439629f, 0.361325806f, - 0.932992799f, 0.359895037f, - 0.933543773f, 0.358463421f, - 0.934092550f, 0.357030961f, - 0.934639130f, 0.355597662f, - 0.935183510f, 0.354163525f, - 0.935725689f, 0.352728556f, - 0.936265667f, 0.351292756f, - 0.936803442f, 0.349856130f, - 0.937339012f, 0.348418680f, - 0.937872376f, 0.346980411f, - 0.938403534f, 0.345541325f, - 0.938932484f, 0.344101426f, - 0.939459224f, 0.342660717f, - 0.939983753f, 0.341219202f, - 0.940506071f, 0.339776884f, - 0.941026175f, 0.338333767f, - 0.941544065f, 0.336889853f, - 0.942059740f, 0.335445147f, - 0.942573198f, 0.333999651f, - 0.943084437f, 0.332553370f, - 0.943593458f, 0.331106306f, - 0.944100258f, 0.329658463f, - 0.944604837f, 0.328209844f, - 0.945107193f, 0.326760452f, - 0.945607325f, 0.325310292f, - 0.946105232f, 0.323859367f, - 0.946600913f, 0.322407679f, - 0.947094366f, 0.320955232f, - 0.947585591f, 0.319502031f, - 0.948074586f, 0.318048077f, - 0.948561350f, 0.316593376f, - 0.949045882f, 0.315137929f, - 0.949528181f, 0.313681740f, - 0.950008245f, 0.312224814f, - 0.950486074f, 0.310767153f, - 0.950961666f, 0.309308760f, - 0.951435021f, 0.307849640f, - 0.951906137f, 0.306389795f, - 0.952375013f, 0.304929230f, - 0.952841648f, 0.303467947f, - 0.953306040f, 0.302005949f, - 0.953768190f, 0.300543241f, - 0.954228095f, 0.299079826f, - 0.954685755f, 0.297615707f, - 0.955141168f, 0.296150888f, - 0.955594334f, 0.294685372f, - 0.956045251f, 0.293219163f, - 0.956493919f, 0.291752263f, - 0.956940336f, 0.290284677f, - 0.957384501f, 0.288816408f, - 0.957826413f, 0.287347460f, - 0.958266071f, 0.285877835f, - 0.958703475f, 0.284407537f, - 0.959138622f, 0.282936570f, - 0.959571513f, 0.281464938f, - 0.960002146f, 0.279992643f, - 0.960430519f, 0.278519689f, - 0.960856633f, 0.277046080f, - 0.961280486f, 0.275571819f, - 0.961702077f, 0.274096910f, - 0.962121404f, 0.272621355f, - 0.962538468f, 0.271145160f, - 0.962953267f, 0.269668326f, - 0.963365800f, 0.268190857f, - 0.963776066f, 0.266712757f, - 0.964184064f, 0.265234030f, - 0.964589793f, 0.263754679f, - 0.964993253f, 0.262274707f, - 0.965394442f, 0.260794118f, - 0.965793359f, 0.259312915f, - 0.966190003f, 0.257831102f, - 0.966584374f, 0.256348682f, - 0.966976471f, 0.254865660f, - 0.967366292f, 0.253382037f, - 0.967753837f, 0.251897818f, - 0.968139105f, 0.250413007f, - 0.968522094f, 0.248927606f, - 0.968902805f, 0.247441619f, - 0.969281235f, 0.245955050f, - 0.969657385f, 0.244467903f, - 0.970031253f, 0.242980180f, - 0.970402839f, 0.241491885f, - 0.970772141f, 0.240003022f, - 0.971139158f, 0.238513595f, - 0.971503891f, 0.237023606f, - 0.971866337f, 0.235533059f, - 0.972226497f, 0.234041959f, - 0.972584369f, 0.232550307f, - 0.972939952f, 0.231058108f, - 0.973293246f, 0.229565366f, - 0.973644250f, 0.228072083f, - 0.973992962f, 0.226578264f, - 0.974339383f, 0.225083911f, - 0.974683511f, 0.223589029f, - 0.975025345f, 0.222093621f, - 0.975364885f, 0.220597690f, - 0.975702130f, 0.219101240f, - 0.976037079f, 0.217604275f, - 0.976369731f, 0.216106797f, - 0.976700086f, 0.214608811f, - 0.977028143f, 0.213110320f, - 0.977353900f, 0.211611327f, - 0.977677358f, 0.210111837f, - 0.977998515f, 0.208611852f, - 0.978317371f, 0.207111376f, - 0.978633924f, 0.205610413f, - 0.978948175f, 0.204108966f, - 0.979260123f, 0.202607039f, - 0.979569766f, 0.201104635f, - 0.979877104f, 0.199601758f, - 0.980182136f, 0.198098411f, - 0.980484862f, 0.196594598f, - 0.980785280f, 0.195090322f, - 0.981083391f, 0.193585587f, - 0.981379193f, 0.192080397f, - 0.981672686f, 0.190574755f, - 0.981963869f, 0.189068664f, - 0.982252741f, 0.187562129f, - 0.982539302f, 0.186055152f, - 0.982823551f, 0.184547737f, - 0.983105487f, 0.183039888f, - 0.983385110f, 0.181531608f, - 0.983662419f, 0.180022901f, - 0.983937413f, 0.178513771f, - 0.984210092f, 0.177004220f, - 0.984480455f, 0.175494253f, - 0.984748502f, 0.173983873f, - 0.985014231f, 0.172473084f, - 0.985277642f, 0.170961889f, - 0.985538735f, 0.169450291f, - 0.985797509f, 0.167938295f, - 0.986053963f, 0.166425904f, - 0.986308097f, 0.164913120f, - 0.986559910f, 0.163399949f, - 0.986809402f, 0.161886394f, - 0.987056571f, 0.160372457f, - 0.987301418f, 0.158858143f, - 0.987543942f, 0.157343456f, - 0.987784142f, 0.155828398f, - 0.988022017f, 0.154312973f, - 0.988257568f, 0.152797185f, - 0.988490793f, 0.151281038f, - 0.988721692f, 0.149764535f, - 0.988950265f, 0.148247679f, - 0.989176510f, 0.146730474f, - 0.989400428f, 0.145212925f, - 0.989622017f, 0.143695033f, - 0.989841278f, 0.142176804f, - 0.990058210f, 0.140658239f, - 0.990272812f, 0.139139344f, - 0.990485084f, 0.137620122f, - 0.990695025f, 0.136100575f, - 0.990902635f, 0.134580709f, - 0.991107914f, 0.133060525f, - 0.991310860f, 0.131540029f, - 0.991511473f, 0.130019223f, - 0.991709754f, 0.128498111f, - 0.991905700f, 0.126976696f, - 0.992099313f, 0.125454983f, - 0.992290591f, 0.123932975f, - 0.992479535f, 0.122410675f, - 0.992666142f, 0.120888087f, - 0.992850414f, 0.119365215f, - 0.993032350f, 0.117842062f, - 0.993211949f, 0.116318631f, - 0.993389211f, 0.114794927f, - 0.993564136f, 0.113270952f, - 0.993736722f, 0.111746711f, - 0.993906970f, 0.110222207f, - 0.994074879f, 0.108697444f, - 0.994240449f, 0.107172425f, - 0.994403680f, 0.105647154f, - 0.994564571f, 0.104121634f, - 0.994723121f, 0.102595869f, - 0.994879331f, 0.101069863f, - 0.995033199f, 0.099543619f, - 0.995184727f, 0.098017140f, - 0.995333912f, 0.096490431f, - 0.995480755f, 0.094963495f, - 0.995625256f, 0.093436336f, - 0.995767414f, 0.091908956f, - 0.995907229f, 0.090381361f, - 0.996044701f, 0.088853553f, - 0.996179829f, 0.087325535f, - 0.996312612f, 0.085797312f, - 0.996443051f, 0.084268888f, - 0.996571146f, 0.082740265f, - 0.996696895f, 0.081211447f, - 0.996820299f, 0.079682438f, - 0.996941358f, 0.078153242f, - 0.997060070f, 0.076623861f, - 0.997176437f, 0.075094301f, - 0.997290457f, 0.073564564f, - 0.997402130f, 0.072034653f, - 0.997511456f, 0.070504573f, - 0.997618435f, 0.068974328f, - 0.997723067f, 0.067443920f, - 0.997825350f, 0.065913353f, - 0.997925286f, 0.064382631f, - 0.998022874f, 0.062851758f, - 0.998118113f, 0.061320736f, - 0.998211003f, 0.059789571f, - 0.998301545f, 0.058258265f, - 0.998389737f, 0.056726821f, - 0.998475581f, 0.055195244f, - 0.998559074f, 0.053663538f, - 0.998640218f, 0.052131705f, - 0.998719012f, 0.050599749f, - 0.998795456f, 0.049067674f, - 0.998869550f, 0.047535484f, - 0.998941293f, 0.046003182f, - 0.999010686f, 0.044470772f, - 0.999077728f, 0.042938257f, - 0.999142419f, 0.041405641f, - 0.999204759f, 0.039872928f, - 0.999264747f, 0.038340120f, - 0.999322385f, 0.036807223f, - 0.999377670f, 0.035274239f, - 0.999430605f, 0.033741172f, - 0.999481187f, 0.032208025f, - 0.999529418f, 0.030674803f, - 0.999575296f, 0.029141509f, - 0.999618822f, 0.027608146f, - 0.999659997f, 0.026074718f, - 0.999698819f, 0.024541229f, - 0.999735288f, 0.023007681f, - 0.999769405f, 0.021474080f, - 0.999801170f, 0.019940429f, - 0.999830582f, 0.018406730f, - 0.999857641f, 0.016872988f, - 0.999882347f, 0.015339206f, - 0.999904701f, 0.013805389f, - 0.999924702f, 0.012271538f, - 0.999942350f, 0.010737659f, - 0.999957645f, 0.009203755f, - 0.999970586f, 0.007669829f, - 0.999981175f, 0.006135885f, - 0.999989411f, 0.004601926f, - 0.999995294f, 0.003067957f, - 0.999998823f, 0.001533980f, - 1.000000000f, 0.000000000f, - 0.999998823f, -0.001533980f, - 0.999995294f, -0.003067957f, - 0.999989411f, -0.004601926f, - 0.999981175f, -0.006135885f, - 0.999970586f, -0.007669829f, - 0.999957645f, -0.009203755f, - 0.999942350f, -0.010737659f, - 0.999924702f, -0.012271538f, - 0.999904701f, -0.013805389f, - 0.999882347f, -0.015339206f, - 0.999857641f, -0.016872988f, - 0.999830582f, -0.018406730f, - 0.999801170f, -0.019940429f, - 0.999769405f, -0.021474080f, - 0.999735288f, -0.023007681f, - 0.999698819f, -0.024541229f, - 0.999659997f, -0.026074718f, - 0.999618822f, -0.027608146f, - 0.999575296f, -0.029141509f, - 0.999529418f, -0.030674803f, - 0.999481187f, -0.032208025f, - 0.999430605f, -0.033741172f, - 0.999377670f, -0.035274239f, - 0.999322385f, -0.036807223f, - 0.999264747f, -0.038340120f, - 0.999204759f, -0.039872928f, - 0.999142419f, -0.041405641f, - 0.999077728f, -0.042938257f, - 0.999010686f, -0.044470772f, - 0.998941293f, -0.046003182f, - 0.998869550f, -0.047535484f, - 0.998795456f, -0.049067674f, - 0.998719012f, -0.050599749f, - 0.998640218f, -0.052131705f, - 0.998559074f, -0.053663538f, - 0.998475581f, -0.055195244f, - 0.998389737f, -0.056726821f, - 0.998301545f, -0.058258265f, - 0.998211003f, -0.059789571f, - 0.998118113f, -0.061320736f, - 0.998022874f, -0.062851758f, - 0.997925286f, -0.064382631f, - 0.997825350f, -0.065913353f, - 0.997723067f, -0.067443920f, - 0.997618435f, -0.068974328f, - 0.997511456f, -0.070504573f, - 0.997402130f, -0.072034653f, - 0.997290457f, -0.073564564f, - 0.997176437f, -0.075094301f, - 0.997060070f, -0.076623861f, - 0.996941358f, -0.078153242f, - 0.996820299f, -0.079682438f, - 0.996696895f, -0.081211447f, - 0.996571146f, -0.082740265f, - 0.996443051f, -0.084268888f, - 0.996312612f, -0.085797312f, - 0.996179829f, -0.087325535f, - 0.996044701f, -0.088853553f, - 0.995907229f, -0.090381361f, - 0.995767414f, -0.091908956f, - 0.995625256f, -0.093436336f, - 0.995480755f, -0.094963495f, - 0.995333912f, -0.096490431f, - 0.995184727f, -0.098017140f, - 0.995033199f, -0.099543619f, - 0.994879331f, -0.101069863f, - 0.994723121f, -0.102595869f, - 0.994564571f, -0.104121634f, - 0.994403680f, -0.105647154f, - 0.994240449f, -0.107172425f, - 0.994074879f, -0.108697444f, - 0.993906970f, -0.110222207f, - 0.993736722f, -0.111746711f, - 0.993564136f, -0.113270952f, - 0.993389211f, -0.114794927f, - 0.993211949f, -0.116318631f, - 0.993032350f, -0.117842062f, - 0.992850414f, -0.119365215f, - 0.992666142f, -0.120888087f, - 0.992479535f, -0.122410675f, - 0.992290591f, -0.123932975f, - 0.992099313f, -0.125454983f, - 0.991905700f, -0.126976696f, - 0.991709754f, -0.128498111f, - 0.991511473f, -0.130019223f, - 0.991310860f, -0.131540029f, - 0.991107914f, -0.133060525f, - 0.990902635f, -0.134580709f, - 0.990695025f, -0.136100575f, - 0.990485084f, -0.137620122f, - 0.990272812f, -0.139139344f, - 0.990058210f, -0.140658239f, - 0.989841278f, -0.142176804f, - 0.989622017f, -0.143695033f, - 0.989400428f, -0.145212925f, - 0.989176510f, -0.146730474f, - 0.988950265f, -0.148247679f, - 0.988721692f, -0.149764535f, - 0.988490793f, -0.151281038f, - 0.988257568f, -0.152797185f, - 0.988022017f, -0.154312973f, - 0.987784142f, -0.155828398f, - 0.987543942f, -0.157343456f, - 0.987301418f, -0.158858143f, - 0.987056571f, -0.160372457f, - 0.986809402f, -0.161886394f, - 0.986559910f, -0.163399949f, - 0.986308097f, -0.164913120f, - 0.986053963f, -0.166425904f, - 0.985797509f, -0.167938295f, - 0.985538735f, -0.169450291f, - 0.985277642f, -0.170961889f, - 0.985014231f, -0.172473084f, - 0.984748502f, -0.173983873f, - 0.984480455f, -0.175494253f, - 0.984210092f, -0.177004220f, - 0.983937413f, -0.178513771f, - 0.983662419f, -0.180022901f, - 0.983385110f, -0.181531608f, - 0.983105487f, -0.183039888f, - 0.982823551f, -0.184547737f, - 0.982539302f, -0.186055152f, - 0.982252741f, -0.187562129f, - 0.981963869f, -0.189068664f, - 0.981672686f, -0.190574755f, - 0.981379193f, -0.192080397f, - 0.981083391f, -0.193585587f, - 0.980785280f, -0.195090322f, - 0.980484862f, -0.196594598f, - 0.980182136f, -0.198098411f, - 0.979877104f, -0.199601758f, - 0.979569766f, -0.201104635f, - 0.979260123f, -0.202607039f, - 0.978948175f, -0.204108966f, - 0.978633924f, -0.205610413f, - 0.978317371f, -0.207111376f, - 0.977998515f, -0.208611852f, - 0.977677358f, -0.210111837f, - 0.977353900f, -0.211611327f, - 0.977028143f, -0.213110320f, - 0.976700086f, -0.214608811f, - 0.976369731f, -0.216106797f, - 0.976037079f, -0.217604275f, - 0.975702130f, -0.219101240f, - 0.975364885f, -0.220597690f, - 0.975025345f, -0.222093621f, - 0.974683511f, -0.223589029f, - 0.974339383f, -0.225083911f, - 0.973992962f, -0.226578264f, - 0.973644250f, -0.228072083f, - 0.973293246f, -0.229565366f, - 0.972939952f, -0.231058108f, - 0.972584369f, -0.232550307f, - 0.972226497f, -0.234041959f, - 0.971866337f, -0.235533059f, - 0.971503891f, -0.237023606f, - 0.971139158f, -0.238513595f, - 0.970772141f, -0.240003022f, - 0.970402839f, -0.241491885f, - 0.970031253f, -0.242980180f, - 0.969657385f, -0.244467903f, - 0.969281235f, -0.245955050f, - 0.968902805f, -0.247441619f, - 0.968522094f, -0.248927606f, - 0.968139105f, -0.250413007f, - 0.967753837f, -0.251897818f, - 0.967366292f, -0.253382037f, - 0.966976471f, -0.254865660f, - 0.966584374f, -0.256348682f, - 0.966190003f, -0.257831102f, - 0.965793359f, -0.259312915f, - 0.965394442f, -0.260794118f, - 0.964993253f, -0.262274707f, - 0.964589793f, -0.263754679f, - 0.964184064f, -0.265234030f, - 0.963776066f, -0.266712757f, - 0.963365800f, -0.268190857f, - 0.962953267f, -0.269668326f, - 0.962538468f, -0.271145160f, - 0.962121404f, -0.272621355f, - 0.961702077f, -0.274096910f, - 0.961280486f, -0.275571819f, - 0.960856633f, -0.277046080f, - 0.960430519f, -0.278519689f, - 0.960002146f, -0.279992643f, - 0.959571513f, -0.281464938f, - 0.959138622f, -0.282936570f, - 0.958703475f, -0.284407537f, - 0.958266071f, -0.285877835f, - 0.957826413f, -0.287347460f, - 0.957384501f, -0.288816408f, - 0.956940336f, -0.290284677f, - 0.956493919f, -0.291752263f, - 0.956045251f, -0.293219163f, - 0.955594334f, -0.294685372f, - 0.955141168f, -0.296150888f, - 0.954685755f, -0.297615707f, - 0.954228095f, -0.299079826f, - 0.953768190f, -0.300543241f, - 0.953306040f, -0.302005949f, - 0.952841648f, -0.303467947f, - 0.952375013f, -0.304929230f, - 0.951906137f, -0.306389795f, - 0.951435021f, -0.307849640f, - 0.950961666f, -0.309308760f, - 0.950486074f, -0.310767153f, - 0.950008245f, -0.312224814f, - 0.949528181f, -0.313681740f, - 0.949045882f, -0.315137929f, - 0.948561350f, -0.316593376f, - 0.948074586f, -0.318048077f, - 0.947585591f, -0.319502031f, - 0.947094366f, -0.320955232f, - 0.946600913f, -0.322407679f, - 0.946105232f, -0.323859367f, - 0.945607325f, -0.325310292f, - 0.945107193f, -0.326760452f, - 0.944604837f, -0.328209844f, - 0.944100258f, -0.329658463f, - 0.943593458f, -0.331106306f, - 0.943084437f, -0.332553370f, - 0.942573198f, -0.333999651f, - 0.942059740f, -0.335445147f, - 0.941544065f, -0.336889853f, - 0.941026175f, -0.338333767f, - 0.940506071f, -0.339776884f, - 0.939983753f, -0.341219202f, - 0.939459224f, -0.342660717f, - 0.938932484f, -0.344101426f, - 0.938403534f, -0.345541325f, - 0.937872376f, -0.346980411f, - 0.937339012f, -0.348418680f, - 0.936803442f, -0.349856130f, - 0.936265667f, -0.351292756f, - 0.935725689f, -0.352728556f, - 0.935183510f, -0.354163525f, - 0.934639130f, -0.355597662f, - 0.934092550f, -0.357030961f, - 0.933543773f, -0.358463421f, - 0.932992799f, -0.359895037f, - 0.932439629f, -0.361325806f, - 0.931884266f, -0.362755724f, - 0.931326709f, -0.364184790f, - 0.930766961f, -0.365612998f, - 0.930205023f, -0.367040346f, - 0.929640896f, -0.368466830f, - 0.929074581f, -0.369892447f, - 0.928506080f, -0.371317194f, - 0.927935395f, -0.372741067f, - 0.927362526f, -0.374164063f, - 0.926787474f, -0.375586178f, - 0.926210242f, -0.377007410f, - 0.925630831f, -0.378427755f, - 0.925049241f, -0.379847209f, - 0.924465474f, -0.381265769f, - 0.923879533f, -0.382683432f, - 0.923291417f, -0.384100195f, - 0.922701128f, -0.385516054f, - 0.922108669f, -0.386931006f, - 0.921514039f, -0.388345047f, - 0.920917242f, -0.389758174f, - 0.920318277f, -0.391170384f, - 0.919717146f, -0.392581674f, - 0.919113852f, -0.393992040f, - 0.918508394f, -0.395401479f, - 0.917900776f, -0.396809987f, - 0.917290997f, -0.398217562f, - 0.916679060f, -0.399624200f, - 0.916064966f, -0.401029897f, - 0.915448716f, -0.402434651f, - 0.914830312f, -0.403838458f, - 0.914209756f, -0.405241314f, - 0.913587048f, -0.406643217f, - 0.912962190f, -0.408044163f, - 0.912335185f, -0.409444149f, - 0.911706032f, -0.410843171f, - 0.911074734f, -0.412241227f, - 0.910441292f, -0.413638312f, - 0.909805708f, -0.415034424f, - 0.909167983f, -0.416429560f, - 0.908528119f, -0.417823716f, - 0.907886116f, -0.419216888f, - 0.907241978f, -0.420609074f, - 0.906595705f, -0.422000271f, - 0.905947298f, -0.423390474f, - 0.905296759f, -0.424779681f, - 0.904644091f, -0.426167889f, - 0.903989293f, -0.427555093f, - 0.903332368f, -0.428941292f, - 0.902673318f, -0.430326481f, - 0.902012144f, -0.431710658f, - 0.901348847f, -0.433093819f, - 0.900683429f, -0.434475961f, - 0.900015892f, -0.435857080f, - 0.899346237f, -0.437237174f, - 0.898674466f, -0.438616239f, - 0.898000580f, -0.439994271f, - 0.897324581f, -0.441371269f, - 0.896646470f, -0.442747228f, - 0.895966250f, -0.444122145f, - 0.895283921f, -0.445496017f, - 0.894599486f, -0.446868840f, - 0.893912945f, -0.448240612f, - 0.893224301f, -0.449611330f, - 0.892533555f, -0.450980989f, - 0.891840709f, -0.452349587f, - 0.891145765f, -0.453717121f, - 0.890448723f, -0.455083587f, - 0.889749586f, -0.456448982f, - 0.889048356f, -0.457813304f, - 0.888345033f, -0.459176548f, - 0.887639620f, -0.460538711f, - 0.886932119f, -0.461899791f, - 0.886222530f, -0.463259784f, - 0.885510856f, -0.464618686f, - 0.884797098f, -0.465976496f, - 0.884081259f, -0.467333209f, - 0.883363339f, -0.468688822f, - 0.882643340f, -0.470043332f, - 0.881921264f, -0.471396737f, - 0.881197113f, -0.472749032f, - 0.880470889f, -0.474100215f, - 0.879742593f, -0.475450282f, - 0.879012226f, -0.476799230f, - 0.878279792f, -0.478147056f, - 0.877545290f, -0.479493758f, - 0.876808724f, -0.480839331f, - 0.876070094f, -0.482183772f, - 0.875329403f, -0.483527079f, - 0.874586652f, -0.484869248f, - 0.873841843f, -0.486210276f, - 0.873094978f, -0.487550160f, - 0.872346059f, -0.488888897f, - 0.871595087f, -0.490226483f, - 0.870842063f, -0.491562916f, - 0.870086991f, -0.492898192f, - 0.869329871f, -0.494232309f, - 0.868570706f, -0.495565262f, - 0.867809497f, -0.496897049f, - 0.867046246f, -0.498227667f, - 0.866280954f, -0.499557113f, - 0.865513624f, -0.500885383f, - 0.864744258f, -0.502212474f, - 0.863972856f, -0.503538384f, - 0.863199422f, -0.504863109f, - 0.862423956f, -0.506186645f, - 0.861646461f, -0.507508991f, - 0.860866939f, -0.508830143f, - 0.860085390f, -0.510150097f, - 0.859301818f, -0.511468850f, - 0.858516224f, -0.512786401f, - 0.857728610f, -0.514102744f, - 0.856938977f, -0.515417878f, - 0.856147328f, -0.516731799f, - 0.855353665f, -0.518044504f, - 0.854557988f, -0.519355990f, - 0.853760301f, -0.520666254f, - 0.852960605f, -0.521975293f, - 0.852158902f, -0.523283103f, - 0.851355193f, -0.524589683f, - 0.850549481f, -0.525895027f, - 0.849741768f, -0.527199135f, - 0.848932055f, -0.528502002f, - 0.848120345f, -0.529803625f, - 0.847306639f, -0.531104001f, - 0.846490939f, -0.532403128f, - 0.845673247f, -0.533701002f, - 0.844853565f, -0.534997620f, - 0.844031895f, -0.536292979f, - 0.843208240f, -0.537587076f, - 0.842382600f, -0.538879909f, - 0.841554977f, -0.540171473f, - 0.840725375f, -0.541461766f, - 0.839893794f, -0.542750785f, - 0.839060237f, -0.544038527f, - 0.838224706f, -0.545324988f, - 0.837387202f, -0.546610167f, - 0.836547727f, -0.547894059f, - 0.835706284f, -0.549176662f, - 0.834862875f, -0.550457973f, - 0.834017501f, -0.551737988f, - 0.833170165f, -0.553016706f, - 0.832320868f, -0.554294121f, - 0.831469612f, -0.555570233f, - 0.830616400f, -0.556845037f, - 0.829761234f, -0.558118531f, - 0.828904115f, -0.559390712f, - 0.828045045f, -0.560661576f, - 0.827184027f, -0.561931121f, - 0.826321063f, -0.563199344f, - 0.825456154f, -0.564466242f, - 0.824589303f, -0.565731811f, - 0.823720511f, -0.566996049f, - 0.822849781f, -0.568258953f, - 0.821977115f, -0.569520519f, - 0.821102515f, -0.570780746f, - 0.820225983f, -0.572039629f, - 0.819347520f, -0.573297167f, - 0.818467130f, -0.574553355f, - 0.817584813f, -0.575808191f, - 0.816700573f, -0.577061673f, - 0.815814411f, -0.578313796f, - 0.814926329f, -0.579564559f, - 0.814036330f, -0.580813958f, - 0.813144415f, -0.582061990f, - 0.812250587f, -0.583308653f, - 0.811354847f, -0.584553943f, - 0.810457198f, -0.585797857f, - 0.809557642f, -0.587040394f, - 0.808656182f, -0.588281548f, - 0.807752818f, -0.589521319f, - 0.806847554f, -0.590759702f, - 0.805940391f, -0.591996695f, - 0.805031331f, -0.593232295f, - 0.804120377f, -0.594466499f, - 0.803207531f, -0.595699304f, - 0.802292796f, -0.596930708f, - 0.801376172f, -0.598160707f, - 0.800457662f, -0.599389298f, - 0.799537269f, -0.600616479f, - 0.798614995f, -0.601842247f, - 0.797690841f, -0.603066599f, - 0.796764810f, -0.604289531f, - 0.795836905f, -0.605511041f, - 0.794907126f, -0.606731127f, - 0.793975478f, -0.607949785f, - 0.793041960f, -0.609167012f, - 0.792106577f, -0.610382806f, - 0.791169330f, -0.611597164f, - 0.790230221f, -0.612810082f, - 0.789289253f, -0.614021559f, - 0.788346428f, -0.615231591f, - 0.787401747f, -0.616440175f, - 0.786455214f, -0.617647308f, - 0.785506830f, -0.618852988f, - 0.784556597f, -0.620057212f, - 0.783604519f, -0.621259977f, - 0.782650596f, -0.622461279f, - 0.781694832f, -0.623661118f, - 0.780737229f, -0.624859488f, - 0.779777788f, -0.626056388f, - 0.778816512f, -0.627251815f, - 0.777853404f, -0.628445767f, - 0.776888466f, -0.629638239f, - 0.775921699f, -0.630829230f, - 0.774953107f, -0.632018736f, - 0.773982691f, -0.633206755f, - 0.773010453f, -0.634393284f, - 0.772036397f, -0.635578320f, - 0.771060524f, -0.636761861f, - 0.770082837f, -0.637943904f, - 0.769103338f, -0.639124445f, - 0.768122029f, -0.640303482f, - 0.767138912f, -0.641481013f, - 0.766153990f, -0.642657034f, - 0.765167266f, -0.643831543f, - 0.764178741f, -0.645004537f, - 0.763188417f, -0.646176013f, - 0.762196298f, -0.647345969f, - 0.761202385f, -0.648514401f, - 0.760206682f, -0.649681307f, - 0.759209189f, -0.650846685f, - 0.758209910f, -0.652010531f, - 0.757208847f, -0.653172843f, - 0.756206001f, -0.654333618f, - 0.755201377f, -0.655492853f, - 0.754194975f, -0.656650546f, - 0.753186799f, -0.657806693f, - 0.752176850f, -0.658961293f, - 0.751165132f, -0.660114342f, - 0.750151646f, -0.661265838f, - 0.749136395f, -0.662415778f, - 0.748119380f, -0.663564159f, - 0.747100606f, -0.664710978f, - 0.746080074f, -0.665856234f, - 0.745057785f, -0.666999922f, - 0.744033744f, -0.668142041f, - 0.743007952f, -0.669282588f, - 0.741980412f, -0.670421560f, - 0.740951125f, -0.671558955f, - 0.739920095f, -0.672694769f, - 0.738887324f, -0.673829000f, - 0.737852815f, -0.674961646f, - 0.736816569f, -0.676092704f, - 0.735778589f, -0.677222170f, - 0.734738878f, -0.678350043f, - 0.733697438f, -0.679476320f, - 0.732654272f, -0.680600998f, - 0.731609381f, -0.681724074f, - 0.730562769f, -0.682845546f, - 0.729514438f, -0.683965412f, - 0.728464390f, -0.685083668f, - 0.727412629f, -0.686200312f, - 0.726359155f, -0.687315341f, - 0.725303972f, -0.688428753f, - 0.724247083f, -0.689540545f, - 0.723188489f, -0.690650714f, - 0.722128194f, -0.691759258f, - 0.721066199f, -0.692866175f, - 0.720002508f, -0.693971461f, - 0.718937122f, -0.695075114f, - 0.717870045f, -0.696177131f, - 0.716801279f, -0.697277511f, - 0.715730825f, -0.698376249f, - 0.714658688f, -0.699473345f, - 0.713584869f, -0.700568794f, - 0.712509371f, -0.701662595f, - 0.711432196f, -0.702754744f, - 0.710353347f, -0.703845241f, - 0.709272826f, -0.704934080f, - 0.708190637f, -0.706021261f, - 0.707106781f, -0.707106781f, - 0.706021261f, -0.708190637f, - 0.704934080f, -0.709272826f, - 0.703845241f, -0.710353347f, - 0.702754744f, -0.711432196f, - 0.701662595f, -0.712509371f, - 0.700568794f, -0.713584869f, - 0.699473345f, -0.714658688f, - 0.698376249f, -0.715730825f, - 0.697277511f, -0.716801279f, - 0.696177131f, -0.717870045f, - 0.695075114f, -0.718937122f, - 0.693971461f, -0.720002508f, - 0.692866175f, -0.721066199f, - 0.691759258f, -0.722128194f, - 0.690650714f, -0.723188489f, - 0.689540545f, -0.724247083f, - 0.688428753f, -0.725303972f, - 0.687315341f, -0.726359155f, - 0.686200312f, -0.727412629f, - 0.685083668f, -0.728464390f, - 0.683965412f, -0.729514438f, - 0.682845546f, -0.730562769f, - 0.681724074f, -0.731609381f, - 0.680600998f, -0.732654272f, - 0.679476320f, -0.733697438f, - 0.678350043f, -0.734738878f, - 0.677222170f, -0.735778589f, - 0.676092704f, -0.736816569f, - 0.674961646f, -0.737852815f, - 0.673829000f, -0.738887324f, - 0.672694769f, -0.739920095f, - 0.671558955f, -0.740951125f, - 0.670421560f, -0.741980412f, - 0.669282588f, -0.743007952f, - 0.668142041f, -0.744033744f, - 0.666999922f, -0.745057785f, - 0.665856234f, -0.746080074f, - 0.664710978f, -0.747100606f, - 0.663564159f, -0.748119380f, - 0.662415778f, -0.749136395f, - 0.661265838f, -0.750151646f, - 0.660114342f, -0.751165132f, - 0.658961293f, -0.752176850f, - 0.657806693f, -0.753186799f, - 0.656650546f, -0.754194975f, - 0.655492853f, -0.755201377f, - 0.654333618f, -0.756206001f, - 0.653172843f, -0.757208847f, - 0.652010531f, -0.758209910f, - 0.650846685f, -0.759209189f, - 0.649681307f, -0.760206682f, - 0.648514401f, -0.761202385f, - 0.647345969f, -0.762196298f, - 0.646176013f, -0.763188417f, - 0.645004537f, -0.764178741f, - 0.643831543f, -0.765167266f, - 0.642657034f, -0.766153990f, - 0.641481013f, -0.767138912f, - 0.640303482f, -0.768122029f, - 0.639124445f, -0.769103338f, - 0.637943904f, -0.770082837f, - 0.636761861f, -0.771060524f, - 0.635578320f, -0.772036397f, - 0.634393284f, -0.773010453f, - 0.633206755f, -0.773982691f, - 0.632018736f, -0.774953107f, - 0.630829230f, -0.775921699f, - 0.629638239f, -0.776888466f, - 0.628445767f, -0.777853404f, - 0.627251815f, -0.778816512f, - 0.626056388f, -0.779777788f, - 0.624859488f, -0.780737229f, - 0.623661118f, -0.781694832f, - 0.622461279f, -0.782650596f, - 0.621259977f, -0.783604519f, - 0.620057212f, -0.784556597f, - 0.618852988f, -0.785506830f, - 0.617647308f, -0.786455214f, - 0.616440175f, -0.787401747f, - 0.615231591f, -0.788346428f, - 0.614021559f, -0.789289253f, - 0.612810082f, -0.790230221f, - 0.611597164f, -0.791169330f, - 0.610382806f, -0.792106577f, - 0.609167012f, -0.793041960f, - 0.607949785f, -0.793975478f, - 0.606731127f, -0.794907126f, - 0.605511041f, -0.795836905f, - 0.604289531f, -0.796764810f, - 0.603066599f, -0.797690841f, - 0.601842247f, -0.798614995f, - 0.600616479f, -0.799537269f, - 0.599389298f, -0.800457662f, - 0.598160707f, -0.801376172f, - 0.596930708f, -0.802292796f, - 0.595699304f, -0.803207531f, - 0.594466499f, -0.804120377f, - 0.593232295f, -0.805031331f, - 0.591996695f, -0.805940391f, - 0.590759702f, -0.806847554f, - 0.589521319f, -0.807752818f, - 0.588281548f, -0.808656182f, - 0.587040394f, -0.809557642f, - 0.585797857f, -0.810457198f, - 0.584553943f, -0.811354847f, - 0.583308653f, -0.812250587f, - 0.582061990f, -0.813144415f, - 0.580813958f, -0.814036330f, - 0.579564559f, -0.814926329f, - 0.578313796f, -0.815814411f, - 0.577061673f, -0.816700573f, - 0.575808191f, -0.817584813f, - 0.574553355f, -0.818467130f, - 0.573297167f, -0.819347520f, - 0.572039629f, -0.820225983f, - 0.570780746f, -0.821102515f, - 0.569520519f, -0.821977115f, - 0.568258953f, -0.822849781f, - 0.566996049f, -0.823720511f, - 0.565731811f, -0.824589303f, - 0.564466242f, -0.825456154f, - 0.563199344f, -0.826321063f, - 0.561931121f, -0.827184027f, - 0.560661576f, -0.828045045f, - 0.559390712f, -0.828904115f, - 0.558118531f, -0.829761234f, - 0.556845037f, -0.830616400f, - 0.555570233f, -0.831469612f, - 0.554294121f, -0.832320868f, - 0.553016706f, -0.833170165f, - 0.551737988f, -0.834017501f, - 0.550457973f, -0.834862875f, - 0.549176662f, -0.835706284f, - 0.547894059f, -0.836547727f, - 0.546610167f, -0.837387202f, - 0.545324988f, -0.838224706f, - 0.544038527f, -0.839060237f, - 0.542750785f, -0.839893794f, - 0.541461766f, -0.840725375f, - 0.540171473f, -0.841554977f, - 0.538879909f, -0.842382600f, - 0.537587076f, -0.843208240f, - 0.536292979f, -0.844031895f, - 0.534997620f, -0.844853565f, - 0.533701002f, -0.845673247f, - 0.532403128f, -0.846490939f, - 0.531104001f, -0.847306639f, - 0.529803625f, -0.848120345f, - 0.528502002f, -0.848932055f, - 0.527199135f, -0.849741768f, - 0.525895027f, -0.850549481f, - 0.524589683f, -0.851355193f, - 0.523283103f, -0.852158902f, - 0.521975293f, -0.852960605f, - 0.520666254f, -0.853760301f, - 0.519355990f, -0.854557988f, - 0.518044504f, -0.855353665f, - 0.516731799f, -0.856147328f, - 0.515417878f, -0.856938977f, - 0.514102744f, -0.857728610f, - 0.512786401f, -0.858516224f, - 0.511468850f, -0.859301818f, - 0.510150097f, -0.860085390f, - 0.508830143f, -0.860866939f, - 0.507508991f, -0.861646461f, - 0.506186645f, -0.862423956f, - 0.504863109f, -0.863199422f, - 0.503538384f, -0.863972856f, - 0.502212474f, -0.864744258f, - 0.500885383f, -0.865513624f, - 0.499557113f, -0.866280954f, - 0.498227667f, -0.867046246f, - 0.496897049f, -0.867809497f, - 0.495565262f, -0.868570706f, - 0.494232309f, -0.869329871f, - 0.492898192f, -0.870086991f, - 0.491562916f, -0.870842063f, - 0.490226483f, -0.871595087f, - 0.488888897f, -0.872346059f, - 0.487550160f, -0.873094978f, - 0.486210276f, -0.873841843f, - 0.484869248f, -0.874586652f, - 0.483527079f, -0.875329403f, - 0.482183772f, -0.876070094f, - 0.480839331f, -0.876808724f, - 0.479493758f, -0.877545290f, - 0.478147056f, -0.878279792f, - 0.476799230f, -0.879012226f, - 0.475450282f, -0.879742593f, - 0.474100215f, -0.880470889f, - 0.472749032f, -0.881197113f, - 0.471396737f, -0.881921264f, - 0.470043332f, -0.882643340f, - 0.468688822f, -0.883363339f, - 0.467333209f, -0.884081259f, - 0.465976496f, -0.884797098f, - 0.464618686f, -0.885510856f, - 0.463259784f, -0.886222530f, - 0.461899791f, -0.886932119f, - 0.460538711f, -0.887639620f, - 0.459176548f, -0.888345033f, - 0.457813304f, -0.889048356f, - 0.456448982f, -0.889749586f, - 0.455083587f, -0.890448723f, - 0.453717121f, -0.891145765f, - 0.452349587f, -0.891840709f, - 0.450980989f, -0.892533555f, - 0.449611330f, -0.893224301f, - 0.448240612f, -0.893912945f, - 0.446868840f, -0.894599486f, - 0.445496017f, -0.895283921f, - 0.444122145f, -0.895966250f, - 0.442747228f, -0.896646470f, - 0.441371269f, -0.897324581f, - 0.439994271f, -0.898000580f, - 0.438616239f, -0.898674466f, - 0.437237174f, -0.899346237f, - 0.435857080f, -0.900015892f, - 0.434475961f, -0.900683429f, - 0.433093819f, -0.901348847f, - 0.431710658f, -0.902012144f, - 0.430326481f, -0.902673318f, - 0.428941292f, -0.903332368f, - 0.427555093f, -0.903989293f, - 0.426167889f, -0.904644091f, - 0.424779681f, -0.905296759f, - 0.423390474f, -0.905947298f, - 0.422000271f, -0.906595705f, - 0.420609074f, -0.907241978f, - 0.419216888f, -0.907886116f, - 0.417823716f, -0.908528119f, - 0.416429560f, -0.909167983f, - 0.415034424f, -0.909805708f, - 0.413638312f, -0.910441292f, - 0.412241227f, -0.911074734f, - 0.410843171f, -0.911706032f, - 0.409444149f, -0.912335185f, - 0.408044163f, -0.912962190f, - 0.406643217f, -0.913587048f, - 0.405241314f, -0.914209756f, - 0.403838458f, -0.914830312f, - 0.402434651f, -0.915448716f, - 0.401029897f, -0.916064966f, - 0.399624200f, -0.916679060f, - 0.398217562f, -0.917290997f, - 0.396809987f, -0.917900776f, - 0.395401479f, -0.918508394f, - 0.393992040f, -0.919113852f, - 0.392581674f, -0.919717146f, - 0.391170384f, -0.920318277f, - 0.389758174f, -0.920917242f, - 0.388345047f, -0.921514039f, - 0.386931006f, -0.922108669f, - 0.385516054f, -0.922701128f, - 0.384100195f, -0.923291417f, - 0.382683432f, -0.923879533f, - 0.381265769f, -0.924465474f, - 0.379847209f, -0.925049241f, - 0.378427755f, -0.925630831f, - 0.377007410f, -0.926210242f, - 0.375586178f, -0.926787474f, - 0.374164063f, -0.927362526f, - 0.372741067f, -0.927935395f, - 0.371317194f, -0.928506080f, - 0.369892447f, -0.929074581f, - 0.368466830f, -0.929640896f, - 0.367040346f, -0.930205023f, - 0.365612998f, -0.930766961f, - 0.364184790f, -0.931326709f, - 0.362755724f, -0.931884266f, - 0.361325806f, -0.932439629f, - 0.359895037f, -0.932992799f, - 0.358463421f, -0.933543773f, - 0.357030961f, -0.934092550f, - 0.355597662f, -0.934639130f, - 0.354163525f, -0.935183510f, - 0.352728556f, -0.935725689f, - 0.351292756f, -0.936265667f, - 0.349856130f, -0.936803442f, - 0.348418680f, -0.937339012f, - 0.346980411f, -0.937872376f, - 0.345541325f, -0.938403534f, - 0.344101426f, -0.938932484f, - 0.342660717f, -0.939459224f, - 0.341219202f, -0.939983753f, - 0.339776884f, -0.940506071f, - 0.338333767f, -0.941026175f, - 0.336889853f, -0.941544065f, - 0.335445147f, -0.942059740f, - 0.333999651f, -0.942573198f, - 0.332553370f, -0.943084437f, - 0.331106306f, -0.943593458f, - 0.329658463f, -0.944100258f, - 0.328209844f, -0.944604837f, - 0.326760452f, -0.945107193f, - 0.325310292f, -0.945607325f, - 0.323859367f, -0.946105232f, - 0.322407679f, -0.946600913f, - 0.320955232f, -0.947094366f, - 0.319502031f, -0.947585591f, - 0.318048077f, -0.948074586f, - 0.316593376f, -0.948561350f, - 0.315137929f, -0.949045882f, - 0.313681740f, -0.949528181f, - 0.312224814f, -0.950008245f, - 0.310767153f, -0.950486074f, - 0.309308760f, -0.950961666f, - 0.307849640f, -0.951435021f, - 0.306389795f, -0.951906137f, - 0.304929230f, -0.952375013f, - 0.303467947f, -0.952841648f, - 0.302005949f, -0.953306040f, - 0.300543241f, -0.953768190f, - 0.299079826f, -0.954228095f, - 0.297615707f, -0.954685755f, - 0.296150888f, -0.955141168f, - 0.294685372f, -0.955594334f, - 0.293219163f, -0.956045251f, - 0.291752263f, -0.956493919f, - 0.290284677f, -0.956940336f, - 0.288816408f, -0.957384501f, - 0.287347460f, -0.957826413f, - 0.285877835f, -0.958266071f, - 0.284407537f, -0.958703475f, - 0.282936570f, -0.959138622f, - 0.281464938f, -0.959571513f, - 0.279992643f, -0.960002146f, - 0.278519689f, -0.960430519f, - 0.277046080f, -0.960856633f, - 0.275571819f, -0.961280486f, - 0.274096910f, -0.961702077f, - 0.272621355f, -0.962121404f, - 0.271145160f, -0.962538468f, - 0.269668326f, -0.962953267f, - 0.268190857f, -0.963365800f, - 0.266712757f, -0.963776066f, - 0.265234030f, -0.964184064f, - 0.263754679f, -0.964589793f, - 0.262274707f, -0.964993253f, - 0.260794118f, -0.965394442f, - 0.259312915f, -0.965793359f, - 0.257831102f, -0.966190003f, - 0.256348682f, -0.966584374f, - 0.254865660f, -0.966976471f, - 0.253382037f, -0.967366292f, - 0.251897818f, -0.967753837f, - 0.250413007f, -0.968139105f, - 0.248927606f, -0.968522094f, - 0.247441619f, -0.968902805f, - 0.245955050f, -0.969281235f, - 0.244467903f, -0.969657385f, - 0.242980180f, -0.970031253f, - 0.241491885f, -0.970402839f, - 0.240003022f, -0.970772141f, - 0.238513595f, -0.971139158f, - 0.237023606f, -0.971503891f, - 0.235533059f, -0.971866337f, - 0.234041959f, -0.972226497f, - 0.232550307f, -0.972584369f, - 0.231058108f, -0.972939952f, - 0.229565366f, -0.973293246f, - 0.228072083f, -0.973644250f, - 0.226578264f, -0.973992962f, - 0.225083911f, -0.974339383f, - 0.223589029f, -0.974683511f, - 0.222093621f, -0.975025345f, - 0.220597690f, -0.975364885f, - 0.219101240f, -0.975702130f, - 0.217604275f, -0.976037079f, - 0.216106797f, -0.976369731f, - 0.214608811f, -0.976700086f, - 0.213110320f, -0.977028143f, - 0.211611327f, -0.977353900f, - 0.210111837f, -0.977677358f, - 0.208611852f, -0.977998515f, - 0.207111376f, -0.978317371f, - 0.205610413f, -0.978633924f, - 0.204108966f, -0.978948175f, - 0.202607039f, -0.979260123f, - 0.201104635f, -0.979569766f, - 0.199601758f, -0.979877104f, - 0.198098411f, -0.980182136f, - 0.196594598f, -0.980484862f, - 0.195090322f, -0.980785280f, - 0.193585587f, -0.981083391f, - 0.192080397f, -0.981379193f, - 0.190574755f, -0.981672686f, - 0.189068664f, -0.981963869f, - 0.187562129f, -0.982252741f, - 0.186055152f, -0.982539302f, - 0.184547737f, -0.982823551f, - 0.183039888f, -0.983105487f, - 0.181531608f, -0.983385110f, - 0.180022901f, -0.983662419f, - 0.178513771f, -0.983937413f, - 0.177004220f, -0.984210092f, - 0.175494253f, -0.984480455f, - 0.173983873f, -0.984748502f, - 0.172473084f, -0.985014231f, - 0.170961889f, -0.985277642f, - 0.169450291f, -0.985538735f, - 0.167938295f, -0.985797509f, - 0.166425904f, -0.986053963f, - 0.164913120f, -0.986308097f, - 0.163399949f, -0.986559910f, - 0.161886394f, -0.986809402f, - 0.160372457f, -0.987056571f, - 0.158858143f, -0.987301418f, - 0.157343456f, -0.987543942f, - 0.155828398f, -0.987784142f, - 0.154312973f, -0.988022017f, - 0.152797185f, -0.988257568f, - 0.151281038f, -0.988490793f, - 0.149764535f, -0.988721692f, - 0.148247679f, -0.988950265f, - 0.146730474f, -0.989176510f, - 0.145212925f, -0.989400428f, - 0.143695033f, -0.989622017f, - 0.142176804f, -0.989841278f, - 0.140658239f, -0.990058210f, - 0.139139344f, -0.990272812f, - 0.137620122f, -0.990485084f, - 0.136100575f, -0.990695025f, - 0.134580709f, -0.990902635f, - 0.133060525f, -0.991107914f, - 0.131540029f, -0.991310860f, - 0.130019223f, -0.991511473f, - 0.128498111f, -0.991709754f, - 0.126976696f, -0.991905700f, - 0.125454983f, -0.992099313f, - 0.123932975f, -0.992290591f, - 0.122410675f, -0.992479535f, - 0.120888087f, -0.992666142f, - 0.119365215f, -0.992850414f, - 0.117842062f, -0.993032350f, - 0.116318631f, -0.993211949f, - 0.114794927f, -0.993389211f, - 0.113270952f, -0.993564136f, - 0.111746711f, -0.993736722f, - 0.110222207f, -0.993906970f, - 0.108697444f, -0.994074879f, - 0.107172425f, -0.994240449f, - 0.105647154f, -0.994403680f, - 0.104121634f, -0.994564571f, - 0.102595869f, -0.994723121f, - 0.101069863f, -0.994879331f, - 0.099543619f, -0.995033199f, - 0.098017140f, -0.995184727f, - 0.096490431f, -0.995333912f, - 0.094963495f, -0.995480755f, - 0.093436336f, -0.995625256f, - 0.091908956f, -0.995767414f, - 0.090381361f, -0.995907229f, - 0.088853553f, -0.996044701f, - 0.087325535f, -0.996179829f, - 0.085797312f, -0.996312612f, - 0.084268888f, -0.996443051f, - 0.082740265f, -0.996571146f, - 0.081211447f, -0.996696895f, - 0.079682438f, -0.996820299f, - 0.078153242f, -0.996941358f, - 0.076623861f, -0.997060070f, - 0.075094301f, -0.997176437f, - 0.073564564f, -0.997290457f, - 0.072034653f, -0.997402130f, - 0.070504573f, -0.997511456f, - 0.068974328f, -0.997618435f, - 0.067443920f, -0.997723067f, - 0.065913353f, -0.997825350f, - 0.064382631f, -0.997925286f, - 0.062851758f, -0.998022874f, - 0.061320736f, -0.998118113f, - 0.059789571f, -0.998211003f, - 0.058258265f, -0.998301545f, - 0.056726821f, -0.998389737f, - 0.055195244f, -0.998475581f, - 0.053663538f, -0.998559074f, - 0.052131705f, -0.998640218f, - 0.050599749f, -0.998719012f, - 0.049067674f, -0.998795456f, - 0.047535484f, -0.998869550f, - 0.046003182f, -0.998941293f, - 0.044470772f, -0.999010686f, - 0.042938257f, -0.999077728f, - 0.041405641f, -0.999142419f, - 0.039872928f, -0.999204759f, - 0.038340120f, -0.999264747f, - 0.036807223f, -0.999322385f, - 0.035274239f, -0.999377670f, - 0.033741172f, -0.999430605f, - 0.032208025f, -0.999481187f, - 0.030674803f, -0.999529418f, - 0.029141509f, -0.999575296f, - 0.027608146f, -0.999618822f, - 0.026074718f, -0.999659997f, - 0.024541229f, -0.999698819f, - 0.023007681f, -0.999735288f, - 0.021474080f, -0.999769405f, - 0.019940429f, -0.999801170f, - 0.018406730f, -0.999830582f, - 0.016872988f, -0.999857641f, - 0.015339206f, -0.999882347f, - 0.013805389f, -0.999904701f, - 0.012271538f, -0.999924702f, - 0.010737659f, -0.999942350f, - 0.009203755f, -0.999957645f, - 0.007669829f, -0.999970586f, - 0.006135885f, -0.999981175f, - 0.004601926f, -0.999989411f, - 0.003067957f, -0.999995294f, - 0.001533980f, -0.999998823f -};
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_conj_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,182 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_conj_f32.c -* -* Description: Floating-point complex conjugate. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @defgroup cmplx_conj Complex Conjugate - * - * Conjugates the elements of a complex data vector. - * - * The <code>pSrc</code> points to the source data and - * <code>pDst</code> points to the where the result should be written. - * <code>numSamples</code> specifies the number of complex samples - * and the data in each array is stored in an interleaved fashion - * (real, imag, real, imag, ...). - * Each array has a total of <code>2*numSamples</code> values. - * The underlying algorithm is used: - * - * <pre> - * for(n=0; n<numSamples; n++) { - * pDst[(2*n)+0)] = pSrc[(2*n)+0]; // real part - * pDst[(2*n)+1)] = -pSrc[(2*n)+1]; // imag part - * } - * </pre> - * - * There are separate functions for floating-point, Q15, and Q31 data types. - */ - -/** - * @addtogroup cmplx_conj - * @{ - */ - -/** - * @brief Floating-point complex conjugate. - * @param *pSrc points to the input vector - * @param *pDst points to the output vector - * @param numSamples number of complex samples in each vector - * @return none. - */ - -void arm_cmplx_conj_f32( - float32_t * pSrc, - float32_t * pDst, - uint32_t numSamples) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t inR1, inR2, inR3, inR4; - float32_t inI1, inI2, inI3, inI4; - - /*loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C[0]+jC[1] = A[0]+ j (-1) A[1] */ - /* Calculate Complex Conjugate and then store the results in the destination buffer. */ - /* read real input samples */ - inR1 = pSrc[0]; - /* store real samples to destination */ - pDst[0] = inR1; - inR2 = pSrc[2]; - pDst[2] = inR2; - inR3 = pSrc[4]; - pDst[4] = inR3; - inR4 = pSrc[6]; - pDst[6] = inR4; - - /* read imaginary input samples */ - inI1 = pSrc[1]; - inI2 = pSrc[3]; - - /* conjugate input */ - inI1 = -inI1; - - /* read imaginary input samples */ - inI3 = pSrc[5]; - - /* conjugate input */ - inI2 = -inI2; - - /* read imaginary input samples */ - inI4 = pSrc[7]; - - /* conjugate input */ - inI3 = -inI3; - - /* store imaginary samples to destination */ - pDst[1] = inI1; - pDst[3] = inI2; - - /* conjugate input */ - inI4 = -inI4; - - /* store imaginary samples to destination */ - pDst[5] = inI3; - - /* increment source pointer by 8 to process next sampels */ - pSrc += 8u; - - /* store imaginary sample to destination */ - pDst[7] = inI4; - - /* increment destination pointer by 8 to store next samples */ - pDst += 8u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - blkCnt = numSamples; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* realOut + j (imagOut) = realIn + j (-1) imagIn */ - /* Calculate Complex Conjugate and then store the results in the destination buffer. */ - *pDst++ = *pSrc++; - *pDst++ = -*pSrc++; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of cmplx_conj group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_conj_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,161 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_conj_q15.c -* -* Description: Q15 complex conjugate. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @addtogroup cmplx_conj - * @{ - */ - -/** - * @brief Q15 complex conjugate. - * @param *pSrc points to the input vector - * @param *pDst points to the output vector - * @param numSamples number of complex samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. - */ - -void arm_cmplx_conj_q15( - q15_t * pSrc, - q15_t * pDst, - uint32_t numSamples) -{ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - uint32_t blkCnt; /* loop counter */ - q31_t in1, in2, in3, in4; - q31_t zero = 0; - - /*loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C[0]+jC[1] = A[0]+ j (-1) A[1] */ - /* Calculate Complex Conjugate and then store the results in the destination buffer. */ - in1 = *__SIMD32(pSrc)++; - in2 = *__SIMD32(pSrc)++; - in3 = *__SIMD32(pSrc)++; - in4 = *__SIMD32(pSrc)++; - -#ifndef ARM_MATH_BIG_ENDIAN - - in1 = __QASX(zero, in1); - in2 = __QASX(zero, in2); - in3 = __QASX(zero, in3); - in4 = __QASX(zero, in4); - -#else - - in1 = __QSAX(zero, in1); - in2 = __QSAX(zero, in2); - in3 = __QSAX(zero, in3); - in4 = __QSAX(zero, in4); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - in1 = ((uint32_t) in1 >> 16) | ((uint32_t) in1 << 16); - in2 = ((uint32_t) in2 >> 16) | ((uint32_t) in2 << 16); - in3 = ((uint32_t) in3 >> 16) | ((uint32_t) in3 << 16); - in4 = ((uint32_t) in4 >> 16) | ((uint32_t) in4 << 16); - - *__SIMD32(pDst)++ = in1; - *__SIMD32(pDst)++ = in2; - *__SIMD32(pDst)++ = in3; - *__SIMD32(pDst)++ = in4; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - - while(blkCnt > 0u) - { - /* C[0]+jC[1] = A[0]+ j (-1) A[1] */ - /* Calculate Complex Conjugate and then store the results in the destination buffer. */ - *pDst++ = *pSrc++; - *pDst++ = __SSAT(-*pSrc++, 16); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - q15_t in; - - /* Run the below code for Cortex-M0 */ - - while(numSamples > 0u) - { - /* realOut + j (imagOut) = realIn+ j (-1) imagIn */ - /* Calculate Complex Conjugate and then store the results in the destination buffer. */ - *pDst++ = *pSrc++; - in = *pSrc++; - *pDst++ = (in == (q15_t) 0x8000) ? 0x7fff : -in; - - /* Decrement the loop counter */ - numSamples--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of cmplx_conj group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_conj_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,180 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_conj_q31.c -* -* Description: Q31 complex conjugate. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @addtogroup cmplx_conj - * @{ - */ - -/** - * @brief Q31 complex conjugate. - * @param *pSrc points to the input vector - * @param *pDst points to the output vector - * @param numSamples number of complex samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. - */ - -void arm_cmplx_conj_q31( - q31_t * pSrc, - q31_t * pDst, - uint32_t numSamples) -{ - uint32_t blkCnt; /* loop counter */ - q31_t in; /* Input value */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t inR1, inR2, inR3, inR4; /* Temporary real variables */ - q31_t inI1, inI2, inI3, inI4; /* Temporary imaginary variables */ - - /*loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C[0]+jC[1] = A[0]+ j (-1) A[1] */ - /* Calculate Complex Conjugate and then store the results in the destination buffer. */ - /* Saturated to 0x7fffffff if the input is -1(0x80000000) */ - /* read real input sample */ - inR1 = pSrc[0]; - /* store real input sample */ - pDst[0] = inR1; - - /* read imaginary input sample */ - inI1 = pSrc[1]; - - /* read real input sample */ - inR2 = pSrc[2]; - /* store real input sample */ - pDst[2] = inR2; - - /* read imaginary input sample */ - inI2 = pSrc[3]; - - /* negate imaginary input sample */ - inI1 = __QSUB(0, inI1); - - /* read real input sample */ - inR3 = pSrc[4]; - /* store real input sample */ - pDst[4] = inR3; - - /* read imaginary input sample */ - inI3 = pSrc[5]; - - /* negate imaginary input sample */ - inI2 = __QSUB(0, inI2); - - /* read real input sample */ - inR4 = pSrc[6]; - /* store real input sample */ - pDst[6] = inR4; - - /* negate imaginary input sample */ - inI3 = __QSUB(0, inI3); - - /* store imaginary input sample */ - inI4 = pSrc[7]; - - /* store imaginary input samples */ - pDst[1] = inI1; - - /* negate imaginary input sample */ - inI4 = __QSUB(0, inI4); - - /* store imaginary input samples */ - pDst[3] = inI2; - - /* increment source pointer by 8 to proecess next samples */ - pSrc += 8u; - - /* store imaginary input samples */ - pDst[5] = inI3; - pDst[7] = inI4; - - /* increment destination pointer by 8 to process next samples */ - pDst += 8u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - blkCnt = numSamples; - - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C[0]+jC[1] = A[0]+ j (-1) A[1] */ - /* Calculate Complex Conjugate and then store the results in the destination buffer. */ - /* Saturated to 0x7fffffff if the input is -1(0x80000000) */ - *pDst++ = *pSrc++; - in = *pSrc++; - *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of cmplx_conj group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,168 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_dot_prod_f32.c -* -* Description: Floating-point complex dot product -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @defgroup cmplx_dot_prod Complex Dot Product - * - * Computes the dot product of two complex vectors. - * The vectors are multiplied element-by-element and then summed. - * - * The <code>pSrcA</code> points to the first complex input vector and - * <code>pSrcB</code> points to the second complex input vector. - * <code>numSamples</code> specifies the number of complex samples - * and the data in each array is stored in an interleaved fashion - * (real, imag, real, imag, ...). - * Each array has a total of <code>2*numSamples</code> values. - * - * The underlying algorithm is used: - * <pre> - * realResult=0; - * imagResult=0; - * for(n=0; n<numSamples; n++) { - * realResult += pSrcA[(2*n)+0]*pSrcB[(2*n)+0] - pSrcA[(2*n)+1]*pSrcB[(2*n)+1]; - * imagResult += pSrcA[(2*n)+0]*pSrcB[(2*n)+1] + pSrcA[(2*n)+1]*pSrcB[(2*n)+0]; - * } - * </pre> - * - * There are separate functions for floating-point, Q15, and Q31 data types. - */ - -/** - * @addtogroup cmplx_dot_prod - * @{ - */ - -/** - * @brief Floating-point complex dot product - * @param *pSrcA points to the first input vector - * @param *pSrcB points to the second input vector - * @param numSamples number of complex samples in each vector - * @param *realResult real part of the result returned here - * @param *imagResult imaginary part of the result returned here - * @return none. - */ - -void arm_cmplx_dot_prod_f32( - float32_t * pSrcA, - float32_t * pSrcB, - uint32_t numSamples, - float32_t * realResult, - float32_t * imagResult) -{ - float32_t real_sum = 0.0f, imag_sum = 0.0f; /* Temporary result storage */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - uint32_t blkCnt; /* loop counter */ - - /*loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */ - real_sum += (*pSrcA++) * (*pSrcB++); - /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */ - imag_sum += (*pSrcA++) * (*pSrcB++); - - real_sum += (*pSrcA++) * (*pSrcB++); - imag_sum += (*pSrcA++) * (*pSrcB++); - - real_sum += (*pSrcA++) * (*pSrcB++); - imag_sum += (*pSrcA++) * (*pSrcB++); - - real_sum += (*pSrcA++) * (*pSrcB++); - imag_sum += (*pSrcA++) * (*pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - - while(blkCnt > 0u) - { - /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */ - real_sum += (*pSrcA++) * (*pSrcB++); - /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */ - imag_sum += (*pSrcA++) * (*pSrcB++); - - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - while(numSamples > 0u) - { - /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */ - real_sum += (*pSrcA++) * (*pSrcB++); - /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */ - imag_sum += (*pSrcA++) * (*pSrcB++); - - - /* Decrement the loop counter */ - numSamples--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /* Store the real and imaginary results in the destination buffers */ - *realResult = real_sum; - *imagResult = imag_sum; -} - -/** - * @} end of cmplx_dot_prod group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,152 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_dot_prod_q15.c -* -* Description: Processing function for the Q15 Complex Dot product -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @addtogroup cmplx_dot_prod - * @{ - */ - -/** - * @brief Q15 complex dot product - * @param *pSrcA points to the first input vector - * @param *pSrcB points to the second input vector - * @param numSamples number of complex samples in each vector - * @param *realResult real part of the result returned here - * @param *imagResult imaginary part of the result returned here - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using an internal 64-bit accumulator. - * The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result. - * These are accumulated in a 64-bit accumulator with 34.30 precision. - * As a final step, the accumulators are converted to 8.24 format. - * The return results <code>realResult</code> and <code>imagResult</code> are in 8.24 format. - */ - -void arm_cmplx_dot_prod_q15( - q15_t * pSrcA, - q15_t * pSrcB, - uint32_t numSamples, - q31_t * realResult, - q31_t * imagResult) -{ - q63_t real_sum = 0, imag_sum = 0; /* Temporary result storage */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - uint32_t blkCnt; /* loop counter */ - - - /*loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */ - real_sum += ((q31_t) * pSrcA++ * *pSrcB++); - - /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */ - imag_sum += ((q31_t) * pSrcA++ * *pSrcB++); - - real_sum += ((q31_t) * pSrcA++ * *pSrcB++); - imag_sum += ((q31_t) * pSrcA++ * *pSrcB++); - - real_sum += ((q31_t) * pSrcA++ * *pSrcB++); - imag_sum += ((q31_t) * pSrcA++ * *pSrcB++); - - real_sum += ((q31_t) * pSrcA++ * *pSrcB++); - imag_sum += ((q31_t) * pSrcA++ * *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - - while(blkCnt > 0u) - { - /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */ - real_sum += ((q31_t) * pSrcA++ * *pSrcB++); - /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */ - imag_sum += ((q31_t) * pSrcA++ * *pSrcB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - while(numSamples > 0u) - { - /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */ - real_sum += ((q31_t) * pSrcA++ * *pSrcB++); - /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */ - imag_sum += ((q31_t) * pSrcA++ * *pSrcB++); - - /* Decrement the loop counter */ - numSamples--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /* Store the real and imaginary results in 8.24 format */ - /* Convert real data in 34.30 to 8.24 by 6 right shifts */ - *realResult = (q31_t) (real_sum) >> 6; - /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */ - *imagResult = (q31_t) (imag_sum) >> 6; -} - -/** - * @} end of cmplx_dot_prod group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,153 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_dot_prod_q31.c -* -* Description: Q31 complex dot product -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @addtogroup cmplx_dot_prod - * @{ - */ - -/** - * @brief Q31 complex dot product - * @param *pSrcA points to the first input vector - * @param *pSrcB points to the second input vector - * @param numSamples number of complex samples in each vector - * @param *realResult real part of the result returned here - * @param *imagResult imaginary part of the result returned here - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using an internal 64-bit accumulator. - * The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format. - * The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits. - * Additions are nonsaturating and no overflow will occur as long as <code>numSamples</code> is less than 32768. - * The return results <code>realResult</code> and <code>imagResult</code> are in 16.48 format. - * Input down scaling is not required. - */ - -void arm_cmplx_dot_prod_q31( - q31_t * pSrcA, - q31_t * pSrcB, - uint32_t numSamples, - q63_t * realResult, - q63_t * imagResult) -{ - q63_t real_sum = 0, imag_sum = 0; /* Temporary result storage */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - uint32_t blkCnt; /* loop counter */ - - - /*loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */ - /* Convert real data in 2.62 to 16.48 by 14 right shifts */ - real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14; - /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */ - /* Convert imag data in 2.62 to 16.48 by 14 right shifts */ - imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14; - - real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14; - imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14; - - real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14; - imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14; - - real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14; - imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14; - - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - - while(blkCnt > 0u) - { - /* CReal = A[0]* B[0] + A[2]* B[2] + A[4]* B[4] + .....+ A[numSamples-2]* B[numSamples-2] */ - real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14; - /* CImag = A[1]* B[1] + A[3]* B[3] + A[5]* B[5] + .....+ A[numSamples-1]* B[numSamples-1] */ - imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14; - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - while(numSamples > 0u) - { - /* outReal = realA[0]* realB[0] + realA[2]* realB[2] + realA[4]* realB[4] + .....+ realA[numSamples-2]* realB[numSamples-2] */ - real_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14; - /* outImag = imagA[1]* imagB[1] + imagA[3]* imagB[3] + imagA[5]* imagB[5] + .....+ imagA[numSamples-1]* imagB[numSamples-1] */ - imag_sum += (q63_t) * pSrcA++ * (*pSrcB++) >> 14; - - /* Decrement the loop counter */ - numSamples--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /* Store the real and imaginary results in 16.48 format */ - *realResult = real_sum; - *imagResult = imag_sum; -} - -/** - * @} end of cmplx_dot_prod group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,165 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_mag_f32.c -* -* Description: Floating-point complex magnitude. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @defgroup cmplx_mag Complex Magnitude - * - * Computes the magnitude of the elements of a complex data vector. - * - * The <code>pSrc</code> points to the source data and - * <code>pDst</code> points to the where the result should be written. - * <code>numSamples</code> specifies the number of complex samples - * in the input array and the data is stored in an interleaved fashion - * (real, imag, real, imag, ...). - * The input array has a total of <code>2*numSamples</code> values; - * the output array has a total of <code>numSamples</code> values. - * The underlying algorithm is used: - * - * <pre> - * for(n=0; n<numSamples; n++) { - * pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2); - * } - * </pre> - * - * There are separate functions for floating-point, Q15, and Q31 data types. - */ - -/** - * @addtogroup cmplx_mag - * @{ - */ -/** - * @brief Floating-point complex magnitude. - * @param[in] *pSrc points to complex input buffer - * @param[out] *pDst points to real output buffer - * @param[in] numSamples number of complex samples in the input vector - * @return none. - * - */ - - -void arm_cmplx_mag_f32( - float32_t * pSrc, - float32_t * pDst, - uint32_t numSamples) -{ - float32_t realIn, imagIn; /* Temporary variables to hold input values */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - uint32_t blkCnt; /* loop counter */ - - /*loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - - /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ - realIn = *pSrc++; - imagIn = *pSrc++; - /* store the result in the destination buffer. */ - arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++); - - realIn = *pSrc++; - imagIn = *pSrc++; - arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++); - - realIn = *pSrc++; - imagIn = *pSrc++; - arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++); - - realIn = *pSrc++; - imagIn = *pSrc++; - arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++); - - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - - while(blkCnt > 0u) - { - /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ - realIn = *pSrc++; - imagIn = *pSrc++; - /* store the result in the destination buffer. */ - arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - while(numSamples > 0u) - { - /* out = sqrt((real * real) + (imag * imag)) */ - realIn = *pSrc++; - imagIn = *pSrc++; - /* store the result in the destination buffer. */ - arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++); - - /* Decrement the loop counter */ - numSamples--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of cmplx_mag group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,153 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_mag_q15.c -* -* Description: Q15 complex magnitude. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @addtogroup cmplx_mag - * @{ - */ - - -/** - * @brief Q15 complex magnitude - * @param *pSrc points to the complex input vector - * @param *pDst points to the real output vector - * @param numSamples number of complex samples in the input vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format. - */ - -void arm_cmplx_mag_q15( - q15_t * pSrc, - q15_t * pDst, - uint32_t numSamples) -{ - q31_t acc0, acc1; /* Accumulators */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - uint32_t blkCnt; /* loop counter */ - q31_t in1, in2, in3, in4; - q31_t acc2, acc3; - - - /*loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - - /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ - in1 = *__SIMD32(pSrc)++; - in2 = *__SIMD32(pSrc)++; - in3 = *__SIMD32(pSrc)++; - in4 = *__SIMD32(pSrc)++; - - acc0 = __SMUAD(in1, in1); - acc1 = __SMUAD(in2, in2); - acc2 = __SMUAD(in3, in3); - acc3 = __SMUAD(in4, in4); - - /* store the result in 2.14 format in the destination buffer. */ - arm_sqrt_q15((q15_t) ((acc0) >> 17), pDst++); - arm_sqrt_q15((q15_t) ((acc1) >> 17), pDst++); - arm_sqrt_q15((q15_t) ((acc2) >> 17), pDst++); - arm_sqrt_q15((q15_t) ((acc3) >> 17), pDst++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - - while(blkCnt > 0u) - { - /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ - in1 = *__SIMD32(pSrc)++; - acc0 = __SMUAD(in1, in1); - - /* store the result in 2.14 format in the destination buffer. */ - arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - q15_t real, imag; /* Temporary variables to hold input values */ - - while(numSamples > 0u) - { - /* out = sqrt(real * real + imag * imag) */ - real = *pSrc++; - imag = *pSrc++; - - acc0 = (real * real); - acc1 = (imag * imag); - - /* store the result in 2.14 format in the destination buffer. */ - arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++); - - /* Decrement the loop counter */ - numSamples--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of cmplx_mag group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,185 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_mag_q31.c -* -* Description: Q31 complex magnitude -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @addtogroup cmplx_mag - * @{ - */ - -/** - * @brief Q31 complex magnitude - * @param *pSrc points to the complex input vector - * @param *pDst points to the real output vector - * @param numSamples number of complex samples in the input vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format. - * Input down scaling is not required. - */ - -void arm_cmplx_mag_q31( - q31_t * pSrc, - q31_t * pDst, - uint32_t numSamples) -{ - q31_t real, imag; /* Temporary variables to hold input values */ - q31_t acc0, acc1; /* Accumulators */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t real1, real2, imag1, imag2; /* Temporary variables to hold input values */ - q31_t out1, out2, out3, out4; /* Accumulators */ - q63_t mul1, mul2, mul3, mul4; /* Temporary variables */ - - - /*loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* read complex input from source buffer */ - real1 = pSrc[0]; - imag1 = pSrc[1]; - real2 = pSrc[2]; - imag2 = pSrc[3]; - - /* calculate power of input values */ - mul1 = (q63_t) real1 *real1; - mul2 = (q63_t) imag1 *imag1; - mul3 = (q63_t) real2 *real2; - mul4 = (q63_t) imag2 *imag2; - - /* get the result to 3.29 format */ - out1 = (q31_t) (mul1 >> 33); - out2 = (q31_t) (mul2 >> 33); - out3 = (q31_t) (mul3 >> 33); - out4 = (q31_t) (mul4 >> 33); - - /* add real and imaginary accumulators */ - out1 = out1 + out2; - out3 = out3 + out4; - - /* read complex input from source buffer */ - real1 = pSrc[4]; - imag1 = pSrc[5]; - real2 = pSrc[6]; - imag2 = pSrc[7]; - - /* calculate square root */ - arm_sqrt_q31(out1, &pDst[0]); - - /* calculate power of input values */ - mul1 = (q63_t) real1 *real1; - - /* calculate square root */ - arm_sqrt_q31(out3, &pDst[1]); - - /* calculate power of input values */ - mul2 = (q63_t) imag1 *imag1; - mul3 = (q63_t) real2 *real2; - mul4 = (q63_t) imag2 *imag2; - - /* get the result to 3.29 format */ - out1 = (q31_t) (mul1 >> 33); - out2 = (q31_t) (mul2 >> 33); - out3 = (q31_t) (mul3 >> 33); - out4 = (q31_t) (mul4 >> 33); - - /* add real and imaginary accumulators */ - out1 = out1 + out2; - out3 = out3 + out4; - - /* calculate square root */ - arm_sqrt_q31(out1, &pDst[2]); - - /* increment destination by 8 to process next samples */ - pSrc += 8u; - - /* calculate square root */ - arm_sqrt_q31(out3, &pDst[3]); - - /* increment destination by 4 to process next samples */ - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - blkCnt = numSamples; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */ - real = *pSrc++; - imag = *pSrc++; - acc0 = (q31_t) (((q63_t) real * real) >> 33); - acc1 = (q31_t) (((q63_t) imag * imag) >> 33); - /* store the result in 2.30 format in the destination buffer. */ - arm_sqrt_q31(acc0 + acc1, pDst++); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of cmplx_mag group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,215 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_mag_squared_f32.c -* -* Description: Floating-point complex magnitude squared. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @defgroup cmplx_mag_squared Complex Magnitude Squared - * - * Computes the magnitude squared of the elements of a complex data vector. - * - * The <code>pSrc</code> points to the source data and - * <code>pDst</code> points to the where the result should be written. - * <code>numSamples</code> specifies the number of complex samples - * in the input array and the data is stored in an interleaved fashion - * (real, imag, real, imag, ...). - * The input array has a total of <code>2*numSamples</code> values; - * the output array has a total of <code>numSamples</code> values. - * - * The underlying algorithm is used: - * - * <pre> - * for(n=0; n<numSamples; n++) { - * pDst[n] = pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2; - * } - * </pre> - * - * There are separate functions for floating-point, Q15, and Q31 data types. - */ - -/** - * @addtogroup cmplx_mag_squared - * @{ - */ - - -/** - * @brief Floating-point complex magnitude squared - * @param[in] *pSrc points to the complex input vector - * @param[out] *pDst points to the real output vector - * @param[in] numSamples number of complex samples in the input vector - * @return none. - */ - -void arm_cmplx_mag_squared_f32( - float32_t * pSrc, - float32_t * pDst, - uint32_t numSamples) -{ - float32_t real, imag; /* Temporary variables to store real and imaginary values */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - float32_t real1, real2, real3, real4; /* Temporary variables to hold real values */ - float32_t imag1, imag2, imag3, imag4; /* Temporary variables to hold imaginary values */ - float32_t mul1, mul2, mul3, mul4; /* Temporary variables */ - float32_t mul5, mul6, mul7, mul8; /* Temporary variables */ - float32_t out1, out2, out3, out4; /* Temporary variables to hold output values */ - - /*loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ - /* read real input sample from source buffer */ - real1 = pSrc[0]; - /* read imaginary input sample from source buffer */ - imag1 = pSrc[1]; - - /* calculate power of real value */ - mul1 = real1 * real1; - - /* read real input sample from source buffer */ - real2 = pSrc[2]; - - /* calculate power of imaginary value */ - mul2 = imag1 * imag1; - - /* read imaginary input sample from source buffer */ - imag2 = pSrc[3]; - - /* calculate power of real value */ - mul3 = real2 * real2; - - /* read real input sample from source buffer */ - real3 = pSrc[4]; - - /* calculate power of imaginary value */ - mul4 = imag2 * imag2; - - /* read imaginary input sample from source buffer */ - imag3 = pSrc[5]; - - /* calculate power of real value */ - mul5 = real3 * real3; - /* calculate power of imaginary value */ - mul6 = imag3 * imag3; - - /* read real input sample from source buffer */ - real4 = pSrc[6]; - - /* accumulate real and imaginary powers */ - out1 = mul1 + mul2; - - /* read imaginary input sample from source buffer */ - imag4 = pSrc[7]; - - /* accumulate real and imaginary powers */ - out2 = mul3 + mul4; - - /* calculate power of real value */ - mul7 = real4 * real4; - /* calculate power of imaginary value */ - mul8 = imag4 * imag4; - - /* store output to destination */ - pDst[0] = out1; - - /* accumulate real and imaginary powers */ - out3 = mul5 + mul6; - - /* store output to destination */ - pDst[1] = out2; - - /* accumulate real and imaginary powers */ - out4 = mul7 + mul8; - - /* store output to destination */ - pDst[2] = out3; - - /* increment destination pointer by 8 to process next samples */ - pSrc += 8u; - - /* store output to destination */ - pDst[3] = out4; - - /* increment destination pointer by 4 to process next samples */ - pDst += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - blkCnt = numSamples; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ - real = *pSrc++; - imag = *pSrc++; - - /* out = (real * real) + (imag * imag) */ - /* store the result in the destination buffer. */ - *pDst++ = (real * real) + (imag * imag); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of cmplx_mag_squared group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,148 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_mag_squared_q15.c -* -* Description: Q15 complex magnitude squared. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @addtogroup cmplx_mag_squared - * @{ - */ - -/** - * @brief Q15 complex magnitude squared - * @param *pSrc points to the complex input vector - * @param *pDst points to the real output vector - * @param numSamples number of complex samples in the input vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format. - */ - -void arm_cmplx_mag_squared_q15( - q15_t * pSrc, - q15_t * pDst, - uint32_t numSamples) -{ - q31_t acc0, acc1; /* Accumulators */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - uint32_t blkCnt; /* loop counter */ - q31_t in1, in2, in3, in4; - q31_t acc2, acc3; - - /*loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ - in1 = *__SIMD32(pSrc)++; - in2 = *__SIMD32(pSrc)++; - in3 = *__SIMD32(pSrc)++; - in4 = *__SIMD32(pSrc)++; - - acc0 = __SMUAD(in1, in1); - acc1 = __SMUAD(in2, in2); - acc2 = __SMUAD(in3, in3); - acc3 = __SMUAD(in4, in4); - - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = (q15_t) (acc0 >> 17); - *pDst++ = (q15_t) (acc1 >> 17); - *pDst++ = (q15_t) (acc2 >> 17); - *pDst++ = (q15_t) (acc3 >> 17); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - - while(blkCnt > 0u) - { - /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ - in1 = *__SIMD32(pSrc)++; - acc0 = __SMUAD(in1, in1); - - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = (q15_t) (acc0 >> 17); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - q15_t real, imag; /* Temporary variables to store real and imaginary values */ - - while(numSamples > 0u) - { - /* out = ((real * real) + (imag * imag)) */ - real = *pSrc++; - imag = *pSrc++; - acc0 = (real * real); - acc1 = (imag * imag); - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17); - - /* Decrement the loop counter */ - numSamples--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of cmplx_mag_squared group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,161 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_mag_squared_q31.c -* -* Description: Q31 complex magnitude squared. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @addtogroup cmplx_mag_squared - * @{ - */ - - -/** - * @brief Q31 complex magnitude squared - * @param *pSrc points to the complex input vector - * @param *pDst points to the real output vector - * @param numSamples number of complex samples in the input vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format. - * Input down scaling is not required. - */ - -void arm_cmplx_mag_squared_q31( - q31_t * pSrc, - q31_t * pDst, - uint32_t numSamples) -{ - q31_t real, imag; /* Temporary variables to store real and imaginary values */ - q31_t acc0, acc1; /* Accumulators */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - uint32_t blkCnt; /* loop counter */ - - /* loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ - real = *pSrc++; - imag = *pSrc++; - acc0 = (q31_t) (((q63_t) real * real) >> 33); - acc1 = (q31_t) (((q63_t) imag * imag) >> 33); - /* store the result in 3.29 format in the destination buffer. */ - *pDst++ = acc0 + acc1; - - real = *pSrc++; - imag = *pSrc++; - acc0 = (q31_t) (((q63_t) real * real) >> 33); - acc1 = (q31_t) (((q63_t) imag * imag) >> 33); - /* store the result in 3.29 format in the destination buffer. */ - *pDst++ = acc0 + acc1; - - real = *pSrc++; - imag = *pSrc++; - acc0 = (q31_t) (((q63_t) real * real) >> 33); - acc1 = (q31_t) (((q63_t) imag * imag) >> 33); - /* store the result in 3.29 format in the destination buffer. */ - *pDst++ = acc0 + acc1; - - real = *pSrc++; - imag = *pSrc++; - acc0 = (q31_t) (((q63_t) real * real) >> 33); - acc1 = (q31_t) (((q63_t) imag * imag) >> 33); - /* store the result in 3.29 format in the destination buffer. */ - *pDst++ = acc0 + acc1; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - - while(blkCnt > 0u) - { - /* C[0] = (A[0] * A[0] + A[1] * A[1]) */ - real = *pSrc++; - imag = *pSrc++; - acc0 = (q31_t) (((q63_t) real * real) >> 33); - acc1 = (q31_t) (((q63_t) imag * imag) >> 33); - /* store the result in 3.29 format in the destination buffer. */ - *pDst++ = acc0 + acc1; - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - while(numSamples > 0u) - { - /* out = ((real * real) + (imag * imag)) */ - real = *pSrc++; - imag = *pSrc++; - acc0 = (q31_t) (((q63_t) real * real) >> 33); - acc1 = (q31_t) (((q63_t) imag * imag) >> 33); - /* store the result in 3.29 format in the destination buffer. */ - *pDst++ = acc0 + acc1; - - /* Decrement the loop counter */ - numSamples--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of cmplx_mag_squared group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,207 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_mult_cmplx_f32.c -* -* Description: Floating-point complex-by-complex multiplication -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication - * - * Multiplies a complex vector by another complex vector and generates a complex result. - * The data in the complex arrays is stored in an interleaved fashion - * (real, imag, real, imag, ...). - * The parameter <code>numSamples</code> represents the number of complex - * samples processed. The complex arrays have a total of <code>2*numSamples</code> - * real values. - * - * The underlying algorithm is used: - * - * <pre> - * for(n=0; n<numSamples; n++) { - * pDst[(2*n)+0] = pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1]; - * pDst[(2*n)+1] = pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0]; - * } - * </pre> - * - * There are separate functions for floating-point, Q15, and Q31 data types. - */ - -/** - * @addtogroup CmplxByCmplxMult - * @{ - */ - - -/** - * @brief Floating-point complex-by-complex multiplication - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] numSamples number of complex samples in each vector - * @return none. - */ - -void arm_cmplx_mult_cmplx_f32( - float32_t * pSrcA, - float32_t * pSrcB, - float32_t * pDst, - uint32_t numSamples) -{ - float32_t a1, b1, c1, d1; /* Temporary variables to store real and imaginary values */ - uint32_t blkCnt; /* loop counters */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t a2, b2, c2, d2; /* Temporary variables to store real and imaginary values */ - float32_t acc1, acc2, acc3, acc4; - - - /* loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */ - /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */ - a1 = *pSrcA; /* A[2 * i] */ - c1 = *pSrcB; /* B[2 * i] */ - - b1 = *(pSrcA + 1); /* A[2 * i + 1] */ - acc1 = a1 * c1; /* acc1 = A[2 * i] * B[2 * i] */ - - a2 = *(pSrcA + 2); /* A[2 * i + 2] */ - acc2 = (b1 * c1); /* acc2 = A[2 * i + 1] * B[2 * i] */ - - d1 = *(pSrcB + 1); /* B[2 * i + 1] */ - c2 = *(pSrcB + 2); /* B[2 * i + 2] */ - acc1 -= b1 * d1; /* acc1 = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1] */ - - d2 = *(pSrcB + 3); /* B[2 * i + 3] */ - acc3 = a2 * c2; /* acc3 = A[2 * i + 2] * B[2 * i + 2] */ - - b2 = *(pSrcA + 3); /* A[2 * i + 3] */ - acc2 += (a1 * d1); /* acc2 = A[2 * i + 1] * B[2 * i] + A[2 * i] * B[2 * i + 1] */ - - a1 = *(pSrcA + 4); /* A[2 * i + 4] */ - acc4 = (a2 * d2); /* acc4 = A[2 * i + 2] * B[2 * i + 3] */ - - c1 = *(pSrcB + 4); /* B[2 * i + 4] */ - acc3 -= (b2 * d2); /* acc3 = A[2 * i + 2] * B[2 * i + 2] - A[2 * i + 3] * B[2 * i + 3] */ - *pDst = acc1; /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1] */ - - b1 = *(pSrcA + 5); /* A[2 * i + 5] */ - acc4 += b2 * c2; /* acc4 = A[2 * i + 2] * B[2 * i + 3] + A[2 * i + 3] * B[2 * i + 2] */ - - *(pDst + 1) = acc2; /* C[2 * i + 1] = A[2 * i + 1] * B[2 * i] + A[2 * i] * B[2 * i + 1] */ - acc1 = (a1 * c1); - - d1 = *(pSrcB + 5); - acc2 = (b1 * c1); - - *(pDst + 2) = acc3; - *(pDst + 3) = acc4; - - a2 = *(pSrcA + 6); - acc1 -= (b1 * d1); - - c2 = *(pSrcB + 6); - acc2 += (a1 * d1); - - b2 = *(pSrcA + 7); - acc3 = (a2 * c2); - - d2 = *(pSrcB + 7); - acc4 = (b2 * c2); - - *(pDst + 4) = acc1; - pSrcA += 8u; - - acc3 -= (b2 * d2); - acc4 += (a2 * d2); - - *(pDst + 5) = acc2; - pSrcB += 8u; - - *(pDst + 6) = acc3; - *(pDst + 7) = acc4; - - pDst += 8u; - - /* Decrement the numSamples loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - blkCnt = numSamples; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */ - /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */ - a1 = *pSrcA++; - b1 = *pSrcA++; - c1 = *pSrcB++; - d1 = *pSrcB++; - - /* store the result in the destination buffer. */ - *pDst++ = (a1 * c1) - (b1 * d1); - *pDst++ = (a1 * d1) + (b1 * c1); - - /* Decrement the numSamples loop counter */ - blkCnt--; - } -} - -/** - * @} end of CmplxByCmplxMult group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,193 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_mult_cmplx_q15.c -* -* Description: Q15 complex-by-complex multiplication -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @addtogroup CmplxByCmplxMult - * @{ - */ - -/** - * @brief Q15 complex-by-complex multiplication - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] numSamples number of complex samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format. - */ - -void arm_cmplx_mult_cmplx_q15( - q15_t * pSrcA, - q15_t * pSrcB, - q15_t * pDst, - uint32_t numSamples) -{ - q15_t a, b, c, d; /* Temporary variables to store real and imaginary values */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - uint32_t blkCnt; /* loop counters */ - - /* loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */ - /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */ - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = - (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17); - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = - (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17); - - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = - (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17); - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = - (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17); - - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = - (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17); - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = - (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17); - - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = - (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17); - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = - (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */ - /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */ - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = - (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17); - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = - (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - while(numSamples > 0u) - { - /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */ - /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */ - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = - (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17); - /* store the result in 3.13 format in the destination buffer. */ - *pDst++ = - (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17); - - /* Decrement the blockSize loop counter */ - numSamples--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of CmplxByCmplxMult group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,326 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_mult_cmplx_q31.c -* -* Description: Q31 complex-by-complex multiplication -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @addtogroup CmplxByCmplxMult - * @{ - */ - - -/** - * @brief Q31 complex-by-complex multiplication - * @param[in] *pSrcA points to the first input vector - * @param[in] *pSrcB points to the second input vector - * @param[out] *pDst points to the output vector - * @param[in] numSamples number of complex samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format. - * Input down scaling is not required. - */ - -void arm_cmplx_mult_cmplx_q31( - q31_t * pSrcA, - q31_t * pSrcB, - q31_t * pDst, - uint32_t numSamples) -{ - q31_t a, b, c, d; /* Temporary variables to store real and imaginary values */ - uint32_t blkCnt; /* loop counters */ - q31_t mul1, mul2, mul3, mul4; - q31_t out1, out2; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */ - /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */ - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - mul1 = (q31_t) (((q63_t) a * c) >> 32); - mul2 = (q31_t) (((q63_t) b * d) >> 32); - mul3 = (q31_t) (((q63_t) a * d) >> 32); - mul4 = (q31_t) (((q63_t) b * c) >> 32); - - mul1 = (mul1 >> 1); - mul2 = (mul2 >> 1); - mul3 = (mul3 >> 1); - mul4 = (mul4 >> 1); - - out1 = mul1 - mul2; - out2 = mul3 + mul4; - - /* store the real result in 3.29 format in the destination buffer. */ - *pDst++ = out1; - /* store the imag result in 3.29 format in the destination buffer. */ - *pDst++ = out2; - - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - mul1 = (q31_t) (((q63_t) a * c) >> 32); - mul2 = (q31_t) (((q63_t) b * d) >> 32); - mul3 = (q31_t) (((q63_t) a * d) >> 32); - mul4 = (q31_t) (((q63_t) b * c) >> 32); - - mul1 = (mul1 >> 1); - mul2 = (mul2 >> 1); - mul3 = (mul3 >> 1); - mul4 = (mul4 >> 1); - - out1 = mul1 - mul2; - out2 = mul3 + mul4; - - /* store the real result in 3.29 format in the destination buffer. */ - *pDst++ = out1; - /* store the imag result in 3.29 format in the destination buffer. */ - *pDst++ = out2; - - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - mul1 = (q31_t) (((q63_t) a * c) >> 32); - mul2 = (q31_t) (((q63_t) b * d) >> 32); - mul3 = (q31_t) (((q63_t) a * d) >> 32); - mul4 = (q31_t) (((q63_t) b * c) >> 32); - - mul1 = (mul1 >> 1); - mul2 = (mul2 >> 1); - mul3 = (mul3 >> 1); - mul4 = (mul4 >> 1); - - out1 = mul1 - mul2; - out2 = mul3 + mul4; - - /* store the real result in 3.29 format in the destination buffer. */ - *pDst++ = out1; - /* store the imag result in 3.29 format in the destination buffer. */ - *pDst++ = out2; - - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - mul1 = (q31_t) (((q63_t) a * c) >> 32); - mul2 = (q31_t) (((q63_t) b * d) >> 32); - mul3 = (q31_t) (((q63_t) a * d) >> 32); - mul4 = (q31_t) (((q63_t) b * c) >> 32); - - mul1 = (mul1 >> 1); - mul2 = (mul2 >> 1); - mul3 = (mul3 >> 1); - mul4 = (mul4 >> 1); - - out1 = mul1 - mul2; - out2 = mul3 + mul4; - - /* store the real result in 3.29 format in the destination buffer. */ - *pDst++ = out1; - /* store the imag result in 3.29 format in the destination buffer. */ - *pDst++ = out2; - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */ - /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */ - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - mul1 = (q31_t) (((q63_t) a * c) >> 32); - mul2 = (q31_t) (((q63_t) b * d) >> 32); - mul3 = (q31_t) (((q63_t) a * d) >> 32); - mul4 = (q31_t) (((q63_t) b * c) >> 32); - - mul1 = (mul1 >> 1); - mul2 = (mul2 >> 1); - mul3 = (mul3 >> 1); - mul4 = (mul4 >> 1); - - out1 = mul1 - mul2; - out2 = mul3 + mul4; - - /* store the real result in 3.29 format in the destination buffer. */ - *pDst++ = out1; - /* store the imag result in 3.29 format in the destination buffer. */ - *pDst++ = out2; - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* loop Unrolling */ - blkCnt = numSamples >> 1u; - - /* First part of the processing with loop unrolling. Compute 2 outputs at a time. - ** a second loop below computes the remaining 1 sample. */ - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */ - /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */ - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - mul1 = (q31_t) (((q63_t) a * c) >> 32); - mul2 = (q31_t) (((q63_t) b * d) >> 32); - mul3 = (q31_t) (((q63_t) a * d) >> 32); - mul4 = (q31_t) (((q63_t) b * c) >> 32); - - mul1 = (mul1 >> 1); - mul2 = (mul2 >> 1); - mul3 = (mul3 >> 1); - mul4 = (mul4 >> 1); - - out1 = mul1 - mul2; - out2 = mul3 + mul4; - - /* store the real result in 3.29 format in the destination buffer. */ - *pDst++ = out1; - /* store the imag result in 3.29 format in the destination buffer. */ - *pDst++ = out2; - - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - mul1 = (q31_t) (((q63_t) a * c) >> 32); - mul2 = (q31_t) (((q63_t) b * d) >> 32); - mul3 = (q31_t) (((q63_t) a * d) >> 32); - mul4 = (q31_t) (((q63_t) b * c) >> 32); - - mul1 = (mul1 >> 1); - mul2 = (mul2 >> 1); - mul3 = (mul3 >> 1); - mul4 = (mul4 >> 1); - - out1 = mul1 - mul2; - out2 = mul3 + mul4; - - /* store the real result in 3.29 format in the destination buffer. */ - *pDst++ = out1; - /* store the imag result in 3.29 format in the destination buffer. */ - *pDst++ = out2; - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 2, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x2u; - - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1]. */ - /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i]. */ - a = *pSrcA++; - b = *pSrcA++; - c = *pSrcB++; - d = *pSrcB++; - - mul1 = (q31_t) (((q63_t) a * c) >> 32); - mul2 = (q31_t) (((q63_t) b * d) >> 32); - mul3 = (q31_t) (((q63_t) a * d) >> 32); - mul4 = (q31_t) (((q63_t) b * c) >> 32); - - mul1 = (mul1 >> 1); - mul2 = (mul2 >> 1); - mul3 = (mul3 >> 1); - mul4 = (mul4 >> 1); - - out1 = mul1 - mul2; - out2 = mul3 + mul4; - - /* store the real result in 3.29 format in the destination buffer. */ - *pDst++ = out1; - /* store the imag result in 3.29 format in the destination buffer. */ - *pDst++ = out2; - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of CmplxByCmplxMult group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_real_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,225 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_mult_real_f32.c -* -* Description: Floating-point complex by real multiplication -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @defgroup CmplxByRealMult Complex-by-Real Multiplication - * - * Multiplies a complex vector by a real vector and generates a complex result. - * The data in the complex arrays is stored in an interleaved fashion - * (real, imag, real, imag, ...). - * The parameter <code>numSamples</code> represents the number of complex - * samples processed. The complex arrays have a total of <code>2*numSamples</code> - * real values while the real array has a total of <code>numSamples</code> - * real values. - * - * The underlying algorithm is used: - * - * <pre> - * for(n=0; n<numSamples; n++) { - * pCmplxDst[(2*n)+0] = pSrcCmplx[(2*n)+0] * pSrcReal[n]; - * pCmplxDst[(2*n)+1] = pSrcCmplx[(2*n)+1] * pSrcReal[n]; - * } - * </pre> - * - * There are separate functions for floating-point, Q15, and Q31 data types. - */ - -/** - * @addtogroup CmplxByRealMult - * @{ - */ - - -/** - * @brief Floating-point complex-by-real multiplication - * @param[in] *pSrcCmplx points to the complex input vector - * @param[in] *pSrcReal points to the real input vector - * @param[out] *pCmplxDst points to the complex output vector - * @param[in] numSamples number of samples in each vector - * @return none. - */ - -void arm_cmplx_mult_real_f32( - float32_t * pSrcCmplx, - float32_t * pSrcReal, - float32_t * pCmplxDst, - uint32_t numSamples) -{ - float32_t in; /* Temporary variable to store input value */ - uint32_t blkCnt; /* loop counters */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t inA1, inA2, inA3, inA4; /* Temporary variables to hold input data */ - float32_t inA5, inA6, inA7, inA8; /* Temporary variables to hold input data */ - float32_t inB1, inB2, inB3, inB4; /* Temporary variables to hold input data */ - float32_t out1, out2, out3, out4; /* Temporary variables to hold output data */ - float32_t out5, out6, out7, out8; /* Temporary variables to hold output data */ - - /* loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[i]. */ - /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ - /* read input from complex input buffer */ - inA1 = pSrcCmplx[0]; - inA2 = pSrcCmplx[1]; - /* read input from real input buffer */ - inB1 = pSrcReal[0]; - - /* read input from complex input buffer */ - inA3 = pSrcCmplx[2]; - - /* multiply complex buffer real input with real buffer input */ - out1 = inA1 * inB1; - - /* read input from complex input buffer */ - inA4 = pSrcCmplx[3]; - - /* multiply complex buffer imaginary input with real buffer input */ - out2 = inA2 * inB1; - - /* read input from real input buffer */ - inB2 = pSrcReal[1]; - /* read input from complex input buffer */ - inA5 = pSrcCmplx[4]; - - /* multiply complex buffer real input with real buffer input */ - out3 = inA3 * inB2; - - /* read input from complex input buffer */ - inA6 = pSrcCmplx[5]; - /* read input from real input buffer */ - inB3 = pSrcReal[2]; - - /* multiply complex buffer imaginary input with real buffer input */ - out4 = inA4 * inB2; - - /* read input from complex input buffer */ - inA7 = pSrcCmplx[6]; - - /* multiply complex buffer real input with real buffer input */ - out5 = inA5 * inB3; - - /* read input from complex input buffer */ - inA8 = pSrcCmplx[7]; - - /* multiply complex buffer imaginary input with real buffer input */ - out6 = inA6 * inB3; - - /* read input from real input buffer */ - inB4 = pSrcReal[3]; - - /* store result to destination bufer */ - pCmplxDst[0] = out1; - - /* multiply complex buffer real input with real buffer input */ - out7 = inA7 * inB4; - - /* store result to destination bufer */ - pCmplxDst[1] = out2; - - /* multiply complex buffer imaginary input with real buffer input */ - out8 = inA8 * inB4; - - /* store result to destination bufer */ - pCmplxDst[2] = out3; - pCmplxDst[3] = out4; - pCmplxDst[4] = out5; - - /* incremnet complex input buffer by 8 to process next samples */ - pSrcCmplx += 8u; - - /* store result to destination bufer */ - pCmplxDst[5] = out6; - - /* increment real input buffer by 4 to process next samples */ - pSrcReal += 4u; - - /* store result to destination bufer */ - pCmplxDst[6] = out7; - pCmplxDst[7] = out8; - - /* increment destination buffer by 8 to process next sampels */ - pCmplxDst += 8u; - - /* Decrement the numSamples loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - blkCnt = numSamples; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[i]. */ - /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ - in = *pSrcReal++; - /* store the result in the destination buffer. */ - *pCmplxDst++ = (*pSrcCmplx++) * (in); - *pCmplxDst++ = (*pSrcCmplx++) * (in); - - /* Decrement the numSamples loop counter */ - blkCnt--; - } -} - -/** - * @} end of CmplxByRealMult group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_real_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,203 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_mult_real_q15.c -* -* Description: Q15 complex by real multiplication -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @addtogroup CmplxByRealMult - * @{ - */ - - -/** - * @brief Q15 complex-by-real multiplication - * @param[in] *pSrcCmplx points to the complex input vector - * @param[in] *pSrcReal points to the real input vector - * @param[out] *pCmplxDst points to the complex output vector - * @param[in] numSamples number of samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -void arm_cmplx_mult_real_q15( - q15_t * pSrcCmplx, - q15_t * pSrcReal, - q15_t * pCmplxDst, - uint32_t numSamples) -{ - q15_t in; /* Temporary variable to store input value */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - uint32_t blkCnt; /* loop counters */ - q31_t inA1, inA2; /* Temporary variables to hold input data */ - q31_t inB1; /* Temporary variables to hold input data */ - q15_t out1, out2, out3, out4; /* Temporary variables to hold output data */ - q31_t mul1, mul2, mul3, mul4; /* Temporary variables to hold intermediate data */ - - /* loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[i]. */ - /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ - /* read complex number both real and imaginary from complex input buffer */ - inA1 = *__SIMD32(pSrcCmplx)++; - /* read two real values at a time from real input buffer */ - inB1 = *__SIMD32(pSrcReal)++; - /* read complex number both real and imaginary from complex input buffer */ - inA2 = *__SIMD32(pSrcCmplx)++; - - /* multiply complex number with real numbers */ -#ifndef ARM_MATH_BIG_ENDIAN - - mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1)); - mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1)); - mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16)); - mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16)); - -#else - - mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16)); - mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16)); - mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1); - mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - /* saturate the result */ - out1 = (q15_t) __SSAT(mul1 >> 15u, 16); - out2 = (q15_t) __SSAT(mul2 >> 15u, 16); - out3 = (q15_t) __SSAT(mul3 >> 15u, 16); - out4 = (q15_t) __SSAT(mul4 >> 15u, 16); - - /* pack real and imaginary outputs and store them to destination */ - *__SIMD32(pCmplxDst)++ = __PKHBT(out1, out2, 16); - *__SIMD32(pCmplxDst)++ = __PKHBT(out3, out4, 16); - - inA1 = *__SIMD32(pSrcCmplx)++; - inB1 = *__SIMD32(pSrcReal)++; - inA2 = *__SIMD32(pSrcCmplx)++; - -#ifndef ARM_MATH_BIG_ENDIAN - - mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1)); - mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1)); - mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16)); - mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16)); - -#else - - mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16)); - mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16)); - mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1); - mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - out1 = (q15_t) __SSAT(mul1 >> 15u, 16); - out2 = (q15_t) __SSAT(mul2 >> 15u, 16); - out3 = (q15_t) __SSAT(mul3 >> 15u, 16); - out4 = (q15_t) __SSAT(mul4 >> 15u, 16); - - *__SIMD32(pCmplxDst)++ = __PKHBT(out1, out2, 16); - *__SIMD32(pCmplxDst)++ = __PKHBT(out3, out4, 16); - - /* Decrement the numSamples loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[i]. */ - /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ - in = *pSrcReal++; - /* store the result in the destination buffer. */ - *pCmplxDst++ = - (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16); - *pCmplxDst++ = - (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16); - - /* Decrement the numSamples loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - while(numSamples > 0u) - { - /* realOut = realA * realB. */ - /* imagOut = imagA * realB. */ - in = *pSrcReal++; - /* store the result in the destination buffer. */ - *pCmplxDst++ = - (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16); - *pCmplxDst++ = - (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16); - - /* Decrement the numSamples loop counter */ - numSamples--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of CmplxByRealMult group - */
--- a/cmsis_dsp/ComplexMathFunctions/arm_cmplx_mult_real_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,223 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cmplx_mult_real_q31.c -* -* Description: Q31 complex by real multiplication -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupCmplxMath - */ - -/** - * @addtogroup CmplxByRealMult - * @{ - */ - - -/** - * @brief Q31 complex-by-real multiplication - * @param[in] *pSrcCmplx points to the complex input vector - * @param[in] *pSrcReal points to the real input vector - * @param[out] *pCmplxDst points to the complex output vector - * @param[in] numSamples number of samples in each vector - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. - */ - -void arm_cmplx_mult_real_q31( - q31_t * pSrcCmplx, - q31_t * pSrcReal, - q31_t * pCmplxDst, - uint32_t numSamples) -{ - q31_t inA1; /* Temporary variable to store input value */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - uint32_t blkCnt; /* loop counters */ - q31_t inA2, inA3, inA4; /* Temporary variables to hold input data */ - q31_t inB1, inB2; /* Temporary variabels to hold input data */ - q31_t out1, out2, out3, out4; /* Temporary variables to hold output data */ - - /* loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[i]. */ - /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ - /* read real input from complex input buffer */ - inA1 = *pSrcCmplx++; - inA2 = *pSrcCmplx++; - /* read input from real input bufer */ - inB1 = *pSrcReal++; - inB2 = *pSrcReal++; - /* read imaginary input from complex input buffer */ - inA3 = *pSrcCmplx++; - inA4 = *pSrcCmplx++; - - /* multiply complex input with real input */ - out1 = ((q63_t) inA1 * inB1) >> 32; - out2 = ((q63_t) inA2 * inB1) >> 32; - out3 = ((q63_t) inA3 * inB2) >> 32; - out4 = ((q63_t) inA4 * inB2) >> 32; - - /* sature the result */ - out1 = __SSAT(out1, 31); - out2 = __SSAT(out2, 31); - out3 = __SSAT(out3, 31); - out4 = __SSAT(out4, 31); - - /* get result in 1.31 format */ - out1 = out1 << 1; - out2 = out2 << 1; - out3 = out3 << 1; - out4 = out4 << 1; - - /* store the result to destination buffer */ - *pCmplxDst++ = out1; - *pCmplxDst++ = out2; - *pCmplxDst++ = out3; - *pCmplxDst++ = out4; - - /* read real input from complex input buffer */ - inA1 = *pSrcCmplx++; - inA2 = *pSrcCmplx++; - /* read input from real input bufer */ - inB1 = *pSrcReal++; - inB2 = *pSrcReal++; - /* read imaginary input from complex input buffer */ - inA3 = *pSrcCmplx++; - inA4 = *pSrcCmplx++; - - /* multiply complex input with real input */ - out1 = ((q63_t) inA1 * inB1) >> 32; - out2 = ((q63_t) inA2 * inB1) >> 32; - out3 = ((q63_t) inA3 * inB2) >> 32; - out4 = ((q63_t) inA4 * inB2) >> 32; - - /* sature the result */ - out1 = __SSAT(out1, 31); - out2 = __SSAT(out2, 31); - out3 = __SSAT(out3, 31); - out4 = __SSAT(out4, 31); - - /* get result in 1.31 format */ - out1 = out1 << 1; - out2 = out2 << 1; - out3 = out3 << 1; - out4 = out4 << 1; - - /* store the result to destination buffer */ - *pCmplxDst++ = out1; - *pCmplxDst++ = out2; - *pCmplxDst++ = out3; - *pCmplxDst++ = out4; - - /* Decrement the numSamples loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - - while(blkCnt > 0u) - { - /* C[2 * i] = A[2 * i] * B[i]. */ - /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */ - /* read real input from complex input buffer */ - inA1 = *pSrcCmplx++; - inA2 = *pSrcCmplx++; - /* read input from real input bufer */ - inB1 = *pSrcReal++; - - /* multiply complex input with real input */ - out1 = ((q63_t) inA1 * inB1) >> 32; - out2 = ((q63_t) inA2 * inB1) >> 32; - - /* sature the result */ - out1 = __SSAT(out1, 31); - out2 = __SSAT(out2, 31); - - /* get result in 1.31 format */ - out1 = out1 << 1; - out2 = out2 << 1; - - /* store the result to destination buffer */ - *pCmplxDst++ = out1; - *pCmplxDst++ = out2; - - /* Decrement the numSamples loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - while(numSamples > 0u) - { - /* realOut = realA * realB. */ - /* imagReal = imagA * realB. */ - inA1 = *pSrcReal++; - /* store the result in the destination buffer. */ - *pCmplxDst++ = - (q31_t) clip_q63_to_q31(((q63_t) * pSrcCmplx++ * inA1) >> 31); - *pCmplxDst++ = - (q31_t) clip_q63_to_q31(((q63_t) * pSrcCmplx++ * inA1) >> 31); - - /* Decrement the numSamples loop counter */ - numSamples--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of CmplxByRealMult group - */
--- a/cmsis_dsp/ControllerFunctions/arm_pid_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,87 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_pid_init_f32.c -* -* Description: Floating-point PID Control initialization function -* -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ------------------------------------------------------------------- */ - -#include "arm_math.h" - - /** - * @addtogroup PID - * @{ - */ - -/** - * @brief Initialization function for the floating-point PID Control. - * @param[in,out] *S points to an instance of the PID structure. - * @param[in] resetStateFlag flag to reset the state. 0 = no change in state & 1 = reset the state. - * @return none. - * \par Description: - * \par - * The <code>resetStateFlag</code> specifies whether to set state to zero or not. \n - * The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code> - * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd) - * also sets the state variables to all zeros. - */ - -void arm_pid_init_f32( - arm_pid_instance_f32 * S, - int32_t resetStateFlag) -{ - - /* Derived coefficient A0 */ - S->A0 = S->Kp + S->Ki + S->Kd; - - /* Derived coefficient A1 */ - S->A1 = (-S->Kp) - ((float32_t) 2.0 * S->Kd); - - /* Derived coefficient A2 */ - S->A2 = S->Kd; - - /* Check whether state needs reset or not */ - if(resetStateFlag) - { - /* Clear the state buffer. The size will be always 3 samples */ - memset(S->state, 0, 3u * sizeof(float32_t)); - } - -} - -/** - * @} end of PID group - */
--- a/cmsis_dsp/ControllerFunctions/arm_pid_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,122 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_pid_init_q15.c -* -* Description: Q15 PID Control initialization function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - - /** - * @addtogroup PID - * @{ - */ - -/** - * @details - * @param[in,out] *S points to an instance of the Q15 PID structure. - * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. - * @return none. - * \par Description: - * \par - * The <code>resetStateFlag</code> specifies whether to set state to zero or not. \n - * The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code> - * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd) - * also sets the state variables to all zeros. - */ - -void arm_pid_init_q15( - arm_pid_instance_q15 * S, - int32_t resetStateFlag) -{ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Derived coefficient A0 */ - S->A0 = __QADD16(__QADD16(S->Kp, S->Ki), S->Kd); - - /* Derived coefficients and pack into A1 */ - -#ifndef ARM_MATH_BIG_ENDIAN - - S->A1 = __PKHBT(-__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), S->Kd, 16); - -#else - - S->A1 = __PKHBT(S->Kd, -__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Check whether state needs reset or not */ - if(resetStateFlag) - { - /* Clear the state buffer. The size will be always 3 samples */ - memset(S->state, 0, 3u * sizeof(q15_t)); - } - -#else - - /* Run the below code for Cortex-M0 */ - - q31_t temp; /*to store the sum */ - - /* Derived coefficient A0 */ - temp = S->Kp + S->Ki + S->Kd; - S->A0 = (q15_t) __SSAT(temp, 16); - - /* Derived coefficients and pack into A1 */ - temp = -(S->Kd + S->Kd + S->Kp); - S->A1 = (q15_t) __SSAT(temp, 16); - S->A2 = S->Kd; - - - - /* Check whether state needs reset or not */ - if(resetStateFlag) - { - /* Clear the state buffer. The size will be always 3 samples */ - memset(S->state, 0, 3u * sizeof(q15_t)); - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of PID group - */
--- a/cmsis_dsp/ControllerFunctions/arm_pid_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,107 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_pid_init_q31.c -* -* Description: Q31 PID Control initialization function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ------------------------------------------------------------------- */ - -#include "arm_math.h" - - /** - * @addtogroup PID - * @{ - */ - -/** - * @brief Initialization function for the Q31 PID Control. - * @param[in,out] *S points to an instance of the Q31 PID structure. - * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state. - * @return none. - * \par Description: - * \par - * The <code>resetStateFlag</code> specifies whether to set state to zero or not. \n - * The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code> - * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd) - * also sets the state variables to all zeros. - */ - -void arm_pid_init_q31( - arm_pid_instance_q31 * S, - int32_t resetStateFlag) -{ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Derived coefficient A0 */ - S->A0 = __QADD(__QADD(S->Kp, S->Ki), S->Kd); - - /* Derived coefficient A1 */ - S->A1 = -__QADD(__QADD(S->Kd, S->Kd), S->Kp); - - -#else - - /* Run the below code for Cortex-M0 */ - - q31_t temp; - - /* Derived coefficient A0 */ - temp = clip_q63_to_q31((q63_t) S->Kp + S->Ki); - S->A0 = clip_q63_to_q31((q63_t) temp + S->Kd); - - /* Derived coefficient A1 */ - temp = clip_q63_to_q31((q63_t) S->Kd + S->Kd); - S->A1 = -clip_q63_to_q31((q63_t) temp + S->Kp); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /* Derived coefficient A2 */ - S->A2 = S->Kd; - - /* Check whether state needs reset or not */ - if(resetStateFlag) - { - /* Clear the state buffer. The size will be always 3 samples */ - memset(S->state, 0, 3u * sizeof(q31_t)); - } - -} - -/** - * @} end of PID group - */
--- a/cmsis_dsp/ControllerFunctions/arm_pid_reset_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,65 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_pid_reset_f32.c -* -* Description: Floating-point PID Control reset function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ------------------------------------------------------------------- */ - -#include "arm_math.h" - - /** - * @addtogroup PID - * @{ - */ - -/** -* @brief Reset function for the floating-point PID Control. -* @param[in] *S Instance pointer of PID control data structure. -* @return none. -* \par Description: -* The function resets the state buffer to zeros. -*/ -void arm_pid_reset_f32( - arm_pid_instance_f32 * S) -{ - - /* Clear the state buffer. The size will be always 3 samples */ - memset(S->state, 0, 3u * sizeof(float32_t)); -} - -/** - * @} end of PID group - */
--- a/cmsis_dsp/ControllerFunctions/arm_pid_reset_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,64 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_pid_reset_q15.c -* -* Description: Q15 PID Control reset function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - - /** - * @addtogroup PID - * @{ - */ - -/** -* @brief Reset function for the Q15 PID Control. -* @param[in] *S Instance pointer of PID control data structure. -* @return none. -* \par Description: -* The function resets the state buffer to zeros. -*/ -void arm_pid_reset_q15( - arm_pid_instance_q15 * S) -{ - /* Reset state to zero, The size will be always 3 samples */ - memset(S->state, 0, 3u * sizeof(q15_t)); -} - -/** - * @} end of PID group - */
--- a/cmsis_dsp/ControllerFunctions/arm_pid_reset_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,65 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_pid_reset_q31.c -* -* Description: Q31 PID Control reset function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ------------------------------------------------------------------- */ - -#include "arm_math.h" - - /** - * @addtogroup PID - * @{ - */ - -/** -* @brief Reset function for the Q31 PID Control. -* @param[in] *S Instance pointer of PID control data structure. -* @return none. -* \par Description: -* The function resets the state buffer to zeros. -*/ -void arm_pid_reset_q31( - arm_pid_instance_q31 * S) -{ - - /* Clear the state buffer. The size will be always 3 samples */ - memset(S->state, 0, 3u * sizeof(q31_t)); -} - -/** - * @} end of PID group - */
--- a/cmsis_dsp/ControllerFunctions/arm_sin_cos_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,436 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_sin_cos_f32.c -* -* Description: Sine and Cosine calculation for floating-point values. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupController - */ - -/** - * @defgroup SinCos Sine Cosine - * - * Computes the trigonometric sine and cosine values using a combination of table lookup - * and linear interpolation. - * There are separate functions for Q31 and floating-point data types. - * The input to the floating-point version is in degrees while the - * fixed-point Q31 have a scaled input with the range - * [-1 0.9999] mapping to [-180 179] degrees. - * - * The implementation is based on table lookup using 360 values together with linear interpolation. - * The steps used are: - * -# Calculation of the nearest integer table index. - * -# Compute the fractional portion (fract) of the input. - * -# Fetch the value corresponding to \c index from sine table to \c y0 and also value from \c index+1 to \c y1. - * -# Sine value is computed as <code> *psinVal = y0 + (fract * (y1 - y0))</code>. - * -# Fetch the value corresponding to \c index from cosine table to \c y0 and also value from \c index+1 to \c y1. - * -# Cosine value is computed as <code> *pcosVal = y0 + (fract * (y1 - y0))</code>. - */ - - /** - * @addtogroup SinCos - * @{ - */ - - -/** -* \par -* Cosine Table is generated from following loop -* <pre>for(i = 0; i < 360; i++) -* { -* cosTable[i]= cos((i-180) * PI/180.0); -* } </pre> -*/ - -static const float32_t cosTable[360] = { - -0.999847695156391270f, -0.999390827019095760f, -0.998629534754573830f, - -0.997564050259824200f, -0.996194698091745550f, -0.994521895368273290f, - -0.992546151641321980f, -0.990268068741570250f, - -0.987688340595137660f, -0.984807753012208020f, -0.981627183447663980f, - -0.978147600733805690f, -0.974370064785235250f, -0.970295726275996470f, - -0.965925826289068200f, -0.961261695938318670f, - -0.956304755963035440f, -0.951056516295153530f, -0.945518575599316740f, - -0.939692620785908320f, -0.933580426497201740f, -0.927183854566787310f, - -0.920504853452440150f, -0.913545457642600760f, - -0.906307787036649940f, -0.898794046299167040f, -0.891006524188367790f, - -0.882947592858926770f, -0.874619707139395740f, -0.866025403784438710f, - -0.857167300702112220f, -0.848048096156425960f, - -0.838670567945424160f, -0.829037572555041620f, -0.819152044288991580f, - -0.809016994374947340f, -0.798635510047292940f, -0.788010753606721900f, - -0.777145961456970680f, -0.766044443118977900f, - -0.754709580222772010f, -0.743144825477394130f, -0.731353701619170460f, - -0.719339800338651300f, -0.707106781186547460f, -0.694658370458997030f, - -0.681998360062498370f, -0.669130606358858240f, - -0.656059028990507500f, -0.642787609686539360f, -0.629320391049837280f, - -0.615661475325658290f, -0.601815023152048380f, -0.587785252292473030f, - -0.573576436351045830f, -0.559192903470746680f, - -0.544639035015027080f, -0.529919264233204790f, -0.515038074910054270f, - -0.499999999999999780f, -0.484809620246337000f, -0.469471562785890530f, - -0.453990499739546750f, -0.438371146789077510f, - -0.422618261740699330f, -0.406736643075800100f, -0.390731128489273600f, - -0.374606593415912070f, -0.358367949545300270f, -0.342020143325668710f, - -0.325568154457156420f, -0.309016994374947340f, - -0.292371704722736660f, -0.275637355816999050f, -0.258819045102520850f, - -0.241921895599667790f, -0.224951054343864810f, -0.207911690817759120f, - -0.190808995376544800f, -0.173648177666930300f, - -0.156434465040231040f, -0.139173100960065350f, -0.121869343405147370f, - -0.104528463267653330f, -0.087155742747658235f, -0.069756473744125330f, - -0.052335956242943620f, -0.034899496702500733f, - -0.017452406437283477f, 0.000000000000000061f, 0.017452406437283376f, - 0.034899496702501080f, 0.052335956242943966f, 0.069756473744125455f, - 0.087155742747658138f, 0.104528463267653460f, - 0.121869343405147490f, 0.139173100960065690f, 0.156434465040230920f, - 0.173648177666930410f, 0.190808995376544920f, 0.207911690817759450f, - 0.224951054343864920f, 0.241921895599667900f, - 0.258819045102520740f, 0.275637355816999160f, 0.292371704722736770f, - 0.309016994374947450f, 0.325568154457156760f, 0.342020143325668820f, - 0.358367949545300380f, 0.374606593415911960f, - 0.390731128489273940f, 0.406736643075800210f, 0.422618261740699440f, - 0.438371146789077460f, 0.453990499739546860f, 0.469471562785890860f, - 0.484809620246337110f, 0.500000000000000110f, - 0.515038074910054380f, 0.529919264233204900f, 0.544639035015027200f, - 0.559192903470746790f, 0.573576436351046050f, 0.587785252292473140f, - 0.601815023152048270f, 0.615661475325658290f, - 0.629320391049837500f, 0.642787609686539360f, 0.656059028990507280f, - 0.669130606358858240f, 0.681998360062498480f, 0.694658370458997370f, - 0.707106781186547570f, 0.719339800338651190f, - 0.731353701619170570f, 0.743144825477394240f, 0.754709580222772010f, - 0.766044443118978010f, 0.777145961456970900f, 0.788010753606722010f, - 0.798635510047292830f, 0.809016994374947450f, - 0.819152044288991800f, 0.829037572555041620f, 0.838670567945424050f, - 0.848048096156425960f, 0.857167300702112330f, 0.866025403784438710f, - 0.874619707139395740f, 0.882947592858926990f, - 0.891006524188367900f, 0.898794046299167040f, 0.906307787036649940f, - 0.913545457642600870f, 0.920504853452440370f, 0.927183854566787420f, - 0.933580426497201740f, 0.939692620785908430f, - 0.945518575599316850f, 0.951056516295153530f, 0.956304755963035440f, - 0.961261695938318890f, 0.965925826289068310f, 0.970295726275996470f, - 0.974370064785235250f, 0.978147600733805690f, - 0.981627183447663980f, 0.984807753012208020f, 0.987688340595137770f, - 0.990268068741570360f, 0.992546151641321980f, 0.994521895368273290f, - 0.996194698091745550f, 0.997564050259824200f, - 0.998629534754573830f, 0.999390827019095760f, 0.999847695156391270f, - 1.000000000000000000f, 0.999847695156391270f, 0.999390827019095760f, - 0.998629534754573830f, 0.997564050259824200f, - 0.996194698091745550f, 0.994521895368273290f, 0.992546151641321980f, - 0.990268068741570360f, 0.987688340595137770f, 0.984807753012208020f, - 0.981627183447663980f, 0.978147600733805690f, - 0.974370064785235250f, 0.970295726275996470f, 0.965925826289068310f, - 0.961261695938318890f, 0.956304755963035440f, 0.951056516295153530f, - 0.945518575599316850f, 0.939692620785908430f, - 0.933580426497201740f, 0.927183854566787420f, 0.920504853452440370f, - 0.913545457642600870f, 0.906307787036649940f, 0.898794046299167040f, - 0.891006524188367900f, 0.882947592858926990f, - 0.874619707139395740f, 0.866025403784438710f, 0.857167300702112330f, - 0.848048096156425960f, 0.838670567945424050f, 0.829037572555041620f, - 0.819152044288991800f, 0.809016994374947450f, - 0.798635510047292830f, 0.788010753606722010f, 0.777145961456970900f, - 0.766044443118978010f, 0.754709580222772010f, 0.743144825477394240f, - 0.731353701619170570f, 0.719339800338651190f, - 0.707106781186547570f, 0.694658370458997370f, 0.681998360062498480f, - 0.669130606358858240f, 0.656059028990507280f, 0.642787609686539360f, - 0.629320391049837500f, 0.615661475325658290f, - 0.601815023152048270f, 0.587785252292473140f, 0.573576436351046050f, - 0.559192903470746790f, 0.544639035015027200f, 0.529919264233204900f, - 0.515038074910054380f, 0.500000000000000110f, - 0.484809620246337110f, 0.469471562785890860f, 0.453990499739546860f, - 0.438371146789077460f, 0.422618261740699440f, 0.406736643075800210f, - 0.390731128489273940f, 0.374606593415911960f, - 0.358367949545300380f, 0.342020143325668820f, 0.325568154457156760f, - 0.309016994374947450f, 0.292371704722736770f, 0.275637355816999160f, - 0.258819045102520740f, 0.241921895599667900f, - 0.224951054343864920f, 0.207911690817759450f, 0.190808995376544920f, - 0.173648177666930410f, 0.156434465040230920f, 0.139173100960065690f, - 0.121869343405147490f, 0.104528463267653460f, - 0.087155742747658138f, 0.069756473744125455f, 0.052335956242943966f, - 0.034899496702501080f, 0.017452406437283376f, 0.000000000000000061f, - -0.017452406437283477f, -0.034899496702500733f, - -0.052335956242943620f, -0.069756473744125330f, -0.087155742747658235f, - -0.104528463267653330f, -0.121869343405147370f, -0.139173100960065350f, - -0.156434465040231040f, -0.173648177666930300f, - -0.190808995376544800f, -0.207911690817759120f, -0.224951054343864810f, - -0.241921895599667790f, -0.258819045102520850f, -0.275637355816999050f, - -0.292371704722736660f, -0.309016994374947340f, - -0.325568154457156420f, -0.342020143325668710f, -0.358367949545300270f, - -0.374606593415912070f, -0.390731128489273600f, -0.406736643075800100f, - -0.422618261740699330f, -0.438371146789077510f, - -0.453990499739546750f, -0.469471562785890530f, -0.484809620246337000f, - -0.499999999999999780f, -0.515038074910054270f, -0.529919264233204790f, - -0.544639035015027080f, -0.559192903470746680f, - -0.573576436351045830f, -0.587785252292473030f, -0.601815023152048380f, - -0.615661475325658290f, -0.629320391049837280f, -0.642787609686539360f, - -0.656059028990507500f, -0.669130606358858240f, - -0.681998360062498370f, -0.694658370458997030f, -0.707106781186547460f, - -0.719339800338651300f, -0.731353701619170460f, -0.743144825477394130f, - -0.754709580222772010f, -0.766044443118977900f, - -0.777145961456970680f, -0.788010753606721900f, -0.798635510047292940f, - -0.809016994374947340f, -0.819152044288991580f, -0.829037572555041620f, - -0.838670567945424160f, -0.848048096156425960f, - -0.857167300702112220f, -0.866025403784438710f, -0.874619707139395740f, - -0.882947592858926770f, -0.891006524188367790f, -0.898794046299167040f, - -0.906307787036649940f, -0.913545457642600760f, - -0.920504853452440150f, -0.927183854566787310f, -0.933580426497201740f, - -0.939692620785908320f, -0.945518575599316740f, -0.951056516295153530f, - -0.956304755963035440f, -0.961261695938318670f, - -0.965925826289068200f, -0.970295726275996470f, -0.974370064785235250f, - -0.978147600733805690f, -0.981627183447663980f, -0.984807753012208020f, - -0.987688340595137660f, -0.990268068741570250f, - -0.992546151641321980f, -0.994521895368273290f, -0.996194698091745550f, - -0.997564050259824200f, -0.998629534754573830f, -0.999390827019095760f, - -0.999847695156391270f, -1.000000000000000000f -}; - -/** -* \par -* Sine Table is generated from following loop -* <pre>for(i = 0; i < 360; i++) -* { -* sinTable[i]= sin((i-180) * PI/180.0); -* } </pre> -*/ - - -static const float32_t sinTable[360] = { - -0.017452406437283439f, -0.034899496702500699f, -0.052335956242943807f, - -0.069756473744125524f, -0.087155742747658638f, -0.104528463267653730f, - -0.121869343405147550f, -0.139173100960065740f, - -0.156434465040230980f, -0.173648177666930280f, -0.190808995376544970f, - -0.207911690817759310f, -0.224951054343864780f, -0.241921895599667730f, - -0.258819045102521020f, -0.275637355816999660f, - -0.292371704722737050f, -0.309016994374947510f, -0.325568154457156980f, - -0.342020143325668880f, -0.358367949545300210f, -0.374606593415912240f, - -0.390731128489274160f, -0.406736643075800430f, - -0.422618261740699500f, -0.438371146789077290f, -0.453990499739546860f, - -0.469471562785891080f, -0.484809620246337170f, -0.499999999999999940f, - -0.515038074910054380f, -0.529919264233204900f, - -0.544639035015026860f, -0.559192903470746900f, -0.573576436351046380f, - -0.587785252292473250f, -0.601815023152048160f, -0.615661475325658400f, - -0.629320391049837720f, -0.642787609686539470f, - -0.656059028990507280f, -0.669130606358858350f, -0.681998360062498590f, - -0.694658370458997140f, -0.707106781186547570f, -0.719339800338651410f, - -0.731353701619170570f, -0.743144825477394240f, - -0.754709580222771790f, -0.766044443118978010f, -0.777145961456971010f, - -0.788010753606722010f, -0.798635510047292720f, -0.809016994374947450f, - -0.819152044288992020f, -0.829037572555041740f, - -0.838670567945424050f, -0.848048096156426070f, -0.857167300702112330f, - -0.866025403784438710f, -0.874619707139395850f, -0.882947592858927100f, - -0.891006524188367900f, -0.898794046299166930f, - -0.906307787036650050f, -0.913545457642600980f, -0.920504853452440370f, - -0.927183854566787420f, -0.933580426497201740f, -0.939692620785908430f, - -0.945518575599316850f, -0.951056516295153640f, - -0.956304755963035550f, -0.961261695938318890f, -0.965925826289068310f, - -0.970295726275996470f, -0.974370064785235250f, -0.978147600733805690f, - -0.981627183447663980f, -0.984807753012208020f, - -0.987688340595137660f, -0.990268068741570360f, -0.992546151641322090f, - -0.994521895368273400f, -0.996194698091745550f, -0.997564050259824200f, - -0.998629534754573830f, -0.999390827019095760f, - -0.999847695156391270f, -1.000000000000000000f, -0.999847695156391270f, - -0.999390827019095760f, -0.998629534754573830f, -0.997564050259824200f, - -0.996194698091745550f, -0.994521895368273290f, - -0.992546151641321980f, -0.990268068741570250f, -0.987688340595137770f, - -0.984807753012208020f, -0.981627183447663980f, -0.978147600733805580f, - -0.974370064785235250f, -0.970295726275996470f, - -0.965925826289068310f, -0.961261695938318890f, -0.956304755963035440f, - -0.951056516295153530f, -0.945518575599316740f, -0.939692620785908320f, - -0.933580426497201740f, -0.927183854566787420f, - -0.920504853452440260f, -0.913545457642600870f, -0.906307787036649940f, - -0.898794046299167040f, -0.891006524188367790f, -0.882947592858926880f, - -0.874619707139395740f, -0.866025403784438600f, - -0.857167300702112220f, -0.848048096156426070f, -0.838670567945423940f, - -0.829037572555041740f, -0.819152044288991800f, -0.809016994374947450f, - -0.798635510047292830f, -0.788010753606722010f, - -0.777145961456970790f, -0.766044443118978010f, -0.754709580222772010f, - -0.743144825477394240f, -0.731353701619170460f, -0.719339800338651080f, - -0.707106781186547460f, -0.694658370458997250f, - -0.681998360062498480f, -0.669130606358858240f, -0.656059028990507160f, - -0.642787609686539250f, -0.629320391049837390f, -0.615661475325658180f, - -0.601815023152048270f, -0.587785252292473140f, - -0.573576436351046050f, -0.559192903470746900f, -0.544639035015027080f, - -0.529919264233204900f, -0.515038074910054160f, -0.499999999999999940f, - -0.484809620246337060f, -0.469471562785890810f, - -0.453990499739546750f, -0.438371146789077400f, -0.422618261740699440f, - -0.406736643075800150f, -0.390731128489273720f, -0.374606593415912010f, - -0.358367949545300270f, -0.342020143325668710f, - -0.325568154457156640f, -0.309016994374947400f, -0.292371704722736770f, - -0.275637355816999160f, -0.258819045102520740f, -0.241921895599667730f, - -0.224951054343865000f, -0.207911690817759310f, - -0.190808995376544800f, -0.173648177666930330f, -0.156434465040230870f, - -0.139173100960065440f, -0.121869343405147480f, -0.104528463267653460f, - -0.087155742747658166f, -0.069756473744125302f, - -0.052335956242943828f, -0.034899496702500969f, -0.017452406437283512f, - 0.000000000000000000f, 0.017452406437283512f, 0.034899496702500969f, - 0.052335956242943828f, 0.069756473744125302f, - 0.087155742747658166f, 0.104528463267653460f, 0.121869343405147480f, - 0.139173100960065440f, 0.156434465040230870f, 0.173648177666930330f, - 0.190808995376544800f, 0.207911690817759310f, - 0.224951054343865000f, 0.241921895599667730f, 0.258819045102520740f, - 0.275637355816999160f, 0.292371704722736770f, 0.309016994374947400f, - 0.325568154457156640f, 0.342020143325668710f, - 0.358367949545300270f, 0.374606593415912010f, 0.390731128489273720f, - 0.406736643075800150f, 0.422618261740699440f, 0.438371146789077400f, - 0.453990499739546750f, 0.469471562785890810f, - 0.484809620246337060f, 0.499999999999999940f, 0.515038074910054160f, - 0.529919264233204900f, 0.544639035015027080f, 0.559192903470746900f, - 0.573576436351046050f, 0.587785252292473140f, - 0.601815023152048270f, 0.615661475325658180f, 0.629320391049837390f, - 0.642787609686539250f, 0.656059028990507160f, 0.669130606358858240f, - 0.681998360062498480f, 0.694658370458997250f, - 0.707106781186547460f, 0.719339800338651080f, 0.731353701619170460f, - 0.743144825477394240f, 0.754709580222772010f, 0.766044443118978010f, - 0.777145961456970790f, 0.788010753606722010f, - 0.798635510047292830f, 0.809016994374947450f, 0.819152044288991800f, - 0.829037572555041740f, 0.838670567945423940f, 0.848048096156426070f, - 0.857167300702112220f, 0.866025403784438600f, - 0.874619707139395740f, 0.882947592858926880f, 0.891006524188367790f, - 0.898794046299167040f, 0.906307787036649940f, 0.913545457642600870f, - 0.920504853452440260f, 0.927183854566787420f, - 0.933580426497201740f, 0.939692620785908320f, 0.945518575599316740f, - 0.951056516295153530f, 0.956304755963035440f, 0.961261695938318890f, - 0.965925826289068310f, 0.970295726275996470f, - 0.974370064785235250f, 0.978147600733805580f, 0.981627183447663980f, - 0.984807753012208020f, 0.987688340595137770f, 0.990268068741570250f, - 0.992546151641321980f, 0.994521895368273290f, - 0.996194698091745550f, 0.997564050259824200f, 0.998629534754573830f, - 0.999390827019095760f, 0.999847695156391270f, 1.000000000000000000f, - 0.999847695156391270f, 0.999390827019095760f, - 0.998629534754573830f, 0.997564050259824200f, 0.996194698091745550f, - 0.994521895368273400f, 0.992546151641322090f, 0.990268068741570360f, - 0.987688340595137660f, 0.984807753012208020f, - 0.981627183447663980f, 0.978147600733805690f, 0.974370064785235250f, - 0.970295726275996470f, 0.965925826289068310f, 0.961261695938318890f, - 0.956304755963035550f, 0.951056516295153640f, - 0.945518575599316850f, 0.939692620785908430f, 0.933580426497201740f, - 0.927183854566787420f, 0.920504853452440370f, 0.913545457642600980f, - 0.906307787036650050f, 0.898794046299166930f, - 0.891006524188367900f, 0.882947592858927100f, 0.874619707139395850f, - 0.866025403784438710f, 0.857167300702112330f, 0.848048096156426070f, - 0.838670567945424050f, 0.829037572555041740f, - 0.819152044288992020f, 0.809016994374947450f, 0.798635510047292720f, - 0.788010753606722010f, 0.777145961456971010f, 0.766044443118978010f, - 0.754709580222771790f, 0.743144825477394240f, - 0.731353701619170570f, 0.719339800338651410f, 0.707106781186547570f, - 0.694658370458997140f, 0.681998360062498590f, 0.669130606358858350f, - 0.656059028990507280f, 0.642787609686539470f, - 0.629320391049837720f, 0.615661475325658400f, 0.601815023152048160f, - 0.587785252292473250f, 0.573576436351046380f, 0.559192903470746900f, - 0.544639035015026860f, 0.529919264233204900f, - 0.515038074910054380f, 0.499999999999999940f, 0.484809620246337170f, - 0.469471562785891080f, 0.453990499739546860f, 0.438371146789077290f, - 0.422618261740699500f, 0.406736643075800430f, - 0.390731128489274160f, 0.374606593415912240f, 0.358367949545300210f, - 0.342020143325668880f, 0.325568154457156980f, 0.309016994374947510f, - 0.292371704722737050f, 0.275637355816999660f, - 0.258819045102521020f, 0.241921895599667730f, 0.224951054343864780f, - 0.207911690817759310f, 0.190808995376544970f, 0.173648177666930280f, - 0.156434465040230980f, 0.139173100960065740f, - 0.121869343405147550f, 0.104528463267653730f, 0.087155742747658638f, - 0.069756473744125524f, 0.052335956242943807f, 0.034899496702500699f, - 0.017452406437283439f, 0.000000000000000122f -}; - - -/** - * @brief Floating-point sin_cos function. - * @param[in] theta input value in degrees - * @param[out] *pSinVal points to the processed sine output. - * @param[out] *pCosVal points to the processed cos output. - * @return none. - */ - - -void arm_sin_cos_f32( - float32_t theta, - float32_t * pSinVal, - float32_t * pCosVal) -{ - int32_t i; /* Index for reading nearwst output values */ - float32_t x1 = -179.0f; /* Initial input value */ - float32_t y0, y1; /* nearest output values */ - float32_t y2, y3; - float32_t fract; /* fractional part of input */ - - /* Calculation of fractional part */ - if(theta > 0.0f) - { - fract = theta - (float32_t) ((int32_t) theta); - } - else - { - fract = (theta - (float32_t) ((int32_t) theta)) + 1.0f; - } - - /* index calculation for reading nearest output values */ - i = (uint32_t) (theta - x1); - - /* Checking min and max index of table */ - if(i < 0) - { - i = 0; - } - else if(i >= 359) - { - i = 358; - } - - /* reading nearest sine output values */ - y0 = sinTable[i]; - y1 = sinTable[i + 1u]; - - /* reading nearest cosine output values */ - y2 = cosTable[i]; - y3 = cosTable[i + 1u]; - - y1 = y1 - y0; - y3 = y3 - y2; - - y1 = fract * y1; - y3 = fract * y3; - - /* Calculation of sine value */ - *pSinVal = y0 + y1; - - /* Calculation of cosine value */ - *pCosVal = y2 + y3; - -} - -/** - * @} end of SinCos group - */
--- a/cmsis_dsp/ControllerFunctions/arm_sin_cos_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,328 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_sin_cos_q31.c -* -* Description: Cosine & Sine calculation for Q31 values. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupController - */ - - /** - * @addtogroup SinCos - * @{ - */ - -/** -* \par -* Sine Table is generated from following loop -* <pre>for(i = 0; i < 360; i++) -* { -* sinTable[i]= sin((i-180) * PI/180.0); -* } </pre> -* Convert above coefficients to fixed point 1.31 format. -*/ - -static const int32_t sinTableQ31[360] = { - - 0x0, 0xfdc41e9b, 0xfb8869ce, 0xf94d0e2e, 0xf7123849, 0xf4d814a4, 0xf29ecfb2, - 0xf06695da, - 0xee2f9369, 0xebf9f498, 0xe9c5e582, 0xe7939223, 0xe5632654, 0xe334cdc9, - 0xe108b40d, 0xdedf047d, - 0xdcb7ea46, 0xda939061, 0xd8722192, 0xd653c860, 0xd438af17, 0xd220ffc0, - 0xd00ce422, 0xcdfc85bb, - 0xcbf00dbe, 0xc9e7a512, 0xc7e3744b, 0xc5e3a3a9, 0xc3e85b18, 0xc1f1c224, - 0xc0000000, 0xbe133b7c, - 0xbc2b9b05, 0xba4944a2, 0xb86c5df0, 0xb6950c1e, 0xb4c373ee, 0xb2f7b9af, - 0xb1320139, 0xaf726def, - 0xadb922b7, 0xac0641fb, 0xaa59eda4, 0xa8b4471a, 0xa7156f3c, 0xa57d8666, - 0xa3ecac65, 0xa263007d, - 0xa0e0a15f, 0x9f65ad2d, 0x9df24175, 0x9c867b2c, 0x9b2276b0, 0x99c64fc5, - 0x98722192, 0x9726069c, - 0x95e218c9, 0x94a6715d, 0x937328f5, 0x92485786, 0x9126145f, 0x900c7621, - 0x8efb92c2, 0x8df37f8b, - 0x8cf45113, 0x8bfe1b3f, 0x8b10f144, 0x8a2ce59f, 0x89520a1a, 0x88806fc4, - 0x87b826f7, 0x86f93f50, - 0x8643c7b3, 0x8597ce46, 0x84f56073, 0x845c8ae3, 0x83cd5982, 0x8347d77b, - 0x82cc0f36, 0x825a0a5b, - 0x81f1d1ce, 0x81936daf, 0x813ee55b, 0x80f43f69, 0x80b381ac, 0x807cb130, - 0x804fd23a, 0x802ce84c, - 0x8013f61d, 0x8004fda0, 0x80000000, 0x8004fda0, 0x8013f61d, 0x802ce84c, - 0x804fd23a, 0x807cb130, - 0x80b381ac, 0x80f43f69, 0x813ee55b, 0x81936daf, 0x81f1d1ce, 0x825a0a5b, - 0x82cc0f36, 0x8347d77b, - 0x83cd5982, 0x845c8ae3, 0x84f56073, 0x8597ce46, 0x8643c7b3, 0x86f93f50, - 0x87b826f7, 0x88806fc4, - 0x89520a1a, 0x8a2ce59f, 0x8b10f144, 0x8bfe1b3f, 0x8cf45113, 0x8df37f8b, - 0x8efb92c2, 0x900c7621, - 0x9126145f, 0x92485786, 0x937328f5, 0x94a6715d, 0x95e218c9, 0x9726069c, - 0x98722192, 0x99c64fc5, - 0x9b2276b0, 0x9c867b2c, 0x9df24175, 0x9f65ad2d, 0xa0e0a15f, 0xa263007d, - 0xa3ecac65, 0xa57d8666, - 0xa7156f3c, 0xa8b4471a, 0xaa59eda4, 0xac0641fb, 0xadb922b7, 0xaf726def, - 0xb1320139, 0xb2f7b9af, - 0xb4c373ee, 0xb6950c1e, 0xb86c5df0, 0xba4944a2, 0xbc2b9b05, 0xbe133b7c, - 0xc0000000, 0xc1f1c224, - 0xc3e85b18, 0xc5e3a3a9, 0xc7e3744b, 0xc9e7a512, 0xcbf00dbe, 0xcdfc85bb, - 0xd00ce422, 0xd220ffc0, - 0xd438af17, 0xd653c860, 0xd8722192, 0xda939061, 0xdcb7ea46, 0xdedf047d, - 0xe108b40d, 0xe334cdc9, - 0xe5632654, 0xe7939223, 0xe9c5e582, 0xebf9f498, 0xee2f9369, 0xf06695da, - 0xf29ecfb2, 0xf4d814a4, - 0xf7123849, 0xf94d0e2e, 0xfb8869ce, 0xfdc41e9b, 0x0, 0x23be165, 0x4779632, - 0x6b2f1d2, - 0x8edc7b7, 0xb27eb5c, 0xd61304e, 0xf996a26, 0x11d06c97, 0x14060b68, - 0x163a1a7e, 0x186c6ddd, - 0x1a9cd9ac, 0x1ccb3237, 0x1ef74bf3, 0x2120fb83, 0x234815ba, 0x256c6f9f, - 0x278dde6e, 0x29ac37a0, - 0x2bc750e9, 0x2ddf0040, 0x2ff31bde, 0x32037a45, 0x340ff242, 0x36185aee, - 0x381c8bb5, 0x3a1c5c57, - 0x3c17a4e8, 0x3e0e3ddc, 0x40000000, 0x41ecc484, 0x43d464fb, 0x45b6bb5e, - 0x4793a210, 0x496af3e2, - 0x4b3c8c12, 0x4d084651, 0x4ecdfec7, 0x508d9211, 0x5246dd49, 0x53f9be05, - 0x55a6125c, 0x574bb8e6, - 0x58ea90c4, 0x5a82799a, 0x5c13539b, 0x5d9cff83, 0x5f1f5ea1, 0x609a52d3, - 0x620dbe8b, 0x637984d4, - 0x64dd8950, 0x6639b03b, 0x678dde6e, 0x68d9f964, 0x6a1de737, 0x6b598ea3, - 0x6c8cd70b, 0x6db7a87a, - 0x6ed9eba1, 0x6ff389df, 0x71046d3e, 0x720c8075, 0x730baeed, 0x7401e4c1, - 0x74ef0ebc, 0x75d31a61, - 0x76adf5e6, 0x777f903c, 0x7847d909, 0x7906c0b0, 0x79bc384d, 0x7a6831ba, - 0x7b0a9f8d, 0x7ba3751d, - 0x7c32a67e, 0x7cb82885, 0x7d33f0ca, 0x7da5f5a5, 0x7e0e2e32, 0x7e6c9251, - 0x7ec11aa5, 0x7f0bc097, - 0x7f4c7e54, 0x7f834ed0, 0x7fb02dc6, 0x7fd317b4, 0x7fec09e3, 0x7ffb0260, - 0x7fffffff, 0x7ffb0260, - 0x7fec09e3, 0x7fd317b4, 0x7fb02dc6, 0x7f834ed0, 0x7f4c7e54, 0x7f0bc097, - 0x7ec11aa5, 0x7e6c9251, - 0x7e0e2e32, 0x7da5f5a5, 0x7d33f0ca, 0x7cb82885, 0x7c32a67e, 0x7ba3751d, - 0x7b0a9f8d, 0x7a6831ba, - 0x79bc384d, 0x7906c0b0, 0x7847d909, 0x777f903c, 0x76adf5e6, 0x75d31a61, - 0x74ef0ebc, 0x7401e4c1, - 0x730baeed, 0x720c8075, 0x71046d3e, 0x6ff389df, 0x6ed9eba1, 0x6db7a87a, - 0x6c8cd70b, 0x6b598ea3, - 0x6a1de737, 0x68d9f964, 0x678dde6e, 0x6639b03b, 0x64dd8950, 0x637984d4, - 0x620dbe8b, 0x609a52d3, - 0x5f1f5ea1, 0x5d9cff83, 0x5c13539b, 0x5a82799a, 0x58ea90c4, 0x574bb8e6, - 0x55a6125c, 0x53f9be05, - 0x5246dd49, 0x508d9211, 0x4ecdfec7, 0x4d084651, 0x4b3c8c12, 0x496af3e2, - 0x4793a210, 0x45b6bb5e, - 0x43d464fb, 0x41ecc484, 0x40000000, 0x3e0e3ddc, 0x3c17a4e8, 0x3a1c5c57, - 0x381c8bb5, 0x36185aee, - 0x340ff242, 0x32037a45, 0x2ff31bde, 0x2ddf0040, 0x2bc750e9, 0x29ac37a0, - 0x278dde6e, 0x256c6f9f, - 0x234815ba, 0x2120fb83, 0x1ef74bf3, 0x1ccb3237, 0x1a9cd9ac, 0x186c6ddd, - 0x163a1a7e, 0x14060b68, - 0x11d06c97, 0xf996a26, 0xd61304e, 0xb27eb5c, 0x8edc7b7, 0x6b2f1d2, - 0x4779632, 0x23be165, - - -}; - -/** -* \par -* Cosine Table is generated from following loop -* <pre>for(i = 0; i < 360; i++) -* { -* cosTable[i]= cos((i-180) * PI/180.0); -* } </pre> -* \par -* Convert above coefficients to fixed point 1.31 format. -*/ -static const int32_t cosTableQ31[360] = { - 0x80000000, 0x8004fda0, 0x8013f61d, 0x802ce84c, 0x804fd23a, 0x807cb130, - 0x80b381ac, 0x80f43f69, - 0x813ee55b, 0x81936daf, 0x81f1d1ce, 0x825a0a5b, 0x82cc0f36, 0x8347d77b, - 0x83cd5982, 0x845c8ae3, - 0x84f56073, 0x8597ce46, 0x8643c7b3, 0x86f93f50, 0x87b826f7, 0x88806fc4, - 0x89520a1a, 0x8a2ce59f, - 0x8b10f144, 0x8bfe1b3f, 0x8cf45113, 0x8df37f8b, 0x8efb92c2, 0x900c7621, - 0x9126145f, 0x92485786, - 0x937328f5, 0x94a6715d, 0x95e218c9, 0x9726069c, 0x98722192, 0x99c64fc5, - 0x9b2276b0, 0x9c867b2c, - 0x9df24175, 0x9f65ad2d, 0xa0e0a15f, 0xa263007d, 0xa3ecac65, 0xa57d8666, - 0xa7156f3c, 0xa8b4471a, - 0xaa59eda4, 0xac0641fb, 0xadb922b7, 0xaf726def, 0xb1320139, 0xb2f7b9af, - 0xb4c373ee, 0xb6950c1e, - 0xb86c5df0, 0xba4944a2, 0xbc2b9b05, 0xbe133b7c, 0xc0000000, 0xc1f1c224, - 0xc3e85b18, 0xc5e3a3a9, - 0xc7e3744b, 0xc9e7a512, 0xcbf00dbe, 0xcdfc85bb, 0xd00ce422, 0xd220ffc0, - 0xd438af17, 0xd653c860, - 0xd8722192, 0xda939061, 0xdcb7ea46, 0xdedf047d, 0xe108b40d, 0xe334cdc9, - 0xe5632654, 0xe7939223, - 0xe9c5e582, 0xebf9f498, 0xee2f9369, 0xf06695da, 0xf29ecfb2, 0xf4d814a4, - 0xf7123849, 0xf94d0e2e, - 0xfb8869ce, 0xfdc41e9b, 0x0, 0x23be165, 0x4779632, 0x6b2f1d2, 0x8edc7b7, - 0xb27eb5c, - 0xd61304e, 0xf996a26, 0x11d06c97, 0x14060b68, 0x163a1a7e, 0x186c6ddd, - 0x1a9cd9ac, 0x1ccb3237, - 0x1ef74bf3, 0x2120fb83, 0x234815ba, 0x256c6f9f, 0x278dde6e, 0x29ac37a0, - 0x2bc750e9, 0x2ddf0040, - 0x2ff31bde, 0x32037a45, 0x340ff242, 0x36185aee, 0x381c8bb5, 0x3a1c5c57, - 0x3c17a4e8, 0x3e0e3ddc, - 0x40000000, 0x41ecc484, 0x43d464fb, 0x45b6bb5e, 0x4793a210, 0x496af3e2, - 0x4b3c8c12, 0x4d084651, - 0x4ecdfec7, 0x508d9211, 0x5246dd49, 0x53f9be05, 0x55a6125c, 0x574bb8e6, - 0x58ea90c4, 0x5a82799a, - 0x5c13539b, 0x5d9cff83, 0x5f1f5ea1, 0x609a52d3, 0x620dbe8b, 0x637984d4, - 0x64dd8950, 0x6639b03b, - 0x678dde6e, 0x68d9f964, 0x6a1de737, 0x6b598ea3, 0x6c8cd70b, 0x6db7a87a, - 0x6ed9eba1, 0x6ff389df, - 0x71046d3e, 0x720c8075, 0x730baeed, 0x7401e4c1, 0x74ef0ebc, 0x75d31a61, - 0x76adf5e6, 0x777f903c, - 0x7847d909, 0x7906c0b0, 0x79bc384d, 0x7a6831ba, 0x7b0a9f8d, 0x7ba3751d, - 0x7c32a67e, 0x7cb82885, - 0x7d33f0ca, 0x7da5f5a5, 0x7e0e2e32, 0x7e6c9251, 0x7ec11aa5, 0x7f0bc097, - 0x7f4c7e54, 0x7f834ed0, - 0x7fb02dc6, 0x7fd317b4, 0x7fec09e3, 0x7ffb0260, 0x7fffffff, 0x7ffb0260, - 0x7fec09e3, 0x7fd317b4, - 0x7fb02dc6, 0x7f834ed0, 0x7f4c7e54, 0x7f0bc097, 0x7ec11aa5, 0x7e6c9251, - 0x7e0e2e32, 0x7da5f5a5, - 0x7d33f0ca, 0x7cb82885, 0x7c32a67e, 0x7ba3751d, 0x7b0a9f8d, 0x7a6831ba, - 0x79bc384d, 0x7906c0b0, - 0x7847d909, 0x777f903c, 0x76adf5e6, 0x75d31a61, 0x74ef0ebc, 0x7401e4c1, - 0x730baeed, 0x720c8075, - 0x71046d3e, 0x6ff389df, 0x6ed9eba1, 0x6db7a87a, 0x6c8cd70b, 0x6b598ea3, - 0x6a1de737, 0x68d9f964, - 0x678dde6e, 0x6639b03b, 0x64dd8950, 0x637984d4, 0x620dbe8b, 0x609a52d3, - 0x5f1f5ea1, 0x5d9cff83, - 0x5c13539b, 0x5a82799a, 0x58ea90c4, 0x574bb8e6, 0x55a6125c, 0x53f9be05, - 0x5246dd49, 0x508d9211, - 0x4ecdfec7, 0x4d084651, 0x4b3c8c12, 0x496af3e2, 0x4793a210, 0x45b6bb5e, - 0x43d464fb, 0x41ecc484, - 0x40000000, 0x3e0e3ddc, 0x3c17a4e8, 0x3a1c5c57, 0x381c8bb5, 0x36185aee, - 0x340ff242, 0x32037a45, - 0x2ff31bde, 0x2ddf0040, 0x2bc750e9, 0x29ac37a0, 0x278dde6e, 0x256c6f9f, - 0x234815ba, 0x2120fb83, - 0x1ef74bf3, 0x1ccb3237, 0x1a9cd9ac, 0x186c6ddd, 0x163a1a7e, 0x14060b68, - 0x11d06c97, 0xf996a26, - 0xd61304e, 0xb27eb5c, 0x8edc7b7, 0x6b2f1d2, 0x4779632, 0x23be165, 0x0, - 0xfdc41e9b, - 0xfb8869ce, 0xf94d0e2e, 0xf7123849, 0xf4d814a4, 0xf29ecfb2, 0xf06695da, - 0xee2f9369, 0xebf9f498, - 0xe9c5e582, 0xe7939223, 0xe5632654, 0xe334cdc9, 0xe108b40d, 0xdedf047d, - 0xdcb7ea46, 0xda939061, - 0xd8722192, 0xd653c860, 0xd438af17, 0xd220ffc0, 0xd00ce422, 0xcdfc85bb, - 0xcbf00dbe, 0xc9e7a512, - 0xc7e3744b, 0xc5e3a3a9, 0xc3e85b18, 0xc1f1c224, 0xc0000000, 0xbe133b7c, - 0xbc2b9b05, 0xba4944a2, - 0xb86c5df0, 0xb6950c1e, 0xb4c373ee, 0xb2f7b9af, 0xb1320139, 0xaf726def, - 0xadb922b7, 0xac0641fb, - 0xaa59eda4, 0xa8b4471a, 0xa7156f3c, 0xa57d8666, 0xa3ecac65, 0xa263007d, - 0xa0e0a15f, 0x9f65ad2d, - 0x9df24175, 0x9c867b2c, 0x9b2276b0, 0x99c64fc5, 0x98722192, 0x9726069c, - 0x95e218c9, 0x94a6715d, - 0x937328f5, 0x92485786, 0x9126145f, 0x900c7621, 0x8efb92c2, 0x8df37f8b, - 0x8cf45113, 0x8bfe1b3f, - 0x8b10f144, 0x8a2ce59f, 0x89520a1a, 0x88806fc4, 0x87b826f7, 0x86f93f50, - 0x8643c7b3, 0x8597ce46, - 0x84f56073, 0x845c8ae3, 0x83cd5982, 0x8347d77b, 0x82cc0f36, 0x825a0a5b, - 0x81f1d1ce, 0x81936daf, - 0x813ee55b, 0x80f43f69, 0x80b381ac, 0x807cb130, 0x804fd23a, 0x802ce84c, - 0x8013f61d, 0x8004fda0, - -}; - - -/** - * @brief Q31 sin_cos function. - * @param[in] theta scaled input value in degrees - * @param[out] *pSinVal points to the processed sine output. - * @param[out] *pCosVal points to the processed cosine output. - * @return none. - * - * The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179]. - * - */ - - -void arm_sin_cos_q31( - q31_t theta, - q31_t * pSinVal, - q31_t * pCosVal) -{ - q31_t x0; /* Nearest input value */ - q31_t y0, y1; /* Nearest output values */ - q31_t xSpacing = INPUT_SPACING; /* Spaing between inputs */ - uint32_t i; /* Index */ - q31_t oneByXSpacing; /* 1/ xSpacing value */ - q31_t out; /* temporary variable */ - uint32_t sign_bits; /* No.of sign bits */ - uint32_t firstX = 0x80000000; /* First X value */ - - /* Calculation of index */ - i = ((uint32_t) theta - firstX) / (uint32_t) xSpacing; - - /* Checking min and max index of table */ - if(i >= 359) - { - i = 358; - } - - /* Calculation of first nearest input value */ - x0 = (q31_t) firstX + ((q31_t) i * xSpacing); - - /* Reading nearest sine output values from table */ - y0 = sinTableQ31[i]; - y1 = sinTableQ31[i + 1u]; - - /* Calculation of 1/(x1-x0) */ - /* (x1-x0) is xSpacing which is fixed value */ - sign_bits = 8u; - oneByXSpacing = 0x5A000000; - - /* Calculation of (theta - x0)/(x1-x0) */ - out = - (((q31_t) (((q63_t) (theta - x0) * oneByXSpacing) >> 32)) << sign_bits); - - /* Calculation of y0 + (y1 - y0) * ((theta - x0)/(x1-x0)) */ - *pSinVal = __QADD(y0, ((q31_t) (((q63_t) (y1 - y0) * out) >> 30))); - - /* Reading nearest cosine output values from table */ - y0 = cosTableQ31[i]; - y1 = cosTableQ31[i + 1u]; - - /* Calculation of y0 + (y1 - y0) * ((theta - x0)/(x1-x0)) */ - *pCosVal = __QADD(y0, ((q31_t) (((q63_t) (y1 - y0) * out) >> 30))); - -} - -/** - * @} end of SinCos group - */
--- a/cmsis_dsp/FastMathFunctions/arm_cos_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,290 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cos_f32.c -* -* Description: Fast cosine calculation for floating-point values. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" -/** - * @ingroup groupFastMath - */ - -/** - * @defgroup cos Cosine - * - * Computes the trigonometric cosine function using a combination of table lookup - * and cubic interpolation. There are separate functions for - * Q15, Q31, and floating-point data types. - * The input to the floating-point version is in radians while the - * fixed-point Q15 and Q31 have a scaled input with the range - * [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a - * value of 2*pi wraps around to 0. - * - * The implementation is based on table lookup using 256 values together with cubic interpolation. - * The steps used are: - * -# Calculation of the nearest integer table index - * -# Fetch the four table values a, b, c, and d - * -# Compute the fractional portion (fract) of the table index. - * -# Calculation of wa, wb, wc, wd - * -# The final result equals <code>a*wa + b*wb + c*wc + d*wd</code> - * - * where - * <pre> - * a=Table[index-1]; - * b=Table[index+0]; - * c=Table[index+1]; - * d=Table[index+2]; - * </pre> - * and - * <pre> - * wa=-(1/6)*fract.^3 + (1/2)*fract.^2 - (1/3)*fract; - * wb=(1/2)*fract.^3 - fract.^2 - (1/2)*fract + 1; - * wc=-(1/2)*fract.^3+(1/2)*fract.^2+fract; - * wd=(1/6)*fract.^3 - (1/6)*fract; - * </pre> - */ - - /** - * @addtogroup cos - * @{ - */ - - -/** -* \par -* <b>Example code for Generation of Cos Table:</b> -* <pre> -* tableSize = 256; -* for(n = -1; n < (tableSize + 2); n++) -* { -* cosTable[n+1]= cos(2*pi*n/tableSize); -* } </pre> -* where pi value is 3.14159265358979 -*/ - -static const float32_t cosTable[260] = { - 0.999698817729949950f, 1.000000000000000000f, 0.999698817729949950f, - 0.998795449733734130f, 0.997290432453155520f, 0.995184719562530520f, - 0.992479562759399410f, 0.989176511764526370f, - 0.985277652740478520f, 0.980785250663757320f, 0.975702106952667240f, - 0.970031261444091800f, 0.963776051998138430f, 0.956940352916717530f, - 0.949528157711029050f, 0.941544055938720700f, - 0.932992815971374510f, 0.923879504203796390f, 0.914209783077239990f, - 0.903989315032958980f, 0.893224298954010010f, 0.881921291351318360f, - 0.870086967945098880f, 0.857728600502014160f, - 0.844853579998016360f, 0.831469595432281490f, 0.817584812641143800f, - 0.803207516670227050f, 0.788346409797668460f, 0.773010432720184330f, - 0.757208824157714840f, 0.740951120853424070f, - 0.724247097969055180f, 0.707106769084930420f, 0.689540565013885500f, - 0.671558976173400880f, 0.653172850608825680f, 0.634393274784088130f, - 0.615231573581695560f, 0.595699310302734380f, - 0.575808167457580570f, 0.555570244789123540f, 0.534997642040252690f, - 0.514102756977081300f, 0.492898195981979370f, 0.471396744251251220f, - 0.449611335992813110f, 0.427555084228515630f, - 0.405241310596466060f, 0.382683426141738890f, 0.359895050525665280f, - 0.336889863014221190f, 0.313681751489639280f, 0.290284663438797000f, - 0.266712754964828490f, 0.242980182170867920f, - 0.219101235270500180f, 0.195090323686599730f, 0.170961886644363400f, - 0.146730467677116390f, 0.122410677373409270f, 0.098017141222953796f, - 0.073564566671848297f, 0.049067676067352295f, - 0.024541229009628296f, 0.000000000000000061f, -0.024541229009628296f, - -0.049067676067352295f, -0.073564566671848297f, -0.098017141222953796f, - -0.122410677373409270f, -0.146730467677116390f, - -0.170961886644363400f, -0.195090323686599730f, -0.219101235270500180f, - -0.242980182170867920f, -0.266712754964828490f, -0.290284663438797000f, - -0.313681751489639280f, -0.336889863014221190f, - -0.359895050525665280f, -0.382683426141738890f, -0.405241310596466060f, - -0.427555084228515630f, -0.449611335992813110f, -0.471396744251251220f, - -0.492898195981979370f, -0.514102756977081300f, - -0.534997642040252690f, -0.555570244789123540f, -0.575808167457580570f, - -0.595699310302734380f, -0.615231573581695560f, -0.634393274784088130f, - -0.653172850608825680f, -0.671558976173400880f, - -0.689540565013885500f, -0.707106769084930420f, -0.724247097969055180f, - -0.740951120853424070f, -0.757208824157714840f, -0.773010432720184330f, - -0.788346409797668460f, -0.803207516670227050f, - -0.817584812641143800f, -0.831469595432281490f, -0.844853579998016360f, - -0.857728600502014160f, -0.870086967945098880f, -0.881921291351318360f, - -0.893224298954010010f, -0.903989315032958980f, - -0.914209783077239990f, -0.923879504203796390f, -0.932992815971374510f, - -0.941544055938720700f, -0.949528157711029050f, -0.956940352916717530f, - -0.963776051998138430f, -0.970031261444091800f, - -0.975702106952667240f, -0.980785250663757320f, -0.985277652740478520f, - -0.989176511764526370f, -0.992479562759399410f, -0.995184719562530520f, - -0.997290432453155520f, -0.998795449733734130f, - -0.999698817729949950f, -1.000000000000000000f, -0.999698817729949950f, - -0.998795449733734130f, -0.997290432453155520f, -0.995184719562530520f, - -0.992479562759399410f, -0.989176511764526370f, - -0.985277652740478520f, -0.980785250663757320f, -0.975702106952667240f, - -0.970031261444091800f, -0.963776051998138430f, -0.956940352916717530f, - -0.949528157711029050f, -0.941544055938720700f, - -0.932992815971374510f, -0.923879504203796390f, -0.914209783077239990f, - -0.903989315032958980f, -0.893224298954010010f, -0.881921291351318360f, - -0.870086967945098880f, -0.857728600502014160f, - -0.844853579998016360f, -0.831469595432281490f, -0.817584812641143800f, - -0.803207516670227050f, -0.788346409797668460f, -0.773010432720184330f, - -0.757208824157714840f, -0.740951120853424070f, - -0.724247097969055180f, -0.707106769084930420f, -0.689540565013885500f, - -0.671558976173400880f, -0.653172850608825680f, -0.634393274784088130f, - -0.615231573581695560f, -0.595699310302734380f, - -0.575808167457580570f, -0.555570244789123540f, -0.534997642040252690f, - -0.514102756977081300f, -0.492898195981979370f, -0.471396744251251220f, - -0.449611335992813110f, -0.427555084228515630f, - -0.405241310596466060f, -0.382683426141738890f, -0.359895050525665280f, - -0.336889863014221190f, -0.313681751489639280f, -0.290284663438797000f, - -0.266712754964828490f, -0.242980182170867920f, - -0.219101235270500180f, -0.195090323686599730f, -0.170961886644363400f, - -0.146730467677116390f, -0.122410677373409270f, -0.098017141222953796f, - -0.073564566671848297f, -0.049067676067352295f, - -0.024541229009628296f, -0.000000000000000184f, 0.024541229009628296f, - 0.049067676067352295f, 0.073564566671848297f, 0.098017141222953796f, - 0.122410677373409270f, 0.146730467677116390f, - 0.170961886644363400f, 0.195090323686599730f, 0.219101235270500180f, - 0.242980182170867920f, 0.266712754964828490f, 0.290284663438797000f, - 0.313681751489639280f, 0.336889863014221190f, - 0.359895050525665280f, 0.382683426141738890f, 0.405241310596466060f, - 0.427555084228515630f, 0.449611335992813110f, 0.471396744251251220f, - 0.492898195981979370f, 0.514102756977081300f, - 0.534997642040252690f, 0.555570244789123540f, 0.575808167457580570f, - 0.595699310302734380f, 0.615231573581695560f, 0.634393274784088130f, - 0.653172850608825680f, 0.671558976173400880f, - 0.689540565013885500f, 0.707106769084930420f, 0.724247097969055180f, - 0.740951120853424070f, 0.757208824157714840f, 0.773010432720184330f, - 0.788346409797668460f, 0.803207516670227050f, - 0.817584812641143800f, 0.831469595432281490f, 0.844853579998016360f, - 0.857728600502014160f, 0.870086967945098880f, 0.881921291351318360f, - 0.893224298954010010f, 0.903989315032958980f, - 0.914209783077239990f, 0.923879504203796390f, 0.932992815971374510f, - 0.941544055938720700f, 0.949528157711029050f, 0.956940352916717530f, - 0.963776051998138430f, 0.970031261444091800f, - 0.975702106952667240f, 0.980785250663757320f, 0.985277652740478520f, - 0.989176511764526370f, 0.992479562759399410f, 0.995184719562530520f, - 0.997290432453155520f, 0.998795449733734130f, - 0.999698817729949950f, 1.000000000000000000f, 0.999698817729949950f, - 0.998795449733734130f -}; - -/** - * @brief Fast approximation to the trigonometric cosine function for floating-point data. - * @param[in] x input value in radians. - * @return cos(x). - */ - - -float32_t arm_cos_f32( - float32_t x) -{ - float32_t cosVal, fract, in; - int32_t index; - uint32_t tableSize = (uint32_t) TABLE_SIZE; - float32_t wa, wb, wc, wd; - float32_t a, b, c, d; - float32_t *tablePtr; - int32_t n; - float32_t fractsq, fractby2, fractby6, fractby3, fractsqby2; - float32_t oneminusfractby2; - float32_t frby2xfrsq, frby6xfrsq; - - /* input x is in radians */ - /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */ - in = x * 0.159154943092f; - - /* Calculation of floor value of input */ - n = (int32_t) in; - - /* Make negative values towards -infinity */ - if(x < 0.0f) - { - n = n - 1; - } - - /* Map input value to [0 1] */ - in = in - (float32_t) n; - - /* Calculation of index of the table */ - index = (uint32_t) (tableSize * in); - - /* fractional value calculation */ - fract = ((float32_t) tableSize * in) - (float32_t) index; - - /* Checking min and max index of table */ - if(index < 0) - { - index = 0; - } - else if(index > 256) - { - index = 256; - } - - /* Initialise table pointer */ - tablePtr = (float32_t *) & cosTable[index]; - - /* Read four nearest values of input value from the cos table */ - a = tablePtr[0]; - b = tablePtr[1]; - c = tablePtr[2]; - d = tablePtr[3]; - - /* Cubic interpolation process */ - fractsq = fract * fract; - fractby2 = fract * 0.5f; - fractby6 = fract * 0.166666667f; - fractby3 = fract * 0.3333333333333f; - fractsqby2 = fractsq * 0.5f; - frby2xfrsq = (fractby2) * fractsq; - frby6xfrsq = (fractby6) * fractsq; - oneminusfractby2 = 1.0f - fractby2; - wb = fractsqby2 - fractby3; - wc = (fractsqby2 + fract); - wa = wb - frby6xfrsq; - wb = frby2xfrsq - fractsq; - cosVal = wa * a; - wc = wc - frby2xfrsq; - wd = (frby6xfrsq) - fractby6; - wb = wb + oneminusfractby2; - - /* Calculate cos value */ - cosVal = (cosVal + (b * wb)) + ((c * wc) + (d * wd)); - - /* Return the output value */ - return (cosVal); - -} - -/** - * @} end of cos group - */
--- a/cmsis_dsp/FastMathFunctions/arm_cos_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,214 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cos_q15.c -* -* Description: Fast cosine calculation for Q15 values. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFastMath - */ - - /** - * @addtogroup cos - * @{ - */ - -/** -* \par - * Table values are in Q15 (1.15 fixed-point format) and generation is done in - * three steps. First, generate cos values in floating point: - * <pre> - * tableSize = 256; - * for(n = -1; n < (tableSize + 1); n++) - * { - * cosTable[n+1]= cos(2*pi*n/tableSize); - * } </pre> - * where pi value is 3.14159265358979 - * \par - * Second, convert floating-point to Q15 (fixed-point): - * (cosTable[i] * pow(2, 15)) - * \par - * Finally, round to the nearest integer value: - * cosTable[i] += (cosTable[i] > 0 ? 0.5 :-0.5); -*/ - -static const q15_t cosTableQ15[259] = { - 0x7ff6, 0x7fff, 0x7ff6, 0x7fd9, 0x7fa7, 0x7f62, 0x7f0a, 0x7e9d, - 0x7e1e, 0x7d8a, 0x7ce4, 0x7c2a, 0x7b5d, 0x7a7d, 0x798a, 0x7885, - 0x776c, 0x7642, 0x7505, 0x73b6, 0x7255, 0x70e3, 0x6f5f, 0x6dca, - 0x6c24, 0x6a6e, 0x68a7, 0x66d0, 0x64e9, 0x62f2, 0x60ec, 0x5ed7, - 0x5cb4, 0x5a82, 0x5843, 0x55f6, 0x539b, 0x5134, 0x4ec0, 0x4c40, - 0x49b4, 0x471d, 0x447b, 0x41ce, 0x3f17, 0x3c57, 0x398d, 0x36ba, - 0x33df, 0x30fc, 0x2e11, 0x2b1f, 0x2827, 0x2528, 0x2224, 0x1f1a, - 0x1c0c, 0x18f9, 0x15e2, 0x12c8, 0xfab, 0xc8c, 0x96b, 0x648, - 0x324, 0x0, 0xfcdc, 0xf9b8, 0xf695, 0xf374, 0xf055, 0xed38, - 0xea1e, 0xe707, 0xe3f4, 0xe0e6, 0xdddc, 0xdad8, 0xd7d9, 0xd4e1, - 0xd1ef, 0xcf04, 0xcc21, 0xc946, 0xc673, 0xc3a9, 0xc0e9, 0xbe32, - 0xbb85, 0xb8e3, 0xb64c, 0xb3c0, 0xb140, 0xaecc, 0xac65, 0xaa0a, - 0xa7bd, 0xa57e, 0xa34c, 0xa129, 0x9f14, 0x9d0e, 0x9b17, 0x9930, - 0x9759, 0x9592, 0x93dc, 0x9236, 0x90a1, 0x8f1d, 0x8dab, 0x8c4a, - 0x8afb, 0x89be, 0x8894, 0x877b, 0x8676, 0x8583, 0x84a3, 0x83d6, - 0x831c, 0x8276, 0x81e2, 0x8163, 0x80f6, 0x809e, 0x8059, 0x8027, - 0x800a, 0x8000, 0x800a, 0x8027, 0x8059, 0x809e, 0x80f6, 0x8163, - 0x81e2, 0x8276, 0x831c, 0x83d6, 0x84a3, 0x8583, 0x8676, 0x877b, - 0x8894, 0x89be, 0x8afb, 0x8c4a, 0x8dab, 0x8f1d, 0x90a1, 0x9236, - 0x93dc, 0x9592, 0x9759, 0x9930, 0x9b17, 0x9d0e, 0x9f14, 0xa129, - 0xa34c, 0xa57e, 0xa7bd, 0xaa0a, 0xac65, 0xaecc, 0xb140, 0xb3c0, - 0xb64c, 0xb8e3, 0xbb85, 0xbe32, 0xc0e9, 0xc3a9, 0xc673, 0xc946, - 0xcc21, 0xcf04, 0xd1ef, 0xd4e1, 0xd7d9, 0xdad8, 0xdddc, 0xe0e6, - 0xe3f4, 0xe707, 0xea1e, 0xed38, 0xf055, 0xf374, 0xf695, 0xf9b8, - 0xfcdc, 0x0, 0x324, 0x648, 0x96b, 0xc8c, 0xfab, 0x12c8, - 0x15e2, 0x18f9, 0x1c0c, 0x1f1a, 0x2224, 0x2528, 0x2827, 0x2b1f, - 0x2e11, 0x30fc, 0x33df, 0x36ba, 0x398d, 0x3c57, 0x3f17, 0x41ce, - 0x447b, 0x471d, 0x49b4, 0x4c40, 0x4ec0, 0x5134, 0x539b, 0x55f6, - 0x5843, 0x5a82, 0x5cb4, 0x5ed7, 0x60ec, 0x62f2, 0x64e9, 0x66d0, - 0x68a7, 0x6a6e, 0x6c24, 0x6dca, 0x6f5f, 0x70e3, 0x7255, 0x73b6, - 0x7505, 0x7642, 0x776c, 0x7885, 0x798a, 0x7a7d, 0x7b5d, 0x7c2a, - 0x7ce4, 0x7d8a, 0x7e1e, 0x7e9d, 0x7f0a, 0x7f62, 0x7fa7, 0x7fd9, - 0x7ff6, 0x7fff, 0x7ff6 -}; - - -/** - * @brief Fast approximation to the trigonometric cosine function for Q15 data. - * @param[in] x Scaled input value in radians. - * @return cos(x). - * - * The Q15 input value is in the range [0 +0.9999] and is mapped to a radian - * value in the range [0 2*pi). - */ - -q15_t arm_cos_q15( - q15_t x) -{ - q31_t cosVal; /* Temporary variable for output */ - q15_t *tablePtr; /* Pointer to table */ - q15_t in, in2; /* Temporary variables for input */ - q31_t wa, wb, wc, wd; /* Cubic interpolation coefficients */ - q15_t a, b, c, d; /* Four nearest output values */ - q15_t fract, fractCube, fractSquare; /* Variables for fractional value */ - q15_t oneBy6 = 0x1555; /* Fixed point value of 1/6 */ - q15_t tableSpacing = TABLE_SPACING_Q15; /* Table spacing */ - int32_t index; /* Index variable */ - - in = x; - - /* Calculate the nearest index */ - index = (int32_t) in / tableSpacing; - - /* Calculate the nearest value of input */ - in2 = (q15_t) index *tableSpacing; - - /* Calculation of fractional value */ - fract = (in - in2) << 8; - - /* fractSquare = fract * fract */ - fractSquare = (q15_t) ((fract * fract) >> 15); - - /* fractCube = fract * fract * fract */ - fractCube = (q15_t) ((fractSquare * fract) >> 15); - - /* Checking min and max index of table */ - if(index < 0) - { - index = 0; - } - else if(index > 256) - { - index = 256; - } - - /* Initialise table pointer */ - tablePtr = (q15_t *) & cosTableQ15[index]; - - /* Cubic interpolation process */ - /* Calculation of wa */ - /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAA)*fract; */ - wa = (q31_t) oneBy6 *fractCube; - wa += (q31_t) 0x2AAA *fract; - wa = -(wa >> 15); - wa += (fractSquare >> 1u); - - /* Read first nearest value of output from the cos table */ - a = *tablePtr++; - - /* cosVal = a * wa */ - cosVal = a * wa; - - /* Calculation of wb */ - wb = (((fractCube >> 1u) - fractSquare) - (fract >> 1u)) + 0x7FFF; - - /* Read second nearest value of output from the cos table */ - b = *tablePtr++; - - /* cosVal += b*wb */ - cosVal += b * wb; - - /* Calculation of wc */ - wc = -(q31_t) fractCube + fractSquare; - wc = (wc >> 1u) + fract; - - /* Read third nearest value of output from the cos table */ - c = *tablePtr++; - - /* cosVal += c*wc */ - cosVal += c * wc; - - /* Calculation of wd */ - /* wd = (oneBy6)*fractCube - (oneBy6)*fract; */ - fractCube = fractCube - fract; - wd = ((q15_t) (((q31_t) oneBy6 * fractCube) >> 15)); - - /* Read fourth nearest value of output from the cos table */ - d = *tablePtr++; - - /* cosVal += d*wd; */ - cosVal += d * wd; - - /* Convert output value in 1.15(q15) format and saturate */ - cosVal = __SSAT((cosVal >> 15), 16); - - /* Return the output value in 1.15(q15) format */ - return ((q15_t) cosVal); - -} - -/** - * @} end of cos group - */
--- a/cmsis_dsp/FastMathFunctions/arm_cos_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,249 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cos_q31.c -* -* Description: Fast cosine calculation for Q31 values. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFastMath - */ - - /** - * @addtogroup cos - * @{ - */ - -/** - * \par - * Table values are in Q31 (1.31 fixed-point format) and generation is done in - * three steps. First, generate cos values in floating point: - * <pre> - * tableSize = 256; - * for(n = -1; n < (tableSize + 1); n++) - * { - * cosTable[n+1]= cos(2*pi*n/tableSize); - * } </pre> - * where pi value is 3.14159265358979 - * \par - * Second, convert floating-point to Q31 (Fixed point): - * (cosTable[i] * pow(2, 31)) - * \par - * Finally, round to the nearest integer value: - * cosTable[i] += (cosTable[i] > 0 ? 0.5 :-0.5); - */ - - -static const q31_t cosTableQ31[259] = { - 0x7ff62182, 0x7fffffff, 0x7ff62182, 0x7fd8878e, 0x7fa736b4, 0x7f62368f, - 0x7f0991c4, 0x7e9d55fc, - 0x7e1d93ea, 0x7d8a5f40, 0x7ce3ceb2, 0x7c29fbee, 0x7b5d039e, 0x7a7d055b, - 0x798a23b1, 0x78848414, - 0x776c4edb, 0x7641af3d, 0x7504d345, 0x73b5ebd1, 0x72552c85, 0x70e2cbc6, - 0x6f5f02b2, 0x6dca0d14, - 0x6c242960, 0x6a6d98a4, 0x68a69e81, 0x66cf8120, 0x64e88926, 0x62f201ac, - 0x60ec3830, 0x5ed77c8a, - 0x5cb420e0, 0x5a82799a, 0x5842dd54, 0x55f5a4d2, 0x539b2af0, 0x5133cc94, - 0x4ebfe8a5, 0x4c3fdff4, - 0x49b41533, 0x471cece7, 0x447acd50, 0x41ce1e65, 0x3f1749b8, 0x3c56ba70, - 0x398cdd32, 0x36ba2014, - 0x33def287, 0x30fbc54d, 0x2e110a62, 0x2b1f34eb, 0x2826b928, 0x25280c5e, - 0x2223a4c5, 0x1f19f97b, - 0x1c0b826a, 0x18f8b83c, 0x15e21445, 0x12c8106f, 0xfab272b, 0xc8bd35e, - 0x96a9049, 0x647d97c, - 0x3242abf, 0x0, 0xfcdbd541, 0xf9b82684, 0xf6956fb7, 0xf3742ca2, 0xf054d8d5, - 0xed37ef91, - 0xea1debbb, 0xe70747c4, 0xe3f47d96, 0xe0e60685, 0xdddc5b3b, 0xdad7f3a2, - 0xd7d946d8, 0xd4e0cb15, - 0xd1eef59e, 0xcf043ab3, 0xcc210d79, 0xc945dfec, 0xc67322ce, 0xc3a94590, - 0xc0e8b648, 0xbe31e19b, - 0xbb8532b0, 0xb8e31319, 0xb64beacd, 0xb3c0200c, 0xb140175b, 0xaecc336c, - 0xac64d510, 0xaa0a5b2e, - 0xa7bd22ac, 0xa57d8666, 0xa34bdf20, 0xa1288376, 0x9f13c7d0, 0x9d0dfe54, - 0x9b1776da, 0x99307ee0, - 0x9759617f, 0x9592675c, 0x93dbd6a0, 0x9235f2ec, 0x90a0fd4e, 0x8f1d343a, - 0x8daad37b, 0x8c4a142f, - 0x8afb2cbb, 0x89be50c3, 0x8893b125, 0x877b7bec, 0x8675dc4f, 0x8582faa5, - 0x84a2fc62, 0x83d60412, - 0x831c314e, 0x8275a0c0, 0x81e26c16, 0x8162aa04, 0x80f66e3c, 0x809dc971, - 0x8058c94c, 0x80277872, - 0x8009de7e, 0x80000000, 0x8009de7e, 0x80277872, 0x8058c94c, 0x809dc971, - 0x80f66e3c, 0x8162aa04, - 0x81e26c16, 0x8275a0c0, 0x831c314e, 0x83d60412, 0x84a2fc62, 0x8582faa5, - 0x8675dc4f, 0x877b7bec, - 0x8893b125, 0x89be50c3, 0x8afb2cbb, 0x8c4a142f, 0x8daad37b, 0x8f1d343a, - 0x90a0fd4e, 0x9235f2ec, - 0x93dbd6a0, 0x9592675c, 0x9759617f, 0x99307ee0, 0x9b1776da, 0x9d0dfe54, - 0x9f13c7d0, 0xa1288376, - 0xa34bdf20, 0xa57d8666, 0xa7bd22ac, 0xaa0a5b2e, 0xac64d510, 0xaecc336c, - 0xb140175b, 0xb3c0200c, - 0xb64beacd, 0xb8e31319, 0xbb8532b0, 0xbe31e19b, 0xc0e8b648, 0xc3a94590, - 0xc67322ce, 0xc945dfec, - 0xcc210d79, 0xcf043ab3, 0xd1eef59e, 0xd4e0cb15, 0xd7d946d8, 0xdad7f3a2, - 0xdddc5b3b, 0xe0e60685, - 0xe3f47d96, 0xe70747c4, 0xea1debbb, 0xed37ef91, 0xf054d8d5, 0xf3742ca2, - 0xf6956fb7, 0xf9b82684, - 0xfcdbd541, 0x0, 0x3242abf, 0x647d97c, 0x96a9049, 0xc8bd35e, 0xfab272b, - 0x12c8106f, - 0x15e21445, 0x18f8b83c, 0x1c0b826a, 0x1f19f97b, 0x2223a4c5, 0x25280c5e, - 0x2826b928, 0x2b1f34eb, - 0x2e110a62, 0x30fbc54d, 0x33def287, 0x36ba2014, 0x398cdd32, 0x3c56ba70, - 0x3f1749b8, 0x41ce1e65, - 0x447acd50, 0x471cece7, 0x49b41533, 0x4c3fdff4, 0x4ebfe8a5, 0x5133cc94, - 0x539b2af0, 0x55f5a4d2, - 0x5842dd54, 0x5a82799a, 0x5cb420e0, 0x5ed77c8a, 0x60ec3830, 0x62f201ac, - 0x64e88926, 0x66cf8120, - 0x68a69e81, 0x6a6d98a4, 0x6c242960, 0x6dca0d14, 0x6f5f02b2, 0x70e2cbc6, - 0x72552c85, 0x73b5ebd1, - 0x7504d345, 0x7641af3d, 0x776c4edb, 0x78848414, 0x798a23b1, 0x7a7d055b, - 0x7b5d039e, 0x7c29fbee, - 0x7ce3ceb2, 0x7d8a5f40, 0x7e1d93ea, 0x7e9d55fc, 0x7f0991c4, 0x7f62368f, - 0x7fa736b4, 0x7fd8878e, - 0x7ff62182, 0x7fffffff, 0x7ff62182 -}; - -/** - * @brief Fast approximation to the trigonometric cosine function for Q31 data. - * @param[in] x Scaled input value in radians. - * @return cos(x). - * - * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian - * value in the range [0 2*pi). - */ - -q31_t arm_cos_q31( - q31_t x) -{ - q31_t cosVal, in, in2; /* Temporary variables for input, output */ - q31_t wa, wb, wc, wd; /* Cubic interpolation coefficients */ - q31_t a, b, c, d; /* Four nearest output values */ - q31_t *tablePtr; /* Pointer to table */ - q31_t fract, fractCube, fractSquare; /* Temporary values for fractional values */ - q31_t oneBy6 = 0x15555555; /* Fixed point value of 1/6 */ - q31_t tableSpacing = TABLE_SPACING_Q31; /* Table spacing */ - q31_t temp; /* Temporary variable for intermediate process */ - int32_t index; /* Index variable */ - - in = x; - - /* Calculate the nearest index */ - index = in / tableSpacing; - - /* Calculate the nearest value of input */ - in2 = ((q31_t) index) * tableSpacing; - - /* Calculation of fractional value */ - fract = (in - in2) << 8; - - /* fractSquare = fract * fract */ - fractSquare = ((q31_t) (((q63_t) fract * fract) >> 32)); - fractSquare = fractSquare << 1; - - /* fractCube = fract * fract * fract */ - fractCube = ((q31_t) (((q63_t) fractSquare * fract) >> 32)); - fractCube = fractCube << 1; - - /* Checking min and max index of table */ - if(index < 0) - { - index = 0; - } - else if(index > 256) - { - index = 256; - } - - /* Initialise table pointer */ - tablePtr = (q31_t *) & cosTableQ31[index]; - - /* Cubic interpolation process */ - /* Calculation of wa */ - /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAAAAAA)*fract; */ - wa = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32)); - temp = 0x2AAAAAAA; - wa = (q31_t) ((((q63_t) wa << 32) + ((q63_t) temp * fract)) >> 32); - wa = -(wa << 1u); - wa += (fractSquare >> 1u); - - /* Read first nearest value of output from the cos table */ - a = *tablePtr++; - - /* cosVal = a*wa */ - cosVal = ((q31_t) (((q63_t) a * wa) >> 32)); - - /* q31(1.31) Fixed point value of 1 */ - temp = 0x7FFFFFFF; - - /* Calculation of wb */ - wb = ((fractCube >> 1u) - (fractSquare + (fract >> 1u))) + temp; - /* Read second nearest value of output from the cos table */ - b = *tablePtr++; - - /* cosVal += b*wb */ - cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) b * (wb))) >> 32); - - /* Calculation of wc */ - wc = -fractCube + fractSquare; - wc = (wc >> 1u) + fract; - /* Read third nearest values of output value from the cos table */ - c = *tablePtr++; - - /* cosVal += c*wc */ - cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) c * (wc))) >> 32); - - /* Calculation of wd */ - /* wd = (oneBy6)*fractCube - (oneBy6)*fract; */ - fractCube = fractCube - fract; - wd = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32)); - wd = (wd << 1u); - - /* Read fourth nearest value of output from the cos table */ - d = *tablePtr++; - - /* cosVal += d*wd; */ - cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) d * (wd))) >> 32); - - - /* convert cosVal in 2.30 format to 1.31 format */ - return (__QADD(cosVal, cosVal)); - -} - -/** - * @} end of cos group - */
--- a/cmsis_dsp/FastMathFunctions/arm_sin_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,291 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_sin_f32.c -* -* Description: Fast sine calculation for floating-point values. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFastMath - */ - -/** - * @defgroup sin Sine - * - * Computes the trigonometric sine function using a combination of table lookup - * and cubic interpolation. There are separate functions for - * Q15, Q31, and floating-point data types. - * The input to the floating-point version is in radians while the - * fixed-point Q15 and Q31 have a scaled input with the range - * [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a - * value of 2*pi wraps around to 0. - * - * The implementation is based on table lookup using 256 values together with cubic interpolation. - * The steps used are: - * -# Calculation of the nearest integer table index - * -# Fetch the four table values a, b, c, and d - * -# Compute the fractional portion (fract) of the table index. - * -# Calculation of wa, wb, wc, wd - * -# The final result equals <code>a*wa + b*wb + c*wc + d*wd</code> - * - * where - * <pre> - * a=Table[index-1]; - * b=Table[index+0]; - * c=Table[index+1]; - * d=Table[index+2]; - * </pre> - * and - * <pre> - * wa=-(1/6)*fract.^3 + (1/2)*fract.^2 - (1/3)*fract; - * wb=(1/2)*fract.^3 - fract.^2 - (1/2)*fract + 1; - * wc=-(1/2)*fract.^3+(1/2)*fract.^2+fract; - * wd=(1/6)*fract.^3 - (1/6)*fract; - * </pre> - */ - -/** - * @addtogroup sin - * @{ - */ - - -/** - * \par - * Example code for the generation of the floating-point sine table: - * <pre> - * tableSize = 256; - * for(n = -1; n < (tableSize + 1); n++) - * { - * sinTable[n+1]=sin(2*pi*n/tableSize); - * }</pre> - * \par - * where pi value is 3.14159265358979 - */ - -static const float32_t sinTable[259] = { - -0.024541229009628296f, 0.000000000000000000f, 0.024541229009628296f, - 0.049067676067352295f, 0.073564566671848297f, 0.098017141222953796f, - 0.122410677373409270f, 0.146730467677116390f, - 0.170961886644363400f, 0.195090323686599730f, 0.219101235270500180f, - 0.242980182170867920f, 0.266712754964828490f, 0.290284663438797000f, - 0.313681751489639280f, 0.336889863014221190f, - 0.359895050525665280f, 0.382683426141738890f, 0.405241310596466060f, - 0.427555084228515630f, 0.449611335992813110f, 0.471396744251251220f, - 0.492898195981979370f, 0.514102756977081300f, - 0.534997642040252690f, 0.555570244789123540f, 0.575808167457580570f, - 0.595699310302734380f, 0.615231573581695560f, 0.634393274784088130f, - 0.653172850608825680f, 0.671558976173400880f, - 0.689540565013885500f, 0.707106769084930420f, 0.724247097969055180f, - 0.740951120853424070f, 0.757208824157714840f, 0.773010432720184330f, - 0.788346409797668460f, 0.803207516670227050f, - 0.817584812641143800f, 0.831469595432281490f, 0.844853579998016360f, - 0.857728600502014160f, 0.870086967945098880f, 0.881921291351318360f, - 0.893224298954010010f, 0.903989315032958980f, - 0.914209783077239990f, 0.923879504203796390f, 0.932992815971374510f, - 0.941544055938720700f, 0.949528157711029050f, 0.956940352916717530f, - 0.963776051998138430f, 0.970031261444091800f, - 0.975702106952667240f, 0.980785250663757320f, 0.985277652740478520f, - 0.989176511764526370f, 0.992479562759399410f, 0.995184719562530520f, - 0.997290432453155520f, 0.998795449733734130f, - 0.999698817729949950f, 1.000000000000000000f, 0.999698817729949950f, - 0.998795449733734130f, 0.997290432453155520f, 0.995184719562530520f, - 0.992479562759399410f, 0.989176511764526370f, - 0.985277652740478520f, 0.980785250663757320f, 0.975702106952667240f, - 0.970031261444091800f, 0.963776051998138430f, 0.956940352916717530f, - 0.949528157711029050f, 0.941544055938720700f, - 0.932992815971374510f, 0.923879504203796390f, 0.914209783077239990f, - 0.903989315032958980f, 0.893224298954010010f, 0.881921291351318360f, - 0.870086967945098880f, 0.857728600502014160f, - 0.844853579998016360f, 0.831469595432281490f, 0.817584812641143800f, - 0.803207516670227050f, 0.788346409797668460f, 0.773010432720184330f, - 0.757208824157714840f, 0.740951120853424070f, - 0.724247097969055180f, 0.707106769084930420f, 0.689540565013885500f, - 0.671558976173400880f, 0.653172850608825680f, 0.634393274784088130f, - 0.615231573581695560f, 0.595699310302734380f, - 0.575808167457580570f, 0.555570244789123540f, 0.534997642040252690f, - 0.514102756977081300f, 0.492898195981979370f, 0.471396744251251220f, - 0.449611335992813110f, 0.427555084228515630f, - 0.405241310596466060f, 0.382683426141738890f, 0.359895050525665280f, - 0.336889863014221190f, 0.313681751489639280f, 0.290284663438797000f, - 0.266712754964828490f, 0.242980182170867920f, - 0.219101235270500180f, 0.195090323686599730f, 0.170961886644363400f, - 0.146730467677116390f, 0.122410677373409270f, 0.098017141222953796f, - 0.073564566671848297f, 0.049067676067352295f, - 0.024541229009628296f, 0.000000000000000122f, -0.024541229009628296f, - -0.049067676067352295f, -0.073564566671848297f, -0.098017141222953796f, - -0.122410677373409270f, -0.146730467677116390f, - -0.170961886644363400f, -0.195090323686599730f, -0.219101235270500180f, - -0.242980182170867920f, -0.266712754964828490f, -0.290284663438797000f, - -0.313681751489639280f, -0.336889863014221190f, - -0.359895050525665280f, -0.382683426141738890f, -0.405241310596466060f, - -0.427555084228515630f, -0.449611335992813110f, -0.471396744251251220f, - -0.492898195981979370f, -0.514102756977081300f, - -0.534997642040252690f, -0.555570244789123540f, -0.575808167457580570f, - -0.595699310302734380f, -0.615231573581695560f, -0.634393274784088130f, - -0.653172850608825680f, -0.671558976173400880f, - -0.689540565013885500f, -0.707106769084930420f, -0.724247097969055180f, - -0.740951120853424070f, -0.757208824157714840f, -0.773010432720184330f, - -0.788346409797668460f, -0.803207516670227050f, - -0.817584812641143800f, -0.831469595432281490f, -0.844853579998016360f, - -0.857728600502014160f, -0.870086967945098880f, -0.881921291351318360f, - -0.893224298954010010f, -0.903989315032958980f, - -0.914209783077239990f, -0.923879504203796390f, -0.932992815971374510f, - -0.941544055938720700f, -0.949528157711029050f, -0.956940352916717530f, - -0.963776051998138430f, -0.970031261444091800f, - -0.975702106952667240f, -0.980785250663757320f, -0.985277652740478520f, - -0.989176511764526370f, -0.992479562759399410f, -0.995184719562530520f, - -0.997290432453155520f, -0.998795449733734130f, - -0.999698817729949950f, -1.000000000000000000f, -0.999698817729949950f, - -0.998795449733734130f, -0.997290432453155520f, -0.995184719562530520f, - -0.992479562759399410f, -0.989176511764526370f, - -0.985277652740478520f, -0.980785250663757320f, -0.975702106952667240f, - -0.970031261444091800f, -0.963776051998138430f, -0.956940352916717530f, - -0.949528157711029050f, -0.941544055938720700f, - -0.932992815971374510f, -0.923879504203796390f, -0.914209783077239990f, - -0.903989315032958980f, -0.893224298954010010f, -0.881921291351318360f, - -0.870086967945098880f, -0.857728600502014160f, - -0.844853579998016360f, -0.831469595432281490f, -0.817584812641143800f, - -0.803207516670227050f, -0.788346409797668460f, -0.773010432720184330f, - -0.757208824157714840f, -0.740951120853424070f, - -0.724247097969055180f, -0.707106769084930420f, -0.689540565013885500f, - -0.671558976173400880f, -0.653172850608825680f, -0.634393274784088130f, - -0.615231573581695560f, -0.595699310302734380f, - -0.575808167457580570f, -0.555570244789123540f, -0.534997642040252690f, - -0.514102756977081300f, -0.492898195981979370f, -0.471396744251251220f, - -0.449611335992813110f, -0.427555084228515630f, - -0.405241310596466060f, -0.382683426141738890f, -0.359895050525665280f, - -0.336889863014221190f, -0.313681751489639280f, -0.290284663438797000f, - -0.266712754964828490f, -0.242980182170867920f, - -0.219101235270500180f, -0.195090323686599730f, -0.170961886644363400f, - -0.146730467677116390f, -0.122410677373409270f, -0.098017141222953796f, - -0.073564566671848297f, -0.049067676067352295f, - -0.024541229009628296f, -0.000000000000000245f, 0.024541229009628296f -}; - - -/** - * @brief Fast approximation to the trigonometric sine function for floating-point data. - * @param[in] x input value in radians. - * @return sin(x). - */ - -float32_t arm_sin_f32( - float32_t x) -{ - float32_t sinVal, fract, in; /* Temporary variables for input, output */ - int32_t index; /* Index variable */ - uint32_t tableSize = (uint32_t) TABLE_SIZE; /* Initialise tablesize */ - float32_t wa, wb, wc, wd; /* Cubic interpolation coefficients */ - float32_t a, b, c, d; /* Four nearest output values */ - float32_t *tablePtr; /* Pointer to table */ - int32_t n; - float32_t fractsq, fractby2, fractby6, fractby3, fractsqby2; - float32_t oneminusfractby2; - float32_t frby2xfrsq, frby6xfrsq; - - /* input x is in radians */ - /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */ - in = x * 0.159154943092f; - - /* Calculation of floor value of input */ - n = (int32_t) in; - - /* Make negative values towards -infinity */ - if(x < 0.0f) - { - n = n - 1; - } - - /* Map input value to [0 1] */ - in = in - (float32_t) n; - - /* Calculation of index of the table */ - index = (uint32_t) (tableSize * in); - - /* fractional value calculation */ - fract = ((float32_t) tableSize * in) - (float32_t) index; - - /* Checking min and max index of table */ - if(index < 0) - { - index = 0; - } - else if(index > 256) - { - index = 256; - } - - /* Initialise table pointer */ - tablePtr = (float32_t *) & sinTable[index]; - - /* Read four nearest values of input value from the sin table */ - a = tablePtr[0]; - b = tablePtr[1]; - c = tablePtr[2]; - d = tablePtr[3]; - - /* Cubic interpolation process */ - fractsq = fract * fract; - fractby2 = fract * 0.5f; - fractby6 = fract * 0.166666667f; - fractby3 = fract * 0.3333333333333f; - fractsqby2 = fractsq * 0.5f; - frby2xfrsq = (fractby2) * fractsq; - frby6xfrsq = (fractby6) * fractsq; - oneminusfractby2 = 1.0f - fractby2; - wb = fractsqby2 - fractby3; - wc = (fractsqby2 + fract); - wa = wb - frby6xfrsq; - wb = frby2xfrsq - fractsq; - sinVal = wa * a; - wc = wc - frby2xfrsq; - wd = (frby6xfrsq) - fractby6; - wb = wb + oneminusfractby2; - - /* Calculate sin value */ - sinVal = (sinVal + (b * wb)) + ((c * wc) + (d * wd)); - - /* Return the output value */ - return (sinVal); - -} - -/** - * @} end of sin group - */
--- a/cmsis_dsp/FastMathFunctions/arm_sin_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,216 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_sin_q15.c -* -* Description: Fast sine calculation for Q15 values. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFastMath - */ - - /** - * @addtogroup sin - * @{ - */ - - -/** -* \par - * Table values are in Q15 (1.15 fixed-point format) and generation is done in - * three steps. First, generate sin values in floating point: - * <pre> - * tableSize = 256; - * for(n = -1; n < (tableSize + 1); n++) - * { - * sinTable[n+1]= sin(2*pi*n/tableSize); - * } </pre> - * where pi value is 3.14159265358979 - * \par - * Second, convert floating-point to Q15 (fixed-point): - * (sinTable[i] * pow(2, 15)) - * \par - * Finally, round to the nearest integer value: - * sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5); -*/ - -static const q15_t sinTableQ15[259] = { - 0xfcdc, 0x0, 0x324, 0x648, 0x96b, 0xc8c, 0xfab, 0x12c8, - 0x15e2, 0x18f9, 0x1c0c, 0x1f1a, 0x2224, 0x2528, 0x2827, 0x2b1f, - 0x2e11, 0x30fc, 0x33df, 0x36ba, 0x398d, 0x3c57, 0x3f17, 0x41ce, - 0x447b, 0x471d, 0x49b4, 0x4c40, 0x4ec0, 0x5134, 0x539b, 0x55f6, - 0x5843, 0x5a82, 0x5cb4, 0x5ed7, 0x60ec, 0x62f2, 0x64e9, 0x66d0, - 0x68a7, 0x6a6e, 0x6c24, 0x6dca, 0x6f5f, 0x70e3, 0x7255, 0x73b6, - 0x7505, 0x7642, 0x776c, 0x7885, 0x798a, 0x7a7d, 0x7b5d, 0x7c2a, - 0x7ce4, 0x7d8a, 0x7e1e, 0x7e9d, 0x7f0a, 0x7f62, 0x7fa7, 0x7fd9, - 0x7ff6, 0x7fff, 0x7ff6, 0x7fd9, 0x7fa7, 0x7f62, 0x7f0a, 0x7e9d, - 0x7e1e, 0x7d8a, 0x7ce4, 0x7c2a, 0x7b5d, 0x7a7d, 0x798a, 0x7885, - 0x776c, 0x7642, 0x7505, 0x73b6, 0x7255, 0x70e3, 0x6f5f, 0x6dca, - 0x6c24, 0x6a6e, 0x68a7, 0x66d0, 0x64e9, 0x62f2, 0x60ec, 0x5ed7, - 0x5cb4, 0x5a82, 0x5843, 0x55f6, 0x539b, 0x5134, 0x4ec0, 0x4c40, - 0x49b4, 0x471d, 0x447b, 0x41ce, 0x3f17, 0x3c57, 0x398d, 0x36ba, - 0x33df, 0x30fc, 0x2e11, 0x2b1f, 0x2827, 0x2528, 0x2224, 0x1f1a, - 0x1c0c, 0x18f9, 0x15e2, 0x12c8, 0xfab, 0xc8c, 0x96b, 0x648, - 0x324, 0x0, 0xfcdc, 0xf9b8, 0xf695, 0xf374, 0xf055, 0xed38, - 0xea1e, 0xe707, 0xe3f4, 0xe0e6, 0xdddc, 0xdad8, 0xd7d9, 0xd4e1, - 0xd1ef, 0xcf04, 0xcc21, 0xc946, 0xc673, 0xc3a9, 0xc0e9, 0xbe32, - 0xbb85, 0xb8e3, 0xb64c, 0xb3c0, 0xb140, 0xaecc, 0xac65, 0xaa0a, - 0xa7bd, 0xa57e, 0xa34c, 0xa129, 0x9f14, 0x9d0e, 0x9b17, 0x9930, - 0x9759, 0x9592, 0x93dc, 0x9236, 0x90a1, 0x8f1d, 0x8dab, 0x8c4a, - 0x8afb, 0x89be, 0x8894, 0x877b, 0x8676, 0x8583, 0x84a3, 0x83d6, - 0x831c, 0x8276, 0x81e2, 0x8163, 0x80f6, 0x809e, 0x8059, 0x8027, - 0x800a, 0x8000, 0x800a, 0x8027, 0x8059, 0x809e, 0x80f6, 0x8163, - 0x81e2, 0x8276, 0x831c, 0x83d6, 0x84a3, 0x8583, 0x8676, 0x877b, - 0x8894, 0x89be, 0x8afb, 0x8c4a, 0x8dab, 0x8f1d, 0x90a1, 0x9236, - 0x93dc, 0x9592, 0x9759, 0x9930, 0x9b17, 0x9d0e, 0x9f14, 0xa129, - 0xa34c, 0xa57e, 0xa7bd, 0xaa0a, 0xac65, 0xaecc, 0xb140, 0xb3c0, - 0xb64c, 0xb8e3, 0xbb85, 0xbe32, 0xc0e9, 0xc3a9, 0xc673, 0xc946, - 0xcc21, 0xcf04, 0xd1ef, 0xd4e1, 0xd7d9, 0xdad8, 0xdddc, 0xe0e6, - 0xe3f4, 0xe707, 0xea1e, 0xed38, 0xf055, 0xf374, 0xf695, 0xf9b8, - 0xfcdc, 0x0, 0x324 -}; - - -/** - * @brief Fast approximation to the trigonometric sine function for Q15 data. - * @param[in] x Scaled input value in radians. - * @return sin(x). - * - * The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi). - */ - -q15_t arm_sin_q15( - q15_t x) -{ - q31_t sinVal; /* Temporary variables output */ - q15_t *tablePtr; /* Pointer to table */ - q15_t fract, in, in2; /* Temporary variables for input, output */ - q31_t wa, wb, wc, wd; /* Cubic interpolation coefficients */ - q15_t a, b, c, d; /* Four nearest output values */ - q15_t fractCube, fractSquare; /* Temporary values for fractional value */ - q15_t oneBy6 = 0x1555; /* Fixed point value of 1/6 */ - q15_t tableSpacing = TABLE_SPACING_Q15; /* Table spacing */ - int32_t index; /* Index variable */ - - in = x; - - /* Calculate the nearest index */ - index = (int32_t) in / tableSpacing; - - /* Calculate the nearest value of input */ - in2 = (q15_t) ((index) * tableSpacing); - - /* Calculation of fractional value */ - fract = (in - in2) << 8; - - /* fractSquare = fract * fract */ - fractSquare = (q15_t) ((fract * fract) >> 15); - - /* fractCube = fract * fract * fract */ - fractCube = (q15_t) ((fractSquare * fract) >> 15); - - /* Checking min and max index of table */ - if(index < 0) - { - index = 0; - } - else if(index > 256) - { - index = 256; - } - - /* Initialise table pointer */ - tablePtr = (q15_t *) & sinTableQ15[index]; - - /* Cubic interpolation process */ - /* Calculation of wa */ - /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAA)*fract; */ - wa = (q31_t) oneBy6 *fractCube; - wa += (q31_t) 0x2AAA *fract; - wa = -(wa >> 15); - wa += ((q31_t) fractSquare >> 1u); - - /* Read first nearest value of output from the sin table */ - a = *tablePtr++; - - /* sinVal = a * wa */ - sinVal = a * wa; - - /* Calculation of wb */ - wb = (((q31_t) fractCube >> 1u) - (q31_t) fractSquare) - - (((q31_t) fract >> 1u) - 0x7FFF); - - /* Read second nearest value of output from the sin table */ - b = *tablePtr++; - - /* sinVal += b*wb */ - sinVal += b * wb; - - - /* Calculation of wc */ - wc = -(q31_t) fractCube + fractSquare; - wc = (wc >> 1u) + fract; - - /* Read third nearest value of output from the sin table */ - c = *tablePtr++; - - /* sinVal += c*wc */ - sinVal += c * wc; - - /* Calculation of wd */ - /* wd = (oneBy6)*fractCube - (oneBy6)*fract; */ - fractCube = fractCube - fract; - wd = ((q15_t) (((q31_t) oneBy6 * fractCube) >> 15)); - - /* Read fourth nearest value of output from the sin table */ - d = *tablePtr++; - - /* sinVal += d*wd; */ - sinVal += d * wd; - - /* Convert output value in 1.15(q15) format and saturate */ - sinVal = __SSAT((sinVal >> 15), 16); - - /* Return the output value in 1.15(q15) format */ - return ((q15_t) sinVal); - -} - -/** - * @} end of sin group - */
--- a/cmsis_dsp/FastMathFunctions/arm_sin_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,248 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_sin_q31.c -* -* Description: Fast sine calculation for Q31 values. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFastMath - */ - - /** - * @addtogroup sin - * @{ - */ - -/** - * \par - * Table values are in Q31 (1.31 fixed-point format) and generation is done in - * three steps. First, generate sin values in floating point: - * <pre> - * tableSize = 256; - * for(n = -1; n < (tableSize + 1); n++) - * { - * sinTable[n+1]= sin(2*pi*n/tableSize); - * } </pre> - * where pi value is 3.14159265358979 - * \par - * Second, convert floating-point to Q31 (Fixed point): - * (sinTable[i] * pow(2, 31)) - * \par - * Finally, round to the nearest integer value: - * sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5); - */ - -static const q31_t sinTableQ31[259] = { - 0xfcdbd541, 0x0, 0x3242abf, 0x647d97c, 0x96a9049, 0xc8bd35e, 0xfab272b, - 0x12c8106f, - 0x15e21445, 0x18f8b83c, 0x1c0b826a, 0x1f19f97b, 0x2223a4c5, 0x25280c5e, - 0x2826b928, 0x2b1f34eb, - 0x2e110a62, 0x30fbc54d, 0x33def287, 0x36ba2014, 0x398cdd32, 0x3c56ba70, - 0x3f1749b8, 0x41ce1e65, - 0x447acd50, 0x471cece7, 0x49b41533, 0x4c3fdff4, 0x4ebfe8a5, 0x5133cc94, - 0x539b2af0, 0x55f5a4d2, - 0x5842dd54, 0x5a82799a, 0x5cb420e0, 0x5ed77c8a, 0x60ec3830, 0x62f201ac, - 0x64e88926, 0x66cf8120, - 0x68a69e81, 0x6a6d98a4, 0x6c242960, 0x6dca0d14, 0x6f5f02b2, 0x70e2cbc6, - 0x72552c85, 0x73b5ebd1, - 0x7504d345, 0x7641af3d, 0x776c4edb, 0x78848414, 0x798a23b1, 0x7a7d055b, - 0x7b5d039e, 0x7c29fbee, - 0x7ce3ceb2, 0x7d8a5f40, 0x7e1d93ea, 0x7e9d55fc, 0x7f0991c4, 0x7f62368f, - 0x7fa736b4, 0x7fd8878e, - 0x7ff62182, 0x7fffffff, 0x7ff62182, 0x7fd8878e, 0x7fa736b4, 0x7f62368f, - 0x7f0991c4, 0x7e9d55fc, - 0x7e1d93ea, 0x7d8a5f40, 0x7ce3ceb2, 0x7c29fbee, 0x7b5d039e, 0x7a7d055b, - 0x798a23b1, 0x78848414, - 0x776c4edb, 0x7641af3d, 0x7504d345, 0x73b5ebd1, 0x72552c85, 0x70e2cbc6, - 0x6f5f02b2, 0x6dca0d14, - 0x6c242960, 0x6a6d98a4, 0x68a69e81, 0x66cf8120, 0x64e88926, 0x62f201ac, - 0x60ec3830, 0x5ed77c8a, - 0x5cb420e0, 0x5a82799a, 0x5842dd54, 0x55f5a4d2, 0x539b2af0, 0x5133cc94, - 0x4ebfe8a5, 0x4c3fdff4, - 0x49b41533, 0x471cece7, 0x447acd50, 0x41ce1e65, 0x3f1749b8, 0x3c56ba70, - 0x398cdd32, 0x36ba2014, - 0x33def287, 0x30fbc54d, 0x2e110a62, 0x2b1f34eb, 0x2826b928, 0x25280c5e, - 0x2223a4c5, 0x1f19f97b, - 0x1c0b826a, 0x18f8b83c, 0x15e21445, 0x12c8106f, 0xfab272b, 0xc8bd35e, - 0x96a9049, 0x647d97c, - 0x3242abf, 0x0, 0xfcdbd541, 0xf9b82684, 0xf6956fb7, 0xf3742ca2, 0xf054d8d5, - 0xed37ef91, - 0xea1debbb, 0xe70747c4, 0xe3f47d96, 0xe0e60685, 0xdddc5b3b, 0xdad7f3a2, - 0xd7d946d8, 0xd4e0cb15, - 0xd1eef59e, 0xcf043ab3, 0xcc210d79, 0xc945dfec, 0xc67322ce, 0xc3a94590, - 0xc0e8b648, 0xbe31e19b, - 0xbb8532b0, 0xb8e31319, 0xb64beacd, 0xb3c0200c, 0xb140175b, 0xaecc336c, - 0xac64d510, 0xaa0a5b2e, - 0xa7bd22ac, 0xa57d8666, 0xa34bdf20, 0xa1288376, 0x9f13c7d0, 0x9d0dfe54, - 0x9b1776da, 0x99307ee0, - 0x9759617f, 0x9592675c, 0x93dbd6a0, 0x9235f2ec, 0x90a0fd4e, 0x8f1d343a, - 0x8daad37b, 0x8c4a142f, - 0x8afb2cbb, 0x89be50c3, 0x8893b125, 0x877b7bec, 0x8675dc4f, 0x8582faa5, - 0x84a2fc62, 0x83d60412, - 0x831c314e, 0x8275a0c0, 0x81e26c16, 0x8162aa04, 0x80f66e3c, 0x809dc971, - 0x8058c94c, 0x80277872, - 0x8009de7e, 0x80000000, 0x8009de7e, 0x80277872, 0x8058c94c, 0x809dc971, - 0x80f66e3c, 0x8162aa04, - 0x81e26c16, 0x8275a0c0, 0x831c314e, 0x83d60412, 0x84a2fc62, 0x8582faa5, - 0x8675dc4f, 0x877b7bec, - 0x8893b125, 0x89be50c3, 0x8afb2cbb, 0x8c4a142f, 0x8daad37b, 0x8f1d343a, - 0x90a0fd4e, 0x9235f2ec, - 0x93dbd6a0, 0x9592675c, 0x9759617f, 0x99307ee0, 0x9b1776da, 0x9d0dfe54, - 0x9f13c7d0, 0xa1288376, - 0xa34bdf20, 0xa57d8666, 0xa7bd22ac, 0xaa0a5b2e, 0xac64d510, 0xaecc336c, - 0xb140175b, 0xb3c0200c, - 0xb64beacd, 0xb8e31319, 0xbb8532b0, 0xbe31e19b, 0xc0e8b648, 0xc3a94590, - 0xc67322ce, 0xc945dfec, - 0xcc210d79, 0xcf043ab3, 0xd1eef59e, 0xd4e0cb15, 0xd7d946d8, 0xdad7f3a2, - 0xdddc5b3b, 0xe0e60685, - 0xe3f47d96, 0xe70747c4, 0xea1debbb, 0xed37ef91, 0xf054d8d5, 0xf3742ca2, - 0xf6956fb7, 0xf9b82684, - 0xfcdbd541, 0x0, 0x3242abf -}; - - -/** - * @brief Fast approximation to the trigonometric sine function for Q31 data. - * @param[in] x Scaled input value in radians. - * @return sin(x). - * - * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi). */ - -q31_t arm_sin_q31( - q31_t x) -{ - q31_t sinVal, in, in2; /* Temporary variables for input, output */ - int32_t index; /* Index variables */ - q31_t wa, wb, wc, wd; /* Cubic interpolation coefficients */ - q31_t a, b, c, d; /* Four nearest output values */ - q31_t *tablePtr; /* Pointer to table */ - q31_t fract, fractCube, fractSquare; /* Temporary values for fractional values */ - q31_t oneBy6 = 0x15555555; /* Fixed point value of 1/6 */ - q31_t tableSpacing = TABLE_SPACING_Q31; /* Table spacing */ - q31_t temp; /* Temporary variable for intermediate process */ - - in = x; - - /* Calculate the nearest index */ - index = (uint32_t) in / (uint32_t) tableSpacing; - - /* Calculate the nearest value of input */ - in2 = (q31_t) index *tableSpacing; - - /* Calculation of fractional value */ - fract = (in - in2) << 8; - - /* fractSquare = fract * fract */ - fractSquare = ((q31_t) (((q63_t) fract * fract) >> 32)); - fractSquare = fractSquare << 1; - - /* fractCube = fract * fract * fract */ - fractCube = ((q31_t) (((q63_t) fractSquare * fract) >> 32)); - fractCube = fractCube << 1; - - /* Checking min and max index of table */ - if(index < 0) - { - index = 0; - } - else if(index > 256) - { - index = 256; - } - - /* Initialise table pointer */ - tablePtr = (q31_t *) & sinTableQ31[index]; - - /* Cubic interpolation process */ - /* Calculation of wa */ - /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAAAAAA)*fract; */ - wa = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32)); - temp = 0x2AAAAAAA; - wa = (q31_t) ((((q63_t) wa << 32) + ((q63_t) temp * fract)) >> 32); - wa = -(wa << 1u); - wa += (fractSquare >> 1u); - - /* Read first nearest value of output from the sin table */ - a = *tablePtr++; - - /* sinVal = a*wa */ - sinVal = ((q31_t) (((q63_t) a * wa) >> 32)); - - /* q31(1.31) Fixed point value of 1 */ - temp = 0x7FFFFFFF; - - /* Calculation of wb */ - wb = ((fractCube >> 1u) - (fractSquare + (fract >> 1u))) + temp; - - /* Read second nearest value of output from the sin table */ - b = *tablePtr++; - - /* sinVal += b*wb */ - sinVal = (q31_t) ((((q63_t) sinVal << 32) + (q63_t) b * (wb)) >> 32); - - /* Calculation of wc */ - wc = -fractCube + fractSquare; - wc = (wc >> 1u) + fract; - - /* Read third nearest value of output from the sin table */ - c = *tablePtr++; - - /* sinVal += c*wc */ - sinVal = (q31_t) ((((q63_t) sinVal << 32) + ((q63_t) c * wc)) >> 32); - - /* Calculation of wd */ - /* wd = (oneBy6) * fractCube - (oneBy6) * fract; */ - fractCube = fractCube - fract; - wd = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32)); - wd = (wd << 1u); - - /* Read fourth nearest value of output from the sin table */ - d = *tablePtr++; - - /* sinVal += d*wd; */ - sinVal = (q31_t) ((((q63_t) sinVal << 32) + ((q63_t) d * wd)) >> 32); - - /* convert sinVal in 2.30 format to 1.31 format */ - return (__QADD(sinVal, sinVal)); - -} - -/** - * @} end of sin group - */
--- a/cmsis_dsp/FastMathFunctions/arm_sqrt_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,155 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_sqrt_q15.c -* -* Description: Q15 square root function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ -#include "arm_math.h" -#include "arm_common_tables.h" - - -/** - * @ingroup groupFastMath - */ - -/** - * @addtogroup SQRT - * @{ - */ - - /** - * @brief Q15 square root function. - * @param[in] in input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF. - * @param[out] *pOut square root of input value. - * @return The function returns ARM_MATH_SUCCESS if the input value is positive - * and ARM_MATH_ARGUMENT_ERROR if the input is negative. For - * negative inputs, the function returns *pOut = 0. - */ - -arm_status arm_sqrt_q15( - q15_t in, - q15_t * pOut) -{ - q15_t number, temp1, var1, signBits1, half; - q31_t bits_val1; - float32_t temp_float1; - union - { - q31_t fracval; - float32_t floatval; - } tempconv; - - number = in; - - /* If the input is a positive number then compute the signBits. */ - if(number > 0) - { - signBits1 = __CLZ(number) - 17; - - /* Shift by the number of signBits1 */ - if((signBits1 % 2) == 0) - { - number = number << signBits1; - } - else - { - number = number << (signBits1 - 1); - } - - /* Calculate half value of the number */ - half = number >> 1; - /* Store the number for later use */ - temp1 = number; - - /*Convert to float */ - temp_float1 = number * 3.051757812500000e-005f; - /*Store as integer */ - tempconv.floatval = temp_float1; - bits_val1 = tempconv.fracval; - /* Subtract the shifted value from the magic number to give intial guess */ - bits_val1 = 0x5f3759df - (bits_val1 >> 1); // gives initial guess - /* Store as float */ - tempconv.fracval = bits_val1; - temp_float1 = tempconv.floatval; - /* Convert to integer format */ - var1 = (q31_t) (temp_float1 * 16384); - - /* 1st iteration */ - var1 = ((q15_t) ((q31_t) var1 * (0x3000 - - ((q15_t) - ((((q15_t) - (((q31_t) var1 * var1) >> 15)) * - (q31_t) half) >> 15))) >> 15)) << 2; - /* 2nd iteration */ - var1 = ((q15_t) ((q31_t) var1 * (0x3000 - - ((q15_t) - ((((q15_t) - (((q31_t) var1 * var1) >> 15)) * - (q31_t) half) >> 15))) >> 15)) << 2; - /* 3rd iteration */ - var1 = ((q15_t) ((q31_t) var1 * (0x3000 - - ((q15_t) - ((((q15_t) - (((q31_t) var1 * var1) >> 15)) * - (q31_t) half) >> 15))) >> 15)) << 2; - - /* Multiply the inverse square root with the original value */ - var1 = ((q15_t) (((q31_t) temp1 * var1) >> 15)) << 1; - - /* Shift the output down accordingly */ - if((signBits1 % 2) == 0) - { - var1 = var1 >> (signBits1 / 2); - } - else - { - var1 = var1 >> ((signBits1 - 1) / 2); - } - *pOut = var1; - - return (ARM_MATH_SUCCESS); - } - /* If the number is a negative number then store zero as its square root value */ - else - { - *pOut = 0; - return (ARM_MATH_ARGUMENT_ERROR); - } -} - -/** - * @} end of SQRT group - */
--- a/cmsis_dsp/FastMathFunctions/arm_sqrt_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,153 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_sqrt_q31.c -* -* Description: Q31 square root function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ -#include "arm_math.h" -#include "arm_common_tables.h" - -/** - * @ingroup groupFastMath - */ - -/** - * @addtogroup SQRT - * @{ - */ - -/** - * @brief Q31 square root function. - * @param[in] in input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF. - * @param[out] *pOut square root of input value. - * @return The function returns ARM_MATH_SUCCESS if the input value is positive - * and ARM_MATH_ARGUMENT_ERROR if the input is negative. For - * negative inputs, the function returns *pOut = 0. - */ - -arm_status arm_sqrt_q31( - q31_t in, - q31_t * pOut) -{ - q31_t number, temp1, bits_val1, var1, signBits1, half; - float32_t temp_float1; - union - { - q31_t fracval; - float32_t floatval; - } tempconv; - - number = in; - - /* If the input is a positive number then compute the signBits. */ - if(number > 0) - { - signBits1 = __CLZ(number) - 1; - - /* Shift by the number of signBits1 */ - if((signBits1 % 2) == 0) - { - number = number << signBits1; - } - else - { - number = number << (signBits1 - 1); - } - - /* Calculate half value of the number */ - half = number >> 1; - /* Store the number for later use */ - temp1 = number; - - /*Convert to float */ - temp_float1 = number * 4.6566128731e-010f; - /*Store as integer */ - tempconv.floatval = temp_float1; - bits_val1 = tempconv.fracval; - /* Subtract the shifted value from the magic number to give intial guess */ - bits_val1 = 0x5f3759df - (bits_val1 >> 1); // gives initial guess - /* Store as float */ - tempconv.fracval = bits_val1; - temp_float1 = tempconv.floatval; - /* Convert to integer format */ - var1 = (q31_t) (temp_float1 * 1073741824); - - /* 1st iteration */ - var1 = ((q31_t) ((q63_t) var1 * (0x30000000 - - ((q31_t) - ((((q31_t) - (((q63_t) var1 * var1) >> 31)) * - (q63_t) half) >> 31))) >> 31)) << 2; - /* 2nd iteration */ - var1 = ((q31_t) ((q63_t) var1 * (0x30000000 - - ((q31_t) - ((((q31_t) - (((q63_t) var1 * var1) >> 31)) * - (q63_t) half) >> 31))) >> 31)) << 2; - /* 3rd iteration */ - var1 = ((q31_t) ((q63_t) var1 * (0x30000000 - - ((q31_t) - ((((q31_t) - (((q63_t) var1 * var1) >> 31)) * - (q63_t) half) >> 31))) >> 31)) << 2; - - /* Multiply the inverse square root with the original value */ - var1 = ((q31_t) (((q63_t) temp1 * var1) >> 31)) << 1; - - /* Shift the output down accordingly */ - if((signBits1 % 2) == 0) - { - var1 = var1 >> (signBits1 / 2); - } - else - { - var1 = var1 >> ((signBits1 - 1) / 2); - } - *pOut = var1; - - return (ARM_MATH_SUCCESS); - } - /* If the number is a negative number then store zero as its square root value */ - else - { - *pOut = 0; - return (ARM_MATH_ARGUMENT_ERROR); - } -} - -/** - * @} end of SQRT group - */
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,110 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_biquad_cascade_df1_32x64_init_q31.c -* -* Description: High precision Q31 Biquad cascade filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup BiquadCascadeDF1_32x64 - * @{ - */ - -/** - * @details - * - * @param[in,out] *S points to an instance of the high precision Q31 Biquad cascade filter structure. - * @param[in] numStages number of 2nd order stages in the filter. - * @param[in] *pCoeffs points to the filter coefficients. - * @param[in] *pState points to the state buffer. - * @param[in] postShift Shift to be applied after the accumulator. Varies according to the coefficients format. - * @return none - * - * <b>Coefficient and State Ordering:</b> - * - * \par - * The coefficients are stored in the array <code>pCoeffs</code> in the following order: - * <pre> - * {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...} - * </pre> - * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage, - * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage, - * and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values. - * - * \par - * The <code>pState</code> points to state variables array and size of each state variable is 1.63 format. - * Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>. - * The state variables are arranged in the state array as: - * <pre> - * {x[n-1], x[n-2], y[n-1], y[n-2]} - * </pre> - * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. - * The state array has a total length of <code>4*numStages</code> values. - * The state variables are updated after each block of data is processed; the coefficients are untouched. - */ - -void arm_biquad_cas_df1_32x64_init_q31( - arm_biquad_cas_df1_32x64_ins_q31 * S, - uint8_t numStages, - q31_t * pCoeffs, - q63_t * pState, - uint8_t postShift) -{ - /* Assign filter stages */ - S->numStages = numStages; - - /* Assign postShift to be applied to the output */ - S->postShift = postShift; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always 4 * numStages */ - memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(q63_t)); - - /* Assign state pointer */ - S->pState = pState; -} - -/** - * @} end of BiquadCascadeDF1_32x64 group - */
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,561 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_biquad_cascade_df1_32x64_q31.c -* -* Description: High precision Q31 Biquad cascade filter processing function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @defgroup BiquadCascadeDF1_32x64 High Precision Q31 Biquad Cascade Filter - * - * This function implements a high precision Biquad cascade filter which operates on - * Q31 data values. The filter coefficients are in 1.31 format and the state variables - * are in 1.63 format. The double precision state variables reduce quantization noise - * in the filter and provide a cleaner output. - * These filters are particularly useful when implementing filters in which the - * singularities are close to the unit circle. This is common for low pass or high - * pass filters with very low cutoff frequencies. - * - * The function operates on blocks of input and output data - * and each call to the function processes <code>blockSize</code> samples through - * the filter. <code>pSrc</code> and <code>pDst</code> points to input and output arrays - * containing <code>blockSize</code> Q31 values. - * - * \par Algorithm - * Each Biquad stage implements a second order filter using the difference equation: - * <pre> - * y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - * </pre> - * A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage. - * \image html Biquad.gif "Single Biquad filter stage" - * Coefficients <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients. - * Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients. - * Pay careful attention to the sign of the feedback coefficients. - * Some design tools use the difference equation - * <pre> - * y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2] - * </pre> - * In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library. - * - * \par - * Higher order filters are realized as a cascade of second order sections. - * <code>numStages</code> refers to the number of second order stages used. - * For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages. - * \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages" - * A 9th order filter would be realized with <code>numStages=5</code> second order stages with the coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>). - * - * \par - * The <code>pState</code> points to state variables array . - * Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code> and each state variable in 1.63 format to improve precision. - * The state variables are arranged in the array as: - * <pre> - * {x[n-1], x[n-2], y[n-1], y[n-2]} - * </pre> - * - * \par - * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. - * The state array has a total length of <code>4*numStages</code> values of data in 1.63 format. - * The state variables are updated after each block of data is processed; the coefficients are untouched. - * - * \par Instance Structure - * The coefficients and state variables for a filter are stored together in an instance data structure. - * A separate instance structure must be defined for each filter. - * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. - * - * \par Init Function - * There is also an associated initialization function which performs the following operations: - * - Sets the values of the internal structure fields. - * - Zeros out the values in the state buffer. - * To do this manually without calling the init function, assign the follow subfields of the instance structure: - * numStages, pCoeffs, postShift, pState. Also set all of the values in pState to zero. - * - * \par - * Use of the initialization function is optional. - * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. - * To place an instance structure into a const data section, the instance structure must be manually initialized. - * Set the values in the state buffer to zeros before static initialization. - * For example, to statically initialize the filter instance structure use - * <pre> - * arm_biquad_cas_df1_32x64_ins_q31 S1 = {numStages, pState, pCoeffs, postShift}; - * </pre> - * where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer; - * <code>pCoeffs</code> is the address of the coefficient buffer; <code>postShift</code> shift to be applied which is described in detail below. - * \par Fixed-Point Behavior - * Care must be taken while using Biquad Cascade 32x64 filter function. - * Following issues must be considered: - * - Scaling of coefficients - * - Filter gain - * - Overflow and saturation - * - * \par - * Filter coefficients are represented as fractional values and - * restricted to lie in the range <code>[-1 +1)</code>. - * The processing function has an additional scaling parameter <code>postShift</code> - * which allows the filter coefficients to exceed the range <code>[+1 -1)</code>. - * At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits. - * \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator" - * This essentially scales the filter coefficients by <code>2^postShift</code>. - * For example, to realize the coefficients - * <pre> - * {1.5, -0.8, 1.2, 1.6, -0.9} - * </pre> - * set the Coefficient array to: - * <pre> - * {0.75, -0.4, 0.6, 0.8, -0.45} - * </pre> - * and set <code>postShift=1</code> - * - * \par - * The second thing to keep in mind is the gain through the filter. - * The frequency response of a Biquad filter is a function of its coefficients. - * It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies. - * This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter. - * To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed. - * - * \par - * The third item to consider is the overflow and saturation behavior of the fixed-point Q31 version. - * This is described in the function specific documentation below. - */ - -/** - * @addtogroup BiquadCascadeDF1_32x64 - * @{ - */ - -/** - * @details - - * @param[in] *S points to an instance of the high precision Q31 Biquad cascade filter. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - * @return none. - * - * \par - * The function is implemented using an internal 64-bit accumulator. - * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. - * Thus, if the accumulator result overflows it wraps around rather than clip. - * In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25). - * After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by <code>postShift</code> bits and the result truncated to - * 1.31 format by discarding the low 32 bits. - * - * \par - * Two related functions are provided in the CMSIS DSP library. - * <code>arm_biquad_cascade_df1_q31()</code> implements a Biquad cascade with 32-bit coefficients and state variables with a Q63 accumulator. - * <code>arm_biquad_cascade_df1_fast_q31()</code> implements a Biquad cascade with 32-bit coefficients and state variables with a Q31 accumulator. - */ - -void arm_biquad_cas_df1_32x64_q31( - const arm_biquad_cas_df1_32x64_ins_q31 * S, - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t *pIn = pSrc; /* input pointer initialization */ - q31_t *pOut = pDst; /* output pointer initialization */ - q63_t *pState = S->pState; /* state pointer initialization */ - q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */ - q63_t acc; /* accumulator */ - q31_t Xn1, Xn2; /* Input Filter state variables */ - q63_t Yn1, Yn2; /* Output Filter state variables */ - q31_t b0, b1, b2, a1, a2; /* Filter coefficients */ - q31_t Xn; /* temporary input */ - int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */ - uint32_t sample, stage = S->numStages; /* loop counters */ - q31_t acc_l, acc_h; /* temporary output */ - uint32_t uShift = ((uint32_t) S->postShift + 1u); - uint32_t lShift = 32u - uShift; /* Shift to be applied to the output */ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - do - { - /* Reading the coefficients */ - b0 = *pCoeffs++; - b1 = *pCoeffs++; - b2 = *pCoeffs++; - a1 = *pCoeffs++; - a2 = *pCoeffs++; - - /* Reading the state values */ - Xn1 = (q31_t) (pState[0]); - Xn2 = (q31_t) (pState[1]); - Yn1 = pState[2]; - Yn2 = pState[3]; - - /* Apply loop unrolling and compute 4 output values simultaneously. */ - /* The variable acc hold output value that is being computed and - * stored in the destination buffer - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - */ - - sample = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(sample > 0u) - { - /* Read the input */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - - /* acc = b0 * x[n] */ - acc = (q63_t) Xn *b0; - - /* acc += b1 * x[n-1] */ - acc += (q63_t) Xn1 *b1; - - /* acc += b[2] * x[n-2] */ - acc += (q63_t) Xn2 *b2; - - /* acc += a1 * y[n-1] */ - acc += mult32x64(Yn1, a1); - - /* acc += a2 * y[n-2] */ - acc += mult32x64(Yn2, a2); - - /* The result is converted to 1.63 , Yn2 variable is reused */ - Yn2 = acc << shift; - - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Store the output in the destination buffer in 1.31 format. */ - *pOut = acc_h; - - /* Read the second input into Xn2, to reuse the value */ - Xn2 = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - - /* acc += b1 * x[n-1] */ - acc = (q63_t) Xn *b1; - - /* acc = b0 * x[n] */ - acc += (q63_t) Xn2 *b0; - - /* acc += b[2] * x[n-2] */ - acc += (q63_t) Xn1 *b2; - - /* acc += a1 * y[n-1] */ - acc += mult32x64(Yn2, a1); - - /* acc += a2 * y[n-2] */ - acc += mult32x64(Yn1, a2); - - /* The result is converted to 1.63, Yn1 variable is reused */ - Yn1 = acc << shift; - - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Read the third input into Xn1, to reuse the value */ - Xn1 = *pIn++; - - /* The result is converted to 1.31 */ - /* Store the output in the destination buffer. */ - *(pOut + 1u) = acc_h; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - - /* acc = b0 * x[n] */ - acc = (q63_t) Xn1 *b0; - - /* acc += b1 * x[n-1] */ - acc += (q63_t) Xn2 *b1; - - /* acc += b[2] * x[n-2] */ - acc += (q63_t) Xn *b2; - - /* acc += a1 * y[n-1] */ - acc += mult32x64(Yn1, a1); - - /* acc += a2 * y[n-2] */ - acc += mult32x64(Yn2, a2); - - /* The result is converted to 1.63, Yn2 variable is reused */ - Yn2 = acc << shift; - - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Store the output in the destination buffer in 1.31 format. */ - *(pOut + 2u) = acc_h; - - /* Read the fourth input into Xn, to reuse the value */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - /* acc = b0 * x[n] */ - acc = (q63_t) Xn *b0; - - /* acc += b1 * x[n-1] */ - acc += (q63_t) Xn1 *b1; - - /* acc += b[2] * x[n-2] */ - acc += (q63_t) Xn2 *b2; - - /* acc += a1 * y[n-1] */ - acc += mult32x64(Yn2, a1); - - /* acc += a2 * y[n-2] */ - acc += mult32x64(Yn1, a2); - - /* The result is converted to 1.63, Yn1 variable is reused */ - Yn1 = acc << shift; - - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Store the output in the destination buffer in 1.31 format. */ - *(pOut + 3u) = acc_h; - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - Xn2 = Xn1; - Xn1 = Xn; - - /* update output pointer */ - pOut += 4u; - - /* decrement the loop counter */ - sample--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - sample = (blockSize & 0x3u); - - while(sample > 0u) - { - /* Read the input */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - - /* acc = b0 * x[n] */ - acc = (q63_t) Xn *b0; - /* acc += b1 * x[n-1] */ - acc += (q63_t) Xn1 *b1; - /* acc += b[2] * x[n-2] */ - acc += (q63_t) Xn2 *b2; - /* acc += a1 * y[n-1] */ - acc += mult32x64(Yn1, a1); - /* acc += a2 * y[n-2] */ - acc += mult32x64(Yn2, a2); - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - Xn2 = Xn1; - Xn1 = Xn; - Yn2 = Yn1; - /* The result is converted to 1.63, Yn1 variable is reused */ - Yn1 = acc << shift; - - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Store the output in the destination buffer in 1.31 format. */ - *pOut++ = acc_h; - //Yn1 = acc << shift; - - /* Store the output in the destination buffer in 1.31 format. */ -// *pOut++ = (q31_t) (acc >> (32 - shift)); - - /* decrement the loop counter */ - sample--; - } - - /* The first stage output is given as input to the second stage. */ - pIn = pDst; - - /* Reset to destination buffer working pointer */ - pOut = pDst; - - /* Store the updated state variables back into the pState array */ - /* Store the updated state variables back into the pState array */ - *pState++ = (q63_t) Xn1; - *pState++ = (q63_t) Xn2; - *pState++ = Yn1; - *pState++ = Yn2; - - } while(--stage); - -#else - - /* Run the below code for Cortex-M0 */ - - do - { - /* Reading the coefficients */ - b0 = *pCoeffs++; - b1 = *pCoeffs++; - b2 = *pCoeffs++; - a1 = *pCoeffs++; - a2 = *pCoeffs++; - - /* Reading the state values */ - Xn1 = pState[0]; - Xn2 = pState[1]; - Yn1 = pState[2]; - Yn2 = pState[3]; - - /* The variable acc hold output value that is being computed and - * stored in the destination buffer - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - */ - - sample = blockSize; - - while(sample > 0u) - { - /* Read the input */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - /* acc = b0 * x[n] */ - acc = (q63_t) Xn *b0; - /* acc += b1 * x[n-1] */ - acc += (q63_t) Xn1 *b1; - /* acc += b[2] * x[n-2] */ - acc += (q63_t) Xn2 *b2; - /* acc += a1 * y[n-1] */ - acc += mult32x64(Yn1, a1); - /* acc += a2 * y[n-2] */ - acc += mult32x64(Yn2, a2); - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - Xn2 = Xn1; - Xn1 = Xn; - Yn2 = Yn1; - - /* The result is converted to 1.63, Yn1 variable is reused */ - Yn1 = acc << shift; - - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Store the output in the destination buffer in 1.31 format. */ - *pOut++ = acc_h; - - //Yn1 = acc << shift; - - /* Store the output in the destination buffer in 1.31 format. */ - //*pOut++ = (q31_t) (acc >> (32 - shift)); - - /* decrement the loop counter */ - sample--; - } - - /* The first stage output is given as input to the second stage. */ - pIn = pDst; - - /* Reset to destination buffer working pointer */ - pOut = pDst; - - /* Store the updated state variables back into the pState array */ - *pState++ = (q63_t) Xn1; - *pState++ = (q63_t) Xn2; - *pState++ = Yn1; - *pState++ = Yn2; - - } while(--stage); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ -} - - /** - * @} end of BiquadCascadeDF1_32x64 group - */
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,425 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_biquad_cascade_df1_f32.c -* -* Description: Processing function for the -* floating-point Biquad cascade DirectFormI(DF1) filter. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @defgroup BiquadCascadeDF1 Biquad Cascade IIR Filters Using Direct Form I Structure - * - * This set of functions implements arbitrary order recursive (IIR) filters. - * The filters are implemented as a cascade of second order Biquad sections. - * The functions support Q15, Q31 and floating-point data types. - * Fast version of Q15 and Q31 also supported on CortexM4 and Cortex-M3. - * - * The functions operate on blocks of input and output data and each call to the function - * processes <code>blockSize</code> samples through the filter. - * <code>pSrc</code> points to the array of input data and - * <code>pDst</code> points to the array of output data. - * Both arrays contain <code>blockSize</code> values. - * - * \par Algorithm - * Each Biquad stage implements a second order filter using the difference equation: - * <pre> - * y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - * </pre> - * A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage. - * \image html Biquad.gif "Single Biquad filter stage" - * Coefficients <code>b0, b1 and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients. - * Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients. - * Pay careful attention to the sign of the feedback coefficients. - * Some design tools use the difference equation - * <pre> - * y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2] - * </pre> - * In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library. - * - * \par - * Higher order filters are realized as a cascade of second order sections. - * <code>numStages</code> refers to the number of second order stages used. - * For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages. - * \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages" - * A 9th order filter would be realized with <code>numStages=5</code> second order stages with the coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>). - * - * \par - * The <code>pState</code> points to state variables array. - * Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>. - * The state variables are arranged in the <code>pState</code> array as: - * <pre> - * {x[n-1], x[n-2], y[n-1], y[n-2]} - * </pre> - * - * \par - * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. - * The state array has a total length of <code>4*numStages</code> values. - * The state variables are updated after each block of data is processed, the coefficients are untouched. - * - * \par Instance Structure - * The coefficients and state variables for a filter are stored together in an instance data structure. - * A separate instance structure must be defined for each filter. - * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. - * There are separate instance structure declarations for each of the 3 supported data types. - * - * \par Init Functions - * There is also an associated initialization function for each data type. - * The initialization function performs following operations: - * - Sets the values of the internal structure fields. - * - Zeros out the values in the state buffer. - * To do this manually without calling the init function, assign the follow subfields of the instance structure: - * numStages, pCoeffs, pState. Also set all of the values in pState to zero. - * - * \par - * Use of the initialization function is optional. - * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. - * To place an instance structure into a const data section, the instance structure must be manually initialized. - * Set the values in the state buffer to zeros before static initialization. - * The code below statically initializes each of the 3 different data type filter instance structures - * <pre> - * arm_biquad_casd_df1_inst_f32 S1 = {numStages, pState, pCoeffs}; - * arm_biquad_casd_df1_inst_q15 S2 = {numStages, pState, pCoeffs, postShift}; - * arm_biquad_casd_df1_inst_q31 S3 = {numStages, pState, pCoeffs, postShift}; - * </pre> - * where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer; - * <code>pCoeffs</code> is the address of the coefficient buffer; <code>postShift</code> shift to be applied. - * - * \par Fixed-Point Behavior - * Care must be taken when using the Q15 and Q31 versions of the Biquad Cascade filter functions. - * Following issues must be considered: - * - Scaling of coefficients - * - Filter gain - * - Overflow and saturation - * - * \par - * <b>Scaling of coefficients: </b> - * Filter coefficients are represented as fractional values and - * coefficients are restricted to lie in the range <code>[-1 +1)</code>. - * The fixed-point functions have an additional scaling parameter <code>postShift</code> - * which allow the filter coefficients to exceed the range <code>[+1 -1)</code>. - * At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits. - * \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator" - * This essentially scales the filter coefficients by <code>2^postShift</code>. - * For example, to realize the coefficients - * <pre> - * {1.5, -0.8, 1.2, 1.6, -0.9} - * </pre> - * set the pCoeffs array to: - * <pre> - * {0.75, -0.4, 0.6, 0.8, -0.45} - * </pre> - * and set <code>postShift=1</code> - * - * \par - * <b>Filter gain: </b> - * The frequency response of a Biquad filter is a function of its coefficients. - * It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies. - * This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter. - * To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed. - * - * \par - * <b>Overflow and saturation: </b> - * For Q15 and Q31 versions, it is described separately as part of the function specific documentation below. - */ - -/** - * @addtogroup BiquadCascadeDF1 - * @{ - */ - -/** - * @param[in] *S points to an instance of the floating-point Biquad cascade structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of samples to process per call. - * @return none. - * - */ - -void arm_biquad_cascade_df1_f32( - const arm_biquad_casd_df1_inst_f32 * S, - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - float32_t *pIn = pSrc; /* source pointer */ - float32_t *pOut = pDst; /* destination pointer */ - float32_t *pState = S->pState; /* pState pointer */ - float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */ - float32_t acc; /* Simulates the accumulator */ - float32_t b0, b1, b2, a1, a2; /* Filter coefficients */ - float32_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */ - float32_t Xn; /* temporary input */ - uint32_t sample, stage = S->numStages; /* loop counters */ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - do - { - /* Reading the coefficients */ - b0 = *pCoeffs++; - b1 = *pCoeffs++; - b2 = *pCoeffs++; - a1 = *pCoeffs++; - a2 = *pCoeffs++; - - /* Reading the pState values */ - Xn1 = pState[0]; - Xn2 = pState[1]; - Yn1 = pState[2]; - Yn2 = pState[3]; - - /* Apply loop unrolling and compute 4 output values simultaneously. */ - /* The variable acc hold output values that are being computed: - * - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - */ - - sample = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(sample > 0u) - { - /* Read the first input */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - Yn2 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2); - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = Yn2; - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - - /* Read the second input */ - Xn2 = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - Yn1 = (b0 * Xn2) + (b1 * Xn) + (b2 * Xn1) + (a1 * Yn2) + (a2 * Yn1); - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = Yn1; - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - - /* Read the third input */ - Xn1 = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - Yn2 = (b0 * Xn1) + (b1 * Xn2) + (b2 * Xn) + (a1 * Yn1) + (a2 * Yn2); - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = Yn2; - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - - /* Read the forth input */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - Yn1 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn2) + (a2 * Yn1); - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = Yn1; - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - Xn2 = Xn1; - Xn1 = Xn; - - /* decrement the loop counter */ - sample--; - - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - sample = blockSize & 0x3u; - - while(sample > 0u) - { - /* Read the input */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2); - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = acc; - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - Xn2 = Xn1; - Xn1 = Xn; - Yn2 = Yn1; - Yn1 = acc; - - /* decrement the loop counter */ - sample--; - - } - - /* Store the updated state variables back into the pState array */ - *pState++ = Xn1; - *pState++ = Xn2; - *pState++ = Yn1; - *pState++ = Yn2; - - /* The first stage goes from the input buffer to the output buffer. */ - /* Subsequent numStages occur in-place in the output buffer */ - pIn = pDst; - - /* Reset the output pointer */ - pOut = pDst; - - /* decrement the loop counter */ - stage--; - - } while(stage > 0u); - -#else - - /* Run the below code for Cortex-M0 */ - - do - { - /* Reading the coefficients */ - b0 = *pCoeffs++; - b1 = *pCoeffs++; - b2 = *pCoeffs++; - a1 = *pCoeffs++; - a2 = *pCoeffs++; - - /* Reading the pState values */ - Xn1 = pState[0]; - Xn2 = pState[1]; - Yn1 = pState[2]; - Yn2 = pState[3]; - - /* The variables acc holds the output value that is computed: - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - */ - - sample = blockSize; - - while(sample > 0u) - { - /* Read the input */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2); - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = acc; - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - Xn2 = Xn1; - Xn1 = Xn; - Yn2 = Yn1; - Yn1 = acc; - - /* decrement the loop counter */ - sample--; - } - - /* Store the updated state variables back into the pState array */ - *pState++ = Xn1; - *pState++ = Xn2; - *pState++ = Yn1; - *pState++ = Yn2; - - /* The first stage goes from the input buffer to the output buffer. */ - /* Subsequent numStages occur in-place in the output buffer */ - pIn = pDst; - - /* Reset the output pointer */ - pOut = pDst; - - /* decrement the loop counter */ - stage--; - - } while(stage > 0u); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - - - /** - * @} end of BiquadCascadeDF1 group - */
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,286 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_biquad_cascade_df1_fast_q15.c -* -* Description: Fast processing function for the -* Q15 Biquad cascade filter. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup BiquadCascadeDF1 - * @{ - */ - -/** - * @details - * @param[in] *S points to an instance of the Q15 Biquad cascade structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of samples to process per call. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * This fast version uses a 32-bit accumulator with 2.30 format. - * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. - * Thus, if the accumulator result overflows it wraps around and distorts the result. - * In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). - * The 2.30 accumulator is then shifted by <code>postShift</code> bits and the result truncated to 1.15 format by discarding the low 16 bits. - * - * \par - * Refer to the function <code>arm_biquad_cascade_df1_q15()</code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure. - * Use the function <code>arm_biquad_cascade_df1_init_q15()</code> to initialize the filter structure. - * - */ - -void arm_biquad_cascade_df1_fast_q15( - const arm_biquad_casd_df1_inst_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q15_t *pIn = pSrc; /* Source pointer */ - q15_t *pOut = pDst; /* Destination pointer */ - q31_t in; /* Temporary variable to hold input value */ - q31_t out; /* Temporary variable to hold output value */ - q31_t b0; /* Temporary variable to hold bo value */ - q31_t b1, a1; /* Filter coefficients */ - q31_t state_in, state_out; /* Filter state variables */ - q31_t acc; /* Accumulator */ - int32_t shift = (int32_t) (15 - S->postShift); /* Post shift */ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - uint32_t sample, stage = S->numStages; /* Stage loop counter */ - - - - do - { - - /* Read the b0 and 0 coefficients using SIMD */ - b0 = *__SIMD32(pCoeffs)++; - - /* Read the b1 and b2 coefficients using SIMD */ - b1 = *__SIMD32(pCoeffs)++; - - /* Read the a1 and a2 coefficients using SIMD */ - a1 = *__SIMD32(pCoeffs)++; - - /* Read the input state values from the state buffer: x[n-1], x[n-2] */ - state_in = *__SIMD32(pState)++; - - /* Read the output state values from the state buffer: y[n-1], y[n-2] */ - state_out = *__SIMD32(pState)--; - - /* Apply loop unrolling and compute 2 output values simultaneously. */ - /* The variable acc hold output values that are being computed: - * - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - */ - sample = blockSize >> 1u; - - /* First part of the processing with loop unrolling. Compute 2 outputs at a time. - ** a second loop below computes the remaining 1 sample. */ - while(sample > 0u) - { - - /* Read the input */ - in = *__SIMD32(pIn)++; - - /* out = b0 * x[n] + 0 * 0 */ - out = __SMUAD(b0, in); - /* acc = b1 * x[n-1] + acc += b2 * x[n-2] + out */ - acc = __SMLAD(b1, state_in, out); - /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */ - acc = __SMLAD(a1, state_out, acc); - - /* The result is converted from 3.29 to 1.31 and then saturation is applied */ - out = __SSAT((acc >> shift), 16); - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ - /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ - -#ifndef ARM_MATH_BIG_ENDIAN - - state_in = __PKHBT(in, state_in, 16); - state_out = __PKHBT(out, state_out, 16); - -#else - - state_in = __PKHBT(state_in >> 16, (in >> 16), 16); - state_out = __PKHBT(state_out >> 16, (out), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* out = b0 * x[n] + 0 * 0 */ - out = __SMUADX(b0, in); - /* acc0 = b1 * x[n-1] , acc0 += b2 * x[n-2] + out */ - acc = __SMLAD(b1, state_in, out); - /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */ - acc = __SMLAD(a1, state_out, acc); - - /* The result is converted from 3.29 to 1.31 and then saturation is applied */ - out = __SSAT((acc >> shift), 16); - - - /* Store the output in the destination buffer. */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pOut)++ = __PKHBT(state_out, out, 16); - -#else - - *__SIMD32(pOut)++ = __PKHBT(out, state_out >> 16, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ - /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ - -#ifndef ARM_MATH_BIG_ENDIAN - - state_in = __PKHBT(in >> 16, state_in, 16); - state_out = __PKHBT(out, state_out, 16); - -#else - - state_in = __PKHBT(state_in >> 16, in, 16); - state_out = __PKHBT(state_out >> 16, out, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - - /* Decrement the loop counter */ - sample--; - - } - - /* If the blockSize is not a multiple of 2, compute any remaining output samples here. - ** No loop unrolling is used. */ - - if((blockSize & 0x1u) != 0u) - { - /* Read the input */ - in = *pIn++; - - /* out = b0 * x[n] + 0 * 0 */ - -#ifndef ARM_MATH_BIG_ENDIAN - - out = __SMUAD(b0, in); - -#else - - out = __SMUADX(b0, in); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* acc = b1 * x[n-1], acc += b2 * x[n-2] + out */ - acc = __SMLAD(b1, state_in, out); - /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */ - acc = __SMLAD(a1, state_out, acc); - - /* The result is converted from 3.29 to 1.31 and then saturation is applied */ - out = __SSAT((acc >> shift), 16); - - /* Store the output in the destination buffer. */ - *pOut++ = (q15_t) out; - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ - /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ - -#ifndef ARM_MATH_BIG_ENDIAN - - state_in = __PKHBT(in, state_in, 16); - state_out = __PKHBT(out, state_out, 16); - -#else - - state_in = __PKHBT(state_in >> 16, in, 16); - state_out = __PKHBT(state_out >> 16, out, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - } - - /* The first stage goes from the input buffer to the output buffer. */ - /* Subsequent (numStages - 1) occur in-place in the output buffer */ - pIn = pDst; - - /* Reset the output pointer */ - pOut = pDst; - - /* Store the updated state variables back into the state array */ - *__SIMD32(pState)++ = state_in; - *__SIMD32(pState)++ = state_out; - - - /* Decrement the loop counter */ - stage--; - - } while(stage > 0u); -} - - -/** - * @} end of BiquadCascadeDF1 group - */
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,305 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_biquad_cascade_df1_fast_q31.c -* -* Description: Processing function for the -* Q31 Fast Biquad cascade DirectFormI(DF1) filter. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup BiquadCascadeDF1 - * @{ - */ - -/** - * @details - * - * @param[in] *S points to an instance of the Q31 Biquad cascade structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of samples to process per call. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * This function is optimized for speed at the expense of fixed-point precision and overflow protection. - * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. - * These intermediate results are added to a 2.30 accumulator. - * Finally, the accumulator is saturated and converted to a 1.31 result. - * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result. - * In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). Use the intialization function - * arm_biquad_cascade_df1_init_q31() to initialize filter structure. - * - * \par - * Refer to the function <code>arm_biquad_cascade_df1_q31()</code> for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. Both the slow and the fast versions use the same instance structure. - * Use the function <code>arm_biquad_cascade_df1_init_q31()</code> to initialize the filter structure. - */ - -void arm_biquad_cascade_df1_fast_q31( - const arm_biquad_casd_df1_inst_q31 * S, - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t acc = 0; /* accumulator */ - q31_t Xn1, Xn2, Yn1, Yn2; /* Filter state variables */ - q31_t b0, b1, b2, a1, a2; /* Filter coefficients */ - q31_t *pIn = pSrc; /* input pointer initialization */ - q31_t *pOut = pDst; /* output pointer initialization */ - q31_t *pState = S->pState; /* pState pointer initialization */ - q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */ - q31_t Xn; /* temporary input */ - int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */ - uint32_t sample, stage = S->numStages; /* loop counters */ - - - do - { - /* Reading the coefficients */ - b0 = *pCoeffs++; - b1 = *pCoeffs++; - b2 = *pCoeffs++; - a1 = *pCoeffs++; - a2 = *pCoeffs++; - - /* Reading the state values */ - Xn1 = pState[0]; - Xn2 = pState[1]; - Yn1 = pState[2]; - Yn2 = pState[3]; - - /* Apply loop unrolling and compute 4 output values simultaneously. */ - /* The variables acc ... acc3 hold output values that are being computed: - * - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - */ - - sample = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(sample > 0u) - { - /* Read the input */ - Xn = *pIn; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - /* acc = b0 * x[n] */ - //acc = (q31_t) (((q63_t) b1 * Xn1) >> 32); - mult_32x32_keep32_R(acc, b1, Xn1); - /* acc += b1 * x[n-1] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b0 * (Xn))) >> 32); - multAcc_32x32_keep32_R(acc, b0, Xn); - /* acc += b[2] * x[n-2] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32); - multAcc_32x32_keep32_R(acc, b2, Xn2); - /* acc += a1 * y[n-1] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32); - multAcc_32x32_keep32_R(acc, a1, Yn1); - /* acc += a2 * y[n-2] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32); - multAcc_32x32_keep32_R(acc, a2, Yn2); - - /* The result is converted to 1.31 , Yn2 variable is reused */ - Yn2 = acc << shift; - - /* Read the second input */ - Xn2 = *(pIn + 1u); - - /* Store the output in the destination buffer. */ - *pOut = Yn2; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - /* acc = b0 * x[n] */ - //acc = (q31_t) (((q63_t) b0 * (Xn2)) >> 32); - mult_32x32_keep32_R(acc, b0, Xn2); - /* acc += b1 * x[n-1] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn))) >> 32); - multAcc_32x32_keep32_R(acc, b1, Xn); - /* acc += b[2] * x[n-2] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn1))) >> 32); - multAcc_32x32_keep32_R(acc, b2, Xn1); - /* acc += a1 * y[n-1] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32); - multAcc_32x32_keep32_R(acc, a1, Yn2); - /* acc += a2 * y[n-2] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32); - multAcc_32x32_keep32_R(acc, a2, Yn1); - - /* The result is converted to 1.31, Yn1 variable is reused */ - Yn1 = acc << shift; - - /* Read the third input */ - Xn1 = *(pIn + 2u); - - /* Store the output in the destination buffer. */ - *(pOut + 1u) = Yn1; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - /* acc = b0 * x[n] */ - //acc = (q31_t) (((q63_t) b0 * (Xn1)) >> 32); - mult_32x32_keep32_R(acc, b0, Xn1); - /* acc += b1 * x[n-1] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn2))) >> 32); - multAcc_32x32_keep32_R(acc, b1, Xn2); - /* acc += b[2] * x[n-2] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn))) >> 32); - multAcc_32x32_keep32_R(acc, b2, Xn); - /* acc += a1 * y[n-1] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32); - multAcc_32x32_keep32_R(acc, a1, Yn1); - /* acc += a2 * y[n-2] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32); - multAcc_32x32_keep32_R(acc, a2, Yn2); - - /* The result is converted to 1.31, Yn2 variable is reused */ - Yn2 = acc << shift; - - /* Read the forth input */ - Xn = *(pIn + 3u); - - /* Store the output in the destination buffer. */ - *(pOut + 2u) = Yn2; - pIn += 4u; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - /* acc = b0 * x[n] */ - //acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32); - mult_32x32_keep32_R(acc, b0, Xn); - /* acc += b1 * x[n-1] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32); - multAcc_32x32_keep32_R(acc, b1, Xn1); - /* acc += b[2] * x[n-2] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32); - multAcc_32x32_keep32_R(acc, b2, Xn2); - /* acc += a1 * y[n-1] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32); - multAcc_32x32_keep32_R(acc, a1, Yn2); - /* acc += a2 * y[n-2] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32); - multAcc_32x32_keep32_R(acc, a2, Yn1); - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - Xn2 = Xn1; - - /* The result is converted to 1.31, Yn1 variable is reused */ - Yn1 = acc << shift; - - /* Xn1 = Xn */ - Xn1 = Xn; - - /* Store the output in the destination buffer. */ - *(pOut + 3u) = Yn1; - pOut += 4u; - - /* decrement the loop counter */ - sample--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - sample = (blockSize & 0x3u); - - while(sample > 0u) - { - /* Read the input */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - /* acc = b0 * x[n] */ - //acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32); - mult_32x32_keep32_R(acc, b0, Xn); - /* acc += b1 * x[n-1] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32); - multAcc_32x32_keep32_R(acc, b1, Xn1); - /* acc += b[2] * x[n-2] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32); - multAcc_32x32_keep32_R(acc, b2, Xn2); - /* acc += a1 * y[n-1] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32); - multAcc_32x32_keep32_R(acc, a1, Yn1); - /* acc += a2 * y[n-2] */ - //acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32); - multAcc_32x32_keep32_R(acc, a2, Yn2); - - /* The result is converted to 1.31 */ - acc = acc << shift; - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - Xn2 = Xn1; - Xn1 = Xn; - Yn2 = Yn1; - Yn1 = acc; - - /* Store the output in the destination buffer. */ - *pOut++ = acc; - - /* decrement the loop counter */ - sample--; - } - - /* The first stage goes from the input buffer to the output buffer. */ - /* Subsequent stages occur in-place in the output buffer */ - pIn = pDst; - - /* Reset to destination pointer */ - pOut = pDst; - - /* Store the updated state variables back into the pState array */ - *pState++ = Xn1; - *pState++ = Xn2; - *pState++ = Yn1; - *pState++ = Yn2; - - } while(--stage); -} - -/** - * @} end of BiquadCascadeDF1 group - */
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,109 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_biquad_cascade_df1_init_f32.c -* -* Description: floating-point Biquad cascade DirectFormI(DF1) filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup BiquadCascadeDF1 - * @{ - */ - -/** - * @details - * @brief Initialization function for the floating-point Biquad cascade filter. - * @param[in,out] *S points to an instance of the floating-point Biquad cascade structure. - * @param[in] numStages number of 2nd order stages in the filter. - * @param[in] *pCoeffs points to the filter coefficients array. - * @param[in] *pState points to the state array. - * @return none - * - * - * <b>Coefficient and State Ordering:</b> - * - * \par - * The coefficients are stored in the array <code>pCoeffs</code> in the following order: - * <pre> - * {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...} - * </pre> - * - * \par - * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage, - * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage, - * and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values. - * - * \par - * The <code>pState</code> is a pointer to state array. - * Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>. - * The state variables are arranged in the <code>pState</code> array as: - * <pre> - * {x[n-1], x[n-2], y[n-1], y[n-2]} - * </pre> - * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. - * The state array has a total length of <code>4*numStages</code> values. - * The state variables are updated after each block of data is processed; the coefficients are untouched. - * - */ - -void arm_biquad_cascade_df1_init_f32( - arm_biquad_casd_df1_inst_f32 * S, - uint8_t numStages, - float32_t * pCoeffs, - float32_t * pState) -{ - /* Assign filter stages */ - S->numStages = numStages; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always 4 * numStages */ - memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(float32_t)); - - /* Assign state pointer */ - S->pState = pState; -} - -/** - * @} end of BiquadCascadeDF1 group - */
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,111 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_biquad_cascade_df1_init_q15.c -* -* Description: Q15 Biquad cascade DirectFormI(DF1) filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup BiquadCascadeDF1 - * @{ - */ - -/** - * @details - * - * @param[in,out] *S points to an instance of the Q15 Biquad cascade structure. - * @param[in] numStages number of 2nd order stages in the filter. - * @param[in] *pCoeffs points to the filter coefficients. - * @param[in] *pState points to the state buffer. - * @param[in] postShift Shift to be applied to the accumulator result. Varies according to the coefficients format - * @return none - * - * <b>Coefficient and State Ordering:</b> - * - * \par - * The coefficients are stored in the array <code>pCoeffs</code> in the following order: - * <pre> - * {b10, 0, b11, b12, a11, a12, b20, 0, b21, b22, a21, a22, ...} - * </pre> - * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage, - * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage, - * and so on. The <code>pCoeffs</code> array contains a total of <code>6*numStages</code> values. - * The zero coefficient between <code>b1</code> and <code>b2</code> facilities use of 16-bit SIMD instructions on the Cortex-M4. - * - * \par - * The state variables are stored in the array <code>pState</code>. - * Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>. - * The state variables are arranged in the <code>pState</code> array as: - * <pre> - * {x[n-1], x[n-2], y[n-1], y[n-2]} - * </pre> - * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. - * The state array has a total length of <code>4*numStages</code> values. - * The state variables are updated after each block of data is processed; the coefficients are untouched. - */ - -void arm_biquad_cascade_df1_init_q15( - arm_biquad_casd_df1_inst_q15 * S, - uint8_t numStages, - q15_t * pCoeffs, - q15_t * pState, - int8_t postShift) -{ - /* Assign filter stages */ - S->numStages = numStages; - - /* Assign postShift to be applied to the output */ - S->postShift = postShift; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always 4 * numStages */ - memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(q15_t)); - - /* Assign state pointer */ - S->pState = pState; -} - -/** - * @} end of BiquadCascadeDF1 group - */
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,111 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_biquad_cascade_df1_init_q31.c -* -* Description: Q31 Biquad cascade DirectFormI(DF1) filter initialization function. -* -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup BiquadCascadeDF1 - * @{ - */ - -/** - * @details - * - * @param[in,out] *S points to an instance of the Q31 Biquad cascade structure. - * @param[in] numStages number of 2nd order stages in the filter. - * @param[in] *pCoeffs points to the filter coefficients buffer. - * @param[in] *pState points to the state buffer. - * @param[in] postShift Shift to be applied after the accumulator. Varies according to the coefficients format - * @return none - * - * <b>Coefficient and State Ordering:</b> - * - * \par - * The coefficients are stored in the array <code>pCoeffs</code> in the following order: - * <pre> - * {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...} - * </pre> - * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage, - * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage, - * and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values. - * - * \par - * The <code>pState</code> points to state variables array. - * Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>. - * The state variables are arranged in the <code>pState</code> array as: - * <pre> - * {x[n-1], x[n-2], y[n-1], y[n-2]} - * </pre> - * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. - * The state array has a total length of <code>4*numStages</code> values. - * The state variables are updated after each block of data is processed; the coefficients are untouched. - */ - -void arm_biquad_cascade_df1_init_q31( - arm_biquad_casd_df1_inst_q31 * S, - uint8_t numStages, - q31_t * pCoeffs, - q31_t * pState, - int8_t postShift) -{ - /* Assign filter stages */ - S->numStages = numStages; - - /* Assign postShift to be applied to the output */ - S->postShift = postShift; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always 4 * numStages */ - memset(pState, 0, (4u * (uint32_t) numStages) * sizeof(q31_t)); - - /* Assign state pointer */ - S->pState = pState; -} - -/** - * @} end of BiquadCascadeDF1 group - */
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,411 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_biquad_cascade_df1_q15.c -* -* Description: Processing function for the -* Q15 Biquad cascade DirectFormI(DF1) filter. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup BiquadCascadeDF1 - * @{ - */ - -/** - * @brief Processing function for the Q15 Biquad cascade filter. - * @param[in] *S points to an instance of the Q15 Biquad cascade structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the location where the output result is written. - * @param[in] blockSize number of samples to process per call. - * @return none. - * - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using a 64-bit internal accumulator. - * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. - * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. - * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. - * The accumulator is then shifted by <code>postShift</code> bits to truncate the result to 1.15 format by discarding the low 16 bits. - * Finally, the result is saturated to 1.15 format. - * - * \par - * Refer to the function <code>arm_biquad_cascade_df1_fast_q15()</code> for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4. - */ - -void arm_biquad_cascade_df1_q15( - const arm_biquad_casd_df1_inst_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q15_t *pIn = pSrc; /* Source pointer */ - q15_t *pOut = pDst; /* Destination pointer */ - q31_t in; /* Temporary variable to hold input value */ - q31_t out; /* Temporary variable to hold output value */ - q31_t b0; /* Temporary variable to hold bo value */ - q31_t b1, a1; /* Filter coefficients */ - q31_t state_in, state_out; /* Filter state variables */ - q31_t acc_l, acc_h; - q63_t acc; /* Accumulator */ - int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - uint32_t sample, stage = (uint32_t) S->numStages; /* Stage loop counter */ - int32_t uShift = (32 - lShift); - - do - { - /* Read the b0 and 0 coefficients using SIMD */ - b0 = *__SIMD32(pCoeffs)++; - - /* Read the b1 and b2 coefficients using SIMD */ - b1 = *__SIMD32(pCoeffs)++; - - /* Read the a1 and a2 coefficients using SIMD */ - a1 = *__SIMD32(pCoeffs)++; - - /* Read the input state values from the state buffer: x[n-1], x[n-2] */ - state_in = *__SIMD32(pState)++; - - /* Read the output state values from the state buffer: y[n-1], y[n-2] */ - state_out = *__SIMD32(pState)--; - - /* Apply loop unrolling and compute 2 output values simultaneously. */ - /* The variable acc hold output values that are being computed: - * - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - */ - sample = blockSize >> 1u; - - /* First part of the processing with loop unrolling. Compute 2 outputs at a time. - ** a second loop below computes the remaining 1 sample. */ - while(sample > 0u) - { - - /* Read the input */ - in = *__SIMD32(pIn)++; - - /* out = b0 * x[n] + 0 * 0 */ - out = __SMUAD(b0, in); - - /* acc += b1 * x[n-1] + b2 * x[n-2] + out */ - acc = __SMLALD(b1, state_in, out); - /* acc += a1 * y[n-1] + a2 * y[n-2] */ - acc = __SMLALD(a1, state_out, acc); - - /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */ - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - out = (uint32_t) acc_l >> lShift | acc_h << uShift; - - out = __SSAT(out, 16); - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ - /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ - -#ifndef ARM_MATH_BIG_ENDIAN - - state_in = __PKHBT(in, state_in, 16); - state_out = __PKHBT(out, state_out, 16); - -#else - - state_in = __PKHBT(state_in >> 16, (in >> 16), 16); - state_out = __PKHBT(state_out >> 16, (out), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* out = b0 * x[n] + 0 * 0 */ - out = __SMUADX(b0, in); - /* acc += b1 * x[n-1] + b2 * x[n-2] + out */ - acc = __SMLALD(b1, state_in, out); - /* acc += a1 * y[n-1] + a2 * y[n-2] */ - acc = __SMLALD(a1, state_out, acc); - - /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */ - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - out = (uint32_t) acc_l >> lShift | acc_h << uShift; - - out = __SSAT(out, 16); - - /* Store the output in the destination buffer. */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pOut)++ = __PKHBT(state_out, out, 16); - -#else - - *__SIMD32(pOut)++ = __PKHBT(out, state_out >> 16, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ - /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ -#ifndef ARM_MATH_BIG_ENDIAN - - state_in = __PKHBT(in >> 16, state_in, 16); - state_out = __PKHBT(out, state_out, 16); - -#else - - state_in = __PKHBT(state_in >> 16, in, 16); - state_out = __PKHBT(state_out >> 16, out, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - - /* Decrement the loop counter */ - sample--; - - } - - /* If the blockSize is not a multiple of 2, compute any remaining output samples here. - ** No loop unrolling is used. */ - - if((blockSize & 0x1u) != 0u) - { - /* Read the input */ - in = *pIn++; - - /* out = b0 * x[n] + 0 * 0 */ - -#ifndef ARM_MATH_BIG_ENDIAN - - out = __SMUAD(b0, in); - -#else - - out = __SMUADX(b0, in); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* acc = b1 * x[n-1] + b2 * x[n-2] + out */ - acc = __SMLALD(b1, state_in, out); - /* acc += a1 * y[n-1] + a2 * y[n-2] */ - acc = __SMLALD(a1, state_out, acc); - - /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */ - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - out = (uint32_t) acc_l >> lShift | acc_h << uShift; - - out = __SSAT(out, 16); - - /* Store the output in the destination buffer. */ - *pOut++ = (q15_t) out; - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ - /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ - -#ifndef ARM_MATH_BIG_ENDIAN - - state_in = __PKHBT(in, state_in, 16); - state_out = __PKHBT(out, state_out, 16); - -#else - - state_in = __PKHBT(state_in >> 16, in, 16); - state_out = __PKHBT(state_out >> 16, out, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - } - - /* The first stage goes from the input wire to the output wire. */ - /* Subsequent numStages occur in-place in the output wire */ - pIn = pDst; - - /* Reset the output pointer */ - pOut = pDst; - - /* Store the updated state variables back into the state array */ - *__SIMD32(pState)++ = state_in; - *__SIMD32(pState)++ = state_out; - - - /* Decrement the loop counter */ - stage--; - - } while(stage > 0u); - -#else - - /* Run the below code for Cortex-M0 */ - - q15_t *pIn = pSrc; /* Source pointer */ - q15_t *pOut = pDst; /* Destination pointer */ - q15_t b0, b1, b2, a1, a2; /* Filter coefficients */ - q15_t Xn1, Xn2, Yn1, Yn2; /* Filter state variables */ - q15_t Xn; /* temporary input */ - q63_t acc; /* Accumulator */ - int32_t shift = (15 - (int32_t) S->postShift); /* Post shift */ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - uint32_t sample, stage = (uint32_t) S->numStages; /* Stage loop counter */ - - do - { - /* Reading the coefficients */ - b0 = *pCoeffs++; - pCoeffs++; // skip the 0 coefficient - b1 = *pCoeffs++; - b2 = *pCoeffs++; - a1 = *pCoeffs++; - a2 = *pCoeffs++; - - /* Reading the state values */ - Xn1 = pState[0]; - Xn2 = pState[1]; - Yn1 = pState[2]; - Yn2 = pState[3]; - - /* The variables acc holds the output value that is computed: - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - */ - - sample = blockSize; - - while(sample > 0u) - { - /* Read the input */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - /* acc = b0 * x[n] */ - acc = (q31_t) b0 *Xn; - - /* acc += b1 * x[n-1] */ - acc += (q31_t) b1 *Xn1; - /* acc += b[2] * x[n-2] */ - acc += (q31_t) b2 *Xn2; - /* acc += a1 * y[n-1] */ - acc += (q31_t) a1 *Yn1; - /* acc += a2 * y[n-2] */ - acc += (q31_t) a2 *Yn2; - - /* The result is converted to 1.31 */ - acc = __SSAT((acc >> shift), 16); - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - Xn2 = Xn1; - Xn1 = Xn; - Yn2 = Yn1; - Yn1 = (q15_t) acc; - - /* Store the output in the destination buffer. */ - *pOut++ = (q15_t) acc; - - /* decrement the loop counter */ - sample--; - } - - /* The first stage goes from the input buffer to the output buffer. */ - /* Subsequent stages occur in-place in the output buffer */ - pIn = pDst; - - /* Reset to destination pointer */ - pOut = pDst; - - /* Store the updated state variables back into the pState array */ - *pState++ = Xn1; - *pState++ = Xn2; - *pState++ = Yn1; - *pState++ = Yn2; - - } while(--stage); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - - -/** - * @} end of BiquadCascadeDF1 group - */
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df1_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,402 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_biquad_cascade_df1_q31.c -* -* Description: Processing function for the -* Q31 Biquad cascade filter -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup BiquadCascadeDF1 - * @{ - */ - -/** - * @brief Processing function for the Q31 Biquad cascade filter. - * @param[in] *S points to an instance of the Q31 Biquad cascade structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of samples to process per call. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using an internal 64-bit accumulator. - * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. - * Thus, if the accumulator result overflows it wraps around rather than clip. - * In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25). - * After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by <code>postShift</code> bits and the result truncated to - * 1.31 format by discarding the low 32 bits. - * - * \par - * Refer to the function <code>arm_biquad_cascade_df1_fast_q31()</code> for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4. - */ - -void arm_biquad_cascade_df1_q31( - const arm_biquad_casd_df1_inst_q31 * S, - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q63_t acc; /* accumulator */ - uint32_t uShift = ((uint32_t) S->postShift + 1u); - uint32_t lShift = 32u - uShift; /* Shift to be applied to the output */ - q31_t *pIn = pSrc; /* input pointer initialization */ - q31_t *pOut = pDst; /* output pointer initialization */ - q31_t *pState = S->pState; /* pState pointer initialization */ - q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */ - q31_t Xn1, Xn2, Yn1, Yn2; /* Filter state variables */ - q31_t b0, b1, b2, a1, a2; /* Filter coefficients */ - q31_t Xn; /* temporary input */ - uint32_t sample, stage = S->numStages; /* loop counters */ - - -#ifndef ARM_MATH_CM0_FAMILY - - q31_t acc_l, acc_h; /* temporary output variables */ - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - do - { - /* Reading the coefficients */ - b0 = *pCoeffs++; - b1 = *pCoeffs++; - b2 = *pCoeffs++; - a1 = *pCoeffs++; - a2 = *pCoeffs++; - - /* Reading the state values */ - Xn1 = pState[0]; - Xn2 = pState[1]; - Yn1 = pState[2]; - Yn2 = pState[3]; - - /* Apply loop unrolling and compute 4 output values simultaneously. */ - /* The variable acc hold output values that are being computed: - * - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - */ - - sample = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(sample > 0u) - { - /* Read the input */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - - /* acc = b0 * x[n] */ - acc = (q63_t) b0 *Xn; - /* acc += b1 * x[n-1] */ - acc += (q63_t) b1 *Xn1; - /* acc += b[2] * x[n-2] */ - acc += (q63_t) b2 *Xn2; - /* acc += a1 * y[n-1] */ - acc += (q63_t) a1 *Yn1; - /* acc += a2 * y[n-2] */ - acc += (q63_t) a2 *Yn2; - - /* The result is converted to 1.31 , Yn2 variable is reused */ - - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Store the output in the destination buffer. */ - *pOut++ = Yn2; - - /* Read the second input */ - Xn2 = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - - /* acc = b0 * x[n] */ - acc = (q63_t) b0 *Xn2; - /* acc += b1 * x[n-1] */ - acc += (q63_t) b1 *Xn; - /* acc += b[2] * x[n-2] */ - acc += (q63_t) b2 *Xn1; - /* acc += a1 * y[n-1] */ - acc += (q63_t) a1 *Yn2; - /* acc += a2 * y[n-2] */ - acc += (q63_t) a2 *Yn1; - - - /* The result is converted to 1.31, Yn1 variable is reused */ - - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - - /* Apply shift for lower part of acc and upper part of acc */ - Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Store the output in the destination buffer. */ - *pOut++ = Yn1; - - /* Read the third input */ - Xn1 = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - - /* acc = b0 * x[n] */ - acc = (q63_t) b0 *Xn1; - /* acc += b1 * x[n-1] */ - acc += (q63_t) b1 *Xn2; - /* acc += b[2] * x[n-2] */ - acc += (q63_t) b2 *Xn; - /* acc += a1 * y[n-1] */ - acc += (q63_t) a1 *Yn1; - /* acc += a2 * y[n-2] */ - acc += (q63_t) a2 *Yn2; - - /* The result is converted to 1.31, Yn2 variable is reused */ - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - - /* Apply shift for lower part of acc and upper part of acc */ - Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Store the output in the destination buffer. */ - *pOut++ = Yn2; - - /* Read the forth input */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - - /* acc = b0 * x[n] */ - acc = (q63_t) b0 *Xn; - /* acc += b1 * x[n-1] */ - acc += (q63_t) b1 *Xn1; - /* acc += b[2] * x[n-2] */ - acc += (q63_t) b2 *Xn2; - /* acc += a1 * y[n-1] */ - acc += (q63_t) a1 *Yn2; - /* acc += a2 * y[n-2] */ - acc += (q63_t) a2 *Yn1; - - /* The result is converted to 1.31, Yn1 variable is reused */ - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - Xn2 = Xn1; - Xn1 = Xn; - - /* Store the output in the destination buffer. */ - *pOut++ = Yn1; - - /* decrement the loop counter */ - sample--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - sample = (blockSize & 0x3u); - - while(sample > 0u) - { - /* Read the input */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - - /* acc = b0 * x[n] */ - acc = (q63_t) b0 *Xn; - /* acc += b1 * x[n-1] */ - acc += (q63_t) b1 *Xn1; - /* acc += b[2] * x[n-2] */ - acc += (q63_t) b2 *Xn2; - /* acc += a1 * y[n-1] */ - acc += (q63_t) a1 *Yn1; - /* acc += a2 * y[n-2] */ - acc += (q63_t) a2 *Yn2; - - /* The result is converted to 1.31 */ - acc = acc >> lShift; - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - Xn2 = Xn1; - Xn1 = Xn; - Yn2 = Yn1; - Yn1 = (q31_t) acc; - - /* Store the output in the destination buffer. */ - *pOut++ = (q31_t) acc; - - /* decrement the loop counter */ - sample--; - } - - /* The first stage goes from the input buffer to the output buffer. */ - /* Subsequent stages occur in-place in the output buffer */ - pIn = pDst; - - /* Reset to destination pointer */ - pOut = pDst; - - /* Store the updated state variables back into the pState array */ - *pState++ = Xn1; - *pState++ = Xn2; - *pState++ = Yn1; - *pState++ = Yn2; - - } while(--stage); - -#else - - /* Run the below code for Cortex-M0 */ - - do - { - /* Reading the coefficients */ - b0 = *pCoeffs++; - b1 = *pCoeffs++; - b2 = *pCoeffs++; - a1 = *pCoeffs++; - a2 = *pCoeffs++; - - /* Reading the state values */ - Xn1 = pState[0]; - Xn2 = pState[1]; - Yn1 = pState[2]; - Yn2 = pState[3]; - - /* The variables acc holds the output value that is computed: - * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] - */ - - sample = blockSize; - - while(sample > 0u) - { - /* Read the input */ - Xn = *pIn++; - - /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ - /* acc = b0 * x[n] */ - acc = (q63_t) b0 *Xn; - - /* acc += b1 * x[n-1] */ - acc += (q63_t) b1 *Xn1; - /* acc += b[2] * x[n-2] */ - acc += (q63_t) b2 *Xn2; - /* acc += a1 * y[n-1] */ - acc += (q63_t) a1 *Yn1; - /* acc += a2 * y[n-2] */ - acc += (q63_t) a2 *Yn2; - - /* The result is converted to 1.31 */ - acc = acc >> lShift; - - /* Every time after the output is computed state should be updated. */ - /* The states should be updated as: */ - /* Xn2 = Xn1 */ - /* Xn1 = Xn */ - /* Yn2 = Yn1 */ - /* Yn1 = acc */ - Xn2 = Xn1; - Xn1 = Xn; - Yn2 = Yn1; - Yn1 = (q31_t) acc; - - /* Store the output in the destination buffer. */ - *pOut++ = (q31_t) acc; - - /* decrement the loop counter */ - sample--; - } - - /* The first stage goes from the input buffer to the output buffer. */ - /* Subsequent stages occur in-place in the output buffer */ - pIn = pDst; - - /* Reset to destination pointer */ - pOut = pDst; - - /* Store the updated state variables back into the pState array */ - *pState++ = Xn1; - *pState++ = Xn2; - *pState++ = Yn1; - *pState++ = Yn2; - - } while(--stage); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ -} - -/** - * @} end of BiquadCascadeDF1 group - */
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df2T_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,359 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* -* Project: CMSIS DSP Library -* Title: arm_biquad_cascade_df2T_f32.c -* -* Description: Processing function for the floating-point transposed -* direct form II Biquad cascade filter. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** -* @ingroup groupFilters -*/ - -/** -* @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure -* -* This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure. -* The filters are implemented as a cascade of second order Biquad sections. -* These functions provide a slight memory savings as compared to the direct form I Biquad filter functions. -* Only floating-point data is supported. -* -* This function operate on blocks of input and output data and each call to the function -* processes <code>blockSize</code> samples through the filter. -* <code>pSrc</code> points to the array of input data and -* <code>pDst</code> points to the array of output data. -* Both arrays contain <code>blockSize</code> values. -* -* \par Algorithm -* Each Biquad stage implements a second order filter using the difference equation: -* <pre> -* y[n] = b0 * x[n] + d1 -* d1 = b1 * x[n] + a1 * y[n] + d2 -* d2 = b2 * x[n] + a2 * y[n] -* </pre> -* where d1 and d2 represent the two state values. -* -* \par -* A Biquad filter using a transposed Direct Form II structure is shown below. -* \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad" -* Coefficients <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients. -* Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients. -* Pay careful attention to the sign of the feedback coefficients. -* Some design tools flip the sign of the feedback coefficients: -* <pre> -* y[n] = b0 * x[n] + d1; -* d1 = b1 * x[n] - a1 * y[n] + d2; -* d2 = b2 * x[n] - a2 * y[n]; -* </pre> -* In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library. -* -* \par -* Higher order filters are realized as a cascade of second order sections. -* <code>numStages</code> refers to the number of second order stages used. -* For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages. -* A 9th order filter would be realized with <code>numStages=5</code> second order stages with the -* coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>). -* -* \par -* <code>pState</code> points to the state variable array. -* Each Biquad stage has 2 state variables <code>d1</code> and <code>d2</code>. -* The state variables are arranged in the <code>pState</code> array as: -* <pre> -* {d11, d12, d21, d22, ...} -* </pre> -* where <code>d1x</code> refers to the state variables for the first Biquad and -* <code>d2x</code> refers to the state variables for the second Biquad. -* The state array has a total length of <code>2*numStages</code> values. -* The state variables are updated after each block of data is processed; the coefficients are untouched. -* -* \par -* The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II. -* The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types. -* That is why the Direct Form I structure supports Q15 and Q31 data types. -* The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables <code>d1</code> and <code>d2</code>. -* Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad. -* The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage. -* -* \par Instance Structure -* The coefficients and state variables for a filter are stored together in an instance data structure. -* A separate instance structure must be defined for each filter. -* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. -* -* \par Init Functions -* There is also an associated initialization function. -* The initialization function performs following operations: -* - Sets the values of the internal structure fields. -* - Zeros out the values in the state buffer. -* To do this manually without calling the init function, assign the follow subfields of the instance structure: -* numStages, pCoeffs, pState. Also set all of the values in pState to zero. -* -* \par -* Use of the initialization function is optional. -* However, if the initialization function is used, then the instance structure cannot be placed into a const data section. -* To place an instance structure into a const data section, the instance structure must be manually initialized. -* Set the values in the state buffer to zeros before static initialization. -* For example, to statically initialize the instance structure use -* <pre> -* arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs}; -* </pre> -* where <code>numStages</code> is the number of Biquad stages in the filter; <code>pState</code> is the address of the state buffer. -* <code>pCoeffs</code> is the address of the coefficient buffer; -* -*/ - -/** -* @addtogroup BiquadCascadeDF2T -* @{ -*/ - -/** -* @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. -* @param[in] *S points to an instance of the filter data structure. -* @param[in] *pSrc points to the block of input data. -* @param[out] *pDst points to the block of output data -* @param[in] blockSize number of samples to process. -* @return none. -*/ - - -LOW_OPTIMIZATION_ENTER -void arm_biquad_cascade_df2T_f32( -const arm_biquad_cascade_df2T_instance_f32 * S, -float32_t * pSrc, -float32_t * pDst, -uint32_t blockSize) -{ - - float32_t *pIn = pSrc; /* source pointer */ - float32_t *pOut = pDst; /* destination pointer */ - float32_t *pState = S->pState; /* State pointer */ - float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */ - float32_t acc1; /* accumulator */ - float32_t b0, b1, b2, a1, a2; /* Filter coefficients */ - float32_t Xn1; /* temporary input */ - float32_t d1, d2; /* state variables */ - uint32_t sample, stage = S->numStages; /* loop counters */ - -#ifndef ARM_MATH_CM0_FAMILY_FAMILY - - float32_t Xn2, Xn3, Xn4; /* Input State variables */ - float32_t acc2, acc3, acc4; /* accumulator */ - - - float32_t p0, p1, p2, p3, p4, A1; - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - do - { - /* Reading the coefficients */ - b0 = *pCoeffs++; - b1 = *pCoeffs++; - b2 = *pCoeffs++; - a1 = *pCoeffs++; - a2 = *pCoeffs++; - - - /*Reading the state values */ - d1 = pState[0]; - d2 = pState[1]; - - /* Apply loop unrolling and compute 4 output values simultaneously. */ - sample = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(sample > 0u) { - - /* y[n] = b0 * x[n] + d1 */ - /* d1 = b1 * x[n] + a1 * y[n] + d2 */ - /* d2 = b2 * x[n] + a2 * y[n] */ - - /* Read the four inputs */ - Xn1 = pIn[0]; - Xn2 = pIn[1]; - Xn3 = pIn[2]; - Xn4 = pIn[3]; - pIn += 4; - - p0 = b0 * Xn1; - p1 = b1 * Xn1; - acc1 = p0 + d1; - p0 = b0 * Xn2; - p3 = a1 * acc1; - p2 = b2 * Xn1; - A1 = p1 + p3; - p4 = a2 * acc1; - d1 = A1 + d2; - d2 = p2 + p4; - - p1 = b1 * Xn2; - acc2 = p0 + d1; - p0 = b0 * Xn3; - p3 = a1 * acc2; - p2 = b2 * Xn2; - A1 = p1 + p3; - p4 = a2 * acc2; - d1 = A1 + d2; - d2 = p2 + p4; - - p1 = b1 * Xn3; - acc3 = p0 + d1; - p0 = b0 * Xn4; - p3 = a1 * acc3; - p2 = b2 * Xn3; - A1 = p1 + p3; - p4 = a2 * acc3; - d1 = A1 + d2; - d2 = p2 + p4; - - acc4 = p0 + d1; - p1 = b1 * Xn4; - p3 = a1 * acc4; - p2 = b2 * Xn4; - A1 = p1 + p3; - p4 = a2 * acc4; - d1 = A1 + d2; - d2 = p2 + p4; - - pOut[0] = acc1; - pOut[1] = acc2; - pOut[2] = acc3; - pOut[3] = acc4; - pOut += 4; - - sample--; - } - - sample = blockSize & 0x3u; - while(sample > 0u) { - Xn1 = *pIn++; - - p0 = b0 * Xn1; - p1 = b1 * Xn1; - acc1 = p0 + d1; - p3 = a1 * acc1; - p2 = b2 * Xn1; - A1 = p1 + p3; - p4 = a2 * acc1; - d1 = A1 + d2; - d2 = p2 + p4; - - *pOut++ = acc1; - - sample--; - } - - /* Store the updated state variables back into the state array */ - *pState++ = d1; - *pState++ = d2; - - /* The current stage input is given as the output to the next stage */ - pIn = pDst; - - /*Reset the output working pointer */ - pOut = pDst; - - /* decrement the loop counter */ - stage--; - - } while(stage > 0u); - -#else - - /* Run the below code for Cortex-M0 */ - - do - { - /* Reading the coefficients */ - b0 = *pCoeffs++; - b1 = *pCoeffs++; - b2 = *pCoeffs++; - a1 = *pCoeffs++; - a2 = *pCoeffs++; - - /*Reading the state values */ - d1 = pState[0]; - d2 = pState[1]; - - - sample = blockSize; - - while(sample > 0u) - { - /* Read the input */ - Xn1 = *pIn++; - - /* y[n] = b0 * x[n] + d1 */ - acc1 = (b0 * Xn1) + d1; - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = acc1; - - /* Every time after the output is computed state should be updated. */ - /* d1 = b1 * x[n] + a1 * y[n] + d2 */ - d1 = ((b1 * Xn1) + (a1 * acc1)) + d2; - - /* d2 = b2 * x[n] + a2 * y[n] */ - d2 = (b2 * Xn1) + (a2 * acc1); - - /* decrement the loop counter */ - sample--; - } - - /* Store the updated state variables back into the state array */ - *pState++ = d1; - *pState++ = d2; - - /* The current stage input is given as the output to the next stage */ - pIn = pDst; - - /*Reset the output working pointer */ - pOut = pDst; - - /* decrement the loop counter */ - stage--; - - } while(stage > 0u); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} -LOW_OPTIMIZATION_EXIT - -/** - * @} end of BiquadCascadeDF2T group - */
--- a/cmsis_dsp/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,102 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_biquad_cascade_df2T_init_f32.c -* -* Description: Initialization function for the floating-point transposed -* direct form II Biquad cascade filter. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup BiquadCascadeDF2T - * @{ - */ - -/** - * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. - * @param[in,out] *S points to an instance of the filter data structure. - * @param[in] numStages number of 2nd order stages in the filter. - * @param[in] *pCoeffs points to the filter coefficients. - * @param[in] *pState points to the state buffer. - * @return none - * - * <b>Coefficient and State Ordering:</b> - * \par - * The coefficients are stored in the array <code>pCoeffs</code> in the following order: - * <pre> - * {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...} - * </pre> - * - * \par - * where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage, - * <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage, - * and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values. - * - * \par - * The <code>pState</code> is a pointer to state array. - * Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code>. - * The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on. - * The state array has a total length of <code>2*numStages</code> values. - * The state variables are updated after each block of data is processed; the coefficients are untouched. - */ - -void arm_biquad_cascade_df2T_init_f32( - arm_biquad_cascade_df2T_instance_f32 * S, - uint8_t numStages, - float32_t * pCoeffs, - float32_t * pState) -{ - /* Assign filter stages */ - S->numStages = numStages; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always 2 * numStages */ - memset(pState, 0, (2u * (uint32_t) numStages) * sizeof(float32_t)); - - /* Assign state pointer */ - S->pState = pState; -} - -/** - * @} end of BiquadCascadeDF2T group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,647 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_f32.c -* -* Description: Convolution of floating-point sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @defgroup Conv Convolution - * - * Convolution is a mathematical operation that operates on two finite length vectors to generate a finite length output vector. - * Convolution is similar to correlation and is frequently used in filtering and data analysis. - * The CMSIS DSP library contains functions for convolving Q7, Q15, Q31, and floating-point data types. - * The library also provides fast versions of the Q15 and Q31 functions on Cortex-M4 and Cortex-M3. - * - * \par Algorithm - * Let <code>a[n]</code> and <code>b[n]</code> be sequences of length <code>srcALen</code> and <code>srcBLen</code> samples respectively. - * Then the convolution - * - * <pre> - * c[n] = a[n] * b[n] - * </pre> - * - * \par - * is defined as - * \image html ConvolutionEquation.gif - * \par - * Note that <code>c[n]</code> is of length <code>srcALen + srcBLen - 1</code> and is defined over the interval <code>n=0, 1, 2, ..., srcALen + srcBLen - 2</code>. - * <code>pSrcA</code> points to the first input vector of length <code>srcALen</code> and - * <code>pSrcB</code> points to the second input vector of length <code>srcBLen</code>. - * The output result is written to <code>pDst</code> and the calling function must allocate <code>srcALen+srcBLen-1</code> words for the result. - * - * \par - * Conceptually, when two signals <code>a[n]</code> and <code>b[n]</code> are convolved, - * the signal <code>b[n]</code> slides over <code>a[n]</code>. - * For each offset \c n, the overlapping portions of a[n] and b[n] are multiplied and summed together. - * - * \par - * Note that convolution is a commutative operation: - * - * <pre> - * a[n] * b[n] = b[n] * a[n]. - * </pre> - * - * \par - * This means that switching the A and B arguments to the convolution functions has no effect. - * - * <b>Fixed-Point Behavior</b> - * - * \par - * Convolution requires summing up a large number of intermediate products. - * As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation. - * Refer to the function specific documentation below for further details of the particular algorithm used. - * - * - * <b>Fast Versions</b> - * - * \par - * Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of conv and the design requires - * the input signals should be scaled down to avoid intermediate overflows. - * - * - * <b>Opt Versions</b> - * - * \par - * Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. - * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions - */ - -/** - * @addtogroup Conv - * @{ - */ - -/** - * @brief Convolution of floating-point sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. - * @return none. - */ - -void arm_conv_f32( - float32_t * pSrcA, - uint32_t srcALen, - float32_t * pSrcB, - uint32_t srcBLen, - float32_t * pDst) -{ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - float32_t *pIn1; /* inputA pointer */ - float32_t *pIn2; /* inputB pointer */ - float32_t *pOut = pDst; /* output pointer */ - float32_t *px; /* Intermediate inputA pointer */ - float32_t *py; /* Intermediate inputB pointer */ - float32_t *pSrc1, *pSrc2; /* Intermediate pointers */ - float32_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ - float32_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3; /* loop counters */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* The algorithm is implemented in three stages. - The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = srcALen - (srcBLen - 1u); - blockSize3 = blockSize1; - - /* -------------------------- - * initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first stage starts here */ - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0.0f; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] * y[srcBLen - 1] */ - sum += *px++ * *py--; - - /* x[1] * y[srcBLen - 2] */ - sum += *px++ * *py--; - - /* x[2] * y[srcBLen - 3] */ - sum += *px++ * *py--; - - /* x[3] * y[srcBLen - 4] */ - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum; - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pIn2 + count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = blockSize2 >> 2u; - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0.0f; - acc1 = 0.0f; - acc2 = 0.0f; - acc3 = 0.0f; - - /* read x[0], x[1], x[2] samples */ - x0 = *(px++); - x1 = *(px++); - x2 = *(px++); - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read y[srcBLen - 1] sample */ - c0 = *(py--); - - /* Read x[3] sample */ - x3 = *(px); - - /* Perform the multiply-accumulate */ - /* acc0 += x[0] * y[srcBLen - 1] */ - acc0 += x0 * c0; - - /* acc1 += x[1] * y[srcBLen - 1] */ - acc1 += x1 * c0; - - /* acc2 += x[2] * y[srcBLen - 1] */ - acc2 += x2 * c0; - - /* acc3 += x[3] * y[srcBLen - 1] */ - acc3 += x3 * c0; - - /* Read y[srcBLen - 2] sample */ - c0 = *(py--); - - /* Read x[4] sample */ - x0 = *(px + 1u); - - /* Perform the multiply-accumulate */ - /* acc0 += x[1] * y[srcBLen - 2] */ - acc0 += x1 * c0; - /* acc1 += x[2] * y[srcBLen - 2] */ - acc1 += x2 * c0; - /* acc2 += x[3] * y[srcBLen - 2] */ - acc2 += x3 * c0; - /* acc3 += x[4] * y[srcBLen - 2] */ - acc3 += x0 * c0; - - /* Read y[srcBLen - 3] sample */ - c0 = *(py--); - - /* Read x[5] sample */ - x1 = *(px + 2u); - - /* Perform the multiply-accumulates */ - /* acc0 += x[2] * y[srcBLen - 3] */ - acc0 += x2 * c0; - /* acc1 += x[3] * y[srcBLen - 2] */ - acc1 += x3 * c0; - /* acc2 += x[4] * y[srcBLen - 2] */ - acc2 += x0 * c0; - /* acc3 += x[5] * y[srcBLen - 2] */ - acc3 += x1 * c0; - - /* Read y[srcBLen - 4] sample */ - c0 = *(py--); - - /* Read x[6] sample */ - x2 = *(px + 3u); - px += 4u; - - /* Perform the multiply-accumulates */ - /* acc0 += x[3] * y[srcBLen - 4] */ - acc0 += x3 * c0; - /* acc1 += x[4] * y[srcBLen - 4] */ - acc1 += x0 * c0; - /* acc2 += x[5] * y[srcBLen - 4] */ - acc2 += x1 * c0; - /* acc3 += x[6] * y[srcBLen - 4] */ - acc3 += x2 * c0; - - - } while(--k); - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Read y[srcBLen - 5] sample */ - c0 = *(py--); - - /* Read x[7] sample */ - x3 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[4] * y[srcBLen - 5] */ - acc0 += x0 * c0; - /* acc1 += x[5] * y[srcBLen - 5] */ - acc1 += x1 * c0; - /* acc2 += x[6] * y[srcBLen - 5] */ - acc2 += x2 * c0; - /* acc3 += x[7] * y[srcBLen - 5] */ - acc3 += x3 * c0; - - /* Reuse the present samples for the next MAC */ - x0 = x1; - x1 = x2; - x2 = x3; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = acc0; - *pOut++ = acc1; - *pOut++ = acc2; - *pOut++ = acc3; - - /* Increment the pointer pIn1 index, count by 4 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - - /* Decrement the loop counter */ - blkCnt--; - } - - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0.0f; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += *px++ * *py--; - sum += *px++ * *py--; - sum += *px++ * *py--; - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0.0f; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The blockSize3 variable holds the number of MAC operations performed */ - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0.0f; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = blockSize3 >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ - sum += *px++ * *py--; - - /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ - sum += *px++ * *py--; - - /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ - sum += *px++ * *py--; - - /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = blockSize3 % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen-1] * y[srcBLen-1] */ - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the loop counter */ - blockSize3--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - float32_t *pIn1 = pSrcA; /* inputA pointer */ - float32_t *pIn2 = pSrcB; /* inputB pointer */ - float32_t sum; /* Accumulator */ - uint32_t i, j; /* loop counters */ - - /* Loop to calculate convolution for output length number of times */ - for (i = 0u; i < ((srcALen + srcBLen) - 1u); i++) - { - /* Initialize sum with zero to carry out MAC operations */ - sum = 0.0f; - - /* Loop to perform MAC operations according to convolution equation */ - for (j = 0u; j <= i; j++) - { - /* Check the array limitations */ - if((((i - j) < srcBLen) && (j < srcALen))) - { - /* z[i] += x[i-j] * y[j] */ - sum += pIn1[j] * pIn2[i - j]; - } - } - /* Store the output in the destination buffer */ - pDst[i] = sum; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of Conv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_fast_opt_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,543 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_fast_opt_q15.c -* -* Description: Fast Q15 Convolution. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Conv - * @{ - */ - -/** - * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. - * @param[in] *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] *pScratch2 points to scratch buffer of size min(srcALen, srcBLen). - * @return none. - * - * \par Restrictions - * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE - * In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit - * - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * This fast version uses a 32-bit accumulator with 2.30 format. - * The accumulator maintains full precision of the intermediate multiplication results - * but provides only a single guard bit. There is no saturation on intermediate additions. - * Thus, if the accumulator overflows it wraps around and distorts the result. - * The input signals should be scaled down to avoid intermediate overflows. - * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, - * as maximum of min(srcALen, srcBLen) number of additions are carried internally. - * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. - * - * \par - * See <code>arm_conv_q15()</code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. - */ - -void arm_conv_fast_opt_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - q15_t * pScratch1, - q15_t * pScratch2) -{ - q31_t acc0, acc1, acc2, acc3; /* Accumulators */ - q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ - q31_t y1, y2; /* State variables */ - q15_t *pOut = pDst; /* output pointer */ - q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ - q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - uint32_t j, k, blkCnt; /* loop counter */ - uint32_t tapCnt; /* loop count */ -#ifdef UNALIGNED_SUPPORT_DISABLE - - q15_t a, b; - -#endif /* #ifdef UNALIGNED_SUPPORT_DISABLE */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* Pointer to take end of scratch2 buffer */ - pScr2 = pScratch2 + srcBLen - 1; - - /* points to smaller length sequence */ - px = pIn2; - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - - /* Copy smaller length input sequence in reverse order into second scratch buffer */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr2-- = *px++; - *pScr2-- = *px++; - *pScr2-- = *px++; - *pScr2-- = *px++; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr2-- = *px++; - - /* Decrement the loop counter */ - k--; - } - - /* Initialze temporary scratch pointer */ - pScr1 = pScratch1; - - /* Assuming scratch1 buffer is aligned by 32-bit */ - /* Fill (srcBLen - 1u) zeros in scratch1 buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update temporary scratch pointer */ - pScr1 += (srcBLen - 1u); - - /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Copy (srcALen) samples in scratch buffer */ - arm_copy_q15(pIn1, pScr1, srcALen); - - /* Update pointers */ - pScr1 += srcALen; - -#else - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcALen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr1++ = *pIn1++; - *pScr1++ = *pIn1++; - *pScr1++ = *pIn1++; - *pScr1++ = *pIn1++; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcALen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr1++ = *pIn1++; - - /* Decrement the loop counter */ - k--; - } - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Fill (srcBLen - 1u) zeros at end of scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update pointer */ - pScr1 += (srcBLen - 1u); - -#else - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = (srcBLen - 1u) >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = (srcBLen - 1u) % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* Temporary pointer for scratch2 */ - py = pScratch2; - - - /* Initialization of pIn2 pointer */ - pIn2 = py; - - /* First part of the processing with loop unrolling process 4 data points at a time. - ** a second loop below process for the remaining 1 to 3 samples. */ - - /* Actual convolution process starts here */ - blkCnt = (srcALen + srcBLen - 1u) >> 2; - - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Read two samples from scratch1 buffer */ - x1 = *__SIMD32(pScr1)++; - - /* Read next two samples from scratch1 buffer */ - x2 = *__SIMD32(pScr1)++; - - tapCnt = (srcBLen) >> 2u; - - while(tapCnt > 0u) - { - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Read four samples from smaller buffer */ - y1 = _SIMD32_OFFSET(pIn2); - y2 = _SIMD32_OFFSET(pIn2 + 2u); - - /* multiply and accumlate */ - acc0 = __SMLAD(x1, y1, acc0); - acc2 = __SMLAD(x2, y1, acc2); - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - /* multiply and accumlate */ - acc1 = __SMLADX(x3, y1, acc1); - - /* Read next two samples from scratch1 buffer */ - x1 = _SIMD32_OFFSET(pScr1); - - /* multiply and accumlate */ - acc0 = __SMLAD(x2, y2, acc0); - acc2 = __SMLAD(x1, y2, acc2); - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x1, x2, 0); -#else - x3 = __PKHBT(x2, x1, 0); -#endif - - acc3 = __SMLADX(x3, y1, acc3); - acc1 = __SMLADX(x3, y2, acc1); - - x2 = _SIMD32_OFFSET(pScr1 + 2u); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc3 = __SMLADX(x3, y2, acc3); - -#else - - /* Read four samples from smaller buffer */ - a = *pIn2; - b = *(pIn2 + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - y1 = __PKHBT(a, b, 16); -#else - y1 = __PKHBT(b, a, 16); -#endif - - a = *(pIn2 + 2); - b = *(pIn2 + 3); -#ifndef ARM_MATH_BIG_ENDIAN - y2 = __PKHBT(a, b, 16); -#else - y2 = __PKHBT(b, a, 16); -#endif - - acc0 = __SMLAD(x1, y1, acc0); - - acc2 = __SMLAD(x2, y1, acc2); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc1 = __SMLADX(x3, y1, acc1); - - a = *pScr1; - b = *(pScr1 + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(a, b, 16); -#else - x1 = __PKHBT(b, a, 16); -#endif - - acc0 = __SMLAD(x2, y2, acc0); - - acc2 = __SMLAD(x1, y2, acc2); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x1, x2, 0); -#else - x3 = __PKHBT(x2, x1, 0); -#endif - - acc3 = __SMLADX(x3, y1, acc3); - - acc1 = __SMLADX(x3, y2, acc1); - - a = *(pScr1 + 2); - b = *(pScr1 + 3); - -#ifndef ARM_MATH_BIG_ENDIAN - x2 = __PKHBT(a, b, 16); -#else - x2 = __PKHBT(b, a, 16); -#endif - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc3 = __SMLADX(x3, y2, acc3); - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* update scratch pointers */ - pIn2 += 4u; - pScr1 += 4u; - - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Update scratch pointer for remaining samples of smaller length sequence */ - pScr1 -= 4u; - - /* apply same above for remaining samples of smaller length sequence */ - tapCnt = (srcBLen) & 3u; - - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pIn2); - acc1 += (*pScr1++ * *pIn2); - acc2 += (*pScr1++ * *pIn2); - acc3 += (*pScr1++ * *pIn2++); - - pScr1 -= 3u; - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - - /* Store the results in the accumulators in the destination buffer. */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); - - -#else - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); - - - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch1 += 4u; - - } - - - blkCnt = (srcALen + srcBLen - 1u) & 0x3; - - /* Calculate convolution for remaining samples of Bigger length sequence */ - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - - tapCnt = (srcBLen) >> 1u; - - while(tapCnt > 0u) - { - - acc0 += (*pScr1++ * *pIn2++); - acc0 += (*pScr1++ * *pIn2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (srcBLen) & 1u; - - /* apply same above for remaining samples of smaller length sequence */ - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pIn2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* The result is in 2.30 format. Convert to 1.15 with saturation. - ** Then store the output in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch1 += 1u; - - } - -} - -/** - * @} end of Conv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_fast_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,1410 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_fast_q15.c -* -* Description: Fast Q15 Convolution. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Conv - * @{ - */ - -/** - * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * This fast version uses a 32-bit accumulator with 2.30 format. - * The accumulator maintains full precision of the intermediate multiplication results - * but provides only a single guard bit. There is no saturation on intermediate additions. - * Thus, if the accumulator overflows it wraps around and distorts the result. - * The input signals should be scaled down to avoid intermediate overflows. - * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, - * as maximum of min(srcALen, srcBLen) number of additions are carried internally. - * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. - * - * \par - * See <code>arm_conv_q15()</code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. - */ - -void arm_conv_fast_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst) -{ -#ifndef UNALIGNED_SUPPORT_DISABLE - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *pOut = pDst; /* output pointer */ - q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ - q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt; /* loop counter */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* The algorithm is implemented in three stages. - The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = srcALen - (srcBLen - 1u); - blockSize3 = blockSize1; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* For loop unrolling by 4, this stage is divided into two. */ - /* First part of this stage computes the MAC operations less than 4 */ - /* Second part of this stage computes the MAC operations greater than or equal to 4 */ - - /* The first part of the stage starts here */ - while((count < 4u) && (blockSize1 > 0u)) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Loop over number of MAC operations between - * inputA samples and inputB samples */ - k = count; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = __SMLAD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pIn2 + count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* The second part of the stage starts here */ - /* The internal loop, over count, is unrolled by 4 */ - /* To, read the last two inputB samples using SIMD: - * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ - py = py - 1; - - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ - sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ - sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* For the next MAC operations, the pointer py is used without SIMD - * So, py is incremented by 1 */ - py = py + 1u; - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = __SMLAD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pIn2 + (count - 1u); - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is the index by which the pointer pIn1 to be incremented */ - count = 0u; - - - /* -------------------- - * Stage2 process - * -------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = blockSize2 >> 2u; - - while(blkCnt > 0u) - { - py = py - 1u; - - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - - /* read x[0], x[1] samples */ - x0 = *__SIMD32(px); - /* read x[1], x[2] samples */ - x1 = _SIMD32_OFFSET(px+1); - px+= 2u; - - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read the last two inputB samples using SIMD: - * y[srcBLen - 1] and y[srcBLen - 2] */ - c0 = *__SIMD32(py)--; - - /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ - acc0 = __SMLADX(x0, c0, acc0); - - /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ - acc1 = __SMLADX(x1, c0, acc1); - - /* Read x[2], x[3] */ - x2 = *__SIMD32(px); - - /* Read x[3], x[4] */ - x3 = _SIMD32_OFFSET(px+1); - - /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ - acc2 = __SMLADX(x2, c0, acc2); - - /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ - acc3 = __SMLADX(x3, c0, acc3); - - /* Read y[srcBLen - 3] and y[srcBLen - 4] */ - c0 = *__SIMD32(py)--; - - /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ - acc0 = __SMLADX(x2, c0, acc0); - - /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ - acc1 = __SMLADX(x3, c0, acc1); - - /* Read x[4], x[5] */ - x0 = _SIMD32_OFFSET(px+2); - - /* Read x[5], x[6] */ - x1 = _SIMD32_OFFSET(px+3); - px += 4u; - - /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ - acc2 = __SMLADX(x0, c0, acc2); - - /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ - acc3 = __SMLADX(x1, c0, acc3); - - } while(--k); - - /* For the next MAC operations, SIMD is not used - * So, the 16 bit pointer if inputB, py is updated */ - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - if(k == 1u) - { - /* Read y[srcBLen - 5] */ - c0 = *(py+1); - -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; - -#else - - c0 = c0 & 0x0000FFFF; - -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[7] */ - x3 = *__SIMD32(px); - px++; - - /* Perform the multiply-accumulates */ - acc0 = __SMLAD(x0, c0, acc0); - acc1 = __SMLAD(x1, c0, acc1); - acc2 = __SMLADX(x1, c0, acc2); - acc3 = __SMLADX(x3, c0, acc3); - } - - if(k == 2u) - { - /* Read y[srcBLen - 5], y[srcBLen - 6] */ - c0 = _SIMD32_OFFSET(py); - - /* Read x[7], x[8] */ - x3 = *__SIMD32(px); - - /* Read x[9] */ - x2 = _SIMD32_OFFSET(px+1); - px += 2u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x0, c0, acc0); - acc1 = __SMLADX(x1, c0, acc1); - acc2 = __SMLADX(x3, c0, acc2); - acc3 = __SMLADX(x2, c0, acc3); - } - - if(k == 3u) - { - /* Read y[srcBLen - 5], y[srcBLen - 6] */ - c0 = _SIMD32_OFFSET(py); - - /* Read x[7], x[8] */ - x3 = *__SIMD32(px); - - /* Read x[9] */ - x2 = _SIMD32_OFFSET(px+1); - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x0, c0, acc0); - acc1 = __SMLADX(x1, c0, acc1); - acc2 = __SMLADX(x3, c0, acc2); - acc3 = __SMLADX(x2, c0, acc3); - - /* Read y[srcBLen - 7] */ - c0 = *(py-1); -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; -#else - - c0 = c0 & 0x0000FFFF; -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[10] */ - x3 = _SIMD32_OFFSET(px+2); - px += 3u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x1, c0, acc0); - acc1 = __SMLAD(x2, c0, acc1); - acc2 = __SMLADX(x2, c0, acc2); - acc3 = __SMLADX(x3, c0, acc3); - } - - /* Store the results in the accumulators in the destination buffer. */ -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pOut)++ = __PKHBT((acc0 >> 15), (acc1 >> 15), 16); - *__SIMD32(pOut)++ = __PKHBT((acc2 >> 15), (acc3 >> 15), 16); - -#else - - *__SIMD32(pOut)++ = __PKHBT((acc1 >> 15), (acc0 >> 15), 16); - *__SIMD32(pOut)++ = __PKHBT((acc3 >> 15), (acc2 >> 15), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Increment the pointer pIn1 index, count by 4 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Increment the pointer pIn1 index, count by 1 */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The blockSize3 variable holds the number of MAC operations performed */ - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - pIn2 = pSrc2 - 1u; - py = pIn2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - /* For loop unrolling by 4, this stage is divided into two. */ - /* First part of this stage computes the MAC operations greater than 4 */ - /* Second part of this stage computes the MAC operations less than or equal to 4 */ - - /* The first part of the stage starts here */ - j = blockSize3 >> 2u; - - while((j > 0u) && (blockSize3 > 0u)) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = blockSize3 >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied - * with y[srcBLen - 1], y[srcBLen - 2] respectively */ - sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied - * with y[srcBLen - 3], y[srcBLen - 4] respectively */ - sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* For the next MAC operations, the pointer py is used without SIMD - * So, py is incremented by 1 */ - py = py + 1u; - - /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = blockSize3 % 0x4u; - - while(k > 0u) - { - /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ - sum = __SMLAD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pIn2; - - /* Decrement the loop counter */ - blockSize3--; - - j--; - } - - /* The second part of the stage starts here */ - /* SIMD is not used for the next MAC operations, - * so pointer py is updated to read only one sample at a time */ - py = py + 1u; - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = blockSize3; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen-1] * y[srcBLen-1] */ - sum = __SMLAD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the loop counter */ - blockSize3--; - } - -#else - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *pOut = pDst; /* output pointer */ - q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ - q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt; /* loop counter */ - q15_t a, b; - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* The algorithm is implemented in three stages. - The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = srcALen - (srcBLen - 1u); - blockSize3 = blockSize1; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* For loop unrolling by 4, this stage is divided into two. */ - /* First part of this stage computes the MAC operations less than 4 */ - /* Second part of this stage computes the MAC operations greater than or equal to 4 */ - - /* The first part of the stage starts here */ - while((count < 4u) && (blockSize1 > 0u)) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Loop over number of MAC operations between - * inputA samples and inputB samples */ - k = count; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pIn2 + count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* The second part of the stage starts here */ - /* The internal loop, over count, is unrolled by 4 */ - /* To, read the last two inputB samples using SIMD: - * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ - py = py - 1; - - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - py++; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pIn2 + (count - 1u); - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is the index by which the pointer pIn1 to be incremented */ - count = 0u; - - - /* -------------------- - * Stage2 process - * -------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = blockSize2 >> 2u; - - while(blkCnt > 0u) - { - py = py - 1u; - - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* read x[0], x[1] samples */ - a = *px++; - b = *px++; - -#ifndef ARM_MATH_BIG_ENDIAN - - x0 = __PKHBT(a, b, 16); - a = *px; - x1 = __PKHBT(b, a, 16); - -#else - - x0 = __PKHBT(b, a, 16); - a = *px; - x1 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read the last two inputB samples using SIMD: - * y[srcBLen - 1] and y[srcBLen - 2] */ - a = *py; - b = *(py+1); - py -= 2; - -#ifndef ARM_MATH_BIG_ENDIAN - - c0 = __PKHBT(a, b, 16); - -#else - - c0 = __PKHBT(b, a, 16);; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ - acc0 = __SMLADX(x0, c0, acc0); - - /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ - acc1 = __SMLADX(x1, c0, acc1); - - a = *px; - b = *(px + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - - x2 = __PKHBT(a, b, 16); - a = *(px + 2); - x3 = __PKHBT(b, a, 16); - -#else - - x2 = __PKHBT(b, a, 16); - a = *(px + 2); - x3 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ - acc2 = __SMLADX(x2, c0, acc2); - - /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ - acc3 = __SMLADX(x3, c0, acc3); - - /* Read y[srcBLen - 3] and y[srcBLen - 4] */ - a = *py; - b = *(py+1); - py -= 2; - -#ifndef ARM_MATH_BIG_ENDIAN - - c0 = __PKHBT(a, b, 16); - -#else - - c0 = __PKHBT(b, a, 16);; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ - acc0 = __SMLADX(x2, c0, acc0); - - /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ - acc1 = __SMLADX(x3, c0, acc1); - - /* Read x[4], x[5], x[6] */ - a = *(px + 2); - b = *(px + 3); - -#ifndef ARM_MATH_BIG_ENDIAN - - x0 = __PKHBT(a, b, 16); - a = *(px + 4); - x1 = __PKHBT(b, a, 16); - -#else - - x0 = __PKHBT(b, a, 16); - a = *(px + 4); - x1 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - px += 4u; - - /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ - acc2 = __SMLADX(x0, c0, acc2); - - /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ - acc3 = __SMLADX(x1, c0, acc3); - - } while(--k); - - /* For the next MAC operations, SIMD is not used - * So, the 16 bit pointer if inputB, py is updated */ - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - if(k == 1u) - { - /* Read y[srcBLen - 5] */ - c0 = *(py+1); - -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; - -#else - - c0 = c0 & 0x0000FFFF; - -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[7] */ - a = *px; - b = *(px+1); - px++; - -#ifndef ARM_MATH_BIG_ENDIAN - - x3 = __PKHBT(a, b, 16); - -#else - - x3 = __PKHBT(b, a, 16);; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - - /* Perform the multiply-accumulates */ - acc0 = __SMLAD(x0, c0, acc0); - acc1 = __SMLAD(x1, c0, acc1); - acc2 = __SMLADX(x1, c0, acc2); - acc3 = __SMLADX(x3, c0, acc3); - } - - if(k == 2u) - { - /* Read y[srcBLen - 5], y[srcBLen - 6] */ - a = *py; - b = *(py+1); - -#ifndef ARM_MATH_BIG_ENDIAN - - c0 = __PKHBT(a, b, 16); - -#else - - c0 = __PKHBT(b, a, 16);; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Read x[7], x[8], x[9] */ - a = *px; - b = *(px + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - - x3 = __PKHBT(a, b, 16); - a = *(px + 2); - x2 = __PKHBT(b, a, 16); - -#else - - x3 = __PKHBT(b, a, 16); - a = *(px + 2); - x2 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - px += 2u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x0, c0, acc0); - acc1 = __SMLADX(x1, c0, acc1); - acc2 = __SMLADX(x3, c0, acc2); - acc3 = __SMLADX(x2, c0, acc3); - } - - if(k == 3u) - { - /* Read y[srcBLen - 5], y[srcBLen - 6] */ - a = *py; - b = *(py+1); - -#ifndef ARM_MATH_BIG_ENDIAN - - c0 = __PKHBT(a, b, 16); - -#else - - c0 = __PKHBT(b, a, 16);; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Read x[7], x[8], x[9] */ - a = *px; - b = *(px + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - - x3 = __PKHBT(a, b, 16); - a = *(px + 2); - x2 = __PKHBT(b, a, 16); - -#else - - x3 = __PKHBT(b, a, 16); - a = *(px + 2); - x2 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x0, c0, acc0); - acc1 = __SMLADX(x1, c0, acc1); - acc2 = __SMLADX(x3, c0, acc2); - acc3 = __SMLADX(x2, c0, acc3); - - /* Read y[srcBLen - 7] */ - c0 = *(py-1); -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; -#else - - c0 = c0 & 0x0000FFFF; -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[10] */ - a = *(px+2); - b = *(px+3); - -#ifndef ARM_MATH_BIG_ENDIAN - - x3 = __PKHBT(a, b, 16); - -#else - - x3 = __PKHBT(b, a, 16);; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - px += 3u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x1, c0, acc0); - acc1 = __SMLAD(x2, c0, acc1); - acc2 = __SMLADX(x2, c0, acc2); - acc3 = __SMLADX(x3, c0, acc3); - } - - /* Store the results in the accumulators in the destination buffer. */ - *pOut++ = (q15_t)(acc0 >> 15); - *pOut++ = (q15_t)(acc1 >> 15); - *pOut++ = (q15_t)(acc2 >> 15); - *pOut++ = (q15_t)(acc3 >> 15); - - /* Increment the pointer pIn1 index, count by 4 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Increment the pointer pIn1 index, count by 1 */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The blockSize3 variable holds the number of MAC operations performed */ - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - pIn2 = pSrc2 - 1u; - py = pIn2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - /* For loop unrolling by 4, this stage is divided into two. */ - /* First part of this stage computes the MAC operations greater than 4 */ - /* Second part of this stage computes the MAC operations less than or equal to 4 */ - - /* The first part of the stage starts here */ - j = blockSize3 >> 2u; - - while((j > 0u) && (blockSize3 > 0u)) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = blockSize3 >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - py++; - - while(k > 0u) - { - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - /* Decrement the loop counter */ - k--; - } - - /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = blockSize3 % 0x4u; - - while(k > 0u) - { - /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pIn2; - - /* Decrement the loop counter */ - blockSize3--; - - j--; - } - - /* The second part of the stage starts here */ - /* SIMD is not used for the next MAC operations, - * so pointer py is updated to read only one sample at a time */ - py = py + 1u; - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = blockSize3; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen-1] * y[srcBLen-1] */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the loop counter */ - blockSize3--; - } - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ -} - -/** - * @} end of Conv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_fast_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,577 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_fast_q31.c -* -* Description: Q31 Convolution (fast version). -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Conv - * @{ - */ - -/** - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * This function is optimized for speed at the expense of fixed-point precision and overflow protection. - * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. - * These intermediate results are accumulated in a 32-bit register in 2.30 format. - * Finally, the accumulator is saturated and converted to a 1.31 result. - * - * \par - * The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result. - * In order to avoid overflows completely the input signals must be scaled down. - * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, - * as maximum of min(srcALen, srcBLen) number of additions are carried internally. - * - * \par - * See <code>arm_conv_q31()</code> for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. - */ - -void arm_conv_fast_q31( - q31_t * pSrcA, - uint32_t srcALen, - q31_t * pSrcB, - uint32_t srcBLen, - q31_t * pDst) -{ - q31_t *pIn1; /* inputA pointer */ - q31_t *pIn2; /* inputB pointer */ - q31_t *pOut = pDst; /* output pointer */ - q31_t *px; /* Intermediate inputA pointer */ - q31_t *py; /* Intermediate inputB pointer */ - q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ - q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ - q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3; /* loop counter */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* The algorithm is implemented in three stages. - The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = srcALen - (srcBLen - 1u); - blockSize3 = blockSize1; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first stage starts here */ - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] * y[srcBLen - 1] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* x[1] * y[srcBLen - 2] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* x[2] * y[srcBLen - 3] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* x[3] * y[srcBLen - 4] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum << 1; - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pIn2 + count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = blockSize2 >> 2u; - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* read x[0], x[1], x[2] samples */ - x0 = *(px++); - x1 = *(px++); - x2 = *(px++); - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read y[srcBLen - 1] sample */ - c0 = *(py--); - - /* Read x[3] sample */ - x3 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[0] * y[srcBLen - 1] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); - - /* acc1 += x[1] * y[srcBLen - 1] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); - - /* acc2 += x[2] * y[srcBLen - 1] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); - - /* acc3 += x[3] * y[srcBLen - 1] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); - - /* Read y[srcBLen - 2] sample */ - c0 = *(py--); - - /* Read x[4] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - /* acc0 += x[1] * y[srcBLen - 2] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32); - /* acc1 += x[2] * y[srcBLen - 2] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32); - /* acc2 += x[3] * y[srcBLen - 2] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32); - /* acc3 += x[4] * y[srcBLen - 2] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32); - - /* Read y[srcBLen - 3] sample */ - c0 = *(py--); - - /* Read x[5] sample */ - x1 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[2] * y[srcBLen - 3] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32); - /* acc1 += x[3] * y[srcBLen - 3] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32); - /* acc2 += x[4] * y[srcBLen - 3] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32); - /* acc3 += x[5] * y[srcBLen - 3] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32); - - /* Read y[srcBLen - 4] sample */ - c0 = *(py--); - - /* Read x[6] sample */ - x2 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[3] * y[srcBLen - 4] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32); - /* acc1 += x[4] * y[srcBLen - 4] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32); - /* acc2 += x[5] * y[srcBLen - 4] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32); - /* acc3 += x[6] * y[srcBLen - 4] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32); - - - } while(--k); - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Read y[srcBLen - 5] sample */ - c0 = *(py--); - - /* Read x[7] sample */ - x3 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[4] * y[srcBLen - 5] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); - /* acc1 += x[5] * y[srcBLen - 5] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); - /* acc2 += x[6] * y[srcBLen - 5] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); - /* acc3 += x[7] * y[srcBLen - 5] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); - - /* Reuse the present samples for the next MAC */ - x0 = x1; - x1 = x2; - x2 = x3; - - /* Decrement the loop counter */ - k--; - } - - /* Store the results in the accumulators in the destination buffer. */ - *pOut++ = (q31_t) (acc0 << 1); - *pOut++ = (q31_t) (acc1 << 1); - *pOut++ = (q31_t) (acc2 << 1); - *pOut++ = (q31_t) (acc3 << 1); - - /* Increment the pointer pIn1 index, count by 4 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum << 1; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum << 1; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The blockSize3 variable holds the number of MAC operations performed */ - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = blockSize3 >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = blockSize3 % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum << 1; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the loop counter */ - blockSize3--; - } - -} - -/** - * @} end of Conv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_opt_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,545 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_opt_q15.c -* -* Description: Convolution of Q15 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Conv - * @{ - */ - -/** - * @brief Convolution of Q15 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. - * @param[in] *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] *pScratch2 points to scratch buffer of size min(srcALen, srcBLen). - * @return none. - * - * \par Restrictions - * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE - * In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit - * - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 64-bit internal accumulator. - * Both inputs are in 1.15 format and multiplications yield a 2.30 result. - * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. - * This approach provides 33 guard bits and there is no risk of overflow. - * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. - * - * - * \par - * Refer to <code>arm_conv_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. - * - * - */ - -void arm_conv_opt_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - q15_t * pScratch1, - q15_t * pScratch2) -{ - q63_t acc0, acc1, acc2, acc3; /* Accumulator */ - q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ - q31_t y1, y2; /* State variables */ - q15_t *pOut = pDst; /* output pointer */ - q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ - q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - uint32_t j, k, blkCnt; /* loop counter */ - uint32_t tapCnt; /* loop count */ -#ifdef UNALIGNED_SUPPORT_DISABLE - - q15_t a, b; - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* pointer to take end of scratch2 buffer */ - pScr2 = pScratch2 + srcBLen - 1; - - /* points to smaller length sequence */ - px = pIn2; - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - /* Copy smaller length input sequence in reverse order into second scratch buffer */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr2-- = *px++; - *pScr2-- = *px++; - *pScr2-- = *px++; - *pScr2-- = *px++; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr2-- = *px++; - - /* Decrement the loop counter */ - k--; - } - - /* Initialze temporary scratch pointer */ - pScr1 = pScratch1; - - /* Assuming scratch1 buffer is aligned by 32-bit */ - /* Fill (srcBLen - 1u) zeros in scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update temporary scratch pointer */ - pScr1 += (srcBLen - 1u); - - /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Copy (srcALen) samples in scratch buffer */ - arm_copy_q15(pIn1, pScr1, srcALen); - - /* Update pointers */ - pScr1 += srcALen; - -#else - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcALen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr1++ = *pIn1++; - *pScr1++ = *pIn1++; - *pScr1++ = *pIn1++; - *pScr1++ = *pIn1++; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcALen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr1++ = *pIn1++; - - /* Decrement the loop counter */ - k--; - } - -#endif - - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Fill (srcBLen - 1u) zeros at end of scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update pointer */ - pScr1 += (srcBLen - 1u); - -#else - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = (srcBLen - 1u) >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = (srcBLen - 1u) % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - -#endif - - /* Temporary pointer for scratch2 */ - py = pScratch2; - - - /* Initialization of pIn2 pointer */ - pIn2 = py; - - /* First part of the processing with loop unrolling process 4 data points at a time. - ** a second loop below process for the remaining 1 to 3 samples. */ - - /* Actual convolution process starts here */ - blkCnt = (srcALen + srcBLen - 1u) >> 2; - - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Read two samples from scratch1 buffer */ - x1 = *__SIMD32(pScr1)++; - - /* Read next two samples from scratch1 buffer */ - x2 = *__SIMD32(pScr1)++; - - tapCnt = (srcBLen) >> 2u; - - while(tapCnt > 0u) - { - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Read four samples from smaller buffer */ - y1 = _SIMD32_OFFSET(pIn2); - y2 = _SIMD32_OFFSET(pIn2 + 2u); - - /* multiply and accumlate */ - acc0 = __SMLALD(x1, y1, acc0); - acc2 = __SMLALD(x2, y1, acc2); - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - /* multiply and accumlate */ - acc1 = __SMLALDX(x3, y1, acc1); - - /* Read next two samples from scratch1 buffer */ - x1 = _SIMD32_OFFSET(pScr1); - - /* multiply and accumlate */ - acc0 = __SMLALD(x2, y2, acc0); - acc2 = __SMLALD(x1, y2, acc2); - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x1, x2, 0); -#else - x3 = __PKHBT(x2, x1, 0); -#endif - - acc3 = __SMLALDX(x3, y1, acc3); - acc1 = __SMLALDX(x3, y2, acc1); - - x2 = _SIMD32_OFFSET(pScr1 + 2u); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc3 = __SMLALDX(x3, y2, acc3); - -#else - - /* Read four samples from smaller buffer */ - a = *pIn2; - b = *(pIn2 + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - y1 = __PKHBT(a, b, 16); -#else - y1 = __PKHBT(b, a, 16); -#endif - - a = *(pIn2 + 2); - b = *(pIn2 + 3); -#ifndef ARM_MATH_BIG_ENDIAN - y2 = __PKHBT(a, b, 16); -#else - y2 = __PKHBT(b, a, 16); -#endif - - acc0 = __SMLALD(x1, y1, acc0); - - acc2 = __SMLALD(x2, y1, acc2); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc1 = __SMLALDX(x3, y1, acc1); - - a = *pScr1; - b = *(pScr1 + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(a, b, 16); -#else - x1 = __PKHBT(b, a, 16); -#endif - - acc0 = __SMLALD(x2, y2, acc0); - - acc2 = __SMLALD(x1, y2, acc2); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x1, x2, 0); -#else - x3 = __PKHBT(x2, x1, 0); -#endif - - acc3 = __SMLALDX(x3, y1, acc3); - - acc1 = __SMLALDX(x3, y2, acc1); - - a = *(pScr1 + 2); - b = *(pScr1 + 3); - -#ifndef ARM_MATH_BIG_ENDIAN - x2 = __PKHBT(a, b, 16); -#else - x2 = __PKHBT(b, a, 16); -#endif - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc3 = __SMLALDX(x3, y2, acc3); - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - pIn2 += 4u; - pScr1 += 4u; - - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Update scratch pointer for remaining samples of smaller length sequence */ - pScr1 -= 4u; - - /* apply same above for remaining samples of smaller length sequence */ - tapCnt = (srcBLen) & 3u; - - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pIn2); - acc1 += (*pScr1++ * *pIn2); - acc2 += (*pScr1++ * *pIn2); - acc3 += (*pScr1++ * *pIn2++); - - pScr1 -= 3u; - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - - /* Store the results in the accumulators in the destination buffer. */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); - -#else - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); - - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch1 += 4u; - - } - - - blkCnt = (srcALen + srcBLen - 1u) & 0x3; - - /* Calculate convolution for remaining samples of Bigger length sequence */ - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - - tapCnt = (srcBLen) >> 1u; - - while(tapCnt > 0u) - { - - /* Read next two samples from scratch1 buffer */ - acc0 += (*pScr1++ * *pIn2++); - acc0 += (*pScr1++ * *pIn2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (srcBLen) & 1u; - - /* apply same above for remaining samples of smaller length sequence */ - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pIn2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* The result is in 2.30 format. Convert to 1.15 with saturation. - ** Then store the output in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); - - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch1 += 1u; - - } - -} - - -/** - * @} end of Conv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_opt_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,435 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_opt_q7.c -* -* Description: Convolution of Q7 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Conv - * @{ - */ - -/** - * @brief Convolution of Q7 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. - * @param[in] *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). - * @return none. - * - * \par Restrictions - * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE - * In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 32-bit internal accumulator. - * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. - * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. - * This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)<131072</code>. - * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format. - * - */ - -void arm_conv_opt_q7( - q7_t * pSrcA, - uint32_t srcALen, - q7_t * pSrcB, - uint32_t srcBLen, - q7_t * pDst, - q15_t * pScratch1, - q15_t * pScratch2) -{ - - q15_t *pScr2, *pScr1; /* Intermediate pointers for scratch pointers */ - q15_t x4; /* Temporary input variable */ - q7_t *pIn1, *pIn2; /* inputA and inputB pointer */ - uint32_t j, k, blkCnt, tapCnt; /* loop counter */ - q7_t *px; /* Temporary input1 pointer */ - q15_t *py; /* Temporary input2 pointer */ - q31_t acc0, acc1, acc2, acc3; /* Accumulator */ - q31_t x1, x2, x3, y1; /* Temporary input variables */ - q7_t *pOut = pDst; /* output pointer */ - q7_t out0, out1, out2, out3; /* temporary variables */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* pointer to take end of scratch2 buffer */ - pScr2 = pScratch2; - - /* points to smaller length sequence */ - px = pIn2 + srcBLen - 1; - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - x4 = (q15_t) * px--; - *pScr2++ = x4; - x4 = (q15_t) * px--; - *pScr2++ = x4; - x4 = (q15_t) * px--; - *pScr2++ = x4; - x4 = (q15_t) * px--; - *pScr2++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - x4 = (q15_t) * px--; - *pScr2++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* Initialze temporary scratch pointer */ - pScr1 = pScratch1; - - /* Fill (srcBLen - 1u) zeros in scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update temporary scratch pointer */ - pScr1 += (srcBLen - 1u); - - /* Copy (srcALen) samples in scratch buffer */ - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcALen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcALen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - - /* Decrement the loop counter */ - k--; - } - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Fill (srcBLen - 1u) zeros at end of scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update pointer */ - pScr1 += (srcBLen - 1u); - -#else - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = (srcBLen - 1u) >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = (srcBLen - 1u) % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - -#endif - - /* Temporary pointer for scratch2 */ - py = pScratch2; - - /* Initialization of pIn2 pointer */ - pIn2 = (q7_t *) py; - - pScr2 = py; - - /* Actual convolution process starts here */ - blkCnt = (srcALen + srcBLen - 1u) >> 2; - - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Read two samples from scratch1 buffer */ - x1 = *__SIMD32(pScr1)++; - - /* Read next two samples from scratch1 buffer */ - x2 = *__SIMD32(pScr1)++; - - tapCnt = (srcBLen) >> 2u; - - while(tapCnt > 0u) - { - - /* Read four samples from smaller buffer */ - y1 = _SIMD32_OFFSET(pScr2); - - /* multiply and accumlate */ - acc0 = __SMLAD(x1, y1, acc0); - acc2 = __SMLAD(x2, y1, acc2); - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - /* multiply and accumlate */ - acc1 = __SMLADX(x3, y1, acc1); - - /* Read next two samples from scratch1 buffer */ - x1 = *__SIMD32(pScr1)++; - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x1, x2, 0); -#else - x3 = __PKHBT(x2, x1, 0); -#endif - - acc3 = __SMLADX(x3, y1, acc3); - - /* Read four samples from smaller buffer */ - y1 = _SIMD32_OFFSET(pScr2 + 2u); - - acc0 = __SMLAD(x2, y1, acc0); - - acc2 = __SMLAD(x1, y1, acc2); - - acc1 = __SMLADX(x3, y1, acc1); - - x2 = *__SIMD32(pScr1)++; - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc3 = __SMLADX(x3, y1, acc3); - - pScr2 += 4u; - - - /* Decrement the loop counter */ - tapCnt--; - } - - - - /* Update scratch pointer for remaining samples of smaller length sequence */ - pScr1 -= 4u; - - - /* apply same above for remaining samples of smaller length sequence */ - tapCnt = (srcBLen) & 3u; - - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pScr2); - acc1 += (*pScr1++ * *pScr2); - acc2 += (*pScr1++ * *pScr2); - acc3 += (*pScr1++ * *pScr2++); - - pScr1 -= 3u; - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* Store the result in the accumulator in the destination buffer. */ - out0 = (q7_t) (__SSAT(acc0 >> 7u, 8)); - out1 = (q7_t) (__SSAT(acc1 >> 7u, 8)); - out2 = (q7_t) (__SSAT(acc2 >> 7u, 8)); - out3 = (q7_t) (__SSAT(acc3 >> 7u, 8)); - - *__SIMD32(pOut)++ = __PACKq7(out0, out1, out2, out3); - - /* Initialization of inputB pointer */ - pScr2 = py; - - pScratch1 += 4u; - - } - - - blkCnt = (srcALen + srcBLen - 1u) & 0x3; - - /* Calculate convolution for remaining samples of Bigger length sequence */ - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - - tapCnt = (srcBLen) >> 1u; - - while(tapCnt > 0u) - { - acc0 += (*pScr1++ * *pScr2++); - acc0 += (*pScr1++ * *pScr2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (srcBLen) & 1u; - - /* apply same above for remaining samples of smaller length sequence */ - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pScr2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8)); - - /* Initialization of inputB pointer */ - pScr2 = py; - - pScratch1 += 1u; - - } - -} - - -/** - * @} end of Conv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,662 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_partial_f32.c -* -* Description: Partial convolution of floating-point sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @defgroup PartialConv Partial Convolution - * - * Partial Convolution is equivalent to Convolution except that a subset of the output samples is generated. - * Each function has two additional arguments. - * <code>firstIndex</code> specifies the starting index of the subset of output samples. - * <code>numPoints</code> is the number of output samples to compute. - * The function computes the output in the range - * <code>[firstIndex, ..., firstIndex+numPoints-1]</code>. - * The output array <code>pDst</code> contains <code>numPoints</code> values. - * - * The allowable range of output indices is [0 srcALen+srcBLen-2]. - * If the requested subset does not fall in this range then the functions return ARM_MATH_ARGUMENT_ERROR. - * Otherwise the functions return ARM_MATH_SUCCESS. - * \note Refer arm_conv_f32() for details on fixed point behavior. - * - * - * <b>Fast Versions</b> - * - * \par - * Fast versions are supported for Q31 and Q15 of partial convolution. Cycles for Fast versions are less compared to Q31 and Q15 of partial conv and the design requires - * the input signals should be scaled down to avoid intermediate overflows. - * - * - * <b>Opt Versions</b> - * - * \par - * Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. - * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions of partial convolution - */ - -/** - * @addtogroup PartialConv - * @{ - */ - -/** - * @brief Partial convolution of floating-point sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - */ - -arm_status arm_conv_partial_f32( - float32_t * pSrcA, - uint32_t srcALen, - float32_t * pSrcB, - uint32_t srcBLen, - float32_t * pDst, - uint32_t firstIndex, - uint32_t numPoints) -{ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - float32_t *pIn1 = pSrcA; /* inputA pointer */ - float32_t *pIn2 = pSrcB; /* inputB pointer */ - float32_t *pOut = pDst; /* output pointer */ - float32_t *px; /* Intermediate inputA pointer */ - float32_t *py; /* Intermediate inputB pointer */ - float32_t *pSrc1, *pSrc2; /* Intermediate pointers */ - float32_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ - float32_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t j, k, count = 0u, blkCnt, check; - int32_t blockSize1, blockSize2, blockSize3; /* loop counters */ - arm_status status; /* status of Partial convolution */ - - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_MATH_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* Conditions to check which loopCounter holds - * the first and last indices of the output samples to be calculated. */ - check = firstIndex + numPoints; - blockSize3 = (int32_t) check - (int32_t) srcALen; - blockSize3 = (blockSize3 > 0) ? blockSize3 : 0; - blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex; - blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 : - (int32_t) numPoints) : 0; - blockSize2 = ((int32_t) check - blockSize3) - - (blockSize1 + (int32_t) firstIndex); - blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* Set the output pointer to point to the firstIndex - * of the output sample to be calculated. */ - pOut = pDst + firstIndex; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed. - Since the partial convolution starts from from firstIndex - Number of Macs to be performed is firstIndex + 1 */ - count = 1u + firstIndex; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc1 = pIn2 + firstIndex; - py = pSrc1; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first stage starts here */ - while(blockSize1 > 0) - { - /* Accumulator is made zero for every iteration */ - sum = 0.0f; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] * y[srcBLen - 1] */ - sum += *px++ * *py--; - - /* x[1] * y[srcBLen - 2] */ - sum += *px++ * *py--; - - /* x[2] * y[srcBLen - 3] */ - sum += *px++ * *py--; - - /* x[3] * y[srcBLen - 4] */ - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum; - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = ++pSrc1; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = ((uint32_t) blockSize2 >> 2u); - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0.0f; - acc1 = 0.0f; - acc2 = 0.0f; - acc3 = 0.0f; - - /* read x[0], x[1], x[2] samples */ - x0 = *(px++); - x1 = *(px++); - x2 = *(px++); - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read y[srcBLen - 1] sample */ - c0 = *(py--); - - /* Read x[3] sample */ - x3 = *(px++); - - /* Perform the multiply-accumulate */ - /* acc0 += x[0] * y[srcBLen - 1] */ - acc0 += x0 * c0; - - /* acc1 += x[1] * y[srcBLen - 1] */ - acc1 += x1 * c0; - - /* acc2 += x[2] * y[srcBLen - 1] */ - acc2 += x2 * c0; - - /* acc3 += x[3] * y[srcBLen - 1] */ - acc3 += x3 * c0; - - /* Read y[srcBLen - 2] sample */ - c0 = *(py--); - - /* Read x[4] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - /* acc0 += x[1] * y[srcBLen - 2] */ - acc0 += x1 * c0; - /* acc1 += x[2] * y[srcBLen - 2] */ - acc1 += x2 * c0; - /* acc2 += x[3] * y[srcBLen - 2] */ - acc2 += x3 * c0; - /* acc3 += x[4] * y[srcBLen - 2] */ - acc3 += x0 * c0; - - /* Read y[srcBLen - 3] sample */ - c0 = *(py--); - - /* Read x[5] sample */ - x1 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[2] * y[srcBLen - 3] */ - acc0 += x2 * c0; - /* acc1 += x[3] * y[srcBLen - 2] */ - acc1 += x3 * c0; - /* acc2 += x[4] * y[srcBLen - 2] */ - acc2 += x0 * c0; - /* acc3 += x[5] * y[srcBLen - 2] */ - acc3 += x1 * c0; - - /* Read y[srcBLen - 4] sample */ - c0 = *(py--); - - /* Read x[6] sample */ - x2 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[3] * y[srcBLen - 4] */ - acc0 += x3 * c0; - /* acc1 += x[4] * y[srcBLen - 4] */ - acc1 += x0 * c0; - /* acc2 += x[5] * y[srcBLen - 4] */ - acc2 += x1 * c0; - /* acc3 += x[6] * y[srcBLen - 4] */ - acc3 += x2 * c0; - - - } while(--k); - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Read y[srcBLen - 5] sample */ - c0 = *(py--); - - /* Read x[7] sample */ - x3 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[4] * y[srcBLen - 5] */ - acc0 += x0 * c0; - /* acc1 += x[5] * y[srcBLen - 5] */ - acc1 += x1 * c0; - /* acc2 += x[6] * y[srcBLen - 5] */ - acc2 += x2 * c0; - /* acc3 += x[7] * y[srcBLen - 5] */ - acc3 += x3 * c0; - - /* Reuse the present samples for the next MAC */ - x0 = x1; - x1 = x2; - x2 = x3; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = acc0; - *pOut++ = acc1; - *pOut++ = acc2; - *pOut++ = acc3; - - /* Increment the pointer pIn1 index, count by 1 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = (uint32_t) blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0.0f; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += *px++ * *py--; - sum += *px++ * *py--; - sum += *px++ * *py--; - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = (uint32_t) blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0.0f; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - while(blockSize3 > 0) - { - /* Accumulator is made zero for every iteration */ - sum = 0.0f; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ - sum += *px++ * *py--; - - /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ - sum += *px++ * *py--; - - /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ - sum += *px++ * *py--; - - /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen-1] * y[srcBLen-1] */ - sum += *px++ * *py--; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); - -#else - - /* Run the below code for Cortex-M0 */ - - float32_t *pIn1 = pSrcA; /* inputA pointer */ - float32_t *pIn2 = pSrcB; /* inputB pointer */ - float32_t sum; /* Accumulator */ - uint32_t i, j; /* loop counters */ - arm_status status; /* status of Partial convolution */ - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - /* Loop to calculate convolution for output length number of values */ - for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++) - { - /* Initialize sum with zero to carry on MAC operations */ - sum = 0.0f; - - /* Loop to perform MAC operations according to convolution equation */ - for (j = 0u; j <= i; j++) - { - /* Check the array limitations for inputs */ - if((((i - j) < srcBLen) && (j < srcALen))) - { - /* z[i] += x[i-j] * y[j] */ - sum += pIn1[j] * pIn2[i - j]; - } - } - /* Store the output in the destination buffer */ - pDst[i] = sum; - } - /* set status as ARM_SUCCESS as there are no argument errors */ - status = ARM_MATH_SUCCESS; - } - return (status); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of PartialConv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_fast_opt_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,768 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_partial_fast_opt_q15.c -* -* Description: Fast Q15 Partial convolution. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup PartialConv - * @{ - */ - -/** - * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @param[in] *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] *pScratch2 points to scratch buffer of size min(srcALen, srcBLen). - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - * - * See <code>arm_conv_partial_q15()</code> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. - * - * \par Restrictions - * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE - * In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit - * - */ - -#ifndef UNALIGNED_SUPPORT_DISABLE - -arm_status arm_conv_partial_fast_opt_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - uint32_t firstIndex, - uint32_t numPoints, - q15_t * pScratch1, - q15_t * pScratch2) -{ - - q15_t *pOut = pDst; /* output pointer */ - q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ - q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ - q31_t acc0, acc1, acc2, acc3; /* Accumulator */ - q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ - q31_t y1, y2; /* State variables */ - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - uint32_t j, k, blkCnt; /* loop counter */ - arm_status status; - - uint32_t tapCnt; /* loop count */ - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_MATH_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* Temporary pointer for scratch2 */ - py = pScratch2; - - /* pointer to take end of scratch2 buffer */ - pScr2 = pScratch2 + srcBLen - 1; - - /* points to smaller length sequence */ - px = pIn2; - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - - /* Copy smaller length input sequence in reverse order into second scratch buffer */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr2-- = *px++; - *pScr2-- = *px++; - *pScr2-- = *px++; - *pScr2-- = *px++; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr2-- = *px++; - - /* Decrement the loop counter */ - k--; - } - - /* Initialze temporary scratch pointer */ - pScr1 = pScratch1; - - /* Assuming scratch1 buffer is aligned by 32-bit */ - /* Fill (srcBLen - 1u) zeros in scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update temporary scratch pointer */ - pScr1 += (srcBLen - 1u); - - /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ - - /* Copy (srcALen) samples in scratch buffer */ - arm_copy_q15(pIn1, pScr1, srcALen); - - /* Update pointers */ - pScr1 += srcALen; - - /* Fill (srcBLen - 1u) zeros at end of scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update pointer */ - pScr1 += (srcBLen - 1u); - - /* Initialization of pIn2 pointer */ - pIn2 = py; - - pScratch1 += firstIndex; - - pOut = pDst + firstIndex; - - /* First part of the processing with loop unrolling process 4 data points at a time. - ** a second loop below process for the remaining 1 to 3 samples. */ - - /* Actual convolution process starts here */ - blkCnt = (numPoints) >> 2; - - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Read two samples from scratch1 buffer */ - x1 = *__SIMD32(pScr1)++; - - /* Read next two samples from scratch1 buffer */ - x2 = *__SIMD32(pScr1)++; - - tapCnt = (srcBLen) >> 2u; - - while(tapCnt > 0u) - { - - /* Read four samples from smaller buffer */ - y1 = _SIMD32_OFFSET(pIn2); - y2 = _SIMD32_OFFSET(pIn2 + 2u); - - /* multiply and accumlate */ - acc0 = __SMLAD(x1, y1, acc0); - acc2 = __SMLAD(x2, y1, acc2); - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - /* multiply and accumlate */ - acc1 = __SMLADX(x3, y1, acc1); - - /* Read next two samples from scratch1 buffer */ - x1 = _SIMD32_OFFSET(pScr1); - - /* multiply and accumlate */ - acc0 = __SMLAD(x2, y2, acc0); - - acc2 = __SMLAD(x1, y2, acc2); - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x1, x2, 0); -#else - x3 = __PKHBT(x2, x1, 0); -#endif - - acc3 = __SMLADX(x3, y1, acc3); - acc1 = __SMLADX(x3, y2, acc1); - - x2 = _SIMD32_OFFSET(pScr1 + 2u); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc3 = __SMLADX(x3, y2, acc3); - - /* update scratch pointers */ - pIn2 += 4u; - pScr1 += 4u; - - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Update scratch pointer for remaining samples of smaller length sequence */ - pScr1 -= 4u; - - /* apply same above for remaining samples of smaller length sequence */ - tapCnt = (srcBLen) & 3u; - - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pIn2); - acc1 += (*pScr1++ * *pIn2); - acc2 += (*pScr1++ * *pIn2); - acc3 += (*pScr1++ * *pIn2++); - - pScr1 -= 3u; - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - - /* Store the results in the accumulators in the destination buffer. */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); - -#else - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch1 += 4u; - - } - - - blkCnt = numPoints & 0x3; - - /* Calculate convolution for remaining samples of Bigger length sequence */ - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - - tapCnt = (srcBLen) >> 1u; - - while(tapCnt > 0u) - { - - /* Read next two samples from scratch1 buffer */ - x1 = *__SIMD32(pScr1)++; - - /* Read two samples from smaller buffer */ - y1 = *__SIMD32(pIn2)++; - - acc0 = __SMLAD(x1, y1, acc0); - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (srcBLen) & 1u; - - /* apply same above for remaining samples of smaller length sequence */ - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pIn2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* The result is in 2.30 format. Convert to 1.15 with saturation. - ** Then store the output in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch1 += 1u; - - } - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - /* Return to application */ - return (status); -} - -#else - -arm_status arm_conv_partial_fast_opt_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - uint32_t firstIndex, - uint32_t numPoints, - q15_t * pScratch1, - q15_t * pScratch2) -{ - - q15_t *pOut = pDst; /* output pointer */ - q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ - q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ - q31_t acc0, acc1, acc2, acc3; /* Accumulator */ - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - uint32_t j, k, blkCnt; /* loop counter */ - arm_status status; /* Status variable */ - uint32_t tapCnt; /* loop count */ - q15_t x10, x11, x20, x21; /* Temporary variables to hold srcA buffer */ - q15_t y10, y11; /* Temporary variables to hold srcB buffer */ - - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_MATH_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* Temporary pointer for scratch2 */ - py = pScratch2; - - /* pointer to take end of scratch2 buffer */ - pScr2 = pScratch2 + srcBLen - 1; - - /* points to smaller length sequence */ - px = pIn2; - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr2-- = *px++; - *pScr2-- = *px++; - *pScr2-- = *px++; - *pScr2-- = *px++; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr2-- = *px++; - - /* Decrement the loop counter */ - k--; - } - - /* Initialze temporary scratch pointer */ - pScr1 = pScratch1; - - /* Fill (srcBLen - 1u) zeros in scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update temporary scratch pointer */ - pScr1 += (srcBLen - 1u); - - /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ - - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcALen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr1++ = *pIn1++; - *pScr1++ = *pIn1++; - *pScr1++ = *pIn1++; - *pScr1++ = *pIn1++; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcALen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr1++ = *pIn1++; - - /* Decrement the loop counter */ - k--; - } - - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = (srcBLen - 1u) >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = (srcBLen - 1u) % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - - - /* Initialization of pIn2 pointer */ - pIn2 = py; - - pScratch1 += firstIndex; - - pOut = pDst + firstIndex; - - /* Actual convolution process starts here */ - blkCnt = (numPoints) >> 2; - - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Read two samples from scratch1 buffer */ - x10 = *pScr1++; - x11 = *pScr1++; - - /* Read next two samples from scratch1 buffer */ - x20 = *pScr1++; - x21 = *pScr1++; - - tapCnt = (srcBLen) >> 2u; - - while(tapCnt > 0u) - { - - /* Read two samples from smaller buffer */ - y10 = *pIn2; - y11 = *(pIn2 + 1u); - - /* multiply and accumlate */ - acc0 += (q31_t) x10 *y10; - acc0 += (q31_t) x11 *y11; - acc2 += (q31_t) x20 *y10; - acc2 += (q31_t) x21 *y11; - - /* multiply and accumlate */ - acc1 += (q31_t) x11 *y10; - acc1 += (q31_t) x20 *y11; - - /* Read next two samples from scratch1 buffer */ - x10 = *pScr1; - x11 = *(pScr1 + 1u); - - /* multiply and accumlate */ - acc3 += (q31_t) x21 *y10; - acc3 += (q31_t) x10 *y11; - - /* Read next two samples from scratch2 buffer */ - y10 = *(pIn2 + 2u); - y11 = *(pIn2 + 3u); - - /* multiply and accumlate */ - acc0 += (q31_t) x20 *y10; - acc0 += (q31_t) x21 *y11; - acc2 += (q31_t) x10 *y10; - acc2 += (q31_t) x11 *y11; - acc1 += (q31_t) x21 *y10; - acc1 += (q31_t) x10 *y11; - - /* Read next two samples from scratch1 buffer */ - x20 = *(pScr1 + 2); - x21 = *(pScr1 + 3); - - /* multiply and accumlate */ - acc3 += (q31_t) x11 *y10; - acc3 += (q31_t) x20 *y11; - - /* update scratch pointers */ - pIn2 += 4u; - pScr1 += 4u; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Update scratch pointer for remaining samples of smaller length sequence */ - pScr1 -= 4u; - - /* apply same above for remaining samples of smaller length sequence */ - tapCnt = (srcBLen) & 3u; - - while(tapCnt > 0u) - { - /* accumlate the results */ - acc0 += (*pScr1++ * *pIn2); - acc1 += (*pScr1++ * *pIn2); - acc2 += (*pScr1++ * *pIn2); - acc3 += (*pScr1++ * *pIn2++); - - pScr1 -= 3u; - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - - /* Store the results in the accumulators in the destination buffer. */ - *pOut++ = __SSAT((acc0 >> 15), 16); - *pOut++ = __SSAT((acc1 >> 15), 16); - *pOut++ = __SSAT((acc2 >> 15), 16); - *pOut++ = __SSAT((acc3 >> 15), 16); - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch1 += 4u; - - } - - - blkCnt = numPoints & 0x3; - - /* Calculate convolution for remaining samples of Bigger length sequence */ - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - - tapCnt = (srcBLen) >> 1u; - - while(tapCnt > 0u) - { - - /* Read next two samples from scratch1 buffer */ - x10 = *pScr1++; - x11 = *pScr1++; - - /* Read two samples from smaller buffer */ - y10 = *pIn2++; - y11 = *pIn2++; - - /* multiply and accumlate */ - acc0 += (q31_t) x10 *y10; - acc0 += (q31_t) x11 *y11; - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (srcBLen) & 1u; - - /* apply same above for remaining samples of smaller length sequence */ - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pIn2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch1 += 1u; - - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - - } - - /* Return to application */ - return (status); -} - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - -/** - * @} end of PartialConv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_fast_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,1478 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_partial_fast_q15.c -* -* Description: Fast Q15 Partial convolution. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup PartialConv - * @{ - */ - -/** - * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - * - * See <code>arm_conv_partial_q15()</code> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. - */ - - -arm_status arm_conv_partial_fast_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - uint32_t firstIndex, - uint32_t numPoints) -{ -#ifndef UNALIGNED_SUPPORT_DISABLE - - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *pOut = pDst; /* output pointer */ - q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ - q31_t x0, x1, x2, x3, c0; - uint32_t j, k, count, check, blkCnt; - int32_t blockSize1, blockSize2, blockSize3; /* loop counters */ - arm_status status; /* status of Partial convolution */ - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_MATH_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >=srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* Conditions to check which loopCounter holds - * the first and last indices of the output samples to be calculated. */ - check = firstIndex + numPoints; - blockSize3 = ((int32_t) check - (int32_t) srcALen); - blockSize3 = (blockSize3 > 0) ? blockSize3 : 0; - blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex); - blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 : - (int32_t) numPoints) : 0; - blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + - (int32_t) firstIndex); - blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* Set the output pointer to point to the firstIndex - * of the output sample to be calculated. */ - pOut = pDst + firstIndex; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed. - Since the partial convolution starts from firstIndex - Number of Macs to be performed is firstIndex + 1 */ - count = 1u + firstIndex; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + firstIndex; - py = pSrc2; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* For loop unrolling by 4, this stage is divided into two. */ - /* First part of this stage computes the MAC operations less than 4 */ - /* Second part of this stage computes the MAC operations greater than or equal to 4 */ - - /* The first part of the stage starts here */ - while((count < 4u) && (blockSize1 > 0)) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Loop over number of MAC operations between - * inputA samples and inputB samples */ - k = count; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = __SMLAD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = ++pSrc2; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* The second part of the stage starts here */ - /* The internal loop, over count, is unrolled by 4 */ - /* To, read the last two inputB samples using SIMD: - * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ - py = py - 1; - - while(blockSize1 > 0) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ - sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ - sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* For the next MAC operations, the pointer py is used without SIMD - * So, py is incremented by 1 */ - py = py + 1u; - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = __SMLAD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = ++pSrc2 - 1u; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is the index by which the pointer pIn1 to be incremented */ - count = 0u; - - - /* -------------------- - * Stage2 process - * -------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = ((uint32_t) blockSize2 >> 2u); - - while(blkCnt > 0u) - { - py = py - 1u; - - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - - /* read x[0], x[1] samples */ - x0 = *__SIMD32(px); - /* read x[1], x[2] samples */ - x1 = _SIMD32_OFFSET(px+1); - px+= 2u; - - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read the last two inputB samples using SIMD: - * y[srcBLen - 1] and y[srcBLen - 2] */ - c0 = *__SIMD32(py)--; - - /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ - acc0 = __SMLADX(x0, c0, acc0); - - /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ - acc1 = __SMLADX(x1, c0, acc1); - - /* Read x[2], x[3] */ - x2 = *__SIMD32(px); - - /* Read x[3], x[4] */ - x3 = _SIMD32_OFFSET(px+1); - - /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ - acc2 = __SMLADX(x2, c0, acc2); - - /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ - acc3 = __SMLADX(x3, c0, acc3); - - /* Read y[srcBLen - 3] and y[srcBLen - 4] */ - c0 = *__SIMD32(py)--; - - /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ - acc0 = __SMLADX(x2, c0, acc0); - - /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ - acc1 = __SMLADX(x3, c0, acc1); - - /* Read x[4], x[5] */ - x0 = _SIMD32_OFFSET(px+2); - - /* Read x[5], x[6] */ - x1 = _SIMD32_OFFSET(px+3); - px += 4u; - - /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ - acc2 = __SMLADX(x0, c0, acc2); - - /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ - acc3 = __SMLADX(x1, c0, acc3); - - } while(--k); - - /* For the next MAC operations, SIMD is not used - * So, the 16 bit pointer if inputB, py is updated */ - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - if(k == 1u) - { - /* Read y[srcBLen - 5] */ - c0 = *(py+1); -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; - -#else - - c0 = c0 & 0x0000FFFF; - -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[7] */ - x3 = *__SIMD32(px); - px++; - - /* Perform the multiply-accumulates */ - acc0 = __SMLAD(x0, c0, acc0); - acc1 = __SMLAD(x1, c0, acc1); - acc2 = __SMLADX(x1, c0, acc2); - acc3 = __SMLADX(x3, c0, acc3); - } - - if(k == 2u) - { - /* Read y[srcBLen - 5], y[srcBLen - 6] */ - c0 = _SIMD32_OFFSET(py); - - /* Read x[7], x[8] */ - x3 = *__SIMD32(px); - - /* Read x[9] */ - x2 = _SIMD32_OFFSET(px+1); - px += 2u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x0, c0, acc0); - acc1 = __SMLADX(x1, c0, acc1); - acc2 = __SMLADX(x3, c0, acc2); - acc3 = __SMLADX(x2, c0, acc3); - } - - if(k == 3u) - { - /* Read y[srcBLen - 5], y[srcBLen - 6] */ - c0 = _SIMD32_OFFSET(py); - - /* Read x[7], x[8] */ - x3 = *__SIMD32(px); - - /* Read x[9] */ - x2 = _SIMD32_OFFSET(px+1); - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x0, c0, acc0); - acc1 = __SMLADX(x1, c0, acc1); - acc2 = __SMLADX(x3, c0, acc2); - acc3 = __SMLADX(x2, c0, acc3); - - c0 = *(py-1); -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; -#else - - c0 = c0 & 0x0000FFFF; -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[10] */ - x3 = _SIMD32_OFFSET(px+2); - px += 3u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x1, c0, acc0); - acc1 = __SMLAD(x2, c0, acc1); - acc2 = __SMLADX(x2, c0, acc2); - acc3 = __SMLADX(x3, c0, acc3); - } - - /* Store the results in the accumulators in the destination buffer. */ -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pOut)++ = __PKHBT(acc0 >> 15, acc1 >> 15, 16); - *__SIMD32(pOut)++ = __PKHBT(acc2 >> 15, acc3 >> 15, 16); - -#else - - *__SIMD32(pOut)++ = __PKHBT(acc1 >> 15, acc0 >> 15, 16); - *__SIMD32(pOut)++ = __PKHBT(acc3 >> 15, acc2 >> 15, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Increment the pointer pIn1 index, count by 4 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = (uint32_t) blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Increment the pointer pIn1 index, count by 1 */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = (uint32_t) blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - pIn2 = pSrc2 - 1u; - py = pIn2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - /* For loop unrolling by 4, this stage is divided into two. */ - /* First part of this stage computes the MAC operations greater than 4 */ - /* Second part of this stage computes the MAC operations less than or equal to 4 */ - - /* The first part of the stage starts here */ - j = count >> 2u; - - while((j > 0u) && (blockSize3 > 0)) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied - * with y[srcBLen - 1], y[srcBLen - 2] respectively */ - sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied - * with y[srcBLen - 3], y[srcBLen - 4] respectively */ - sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* For the next MAC operations, the pointer py is used without SIMD - * So, py is incremented by 1 */ - py = py + 1u; - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ - sum = __SMLAD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pIn2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - - j--; - } - - /* The second part of the stage starts here */ - /* SIMD is not used for the next MAC operations, - * so pointer py is updated to read only one sample at a time */ - py = py + 1u; - - while(blockSize3 > 0) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen-1] * y[srcBLen-1] */ - sum = __SMLAD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); - -#else - - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *pOut = pDst; /* output pointer */ - q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ - q31_t x0, x1, x2, x3, c0; - uint32_t j, k, count, check, blkCnt; - int32_t blockSize1, blockSize2, blockSize3; /* loop counters */ - arm_status status; /* status of Partial convolution */ - q15_t a, b; - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_MATH_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >=srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* Conditions to check which loopCounter holds - * the first and last indices of the output samples to be calculated. */ - check = firstIndex + numPoints; - blockSize3 = ((int32_t) check - (int32_t) srcALen); - blockSize3 = (blockSize3 > 0) ? blockSize3 : 0; - blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex); - blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 : - (int32_t) numPoints) : 0; - blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + - (int32_t) firstIndex); - blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* Set the output pointer to point to the firstIndex - * of the output sample to be calculated. */ - pOut = pDst + firstIndex; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed. - Since the partial convolution starts from firstIndex - Number of Macs to be performed is firstIndex + 1 */ - count = 1u + firstIndex; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + firstIndex; - py = pSrc2; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* For loop unrolling by 4, this stage is divided into two. */ - /* First part of this stage computes the MAC operations less than 4 */ - /* Second part of this stage computes the MAC operations greater than or equal to 4 */ - - /* The first part of the stage starts here */ - while((count < 4u) && (blockSize1 > 0u)) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Loop over number of MAC operations between - * inputA samples and inputB samples */ - k = count; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = ++pSrc2; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* The second part of the stage starts here */ - /* The internal loop, over count, is unrolled by 4 */ - /* To, read the last two inputB samples using SIMD: - * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ - py = py - 1; - - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - py++; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = ++pSrc2 - 1u; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is the index by which the pointer pIn1 to be incremented */ - count = 0u; - - - /* -------------------- - * Stage2 process - * -------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = ((uint32_t) blockSize2 >> 2u); - - while(blkCnt > 0u) - { - py = py - 1u; - - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* read x[0], x[1] samples */ - a = *px++; - b = *px++; - -#ifndef ARM_MATH_BIG_ENDIAN - - x0 = __PKHBT(a, b, 16); - a = *px; - x1 = __PKHBT(b, a, 16); - -#else - - x0 = __PKHBT(b, a, 16); - a = *px; - x1 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read the last two inputB samples using SIMD: - * y[srcBLen - 1] and y[srcBLen - 2] */ - a = *py; - b = *(py+1); - py -= 2; - -#ifndef ARM_MATH_BIG_ENDIAN - - c0 = __PKHBT(a, b, 16); - -#else - - c0 = __PKHBT(b, a, 16);; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ - acc0 = __SMLADX(x0, c0, acc0); - - /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ - acc1 = __SMLADX(x1, c0, acc1); - - a = *px; - b = *(px + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - - x2 = __PKHBT(a, b, 16); - a = *(px + 2); - x3 = __PKHBT(b, a, 16); - -#else - - x2 = __PKHBT(b, a, 16); - a = *(px + 2); - x3 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ - acc2 = __SMLADX(x2, c0, acc2); - - /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ - acc3 = __SMLADX(x3, c0, acc3); - - /* Read y[srcBLen - 3] and y[srcBLen - 4] */ - a = *py; - b = *(py+1); - py -= 2; - -#ifndef ARM_MATH_BIG_ENDIAN - - c0 = __PKHBT(a, b, 16); - -#else - - c0 = __PKHBT(b, a, 16);; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ - acc0 = __SMLADX(x2, c0, acc0); - - /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ - acc1 = __SMLADX(x3, c0, acc1); - - /* Read x[4], x[5], x[6] */ - a = *(px + 2); - b = *(px + 3); - -#ifndef ARM_MATH_BIG_ENDIAN - - x0 = __PKHBT(a, b, 16); - a = *(px + 4); - x1 = __PKHBT(b, a, 16); - -#else - - x0 = __PKHBT(b, a, 16); - a = *(px + 4); - x1 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - px += 4u; - - /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ - acc2 = __SMLADX(x0, c0, acc2); - - /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ - acc3 = __SMLADX(x1, c0, acc3); - - } while(--k); - - /* For the next MAC operations, SIMD is not used - * So, the 16 bit pointer if inputB, py is updated */ - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - if(k == 1u) - { - /* Read y[srcBLen - 5] */ - c0 = *(py+1); - -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; - -#else - - c0 = c0 & 0x0000FFFF; - -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[7] */ - a = *px; - b = *(px+1); - px++; - -#ifndef ARM_MATH_BIG_ENDIAN - - x3 = __PKHBT(a, b, 16); - -#else - - x3 = __PKHBT(b, a, 16);; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - - /* Perform the multiply-accumulates */ - acc0 = __SMLAD(x0, c0, acc0); - acc1 = __SMLAD(x1, c0, acc1); - acc2 = __SMLADX(x1, c0, acc2); - acc3 = __SMLADX(x3, c0, acc3); - } - - if(k == 2u) - { - /* Read y[srcBLen - 5], y[srcBLen - 6] */ - a = *py; - b = *(py+1); - -#ifndef ARM_MATH_BIG_ENDIAN - - c0 = __PKHBT(a, b, 16); - -#else - - c0 = __PKHBT(b, a, 16);; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Read x[7], x[8], x[9] */ - a = *px; - b = *(px + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - - x3 = __PKHBT(a, b, 16); - a = *(px + 2); - x2 = __PKHBT(b, a, 16); - -#else - - x3 = __PKHBT(b, a, 16); - a = *(px + 2); - x2 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - px += 2u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x0, c0, acc0); - acc1 = __SMLADX(x1, c0, acc1); - acc2 = __SMLADX(x3, c0, acc2); - acc3 = __SMLADX(x2, c0, acc3); - } - - if(k == 3u) - { - /* Read y[srcBLen - 5], y[srcBLen - 6] */ - a = *py; - b = *(py+1); - -#ifndef ARM_MATH_BIG_ENDIAN - - c0 = __PKHBT(a, b, 16); - -#else - - c0 = __PKHBT(b, a, 16);; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Read x[7], x[8], x[9] */ - a = *px; - b = *(px + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - - x3 = __PKHBT(a, b, 16); - a = *(px + 2); - x2 = __PKHBT(b, a, 16); - -#else - - x3 = __PKHBT(b, a, 16); - a = *(px + 2); - x2 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x0, c0, acc0); - acc1 = __SMLADX(x1, c0, acc1); - acc2 = __SMLADX(x3, c0, acc2); - acc3 = __SMLADX(x2, c0, acc3); - - /* Read y[srcBLen - 7] */ - c0 = *(py-1); -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; -#else - - c0 = c0 & 0x0000FFFF; -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[10] */ - a = *(px+2); - b = *(px+3); - -#ifndef ARM_MATH_BIG_ENDIAN - - x3 = __PKHBT(a, b, 16); - -#else - - x3 = __PKHBT(b, a, 16);; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - px += 3u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x1, c0, acc0); - acc1 = __SMLAD(x2, c0, acc1); - acc2 = __SMLADX(x2, c0, acc2); - acc3 = __SMLADX(x3, c0, acc3); - } - - /* Store the results in the accumulators in the destination buffer. */ - *pOut++ = (q15_t)(acc0 >> 15); - *pOut++ = (q15_t)(acc1 >> 15); - *pOut++ = (q15_t)(acc2 >> 15); - *pOut++ = (q15_t)(acc3 >> 15); - - /* Increment the pointer pIn1 index, count by 4 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = (uint32_t) blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Increment the pointer pIn1 index, count by 1 */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = (uint32_t) blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - pIn2 = pSrc2 - 1u; - py = pIn2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - /* For loop unrolling by 4, this stage is divided into two. */ - /* First part of this stage computes the MAC operations greater than 4 */ - /* Second part of this stage computes the MAC operations less than or equal to 4 */ - - /* The first part of the stage starts here */ - j = count >> 2u; - - while((j > 0u) && (blockSize3 > 0)) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - py++; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - sum += ((q31_t) * px++ * *py--); - /* Decrement the loop counter */ - k--; - } - - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pIn2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - - j--; - } - - /* The second part of the stage starts here */ - /* SIMD is not used for the next MAC operations, - * so pointer py is updated to read only one sample at a time */ - py = py + 1u; - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen-1] * y[srcBLen-1] */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (sum >> 15); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ -} - -/** - * @} end of PartialConv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_fast_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,604 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_partial_fast_q31.c -* -* Description: Fast Q31 Partial convolution. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup PartialConv - * @{ - */ - -/** - * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - * - * \par - * See <code>arm_conv_partial_q31()</code> for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. - */ - -arm_status arm_conv_partial_fast_q31( - q31_t * pSrcA, - uint32_t srcALen, - q31_t * pSrcB, - uint32_t srcBLen, - q31_t * pDst, - uint32_t firstIndex, - uint32_t numPoints) -{ - q31_t *pIn1; /* inputA pointer */ - q31_t *pIn2; /* inputB pointer */ - q31_t *pOut = pDst; /* output pointer */ - q31_t *px; /* Intermediate inputA pointer */ - q31_t *py; /* Intermediate inputB pointer */ - q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ - q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ - q31_t x0, x1, x2, x3, c0; - uint32_t j, k, count, check, blkCnt; - int32_t blockSize1, blockSize2, blockSize3; /* loop counters */ - arm_status status; /* status of Partial convolution */ - - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_MATH_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* Conditions to check which loopCounter holds - * the first and last indices of the output samples to be calculated. */ - check = firstIndex + numPoints; - blockSize3 = ((int32_t) check - (int32_t) srcALen); - blockSize3 = (blockSize3 > 0) ? blockSize3 : 0; - blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex); - blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 : - (int32_t) numPoints) : 0; - blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + - (int32_t) firstIndex); - blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* Set the output pointer to point to the firstIndex - * of the output sample to be calculated. */ - pOut = pDst + firstIndex; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed. - Since the partial convolution starts from firstIndex - Number of Macs to be performed is firstIndex + 1 */ - count = 1u + firstIndex; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + firstIndex; - py = pSrc2; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first loop starts here */ - while(blockSize1 > 0) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] * y[srcBLen - 1] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* x[1] * y[srcBLen - 2] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* x[2] * y[srcBLen - 3] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* x[3] * y[srcBLen - 4] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum << 1; - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = ++pSrc2; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2 */ - blkCnt = ((uint32_t) blockSize2 >> 2u); - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* read x[0], x[1], x[2] samples */ - x0 = *(px++); - x1 = *(px++); - x2 = *(px++); - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read y[srcBLen - 1] sample */ - c0 = *(py--); - - /* Read x[3] sample */ - x3 = *(px++); - - /* Perform the multiply-accumulate */ - /* acc0 += x[0] * y[srcBLen - 1] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); - - /* acc1 += x[1] * y[srcBLen - 1] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); - - /* acc2 += x[2] * y[srcBLen - 1] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); - - /* acc3 += x[3] * y[srcBLen - 1] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); - - /* Read y[srcBLen - 2] sample */ - c0 = *(py--); - - /* Read x[4] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - /* acc0 += x[1] * y[srcBLen - 2] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32); - /* acc1 += x[2] * y[srcBLen - 2] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32); - /* acc2 += x[3] * y[srcBLen - 2] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32); - /* acc3 += x[4] * y[srcBLen - 2] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32); - - /* Read y[srcBLen - 3] sample */ - c0 = *(py--); - - /* Read x[5] sample */ - x1 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[2] * y[srcBLen - 3] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32); - /* acc1 += x[3] * y[srcBLen - 2] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32); - /* acc2 += x[4] * y[srcBLen - 2] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32); - /* acc3 += x[5] * y[srcBLen - 2] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32); - - /* Read y[srcBLen - 4] sample */ - c0 = *(py--); - - /* Read x[6] sample */ - x2 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[3] * y[srcBLen - 4] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32); - /* acc1 += x[4] * y[srcBLen - 4] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32); - /* acc2 += x[5] * y[srcBLen - 4] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32); - /* acc3 += x[6] * y[srcBLen - 4] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32); - - - } while(--k); - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Read y[srcBLen - 5] sample */ - c0 = *(py--); - - /* Read x[7] sample */ - x3 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[4] * y[srcBLen - 5] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); - /* acc1 += x[5] * y[srcBLen - 5] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); - /* acc2 += x[6] * y[srcBLen - 5] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); - /* acc3 += x[7] * y[srcBLen - 5] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); - - /* Reuse the present samples for the next MAC */ - x0 = x1; - x1 = x2; - x2 = x3; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q31_t) (acc0 << 1); - *pOut++ = (q31_t) (acc1 << 1); - *pOut++ = (q31_t) (acc2 << 1); - *pOut++ = (q31_t) (acc3 << 1); - - /* Increment the pointer pIn1 index, count by 4 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = (uint32_t) blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum << 1; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = (uint32_t) blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum << 1; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen-1] * y[srcBLen-1] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py--))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = sum << 1; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); - -} - -/** - * @} end of PartialConv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_opt_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,765 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_partial_opt_q15.c -* -* Description: Partial convolution of Q15 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup PartialConv - * @{ - */ - -/** - * @brief Partial convolution of Q15 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @param[in] *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] *pScratch2 points to scratch buffer of size min(srcALen, srcBLen). - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - * - * \par Restrictions - * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE - * In this case input, output, state buffers should be aligned by 32-bit - * - * Refer to <code>arm_conv_partial_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. - * - * - */ - -#ifndef UNALIGNED_SUPPORT_DISABLE - -arm_status arm_conv_partial_opt_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - uint32_t firstIndex, - uint32_t numPoints, - q15_t * pScratch1, - q15_t * pScratch2) -{ - - q15_t *pOut = pDst; /* output pointer */ - q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ - q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ - q63_t acc0, acc1, acc2, acc3; /* Accumulator */ - q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ - q31_t y1, y2; /* State variables */ - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - uint32_t j, k, blkCnt; /* loop counter */ - arm_status status; /* Status variable */ - uint32_t tapCnt; /* loop count */ - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_MATH_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* Temporary pointer for scratch2 */ - py = pScratch2; - - /* pointer to take end of scratch2 buffer */ - pScr2 = pScratch2 + srcBLen - 1; - - /* points to smaller length sequence */ - px = pIn2; - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr2-- = *px++; - *pScr2-- = *px++; - *pScr2-- = *px++; - *pScr2-- = *px++; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr2-- = *px++; - - /* Decrement the loop counter */ - k--; - } - - /* Initialze temporary scratch pointer */ - pScr1 = pScratch1; - - /* Fill (srcBLen - 1u) zeros in scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update temporary scratch pointer */ - pScr1 += (srcBLen - 1u); - - /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ - - /* Copy (srcALen) samples in scratch buffer */ - arm_copy_q15(pIn1, pScr1, srcALen); - - /* Update pointers */ - pScr1 += srcALen; - - /* Fill (srcBLen - 1u) zeros at end of scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update pointer */ - pScr1 += (srcBLen - 1u); - - /* Initialization of pIn2 pointer */ - pIn2 = py; - - pScratch1 += firstIndex; - - pOut = pDst + firstIndex; - - /* Actual convolution process starts here */ - blkCnt = (numPoints) >> 2; - - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Read two samples from scratch1 buffer */ - x1 = *__SIMD32(pScr1)++; - - /* Read next two samples from scratch1 buffer */ - x2 = *__SIMD32(pScr1)++; - - tapCnt = (srcBLen) >> 2u; - - while(tapCnt > 0u) - { - - /* Read four samples from smaller buffer */ - y1 = _SIMD32_OFFSET(pIn2); - y2 = _SIMD32_OFFSET(pIn2 + 2u); - - /* multiply and accumlate */ - acc0 = __SMLALD(x1, y1, acc0); - acc2 = __SMLALD(x2, y1, acc2); - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - /* multiply and accumlate */ - acc1 = __SMLALDX(x3, y1, acc1); - - /* Read next two samples from scratch1 buffer */ - x1 = _SIMD32_OFFSET(pScr1); - - /* multiply and accumlate */ - acc0 = __SMLALD(x2, y2, acc0); - acc2 = __SMLALD(x1, y2, acc2); - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x1, x2, 0); -#else - x3 = __PKHBT(x2, x1, 0); -#endif - - acc3 = __SMLALDX(x3, y1, acc3); - acc1 = __SMLALDX(x3, y2, acc1); - - x2 = _SIMD32_OFFSET(pScr1 + 2u); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc3 = __SMLALDX(x3, y2, acc3); - - /* update scratch pointers */ - pIn2 += 4u; - pScr1 += 4u; - - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Update scratch pointer for remaining samples of smaller length sequence */ - pScr1 -= 4u; - - /* apply same above for remaining samples of smaller length sequence */ - tapCnt = (srcBLen) & 3u; - - while(tapCnt > 0u) - { - /* accumlate the results */ - acc0 += (*pScr1++ * *pIn2); - acc1 += (*pScr1++ * *pIn2); - acc2 += (*pScr1++ * *pIn2); - acc3 += (*pScr1++ * *pIn2++); - - pScr1 -= 3u; - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - - /* Store the results in the accumulators in the destination buffer. */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); - -#else - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch1 += 4u; - - } - - - blkCnt = numPoints & 0x3; - - /* Calculate convolution for remaining samples of Bigger length sequence */ - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - - tapCnt = (srcBLen) >> 1u; - - while(tapCnt > 0u) - { - - /* Read next two samples from scratch1 buffer */ - x1 = *__SIMD32(pScr1)++; - - /* Read two samples from smaller buffer */ - y1 = *__SIMD32(pIn2)++; - - acc0 = __SMLALD(x1, y1, acc0); - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (srcBLen) & 1u; - - /* apply same above for remaining samples of smaller length sequence */ - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pIn2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch1 += 1u; - - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - - } - - /* Return to application */ - return (status); -} - -#else - -arm_status arm_conv_partial_opt_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - uint32_t firstIndex, - uint32_t numPoints, - q15_t * pScratch1, - q15_t * pScratch2) -{ - - q15_t *pOut = pDst; /* output pointer */ - q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ - q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ - q63_t acc0, acc1, acc2, acc3; /* Accumulator */ - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - uint32_t j, k, blkCnt; /* loop counter */ - arm_status status; /* Status variable */ - uint32_t tapCnt; /* loop count */ - q15_t x10, x11, x20, x21; /* Temporary variables to hold srcA buffer */ - q15_t y10, y11; /* Temporary variables to hold srcB buffer */ - - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_MATH_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* Temporary pointer for scratch2 */ - py = pScratch2; - - /* pointer to take end of scratch2 buffer */ - pScr2 = pScratch2 + srcBLen - 1; - - /* points to smaller length sequence */ - px = pIn2; - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr2-- = *px++; - *pScr2-- = *px++; - *pScr2-- = *px++; - *pScr2-- = *px++; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr2-- = *px++; - - /* Decrement the loop counter */ - k--; - } - - /* Initialze temporary scratch pointer */ - pScr1 = pScratch1; - - /* Fill (srcBLen - 1u) zeros in scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update temporary scratch pointer */ - pScr1 += (srcBLen - 1u); - - /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ - - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcALen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr1++ = *pIn1++; - *pScr1++ = *pIn1++; - *pScr1++ = *pIn1++; - *pScr1++ = *pIn1++; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcALen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr1++ = *pIn1++; - - /* Decrement the loop counter */ - k--; - } - - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = (srcBLen - 1u) >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = (srcBLen - 1u) % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - - - /* Initialization of pIn2 pointer */ - pIn2 = py; - - pScratch1 += firstIndex; - - pOut = pDst + firstIndex; - - /* Actual convolution process starts here */ - blkCnt = (numPoints) >> 2; - - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Read two samples from scratch1 buffer */ - x10 = *pScr1++; - x11 = *pScr1++; - - /* Read next two samples from scratch1 buffer */ - x20 = *pScr1++; - x21 = *pScr1++; - - tapCnt = (srcBLen) >> 2u; - - while(tapCnt > 0u) - { - - /* Read two samples from smaller buffer */ - y10 = *pIn2; - y11 = *(pIn2 + 1u); - - /* multiply and accumlate */ - acc0 += (q63_t) x10 *y10; - acc0 += (q63_t) x11 *y11; - acc2 += (q63_t) x20 *y10; - acc2 += (q63_t) x21 *y11; - - /* multiply and accumlate */ - acc1 += (q63_t) x11 *y10; - acc1 += (q63_t) x20 *y11; - - /* Read next two samples from scratch1 buffer */ - x10 = *pScr1; - x11 = *(pScr1 + 1u); - - /* multiply and accumlate */ - acc3 += (q63_t) x21 *y10; - acc3 += (q63_t) x10 *y11; - - /* Read next two samples from scratch2 buffer */ - y10 = *(pIn2 + 2u); - y11 = *(pIn2 + 3u); - - /* multiply and accumlate */ - acc0 += (q63_t) x20 *y10; - acc0 += (q63_t) x21 *y11; - acc2 += (q63_t) x10 *y10; - acc2 += (q63_t) x11 *y11; - acc1 += (q63_t) x21 *y10; - acc1 += (q63_t) x10 *y11; - - /* Read next two samples from scratch1 buffer */ - x20 = *(pScr1 + 2); - x21 = *(pScr1 + 3); - - /* multiply and accumlate */ - acc3 += (q63_t) x11 *y10; - acc3 += (q63_t) x20 *y11; - - /* update scratch pointers */ - pIn2 += 4u; - pScr1 += 4u; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Update scratch pointer for remaining samples of smaller length sequence */ - pScr1 -= 4u; - - /* apply same above for remaining samples of smaller length sequence */ - tapCnt = (srcBLen) & 3u; - - while(tapCnt > 0u) - { - /* accumlate the results */ - acc0 += (*pScr1++ * *pIn2); - acc1 += (*pScr1++ * *pIn2); - acc2 += (*pScr1++ * *pIn2); - acc3 += (*pScr1++ * *pIn2++); - - pScr1 -= 3u; - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - - /* Store the results in the accumulators in the destination buffer. */ - *pOut++ = __SSAT((acc0 >> 15), 16); - *pOut++ = __SSAT((acc1 >> 15), 16); - *pOut++ = __SSAT((acc2 >> 15), 16); - *pOut++ = __SSAT((acc3 >> 15), 16); - - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch1 += 4u; - - } - - - blkCnt = numPoints & 0x3; - - /* Calculate convolution for remaining samples of Bigger length sequence */ - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - - tapCnt = (srcBLen) >> 1u; - - while(tapCnt > 0u) - { - - /* Read next two samples from scratch1 buffer */ - x10 = *pScr1++; - x11 = *pScr1++; - - /* Read two samples from smaller buffer */ - y10 = *pIn2++; - y11 = *pIn2++; - - /* multiply and accumlate */ - acc0 += (q63_t) x10 *y10; - acc0 += (q63_t) x11 *y11; - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (srcBLen) & 1u; - - /* apply same above for remaining samples of smaller length sequence */ - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pIn2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); - - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch1 += 1u; - - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - - } - - /* Return to application */ - return (status); -} - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - -/** - * @} end of PartialConv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_opt_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,807 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_partial_opt_q7.c -* -* Description: Partial convolution of Q7 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup PartialConv - * @{ - */ - -/** - * @brief Partial convolution of Q7 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @param[in] *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - * - * \par Restrictions - * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE - * In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit - * - * - * - */ - - -#ifndef UNALIGNED_SUPPORT_DISABLE - -arm_status arm_conv_partial_opt_q7( - q7_t * pSrcA, - uint32_t srcALen, - q7_t * pSrcB, - uint32_t srcBLen, - q7_t * pDst, - uint32_t firstIndex, - uint32_t numPoints, - q15_t * pScratch1, - q15_t * pScratch2) -{ - - q15_t *pScr2, *pScr1; /* Intermediate pointers for scratch pointers */ - q15_t x4; /* Temporary input variable */ - q7_t *pIn1, *pIn2; /* inputA and inputB pointer */ - uint32_t j, k, blkCnt, tapCnt; /* loop counter */ - q7_t *px; /* Temporary input1 pointer */ - q15_t *py; /* Temporary input2 pointer */ - q31_t acc0, acc1, acc2, acc3; /* Accumulator */ - q31_t x1, x2, x3, y1; /* Temporary input variables */ - arm_status status; - q7_t *pOut = pDst; /* output pointer */ - q7_t out0, out1, out2, out3; /* temporary variables */ - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_MATH_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* pointer to take end of scratch2 buffer */ - pScr2 = pScratch2; - - /* points to smaller length sequence */ - px = pIn2 + srcBLen - 1; - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - x4 = (q15_t) * px--; - *pScr2++ = x4; - x4 = (q15_t) * px--; - *pScr2++ = x4; - x4 = (q15_t) * px--; - *pScr2++ = x4; - x4 = (q15_t) * px--; - *pScr2++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - x4 = (q15_t) * px--; - *pScr2++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* Initialze temporary scratch pointer */ - pScr1 = pScratch1; - - /* Fill (srcBLen - 1u) zeros in scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update temporary scratch pointer */ - pScr1 += (srcBLen - 1u); - - /* Copy (srcALen) samples in scratch buffer */ - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcALen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcALen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* Fill (srcBLen - 1u) zeros at end of scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update pointer */ - pScr1 += (srcBLen - 1u); - - - /* Temporary pointer for scratch2 */ - py = pScratch2; - - /* Initialization of pIn2 pointer */ - pIn2 = (q7_t *) py; - - pScr2 = py; - - pOut = pDst + firstIndex; - - pScratch1 += firstIndex; - - /* Actual convolution process starts here */ - blkCnt = (numPoints) >> 2; - - - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Read two samples from scratch1 buffer */ - x1 = *__SIMD32(pScr1)++; - - /* Read next two samples from scratch1 buffer */ - x2 = *__SIMD32(pScr1)++; - - tapCnt = (srcBLen) >> 2u; - - while(tapCnt > 0u) - { - - /* Read four samples from smaller buffer */ - y1 = _SIMD32_OFFSET(pScr2); - - /* multiply and accumlate */ - acc0 = __SMLAD(x1, y1, acc0); - acc2 = __SMLAD(x2, y1, acc2); - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - /* multiply and accumlate */ - acc1 = __SMLADX(x3, y1, acc1); - - /* Read next two samples from scratch1 buffer */ - x1 = *__SIMD32(pScr1)++; - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x1, x2, 0); -#else - x3 = __PKHBT(x2, x1, 0); -#endif - - acc3 = __SMLADX(x3, y1, acc3); - - /* Read four samples from smaller buffer */ - y1 = _SIMD32_OFFSET(pScr2 + 2u); - - acc0 = __SMLAD(x2, y1, acc0); - - acc2 = __SMLAD(x1, y1, acc2); - - acc1 = __SMLADX(x3, y1, acc1); - - x2 = *__SIMD32(pScr1)++; - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc3 = __SMLADX(x3, y1, acc3); - - pScr2 += 4u; - - - /* Decrement the loop counter */ - tapCnt--; - } - - - - /* Update scratch pointer for remaining samples of smaller length sequence */ - pScr1 -= 4u; - - - /* apply same above for remaining samples of smaller length sequence */ - tapCnt = (srcBLen) & 3u; - - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pScr2); - acc1 += (*pScr1++ * *pScr2); - acc2 += (*pScr1++ * *pScr2); - acc3 += (*pScr1++ * *pScr2++); - - pScr1 -= 3u; - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* Store the result in the accumulator in the destination buffer. */ - out0 = (q7_t) (__SSAT(acc0 >> 7u, 8)); - out1 = (q7_t) (__SSAT(acc1 >> 7u, 8)); - out2 = (q7_t) (__SSAT(acc2 >> 7u, 8)); - out3 = (q7_t) (__SSAT(acc3 >> 7u, 8)); - - *__SIMD32(pOut)++ = __PACKq7(out0, out1, out2, out3); - - /* Initialization of inputB pointer */ - pScr2 = py; - - pScratch1 += 4u; - - } - - blkCnt = (numPoints) & 0x3; - - /* Calculate convolution for remaining samples of Bigger length sequence */ - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - - tapCnt = (srcBLen) >> 1u; - - while(tapCnt > 0u) - { - - /* Read next two samples from scratch1 buffer */ - x1 = *__SIMD32(pScr1)++; - - /* Read two samples from smaller buffer */ - y1 = *__SIMD32(pScr2)++; - - acc0 = __SMLAD(x1, y1, acc0); - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (srcBLen) & 1u; - - /* apply same above for remaining samples of smaller length sequence */ - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pScr2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8)); - - /* Initialization of inputB pointer */ - pScr2 = py; - - pScratch1 += 1u; - - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - - - } - - return (status); - -} - -#else - -arm_status arm_conv_partial_opt_q7( - q7_t * pSrcA, - uint32_t srcALen, - q7_t * pSrcB, - uint32_t srcBLen, - q7_t * pDst, - uint32_t firstIndex, - uint32_t numPoints, - q15_t * pScratch1, - q15_t * pScratch2) -{ - - q15_t *pScr2, *pScr1; /* Intermediate pointers for scratch pointers */ - q15_t x4; /* Temporary input variable */ - q7_t *pIn1, *pIn2; /* inputA and inputB pointer */ - uint32_t j, k, blkCnt, tapCnt; /* loop counter */ - q7_t *px; /* Temporary input1 pointer */ - q15_t *py; /* Temporary input2 pointer */ - q31_t acc0, acc1, acc2, acc3; /* Accumulator */ - arm_status status; - q7_t *pOut = pDst; /* output pointer */ - q15_t x10, x11, x20, x21; /* Temporary input variables */ - q15_t y10, y11; /* Temporary input variables */ - q7_t out0, out1, out2, out3; /* temporary variables */ - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_MATH_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* pointer to take end of scratch2 buffer */ - pScr2 = pScratch2; - - /* points to smaller length sequence */ - px = pIn2 + srcBLen - 1; - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - x4 = (q15_t) * px--; - *pScr2++ = x4; - x4 = (q15_t) * px--; - *pScr2++ = x4; - x4 = (q15_t) * px--; - *pScr2++ = x4; - x4 = (q15_t) * px--; - *pScr2++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - x4 = (q15_t) * px--; - *pScr2++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* Initialze temporary scratch pointer */ - pScr1 = pScratch1; - - /* Fill (srcBLen - 1u) zeros in scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update temporary scratch pointer */ - pScr1 += (srcBLen - 1u); - - /* Copy (srcALen) samples in scratch buffer */ - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = srcALen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcALen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - k = (srcBLen - 1u) >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = (srcBLen - 1u) % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - - - /* Temporary pointer for scratch2 */ - py = pScratch2; - - /* Initialization of pIn2 pointer */ - pIn2 = (q7_t *) py; - - pScr2 = py; - - pOut = pDst + firstIndex; - - pScratch1 += firstIndex; - - /* Actual convolution process starts here */ - blkCnt = (numPoints) >> 2; - - - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Read two samples from scratch1 buffer */ - x10 = *pScr1++; - x11 = *pScr1++; - - /* Read next two samples from scratch1 buffer */ - x20 = *pScr1++; - x21 = *pScr1++; - - tapCnt = (srcBLen) >> 2u; - - while(tapCnt > 0u) - { - - /* Read four samples from smaller buffer */ - y10 = *pScr2; - y11 = *(pScr2 + 1u); - - /* multiply and accumlate */ - acc0 += (q31_t) x10 *y10; - acc0 += (q31_t) x11 *y11; - acc2 += (q31_t) x20 *y10; - acc2 += (q31_t) x21 *y11; - - - acc1 += (q31_t) x11 *y10; - acc1 += (q31_t) x20 *y11; - - /* Read next two samples from scratch1 buffer */ - x10 = *pScr1; - x11 = *(pScr1 + 1u); - - /* multiply and accumlate */ - acc3 += (q31_t) x21 *y10; - acc3 += (q31_t) x10 *y11; - - /* Read next two samples from scratch2 buffer */ - y10 = *(pScr2 + 2u); - y11 = *(pScr2 + 3u); - - /* multiply and accumlate */ - acc0 += (q31_t) x20 *y10; - acc0 += (q31_t) x21 *y11; - acc2 += (q31_t) x10 *y10; - acc2 += (q31_t) x11 *y11; - acc1 += (q31_t) x21 *y10; - acc1 += (q31_t) x10 *y11; - - /* Read next two samples from scratch1 buffer */ - x20 = *(pScr1 + 2); - x21 = *(pScr1 + 3); - - /* multiply and accumlate */ - acc3 += (q31_t) x11 *y10; - acc3 += (q31_t) x20 *y11; - - /* update scratch pointers */ - - pScr1 += 4u; - pScr2 += 4u; - - /* Decrement the loop counter */ - tapCnt--; - } - - - - /* Update scratch pointer for remaining samples of smaller length sequence */ - pScr1 -= 4u; - - - /* apply same above for remaining samples of smaller length sequence */ - tapCnt = (srcBLen) & 3u; - - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pScr2); - acc1 += (*pScr1++ * *pScr2); - acc2 += (*pScr1++ * *pScr2); - acc3 += (*pScr1++ * *pScr2++); - - pScr1 -= 3u; - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* Store the result in the accumulator in the destination buffer. */ - out0 = (q7_t) (__SSAT(acc0 >> 7u, 8)); - out1 = (q7_t) (__SSAT(acc1 >> 7u, 8)); - out2 = (q7_t) (__SSAT(acc2 >> 7u, 8)); - out3 = (q7_t) (__SSAT(acc3 >> 7u, 8)); - - - *__SIMD32(pOut)++ = __PACKq7(out0, out1, out2, out3); - - /* Initialization of inputB pointer */ - pScr2 = py; - - pScratch1 += 4u; - - } - - blkCnt = (numPoints) & 0x3; - - /* Calculate convolution for remaining samples of Bigger length sequence */ - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - - tapCnt = (srcBLen) >> 1u; - - while(tapCnt > 0u) - { - - /* Read next two samples from scratch1 buffer */ - x10 = *pScr1++; - x11 = *pScr1++; - - /* Read two samples from smaller buffer */ - y10 = *pScr2++; - y11 = *pScr2++; - - /* multiply and accumlate */ - acc0 += (q31_t) x10 *y10; - acc0 += (q31_t) x11 *y11; - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (srcBLen) & 1u; - - /* apply same above for remaining samples of smaller length sequence */ - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pScr2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8)); - - /* Initialization of inputB pointer */ - pScr2 = py; - - pScratch1 += 1u; - - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - - } - - return (status); - -} - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - - -/** - * @} end of PartialConv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,779 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_partial_q15.c -* -* Description: Partial convolution of Q15 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup PartialConv - * @{ - */ - -/** - * @brief Partial convolution of Q15 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - * - * Refer to <code>arm_conv_partial_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. - * - * \par - * Refer the function <code>arm_conv_partial_opt_q15()</code> for a faster implementation of this function using scratch buffers. - * - */ - - -arm_status arm_conv_partial_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - uint32_t firstIndex, - uint32_t numPoints) -{ - -#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *pOut = pDst; /* output pointer */ - q63_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ - q31_t x0, x1, x2, x3, c0; /* Temporary input variables */ - uint32_t j, k, count, check, blkCnt; - int32_t blockSize1, blockSize2, blockSize3; /* loop counter */ - arm_status status; /* status of Partial convolution */ - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_MATH_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* Conditions to check which loopCounter holds - * the first and last indices of the output samples to be calculated. */ - check = firstIndex + numPoints; - blockSize3 = ((int32_t) check - (int32_t) srcALen); - blockSize3 = (blockSize3 > 0) ? blockSize3 : 0; - blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex); - blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 : - (int32_t) numPoints) : 0; - blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + - (int32_t) firstIndex); - blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* Set the output pointer to point to the firstIndex - * of the output sample to be calculated. */ - pOut = pDst + firstIndex; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed. - Since the partial convolution starts from firstIndex - Number of Macs to be performed is firstIndex + 1 */ - count = 1u + firstIndex; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + firstIndex; - py = pSrc2; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* For loop unrolling by 4, this stage is divided into two. */ - /* First part of this stage computes the MAC operations less than 4 */ - /* Second part of this stage computes the MAC operations greater than or equal to 4 */ - - /* The first part of the stage starts here */ - while((count < 4u) && (blockSize1 > 0)) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Loop over number of MAC operations between - * inputA samples and inputB samples */ - k = count; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = __SMLALD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = ++pSrc2; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* The second part of the stage starts here */ - /* The internal loop, over count, is unrolled by 4 */ - /* To, read the last two inputB samples using SIMD: - * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ - py = py - 1; - - while(blockSize1 > 0) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ - sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ - sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* For the next MAC operations, the pointer py is used without SIMD - * So, py is incremented by 1 */ - py = py + 1u; - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = __SMLALD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = ++pSrc2 - 1u; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is the index by which the pointer pIn1 to be incremented */ - count = 0u; - - - /* -------------------- - * Stage2 process - * -------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = blockSize2 >> 2u; - - while(blkCnt > 0u) - { - py = py - 1u; - - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - - /* read x[0], x[1] samples */ - x0 = *__SIMD32(px); - /* read x[1], x[2] samples */ - x1 = _SIMD32_OFFSET(px+1); - px+= 2u; - - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read the last two inputB samples using SIMD: - * y[srcBLen - 1] and y[srcBLen - 2] */ - c0 = *__SIMD32(py)--; - - /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ - acc0 = __SMLALDX(x0, c0, acc0); - - /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ - acc1 = __SMLALDX(x1, c0, acc1); - - /* Read x[2], x[3] */ - x2 = *__SIMD32(px); - - /* Read x[3], x[4] */ - x3 = _SIMD32_OFFSET(px+1); - - /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ - acc2 = __SMLALDX(x2, c0, acc2); - - /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ - acc3 = __SMLALDX(x3, c0, acc3); - - /* Read y[srcBLen - 3] and y[srcBLen - 4] */ - c0 = *__SIMD32(py)--; - - /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ - acc0 = __SMLALDX(x2, c0, acc0); - - /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ - acc1 = __SMLALDX(x3, c0, acc1); - - /* Read x[4], x[5] */ - x0 = _SIMD32_OFFSET(px+2); - - /* Read x[5], x[6] */ - x1 = _SIMD32_OFFSET(px+3); - px += 4u; - - /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ - acc2 = __SMLALDX(x0, c0, acc2); - - /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ - acc3 = __SMLALDX(x1, c0, acc3); - - } while(--k); - - /* For the next MAC operations, SIMD is not used - * So, the 16 bit pointer if inputB, py is updated */ - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - if(k == 1u) - { - /* Read y[srcBLen - 5] */ - c0 = *(py+1); - -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; - -#else - - c0 = c0 & 0x0000FFFF; - -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[7] */ - x3 = *__SIMD32(px); - px++; - - /* Perform the multiply-accumulates */ - acc0 = __SMLALD(x0, c0, acc0); - acc1 = __SMLALD(x1, c0, acc1); - acc2 = __SMLALDX(x1, c0, acc2); - acc3 = __SMLALDX(x3, c0, acc3); - } - - if(k == 2u) - { - /* Read y[srcBLen - 5], y[srcBLen - 6] */ - c0 = _SIMD32_OFFSET(py); - - /* Read x[7], x[8] */ - x3 = *__SIMD32(px); - - /* Read x[9] */ - x2 = _SIMD32_OFFSET(px+1); - px += 2u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLALDX(x0, c0, acc0); - acc1 = __SMLALDX(x1, c0, acc1); - acc2 = __SMLALDX(x3, c0, acc2); - acc3 = __SMLALDX(x2, c0, acc3); - } - - if(k == 3u) - { - /* Read y[srcBLen - 5], y[srcBLen - 6] */ - c0 = _SIMD32_OFFSET(py); - - /* Read x[7], x[8] */ - x3 = *__SIMD32(px); - - /* Read x[9] */ - x2 = _SIMD32_OFFSET(px+1); - - /* Perform the multiply-accumulates */ - acc0 = __SMLALDX(x0, c0, acc0); - acc1 = __SMLALDX(x1, c0, acc1); - acc2 = __SMLALDX(x3, c0, acc2); - acc3 = __SMLALDX(x2, c0, acc3); - - c0 = *(py-1); - -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; -#else - - c0 = c0 & 0x0000FFFF; -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[10] */ - x3 = _SIMD32_OFFSET(px+2); - px += 3u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLALDX(x1, c0, acc0); - acc1 = __SMLALD(x2, c0, acc1); - acc2 = __SMLALDX(x2, c0, acc2); - acc3 = __SMLALDX(x3, c0, acc3); - } - - - /* Store the results in the accumulators in the destination buffer. */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); - -#else - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Increment the pointer pIn1 index, count by 4 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = (uint32_t) blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += (q63_t) ((q31_t) * px++ * *py--); - sum += (q63_t) ((q31_t) * px++ * *py--); - sum += (q63_t) ((q31_t) * px++ * *py--); - sum += (q63_t) ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += (q63_t) ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT(sum >> 15, 16)); - - /* Increment the pointer pIn1 index, count by 1 */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = (uint32_t) blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += (q63_t) ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT(sum >> 15, 16)); - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - pIn2 = pSrc2 - 1u; - py = pIn2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - /* For loop unrolling by 4, this stage is divided into two. */ - /* First part of this stage computes the MAC operations greater than 4 */ - /* Second part of this stage computes the MAC operations less than or equal to 4 */ - - /* The first part of the stage starts here */ - j = count >> 2u; - - while((j > 0u) && (blockSize3 > 0)) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied - * with y[srcBLen - 1], y[srcBLen - 2] respectively */ - sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied - * with y[srcBLen - 3], y[srcBLen - 4] respectively */ - sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* For the next MAC operations, the pointer py is used without SIMD - * So, py is incremented by 1 */ - py = py + 1u; - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ - sum = __SMLALD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pIn2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - - j--; - } - - /* The second part of the stage starts here */ - /* SIMD is not used for the next MAC operations, - * so pointer py is updated to read only one sample at a time */ - py = py + 1u; - - while(blockSize3 > 0) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen-1] * y[srcBLen-1] */ - sum = __SMLALD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); - -#else - - /* Run the below code for Cortex-M0 */ - - q15_t *pIn1 = pSrcA; /* inputA pointer */ - q15_t *pIn2 = pSrcB; /* inputB pointer */ - q63_t sum; /* Accumulator */ - uint32_t i, j; /* loop counters */ - arm_status status; /* status of Partial convolution */ - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - /* Loop to calculate convolution for output length number of values */ - for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++) - { - /* Initialize sum with zero to carry on MAC operations */ - sum = 0; - - /* Loop to perform MAC operations according to convolution equation */ - for (j = 0; j <= i; j++) - { - /* Check the array limitations */ - if(((i - j) < srcBLen) && (j < srcALen)) - { - /* z[i] += x[i-j] * y[j] */ - sum += ((q31_t) pIn1[j] * (pIn2[i - j])); - } - } - - /* Store the output in the destination buffer */ - pDst[i] = (q15_t) __SSAT((sum >> 15u), 16u); - } - /* set status as ARM_SUCCESS as there are no argument errors */ - status = ARM_MATH_SUCCESS; - } - return (status); - -#endif /* #if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) */ - -} - -/** - * @} end of PartialConv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,600 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_partial_q31.c -* -* Description: Partial convolution of Q31 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup PartialConv - * @{ - */ - -/** - * @brief Partial convolution of Q31 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - * - * See <code>arm_conv_partial_fast_q31()</code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. - */ - -arm_status arm_conv_partial_q31( - q31_t * pSrcA, - uint32_t srcALen, - q31_t * pSrcB, - uint32_t srcBLen, - q31_t * pDst, - uint32_t firstIndex, - uint32_t numPoints) -{ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t *pIn1; /* inputA pointer */ - q31_t *pIn2; /* inputB pointer */ - q31_t *pOut = pDst; /* output pointer */ - q31_t *px; /* Intermediate inputA pointer */ - q31_t *py; /* Intermediate inputB pointer */ - q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ - q63_t sum, acc0, acc1, acc2; /* Accumulator */ - q31_t x0, x1, x2, c0; - uint32_t j, k, count, check, blkCnt; - int32_t blockSize1, blockSize2, blockSize3; /* loop counter */ - arm_status status; /* status of Partial convolution */ - - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_MATH_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* Conditions to check which loopCounter holds - * the first and last indices of the output samples to be calculated. */ - check = firstIndex + numPoints; - blockSize3 = ((int32_t) check - (int32_t) srcALen); - blockSize3 = (blockSize3 > 0) ? blockSize3 : 0; - blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex); - blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 : - (int32_t) numPoints) : 0; - blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + - (int32_t) firstIndex); - blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* Set the output pointer to point to the firstIndex - * of the output sample to be calculated. */ - pOut = pDst + firstIndex; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed. - Since the partial convolution starts from firstIndex - Number of Macs to be performed is firstIndex + 1 */ - count = 1u + firstIndex; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + firstIndex; - py = pSrc2; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first loop starts here */ - while(blockSize1 > 0) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] * y[srcBLen - 1] */ - sum += (q63_t) * px++ * (*py--); - /* x[1] * y[srcBLen - 2] */ - sum += (q63_t) * px++ * (*py--); - /* x[2] * y[srcBLen - 3] */ - sum += (q63_t) * px++ * (*py--); - /* x[3] * y[srcBLen - 4] */ - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q31_t) (sum >> 31); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = ++pSrc2; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blkCnt */ - - blkCnt = blockSize2 / 3; - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - - /* read x[0], x[1] samples */ - x0 = *(px++); - x1 = *(px++); - - /* Apply loop unrolling and compute 3 MACs simultaneously. */ - k = srcBLen / 3; - - /* First part of the processing with loop unrolling. Compute 3 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 2 samples. */ - do - { - /* Read y[srcBLen - 1] sample */ - c0 = *(py); - - /* Read x[2] sample */ - x2 = *(px); - - /* Perform the multiply-accumulates */ - /* acc0 += x[0] * y[srcBLen - 1] */ - acc0 += (q63_t) x0 *c0; - /* acc1 += x[1] * y[srcBLen - 1] */ - acc1 += (q63_t) x1 *c0; - /* acc2 += x[2] * y[srcBLen - 1] */ - acc2 += (q63_t) x2 *c0; - - /* Read y[srcBLen - 2] sample */ - c0 = *(py - 1u); - - /* Read x[3] sample */ - x0 = *(px + 1u); - - /* Perform the multiply-accumulate */ - /* acc0 += x[1] * y[srcBLen - 2] */ - acc0 += (q63_t) x1 *c0; - /* acc1 += x[2] * y[srcBLen - 2] */ - acc1 += (q63_t) x2 *c0; - /* acc2 += x[3] * y[srcBLen - 2] */ - acc2 += (q63_t) x0 *c0; - - /* Read y[srcBLen - 3] sample */ - c0 = *(py - 2u); - - /* Read x[4] sample */ - x1 = *(px + 2u); - - /* Perform the multiply-accumulates */ - /* acc0 += x[2] * y[srcBLen - 3] */ - acc0 += (q63_t) x2 *c0; - /* acc1 += x[3] * y[srcBLen - 2] */ - acc1 += (q63_t) x0 *c0; - /* acc2 += x[4] * y[srcBLen - 2] */ - acc2 += (q63_t) x1 *c0; - - - px += 3u; - - py -= 3u; - - } while(--k); - - /* If the srcBLen is not a multiple of 3, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen - (3 * (srcBLen / 3)); - - while(k > 0u) - { - /* Read y[srcBLen - 5] sample */ - c0 = *(py--); - - /* Read x[7] sample */ - x2 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[4] * y[srcBLen - 5] */ - acc0 += (q63_t) x0 *c0; - /* acc1 += x[5] * y[srcBLen - 5] */ - acc1 += (q63_t) x1 *c0; - /* acc2 += x[6] * y[srcBLen - 5] */ - acc2 += (q63_t) x2 *c0; - - /* Reuse the present samples for the next MAC */ - x0 = x1; - x1 = x2; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q31_t) (acc0 >> 31); - *pOut++ = (q31_t) (acc1 >> 31); - *pOut++ = (q31_t) (acc2 >> 31); - - /* Increment the pointer pIn1 index, count by 3 */ - count += 3u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 - 3 * (blockSize2 / 3); - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += (q63_t) * px++ * (*py--); - sum += (q63_t) * px++ * (*py--); - sum += (q63_t) * px++ * (*py--); - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q31_t) (sum >> 31); - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = (uint32_t) blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q31_t) (sum >> 31); - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The blockSize3 variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - sum += (q63_t) * px++ * (*py--); - sum += (q63_t) * px++ * (*py--); - sum += (q63_t) * px++ * (*py--); - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q31_t) (sum >> 31); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); - -#else - - /* Run the below code for Cortex-M0 */ - - q31_t *pIn1 = pSrcA; /* inputA pointer */ - q31_t *pIn2 = pSrcB; /* inputB pointer */ - q63_t sum; /* Accumulator */ - uint32_t i, j; /* loop counters */ - arm_status status; /* status of Partial convolution */ - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - /* Loop to calculate convolution for output length number of values */ - for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++) - { - /* Initialize sum with zero to carry on MAC operations */ - sum = 0; - - /* Loop to perform MAC operations according to convolution equation */ - for (j = 0; j <= i; j++) - { - /* Check the array limitations */ - if(((i - j) < srcBLen) && (j < srcALen)) - { - /* z[i] += x[i-j] * y[j] */ - sum += ((q63_t) pIn1[j] * (pIn2[i - j])); - } - } - - /* Store the output in the destination buffer */ - pDst[i] = (q31_t) (sum >> 31u); - } - /* set status as ARM_SUCCESS as there are no argument errors */ - status = ARM_MATH_SUCCESS; - } - return (status); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of PartialConv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_partial_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,734 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_partial_q7.c -* -* Description: Partial convolution of Q7 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup PartialConv - * @{ - */ - -/** - * @brief Partial convolution of Q7 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. - * @param[in] firstIndex is the first output sample to start with. - * @param[in] numPoints is the number of output points to be computed. - * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. - * - * \par - * Refer the function <code>arm_conv_partial_opt_q7()</code> for a faster implementation of this function. - * - */ - -arm_status arm_conv_partial_q7( - q7_t * pSrcA, - uint32_t srcALen, - q7_t * pSrcB, - uint32_t srcBLen, - q7_t * pDst, - uint32_t firstIndex, - uint32_t numPoints) -{ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q7_t *pIn1; /* inputA pointer */ - q7_t *pIn2; /* inputB pointer */ - q7_t *pOut = pDst; /* output pointer */ - q7_t *px; /* Intermediate inputA pointer */ - q7_t *py; /* Intermediate inputB pointer */ - q7_t *pSrc1, *pSrc2; /* Intermediate pointers */ - q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ - q31_t input1, input2; - q15_t in1, in2; - q7_t x0, x1, x2, x3, c0, c1; - uint32_t j, k, count, check, blkCnt; - int32_t blockSize1, blockSize2, blockSize3; /* loop counter */ - arm_status status; - - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_MATH_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* Conditions to check which loopCounter holds - * the first and last indices of the output samples to be calculated. */ - check = firstIndex + numPoints; - blockSize3 = ((int32_t) check - (int32_t) srcALen); - blockSize3 = (blockSize3 > 0) ? blockSize3 : 0; - blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex); - blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1u)) ? blockSize1 : - (int32_t) numPoints) : 0; - blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + - (int32_t) firstIndex); - blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* Set the output pointer to point to the firstIndex - * of the output sample to be calculated. */ - pOut = pDst + firstIndex; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed. - Since the partial convolution starts from from firstIndex - Number of Macs to be performed is firstIndex + 1 */ - count = 1u + firstIndex; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + firstIndex; - py = pSrc2; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first stage starts here */ - while(blockSize1 > 0) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] , x[1] */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* y[srcBLen - 1] , y[srcBLen - 2] */ - in1 = (q15_t) * py--; - in2 = (q15_t) * py--; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* x[0] * y[srcBLen - 1] */ - /* x[1] * y[srcBLen - 2] */ - sum = __SMLAD(input1, input2, sum); - - /* x[2] , x[3] */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* y[srcBLen - 3] , y[srcBLen - 4] */ - in1 = (q15_t) * py--; - in2 = (q15_t) * py--; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* x[2] * y[srcBLen - 3] */ - /* x[3] * y[srcBLen - 4] */ - sum = __SMLAD(input1, input2, sum); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q7_t) (__SSAT(sum >> 7, 8)); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = ++pSrc2; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = ((uint32_t) blockSize2 >> 2u); - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* read x[0], x[1], x[2] samples */ - x0 = *(px++); - x1 = *(px++); - x2 = *(px++); - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read y[srcBLen - 1] sample */ - c0 = *(py--); - /* Read y[srcBLen - 2] sample */ - c1 = *(py--); - - /* Read x[3] sample */ - x3 = *(px++); - - /* x[0] and x[1] are packed */ - in1 = (q15_t) x0; - in2 = (q15_t) x1; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* y[srcBLen - 1] and y[srcBLen - 2] are packed */ - in1 = (q15_t) c0; - in2 = (q15_t) c1; - - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ - acc0 = __SMLAD(input1, input2, acc0); - - /* x[1] and x[2] are packed */ - in1 = (q15_t) x1; - in2 = (q15_t) x2; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ - acc1 = __SMLAD(input1, input2, acc1); - - /* x[2] and x[3] are packed */ - in1 = (q15_t) x2; - in2 = (q15_t) x3; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ - acc2 = __SMLAD(input1, input2, acc2); - - /* Read x[4] sample */ - x0 = *(px++); - - /* x[3] and x[4] are packed */ - in1 = (q15_t) x3; - in2 = (q15_t) x0; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ - acc3 = __SMLAD(input1, input2, acc3); - - /* Read y[srcBLen - 3] sample */ - c0 = *(py--); - /* Read y[srcBLen - 4] sample */ - c1 = *(py--); - - /* Read x[5] sample */ - x1 = *(px++); - - /* x[2] and x[3] are packed */ - in1 = (q15_t) x2; - in2 = (q15_t) x3; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* y[srcBLen - 3] and y[srcBLen - 4] are packed */ - in1 = (q15_t) c0; - in2 = (q15_t) c1; - - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ - acc0 = __SMLAD(input1, input2, acc0); - - /* x[3] and x[4] are packed */ - in1 = (q15_t) x3; - in2 = (q15_t) x0; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ - acc1 = __SMLAD(input1, input2, acc1); - - /* x[4] and x[5] are packed */ - in1 = (q15_t) x0; - in2 = (q15_t) x1; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ - acc2 = __SMLAD(input1, input2, acc2); - - /* Read x[6] sample */ - x2 = *(px++); - - /* x[5] and x[6] are packed */ - in1 = (q15_t) x1; - in2 = (q15_t) x2; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ - acc3 = __SMLAD(input1, input2, acc3); - - } while(--k); - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Read y[srcBLen - 5] sample */ - c0 = *(py--); - - /* Read x[7] sample */ - x3 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[4] * y[srcBLen - 5] */ - acc0 += ((q31_t) x0 * c0); - /* acc1 += x[5] * y[srcBLen - 5] */ - acc1 += ((q31_t) x1 * c0); - /* acc2 += x[6] * y[srcBLen - 5] */ - acc2 += ((q31_t) x2 * c0); - /* acc3 += x[7] * y[srcBLen - 5] */ - acc3 += ((q31_t) x3 * c0); - - /* Reuse the present samples for the next MAC */ - x0 = x1; - x1 = x2; - x2 = x3; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q7_t) (__SSAT(acc0 >> 7, 8)); - *pOut++ = (q7_t) (__SSAT(acc1 >> 7, 8)); - *pOut++ = (q7_t) (__SSAT(acc2 >> 7, 8)); - *pOut++ = (q7_t) (__SSAT(acc3 >> 7, 8)); - - /* Increment the pointer pIn1 index, count by 4 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = (uint32_t) blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - - /* Reading two inputs of SrcA buffer and packing */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* Reading two inputs of SrcB buffer and packing */ - in1 = (q15_t) * py--; - in2 = (q15_t) * py--; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* Perform the multiply-accumulates */ - sum = __SMLAD(input1, input2, sum); - - /* Reading two inputs of SrcA buffer and packing */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* Reading two inputs of SrcB buffer and packing */ - in1 = (q15_t) * py--; - in2 = (q15_t) * py--; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* Perform the multiply-accumulates */ - sum = __SMLAD(input1, input2, sum); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q7_t) (__SSAT(sum >> 7, 8)); - - /* Increment the pointer pIn1 index, count by 1 */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = (uint32_t) blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q7_t) (__SSAT(sum >> 7, 8)); - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */ - in1 = (q15_t) * py--; - in2 = (q15_t) * py--; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ - /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ - sum = __SMLAD(input1, input2, sum); - - /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */ - in1 = (q15_t) * py--; - in2 = (q15_t) * py--; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ - /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ - sum = __SMLAD(input1, input2, sum); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen-1] * y[srcBLen-1] */ - sum += ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q7_t) (__SSAT(sum >> 7, 8)); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); - -#else - - /* Run the below code for Cortex-M0 */ - - q7_t *pIn1 = pSrcA; /* inputA pointer */ - q7_t *pIn2 = pSrcB; /* inputB pointer */ - q31_t sum; /* Accumulator */ - uint32_t i, j; /* loop counters */ - arm_status status; /* status of Partial convolution */ - - /* Check for range of output samples to be calculated */ - if((firstIndex + numPoints) > ((srcALen + (srcBLen - 1u)))) - { - /* Set status as ARM_ARGUMENT_ERROR */ - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - /* Loop to calculate convolution for output length number of values */ - for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++) - { - /* Initialize sum with zero to carry on MAC operations */ - sum = 0; - - /* Loop to perform MAC operations according to convolution equation */ - for (j = 0; j <= i; j++) - { - /* Check the array limitations */ - if(((i - j) < srcBLen) && (j < srcALen)) - { - /* z[i] += x[i-j] * y[j] */ - sum += ((q15_t) pIn1[j] * (pIn2[i - j])); - } - } - - /* Store the output in the destination buffer */ - pDst[i] = (q7_t) __SSAT((sum >> 7u), 8u); - } - /* set status as ARM_SUCCESS as there are no argument errors */ - status = ARM_MATH_SUCCESS; - } - return (status); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of PartialConv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,734 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_q15.c -* -* Description: Convolution of Q15 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Conv - * @{ - */ - -/** - * @brief Convolution of Q15 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 64-bit internal accumulator. - * Both inputs are in 1.15 format and multiplications yield a 2.30 result. - * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. - * This approach provides 33 guard bits and there is no risk of overflow. - * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. - * - * \par - * Refer to <code>arm_conv_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. - * - * \par - * Refer the function <code>arm_conv_opt_q15()</code> for a faster implementation of this function using scratch buffers. - * - */ - -void arm_conv_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst) -{ - -#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *pOut = pDst; /* output pointer */ - q63_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ - q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt; /* loop counter */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* The algorithm is implemented in three stages. - The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = srcALen - (srcBLen - 1u); - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* For loop unrolling by 4, this stage is divided into two. */ - /* First part of this stage computes the MAC operations less than 4 */ - /* Second part of this stage computes the MAC operations greater than or equal to 4 */ - - /* The first part of the stage starts here */ - while((count < 4u) && (blockSize1 > 0u)) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Loop over number of MAC operations between - * inputA samples and inputB samples */ - k = count; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = __SMLALD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pIn2 + count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* The second part of the stage starts here */ - /* The internal loop, over count, is unrolled by 4 */ - /* To, read the last two inputB samples using SIMD: - * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ - py = py - 1; - - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ - sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ - sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* For the next MAC operations, the pointer py is used without SIMD - * So, py is incremented by 1 */ - py = py + 1u; - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = __SMLALD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pIn2 + (count - 1u); - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is the index by which the pointer pIn1 to be incremented */ - count = 0u; - - - /* -------------------- - * Stage2 process - * -------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = blockSize2 >> 2u; - - while(blkCnt > 0u) - { - py = py - 1u; - - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - - /* read x[0], x[1] samples */ - x0 = *__SIMD32(px); - /* read x[1], x[2] samples */ - x1 = _SIMD32_OFFSET(px+1); - px+= 2u; - - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read the last two inputB samples using SIMD: - * y[srcBLen - 1] and y[srcBLen - 2] */ - c0 = *__SIMD32(py)--; - - /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ - acc0 = __SMLALDX(x0, c0, acc0); - - /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ - acc1 = __SMLALDX(x1, c0, acc1); - - /* Read x[2], x[3] */ - x2 = *__SIMD32(px); - - /* Read x[3], x[4] */ - x3 = _SIMD32_OFFSET(px+1); - - /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ - acc2 = __SMLALDX(x2, c0, acc2); - - /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ - acc3 = __SMLALDX(x3, c0, acc3); - - /* Read y[srcBLen - 3] and y[srcBLen - 4] */ - c0 = *__SIMD32(py)--; - - /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ - acc0 = __SMLALDX(x2, c0, acc0); - - /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ - acc1 = __SMLALDX(x3, c0, acc1); - - /* Read x[4], x[5] */ - x0 = _SIMD32_OFFSET(px+2); - - /* Read x[5], x[6] */ - x1 = _SIMD32_OFFSET(px+3); - px += 4u; - - /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ - acc2 = __SMLALDX(x0, c0, acc2); - - /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ - acc3 = __SMLALDX(x1, c0, acc3); - - } while(--k); - - /* For the next MAC operations, SIMD is not used - * So, the 16 bit pointer if inputB, py is updated */ - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - if(k == 1u) - { - /* Read y[srcBLen - 5] */ - c0 = *(py+1); - -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; - -#else - - c0 = c0 & 0x0000FFFF; - -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - /* Read x[7] */ - x3 = *__SIMD32(px); - px++; - - /* Perform the multiply-accumulates */ - acc0 = __SMLALD(x0, c0, acc0); - acc1 = __SMLALD(x1, c0, acc1); - acc2 = __SMLALDX(x1, c0, acc2); - acc3 = __SMLALDX(x3, c0, acc3); - } - - if(k == 2u) - { - /* Read y[srcBLen - 5], y[srcBLen - 6] */ - c0 = _SIMD32_OFFSET(py); - - /* Read x[7], x[8] */ - x3 = *__SIMD32(px); - - /* Read x[9] */ - x2 = _SIMD32_OFFSET(px+1); - px += 2u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLALDX(x0, c0, acc0); - acc1 = __SMLALDX(x1, c0, acc1); - acc2 = __SMLALDX(x3, c0, acc2); - acc3 = __SMLALDX(x2, c0, acc3); - } - - if(k == 3u) - { - /* Read y[srcBLen - 5], y[srcBLen - 6] */ - c0 = _SIMD32_OFFSET(py); - - /* Read x[7], x[8] */ - x3 = *__SIMD32(px); - - /* Read x[9] */ - x2 = _SIMD32_OFFSET(px+1); - - /* Perform the multiply-accumulates */ - acc0 = __SMLALDX(x0, c0, acc0); - acc1 = __SMLALDX(x1, c0, acc1); - acc2 = __SMLALDX(x3, c0, acc2); - acc3 = __SMLALDX(x2, c0, acc3); - - c0 = *(py-1); - -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; -#else - - c0 = c0 & 0x0000FFFF; -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - /* Read x[10] */ - x3 = _SIMD32_OFFSET(px+2); - px += 3u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLALDX(x1, c0, acc0); - acc1 = __SMLALD(x2, c0, acc1); - acc2 = __SMLALDX(x2, c0, acc2); - acc3 = __SMLALDX(x3, c0, acc3); - } - - - /* Store the results in the accumulators in the destination buffer. */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); - -#else - - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); - *__SIMD32(pOut)++ = - __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Increment the pointer pIn1 index, count by 4 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += (q63_t) ((q31_t) * px++ * *py--); - sum += (q63_t) ((q31_t) * px++ * *py--); - sum += (q63_t) ((q31_t) * px++ * *py--); - sum += (q63_t) ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += (q63_t) ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT(sum >> 15, 16)); - - /* Increment the pointer pIn1 index, count by 1 */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += (q63_t) ((q31_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT(sum >> 15, 16)); - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The blockSize3 variable holds the number of MAC operations performed */ - - blockSize3 = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - pIn2 = pSrc2 - 1u; - py = pIn2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - /* For loop unrolling by 4, this stage is divided into two. */ - /* First part of this stage computes the MAC operations greater than 4 */ - /* Second part of this stage computes the MAC operations less than or equal to 4 */ - - /* The first part of the stage starts here */ - j = blockSize3 >> 2u; - - while((j > 0u) && (blockSize3 > 0u)) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = blockSize3 >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied - * with y[srcBLen - 1], y[srcBLen - 2] respectively */ - sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied - * with y[srcBLen - 3], y[srcBLen - 4] respectively */ - sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* For the next MAC operations, the pointer py is used without SIMD - * So, py is incremented by 1 */ - py = py + 1u; - - /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = blockSize3 % 0x4u; - - while(k > 0u) - { - /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ - sum = __SMLALD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pIn2; - - /* Decrement the loop counter */ - blockSize3--; - - j--; - } - - /* The second part of the stage starts here */ - /* SIMD is not used for the next MAC operations, - * so pointer py is updated to read only one sample at a time */ - py = py + 1u; - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = blockSize3; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen-1] * y[srcBLen-1] */ - sum = __SMLALD(*px++, *py--, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the loop counter */ - blockSize3--; - } - -#else - -/* Run the below code for Cortex-M0 */ - - q15_t *pIn1 = pSrcA; /* input pointer */ - q15_t *pIn2 = pSrcB; /* coefficient pointer */ - q63_t sum; /* Accumulator */ - uint32_t i, j; /* loop counter */ - - /* Loop to calculate output of convolution for output length number of times */ - for (i = 0; i < (srcALen + srcBLen - 1); i++) - { - /* Initialize sum with zero to carry on MAC operations */ - sum = 0; - - /* Loop to perform MAC operations according to convolution equation */ - for (j = 0; j <= i; j++) - { - /* Check the array limitations */ - if(((i - j) < srcBLen) && (j < srcALen)) - { - /* z[i] += x[i-j] * y[j] */ - sum += (q31_t) pIn1[j] * (pIn2[i - j]); - } - } - - /* Store the output in the destination buffer */ - pDst[i] = (q15_t) __SSAT((sum >> 15u), 16u); - } - -#endif /* #if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE)*/ - -} - -/** - * @} end of Conv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,565 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_q31.c -* -* Description: Convolution of Q31 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Conv - * @{ - */ - -/** - * @brief Convolution of Q31 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using an internal 64-bit accumulator. - * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. - * There is no saturation on intermediate additions. - * Thus, if the accumulator overflows it wraps around and distorts the result. - * The input signals should be scaled down to avoid intermediate overflows. - * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, - * as maximum of min(srcALen, srcBLen) number of additions are carried internally. - * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. - * - * \par - * See <code>arm_conv_fast_q31()</code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. - */ - -void arm_conv_q31( - q31_t * pSrcA, - uint32_t srcALen, - q31_t * pSrcB, - uint32_t srcBLen, - q31_t * pDst) -{ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t *pIn1; /* inputA pointer */ - q31_t *pIn2; /* inputB pointer */ - q31_t *pOut = pDst; /* output pointer */ - q31_t *px; /* Intermediate inputA pointer */ - q31_t *py; /* Intermediate inputB pointer */ - q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ - q63_t sum; /* Accumulator */ - q63_t acc0, acc1, acc2; /* Accumulator */ - q31_t x0, x1, x2, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3; /* loop counter */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = (q31_t *) pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = (q31_t *) pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* The algorithm is implemented in three stages. - The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = srcALen - (srcBLen - 1u); - blockSize3 = blockSize1; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first stage starts here */ - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] * y[srcBLen - 1] */ - sum += (q63_t) * px++ * (*py--); - /* x[1] * y[srcBLen - 2] */ - sum += (q63_t) * px++ * (*py--); - /* x[2] * y[srcBLen - 3] */ - sum += (q63_t) * px++ * (*py--); - /* x[3] * y[srcBLen - 4] */ - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q31_t) (sum >> 31); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pIn2 + count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll by 3 */ - blkCnt = blockSize2 / 3; - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - - /* read x[0], x[1], x[2] samples */ - x0 = *(px++); - x1 = *(px++); - - /* Apply loop unrolling and compute 3 MACs simultaneously. */ - k = srcBLen / 3; - - /* First part of the processing with loop unrolling. Compute 3 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 2 samples. */ - do - { - /* Read y[srcBLen - 1] sample */ - c0 = *(py); - - /* Read x[3] sample */ - x2 = *(px); - - /* Perform the multiply-accumulates */ - /* acc0 += x[0] * y[srcBLen - 1] */ - acc0 += ((q63_t) x0 * c0); - /* acc1 += x[1] * y[srcBLen - 1] */ - acc1 += ((q63_t) x1 * c0); - /* acc2 += x[2] * y[srcBLen - 1] */ - acc2 += ((q63_t) x2 * c0); - - /* Read y[srcBLen - 2] sample */ - c0 = *(py - 1u); - - /* Read x[4] sample */ - x0 = *(px + 1u); - - /* Perform the multiply-accumulate */ - /* acc0 += x[1] * y[srcBLen - 2] */ - acc0 += ((q63_t) x1 * c0); - /* acc1 += x[2] * y[srcBLen - 2] */ - acc1 += ((q63_t) x2 * c0); - /* acc2 += x[3] * y[srcBLen - 2] */ - acc2 += ((q63_t) x0 * c0); - - /* Read y[srcBLen - 3] sample */ - c0 = *(py - 2u); - - /* Read x[5] sample */ - x1 = *(px + 2u); - - /* Perform the multiply-accumulates */ - /* acc0 += x[2] * y[srcBLen - 3] */ - acc0 += ((q63_t) x2 * c0); - /* acc1 += x[3] * y[srcBLen - 2] */ - acc1 += ((q63_t) x0 * c0); - /* acc2 += x[4] * y[srcBLen - 2] */ - acc2 += ((q63_t) x1 * c0); - - /* update scratch pointers */ - px += 3u; - py -= 3u; - - } while(--k); - - /* If the srcBLen is not a multiple of 3, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen - (3 * (srcBLen / 3)); - - while(k > 0u) - { - /* Read y[srcBLen - 5] sample */ - c0 = *(py--); - - /* Read x[7] sample */ - x2 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[4] * y[srcBLen - 5] */ - acc0 += ((q63_t) x0 * c0); - /* acc1 += x[5] * y[srcBLen - 5] */ - acc1 += ((q63_t) x1 * c0); - /* acc2 += x[6] * y[srcBLen - 5] */ - acc2 += ((q63_t) x2 * c0); - - /* Reuse the present samples for the next MAC */ - x0 = x1; - x1 = x2; - - /* Decrement the loop counter */ - k--; - } - - /* Store the results in the accumulators in the destination buffer. */ - *pOut++ = (q31_t) (acc0 >> 31); - *pOut++ = (q31_t) (acc1 >> 31); - *pOut++ = (q31_t) (acc2 >> 31); - - /* Increment the pointer pIn1 index, count by 3 */ - count += 3u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 - 3 * (blockSize2 / 3); - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += (q63_t) * px++ * (*py--); - sum += (q63_t) * px++ * (*py--); - sum += (q63_t) * px++ * (*py--); - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q31_t) (sum >> 31); - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q31_t) (sum >> 31); - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The blockSize3 variable holds the number of MAC operations performed */ - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = blockSize3 >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ - sum += (q63_t) * px++ * (*py--); - /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ - sum += (q63_t) * px++ * (*py--); - /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ - sum += (q63_t) * px++ * (*py--); - /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = blockSize3 % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += (q63_t) * px++ * (*py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q31_t) (sum >> 31); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the loop counter */ - blockSize3--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - q31_t *pIn1 = pSrcA; /* input pointer */ - q31_t *pIn2 = pSrcB; /* coefficient pointer */ - q63_t sum; /* Accumulator */ - uint32_t i, j; /* loop counter */ - - /* Loop to calculate output of convolution for output length number of times */ - for (i = 0; i < (srcALen + srcBLen - 1); i++) - { - /* Initialize sum with zero to carry on MAC operations */ - sum = 0; - - /* Loop to perform MAC operations according to convolution equation */ - for (j = 0; j <= i; j++) - { - /* Check the array limitations */ - if(((i - j) < srcBLen) && (j < srcALen)) - { - /* z[i] += x[i-j] * y[j] */ - sum += ((q63_t) pIn1[j] * (pIn2[i - j])); - } - } - - /* Store the output in the destination buffer */ - pDst[i] = (q31_t) (sum >> 31u); - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of Conv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_conv_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,690 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_conv_q7.c -* -* Description: Convolution of Q7 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Conv - * @{ - */ - -/** - * @brief Convolution of Q7 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 32-bit internal accumulator. - * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. - * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. - * This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)<131072</code>. - * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format. - * - * \par - * Refer the function <code>arm_conv_opt_q7()</code> for a faster implementation of this function. - * - */ - -void arm_conv_q7( - q7_t * pSrcA, - uint32_t srcALen, - q7_t * pSrcB, - uint32_t srcBLen, - q7_t * pDst) -{ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q7_t *pIn1; /* inputA pointer */ - q7_t *pIn2; /* inputB pointer */ - q7_t *pOut = pDst; /* output pointer */ - q7_t *px; /* Intermediate inputA pointer */ - q7_t *py; /* Intermediate inputB pointer */ - q7_t *pSrc1, *pSrc2; /* Intermediate pointers */ - q7_t x0, x1, x2, x3, c0, c1; /* Temporary variables to hold state and coefficient values */ - q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ - q31_t input1, input2; /* Temporary input variables */ - q15_t in1, in2; /* Temporary input variables */ - uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3; /* loop counter */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - } - - /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ - /* The function is internally - * divided into three stages according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first stage of the - * algorithm, the multiplications increase by one for every iteration. - * In the second stage of the algorithm, srcBLen number of multiplications are done. - * In the third stage of the algorithm, the multiplications decrease by one - * for every iteration. */ - - /* The algorithm is implemented in three stages. - The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = (srcALen - srcBLen) + 1u; - blockSize3 = blockSize1; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[0] - * sum = x[0] * y[1] + x[1] * y[0] - * .... - * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first stage starts here */ - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] , x[1] */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* y[srcBLen - 1] , y[srcBLen - 2] */ - in1 = (q15_t) * py--; - in2 = (q15_t) * py--; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* x[0] * y[srcBLen - 1] */ - /* x[1] * y[srcBLen - 2] */ - sum = __SMLAD(input1, input2, sum); - - /* x[2] , x[3] */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* y[srcBLen - 3] , y[srcBLen - 4] */ - in1 = (q15_t) * py--; - in2 = (q15_t) * py--; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* x[2] * y[srcBLen - 3] */ - /* x[3] * y[srcBLen - 4] */ - sum = __SMLAD(input1, input2, sum); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q15_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8)); - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pIn2 + count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] - * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] - * .... - * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = blockSize2 >> 2u; - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* read x[0], x[1], x[2] samples */ - x0 = *(px++); - x1 = *(px++); - x2 = *(px++); - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read y[srcBLen - 1] sample */ - c0 = *(py--); - /* Read y[srcBLen - 2] sample */ - c1 = *(py--); - - /* Read x[3] sample */ - x3 = *(px++); - - /* x[0] and x[1] are packed */ - in1 = (q15_t) x0; - in2 = (q15_t) x1; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* y[srcBLen - 1] and y[srcBLen - 2] are packed */ - in1 = (q15_t) c0; - in2 = (q15_t) c1; - - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ - acc0 = __SMLAD(input1, input2, acc0); - - /* x[1] and x[2] are packed */ - in1 = (q15_t) x1; - in2 = (q15_t) x2; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ - acc1 = __SMLAD(input1, input2, acc1); - - /* x[2] and x[3] are packed */ - in1 = (q15_t) x2; - in2 = (q15_t) x3; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ - acc2 = __SMLAD(input1, input2, acc2); - - /* Read x[4] sample */ - x0 = *(px++); - - /* x[3] and x[4] are packed */ - in1 = (q15_t) x3; - in2 = (q15_t) x0; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ - acc3 = __SMLAD(input1, input2, acc3); - - /* Read y[srcBLen - 3] sample */ - c0 = *(py--); - /* Read y[srcBLen - 4] sample */ - c1 = *(py--); - - /* Read x[5] sample */ - x1 = *(px++); - - /* x[2] and x[3] are packed */ - in1 = (q15_t) x2; - in2 = (q15_t) x3; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* y[srcBLen - 3] and y[srcBLen - 4] are packed */ - in1 = (q15_t) c0; - in2 = (q15_t) c1; - - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ - acc0 = __SMLAD(input1, input2, acc0); - - /* x[3] and x[4] are packed */ - in1 = (q15_t) x3; - in2 = (q15_t) x0; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ - acc1 = __SMLAD(input1, input2, acc1); - - /* x[4] and x[5] are packed */ - in1 = (q15_t) x0; - in2 = (q15_t) x1; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ - acc2 = __SMLAD(input1, input2, acc2); - - /* Read x[6] sample */ - x2 = *(px++); - - /* x[5] and x[6] are packed */ - in1 = (q15_t) x1; - in2 = (q15_t) x2; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ - acc3 = __SMLAD(input1, input2, acc3); - - } while(--k); - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Read y[srcBLen - 5] sample */ - c0 = *(py--); - - /* Read x[7] sample */ - x3 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[4] * y[srcBLen - 5] */ - acc0 += ((q15_t) x0 * c0); - /* acc1 += x[5] * y[srcBLen - 5] */ - acc1 += ((q15_t) x1 * c0); - /* acc2 += x[6] * y[srcBLen - 5] */ - acc2 += ((q15_t) x2 * c0); - /* acc3 += x[7] * y[srcBLen - 5] */ - acc3 += ((q15_t) x3 * c0); - - /* Reuse the present samples for the next MAC */ - x0 = x1; - x1 = x2; - x2 = x3; - - /* Decrement the loop counter */ - k--; - } - - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q7_t) (__SSAT(acc0 >> 7u, 8)); - *pOut++ = (q7_t) (__SSAT(acc1 >> 7u, 8)); - *pOut++ = (q7_t) (__SSAT(acc2 >> 7u, 8)); - *pOut++ = (q7_t) (__SSAT(acc3 >> 7u, 8)); - - /* Increment the pointer pIn1 index, count by 4 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - - /* Reading two inputs of SrcA buffer and packing */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* Reading two inputs of SrcB buffer and packing */ - in1 = (q15_t) * py--; - in2 = (q15_t) * py--; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* Perform the multiply-accumulates */ - sum = __SMLAD(input1, input2, sum); - - /* Reading two inputs of SrcA buffer and packing */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* Reading two inputs of SrcB buffer and packing */ - in1 = (q15_t) * py--; - in2 = (q15_t) * py--; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* Perform the multiply-accumulates */ - sum = __SMLAD(input1, input2, sum); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q15_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8)); - - /* Increment the pointer pIn1 index, count by 1 */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* srcBLen number of MACS should be performed */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += ((q15_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8)); - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pSrc2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] - * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] - * .... - * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] - * sum += x[srcALen-1] * y[srcBLen-1] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The blockSize3 variable holds the number of MAC operations performed */ - - /* Working pointer of inputA */ - pSrc1 = pIn1 + (srcALen - (srcBLen - 1u)); - px = pSrc1; - - /* Working pointer of inputB */ - pSrc2 = pIn2 + (srcBLen - 1u); - py = pSrc2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = blockSize3 >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */ - in1 = (q15_t) * py--; - in2 = (q15_t) * py--; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ - /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ - sum = __SMLAD(input1, input2, sum); - - /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */ - in1 = (q15_t) * py--; - in2 = (q15_t) * py--; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16u); - - /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ - /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ - sum = __SMLAD(input1, input2, sum); - - /* Decrement the loop counter */ - k--; - } - - /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = blockSize3 % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q15_t) * px++ * *py--); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut++ = (q7_t) (__SSAT(sum >> 7u, 8)); - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pSrc2; - - /* Decrement the loop counter */ - blockSize3--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - q7_t *pIn1 = pSrcA; /* input pointer */ - q7_t *pIn2 = pSrcB; /* coefficient pointer */ - q31_t sum; /* Accumulator */ - uint32_t i, j; /* loop counter */ - - /* Loop to calculate output of convolution for output length number of times */ - for (i = 0; i < (srcALen + srcBLen - 1); i++) - { - /* Initialize sum with zero to carry on MAC operations */ - sum = 0; - - /* Loop to perform MAC operations according to convolution equation */ - for (j = 0; j <= i; j++) - { - /* Check the array limitations */ - if(((i - j) < srcBLen) && (j < srcALen)) - { - /* z[i] += x[i-j] * y[j] */ - sum += (q15_t) pIn1[j] * (pIn2[i - j]); - } - } - - /* Store the output in the destination buffer */ - pDst[i] = (q7_t) __SSAT((sum >> 7u), 8u); - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of Conv group - */
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,739 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_correlate_f32.c -* -* Description: Correlation of floating-point sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @defgroup Corr Correlation - * - * Correlation is a mathematical operation that is similar to convolution. - * As with convolution, correlation uses two signals to produce a third signal. - * The underlying algorithms in correlation and convolution are identical except that one of the inputs is flipped in convolution. - * Correlation is commonly used to measure the similarity between two signals. - * It has applications in pattern recognition, cryptanalysis, and searching. - * The CMSIS library provides correlation functions for Q7, Q15, Q31 and floating-point data types. - * Fast versions of the Q15 and Q31 functions are also provided. - * - * \par Algorithm - * Let <code>a[n]</code> and <code>b[n]</code> be sequences of length <code>srcALen</code> and <code>srcBLen</code> samples respectively. - * The convolution of the two signals is denoted by - * <pre> - * c[n] = a[n] * b[n] - * </pre> - * In correlation, one of the signals is flipped in time - * <pre> - * c[n] = a[n] * b[-n] - * </pre> - * - * \par - * and this is mathematically defined as - * \image html CorrelateEquation.gif - * \par - * The <code>pSrcA</code> points to the first input vector of length <code>srcALen</code> and <code>pSrcB</code> points to the second input vector of length <code>srcBLen</code>. - * The result <code>c[n]</code> is of length <code>2 * max(srcALen, srcBLen) - 1</code> and is defined over the interval <code>n=0, 1, 2, ..., (2 * max(srcALen, srcBLen) - 2)</code>. - * The output result is written to <code>pDst</code> and the calling function must allocate <code>2 * max(srcALen, srcBLen) - 1</code> words for the result. - * - * <b>Note</b> - * \par - * The <code>pDst</code> should be initialized to all zeros before being used. - * - * <b>Fixed-Point Behavior</b> - * \par - * Correlation requires summing up a large number of intermediate products. - * As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation. - * Refer to the function specific documentation below for further details of the particular algorithm used. - * - * - * <b>Fast Versions</b> - * - * \par - * Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of correlate and the design requires - * the input signals should be scaled down to avoid intermediate overflows. - * - * - * <b>Opt Versions</b> - * - * \par - * Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. - * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions of correlate - */ - -/** - * @addtogroup Corr - * @{ - */ -/** - * @brief Correlation of floating-point sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. - * @return none. - */ - -void arm_correlate_f32( - float32_t * pSrcA, - uint32_t srcALen, - float32_t * pSrcB, - uint32_t srcBLen, - float32_t * pDst) -{ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - float32_t *pIn1; /* inputA pointer */ - float32_t *pIn2; /* inputB pointer */ - float32_t *pOut = pDst; /* output pointer */ - float32_t *px; /* Intermediate inputA pointer */ - float32_t *py; /* Intermediate inputB pointer */ - float32_t *pSrc1; /* Intermediate pointers */ - float32_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ - float32_t x0, x1, x2, x3, c0; /* temporary variables for holding input and coefficient values */ - uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counters */ - int32_t inc = 1; /* Destination address modifier */ - - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - /* But CORR(x, y) is reverse of CORR(y, x) */ - /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ - /* and the destination pointer modifier, inc is set to -1 */ - /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ - /* But to improve the performance, - * we include zeroes in the output instead of zero padding either of the the inputs*/ - /* If srcALen > srcBLen, - * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ - /* If srcALen < srcBLen, - * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = pSrcA; - - /* Initialization of inputB pointer */ - pIn2 = pSrcB; - - /* Number of output samples is calculated */ - outBlockSize = (2u * srcALen) - 1u; - - /* When srcALen > srcBLen, zero padding has to be done to srcB - * to make their lengths equal. - * Instead, (outBlockSize - (srcALen + srcBLen - 1)) - * number of output samples are made zero */ - j = outBlockSize - (srcALen + (srcBLen - 1u)); - - /* Updating the pointer position to non zero value */ - pOut += j; - - //while(j > 0u) - //{ - // /* Zero is stored in the destination buffer */ - // *pOut++ = 0.0f; - - // /* Decrement the loop counter */ - // j--; - //} - - } - else - { - /* Initialization of inputA pointer */ - pIn1 = pSrcB; - - /* Initialization of inputB pointer */ - pIn2 = pSrcA; - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - - /* CORR(x, y) = Reverse order(CORR(y, x)) */ - /* Hence set the destination pointer to point to the last output sample */ - pOut = pDst + ((srcALen + srcBLen) - 2u); - - /* Destination address modifier is set to -1 */ - inc = -1; - - } - - /* The function is internally - * divided into three parts according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first part of the - * algorithm, the multiplications increase by one for every iteration. - * In the second part of the algorithm, srcBLen number of multiplications are done. - * In the third part of the algorithm, the multiplications decrease by one - * for every iteration.*/ - /* The algorithm is implemented in three stages. - * The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = srcALen - (srcBLen - 1u); - blockSize3 = blockSize1; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[srcBlen - 1] - * sum = x[0] * y[srcBlen-2] + x[1] * y[srcBlen - 1] - * .... - * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc1 = pIn2 + (srcBLen - 1u); - py = pSrc1; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first stage starts here */ - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0.0f; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] * y[srcBLen - 4] */ - sum += *px++ * *py++; - /* x[1] * y[srcBLen - 3] */ - sum += *px++ * *py++; - /* x[2] * y[srcBLen - 2] */ - sum += *px++ * *py++; - /* x[3] * y[srcBLen - 1] */ - sum += *px++ * *py++; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - /* x[0] * y[srcBLen - 1] */ - sum += *px++ * *py++; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = sum; - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pSrc1 - count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] - * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] - * .... - * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = blockSize2 >> 2u; - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0.0f; - acc1 = 0.0f; - acc2 = 0.0f; - acc3 = 0.0f; - - /* read x[0], x[1], x[2] samples */ - x0 = *(px++); - x1 = *(px++); - x2 = *(px++); - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read y[0] sample */ - c0 = *(py++); - - /* Read x[3] sample */ - x3 = *(px++); - - /* Perform the multiply-accumulate */ - /* acc0 += x[0] * y[0] */ - acc0 += x0 * c0; - /* acc1 += x[1] * y[0] */ - acc1 += x1 * c0; - /* acc2 += x[2] * y[0] */ - acc2 += x2 * c0; - /* acc3 += x[3] * y[0] */ - acc3 += x3 * c0; - - /* Read y[1] sample */ - c0 = *(py++); - - /* Read x[4] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - /* acc0 += x[1] * y[1] */ - acc0 += x1 * c0; - /* acc1 += x[2] * y[1] */ - acc1 += x2 * c0; - /* acc2 += x[3] * y[1] */ - acc2 += x3 * c0; - /* acc3 += x[4] * y[1] */ - acc3 += x0 * c0; - - /* Read y[2] sample */ - c0 = *(py++); - - /* Read x[5] sample */ - x1 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[2] * y[2] */ - acc0 += x2 * c0; - /* acc1 += x[3] * y[2] */ - acc1 += x3 * c0; - /* acc2 += x[4] * y[2] */ - acc2 += x0 * c0; - /* acc3 += x[5] * y[2] */ - acc3 += x1 * c0; - - /* Read y[3] sample */ - c0 = *(py++); - - /* Read x[6] sample */ - x2 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[3] * y[3] */ - acc0 += x3 * c0; - /* acc1 += x[4] * y[3] */ - acc1 += x0 * c0; - /* acc2 += x[5] * y[3] */ - acc2 += x1 * c0; - /* acc3 += x[6] * y[3] */ - acc3 += x2 * c0; - - - } while(--k); - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Read y[4] sample */ - c0 = *(py++); - - /* Read x[7] sample */ - x3 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[4] * y[4] */ - acc0 += x0 * c0; - /* acc1 += x[5] * y[4] */ - acc1 += x1 * c0; - /* acc2 += x[6] * y[4] */ - acc2 += x2 * c0; - /* acc3 += x[7] * y[4] */ - acc3 += x3 * c0; - - /* Reuse the present samples for the next MAC */ - x0 = x1; - x1 = x2; - x2 = x3; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = acc0; - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - *pOut = acc1; - pOut += inc; - - *pOut = acc2; - pOut += inc; - - *pOut = acc3; - pOut += inc; - - /* Increment the pointer pIn1 index, count by 4 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0.0f; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += *px++ * *py++; - sum += *px++ * *py++; - sum += *px++ * *py++; - sum += *px++ * *py++; - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += *px++ * *py++; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = sum; - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment the pointer pIn1 index, count by 1 */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0.0f; - - /* Loop over srcBLen */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += *px++ * *py++; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = sum; - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment the pointer pIn1 index, count by 1 */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * .... - * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] - * sum += x[srcALen-1] * y[0] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = pIn1 + (srcALen - (srcBLen - 1u)); - px = pSrc1; - - /* Working pointer of inputB */ - py = pIn2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0.0f; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen - srcBLen + 4] * y[3] */ - sum += *px++ * *py++; - /* sum += x[srcALen - srcBLen + 3] * y[2] */ - sum += *px++ * *py++; - /* sum += x[srcALen - srcBLen + 2] * y[1] */ - sum += *px++ * *py++; - /* sum += x[srcALen - srcBLen + 1] * y[0] */ - sum += *px++ * *py++; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += *px++ * *py++; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = sum; - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pIn2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - float32_t *pIn1 = pSrcA; /* inputA pointer */ - float32_t *pIn2 = pSrcB + (srcBLen - 1u); /* inputB pointer */ - float32_t sum; /* Accumulator */ - uint32_t i = 0u, j; /* loop counters */ - uint32_t inv = 0u; /* Reverse order flag */ - uint32_t tot = 0u; /* Length */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - /* But CORR(x, y) is reverse of CORR(y, x) */ - /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ - /* and a varaible, inv is set to 1 */ - /* If lengths are not equal then zero pad has to be done to make the two - * inputs of same length. But to improve the performance, we include zeroes - * in the output instead of zero padding either of the the inputs*/ - /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the - * starting of the output buffer */ - /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the - * ending of the output buffer */ - /* Once the zero padding is done the remaining of the output is calcualted - * using convolution but with the shorter signal time shifted. */ - - /* Calculate the length of the remaining sequence */ - tot = ((srcALen + srcBLen) - 2u); - - if(srcALen > srcBLen) - { - /* Calculating the number of zeros to be padded to the output */ - j = srcALen - srcBLen; - - /* Initialise the pointer after zero padding */ - pDst += j; - } - - else if(srcALen < srcBLen) - { - /* Initialization to inputB pointer */ - pIn1 = pSrcB; - - /* Initialization to the end of inputA pointer */ - pIn2 = pSrcA + (srcALen - 1u); - - /* Initialisation of the pointer after zero padding */ - pDst = pDst + tot; - - /* Swapping the lengths */ - j = srcALen; - srcALen = srcBLen; - srcBLen = j; - - /* Setting the reverse flag */ - inv = 1; - - } - - /* Loop to calculate convolution for output length number of times */ - for (i = 0u; i <= tot; i++) - { - /* Initialize sum with zero to carry on MAC operations */ - sum = 0.0f; - - /* Loop to perform MAC operations according to convolution equation */ - for (j = 0u; j <= i; j++) - { - /* Check the array limitations */ - if((((i - j) < srcBLen) && (j < srcALen))) - { - /* z[i] += x[i-j] * y[j] */ - sum += pIn1[j] * pIn2[-((int32_t) i - j)]; - } - } - /* Store the output in the destination buffer */ - if(inv == 1) - *pDst-- = sum; - else - *pDst++ = sum; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of Corr group - */
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_fast_opt_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,512 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_correlate_fast_opt_q15.c -* -* Description: Fast Q15 Correlation. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Corr - * @{ - */ - -/** - * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. - * @param[in] *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @return none. - * - * - * \par Restrictions - * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE - * In this case input, output, scratch buffers should be aligned by 32-bit - * - * - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * This fast version uses a 32-bit accumulator with 2.30 format. - * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. - * There is no saturation on intermediate additions. - * Thus, if the accumulator overflows it wraps around and distorts the result. - * The input signals should be scaled down to avoid intermediate overflows. - * Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a - * maximum of min(srcALen, srcBLen) number of additions is carried internally. - * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. - * - * \par - * See <code>arm_correlate_q15()</code> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. - */ - -void arm_correlate_fast_opt_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - q15_t * pScratch) -{ - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q31_t acc0, acc1, acc2, acc3; /* Accumulators */ - q15_t *py; /* Intermediate inputB pointer */ - q31_t x1, x2, x3; /* temporary variables for holding input and coefficient values */ - uint32_t j, blkCnt, outBlockSize; /* loop counter */ - int32_t inc = 1; /* Destination address modifier */ - uint32_t tapCnt; - q31_t y1, y2; - q15_t *pScr; /* Intermediate pointers */ - q15_t *pOut = pDst; /* output pointer */ -#ifdef UNALIGNED_SUPPORT_DISABLE - - q15_t a, b; - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - /* But CORR(x, y) is reverse of CORR(y, x) */ - /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ - /* and the destination pointer modifier, inc is set to -1 */ - /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ - /* But to improve the performance, - * we include zeroes in the output instead of zero padding either of the the inputs*/ - /* If srcALen > srcBLen, - * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ - /* If srcALen < srcBLen, - * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcA); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcB); - - /* Number of output samples is calculated */ - outBlockSize = (2u * srcALen) - 1u; - - /* When srcALen > srcBLen, zero padding is done to srcB - * to make their lengths equal. - * Instead, (outBlockSize - (srcALen + srcBLen - 1)) - * number of output samples are made zero */ - j = outBlockSize - (srcALen + (srcBLen - 1u)); - - /* Updating the pointer position to non zero value */ - pOut += j; - - } - else - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcB); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcA); - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - - /* CORR(x, y) = Reverse order(CORR(y, x)) */ - /* Hence set the destination pointer to point to the last output sample */ - pOut = pDst + ((srcALen + srcBLen) - 2u); - - /* Destination address modifier is set to -1 */ - inc = -1; - - } - - pScr = pScratch; - - /* Fill (srcBLen - 1u) zeros in scratch buffer */ - arm_fill_q15(0, pScr, (srcBLen - 1u)); - - /* Update temporary scratch pointer */ - pScr += (srcBLen - 1u); - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Copy (srcALen) samples in scratch buffer */ - arm_copy_q15(pIn1, pScr, srcALen); - - /* Update pointers */ - pScr += srcALen; - -#else - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - j = srcALen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(j > 0u) - { - /* copy second buffer in reversal manner */ - *pScr++ = *pIn1++; - *pScr++ = *pIn1++; - *pScr++ = *pIn1++; - *pScr++ = *pIn1++; - - /* Decrement the loop counter */ - j--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - j = srcALen % 0x4u; - - while(j > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr++ = *pIn1++; - - /* Decrement the loop counter */ - j--; - } - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Fill (srcBLen - 1u) zeros at end of scratch buffer */ - arm_fill_q15(0, pScr, (srcBLen - 1u)); - - /* Update pointer */ - pScr += (srcBLen - 1u); - -#else - -/* Apply loop unrolling and do 4 Copies simultaneously. */ - j = (srcBLen - 1u) >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(j > 0u) - { - /* copy second buffer in reversal manner */ - *pScr++ = 0; - *pScr++ = 0; - *pScr++ = 0; - *pScr++ = 0; - - /* Decrement the loop counter */ - j--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - j = (srcBLen - 1u) % 0x4u; - - while(j > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr++ = 0; - - /* Decrement the loop counter */ - j--; - } - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* Temporary pointer for scratch2 */ - py = pIn2; - - - /* Actual correlation process starts here */ - blkCnt = (srcALen + srcBLen - 1u) >> 2; - - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr = pScratch; - - /* Clear Accumlators */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Read four samples from scratch1 buffer */ - x1 = *__SIMD32(pScr)++; - - /* Read next four samples from scratch1 buffer */ - x2 = *__SIMD32(pScr)++; - - tapCnt = (srcBLen) >> 2u; - - while(tapCnt > 0u) - { - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Read four samples from smaller buffer */ - y1 = _SIMD32_OFFSET(pIn2); - y2 = _SIMD32_OFFSET(pIn2 + 2u); - - acc0 = __SMLAD(x1, y1, acc0); - - acc2 = __SMLAD(x2, y1, acc2); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc1 = __SMLADX(x3, y1, acc1); - - x1 = _SIMD32_OFFSET(pScr); - - acc0 = __SMLAD(x2, y2, acc0); - - acc2 = __SMLAD(x1, y2, acc2); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x1, x2, 0); -#else - x3 = __PKHBT(x2, x1, 0); -#endif - - acc3 = __SMLADX(x3, y1, acc3); - - acc1 = __SMLADX(x3, y2, acc1); - - x2 = _SIMD32_OFFSET(pScr + 2u); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc3 = __SMLADX(x3, y2, acc3); -#else - - /* Read four samples from smaller buffer */ - a = *pIn2; - b = *(pIn2 + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - y1 = __PKHBT(a, b, 16); -#else - y1 = __PKHBT(b, a, 16); -#endif - - a = *(pIn2 + 2); - b = *(pIn2 + 3); -#ifndef ARM_MATH_BIG_ENDIAN - y2 = __PKHBT(a, b, 16); -#else - y2 = __PKHBT(b, a, 16); -#endif - - acc0 = __SMLAD(x1, y1, acc0); - - acc2 = __SMLAD(x2, y1, acc2); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc1 = __SMLADX(x3, y1, acc1); - - a = *pScr; - b = *(pScr + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(a, b, 16); -#else - x1 = __PKHBT(b, a, 16); -#endif - - acc0 = __SMLAD(x2, y2, acc0); - - acc2 = __SMLAD(x1, y2, acc2); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x1, x2, 0); -#else - x3 = __PKHBT(x2, x1, 0); -#endif - - acc3 = __SMLADX(x3, y1, acc3); - - acc1 = __SMLADX(x3, y2, acc1); - - a = *(pScr + 2); - b = *(pScr + 3); - -#ifndef ARM_MATH_BIG_ENDIAN - x2 = __PKHBT(a, b, 16); -#else - x2 = __PKHBT(b, a, 16); -#endif - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc3 = __SMLADX(x3, y2, acc3); - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - pIn2 += 4u; - - pScr += 4u; - - - /* Decrement the loop counter */ - tapCnt--; - } - - - - /* Update scratch pointer for remaining samples of smaller length sequence */ - pScr -= 4u; - - - /* apply same above for remaining samples of smaller length sequence */ - tapCnt = (srcBLen) & 3u; - - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr++ * *pIn2); - acc1 += (*pScr++ * *pIn2); - acc2 += (*pScr++ * *pIn2); - acc3 += (*pScr++ * *pIn2++); - - pScr -= 3u; - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - - /* Store the results in the accumulators in the destination buffer. */ - *pOut = (__SSAT(acc0 >> 15u, 16)); - pOut += inc; - *pOut = (__SSAT(acc1 >> 15u, 16)); - pOut += inc; - *pOut = (__SSAT(acc2 >> 15u, 16)); - pOut += inc; - *pOut = (__SSAT(acc3 >> 15u, 16)); - pOut += inc; - - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch += 4u; - - } - - - blkCnt = (srcALen + srcBLen - 1u) & 0x3; - - /* Calculate correlation for remaining samples of Bigger length sequence */ - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr = pScratch; - - /* Clear Accumlators */ - acc0 = 0; - - tapCnt = (srcBLen) >> 1u; - - while(tapCnt > 0u) - { - - acc0 += (*pScr++ * *pIn2++); - acc0 += (*pScr++ * *pIn2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (srcBLen) & 1u; - - /* apply same above for remaining samples of smaller length sequence */ - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr++ * *pIn2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* Store the result in the accumulator in the destination buffer. */ - - *pOut = (q15_t) (__SSAT((acc0 >> 15), 16)); - - pOut += inc; - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch += 1u; - - } -} - -/** - * @} end of Corr group - */
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_fast_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,1319 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_correlate_fast_q15.c -* -* Description: Fast Q15 Correlation. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Corr - * @{ - */ - -/** - * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * This fast version uses a 32-bit accumulator with 2.30 format. - * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. - * There is no saturation on intermediate additions. - * Thus, if the accumulator overflows it wraps around and distorts the result. - * The input signals should be scaled down to avoid intermediate overflows. - * Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a - * maximum of min(srcALen, srcBLen) number of additions is carried internally. - * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. - * - * \par - * See <code>arm_correlate_q15()</code> for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. - */ - -void arm_correlate_fast_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst) -{ -#ifndef UNALIGNED_SUPPORT_DISABLE - - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *pOut = pDst; /* output pointer */ - q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - q15_t *pSrc1; /* Intermediate pointers */ - q31_t x0, x1, x2, x3, c0; /* temporary variables for holding input and coefficient values */ - uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counter */ - int32_t inc = 1; /* Destination address modifier */ - - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - /* But CORR(x, y) is reverse of CORR(y, x) */ - /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ - /* and the destination pointer modifier, inc is set to -1 */ - /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ - /* But to improve the performance, - * we include zeroes in the output instead of zero padding either of the the inputs*/ - /* If srcALen > srcBLen, - * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ - /* If srcALen < srcBLen, - * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcA); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcB); - - /* Number of output samples is calculated */ - outBlockSize = (2u * srcALen) - 1u; - - /* When srcALen > srcBLen, zero padding is done to srcB - * to make their lengths equal. - * Instead, (outBlockSize - (srcALen + srcBLen - 1)) - * number of output samples are made zero */ - j = outBlockSize - (srcALen + (srcBLen - 1u)); - - /* Updating the pointer position to non zero value */ - pOut += j; - - } - else - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcB); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcA); - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - - /* CORR(x, y) = Reverse order(CORR(y, x)) */ - /* Hence set the destination pointer to point to the last output sample */ - pOut = pDst + ((srcALen + srcBLen) - 2u); - - /* Destination address modifier is set to -1 */ - inc = -1; - - } - - /* The function is internally - * divided into three parts according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first part of the - * algorithm, the multiplications increase by one for every iteration. - * In the second part of the algorithm, srcBLen number of multiplications are done. - * In the third part of the algorithm, the multiplications decrease by one - * for every iteration.*/ - /* The algorithm is implemented in three stages. - * The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = srcALen - (srcBLen - 1u); - blockSize3 = blockSize1; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[srcBlen - 1] - * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] - * .... - * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc1 = pIn2 + (srcBLen - 1u); - py = pSrc1; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first loop starts here */ - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */ - sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum); - /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */ - sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* x[0] * y[srcBLen - 1] */ - sum = __SMLAD(*px++, *py++, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (sum >> 15); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pSrc1 - count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] - * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] - * .... - * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = blockSize2 >> 2u; - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* read x[0], x[1] samples */ - x0 = *__SIMD32(px); - /* read x[1], x[2] samples */ - x1 = _SIMD32_OFFSET(px + 1); - px += 2u; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read the first two inputB samples using SIMD: - * y[0] and y[1] */ - c0 = *__SIMD32(py)++; - - /* acc0 += x[0] * y[0] + x[1] * y[1] */ - acc0 = __SMLAD(x0, c0, acc0); - - /* acc1 += x[1] * y[0] + x[2] * y[1] */ - acc1 = __SMLAD(x1, c0, acc1); - - /* Read x[2], x[3] */ - x2 = *__SIMD32(px); - - /* Read x[3], x[4] */ - x3 = _SIMD32_OFFSET(px + 1); - - /* acc2 += x[2] * y[0] + x[3] * y[1] */ - acc2 = __SMLAD(x2, c0, acc2); - - /* acc3 += x[3] * y[0] + x[4] * y[1] */ - acc3 = __SMLAD(x3, c0, acc3); - - /* Read y[2] and y[3] */ - c0 = *__SIMD32(py)++; - - /* acc0 += x[2] * y[2] + x[3] * y[3] */ - acc0 = __SMLAD(x2, c0, acc0); - - /* acc1 += x[3] * y[2] + x[4] * y[3] */ - acc1 = __SMLAD(x3, c0, acc1); - - /* Read x[4], x[5] */ - x0 = _SIMD32_OFFSET(px + 2); - - /* Read x[5], x[6] */ - x1 = _SIMD32_OFFSET(px + 3); - px += 4u; - - /* acc2 += x[4] * y[2] + x[5] * y[3] */ - acc2 = __SMLAD(x0, c0, acc2); - - /* acc3 += x[5] * y[2] + x[6] * y[3] */ - acc3 = __SMLAD(x1, c0, acc3); - - } while(--k); - - /* For the next MAC operations, SIMD is not used - * So, the 16 bit pointer if inputB, py is updated */ - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - if(k == 1u) - { - /* Read y[4] */ - c0 = *py; -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; - -#else - - c0 = c0 & 0x0000FFFF; - -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[7] */ - x3 = *__SIMD32(px); - px++; - - /* Perform the multiply-accumulates */ - acc0 = __SMLAD(x0, c0, acc0); - acc1 = __SMLAD(x1, c0, acc1); - acc2 = __SMLADX(x1, c0, acc2); - acc3 = __SMLADX(x3, c0, acc3); - } - - if(k == 2u) - { - /* Read y[4], y[5] */ - c0 = *__SIMD32(py); - - /* Read x[7], x[8] */ - x3 = *__SIMD32(px); - - /* Read x[9] */ - x2 = _SIMD32_OFFSET(px + 1); - px += 2u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLAD(x0, c0, acc0); - acc1 = __SMLAD(x1, c0, acc1); - acc2 = __SMLAD(x3, c0, acc2); - acc3 = __SMLAD(x2, c0, acc3); - } - - if(k == 3u) - { - /* Read y[4], y[5] */ - c0 = *__SIMD32(py)++; - - /* Read x[7], x[8] */ - x3 = *__SIMD32(px); - - /* Read x[9] */ - x2 = _SIMD32_OFFSET(px + 1); - - /* Perform the multiply-accumulates */ - acc0 = __SMLAD(x0, c0, acc0); - acc1 = __SMLAD(x1, c0, acc1); - acc2 = __SMLAD(x3, c0, acc2); - acc3 = __SMLAD(x2, c0, acc3); - - c0 = (*py); - /* Read y[6] */ -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; -#else - - c0 = c0 & 0x0000FFFF; -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[10] */ - x3 = _SIMD32_OFFSET(px + 2); - px += 3u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x1, c0, acc0); - acc1 = __SMLAD(x2, c0, acc1); - acc2 = __SMLADX(x2, c0, acc2); - acc3 = __SMLADX(x3, c0, acc3); - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (acc0 >> 15); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - *pOut = (q15_t) (acc1 >> 15); - pOut += inc; - - *pOut = (q15_t) (acc2 >> 15); - pOut += inc; - - *pOut = (q15_t) (acc3 >> 15); - pOut += inc; - - /* Increment the pointer pIn1 index, count by 1 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py++); - sum += ((q31_t) * px++ * *py++); - sum += ((q31_t) * px++ * *py++); - sum += ((q31_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (sum >> 15); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment the pointer pIn1 index, count by 1 */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Loop over srcBLen */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += ((q31_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (sum >> 15); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * .... - * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] - * sum += x[srcALen-1] * y[0] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - py = pIn2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */ - sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum); - /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */ - sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = __SMLAD(*px++, *py++, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (sum >> 15); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pIn2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - } - -#else - - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *pOut = pDst; /* output pointer */ - q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - q15_t *pSrc1; /* Intermediate pointers */ - q31_t x0, x1, x2, x3, c0; /* temporary variables for holding input and coefficient values */ - uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counter */ - int32_t inc = 1; /* Destination address modifier */ - q15_t a, b; - - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - /* But CORR(x, y) is reverse of CORR(y, x) */ - /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ - /* and the destination pointer modifier, inc is set to -1 */ - /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ - /* But to improve the performance, - * we include zeroes in the output instead of zero padding either of the the inputs*/ - /* If srcALen > srcBLen, - * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ - /* If srcALen < srcBLen, - * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcA); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcB); - - /* Number of output samples is calculated */ - outBlockSize = (2u * srcALen) - 1u; - - /* When srcALen > srcBLen, zero padding is done to srcB - * to make their lengths equal. - * Instead, (outBlockSize - (srcALen + srcBLen - 1)) - * number of output samples are made zero */ - j = outBlockSize - (srcALen + (srcBLen - 1u)); - - /* Updating the pointer position to non zero value */ - pOut += j; - - } - else - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcB); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcA); - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - - /* CORR(x, y) = Reverse order(CORR(y, x)) */ - /* Hence set the destination pointer to point to the last output sample */ - pOut = pDst + ((srcALen + srcBLen) - 2u); - - /* Destination address modifier is set to -1 */ - inc = -1; - - } - - /* The function is internally - * divided into three parts according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first part of the - * algorithm, the multiplications increase by one for every iteration. - * In the second part of the algorithm, srcBLen number of multiplications are done. - * In the third part of the algorithm, the multiplications decrease by one - * for every iteration.*/ - /* The algorithm is implemented in three stages. - * The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = srcALen - (srcBLen - 1u); - blockSize3 = blockSize1; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[srcBlen - 1] - * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] - * .... - * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc1 = pIn2 + (srcBLen - 1u); - py = pSrc1; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first loop starts here */ - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */ - sum += ((q31_t) * px++ * *py++); - sum += ((q31_t) * px++ * *py++); - sum += ((q31_t) * px++ * *py++); - sum += ((q31_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* x[0] * y[srcBLen - 1] */ - sum += ((q31_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (sum >> 15); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pSrc1 - count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] - * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] - * .... - * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = blockSize2 >> 2u; - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* read x[0], x[1], x[2] samples */ - a = *px; - b = *(px + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - - x0 = __PKHBT(a, b, 16); - a = *(px + 2); - x1 = __PKHBT(b, a, 16); - -#else - - x0 = __PKHBT(b, a, 16); - a = *(px + 2); - x1 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - px += 2u; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read the first two inputB samples using SIMD: - * y[0] and y[1] */ - a = *py; - b = *(py + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - - c0 = __PKHBT(a, b, 16); - -#else - - c0 = __PKHBT(b, a, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* acc0 += x[0] * y[0] + x[1] * y[1] */ - acc0 = __SMLAD(x0, c0, acc0); - - /* acc1 += x[1] * y[0] + x[2] * y[1] */ - acc1 = __SMLAD(x1, c0, acc1); - - /* Read x[2], x[3], x[4] */ - a = *px; - b = *(px + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - - x2 = __PKHBT(a, b, 16); - a = *(px + 2); - x3 = __PKHBT(b, a, 16); - -#else - - x2 = __PKHBT(b, a, 16); - a = *(px + 2); - x3 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* acc2 += x[2] * y[0] + x[3] * y[1] */ - acc2 = __SMLAD(x2, c0, acc2); - - /* acc3 += x[3] * y[0] + x[4] * y[1] */ - acc3 = __SMLAD(x3, c0, acc3); - - /* Read y[2] and y[3] */ - a = *(py + 2); - b = *(py + 3); - - py += 4u; - -#ifndef ARM_MATH_BIG_ENDIAN - - c0 = __PKHBT(a, b, 16); - -#else - - c0 = __PKHBT(b, a, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* acc0 += x[2] * y[2] + x[3] * y[3] */ - acc0 = __SMLAD(x2, c0, acc0); - - /* acc1 += x[3] * y[2] + x[4] * y[3] */ - acc1 = __SMLAD(x3, c0, acc1); - - /* Read x[4], x[5], x[6] */ - a = *(px + 2); - b = *(px + 3); - -#ifndef ARM_MATH_BIG_ENDIAN - - x0 = __PKHBT(a, b, 16); - a = *(px + 4); - x1 = __PKHBT(b, a, 16); - -#else - - x0 = __PKHBT(b, a, 16); - a = *(px + 4); - x1 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - px += 4u; - - /* acc2 += x[4] * y[2] + x[5] * y[3] */ - acc2 = __SMLAD(x0, c0, acc2); - - /* acc3 += x[5] * y[2] + x[6] * y[3] */ - acc3 = __SMLAD(x1, c0, acc3); - - } while(--k); - - /* For the next MAC operations, SIMD is not used - * So, the 16 bit pointer if inputB, py is updated */ - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - if(k == 1u) - { - /* Read y[4] */ - c0 = *py; -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; - -#else - - c0 = c0 & 0x0000FFFF; - -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[7] */ - a = *px; - b = *(px + 1); - - px++;; - -#ifndef ARM_MATH_BIG_ENDIAN - - x3 = __PKHBT(a, b, 16); - -#else - - x3 = __PKHBT(b, a, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - px++; - - /* Perform the multiply-accumulates */ - acc0 = __SMLAD(x0, c0, acc0); - acc1 = __SMLAD(x1, c0, acc1); - acc2 = __SMLADX(x1, c0, acc2); - acc3 = __SMLADX(x3, c0, acc3); - } - - if(k == 2u) - { - /* Read y[4], y[5] */ - a = *py; - b = *(py + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - - c0 = __PKHBT(a, b, 16); - -#else - - c0 = __PKHBT(b, a, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Read x[7], x[8], x[9] */ - a = *px; - b = *(px + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - - x3 = __PKHBT(a, b, 16); - a = *(px + 2); - x2 = __PKHBT(b, a, 16); - -#else - - x3 = __PKHBT(b, a, 16); - a = *(px + 2); - x2 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - px += 2u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLAD(x0, c0, acc0); - acc1 = __SMLAD(x1, c0, acc1); - acc2 = __SMLAD(x3, c0, acc2); - acc3 = __SMLAD(x2, c0, acc3); - } - - if(k == 3u) - { - /* Read y[4], y[5] */ - a = *py; - b = *(py + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - - c0 = __PKHBT(a, b, 16); - -#else - - c0 = __PKHBT(b, a, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - py += 2u; - - /* Read x[7], x[8], x[9] */ - a = *px; - b = *(px + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - - x3 = __PKHBT(a, b, 16); - a = *(px + 2); - x2 = __PKHBT(b, a, 16); - -#else - - x3 = __PKHBT(b, a, 16); - a = *(px + 2); - x2 = __PKHBT(a, b, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Perform the multiply-accumulates */ - acc0 = __SMLAD(x0, c0, acc0); - acc1 = __SMLAD(x1, c0, acc1); - acc2 = __SMLAD(x3, c0, acc2); - acc3 = __SMLAD(x2, c0, acc3); - - c0 = (*py); - /* Read y[6] */ -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; -#else - - c0 = c0 & 0x0000FFFF; -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - - /* Read x[10] */ - b = *(px + 3); - -#ifndef ARM_MATH_BIG_ENDIAN - - x3 = __PKHBT(a, b, 16); - -#else - - x3 = __PKHBT(b, a, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - px += 3u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLADX(x1, c0, acc0); - acc1 = __SMLAD(x2, c0, acc1); - acc2 = __SMLADX(x2, c0, acc2); - acc3 = __SMLADX(x3, c0, acc3); - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (acc0 >> 15); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - *pOut = (q15_t) (acc1 >> 15); - pOut += inc; - - *pOut = (q15_t) (acc2 >> 15); - pOut += inc; - - *pOut = (q15_t) (acc3 >> 15); - pOut += inc; - - /* Increment the pointer pIn1 index, count by 1 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py++); - sum += ((q31_t) * px++ * *py++); - sum += ((q31_t) * px++ * *py++); - sum += ((q31_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (sum >> 15); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment the pointer pIn1 index, count by 1 */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Loop over srcBLen */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += ((q31_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (sum >> 15); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * .... - * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] - * sum += x[srcALen-1] * y[0] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - py = pIn2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py++); - sum += ((q31_t) * px++ * *py++); - sum += ((q31_t) * px++ * *py++); - sum += ((q31_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q31_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (sum >> 15); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pIn2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - } - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - -} - -/** - * @} end of Corr group - */
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_fast_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,612 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_correlate_fast_q31.c -* -* Description: Fast Q31 Correlation. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Corr - * @{ - */ - -/** - * @brief Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * This function is optimized for speed at the expense of fixed-point precision and overflow protection. - * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. - * These intermediate results are accumulated in a 32-bit register in 2.30 format. - * Finally, the accumulator is saturated and converted to a 1.31 result. - * - * \par - * The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result. - * In order to avoid overflows completely the input signals must be scaled down. - * The input signals should be scaled down to avoid intermediate overflows. - * Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a - * maximum of min(srcALen, srcBLen) number of additions is carried internally. - * - * \par - * See <code>arm_correlate_q31()</code> for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. - */ - -void arm_correlate_fast_q31( - q31_t * pSrcA, - uint32_t srcALen, - q31_t * pSrcB, - uint32_t srcBLen, - q31_t * pDst) -{ - q31_t *pIn1; /* inputA pointer */ - q31_t *pIn2; /* inputB pointer */ - q31_t *pOut = pDst; /* output pointer */ - q31_t *px; /* Intermediate inputA pointer */ - q31_t *py; /* Intermediate inputB pointer */ - q31_t *pSrc1; /* Intermediate pointers */ - q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ - q31_t x0, x1, x2, x3, c0; /* temporary variables for holding input and coefficient values */ - uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counter */ - int32_t inc = 1; /* Destination address modifier */ - - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcA); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcB); - - /* Number of output samples is calculated */ - outBlockSize = (2u * srcALen) - 1u; - - /* When srcALen > srcBLen, zero padding is done to srcB - * to make their lengths equal. - * Instead, (outBlockSize - (srcALen + srcBLen - 1)) - * number of output samples are made zero */ - j = outBlockSize - (srcALen + (srcBLen - 1u)); - - /* Updating the pointer position to non zero value */ - pOut += j; - - } - else - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcB); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcA); - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - - /* CORR(x, y) = Reverse order(CORR(y, x)) */ - /* Hence set the destination pointer to point to the last output sample */ - pOut = pDst + ((srcALen + srcBLen) - 2u); - - /* Destination address modifier is set to -1 */ - inc = -1; - - } - - /* The function is internally - * divided into three parts according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first part of the - * algorithm, the multiplications increase by one for every iteration. - * In the second part of the algorithm, srcBLen number of multiplications are done. - * In the third part of the algorithm, the multiplications decrease by one - * for every iteration.*/ - /* The algorithm is implemented in three stages. - * The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = srcALen - (srcBLen - 1u); - blockSize3 = blockSize1; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[srcBlen - 1] - * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] - * .... - * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc1 = pIn2 + (srcBLen - 1u); - py = pSrc1; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first stage starts here */ - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] * y[srcBLen - 4] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - /* x[1] * y[srcBLen - 3] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - /* x[2] * y[srcBLen - 2] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - /* x[3] * y[srcBLen - 1] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* x[0] * y[srcBLen - 1] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = sum << 1; - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pSrc1 - count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] - * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] - * .... - * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = blockSize2 >> 2u; - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* read x[0], x[1], x[2] samples */ - x0 = *(px++); - x1 = *(px++); - x2 = *(px++); - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read y[0] sample */ - c0 = *(py++); - - /* Read x[3] sample */ - x3 = *(px++); - - /* Perform the multiply-accumulate */ - /* acc0 += x[0] * y[0] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); - /* acc1 += x[1] * y[0] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); - /* acc2 += x[2] * y[0] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); - /* acc3 += x[3] * y[0] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); - - /* Read y[1] sample */ - c0 = *(py++); - - /* Read x[4] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[1] * y[1] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32); - /* acc1 += x[2] * y[1] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32); - /* acc2 += x[3] * y[1] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32); - /* acc3 += x[4] * y[1] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32); - - /* Read y[2] sample */ - c0 = *(py++); - - /* Read x[5] sample */ - x1 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[2] * y[2] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32); - /* acc1 += x[3] * y[2] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32); - /* acc2 += x[4] * y[2] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32); - /* acc3 += x[5] * y[2] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32); - - /* Read y[3] sample */ - c0 = *(py++); - - /* Read x[6] sample */ - x2 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[3] * y[3] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32); - /* acc1 += x[4] * y[3] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32); - /* acc2 += x[5] * y[3] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32); - /* acc3 += x[6] * y[3] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32); - - - } while(--k); - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Read y[4] sample */ - c0 = *(py++); - - /* Read x[7] sample */ - x3 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[4] * y[4] */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); - /* acc1 += x[5] * y[4] */ - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); - /* acc2 += x[6] * y[4] */ - acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); - /* acc3 += x[7] * y[4] */ - acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); - - /* Reuse the present samples for the next MAC */ - x0 = x1; - x1 = x2; - x2 = x3; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q31_t) (acc0 << 1); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - *pOut = (q31_t) (acc1 << 1); - pOut += inc; - - *pOut = (q31_t) (acc2 << 1); - pOut += inc; - - *pOut = (q31_t) (acc3 << 1); - pOut += inc; - - /* Increment the pointer pIn1 index, count by 4 */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = sum << 1; - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Loop over srcBLen */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = sum << 1; - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * .... - * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] - * sum += x[srcALen-1] * y[0] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = ((pIn1 + srcALen) - srcBLen) + 1u; - px = pSrc1; - - /* Working pointer of inputB */ - py = pIn2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen - srcBLen + 4] * y[3] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - /* sum += x[srcALen - srcBLen + 3] * y[2] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - /* sum += x[srcALen - srcBLen + 2] * y[1] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - /* sum += x[srcALen - srcBLen + 1] * y[0] */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * px++ * (*py++))) >> 32); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = sum << 1; - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pIn2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - } - -} - -/** - * @} end of Corr group - */
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_opt_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,513 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_correlate_opt_q15.c -* -* Description: Correlation of Q15 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Corr - * @{ - */ - -/** - * @brief Correlation of Q15 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. - * @param[in] *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @return none. - * - * \par Restrictions - * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE - * In this case input, output, scratch buffers should be aligned by 32-bit - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 64-bit internal accumulator. - * Both inputs are in 1.15 format and multiplications yield a 2.30 result. - * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. - * This approach provides 33 guard bits and there is no risk of overflow. - * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. - * - * \par - * Refer to <code>arm_correlate_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. - * - * - */ - - -void arm_correlate_opt_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst, - q15_t * pScratch) -{ - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q63_t acc0, acc1, acc2, acc3; /* Accumulators */ - q15_t *py; /* Intermediate inputB pointer */ - q31_t x1, x2, x3; /* temporary variables for holding input1 and input2 values */ - uint32_t j, blkCnt, outBlockSize; /* loop counter */ - int32_t inc = 1; /* output pointer increment */ - uint32_t tapCnt; - q31_t y1, y2; - q15_t *pScr; /* Intermediate pointers */ - q15_t *pOut = pDst; /* output pointer */ -#ifdef UNALIGNED_SUPPORT_DISABLE - - q15_t a, b; - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - /* But CORR(x, y) is reverse of CORR(y, x) */ - /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ - /* and the destination pointer modifier, inc is set to -1 */ - /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ - /* But to improve the performance, - * we include zeroes in the output instead of zero padding either of the the inputs*/ - /* If srcALen > srcBLen, - * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ - /* If srcALen < srcBLen, - * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcA); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcB); - - /* Number of output samples is calculated */ - outBlockSize = (2u * srcALen) - 1u; - - /* When srcALen > srcBLen, zero padding is done to srcB - * to make their lengths equal. - * Instead, (outBlockSize - (srcALen + srcBLen - 1)) - * number of output samples are made zero */ - j = outBlockSize - (srcALen + (srcBLen - 1u)); - - /* Updating the pointer position to non zero value */ - pOut += j; - - } - else - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcB); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcA); - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - - /* CORR(x, y) = Reverse order(CORR(y, x)) */ - /* Hence set the destination pointer to point to the last output sample */ - pOut = pDst + ((srcALen + srcBLen) - 2u); - - /* Destination address modifier is set to -1 */ - inc = -1; - - } - - pScr = pScratch; - - /* Fill (srcBLen - 1u) zeros in scratch buffer */ - arm_fill_q15(0, pScr, (srcBLen - 1u)); - - /* Update temporary scratch pointer */ - pScr += (srcBLen - 1u); - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Copy (srcALen) samples in scratch buffer */ - arm_copy_q15(pIn1, pScr, srcALen); - - /* Update pointers */ - //pIn1 += srcALen; - pScr += srcALen; - -#else - - /* Apply loop unrolling and do 4 Copies simultaneously. */ - j = srcALen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(j > 0u) - { - /* copy second buffer in reversal manner */ - *pScr++ = *pIn1++; - *pScr++ = *pIn1++; - *pScr++ = *pIn1++; - *pScr++ = *pIn1++; - - /* Decrement the loop counter */ - j--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - j = srcALen % 0x4u; - - while(j > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr++ = *pIn1++; - - /* Decrement the loop counter */ - j--; - } - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Fill (srcBLen - 1u) zeros at end of scratch buffer */ - arm_fill_q15(0, pScr, (srcBLen - 1u)); - - /* Update pointer */ - pScr += (srcBLen - 1u); - -#else - -/* Apply loop unrolling and do 4 Copies simultaneously. */ - j = (srcBLen - 1u) >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(j > 0u) - { - /* copy second buffer in reversal manner */ - *pScr++ = 0; - *pScr++ = 0; - *pScr++ = 0; - *pScr++ = 0; - - /* Decrement the loop counter */ - j--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - j = (srcBLen - 1u) % 0x4u; - - while(j > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr++ = 0; - - /* Decrement the loop counter */ - j--; - } - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* Temporary pointer for scratch2 */ - py = pIn2; - - - /* Actual correlation process starts here */ - blkCnt = (srcALen + srcBLen - 1u) >> 2; - - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr = pScratch; - - /* Clear Accumlators */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Read four samples from scratch1 buffer */ - x1 = *__SIMD32(pScr)++; - - /* Read next four samples from scratch1 buffer */ - x2 = *__SIMD32(pScr)++; - - tapCnt = (srcBLen) >> 2u; - - while(tapCnt > 0u) - { - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Read four samples from smaller buffer */ - y1 = _SIMD32_OFFSET(pIn2); - y2 = _SIMD32_OFFSET(pIn2 + 2u); - - acc0 = __SMLALD(x1, y1, acc0); - - acc2 = __SMLALD(x2, y1, acc2); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc1 = __SMLALDX(x3, y1, acc1); - - x1 = _SIMD32_OFFSET(pScr); - - acc0 = __SMLALD(x2, y2, acc0); - - acc2 = __SMLALD(x1, y2, acc2); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x1, x2, 0); -#else - x3 = __PKHBT(x2, x1, 0); -#endif - - acc3 = __SMLALDX(x3, y1, acc3); - - acc1 = __SMLALDX(x3, y2, acc1); - - x2 = _SIMD32_OFFSET(pScr + 2u); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc3 = __SMLALDX(x3, y2, acc3); - -#else - - /* Read four samples from smaller buffer */ - a = *pIn2; - b = *(pIn2 + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - y1 = __PKHBT(a, b, 16); -#else - y1 = __PKHBT(b, a, 16); -#endif - - a = *(pIn2 + 2); - b = *(pIn2 + 3); -#ifndef ARM_MATH_BIG_ENDIAN - y2 = __PKHBT(a, b, 16); -#else - y2 = __PKHBT(b, a, 16); -#endif - - acc0 = __SMLALD(x1, y1, acc0); - - acc2 = __SMLALD(x2, y1, acc2); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc1 = __SMLALDX(x3, y1, acc1); - - a = *pScr; - b = *(pScr + 1); - -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(a, b, 16); -#else - x1 = __PKHBT(b, a, 16); -#endif - - acc0 = __SMLALD(x2, y2, acc0); - - acc2 = __SMLALD(x1, y2, acc2); - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x1, x2, 0); -#else - x3 = __PKHBT(x2, x1, 0); -#endif - - acc3 = __SMLALDX(x3, y1, acc3); - - acc1 = __SMLALDX(x3, y2, acc1); - - a = *(pScr + 2); - b = *(pScr + 3); - -#ifndef ARM_MATH_BIG_ENDIAN - x2 = __PKHBT(a, b, 16); -#else - x2 = __PKHBT(b, a, 16); -#endif - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc3 = __SMLALDX(x3, y2, acc3); - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - pIn2 += 4u; - - pScr += 4u; - - - /* Decrement the loop counter */ - tapCnt--; - } - - - - /* Update scratch pointer for remaining samples of smaller length sequence */ - pScr -= 4u; - - - /* apply same above for remaining samples of smaller length sequence */ - tapCnt = (srcBLen) & 3u; - - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr++ * *pIn2); - acc1 += (*pScr++ * *pIn2); - acc2 += (*pScr++ * *pIn2); - acc3 += (*pScr++ * *pIn2++); - - pScr -= 3u; - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - - /* Store the results in the accumulators in the destination buffer. */ - *pOut = (__SSAT(acc0 >> 15u, 16)); - pOut += inc; - *pOut = (__SSAT(acc1 >> 15u, 16)); - pOut += inc; - *pOut = (__SSAT(acc2 >> 15u, 16)); - pOut += inc; - *pOut = (__SSAT(acc3 >> 15u, 16)); - pOut += inc; - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch += 4u; - - } - - - blkCnt = (srcALen + srcBLen - 1u) & 0x3; - - /* Calculate correlation for remaining samples of Bigger length sequence */ - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr = pScratch; - - /* Clear Accumlators */ - acc0 = 0; - - tapCnt = (srcBLen) >> 1u; - - while(tapCnt > 0u) - { - - acc0 += (*pScr++ * *pIn2++); - acc0 += (*pScr++ * *pIn2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (srcBLen) & 1u; - - /* apply same above for remaining samples of smaller length sequence */ - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr++ * *pIn2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (__SSAT((acc0 >> 15), 16)); - - pOut += inc; - - /* Initialization of inputB pointer */ - pIn2 = py; - - pScratch += 1u; - - } - - -} - -/** - * @} end of Corr group - */
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_opt_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,464 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_correlate_opt_q7.c -* -* Description: Correlation of Q7 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Corr - * @{ - */ - -/** - * @brief Correlation of Q7 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. - * @param[in] *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. - * @param[in] *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). - * @return none. - * - * - * \par Restrictions - * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE - * In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 32-bit internal accumulator. - * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. - * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. - * This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)<131072</code>. - * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format. - * - * - */ - - - -void arm_correlate_opt_q7( - q7_t * pSrcA, - uint32_t srcALen, - q7_t * pSrcB, - uint32_t srcBLen, - q7_t * pDst, - q15_t * pScratch1, - q15_t * pScratch2) -{ - q7_t *pOut = pDst; /* output pointer */ - q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch */ - q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch */ - q7_t *pIn1; /* inputA pointer */ - q7_t *pIn2; /* inputB pointer */ - q15_t *py; /* Intermediate inputB pointer */ - q31_t acc0, acc1, acc2, acc3; /* Accumulators */ - uint32_t j, k = 0u, blkCnt; /* loop counter */ - int32_t inc = 1; /* output pointer increment */ - uint32_t outBlockSize; /* loop counter */ - q15_t x4; /* Temporary input variable */ - uint32_t tapCnt; /* loop counter */ - q31_t x1, x2, x3, y1; /* Temporary input variables */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - /* But CORR(x, y) is reverse of CORR(y, x) */ - /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ - /* and the destination pointer modifier, inc is set to -1 */ - /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ - /* But to improve the performance, - * we include zeroes in the output instead of zero padding either of the the inputs*/ - /* If srcALen > srcBLen, - * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ - /* If srcALen < srcBLen, - * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcA); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcB); - - /* Number of output samples is calculated */ - outBlockSize = (2u * srcALen) - 1u; - - /* When srcALen > srcBLen, zero padding is done to srcB - * to make their lengths equal. - * Instead, (outBlockSize - (srcALen + srcBLen - 1)) - * number of output samples are made zero */ - j = outBlockSize - (srcALen + (srcBLen - 1u)); - - /* Updating the pointer position to non zero value */ - pOut += j; - - } - else - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcB); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcA); - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - - /* CORR(x, y) = Reverse order(CORR(y, x)) */ - /* Hence set the destination pointer to point to the last output sample */ - pOut = pDst + ((srcALen + srcBLen) - 2u); - - /* Destination address modifier is set to -1 */ - inc = -1; - - } - - - /* Copy (srcBLen) samples in scratch buffer */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - x4 = (q15_t) * pIn2++; - *pScr2++ = x4; - x4 = (q15_t) * pIn2++; - *pScr2++ = x4; - x4 = (q15_t) * pIn2++; - *pScr2++ = x4; - x4 = (q15_t) * pIn2++; - *pScr2++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - x4 = (q15_t) * pIn2++; - *pScr2++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* Fill (srcBLen - 1u) zeros in scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update temporary scratch pointer */ - pScr1 += (srcBLen - 1u); - - /* Copy (srcALen) samples in scratch buffer */ - k = srcALen >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = srcALen % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - x4 = (q15_t) * pIn1++; - *pScr1++ = x4; - - /* Decrement the loop counter */ - k--; - } - -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Fill (srcBLen - 1u) zeros at end of scratch buffer */ - arm_fill_q15(0, pScr1, (srcBLen - 1u)); - - /* Update pointer */ - pScr1 += (srcBLen - 1u); - -#else - -/* Apply loop unrolling and do 4 Copies simultaneously. */ - k = (srcBLen - 1u) >> 2u; - - /* First part of the processing with loop unrolling copies 4 data points at a time. - ** a second loop below copies for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* copy second buffer in reversal manner */ - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, copy remaining samples here. - ** No loop unrolling is used. */ - k = (srcBLen - 1u) % 0x4u; - - while(k > 0u) - { - /* copy second buffer in reversal manner for remaining samples */ - *pScr1++ = 0; - - /* Decrement the loop counter */ - k--; - } - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* Temporary pointer for second sequence */ - py = pScratch2; - - /* Initialization of pScr2 pointer */ - pScr2 = pScratch2; - - /* Actual correlation process starts here */ - blkCnt = (srcALen + srcBLen - 1u) >> 2; - - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Read two samples from scratch1 buffer */ - x1 = *__SIMD32(pScr1)++; - - /* Read next two samples from scratch1 buffer */ - x2 = *__SIMD32(pScr1)++; - - tapCnt = (srcBLen) >> 2u; - - while(tapCnt > 0u) - { - - /* Read four samples from smaller buffer */ - y1 = _SIMD32_OFFSET(pScr2); - - /* multiply and accumlate */ - acc0 = __SMLAD(x1, y1, acc0); - acc2 = __SMLAD(x2, y1, acc2); - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - /* multiply and accumlate */ - acc1 = __SMLADX(x3, y1, acc1); - - /* Read next two samples from scratch1 buffer */ - x1 = *__SIMD32(pScr1)++; - - /* pack input data */ -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x1, x2, 0); -#else - x3 = __PKHBT(x2, x1, 0); -#endif - - acc3 = __SMLADX(x3, y1, acc3); - - /* Read four samples from smaller buffer */ - y1 = _SIMD32_OFFSET(pScr2 + 2u); - - acc0 = __SMLAD(x2, y1, acc0); - - acc2 = __SMLAD(x1, y1, acc2); - - acc1 = __SMLADX(x3, y1, acc1); - - x2 = *__SIMD32(pScr1)++; - -#ifndef ARM_MATH_BIG_ENDIAN - x3 = __PKHBT(x2, x1, 0); -#else - x3 = __PKHBT(x1, x2, 0); -#endif - - acc3 = __SMLADX(x3, y1, acc3); - - pScr2 += 4u; - - - /* Decrement the loop counter */ - tapCnt--; - } - - - - /* Update scratch pointer for remaining samples of smaller length sequence */ - pScr1 -= 4u; - - - /* apply same above for remaining samples of smaller length sequence */ - tapCnt = (srcBLen) & 3u; - - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pScr2); - acc1 += (*pScr1++ * *pScr2); - acc2 += (*pScr1++ * *pScr2); - acc3 += (*pScr1++ * *pScr2++); - - pScr1 -= 3u; - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q7_t) (__SSAT(acc0 >> 7u, 8)); - pOut += inc; - *pOut = (q7_t) (__SSAT(acc1 >> 7u, 8)); - pOut += inc; - *pOut = (q7_t) (__SSAT(acc2 >> 7u, 8)); - pOut += inc; - *pOut = (q7_t) (__SSAT(acc3 >> 7u, 8)); - pOut += inc; - - /* Initialization of inputB pointer */ - pScr2 = py; - - pScratch1 += 4u; - - } - - - blkCnt = (srcALen + srcBLen - 1u) & 0x3; - - /* Calculate correlation for remaining samples of Bigger length sequence */ - while(blkCnt > 0) - { - /* Initialze temporary scratch pointer as scratch1 */ - pScr1 = pScratch1; - - /* Clear Accumlators */ - acc0 = 0; - - tapCnt = (srcBLen) >> 1u; - - while(tapCnt > 0u) - { - acc0 += (*pScr1++ * *pScr2++); - acc0 += (*pScr1++ * *pScr2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (srcBLen) & 1u; - - /* apply same above for remaining samples of smaller length sequence */ - while(tapCnt > 0u) - { - - /* accumlate the results */ - acc0 += (*pScr1++ * *pScr2++); - - /* Decrement the loop counter */ - tapCnt--; - } - - blkCnt--; - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q7_t) (__SSAT(acc0 >> 7u, 8)); - - pOut += inc; - - /* Initialization of inputB pointer */ - pScr2 = py; - - pScratch1 += 1u; - - } - -} - -/** - * @} end of Corr group - */
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,719 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_correlate_q15.c -* -* Description: Correlation of Q15 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Corr - * @{ - */ - -/** - * @brief Correlation of Q15 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 64-bit internal accumulator. - * Both inputs are in 1.15 format and multiplications yield a 2.30 result. - * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. - * This approach provides 33 guard bits and there is no risk of overflow. - * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. - * - * \par - * Refer to <code>arm_correlate_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. - * - * \par - * Refer the function <code>arm_correlate_opt_q15()</code> for a faster implementation of this function using scratch buffers. - * - */ - -void arm_correlate_q15( - q15_t * pSrcA, - uint32_t srcALen, - q15_t * pSrcB, - uint32_t srcBLen, - q15_t * pDst) -{ - -#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q15_t *pIn1; /* inputA pointer */ - q15_t *pIn2; /* inputB pointer */ - q15_t *pOut = pDst; /* output pointer */ - q63_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ - q15_t *px; /* Intermediate inputA pointer */ - q15_t *py; /* Intermediate inputB pointer */ - q15_t *pSrc1; /* Intermediate pointers */ - q31_t x0, x1, x2, x3, c0; /* temporary variables for holding input and coefficient values */ - uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counter */ - int32_t inc = 1; /* Destination address modifier */ - - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - /* But CORR(x, y) is reverse of CORR(y, x) */ - /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ - /* and the destination pointer modifier, inc is set to -1 */ - /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ - /* But to improve the performance, - * we include zeroes in the output instead of zero padding either of the the inputs*/ - /* If srcALen > srcBLen, - * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ - /* If srcALen < srcBLen, - * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcA); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcB); - - /* Number of output samples is calculated */ - outBlockSize = (2u * srcALen) - 1u; - - /* When srcALen > srcBLen, zero padding is done to srcB - * to make their lengths equal. - * Instead, (outBlockSize - (srcALen + srcBLen - 1)) - * number of output samples are made zero */ - j = outBlockSize - (srcALen + (srcBLen - 1u)); - - /* Updating the pointer position to non zero value */ - pOut += j; - - } - else - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcB); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcA); - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - - /* CORR(x, y) = Reverse order(CORR(y, x)) */ - /* Hence set the destination pointer to point to the last output sample */ - pOut = pDst + ((srcALen + srcBLen) - 2u); - - /* Destination address modifier is set to -1 */ - inc = -1; - - } - - /* The function is internally - * divided into three parts according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first part of the - * algorithm, the multiplications increase by one for every iteration. - * In the second part of the algorithm, srcBLen number of multiplications are done. - * In the third part of the algorithm, the multiplications decrease by one - * for every iteration.*/ - /* The algorithm is implemented in three stages. - * The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = srcALen - (srcBLen - 1u); - blockSize3 = blockSize1; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[srcBlen - 1] - * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] - * .... - * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc1 = pIn2 + (srcBLen - 1u); - py = pSrc1; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first loop starts here */ - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */ - sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum); - /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */ - sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* x[0] * y[srcBLen - 1] */ - sum = __SMLALD(*px++, *py++, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (__SSAT((sum >> 15), 16)); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pSrc1 - count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] - * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] - * .... - * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = blockSize2 >> 2u; - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* read x[0], x[1] samples */ - x0 = *__SIMD32(px); - /* read x[1], x[2] samples */ - x1 = _SIMD32_OFFSET(px + 1); - px += 2u; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read the first two inputB samples using SIMD: - * y[0] and y[1] */ - c0 = *__SIMD32(py)++; - - /* acc0 += x[0] * y[0] + x[1] * y[1] */ - acc0 = __SMLALD(x0, c0, acc0); - - /* acc1 += x[1] * y[0] + x[2] * y[1] */ - acc1 = __SMLALD(x1, c0, acc1); - - /* Read x[2], x[3] */ - x2 = *__SIMD32(px); - - /* Read x[3], x[4] */ - x3 = _SIMD32_OFFSET(px + 1); - - /* acc2 += x[2] * y[0] + x[3] * y[1] */ - acc2 = __SMLALD(x2, c0, acc2); - - /* acc3 += x[3] * y[0] + x[4] * y[1] */ - acc3 = __SMLALD(x3, c0, acc3); - - /* Read y[2] and y[3] */ - c0 = *__SIMD32(py)++; - - /* acc0 += x[2] * y[2] + x[3] * y[3] */ - acc0 = __SMLALD(x2, c0, acc0); - - /* acc1 += x[3] * y[2] + x[4] * y[3] */ - acc1 = __SMLALD(x3, c0, acc1); - - /* Read x[4], x[5] */ - x0 = _SIMD32_OFFSET(px + 2); - - /* Read x[5], x[6] */ - x1 = _SIMD32_OFFSET(px + 3); - - px += 4u; - - /* acc2 += x[4] * y[2] + x[5] * y[3] */ - acc2 = __SMLALD(x0, c0, acc2); - - /* acc3 += x[5] * y[2] + x[6] * y[3] */ - acc3 = __SMLALD(x1, c0, acc3); - - } while(--k); - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - if(k == 1u) - { - /* Read y[4] */ - c0 = *py; -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; - -#else - - c0 = c0 & 0x0000FFFF; - -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - /* Read x[7] */ - x3 = *__SIMD32(px); - px++; - - /* Perform the multiply-accumulates */ - acc0 = __SMLALD(x0, c0, acc0); - acc1 = __SMLALD(x1, c0, acc1); - acc2 = __SMLALDX(x1, c0, acc2); - acc3 = __SMLALDX(x3, c0, acc3); - } - - if(k == 2u) - { - /* Read y[4], y[5] */ - c0 = *__SIMD32(py); - - /* Read x[7], x[8] */ - x3 = *__SIMD32(px); - - /* Read x[9] */ - x2 = _SIMD32_OFFSET(px + 1); - px += 2u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLALD(x0, c0, acc0); - acc1 = __SMLALD(x1, c0, acc1); - acc2 = __SMLALD(x3, c0, acc2); - acc3 = __SMLALD(x2, c0, acc3); - } - - if(k == 3u) - { - /* Read y[4], y[5] */ - c0 = *__SIMD32(py)++; - - /* Read x[7], x[8] */ - x3 = *__SIMD32(px); - - /* Read x[9] */ - x2 = _SIMD32_OFFSET(px + 1); - - /* Perform the multiply-accumulates */ - acc0 = __SMLALD(x0, c0, acc0); - acc1 = __SMLALD(x1, c0, acc1); - acc2 = __SMLALD(x3, c0, acc2); - acc3 = __SMLALD(x2, c0, acc3); - - c0 = (*py); - - /* Read y[6] */ -#ifdef ARM_MATH_BIG_ENDIAN - - c0 = c0 << 16u; -#else - - c0 = c0 & 0x0000FFFF; -#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ - /* Read x[10] */ - x3 = _SIMD32_OFFSET(px + 2); - px += 3u; - - /* Perform the multiply-accumulates */ - acc0 = __SMLALDX(x1, c0, acc0); - acc1 = __SMLALD(x2, c0, acc1); - acc2 = __SMLALDX(x2, c0, acc2); - acc3 = __SMLALDX(x3, c0, acc3); - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (__SSAT(acc0 >> 15, 16)); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - *pOut = (q15_t) (__SSAT(acc1 >> 15, 16)); - pOut += inc; - - *pOut = (q15_t) (__SSAT(acc2 >> 15, 16)); - pOut += inc; - - *pOut = (q15_t) (__SSAT(acc3 >> 15, 16)); - pOut += inc; - - /* Increment the count by 4 as 4 output values are computed */ - count += 4u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q63_t) * px++ * *py++); - sum += ((q63_t) * px++ * *py++); - sum += ((q63_t) * px++ * *py++); - sum += ((q63_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q63_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (__SSAT(sum >> 15, 16)); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment count by 1, as one output value is computed */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Loop over srcBLen */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += ((q63_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (__SSAT(sum >> 15, 16)); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * .... - * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] - * sum += x[srcALen-1] * y[0] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = (pIn1 + srcALen) - (srcBLen - 1u); - px = pSrc1; - - /* Working pointer of inputB */ - py = pIn2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */ - sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum); - /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */ - sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum = __SMLALD(*px++, *py++, sum); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q15_t) (__SSAT((sum >> 15), 16)); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pIn2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - } - -#else - -/* Run the below code for Cortex-M0 */ - - q15_t *pIn1 = pSrcA; /* inputA pointer */ - q15_t *pIn2 = pSrcB + (srcBLen - 1u); /* inputB pointer */ - q63_t sum; /* Accumulators */ - uint32_t i = 0u, j; /* loop counters */ - uint32_t inv = 0u; /* Reverse order flag */ - uint32_t tot = 0u; /* Length */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - /* But CORR(x, y) is reverse of CORR(y, x) */ - /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ - /* and a varaible, inv is set to 1 */ - /* If lengths are not equal then zero pad has to be done to make the two - * inputs of same length. But to improve the performance, we include zeroes - * in the output instead of zero padding either of the the inputs*/ - /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the - * starting of the output buffer */ - /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the - * ending of the output buffer */ - /* Once the zero padding is done the remaining of the output is calcualted - * using convolution but with the shorter signal time shifted. */ - - /* Calculate the length of the remaining sequence */ - tot = ((srcALen + srcBLen) - 2u); - - if(srcALen > srcBLen) - { - /* Calculating the number of zeros to be padded to the output */ - j = srcALen - srcBLen; - - /* Initialise the pointer after zero padding */ - pDst += j; - } - - else if(srcALen < srcBLen) - { - /* Initialization to inputB pointer */ - pIn1 = pSrcB; - - /* Initialization to the end of inputA pointer */ - pIn2 = pSrcA + (srcALen - 1u); - - /* Initialisation of the pointer after zero padding */ - pDst = pDst + tot; - - /* Swapping the lengths */ - j = srcALen; - srcALen = srcBLen; - srcBLen = j; - - /* Setting the reverse flag */ - inv = 1; - - } - - /* Loop to calculate convolution for output length number of times */ - for (i = 0u; i <= tot; i++) - { - /* Initialize sum with zero to carry on MAC operations */ - sum = 0; - - /* Loop to perform MAC operations according to convolution equation */ - for (j = 0u; j <= i; j++) - { - /* Check the array limitations */ - if((((i - j) < srcBLen) && (j < srcALen))) - { - /* z[i] += x[i-j] * y[j] */ - sum += ((q31_t) pIn1[j] * pIn2[-((int32_t) i - j)]); - } - } - /* Store the output in the destination buffer */ - if(inv == 1) - *pDst-- = (q15_t) __SSAT((sum >> 15u), 16u); - else - *pDst++ = (q15_t) __SSAT((sum >> 15u), 16u); - } - -#endif /*#if (defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) */ - -} - -/** - * @} end of Corr group - */
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,665 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_correlate_q31.c -* -* Description: Correlation of Q31 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Corr - * @{ - */ - -/** - * @brief Correlation of Q31 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using an internal 64-bit accumulator. - * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. - * There is no saturation on intermediate additions. - * Thus, if the accumulator overflows it wraps around and distorts the result. - * The input signals should be scaled down to avoid intermediate overflows. - * Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a - * maximum of min(srcALen, srcBLen) number of additions is carried internally. - * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. - * - * \par - * See <code>arm_correlate_fast_q31()</code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. - */ - -void arm_correlate_q31( - q31_t * pSrcA, - uint32_t srcALen, - q31_t * pSrcB, - uint32_t srcBLen, - q31_t * pDst) -{ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t *pIn1; /* inputA pointer */ - q31_t *pIn2; /* inputB pointer */ - q31_t *pOut = pDst; /* output pointer */ - q31_t *px; /* Intermediate inputA pointer */ - q31_t *py; /* Intermediate inputB pointer */ - q31_t *pSrc1; /* Intermediate pointers */ - q63_t sum, acc0, acc1, acc2; /* Accumulators */ - q31_t x0, x1, x2, c0; /* temporary variables for holding input and coefficient values */ - uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counter */ - int32_t inc = 1; /* Destination address modifier */ - - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - /* But CORR(x, y) is reverse of CORR(y, x) */ - /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ - /* and the destination pointer modifier, inc is set to -1 */ - /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ - /* But to improve the performance, - * we include zeroes in the output instead of zero padding either of the the inputs*/ - /* If srcALen > srcBLen, - * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ - /* If srcALen < srcBLen, - * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcA); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcB); - - /* Number of output samples is calculated */ - outBlockSize = (2u * srcALen) - 1u; - - /* When srcALen > srcBLen, zero padding is done to srcB - * to make their lengths equal. - * Instead, (outBlockSize - (srcALen + srcBLen - 1)) - * number of output samples are made zero */ - j = outBlockSize - (srcALen + (srcBLen - 1u)); - - /* Updating the pointer position to non zero value */ - pOut += j; - - } - else - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcB); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcA); - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - - /* CORR(x, y) = Reverse order(CORR(y, x)) */ - /* Hence set the destination pointer to point to the last output sample */ - pOut = pDst + ((srcALen + srcBLen) - 2u); - - /* Destination address modifier is set to -1 */ - inc = -1; - - } - - /* The function is internally - * divided into three parts according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first part of the - * algorithm, the multiplications increase by one for every iteration. - * In the second part of the algorithm, srcBLen number of multiplications are done. - * In the third part of the algorithm, the multiplications decrease by one - * for every iteration.*/ - /* The algorithm is implemented in three stages. - * The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = srcALen - (srcBLen - 1u); - blockSize3 = blockSize1; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[srcBlen - 1] - * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] - * .... - * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc1 = pIn2 + (srcBLen - 1u); - py = pSrc1; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first stage starts here */ - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] * y[srcBLen - 4] */ - sum += (q63_t) * px++ * (*py++); - /* x[1] * y[srcBLen - 3] */ - sum += (q63_t) * px++ * (*py++); - /* x[2] * y[srcBLen - 2] */ - sum += (q63_t) * px++ * (*py++); - /* x[3] * y[srcBLen - 1] */ - sum += (q63_t) * px++ * (*py++); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* x[0] * y[srcBLen - 1] */ - sum += (q63_t) * px++ * (*py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q31_t) (sum >> 31); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pSrc1 - count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] - * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] - * .... - * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll by 3 */ - blkCnt = blockSize2 / 3; - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - - /* read x[0], x[1] samples */ - x0 = *(px++); - x1 = *(px++); - - /* Apply loop unrolling and compute 3 MACs simultaneously. */ - k = srcBLen / 3; - - /* First part of the processing with loop unrolling. Compute 3 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 2 samples. */ - do - { - /* Read y[0] sample */ - c0 = *(py); - - /* Read x[2] sample */ - x2 = *(px); - - /* Perform the multiply-accumulate */ - /* acc0 += x[0] * y[0] */ - acc0 += ((q63_t) x0 * c0); - /* acc1 += x[1] * y[0] */ - acc1 += ((q63_t) x1 * c0); - /* acc2 += x[2] * y[0] */ - acc2 += ((q63_t) x2 * c0); - - /* Read y[1] sample */ - c0 = *(py + 1u); - - /* Read x[3] sample */ - x0 = *(px + 1u); - - /* Perform the multiply-accumulates */ - /* acc0 += x[1] * y[1] */ - acc0 += ((q63_t) x1 * c0); - /* acc1 += x[2] * y[1] */ - acc1 += ((q63_t) x2 * c0); - /* acc2 += x[3] * y[1] */ - acc2 += ((q63_t) x0 * c0); - - /* Read y[2] sample */ - c0 = *(py + 2u); - - /* Read x[4] sample */ - x1 = *(px + 2u); - - /* Perform the multiply-accumulates */ - /* acc0 += x[2] * y[2] */ - acc0 += ((q63_t) x2 * c0); - /* acc1 += x[3] * y[2] */ - acc1 += ((q63_t) x0 * c0); - /* acc2 += x[4] * y[2] */ - acc2 += ((q63_t) x1 * c0); - - /* update scratch pointers */ - px += 3u; - py += 3u; - - } while(--k); - - /* If the srcBLen is not a multiple of 3, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen - (3 * (srcBLen / 3)); - - while(k > 0u) - { - /* Read y[4] sample */ - c0 = *(py++); - - /* Read x[7] sample */ - x2 = *(px++); - - /* Perform the multiply-accumulates */ - /* acc0 += x[4] * y[4] */ - acc0 += ((q63_t) x0 * c0); - /* acc1 += x[5] * y[4] */ - acc1 += ((q63_t) x1 * c0); - /* acc2 += x[6] * y[4] */ - acc2 += ((q63_t) x2 * c0); - - /* Reuse the present samples for the next MAC */ - x0 = x1; - x1 = x2; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q31_t) (acc0 >> 31); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - *pOut = (q31_t) (acc1 >> 31); - pOut += inc; - - *pOut = (q31_t) (acc2 >> 31); - pOut += inc; - - /* Increment the pointer pIn1 index, count by 3 */ - count += 3u; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 - 3 * (blockSize2 / 3); - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += (q63_t) * px++ * (*py++); - sum += (q63_t) * px++ * (*py++); - sum += (q63_t) * px++ * (*py++); - sum += (q63_t) * px++ * (*py++); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += (q63_t) * px++ * (*py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q31_t) (sum >> 31); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Loop over srcBLen */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += (q63_t) * px++ * (*py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q31_t) (sum >> 31); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * .... - * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] - * sum += x[srcALen-1] * y[0] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = pIn1 + (srcALen - (srcBLen - 1u)); - px = pSrc1; - - /* Working pointer of inputB */ - py = pIn2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* sum += x[srcALen - srcBLen + 4] * y[3] */ - sum += (q63_t) * px++ * (*py++); - /* sum += x[srcALen - srcBLen + 3] * y[2] */ - sum += (q63_t) * px++ * (*py++); - /* sum += x[srcALen - srcBLen + 2] * y[1] */ - sum += (q63_t) * px++ * (*py++); - /* sum += x[srcALen - srcBLen + 1] * y[0] */ - sum += (q63_t) * px++ * (*py++); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += (q63_t) * px++ * (*py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q31_t) (sum >> 31); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pIn2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - q31_t *pIn1 = pSrcA; /* inputA pointer */ - q31_t *pIn2 = pSrcB + (srcBLen - 1u); /* inputB pointer */ - q63_t sum; /* Accumulators */ - uint32_t i = 0u, j; /* loop counters */ - uint32_t inv = 0u; /* Reverse order flag */ - uint32_t tot = 0u; /* Length */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - /* But CORR(x, y) is reverse of CORR(y, x) */ - /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ - /* and a varaible, inv is set to 1 */ - /* If lengths are not equal then zero pad has to be done to make the two - * inputs of same length. But to improve the performance, we include zeroes - * in the output instead of zero padding either of the the inputs*/ - /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the - * starting of the output buffer */ - /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the - * ending of the output buffer */ - /* Once the zero padding is done the remaining of the output is calcualted - * using correlation but with the shorter signal time shifted. */ - - /* Calculate the length of the remaining sequence */ - tot = ((srcALen + srcBLen) - 2u); - - if(srcALen > srcBLen) - { - /* Calculating the number of zeros to be padded to the output */ - j = srcALen - srcBLen; - - /* Initialise the pointer after zero padding */ - pDst += j; - } - - else if(srcALen < srcBLen) - { - /* Initialization to inputB pointer */ - pIn1 = pSrcB; - - /* Initialization to the end of inputA pointer */ - pIn2 = pSrcA + (srcALen - 1u); - - /* Initialisation of the pointer after zero padding */ - pDst = pDst + tot; - - /* Swapping the lengths */ - j = srcALen; - srcALen = srcBLen; - srcBLen = j; - - /* Setting the reverse flag */ - inv = 1; - - } - - /* Loop to calculate correlation for output length number of times */ - for (i = 0u; i <= tot; i++) - { - /* Initialize sum with zero to carry on MAC operations */ - sum = 0; - - /* Loop to perform MAC operations according to correlation equation */ - for (j = 0u; j <= i; j++) - { - /* Check the array limitations */ - if((((i - j) < srcBLen) && (j < srcALen))) - { - /* z[i] += x[i-j] * y[j] */ - sum += ((q63_t) pIn1[j] * pIn2[-((int32_t) i - j)]); - } - } - /* Store the output in the destination buffer */ - if(inv == 1) - *pDst-- = (q31_t) (sum >> 31u); - else - *pDst++ = (q31_t) (sum >> 31u); - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of Corr group - */
--- a/cmsis_dsp/FilteringFunctions/arm_correlate_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,790 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_correlate_q7.c -* -* Description: Correlation of Q7 sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup Corr - * @{ - */ - -/** - * @brief Correlation of Q7 sequences. - * @param[in] *pSrcA points to the first input sequence. - * @param[in] srcALen length of the first input sequence. - * @param[in] *pSrcB points to the second input sequence. - * @param[in] srcBLen length of the second input sequence. - * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 32-bit internal accumulator. - * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. - * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. - * This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)<131072</code>. - * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format. - * - * \par - * Refer the function <code>arm_correlate_opt_q7()</code> for a faster implementation of this function. - * - */ - -void arm_correlate_q7( - q7_t * pSrcA, - uint32_t srcALen, - q7_t * pSrcB, - uint32_t srcBLen, - q7_t * pDst) -{ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q7_t *pIn1; /* inputA pointer */ - q7_t *pIn2; /* inputB pointer */ - q7_t *pOut = pDst; /* output pointer */ - q7_t *px; /* Intermediate inputA pointer */ - q7_t *py; /* Intermediate inputB pointer */ - q7_t *pSrc1; /* Intermediate pointers */ - q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ - q31_t input1, input2; /* temporary variables */ - q15_t in1, in2; /* temporary variables */ - q7_t x0, x1, x2, x3, c0, c1; /* temporary variables for holding input and coefficient values */ - uint32_t j, k = 0u, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counter */ - int32_t inc = 1; - - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - /* But CORR(x, y) is reverse of CORR(y, x) */ - /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ - /* and the destination pointer modifier, inc is set to -1 */ - /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ - /* But to improve the performance, - * we include zeroes in the output instead of zero padding either of the the inputs*/ - /* If srcALen > srcBLen, - * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ - /* If srcALen < srcBLen, - * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ - if(srcALen >= srcBLen) - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcA); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcB); - - /* Number of output samples is calculated */ - outBlockSize = (2u * srcALen) - 1u; - - /* When srcALen > srcBLen, zero padding is done to srcB - * to make their lengths equal. - * Instead, (outBlockSize - (srcALen + srcBLen - 1)) - * number of output samples are made zero */ - j = outBlockSize - (srcALen + (srcBLen - 1u)); - - /* Updating the pointer position to non zero value */ - pOut += j; - - } - else - { - /* Initialization of inputA pointer */ - pIn1 = (pSrcB); - - /* Initialization of inputB pointer */ - pIn2 = (pSrcA); - - /* srcBLen is always considered as shorter or equal to srcALen */ - j = srcBLen; - srcBLen = srcALen; - srcALen = j; - - /* CORR(x, y) = Reverse order(CORR(y, x)) */ - /* Hence set the destination pointer to point to the last output sample */ - pOut = pDst + ((srcALen + srcBLen) - 2u); - - /* Destination address modifier is set to -1 */ - inc = -1; - - } - - /* The function is internally - * divided into three parts according to the number of multiplications that has to be - * taken place between inputA samples and inputB samples. In the first part of the - * algorithm, the multiplications increase by one for every iteration. - * In the second part of the algorithm, srcBLen number of multiplications are done. - * In the third part of the algorithm, the multiplications decrease by one - * for every iteration.*/ - /* The algorithm is implemented in three stages. - * The loop counters of each stage is initiated here. */ - blockSize1 = srcBLen - 1u; - blockSize2 = srcALen - (srcBLen - 1u); - blockSize3 = blockSize1; - - /* -------------------------- - * Initializations of stage1 - * -------------------------*/ - - /* sum = x[0] * y[srcBlen - 1] - * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] - * .... - * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] - */ - - /* In this stage the MAC operations are increased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = 1u; - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - pSrc1 = pIn2 + (srcBLen - 1u); - py = pSrc1; - - /* ------------------------ - * Stage1 process - * ----------------------*/ - - /* The first stage starts here */ - while(blockSize1 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[0] , x[1] */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* y[srcBLen - 4] , y[srcBLen - 3] */ - in1 = (q15_t) * py++; - in2 = (q15_t) * py++; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* x[0] * y[srcBLen - 4] */ - /* x[1] * y[srcBLen - 3] */ - sum = __SMLAD(input1, input2, sum); - - /* x[2] , x[3] */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* y[srcBLen - 2] , y[srcBLen - 1] */ - in1 = (q15_t) * py++; - in2 = (q15_t) * py++; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* x[2] * y[srcBLen - 2] */ - /* x[3] * y[srcBLen - 1] */ - sum = __SMLAD(input1, input2, sum); - - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - /* x[0] * y[srcBLen - 1] */ - sum += (q31_t) ((q15_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q7_t) (__SSAT(sum >> 7, 8)); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - py = pSrc1 - count; - px = pIn1; - - /* Increment the MAC count */ - count++; - - /* Decrement the loop counter */ - blockSize1--; - } - - /* -------------------------- - * Initializations of stage2 - * ------------------------*/ - - /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] - * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] - * .... - * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - */ - - /* Working pointer of inputA */ - px = pIn1; - - /* Working pointer of inputB */ - py = pIn2; - - /* count is index by which the pointer pIn1 to be incremented */ - count = 0u; - - /* ------------------- - * Stage2 process - * ------------------*/ - - /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. - * So, to loop unroll over blockSize2, - * srcBLen should be greater than or equal to 4 */ - if(srcBLen >= 4u) - { - /* Loop unroll over blockSize2, by 4 */ - blkCnt = blockSize2 >> 2u; - - while(blkCnt > 0u) - { - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* read x[0], x[1], x[2] samples */ - x0 = *px++; - x1 = *px++; - x2 = *px++; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - do - { - /* Read y[0] sample */ - c0 = *py++; - /* Read y[1] sample */ - c1 = *py++; - - /* Read x[3] sample */ - x3 = *px++; - - /* x[0] and x[1] are packed */ - in1 = (q15_t) x0; - in2 = (q15_t) x1; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* y[0] and y[1] are packed */ - in1 = (q15_t) c0; - in2 = (q15_t) c1; - - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc0 += x[0] * y[0] + x[1] * y[1] */ - acc0 = __SMLAD(input1, input2, acc0); - - /* x[1] and x[2] are packed */ - in1 = (q15_t) x1; - in2 = (q15_t) x2; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc1 += x[1] * y[0] + x[2] * y[1] */ - acc1 = __SMLAD(input1, input2, acc1); - - /* x[2] and x[3] are packed */ - in1 = (q15_t) x2; - in2 = (q15_t) x3; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc2 += x[2] * y[0] + x[3] * y[1] */ - acc2 = __SMLAD(input1, input2, acc2); - - /* Read x[4] sample */ - x0 = *(px++); - - /* x[3] and x[4] are packed */ - in1 = (q15_t) x3; - in2 = (q15_t) x0; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc3 += x[3] * y[0] + x[4] * y[1] */ - acc3 = __SMLAD(input1, input2, acc3); - - /* Read y[2] sample */ - c0 = *py++; - /* Read y[3] sample */ - c1 = *py++; - - /* Read x[5] sample */ - x1 = *px++; - - /* x[2] and x[3] are packed */ - in1 = (q15_t) x2; - in2 = (q15_t) x3; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* y[2] and y[3] are packed */ - in1 = (q15_t) c0; - in2 = (q15_t) c1; - - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc0 += x[2] * y[2] + x[3] * y[3] */ - acc0 = __SMLAD(input1, input2, acc0); - - /* x[3] and x[4] are packed */ - in1 = (q15_t) x3; - in2 = (q15_t) x0; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc1 += x[3] * y[2] + x[4] * y[3] */ - acc1 = __SMLAD(input1, input2, acc1); - - /* x[4] and x[5] are packed */ - in1 = (q15_t) x0; - in2 = (q15_t) x1; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc2 += x[4] * y[2] + x[5] * y[3] */ - acc2 = __SMLAD(input1, input2, acc2); - - /* Read x[6] sample */ - x2 = *px++; - - /* x[5] and x[6] are packed */ - in1 = (q15_t) x1; - in2 = (q15_t) x2; - - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* acc3 += x[5] * y[2] + x[6] * y[3] */ - acc3 = __SMLAD(input1, input2, acc3); - - } while(--k); - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Read y[4] sample */ - c0 = *py++; - - /* Read x[7] sample */ - x3 = *px++; - - /* Perform the multiply-accumulates */ - /* acc0 += x[4] * y[4] */ - acc0 += ((q15_t) x0 * c0); - /* acc1 += x[5] * y[4] */ - acc1 += ((q15_t) x1 * c0); - /* acc2 += x[6] * y[4] */ - acc2 += ((q15_t) x2 * c0); - /* acc3 += x[7] * y[4] */ - acc3 += ((q15_t) x3 * c0); - - /* Reuse the present samples for the next MAC */ - x0 = x1; - x1 = x2; - x2 = x3; - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q7_t) (__SSAT(acc0 >> 7, 8)); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - *pOut = (q7_t) (__SSAT(acc1 >> 7, 8)); - pOut += inc; - - *pOut = (q7_t) (__SSAT(acc2 >> 7, 8)); - pOut += inc; - - *pOut = (q7_t) (__SSAT(acc3 >> 7, 8)); - pOut += inc; - - count += 4u; - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize2 % 0x4u; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = srcBLen >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* Reading two inputs of SrcA buffer and packing */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* Reading two inputs of SrcB buffer and packing */ - in1 = (q15_t) * py++; - in2 = (q15_t) * py++; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* Perform the multiply-accumulates */ - sum = __SMLAD(input1, input2, sum); - - /* Reading two inputs of SrcA buffer and packing */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* Reading two inputs of SrcB buffer and packing */ - in1 = (q15_t) * py++; - in2 = (q15_t) * py++; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* Perform the multiply-accumulates */ - sum = __SMLAD(input1, input2, sum); - - /* Decrement the loop counter */ - k--; - } - - /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = srcBLen % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q15_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q7_t) (__SSAT(sum >> 7, 8)); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment the pointer pIn1 index, count by 1 */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - /* Decrement the loop counter */ - blkCnt--; - } - } - else - { - /* If the srcBLen is not a multiple of 4, - * the blockSize2 loop cannot be unrolled by 4 */ - blkCnt = blockSize2; - - while(blkCnt > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Loop over srcBLen */ - k = srcBLen; - - while(k > 0u) - { - /* Perform the multiply-accumulate */ - sum += ((q15_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q7_t) (__SSAT(sum >> 7, 8)); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Increment the MAC count */ - count++; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = pIn1 + count; - py = pIn2; - - - /* Decrement the loop counter */ - blkCnt--; - } - } - - /* -------------------------- - * Initializations of stage3 - * -------------------------*/ - - /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] - * .... - * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] - * sum += x[srcALen-1] * y[0] - */ - - /* In this stage the MAC operations are decreased by 1 for every iteration. - The count variable holds the number of MAC operations performed */ - count = srcBLen - 1u; - - /* Working pointer of inputA */ - pSrc1 = pIn1 + (srcALen - (srcBLen - 1u)); - px = pSrc1; - - /* Working pointer of inputB */ - py = pIn2; - - /* ------------------- - * Stage3 process - * ------------------*/ - - while(blockSize3 > 0u) - { - /* Accumulator is made zero for every iteration */ - sum = 0; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - k = count >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 MACs at a time. - ** a second loop below computes MACs for the remaining 1 to 3 samples. */ - while(k > 0u) - { - /* x[srcALen - srcBLen + 1] , x[srcALen - srcBLen + 2] */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* y[0] , y[1] */ - in1 = (q15_t) * py++; - in2 = (q15_t) * py++; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* sum += x[srcALen - srcBLen + 1] * y[0] */ - /* sum += x[srcALen - srcBLen + 2] * y[1] */ - sum = __SMLAD(input1, input2, sum); - - /* x[srcALen - srcBLen + 3] , x[srcALen - srcBLen + 4] */ - in1 = (q15_t) * px++; - in2 = (q15_t) * px++; - input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* y[2] , y[3] */ - in1 = (q15_t) * py++; - in2 = (q15_t) * py++; - input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); - - /* sum += x[srcALen - srcBLen + 3] * y[2] */ - /* sum += x[srcALen - srcBLen + 4] * y[3] */ - sum = __SMLAD(input1, input2, sum); - - /* Decrement the loop counter */ - k--; - } - - /* If the count is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - k = count % 0x4u; - - while(k > 0u) - { - /* Perform the multiply-accumulates */ - sum += ((q15_t) * px++ * *py++); - - /* Decrement the loop counter */ - k--; - } - - /* Store the result in the accumulator in the destination buffer. */ - *pOut = (q7_t) (__SSAT(sum >> 7, 8)); - /* Destination pointer is updated according to the address modifier, inc */ - pOut += inc; - - /* Update the inputA and inputB pointers for next MAC calculation */ - px = ++pSrc1; - py = pIn2; - - /* Decrement the MAC count */ - count--; - - /* Decrement the loop counter */ - blockSize3--; - } - -#else - -/* Run the below code for Cortex-M0 */ - - q7_t *pIn1 = pSrcA; /* inputA pointer */ - q7_t *pIn2 = pSrcB + (srcBLen - 1u); /* inputB pointer */ - q31_t sum; /* Accumulator */ - uint32_t i = 0u, j; /* loop counters */ - uint32_t inv = 0u; /* Reverse order flag */ - uint32_t tot = 0u; /* Length */ - - /* The algorithm implementation is based on the lengths of the inputs. */ - /* srcB is always made to slide across srcA. */ - /* So srcBLen is always considered as shorter or equal to srcALen */ - /* But CORR(x, y) is reverse of CORR(y, x) */ - /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ - /* and a varaible, inv is set to 1 */ - /* If lengths are not equal then zero pad has to be done to make the two - * inputs of same length. But to improve the performance, we include zeroes - * in the output instead of zero padding either of the the inputs*/ - /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the - * starting of the output buffer */ - /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the - * ending of the output buffer */ - /* Once the zero padding is done the remaining of the output is calcualted - * using convolution but with the shorter signal time shifted. */ - - /* Calculate the length of the remaining sequence */ - tot = ((srcALen + srcBLen) - 2u); - - if(srcALen > srcBLen) - { - /* Calculating the number of zeros to be padded to the output */ - j = srcALen - srcBLen; - - /* Initialise the pointer after zero padding */ - pDst += j; - } - - else if(srcALen < srcBLen) - { - /* Initialization to inputB pointer */ - pIn1 = pSrcB; - - /* Initialization to the end of inputA pointer */ - pIn2 = pSrcA + (srcALen - 1u); - - /* Initialisation of the pointer after zero padding */ - pDst = pDst + tot; - - /* Swapping the lengths */ - j = srcALen; - srcALen = srcBLen; - srcBLen = j; - - /* Setting the reverse flag */ - inv = 1; - - } - - /* Loop to calculate convolution for output length number of times */ - for (i = 0u; i <= tot; i++) - { - /* Initialize sum with zero to carry on MAC operations */ - sum = 0; - - /* Loop to perform MAC operations according to convolution equation */ - for (j = 0u; j <= i; j++) - { - /* Check the array limitations */ - if((((i - j) < srcBLen) && (j < srcALen))) - { - /* z[i] += x[i-j] * y[j] */ - sum += ((q15_t) pIn1[j] * pIn2[-((int32_t) i - j)]); - } - } - /* Store the output in the destination buffer */ - if(inv == 1) - *pDst-- = (q7_t) __SSAT((sum >> 7u), 8u); - else - *pDst++ = (q7_t) __SSAT((sum >> 7u), 8u); - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of Corr group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,524 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_decimate_f32.c -* -* Description: FIR decimation for floating-point sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @defgroup FIR_decimate Finite Impulse Response (FIR) Decimator - * - * These functions combine an FIR filter together with a decimator. - * They are used in multirate systems for reducing the sample rate of a signal without introducing aliasing distortion. - * Conceptually, the functions are equivalent to the block diagram below: - * \image html FIRDecimator.gif "Components included in the FIR Decimator functions" - * When decimating by a factor of <code>M</code>, the signal should be prefiltered by a lowpass filter with a normalized - * cutoff frequency of <code>1/M</code> in order to prevent aliasing distortion. - * The user of the function is responsible for providing the filter coefficients. - * - * The FIR decimator functions provided in the CMSIS DSP Library combine the FIR filter and the decimator in an efficient manner. - * Instead of calculating all of the FIR filter outputs and discarding <code>M-1</code> out of every <code>M</code>, only the - * samples output by the decimator are computed. - * The functions operate on blocks of input and output data. - * <code>pSrc</code> points to an array of <code>blockSize</code> input values and - * <code>pDst</code> points to an array of <code>blockSize/M</code> output values. - * In order to have an integer number of output samples <code>blockSize</code> - * must always be a multiple of the decimation factor <code>M</code>. - * - * The library provides separate functions for Q15, Q31 and floating-point data types. - * - * \par Algorithm: - * The FIR portion of the algorithm uses the standard form filter: - * <pre> - * y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1] - * </pre> - * where, <code>b[n]</code> are the filter coefficients. - * \par - * The <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>. - * Coefficients are stored in time reversed order. - * \par - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * \par - * <code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>. - * Samples in the state buffer are stored in the order: - * \par - * <pre> - * {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]} - * </pre> - * The state variables are updated after each block of data is processed, the coefficients are untouched. - * - * \par Instance Structure - * The coefficients and state variables for a filter are stored together in an instance data structure. - * A separate instance structure must be defined for each filter. - * Coefficient arrays may be shared among several instances while state variable array should be allocated separately. - * There are separate instance structure declarations for each of the 3 supported data types. - * - * \par Initialization Functions - * There is also an associated initialization function for each data type. - * The initialization function performs the following operations: - * - Sets the values of the internal structure fields. - * - Zeros out the values in the state buffer. - * - Checks to make sure that the size of the input is a multiple of the decimation factor. - * To do this manually without calling the init function, assign the follow subfields of the instance structure: - * numTaps, pCoeffs, M (decimation factor), pState. Also set all of the values in pState to zero. - * - * \par - * Use of the initialization function is optional. - * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. - * To place an instance structure into a const data section, the instance structure must be manually initialized. - * The code below statically initializes each of the 3 different data type filter instance structures - * <pre> - *arm_fir_decimate_instance_f32 S = {M, numTaps, pCoeffs, pState}; - *arm_fir_decimate_instance_q31 S = {M, numTaps, pCoeffs, pState}; - *arm_fir_decimate_instance_q15 S = {M, numTaps, pCoeffs, pState}; - * </pre> - * where <code>M</code> is the decimation factor; <code>numTaps</code> is the number of filter coefficients in the filter; - * <code>pCoeffs</code> is the address of the coefficient buffer; - * <code>pState</code> is the address of the state buffer. - * Be sure to set the values in the state buffer to zeros when doing static initialization. - * - * \par Fixed-Point Behavior - * Care must be taken when using the fixed-point versions of the FIR decimate filter functions. - * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. - * Refer to the function specific documentation below for usage guidelines. - */ - -/** - * @addtogroup FIR_decimate - * @{ - */ - - /** - * @brief Processing function for the floating-point FIR decimator. - * @param[in] *S points to an instance of the floating-point FIR decimator structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of input samples to process per call. - * @return none. - */ - -void arm_fir_decimate_f32( - const arm_fir_decimate_instance_f32 * S, - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - float32_t *pState = S->pState; /* State pointer */ - float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - float32_t *pStateCurnt; /* Points to the current sample of the state */ - float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ - float32_t sum0; /* Accumulator */ - float32_t x0, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ - uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ - -#ifndef ARM_MATH_CM0_FAMILY - - uint32_t blkCntN4; - float32_t *px0, *px1, *px2, *px3; - float32_t acc0, acc1, acc2, acc3; - float32_t x1, x2, x3; - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* S->pState buffer contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (numTaps - 1u); - - /* Total number of output samples to be computed */ - blkCnt = outBlockSize / 4; - blkCntN4 = outBlockSize - (4 * blkCnt); - - while(blkCnt > 0u) - { - /* Copy 4 * decimation factor number of new input samples into the state buffer */ - i = 4 * S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /* Set accumulators to zero */ - acc0 = 0.0f; - acc1 = 0.0f; - acc2 = 0.0f; - acc3 = 0.0f; - - /* Initialize state pointer for all the samples */ - px0 = pState; - px1 = pState + S->M; - px2 = pState + 2 * S->M; - px3 = pState + 3 * S->M; - - /* Initialize coeff pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - - while(tapCnt > 0u) - { - /* Read the b[numTaps-1] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-1] sample for acc0 */ - x0 = *(px0++); - /* Read x[n-numTaps-1] sample for acc1 */ - x1 = *(px1++); - /* Read x[n-numTaps-1] sample for acc2 */ - x2 = *(px2++); - /* Read x[n-numTaps-1] sample for acc3 */ - x3 = *(px3++); - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - acc2 += x2 * c0; - acc3 += x3 * c0; - - /* Read the b[numTaps-2] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */ - x0 = *(px0++); - x1 = *(px1++); - x2 = *(px2++); - x3 = *(px3++); - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - acc2 += x2 * c0; - acc3 += x3 * c0; - - /* Read the b[numTaps-3] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */ - x0 = *(px0++); - x1 = *(px1++); - x2 = *(px2++); - x3 = *(px3++); - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - acc2 += x2 * c0; - acc3 += x3 * c0; - - /* Read the b[numTaps-4] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */ - x0 = *(px0++); - x1 = *(px1++); - x2 = *(px2++); - x3 = *(px3++); - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - acc2 += x2 * c0; - acc3 += x3 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *(pb++); - - /* Fetch state variables for acc0, acc1, acc2, acc3 */ - x0 = *(px0++); - x1 = *(px1++); - x2 = *(px2++); - x3 = *(px3++); - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - acc2 += x2 * c0; - acc3 += x3 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + 4 * S->M; - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst++ = acc0; - *pDst++ = acc1; - *pDst++ = acc2; - *pDst++ = acc3; - - /* Decrement the loop counter */ - blkCnt--; - } - - while(blkCntN4 > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /* Set accumulator to zero */ - sum0 = 0.0f; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - while(tapCnt > 0u) - { - /* Read the b[numTaps-1] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-1] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Read the b[numTaps-2] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-2] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Read the b[numTaps-3] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-3] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Read the b[numTaps-4] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-4] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *(pb++); - - /* Fetch 1 state variable */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M; - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst++ = sum0; - - /* Decrement the loop counter */ - blkCntN4--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - i = (numTaps - 1u) >> 2; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } - - i = (numTaps - 1u) % 0x04u; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } - -#else - -/* Run the below code for Cortex-M0 */ - - /* S->pState buffer contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (numTaps - 1u); - - /* Total number of output samples to be computed */ - blkCnt = outBlockSize; - - while(blkCnt > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /* Set accumulator to zero */ - sum0 = 0.0f; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = pCoeffs; - - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *pb++; - - /* Fetch 1 state variable */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M; - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst++ = sum0; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the start of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - /* Copy numTaps number of values */ - i = (numTaps - 1u); - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of FIR_decimate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_fast_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,598 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_decimate_fast_q15.c -* -* Description: Fast Q15 FIR Decimator. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_decimate - * @{ - */ - -/** - * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. - * @param[in] *S points to an instance of the Q15 FIR decimator structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data - * @param[in] blockSize number of input samples to process per call. - * @return none - * - * \par Restrictions - * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE - * In this case input, output, state buffers should be aligned by 32-bit - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * This fast version uses a 32-bit accumulator with 2.30 format. - * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. - * Thus, if the accumulator result overflows it wraps around and distorts the result. - * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (log2 is read as log to the base 2). - * The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result. - * - * \par - * Refer to the function <code>arm_fir_decimate_q15()</code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. - * Both the slow and the fast versions use the same instance structure. - * Use the function <code>arm_fir_decimate_init_q15()</code> to initialize the filter structure. - */ - -#ifndef UNALIGNED_SUPPORT_DISABLE - -void arm_fir_decimate_fast_q15( - const arm_fir_decimate_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *pStateCurnt; /* Points to the current sample of the state */ - q15_t *px; /* Temporary pointer for state buffer */ - q15_t *pb; /* Temporary pointer coefficient buffer */ - q31_t x0, x1, c0, c1; /* Temporary variables to hold state and coefficient values */ - q31_t sum0; /* Accumulators */ - q31_t acc0, acc1; - q15_t *px0, *px1; - uint32_t blkCntN3; - uint32_t numTaps = S->numTaps; /* Number of taps */ - uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ - - - /* S->pState buffer contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (numTaps - 1u); - - - /* Total number of output samples to be computed */ - blkCnt = outBlockSize / 2; - blkCntN3 = outBlockSize - (2 * blkCnt); - - - while(blkCnt > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = 2 * S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /* Set accumulator to zero */ - acc0 = 0; - acc1 = 0; - - /* Initialize state pointer */ - px0 = pState; - - px1 = pState + S->M; - - - /* Initialize coeff pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - while(tapCnt > 0u) - { - /* Read the Read b[numTaps-1] and b[numTaps-2] coefficients */ - c0 = *__SIMD32(pb)++; - - /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */ - x0 = *__SIMD32(px0)++; - - x1 = *__SIMD32(px1)++; - - /* Perform the multiply-accumulate */ - acc0 = __SMLAD(x0, c0, acc0); - - acc1 = __SMLAD(x1, c0, acc1); - - /* Read the b[numTaps-3] and b[numTaps-4] coefficient */ - c0 = *__SIMD32(pb)++; - - /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */ - x0 = *__SIMD32(px0)++; - - x1 = *__SIMD32(px1)++; - - /* Perform the multiply-accumulate */ - acc0 = __SMLAD(x0, c0, acc0); - - acc1 = __SMLAD(x1, c0, acc1); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *pb++; - - /* Fetch 1 state variable */ - x0 = *px0++; - - x1 = *px1++; - - /* Perform the multiply-accumulate */ - acc0 = __SMLAD(x0, c0, acc0); - acc1 = __SMLAD(x1, c0, acc1); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M * 2; - - /* Store filter output, smlad returns the values in 2.14 format */ - /* so downsacle by 15 to get output in 1.15 */ - *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); - *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16)); - - /* Decrement the loop counter */ - blkCnt--; - } - - - - while(blkCntN3 > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /*Set sum to zero */ - sum0 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - while(tapCnt > 0u) - { - /* Read the Read b[numTaps-1] and b[numTaps-2] coefficients */ - c0 = *__SIMD32(pb)++; - - /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */ - x0 = *__SIMD32(px)++; - - /* Read the b[numTaps-3] and b[numTaps-4] coefficient */ - c1 = *__SIMD32(pb)++; - - /* Perform the multiply-accumulate */ - sum0 = __SMLAD(x0, c0, sum0); - - /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */ - x0 = *__SIMD32(px)++; - - /* Perform the multiply-accumulate */ - sum0 = __SMLAD(x0, c1, sum0); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *pb++; - - /* Fetch 1 state variable */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 = __SMLAD(x0, c0, sum0); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M; - - /* Store filter output, smlad returns the values in 2.14 format */ - /* so downsacle by 15 to get output in 1.15 */ - *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); - - /* Decrement the loop counter */ - blkCntN3--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - i = (numTaps - 1u) >> 2u; - - /* copy data */ - while(i > 0u) - { - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; - - /* Decrement the loop counter */ - i--; - } - - i = (numTaps - 1u) % 0x04u; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } -} - -#else - - -void arm_fir_decimate_fast_q15( - const arm_fir_decimate_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *pStateCurnt; /* Points to the current sample of the state */ - q15_t *px; /* Temporary pointer for state buffer */ - q15_t *pb; /* Temporary pointer coefficient buffer */ - q15_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */ - q31_t sum0; /* Accumulators */ - q31_t acc0, acc1; - q15_t *px0, *px1; - uint32_t blkCntN3; - uint32_t numTaps = S->numTaps; /* Number of taps */ - uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ - - - /* S->pState buffer contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (numTaps - 1u); - - - /* Total number of output samples to be computed */ - blkCnt = outBlockSize / 2; - blkCntN3 = outBlockSize - (2 * blkCnt); - - while(blkCnt > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = 2 * S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /* Set accumulator to zero */ - acc0 = 0; - acc1 = 0; - - /* Initialize state pointer */ - px0 = pState; - - px1 = pState + S->M; - - - /* Initialize coeff pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - while(tapCnt > 0u) - { - /* Read the Read b[numTaps-1] coefficients */ - c0 = *pb++; - - /* Read x[n-numTaps-1] for sample 0 and for sample 1 */ - x0 = *px0++; - x1 = *px1++; - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - - /* Read the b[numTaps-2] coefficient */ - c0 = *pb++; - - /* Read x[n-numTaps-2] for sample 0 and sample 1 */ - x0 = *px0++; - x1 = *px1++; - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - - /* Read the b[numTaps-3] coefficients */ - c0 = *pb++; - - /* Read x[n-numTaps-3] for sample 0 and sample 1 */ - x0 = *px0++; - x1 = *px1++; - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - - /* Read the b[numTaps-4] coefficient */ - c0 = *pb++; - - /* Read x[n-numTaps-4] for sample 0 and sample 1 */ - x0 = *px0++; - x1 = *px1++; - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *pb++; - - /* Fetch 1 state variable */ - x0 = *px0++; - x1 = *px1++; - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M * 2; - - /* Store filter output, smlad returns the values in 2.14 format */ - /* so downsacle by 15 to get output in 1.15 */ - - *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); - *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16)); - - - /* Decrement the loop counter */ - blkCnt--; - } - - while(blkCntN3 > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /*Set sum to zero */ - sum0 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - while(tapCnt > 0u) - { - /* Read the Read b[numTaps-1] coefficients */ - c0 = *pb++; - - /* Read x[n-numTaps-1] and sample */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Read the b[numTaps-2] coefficient */ - c0 = *pb++; - - /* Read x[n-numTaps-2] and sample */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Read the b[numTaps-3] coefficients */ - c0 = *pb++; - - /* Read x[n-numTaps-3] sample */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Read the b[numTaps-4] coefficient */ - c0 = *pb++; - - /* Read x[n-numTaps-4] sample */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *pb++; - - /* Fetch 1 state variable */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M; - - /* Store filter output, smlad returns the values in 2.14 format */ - /* so downsacle by 15 to get output in 1.15 */ - *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); - - /* Decrement the loop counter */ - blkCntN3--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - i = (numTaps - 1u) >> 2u; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } - - i = (numTaps - 1u) % 0x04u; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } -} - - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - -/** - * @} end of FIR_decimate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_fast_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,351 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_decimate_fast_q31.c -* -* Description: Fast Q31 FIR Decimator. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_decimate - * @{ - */ - -/** - * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. - * @param[in] *S points to an instance of the Q31 FIR decimator structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data - * @param[in] blockSize number of input samples to process per call. - * @return none - * - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * This function is optimized for speed at the expense of fixed-point precision and overflow protection. - * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. - * These intermediate results are added to a 2.30 accumulator. - * Finally, the accumulator is saturated and converted to a 1.31 result. - * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result. - * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2). - * - * \par - * Refer to the function <code>arm_fir_decimate_q31()</code> for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. - * Both the slow and the fast versions use the same instance structure. - * Use the function <code>arm_fir_decimate_init_q31()</code> to initialize the filter structure. - */ - -void arm_fir_decimate_fast_q31( - arm_fir_decimate_instance_q31 * S, - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t *pState = S->pState; /* State pointer */ - q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q31_t *pStateCurnt; /* Points to the current sample of the state */ - q31_t x0, c0; /* Temporary variables to hold state and coefficient values */ - q31_t *px; /* Temporary pointers for state buffer */ - q31_t *pb; /* Temporary pointers for coefficient buffer */ - q31_t sum0; /* Accumulator */ - uint32_t numTaps = S->numTaps; /* Number of taps */ - uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ - uint32_t blkCntN2; - q31_t x1; - q31_t acc0, acc1; - q31_t *px0, *px1; - - /* S->pState buffer contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (numTaps - 1u); - - /* Total number of output samples to be computed */ - - blkCnt = outBlockSize / 2; - blkCntN2 = outBlockSize - (2 * blkCnt); - - while(blkCnt > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = 2 * S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /* Set accumulator to zero */ - acc0 = 0; - acc1 = 0; - - /* Initialize state pointer */ - px0 = pState; - px1 = pState + S->M; - - /* Initialize coeff pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - while(tapCnt > 0u) - { - /* Read the b[numTaps-1] coefficient */ - c0 = *(pb); - - /* Read x[n-numTaps-1] for sample 0 sample 1 */ - x0 = *(px0); - x1 = *(px1); - - /* Perform the multiply-accumulate */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); - - /* Read the b[numTaps-2] coefficient */ - c0 = *(pb + 1u); - - /* Read x[n-numTaps-2] for sample 0 sample 1 */ - x0 = *(px0 + 1u); - x1 = *(px1 + 1u); - - /* Perform the multiply-accumulate */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); - - /* Read the b[numTaps-3] coefficient */ - c0 = *(pb + 2u); - - /* Read x[n-numTaps-3] for sample 0 sample 1 */ - x0 = *(px0 + 2u); - x1 = *(px1 + 2u); - pb += 4u; - - /* Perform the multiply-accumulate */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); - - /* Read the b[numTaps-4] coefficient */ - c0 = *(pb - 1u); - - /* Read x[n-numTaps-4] for sample 0 sample 1 */ - x0 = *(px0 + 3u); - x1 = *(px1 + 3u); - - - /* Perform the multiply-accumulate */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); - - /* update state pointers */ - px0 += 4u; - px1 += 4u; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *(pb++); - - /* Fetch 1 state variable */ - x0 = *(px0++); - x1 = *(px1++); - - /* Perform the multiply-accumulate */ - acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); - acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M * 2; - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst++ = (q31_t) (acc0 << 1); - *pDst++ = (q31_t) (acc1 << 1); - - /* Decrement the loop counter */ - blkCnt--; - } - - while(blkCntN2 > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /* Set accumulator to zero */ - sum0 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - while(tapCnt > 0u) - { - /* Read the b[numTaps-1] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-1] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32); - - /* Read the b[numTaps-2] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-2] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32); - - /* Read the b[numTaps-3] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-3] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32); - - /* Read the b[numTaps-4] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-4] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *(pb++); - - /* Fetch 1 state variable */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M; - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst++ = (q31_t) (sum0 << 1); - - /* Decrement the loop counter */ - blkCntN2--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - i = (numTaps - 1u) >> 2u; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } - - i = (numTaps - 1u) % 0x04u; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } -} - -/** - * @} end of FIR_decimate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,117 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_decimate_init_f32.c -* -* Description: Floating-point FIR Decimator initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_decimate - * @{ - */ - -/** - * @brief Initialization function for the floating-point FIR decimator. - * @param[in,out] *S points to an instance of the floating-point FIR decimator structure. - * @param[in] numTaps number of coefficients in the filter. - * @param[in] M decimation factor. - * @param[in] *pCoeffs points to the filter coefficients. - * @param[in] *pState points to the state buffer. - * @param[in] blockSize number of input samples to process per call. - * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if - * <code>blockSize</code> is not a multiple of <code>M</code>. - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * \par - * <code>pState</code> points to the array of state variables. - * <code>pState</code> is of length <code>numTaps+blockSize-1</code> words where <code>blockSize</code> is the number of input samples passed to <code>arm_fir_decimate_f32()</code>. - * <code>M</code> is the decimation factor. - */ - -arm_status arm_fir_decimate_init_f32( - arm_fir_decimate_instance_f32 * S, - uint16_t numTaps, - uint8_t M, - float32_t * pCoeffs, - float32_t * pState, - uint32_t blockSize) -{ - arm_status status; - - /* The size of the input block must be a multiple of the decimation factor */ - if((blockSize % M) != 0u) - { - /* Set status as ARM_MATH_LENGTH_ERROR */ - status = ARM_MATH_LENGTH_ERROR; - } - else - { - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always (blockSize + numTaps - 1) */ - memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(float32_t)); - - /* Assign state pointer */ - S->pState = pState; - - /* Assign Decimation Factor */ - S->M = M; - - status = ARM_MATH_SUCCESS; - } - - return (status); - -} - -/** - * @} end of FIR_decimate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,119 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_decimate_init_q15.c -* -* Description: Initialization function for the Q15 FIR Decimator. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_decimate - * @{ - */ - -/** - * @brief Initialization function for the Q15 FIR decimator. - * @param[in,out] *S points to an instance of the Q15 FIR decimator structure. - * @param[in] numTaps number of coefficients in the filter. - * @param[in] M decimation factor. - * @param[in] *pCoeffs points to the filter coefficients. - * @param[in] *pState points to the state buffer. - * @param[in] blockSize number of input samples to process per call. - * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if - * <code>blockSize</code> is not a multiple of <code>M</code>. - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * \par - * <code>pState</code> points to the array of state variables. - * <code>pState</code> is of length <code>numTaps+blockSize-1</code> words where <code>blockSize</code> is the number of input samples - * to the call <code>arm_fir_decimate_q15()</code>. - * <code>M</code> is the decimation factor. - */ - -arm_status arm_fir_decimate_init_q15( - arm_fir_decimate_instance_q15 * S, - uint16_t numTaps, - uint8_t M, - q15_t * pCoeffs, - q15_t * pState, - uint32_t blockSize) -{ - - arm_status status; - - /* The size of the input block must be a multiple of the decimation factor */ - if((blockSize % M) != 0u) - { - /* Set status as ARM_MATH_LENGTH_ERROR */ - status = ARM_MATH_LENGTH_ERROR; - } - else - { - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear the state buffer. The size of buffer is always (blockSize + numTaps - 1) */ - memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t)); - - /* Assign state pointer */ - S->pState = pState; - - /* Assign Decimation factor */ - S->M = M; - - status = ARM_MATH_SUCCESS; - } - - return (status); - -} - -/** - * @} end of FIR_decimate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,117 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_decimate_init_q31.c -* -* Description: Initialization function for Q31 FIR Decimation filter. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_decimate - * @{ - */ - -/** - * @brief Initialization function for the Q31 FIR decimator. - * @param[in,out] *S points to an instance of the Q31 FIR decimator structure. - * @param[in] numTaps number of coefficients in the filter. - * @param[in] M decimation factor. - * @param[in] *pCoeffs points to the filter coefficients. - * @param[in] *pState points to the state buffer. - * @param[in] blockSize number of input samples to process per call. - * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if - * <code>blockSize</code> is not a multiple of <code>M</code>. - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * \par - * <code>pState</code> points to the array of state variables. - * <code>pState</code> is of length <code>numTaps+blockSize-1</code> words where <code>blockSize</code> is the number of input samples passed to <code>arm_fir_decimate_q31()</code>. - * <code>M</code> is the decimation factor. - */ - -arm_status arm_fir_decimate_init_q31( - arm_fir_decimate_instance_q31 * S, - uint16_t numTaps, - uint8_t M, - q31_t * pCoeffs, - q31_t * pState, - uint32_t blockSize) -{ - arm_status status; - - /* The size of the input block must be a multiple of the decimation factor */ - if((blockSize % M) != 0u) - { - /* Set status as ARM_MATH_LENGTH_ERROR */ - status = ARM_MATH_LENGTH_ERROR; - } - else - { - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */ - memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(q31_t)); - - /* Assign state pointer */ - S->pState = pState; - - /* Assign Decimation factor */ - S->M = M; - - status = ARM_MATH_SUCCESS; - } - - return (status); - -} - -/** - * @} end of FIR_decimate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,696 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_decimate_q15.c -* -* Description: Q15 FIR Decimator. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_decimate - * @{ - */ - -/** - * @brief Processing function for the Q15 FIR decimator. - * @param[in] *S points to an instance of the Q15 FIR decimator structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the location where the output result is written. - * @param[in] blockSize number of input samples to process per call. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using a 64-bit internal accumulator. - * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. - * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. - * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. - * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. - * Lastly, the accumulator is saturated to yield a result in 1.15 format. - * - * \par - * Refer to the function <code>arm_fir_decimate_fast_q15()</code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. - */ - -#ifndef ARM_MATH_CM0_FAMILY - -#ifndef UNALIGNED_SUPPORT_DISABLE - -void arm_fir_decimate_q15( - const arm_fir_decimate_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *pStateCurnt; /* Points to the current sample of the state */ - q15_t *px; /* Temporary pointer for state buffer */ - q15_t *pb; /* Temporary pointer coefficient buffer */ - q31_t x0, x1, c0, c1; /* Temporary variables to hold state and coefficient values */ - q63_t sum0; /* Accumulators */ - q63_t acc0, acc1; - q15_t *px0, *px1; - uint32_t blkCntN3; - uint32_t numTaps = S->numTaps; /* Number of taps */ - uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ - - - /* S->pState buffer contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (numTaps - 1u); - - - /* Total number of output samples to be computed */ - blkCnt = outBlockSize / 2; - blkCntN3 = outBlockSize - (2 * blkCnt); - - - while(blkCnt > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = 2 * S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /* Set accumulator to zero */ - acc0 = 0; - acc1 = 0; - - /* Initialize state pointer */ - px0 = pState; - - px1 = pState + S->M; - - - /* Initialize coeff pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - while(tapCnt > 0u) - { - /* Read the Read b[numTaps-1] and b[numTaps-2] coefficients */ - c0 = *__SIMD32(pb)++; - - /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */ - x0 = *__SIMD32(px0)++; - - x1 = *__SIMD32(px1)++; - - /* Perform the multiply-accumulate */ - acc0 = __SMLALD(x0, c0, acc0); - - acc1 = __SMLALD(x1, c0, acc1); - - /* Read the b[numTaps-3] and b[numTaps-4] coefficient */ - c0 = *__SIMD32(pb)++; - - /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */ - x0 = *__SIMD32(px0)++; - - x1 = *__SIMD32(px1)++; - - /* Perform the multiply-accumulate */ - acc0 = __SMLALD(x0, c0, acc0); - - acc1 = __SMLALD(x1, c0, acc1); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *pb++; - - /* Fetch 1 state variable */ - x0 = *px0++; - - x1 = *px1++; - - /* Perform the multiply-accumulate */ - acc0 = __SMLALD(x0, c0, acc0); - acc1 = __SMLALD(x1, c0, acc1); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M * 2; - - /* Store filter output, smlad returns the values in 2.14 format */ - /* so downsacle by 15 to get output in 1.15 */ - *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); - *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16)); - - /* Decrement the loop counter */ - blkCnt--; - } - - - - while(blkCntN3 > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /*Set sum to zero */ - sum0 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - while(tapCnt > 0u) - { - /* Read the Read b[numTaps-1] and b[numTaps-2] coefficients */ - c0 = *__SIMD32(pb)++; - - /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */ - x0 = *__SIMD32(px)++; - - /* Read the b[numTaps-3] and b[numTaps-4] coefficient */ - c1 = *__SIMD32(pb)++; - - /* Perform the multiply-accumulate */ - sum0 = __SMLALD(x0, c0, sum0); - - /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */ - x0 = *__SIMD32(px)++; - - /* Perform the multiply-accumulate */ - sum0 = __SMLALD(x0, c1, sum0); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *pb++; - - /* Fetch 1 state variable */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 = __SMLALD(x0, c0, sum0); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M; - - /* Store filter output, smlad returns the values in 2.14 format */ - /* so downsacle by 15 to get output in 1.15 */ - *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); - - /* Decrement the loop counter */ - blkCntN3--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - i = (numTaps - 1u) >> 2u; - - /* copy data */ - while(i > 0u) - { - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; - - /* Decrement the loop counter */ - i--; - } - - i = (numTaps - 1u) % 0x04u; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } -} - -#else - - -void arm_fir_decimate_q15( - const arm_fir_decimate_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *pStateCurnt; /* Points to the current sample of the state */ - q15_t *px; /* Temporary pointer for state buffer */ - q15_t *pb; /* Temporary pointer coefficient buffer */ - q15_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */ - q63_t sum0; /* Accumulators */ - q63_t acc0, acc1; - q15_t *px0, *px1; - uint32_t blkCntN3; - uint32_t numTaps = S->numTaps; /* Number of taps */ - uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ - - - /* S->pState buffer contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (numTaps - 1u); - - - /* Total number of output samples to be computed */ - blkCnt = outBlockSize / 2; - blkCntN3 = outBlockSize - (2 * blkCnt); - - while(blkCnt > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = 2 * S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /* Set accumulator to zero */ - acc0 = 0; - acc1 = 0; - - /* Initialize state pointer */ - px0 = pState; - - px1 = pState + S->M; - - - /* Initialize coeff pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - while(tapCnt > 0u) - { - /* Read the Read b[numTaps-1] coefficients */ - c0 = *pb++; - - /* Read x[n-numTaps-1] for sample 0 and for sample 1 */ - x0 = *px0++; - x1 = *px1++; - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - - /* Read the b[numTaps-2] coefficient */ - c0 = *pb++; - - /* Read x[n-numTaps-2] for sample 0 and sample 1 */ - x0 = *px0++; - x1 = *px1++; - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - - /* Read the b[numTaps-3] coefficients */ - c0 = *pb++; - - /* Read x[n-numTaps-3] for sample 0 and sample 1 */ - x0 = *px0++; - x1 = *px1++; - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - - /* Read the b[numTaps-4] coefficient */ - c0 = *pb++; - - /* Read x[n-numTaps-4] for sample 0 and sample 1 */ - x0 = *px0++; - x1 = *px1++; - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *pb++; - - /* Fetch 1 state variable */ - x0 = *px0++; - x1 = *px1++; - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M * 2; - - /* Store filter output, smlad returns the values in 2.14 format */ - /* so downsacle by 15 to get output in 1.15 */ - - *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); - *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16)); - - /* Decrement the loop counter */ - blkCnt--; - } - - while(blkCntN3 > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /*Set sum to zero */ - sum0 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - while(tapCnt > 0u) - { - /* Read the Read b[numTaps-1] coefficients */ - c0 = *pb++; - - /* Read x[n-numTaps-1] and sample */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Read the b[numTaps-2] coefficient */ - c0 = *pb++; - - /* Read x[n-numTaps-2] and sample */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Read the b[numTaps-3] coefficients */ - c0 = *pb++; - - /* Read x[n-numTaps-3] sample */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Read the b[numTaps-4] coefficient */ - c0 = *pb++; - - /* Read x[n-numTaps-4] sample */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *pb++; - - /* Fetch 1 state variable */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M; - - /* Store filter output, smlad returns the values in 2.14 format */ - /* so downsacle by 15 to get output in 1.15 */ - *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); - - /* Decrement the loop counter */ - blkCntN3--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - i = (numTaps - 1u) >> 2u; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } - - i = (numTaps - 1u) % 0x04u; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } -} - - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - -#else - - -void arm_fir_decimate_q15( - const arm_fir_decimate_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *pStateCurnt; /* Points to the current sample of the state */ - q15_t *px; /* Temporary pointer for state buffer */ - q15_t *pb; /* Temporary pointer coefficient buffer */ - q31_t x0, c0; /* Temporary variables to hold state and coefficient values */ - q63_t sum0; /* Accumulators */ - uint32_t numTaps = S->numTaps; /* Number of taps */ - uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ - - - -/* Run the below code for Cortex-M0 */ - - /* S->pState buffer contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (numTaps - 1u); - - /* Total number of output samples to be computed */ - blkCnt = outBlockSize; - - while(blkCnt > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /*Set sum to zero */ - sum0 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = pCoeffs; - - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *pb++; - - /* Fetch 1 state variable */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 += (q31_t) x0 *c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M; - - /*Store filter output , smlad will return the values in 2.14 format */ - /* so downsacle by 15 to get output in 1.15 */ - *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the start of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - i = numTaps - 1u; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } - - -} -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - -/** - * @} end of FIR_decimate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_decimate_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,311 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_decimate_q31.c -* -* Description: Q31 FIR Decimator. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_decimate - * @{ - */ - -/** - * @brief Processing function for the Q31 FIR decimator. - * @param[in] *S points to an instance of the Q31 FIR decimator structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data - * @param[in] blockSize number of input samples to process per call. - * @return none - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using an internal 64-bit accumulator. - * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. - * Thus, if the accumulator result overflows it wraps around rather than clip. - * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2). - * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. - * - * \par - * Refer to the function <code>arm_fir_decimate_fast_q31()</code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. - */ - -void arm_fir_decimate_q31( - const arm_fir_decimate_instance_q31 * S, - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t *pState = S->pState; /* State pointer */ - q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q31_t *pStateCurnt; /* Points to the current sample of the state */ - q31_t x0, c0; /* Temporary variables to hold state and coefficient values */ - q31_t *px; /* Temporary pointers for state buffer */ - q31_t *pb; /* Temporary pointers for coefficient buffer */ - q63_t sum0; /* Accumulator */ - uint32_t numTaps = S->numTaps; /* Number of taps */ - uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* S->pState buffer contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (numTaps - 1u); - - /* Total number of output samples to be computed */ - blkCnt = outBlockSize; - - while(blkCnt > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /* Set accumulator to zero */ - sum0 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - while(tapCnt > 0u) - { - /* Read the b[numTaps-1] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-1] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Read the b[numTaps-2] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-2] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Read the b[numTaps-3] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-3] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Read the b[numTaps-4] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-4] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *(pb++); - - /* Fetch 1 state variable */ - x0 = *(px++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M; - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst++ = (q31_t) (sum0 >> 31); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - i = (numTaps - 1u) >> 2u; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } - - i = (numTaps - 1u) % 0x04u; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } - -#else - -/* Run the below code for Cortex-M0 */ - - /* S->pState buffer contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (numTaps - 1u); - - /* Total number of output samples to be computed */ - blkCnt = outBlockSize; - - while(blkCnt > 0u) - { - /* Copy decimation factor number of new input samples into the state buffer */ - i = S->M; - - do - { - *pStateCurnt++ = *pSrc++; - - } while(--i); - - /* Set accumulator to zero */ - sum0 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = pCoeffs; - - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *pb++; - - /* Fetch 1 state variable */ - x0 = *px++; - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by the decimation factor - * to process the next group of decimation factor number samples */ - pState = pState + S->M; - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst++ = (q31_t) (sum0 >> 31); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the start of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - i = numTaps - 1u; - - /* copy data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of FIR_decimate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,651 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_f32.c -* -* Description: Floating-point FIR filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** -* @ingroup groupFilters -*/ - -/** -* @defgroup FIR Finite Impulse Response (FIR) Filters -* -* This set of functions implements Finite Impulse Response (FIR) filters -* for Q7, Q15, Q31, and floating-point data types. Fast versions of Q15 and Q31 are also provided. -* The functions operate on blocks of input and output data and each call to the function processes -* <code>blockSize</code> samples through the filter. <code>pSrc</code> and -* <code>pDst</code> points to input and output arrays containing <code>blockSize</code> values. -* -* \par Algorithm: -* The FIR filter algorithm is based upon a sequence of multiply-accumulate (MAC) operations. -* Each filter coefficient <code>b[n]</code> is multiplied by a state variable which equals a previous input sample <code>x[n]</code>. -* <pre> -* y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1] -* </pre> -* \par -* \image html FIR.gif "Finite Impulse Response filter" -* \par -* <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>. -* Coefficients are stored in time reversed order. -* \par -* <pre> -* {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} -* </pre> -* \par -* <code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>. -* Samples in the state buffer are stored in the following order. -* \par -* <pre> -* {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]} -* </pre> -* \par -* Note that the length of the state buffer exceeds the length of the coefficient array by <code>blockSize-1</code>. -* The increased state buffer length allows circular addressing, which is traditionally used in the FIR filters, -* to be avoided and yields a significant speed improvement. -* The state variables are updated after each block of data is processed; the coefficients are untouched. -* \par Instance Structure -* The coefficients and state variables for a filter are stored together in an instance data structure. -* A separate instance structure must be defined for each filter. -* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. -* There are separate instance structure declarations for each of the 4 supported data types. -* -* \par Initialization Functions -* There is also an associated initialization function for each data type. -* The initialization function performs the following operations: -* - Sets the values of the internal structure fields. -* - Zeros out the values in the state buffer. -* To do this manually without calling the init function, assign the follow subfields of the instance structure: -* numTaps, pCoeffs, pState. Also set all of the values in pState to zero. -* -* \par -* Use of the initialization function is optional. -* However, if the initialization function is used, then the instance structure cannot be placed into a const data section. -* To place an instance structure into a const data section, the instance structure must be manually initialized. -* Set the values in the state buffer to zeros before static initialization. -* The code below statically initializes each of the 4 different data type filter instance structures -* <pre> -*arm_fir_instance_f32 S = {numTaps, pState, pCoeffs}; -*arm_fir_instance_q31 S = {numTaps, pState, pCoeffs}; -*arm_fir_instance_q15 S = {numTaps, pState, pCoeffs}; -*arm_fir_instance_q7 S = {numTaps, pState, pCoeffs}; -* </pre> -* -* where <code>numTaps</code> is the number of filter coefficients in the filter; <code>pState</code> is the address of the state buffer; -* <code>pCoeffs</code> is the address of the coefficient buffer. -* -* \par Fixed-Point Behavior -* Care must be taken when using the fixed-point versions of the FIR filter functions. -* In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. -* Refer to the function specific documentation below for usage guidelines. -*/ - -/** -* @addtogroup FIR -* @{ -*/ - -/** -* -* @param[in] *S points to an instance of the floating-point FIR filter structure. -* @param[in] *pSrc points to the block of input data. -* @param[out] *pDst points to the block of output data. -* @param[in] blockSize number of samples to process per call. -* @return none. -* -*/ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - -void arm_fir_f32( -const arm_fir_instance_f32 * S, -float32_t * pSrc, -float32_t * pDst, -uint32_t blockSize) -{ - float32_t *pState = S->pState; /* State pointer */ - float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - float32_t *pStateCurnt; /* Points to the current sample of the state */ - float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ - float32_t acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7; /* Accumulators */ - float32_t x0, x1, x2, x3, x4, x5, x6, x7, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ - uint32_t i, tapCnt, blkCnt; /* Loop counters */ - float32_t p0,p1,p2,p3,p4,p5,p6,p7; /* Temporary product values */ - - /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Apply loop unrolling and compute 8 output values simultaneously. - * The variables acc0 ... acc7 hold output values that are being computed: - * - * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] - * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] - * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] - * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] - */ - blkCnt = blockSize >> 3; - - /* First part of the processing with loop unrolling. Compute 8 outputs at a time. - ** a second loop below computes the remaining 1 to 7 samples. */ - while(blkCnt > 0u) - { - /* Copy four new input samples into the state buffer */ - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - - /* Set all accumulators to zero */ - acc0 = 0.0f; - acc1 = 0.0f; - acc2 = 0.0f; - acc3 = 0.0f; - acc4 = 0.0f; - acc5 = 0.0f; - acc6 = 0.0f; - acc7 = 0.0f; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = (pCoeffs); - - /* This is separated from the others to avoid - * a call to __aeabi_memmove which would be slower - */ - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - - /* Read the first seven samples from the state buffer: x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */ - x0 = *px++; - x1 = *px++; - x2 = *px++; - x3 = *px++; - x4 = *px++; - x5 = *px++; - x6 = *px++; - - /* Loop unrolling. Process 8 taps at a time. */ - tapCnt = numTaps >> 3u; - - /* Loop over the number of taps. Unroll by a factor of 8. - ** Repeat until we've computed numTaps-8 coefficients. */ - while(tapCnt > 0u) - { - /* Read the b[numTaps-1] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-3] sample */ - x7 = *(px++); - - /* acc0 += b[numTaps-1] * x[n-numTaps] */ - p0 = x0 * c0; - - /* acc1 += b[numTaps-1] * x[n-numTaps-1] */ - p1 = x1 * c0; - - /* acc2 += b[numTaps-1] * x[n-numTaps-2] */ - p2 = x2 * c0; - - /* acc3 += b[numTaps-1] * x[n-numTaps-3] */ - p3 = x3 * c0; - - /* acc4 += b[numTaps-1] * x[n-numTaps-4] */ - p4 = x4 * c0; - - /* acc1 += b[numTaps-1] * x[n-numTaps-5] */ - p5 = x5 * c0; - - /* acc2 += b[numTaps-1] * x[n-numTaps-6] */ - p6 = x6 * c0; - - /* acc3 += b[numTaps-1] * x[n-numTaps-7] */ - p7 = x7 * c0; - - /* Read the b[numTaps-2] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-4] sample */ - x0 = *(px++); - - acc0 += p0; - acc1 += p1; - acc2 += p2; - acc3 += p3; - acc4 += p4; - acc5 += p5; - acc6 += p6; - acc7 += p7; - - - /* Perform the multiply-accumulate */ - p0 = x1 * c0; - p1 = x2 * c0; - p2 = x3 * c0; - p3 = x4 * c0; - p4 = x5 * c0; - p5 = x6 * c0; - p6 = x7 * c0; - p7 = x0 * c0; - - /* Read the b[numTaps-3] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-5] sample */ - x1 = *(px++); - - acc0 += p0; - acc1 += p1; - acc2 += p2; - acc3 += p3; - acc4 += p4; - acc5 += p5; - acc6 += p6; - acc7 += p7; - - /* Perform the multiply-accumulates */ - p0 = x2 * c0; - p1 = x3 * c0; - p2 = x4 * c0; - p3 = x5 * c0; - p4 = x6 * c0; - p5 = x7 * c0; - p6 = x0 * c0; - p7 = x1 * c0; - - /* Read the b[numTaps-4] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-6] sample */ - x2 = *(px++); - - acc0 += p0; - acc1 += p1; - acc2 += p2; - acc3 += p3; - acc4 += p4; - acc5 += p5; - acc6 += p6; - acc7 += p7; - - /* Perform the multiply-accumulates */ - p0 = x3 * c0; - p1 = x4 * c0; - p2 = x5 * c0; - p3 = x6 * c0; - p4 = x7 * c0; - p5 = x0 * c0; - p6 = x1 * c0; - p7 = x2 * c0; - - /* Read the b[numTaps-4] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-6] sample */ - x3 = *(px++); - - acc0 += p0; - acc1 += p1; - acc2 += p2; - acc3 += p3; - acc4 += p4; - acc5 += p5; - acc6 += p6; - acc7 += p7; - - /* Perform the multiply-accumulates */ - p0 = x4 * c0; - p1 = x5 * c0; - p2 = x6 * c0; - p3 = x7 * c0; - p4 = x0 * c0; - p5 = x1 * c0; - p6 = x2 * c0; - p7 = x3 * c0; - - /* Read the b[numTaps-4] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-6] sample */ - x4 = *(px++); - - acc0 += p0; - acc1 += p1; - acc2 += p2; - acc3 += p3; - acc4 += p4; - acc5 += p5; - acc6 += p6; - acc7 += p7; - - /* Perform the multiply-accumulates */ - p0 = x5 * c0; - p1 = x6 * c0; - p2 = x7 * c0; - p3 = x0 * c0; - p4 = x1 * c0; - p5 = x2 * c0; - p6 = x3 * c0; - p7 = x4 * c0; - - /* Read the b[numTaps-4] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-6] sample */ - x5 = *(px++); - - acc0 += p0; - acc1 += p1; - acc2 += p2; - acc3 += p3; - acc4 += p4; - acc5 += p5; - acc6 += p6; - acc7 += p7; - - /* Perform the multiply-accumulates */ - p0 = x6 * c0; - p1 = x7 * c0; - p2 = x0 * c0; - p3 = x1 * c0; - p4 = x2 * c0; - p5 = x3 * c0; - p6 = x4 * c0; - p7 = x5 * c0; - - /* Read the b[numTaps-4] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-6] sample */ - x6 = *(px++); - - acc0 += p0; - acc1 += p1; - acc2 += p2; - acc3 += p3; - acc4 += p4; - acc5 += p5; - acc6 += p6; - acc7 += p7; - - /* Perform the multiply-accumulates */ - p0 = x7 * c0; - p1 = x0 * c0; - p2 = x1 * c0; - p3 = x2 * c0; - p4 = x3 * c0; - p5 = x4 * c0; - p6 = x5 * c0; - p7 = x6 * c0; - - tapCnt--; - - acc0 += p0; - acc1 += p1; - acc2 += p2; - acc3 += p3; - acc4 += p4; - acc5 += p5; - acc6 += p6; - acc7 += p7; - } - - /* If the filter length is not a multiple of 8, compute the remaining filter taps */ - tapCnt = numTaps % 0x8u; - - while(tapCnt > 0u) - { - /* Read coefficients */ - c0 = *(pb++); - - /* Fetch 1 state variable */ - x7 = *(px++); - - /* Perform the multiply-accumulates */ - p0 = x0 * c0; - p1 = x1 * c0; - p2 = x2 * c0; - p3 = x3 * c0; - p4 = x4 * c0; - p5 = x5 * c0; - p6 = x6 * c0; - p7 = x7 * c0; - - /* Reuse the present sample states for next sample */ - x0 = x1; - x1 = x2; - x2 = x3; - x3 = x4; - x4 = x5; - x5 = x6; - x6 = x7; - - acc0 += p0; - acc1 += p1; - acc2 += p2; - acc3 += p3; - acc4 += p4; - acc5 += p5; - acc6 += p6; - acc7 += p7; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance the state pointer by 8 to process the next group of 8 samples */ - pState = pState + 8; - - /* The results in the 8 accumulators, store in the destination buffer. */ - *pDst++ = acc0; - *pDst++ = acc1; - *pDst++ = acc2; - *pDst++ = acc3; - *pDst++ = acc4; - *pDst++ = acc5; - *pDst++ = acc6; - *pDst++ = acc7; - - blkCnt--; - } - - /* If the blockSize is not a multiple of 8, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x8u; - - while(blkCnt > 0u) - { - /* Copy one sample at a time into state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Set the accumulator to zero */ - acc0 = 0.0f; - - /* Initialize state pointer */ - px = pState; - - /* Initialize Coefficient pointer */ - pb = (pCoeffs); - - i = numTaps; - - /* Perform the multiply-accumulates */ - do - { - acc0 += *px++ * *pb++; - i--; - - } while(i > 0u); - - /* The result is store in the destination buffer. */ - *pDst++ = acc0; - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the start of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - tapCnt = (numTaps - 1u) >> 2u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Calculate remaining number of copies */ - tapCnt = (numTaps - 1u) % 0x4u; - - /* Copy the remaining q31_t data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } -} - -#else - -void arm_fir_f32( -const arm_fir_instance_f32 * S, -float32_t * pSrc, -float32_t * pDst, -uint32_t blockSize) -{ - float32_t *pState = S->pState; /* State pointer */ - float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - float32_t *pStateCurnt; /* Points to the current sample of the state */ - float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ - uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ - uint32_t i, tapCnt, blkCnt; /* Loop counters */ - - /* Run the below code for Cortex-M0 */ - - float32_t acc; - - /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Initialize blkCnt with blockSize */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* Copy one sample at a time into state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Set the accumulator to zero */ - acc = 0.0f; - - /* Initialize state pointer */ - px = pState; - - /* Initialize Coefficient pointer */ - pb = pCoeffs; - - i = numTaps; - - /* Perform the multiply-accumulates */ - do - { - /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ - acc += *px++ * *pb++; - i--; - - } while(i > 0u); - - /* The result is store in the destination buffer. */ - *pDst++ = acc; - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the starting of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - /* Copy numTaps number of values */ - tapCnt = numTaps - 1u; - - /* Copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -} - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -/** -* @} end of FIR group -*/
--- a/cmsis_dsp/FilteringFunctions/arm_fir_fast_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,345 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_fast_q15.c -* -* Description: Q15 Fast FIR filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR - * @{ - */ - -/** - * @param[in] *S points to an instance of the Q15 FIR filter structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of samples to process per call. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * This fast version uses a 32-bit accumulator with 2.30 format. - * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. - * Thus, if the accumulator result overflows it wraps around and distorts the result. - * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. - * The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result. - * - * \par - * Refer to the function <code>arm_fir_q15()</code> for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure. - * Use the function <code>arm_fir_init_q15()</code> to initialize the filter structure. - */ - -void arm_fir_fast_q15( - const arm_fir_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *pStateCurnt; /* Points to the current sample of the state */ - q31_t acc0, acc1, acc2, acc3; /* Accumulators */ - q15_t *pb; /* Temporary pointer for coefficient buffer */ - q15_t *px; /* Temporary q31 pointer for SIMD state buffer accesses */ - q31_t x0, x1, x2, c0; /* Temporary variables to hold SIMD state and coefficient values */ - uint32_t numTaps = S->numTaps; /* Number of taps in the filter */ - uint32_t tapCnt, blkCnt; /* Loop counters */ - - - /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Apply loop unrolling and compute 4 output values simultaneously. - * The variables acc0 ... acc3 hold output values that are being computed: - * - * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] - * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] - * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] - * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] - */ - - blkCnt = blockSize >> 2; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Copy four new input samples into the state buffer. - ** Use 32-bit SIMD to move the 16-bit data. Only requires two copies. */ - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - - - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */ - px = pState; - - /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */ - pb = pCoeffs; - - /* Read the first two samples from the state buffer: x[n-N], x[n-N-1] */ - x0 = *__SIMD32(px)++; - - /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */ - x2 = *__SIMD32(px)++; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-(numTaps%4) coefficients. */ - tapCnt = numTaps >> 2; - - while(tapCnt > 0) - { - /* Read the first two coefficients using SIMD: b[N] and b[N-1] coefficients */ - c0 = *__SIMD32(pb)++; - - /* acc0 += b[N] * x[n-N] + b[N-1] * x[n-N-1] */ - acc0 = __SMLAD(x0, c0, acc0); - - /* acc2 += b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */ - acc2 = __SMLAD(x2, c0, acc2); - - /* pack x[n-N-1] and x[n-N-2] */ -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(x2, x0, 0); -#else - x1 = __PKHBT(x0, x2, 0); -#endif - - /* Read state x[n-N-4], x[n-N-5] */ - x0 = _SIMD32_OFFSET(px); - - /* acc1 += b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */ - acc1 = __SMLADX(x1, c0, acc1); - - /* pack x[n-N-3] and x[n-N-4] */ -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(x0, x2, 0); -#else - x1 = __PKHBT(x2, x0, 0); -#endif - - /* acc3 += b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */ - acc3 = __SMLADX(x1, c0, acc3); - - /* Read coefficients b[N-2], b[N-3] */ - c0 = *__SIMD32(pb)++; - - /* acc0 += b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */ - acc0 = __SMLAD(x2, c0, acc0); - - /* Read state x[n-N-6], x[n-N-7] with offset */ - x2 = _SIMD32_OFFSET(px + 2u); - - /* acc2 += b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */ - acc2 = __SMLAD(x0, c0, acc2); - - /* acc1 += b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */ - acc1 = __SMLADX(x1, c0, acc1); - - /* pack x[n-N-5] and x[n-N-6] */ -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(x2, x0, 0); -#else - x1 = __PKHBT(x0, x2, 0); -#endif - - /* acc3 += b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */ - acc3 = __SMLADX(x1, c0, acc3); - - /* Update state pointer for next state reading */ - px += 4u; - - /* Decrement tap count */ - tapCnt--; - - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps. - ** This is always be 2 taps since the filter length is even. */ - if((numTaps & 0x3u) != 0u) - { - - /* Read last two coefficients */ - c0 = *__SIMD32(pb)++; - - /* Perform the multiply-accumulates */ - acc0 = __SMLAD(x0, c0, acc0); - acc2 = __SMLAD(x2, c0, acc2); - - /* pack state variables */ -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(x2, x0, 0); -#else - x1 = __PKHBT(x0, x2, 0); -#endif - - /* Read last state variables */ - x0 = *__SIMD32(px); - - /* Perform the multiply-accumulates */ - acc1 = __SMLADX(x1, c0, acc1); - - /* pack state variables */ -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(x0, x2, 0); -#else - x1 = __PKHBT(x2, x0, 0); -#endif - - /* Perform the multiply-accumulates */ - acc3 = __SMLADX(x1, c0, acc3); - } - - /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation. - ** Then store the 4 outputs in the destination buffer. */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = - __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); - - *__SIMD32(pDst)++ = - __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); - -#else - - *__SIMD32(pDst)++ = - __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); - - *__SIMD32(pDst)++ = - __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); - - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Advance the state pointer by 4 to process the next group of 4 samples */ - pState = pState + 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - while(blkCnt > 0u) - { - /* Copy two samples into state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Set the accumulator to zero */ - acc0 = 0; - - /* Use SIMD to hold states and coefficients */ - px = pState; - pb = pCoeffs; - - tapCnt = numTaps >> 1u; - - do - { - - acc0 += (q31_t) * px++ * *pb++; - acc0 += (q31_t) * px++ * *pb++; - - tapCnt--; - } - while(tapCnt > 0u); - - /* The result is in 2.30 format. Convert to 1.15 with saturation. - ** Then store the output in the destination buffer. */ - *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - /* Calculation of count for copying integer writes */ - tapCnt = (numTaps - 1u) >> 2; - - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - tapCnt--; - - } - - /* Calculation of count for remaining q15_t data */ - tapCnt = (numTaps - 1u) % 0x4u; - - /* copy remaining data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -} - -/** - * @} end of FIR group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_fast_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,299 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_fast_q31.c -* -* Description: Processing function for the Q31 Fast FIR filter. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR - * @{ - */ - -/** - * @param[in] *S points to an instance of the Q31 structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block output data. - * @param[in] blockSize number of samples to process per call. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * This function is optimized for speed at the expense of fixed-point precision and overflow protection. - * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. - * These intermediate results are added to a 2.30 accumulator. - * Finally, the accumulator is saturated and converted to a 1.31 result. - * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result. - * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. - * - * \par - * Refer to the function <code>arm_fir_q31()</code> for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. Both the slow and the fast versions use the same instance structure. - * Use the function <code>arm_fir_init_q31()</code> to initialize the filter structure. - */ - -IAR_ONLY_LOW_OPTIMIZATION_ENTER -void arm_fir_fast_q31( - const arm_fir_instance_q31 * S, - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t *pState = S->pState; /* State pointer */ - q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q31_t *pStateCurnt; /* Points to the current sample of the state */ - q31_t x0, x1, x2, x3; /* Temporary variables to hold state */ - q31_t c0; /* Temporary variable to hold coefficient value */ - q31_t *px; /* Temporary pointer for state */ - q31_t *pb; /* Temporary pointer for coefficient buffer */ - q31_t acc0, acc1, acc2, acc3; /* Accumulators */ - uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ - uint32_t i, tapCnt, blkCnt; /* Loop counters */ - - /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Apply loop unrolling and compute 4 output values simultaneously. - * The variables acc0 ... acc3 hold output values that are being computed: - * - * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] - * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] - * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] - * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] - */ - blkCnt = blockSize >> 2; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Copy four new input samples into the state buffer */ - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coefficient pointer */ - pb = pCoeffs; - - /* Read the first three samples from the state buffer: - * x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */ - x0 = *(px++); - x1 = *(px++); - x2 = *(px++); - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - i = tapCnt; - - while(i > 0u) - { - /* Read the b[numTaps] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-3] sample */ - x3 = *(px++); - - /* acc0 += b[numTaps] * x[n-numTaps] */ - multAcc_32x32_keep32_R(acc0, x0, c0); - - /* acc1 += b[numTaps] * x[n-numTaps-1] */ - multAcc_32x32_keep32_R(acc1, x1, c0); - - /* acc2 += b[numTaps] * x[n-numTaps-2] */ - multAcc_32x32_keep32_R(acc2, x2, c0); - - /* acc3 += b[numTaps] * x[n-numTaps-3] */ - multAcc_32x32_keep32_R(acc3, x3, c0); - - /* Read the b[numTaps-1] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-4] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulates */ - multAcc_32x32_keep32_R(acc0, x1, c0); - multAcc_32x32_keep32_R(acc1, x2, c0); - multAcc_32x32_keep32_R(acc2, x3, c0); - multAcc_32x32_keep32_R(acc3, x0, c0); - - /* Read the b[numTaps-2] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-5] sample */ - x1 = *(px++); - - /* Perform the multiply-accumulates */ - multAcc_32x32_keep32_R(acc0, x2, c0); - multAcc_32x32_keep32_R(acc1, x3, c0); - multAcc_32x32_keep32_R(acc2, x0, c0); - multAcc_32x32_keep32_R(acc3, x1, c0); - - /* Read the b[numTaps-3] coefficients */ - c0 = *(pb++); - - /* Read x[n-numTaps-6] sample */ - x2 = *(px++); - - /* Perform the multiply-accumulates */ - multAcc_32x32_keep32_R(acc0, x3, c0); - multAcc_32x32_keep32_R(acc1, x0, c0); - multAcc_32x32_keep32_R(acc2, x1, c0); - multAcc_32x32_keep32_R(acc3, x2, c0); - i--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - - i = numTaps - (tapCnt * 4u); - while(i > 0u) - { - /* Read coefficients */ - c0 = *(pb++); - - /* Fetch 1 state variable */ - x3 = *(px++); - - /* Perform the multiply-accumulates */ - multAcc_32x32_keep32_R(acc0, x0, c0); - multAcc_32x32_keep32_R(acc1, x1, c0); - multAcc_32x32_keep32_R(acc2, x2, c0); - multAcc_32x32_keep32_R(acc3, x3, c0); - - /* Reuse the present sample states for next sample */ - x0 = x1; - x1 = x2; - x2 = x3; - - /* Decrement the loop counter */ - i--; - } - - /* Advance the state pointer by 4 to process the next group of 4 samples */ - pState = pState + 4; - - /* The results in the 4 accumulators are in 2.30 format. Convert to 1.31 - ** Then store the 4 outputs in the destination buffer. */ - *pDst++ = (q31_t) (acc0 << 1); - *pDst++ = (q31_t) (acc1 << 1); - *pDst++ = (q31_t) (acc2 << 1); - *pDst++ = (q31_t) (acc3 << 1); - - /* Decrement the samples loop counter */ - blkCnt--; - } - - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 4u; - - while(blkCnt > 0u) - { - /* Copy one sample at a time into state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Set the accumulator to zero */ - acc0 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize Coefficient pointer */ - pb = (pCoeffs); - - i = numTaps; - - /* Perform the multiply-accumulates */ - do - { - multAcc_32x32_keep32_R(acc0, (*px++), (*(pb++))); - i--; - } while(i > 0u); - - /* The result is in 2.30 format. Convert to 1.31 - ** Then store the output in the destination buffer. */ - *pDst++ = (q31_t) (acc0 << 1); - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - /* Decrement the samples loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the start of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - /* Calculate remaining number of copies */ - tapCnt = (numTaps - 1u); - - /* Copy the remaining q31_t data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - - -} -IAR_ONLY_LOW_OPTIMIZATION_EXIT -/** - * @} end of FIR group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,96 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_init_f32.c -* -* Description: Floating-point FIR filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR - * @{ - */ - -/** - * @details - * - * @param[in,out] *S points to an instance of the floating-point FIR filter structure. - * @param[in] numTaps Number of filter coefficients in the filter. - * @param[in] *pCoeffs points to the filter coefficients buffer. - * @param[in] *pState points to the state buffer. - * @param[in] blockSize number of samples that are processed per call. - * @return none. - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * \par - * <code>pState</code> points to the array of state variables. - * <code>pState</code> is of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_f32()</code>. - */ - -void arm_fir_init_f32( - arm_fir_instance_f32 * S, - uint16_t numTaps, - float32_t * pCoeffs, - float32_t * pState, - uint32_t blockSize) -{ - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and the size of state buffer is (blockSize + numTaps - 1) */ - memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(float32_t)); - - /* Assign state pointer */ - S->pState = pState; - -} - -/** - * @} end of FIR group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,154 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_init_q15.c -* -* Description: Q15 FIR filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR - * @{ - */ - -/** - * @param[in,out] *S points to an instance of the Q15 FIR filter structure. - * @param[in] numTaps Number of filter coefficients in the filter. Must be even and greater than or equal to 4. - * @param[in] *pCoeffs points to the filter coefficients buffer. - * @param[in] *pState points to the state buffer. - * @param[in] blockSize is number of samples processed per call. - * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if - * <code>numTaps</code> is not greater than or equal to 4 and even. - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * Note that <code>numTaps</code> must be even and greater than or equal to 4. - * To implement an odd length filter simply increase <code>numTaps</code> by 1 and set the last coefficient to zero. - * For example, to implement a filter with <code>numTaps=3</code> and coefficients - * <pre> - * {0.3, -0.8, 0.3} - * </pre> - * set <code>numTaps=4</code> and use the coefficients: - * <pre> - * {0.3, -0.8, 0.3, 0}. - * </pre> - * Similarly, to implement a two point filter - * <pre> - * {0.3, -0.3} - * </pre> - * set <code>numTaps=4</code> and use the coefficients: - * <pre> - * {0.3, -0.3, 0, 0}. - * </pre> - * \par - * <code>pState</code> points to the array of state variables. - * <code>pState</code> is of length <code>numTaps+blockSize</code>, when running on Cortex-M4 and Cortex-M3 and is of length <code>numTaps+blockSize-1</code>, when running on Cortex-M0 where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_q15()</code>. - */ - -arm_status arm_fir_init_q15( - arm_fir_instance_q15 * S, - uint16_t numTaps, - q15_t * pCoeffs, - q15_t * pState, - uint32_t blockSize) -{ - arm_status status; - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* The Number of filter coefficients in the filter must be even and at least 4 */ - if(numTaps & 0x1u) - { - status = ARM_MATH_ARGUMENT_ERROR; - } - else - { - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear the state buffer. The size is always (blockSize + numTaps ) */ - memset(pState, 0, (numTaps + (blockSize)) * sizeof(q15_t)); - - /* Assign state pointer */ - S->pState = pState; - - status = ARM_MATH_SUCCESS; - } - - return (status); - -#else - - /* Run the below code for Cortex-M0 */ - - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */ - memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t)); - - /* Assign state pointer */ - S->pState = pState; - - status = ARM_MATH_SUCCESS; - - return (status); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of FIR group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,96 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_init_q31.c -* -* Description: Q31 FIR filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR - * @{ - */ - -/** - * @details - * - * @param[in,out] *S points to an instance of the Q31 FIR filter structure. - * @param[in] numTaps Number of filter coefficients in the filter. - * @param[in] *pCoeffs points to the filter coefficients buffer. - * @param[in] *pState points to the state buffer. - * @param[in] blockSize number of samples that are processed per call. - * @return none. - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * \par - * <code>pState</code> points to the array of state variables. - * <code>pState</code> is of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_q31()</code>. - */ - -void arm_fir_init_q31( - arm_fir_instance_q31 * S, - uint16_t numTaps, - q31_t * pCoeffs, - q31_t * pState, - uint32_t blockSize) -{ - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and state array size is (blockSize + numTaps - 1) */ - memset(pState, 0, (blockSize + ((uint32_t) numTaps - 1u)) * sizeof(q31_t)); - - /* Assign state pointer */ - S->pState = pState; - -} - -/** - * @} end of FIR group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_init_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,94 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_init_q7.c -* -* Description: Q7 FIR filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR - * @{ - */ -/** - * @param[in,out] *S points to an instance of the Q7 FIR filter structure. - * @param[in] numTaps Number of filter coefficients in the filter. - * @param[in] *pCoeffs points to the filter coefficients buffer. - * @param[in] *pState points to the state buffer. - * @param[in] blockSize number of samples that are processed per call. - * @return none - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * \par - * <code>pState</code> points to the array of state variables. - * <code>pState</code> is of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_q7()</code>. - */ - -void arm_fir_init_q7( - arm_fir_instance_q7 * S, - uint16_t numTaps, - q7_t * pCoeffs, - q7_t * pState, - uint32_t blockSize) -{ - - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */ - memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q7_t)); - - /* Assign state pointer */ - S->pState = pState; - -} - -/** - * @} end of FIR group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,581 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_interpolate_f32.c -* -* Description: FIR interpolation for floating-point sequences. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @defgroup FIR_Interpolate Finite Impulse Response (FIR) Interpolator - * - * These functions combine an upsampler (zero stuffer) and an FIR filter. - * They are used in multirate systems for increasing the sample rate of a signal without introducing high frequency images. - * Conceptually, the functions are equivalent to the block diagram below: - * \image html FIRInterpolator.gif "Components included in the FIR Interpolator functions" - * After upsampling by a factor of <code>L</code>, the signal should be filtered by a lowpass filter with a normalized - * cutoff frequency of <code>1/L</code> in order to eliminate high frequency copies of the spectrum. - * The user of the function is responsible for providing the filter coefficients. - * - * The FIR interpolator functions provided in the CMSIS DSP Library combine the upsampler and FIR filter in an efficient manner. - * The upsampler inserts <code>L-1</code> zeros between each sample. - * Instead of multiplying by these zero values, the FIR filter is designed to skip them. - * This leads to an efficient implementation without any wasted effort. - * The functions operate on blocks of input and output data. - * <code>pSrc</code> points to an array of <code>blockSize</code> input values and - * <code>pDst</code> points to an array of <code>blockSize*L</code> output values. - * - * The library provides separate functions for Q15, Q31, and floating-point data types. - * - * \par Algorithm: - * The functions use a polyphase filter structure: - * <pre> - * y[n] = b[0] * x[n] + b[L] * x[n-1] + ... + b[L*(phaseLength-1)] * x[n-phaseLength+1] - * y[n+1] = b[1] * x[n] + b[L+1] * x[n-1] + ... + b[L*(phaseLength-1)+1] * x[n-phaseLength+1] - * ... - * y[n+(L-1)] = b[L-1] * x[n] + b[2*L-1] * x[n-1] + ....+ b[L*(phaseLength-1)+(L-1)] * x[n-phaseLength+1] - * </pre> - * This approach is more efficient than straightforward upsample-then-filter algorithms. - * With this method the computation is reduced by a factor of <code>1/L</code> when compared to using a standard FIR filter. - * \par - * <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>. - * <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code> and this is checked by the - * initialization functions. - * Internally, the function divides the FIR filter's impulse response into shorter filters of length - * <code>phaseLength=numTaps/L</code>. - * Coefficients are stored in time reversed order. - * \par - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * \par - * <code>pState</code> points to a state array of size <code>blockSize + phaseLength - 1</code>. - * Samples in the state buffer are stored in the order: - * \par - * <pre> - * {x[n-phaseLength+1], x[n-phaseLength], x[n-phaseLength-1], x[n-phaseLength-2]....x[0], x[1], ..., x[blockSize-1]} - * </pre> - * The state variables are updated after each block of data is processed, the coefficients are untouched. - * - * \par Instance Structure - * The coefficients and state variables for a filter are stored together in an instance data structure. - * A separate instance structure must be defined for each filter. - * Coefficient arrays may be shared among several instances while state variable array should be allocated separately. - * There are separate instance structure declarations for each of the 3 supported data types. - * - * \par Initialization Functions - * There is also an associated initialization function for each data type. - * The initialization function performs the following operations: - * - Sets the values of the internal structure fields. - * - Zeros out the values in the state buffer. - * - Checks to make sure that the length of the filter is a multiple of the interpolation factor. - * To do this manually without calling the init function, assign the follow subfields of the instance structure: - * L (interpolation factor), pCoeffs, phaseLength (numTaps / L), pState. Also set all of the values in pState to zero. - * - * \par - * Use of the initialization function is optional. - * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. - * To place an instance structure into a const data section, the instance structure must be manually initialized. - * The code below statically initializes each of the 3 different data type filter instance structures - * <pre> - * arm_fir_interpolate_instance_f32 S = {L, phaseLength, pCoeffs, pState}; - * arm_fir_interpolate_instance_q31 S = {L, phaseLength, pCoeffs, pState}; - * arm_fir_interpolate_instance_q15 S = {L, phaseLength, pCoeffs, pState}; - * </pre> - * where <code>L</code> is the interpolation factor; <code>phaseLength=numTaps/L</code> is the - * length of each of the shorter FIR filters used internally, - * <code>pCoeffs</code> is the address of the coefficient buffer; - * <code>pState</code> is the address of the state buffer. - * Be sure to set the values in the state buffer to zeros when doing static initialization. - * - * \par Fixed-Point Behavior - * Care must be taken when using the fixed-point versions of the FIR interpolate filter functions. - * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. - * Refer to the function specific documentation below for usage guidelines. - */ - -/** - * @addtogroup FIR_Interpolate - * @{ - */ - -/** - * @brief Processing function for the floating-point FIR interpolator. - * @param[in] *S points to an instance of the floating-point FIR interpolator structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of input samples to process per call. - * @return none. - */ -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - -void arm_fir_interpolate_f32( - const arm_fir_interpolate_instance_f32 * S, - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - float32_t *pState = S->pState; /* State pointer */ - float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - float32_t *pStateCurnt; /* Points to the current sample of the state */ - float32_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ - float32_t sum0; /* Accumulators */ - float32_t x0, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t i, blkCnt, j; /* Loop counters */ - uint16_t phaseLen = S->phaseLength, tapCnt; /* Length of each polyphase filter component */ - float32_t acc0, acc1, acc2, acc3; - float32_t x1, x2, x3; - uint32_t blkCntN4; - float32_t c1, c2, c3; - - /* S->pState buffer contains previous frame (phaseLen - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (phaseLen - 1u); - - /* Initialise blkCnt */ - blkCnt = blockSize / 4; - blkCntN4 = blockSize - (4 * blkCnt); - - /* Samples loop unrolled by 4 */ - while(blkCnt > 0u) - { - /* Copy new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - - /* Address modifier index of coefficient buffer */ - j = 1u; - - /* Loop over the Interpolation factor. */ - i = (S->L); - - while(i > 0u) - { - /* Set accumulator to zero */ - acc0 = 0.0f; - acc1 = 0.0f; - acc2 = 0.0f; - acc3 = 0.0f; - - /* Initialize state pointer */ - ptr1 = pState; - - /* Initialize coefficient pointer */ - ptr2 = pCoeffs + (S->L - j); - - /* Loop over the polyPhase length. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ - tapCnt = phaseLen >> 2u; - - x0 = *(ptr1++); - x1 = *(ptr1++); - x2 = *(ptr1++); - - while(tapCnt > 0u) - { - - /* Read the input sample */ - x3 = *(ptr1++); - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - acc2 += x2 * c0; - acc3 += x3 * c0; - - /* Read the coefficient */ - c1 = *(ptr2 + S->L); - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - acc0 += x1 * c1; - acc1 += x2 * c1; - acc2 += x3 * c1; - acc3 += x0 * c1; - - /* Read the coefficient */ - c2 = *(ptr2 + S->L * 2); - - /* Read the input sample */ - x1 = *(ptr1++); - - /* Perform the multiply-accumulate */ - acc0 += x2 * c2; - acc1 += x3 * c2; - acc2 += x0 * c2; - acc3 += x1 * c2; - - /* Read the coefficient */ - c3 = *(ptr2 + S->L * 3); - - /* Read the input sample */ - x2 = *(ptr1++); - - /* Perform the multiply-accumulate */ - acc0 += x3 * c3; - acc1 += x0 * c3; - acc2 += x1 * c3; - acc3 += x2 * c3; - - - /* Upsampling is done by stuffing L-1 zeros between each sample. - * So instead of multiplying zeros with coefficients, - * Increment the coefficient pointer by interpolation factor times. */ - ptr2 += 4 * S->L; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = phaseLen % 0x4u; - - while(tapCnt > 0u) - { - - /* Read the input sample */ - x3 = *(ptr1++); - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Perform the multiply-accumulate */ - acc0 += x0 * c0; - acc1 += x1 * c0; - acc2 += x2 * c0; - acc3 += x3 * c0; - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* update states for next sample processing */ - x0 = x1; - x1 = x2; - x2 = x3; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst = acc0; - *(pDst + S->L) = acc1; - *(pDst + 2 * S->L) = acc2; - *(pDst + 3 * S->L) = acc3; - - pDst++; - - /* Increment the address modifier index of coefficient buffer */ - j++; - - /* Decrement the loop counter */ - i--; - } - - /* Advance the state pointer by 1 - * to process the next group of interpolation factor number samples */ - pState = pState + 4; - - pDst += S->L * 3; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - - while(blkCntN4 > 0u) - { - /* Copy new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Address modifier index of coefficient buffer */ - j = 1u; - - /* Loop over the Interpolation factor. */ - i = S->L; - while(i > 0u) - { - /* Set accumulator to zero */ - sum0 = 0.0f; - - /* Initialize state pointer */ - ptr1 = pState; - - /* Initialize coefficient pointer */ - ptr2 = pCoeffs + (S->L - j); - - /* Loop over the polyPhase length. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ - tapCnt = phaseLen >> 2u; - while(tapCnt > 0u) - { - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Upsampling is done by stuffing L-1 zeros between each sample. - * So instead of multiplying zeros with coefficients, - * Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += x0 * c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = phaseLen % 0x4u; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - sum0 += *(ptr1++) * (*ptr2); - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst++ = sum0; - - /* Increment the address modifier index of coefficient buffer */ - j++; - - /* Decrement the loop counter */ - i--; - } - - /* Advance the state pointer by 1 - * to process the next group of interpolation factor number samples */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCntN4--; - } - - /* Processing is complete. - ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - tapCnt = (phaseLen - 1u) >> 2u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (phaseLen - 1u) % 0x04u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } -} - -#else - - /* Run the below code for Cortex-M0 */ - -void arm_fir_interpolate_f32( - const arm_fir_interpolate_instance_f32 * S, - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - float32_t *pState = S->pState; /* State pointer */ - float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - float32_t *pStateCurnt; /* Points to the current sample of the state */ - float32_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ - - - float32_t sum; /* Accumulator */ - uint32_t i, blkCnt; /* Loop counters */ - uint16_t phaseLen = S->phaseLength, tapCnt; /* Length of each polyphase filter component */ - - - /* S->pState buffer contains previous frame (phaseLen - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (phaseLen - 1u); - - /* Total number of intput samples */ - blkCnt = blockSize; - - /* Loop over the blockSize. */ - while(blkCnt > 0u) - { - /* Copy new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Loop over the Interpolation factor. */ - i = S->L; - - while(i > 0u) - { - /* Set accumulator to zero */ - sum = 0.0f; - - /* Initialize state pointer */ - ptr1 = pState; - - /* Initialize coefficient pointer */ - ptr2 = pCoeffs + (i - 1u); - - /* Loop over the polyPhase length */ - tapCnt = phaseLen; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - sum += *ptr1++ * *ptr2; - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst++ = sum; - - /* Decrement the loop counter */ - i--; - } - - /* Advance the state pointer by 1 - * to process the next group of interpolation factor number samples */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last phaseLen - 1 samples to the start of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - tapCnt = phaseLen - 1u; - - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -} - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - - /** - * @} end of FIR_Interpolate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,121 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_interpolate_init_f32.c -* -* Description: Floating-point FIR interpolator initialization function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Interpolate - * @{ - */ - -/** - * @brief Initialization function for the floating-point FIR interpolator. - * @param[in,out] *S points to an instance of the floating-point FIR interpolator structure. - * @param[in] L upsample factor. - * @param[in] numTaps number of filter coefficients in the filter. - * @param[in] *pCoeffs points to the filter coefficient buffer. - * @param[in] *pState points to the state buffer. - * @param[in] blockSize number of input samples to process per call. - * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if - * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>. - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]} - * </pre> - * The length of the filter <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code>. - * \par - * <code>pState</code> points to the array of state variables. - * <code>pState</code> is of length <code>(numTaps/L)+blockSize-1</code> words - * where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_interpolate_f32()</code>. - */ - -arm_status arm_fir_interpolate_init_f32( - arm_fir_interpolate_instance_f32 * S, - uint8_t L, - uint16_t numTaps, - float32_t * pCoeffs, - float32_t * pState, - uint32_t blockSize) -{ - arm_status status; - - /* The filter length must be a multiple of the interpolation factor */ - if((numTaps % L) != 0u) - { - /* Set status as ARM_MATH_LENGTH_ERROR */ - status = ARM_MATH_LENGTH_ERROR; - } - else - { - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Assign Interpolation factor */ - S->L = L; - - /* Assign polyPhaseLength */ - S->phaseLength = numTaps / L; - - /* Clear state buffer and size of state array is always phaseLength + blockSize - 1 */ - memset(pState, 0, - (blockSize + - ((uint32_t) S->phaseLength - 1u)) * sizeof(float32_t)); - - /* Assign state pointer */ - S->pState = pState; - - status = ARM_MATH_SUCCESS; - } - - return (status); - -} - - /** - * @} end of FIR_Interpolate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,120 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_interpolate_init_q15.c -* -* Description: Q15 FIR interpolator initialization function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Interpolate - * @{ - */ - -/** - * @brief Initialization function for the Q15 FIR interpolator. - * @param[in,out] *S points to an instance of the Q15 FIR interpolator structure. - * @param[in] L upsample factor. - * @param[in] numTaps number of filter coefficients in the filter. - * @param[in] *pCoeffs points to the filter coefficient buffer. - * @param[in] *pState points to the state buffer. - * @param[in] blockSize number of input samples to process per call. - * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if - * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>. - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]} - * </pre> - * The length of the filter <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code>. - * \par - * <code>pState</code> points to the array of state variables. - * <code>pState</code> is of length <code>(numTaps/L)+blockSize-1</code> words - * where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_interpolate_q15()</code>. - */ - -arm_status arm_fir_interpolate_init_q15( - arm_fir_interpolate_instance_q15 * S, - uint8_t L, - uint16_t numTaps, - q15_t * pCoeffs, - q15_t * pState, - uint32_t blockSize) -{ - arm_status status; - - /* The filter length must be a multiple of the interpolation factor */ - if((numTaps % L) != 0u) - { - /* Set status as ARM_MATH_LENGTH_ERROR */ - status = ARM_MATH_LENGTH_ERROR; - } - else - { - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Assign Interpolation factor */ - S->L = L; - - /* Assign polyPhaseLength */ - S->phaseLength = numTaps / L; - - /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */ - memset(pState, 0, - (blockSize + ((uint32_t) S->phaseLength - 1u)) * sizeof(q15_t)); - - /* Assign state pointer */ - S->pState = pState; - - status = ARM_MATH_SUCCESS; - } - - return (status); - -} - - /** - * @} end of FIR_Interpolate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,121 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_interpolate_init_q31.c -* -* Description: Q31 FIR interpolator initialization function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Interpolate - * @{ - */ - - -/** - * @brief Initialization function for the Q31 FIR interpolator. - * @param[in,out] *S points to an instance of the Q31 FIR interpolator structure. - * @param[in] L upsample factor. - * @param[in] numTaps number of filter coefficients in the filter. - * @param[in] *pCoeffs points to the filter coefficient buffer. - * @param[in] *pState points to the state buffer. - * @param[in] blockSize number of input samples to process per call. - * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if - * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>. - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]} - * </pre> - * The length of the filter <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code>. - * \par - * <code>pState</code> points to the array of state variables. - * <code>pState</code> is of length <code>(numTaps/L)+blockSize-1</code> words - * where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_interpolate_q31()</code>. - */ - -arm_status arm_fir_interpolate_init_q31( - arm_fir_interpolate_instance_q31 * S, - uint8_t L, - uint16_t numTaps, - q31_t * pCoeffs, - q31_t * pState, - uint32_t blockSize) -{ - arm_status status; - - /* The filter length must be a multiple of the interpolation factor */ - if((numTaps % L) != 0u) - { - /* Set status as ARM_MATH_LENGTH_ERROR */ - status = ARM_MATH_LENGTH_ERROR; - } - else - { - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Assign Interpolation factor */ - S->L = L; - - /* Assign polyPhaseLength */ - S->phaseLength = numTaps / L; - - /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */ - memset(pState, 0, - (blockSize + ((uint32_t) S->phaseLength - 1u)) * sizeof(q31_t)); - - /* Assign state pointer */ - S->pState = pState; - - status = ARM_MATH_SUCCESS; - } - - return (status); - -} - - /** - * @} end of FIR_Interpolate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,508 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_interpolate_q15.c -* -* Description: Q15 FIR interpolation. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Interpolate - * @{ - */ - -/** - * @brief Processing function for the Q15 FIR interpolator. - * @param[in] *S points to an instance of the Q15 FIR interpolator structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of input samples to process per call. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using a 64-bit internal accumulator. - * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. - * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. - * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. - * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. - * Lastly, the accumulator is saturated to yield a result in 1.15 format. - */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - -void arm_fir_interpolate_q15( - const arm_fir_interpolate_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *pStateCurnt; /* Points to the current sample of the state */ - q15_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ - q63_t sum0; /* Accumulators */ - q15_t x0, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t i, blkCnt, j, tapCnt; /* Loop counters */ - uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ - uint32_t blkCntN2; - q63_t acc0, acc1; - q15_t x1; - - /* S->pState buffer contains previous frame (phaseLen - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + ((q31_t) phaseLen - 1); - - /* Initialise blkCnt */ - blkCnt = blockSize / 2; - blkCntN2 = blockSize - (2 * blkCnt); - - /* Samples loop unrolled by 2 */ - while(blkCnt > 0u) - { - /* Copy new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - - /* Address modifier index of coefficient buffer */ - j = 1u; - - /* Loop over the Interpolation factor. */ - i = (S->L); - - while(i > 0u) - { - /* Set accumulator to zero */ - acc0 = 0; - acc1 = 0; - - /* Initialize state pointer */ - ptr1 = pState; - - /* Initialize coefficient pointer */ - ptr2 = pCoeffs + (S->L - j); - - /* Loop over the polyPhase length. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ - tapCnt = phaseLen >> 2u; - - x0 = *(ptr1++); - - while(tapCnt > 0u) - { - - /* Read the input sample */ - x1 = *(ptr1++); - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Perform the multiply-accumulate */ - acc0 += (q63_t) x0 *c0; - acc1 += (q63_t) x1 *c0; - - - /* Read the coefficient */ - c0 = *(ptr2 + S->L); - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - acc0 += (q63_t) x1 *c0; - acc1 += (q63_t) x0 *c0; - - - /* Read the coefficient */ - c0 = *(ptr2 + S->L * 2); - - /* Read the input sample */ - x1 = *(ptr1++); - - /* Perform the multiply-accumulate */ - acc0 += (q63_t) x0 *c0; - acc1 += (q63_t) x1 *c0; - - /* Read the coefficient */ - c0 = *(ptr2 + S->L * 3); - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - acc0 += (q63_t) x1 *c0; - acc1 += (q63_t) x0 *c0; - - - /* Upsampling is done by stuffing L-1 zeros between each sample. - * So instead of multiplying zeros with coefficients, - * Increment the coefficient pointer by interpolation factor times. */ - ptr2 += 4 * S->L; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = phaseLen % 0x4u; - - while(tapCnt > 0u) - { - - /* Read the input sample */ - x1 = *(ptr1++); - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Perform the multiply-accumulate */ - acc0 += (q63_t) x0 *c0; - acc1 += (q63_t) x1 *c0; - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* update states for next sample processing */ - x0 = x1; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst = (q15_t) (__SSAT((acc0 >> 15), 16)); - *(pDst + S->L) = (q15_t) (__SSAT((acc1 >> 15), 16)); - - pDst++; - - /* Increment the address modifier index of coefficient buffer */ - j++; - - /* Decrement the loop counter */ - i--; - } - - /* Advance the state pointer by 1 - * to process the next group of interpolation factor number samples */ - pState = pState + 2; - - pDst += S->L; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 2, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blkCntN2; - - /* Loop over the blockSize. */ - while(blkCnt > 0u) - { - /* Copy new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Address modifier index of coefficient buffer */ - j = 1u; - - /* Loop over the Interpolation factor. */ - i = S->L; - while(i > 0u) - { - /* Set accumulator to zero */ - sum0 = 0; - - /* Initialize state pointer */ - ptr1 = pState; - - /* Initialize coefficient pointer */ - ptr2 = pCoeffs + (S->L - j); - - /* Loop over the polyPhase length. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ - tapCnt = phaseLen >> 2; - while(tapCnt > 0u) - { - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Upsampling is done by stuffing L-1 zeros between each sample. - * So instead of multiplying zeros with coefficients, - * Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = phaseLen & 0x3u; - - while(tapCnt > 0u) - { - /* Read the coefficient */ - c0 = *(ptr2); - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); - - j++; - - /* Decrement the loop counter */ - i--; - } - - /* Advance the state pointer by 1 - * to process the next group of interpolation factor number samples */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCnt--; - } - - - /* Processing is complete. - ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - i = ((uint32_t) phaseLen - 1u) >> 2u; - - /* copy data */ - while(i > 0u) - { -#ifndef UNALIGNED_SUPPORT_DISABLE - - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; - -#else - - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* Decrement the loop counter */ - i--; - } - - i = ((uint32_t) phaseLen - 1u) % 0x04u; - - while(i > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } -} - -#else - - /* Run the below code for Cortex-M0 */ - -void arm_fir_interpolate_q15( - const arm_fir_interpolate_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *pStateCurnt; /* Points to the current sample of the state */ - q15_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ - q63_t sum; /* Accumulator */ - q15_t x0, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t i, blkCnt, tapCnt; /* Loop counters */ - uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ - - - /* S->pState buffer contains previous frame (phaseLen - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (phaseLen - 1u); - - /* Total number of intput samples */ - blkCnt = blockSize; - - /* Loop over the blockSize. */ - while(blkCnt > 0u) - { - /* Copy new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Loop over the Interpolation factor. */ - i = S->L; - - while(i > 0u) - { - /* Set accumulator to zero */ - sum = 0; - - /* Initialize state pointer */ - ptr1 = pState; - - /* Initialize coefficient pointer */ - ptr2 = pCoeffs + (i - 1u); - - /* Loop over the polyPhase length */ - tapCnt = (uint32_t) phaseLen; - - while(tapCnt > 0u) - { - /* Read the coefficient */ - c0 = *ptr2; - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *ptr1++; - - /* Perform the multiply-accumulate */ - sum += ((q31_t) x0 * c0); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Store the result after converting to 1.15 format in the destination buffer */ - *pDst++ = (q15_t) (__SSAT((sum >> 15), 16)); - - /* Decrement the loop counter */ - i--; - } - - /* Advance the state pointer by 1 - * to process the next group of interpolation factor number samples */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last phaseLen - 1 samples to the start of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - i = (uint32_t) phaseLen - 1u; - - while(i > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - i--; - } - -} - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - /** - * @} end of FIR_Interpolate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_interpolate_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,504 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_interpolate_q31.c -* -* Description: Q31 FIR interpolation. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Interpolate - * @{ - */ - -/** - * @brief Processing function for the Q31 FIR interpolator. - * @param[in] *S points to an instance of the Q31 FIR interpolator structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of input samples to process per call. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using an internal 64-bit accumulator. - * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. - * Thus, if the accumulator result overflows it wraps around rather than clip. - * In order to avoid overflows completely the input signal must be scaled down by <code>1/(numTaps/L)</code>. - * since <code>numTaps/L</code> additions occur per output sample. - * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. - */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - -void arm_fir_interpolate_q31( - const arm_fir_interpolate_instance_q31 * S, - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t *pState = S->pState; /* State pointer */ - q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q31_t *pStateCurnt; /* Points to the current sample of the state */ - q31_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ - q63_t sum0; /* Accumulators */ - q31_t x0, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t i, blkCnt, j; /* Loop counters */ - uint16_t phaseLen = S->phaseLength, tapCnt; /* Length of each polyphase filter component */ - - uint32_t blkCntN2; - q63_t acc0, acc1; - q31_t x1; - - /* S->pState buffer contains previous frame (phaseLen - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + ((q31_t) phaseLen - 1); - - /* Initialise blkCnt */ - blkCnt = blockSize / 2; - blkCntN2 = blockSize - (2 * blkCnt); - - /* Samples loop unrolled by 2 */ - while(blkCnt > 0u) - { - /* Copy new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - - /* Address modifier index of coefficient buffer */ - j = 1u; - - /* Loop over the Interpolation factor. */ - i = (S->L); - - while(i > 0u) - { - /* Set accumulator to zero */ - acc0 = 0; - acc1 = 0; - - /* Initialize state pointer */ - ptr1 = pState; - - /* Initialize coefficient pointer */ - ptr2 = pCoeffs + (S->L - j); - - /* Loop over the polyPhase length. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ - tapCnt = phaseLen >> 2u; - - x0 = *(ptr1++); - - while(tapCnt > 0u) - { - - /* Read the input sample */ - x1 = *(ptr1++); - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Perform the multiply-accumulate */ - acc0 += (q63_t) x0 *c0; - acc1 += (q63_t) x1 *c0; - - - /* Read the coefficient */ - c0 = *(ptr2 + S->L); - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - acc0 += (q63_t) x1 *c0; - acc1 += (q63_t) x0 *c0; - - - /* Read the coefficient */ - c0 = *(ptr2 + S->L * 2); - - /* Read the input sample */ - x1 = *(ptr1++); - - /* Perform the multiply-accumulate */ - acc0 += (q63_t) x0 *c0; - acc1 += (q63_t) x1 *c0; - - /* Read the coefficient */ - c0 = *(ptr2 + S->L * 3); - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - acc0 += (q63_t) x1 *c0; - acc1 += (q63_t) x0 *c0; - - - /* Upsampling is done by stuffing L-1 zeros between each sample. - * So instead of multiplying zeros with coefficients, - * Increment the coefficient pointer by interpolation factor times. */ - ptr2 += 4 * S->L; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = phaseLen % 0x4u; - - while(tapCnt > 0u) - { - - /* Read the input sample */ - x1 = *(ptr1++); - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Perform the multiply-accumulate */ - acc0 += (q63_t) x0 *c0; - acc1 += (q63_t) x1 *c0; - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* update states for next sample processing */ - x0 = x1; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst = (q31_t) (acc0 >> 31); - *(pDst + S->L) = (q31_t) (acc1 >> 31); - - - pDst++; - - /* Increment the address modifier index of coefficient buffer */ - j++; - - /* Decrement the loop counter */ - i--; - } - - /* Advance the state pointer by 1 - * to process the next group of interpolation factor number samples */ - pState = pState + 2; - - pDst += S->L; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 2, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blkCntN2; - - /* Loop over the blockSize. */ - while(blkCnt > 0u) - { - /* Copy new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Address modifier index of coefficient buffer */ - j = 1u; - - /* Loop over the Interpolation factor. */ - i = S->L; - while(i > 0u) - { - /* Set accumulator to zero */ - sum0 = 0; - - /* Initialize state pointer */ - ptr1 = pState; - - /* Initialize coefficient pointer */ - ptr2 = pCoeffs + (S->L - j); - - /* Loop over the polyPhase length. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ - tapCnt = phaseLen >> 2; - while(tapCnt > 0u) - { - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Upsampling is done by stuffing L-1 zeros between each sample. - * So instead of multiplying zeros with coefficients, - * Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Read the coefficient */ - c0 = *(ptr2); - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = phaseLen & 0x3u; - - while(tapCnt > 0u) - { - /* Read the coefficient */ - c0 = *(ptr2); - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *(ptr1++); - - /* Perform the multiply-accumulate */ - sum0 += (q63_t) x0 *c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst++ = (q31_t) (sum0 >> 31); - - /* Increment the address modifier index of coefficient buffer */ - j++; - - /* Decrement the loop counter */ - i--; - } - - /* Advance the state pointer by 1 - * to process the next group of interpolation factor number samples */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - tapCnt = (phaseLen - 1u) >> 2u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - - tapCnt = (phaseLen - 1u) % 0x04u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -} - - -#else - -void arm_fir_interpolate_q31( - const arm_fir_interpolate_instance_q31 * S, - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t *pState = S->pState; /* State pointer */ - q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q31_t *pStateCurnt; /* Points to the current sample of the state */ - q31_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ - - /* Run the below code for Cortex-M0 */ - - q63_t sum; /* Accumulator */ - q31_t x0, c0; /* Temporary variables to hold state and coefficient values */ - uint32_t i, blkCnt; /* Loop counters */ - uint16_t phaseLen = S->phaseLength, tapCnt; /* Length of each polyphase filter component */ - - - /* S->pState buffer contains previous frame (phaseLen - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + ((q31_t) phaseLen - 1); - - /* Total number of intput samples */ - blkCnt = blockSize; - - /* Loop over the blockSize. */ - while(blkCnt > 0u) - { - /* Copy new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Loop over the Interpolation factor. */ - i = S->L; - - while(i > 0u) - { - /* Set accumulator to zero */ - sum = 0; - - /* Initialize state pointer */ - ptr1 = pState; - - /* Initialize coefficient pointer */ - ptr2 = pCoeffs + (i - 1u); - - tapCnt = phaseLen; - - while(tapCnt > 0u) - { - /* Read the coefficient */ - c0 = *(ptr2); - - /* Increment the coefficient pointer by interpolation factor times. */ - ptr2 += S->L; - - /* Read the input sample */ - x0 = *ptr1++; - - /* Perform the multiply-accumulate */ - sum += (q63_t) x0 *c0; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* The result is in the accumulator, store in the destination buffer. */ - *pDst++ = (q31_t) (sum >> 31); - - /* Decrement the loop counter */ - i--; - } - - /* Advance the state pointer by 1 - * to process the next group of interpolation factor number samples */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - tapCnt = phaseLen - 1u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -} - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /** - * @} end of FIR_Interpolate group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_lattice_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,506 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_lattice_f32.c -* -* Description: Processing function for the floating-point FIR Lattice filter. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @defgroup FIR_Lattice Finite Impulse Response (FIR) Lattice Filters - * - * This set of functions implements Finite Impulse Response (FIR) lattice filters - * for Q15, Q31 and floating-point data types. Lattice filters are used in a - * variety of adaptive filter applications. The filter structure is feedforward and - * the net impulse response is finite length. - * The functions operate on blocks - * of input and output data and each call to the function processes - * <code>blockSize</code> samples through the filter. <code>pSrc</code> and - * <code>pDst</code> point to input and output arrays containing <code>blockSize</code> values. - * - * \par Algorithm: - * \image html FIRLattice.gif "Finite Impulse Response Lattice filter" - * The following difference equation is implemented: - * <pre> - * f0[n] = g0[n] = x[n] - * fm[n] = fm-1[n] + km * gm-1[n-1] for m = 1, 2, ...M - * gm[n] = km * fm-1[n] + gm-1[n-1] for m = 1, 2, ...M - * y[n] = fM[n] - * </pre> - * \par - * <code>pCoeffs</code> points to tha array of reflection coefficients of size <code>numStages</code>. - * Reflection Coefficients are stored in the following order. - * \par - * <pre> - * {k1, k2, ..., kM} - * </pre> - * where M is number of stages - * \par - * <code>pState</code> points to a state array of size <code>numStages</code>. - * The state variables (g values) hold previous inputs and are stored in the following order. - * <pre> - * {g0[n], g1[n], g2[n] ...gM-1[n]} - * </pre> - * The state variables are updated after each block of data is processed; the coefficients are untouched. - * \par Instance Structure - * The coefficients and state variables for a filter are stored together in an instance data structure. - * A separate instance structure must be defined for each filter. - * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. - * There are separate instance structure declarations for each of the 3 supported data types. - * - * \par Initialization Functions - * There is also an associated initialization function for each data type. - * The initialization function performs the following operations: - * - Sets the values of the internal structure fields. - * - Zeros out the values in the state buffer. - * To do this manually without calling the init function, assign the follow subfields of the instance structure: - * numStages, pCoeffs, pState. Also set all of the values in pState to zero. - * - * \par - * Use of the initialization function is optional. - * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. - * To place an instance structure into a const data section, the instance structure must be manually initialized. - * Set the values in the state buffer to zeros and then manually initialize the instance structure as follows: - * <pre> - *arm_fir_lattice_instance_f32 S = {numStages, pState, pCoeffs}; - *arm_fir_lattice_instance_q31 S = {numStages, pState, pCoeffs}; - *arm_fir_lattice_instance_q15 S = {numStages, pState, pCoeffs}; - * </pre> - * \par - * where <code>numStages</code> is the number of stages in the filter; <code>pState</code> is the address of the state buffer; - * <code>pCoeffs</code> is the address of the coefficient buffer. - * \par Fixed-Point Behavior - * Care must be taken when using the fixed-point versions of the FIR Lattice filter functions. - * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. - * Refer to the function specific documentation below for usage guidelines. - */ - -/** - * @addtogroup FIR_Lattice - * @{ - */ - - - /** - * @brief Processing function for the floating-point FIR lattice filter. - * @param[in] *S points to an instance of the floating-point FIR lattice structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data - * @param[in] blockSize number of samples to process. - * @return none. - */ - -void arm_fir_lattice_f32( - const arm_fir_lattice_instance_f32 * S, - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - float32_t *pState; /* State pointer */ - float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - float32_t *px; /* temporary state pointer */ - float32_t *pk; /* temporary coefficient pointer */ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - float32_t fcurr1, fnext1, gcurr1, gnext1; /* temporary variables for first sample in loop unrolling */ - float32_t fcurr2, fnext2, gnext2; /* temporary variables for second sample in loop unrolling */ - float32_t fcurr3, fnext3, gnext3; /* temporary variables for third sample in loop unrolling */ - float32_t fcurr4, fnext4, gnext4; /* temporary variables for fourth sample in loop unrolling */ - uint32_t numStages = S->numStages; /* Number of stages in the filter */ - uint32_t blkCnt, stageCnt; /* temporary variables for counts */ - - gcurr1 = 0.0f; - pState = &S->pState[0]; - - blkCnt = blockSize >> 2; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - - /* Read two samples from input buffer */ - /* f0(n) = x(n) */ - fcurr1 = *pSrc++; - fcurr2 = *pSrc++; - - /* Initialize coeff pointer */ - pk = (pCoeffs); - - /* Initialize state pointer */ - px = pState; - - /* Read g0(n-1) from state */ - gcurr1 = *px; - - /* Process first sample for first tap */ - /* f1(n) = f0(n) + K1 * g0(n-1) */ - fnext1 = fcurr1 + ((*pk) * gcurr1); - /* g1(n) = f0(n) * K1 + g0(n-1) */ - gnext1 = (fcurr1 * (*pk)) + gcurr1; - - /* Process second sample for first tap */ - /* for sample 2 processing */ - fnext2 = fcurr2 + ((*pk) * fcurr1); - gnext2 = (fcurr2 * (*pk)) + fcurr1; - - /* Read next two samples from input buffer */ - /* f0(n+2) = x(n+2) */ - fcurr3 = *pSrc++; - fcurr4 = *pSrc++; - - /* Copy only last input samples into the state buffer - which will be used for next four samples processing */ - *px++ = fcurr4; - - /* Process third sample for first tap */ - fnext3 = fcurr3 + ((*pk) * fcurr2); - gnext3 = (fcurr3 * (*pk)) + fcurr2; - - /* Process fourth sample for first tap */ - fnext4 = fcurr4 + ((*pk) * fcurr3); - gnext4 = (fcurr4 * (*pk++)) + fcurr3; - - /* Update of f values for next coefficient set processing */ - fcurr1 = fnext1; - fcurr2 = fnext2; - fcurr3 = fnext3; - fcurr4 = fnext4; - - /* Loop unrolling. Process 4 taps at a time . */ - stageCnt = (numStages - 1u) >> 2u; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numStages-3 coefficients. */ - - /* Process 2nd, 3rd, 4th and 5th taps ... here */ - while(stageCnt > 0u) - { - /* Read g1(n-1), g3(n-1) .... from state */ - gcurr1 = *px; - - /* save g1(n) in state buffer */ - *px++ = gnext4; - - /* Process first sample for 2nd, 6th .. tap */ - /* Sample processing for K2, K6.... */ - /* f2(n) = f1(n) + K2 * g1(n-1) */ - fnext1 = fcurr1 + ((*pk) * gcurr1); - /* Process second sample for 2nd, 6th .. tap */ - /* for sample 2 processing */ - fnext2 = fcurr2 + ((*pk) * gnext1); - /* Process third sample for 2nd, 6th .. tap */ - fnext3 = fcurr3 + ((*pk) * gnext2); - /* Process fourth sample for 2nd, 6th .. tap */ - fnext4 = fcurr4 + ((*pk) * gnext3); - - /* g2(n) = f1(n) * K2 + g1(n-1) */ - /* Calculation of state values for next stage */ - gnext4 = (fcurr4 * (*pk)) + gnext3; - gnext3 = (fcurr3 * (*pk)) + gnext2; - gnext2 = (fcurr2 * (*pk)) + gnext1; - gnext1 = (fcurr1 * (*pk++)) + gcurr1; - - - /* Read g2(n-1), g4(n-1) .... from state */ - gcurr1 = *px; - - /* save g2(n) in state buffer */ - *px++ = gnext4; - - /* Sample processing for K3, K7.... */ - /* Process first sample for 3rd, 7th .. tap */ - /* f3(n) = f2(n) + K3 * g2(n-1) */ - fcurr1 = fnext1 + ((*pk) * gcurr1); - /* Process second sample for 3rd, 7th .. tap */ - fcurr2 = fnext2 + ((*pk) * gnext1); - /* Process third sample for 3rd, 7th .. tap */ - fcurr3 = fnext3 + ((*pk) * gnext2); - /* Process fourth sample for 3rd, 7th .. tap */ - fcurr4 = fnext4 + ((*pk) * gnext3); - - /* Calculation of state values for next stage */ - /* g3(n) = f2(n) * K3 + g2(n-1) */ - gnext4 = (fnext4 * (*pk)) + gnext3; - gnext3 = (fnext3 * (*pk)) + gnext2; - gnext2 = (fnext2 * (*pk)) + gnext1; - gnext1 = (fnext1 * (*pk++)) + gcurr1; - - - /* Read g1(n-1), g3(n-1) .... from state */ - gcurr1 = *px; - - /* save g3(n) in state buffer */ - *px++ = gnext4; - - /* Sample processing for K4, K8.... */ - /* Process first sample for 4th, 8th .. tap */ - /* f4(n) = f3(n) + K4 * g3(n-1) */ - fnext1 = fcurr1 + ((*pk) * gcurr1); - /* Process second sample for 4th, 8th .. tap */ - /* for sample 2 processing */ - fnext2 = fcurr2 + ((*pk) * gnext1); - /* Process third sample for 4th, 8th .. tap */ - fnext3 = fcurr3 + ((*pk) * gnext2); - /* Process fourth sample for 4th, 8th .. tap */ - fnext4 = fcurr4 + ((*pk) * gnext3); - - /* g4(n) = f3(n) * K4 + g3(n-1) */ - /* Calculation of state values for next stage */ - gnext4 = (fcurr4 * (*pk)) + gnext3; - gnext3 = (fcurr3 * (*pk)) + gnext2; - gnext2 = (fcurr2 * (*pk)) + gnext1; - gnext1 = (fcurr1 * (*pk++)) + gcurr1; - - /* Read g2(n-1), g4(n-1) .... from state */ - gcurr1 = *px; - - /* save g4(n) in state buffer */ - *px++ = gnext4; - - /* Sample processing for K5, K9.... */ - /* Process first sample for 5th, 9th .. tap */ - /* f5(n) = f4(n) + K5 * g4(n-1) */ - fcurr1 = fnext1 + ((*pk) * gcurr1); - /* Process second sample for 5th, 9th .. tap */ - fcurr2 = fnext2 + ((*pk) * gnext1); - /* Process third sample for 5th, 9th .. tap */ - fcurr3 = fnext3 + ((*pk) * gnext2); - /* Process fourth sample for 5th, 9th .. tap */ - fcurr4 = fnext4 + ((*pk) * gnext3); - - /* Calculation of state values for next stage */ - /* g5(n) = f4(n) * K5 + g4(n-1) */ - gnext4 = (fnext4 * (*pk)) + gnext3; - gnext3 = (fnext3 * (*pk)) + gnext2; - gnext2 = (fnext2 * (*pk)) + gnext1; - gnext1 = (fnext1 * (*pk++)) + gcurr1; - - stageCnt--; - } - - /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */ - stageCnt = (numStages - 1u) % 0x4u; - - while(stageCnt > 0u) - { - gcurr1 = *px; - - /* save g value in state buffer */ - *px++ = gnext4; - - /* Process four samples for last three taps here */ - fnext1 = fcurr1 + ((*pk) * gcurr1); - fnext2 = fcurr2 + ((*pk) * gnext1); - fnext3 = fcurr3 + ((*pk) * gnext2); - fnext4 = fcurr4 + ((*pk) * gnext3); - - /* g1(n) = f0(n) * K1 + g0(n-1) */ - gnext4 = (fcurr4 * (*pk)) + gnext3; - gnext3 = (fcurr3 * (*pk)) + gnext2; - gnext2 = (fcurr2 * (*pk)) + gnext1; - gnext1 = (fcurr1 * (*pk++)) + gcurr1; - - /* Update of f values for next coefficient set processing */ - fcurr1 = fnext1; - fcurr2 = fnext2; - fcurr3 = fnext3; - fcurr4 = fnext4; - - stageCnt--; - - } - - /* The results in the 4 accumulators, store in the destination buffer. */ - /* y(n) = fN(n) */ - *pDst++ = fcurr1; - *pDst++ = fcurr2; - *pDst++ = fcurr3; - *pDst++ = fcurr4; - - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* f0(n) = x(n) */ - fcurr1 = *pSrc++; - - /* Initialize coeff pointer */ - pk = (pCoeffs); - - /* Initialize state pointer */ - px = pState; - - /* read g2(n) from state buffer */ - gcurr1 = *px; - - /* for sample 1 processing */ - /* f1(n) = f0(n) + K1 * g0(n-1) */ - fnext1 = fcurr1 + ((*pk) * gcurr1); - /* g1(n) = f0(n) * K1 + g0(n-1) */ - gnext1 = (fcurr1 * (*pk++)) + gcurr1; - - /* save g1(n) in state buffer */ - *px++ = fcurr1; - - /* f1(n) is saved in fcurr1 - for next stage processing */ - fcurr1 = fnext1; - - stageCnt = (numStages - 1u); - - /* stage loop */ - while(stageCnt > 0u) - { - /* read g2(n) from state buffer */ - gcurr1 = *px; - - /* save g1(n) in state buffer */ - *px++ = gnext1; - - /* Sample processing for K2, K3.... */ - /* f2(n) = f1(n) + K2 * g1(n-1) */ - fnext1 = fcurr1 + ((*pk) * gcurr1); - /* g2(n) = f1(n) * K2 + g1(n-1) */ - gnext1 = (fcurr1 * (*pk++)) + gcurr1; - - /* f1(n) is saved in fcurr1 - for next stage processing */ - fcurr1 = fnext1; - - stageCnt--; - - } - - /* y(n) = fN(n) */ - *pDst++ = fcurr1; - - blkCnt--; - - } - -#else - - /* Run the below code for Cortex-M0 */ - - float32_t fcurr, fnext, gcurr, gnext; /* temporary variables */ - uint32_t numStages = S->numStages; /* Length of the filter */ - uint32_t blkCnt, stageCnt; /* temporary variables for counts */ - - pState = &S->pState[0]; - - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* f0(n) = x(n) */ - fcurr = *pSrc++; - - /* Initialize coeff pointer */ - pk = pCoeffs; - - /* Initialize state pointer */ - px = pState; - - /* read g0(n-1) from state buffer */ - gcurr = *px; - - /* for sample 1 processing */ - /* f1(n) = f0(n) + K1 * g0(n-1) */ - fnext = fcurr + ((*pk) * gcurr); - /* g1(n) = f0(n) * K1 + g0(n-1) */ - gnext = (fcurr * (*pk++)) + gcurr; - - /* save f0(n) in state buffer */ - *px++ = fcurr; - - /* f1(n) is saved in fcurr - for next stage processing */ - fcurr = fnext; - - stageCnt = (numStages - 1u); - - /* stage loop */ - while(stageCnt > 0u) - { - /* read g2(n) from state buffer */ - gcurr = *px; - - /* save g1(n) in state buffer */ - *px++ = gnext; - - /* Sample processing for K2, K3.... */ - /* f2(n) = f1(n) + K2 * g1(n-1) */ - fnext = fcurr + ((*pk) * gcurr); - /* g2(n) = f1(n) * K2 + g1(n-1) */ - gnext = (fcurr * (*pk++)) + gcurr; - - /* f1(n) is saved in fcurr1 - for next stage processing */ - fcurr = fnext; - - stageCnt--; - - } - - /* y(n) = fN(n) */ - *pDst++ = fcurr; - - blkCnt--; - - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of FIR_Lattice group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_lattice_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,83 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_lattice_init_f32.c -* -* Description: Floating-point FIR Lattice filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Lattice - * @{ - */ - -/** - * @brief Initialization function for the floating-point FIR lattice filter. - * @param[in] *S points to an instance of the floating-point FIR lattice structure. - * @param[in] numStages number of filter stages. - * @param[in] *pCoeffs points to the coefficient buffer. The array is of length numStages. - * @param[in] *pState points to the state buffer. The array is of length numStages. - * @return none. - */ - -void arm_fir_lattice_init_f32( - arm_fir_lattice_instance_f32 * S, - uint16_t numStages, - float32_t * pCoeffs, - float32_t * pState) -{ - /* Assign filter taps */ - S->numStages = numStages; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always numStages */ - memset(pState, 0, (numStages) * sizeof(float32_t)); - - /* Assign state pointer */ - S->pState = pState; - -} - -/** - * @} end of FIR_Lattice group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_lattice_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,83 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_lattice_init_q15.c -* -* Description: Q15 FIR Lattice filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Lattice - * @{ - */ - - /** - * @brief Initialization function for the Q15 FIR lattice filter. - * @param[in] *S points to an instance of the Q15 FIR lattice structure. - * @param[in] numStages number of filter stages. - * @param[in] *pCoeffs points to the coefficient buffer. The array is of length numStages. - * @param[in] *pState points to the state buffer. The array is of length numStages. - * @return none. - */ - -void arm_fir_lattice_init_q15( - arm_fir_lattice_instance_q15 * S, - uint16_t numStages, - q15_t * pCoeffs, - q15_t * pState) -{ - /* Assign filter taps */ - S->numStages = numStages; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always numStages */ - memset(pState, 0, (numStages) * sizeof(q15_t)); - - /* Assign state pointer */ - S->pState = pState; - -} - -/** - * @} end of FIR_Lattice group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_lattice_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,83 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_lattice_init_q31.c -* -* Description: Q31 FIR lattice filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Lattice - * @{ - */ - - /** - * @brief Initialization function for the Q31 FIR lattice filter. - * @param[in] *S points to an instance of the Q31 FIR lattice structure. - * @param[in] numStages number of filter stages. - * @param[in] *pCoeffs points to the coefficient buffer. The array is of length numStages. - * @param[in] *pState points to the state buffer. The array is of length numStages. - * @return none. - */ - -void arm_fir_lattice_init_q31( - arm_fir_lattice_instance_q31 * S, - uint16_t numStages, - q31_t * pCoeffs, - q31_t * pState) -{ - /* Assign filter taps */ - S->numStages = numStages; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always numStages */ - memset(pState, 0, (numStages) * sizeof(q31_t)); - - /* Assign state pointer */ - S->pState = pState; - -} - -/** - * @} end of FIR_Lattice group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_lattice_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,536 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_lattice_q15.c -* -* Description: Q15 FIR lattice filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Lattice - * @{ - */ - - -/** - * @brief Processing function for the Q15 FIR lattice filter. - * @param[in] *S points to an instance of the Q15 FIR lattice structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data - * @param[in] blockSize number of samples to process. - * @return none. - */ - -void arm_fir_lattice_q15( - const arm_fir_lattice_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q15_t *pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *px; /* temporary state pointer */ - q15_t *pk; /* temporary coefficient pointer */ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t fcurnt1, fnext1, gcurnt1 = 0, gnext1; /* temporary variables for first sample in loop unrolling */ - q31_t fcurnt2, fnext2, gnext2; /* temporary variables for second sample in loop unrolling */ - q31_t fcurnt3, fnext3, gnext3; /* temporary variables for third sample in loop unrolling */ - q31_t fcurnt4, fnext4, gnext4; /* temporary variables for fourth sample in loop unrolling */ - uint32_t numStages = S->numStages; /* Number of stages in the filter */ - uint32_t blkCnt, stageCnt; /* temporary variables for counts */ - - pState = &S->pState[0]; - - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - - /* Read two samples from input buffer */ - /* f0(n) = x(n) */ - fcurnt1 = *pSrc++; - fcurnt2 = *pSrc++; - - /* Initialize coeff pointer */ - pk = (pCoeffs); - - /* Initialize state pointer */ - px = pState; - - /* Read g0(n-1) from state */ - gcurnt1 = *px; - - /* Process first sample for first tap */ - /* f1(n) = f0(n) + K1 * g0(n-1) */ - fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1; - fnext1 = __SSAT(fnext1, 16); - - /* g1(n) = f0(n) * K1 + g0(n-1) */ - gnext1 = (q31_t) ((fcurnt1 * (*pk)) >> 15u) + gcurnt1; - gnext1 = __SSAT(gnext1, 16); - - /* Process second sample for first tap */ - /* for sample 2 processing */ - fnext2 = (q31_t) ((fcurnt1 * (*pk)) >> 15u) + fcurnt2; - fnext2 = __SSAT(fnext2, 16); - - gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + fcurnt1; - gnext2 = __SSAT(gnext2, 16); - - - /* Read next two samples from input buffer */ - /* f0(n+2) = x(n+2) */ - fcurnt3 = *pSrc++; - fcurnt4 = *pSrc++; - - /* Copy only last input samples into the state buffer - which is used for next four samples processing */ - *px++ = (q15_t) fcurnt4; - - /* Process third sample for first tap */ - fnext3 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + fcurnt3; - fnext3 = __SSAT(fnext3, 16); - gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + fcurnt2; - gnext3 = __SSAT(gnext3, 16); - - /* Process fourth sample for first tap */ - fnext4 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + fcurnt4; - fnext4 = __SSAT(fnext4, 16); - gnext4 = (q31_t) ((fcurnt4 * (*pk++)) >> 15u) + fcurnt3; - gnext4 = __SSAT(gnext4, 16); - - /* Update of f values for next coefficient set processing */ - fcurnt1 = fnext1; - fcurnt2 = fnext2; - fcurnt3 = fnext3; - fcurnt4 = fnext4; - - - /* Loop unrolling. Process 4 taps at a time . */ - stageCnt = (numStages - 1u) >> 2; - - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numStages-3 coefficients. */ - - /* Process 2nd, 3rd, 4th and 5th taps ... here */ - while(stageCnt > 0u) - { - /* Read g1(n-1), g3(n-1) .... from state */ - gcurnt1 = *px; - - /* save g1(n) in state buffer */ - *px++ = (q15_t) gnext4; - - /* Process first sample for 2nd, 6th .. tap */ - /* Sample processing for K2, K6.... */ - /* f1(n) = f0(n) + K1 * g0(n-1) */ - fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1; - fnext1 = __SSAT(fnext1, 16); - - - /* Process second sample for 2nd, 6th .. tap */ - /* for sample 2 processing */ - fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fcurnt2; - fnext2 = __SSAT(fnext2, 16); - /* Process third sample for 2nd, 6th .. tap */ - fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fcurnt3; - fnext3 = __SSAT(fnext3, 16); - /* Process fourth sample for 2nd, 6th .. tap */ - /* fnext4 = fcurnt4 + (*pk) * gnext3; */ - fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fcurnt4; - fnext4 = __SSAT(fnext4, 16); - - /* g1(n) = f0(n) * K1 + g0(n-1) */ - /* Calculation of state values for next stage */ - gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15u) + gnext3; - gnext4 = __SSAT(gnext4, 16); - gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + gnext2; - gnext3 = __SSAT(gnext3, 16); - - gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + gnext1; - gnext2 = __SSAT(gnext2, 16); - - gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15u) + gcurnt1; - gnext1 = __SSAT(gnext1, 16); - - - /* Read g2(n-1), g4(n-1) .... from state */ - gcurnt1 = *px; - - /* save g1(n) in state buffer */ - *px++ = (q15_t) gnext4; - - /* Sample processing for K3, K7.... */ - /* Process first sample for 3rd, 7th .. tap */ - /* f3(n) = f2(n) + K3 * g2(n-1) */ - fcurnt1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fnext1; - fcurnt1 = __SSAT(fcurnt1, 16); - - /* Process second sample for 3rd, 7th .. tap */ - fcurnt2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fnext2; - fcurnt2 = __SSAT(fcurnt2, 16); - - /* Process third sample for 3rd, 7th .. tap */ - fcurnt3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fnext3; - fcurnt3 = __SSAT(fcurnt3, 16); - - /* Process fourth sample for 3rd, 7th .. tap */ - fcurnt4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fnext4; - fcurnt4 = __SSAT(fcurnt4, 16); - - /* Calculation of state values for next stage */ - /* g3(n) = f2(n) * K3 + g2(n-1) */ - gnext4 = (q31_t) ((fnext4 * (*pk)) >> 15u) + gnext3; - gnext4 = __SSAT(gnext4, 16); - - gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15u) + gnext2; - gnext3 = __SSAT(gnext3, 16); - - gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15u) + gnext1; - gnext2 = __SSAT(gnext2, 16); - - gnext1 = (q31_t) ((fnext1 * (*pk++)) >> 15u) + gcurnt1; - gnext1 = __SSAT(gnext1, 16); - - /* Read g1(n-1), g3(n-1) .... from state */ - gcurnt1 = *px; - - /* save g1(n) in state buffer */ - *px++ = (q15_t) gnext4; - - /* Sample processing for K4, K8.... */ - /* Process first sample for 4th, 8th .. tap */ - /* f4(n) = f3(n) + K4 * g3(n-1) */ - fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1; - fnext1 = __SSAT(fnext1, 16); - - /* Process second sample for 4th, 8th .. tap */ - /* for sample 2 processing */ - fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fcurnt2; - fnext2 = __SSAT(fnext2, 16); - - /* Process third sample for 4th, 8th .. tap */ - fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fcurnt3; - fnext3 = __SSAT(fnext3, 16); - - /* Process fourth sample for 4th, 8th .. tap */ - fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fcurnt4; - fnext4 = __SSAT(fnext4, 16); - - /* g4(n) = f3(n) * K4 + g3(n-1) */ - /* Calculation of state values for next stage */ - gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15u) + gnext3; - gnext4 = __SSAT(gnext4, 16); - - gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + gnext2; - gnext3 = __SSAT(gnext3, 16); - - gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + gnext1; - gnext2 = __SSAT(gnext2, 16); - gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15u) + gcurnt1; - gnext1 = __SSAT(gnext1, 16); - - - /* Read g2(n-1), g4(n-1) .... from state */ - gcurnt1 = *px; - - /* save g4(n) in state buffer */ - *px++ = (q15_t) gnext4; - - /* Sample processing for K5, K9.... */ - /* Process first sample for 5th, 9th .. tap */ - /* f5(n) = f4(n) + K5 * g4(n-1) */ - fcurnt1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fnext1; - fcurnt1 = __SSAT(fcurnt1, 16); - - /* Process second sample for 5th, 9th .. tap */ - fcurnt2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fnext2; - fcurnt2 = __SSAT(fcurnt2, 16); - - /* Process third sample for 5th, 9th .. tap */ - fcurnt3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fnext3; - fcurnt3 = __SSAT(fcurnt3, 16); - - /* Process fourth sample for 5th, 9th .. tap */ - fcurnt4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fnext4; - fcurnt4 = __SSAT(fcurnt4, 16); - - /* Calculation of state values for next stage */ - /* g5(n) = f4(n) * K5 + g4(n-1) */ - gnext4 = (q31_t) ((fnext4 * (*pk)) >> 15u) + gnext3; - gnext4 = __SSAT(gnext4, 16); - gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15u) + gnext2; - gnext3 = __SSAT(gnext3, 16); - gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15u) + gnext1; - gnext2 = __SSAT(gnext2, 16); - gnext1 = (q31_t) ((fnext1 * (*pk++)) >> 15u) + gcurnt1; - gnext1 = __SSAT(gnext1, 16); - - stageCnt--; - } - - /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */ - stageCnt = (numStages - 1u) % 0x4u; - - while(stageCnt > 0u) - { - gcurnt1 = *px; - - /* save g value in state buffer */ - *px++ = (q15_t) gnext4; - - /* Process four samples for last three taps here */ - fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15u) + fcurnt1; - fnext1 = __SSAT(fnext1, 16); - fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15u) + fcurnt2; - fnext2 = __SSAT(fnext2, 16); - - fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15u) + fcurnt3; - fnext3 = __SSAT(fnext3, 16); - - fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15u) + fcurnt4; - fnext4 = __SSAT(fnext4, 16); - - /* g1(n) = f0(n) * K1 + g0(n-1) */ - gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15u) + gnext3; - gnext4 = __SSAT(gnext4, 16); - gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15u) + gnext2; - gnext3 = __SSAT(gnext3, 16); - gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15u) + gnext1; - gnext2 = __SSAT(gnext2, 16); - gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15u) + gcurnt1; - gnext1 = __SSAT(gnext1, 16); - - /* Update of f values for next coefficient set processing */ - fcurnt1 = fnext1; - fcurnt2 = fnext2; - fcurnt3 = fnext3; - fcurnt4 = fnext4; - - stageCnt--; - - } - - /* The results in the 4 accumulators, store in the destination buffer. */ - /* y(n) = fN(n) */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = __PKHBT(fcurnt1, fcurnt2, 16); - *__SIMD32(pDst)++ = __PKHBT(fcurnt3, fcurnt4, 16); - -#else - - *__SIMD32(pDst)++ = __PKHBT(fcurnt2, fcurnt1, 16); - *__SIMD32(pDst)++ = __PKHBT(fcurnt4, fcurnt3, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* f0(n) = x(n) */ - fcurnt1 = *pSrc++; - - /* Initialize coeff pointer */ - pk = (pCoeffs); - - /* Initialize state pointer */ - px = pState; - - /* read g2(n) from state buffer */ - gcurnt1 = *px; - - /* for sample 1 processing */ - /* f1(n) = f0(n) + K1 * g0(n-1) */ - fnext1 = (((q31_t) gcurnt1 * (*pk)) >> 15u) + fcurnt1; - fnext1 = __SSAT(fnext1, 16); - - - /* g1(n) = f0(n) * K1 + g0(n-1) */ - gnext1 = (((q31_t) fcurnt1 * (*pk++)) >> 15u) + gcurnt1; - gnext1 = __SSAT(gnext1, 16); - - /* save g1(n) in state buffer */ - *px++ = (q15_t) fcurnt1; - - /* f1(n) is saved in fcurnt1 - for next stage processing */ - fcurnt1 = fnext1; - - stageCnt = (numStages - 1u); - - /* stage loop */ - while(stageCnt > 0u) - { - /* read g2(n) from state buffer */ - gcurnt1 = *px; - - /* save g1(n) in state buffer */ - *px++ = (q15_t) gnext1; - - /* Sample processing for K2, K3.... */ - /* f2(n) = f1(n) + K2 * g1(n-1) */ - fnext1 = (((q31_t) gcurnt1 * (*pk)) >> 15u) + fcurnt1; - fnext1 = __SSAT(fnext1, 16); - - /* g2(n) = f1(n) * K2 + g1(n-1) */ - gnext1 = (((q31_t) fcurnt1 * (*pk++)) >> 15u) + gcurnt1; - gnext1 = __SSAT(gnext1, 16); - - - /* f1(n) is saved in fcurnt1 - for next stage processing */ - fcurnt1 = fnext1; - - stageCnt--; - - } - - /* y(n) = fN(n) */ - *pDst++ = __SSAT(fcurnt1, 16); - - - blkCnt--; - - } - -#else - - /* Run the below code for Cortex-M0 */ - - q31_t fcurnt, fnext, gcurnt, gnext; /* temporary variables */ - uint32_t numStages = S->numStages; /* Length of the filter */ - uint32_t blkCnt, stageCnt; /* temporary variables for counts */ - - pState = &S->pState[0]; - - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* f0(n) = x(n) */ - fcurnt = *pSrc++; - - /* Initialize coeff pointer */ - pk = (pCoeffs); - - /* Initialize state pointer */ - px = pState; - - /* read g0(n-1) from state buffer */ - gcurnt = *px; - - /* for sample 1 processing */ - /* f1(n) = f0(n) + K1 * g0(n-1) */ - fnext = ((gcurnt * (*pk)) >> 15u) + fcurnt; - fnext = __SSAT(fnext, 16); - - - /* g1(n) = f0(n) * K1 + g0(n-1) */ - gnext = ((fcurnt * (*pk++)) >> 15u) + gcurnt; - gnext = __SSAT(gnext, 16); - - /* save f0(n) in state buffer */ - *px++ = (q15_t) fcurnt; - - /* f1(n) is saved in fcurnt - for next stage processing */ - fcurnt = fnext; - - stageCnt = (numStages - 1u); - - /* stage loop */ - while(stageCnt > 0u) - { - /* read g1(n-1) from state buffer */ - gcurnt = *px; - - /* save g0(n-1) in state buffer */ - *px++ = (q15_t) gnext; - - /* Sample processing for K2, K3.... */ - /* f2(n) = f1(n) + K2 * g1(n-1) */ - fnext = ((gcurnt * (*pk)) >> 15u) + fcurnt; - fnext = __SSAT(fnext, 16); - - /* g2(n) = f1(n) * K2 + g1(n-1) */ - gnext = ((fcurnt * (*pk++)) >> 15u) + gcurnt; - gnext = __SSAT(gnext, 16); - - - /* f1(n) is saved in fcurnt - for next stage processing */ - fcurnt = fnext; - - stageCnt--; - - } - - /* y(n) = fN(n) */ - *pDst++ = __SSAT(fcurnt, 16); - - - blkCnt--; - - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of FIR_Lattice group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_lattice_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,353 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_lattice_q31.c -* -* Description: Q31 FIR lattice filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Lattice - * @{ - */ - - -/** - * @brief Processing function for the Q31 FIR lattice filter. - * @param[in] *S points to an instance of the Q31 FIR lattice structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data - * @param[in] blockSize number of samples to process. - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * In order to avoid overflows the input signal must be scaled down by 2*log2(numStages) bits. - */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - -void arm_fir_lattice_q31( - const arm_fir_lattice_instance_q31 * S, - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t *pState; /* State pointer */ - q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q31_t *px; /* temporary state pointer */ - q31_t *pk; /* temporary coefficient pointer */ - q31_t fcurr1, fnext1, gcurr1 = 0, gnext1; /* temporary variables for first sample in loop unrolling */ - q31_t fcurr2, fnext2, gnext2; /* temporary variables for second sample in loop unrolling */ - uint32_t numStages = S->numStages; /* Length of the filter */ - uint32_t blkCnt, stageCnt; /* temporary variables for counts */ - q31_t k; - - pState = &S->pState[0]; - - blkCnt = blockSize >> 1u; - - /* First part of the processing with loop unrolling. Compute 2 outputs at a time. - a second loop below computes the remaining 1 sample. */ - while(blkCnt > 0u) - { - /* f0(n) = x(n) */ - fcurr1 = *pSrc++; - - /* f0(n) = x(n) */ - fcurr2 = *pSrc++; - - /* Initialize coeff pointer */ - pk = (pCoeffs); - - /* Initialize state pointer */ - px = pState; - - /* read g0(n - 1) from state buffer */ - gcurr1 = *px; - - /* Read the reflection coefficient */ - k = *pk++; - - /* for sample 1 processing */ - /* f1(n) = f0(n) + K1 * g0(n-1) */ - fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32); - - /* g1(n) = f0(n) * K1 + g0(n-1) */ - gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32); - fnext1 = fcurr1 + (fnext1 << 1u); - gnext1 = gcurr1 + (gnext1 << 1u); - - /* for sample 1 processing */ - /* f1(n) = f0(n) + K1 * g0(n-1) */ - fnext2 = (q31_t) (((q63_t) fcurr1 * k) >> 32); - - /* g1(n) = f0(n) * K1 + g0(n-1) */ - gnext2 = (q31_t) (((q63_t) fcurr2 * (k)) >> 32); - fnext2 = fcurr2 + (fnext2 << 1u); - gnext2 = fcurr1 + (gnext2 << 1u); - - /* save g1(n) in state buffer */ - *px++ = fcurr2; - - /* f1(n) is saved in fcurr1 - for next stage processing */ - fcurr1 = fnext1; - fcurr2 = fnext2; - - stageCnt = (numStages - 1u); - - /* stage loop */ - while(stageCnt > 0u) - { - - /* Read the reflection coefficient */ - k = *pk++; - - /* read g2(n) from state buffer */ - gcurr1 = *px; - - /* save g1(n) in state buffer */ - *px++ = gnext2; - - /* Sample processing for K2, K3.... */ - /* f2(n) = f1(n) + K2 * g1(n-1) */ - fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32); - fnext2 = (q31_t) (((q63_t) gnext1 * k) >> 32); - - fnext1 = fcurr1 + (fnext1 << 1u); - fnext2 = fcurr2 + (fnext2 << 1u); - - /* g2(n) = f1(n) * K2 + g1(n-1) */ - gnext2 = (q31_t) (((q63_t) fcurr2 * (k)) >> 32); - gnext2 = gnext1 + (gnext2 << 1u); - - /* g2(n) = f1(n) * K2 + g1(n-1) */ - gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32); - gnext1 = gcurr1 + (gnext1 << 1u); - - /* f1(n) is saved in fcurr1 - for next stage processing */ - fcurr1 = fnext1; - fcurr2 = fnext2; - - stageCnt--; - - } - - /* y(n) = fN(n) */ - *pDst++ = fcurr1; - *pDst++ = fcurr2; - - blkCnt--; - - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x2u; - - while(blkCnt > 0u) - { - /* f0(n) = x(n) */ - fcurr1 = *pSrc++; - - /* Initialize coeff pointer */ - pk = (pCoeffs); - - /* Initialize state pointer */ - px = pState; - - /* read g0(n - 1) from state buffer */ - gcurr1 = *px; - - /* Read the reflection coefficient */ - k = *pk++; - - /* for sample 1 processing */ - /* f1(n) = f0(n) + K1 * g0(n-1) */ - fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32); - fnext1 = fcurr1 + (fnext1 << 1u); - - /* g1(n) = f0(n) * K1 + g0(n-1) */ - gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32); - gnext1 = gcurr1 + (gnext1 << 1u); - - /* save g1(n) in state buffer */ - *px++ = fcurr1; - - /* f1(n) is saved in fcurr1 - for next stage processing */ - fcurr1 = fnext1; - - stageCnt = (numStages - 1u); - - /* stage loop */ - while(stageCnt > 0u) - { - /* Read the reflection coefficient */ - k = *pk++; - - /* read g2(n) from state buffer */ - gcurr1 = *px; - - /* save g1(n) in state buffer */ - *px++ = gnext1; - - /* Sample processing for K2, K3.... */ - /* f2(n) = f1(n) + K2 * g1(n-1) */ - fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32); - fnext1 = fcurr1 + (fnext1 << 1u); - - /* g2(n) = f1(n) * K2 + g1(n-1) */ - gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32); - gnext1 = gcurr1 + (gnext1 << 1u); - - /* f1(n) is saved in fcurr1 - for next stage processing */ - fcurr1 = fnext1; - - stageCnt--; - - } - - - /* y(n) = fN(n) */ - *pDst++ = fcurr1; - - blkCnt--; - - } - - -} - - -#else - -/* Run the below code for Cortex-M0 */ - -void arm_fir_lattice_q31( - const arm_fir_lattice_instance_q31 * S, - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t *pState; /* State pointer */ - q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q31_t *px; /* temporary state pointer */ - q31_t *pk; /* temporary coefficient pointer */ - q31_t fcurr, fnext, gcurr, gnext; /* temporary variables */ - uint32_t numStages = S->numStages; /* Length of the filter */ - uint32_t blkCnt, stageCnt; /* temporary variables for counts */ - - pState = &S->pState[0]; - - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* f0(n) = x(n) */ - fcurr = *pSrc++; - - /* Initialize coeff pointer */ - pk = (pCoeffs); - - /* Initialize state pointer */ - px = pState; - - /* read g0(n-1) from state buffer */ - gcurr = *px; - - /* for sample 1 processing */ - /* f1(n) = f0(n) + K1 * g0(n-1) */ - fnext = (q31_t) (((q63_t) gcurr * (*pk)) >> 31) + fcurr; - /* g1(n) = f0(n) * K1 + g0(n-1) */ - gnext = (q31_t) (((q63_t) fcurr * (*pk++)) >> 31) + gcurr; - /* save g1(n) in state buffer */ - *px++ = fcurr; - - /* f1(n) is saved in fcurr1 - for next stage processing */ - fcurr = fnext; - - stageCnt = (numStages - 1u); - - /* stage loop */ - while(stageCnt > 0u) - { - /* read g2(n) from state buffer */ - gcurr = *px; - - /* save g1(n) in state buffer */ - *px++ = gnext; - - /* Sample processing for K2, K3.... */ - /* f2(n) = f1(n) + K2 * g1(n-1) */ - fnext = (q31_t) (((q63_t) gcurr * (*pk)) >> 31) + fcurr; - /* g2(n) = f1(n) * K2 + g1(n-1) */ - gnext = (q31_t) (((q63_t) fcurr * (*pk++)) >> 31) + gcurr; - - /* f1(n) is saved in fcurr1 - for next stage processing */ - fcurr = fnext; - - stageCnt--; - - } - - /* y(n) = fN(n) */ - *pDst++ = fcurr; - - blkCnt--; - - } - -} - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - -/** - * @} end of FIR_Lattice group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,691 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_q15.c -* -* Description: Q15 FIR filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR - * @{ - */ - -/** - * @brief Processing function for the Q15 FIR filter. - * @param[in] *S points to an instance of the Q15 FIR structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of samples to process per call. - * @return none. - * - * - * \par Restrictions - * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE - * In this case input, output, state buffers should be aligned by 32-bit - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using a 64-bit internal accumulator. - * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. - * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. - * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. - * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. - * Lastly, the accumulator is saturated to yield a result in 1.15 format. - * - * \par - * Refer to the function <code>arm_fir_fast_q15()</code> for a faster but less precise implementation of this function. - */ - -#ifndef ARM_MATH_CM0_FAMILY - -/* Run the below code for Cortex-M4 and Cortex-M3 */ - -#ifndef UNALIGNED_SUPPORT_DISABLE - - -void arm_fir_q15( - const arm_fir_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *pStateCurnt; /* Points to the current sample of the state */ - q15_t *px1; /* Temporary q15 pointer for state buffer */ - q15_t *pb; /* Temporary pointer for coefficient buffer */ - q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold SIMD state and coefficient values */ - q63_t acc0, acc1, acc2, acc3; /* Accumulators */ - uint32_t numTaps = S->numTaps; /* Number of taps in the filter */ - uint32_t tapCnt, blkCnt; /* Loop counters */ - - - /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Apply loop unrolling and compute 4 output values simultaneously. - * The variables acc0 ... acc3 hold output values that are being computed: - * - * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] - * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] - * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] - * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] - */ - - blkCnt = blockSize >> 2; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Copy four new input samples into the state buffer. - ** Use 32-bit SIMD to move the 16-bit data. Only requires two copies. */ - *__SIMD32(pStateCurnt)++ = *__SIMD32(pSrc)++; - *__SIMD32(pStateCurnt)++ = *__SIMD32(pSrc)++; - - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Initialize state pointer of type q15 */ - px1 = pState; - - /* Initialize coeff pointer of type q31 */ - pb = pCoeffs; - - /* Read the first two samples from the state buffer: x[n-N], x[n-N-1] */ - x0 = _SIMD32_OFFSET(px1); - - /* Read the third and forth samples from the state buffer: x[n-N-1], x[n-N-2] */ - x1 = _SIMD32_OFFSET(px1 + 1u); - - px1 += 2u; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-4 coefficients. */ - tapCnt = numTaps >> 2; - - while(tapCnt > 0u) - { - /* Read the first two coefficients using SIMD: b[N] and b[N-1] coefficients */ - c0 = *__SIMD32(pb)++; - - /* acc0 += b[N] * x[n-N] + b[N-1] * x[n-N-1] */ - acc0 = __SMLALD(x0, c0, acc0); - - /* acc1 += b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */ - acc1 = __SMLALD(x1, c0, acc1); - - /* Read state x[n-N-2], x[n-N-3] */ - x2 = _SIMD32_OFFSET(px1); - - /* Read state x[n-N-3], x[n-N-4] */ - x3 = _SIMD32_OFFSET(px1 + 1u); - - /* acc2 += b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */ - acc2 = __SMLALD(x2, c0, acc2); - - /* acc3 += b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */ - acc3 = __SMLALD(x3, c0, acc3); - - /* Read coefficients b[N-2], b[N-3] */ - c0 = *__SIMD32(pb)++; - - /* acc0 += b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */ - acc0 = __SMLALD(x2, c0, acc0); - - /* acc1 += b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */ - acc1 = __SMLALD(x3, c0, acc1); - - /* Read state x[n-N-4], x[n-N-5] */ - x0 = _SIMD32_OFFSET(px1 + 2u); - - /* Read state x[n-N-5], x[n-N-6] */ - x1 = _SIMD32_OFFSET(px1 + 3u); - - /* acc2 += b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */ - acc2 = __SMLALD(x0, c0, acc2); - - /* acc3 += b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */ - acc3 = __SMLALD(x1, c0, acc3); - - px1 += 4u; - - tapCnt--; - - } - - - /* If the filter length is not a multiple of 4, compute the remaining filter taps. - ** This is always be 2 taps since the filter length is even. */ - if((numTaps & 0x3u) != 0u) - { - /* Read 2 coefficients */ - c0 = *__SIMD32(pb)++; - - /* Fetch 4 state variables */ - x2 = _SIMD32_OFFSET(px1); - - x3 = _SIMD32_OFFSET(px1 + 1u); - - /* Perform the multiply-accumulates */ - acc0 = __SMLALD(x0, c0, acc0); - - px1 += 2u; - - acc1 = __SMLALD(x1, c0, acc1); - acc2 = __SMLALD(x2, c0, acc2); - acc3 = __SMLALD(x3, c0, acc3); - } - - /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation. - ** Then store the 4 outputs in the destination buffer. */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = - __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); - *__SIMD32(pDst)++ = - __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); - -#else - - *__SIMD32(pDst)++ = - __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); - *__SIMD32(pDst)++ = - __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - - - /* Advance the state pointer by 4 to process the next group of 4 samples */ - pState = pState + 4; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - while(blkCnt > 0u) - { - /* Copy two samples into state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Set the accumulator to zero */ - acc0 = 0; - - /* Initialize state pointer of type q15 */ - px1 = pState; - - /* Initialize coeff pointer of type q31 */ - pb = pCoeffs; - - tapCnt = numTaps >> 1; - - do - { - - c0 = *__SIMD32(pb)++; - x0 = *__SIMD32(px1)++; - - acc0 = __SMLALD(x0, c0, acc0); - tapCnt--; - } - while(tapCnt > 0u); - - /* The result is in 2.30 format. Convert to 1.15 with saturation. - ** Then store the output in the destination buffer. */ - *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - /* Calculation of count for copying integer writes */ - tapCnt = (numTaps - 1u) >> 2; - - while(tapCnt > 0u) - { - - /* Copy state values to start of state buffer */ - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; - - tapCnt--; - - } - - /* Calculation of count for remaining q15_t data */ - tapCnt = (numTaps - 1u) % 0x4u; - - /* copy remaining data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } -} - -#else /* UNALIGNED_SUPPORT_DISABLE */ - -void arm_fir_q15( - const arm_fir_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *pStateCurnt; /* Points to the current sample of the state */ - q63_t acc0, acc1, acc2, acc3; /* Accumulators */ - q15_t *pb; /* Temporary pointer for coefficient buffer */ - q15_t *px; /* Temporary q31 pointer for SIMD state buffer accesses */ - q31_t x0, x1, x2, c0; /* Temporary variables to hold SIMD state and coefficient values */ - uint32_t numTaps = S->numTaps; /* Number of taps in the filter */ - uint32_t tapCnt, blkCnt; /* Loop counters */ - - - /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Apply loop unrolling and compute 4 output values simultaneously. - * The variables acc0 ... acc3 hold output values that are being computed: - * - * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] - * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] - * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] - * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] - */ - - blkCnt = blockSize >> 2; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Copy four new input samples into the state buffer. - ** Use 32-bit SIMD to move the 16-bit data. Only requires two copies. */ - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - - - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */ - px = pState; - - /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */ - pb = pCoeffs; - - /* Read the first two samples from the state buffer: x[n-N], x[n-N-1] */ - x0 = *__SIMD32(px)++; - - /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */ - x2 = *__SIMD32(px)++; - - /* Loop over the number of taps. Unroll by a factor of 4. - ** Repeat until we've computed numTaps-(numTaps%4) coefficients. */ - tapCnt = numTaps >> 2; - - while(tapCnt > 0) - { - /* Read the first two coefficients using SIMD: b[N] and b[N-1] coefficients */ - c0 = *__SIMD32(pb)++; - - /* acc0 += b[N] * x[n-N] + b[N-1] * x[n-N-1] */ - acc0 = __SMLALD(x0, c0, acc0); - - /* acc2 += b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */ - acc2 = __SMLALD(x2, c0, acc2); - - /* pack x[n-N-1] and x[n-N-2] */ -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(x2, x0, 0); -#else - x1 = __PKHBT(x0, x2, 0); -#endif - - /* Read state x[n-N-4], x[n-N-5] */ - x0 = _SIMD32_OFFSET(px); - - /* acc1 += b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */ - acc1 = __SMLALDX(x1, c0, acc1); - - /* pack x[n-N-3] and x[n-N-4] */ -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(x0, x2, 0); -#else - x1 = __PKHBT(x2, x0, 0); -#endif - - /* acc3 += b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */ - acc3 = __SMLALDX(x1, c0, acc3); - - /* Read coefficients b[N-2], b[N-3] */ - c0 = *__SIMD32(pb)++; - - /* acc0 += b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */ - acc0 = __SMLALD(x2, c0, acc0); - - /* Read state x[n-N-6], x[n-N-7] with offset */ - x2 = _SIMD32_OFFSET(px + 2u); - - /* acc2 += b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */ - acc2 = __SMLALD(x0, c0, acc2); - - /* acc1 += b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */ - acc1 = __SMLALDX(x1, c0, acc1); - - /* pack x[n-N-5] and x[n-N-6] */ -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(x2, x0, 0); -#else - x1 = __PKHBT(x0, x2, 0); -#endif - - /* acc3 += b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */ - acc3 = __SMLALDX(x1, c0, acc3); - - /* Update state pointer for next state reading */ - px += 4u; - - /* Decrement tap count */ - tapCnt--; - - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps. - ** This is always be 2 taps since the filter length is even. */ - if((numTaps & 0x3u) != 0u) - { - - /* Read last two coefficients */ - c0 = *__SIMD32(pb)++; - - /* Perform the multiply-accumulates */ - acc0 = __SMLALD(x0, c0, acc0); - acc2 = __SMLALD(x2, c0, acc2); - - /* pack state variables */ -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(x2, x0, 0); -#else - x1 = __PKHBT(x0, x2, 0); -#endif - - /* Read last state variables */ - x0 = *__SIMD32(px); - - /* Perform the multiply-accumulates */ - acc1 = __SMLALDX(x1, c0, acc1); - - /* pack state variables */ -#ifndef ARM_MATH_BIG_ENDIAN - x1 = __PKHBT(x0, x2, 0); -#else - x1 = __PKHBT(x2, x0, 0); -#endif - - /* Perform the multiply-accumulates */ - acc3 = __SMLALDX(x1, c0, acc3); - } - - /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation. - ** Then store the 4 outputs in the destination buffer. */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = - __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); - - *__SIMD32(pDst)++ = - __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); - -#else - - *__SIMD32(pDst)++ = - __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); - - *__SIMD32(pDst)++ = - __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Advance the state pointer by 4 to process the next group of 4 samples */ - pState = pState + 4; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - while(blkCnt > 0u) - { - /* Copy two samples into state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Set the accumulator to zero */ - acc0 = 0; - - /* Use SIMD to hold states and coefficients */ - px = pState; - pb = pCoeffs; - - tapCnt = numTaps >> 1u; - - do - { - acc0 += (q31_t) * px++ * *pb++; - acc0 += (q31_t) * px++ * *pb++; - tapCnt--; - } - while(tapCnt > 0u); - - /* The result is in 2.30 format. Convert to 1.15 with saturation. - ** Then store the output in the destination buffer. */ - *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - /* Calculation of count for copying integer writes */ - tapCnt = (numTaps - 1u) >> 2; - - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - tapCnt--; - - } - - /* Calculation of count for remaining q15_t data */ - tapCnt = (numTaps - 1u) % 0x4u; - - /* copy remaining data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } -} - - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - -#else /* ARM_MATH_CM0_FAMILY */ - - -/* Run the below code for Cortex-M0 */ - -void arm_fir_q15( - const arm_fir_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *pStateCurnt; /* Points to the current sample of the state */ - - - - q15_t *px; /* Temporary pointer for state buffer */ - q15_t *pb; /* Temporary pointer for coefficient buffer */ - q63_t acc; /* Accumulator */ - uint32_t numTaps = S->numTaps; /* Number of nTaps in the filter */ - uint32_t tapCnt, blkCnt; /* Loop counters */ - - /* S->pState buffer contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Initialize blkCnt with blockSize */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* Copy one sample at a time into state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Set the accumulator to zero */ - acc = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize Coefficient pointer */ - pb = pCoeffs; - - tapCnt = numTaps; - - /* Perform the multiply-accumulates */ - do - { - /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ - acc += (q31_t) * px++ * *pb++; - tapCnt--; - } while(tapCnt > 0u); - - /* The result is in 2.30 format. Convert to 1.15 - ** Then store the output in the destination buffer. */ - *pDst++ = (q15_t) __SSAT((acc >> 15u), 16); - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - /* Decrement the samples loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - /* Copy numTaps number of values */ - tapCnt = (numTaps - 1u); - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -} - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - - -/** - * @} end of FIR group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,365 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_q31.c -* -* Description: Q31 FIR filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR - * @{ - */ - -/** - * @param[in] *S points to an instance of the Q31 FIR filter structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of samples to process per call. - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using an internal 64-bit accumulator. - * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. - * Thus, if the accumulator result overflows it wraps around rather than clip. - * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. - * After all multiply-accumulates are performed, the 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. - * - * \par - * Refer to the function <code>arm_fir_fast_q31()</code> for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4. - */ - -void arm_fir_q31( - const arm_fir_instance_q31 * S, - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t *pState = S->pState; /* State pointer */ - q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q31_t *pStateCurnt; /* Points to the current sample of the state */ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t x0, x1, x2; /* Temporary variables to hold state */ - q31_t c0; /* Temporary variable to hold coefficient value */ - q31_t *px; /* Temporary pointer for state */ - q31_t *pb; /* Temporary pointer for coefficient buffer */ - q63_t acc0, acc1, acc2; /* Accumulators */ - uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ - uint32_t i, tapCnt, blkCnt, tapCntN3; /* Loop counters */ - - /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Apply loop unrolling and compute 4 output values simultaneously. - * The variables acc0 ... acc3 hold output values that are being computed: - * - * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] - * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] - * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] - * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] - */ - blkCnt = blockSize / 3; - blockSize = blockSize - (3 * blkCnt); - - tapCnt = numTaps / 3; - tapCntN3 = numTaps - (3 * tapCnt); - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Copy three new input samples into the state buffer */ - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coefficient pointer */ - pb = pCoeffs; - - /* Read the first two samples from the state buffer: - * x[n-numTaps], x[n-numTaps-1] */ - x0 = *(px++); - x1 = *(px++); - - /* Loop unrolling. Process 3 taps at a time. */ - i = tapCnt; - - while(i > 0u) - { - /* Read the b[numTaps] coefficient */ - c0 = *pb; - - /* Read x[n-numTaps-2] sample */ - x2 = *(px++); - - /* Perform the multiply-accumulates */ - acc0 += ((q63_t) x0 * c0); - acc1 += ((q63_t) x1 * c0); - acc2 += ((q63_t) x2 * c0); - - /* Read the coefficient and state */ - c0 = *(pb + 1u); - x0 = *(px++); - - /* Perform the multiply-accumulates */ - acc0 += ((q63_t) x1 * c0); - acc1 += ((q63_t) x2 * c0); - acc2 += ((q63_t) x0 * c0); - - /* Read the coefficient and state */ - c0 = *(pb + 2u); - x1 = *(px++); - - /* update coefficient pointer */ - pb += 3u; - - /* Perform the multiply-accumulates */ - acc0 += ((q63_t) x2 * c0); - acc1 += ((q63_t) x0 * c0); - acc2 += ((q63_t) x1 * c0); - - /* Decrement the loop counter */ - i--; - } - - /* If the filter length is not a multiple of 3, compute the remaining filter taps */ - - i = tapCntN3; - - while(i > 0u) - { - /* Read coefficients */ - c0 = *(pb++); - - /* Fetch 1 state variable */ - x2 = *(px++); - - /* Perform the multiply-accumulates */ - acc0 += ((q63_t) x0 * c0); - acc1 += ((q63_t) x1 * c0); - acc2 += ((q63_t) x2 * c0); - - /* Reuse the present sample states for next sample */ - x0 = x1; - x1 = x2; - - /* Decrement the loop counter */ - i--; - } - - /* Advance the state pointer by 3 to process the next group of 3 samples */ - pState = pState + 3; - - /* The results in the 3 accumulators are in 2.30 format. Convert to 1.31 - ** Then store the 3 outputs in the destination buffer. */ - *pDst++ = (q31_t) (acc0 >> 31u); - *pDst++ = (q31_t) (acc1 >> 31u); - *pDst++ = (q31_t) (acc2 >> 31u); - - /* Decrement the samples loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 3, compute any remaining output samples here. - ** No loop unrolling is used. */ - - while(blockSize > 0u) - { - /* Copy one sample at a time into state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Set the accumulator to zero */ - acc0 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize Coefficient pointer */ - pb = (pCoeffs); - - i = numTaps; - - /* Perform the multiply-accumulates */ - do - { - acc0 += (q63_t) * (px++) * (*(pb++)); - i--; - } while(i > 0u); - - /* The result is in 2.62 format. Convert to 1.31 - ** Then store the output in the destination buffer. */ - *pDst++ = (q31_t) (acc0 >> 31u); - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - /* Decrement the samples loop counter */ - blockSize--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - tapCnt = (numTaps - 1u) >> 2u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Calculate remaining number of copies */ - tapCnt = (numTaps - 1u) % 0x4u; - - /* Copy the remaining q31_t data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#else - -/* Run the below code for Cortex-M0 */ - - q31_t *px; /* Temporary pointer for state */ - q31_t *pb; /* Temporary pointer for coefficient buffer */ - q63_t acc; /* Accumulator */ - uint32_t numTaps = S->numTaps; /* Length of the filter */ - uint32_t i, tapCnt, blkCnt; /* Loop counters */ - - /* S->pState buffer contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Initialize blkCnt with blockSize */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* Copy one sample at a time into state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Set the accumulator to zero */ - acc = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize Coefficient pointer */ - pb = pCoeffs; - - i = numTaps; - - /* Perform the multiply-accumulates */ - do - { - /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ - acc += (q63_t) * px++ * *pb++; - i--; - } while(i > 0u); - - /* The result is in 2.62 format. Convert to 1.31 - ** Then store the output in the destination buffer. */ - *pDst++ = (q31_t) (acc >> 31u); - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - /* Decrement the samples loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the starting of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - /* Copy numTaps number of values */ - tapCnt = numTaps - 1u; - - /* Copy the data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of FIR group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,390 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_q7.c -* -* Description: Q7 FIR filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR - * @{ - */ - -/** - * @param[in] *S points to an instance of the Q7 FIR filter structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of samples to process per call. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using a 32-bit internal accumulator. - * Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result. - * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. - * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. - * The accumulator is converted to 18.7 format by discarding the low 7 bits. - * Finally, the result is truncated to 1.7 format. - */ - -void arm_fir_q7( - const arm_fir_instance_q7 * S, - q7_t * pSrc, - q7_t * pDst, - uint32_t blockSize) -{ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q7_t *pState = S->pState; /* State pointer */ - q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q7_t *pStateCurnt; /* Points to the current sample of the state */ - q7_t x0, x1, x2, x3; /* Temporary variables to hold state */ - q7_t c0; /* Temporary variable to hold coefficient value */ - q7_t *px; /* Temporary pointer for state */ - q7_t *pb; /* Temporary pointer for coefficient buffer */ - q31_t acc0, acc1, acc2, acc3; /* Accumulators */ - uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ - uint32_t i, tapCnt, blkCnt; /* Loop counters */ - - /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Apply loop unrolling and compute 4 output values simultaneously. - * The variables acc0 ... acc3 hold output values that are being computed: - * - * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] - * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] - * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] - * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] - */ - blkCnt = blockSize >> 2; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Copy four new input samples into the state buffer */ - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - *pStateCurnt++ = *pSrc++; - - /* Set all accumulators to zero */ - acc0 = 0; - acc1 = 0; - acc2 = 0; - acc3 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coefficient pointer */ - pb = pCoeffs; - - /* Read the first three samples from the state buffer: - * x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */ - x0 = *(px++); - x1 = *(px++); - x2 = *(px++); - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - i = tapCnt; - - while(i > 0u) - { - /* Read the b[numTaps] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-3] sample */ - x3 = *(px++); - - /* acc0 += b[numTaps] * x[n-numTaps] */ - acc0 += ((q15_t) x0 * c0); - - /* acc1 += b[numTaps] * x[n-numTaps-1] */ - acc1 += ((q15_t) x1 * c0); - - /* acc2 += b[numTaps] * x[n-numTaps-2] */ - acc2 += ((q15_t) x2 * c0); - - /* acc3 += b[numTaps] * x[n-numTaps-3] */ - acc3 += ((q15_t) x3 * c0); - - /* Read the b[numTaps-1] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-4] sample */ - x0 = *(px++); - - /* Perform the multiply-accumulates */ - acc0 += ((q15_t) x1 * c0); - acc1 += ((q15_t) x2 * c0); - acc2 += ((q15_t) x3 * c0); - acc3 += ((q15_t) x0 * c0); - - /* Read the b[numTaps-2] coefficient */ - c0 = *(pb++); - - /* Read x[n-numTaps-5] sample */ - x1 = *(px++); - - /* Perform the multiply-accumulates */ - acc0 += ((q15_t) x2 * c0); - acc1 += ((q15_t) x3 * c0); - acc2 += ((q15_t) x0 * c0); - acc3 += ((q15_t) x1 * c0); - /* Read the b[numTaps-3] coefficients */ - c0 = *(pb++); - - /* Read x[n-numTaps-6] sample */ - x2 = *(px++); - - /* Perform the multiply-accumulates */ - acc0 += ((q15_t) x3 * c0); - acc1 += ((q15_t) x0 * c0); - acc2 += ((q15_t) x1 * c0); - acc3 += ((q15_t) x2 * c0); - i--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - - i = numTaps - (tapCnt * 4u); - while(i > 0u) - { - /* Read coefficients */ - c0 = *(pb++); - - /* Fetch 1 state variable */ - x3 = *(px++); - - /* Perform the multiply-accumulates */ - acc0 += ((q15_t) x0 * c0); - acc1 += ((q15_t) x1 * c0); - acc2 += ((q15_t) x2 * c0); - acc3 += ((q15_t) x3 * c0); - - /* Reuse the present sample states for next sample */ - x0 = x1; - x1 = x2; - x2 = x3; - - /* Decrement the loop counter */ - i--; - } - - /* Advance the state pointer by 4 to process the next group of 4 samples */ - pState = pState + 4; - - /* The results in the 4 accumulators are in 2.62 format. Convert to 1.31 - ** Then store the 4 outputs in the destination buffer. */ - acc0 = __SSAT((acc0 >> 7u), 8); - *pDst++ = acc0; - acc1 = __SSAT((acc1 >> 7u), 8); - *pDst++ = acc1; - acc2 = __SSAT((acc2 >> 7u), 8); - *pDst++ = acc2; - acc3 = __SSAT((acc3 >> 7u), 8); - *pDst++ = acc3; - - /* Decrement the samples loop counter */ - blkCnt--; - } - - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 4u; - - while(blkCnt > 0u) - { - /* Copy one sample at a time into state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Set the accumulator to zero */ - acc0 = 0; - - /* Initialize state pointer */ - px = pState; - - /* Initialize Coefficient pointer */ - pb = (pCoeffs); - - i = numTaps; - - /* Perform the multiply-accumulates */ - do - { - acc0 += (q15_t) * (px++) * (*(pb++)); - i--; - } while(i > 0u); - - /* The result is in 2.14 format. Convert to 1.7 - ** Then store the output in the destination buffer. */ - *pDst++ = __SSAT((acc0 >> 7u), 8); - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - /* Decrement the samples loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - tapCnt = (numTaps - 1u) >> 2u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Calculate remaining number of copies */ - tapCnt = (numTaps - 1u) % 0x4u; - - /* Copy the remaining q31_t data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#else - -/* Run the below code for Cortex-M0 */ - - uint32_t numTaps = S->numTaps; /* Number of taps in the filter */ - uint32_t i, blkCnt; /* Loop counters */ - q7_t *pState = S->pState; /* State pointer */ - q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q7_t *px, *pb; /* Temporary pointers to state and coeff */ - q31_t acc = 0; /* Accumlator */ - q7_t *pStateCurnt; /* Points to the current sample of the state */ - - - /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = S->pState + (numTaps - 1u); - - /* Initialize blkCnt with blockSize */ - blkCnt = blockSize; - - /* Perform filtering upto BlockSize - BlockSize%4 */ - while(blkCnt > 0u) - { - /* Copy one sample at a time into state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Set accumulator to zero */ - acc = 0; - - /* Initialize state pointer of type q7 */ - px = pState; - - /* Initialize coeff pointer of type q7 */ - pb = pCoeffs; - - - i = numTaps; - - while(i > 0u) - { - /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ - acc += (q15_t) * px++ * *pb++; - i--; - } - - /* Store the 1.7 format filter output in destination buffer */ - *pDst++ = (q7_t) __SSAT((acc >> 7), 8); - - /* Advance the state pointer by 1 to process the next sample */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. - ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. - ** This prepares the state buffer for the next function call. */ - - - /* Points to the start of the state buffer */ - pStateCurnt = S->pState; - - - /* Copy numTaps number of values */ - i = (numTaps - 1u); - - /* Copy q7_t data */ - while(i > 0u) - { - *pStateCurnt++ = *pState++; - i--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of FIR group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,372 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_sparse_f32.c -* -* Description: Floating-point sparse FIR filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @defgroup FIR_Sparse Finite Impulse Response (FIR) Sparse Filters - * - * This group of functions implements sparse FIR filters. - * Sparse FIR filters are equivalent to standard FIR filters except that most of the coefficients are equal to zero. - * Sparse filters are used for simulating reflections in communications and audio applications. - * - * There are separate functions for Q7, Q15, Q31, and floating-point data types. - * The functions operate on blocks of input and output data and each call to the function processes - * <code>blockSize</code> samples through the filter. <code>pSrc</code> and - * <code>pDst</code> points to input and output arrays respectively containing <code>blockSize</code> values. - * - * \par Algorithm: - * The sparse filter instant structure contains an array of tap indices <code>pTapDelay</code> which specifies the locations of the non-zero coefficients. - * This is in addition to the coefficient array <code>b</code>. - * The implementation essentially skips the multiplications by zero and leads to an efficient realization. - * <pre> - * y[n] = b[0] * x[n-pTapDelay[0]] + b[1] * x[n-pTapDelay[1]] + b[2] * x[n-pTapDelay[2]] + ...+ b[numTaps-1] * x[n-pTapDelay[numTaps-1]] - * </pre> - * \par - * \image html FIRSparse.gif "Sparse FIR filter. b[n] represents the filter coefficients" - * \par - * <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>; - * <code>pTapDelay</code> points to an array of nonzero indices and is also of size <code>numTaps</code>; - * <code>pState</code> points to a state array of size <code>maxDelay + blockSize</code>, where - * <code>maxDelay</code> is the largest offset value that is ever used in the <code>pTapDelay</code> array. - * Some of the processing functions also require temporary working buffers. - * - * \par Instance Structure - * The coefficients and state variables for a filter are stored together in an instance data structure. - * A separate instance structure must be defined for each filter. - * Coefficient and offset arrays may be shared among several instances while state variable arrays cannot be shared. - * There are separate instance structure declarations for each of the 4 supported data types. - * - * \par Initialization Functions - * There is also an associated initialization function for each data type. - * The initialization function performs the following operations: - * - Sets the values of the internal structure fields. - * - Zeros out the values in the state buffer. - * To do this manually without calling the init function, assign the follow subfields of the instance structure: - * numTaps, pCoeffs, pTapDelay, maxDelay, stateIndex, pState. Also set all of the values in pState to zero. - * - * \par - * Use of the initialization function is optional. - * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. - * To place an instance structure into a const data section, the instance structure must be manually initialized. - * Set the values in the state buffer to zeros before static initialization. - * The code below statically initializes each of the 4 different data type filter instance structures - * <pre> - *arm_fir_sparse_instance_f32 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay}; - *arm_fir_sparse_instance_q31 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay}; - *arm_fir_sparse_instance_q15 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay}; - *arm_fir_sparse_instance_q7 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay}; - * </pre> - * \par - * - * \par Fixed-Point Behavior - * Care must be taken when using the fixed-point versions of the sparse FIR filter functions. - * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. - * Refer to the function specific documentation below for usage guidelines. - */ - -/** - * @addtogroup FIR_Sparse - * @{ - */ - -/** - * @brief Processing function for the floating-point sparse FIR filter. - * @param[in] *S points to an instance of the floating-point sparse FIR structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data - * @param[in] *pScratchIn points to a temporary buffer of size blockSize. - * @param[in] blockSize number of input samples to process per call. - * @return none. - */ - -void arm_fir_sparse_f32( - arm_fir_sparse_instance_f32 * S, - float32_t * pSrc, - float32_t * pDst, - float32_t * pScratchIn, - uint32_t blockSize) -{ - - float32_t *pState = S->pState; /* State pointer */ - float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - float32_t *px; /* Scratch buffer pointer */ - float32_t *py = pState; /* Temporary pointers for state buffer */ - float32_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */ - float32_t *pOut; /* Destination pointer */ - int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */ - uint32_t delaySize = S->maxDelay + blockSize; /* state length */ - uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ - int32_t readIndex; /* Read index of the state buffer */ - uint32_t tapCnt, blkCnt; /* loop counters */ - float32_t coeff = *pCoeffs++; /* Read the first coefficient value */ - - - - /* BlockSize of Input samples are copied into the state buffer */ - /* StateIndex points to the starting position to write in the state buffer */ - arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1, - (int32_t *) pSrc, 1, blockSize); - - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, - (int32_t *) pb, (int32_t *) pb, blockSize, 1, - blockSize); - - /* Working pointer for the scratch buffer */ - px = pb; - - /* Working pointer for destination buffer */ - pOut = pDst; - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Loop over the blockSize. Unroll by a factor of 4. - * Compute 4 Multiplications at a time. */ - blkCnt = blockSize >> 2u; - - while(blkCnt > 0u) - { - /* Perform Multiplications and store in destination buffer */ - *pOut++ = *px++ * coeff; - *pOut++ = *px++ * coeff; - *pOut++ = *px++ * coeff; - *pOut++ = *px++ * coeff; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, - * compute the remaining samples */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* Perform Multiplications and store in destination buffer */ - *pOut++ = *px++ * coeff; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Loop over the number of taps. */ - tapCnt = (uint32_t) numTaps - 1u; - - while(tapCnt > 0u) - { - - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, - (int32_t *) pb, (int32_t *) pb, blockSize, 1, - blockSize); - - /* Working pointer for the scratch buffer */ - px = pb; - - /* Working pointer for destination buffer */ - pOut = pDst; - - /* Loop over the blockSize. Unroll by a factor of 4. - * Compute 4 MACS at a time. */ - blkCnt = blockSize >> 2u; - - while(blkCnt > 0u) - { - /* Perform Multiply-Accumulate */ - *pOut++ += *px++ * coeff; - *pOut++ += *px++ * coeff; - *pOut++ += *px++ * coeff; - *pOut++ += *px++ * coeff; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, - * compute the remaining samples */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* Perform Multiply-Accumulate */ - *pOut++ += *px++ * coeff; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = ((int32_t) S->stateIndex - - (int32_t) blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Decrement the tap loop counter */ - tapCnt--; - } - -#else - -/* Run the below code for Cortex-M0 */ - - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* Perform Multiplications and store in destination buffer */ - *pOut++ = *px++ * coeff; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Loop over the number of taps. */ - tapCnt = (uint32_t) numTaps - 1u; - - while(tapCnt > 0u) - { - - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, - (int32_t *) pb, (int32_t *) pb, blockSize, 1, - blockSize); - - /* Working pointer for the scratch buffer */ - px = pb; - - /* Working pointer for destination buffer */ - pOut = pDst; - - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* Perform Multiply-Accumulate */ - *pOut++ += *px++ * coeff; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = - ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Decrement the tap loop counter */ - tapCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of FIR_Sparse group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,107 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_sparse_init_f32.c -* -* Description: Floating-point sparse FIR filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Sparse - * @{ - */ - -/** - * @brief Initialization function for the floating-point sparse FIR filter. - * @param[in,out] *S points to an instance of the floating-point sparse FIR structure. - * @param[in] numTaps number of nonzero coefficients in the filter. - * @param[in] *pCoeffs points to the array of filter coefficients. - * @param[in] *pState points to the state buffer. - * @param[in] *pTapDelay points to the array of offset times. - * @param[in] maxDelay maximum offset time supported. - * @param[in] blockSize number of samples that will be processed per block. - * @return none - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>. - * <code>pState</code> holds the filter's state variables and must be of length - * <code>maxDelay + blockSize</code>, where <code>maxDelay</code> - * is the maximum number of delay line values. - * <code>blockSize</code> is the - * number of samples processed by the <code>arm_fir_sparse_f32()</code> function. - */ - -void arm_fir_sparse_init_f32( - arm_fir_sparse_instance_f32 * S, - uint16_t numTaps, - float32_t * pCoeffs, - float32_t * pState, - int32_t * pTapDelay, - uint16_t maxDelay, - uint32_t blockSize) -{ - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Assign TapDelay pointer */ - S->pTapDelay = pTapDelay; - - /* Assign MaxDelay */ - S->maxDelay = maxDelay; - - /* reset the stateIndex to 0 */ - S->stateIndex = 0u; - - /* Clear state buffer and size is always maxDelay + blockSize */ - memset(pState, 0, (maxDelay + blockSize) * sizeof(float32_t)); - - /* Assign state pointer */ - S->pState = pState; - -} - -/** - * @} end of FIR_Sparse group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,107 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_sparse_init_q15.c -* -* Description: Q15 sparse FIR filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Sparse - * @{ - */ - -/** - * @brief Initialization function for the Q15 sparse FIR filter. - * @param[in,out] *S points to an instance of the Q15 sparse FIR structure. - * @param[in] numTaps number of nonzero coefficients in the filter. - * @param[in] *pCoeffs points to the array of filter coefficients. - * @param[in] *pState points to the state buffer. - * @param[in] *pTapDelay points to the array of offset times. - * @param[in] maxDelay maximum offset time supported. - * @param[in] blockSize number of samples that will be processed per block. - * @return none - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>. - * <code>pState</code> holds the filter's state variables and must be of length - * <code>maxDelay + blockSize</code>, where <code>maxDelay</code> - * is the maximum number of delay line values. - * <code>blockSize</code> is the - * number of words processed by <code>arm_fir_sparse_q15()</code> function. - */ - -void arm_fir_sparse_init_q15( - arm_fir_sparse_instance_q15 * S, - uint16_t numTaps, - q15_t * pCoeffs, - q15_t * pState, - int32_t * pTapDelay, - uint16_t maxDelay, - uint32_t blockSize) -{ - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Assign TapDelay pointer */ - S->pTapDelay = pTapDelay; - - /* Assign MaxDelay */ - S->maxDelay = maxDelay; - - /* reset the stateIndex to 0 */ - S->stateIndex = 0u; - - /* Clear state buffer and size is always maxDelay + blockSize */ - memset(pState, 0, (maxDelay + blockSize) * sizeof(q15_t)); - - /* Assign state pointer */ - S->pState = pState; - -} - -/** - * @} end of FIR_Sparse group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,106 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_sparse_init_q31.c -* -* Description: Q31 sparse FIR filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Sparse - * @{ - */ - -/** - * @brief Initialization function for the Q31 sparse FIR filter. - * @param[in,out] *S points to an instance of the Q31 sparse FIR structure. - * @param[in] numTaps number of nonzero coefficients in the filter. - * @param[in] *pCoeffs points to the array of filter coefficients. - * @param[in] *pState points to the state buffer. - * @param[in] *pTapDelay points to the array of offset times. - * @param[in] maxDelay maximum offset time supported. - * @param[in] blockSize number of samples that will be processed per block. - * @return none - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>. - * <code>pState</code> holds the filter's state variables and must be of length - * <code>maxDelay + blockSize</code>, where <code>maxDelay</code> - * is the maximum number of delay line values. - * <code>blockSize</code> is the number of words processed by <code>arm_fir_sparse_q31()</code> function. - */ - -void arm_fir_sparse_init_q31( - arm_fir_sparse_instance_q31 * S, - uint16_t numTaps, - q31_t * pCoeffs, - q31_t * pState, - int32_t * pTapDelay, - uint16_t maxDelay, - uint32_t blockSize) -{ - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Assign TapDelay pointer */ - S->pTapDelay = pTapDelay; - - /* Assign MaxDelay */ - S->maxDelay = maxDelay; - - /* reset the stateIndex to 0 */ - S->stateIndex = 0u; - - /* Clear state buffer and size is always maxDelay + blockSize */ - memset(pState, 0, (maxDelay + blockSize) * sizeof(q31_t)); - - /* Assign state pointer */ - S->pState = pState; - -} - -/** - * @} end of FIR_Sparse group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_init_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,107 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_sparse_init_q7.c -* -* Description: Q7 sparse FIR filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Sparse - * @{ - */ - -/** - * @brief Initialization function for the Q7 sparse FIR filter. - * @param[in,out] *S points to an instance of the Q7 sparse FIR structure. - * @param[in] numTaps number of nonzero coefficients in the filter. - * @param[in] *pCoeffs points to the array of filter coefficients. - * @param[in] *pState points to the state buffer. - * @param[in] *pTapDelay points to the array of offset times. - * @param[in] maxDelay maximum offset time supported. - * @param[in] blockSize number of samples that will be processed per block. - * @return none - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>. - * <code>pState</code> holds the filter's state variables and must be of length - * <code>maxDelay + blockSize</code>, where <code>maxDelay</code> - * is the maximum number of delay line values. - * <code>blockSize</code> is the - * number of samples processed by the <code>arm_fir_sparse_q7()</code> function. - */ - -void arm_fir_sparse_init_q7( - arm_fir_sparse_instance_q7 * S, - uint16_t numTaps, - q7_t * pCoeffs, - q7_t * pState, - int32_t * pTapDelay, - uint16_t maxDelay, - uint32_t blockSize) -{ - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Assign TapDelay pointer */ - S->pTapDelay = pTapDelay; - - /* Assign MaxDelay */ - S->maxDelay = maxDelay; - - /* reset the stateIndex to 0 */ - S->stateIndex = 0u; - - /* Clear state buffer and size is always maxDelay + blockSize */ - memset(pState, 0, (maxDelay + blockSize) * sizeof(q7_t)); - - /* Assign state pointer */ - S->pState = pState; - -} - -/** - * @} end of FIR_Sparse group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,411 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_sparse_q15.c -* -* Description: Q15 sparse FIR filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ------------------------------------------------------------------- */ -#include "arm_math.h" - -/** - * @addtogroup FIR_Sparse - * @{ - */ - -/** - * @brief Processing function for the Q15 sparse FIR filter. - * @param[in] *S points to an instance of the Q15 sparse FIR structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data - * @param[in] *pScratchIn points to a temporary buffer of size blockSize. - * @param[in] *pScratchOut points to a temporary buffer of size blockSize. - * @param[in] blockSize number of input samples to process per call. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using an internal 32-bit accumulator. - * The 1.15 x 1.15 multiplications yield a 2.30 result and these are added to a 2.30 accumulator. - * Thus the full precision of the multiplications is maintained but there is only a single guard bit in the accumulator. - * If the accumulator result overflows it will wrap around rather than saturate. - * After all multiply-accumulates are performed, the 2.30 accumulator is truncated to 2.15 format and then saturated to 1.15 format. - * In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits. - */ - - -void arm_fir_sparse_q15( - arm_fir_sparse_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - q15_t * pScratchIn, - q31_t * pScratchOut, - uint32_t blockSize) -{ - - q15_t *pState = S->pState; /* State pointer */ - q15_t *pIn = pSrc; /* Working pointer for input */ - q15_t *pOut = pDst; /* Working pointer for output */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *px; /* Temporary pointers for scratch buffer */ - q15_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */ - q15_t *py = pState; /* Temporary pointers for state buffer */ - int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */ - uint32_t delaySize = S->maxDelay + blockSize; /* state length */ - uint16_t numTaps = S->numTaps; /* Filter order */ - int32_t readIndex; /* Read index of the state buffer */ - uint32_t tapCnt, blkCnt; /* loop counters */ - q15_t coeff = *pCoeffs++; /* Read the first coefficient value */ - q31_t *pScr2 = pScratchOut; /* Working pointer for pScratchOut */ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t in1, in2; /* Temporary variables */ - - - /* BlockSize of Input samples are copied into the state buffer */ - /* StateIndex points to the starting position to write in the state buffer */ - arm_circularWrite_q15(py, delaySize, &S->stateIndex, 1, pIn, 1, blockSize); - - /* Loop over the number of taps. */ - tapCnt = numTaps; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = (S->stateIndex - blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_q15(py, delaySize, &readIndex, 1, - pb, pb, blockSize, 1, blockSize); - - /* Working pointer for the scratch buffer of state values */ - px = pb; - - /* Working pointer for scratch buffer of output values */ - pScratchOut = pScr2; - - /* Loop over the blockSize. Unroll by a factor of 4. - * Compute 4 multiplications at a time. */ - blkCnt = blockSize >> 2; - - while(blkCnt > 0u) - { - /* Perform multiplication and store in the scratch buffer */ - *pScratchOut++ = ((q31_t) * px++ * coeff); - *pScratchOut++ = ((q31_t) * px++ * coeff); - *pScratchOut++ = ((q31_t) * px++ * coeff); - *pScratchOut++ = ((q31_t) * px++ * coeff); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, - * compute the remaining samples */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* Perform multiplication and store in the scratch buffer */ - *pScratchOut++ = ((q31_t) * px++ * coeff); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = (S->stateIndex - blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Loop over the number of taps. */ - tapCnt = (uint32_t) numTaps - 1u; - - while(tapCnt > 0u) - { - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_q15(py, delaySize, &readIndex, 1, - pb, pb, blockSize, 1, blockSize); - - /* Working pointer for the scratch buffer of state values */ - px = pb; - - /* Working pointer for scratch buffer of output values */ - pScratchOut = pScr2; - - /* Loop over the blockSize. Unroll by a factor of 4. - * Compute 4 MACS at a time. */ - blkCnt = blockSize >> 2; - - while(blkCnt > 0u) - { - /* Perform Multiply-Accumulate */ - *pScratchOut++ += (q31_t) * px++ * coeff; - *pScratchOut++ += (q31_t) * px++ * coeff; - *pScratchOut++ += (q31_t) * px++ * coeff; - *pScratchOut++ += (q31_t) * px++ * coeff; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, - * compute the remaining samples */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* Perform Multiply-Accumulate */ - *pScratchOut++ += (q31_t) * px++ * coeff; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = (S->stateIndex - blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Decrement the tap loop counter */ - tapCnt--; - } - - /* All the output values are in pScratchOut buffer. - Convert them into 1.15 format, saturate and store in the destination buffer. */ - /* Loop over the blockSize. */ - blkCnt = blockSize >> 2; - - while(blkCnt > 0u) - { - in1 = *pScr2++; - in2 = *pScr2++; - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pOut)++ = - __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16), - 16); - -#else - *__SIMD32(pOut)++ = - __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16), - 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - in1 = *pScr2++; - - in2 = *pScr2++; - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pOut)++ = - __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16), - 16); - -#else - - *__SIMD32(pOut)++ = - __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16), - 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - - blkCnt--; - - } - - /* If the blockSize is not a multiple of 4, - remaining samples are processed in the below loop */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16); - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* BlockSize of Input samples are copied into the state buffer */ - /* StateIndex points to the starting position to write in the state buffer */ - arm_circularWrite_q15(py, delaySize, &S->stateIndex, 1, pIn, 1, blockSize); - - /* Loop over the number of taps. */ - tapCnt = numTaps; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = (S->stateIndex - blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_q15(py, delaySize, &readIndex, 1, - pb, pb, blockSize, 1, blockSize); - - /* Working pointer for the scratch buffer of state values */ - px = pb; - - /* Working pointer for scratch buffer of output values */ - pScratchOut = pScr2; - - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* Perform multiplication and store in the scratch buffer */ - *pScratchOut++ = ((q31_t) * px++ * coeff); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = (S->stateIndex - blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Loop over the number of taps. */ - tapCnt = (uint32_t) numTaps - 1u; - - while(tapCnt > 0u) - { - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_q15(py, delaySize, &readIndex, 1, - pb, pb, blockSize, 1, blockSize); - - /* Working pointer for the scratch buffer of state values */ - px = pb; - - /* Working pointer for scratch buffer of output values */ - pScratchOut = pScr2; - - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* Perform Multiply-Accumulate */ - *pScratchOut++ += (q31_t) * px++ * coeff; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = (S->stateIndex - blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Decrement the tap loop counter */ - tapCnt--; - } - - /* All the output values are in pScratchOut buffer. - Convert them into 1.15 format, saturate and store in the destination buffer. */ - /* Loop over the blockSize. */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16); - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of FIR_Sparse group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,375 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_sparse_q31.c -* -* Description: Q31 sparse FIR filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ------------------------------------------------------------------- */ -#include "arm_math.h" - - -/** - * @addtogroup FIR_Sparse - * @{ - */ - -/** - * @brief Processing function for the Q31 sparse FIR filter. - * @param[in] *S points to an instance of the Q31 sparse FIR structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data - * @param[in] *pScratchIn points to a temporary buffer of size blockSize. - * @param[in] blockSize number of input samples to process per call. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using an internal 32-bit accumulator. - * The 1.31 x 1.31 multiplications are truncated to 2.30 format. - * This leads to loss of precision on the intermediate multiplications and provides only a single guard bit. - * If the accumulator result overflows, it wraps around rather than saturate. - * In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits. - */ - -void arm_fir_sparse_q31( - arm_fir_sparse_instance_q31 * S, - q31_t * pSrc, - q31_t * pDst, - q31_t * pScratchIn, - uint32_t blockSize) -{ - - q31_t *pState = S->pState; /* State pointer */ - q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q31_t *px; /* Scratch buffer pointer */ - q31_t *py = pState; /* Temporary pointers for state buffer */ - q31_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */ - q31_t *pOut; /* Destination pointer */ - q63_t out; /* Temporary output variable */ - int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */ - uint32_t delaySize = S->maxDelay + blockSize; /* state length */ - uint16_t numTaps = S->numTaps; /* Filter order */ - int32_t readIndex; /* Read index of the state buffer */ - uint32_t tapCnt, blkCnt; /* loop counters */ - q31_t coeff = *pCoeffs++; /* Read the first coefficient value */ - q31_t in; - - - /* BlockSize of Input samples are copied into the state buffer */ - /* StateIndex points to the starting position to write in the state buffer */ - arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1, - (int32_t *) pSrc, 1, blockSize); - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, - (int32_t *) pb, (int32_t *) pb, blockSize, 1, - blockSize); - - /* Working pointer for the scratch buffer of state values */ - px = pb; - - /* Working pointer for scratch buffer of output values */ - pOut = pDst; - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Loop over the blockSize. Unroll by a factor of 4. - * Compute 4 Multiplications at a time. */ - blkCnt = blockSize >> 2; - - while(blkCnt > 0u) - { - /* Perform Multiplications and store in the destination buffer */ - *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32); - *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32); - *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32); - *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, - * compute the remaining samples */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* Perform Multiplications and store in the destination buffer */ - *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Loop over the number of taps. */ - tapCnt = (uint32_t) numTaps - 1u; - - while(tapCnt > 0u) - { - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, - (int32_t *) pb, (int32_t *) pb, blockSize, 1, - blockSize); - - /* Working pointer for the scratch buffer of state values */ - px = pb; - - /* Working pointer for scratch buffer of output values */ - pOut = pDst; - - /* Loop over the blockSize. Unroll by a factor of 4. - * Compute 4 MACS at a time. */ - blkCnt = blockSize >> 2; - - while(blkCnt > 0u) - { - out = *pOut; - out += ((q63_t) * px++ * coeff) >> 32; - *pOut++ = (q31_t) (out); - - out = *pOut; - out += ((q63_t) * px++ * coeff) >> 32; - *pOut++ = (q31_t) (out); - - out = *pOut; - out += ((q63_t) * px++ * coeff) >> 32; - *pOut++ = (q31_t) (out); - - out = *pOut; - out += ((q63_t) * px++ * coeff) >> 32; - *pOut++ = (q31_t) (out); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, - * compute the remaining samples */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* Perform Multiply-Accumulate */ - out = *pOut; - out += ((q63_t) * px++ * coeff) >> 32; - *pOut++ = (q31_t) (out); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Decrement the tap loop counter */ - tapCnt--; - } - - /* Working output pointer is updated */ - pOut = pDst; - - /* Output is converted into 1.31 format. */ - /* Loop over the blockSize. Unroll by a factor of 4. - * process 4 output samples at a time. */ - blkCnt = blockSize >> 2; - - while(blkCnt > 0u) - { - in = *pOut << 1; - *pOut++ = in; - in = *pOut << 1; - *pOut++ = in; - in = *pOut << 1; - *pOut++ = in; - in = *pOut << 1; - *pOut++ = in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, - * process the remaining output samples */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - in = *pOut << 1; - *pOut++ = in; - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* Perform Multiplications and store in the destination buffer */ - *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Loop over the number of taps. */ - tapCnt = (uint32_t) numTaps - 1u; - - while(tapCnt > 0u) - { - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, - (int32_t *) pb, (int32_t *) pb, blockSize, 1, - blockSize); - - /* Working pointer for the scratch buffer of state values */ - px = pb; - - /* Working pointer for scratch buffer of output values */ - pOut = pDst; - - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* Perform Multiply-Accumulate */ - out = *pOut; - out += ((q63_t) * px++ * coeff) >> 32; - *pOut++ = (q31_t) (out); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Decrement the tap loop counter */ - tapCnt--; - } - - /* Working output pointer is updated */ - pOut = pDst; - - /* Output is converted into 1.31 format. */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - in = *pOut << 1; - *pOut++ = in; - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of FIR_Sparse group - */
--- a/cmsis_dsp/FilteringFunctions/arm_fir_sparse_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,403 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fir_sparse_q7.c -* -* Description: Q7 sparse FIR filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ------------------------------------------------------------------- */ -#include "arm_math.h" - - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup FIR_Sparse - * @{ - */ - - -/** - * @brief Processing function for the Q7 sparse FIR filter. - * @param[in] *S points to an instance of the Q7 sparse FIR structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data - * @param[in] *pScratchIn points to a temporary buffer of size blockSize. - * @param[in] *pScratchOut points to a temporary buffer of size blockSize. - * @param[in] blockSize number of input samples to process per call. - * @return none. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using a 32-bit internal accumulator. - * Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result. - * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. - * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. - * The accumulator is then converted to 18.7 format by discarding the low 7 bits. - * Finally, the result is truncated to 1.7 format. - */ - -void arm_fir_sparse_q7( - arm_fir_sparse_instance_q7 * S, - q7_t * pSrc, - q7_t * pDst, - q7_t * pScratchIn, - q31_t * pScratchOut, - uint32_t blockSize) -{ - - q7_t *pState = S->pState; /* State pointer */ - q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q7_t *px; /* Scratch buffer pointer */ - q7_t *py = pState; /* Temporary pointers for state buffer */ - q7_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */ - q7_t *pOut = pDst; /* Destination pointer */ - int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */ - uint32_t delaySize = S->maxDelay + blockSize; /* state length */ - uint16_t numTaps = S->numTaps; /* Filter order */ - int32_t readIndex; /* Read index of the state buffer */ - uint32_t tapCnt, blkCnt; /* loop counters */ - q7_t coeff = *pCoeffs++; /* Read the coefficient value */ - q31_t *pScr2 = pScratchOut; /* Working pointer for scratch buffer of output values */ - q31_t in; - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q7_t in1, in2, in3, in4; - - /* BlockSize of Input samples are copied into the state buffer */ - /* StateIndex points to the starting position to write in the state buffer */ - arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1, - blockSize); - - /* Loop over the number of taps. */ - tapCnt = numTaps; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb, - (int32_t) blockSize, 1, blockSize); - - /* Working pointer for the scratch buffer of state values */ - px = pb; - - /* Working pointer for scratch buffer of output values */ - pScratchOut = pScr2; - - /* Loop over the blockSize. Unroll by a factor of 4. - * Compute 4 multiplications at a time. */ - blkCnt = blockSize >> 2; - - while(blkCnt > 0u) - { - /* Perform multiplication and store in the scratch buffer */ - *pScratchOut++ = ((q31_t) * px++ * coeff); - *pScratchOut++ = ((q31_t) * px++ * coeff); - *pScratchOut++ = ((q31_t) * px++ * coeff); - *pScratchOut++ = ((q31_t) * px++ * coeff); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, - * compute the remaining samples */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* Perform multiplication and store in the scratch buffer */ - *pScratchOut++ = ((q31_t) * px++ * coeff); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Loop over the number of taps. */ - tapCnt = (uint32_t) numTaps - 1u; - - while(tapCnt > 0u) - { - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb, - (int32_t) blockSize, 1, blockSize); - - /* Working pointer for the scratch buffer of state values */ - px = pb; - - /* Working pointer for scratch buffer of output values */ - pScratchOut = pScr2; - - /* Loop over the blockSize. Unroll by a factor of 4. - * Compute 4 MACS at a time. */ - blkCnt = blockSize >> 2; - - while(blkCnt > 0u) - { - /* Perform Multiply-Accumulate */ - in = *pScratchOut + ((q31_t) * px++ * coeff); - *pScratchOut++ = in; - in = *pScratchOut + ((q31_t) * px++ * coeff); - *pScratchOut++ = in; - in = *pScratchOut + ((q31_t) * px++ * coeff); - *pScratchOut++ = in; - in = *pScratchOut + ((q31_t) * px++ * coeff); - *pScratchOut++ = in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, - * compute the remaining samples */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* Perform Multiply-Accumulate */ - in = *pScratchOut + ((q31_t) * px++ * coeff); - *pScratchOut++ = in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = ((int32_t) S->stateIndex - - (int32_t) blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Decrement the tap loop counter */ - tapCnt--; - } - - /* All the output values are in pScratchOut buffer. - Convert them into 1.15 format, saturate and store in the destination buffer. */ - /* Loop over the blockSize. */ - blkCnt = blockSize >> 2; - - while(blkCnt > 0u) - { - in1 = (q7_t) __SSAT(*pScr2++ >> 7, 8); - in2 = (q7_t) __SSAT(*pScr2++ >> 7, 8); - in3 = (q7_t) __SSAT(*pScr2++ >> 7, 8); - in4 = (q7_t) __SSAT(*pScr2++ >> 7, 8); - - *__SIMD32(pOut)++ = __PACKq7(in1, in2, in3, in4); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, - remaining samples are processed in the below loop */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* BlockSize of Input samples are copied into the state buffer */ - /* StateIndex points to the starting position to write in the state buffer */ - arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1, - blockSize); - - /* Loop over the number of taps. */ - tapCnt = numTaps; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb, - (int32_t) blockSize, 1, blockSize); - - /* Working pointer for the scratch buffer of state values */ - px = pb; - - /* Working pointer for scratch buffer of output values */ - pScratchOut = pScr2; - - /* Loop over the blockSize */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* Perform multiplication and store in the scratch buffer */ - *pScratchOut++ = ((q31_t) * px++ * coeff); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Loop over the number of taps. */ - tapCnt = (uint32_t) numTaps - 1u; - - while(tapCnt > 0u) - { - /* Working pointer for state buffer is updated */ - py = pState; - - /* blockSize samples are read from the state buffer */ - arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb, - (int32_t) blockSize, 1, blockSize); - - /* Working pointer for the scratch buffer of state values */ - px = pb; - - /* Working pointer for scratch buffer of output values */ - pScratchOut = pScr2; - - /* Loop over the blockSize */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* Perform Multiply-Accumulate */ - in = *pScratchOut + ((q31_t) * px++ * coeff); - *pScratchOut++ = in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Load the coefficient value and - * increment the coefficient buffer for the next set of state values */ - coeff = *pCoeffs++; - - /* Read Index, from where the state buffer should be read, is calculated. */ - readIndex = - ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; - - /* Wraparound of readIndex */ - if(readIndex < 0) - { - readIndex += (int32_t) delaySize; - } - - /* Decrement the tap loop counter */ - tapCnt--; - } - - /* All the output values are in pScratchOut buffer. - Convert them into 1.15 format, saturate and store in the destination buffer. */ - /* Loop over the blockSize. */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8); - - /* Decrement the blockSize loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of FIR_Sparse group - */
--- a/cmsis_dsp/FilteringFunctions/arm_iir_lattice_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,447 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_iir_lattice_f32.c -* -* Description: Floating-point IIR Lattice filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @defgroup IIR_Lattice Infinite Impulse Response (IIR) Lattice Filters - * - * This set of functions implements lattice filters - * for Q15, Q31 and floating-point data types. Lattice filters are used in a - * variety of adaptive filter applications. The filter structure has feedforward and - * feedback components and the net impulse response is infinite length. - * The functions operate on blocks - * of input and output data and each call to the function processes - * <code>blockSize</code> samples through the filter. <code>pSrc</code> and - * <code>pDst</code> point to input and output arrays containing <code>blockSize</code> values. - - * \par Algorithm: - * \image html IIRLattice.gif "Infinite Impulse Response Lattice filter" - * <pre> - * fN(n) = x(n) - * fm-1(n) = fm(n) - km * gm-1(n-1) for m = N, N-1, ...1 - * gm(n) = km * fm-1(n) + gm-1(n-1) for m = N, N-1, ...1 - * y(n) = vN * gN(n) + vN-1 * gN-1(n) + ...+ v0 * g0(n) - * </pre> - * \par - * <code>pkCoeffs</code> points to array of reflection coefficients of size <code>numStages</code>. - * Reflection coefficients are stored in time-reversed order. - * \par - * <pre> - * {kN, kN-1, ....k1} - * </pre> - * <code>pvCoeffs</code> points to the array of ladder coefficients of size <code>(numStages+1)</code>. - * Ladder coefficients are stored in time-reversed order. - * \par - * <pre> - * {vN, vN-1, ...v0} - * </pre> - * <code>pState</code> points to a state array of size <code>numStages + blockSize</code>. - * The state variables shown in the figure above (the g values) are stored in the <code>pState</code> array. - * The state variables are updated after each block of data is processed; the coefficients are untouched. - * \par Instance Structure - * The coefficients and state variables for a filter are stored together in an instance data structure. - * A separate instance structure must be defined for each filter. - * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. - * There are separate instance structure declarations for each of the 3 supported data types. - * - * \par Initialization Functions - * There is also an associated initialization function for each data type. - * The initialization function performs the following operations: - * - Sets the values of the internal structure fields. - * - Zeros out the values in the state buffer. - * To do this manually without calling the init function, assign the follow subfields of the instance structure: - * numStages, pkCoeffs, pvCoeffs, pState. Also set all of the values in pState to zero. - * - * \par - * Use of the initialization function is optional. - * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. - * To place an instance structure into a const data section, the instance structure must be manually initialized. - * Set the values in the state buffer to zeros and then manually initialize the instance structure as follows: - * <pre> - *arm_iir_lattice_instance_f32 S = {numStages, pState, pkCoeffs, pvCoeffs}; - *arm_iir_lattice_instance_q31 S = {numStages, pState, pkCoeffs, pvCoeffs}; - *arm_iir_lattice_instance_q15 S = {numStages, pState, pkCoeffs, pvCoeffs}; - * </pre> - * \par - * where <code>numStages</code> is the number of stages in the filter; <code>pState</code> points to the state buffer array; - * <code>pkCoeffs</code> points to array of the reflection coefficients; <code>pvCoeffs</code> points to the array of ladder coefficients. - * \par Fixed-Point Behavior - * Care must be taken when using the fixed-point versions of the IIR lattice filter functions. - * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. - * Refer to the function specific documentation below for usage guidelines. - */ - -/** - * @addtogroup IIR_Lattice - * @{ - */ - -/** - * @brief Processing function for the floating-point IIR lattice filter. - * @param[in] *S points to an instance of the floating-point IIR lattice structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - * @return none. - */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - -void arm_iir_lattice_f32( - const arm_iir_lattice_instance_f32 * S, - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - float32_t fnext1, gcurr1, gnext; /* Temporary variables for lattice stages */ - float32_t acc; /* Accumlator */ - uint32_t blkCnt, tapCnt; /* temporary variables for counts */ - float32_t *px1, *px2, *pk, *pv; /* temporary pointers for state and coef */ - uint32_t numStages = S->numStages; /* number of stages */ - float32_t *pState; /* State pointer */ - float32_t *pStateCurnt; /* State current pointer */ - float32_t k1, k2; - float32_t v1, v2, v3, v4; - float32_t gcurr2; - float32_t fnext2; - - /* initialise loop count */ - blkCnt = blockSize; - - /* initialise state pointer */ - pState = &S->pState[0]; - - /* Sample processing */ - while(blkCnt > 0u) - { - /* Read Sample from input buffer */ - /* fN(n) = x(n) */ - fnext2 = *pSrc++; - - /* Initialize Ladder coeff pointer */ - pv = &S->pvCoeffs[0]; - /* Initialize Reflection coeff pointer */ - pk = &S->pkCoeffs[0]; - - /* Initialize state read pointer */ - px1 = pState; - /* Initialize state write pointer */ - px2 = pState; - - /* Set accumulator to zero */ - acc = 0.0; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = (numStages) >> 2; - - while(tapCnt > 0u) - { - /* Read gN-1(n-1) from state buffer */ - gcurr1 = *px1; - - /* read reflection coefficient kN */ - k1 = *pk; - - /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ - fnext1 = fnext2 - (k1 * gcurr1); - - /* read ladder coefficient vN */ - v1 = *pv; - - /* read next reflection coefficient kN-1 */ - k2 = *(pk + 1u); - - /* Read gN-2(n-1) from state buffer */ - gcurr2 = *(px1 + 1u); - - /* read next ladder coefficient vN-1 */ - v2 = *(pv + 1u); - - /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */ - fnext2 = fnext1 - (k2 * gcurr2); - - /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ - gnext = gcurr1 + (k1 * fnext1); - - /* read reflection coefficient kN-2 */ - k1 = *(pk + 2u); - - /* write gN(n) into state for next sample processing */ - *px2++ = gnext; - - /* Read gN-3(n-1) from state buffer */ - gcurr1 = *(px1 + 2u); - - /* y(n) += gN(n) * vN */ - acc += (gnext * v1); - - /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */ - fnext1 = fnext2 - (k1 * gcurr1); - - /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */ - gnext = gcurr2 + (k2 * fnext2); - - /* Read gN-4(n-1) from state buffer */ - gcurr2 = *(px1 + 3u); - - /* y(n) += gN-1(n) * vN-1 */ - acc += (gnext * v2); - - /* read reflection coefficient kN-3 */ - k2 = *(pk + 3u); - - /* write gN-1(n) into state for next sample processing */ - *px2++ = gnext; - - /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */ - fnext2 = fnext1 - (k2 * gcurr2); - - /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */ - gnext = gcurr1 + (k1 * fnext1); - - /* read ladder coefficient vN-2 */ - v3 = *(pv + 2u); - - /* y(n) += gN-2(n) * vN-2 */ - acc += (gnext * v3); - - /* write gN-2(n) into state for next sample processing */ - *px2++ = gnext; - - /* update pointer */ - pk += 4u; - - /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */ - gnext = (fnext2 * k2) + gcurr2; - - /* read next ladder coefficient vN-3 */ - v4 = *(pv + 3u); - - /* y(n) += gN-4(n) * vN-4 */ - acc += (gnext * v4); - - /* write gN-3(n) into state for next sample processing */ - *px2++ = gnext; - - /* update pointers */ - px1 += 4u; - pv += 4u; - - tapCnt--; - - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = (numStages) % 0x4u; - - while(tapCnt > 0u) - { - gcurr1 = *px1++; - /* Process sample for last taps */ - fnext1 = fnext2 - ((*pk) * gcurr1); - gnext = (fnext1 * (*pk++)) + gcurr1; - /* Output samples for last taps */ - acc += (gnext * (*pv++)); - *px2++ = gnext; - fnext2 = fnext1; - - tapCnt--; - - } - - /* y(n) += g0(n) * v0 */ - acc += (fnext2 * (*pv)); - - *px2++ = fnext2; - - /* write out into pDst */ - *pDst++ = acc; - - /* Advance the state pointer by 4 to process the next group of 4 samples */ - pState = pState + 1u; - - blkCnt--; - - } - - /* Processing is complete. Now copy last S->numStages samples to start of the buffer - for the preperation of next frame process */ - - /* Points to the start of the state buffer */ - pStateCurnt = &S->pState[0]; - pState = &S->pState[blockSize]; - - tapCnt = numStages >> 2u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - - } - - /* Calculate remaining number of copies */ - tapCnt = (numStages) % 0x4u; - - /* Copy the remaining q31_t data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } -} - -#else - -void arm_iir_lattice_f32( - const arm_iir_lattice_instance_f32 * S, - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - float32_t fcurr, fnext = 0, gcurr, gnext; /* Temporary variables for lattice stages */ - float32_t acc; /* Accumlator */ - uint32_t blkCnt, tapCnt; /* temporary variables for counts */ - float32_t *px1, *px2, *pk, *pv; /* temporary pointers for state and coef */ - uint32_t numStages = S->numStages; /* number of stages */ - float32_t *pState; /* State pointer */ - float32_t *pStateCurnt; /* State current pointer */ - - - /* Run the below code for Cortex-M0 */ - - blkCnt = blockSize; - - pState = &S->pState[0]; - - /* Sample processing */ - while(blkCnt > 0u) - { - /* Read Sample from input buffer */ - /* fN(n) = x(n) */ - fcurr = *pSrc++; - - /* Initialize state read pointer */ - px1 = pState; - /* Initialize state write pointer */ - px2 = pState; - /* Set accumulator to zero */ - acc = 0.0f; - /* Initialize Ladder coeff pointer */ - pv = &S->pvCoeffs[0]; - /* Initialize Reflection coeff pointer */ - pk = &S->pkCoeffs[0]; - - - /* Process sample for numStages */ - tapCnt = numStages; - - while(tapCnt > 0u) - { - gcurr = *px1++; - /* Process sample for last taps */ - fnext = fcurr - ((*pk) * gcurr); - gnext = (fnext * (*pk++)) + gcurr; - - /* Output samples for last taps */ - acc += (gnext * (*pv++)); - *px2++ = gnext; - fcurr = fnext; - - /* Decrementing loop counter */ - tapCnt--; - - } - - /* y(n) += g0(n) * v0 */ - acc += (fnext * (*pv)); - - *px2++ = fnext; - - /* write out into pDst */ - *pDst++ = acc; - - /* Advance the state pointer by 1 to process the next group of samples */ - pState = pState + 1u; - blkCnt--; - - } - - /* Processing is complete. Now copy last S->numStages samples to start of the buffer - for the preperation of next frame process */ - - /* Points to the start of the state buffer */ - pStateCurnt = &S->pState[0]; - pState = &S->pState[blockSize]; - - tapCnt = numStages; - - /* Copy the data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -} - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - -/** - * @} end of IIR_Lattice group - */
--- a/cmsis_dsp/FilteringFunctions/arm_iir_lattice_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,91 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_iir_lattice_init_f32.c -* -* Description: Floating-point IIR lattice filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup IIR_Lattice - * @{ - */ - -/** - * @brief Initialization function for the floating-point IIR lattice filter. - * @param[in] *S points to an instance of the floating-point IIR lattice structure. - * @param[in] numStages number of stages in the filter. - * @param[in] *pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. - * @param[in] *pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. - * @param[in] *pState points to the state buffer. The array is of length numStages+blockSize. - * @param[in] blockSize number of samples to process. - * @return none. - */ - -void arm_iir_lattice_init_f32( - arm_iir_lattice_instance_f32 * S, - uint16_t numStages, - float32_t * pkCoeffs, - float32_t * pvCoeffs, - float32_t * pState, - uint32_t blockSize) -{ - /* Assign filter taps */ - S->numStages = numStages; - - /* Assign reflection coefficient pointer */ - S->pkCoeffs = pkCoeffs; - - /* Assign ladder coefficient pointer */ - S->pvCoeffs = pvCoeffs; - - /* Clear state buffer and size is always blockSize + numStages */ - memset(pState, 0, (numStages + blockSize) * sizeof(float32_t)); - - /* Assign state pointer */ - S->pState = pState; - - -} - - /** - * @} end of IIR_Lattice group - */
--- a/cmsis_dsp/FilteringFunctions/arm_iir_lattice_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,91 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_iir_lattice_init_q15.c -* -* Description: Q15 IIR lattice filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup IIR_Lattice - * @{ - */ - - /** - * @brief Initialization function for the Q15 IIR lattice filter. - * @param[in] *S points to an instance of the Q15 IIR lattice structure. - * @param[in] numStages number of stages in the filter. - * @param[in] *pkCoeffs points to reflection coefficient buffer. The array is of length numStages. - * @param[in] *pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1. - * @param[in] *pState points to state buffer. The array is of length numStages+blockSize. - * @param[in] blockSize number of samples to process per call. - * @return none. - */ - -void arm_iir_lattice_init_q15( - arm_iir_lattice_instance_q15 * S, - uint16_t numStages, - q15_t * pkCoeffs, - q15_t * pvCoeffs, - q15_t * pState, - uint32_t blockSize) -{ - /* Assign filter taps */ - S->numStages = numStages; - - /* Assign reflection coefficient pointer */ - S->pkCoeffs = pkCoeffs; - - /* Assign ladder coefficient pointer */ - S->pvCoeffs = pvCoeffs; - - /* Clear state buffer and size is always blockSize + numStages */ - memset(pState, 0, (numStages + blockSize) * sizeof(q15_t)); - - /* Assign state pointer */ - S->pState = pState; - - -} - -/** - * @} end of IIR_Lattice group - */
--- a/cmsis_dsp/FilteringFunctions/arm_iir_lattice_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,91 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_iir_lattice_init_q31.c -* -* Description: Initialization function for the Q31 IIR lattice filter. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup IIR_Lattice - * @{ - */ - - /** - * @brief Initialization function for the Q31 IIR lattice filter. - * @param[in] *S points to an instance of the Q31 IIR lattice structure. - * @param[in] numStages number of stages in the filter. - * @param[in] *pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. - * @param[in] *pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. - * @param[in] *pState points to the state buffer. The array is of length numStages+blockSize. - * @param[in] blockSize number of samples to process. - * @return none. - */ - -void arm_iir_lattice_init_q31( - arm_iir_lattice_instance_q31 * S, - uint16_t numStages, - q31_t * pkCoeffs, - q31_t * pvCoeffs, - q31_t * pState, - uint32_t blockSize) -{ - /* Assign filter taps */ - S->numStages = numStages; - - /* Assign reflection coefficient pointer */ - S->pkCoeffs = pkCoeffs; - - /* Assign ladder coefficient pointer */ - S->pvCoeffs = pvCoeffs; - - /* Clear state buffer and size is always blockSize + numStages */ - memset(pState, 0, (numStages + blockSize) * sizeof(q31_t)); - - /* Assign state pointer */ - S->pState = pState; - - -} - -/** - * @} end of IIR_Lattice group - */
--- a/cmsis_dsp/FilteringFunctions/arm_iir_lattice_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,464 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_iir_lattice_q15.c -* -* Description: Q15 IIR lattice filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup IIR_Lattice - * @{ - */ - -/** - * @brief Processing function for the Q15 IIR lattice filter. - * @param[in] *S points to an instance of the Q15 IIR lattice structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using a 64-bit internal accumulator. - * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. - * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. - * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. - * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. - * Lastly, the accumulator is saturated to yield a result in 1.15 format. - */ - -void arm_iir_lattice_q15( - const arm_iir_lattice_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t fcurr, fnext, gcurr = 0, gnext; /* Temporary variables for lattice stages */ - q15_t gnext1, gnext2; /* Temporary variables for lattice stages */ - uint32_t stgCnt; /* Temporary variables for counts */ - q63_t acc; /* Accumlator */ - uint32_t blkCnt, tapCnt; /* Temporary variables for counts */ - q15_t *px1, *px2, *pk, *pv; /* temporary pointers for state and coef */ - uint32_t numStages = S->numStages; /* number of stages */ - q15_t *pState; /* State pointer */ - q15_t *pStateCurnt; /* State current pointer */ - q15_t out; /* Temporary variable for output */ - q31_t v; /* Temporary variable for ladder coefficient */ -#ifdef UNALIGNED_SUPPORT_DISABLE - q15_t v1, v2; -#endif - - - blkCnt = blockSize; - - pState = &S->pState[0]; - - /* Sample processing */ - while(blkCnt > 0u) - { - /* Read Sample from input buffer */ - /* fN(n) = x(n) */ - fcurr = *pSrc++; - - /* Initialize state read pointer */ - px1 = pState; - /* Initialize state write pointer */ - px2 = pState; - /* Set accumulator to zero */ - acc = 0; - /* Initialize Ladder coeff pointer */ - pv = &S->pvCoeffs[0]; - /* Initialize Reflection coeff pointer */ - pk = &S->pkCoeffs[0]; - - - /* Process sample for first tap */ - gcurr = *px1++; - /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ - fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15); - fnext = __SSAT(fnext, 16); - /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ - gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr; - gnext = __SSAT(gnext, 16); - /* write gN(n) into state for next sample processing */ - *px2++ = (q15_t) gnext; - /* y(n) += gN(n) * vN */ - acc += (q31_t) ((gnext * (*pv++))); - - - /* Update f values for next coefficient processing */ - fcurr = fnext; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = (numStages - 1u) >> 2; - - while(tapCnt > 0u) - { - - /* Process sample for 2nd, 6th ...taps */ - /* Read gN-2(n-1) from state buffer */ - gcurr = *px1++; - /* Process sample for 2nd, 6th .. taps */ - /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */ - fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15); - fnext = __SSAT(fnext, 16); - /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */ - gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr; - gnext1 = (q15_t) __SSAT(gnext, 16); - /* write gN-1(n) into state */ - *px2++ = (q15_t) gnext1; - - - /* Process sample for 3nd, 7th ...taps */ - /* Read gN-3(n-1) from state */ - gcurr = *px1++; - /* Process sample for 3rd, 7th .. taps */ - /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */ - fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15); - fcurr = __SSAT(fcurr, 16); - /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */ - gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr; - gnext2 = (q15_t) __SSAT(gnext, 16); - /* write gN-2(n) into state */ - *px2++ = (q15_t) gnext2; - - /* Read vN-1 and vN-2 at a time */ -#ifndef UNALIGNED_SUPPORT_DISABLE - - v = *__SIMD32(pv)++; - -#else - - v1 = *pv++; - v2 = *pv++; - -#ifndef ARM_MATH_BIG_ENDIAN - - v = __PKHBT(v1, v2, 16); - -#else - - v = __PKHBT(v2, v1, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - - /* Pack gN-1(n) and gN-2(n) */ - -#ifndef ARM_MATH_BIG_ENDIAN - - gnext = __PKHBT(gnext1, gnext2, 16); - -#else - - gnext = __PKHBT(gnext2, gnext1, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* y(n) += gN-1(n) * vN-1 */ - /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */ - /* y(n) += gN-2(n) * vN-2 */ - /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */ - acc = __SMLALD(gnext, v, acc); - - - /* Process sample for 4th, 8th ...taps */ - /* Read gN-4(n-1) from state */ - gcurr = *px1++; - /* Process sample for 4th, 8th .. taps */ - /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */ - fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15); - fnext = __SSAT(fnext, 16); - /* gN-3(n) = kN-3 * fN-1(n) + gN-1(n-1) */ - gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr; - gnext1 = (q15_t) __SSAT(gnext, 16); - /* write gN-3(n) for the next sample process */ - *px2++ = (q15_t) gnext1; - - - /* Process sample for 5th, 9th ...taps */ - /* Read gN-5(n-1) from state */ - gcurr = *px1++; - /* Process sample for 5th, 9th .. taps */ - /* fN-5(n) = fN-4(n) - kN-4 * gN-5(n-1) */ - fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15); - fcurr = __SSAT(fcurr, 16); - /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */ - gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr; - gnext2 = (q15_t) __SSAT(gnext, 16); - /* write gN-4(n) for the next sample process */ - *px2++ = (q15_t) gnext2; - - /* Read vN-3 and vN-4 at a time */ -#ifndef UNALIGNED_SUPPORT_DISABLE - - v = *__SIMD32(pv)++; - -#else - - v1 = *pv++; - v2 = *pv++; - -#ifndef ARM_MATH_BIG_ENDIAN - - v = __PKHBT(v1, v2, 16); - -#else - - v = __PKHBT(v2, v1, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - - /* Pack gN-3(n) and gN-4(n) */ -#ifndef ARM_MATH_BIG_ENDIAN - - gnext = __PKHBT(gnext1, gnext2, 16); - -#else - - gnext = __PKHBT(gnext2, gnext1, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* y(n) += gN-4(n) * vN-4 */ - /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */ - /* y(n) += gN-3(n) * vN-3 */ - /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */ - acc = __SMLALD(gnext, v, acc); - - tapCnt--; - - } - - fnext = fcurr; - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = (numStages - 1u) % 0x4u; - - while(tapCnt > 0u) - { - gcurr = *px1++; - /* Process sample for last taps */ - fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15); - fnext = __SSAT(fnext, 16); - gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr; - gnext = __SSAT(gnext, 16); - /* Output samples for last taps */ - acc += (q31_t) (((q31_t) gnext * (*pv++))); - *px2++ = (q15_t) gnext; - fcurr = fnext; - - tapCnt--; - } - - /* y(n) += g0(n) * v0 */ - acc += (q31_t) (((q31_t) fnext * (*pv++))); - - out = (q15_t) __SSAT(acc >> 15, 16); - *px2++ = (q15_t) fnext; - - /* write out into pDst */ - *pDst++ = out; - - /* Advance the state pointer by 4 to process the next group of 4 samples */ - pState = pState + 1u; - blkCnt--; - - } - - /* Processing is complete. Now copy last S->numStages samples to start of the buffer - for the preperation of next frame process */ - /* Points to the start of the state buffer */ - pStateCurnt = &S->pState[0]; - pState = &S->pState[blockSize]; - - stgCnt = (numStages >> 2u); - - /* copy data */ - while(stgCnt > 0u) - { -#ifndef UNALIGNED_SUPPORT_DISABLE - - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; - -#else - - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* Decrement the loop counter */ - stgCnt--; - - } - - /* Calculation of count for remaining q15_t data */ - stgCnt = (numStages) % 0x4u; - - /* copy data */ - while(stgCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - stgCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - q31_t fcurr, fnext = 0, gcurr = 0, gnext; /* Temporary variables for lattice stages */ - uint32_t stgCnt; /* Temporary variables for counts */ - q63_t acc; /* Accumlator */ - uint32_t blkCnt, tapCnt; /* Temporary variables for counts */ - q15_t *px1, *px2, *pk, *pv; /* temporary pointers for state and coef */ - uint32_t numStages = S->numStages; /* number of stages */ - q15_t *pState; /* State pointer */ - q15_t *pStateCurnt; /* State current pointer */ - q15_t out; /* Temporary variable for output */ - - - blkCnt = blockSize; - - pState = &S->pState[0]; - - /* Sample processing */ - while(blkCnt > 0u) - { - /* Read Sample from input buffer */ - /* fN(n) = x(n) */ - fcurr = *pSrc++; - - /* Initialize state read pointer */ - px1 = pState; - /* Initialize state write pointer */ - px2 = pState; - /* Set accumulator to zero */ - acc = 0; - /* Initialize Ladder coeff pointer */ - pv = &S->pvCoeffs[0]; - /* Initialize Reflection coeff pointer */ - pk = &S->pkCoeffs[0]; - - tapCnt = numStages; - - while(tapCnt > 0u) - { - gcurr = *px1++; - /* Process sample */ - /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ - fnext = fcurr - ((gcurr * (*pk)) >> 15); - fnext = __SSAT(fnext, 16); - /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ - gnext = ((fnext * (*pk++)) >> 15) + gcurr; - gnext = __SSAT(gnext, 16); - /* Output samples */ - /* y(n) += gN(n) * vN */ - acc += (q31_t) ((gnext * (*pv++))); - /* write gN(n) into state for next sample processing */ - *px2++ = (q15_t) gnext; - /* Update f values for next coefficient processing */ - fcurr = fnext; - - tapCnt--; - } - - /* y(n) += g0(n) * v0 */ - acc += (q31_t) ((fnext * (*pv++))); - - out = (q15_t) __SSAT(acc >> 15, 16); - *px2++ = (q15_t) fnext; - - /* write out into pDst */ - *pDst++ = out; - - /* Advance the state pointer by 1 to process the next group of samples */ - pState = pState + 1u; - blkCnt--; - - } - - /* Processing is complete. Now copy last S->numStages samples to start of the buffer - for the preperation of next frame process */ - /* Points to the start of the state buffer */ - pStateCurnt = &S->pState[0]; - pState = &S->pState[blockSize]; - - stgCnt = numStages; - - /* copy data */ - while(stgCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - stgCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - - - - -/** - * @} end of IIR_Lattice group - */
--- a/cmsis_dsp/FilteringFunctions/arm_iir_lattice_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,350 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_iir_lattice_q31.c -* -* Description: Q31 IIR lattice filter processing function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup IIR_Lattice - * @{ - */ - -/** - * @brief Processing function for the Q31 IIR lattice filter. - * @param[in] *S points to an instance of the Q31 IIR lattice structure. - * @param[in] *pSrc points to the block of input data. - * @param[out] *pDst points to the block of output data. - * @param[in] blockSize number of samples to process. - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using an internal 64-bit accumulator. - * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. - * Thus, if the accumulator result overflows it wraps around rather than clip. - * In order to avoid overflows completely the input signal must be scaled down by 2*log2(numStages) bits. - * After all multiply-accumulates are performed, the 2.62 accumulator is saturated to 1.32 format and then truncated to 1.31 format. - */ - -void arm_iir_lattice_q31( - const arm_iir_lattice_instance_q31 * S, - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q31_t fcurr, fnext = 0, gcurr = 0, gnext; /* Temporary variables for lattice stages */ - q63_t acc; /* Accumlator */ - uint32_t blkCnt, tapCnt; /* Temporary variables for counts */ - q31_t *px1, *px2, *pk, *pv; /* Temporary pointers for state and coef */ - uint32_t numStages = S->numStages; /* number of stages */ - q31_t *pState; /* State pointer */ - q31_t *pStateCurnt; /* State current pointer */ - - blkCnt = blockSize; - - pState = &S->pState[0]; - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Sample processing */ - while(blkCnt > 0u) - { - /* Read Sample from input buffer */ - /* fN(n) = x(n) */ - fcurr = *pSrc++; - - /* Initialize state read pointer */ - px1 = pState; - /* Initialize state write pointer */ - px2 = pState; - /* Set accumulator to zero */ - acc = 0; - /* Initialize Ladder coeff pointer */ - pv = &S->pvCoeffs[0]; - /* Initialize Reflection coeff pointer */ - pk = &S->pkCoeffs[0]; - - - /* Process sample for first tap */ - gcurr = *px1++; - /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ - fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31)); - /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ - gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31)); - /* write gN-1(n-1) into state for next sample processing */ - *px2++ = gnext; - /* y(n) += gN(n) * vN */ - acc += ((q63_t) gnext * *pv++); - - /* Update f values for next coefficient processing */ - fcurr = fnext; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = (numStages - 1u) >> 2; - - while(tapCnt > 0u) - { - - /* Process sample for 2nd, 6th .. taps */ - /* Read gN-2(n-1) from state buffer */ - gcurr = *px1++; - /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */ - fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31)); - /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */ - gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31)); - /* y(n) += gN-1(n) * vN-1 */ - /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */ - acc += ((q63_t) gnext * *pv++); - /* write gN-1(n) into state for next sample processing */ - *px2++ = gnext; - - /* Process sample for 3nd, 7th ...taps */ - /* Read gN-3(n-1) from state buffer */ - gcurr = *px1++; - /* Process sample for 3rd, 7th .. taps */ - /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */ - fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk)) >> 31)); - /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */ - gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31)); - /* y(n) += gN-2(n) * vN-2 */ - /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */ - acc += ((q63_t) gnext * *pv++); - /* write gN-2(n) into state for next sample processing */ - *px2++ = gnext; - - - /* Process sample for 4th, 8th ...taps */ - /* Read gN-4(n-1) from state buffer */ - gcurr = *px1++; - /* Process sample for 4th, 8th .. taps */ - /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */ - fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31)); - /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */ - gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31)); - /* y(n) += gN-3(n) * vN-3 */ - /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */ - acc += ((q63_t) gnext * *pv++); - /* write gN-3(n) into state for next sample processing */ - *px2++ = gnext; - - - /* Process sample for 5th, 9th ...taps */ - /* Read gN-5(n-1) from state buffer */ - gcurr = *px1++; - /* Process sample for 5th, 9th .. taps */ - /* fN-5(n) = fN-4(n) - kN-4 * gN-1(n-1) */ - fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk)) >> 31)); - /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */ - gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31)); - /* y(n) += gN-4(n) * vN-4 */ - /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */ - acc += ((q63_t) gnext * *pv++); - /* write gN-4(n) into state for next sample processing */ - *px2++ = gnext; - - tapCnt--; - - } - - fnext = fcurr; - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = (numStages - 1u) % 0x4u; - - while(tapCnt > 0u) - { - gcurr = *px1++; - /* Process sample for last taps */ - fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31)); - gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31)); - /* Output samples for last taps */ - acc += ((q63_t) gnext * *pv++); - *px2++ = gnext; - fcurr = fnext; - - tapCnt--; - - } - - /* y(n) += g0(n) * v0 */ - acc += (q63_t) fnext *( - *pv++); - - *px2++ = fnext; - - /* write out into pDst */ - *pDst++ = (q31_t) (acc >> 31u); - - /* Advance the state pointer by 4 to process the next group of 4 samples */ - pState = pState + 1u; - blkCnt--; - - } - - /* Processing is complete. Now copy last S->numStages samples to start of the buffer - for the preperation of next frame process */ - - /* Points to the start of the state buffer */ - pStateCurnt = &S->pState[0]; - pState = &S->pState[blockSize]; - - tapCnt = numStages >> 2u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - - } - - /* Calculate remaining number of copies */ - tapCnt = (numStages) % 0x4u; - - /* Copy the remaining q31_t data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - }; - -#else - - /* Run the below code for Cortex-M0 */ - /* Sample processing */ - while(blkCnt > 0u) - { - /* Read Sample from input buffer */ - /* fN(n) = x(n) */ - fcurr = *pSrc++; - - /* Initialize state read pointer */ - px1 = pState; - /* Initialize state write pointer */ - px2 = pState; - /* Set accumulator to zero */ - acc = 0; - /* Initialize Ladder coeff pointer */ - pv = &S->pvCoeffs[0]; - /* Initialize Reflection coeff pointer */ - pk = &S->pkCoeffs[0]; - - tapCnt = numStages; - - while(tapCnt > 0u) - { - gcurr = *px1++; - /* Process sample */ - /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ - fnext = - clip_q63_to_q31(((q63_t) fcurr - - ((q31_t) (((q63_t) gcurr * (*pk)) >> 31)))); - /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ - gnext = - clip_q63_to_q31(((q63_t) gcurr + - ((q31_t) (((q63_t) fnext * (*pk++)) >> 31)))); - /* Output samples */ - /* y(n) += gN(n) * vN */ - acc += ((q63_t) gnext * *pv++); - /* write gN-1(n-1) into state for next sample processing */ - *px2++ = gnext; - /* Update f values for next coefficient processing */ - fcurr = fnext; - - tapCnt--; - } - - /* y(n) += g0(n) * v0 */ - acc += (q63_t) fnext *( - *pv++); - - *px2++ = fnext; - - /* write out into pDst */ - *pDst++ = (q31_t) (acc >> 31u); - - /* Advance the state pointer by 1 to process the next group of samples */ - pState = pState + 1u; - blkCnt--; - - } - - /* Processing is complete. Now copy last S->numStages samples to start of the buffer - for the preperation of next frame process */ - - /* Points to the start of the state buffer */ - pStateCurnt = &S->pState[0]; - pState = &S->pState[blockSize]; - - tapCnt = numStages; - - /* Copy the remaining q31_t data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - - - - -/** - * @} end of IIR_Lattice group - */
--- a/cmsis_dsp/FilteringFunctions/arm_lms_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,442 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_lms_f32.c -* -* Description: Processing function for the floating-point LMS filter. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @defgroup LMS Least Mean Square (LMS) Filters - * - * LMS filters are a class of adaptive filters that are able to "learn" an unknown transfer functions. - * LMS filters use a gradient descent method in which the filter coefficients are updated based on the instantaneous error signal. - * Adaptive filters are often used in communication systems, equalizers, and noise removal. - * The CMSIS DSP Library contains LMS filter functions that operate on Q15, Q31, and floating-point data types. - * The library also contains normalized LMS filters in which the filter coefficient adaptation is indepedent of the level of the input signal. - * - * An LMS filter consists of two components as shown below. - * The first component is a standard transversal or FIR filter. - * The second component is a coefficient update mechanism. - * The LMS filter has two input signals. - * The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter. - * That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input. - * The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input. - * This "error signal" tends towards zero as the filter adapts. - * The LMS processing functions accept the input and reference input signals and generate the filter output and error signal. - * \image html LMS.gif "Internal structure of the Least Mean Square filter" - * - * The functions operate on blocks of data and each call to the function processes - * <code>blockSize</code> samples through the filter. - * <code>pSrc</code> points to input signal, <code>pRef</code> points to reference signal, - * <code>pOut</code> points to output signal and <code>pErr</code> points to error signal. - * All arrays contain <code>blockSize</code> values. - * - * The functions operate on a block-by-block basis. - * Internally, the filter coefficients <code>b[n]</code> are updated on a sample-by-sample basis. - * The convergence of the LMS filter is slower compared to the normalized LMS algorithm. - * - * \par Algorithm: - * The output signal <code>y[n]</code> is computed by a standard FIR filter: - * <pre> - * y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1] - * </pre> - * - * \par - * The error signal equals the difference between the reference signal <code>d[n]</code> and the filter output: - * <pre> - * e[n] = d[n] - y[n]. - * </pre> - * - * \par - * After each sample of the error signal is computed, the filter coefficients <code>b[k]</code> are updated on a sample-by-sample basis: - * <pre> - * b[k] = b[k] + e[n] * mu * x[n-k], for k=0, 1, ..., numTaps-1 - * </pre> - * where <code>mu</code> is the step size and controls the rate of coefficient convergence. - *\par - * In the APIs, <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>. - * Coefficients are stored in time reversed order. - * \par - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * \par - * <code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>. - * Samples in the state buffer are stored in the order: - * \par - * <pre> - * {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]} - * </pre> - * \par - * Note that the length of the state buffer exceeds the length of the coefficient array by <code>blockSize-1</code> samples. - * The increased state buffer length allows circular addressing, which is traditionally used in FIR filters, - * to be avoided and yields a significant speed improvement. - * The state variables are updated after each block of data is processed. - * \par Instance Structure - * The coefficients and state variables for a filter are stored together in an instance data structure. - * A separate instance structure must be defined for each filter and - * coefficient and state arrays cannot be shared among instances. - * There are separate instance structure declarations for each of the 3 supported data types. - * - * \par Initialization Functions - * There is also an associated initialization function for each data type. - * The initialization function performs the following operations: - * - Sets the values of the internal structure fields. - * - Zeros out the values in the state buffer. - * To do this manually without calling the init function, assign the follow subfields of the instance structure: - * numTaps, pCoeffs, mu, postShift (not for f32), pState. Also set all of the values in pState to zero. - * - * \par - * Use of the initialization function is optional. - * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. - * To place an instance structure into a const data section, the instance structure must be manually initialized. - * Set the values in the state buffer to zeros before static initialization. - * The code below statically initializes each of the 3 different data type filter instance structures - * <pre> - * arm_lms_instance_f32 S = {numTaps, pState, pCoeffs, mu}; - * arm_lms_instance_q31 S = {numTaps, pState, pCoeffs, mu, postShift}; - * arm_lms_instance_q15 S = {numTaps, pState, pCoeffs, mu, postShift}; - * </pre> - * where <code>numTaps</code> is the number of filter coefficients in the filter; <code>pState</code> is the address of the state buffer; - * <code>pCoeffs</code> is the address of the coefficient buffer; <code>mu</code> is the step size parameter; and <code>postShift</code> is the shift applied to coefficients. - * - * \par Fixed-Point Behavior: - * Care must be taken when using the Q15 and Q31 versions of the LMS filter. - * The following issues must be considered: - * - Scaling of coefficients - * - Overflow and saturation - * - * \par Scaling of Coefficients: - * Filter coefficients are represented as fractional values and - * coefficients are restricted to lie in the range <code>[-1 +1)</code>. - * The fixed-point functions have an additional scaling parameter <code>postShift</code>. - * At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits. - * This essentially scales the filter coefficients by <code>2^postShift</code> and - * allows the filter coefficients to exceed the range <code>[+1 -1)</code>. - * The value of <code>postShift</code> is set by the user based on the expected gain through the system being modeled. - * - * \par Overflow and Saturation: - * Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are - * described separately as part of the function specific documentation below. - */ - -/** - * @addtogroup LMS - * @{ - */ - -/** - * @details - * This function operates on floating-point data types. - * - * @brief Processing function for floating-point LMS filter. - * @param[in] *S points to an instance of the floating-point LMS filter structure. - * @param[in] *pSrc points to the block of input data. - * @param[in] *pRef points to the block of reference data. - * @param[out] *pOut points to the block of output data. - * @param[out] *pErr points to the block of error data. - * @param[in] blockSize number of samples to process. - * @return none. - */ - -void arm_lms_f32( - const arm_lms_instance_f32 * S, - float32_t * pSrc, - float32_t * pRef, - float32_t * pOut, - float32_t * pErr, - uint32_t blockSize) -{ - float32_t *pState = S->pState; /* State pointer */ - float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - float32_t *pStateCurnt; /* Points to the current sample of the state */ - float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ - float32_t mu = S->mu; /* Adaptive factor */ - uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ - uint32_t tapCnt, blkCnt; /* Loop counters */ - float32_t sum, e, d; /* accumulator, error, reference data sample */ - float32_t w = 0.0f; /* weight factor */ - - e = 0.0f; - d = 0.0f; - - /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - blkCnt = blockSize; - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - while(blkCnt > 0u) - { - /* Copy the new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Initialize pState pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = (pCoeffs); - - /* Set the accumulator to zero */ - sum = 0.0f; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - sum += (*px++) * (*pb++); - sum += (*px++) * (*pb++); - sum += (*px++) * (*pb++); - sum += (*px++) * (*pb++); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - sum += (*px++) * (*pb++); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* The result in the accumulator, store in the destination buffer. */ - *pOut++ = sum; - - /* Compute and store error */ - d = (float32_t) (*pRef++); - e = d - sum; - *pErr++ = e; - - /* Calculation of Weighting factor for the updating filter coefficients */ - w = e * mu; - - /* Initialize pState pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = (pCoeffs); - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Update filter coefficients */ - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - *pb = *pb + (w * (*px++)); - pb++; - - *pb = *pb + (w * (*px++)); - pb++; - - *pb = *pb + (w * (*px++)); - pb++; - - *pb = *pb + (w * (*px++)); - pb++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - *pb = *pb + (w * (*px++)); - pb++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCnt--; - } - - - /* Processing is complete. Now copy the last numTaps - 1 samples to the - satrt of the state buffer. This prepares the state buffer for the - next function call. */ - - /* Points to the start of the pState buffer */ - pStateCurnt = S->pState; - - /* Loop unrolling for (numTaps - 1u) samples copy */ - tapCnt = (numTaps - 1u) >> 2u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Calculate remaining number of copies */ - tapCnt = (numTaps - 1u) % 0x4u; - - /* Copy the remaining q31_t data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - while(blkCnt > 0u) - { - /* Copy the new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Initialize pState pointer */ - px = pState; - - /* Initialize pCoeffs pointer */ - pb = pCoeffs; - - /* Set the accumulator to zero */ - sum = 0.0f; - - /* Loop over numTaps number of values */ - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - sum += (*px++) * (*pb++); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* The result is stored in the destination buffer. */ - *pOut++ = sum; - - /* Compute and store error */ - d = (float32_t) (*pRef++); - e = d - sum; - *pErr++ = e; - - /* Weighting factor for the LMS version */ - w = e * mu; - - /* Initialize pState pointer */ - px = pState; - - /* Initialize pCoeffs pointer */ - pb = pCoeffs; - - /* Loop over numTaps number of values */ - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - *pb = *pb + (w * (*px++)); - pb++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCnt--; - } - - - /* Processing is complete. Now copy the last numTaps - 1 samples to the - * start of the state buffer. This prepares the state buffer for the - * next function call. */ - - /* Points to the start of the pState buffer */ - pStateCurnt = S->pState; - - /* Copy (numTaps - 1u) samples */ - tapCnt = (numTaps - 1u); - - /* Copy the data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of LMS group - */
--- a/cmsis_dsp/FilteringFunctions/arm_lms_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,95 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_lms_init_f32.c -* -* Description: Floating-point LMS filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @addtogroup LMS - * @{ - */ - - /** - * @brief Initialization function for floating-point LMS filter. - * @param[in] *S points to an instance of the floating-point LMS filter structure. - * @param[in] numTaps number of filter coefficients. - * @param[in] *pCoeffs points to the coefficient buffer. - * @param[in] *pState points to state buffer. - * @param[in] mu step size that controls filter coefficient updates. - * @param[in] blockSize number of samples to process. - * @return none. - */ - -/** - * \par Description: - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * The initial filter coefficients serve as a starting point for the adaptive filter. - * <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_lms_f32()</code>. - */ - -void arm_lms_init_f32( - arm_lms_instance_f32 * S, - uint16_t numTaps, - float32_t * pCoeffs, - float32_t * pState, - float32_t mu, - uint32_t blockSize) -{ - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always blockSize + numTaps */ - memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(float32_t)); - - /* Assign state pointer */ - S->pState = pState; - - /* Assign Step size value */ - S->mu = mu; -} - -/** - * @} end of LMS group - */
--- a/cmsis_dsp/FilteringFunctions/arm_lms_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,105 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_lms_init_q15.c -* -* Description: Q15 LMS filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup LMS - * @{ - */ - -/** -* @brief Initialization function for the Q15 LMS filter. -* @param[in] *S points to an instance of the Q15 LMS filter structure. -* @param[in] numTaps number of filter coefficients. -* @param[in] *pCoeffs points to the coefficient buffer. -* @param[in] *pState points to the state buffer. -* @param[in] mu step size that controls filter coefficient updates. -* @param[in] blockSize number of samples to process. -* @param[in] postShift bit shift applied to coefficients. -* @return none. -* -* \par Description: -* <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: -* <pre> -* {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} -* </pre> -* The initial filter coefficients serve as a starting point for the adaptive filter. -* <code>pState</code> points to the array of state variables and size of array is -* <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of -* input samples processed by each call to <code>arm_lms_q15()</code>. -*/ - -void arm_lms_init_q15( - arm_lms_instance_q15 * S, - uint16_t numTaps, - q15_t * pCoeffs, - q15_t * pState, - q15_t mu, - uint32_t blockSize, - uint32_t postShift) -{ - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always blockSize + numTaps - 1 */ - memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t)); - - /* Assign state pointer */ - S->pState = pState; - - /* Assign Step size value */ - S->mu = mu; - - /* Assign postShift value to be applied */ - S->postShift = postShift; - -} - -/** - * @} end of LMS group - */
--- a/cmsis_dsp/FilteringFunctions/arm_lms_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,105 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_lms_init_q31.c -* -* Description: Q31 LMS filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup LMS - * @{ - */ - - /** - * @brief Initialization function for Q31 LMS filter. - * @param[in] *S points to an instance of the Q31 LMS filter structure. - * @param[in] numTaps number of filter coefficients. - * @param[in] *pCoeffs points to coefficient buffer. - * @param[in] *pState points to state buffer. - * @param[in] mu step size that controls filter coefficient updates. - * @param[in] blockSize number of samples to process. - * @param[in] postShift bit shift applied to coefficients. - * @return none. - * - * \par Description: - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * The initial filter coefficients serve as a starting point for the adaptive filter. - * <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples, - * where <code>blockSize</code> is the number of input samples processed by each call to - * <code>arm_lms_q31()</code>. - */ - -void arm_lms_init_q31( - arm_lms_instance_q31 * S, - uint16_t numTaps, - q31_t * pCoeffs, - q31_t * pState, - q31_t mu, - uint32_t blockSize, - uint32_t postShift) -{ - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always blockSize + numTaps - 1 */ - memset(pState, 0, ((uint32_t) numTaps + (blockSize - 1u)) * sizeof(q31_t)); - - /* Assign state pointer */ - S->pState = pState; - - /* Assign Step size value */ - S->mu = mu; - - /* Assign postShift value to be applied */ - S->postShift = postShift; - -} - -/** - * @} end of LMS group - */
--- a/cmsis_dsp/FilteringFunctions/arm_lms_norm_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,466 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_lms_norm_f32.c -* -* Description: Processing function for the floating-point Normalised LMS. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @defgroup LMS_NORM Normalized LMS Filters - * - * This set of functions implements a commonly used adaptive filter. - * It is related to the Least Mean Square (LMS) adaptive filter and includes an additional normalization - * factor which increases the adaptation rate of the filter. - * The CMSIS DSP Library contains normalized LMS filter functions that operate on Q15, Q31, and floating-point data types. - * - * A normalized least mean square (NLMS) filter consists of two components as shown below. - * The first component is a standard transversal or FIR filter. - * The second component is a coefficient update mechanism. - * The NLMS filter has two input signals. - * The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter. - * That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input. - * The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input. - * This "error signal" tends towards zero as the filter adapts. - * The NLMS processing functions accept the input and reference input signals and generate the filter output and error signal. - * \image html LMS.gif "Internal structure of the NLMS adaptive filter" - * - * The functions operate on blocks of data and each call to the function processes - * <code>blockSize</code> samples through the filter. - * <code>pSrc</code> points to input signal, <code>pRef</code> points to reference signal, - * <code>pOut</code> points to output signal and <code>pErr</code> points to error signal. - * All arrays contain <code>blockSize</code> values. - * - * The functions operate on a block-by-block basis. - * Internally, the filter coefficients <code>b[n]</code> are updated on a sample-by-sample basis. - * The convergence of the LMS filter is slower compared to the normalized LMS algorithm. - * - * \par Algorithm: - * The output signal <code>y[n]</code> is computed by a standard FIR filter: - * <pre> - * y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1] - * </pre> - * - * \par - * The error signal equals the difference between the reference signal <code>d[n]</code> and the filter output: - * <pre> - * e[n] = d[n] - y[n]. - * </pre> - * - * \par - * After each sample of the error signal is computed the instanteous energy of the filter state variables is calculated: - * <pre> - * E = x[n]^2 + x[n-1]^2 + ... + x[n-numTaps+1]^2. - * </pre> - * The filter coefficients <code>b[k]</code> are then updated on a sample-by-sample basis: - * <pre> - * b[k] = b[k] + e[n] * (mu/E) * x[n-k], for k=0, 1, ..., numTaps-1 - * </pre> - * where <code>mu</code> is the step size and controls the rate of coefficient convergence. - *\par - * In the APIs, <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>. - * Coefficients are stored in time reversed order. - * \par - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * \par - * <code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>. - * Samples in the state buffer are stored in the order: - * \par - * <pre> - * {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]} - * </pre> - * \par - * Note that the length of the state buffer exceeds the length of the coefficient array by <code>blockSize-1</code> samples. - * The increased state buffer length allows circular addressing, which is traditionally used in FIR filters, - * to be avoided and yields a significant speed improvement. - * The state variables are updated after each block of data is processed. - * \par Instance Structure - * The coefficients and state variables for a filter are stored together in an instance data structure. - * A separate instance structure must be defined for each filter and - * coefficient and state arrays cannot be shared among instances. - * There are separate instance structure declarations for each of the 3 supported data types. - * - * \par Initialization Functions - * There is also an associated initialization function for each data type. - * The initialization function performs the following operations: - * - Sets the values of the internal structure fields. - * - Zeros out the values in the state buffer. - * To do this manually without calling the init function, assign the follow subfields of the instance structure: - * numTaps, pCoeffs, mu, energy, x0, pState. Also set all of the values in pState to zero. - * For Q7, Q15, and Q31 the following fields must also be initialized; - * recipTable, postShift - * - * \par - * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function. - * \par Fixed-Point Behavior: - * Care must be taken when using the Q15 and Q31 versions of the normalised LMS filter. - * The following issues must be considered: - * - Scaling of coefficients - * - Overflow and saturation - * - * \par Scaling of Coefficients: - * Filter coefficients are represented as fractional values and - * coefficients are restricted to lie in the range <code>[-1 +1)</code>. - * The fixed-point functions have an additional scaling parameter <code>postShift</code>. - * At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits. - * This essentially scales the filter coefficients by <code>2^postShift</code> and - * allows the filter coefficients to exceed the range <code>[+1 -1)</code>. - * The value of <code>postShift</code> is set by the user based on the expected gain through the system being modeled. - * - * \par Overflow and Saturation: - * Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are - * described separately as part of the function specific documentation below. - */ - - -/** - * @addtogroup LMS_NORM - * @{ - */ - - - /** - * @brief Processing function for floating-point normalized LMS filter. - * @param[in] *S points to an instance of the floating-point normalized LMS filter structure. - * @param[in] *pSrc points to the block of input data. - * @param[in] *pRef points to the block of reference data. - * @param[out] *pOut points to the block of output data. - * @param[out] *pErr points to the block of error data. - * @param[in] blockSize number of samples to process. - * @return none. - */ - -void arm_lms_norm_f32( - arm_lms_norm_instance_f32 * S, - float32_t * pSrc, - float32_t * pRef, - float32_t * pOut, - float32_t * pErr, - uint32_t blockSize) -{ - float32_t *pState = S->pState; /* State pointer */ - float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - float32_t *pStateCurnt; /* Points to the current sample of the state */ - float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ - float32_t mu = S->mu; /* Adaptive factor */ - uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ - uint32_t tapCnt, blkCnt; /* Loop counters */ - float32_t energy; /* Energy of the input */ - float32_t sum, e, d; /* accumulator, error, reference data sample */ - float32_t w, x0, in; /* weight factor, temporary variable to hold input sample and state */ - - /* Initializations of error, difference, Coefficient update */ - e = 0.0f; - d = 0.0f; - w = 0.0f; - - energy = S->energy; - x0 = S->x0; - - /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - while(blkCnt > 0u) - { - /* Copy the new input sample into the state buffer */ - *pStateCurnt++ = *pSrc; - - /* Initialize pState pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = (pCoeffs); - - /* Read the sample from input buffer */ - in = *pSrc++; - - /* Update the energy calculation */ - energy -= x0 * x0; - energy += in * in; - - /* Set the accumulator to zero */ - sum = 0.0f; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - sum += (*px++) * (*pb++); - sum += (*px++) * (*pb++); - sum += (*px++) * (*pb++); - sum += (*px++) * (*pb++); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - sum += (*px++) * (*pb++); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* The result in the accumulator, store in the destination buffer. */ - *pOut++ = sum; - - /* Compute and store error */ - d = (float32_t) (*pRef++); - e = d - sum; - *pErr++ = e; - - /* Calculation of Weighting factor for updating filter coefficients */ - /* epsilon value 0.000000119209289f */ - w = (e * mu) / (energy + 0.000000119209289f); - - /* Initialize pState pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = (pCoeffs); - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Update filter coefficients */ - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - *pb += w * (*px++); - pb++; - - *pb += w * (*px++); - pb++; - - *pb += w * (*px++); - pb++; - - *pb += w * (*px++); - pb++; - - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - *pb += w * (*px++); - pb++; - - /* Decrement the loop counter */ - tapCnt--; - } - - x0 = *pState; - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCnt--; - } - - S->energy = energy; - S->x0 = x0; - - /* Processing is complete. Now copy the last numTaps - 1 samples to the - satrt of the state buffer. This prepares the state buffer for the - next function call. */ - - /* Points to the start of the pState buffer */ - pStateCurnt = S->pState; - - /* Loop unrolling for (numTaps - 1u)/4 samples copy */ - tapCnt = (numTaps - 1u) >> 2u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Calculate remaining number of copies */ - tapCnt = (numTaps - 1u) % 0x4u; - - /* Copy the remaining q31_t data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - while(blkCnt > 0u) - { - /* Copy the new input sample into the state buffer */ - *pStateCurnt++ = *pSrc; - - /* Initialize pState pointer */ - px = pState; - - /* Initialize pCoeffs pointer */ - pb = pCoeffs; - - /* Read the sample from input buffer */ - in = *pSrc++; - - /* Update the energy calculation */ - energy -= x0 * x0; - energy += in * in; - - /* Set the accumulator to zero */ - sum = 0.0f; - - /* Loop over numTaps number of values */ - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - sum += (*px++) * (*pb++); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* The result in the accumulator is stored in the destination buffer. */ - *pOut++ = sum; - - /* Compute and store error */ - d = (float32_t) (*pRef++); - e = d - sum; - *pErr++ = e; - - /* Calculation of Weighting factor for updating filter coefficients */ - /* epsilon value 0.000000119209289f */ - w = (e * mu) / (energy + 0.000000119209289f); - - /* Initialize pState pointer */ - px = pState; - - /* Initialize pCcoeffs pointer */ - pb = pCoeffs; - - /* Loop over numTaps number of values */ - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - *pb += w * (*px++); - pb++; - - /* Decrement the loop counter */ - tapCnt--; - } - - x0 = *pState; - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCnt--; - } - - S->energy = energy; - S->x0 = x0; - - /* Processing is complete. Now copy the last numTaps - 1 samples to the - satrt of the state buffer. This prepares the state buffer for the - next function call. */ - - /* Points to the start of the pState buffer */ - pStateCurnt = S->pState; - - /* Copy (numTaps - 1u) samples */ - tapCnt = (numTaps - 1u); - - /* Copy the remaining q31_t data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of LMS_NORM group - */
--- a/cmsis_dsp/FilteringFunctions/arm_lms_norm_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,105 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_lms_norm_init_f32.c -* -* Description: Floating-point NLMS filter initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup LMS_NORM - * @{ - */ - - /** - * @brief Initialization function for floating-point normalized LMS filter. - * @param[in] *S points to an instance of the floating-point LMS filter structure. - * @param[in] numTaps number of filter coefficients. - * @param[in] *pCoeffs points to coefficient buffer. - * @param[in] *pState points to state buffer. - * @param[in] mu step size that controls filter coefficient updates. - * @param[in] blockSize number of samples to process. - * @return none. - * - * \par Description: - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * The initial filter coefficients serve as a starting point for the adaptive filter. - * <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples, - * where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_lms_norm_f32()</code>. - */ - -void arm_lms_norm_init_f32( - arm_lms_norm_instance_f32 * S, - uint16_t numTaps, - float32_t * pCoeffs, - float32_t * pState, - float32_t mu, - uint32_t blockSize) -{ - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always blockSize + numTaps - 1 */ - memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(float32_t)); - - /* Assign state pointer */ - S->pState = pState; - - /* Assign Step size value */ - S->mu = mu; - - /* Initialise Energy to zero */ - S->energy = 0.0f; - - /* Initialise x0 to zero */ - S->x0 = 0.0f; - -} - -/** - * @} end of LMS_NORM group - */
--- a/cmsis_dsp/FilteringFunctions/arm_lms_norm_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,112 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_lms_norm_init_q15.c -* -* Description: Q15 NLMS initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" -#include "arm_common_tables.h" - -/** - * @addtogroup LMS_NORM - * @{ - */ - - /** - * @brief Initialization function for Q15 normalized LMS filter. - * @param[in] *S points to an instance of the Q15 normalized LMS filter structure. - * @param[in] numTaps number of filter coefficients. - * @param[in] *pCoeffs points to coefficient buffer. - * @param[in] *pState points to state buffer. - * @param[in] mu step size that controls filter coefficient updates. - * @param[in] blockSize number of samples to process. - * @param[in] postShift bit shift applied to coefficients. - * @return none. - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * The initial filter coefficients serve as a starting point for the adaptive filter. - * <code>pState</code> points to the array of state variables and size of array is - * <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed - * by each call to <code>arm_lms_norm_q15()</code>. - */ - -void arm_lms_norm_init_q15( - arm_lms_norm_instance_q15 * S, - uint16_t numTaps, - q15_t * pCoeffs, - q15_t * pState, - q15_t mu, - uint32_t blockSize, - uint8_t postShift) -{ - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always blockSize + numTaps - 1 */ - memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q15_t)); - - /* Assign post Shift value applied to coefficients */ - S->postShift = postShift; - - /* Assign state pointer */ - S->pState = pState; - - /* Assign Step size value */ - S->mu = mu; - - /* Initialize reciprocal pointer table */ - S->recipTable = (q15_t *) armRecipTableQ15; - - /* Initialise Energy to zero */ - S->energy = 0; - - /* Initialise x0 to zero */ - S->x0 = 0; - -} - -/** - * @} end of LMS_NORM group - */
--- a/cmsis_dsp/FilteringFunctions/arm_lms_norm_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,111 +0,0 @@ -/*----------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_lms_norm_init_q31.c -* -* Description: Q31 NLMS initialization function. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------*/ - -#include "arm_math.h" -#include "arm_common_tables.h" - -/** - * @addtogroup LMS_NORM - * @{ - */ - - /** - * @brief Initialization function for Q31 normalized LMS filter. - * @param[in] *S points to an instance of the Q31 normalized LMS filter structure. - * @param[in] numTaps number of filter coefficients. - * @param[in] *pCoeffs points to coefficient buffer. - * @param[in] *pState points to state buffer. - * @param[in] mu step size that controls filter coefficient updates. - * @param[in] blockSize number of samples to process. - * @param[in] postShift bit shift applied to coefficients. - * @return none. - * - * <b>Description:</b> - * \par - * <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order: - * <pre> - * {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]} - * </pre> - * The initial filter coefficients serve as a starting point for the adaptive filter. - * <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples, - * where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_lms_norm_q31()</code>. - */ - -void arm_lms_norm_init_q31( - arm_lms_norm_instance_q31 * S, - uint16_t numTaps, - q31_t * pCoeffs, - q31_t * pState, - q31_t mu, - uint32_t blockSize, - uint8_t postShift) -{ - /* Assign filter taps */ - S->numTaps = numTaps; - - /* Assign coefficient pointer */ - S->pCoeffs = pCoeffs; - - /* Clear state buffer and size is always blockSize + numTaps - 1 */ - memset(pState, 0, (numTaps + (blockSize - 1u)) * sizeof(q31_t)); - - /* Assign post Shift value applied to coefficients */ - S->postShift = postShift; - - /* Assign state pointer */ - S->pState = pState; - - /* Assign Step size value */ - S->mu = mu; - - /* Initialize reciprocal pointer table */ - S->recipTable = (q31_t *) armRecipTableQ31; - - /* Initialise Energy to zero */ - S->energy = 0; - - /* Initialise x0 to zero */ - S->x0 = 0; - -} - -/** - * @} end of LMS_NORM group - */
--- a/cmsis_dsp/FilteringFunctions/arm_lms_norm_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,440 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_lms_norm_q15.c -* -* Description: Q15 NLMS filter. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup LMS_NORM - * @{ - */ - -/** -* @brief Processing function for Q15 normalized LMS filter. -* @param[in] *S points to an instance of the Q15 normalized LMS filter structure. -* @param[in] *pSrc points to the block of input data. -* @param[in] *pRef points to the block of reference data. -* @param[out] *pOut points to the block of output data. -* @param[out] *pErr points to the block of error data. -* @param[in] blockSize number of samples to process. -* @return none. -* -* <b>Scaling and Overflow Behavior:</b> -* \par -* The function is implemented using a 64-bit internal accumulator. -* Both coefficients and state variables are represented in 1.15 format and -* multiplications yield a 2.30 result. The 2.30 intermediate results are -* accumulated in a 64-bit accumulator in 34.30 format. -* There is no risk of internal overflow with this approach and the full -* precision of intermediate multiplications is preserved. After all additions -* have been performed, the accumulator is truncated to 34.15 format by -* discarding low 15 bits. Lastly, the accumulator is saturated to yield a -* result in 1.15 format. -* -* \par -* In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted. -* - */ - -void arm_lms_norm_q15( - arm_lms_norm_instance_q15 * S, - q15_t * pSrc, - q15_t * pRef, - q15_t * pOut, - q15_t * pErr, - uint32_t blockSize) -{ - q15_t *pState = S->pState; /* State pointer */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *pStateCurnt; /* Points to the current sample of the state */ - q15_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ - q15_t mu = S->mu; /* Adaptive factor */ - uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ - uint32_t tapCnt, blkCnt; /* Loop counters */ - q31_t energy; /* Energy of the input */ - q63_t acc; /* Accumulator */ - q15_t e = 0, d = 0; /* error, reference data sample */ - q15_t w = 0, in; /* weight factor and state */ - q15_t x0; /* temporary variable to hold input sample */ - //uint32_t shift = (uint32_t) S->postShift + 1u; /* Shift to be applied to the output */ - q15_t errorXmu, oneByEnergy; /* Temporary variables to store error and mu product and reciprocal of energy */ - q15_t postShift; /* Post shift to be applied to weight after reciprocal calculation */ - q31_t coef; /* Teporary variable for coefficient */ - q31_t acc_l, acc_h; - int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */ - int32_t uShift = (32 - lShift); - - energy = S->energy; - x0 = S->x0; - - /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - while(blkCnt > 0u) - { - /* Copy the new input sample into the state buffer */ - *pStateCurnt++ = *pSrc; - - /* Initialize pState pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = (pCoeffs); - - /* Read the sample from input buffer */ - in = *pSrc++; - - /* Update the energy calculation */ - energy -= (((q31_t) x0 * (x0)) >> 15); - energy += (((q31_t) in * (in)) >> 15); - - /* Set the accumulator to zero */ - acc = 0; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - while(tapCnt > 0u) - { - - /* Perform the multiply-accumulate */ -#ifndef UNALIGNED_SUPPORT_DISABLE - - acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc); - acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc); - -#else - - acc += (((q31_t) * px++ * (*pb++))); - acc += (((q31_t) * px++ * (*pb++))); - acc += (((q31_t) * px++ * (*pb++))); - acc += (((q31_t) * px++ * (*pb++))); - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - acc += (((q31_t) * px++ * (*pb++))); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - acc = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Converting the result to 1.15 format and saturate the output */ - acc = __SSAT(acc, 16u); - - /* Store the result from accumulator into the destination buffer. */ - *pOut++ = (q15_t) acc; - - /* Compute and store error */ - d = *pRef++; - e = d - (q15_t) acc; - *pErr++ = e; - - /* Calculation of 1/energy */ - postShift = arm_recip_q15((q15_t) energy + DELTA_Q15, - &oneByEnergy, S->recipTable); - - /* Calculation of e * mu value */ - errorXmu = (q15_t) (((q31_t) e * mu) >> 15); - - /* Calculation of (e * mu) * (1/energy) value */ - acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift)); - - /* Weighting factor for the normalized version */ - w = (q15_t) __SSAT((q31_t) acc, 16); - - /* Initialize pState pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = (pCoeffs); - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Update filter coefficients */ - while(tapCnt > 0u) - { - coef = *pb + (((q31_t) w * (*px++)) >> 15); - *pb++ = (q15_t) __SSAT((coef), 16); - coef = *pb + (((q31_t) w * (*px++)) >> 15); - *pb++ = (q15_t) __SSAT((coef), 16); - coef = *pb + (((q31_t) w * (*px++)) >> 15); - *pb++ = (q15_t) __SSAT((coef), 16); - coef = *pb + (((q31_t) w * (*px++)) >> 15); - *pb++ = (q15_t) __SSAT((coef), 16); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - coef = *pb + (((q31_t) w * (*px++)) >> 15); - *pb++ = (q15_t) __SSAT((coef), 16); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Read the sample from state buffer */ - x0 = *pState; - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Save energy and x0 values for the next frame */ - S->energy = (q15_t) energy; - S->x0 = x0; - - /* Processing is complete. Now copy the last numTaps - 1 samples to the - satrt of the state buffer. This prepares the state buffer for the - next function call. */ - - /* Points to the start of the pState buffer */ - pStateCurnt = S->pState; - - /* Calculation of count for copying integer writes */ - tapCnt = (numTaps - 1u) >> 2; - - while(tapCnt > 0u) - { - -#ifndef UNALIGNED_SUPPORT_DISABLE - - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; - -#else - - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - -#endif - - tapCnt--; - - } - - /* Calculation of count for remaining q15_t data */ - tapCnt = (numTaps - 1u) % 0x4u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - while(blkCnt > 0u) - { - /* Copy the new input sample into the state buffer */ - *pStateCurnt++ = *pSrc; - - /* Initialize pState pointer */ - px = pState; - - /* Initialize pCoeffs pointer */ - pb = pCoeffs; - - /* Read the sample from input buffer */ - in = *pSrc++; - - /* Update the energy calculation */ - energy -= (((q31_t) x0 * (x0)) >> 15); - energy += (((q31_t) in * (in)) >> 15); - - /* Set the accumulator to zero */ - acc = 0; - - /* Loop over numTaps number of values */ - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - acc += (((q31_t) * px++ * (*pb++))); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - acc = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Converting the result to 1.15 format and saturate the output */ - acc = __SSAT(acc, 16u); - - /* Converting the result to 1.15 format */ - //acc = __SSAT((acc >> (16u - shift)), 16u); - - /* Store the result from accumulator into the destination buffer. */ - *pOut++ = (q15_t) acc; - - /* Compute and store error */ - d = *pRef++; - e = d - (q15_t) acc; - *pErr++ = e; - - /* Calculation of 1/energy */ - postShift = arm_recip_q15((q15_t) energy + DELTA_Q15, - &oneByEnergy, S->recipTable); - - /* Calculation of e * mu value */ - errorXmu = (q15_t) (((q31_t) e * mu) >> 15); - - /* Calculation of (e * mu) * (1/energy) value */ - acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift)); - - /* Weighting factor for the normalized version */ - w = (q15_t) __SSAT((q31_t) acc, 16); - - /* Initialize pState pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = (pCoeffs); - - /* Loop over numTaps number of values */ - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - coef = *pb + (((q31_t) w * (*px++)) >> 15); - *pb++ = (q15_t) __SSAT((coef), 16); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Read the sample from state buffer */ - x0 = *pState; - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Save energy and x0 values for the next frame */ - S->energy = (q15_t) energy; - S->x0 = x0; - - /* Processing is complete. Now copy the last numTaps - 1 samples to the - satrt of the state buffer. This prepares the state buffer for the - next function call. */ - - /* Points to the start of the pState buffer */ - pStateCurnt = S->pState; - - /* copy (numTaps - 1u) data */ - tapCnt = (numTaps - 1u); - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - - -/** - * @} end of LMS_NORM group - */
--- a/cmsis_dsp/FilteringFunctions/arm_lms_norm_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,431 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_lms_norm_q31.c -* -* Description: Processing function for the Q31 NLMS filter. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup LMS_NORM - * @{ - */ - -/** -* @brief Processing function for Q31 normalized LMS filter. -* @param[in] *S points to an instance of the Q31 normalized LMS filter structure. -* @param[in] *pSrc points to the block of input data. -* @param[in] *pRef points to the block of reference data. -* @param[out] *pOut points to the block of output data. -* @param[out] *pErr points to the block of error data. -* @param[in] blockSize number of samples to process. -* @return none. -* -* <b>Scaling and Overflow Behavior:</b> -* \par -* The function is implemented using an internal 64-bit accumulator. -* The accumulator has a 2.62 format and maintains full precision of the intermediate -* multiplication results but provides only a single guard bit. -* Thus, if the accumulator result overflows it wraps around rather than clip. -* In order to avoid overflows completely the input signal must be scaled down by -* log2(numTaps) bits. The reference signal should not be scaled down. -* After all multiply-accumulates are performed, the 2.62 accumulator is shifted -* and saturated to 1.31 format to yield the final result. -* The output signal and error signal are in 1.31 format. -* -* \par -* In this filter, filter coefficients are updated for each sample and the -* updation of filter cofficients are saturted. -* -*/ - -void arm_lms_norm_q31( - arm_lms_norm_instance_q31 * S, - q31_t * pSrc, - q31_t * pRef, - q31_t * pOut, - q31_t * pErr, - uint32_t blockSize) -{ - q31_t *pState = S->pState; /* State pointer */ - q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q31_t *pStateCurnt; /* Points to the current sample of the state */ - q31_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ - q31_t mu = S->mu; /* Adaptive factor */ - uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ - uint32_t tapCnt, blkCnt; /* Loop counters */ - q63_t energy; /* Energy of the input */ - q63_t acc; /* Accumulator */ - q31_t e = 0, d = 0; /* error, reference data sample */ - q31_t w = 0, in; /* weight factor and state */ - q31_t x0; /* temporary variable to hold input sample */ -// uint32_t shift = 32u - ((uint32_t) S->postShift + 1u); /* Shift to be applied to the output */ - q31_t errorXmu, oneByEnergy; /* Temporary variables to store error and mu product and reciprocal of energy */ - q31_t postShift; /* Post shift to be applied to weight after reciprocal calculation */ - q31_t coef; /* Temporary variable for coef */ - q31_t acc_l, acc_h; /* temporary input */ - uint32_t uShift = ((uint32_t) S->postShift + 1u); - uint32_t lShift = 32u - uShift; /* Shift to be applied to the output */ - - energy = S->energy; - x0 = S->x0; - - /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - while(blkCnt > 0u) - { - - /* Copy the new input sample into the state buffer */ - *pStateCurnt++ = *pSrc; - - /* Initialize pState pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = (pCoeffs); - - /* Read the sample from input buffer */ - in = *pSrc++; - - /* Update the energy calculation */ - energy = (q31_t) ((((q63_t) energy << 32) - - (((q63_t) x0 * x0) << 1)) >> 32); - energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32); - - /* Set the accumulator to zero */ - acc = 0; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - acc += ((q63_t) (*px++)) * (*pb++); - acc += ((q63_t) (*px++)) * (*pb++); - acc += ((q63_t) (*px++)) * (*pb++); - acc += ((q63_t) (*px++)) * (*pb++); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - acc += ((q63_t) (*px++)) * (*pb++); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Converting the result to 1.31 format */ - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - acc = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Store the result from accumulator into the destination buffer. */ - *pOut++ = (q31_t) acc; - - /* Compute and store error */ - d = *pRef++; - e = d - (q31_t) acc; - *pErr++ = e; - - /* Calculates the reciprocal of energy */ - postShift = arm_recip_q31(energy + DELTA_Q31, - &oneByEnergy, &S->recipTable[0]); - - /* Calculation of product of (e * mu) */ - errorXmu = (q31_t) (((q63_t) e * mu) >> 31); - - /* Weighting factor for the normalized version */ - w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift)); - - /* Initialize pState pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = (pCoeffs); - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Update filter coefficients */ - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - - /* coef is in 2.30 format */ - coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); - /* get coef in 1.31 format by left shifting */ - *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u)); - /* update coefficient buffer to next coefficient */ - pb++; - - coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); - *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u)); - pb++; - - coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); - *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u)); - pb++; - - coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); - *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u)); - pb++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); - *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u)); - pb++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Read the sample from state buffer */ - x0 = *pState; - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Save energy and x0 values for the next frame */ - S->energy = (q31_t) energy; - S->x0 = x0; - - /* Processing is complete. Now copy the last numTaps - 1 samples to the - satrt of the state buffer. This prepares the state buffer for the - next function call. */ - - /* Points to the start of the pState buffer */ - pStateCurnt = S->pState; - - /* Loop unrolling for (numTaps - 1u) samples copy */ - tapCnt = (numTaps - 1u) >> 2u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Calculate remaining number of copies */ - tapCnt = (numTaps - 1u) % 0x4u; - - /* Copy the remaining q31_t data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - while(blkCnt > 0u) - { - - /* Copy the new input sample into the state buffer */ - *pStateCurnt++ = *pSrc; - - /* Initialize pState pointer */ - px = pState; - - /* Initialize pCoeffs pointer */ - pb = pCoeffs; - - /* Read the sample from input buffer */ - in = *pSrc++; - - /* Update the energy calculation */ - energy = - (q31_t) ((((q63_t) energy << 32) - (((q63_t) x0 * x0) << 1)) >> 32); - energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32); - - /* Set the accumulator to zero */ - acc = 0; - - /* Loop over numTaps number of values */ - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - acc += ((q63_t) (*px++)) * (*pb++); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Converting the result to 1.31 format */ - /* Converting the result to 1.31 format */ - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - acc = (uint32_t) acc_l >> lShift | acc_h << uShift; - - - //acc = (q31_t) (acc >> shift); - - /* Store the result from accumulator into the destination buffer. */ - *pOut++ = (q31_t) acc; - - /* Compute and store error */ - d = *pRef++; - e = d - (q31_t) acc; - *pErr++ = e; - - /* Calculates the reciprocal of energy */ - postShift = - arm_recip_q31(energy + DELTA_Q31, &oneByEnergy, &S->recipTable[0]); - - /* Calculation of product of (e * mu) */ - errorXmu = (q31_t) (((q63_t) e * mu) >> 31); - - /* Weighting factor for the normalized version */ - w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift)); - - /* Initialize pState pointer */ - px = pState; - - /* Initialize coeff pointer */ - pb = (pCoeffs); - - /* Loop over numTaps number of values */ - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - /* coef is in 2.30 format */ - coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); - /* get coef in 1.31 format by left shifting */ - *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u)); - /* update coefficient buffer to next coefficient */ - pb++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Read the sample from state buffer */ - x0 = *pState; - - /* Advance state pointer by 1 for the next sample */ - pState = pState + 1; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Save energy and x0 values for the next frame */ - S->energy = (q31_t) energy; - S->x0 = x0; - - /* Processing is complete. Now copy the last numTaps - 1 samples to the - start of the state buffer. This prepares the state buffer for the - next function call. */ - - /* Points to the start of the pState buffer */ - pStateCurnt = S->pState; - - /* Loop for (numTaps - 1u) samples copy */ - tapCnt = (numTaps - 1u); - - /* Copy the remaining q31_t data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of LMS_NORM group - */
--- a/cmsis_dsp/FilteringFunctions/arm_lms_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,379 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_lms_q15.c -* -* Description: Processing function for the Q15 LMS filter. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup LMS - * @{ - */ - - /** - * @brief Processing function for Q15 LMS filter. - * @param[in] *S points to an instance of the Q15 LMS filter structure. - * @param[in] *pSrc points to the block of input data. - * @param[in] *pRef points to the block of reference data. - * @param[out] *pOut points to the block of output data. - * @param[out] *pErr points to the block of error data. - * @param[in] blockSize number of samples to process. - * @return none. - * - * \par Scaling and Overflow Behavior: - * The function is implemented using a 64-bit internal accumulator. - * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. - * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. - * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. - * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. - * Lastly, the accumulator is saturated to yield a result in 1.15 format. - * - * \par - * In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted. - * - */ - -void arm_lms_q15( - const arm_lms_instance_q15 * S, - q15_t * pSrc, - q15_t * pRef, - q15_t * pOut, - q15_t * pErr, - uint32_t blockSize) -{ - q15_t *pState = S->pState; /* State pointer */ - uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ - q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q15_t *pStateCurnt; /* Points to the current sample of the state */ - q15_t mu = S->mu; /* Adaptive factor */ - q15_t *px; /* Temporary pointer for state */ - q15_t *pb; /* Temporary pointer for coefficient buffer */ - uint32_t tapCnt, blkCnt; /* Loop counters */ - q63_t acc; /* Accumulator */ - q15_t e = 0; /* error of data sample */ - q15_t alpha; /* Intermediate constant for taps update */ - q31_t acc_l, acc_h; - int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */ - int32_t uShift = (32 - lShift); - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t coef; /* Teporary variable for coefficient */ - - /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Initializing blkCnt with blockSize */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* Copy the new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coefficient pointer */ - pb = pCoeffs; - - /* Set the accumulator to zero */ - acc = 0; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2u; - - while(tapCnt > 0u) - { - /* acc += b[N] * x[n-N] + b[N-1] * x[n-N-1] */ - /* Perform the multiply-accumulate */ -#ifndef UNALIGNED_SUPPORT_DISABLE - - acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc); - acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc); - -#else - - acc += (q63_t) (((q31_t) (*px++) * (*pb++))); - acc += (q63_t) (((q31_t) (*px++) * (*pb++))); - acc += (q63_t) (((q31_t) (*px++) * (*pb++))); - acc += (q63_t) (((q31_t) (*px++) * (*pb++))); - - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - acc += (q63_t) (((q31_t) (*px++) * (*pb++))); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - acc = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Converting the result to 1.15 format and saturate the output */ - acc = __SSAT(acc, 16); - - /* Store the result from accumulator into the destination buffer. */ - *pOut++ = (q15_t) acc; - - /* Compute and store error */ - e = *pRef++ - (q15_t) acc; - - *pErr++ = (q15_t) e; - - /* Compute alpha i.e. intermediate constant for taps update */ - alpha = (q15_t) (((q31_t) e * (mu)) >> 15); - - /* Initialize state pointer */ - /* Advance state pointer by 1 for the next sample */ - px = pState++; - - /* Initialize coefficient pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2u; - - /* Update filter coefficients */ - while(tapCnt > 0u) - { - coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15); - *pb++ = (q15_t) __SSAT((coef), 16); - coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15); - *pb++ = (q15_t) __SSAT((coef), 16); - coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15); - *pb++ = (q15_t) __SSAT((coef), 16); - coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15); - *pb++ = (q15_t) __SSAT((coef), 16); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15); - *pb++ = (q15_t) __SSAT((coef), 16); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Decrement the loop counter */ - blkCnt--; - - } - - /* Processing is complete. Now copy the last numTaps - 1 samples to the - satrt of the state buffer. This prepares the state buffer for the - next function call. */ - - /* Points to the start of the pState buffer */ - pStateCurnt = S->pState; - - /* Calculation of count for copying integer writes */ - tapCnt = (numTaps - 1u) >> 2; - - while(tapCnt > 0u) - { - -#ifndef UNALIGNED_SUPPORT_DISABLE - - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; - *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; -#else - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; -#endif - - tapCnt--; - - } - - /* Calculation of count for remaining q15_t data */ - tapCnt = (numTaps - 1u) % 0x4u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* Copy the new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Initialize pState pointer */ - px = pState; - - /* Initialize pCoeffs pointer */ - pb = pCoeffs; - - /* Set the accumulator to zero */ - acc = 0; - - /* Loop over numTaps number of values */ - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - acc += (q63_t) ((q31_t) (*px++) * (*pb++)); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - /* Apply shift for lower part of acc and upper part of acc */ - acc = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Converting the result to 1.15 format and saturate the output */ - acc = __SSAT(acc, 16); - - /* Store the result from accumulator into the destination buffer. */ - *pOut++ = (q15_t) acc; - - /* Compute and store error */ - e = *pRef++ - (q15_t) acc; - - *pErr++ = (q15_t) e; - - /* Compute alpha i.e. intermediate constant for taps update */ - alpha = (q15_t) (((q31_t) e * (mu)) >> 15); - - /* Initialize pState pointer */ - /* Advance state pointer by 1 for the next sample */ - px = pState++; - - /* Initialize pCoeffs pointer */ - pb = pCoeffs; - - /* Loop over numTaps number of values */ - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - *pb++ += (q15_t) (((q31_t) alpha * (*px++)) >> 15); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Decrement the loop counter */ - blkCnt--; - - } - - /* Processing is complete. Now copy the last numTaps - 1 samples to the - start of the state buffer. This prepares the state buffer for the - next function call. */ - - /* Points to the start of the pState buffer */ - pStateCurnt = S->pState; - - /* Copy (numTaps - 1u) samples */ - tapCnt = (numTaps - 1u); - - /* Copy the data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of LMS group - */
--- a/cmsis_dsp/FilteringFunctions/arm_lms_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,369 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_lms_q31.c -* -* Description: Processing function for the Q31 LMS filter. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" -/** - * @ingroup groupFilters - */ - -/** - * @addtogroup LMS - * @{ - */ - - /** - * @brief Processing function for Q31 LMS filter. - * @param[in] *S points to an instance of the Q15 LMS filter structure. - * @param[in] *pSrc points to the block of input data. - * @param[in] *pRef points to the block of reference data. - * @param[out] *pOut points to the block of output data. - * @param[out] *pErr points to the block of error data. - * @param[in] blockSize number of samples to process. - * @return none. - * - * \par Scaling and Overflow Behavior: - * The function is implemented using an internal 64-bit accumulator. - * The accumulator has a 2.62 format and maintains full precision of the intermediate - * multiplication results but provides only a single guard bit. - * Thus, if the accumulator result overflows it wraps around rather than clips. - * In order to avoid overflows completely the input signal must be scaled down by - * log2(numTaps) bits. - * The reference signal should not be scaled down. - * After all multiply-accumulates are performed, the 2.62 accumulator is shifted - * and saturated to 1.31 format to yield the final result. - * The output signal and error signal are in 1.31 format. - * - * \par - * In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted. - */ - -void arm_lms_q31( - const arm_lms_instance_q31 * S, - q31_t * pSrc, - q31_t * pRef, - q31_t * pOut, - q31_t * pErr, - uint32_t blockSize) -{ - q31_t *pState = S->pState; /* State pointer */ - uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ - q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ - q31_t *pStateCurnt; /* Points to the current sample of the state */ - q31_t mu = S->mu; /* Adaptive factor */ - q31_t *px; /* Temporary pointer for state */ - q31_t *pb; /* Temporary pointer for coefficient buffer */ - uint32_t tapCnt, blkCnt; /* Loop counters */ - q63_t acc; /* Accumulator */ - q31_t e = 0; /* error of data sample */ - q31_t alpha; /* Intermediate constant for taps update */ - q31_t coef; /* Temporary variable for coef */ - q31_t acc_l, acc_h; /* temporary input */ - uint32_t uShift = ((uint32_t) S->postShift + 1u); - uint32_t lShift = 32u - uShift; /* Shift to be applied to the output */ - - /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ - /* pStateCurnt points to the location where the new input data should be written */ - pStateCurnt = &(S->pState[(numTaps - 1u)]); - - /* Initializing blkCnt with blockSize */ - blkCnt = blockSize; - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - while(blkCnt > 0u) - { - /* Copy the new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Initialize state pointer */ - px = pState; - - /* Initialize coefficient pointer */ - pb = pCoeffs; - - /* Set the accumulator to zero */ - acc = 0; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - /* acc += b[N] * x[n-N] */ - acc += ((q63_t) (*px++)) * (*pb++); - - /* acc += b[N-1] * x[n-N-1] */ - acc += ((q63_t) (*px++)) * (*pb++); - - /* acc += b[N-2] * x[n-N-2] */ - acc += ((q63_t) (*px++)) * (*pb++); - - /* acc += b[N-3] * x[n-N-3] */ - acc += ((q63_t) (*px++)) * (*pb++); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - acc += ((q63_t) (*px++)) * (*pb++); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Converting the result to 1.31 format */ - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - acc = (uint32_t) acc_l >> lShift | acc_h << uShift; - - /* Store the result from accumulator into the destination buffer. */ - *pOut++ = (q31_t) acc; - - /* Compute and store error */ - e = *pRef++ - (q31_t) acc; - - *pErr++ = (q31_t) e; - - /* Compute alpha i.e. intermediate constant for taps update */ - alpha = (q31_t) (((q63_t) e * mu) >> 31); - - /* Initialize state pointer */ - /* Advance state pointer by 1 for the next sample */ - px = pState++; - - /* Initialize coefficient pointer */ - pb = pCoeffs; - - /* Loop unrolling. Process 4 taps at a time. */ - tapCnt = numTaps >> 2; - - /* Update filter coefficients */ - while(tapCnt > 0u) - { - /* coef is in 2.30 format */ - coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); - /* get coef in 1.31 format by left shifting */ - *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u)); - /* update coefficient buffer to next coefficient */ - pb++; - - coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); - *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u)); - pb++; - - coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); - *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u)); - pb++; - - coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); - *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u)); - pb++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* If the filter length is not a multiple of 4, compute the remaining filter taps */ - tapCnt = numTaps % 0x4u; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); - *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1u)); - pb++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. Now copy the last numTaps - 1 samples to the - satrt of the state buffer. This prepares the state buffer for the - next function call. */ - - /* Points to the start of the pState buffer */ - pStateCurnt = S->pState; - - /* Loop unrolling for (numTaps - 1u) samples copy */ - tapCnt = (numTaps - 1u) >> 2u; - - /* copy data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Calculate remaining number of copies */ - tapCnt = (numTaps - 1u) % 0x4u; - - /* Copy the remaining q31_t data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - while(blkCnt > 0u) - { - /* Copy the new input sample into the state buffer */ - *pStateCurnt++ = *pSrc++; - - /* Initialize pState pointer */ - px = pState; - - /* Initialize pCoeffs pointer */ - pb = pCoeffs; - - /* Set the accumulator to zero */ - acc = 0; - - /* Loop over numTaps number of values */ - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - acc += ((q63_t) (*px++)) * (*pb++); - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Converting the result to 1.31 format */ - /* Store the result from accumulator into the destination buffer. */ - /* Calc lower part of acc */ - acc_l = acc & 0xffffffff; - - /* Calc upper part of acc */ - acc_h = (acc >> 32) & 0xffffffff; - - acc = (uint32_t) acc_l >> lShift | acc_h << uShift; - - *pOut++ = (q31_t) acc; - - /* Compute and store error */ - e = *pRef++ - (q31_t) acc; - - *pErr++ = (q31_t) e; - - /* Weighting factor for the LMS version */ - alpha = (q31_t) (((q63_t) e * mu) >> 31); - - /* Initialize pState pointer */ - /* Advance state pointer by 1 for the next sample */ - px = pState++; - - /* Initialize pCoeffs pointer */ - pb = pCoeffs; - - /* Loop over numTaps number of values */ - tapCnt = numTaps; - - while(tapCnt > 0u) - { - /* Perform the multiply-accumulate */ - coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); - *pb += (coef << 1u); - pb++; - - /* Decrement the loop counter */ - tapCnt--; - } - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Processing is complete. Now copy the last numTaps - 1 samples to the - start of the state buffer. This prepares the state buffer for the - next function call. */ - - /* Points to the start of the pState buffer */ - pStateCurnt = S->pState; - - /* Copy (numTaps - 1u) samples */ - tapCnt = (numTaps - 1u); - - /* Copy the data */ - while(tapCnt > 0u) - { - *pStateCurnt++ = *pState++; - - /* Decrement the loop counter */ - tapCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of LMS group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_add_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,208 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_add_f32.c -* -* Description: Floating-point matrix addition -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @defgroup MatrixAdd Matrix Addition - * - * Adds two matrices. - * \image html MatrixAddition.gif "Addition of two 3 x 3 matrices" - * - * The functions check to make sure that - * <code>pSrcA</code>, <code>pSrcB</code>, and <code>pDst</code> have the same - * number of rows and columns. - */ - -/** - * @addtogroup MatrixAdd - * @{ - */ - - -/** - * @brief Floating-point matrix addition. - * @param[in] *pSrcA points to the first input matrix structure - * @param[in] *pSrcB points to the second input matrix structure - * @param[out] *pDst points to output matrix structure - * @return The function returns either - * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - */ - -arm_status arm_mat_add_f32( - const arm_matrix_instance_f32 * pSrcA, - const arm_matrix_instance_f32 * pSrcB, - arm_matrix_instance_f32 * pDst) -{ - float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ - float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ - float32_t *pOut = pDst->pData; /* output data matrix pointer */ - -#ifndef ARM_MATH_CM0_FAMILY - - float32_t inA1, inA2, inB1, inB2, out1, out2; /* temporary variables */ - -#endif // #ifndef ARM_MATH_CM0_FAMILY - - uint32_t numSamples; /* total number of elements in the matrix */ - uint32_t blkCnt; /* loop counters */ - arm_status status; /* status of matrix addition */ - -#ifdef ARM_MATH_MATRIX_CHECK - /* Check for matrix mismatch condition */ - if((pSrcA->numRows != pSrcB->numRows) || - (pSrcA->numCols != pSrcB->numCols) || - (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif - { - - /* Total number of samples in the input matrix */ - numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Loop unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) + B(m,n) */ - /* Add and then store the results in the destination buffer. */ - /* Read values from source A */ - inA1 = pIn1[0]; - - /* Read values from source B */ - inB1 = pIn2[0]; - - /* Read values from source A */ - inA2 = pIn1[1]; - - /* out = sourceA + sourceB */ - out1 = inA1 + inB1; - - /* Read values from source B */ - inB2 = pIn2[1]; - - /* Read values from source A */ - inA1 = pIn1[2]; - - /* out = sourceA + sourceB */ - out2 = inA2 + inB2; - - /* Read values from source B */ - inB1 = pIn2[2]; - - /* Store result in destination */ - pOut[0] = out1; - pOut[1] = out2; - - /* Read values from source A */ - inA2 = pIn1[3]; - - /* Read values from source B */ - inB2 = pIn2[3]; - - /* out = sourceA + sourceB */ - out1 = inA1 + inB1; - - /* out = sourceA + sourceB */ - out2 = inA2 + inB2; - - /* Store result in destination */ - pOut[2] = out1; - - /* Store result in destination */ - pOut[3] = out2; - - - /* update pointers to process next sampels */ - pIn1 += 4u; - pIn2 += 4u; - pOut += 4u; - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = numSamples; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) + B(m,n) */ - /* Add and then store the results in the destination buffer. */ - *pOut++ = (*pIn1++) + (*pIn2++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixAdd group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_add_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,163 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_add_q15.c -* -* Description: Q15 matrix addition -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixAdd - * @{ - */ - -/** - * @brief Q15 matrix addition. - * @param[in] *pSrcA points to the first input matrix structure - * @param[in] *pSrcB points to the second input matrix structure - * @param[out] *pDst points to output matrix structure - * @return The function returns either - * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -arm_status arm_mat_add_q15( - const arm_matrix_instance_q15 * pSrcA, - const arm_matrix_instance_q15 * pSrcB, - arm_matrix_instance_q15 * pDst) -{ - q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */ - q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */ - q15_t *pOut = pDst->pData; /* output data matrix pointer */ - uint16_t numSamples; /* total number of elements in the matrix */ - uint32_t blkCnt; /* loop counters */ - arm_status status; /* status of matrix addition */ - -#ifdef ARM_MATH_MATRIX_CHECK - - - /* Check for matrix mismatch condition */ - if((pSrcA->numRows != pSrcB->numRows) || - (pSrcA->numCols != pSrcB->numCols) || - (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* Total number of samples in the input matrix */ - numSamples = (uint16_t) (pSrcA->numRows * pSrcA->numCols); - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Loop unrolling */ - blkCnt = (uint32_t) numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) + B(m,n) */ - /* Add, Saturate and then store the results in the destination buffer. */ - *__SIMD32(pOut)++ = __QADD16(*__SIMD32(pInA)++, *__SIMD32(pInB)++); - *__SIMD32(pOut)++ = __QADD16(*__SIMD32(pInA)++, *__SIMD32(pInB)++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = (uint32_t) numSamples % 0x4u; - - /* q15 pointers of input and output are initialized */ - - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) + B(m,n) */ - /* Add, Saturate and then store the results in the destination buffer. */ - *pOut++ = (q15_t) __QADD16(*pInA++, *pInB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = (uint32_t) numSamples; - - - /* q15 pointers of input and output are initialized */ - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) + B(m,n) */ - /* Add, Saturate and then store the results in the destination buffer. */ - *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ + *pInB++), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixAdd group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_add_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,207 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_add_q31.c -* -* Description: Q31 matrix addition -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixAdd - * @{ - */ - -/** - * @brief Q31 matrix addition. - * @param[in] *pSrcA points to the first input matrix structure - * @param[in] *pSrcB points to the second input matrix structure - * @param[out] *pDst points to output matrix structure - * @return The function returns either - * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. - */ - -arm_status arm_mat_add_q31( - const arm_matrix_instance_q31 * pSrcA, - const arm_matrix_instance_q31 * pSrcB, - arm_matrix_instance_q31 * pDst) -{ - q31_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ - q31_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ - q31_t *pOut = pDst->pData; /* output data matrix pointer */ - q31_t inA1, inB1; /* temporary variables */ - -#ifndef ARM_MATH_CM0_FAMILY - - q31_t inA2, inB2; /* temporary variables */ - q31_t out1, out2; /* temporary variables */ - -#endif // #ifndef ARM_MATH_CM0_FAMILY - - uint32_t numSamples; /* total number of elements in the matrix */ - uint32_t blkCnt; /* loop counters */ - arm_status status; /* status of matrix addition */ - -#ifdef ARM_MATH_MATRIX_CHECK - /* Check for matrix mismatch condition */ - if((pSrcA->numRows != pSrcB->numRows) || - (pSrcA->numCols != pSrcB->numCols) || - (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif - { - /* Total number of samples in the input matrix */ - numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Loop Unrolling */ - blkCnt = numSamples >> 2u; - - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) + B(m,n) */ - /* Add, saturate and then store the results in the destination buffer. */ - /* Read values from source A */ - inA1 = pIn1[0]; - - /* Read values from source B */ - inB1 = pIn2[0]; - - /* Read values from source A */ - inA2 = pIn1[1]; - - /* Add and saturate */ - out1 = __QADD(inA1, inB1); - - /* Read values from source B */ - inB2 = pIn2[1]; - - /* Read values from source A */ - inA1 = pIn1[2]; - - /* Add and saturate */ - out2 = __QADD(inA2, inB2); - - /* Read values from source B */ - inB1 = pIn2[2]; - - /* Store result in destination */ - pOut[0] = out1; - pOut[1] = out2; - - /* Read values from source A */ - inA2 = pIn1[3]; - - /* Read values from source B */ - inB2 = pIn2[3]; - - /* Add and saturate */ - out1 = __QADD(inA1, inB1); - out2 = __QADD(inA2, inB2); - - /* Store result in destination */ - pOut[2] = out1; - pOut[3] = out2; - - /* update pointers to process next sampels */ - pIn1 += 4u; - pIn2 += 4u; - pOut += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = numSamples; - - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) + B(m,n) */ - /* Add, saturate and then store the results in the destination buffer. */ - inA1 = *pIn1++; - inB1 = *pIn2++; - - inA1 = __QADD(inA1, inB1); - - /* Decrement the loop counter */ - blkCnt--; - - *pOut++ = inA1; - - } - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixAdd group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,88 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_init_f32.c -* -* Description: Floating-point matrix initialization. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @defgroup MatrixInit Matrix Initialization - * - * Initializes the underlying matrix data structure. - * The functions set the <code>numRows</code>, - * <code>numCols</code>, and <code>pData</code> fields - * of the matrix data structure. - */ - -/** - * @addtogroup MatrixInit - * @{ - */ - -/** - * @brief Floating-point matrix initialization. - * @param[in,out] *S points to an instance of the floating-point matrix structure. - * @param[in] nRows number of rows in the matrix. - * @param[in] nColumns number of columns in the matrix. - * @param[in] *pData points to the matrix data array. - * @return none - */ - -void arm_mat_init_f32( - arm_matrix_instance_f32 * S, - uint16_t nRows, - uint16_t nColumns, - float32_t * pData) -{ - /* Assign Number of Rows */ - S->numRows = nRows; - - /* Assign Number of Columns */ - S->numCols = nColumns; - - /* Assign Data pointer */ - S->pData = pData; -} - -/** - * @} end of MatrixInit group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,80 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_init_q15.c -* -* Description: Q15 matrix initialization. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------------- */ - - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixInit - * @{ - */ - - /** - * @brief Q15 matrix initialization. - * @param[in,out] *S points to an instance of the floating-point matrix structure. - * @param[in] nRows number of rows in the matrix. - * @param[in] nColumns number of columns in the matrix. - * @param[in] *pData points to the matrix data array. - * @return none - */ - -void arm_mat_init_q15( - arm_matrix_instance_q15 * S, - uint16_t nRows, - uint16_t nColumns, - q15_t * pData) -{ - /* Assign Number of Rows */ - S->numRows = nRows; - - /* Assign Number of Columns */ - S->numCols = nColumns; - - /* Assign Data pointer */ - S->pData = pData; -} - -/** - * @} end of MatrixInit group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,84 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_init_q31.c -* -* Description: Q31 matrix initialization. -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------------- */ - - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @defgroup MatrixInit Matrix Initialization - * - */ - -/** - * @addtogroup MatrixInit - * @{ - */ - - /** - * @brief Q31 matrix initialization. - * @param[in,out] *S points to an instance of the floating-point matrix structure. - * @param[in] nRows number of rows in the matrix. - * @param[in] nColumns number of columns in the matrix. - * @param[in] *pData points to the matrix data array. - * @return none - */ - -void arm_mat_init_q31( - arm_matrix_instance_q31 * S, - uint16_t nRows, - uint16_t nColumns, - q31_t * pData) -{ - /* Assign Number of Rows */ - S->numRows = nRows; - - /* Assign Number of Columns */ - S->numCols = nColumns; - - /* Assign Data pointer */ - S->pData = pData; -} - -/** - * @} end of MatrixInit group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_inverse_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,700 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 1. March 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_inverse_f32.c -* -* Description: Floating-point matrix inverse. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @defgroup MatrixInv Matrix Inverse - * - * Computes the inverse of a matrix. - * - * The inverse is defined only if the input matrix is square and non-singular (the determinant - * is non-zero). The function checks that the input and output matrices are square and of the - * same size. - * - * Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix - * inversion of floating-point matrices. - * - * \par Algorithm - * The Gauss-Jordan method is used to find the inverse. - * The algorithm performs a sequence of elementary row-operations till it - * reduces the input matrix to an identity matrix. Applying the same sequence - * of elementary row-operations to an identity matrix yields the inverse matrix. - * If the input matrix is singular, then the algorithm terminates and returns error status - * <code>ARM_MATH_SINGULAR</code>. - * \image html MatrixInverse.gif "Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method" - */ - -/** - * @addtogroup MatrixInv - * @{ - */ - -/** - * @brief Floating-point matrix inverse. - * @param[in] *pSrc points to input matrix structure - * @param[out] *pDst points to output matrix structure - * @return The function returns - * <code>ARM_MATH_SIZE_MISMATCH</code> if the input matrix is not square or if the size - * of the output matrix does not match the size of the input matrix. - * If the input matrix is found to be singular (non-invertible), then the function returns - * <code>ARM_MATH_SINGULAR</code>. Otherwise, the function returns <code>ARM_MATH_SUCCESS</code>. - */ - -arm_status arm_mat_inverse_f32( - const arm_matrix_instance_f32 * pSrc, - arm_matrix_instance_f32 * pDst) -{ - float32_t *pIn = pSrc->pData; /* input data matrix pointer */ - float32_t *pOut = pDst->pData; /* output data matrix pointer */ - float32_t *pInT1, *pInT2; /* Temporary input data matrix pointer */ - float32_t *pInT3, *pInT4; /* Temporary output data matrix pointer */ - float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */ - uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */ - uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */ - -#ifndef ARM_MATH_CM0_FAMILY - float32_t maxC; /* maximum value in the column */ - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - float32_t Xchg, in = 0.0f, in1; /* Temporary input values */ - uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l; /* loop counters */ - arm_status status; /* status of matrix inverse */ - -#ifdef ARM_MATH_MATRIX_CHECK - - - /* Check for matrix mismatch condition */ - if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols) - || (pSrc->numRows != pDst->numRows)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - - /*-------------------------------------------------------------------------------------------------------------- - * Matrix Inverse can be solved using elementary row operations. - * - * Gauss-Jordan Method: - * - * 1. First combine the identity matrix and the input matrix separated by a bar to form an - * augmented matrix as follows: - * _ _ _ _ - * | a11 a12 | 1 0 | | X11 X12 | - * | | | = | | - * |_ a21 a22 | 0 1 _| |_ X21 X21 _| - * - * 2. In our implementation, pDst Matrix is used as identity matrix. - * - * 3. Begin with the first row. Let i = 1. - * - * 4. Check to see if the pivot for column i is the greatest of the column. - * The pivot is the element of the main diagonal that is on the current row. - * For instance, if working with row i, then the pivot element is aii. - * If the pivot is not the most significant of the coluimns, exchange that row with a row - * below it that does contain the most significant value in column i. If the most - * significant value of the column is zero, then an inverse to that matrix does not exist. - * The most significant value of the column is the absolut maximum. - * - * 5. Divide every element of row i by the pivot. - * - * 6. For every row below and row i, replace that row with the sum of that row and - * a multiple of row i so that each new element in column i below row i is zero. - * - * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros - * for every element below and above the main diagonal. - * - * 8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc). - * Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst). - *----------------------------------------------------------------------------------------------------------------*/ - - /* Working pointer for destination matrix */ - pInT2 = pOut; - - /* Loop over the number of rows */ - rowCnt = numRows; - - /* Making the destination matrix as identity matrix */ - while(rowCnt > 0u) - { - /* Writing all zeroes in lower triangle of the destination matrix */ - j = numRows - rowCnt; - while(j > 0u) - { - *pInT2++ = 0.0f; - j--; - } - - /* Writing all ones in the diagonal of the destination matrix */ - *pInT2++ = 1.0f; - - /* Writing all zeroes in upper triangle of the destination matrix */ - j = rowCnt - 1u; - while(j > 0u) - { - *pInT2++ = 0.0f; - j--; - } - - /* Decrement the loop counter */ - rowCnt--; - } - - /* Loop over the number of columns of the input matrix. - All the elements in each column are processed by the row operations */ - loopCnt = numCols; - - /* Index modifier to navigate through the columns */ - l = 0u; - - while(loopCnt > 0u) - { - /* Check if the pivot element is zero.. - * If it is zero then interchange the row with non zero row below. - * If there is no non zero element to replace in the rows below, - * then the matrix is Singular. */ - - /* Working pointer for the input matrix that points - * to the pivot element of the particular row */ - pInT1 = pIn + (l * numCols); - - /* Working pointer for the destination matrix that points - * to the pivot element of the particular row */ - pInT3 = pOut + (l * numCols); - - /* Temporary variable to hold the pivot value */ - in = *pInT1; - - /* Destination pointer modifier */ - k = 1u; - - /* Grab the most significant value from column l */ - maxC = 0; - for (i = 0; i < numRows; i++) - { - maxC = *pInT1 > 0 ? (*pInT1 > maxC ? *pInT1 : maxC) : (-*pInT1 > maxC ? -*pInT1 : maxC); - pInT1 += numCols; - } - - /* Update the status if the matrix is singular */ - if(maxC == 0.0f) - { - status = ARM_MATH_SINGULAR; - break; - } - - /* Restore pInT1 */ - pInT1 -= numRows * numCols; - - /* Check if the pivot element is the most significant of the column */ - if( (in > 0.0f ? in : -in) != maxC) - { - /* Loop over the number rows present below */ - i = numRows - (l + 1u); - - while(i > 0u) - { - /* Update the input and destination pointers */ - pInT2 = pInT1 + (numCols * l); - pInT4 = pInT3 + (numCols * k); - - /* Look for the most significant element to - * replace in the rows below */ - if((*pInT2 > 0.0f ? *pInT2: -*pInT2) == maxC) - { - /* Loop over number of columns - * to the right of the pilot element */ - j = numCols - l; - - while(j > 0u) - { - /* Exchange the row elements of the input matrix */ - Xchg = *pInT2; - *pInT2++ = *pInT1; - *pInT1++ = Xchg; - - /* Decrement the loop counter */ - j--; - } - - /* Loop over number of columns of the destination matrix */ - j = numCols; - - while(j > 0u) - { - /* Exchange the row elements of the destination matrix */ - Xchg = *pInT4; - *pInT4++ = *pInT3; - *pInT3++ = Xchg; - - /* Decrement the loop counter */ - j--; - } - - /* Flag to indicate whether exchange is done or not */ - flag = 1u; - - /* Break after exchange is done */ - break; - } - - /* Update the destination pointer modifier */ - k++; - - /* Decrement the loop counter */ - i--; - } - } - - /* Update the status if the matrix is singular */ - if((flag != 1u) && (in == 0.0f)) - { - status = ARM_MATH_SINGULAR; - - break; - } - - /* Points to the pivot row of input and destination matrices */ - pPivotRowIn = pIn + (l * numCols); - pPivotRowDst = pOut + (l * numCols); - - /* Temporary pointers to the pivot row pointers */ - pInT1 = pPivotRowIn; - pInT2 = pPivotRowDst; - - /* Pivot element of the row */ - in = *pPivotRowIn; - - /* Loop over number of columns - * to the right of the pilot element */ - j = (numCols - l); - - while(j > 0u) - { - /* Divide each element of the row of the input matrix - * by the pivot element */ - in1 = *pInT1; - *pInT1++ = in1 / in; - - /* Decrement the loop counter */ - j--; - } - - /* Loop over number of columns of the destination matrix */ - j = numCols; - - while(j > 0u) - { - /* Divide each element of the row of the destination matrix - * by the pivot element */ - in1 = *pInT2; - *pInT2++ = in1 / in; - - /* Decrement the loop counter */ - j--; - } - - /* Replace the rows with the sum of that row and a multiple of row i - * so that each new element in column i above row i is zero.*/ - - /* Temporary pointers for input and destination matrices */ - pInT1 = pIn; - pInT2 = pOut; - - /* index used to check for pivot element */ - i = 0u; - - /* Loop over number of rows */ - /* to be replaced by the sum of that row and a multiple of row i */ - k = numRows; - - while(k > 0u) - { - /* Check for the pivot element */ - if(i == l) - { - /* If the processing element is the pivot element, - only the columns to the right are to be processed */ - pInT1 += numCols - l; - - pInT2 += numCols; - } - else - { - /* Element of the reference row */ - in = *pInT1; - - /* Working pointers for input and destination pivot rows */ - pPRT_in = pPivotRowIn; - pPRT_pDst = pPivotRowDst; - - /* Loop over the number of columns to the right of the pivot element, - to replace the elements in the input matrix */ - j = (numCols - l); - - while(j > 0u) - { - /* Replace the element by the sum of that row - and a multiple of the reference row */ - in1 = *pInT1; - *pInT1++ = in1 - (in * *pPRT_in++); - - /* Decrement the loop counter */ - j--; - } - - /* Loop over the number of columns to - replace the elements in the destination matrix */ - j = numCols; - - while(j > 0u) - { - /* Replace the element by the sum of that row - and a multiple of the reference row */ - in1 = *pInT2; - *pInT2++ = in1 - (in * *pPRT_pDst++); - - /* Decrement the loop counter */ - j--; - } - - } - - /* Increment the temporary input pointer */ - pInT1 = pInT1 + l; - - /* Decrement the loop counter */ - k--; - - /* Increment the pivot index */ - i++; - } - - /* Increment the input pointer */ - pIn++; - - /* Decrement the loop counter */ - loopCnt--; - - /* Increment the index modifier */ - l++; - } - - -#else - - /* Run the below code for Cortex-M0 */ - - float32_t Xchg, in = 0.0f; /* Temporary input values */ - uint32_t i, rowCnt, flag = 0u, j, loopCnt, k, l; /* loop counters */ - arm_status status; /* status of matrix inverse */ - -#ifdef ARM_MATH_MATRIX_CHECK - - /* Check for matrix mismatch condition */ - if((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols) - || (pSrc->numRows != pDst->numRows)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - { - - /*-------------------------------------------------------------------------------------------------------------- - * Matrix Inverse can be solved using elementary row operations. - * - * Gauss-Jordan Method: - * - * 1. First combine the identity matrix and the input matrix separated by a bar to form an - * augmented matrix as follows: - * _ _ _ _ _ _ _ _ - * | | a11 a12 | | | 1 0 | | | X11 X12 | - * | | | | | | | = | | - * |_ |_ a21 a22 _| | |_0 1 _| _| |_ X21 X21 _| - * - * 2. In our implementation, pDst Matrix is used as identity matrix. - * - * 3. Begin with the first row. Let i = 1. - * - * 4. Check to see if the pivot for row i is zero. - * The pivot is the element of the main diagonal that is on the current row. - * For instance, if working with row i, then the pivot element is aii. - * If the pivot is zero, exchange that row with a row below it that does not - * contain a zero in column i. If this is not possible, then an inverse - * to that matrix does not exist. - * - * 5. Divide every element of row i by the pivot. - * - * 6. For every row below and row i, replace that row with the sum of that row and - * a multiple of row i so that each new element in column i below row i is zero. - * - * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros - * for every element below and above the main diagonal. - * - * 8. Now an identical matrix is formed to the left of the bar(input matrix, src). - * Therefore, the matrix to the right of the bar is our solution(dst matrix, dst). - *----------------------------------------------------------------------------------------------------------------*/ - - /* Working pointer for destination matrix */ - pInT2 = pOut; - - /* Loop over the number of rows */ - rowCnt = numRows; - - /* Making the destination matrix as identity matrix */ - while(rowCnt > 0u) - { - /* Writing all zeroes in lower triangle of the destination matrix */ - j = numRows - rowCnt; - while(j > 0u) - { - *pInT2++ = 0.0f; - j--; - } - - /* Writing all ones in the diagonal of the destination matrix */ - *pInT2++ = 1.0f; - - /* Writing all zeroes in upper triangle of the destination matrix */ - j = rowCnt - 1u; - while(j > 0u) - { - *pInT2++ = 0.0f; - j--; - } - - /* Decrement the loop counter */ - rowCnt--; - } - - /* Loop over the number of columns of the input matrix. - All the elements in each column are processed by the row operations */ - loopCnt = numCols; - - /* Index modifier to navigate through the columns */ - l = 0u; - //for(loopCnt = 0u; loopCnt < numCols; loopCnt++) - while(loopCnt > 0u) - { - /* Check if the pivot element is zero.. - * If it is zero then interchange the row with non zero row below. - * If there is no non zero element to replace in the rows below, - * then the matrix is Singular. */ - - /* Working pointer for the input matrix that points - * to the pivot element of the particular row */ - pInT1 = pIn + (l * numCols); - - /* Working pointer for the destination matrix that points - * to the pivot element of the particular row */ - pInT3 = pOut + (l * numCols); - - /* Temporary variable to hold the pivot value */ - in = *pInT1; - - /* Destination pointer modifier */ - k = 1u; - - /* Check if the pivot element is zero */ - if(*pInT1 == 0.0f) - { - /* Loop over the number rows present below */ - for (i = (l + 1u); i < numRows; i++) - { - /* Update the input and destination pointers */ - pInT2 = pInT1 + (numCols * l); - pInT4 = pInT3 + (numCols * k); - - /* Check if there is a non zero pivot element to - * replace in the rows below */ - if(*pInT2 != 0.0f) - { - /* Loop over number of columns - * to the right of the pilot element */ - for (j = 0u; j < (numCols - l); j++) - { - /* Exchange the row elements of the input matrix */ - Xchg = *pInT2; - *pInT2++ = *pInT1; - *pInT1++ = Xchg; - } - - for (j = 0u; j < numCols; j++) - { - Xchg = *pInT4; - *pInT4++ = *pInT3; - *pInT3++ = Xchg; - } - - /* Flag to indicate whether exchange is done or not */ - flag = 1u; - - /* Break after exchange is done */ - break; - } - - /* Update the destination pointer modifier */ - k++; - } - } - - /* Update the status if the matrix is singular */ - if((flag != 1u) && (in == 0.0f)) - { - status = ARM_MATH_SINGULAR; - - break; - } - - /* Points to the pivot row of input and destination matrices */ - pPivotRowIn = pIn + (l * numCols); - pPivotRowDst = pOut + (l * numCols); - - /* Temporary pointers to the pivot row pointers */ - pInT1 = pPivotRowIn; - pInT2 = pPivotRowDst; - - /* Pivot element of the row */ - in = *(pIn + (l * numCols)); - - /* Loop over number of columns - * to the right of the pilot element */ - for (j = 0u; j < (numCols - l); j++) - { - /* Divide each element of the row of the input matrix - * by the pivot element */ - *pInT1 = *pInT1 / in; - pInT1++; - } - for (j = 0u; j < numCols; j++) - { - /* Divide each element of the row of the destination matrix - * by the pivot element */ - *pInT2 = *pInT2 / in; - pInT2++; - } - - /* Replace the rows with the sum of that row and a multiple of row i - * so that each new element in column i above row i is zero.*/ - - /* Temporary pointers for input and destination matrices */ - pInT1 = pIn; - pInT2 = pOut; - - for (i = 0u; i < numRows; i++) - { - /* Check for the pivot element */ - if(i == l) - { - /* If the processing element is the pivot element, - only the columns to the right are to be processed */ - pInT1 += numCols - l; - pInT2 += numCols; - } - else - { - /* Element of the reference row */ - in = *pInT1; - - /* Working pointers for input and destination pivot rows */ - pPRT_in = pPivotRowIn; - pPRT_pDst = pPivotRowDst; - - /* Loop over the number of columns to the right of the pivot element, - to replace the elements in the input matrix */ - for (j = 0u; j < (numCols - l); j++) - { - /* Replace the element by the sum of that row - and a multiple of the reference row */ - *pInT1 = *pInT1 - (in * *pPRT_in++); - pInT1++; - } - /* Loop over the number of columns to - replace the elements in the destination matrix */ - for (j = 0u; j < numCols; j++) - { - /* Replace the element by the sum of that row - and a multiple of the reference row */ - *pInT2 = *pInT2 - (in * *pPRT_pDst++); - pInT2++; - } - - } - /* Increment the temporary input pointer */ - pInT1 = pInT1 + l; - } - /* Increment the input pointer */ - pIn++; - - /* Decrement the loop counter */ - loopCnt--; - /* Increment the index modifier */ - l++; - } - - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /* Set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - - if((flag != 1u) && (in == 0.0f)) - { - status = ARM_MATH_SINGULAR; - } - } - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixInv group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_mult_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,286 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_mult_f32.c -* -* Description: Floating-point matrix multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @defgroup MatrixMult Matrix Multiplication - * - * Multiplies two matrices. - * - * \image html MatrixMultiplication.gif "Multiplication of two 3 x 3 matrices" - - * Matrix multiplication is only defined if the number of columns of the - * first matrix equals the number of rows of the second matrix. - * Multiplying an <code>M x N</code> matrix with an <code>N x P</code> matrix results - * in an <code>M x P</code> matrix. - * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of - * <code>pSrcA</code> and <code>pSrcB</code> are equal; and (2) that the size of the output - * matrix equals the outer dimensions of <code>pSrcA</code> and <code>pSrcB</code>. - */ - - -/** - * @addtogroup MatrixMult - * @{ - */ - -/** - * @brief Floating-point matrix multiplication. - * @param[in] *pSrcA points to the first input matrix structure - * @param[in] *pSrcB points to the second input matrix structure - * @param[out] *pDst points to output matrix structure - * @return The function returns either - * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - */ - -arm_status arm_mat_mult_f32( - const arm_matrix_instance_f32 * pSrcA, - const arm_matrix_instance_f32 * pSrcB, - arm_matrix_instance_f32 * pDst) -{ - float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ - float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ - float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ - float32_t *pOut = pDst->pData; /* output data matrix pointer */ - float32_t *px; /* Temporary output data matrix pointer */ - float32_t sum; /* Accumulator */ - uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ - uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ - uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - float32_t in1, in2, in3, in4; - uint16_t col, i = 0u, j, row = numRowsA, colCnt; /* loop counters */ - arm_status status; /* status of matrix multiplication */ - -#ifdef ARM_MATH_MATRIX_CHECK - - - /* Check for matrix mismatch condition */ - if((pSrcA->numCols != pSrcB->numRows) || - (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) - { - - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ - /* row loop */ - do - { - /* Output pointer is set to starting address of the row being processed */ - px = pOut + i; - - /* For every row wise process, the column loop counter is to be initiated */ - col = numColsB; - - /* For every row wise process, the pIn2 pointer is set - ** to the starting address of the pSrcB data */ - pIn2 = pSrcB->pData; - - j = 0u; - - /* column loop */ - do - { - /* Set the variable sum, that acts as accumulator, to zero */ - sum = 0.0f; - - /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ - pIn1 = pInA; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - colCnt = numColsA >> 2u; - - /* matrix multiplication */ - while(colCnt > 0u) - { - /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ - in3 = *pIn2; - pIn2 += numColsB; - in1 = pIn1[0]; - in2 = pIn1[1]; - sum += in1 * in3; - in4 = *pIn2; - pIn2 += numColsB; - sum += in2 * in4; - - in3 = *pIn2; - pIn2 += numColsB; - in1 = pIn1[2]; - in2 = pIn1[3]; - sum += in1 * in3; - in4 = *pIn2; - pIn2 += numColsB; - sum += in2 * in4; - pIn1 += 4u; - - /* Decrement the loop count */ - colCnt--; - } - - /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here. - ** No loop unrolling is used. */ - colCnt = numColsA % 0x4u; - - while(colCnt > 0u) - { - /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ - sum += *pIn1++ * (*pIn2); - pIn2 += numColsB; - - /* Decrement the loop counter */ - colCnt--; - } - - /* Store the result in the destination buffer */ - *px++ = sum; - - /* Update the pointer pIn2 to point to the starting address of the next column */ - j++; - pIn2 = pSrcB->pData + j; - - /* Decrement the column loop counter */ - col--; - - } while(col > 0u); - -#else - - /* Run the below code for Cortex-M0 */ - - float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */ - uint16_t col, i = 0u, row = numRowsA, colCnt; /* loop counters */ - arm_status status; /* status of matrix multiplication */ - -#ifdef ARM_MATH_MATRIX_CHECK - - /* Check for matrix mismatch condition */ - if((pSrcA->numCols != pSrcB->numRows) || - (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) - { - - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* The following loop performs the dot-product of each row in pInA with each column in pInB */ - /* row loop */ - do - { - /* Output pointer is set to starting address of the row being processed */ - px = pOut + i; - - /* For every row wise process, the column loop counter is to be initiated */ - col = numColsB; - - /* For every row wise process, the pIn2 pointer is set - ** to the starting address of the pSrcB data */ - pIn2 = pSrcB->pData; - - /* column loop */ - do - { - /* Set the variable sum, that acts as accumulator, to zero */ - sum = 0.0f; - - /* Initialize the pointer pIn1 to point to the starting address of the row being processed */ - pIn1 = pInA; - - /* Matrix A columns number of MAC operations are to be performed */ - colCnt = numColsA; - - while(colCnt > 0u) - { - /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ - sum += *pIn1++ * (*pIn2); - pIn2 += numColsB; - - /* Decrement the loop counter */ - colCnt--; - } - - /* Store the result in the destination buffer */ - *px++ = sum; - - /* Decrement the column loop counter */ - col--; - - /* Update the pointer pIn2 to point to the starting address of the next column */ - pIn2 = pInB + (numColsB - col); - - } while(col > 0u); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /* Update the pointer pInA to point to the starting address of the next row */ - i = i + numColsB; - pInA = pInA + numColsA; - - /* Decrement the row loop counter */ - row--; - - } while(row > 0u); - /* Set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixMult group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_mult_fast_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,369 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_mult_fast_q15.c -* -* Description: Q15 matrix multiplication (fast variant) -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixMult - * @{ - */ - - -/** - * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 - * @param[in] *pSrcA points to the first input matrix structure - * @param[in] *pSrcB points to the second input matrix structure - * @param[out] *pDst points to output matrix structure - * @param[in] *pState points to the array for storing intermediate results - * @return The function returns either - * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The difference between the function arm_mat_mult_q15() and this fast variant is that - * the fast variant use a 32-bit rather than a 64-bit accumulator. - * The result of each 1.15 x 1.15 multiplication is truncated to - * 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30 - * format. Finally, the accumulator is saturated and converted to a 1.15 result. - * - * \par - * The fast version has the same overflow behavior as the standard version but provides - * less precision since it discards the low 16 bits of each multiplication result. - * In order to avoid overflows completely the input signals must be scaled down. - * Scale down one of the input matrices by log2(numColsA) bits to - * avoid overflows, as a total of numColsA additions are computed internally for each - * output element. - * - * \par - * See <code>arm_mat_mult_q15()</code> for a slower implementation of this function - * which uses 64-bit accumulation to provide higher precision. - */ - -arm_status arm_mat_mult_fast_q15( - const arm_matrix_instance_q15 * pSrcA, - const arm_matrix_instance_q15 * pSrcB, - arm_matrix_instance_q15 * pDst, - q15_t * pState) -{ - q31_t sum; /* accumulator */ - q15_t *pSrcBT = pState; /* input data matrix pointer for transpose */ - q15_t *pInA = pSrcA->pData; /* input data matrix pointer A of Q15 type */ - q15_t *pInB = pSrcB->pData; /* input data matrix pointer B of Q15 type */ - q15_t *px; /* Temporary output data matrix pointer */ - uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ - uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ - uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ - uint16_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */ - uint16_t col, i = 0u, row = numRowsB, colCnt; /* loop counters */ - arm_status status; /* status of matrix multiplication */ - -#ifndef UNALIGNED_SUPPORT_DISABLE - - q31_t in; /* Temporary variable to hold the input value */ - q31_t inA1, inA2, inB1, inB2; - -#else - - q15_t in; /* Temporary variable to hold the input value */ - q15_t inA1, inA2, inB1, inB2; - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - -#ifdef ARM_MATH_MATRIX_CHECK - /* Check for matrix mismatch condition */ - if((pSrcA->numCols != pSrcB->numRows) || - (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif - { - /* Matrix transpose */ - do - { - /* Apply loop unrolling and exchange the columns with row elements */ - col = numColsB >> 2; - - /* The pointer px is set to starting address of the column being processed */ - px = pSrcBT + i; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(col > 0u) - { -#ifndef UNALIGNED_SUPPORT_DISABLE - /* Read two elements from the row */ - in = *__SIMD32(pInB)++; - - /* Unpack and store one element in the destination */ -#ifndef ARM_MATH_BIG_ENDIAN - - *px = (q15_t) in; - -#else - - *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Unpack and store the second element in the destination */ -#ifndef ARM_MATH_BIG_ENDIAN - - *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); - -#else - - *px = (q15_t) in; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Read two elements from the row */ - in = *__SIMD32(pInB)++; - - /* Unpack and store one element in the destination */ -#ifndef ARM_MATH_BIG_ENDIAN - - *px = (q15_t) in; - -#else - - *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Unpack and store the second element in the destination */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); - -#else - - *px = (q15_t) in; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - -#else - - /* Read one element from the row */ - in = *pInB++; - - /* Store one element in the destination */ - *px = in; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Read one element from the row */ - in = *pInB++; - - /* Store one element in the destination */ - *px = in; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Read one element from the row */ - in = *pInB++; - - /* Store one element in the destination */ - *px = in; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Read one element from the row */ - in = *pInB++; - - /* Store one element in the destination */ - *px = in; - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Decrement the column loop counter */ - col--; - } - - /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - col = numColsB % 0x4u; - - while(col > 0u) - { - /* Read and store the input element in the destination */ - *px = *pInB++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Decrement the column loop counter */ - col--; - } - - i++; - - /* Decrement the row loop counter */ - row--; - - } while(row > 0u); - - /* Reset the variables for the usage in the following multiplication process */ - row = numRowsA; - i = 0u; - px = pDst->pData; - - /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ - /* row loop */ - do - { - /* For every row wise process, the column loop counter is to be initiated */ - col = numColsB; - - /* For every row wise process, the pIn2 pointer is set - ** to the starting address of the transposed pSrcB data */ - pInB = pSrcBT; - - /* column loop */ - do - { - /* Set the variable sum, that acts as accumulator, to zero */ - sum = 0; - - /* Apply loop unrolling and compute 2 MACs simultaneously. */ - colCnt = numColsA >> 2; - - /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ - pInA = pSrcA->pData + i; - - /* matrix multiplication */ - while(colCnt > 0u) - { - /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ -#ifndef UNALIGNED_SUPPORT_DISABLE - - inA1 = *__SIMD32(pInA)++; - inB1 = *__SIMD32(pInB)++; - inA2 = *__SIMD32(pInA)++; - inB2 = *__SIMD32(pInB)++; - - sum = __SMLAD(inA1, inB1, sum); - sum = __SMLAD(inA2, inB2, sum); - -#else - - inA1 = *pInA++; - inB1 = *pInB++; - inA2 = *pInA++; - sum += inA1 * inB1; - inB2 = *pInB++; - - inA1 = *pInA++; - inB1 = *pInB++; - sum += inA2 * inB2; - inA2 = *pInA++; - inB2 = *pInB++; - - sum += inA1 * inB1; - sum += inA2 * inB2; - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* Decrement the loop counter */ - colCnt--; - } - - /* process odd column samples */ - colCnt = numColsA % 0x4u; - - while(colCnt > 0u) - { - /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ - sum += (q31_t) (*pInA++) * (*pInB++); - - colCnt--; - } - - /* Saturate and store the result in the destination buffer */ - *px = (q15_t) (sum >> 15); - px++; - - /* Decrement the column loop counter */ - col--; - - } while(col > 0u); - - i = i + numColsA; - - /* Decrement the row loop counter */ - row--; - - } while(row > 0u); - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixMult group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_mult_fast_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,226 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_mult_fast_q31.c -* -* Description: Q31 matrix multiplication (fast variant). -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixMult - * @{ - */ - -/** - * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 - * @param[in] *pSrcA points to the first input matrix structure - * @param[in] *pSrcB points to the second input matrix structure - * @param[out] *pDst points to output matrix structure - * @return The function returns either - * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The difference between the function arm_mat_mult_q31() and this fast variant is that - * the fast variant use a 32-bit rather than a 64-bit accumulator. - * The result of each 1.31 x 1.31 multiplication is truncated to - * 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30 - * format. Finally, the accumulator is saturated and converted to a 1.31 result. - * - * \par - * The fast version has the same overflow behavior as the standard version but provides - * less precision since it discards the low 32 bits of each multiplication result. - * In order to avoid overflows completely the input signals must be scaled down. - * Scale down one of the input matrices by log2(numColsA) bits to - * avoid overflows, as a total of numColsA additions are computed internally for each - * output element. - * - * \par - * See <code>arm_mat_mult_q31()</code> for a slower implementation of this function - * which uses 64-bit accumulation to provide higher precision. - */ - -arm_status arm_mat_mult_fast_q31( - const arm_matrix_instance_q31 * pSrcA, - const arm_matrix_instance_q31 * pSrcB, - arm_matrix_instance_q31 * pDst) -{ - q31_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ - q31_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ - q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */ -// q31_t *pSrcB = pSrcB->pData; /* input data matrix pointer B */ - q31_t *pOut = pDst->pData; /* output data matrix pointer */ - q31_t *px; /* Temporary output data matrix pointer */ - q31_t sum; /* Accumulator */ - uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ - uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ - uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ - uint16_t col, i = 0u, j, row = numRowsA, colCnt; /* loop counters */ - arm_status status; /* status of matrix multiplication */ - q31_t inA1, inA2, inA3, inA4, inB1, inB2, inB3, inB4; - -#ifdef ARM_MATH_MATRIX_CHECK - - - /* Check for matrix mismatch condition */ - if((pSrcA->numCols != pSrcB->numRows) || - (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ - /* row loop */ - do - { - /* Output pointer is set to starting address of the row being processed */ - px = pOut + i; - - /* For every row wise process, the column loop counter is to be initiated */ - col = numColsB; - - /* For every row wise process, the pIn2 pointer is set - ** to the starting address of the pSrcB data */ - pIn2 = pSrcB->pData; - - j = 0u; - - /* column loop */ - do - { - /* Set the variable sum, that acts as accumulator, to zero */ - sum = 0; - - /* Initiate the pointer pIn1 to point to the starting address of pInA */ - pIn1 = pInA; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - colCnt = numColsA >> 2; - - - /* matrix multiplication */ - while(colCnt > 0u) - { - /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ - /* Perform the multiply-accumulates */ - inB1 = *pIn2; - pIn2 += numColsB; - - inA1 = pIn1[0]; - inA2 = pIn1[1]; - - inB2 = *pIn2; - pIn2 += numColsB; - - inB3 = *pIn2; - pIn2 += numColsB; - - sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA1 * inB1)) >> 32); - sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA2 * inB2)) >> 32); - - inA3 = pIn1[2]; - inA4 = pIn1[3]; - - inB4 = *pIn2; - pIn2 += numColsB; - - sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA3 * inB3)) >> 32); - sum = (q31_t) ((((q63_t) sum << 32) + ((q63_t) inA4 * inB4)) >> 32); - - pIn1 += 4u; - - /* Decrement the loop counter */ - colCnt--; - } - - /* If the columns of pSrcA is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - colCnt = numColsA % 0x4u; - - while(colCnt > 0u) - { - /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ - /* Perform the multiply-accumulates */ - sum = (q31_t) ((((q63_t) sum << 32) + - ((q63_t) * pIn1++ * (*pIn2))) >> 32); - pIn2 += numColsB; - - /* Decrement the loop counter */ - colCnt--; - } - - /* Convert the result from 2.30 to 1.31 format and store in destination buffer */ - *px++ = sum << 1; - - /* Update the pointer pIn2 to point to the starting address of the next column */ - j++; - pIn2 = pSrcB->pData + j; - - /* Decrement the column loop counter */ - col--; - - } while(col > 0u); - - /* Update the pointer pInA to point to the starting address of the next row */ - i = i + numColsB; - pInA = pInA + numColsA; - - /* Decrement the row loop counter */ - row--; - - } while(row > 0u); - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixMult group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_mult_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,469 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_mult_q15.c -* -* Description: Q15 matrix multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixMult - * @{ - */ - - -/** - * @brief Q15 matrix multiplication - * @param[in] *pSrcA points to the first input matrix structure - * @param[in] *pSrcB points to the second input matrix structure - * @param[out] *pDst points to output matrix structure - * @param[in] *pState points to the array for storing intermediate results - * @return The function returns either - * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 64-bit internal accumulator. The inputs to the - * multiplications are in 1.15 format and multiplications yield a 2.30 result. - * The 2.30 intermediate - * results are accumulated in a 64-bit accumulator in 34.30 format. This approach - * provides 33 guard bits and there is no risk of overflow. The 34.30 result is then - * truncated to 34.15 format by discarding the low 15 bits and then saturated to - * 1.15 format. - * - * \par - * Refer to <code>arm_mat_mult_fast_q15()</code> for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. - * - */ - -arm_status arm_mat_mult_q15( - const arm_matrix_instance_q15 * pSrcA, - const arm_matrix_instance_q15 * pSrcB, - arm_matrix_instance_q15 * pDst, - q15_t * pState CMSIS_UNUSED) -{ - q63_t sum; /* accumulator */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q15_t *pSrcBT = pState; /* input data matrix pointer for transpose */ - q15_t *pInA = pSrcA->pData; /* input data matrix pointer A of Q15 type */ - q15_t *pInB = pSrcB->pData; /* input data matrix pointer B of Q15 type */ - q15_t *px; /* Temporary output data matrix pointer */ - uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ - uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ - uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ - uint16_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */ - uint16_t col, i = 0u, row = numRowsB, colCnt; /* loop counters */ - arm_status status; /* status of matrix multiplication */ - -#ifndef UNALIGNED_SUPPORT_DISABLE - - q31_t in; /* Temporary variable to hold the input value */ - q31_t pSourceA1, pSourceB1, pSourceA2, pSourceB2; - -#else - - q15_t in; /* Temporary variable to hold the input value */ - q15_t inA1, inB1, inA2, inB2; - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - -#ifdef ARM_MATH_MATRIX_CHECK - /* Check for matrix mismatch condition */ - if((pSrcA->numCols != pSrcB->numRows) || - (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - { - /* Matrix transpose */ - do - { - /* Apply loop unrolling and exchange the columns with row elements */ - col = numColsB >> 2; - - /* The pointer px is set to starting address of the column being processed */ - px = pSrcBT + i; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(col > 0u) - { -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Read two elements from the row */ - in = *__SIMD32(pInB)++; - - /* Unpack and store one element in the destination */ -#ifndef ARM_MATH_BIG_ENDIAN - - *px = (q15_t) in; - -#else - - *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Unpack and store the second element in the destination */ -#ifndef ARM_MATH_BIG_ENDIAN - - *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); - -#else - - *px = (q15_t) in; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Read two elements from the row */ - in = *__SIMD32(pInB)++; - - /* Unpack and store one element in the destination */ -#ifndef ARM_MATH_BIG_ENDIAN - - *px = (q15_t) in; - -#else - - *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Unpack and store the second element in the destination */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); - -#else - - *px = (q15_t) in; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - -#else - - /* Read one element from the row */ - in = *pInB++; - - /* Store one element in the destination */ - *px = in; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Read one element from the row */ - in = *pInB++; - - /* Store one element in the destination */ - *px = in; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Read one element from the row */ - in = *pInB++; - - /* Store one element in the destination */ - *px = in; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Read one element from the row */ - in = *pInB++; - - /* Store one element in the destination */ - *px = in; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* Decrement the column loop counter */ - col--; - } - - /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - col = numColsB % 0x4u; - - while(col > 0u) - { - /* Read and store the input element in the destination */ - *px = *pInB++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += numRowsB; - - /* Decrement the column loop counter */ - col--; - } - - i++; - - /* Decrement the row loop counter */ - row--; - - } while(row > 0u); - - /* Reset the variables for the usage in the following multiplication process */ - row = numRowsA; - i = 0u; - px = pDst->pData; - - /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ - /* row loop */ - do - { - /* For every row wise process, the column loop counter is to be initiated */ - col = numColsB; - - /* For every row wise process, the pIn2 pointer is set - ** to the starting address of the transposed pSrcB data */ - pInB = pSrcBT; - - /* column loop */ - do - { - /* Set the variable sum, that acts as accumulator, to zero */ - sum = 0; - - /* Apply loop unrolling and compute 2 MACs simultaneously. */ - colCnt = numColsA >> 2; - - /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ - pInA = pSrcA->pData + i; - - - /* matrix multiplication */ - while(colCnt > 0u) - { - /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* read real and imag values from pSrcA and pSrcB buffer */ - pSourceA1 = *__SIMD32(pInA)++; - pSourceB1 = *__SIMD32(pInB)++; - - pSourceA2 = *__SIMD32(pInA)++; - pSourceB2 = *__SIMD32(pInB)++; - - /* Multiply and Accumlates */ - sum = __SMLALD(pSourceA1, pSourceB1, sum); - sum = __SMLALD(pSourceA2, pSourceB2, sum); - -#else - /* read real and imag values from pSrcA and pSrcB buffer */ - inA1 = *pInA++; - inB1 = *pInB++; - inA2 = *pInA++; - /* Multiply and Accumlates */ - sum += inA1 * inB1; - inB2 = *pInB++; - - inA1 = *pInA++; - inB1 = *pInB++; - /* Multiply and Accumlates */ - sum += inA2 * inB2; - inA2 = *pInA++; - inB2 = *pInB++; - - /* Multiply and Accumlates */ - sum += inA1 * inB1; - sum += inA2 * inB2; - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* Decrement the loop counter */ - colCnt--; - } - - /* process remaining column samples */ - colCnt = numColsA & 3u; - - while(colCnt > 0u) - { - /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ - sum += *pInA++ * *pInB++; - - /* Decrement the loop counter */ - colCnt--; - } - - /* Saturate and store the result in the destination buffer */ - *px = (q15_t) (__SSAT((sum >> 15), 16)); - px++; - - /* Decrement the column loop counter */ - col--; - - } while(col > 0u); - - i = i + numColsA; - - /* Decrement the row loop counter */ - row--; - - } while(row > 0u); - -#else - - /* Run the below code for Cortex-M0 */ - - q15_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ - q15_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ - q15_t *pInA = pSrcA->pData; /* input data matrix pointer A of Q15 type */ - q15_t *pInB = pSrcB->pData; /* input data matrix pointer B of Q15 type */ - q15_t *pOut = pDst->pData; /* output data matrix pointer */ - q15_t *px; /* Temporary output data matrix pointer */ - uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ - uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ - uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ - uint16_t col, i = 0u, row = numRowsA, colCnt; /* loop counters */ - arm_status status; /* status of matrix multiplication */ - -#ifdef ARM_MATH_MATRIX_CHECK - - /* Check for matrix mismatch condition */ - if((pSrcA->numCols != pSrcB->numRows) || - (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ - /* row loop */ - do - { - /* Output pointer is set to starting address of the row being processed */ - px = pOut + i; - - /* For every row wise process, the column loop counter is to be initiated */ - col = numColsB; - - /* For every row wise process, the pIn2 pointer is set - ** to the starting address of the pSrcB data */ - pIn2 = pSrcB->pData; - - /* column loop */ - do - { - /* Set the variable sum, that acts as accumulator, to zero */ - sum = 0; - - /* Initiate the pointer pIn1 to point to the starting address of pSrcA */ - pIn1 = pInA; - - /* Matrix A columns number of MAC operations are to be performed */ - colCnt = numColsA; - - /* matrix multiplication */ - while(colCnt > 0u) - { - /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ - /* Perform the multiply-accumulates */ - sum += (q31_t) * pIn1++ * *pIn2; - pIn2 += numColsB; - - /* Decrement the loop counter */ - colCnt--; - } - - /* Convert the result from 34.30 to 1.15 format and store the saturated value in destination buffer */ - /* Saturate and store the result in the destination buffer */ - *px++ = (q15_t) __SSAT((sum >> 15), 16); - - /* Decrement the column loop counter */ - col--; - - /* Update the pointer pIn2 to point to the starting address of the next column */ - pIn2 = pInB + (numColsB - col); - - } while(col > 0u); - - /* Update the pointer pSrcA to point to the starting address of the next row */ - i = i + numColsB; - pInA = pInA + numColsA; - - /* Decrement the row loop counter */ - row--; - - } while(row > 0u); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixMult group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_mult_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,294 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_mult_q31.c -* -* Description: Q31 matrix multiplication. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixMult - * @{ - */ - -/** - * @brief Q31 matrix multiplication - * @param[in] *pSrcA points to the first input matrix structure - * @param[in] *pSrcB points to the second input matrix structure - * @param[out] *pDst points to output matrix structure - * @return The function returns either - * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using an internal 64-bit accumulator. - * The accumulator has a 2.62 format and maintains full precision of the intermediate - * multiplication results but provides only a single guard bit. There is no saturation - * on intermediate additions. Thus, if the accumulator overflows it wraps around and - * distorts the result. The input signals should be scaled down to avoid intermediate - * overflows. The input is thus scaled down by log2(numColsA) bits - * to avoid overflows, as a total of numColsA additions are performed internally. - * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. - * - * \par - * See <code>arm_mat_mult_fast_q31()</code> for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. - * - */ - -arm_status arm_mat_mult_q31( - const arm_matrix_instance_q31 * pSrcA, - const arm_matrix_instance_q31 * pSrcB, - arm_matrix_instance_q31 * pDst) -{ - q31_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ - q31_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ - q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */ - q31_t *pOut = pDst->pData; /* output data matrix pointer */ - q31_t *px; /* Temporary output data matrix pointer */ - q63_t sum; /* Accumulator */ - uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ - uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ - uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - uint16_t col, i = 0u, j, row = numRowsA, colCnt; /* loop counters */ - arm_status status; /* status of matrix multiplication */ - q31_t a0, a1, a2, a3, b0, b1, b2, b3; - -#ifdef ARM_MATH_MATRIX_CHECK - - - /* Check for matrix mismatch condition */ - if((pSrcA->numCols != pSrcB->numRows) || - (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ - /* row loop */ - do - { - /* Output pointer is set to starting address of the row being processed */ - px = pOut + i; - - /* For every row wise process, the column loop counter is to be initiated */ - col = numColsB; - - /* For every row wise process, the pIn2 pointer is set - ** to the starting address of the pSrcB data */ - pIn2 = pSrcB->pData; - - j = 0u; - - /* column loop */ - do - { - /* Set the variable sum, that acts as accumulator, to zero */ - sum = 0; - - /* Initiate the pointer pIn1 to point to the starting address of pInA */ - pIn1 = pInA; - - /* Apply loop unrolling and compute 4 MACs simultaneously. */ - colCnt = numColsA >> 2; - - - /* matrix multiplication */ - while(colCnt > 0u) - { - /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ - /* Perform the multiply-accumulates */ - b0 = *pIn2; - pIn2 += numColsB; - - a0 = *pIn1++; - a1 = *pIn1++; - - b1 = *pIn2; - pIn2 += numColsB; - b2 = *pIn2; - pIn2 += numColsB; - - sum += (q63_t) a0 *b0; - sum += (q63_t) a1 *b1; - - a2 = *pIn1++; - a3 = *pIn1++; - - b3 = *pIn2; - pIn2 += numColsB; - - sum += (q63_t) a2 *b2; - sum += (q63_t) a3 *b3; - - /* Decrement the loop counter */ - colCnt--; - } - - /* If the columns of pSrcA is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - colCnt = numColsA % 0x4u; - - while(colCnt > 0u) - { - /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ - /* Perform the multiply-accumulates */ - sum += (q63_t) * pIn1++ * *pIn2; - pIn2 += numColsB; - - /* Decrement the loop counter */ - colCnt--; - } - - /* Convert the result from 2.62 to 1.31 format and store in destination buffer */ - *px++ = (q31_t) (sum >> 31); - - /* Update the pointer pIn2 to point to the starting address of the next column */ - j++; - pIn2 = (pSrcB->pData) + j; - - /* Decrement the column loop counter */ - col--; - - } while(col > 0u); - -#else - - /* Run the below code for Cortex-M0 */ - - q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */ - uint16_t col, i = 0u, row = numRowsA, colCnt; /* loop counters */ - arm_status status; /* status of matrix multiplication */ - - -#ifdef ARM_MATH_MATRIX_CHECK - - /* Check for matrix mismatch condition */ - if((pSrcA->numCols != pSrcB->numRows) || - (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ - /* row loop */ - do - { - /* Output pointer is set to starting address of the row being processed */ - px = pOut + i; - - /* For every row wise process, the column loop counter is to be initiated */ - col = numColsB; - - /* For every row wise process, the pIn2 pointer is set - ** to the starting address of the pSrcB data */ - pIn2 = pSrcB->pData; - - /* column loop */ - do - { - /* Set the variable sum, that acts as accumulator, to zero */ - sum = 0; - - /* Initiate the pointer pIn1 to point to the starting address of pInA */ - pIn1 = pInA; - - /* Matrix A columns number of MAC operations are to be performed */ - colCnt = numColsA; - - /* matrix multiplication */ - while(colCnt > 0u) - { - /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ - /* Perform the multiply-accumulates */ - sum += (q63_t) * pIn1++ * *pIn2; - pIn2 += numColsB; - - /* Decrement the loop counter */ - colCnt--; - } - - /* Convert the result from 2.62 to 1.31 format and store in destination buffer */ - *px++ = (q31_t) (sum >> 31); - - /* Decrement the column loop counter */ - col--; - - /* Update the pointer pIn2 to point to the starting address of the next column */ - pIn2 = pInB + (numColsB - col); - - } while(col > 0u); - -#endif - - /* Update the pointer pInA to point to the starting address of the next row */ - i = i + numColsB; - pInA = pInA + numColsA; - - /* Decrement the row loop counter */ - row--; - - } while(row > 0u); - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixMult group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_scale_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,181 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_scale_f32.c -* -* Description: Multiplies a floating-point matrix by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @defgroup MatrixScale Matrix Scale - * - * Multiplies a matrix by a scalar. This is accomplished by multiplying each element in the - * matrix by the scalar. For example: - * \image html MatrixScale.gif "Matrix Scaling of a 3 x 3 matrix" - * - * The function checks to make sure that the input and output matrices are of the same size. - * - * In the fixed-point Q15 and Q31 functions, <code>scale</code> is represented by - * a fractional multiplication <code>scaleFract</code> and an arithmetic shift <code>shift</code>. - * The shift allows the gain of the scaling operation to exceed 1.0. - * The overall scale factor applied to the fixed-point data is - * <pre> - * scale = scaleFract * 2^shift. - * </pre> - */ - -/** - * @addtogroup MatrixScale - * @{ - */ - -/** - * @brief Floating-point matrix scaling. - * @param[in] *pSrc points to input matrix structure - * @param[in] scale scale factor to be applied - * @param[out] *pDst points to output matrix structure - * @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> - * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - * - */ - -arm_status arm_mat_scale_f32( - const arm_matrix_instance_f32 * pSrc, - float32_t scale, - arm_matrix_instance_f32 * pDst) -{ - float32_t *pIn = pSrc->pData; /* input data matrix pointer */ - float32_t *pOut = pDst->pData; /* output data matrix pointer */ - uint32_t numSamples; /* total number of elements in the matrix */ - uint32_t blkCnt; /* loop counters */ - arm_status status; /* status of matrix scaling */ - -#ifndef ARM_MATH_CM0_FAMILY - - float32_t in1, in2, in3, in4; /* temporary variables */ - float32_t out1, out2, out3, out4; /* temporary variables */ - -#endif // #ifndef ARM_MATH_CM0_FAMILY - -#ifdef ARM_MATH_MATRIX_CHECK - /* Check for matrix mismatch condition */ - if((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - { - /* Total number of samples in the input matrix */ - numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Loop Unrolling */ - blkCnt = numSamples >> 2; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) * scale */ - /* Scaling and results are stored in the destination buffer. */ - in1 = pIn[0]; - in2 = pIn[1]; - in3 = pIn[2]; - in4 = pIn[3]; - - out1 = in1 * scale; - out2 = in2 * scale; - out3 = in3 * scale; - out4 = in4 * scale; - - - pOut[0] = out1; - pOut[1] = out2; - pOut[2] = out3; - pOut[3] = out4; - - /* update pointers to process next sampels */ - pIn += 4u; - pOut += 4u; - - /* Decrement the numSamples loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = numSamples; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) * scale */ - /* The results are stored in the destination buffer. */ - *pOut++ = (*pIn++) * scale; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixScale group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_scale_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,183 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_scale_q15.c -* -* Description: Multiplies a Q15 matrix by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixScale - * @{ - */ - -/** - * @brief Q15 matrix scaling. - * @param[in] *pSrc points to input matrix - * @param[in] scaleFract fractional portion of the scale factor - * @param[in] shift number of bits to shift the result by - * @param[out] *pDst points to output matrix structure - * @return The function returns either - * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * \par - * The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.15 format. - * These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format. - */ - -arm_status arm_mat_scale_q15( - const arm_matrix_instance_q15 * pSrc, - q15_t scaleFract, - int32_t shift, - arm_matrix_instance_q15 * pDst) -{ - q15_t *pIn = pSrc->pData; /* input data matrix pointer */ - q15_t *pOut = pDst->pData; /* output data matrix pointer */ - uint32_t numSamples; /* total number of elements in the matrix */ - int32_t totShift = 15 - shift; /* total shift to apply after scaling */ - uint32_t blkCnt; /* loop counters */ - arm_status status; /* status of matrix scaling */ - -#ifndef ARM_MATH_CM0_FAMILY - - q15_t in1, in2, in3, in4; - q31_t out1, out2, out3, out4; - q31_t inA1, inA2; - -#endif // #ifndef ARM_MATH_CM0_FAMILY - -#ifdef ARM_MATH_MATRIX_CHECK - /* Check for matrix mismatch */ - if((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif // #ifdef ARM_MATH_MATRIX_CHECK - { - /* Total number of samples in the input matrix */ - numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - /* Loop Unrolling */ - blkCnt = numSamples >> 2; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) * k */ - /* Scale, saturate and then store the results in the destination buffer. */ - /* Reading 2 inputs from memory */ - inA1 = _SIMD32_OFFSET(pIn); - inA2 = _SIMD32_OFFSET(pIn + 2); - - /* C = A * scale */ - /* Scale the inputs and then store the 2 results in the destination buffer - * in single cycle by packing the outputs */ - out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract); - out2 = (q31_t) ((q15_t) inA1 * scaleFract); - out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract); - out4 = (q31_t) ((q15_t) inA2 * scaleFract); - - out1 = out1 >> totShift; - inA1 = _SIMD32_OFFSET(pIn + 4); - out2 = out2 >> totShift; - inA2 = _SIMD32_OFFSET(pIn + 6); - out3 = out3 >> totShift; - out4 = out4 >> totShift; - - in1 = (q15_t) (__SSAT(out1, 16)); - in2 = (q15_t) (__SSAT(out2, 16)); - in3 = (q15_t) (__SSAT(out3, 16)); - in4 = (q15_t) (__SSAT(out4, 16)); - - _SIMD32_OFFSET(pOut) = __PKHBT(in2, in1, 16); - _SIMD32_OFFSET(pOut + 2) = __PKHBT(in4, in3, 16); - - /* update pointers to process next sampels */ - pIn += 4u; - pOut += 4u; - - - /* Decrement the numSamples loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = numSamples; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) * k */ - /* Scale, saturate and then store the results in the destination buffer. */ - *pOut++ = - (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> totShift, 16)); - - /* Decrement the numSamples loop counter */ - blkCnt--; - } - /* Set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixScale group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_scale_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,202 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_scale_q31.c -* -* Description: Multiplies a Q31 matrix by a scalar. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. ------------------------------------------------ */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixScale - * @{ - */ - -/** - * @brief Q31 matrix scaling. - * @param[in] *pSrc points to input matrix - * @param[in] scaleFract fractional portion of the scale factor - * @param[in] shift number of bits to shift the result by - * @param[out] *pDst points to output matrix structure - * @return The function returns either - * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * \par - * The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.31 format. - * These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format. - */ - -arm_status arm_mat_scale_q31( - const arm_matrix_instance_q31 * pSrc, - q31_t scaleFract, - int32_t shift, - arm_matrix_instance_q31 * pDst) -{ - q31_t *pIn = pSrc->pData; /* input data matrix pointer */ - q31_t *pOut = pDst->pData; /* output data matrix pointer */ - uint32_t numSamples; /* total number of elements in the matrix */ - int32_t totShift = shift + 1; /* shift to apply after scaling */ - uint32_t blkCnt; /* loop counters */ - arm_status status; /* status of matrix scaling */ - q31_t in1, in2, out1; /* temporary variabels */ - -#ifndef ARM_MATH_CM0_FAMILY - - q31_t in3, in4, out2, out3, out4; /* temporary variables */ - -#endif // #ifndef ARM_MAT_CM0 - -#ifdef ARM_MATH_MATRIX_CHECK - /* Check for matrix mismatch */ - if((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif // #ifdef ARM_MATH_MATRIX_CHECK - { - /* Total number of samples in the input matrix */ - numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) * k */ - /* Read values from input */ - in1 = *pIn; - in2 = *(pIn + 1); - in3 = *(pIn + 2); - in4 = *(pIn + 3); - - /* multiply input with scaler value */ - in1 = ((q63_t) in1 * scaleFract) >> 32; - in2 = ((q63_t) in2 * scaleFract) >> 32; - in3 = ((q63_t) in3 * scaleFract) >> 32; - in4 = ((q63_t) in4 * scaleFract) >> 32; - - /* apply shifting */ - out1 = in1 << totShift; - out2 = in2 << totShift; - - /* saturate the results. */ - if(in1 != (out1 >> totShift)) - out1 = 0x7FFFFFFF ^ (in1 >> 31); - - if(in2 != (out2 >> totShift)) - out2 = 0x7FFFFFFF ^ (in2 >> 31); - - out3 = in3 << totShift; - out4 = in4 << totShift; - - *pOut = out1; - *(pOut + 1) = out2; - - if(in3 != (out3 >> totShift)) - out3 = 0x7FFFFFFF ^ (in3 >> 31); - - if(in4 != (out4 >> totShift)) - out4 = 0x7FFFFFFF ^ (in4 >> 31); - - - *(pOut + 2) = out3; - *(pOut + 3) = out4; - - /* update pointers to process next sampels */ - pIn += 4u; - pOut += 4u; - - - /* Decrement the numSamples loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = numSamples; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) * k */ - /* Scale, saturate and then store the results in the destination buffer. */ - in1 = *pIn++; - - in2 = ((q63_t) in1 * scaleFract) >> 32; - - out1 = in2 << totShift; - - if(in2 != (out1 >> totShift)) - out1 = 0x7FFFFFFF ^ (in2 >> 31); - - *pOut++ = out1; - - /* Decrement the numSamples loop counter */ - blkCnt--; - } - - /* Set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixScale group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_sub_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,209 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_sub_f32.c -* -* Description: Floating-point matrix subtraction. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @defgroup MatrixSub Matrix Subtraction - * - * Subtract two matrices. - * \image html MatrixSubtraction.gif "Subraction of two 3 x 3 matrices" - * - * The functions check to make sure that - * <code>pSrcA</code>, <code>pSrcB</code>, and <code>pDst</code> have the same - * number of rows and columns. - */ - -/** - * @addtogroup MatrixSub - * @{ - */ - -/** - * @brief Floating-point matrix subtraction - * @param[in] *pSrcA points to the first input matrix structure - * @param[in] *pSrcB points to the second input matrix structure - * @param[out] *pDst points to output matrix structure - * @return The function returns either - * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - */ - -arm_status arm_mat_sub_f32( - const arm_matrix_instance_f32 * pSrcA, - const arm_matrix_instance_f32 * pSrcB, - arm_matrix_instance_f32 * pDst) -{ - float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ - float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ - float32_t *pOut = pDst->pData; /* output data matrix pointer */ - -#ifndef ARM_MATH_CM0_FAMILY - - float32_t inA1, inA2, inB1, inB2, out1, out2; /* temporary variables */ - -#endif // #ifndef ARM_MATH_CM0_FAMILY - - uint32_t numSamples; /* total number of elements in the matrix */ - uint32_t blkCnt; /* loop counters */ - arm_status status; /* status of matrix subtraction */ - -#ifdef ARM_MATH_MATRIX_CHECK - /* Check for matrix mismatch condition */ - if((pSrcA->numRows != pSrcB->numRows) || - (pSrcA->numCols != pSrcB->numCols) || - (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - { - /* Total number of samples in the input matrix */ - numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) - B(m,n) */ - /* Subtract and then store the results in the destination buffer. */ - /* Read values from source A */ - inA1 = pIn1[0]; - - /* Read values from source B */ - inB1 = pIn2[0]; - - /* Read values from source A */ - inA2 = pIn1[1]; - - /* out = sourceA - sourceB */ - out1 = inA1 - inB1; - - /* Read values from source B */ - inB2 = pIn2[1]; - - /* Read values from source A */ - inA1 = pIn1[2]; - - /* out = sourceA - sourceB */ - out2 = inA2 - inB2; - - /* Read values from source B */ - inB1 = pIn2[2]; - - /* Store result in destination */ - pOut[0] = out1; - pOut[1] = out2; - - /* Read values from source A */ - inA2 = pIn1[3]; - - /* Read values from source B */ - inB2 = pIn2[3]; - - /* out = sourceA - sourceB */ - out1 = inA1 - inB1; - - - /* out = sourceA - sourceB */ - out2 = inA2 - inB2; - - /* Store result in destination */ - pOut[2] = out1; - - /* Store result in destination */ - pOut[3] = out2; - - - /* update pointers to process next sampels */ - pIn1 += 4u; - pIn2 += 4u; - pOut += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = numSamples; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) - B(m,n) */ - /* Subtract and then store the results in the destination buffer. */ - *pOut++ = (*pIn1++) - (*pIn2++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixSub group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_sub_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,160 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_sub_q15.c -* -* Description: Q15 Matrix subtraction -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixSub - * @{ - */ - -/** - * @brief Q15 matrix subtraction. - * @param[in] *pSrcA points to the first input matrix structure - * @param[in] *pSrcB points to the second input matrix structure - * @param[out] *pDst points to output matrix structure - * @return The function returns either - * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - */ - -arm_status arm_mat_sub_q15( - const arm_matrix_instance_q15 * pSrcA, - const arm_matrix_instance_q15 * pSrcB, - arm_matrix_instance_q15 * pDst) -{ - q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */ - q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */ - q15_t *pOut = pDst->pData; /* output data matrix pointer */ - uint32_t numSamples; /* total number of elements in the matrix */ - uint32_t blkCnt; /* loop counters */ - arm_status status; /* status of matrix subtraction */ - - -#ifdef ARM_MATH_MATRIX_CHECK - - - /* Check for matrix mismatch condition */ - if((pSrcA->numRows != pSrcB->numRows) || - (pSrcA->numCols != pSrcB->numCols) || - (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* Total number of samples in the input matrix */ - numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Apply loop unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) - B(m,n) */ - /* Subtract, Saturate and then store the results in the destination buffer. */ - *__SIMD32(pOut)++ = __QSUB16(*__SIMD32(pInA)++, *__SIMD32(pInB)++); - *__SIMD32(pOut)++ = __QSUB16(*__SIMD32(pInA)++, *__SIMD32(pInB)++); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) - B(m,n) */ - /* Subtract and then store the results in the destination buffer. */ - *pOut++ = (q15_t) __QSUB16(*pInA++, *pInB++); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = numSamples; - - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) - B(m,n) */ - /* Subtract and then store the results in the destination buffer. */ - *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /* Set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixSub group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_sub_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,208 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_sub_q31.c -* -* Description: Q31 matrix subtraction -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixSub - * @{ - */ - -/** - * @brief Q31 matrix subtraction. - * @param[in] *pSrcA points to the first input matrix structure - * @param[in] *pSrcB points to the second input matrix structure - * @param[out] *pDst points to output matrix structure - * @return The function returns either - * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - * - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. - */ - - -arm_status arm_mat_sub_q31( - const arm_matrix_instance_q31 * pSrcA, - const arm_matrix_instance_q31 * pSrcB, - arm_matrix_instance_q31 * pDst) -{ - q31_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ - q31_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ - q31_t *pOut = pDst->pData; /* output data matrix pointer */ - q31_t inA1, inB1; /* temporary variables */ - -#ifndef ARM_MATH_CM0_FAMILY - - q31_t inA2, inB2; /* temporary variables */ - q31_t out1, out2; /* temporary variables */ - -#endif // #ifndef ARM_MATH_CM0_FAMILY - - uint32_t numSamples; /* total number of elements in the matrix */ - uint32_t blkCnt; /* loop counters */ - arm_status status; /* status of matrix subtraction */ - - -#ifdef ARM_MATH_MATRIX_CHECK - /* Check for matrix mismatch condition */ - if((pSrcA->numRows != pSrcB->numRows) || - (pSrcA->numCols != pSrcB->numCols) || - (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif - { - /* Total number of samples in the input matrix */ - numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Loop Unrolling */ - blkCnt = numSamples >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) - B(m,n) */ - /* Subtract, saturate and then store the results in the destination buffer. */ - /* Read values from source A */ - inA1 = pIn1[0]; - - /* Read values from source B */ - inB1 = pIn2[0]; - - /* Read values from source A */ - inA2 = pIn1[1]; - - /* Subtract and saturate */ - out1 = __QSUB(inA1, inB1); - - /* Read values from source B */ - inB2 = pIn2[1]; - - /* Read values from source A */ - inA1 = pIn1[2]; - - /* Subtract and saturate */ - out2 = __QSUB(inA2, inB2); - - /* Read values from source B */ - inB1 = pIn2[2]; - - /* Store result in destination */ - pOut[0] = out1; - pOut[1] = out2; - - /* Read values from source A */ - inA2 = pIn1[3]; - - /* Read values from source B */ - inB2 = pIn2[3]; - - /* Subtract and saturate */ - out1 = __QSUB(inA1, inB1); - - /* Subtract and saturate */ - out2 = __QSUB(inA2, inB2); - - /* Store result in destination */ - pOut[2] = out1; - pOut[3] = out2; - - /* update pointers to process next samples */ - pIn1 += 4u; - pIn2 += 4u; - pOut += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the numSamples is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = numSamples % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initialize blkCnt with number of samples */ - blkCnt = numSamples; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C(m,n) = A(m,n) - B(m,n) */ - /* Subtract, saturate and then store the results in the destination buffer. */ - inA1 = *pIn1++; - inB1 = *pIn2++; - - inA1 = __QSUB(inA1, inB1); - - *pOut++ = inA1; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixSub group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_trans_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,218 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_trans_f32.c -* -* Description: Floating-point matrix transpose. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -/** - * @defgroup MatrixTrans Matrix Transpose - * - * Tranposes a matrix. - * Transposing an <code>M x N</code> matrix flips it around the center diagonal and results in an <code>N x M</code> matrix. - * \image html MatrixTranspose.gif "Transpose of a 3 x 3 matrix" - */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixTrans - * @{ - */ - -/** - * @brief Floating-point matrix transpose. - * @param[in] *pSrc points to the input matrix - * @param[out] *pDst points to the output matrix - * @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> - * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - */ - - -arm_status arm_mat_trans_f32( - const arm_matrix_instance_f32 * pSrc, - arm_matrix_instance_f32 * pDst) -{ - float32_t *pIn = pSrc->pData; /* input data matrix pointer */ - float32_t *pOut = pDst->pData; /* output data matrix pointer */ - float32_t *px; /* Temporary output data matrix pointer */ - uint16_t nRows = pSrc->numRows; /* number of rows */ - uint16_t nColumns = pSrc->numCols; /* number of columns */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - uint16_t blkCnt, i = 0u, row = nRows; /* loop counters */ - arm_status status; /* status of matrix transpose */ - - -#ifdef ARM_MATH_MATRIX_CHECK - - - /* Check for matrix mismatch condition */ - if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* Matrix transpose by exchanging the rows with columns */ - /* row loop */ - do - { - /* Loop Unrolling */ - blkCnt = nColumns >> 2; - - /* The pointer px is set to starting address of the column being processed */ - px = pOut + i; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) /* column loop */ - { - /* Read and store the input element in the destination */ - *px = *pIn++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += nRows; - - /* Read and store the input element in the destination */ - *px = *pIn++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += nRows; - - /* Read and store the input element in the destination */ - *px = *pIn++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += nRows; - - /* Read and store the input element in the destination */ - *px = *pIn++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += nRows; - - /* Decrement the column loop counter */ - blkCnt--; - } - - /* Perform matrix transpose for last 3 samples here. */ - blkCnt = nColumns % 0x4u; - - while(blkCnt > 0u) - { - /* Read and store the input element in the destination */ - *px = *pIn++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += nRows; - - /* Decrement the column loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - uint16_t col, i = 0u, row = nRows; /* loop counters */ - arm_status status; /* status of matrix transpose */ - - -#ifdef ARM_MATH_MATRIX_CHECK - - /* Check for matrix mismatch condition */ - if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* Matrix transpose by exchanging the rows with columns */ - /* row loop */ - do - { - /* The pointer px is set to starting address of the column being processed */ - px = pOut + i; - - /* Initialize column loop counter */ - col = nColumns; - - while(col > 0u) - { - /* Read and store the input element in the destination */ - *px = *pIn++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += nRows; - - /* Decrement the column loop counter */ - col--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - i++; - - /* Decrement the row loop counter */ - row--; - - } while(row > 0u); /* row loop end */ - - /* Set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixTrans group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_trans_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,284 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_trans_q15.c -* -* Description: Q15 matrix transpose. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixTrans - * @{ - */ - -/* - * @brief Q15 matrix transpose. - * @param[in] *pSrc points to the input matrix - * @param[out] *pDst points to the output matrix - * @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> - * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - */ - -arm_status arm_mat_trans_q15( - const arm_matrix_instance_q15 * pSrc, - arm_matrix_instance_q15 * pDst) -{ - q15_t *pSrcA = pSrc->pData; /* input data matrix pointer */ - q15_t *pOut = pDst->pData; /* output data matrix pointer */ - uint16_t nRows = pSrc->numRows; /* number of nRows */ - uint16_t nColumns = pSrc->numCols; /* number of nColumns */ - uint16_t col, row = nRows, i = 0u; /* row and column loop counters */ - arm_status status; /* status of matrix transpose */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ -#ifndef UNALIGNED_SUPPORT_DISABLE - - q31_t in; /* variable to hold temporary output */ - -#else - - q15_t in; - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - -#ifdef ARM_MATH_MATRIX_CHECK - - - /* Check for matrix mismatch condition */ - if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* Matrix transpose by exchanging the rows with columns */ - /* row loop */ - do - { - - /* Apply loop unrolling and exchange the columns with row elements */ - col = nColumns >> 2u; - - /* The pointer pOut is set to starting address of the column being processed */ - pOut = pDst->pData + i; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(col > 0u) - { -#ifndef UNALIGNED_SUPPORT_DISABLE - - /* Read two elements from the row */ - in = *__SIMD32(pSrcA)++; - - /* Unpack and store one element in the destination */ -#ifndef ARM_MATH_BIG_ENDIAN - - *pOut = (q15_t) in; - -#else - - *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Update the pointer pOut to point to the next row of the transposed matrix */ - pOut += nRows; - - /* Unpack and store the second element in the destination */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); - -#else - - *pOut = (q15_t) in; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Update the pointer pOut to point to the next row of the transposed matrix */ - pOut += nRows; - - /* Read two elements from the row */ -#ifndef ARM_MATH_BIG_ENDIAN - - in = *__SIMD32(pSrcA)++; - -#else - - in = *__SIMD32(pSrcA)++; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Unpack and store one element in the destination */ -#ifndef ARM_MATH_BIG_ENDIAN - - *pOut = (q15_t) in; - -#else - - *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Update the pointer pOut to point to the next row of the transposed matrix */ - pOut += nRows; - - /* Unpack and store the second element in the destination */ -#ifndef ARM_MATH_BIG_ENDIAN - - *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); - -#else - - *pOut = (q15_t) in; - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - -#else - /* Read one element from the row */ - in = *pSrcA++; - - /* Store one element in the destination */ - *pOut = in; - - /* Update the pointer px to point to the next row of the transposed matrix */ - pOut += nRows; - - /* Read one element from the row */ - in = *pSrcA++; - - /* Store one element in the destination */ - *pOut = in; - - /* Update the pointer px to point to the next row of the transposed matrix */ - pOut += nRows; - - /* Read one element from the row */ - in = *pSrcA++; - - /* Store one element in the destination */ - *pOut = in; - - /* Update the pointer px to point to the next row of the transposed matrix */ - pOut += nRows; - - /* Read one element from the row */ - in = *pSrcA++; - - /* Store one element in the destination */ - *pOut = in; - -#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ - - /* Update the pointer pOut to point to the next row of the transposed matrix */ - pOut += nRows; - - /* Decrement the column loop counter */ - col--; - } - - /* Perform matrix transpose for last 3 samples here. */ - col = nColumns % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - -#ifdef ARM_MATH_MATRIX_CHECK - - /* Check for matrix mismatch condition */ - if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* Matrix transpose by exchanging the rows with columns */ - /* row loop */ - do - { - /* The pointer pOut is set to starting address of the column being processed */ - pOut = pDst->pData + i; - - /* Initialize column loop counter */ - col = nColumns; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(col > 0u) - { - /* Read and store the input element in the destination */ - *pOut = *pSrcA++; - - /* Update the pointer pOut to point to the next row of the transposed matrix */ - pOut += nRows; - - /* Decrement the column loop counter */ - col--; - } - - i++; - - /* Decrement the row loop counter */ - row--; - - } while(row > 0u); - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixTrans group - */
--- a/cmsis_dsp/MatrixFunctions/arm_mat_trans_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,210 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mat_trans_q31.c -* -* Description: Q31 matrix transpose. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupMatrix - */ - -/** - * @addtogroup MatrixTrans - * @{ - */ - -/* - * @brief Q31 matrix transpose. - * @param[in] *pSrc points to the input matrix - * @param[out] *pDst points to the output matrix - * @return The function returns either <code>ARM_MATH_SIZE_MISMATCH</code> - * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. - */ - -arm_status arm_mat_trans_q31( - const arm_matrix_instance_q31 * pSrc, - arm_matrix_instance_q31 * pDst) -{ - q31_t *pIn = pSrc->pData; /* input data matrix pointer */ - q31_t *pOut = pDst->pData; /* output data matrix pointer */ - q31_t *px; /* Temporary output data matrix pointer */ - uint16_t nRows = pSrc->numRows; /* number of nRows */ - uint16_t nColumns = pSrc->numCols; /* number of nColumns */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - uint16_t blkCnt, i = 0u, row = nRows; /* loop counters */ - arm_status status; /* status of matrix transpose */ - - -#ifdef ARM_MATH_MATRIX_CHECK - - - /* Check for matrix mismatch condition */ - if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* Matrix transpose by exchanging the rows with columns */ - /* row loop */ - do - { - /* Apply loop unrolling and exchange the columns with row elements */ - blkCnt = nColumns >> 2u; - - /* The pointer px is set to starting address of the column being processed */ - px = pOut + i; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Read and store the input element in the destination */ - *px = *pIn++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += nRows; - - /* Read and store the input element in the destination */ - *px = *pIn++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += nRows; - - /* Read and store the input element in the destination */ - *px = *pIn++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += nRows; - - /* Read and store the input element in the destination */ - *px = *pIn++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += nRows; - - /* Decrement the column loop counter */ - blkCnt--; - } - - /* Perform matrix transpose for last 3 samples here. */ - blkCnt = nColumns % 0x4u; - - while(blkCnt > 0u) - { - /* Read and store the input element in the destination */ - *px = *pIn++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += nRows; - - /* Decrement the column loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - uint16_t col, i = 0u, row = nRows; /* loop counters */ - arm_status status; /* status of matrix transpose */ - - -#ifdef ARM_MATH_MATRIX_CHECK - - /* Check for matrix mismatch condition */ - if((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) - { - /* Set status as ARM_MATH_SIZE_MISMATCH */ - status = ARM_MATH_SIZE_MISMATCH; - } - else -#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ - - { - /* Matrix transpose by exchanging the rows with columns */ - /* row loop */ - do - { - /* The pointer px is set to starting address of the column being processed */ - px = pOut + i; - - /* Initialize column loop counter */ - col = nColumns; - - while(col > 0u) - { - /* Read and store the input element in the destination */ - *px = *pIn++; - - /* Update the pointer px to point to the next row of the transposed matrix */ - px += nRows; - - /* Decrement the column loop counter */ - col--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - i++; - - /* Decrement the row loop counter */ - row--; - - } - while(row > 0u); /* row loop end */ - - /* set status as ARM_MATH_SUCCESS */ - status = ARM_MATH_SUCCESS; - } - - /* Return to application */ - return (status); -} - -/** - * @} end of MatrixTrans group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_max_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,186 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_max_f32.c -* -* Description: Maximum value of a floating-point vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @defgroup Max Maximum - * - * Computes the maximum value of an array of data. - * The function returns both the maximum value and its position within the array. - * There are separate functions for floating-point, Q31, Q15, and Q7 data types. - */ - -/** - * @addtogroup Max - * @{ - */ - - -/** - * @brief Maximum value of a floating-point vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult maximum value returned here - * @param[out] *pIndex index of maximum value returned here - * @return none. - */ - -void arm_max_f32( - float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult, - uint32_t * pIndex) -{ -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t maxVal1, maxVal2, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex, count; /* loop counter */ - - /* Initialise the count value. */ - count = 0u; - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - - /* Loop unrolling */ - blkCnt = (blockSize - 1u) >> 2u; - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - while(blkCnt > 0u) - { - /* Initialize maxVal to the next consecutive values one by one */ - maxVal1 = *pSrc++; - - maxVal2 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal1) - { - /* Update the maximum value and its index */ - out = maxVal1; - outIndex = count + 1u; - } - - maxVal1 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal2) - { - /* Update the maximum value and its index */ - out = maxVal2; - outIndex = count + 2u; - } - - maxVal2 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal1) - { - /* Update the maximum value and its index */ - out = maxVal1; - outIndex = count + 3u; - } - - /* compare for the maximum value */ - if(out < maxVal2) - { - /* Update the maximum value and its index */ - out = maxVal2; - outIndex = count + 4u; - } - - count += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* if (blockSize - 1u) is not multiple of 4 */ - blkCnt = (blockSize - 1u) % 4u; - -#else - - /* Run the below code for Cortex-M0 */ - float32_t maxVal1, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex; /* loop counter */ - - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - - blkCnt = (blockSize - 1u); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* Initialize maxVal to the next consecutive values one by one */ - maxVal1 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal1) - { - /* Update the maximum value and it's index */ - out = maxVal1; - outIndex = blockSize - blkCnt; - } - - - /* Decrement the loop counter */ - blkCnt--; - - } - - /* Store the maximum value and it's index into destination pointers */ - *pResult = out; - *pIndex = outIndex; -} - -/** - * @} end of Max group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_max_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,176 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_max_q15.c -* -* Description: Maximum value of a Q15 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup Max - * @{ - */ - - -/** - * @brief Maximum value of a Q15 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult maximum value returned here - * @param[out] *pIndex index of maximum value returned here - * @return none. - */ - -void arm_max_q15( - q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult, - uint32_t * pIndex) -{ -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q15_t maxVal1, maxVal2, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex, count; /* loop counter */ - - /* Initialise the count value. */ - count = 0u; - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - - /* Loop unrolling */ - blkCnt = (blockSize - 1u) >> 2u; - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - while(blkCnt > 0u) - { - /* Initialize maxVal to the next consecutive values one by one */ - maxVal1 = *pSrc++; - - maxVal2 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal1) - { - /* Update the maximum value and its index */ - out = maxVal1; - outIndex = count + 1u; - } - - maxVal1 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal2) - { - /* Update the maximum value and its index */ - out = maxVal2; - outIndex = count + 2u; - } - - maxVal2 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal1) - { - /* Update the maximum value and its index */ - out = maxVal1; - outIndex = count + 3u; - } - - /* compare for the maximum value */ - if(out < maxVal2) - { - /* Update the maximum value and its index */ - out = maxVal2; - outIndex = count + 4u; - } - - count += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* if (blockSize - 1u) is not multiple of 4 */ - blkCnt = (blockSize - 1u) % 4u; - -#else - - /* Run the below code for Cortex-M0 */ - q15_t maxVal1, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex; /* loop counter */ - - blkCnt = (blockSize - 1u); - - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* Initialize maxVal to the next consecutive values one by one */ - maxVal1 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal1) - { - /* Update the maximum value and it's index */ - out = maxVal1; - outIndex = blockSize - blkCnt; - } - /* Decrement the loop counter */ - blkCnt--; - - } - - /* Store the maximum value and its index into destination pointers */ - *pResult = out; - *pIndex = outIndex; -} - -/** - * @} end of Max group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_max_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,177 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_max_q31.c -* -* Description: Maximum value of a Q31 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup Max - * @{ - */ - - -/** - * @brief Maximum value of a Q31 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult maximum value returned here - * @param[out] *pIndex index of maximum value returned here - * @return none. - */ - -void arm_max_q31( - q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult, - uint32_t * pIndex) -{ -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t maxVal1, maxVal2, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex, count; /* loop counter */ - - /* Initialise the count value. */ - count = 0u; - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - - /* Loop unrolling */ - blkCnt = (blockSize - 1u) >> 2u; - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - while(blkCnt > 0u) - { - /* Initialize maxVal to the next consecutive values one by one */ - maxVal1 = *pSrc++; - - maxVal2 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal1) - { - /* Update the maximum value and its index */ - out = maxVal1; - outIndex = count + 1u; - } - - maxVal1 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal2) - { - /* Update the maximum value and its index */ - out = maxVal2; - outIndex = count + 2u; - } - - maxVal2 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal1) - { - /* Update the maximum value and its index */ - out = maxVal1; - outIndex = count + 3u; - } - - /* compare for the maximum value */ - if(out < maxVal2) - { - /* Update the maximum value and its index */ - out = maxVal2; - outIndex = count + 4u; - } - - count += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* if (blockSize - 1u) is not multiple of 4 */ - blkCnt = (blockSize - 1u) % 4u; - -#else - - /* Run the below code for Cortex-M0 */ - q31_t maxVal1, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex; /* loop counter */ - - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - - blkCnt = (blockSize - 1u); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* Initialize maxVal to the next consecutive values one by one */ - maxVal1 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal1) - { - /* Update the maximum value and it's index */ - out = maxVal1; - outIndex = blockSize - blkCnt; - } - - /* Decrement the loop counter */ - blkCnt--; - - } - - /* Store the maximum value and its index into destination pointers */ - *pResult = out; - *pIndex = outIndex; -} - -/** - * @} end of Max group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_max_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,177 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_max_q7.c -* -* Description: Maximum value of a Q7 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup Max - * @{ - */ - - -/** - * @brief Maximum value of a Q7 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult maximum value returned here - * @param[out] *pIndex index of maximum value returned here - * @return none. - */ - -void arm_max_q7( - q7_t * pSrc, - uint32_t blockSize, - q7_t * pResult, - uint32_t * pIndex) -{ -#ifndef ARM_MATH_CM0_FAMILY - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q7_t maxVal1, maxVal2, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex, count; /* loop counter */ - - /* Initialise the count value. */ - count = 0u; - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - - /* Loop unrolling */ - blkCnt = (blockSize - 1u) >> 2u; - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - while(blkCnt > 0u) - { - /* Initialize maxVal to the next consecutive values one by one */ - maxVal1 = *pSrc++; - - maxVal2 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal1) - { - /* Update the maximum value and its index */ - out = maxVal1; - outIndex = count + 1u; - } - - maxVal1 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal2) - { - /* Update the maximum value and its index */ - out = maxVal2; - outIndex = count + 2u; - } - - maxVal2 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal1) - { - /* Update the maximum value and its index */ - out = maxVal1; - outIndex = count + 3u; - } - - /* compare for the maximum value */ - if(out < maxVal2) - { - /* Update the maximum value and its index */ - out = maxVal2; - outIndex = count + 4u; - } - - count += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* if (blockSize - 1u) is not multiple of 4 */ - blkCnt = (blockSize - 1u) % 4u; - -#else - - /* Run the below code for Cortex-M0 */ - q7_t maxVal1, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex; /* loop counter */ - - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - - blkCnt = (blockSize - 1u); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* Initialize maxVal to the next consecutive values one by one */ - maxVal1 = *pSrc++; - - /* compare for the maximum value */ - if(out < maxVal1) - { - /* Update the maximum value and it's index */ - out = maxVal1; - outIndex = blockSize - blkCnt; - } - /* Decrement the loop counter */ - blkCnt--; - - } - - /* Store the maximum value and its index into destination pointers */ - *pResult = out; - *pIndex = outIndex; - -} - -/** - * @} end of Max group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_mean_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,139 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mean_f32.c -* -* Description: Mean value of a floating-point vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @defgroup mean Mean - * - * Calculates the mean of the input vector. Mean is defined as the average of the elements in the vector. - * The underlying algorithm is used: - * - * <pre> - * Result = (pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]) / blockSize; - * </pre> - * - * There are separate functions for floating-point, Q31, Q15, and Q7 data types. - */ - -/** - * @addtogroup mean - * @{ - */ - - -/** - * @brief Mean value of a floating-point vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult mean value returned here - * @return none. - */ - - -void arm_mean_f32( - float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult) -{ - float32_t sum = 0.0f; /* Temporary result storage */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - sum += in1; - sum += in2; - sum += in3; - sum += in4; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ - sum += *pSrc++; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ - /* Store the result to the destination */ - *pResult = sum / (float32_t) blockSize; -} - -/** - * @} end of mean group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_mean_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,133 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mean_q15.c -* -* Description: Mean value of a Q15 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup mean - * @{ - */ - -/** - * @brief Mean value of a Q15 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult mean value returned here - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using a 32-bit internal accumulator. - * The input is represented in 1.15 format and is accumulated in a 32-bit - * accumulator in 17.15 format. - * There is no risk of internal overflow with this approach, and the - * full precision of intermediate result is preserved. - * Finally, the accumulator is saturated and truncated to yield a result of 1.15 format. - * - */ - - -void arm_mean_q15( - q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult) -{ - q31_t sum = 0; /* Temporary result storage */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ - in = *__SIMD32(pSrc)++; - sum += ((in << 16) >> 16); - sum += (in >> 16); - in = *__SIMD32(pSrc)++; - sum += ((in << 16) >> 16); - sum += (in >> 16); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ - sum += *pSrc++; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ - /* Store the result to the destination */ - *pResult = (q15_t) (sum / blockSize); -} - -/** - * @} end of mean group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_mean_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,136 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mean_q31.c -* -* Description: Mean value of a Q31 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup mean - * @{ - */ - -/** - * @brief Mean value of a Q31 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult mean value returned here - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - *\par - * The function is implemented using a 64-bit internal accumulator. - * The input is represented in 1.31 format and is accumulated in a 64-bit - * accumulator in 33.31 format. - * There is no risk of internal overflow with this approach, and the - * full precision of intermediate result is preserved. - * Finally, the accumulator is truncated to yield a result of 1.31 format. - * - */ - - -void arm_mean_q31( - q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult) -{ - q63_t sum = 0; /* Temporary result storage */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - sum += in1; - sum += in2; - sum += in3; - sum += in4; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ - sum += *pSrc++; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ - /* Store the result to the destination */ - *pResult = (q31_t) (sum / (int32_t) blockSize); -} - -/** - * @} end of mean group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_mean_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,133 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_mean_q7.c -* -* Description: Mean value of a Q7 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup mean - * @{ - */ - -/** - * @brief Mean value of a Q7 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult mean value returned here - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function is implemented using a 32-bit internal accumulator. - * The input is represented in 1.7 format and is accumulated in a 32-bit - * accumulator in 25.7 format. - * There is no risk of internal overflow with this approach, and the - * full precision of intermediate result is preserved. - * Finally, the accumulator is truncated to yield a result of 1.7 format. - * - */ - - -void arm_mean_q7( - q7_t * pSrc, - uint32_t blockSize, - q7_t * pResult) -{ - q31_t sum = 0; /* Temporary result storage */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ - in = *__SIMD32(pSrc)++; - - sum += ((in << 24) >> 24); - sum += ((in << 16) >> 24); - sum += ((in << 8) >> 24); - sum += (in >> 24); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ - sum += *pSrc++; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ - /* Store the result to the destination */ - *pResult = (q7_t) (sum / (int32_t) blockSize); -} - -/** - * @} end of mean group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_min_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,183 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_min_f32.c -* -* Description: Minimum value of a floating-point vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @defgroup Min Minimum - * - * Computes the minimum value of an array of data. - * The function returns both the minimum value and its position within the array. - * There are separate functions for floating-point, Q31, Q15, and Q7 data types. - */ - -/** - * @addtogroup Min - * @{ - */ - - -/** - * @brief Minimum value of a floating-point vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult minimum value returned here - * @param[out] *pIndex index of minimum value returned here - * @return none. - * - */ - -void arm_min_f32( - float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult, - uint32_t * pIndex) -{ -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - float32_t minVal1, minVal2, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex, count; /* loop counter */ - - /* Initialise the count value. */ - count = 0u; - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - - /* Loop unrolling */ - blkCnt = (blockSize - 1u) >> 2u; - - while(blkCnt > 0) - { - /* Initialize minVal to the next consecutive values one by one */ - minVal1 = *pSrc++; - minVal2 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal1) - { - /* Update the minimum value and its index */ - out = minVal1; - outIndex = count + 1u; - } - - minVal1 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal2) - { - /* Update the minimum value and its index */ - out = minVal2; - outIndex = count + 2u; - } - - minVal2 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal1) - { - /* Update the minimum value and its index */ - out = minVal1; - outIndex = count + 3u; - } - - /* compare for the minimum value */ - if(out > minVal2) - { - /* Update the minimum value and its index */ - out = minVal2; - outIndex = count + 4u; - } - - count += 4u; - - blkCnt--; - } - - /* if (blockSize - 1u ) is not multiple of 4 */ - blkCnt = (blockSize - 1u) % 4u; - -#else - - /* Run the below code for Cortex-M0 */ - float32_t minVal1, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex; /* loop counter */ - - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - - blkCnt = (blockSize - 1u); - -#endif // #ifndef ARM_MATH_CM0_FAMILY - - while(blkCnt > 0) - { - /* Initialize minVal to the next consecutive values one by one */ - minVal1 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal1) - { - /* Update the minimum value and it's index */ - out = minVal1; - outIndex = blockSize - blkCnt; - } - - blkCnt--; - - } - - /* Store the minimum value and it's index into destination pointers */ - *pResult = out; - *pIndex = outIndex; -} - -/** - * @} end of Min group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_min_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,177 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_min_q15.c -* -* Description: Minimum value of a Q15 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - - -/** - * @addtogroup Min - * @{ - */ - - -/** - * @brief Minimum value of a Q15 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult minimum value returned here - * @param[out] *pIndex index of minimum value returned here - * @return none. - * - */ - -void arm_min_q15( - q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult, - uint32_t * pIndex) -{ -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q15_t minVal1, minVal2, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex, count; /* loop counter */ - - /* Initialise the count value. */ - count = 0u; - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - - /* Loop unrolling */ - blkCnt = (blockSize - 1u) >> 2u; - - while(blkCnt > 0) - { - /* Initialize minVal to the next consecutive values one by one */ - minVal1 = *pSrc++; - minVal2 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal1) - { - /* Update the minimum value and its index */ - out = minVal1; - outIndex = count + 1u; - } - - minVal1 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal2) - { - /* Update the minimum value and its index */ - out = minVal2; - outIndex = count + 2u; - } - - minVal2 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal1) - { - /* Update the minimum value and its index */ - out = minVal1; - outIndex = count + 3u; - } - - /* compare for the minimum value */ - if(out > minVal2) - { - /* Update the minimum value and its index */ - out = minVal2; - outIndex = count + 4u; - } - - count += 4u; - - blkCnt--; - } - - /* if (blockSize - 1u ) is not multiple of 4 */ - blkCnt = (blockSize - 1u) % 4u; - -#else - - /* Run the below code for Cortex-M0 */ - q15_t minVal1, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex; /* loop counter */ - - blkCnt = (blockSize - 1u); - - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - -#endif // #ifndef ARM_MATH_CM0_FAMILY - - while(blkCnt > 0) - { - /* Initialize minVal to the next consecutive values one by one */ - minVal1 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal1) - { - /* Update the minimum value and it's index */ - out = minVal1; - outIndex = blockSize - blkCnt; - } - - blkCnt--; - - } - - - - /* Store the minimum value and its index into destination pointers */ - *pResult = out; - *pIndex = outIndex; -} - -/** - * @} end of Min group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_min_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,176 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_min_q31.c -* -* Description: Minimum value of a Q31 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - - -/** - * @addtogroup Min - * @{ - */ - - -/** - * @brief Minimum value of a Q31 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult minimum value returned here - * @param[out] *pIndex index of minimum value returned here - * @return none. - * - */ - -void arm_min_q31( - q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult, - uint32_t * pIndex) -{ -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t minVal1, minVal2, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex, count; /* loop counter */ - - /* Initialise the count value. */ - count = 0u; - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - - - /* Loop unrolling */ - blkCnt = (blockSize - 1u) >> 2u; - - while(blkCnt > 0) - { - /* Initialize minVal to the next consecutive values one by one */ - minVal1 = *pSrc++; - minVal2 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal1) - { - /* Update the minimum value and its index */ - out = minVal1; - outIndex = count + 1u; - } - - minVal1 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal2) - { - /* Update the minimum value and its index */ - out = minVal2; - outIndex = count + 2u; - } - - minVal2 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal1) - { - /* Update the minimum value and its index */ - out = minVal1; - outIndex = count + 3u; - } - - /* compare for the minimum value */ - if(out > minVal2) - { - /* Update the minimum value and its index */ - out = minVal2; - outIndex = count + 4u; - } - - count += 4u; - - blkCnt--; - } - - /* if (blockSize - 1u ) is not multiple of 4 */ - blkCnt = (blockSize - 1u) % 4u; - -#else - - /* Run the below code for Cortex-M0 */ - q31_t minVal1, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex; /* loop counter */ - - blkCnt = (blockSize - 1u); - - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - -#endif // #ifndef ARM_MATH_CM0_FAMILY - - while(blkCnt > 0) - { - /* Initialize minVal to the next consecutive values one by one */ - minVal1 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal1) - { - /* Update the minimum value and it's index */ - out = minVal1; - outIndex = blockSize - blkCnt; - } - - blkCnt--; - - } - - /* Store the minimum value and its index into destination pointers */ - *pResult = out; - *pIndex = outIndex; -} - -/** - * @} end of Min group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_min_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,178 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_min_q7.c -* -* Description: Minimum value of a Q7 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup Min - * @{ - */ - - -/** - * @brief Minimum value of a Q7 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult minimum value returned here - * @param[out] *pIndex index of minimum value returned here - * @return none. - * - */ - -void arm_min_q7( - q7_t * pSrc, - uint32_t blockSize, - q7_t * pResult, - uint32_t * pIndex) -{ -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q7_t minVal1, minVal2, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex, count; /* loop counter */ - - /* Initialise the count value. */ - count = 0u; - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - - /* Loop unrolling */ - blkCnt = (blockSize - 1u) >> 2u; - - while(blkCnt > 0) - { - /* Initialize minVal to the next consecutive values one by one */ - minVal1 = *pSrc++; - minVal2 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal1) - { - /* Update the minimum value and its index */ - out = minVal1; - outIndex = count + 1u; - } - - minVal1 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal2) - { - /* Update the minimum value and its index */ - out = minVal2; - outIndex = count + 2u; - } - - minVal2 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal1) - { - /* Update the minimum value and its index */ - out = minVal1; - outIndex = count + 3u; - } - - /* compare for the minimum value */ - if(out > minVal2) - { - /* Update the minimum value and its index */ - out = minVal2; - outIndex = count + 4u; - } - - count += 4u; - - blkCnt--; - } - - /* if (blockSize - 1u ) is not multiple of 4 */ - blkCnt = (blockSize - 1u) % 4u; - -#else - - /* Run the below code for Cortex-M0 */ - - q7_t minVal1, out; /* Temporary variables to store the output value. */ - uint32_t blkCnt, outIndex; /* loop counter */ - - /* Initialise the index value to zero. */ - outIndex = 0u; - /* Load first input value that act as reference value for comparision */ - out = *pSrc++; - - blkCnt = (blockSize - 1u); - -#endif // #ifndef ARM_MATH_CM0_FAMILY - - while(blkCnt > 0) - { - /* Initialize minVal to the next consecutive values one by one */ - minVal1 = *pSrc++; - - /* compare for the minimum value */ - if(out > minVal1) - { - /* Update the minimum value and it's index */ - out = minVal1; - outIndex = blockSize - blkCnt; - } - - blkCnt--; - - } - - /* Store the minimum value and its index into destination pointers */ - *pResult = out; - *pIndex = outIndex; - - -} - -/** - * @} end of Min group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_power_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,143 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_power_f32.c -* -* Description: Sum of the squares of the elements of a floating-point vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @defgroup power Power - * - * Calculates the sum of the squares of the elements in the input vector. - * The underlying algorithm is used: - * - * <pre> - * Result = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + pSrc[2] * pSrc[2] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]; - * </pre> - * - * There are separate functions for floating point, Q31, Q15, and Q7 data types. - */ - -/** - * @addtogroup power - * @{ - */ - - -/** - * @brief Sum of the squares of the elements of a floating-point vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult sum of the squares value returned here - * @return none. - * - */ - - -void arm_power_f32( - float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult) -{ - float32_t sum = 0.0f; /* accumulator */ - float32_t in; /* Temporary variable to store input value */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ - /* Compute Power and then store the result in a temporary variable, sum. */ - in = *pSrc++; - sum += in * in; - in = *pSrc++; - sum += in * in; - in = *pSrc++; - sum += in * in; - in = *pSrc++; - sum += in * in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ - /* compute power and then store the result in a temporary variable, sum. */ - in = *pSrc++; - sum += in * in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Store the result to the destination */ - *pResult = sum; -} - -/** - * @} end of power group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_power_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,152 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_power_q15.c -* -* Description: Sum of the squares of the elements of a Q15 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup power - * @{ - */ - -/** - * @brief Sum of the squares of the elements of a Q15 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult sum of the squares value returned here - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 64-bit internal accumulator. - * The input is represented in 1.15 format. - * Intermediate multiplication yields a 2.30 format, and this - * result is added without saturation to a 64-bit accumulator in 34.30 format. - * With 33 guard bits in the accumulator, there is no risk of overflow, and the - * full precision of the intermediate multiplication is preserved. - * Finally, the return result is in 34.30 format. - * - */ - -void arm_power_q15( - q15_t * pSrc, - uint32_t blockSize, - q63_t * pResult) -{ - q63_t sum = 0; /* Temporary result storage */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t in32; /* Temporary variable to store input value */ - q15_t in16; /* Temporary variable to store input value */ - uint32_t blkCnt; /* loop counter */ - - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ - /* Compute Power and then store the result in a temporary variable, sum. */ - in32 = *__SIMD32(pSrc)++; - sum = __SMLALD(in32, in32, sum); - in32 = *__SIMD32(pSrc)++; - sum = __SMLALD(in32, in32, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ - /* Compute Power and then store the result in a temporary variable, sum. */ - in16 = *pSrc++; - sum = __SMLALD(in16, in16, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - -#else - - /* Run the below code for Cortex-M0 */ - - q15_t in; /* Temporary variable to store input value */ - uint32_t blkCnt; /* loop counter */ - - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ - /* Compute Power and then store the result in a temporary variable, sum. */ - in = *pSrc++; - sum += ((q31_t) in * in); - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /* Store the results in 34.30 format */ - *pResult = sum; -} - -/** - * @} end of power group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_power_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,143 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_power_q31.c -* -* Description: Sum of the squares of the elements of a Q31 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup power - * @{ - */ - -/** - * @brief Sum of the squares of the elements of a Q31 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult sum of the squares value returned here - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 64-bit internal accumulator. - * The input is represented in 1.31 format. - * Intermediate multiplication yields a 2.62 format, and this - * result is truncated to 2.48 format by discarding the lower 14 bits. - * The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. - * With 15 guard bits in the accumulator, there is no risk of overflow, and the - * full precision of the intermediate multiplication is preserved. - * Finally, the return result is in 16.48 format. - * - */ - -void arm_power_q31( - q31_t * pSrc, - uint32_t blockSize, - q63_t * pResult) -{ - q63_t sum = 0; /* Temporary result storage */ - q31_t in; - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ - /* Compute Power then shift intermediate results by 14 bits to maintain 16.48 format and then store the result in a temporary variable sum, providing 15 guard bits. */ - in = *pSrc++; - sum += ((q63_t) in * in) >> 14u; - - in = *pSrc++; - sum += ((q63_t) in * in) >> 14u; - - in = *pSrc++; - sum += ((q63_t) in * in) >> 14u; - - in = *pSrc++; - sum += ((q63_t) in * in) >> 14u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ - /* Compute Power and then store the result in a temporary variable, sum. */ - in = *pSrc++; - sum += ((q63_t) in * in) >> 14u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Store the results in 16.48 format */ - *pResult = sum; -} - -/** - * @} end of power group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_power_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,141 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_power_q7.c -* -* Description: Sum of the squares of the elements of a Q7 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup power - * @{ - */ - -/** - * @brief Sum of the squares of the elements of a Q7 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult sum of the squares value returned here - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 32-bit internal accumulator. - * The input is represented in 1.7 format. - * Intermediate multiplication yields a 2.14 format, and this - * result is added without saturation to an accumulator in 18.14 format. - * With 17 guard bits in the accumulator, there is no risk of overflow, and the - * full precision of the intermediate multiplication is preserved. - * Finally, the return result is in 18.14 format. - * - */ - -void arm_power_q7( - q7_t * pSrc, - uint32_t blockSize, - q31_t * pResult) -{ - q31_t sum = 0; /* Temporary result storage */ - q7_t in; /* Temporary variable to store input */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t input1; /* Temporary variable to store packed input */ - q31_t in1, in2; /* Temporary variables to store input */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* Reading two inputs of pSrc vector and packing */ - input1 = *__SIMD32(pSrc)++; - - in1 = __SXTB16(__ROR(input1, 8)); - in2 = __SXTB16(input1); - - /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ - /* calculate power and accumulate to accumulator */ - sum = __SMLAD(in1, in1, sum); - sum = __SMLAD(in2, in2, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ - /* Compute Power and then store the result in a temporary variable, sum. */ - in = *pSrc++; - sum += ((q15_t) in * in); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Store the result in 18.14 format */ - *pResult = sum; -} - -/** - * @} end of power group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_rms_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,141 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_rms_f32.c -* -* Description: Root mean square value of an array of F32 type -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @defgroup RMS Root mean square (RMS) - * - * - * Calculates the Root Mean Sqaure of the elements in the input vector. - * The underlying algorithm is used: - * - * <pre> - * Result = sqrt(((pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]) / blockSize)); - * </pre> - * - * There are separate functions for floating point, Q31, and Q15 data types. - */ - -/** - * @addtogroup RMS - * @{ - */ - - -/** - * @brief Root Mean Square of the elements of a floating-point vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult rms value returned here - * @return none. - * - */ - -void arm_rms_f32( - float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult) -{ - float32_t sum = 0.0f; /* Accumulator */ - float32_t in; /* Tempoprary variable to store input value */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ - /* Compute sum of the squares and then store the result in a temporary variable, sum */ - in = *pSrc++; - sum += in * in; - in = *pSrc++; - sum += in * in; - in = *pSrc++; - sum += in * in; - in = *pSrc++; - sum += in * in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ - /* Compute sum of the squares and then store the results in a temporary variable, sum */ - in = *pSrc++; - sum += in * in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Compute Rms and store the result in the destination */ - arm_sqrt_f32(sum / (float32_t) blockSize, pResult); -} - -/** - * @} end of RMS group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_rms_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,162 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_rms_q15.c -* -* Description: Root Mean Square of the elements of a Q15 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @addtogroup RMS - * @{ - */ - -/** - * @brief Root Mean Square of the elements of a Q15 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult rms value returned here - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 64-bit internal accumulator. - * The input is represented in 1.15 format. - * Intermediate multiplication yields a 2.30 format, and this - * result is added without saturation to a 64-bit accumulator in 34.30 format. - * With 33 guard bits in the accumulator, there is no risk of overflow, and the - * full precision of the intermediate multiplication is preserved. - * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower - * 15 bits, and then saturated to yield a result in 1.15 format. - * - */ - -void arm_rms_q15( - q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult) -{ - q63_t sum = 0; /* accumulator */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t in; /* temporary variable to store the input value */ - q15_t in1; /* temporary variable to store the input value */ - uint32_t blkCnt; /* loop counter */ - - /* loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute sum of the squares and then store the results in a temporary variable, sum */ - in = *__SIMD32(pSrc)++; - sum = __SMLALD(in, in, sum); - in = *__SIMD32(pSrc)++; - sum = __SMLALD(in, in, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute sum of the squares and then store the results in a temporary variable, sum */ - in1 = *pSrc++; - sum = __SMLALD(in1, in1, sum); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Truncating and saturating the accumulator to 1.15 format */ - in = (q31_t)(sum >> 15); - - in1 = __SSAT(in / blockSize, 16); - - /* Store the result in the destination */ - arm_sqrt_q15(in1, pResult); - -#else - - /* Run the below code for Cortex-M0 */ - - q15_t in; /* temporary variable to store the input value */ - q31_t tmp; /* temporary variable to store the input value */ - uint32_t blkCnt; /* loop counter */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute sum of the squares and then store the results in a temporary variable, sum */ - in = *pSrc++; - sum += ((q31_t) in * in); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Truncating and saturating the accumulator to 1.15 format */ - tmp = (q31_t)(sum >> 15); - - in = __SSAT(tmp / blockSize, 16); - - /* Store the result in the destination */ - arm_sqrt_q15(in, pResult); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of RMS group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_rms_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,154 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_rms_q31.c -* -* Description: Root Mean Square of the elements of a Q31 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @addtogroup RMS - * @{ - */ - - -/** - * @brief Root Mean Square of the elements of a Q31 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult rms value returned here - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - *\par - * The function is implemented using an internal 64-bit accumulator. - * The input is represented in 1.31 format, and intermediate multiplication - * yields a 2.62 format. - * The accumulator maintains full precision of the intermediate multiplication results, - * but provides only a single guard bit. - * There is no saturation on intermediate additions. - * If the accumulator overflows, it wraps around and distorts the result. - * In order to avoid overflows completely, the input signal must be scaled down by - * log2(blockSize) bits, as a total of blockSize additions are performed internally. - * Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value. - * - */ - -void arm_rms_q31( - q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult) -{ - q63_t sum = 0; /* accumulator */ - q31_t in; /* Temporary variable to store the input */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t in1, in2, in3, in4; /* Temporary input variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 8 outputs at a time. - ** a second loop below computes the remaining 1 to 7 samples. */ - while(blkCnt > 0u) - { - /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ - /* Compute sum of the squares and then store the result in a temporary variable, sum */ - /* read two samples from source buffer */ - in1 = pSrc[0]; - in2 = pSrc[1]; - - /* calculate power and accumulate to accumulator */ - sum += (q63_t) in1 *in1; - sum += (q63_t) in2 *in2; - - /* read two samples from source buffer */ - in3 = pSrc[2]; - in4 = pSrc[3]; - - /* calculate power and accumulate to accumulator */ - sum += (q63_t) in3 *in3; - sum += (q63_t) in4 *in4; - - - /* update source buffer to process next samples */ - pSrc += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 8, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ - /* Compute sum of the squares and then store the results in a temporary variable, sum */ - in = *pSrc++; - sum += (q63_t) in *in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Convert data in 2.62 to 1.31 by 31 right shifts and saturate */ - - sum = __SSAT(sum >> 31, 31); - - - /* Compute Rms and store the result in the destination vector */ - arm_sqrt_q31((q31_t) ((q31_t) sum / (int32_t) blockSize), pResult); -} - -/** - * @} end of RMS group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_std_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,196 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_std_f32.c -* -* Description: Standard deviation of the elements of a floating-point vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @defgroup STD Standard deviation - * - * Calculates the standard deviation of the elements in the input vector. - * The underlying algorithm is used: - * - * <pre> - * Result = sqrt((sumOfSquares - sum<sup>2</sup> / blockSize) / (blockSize - 1)) - * - * where, sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1] - * - * sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1] - * </pre> - * - * There are separate functions for floating point, Q31, and Q15 data types. - */ - -/** - * @addtogroup STD - * @{ - */ - - -/** - * @brief Standard deviation of the elements of a floating-point vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult standard deviation value returned here - * @return none. - * - */ - - -void arm_std_f32( - float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult) -{ - float32_t sum = 0.0f; /* Temporary result storage */ - float32_t sumOfSquares = 0.0f; /* Sum of squares */ - float32_t in; /* input value */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - float32_t meanOfSquares, mean, squareOfMean; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sum. */ - in = *pSrc++; - sum += in; - sumOfSquares += in * in; - in = *pSrc++; - sum += in; - sumOfSquares += in * in; - in = *pSrc++; - sum += in; - sumOfSquares += in * in; - in = *pSrc++; - sum += in; - sumOfSquares += in * in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sum. */ - in = *pSrc++; - sum += in; - sumOfSquares += in * in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Compute Mean of squares of the input samples - * and then store the result in a temporary variable, meanOfSquares. */ - meanOfSquares = sumOfSquares / ((float32_t) blockSize - 1.0f); - - /* Compute mean of all input values */ - mean = sum / (float32_t) blockSize; - - /* Compute square of mean */ - squareOfMean = (mean * mean) * (((float32_t) blockSize) / - ((float32_t) blockSize - 1.0f)); - - /* Compute standard deviation and then store the result to the destination */ - arm_sqrt_f32((meanOfSquares - squareOfMean), pResult); - -#else - - /* Run the below code for Cortex-M0 */ - - float32_t squareOfSum; /* Square of Sum */ - float32_t var; /* Temporary varaince storage */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sumOfSquares. */ - in = *pSrc++; - sumOfSquares += in * in; - - /* C = (A[0] + A[1] + ... + A[blockSize-1]) */ - /* Compute Sum of the input samples - * and then store the result in a temporary variable, sum. */ - sum += in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Compute the square of sum */ - squareOfSum = ((sum * sum) / (float32_t) blockSize); - - /* Compute the variance */ - var = ((sumOfSquares - squareOfSum) / (float32_t) (blockSize - 1.0f)); - - /* Compute standard deviation and then store the result to the destination */ - arm_sqrt_f32(var, pResult); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of STD group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_std_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,205 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_std_q15.c -* -* Description: Standard deviation of an array of Q15 type. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup STD - * @{ - */ - -/** - * @brief Standard deviation of the elements of a Q15 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult standard deviation value returned here - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 64-bit internal accumulator. - * The input is represented in 1.15 format. - * Intermediate multiplication yields a 2.30 format, and this - * result is added without saturation to a 64-bit accumulator in 34.30 format. - * With 33 guard bits in the accumulator, there is no risk of overflow, and the - * full precision of the intermediate multiplication is preserved. - * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower - * 15 bits, and then saturated to yield a result in 1.15 format. - */ - -void arm_std_q15( - q15_t * pSrc, - uint32_t blockSize, - q15_t * pResult) -{ - q31_t sum = 0; /* Accumulator */ - q31_t meanOfSquares, squareOfMean; /* square of mean and mean of square */ - q15_t mean; /* mean */ - uint32_t blkCnt; /* loop counter */ - q15_t t; /* Temporary variable */ - q63_t sumOfSquares = 0; /* Accumulator */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t in; /* input value */ - q15_t in1; /* input value */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sum. */ - in = *__SIMD32(pSrc)++; - sum += ((in << 16) >> 16); - sum += (in >> 16); - sumOfSquares = __SMLALD(in, in, sumOfSquares); - in = *__SIMD32(pSrc)++; - sum += ((in << 16) >> 16); - sum += (in >> 16); - sumOfSquares = __SMLALD(in, in, sumOfSquares); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sum. */ - in1 = *pSrc++; - sumOfSquares = __SMLALD(in1, in1, sumOfSquares); - sum += in1; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Compute Mean of squares of the input samples - * and then store the result in a temporary variable, meanOfSquares. */ - t = (q15_t) ((1.0 / (blockSize - 1)) * 16384LL); - sumOfSquares = __SSAT((sumOfSquares >> 15u), 16u); - - meanOfSquares = (q31_t) ((sumOfSquares * t) >> 14u); - - /* Compute mean of all input values */ - t = (q15_t) ((1.0 / (blockSize * (blockSize - 1))) * 32768LL); - mean = (q15_t) __SSAT(sum, 16u); - - /* Compute square of mean */ - squareOfMean = ((q31_t) mean * mean) >> 15; - squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 15); - - /* mean of the squares minus the square of the mean. */ - in1 = (q15_t) (meanOfSquares - squareOfMean); - - /* Compute standard deviation and store the result to the destination */ - arm_sqrt_q15(in1, pResult); - -#else - - /* Run the below code for Cortex-M0 */ - q15_t in; /* input value */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sumOfSquares. */ - in = *pSrc++; - sumOfSquares += (in * in); - - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ - /* Compute sum of all input values and then store the result in a temporary variable, sum. */ - sum += in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Compute Mean of squares of the input samples - * and then store the result in a temporary variable, meanOfSquares. */ - t = (q15_t) ((1.0 / (blockSize - 1)) * 16384LL); - sumOfSquares = __SSAT((sumOfSquares >> 15u), 16u); - meanOfSquares = (q31_t) ((sumOfSquares * t) >> 14u); - - /* Compute mean of all input values */ - mean = (q15_t) __SSAT(sum, 16u); - - /* Compute square of mean of the input samples - * and then store the result in a temporary variable, squareOfMean.*/ - t = (q15_t) ((1.0 / (blockSize * (blockSize - 1))) * 32768LL); - squareOfMean = ((q31_t) mean * mean) >> 15; - squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 15); - - /* mean of the squares minus the square of the mean. */ - in = (q15_t) (meanOfSquares - squareOfMean); - - /* Compute standard deviation and store the result to the destination */ - arm_sqrt_q15(in, pResult); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - -} - -/** - * @} end of STD group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_std_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,192 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_std_q31.c -* -* Description: Standard deviation of an array of Q31 type. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup STD - * @{ - */ - - -/** - * @brief Standard deviation of the elements of a Q31 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult standard deviation value returned here - * @return none. - * @details - * <b>Scaling and Overflow Behavior:</b> - * - *\par - * The function is implemented using an internal 64-bit accumulator. - * The input is represented in 1.31 format, and intermediate multiplication - * yields a 2.62 format. - * The accumulator maintains full precision of the intermediate multiplication results, - * but provides only a single guard bit. - * There is no saturation on intermediate additions. - * If the accumulator overflows it wraps around and distorts the result. - * In order to avoid overflows completely the input signal must be scaled down by - * log2(blockSize) bits, as a total of blockSize additions are performed internally. - * Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value. - * - */ - - -void arm_std_q31( - q31_t * pSrc, - uint32_t blockSize, - q31_t * pResult) -{ - q63_t sum = 0; /* Accumulator */ - q31_t meanOfSquares, squareOfMean; /* square of mean and mean of square */ - q31_t mean; /* mean */ - q31_t in; /* input value */ - q31_t t; /* Temporary variable */ - uint32_t blkCnt; /* loop counter */ - q63_t sumOfSquares = 0; /* Accumulator */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sum. */ - in = *pSrc++; - sum += in; - sumOfSquares += ((q63_t) (in) * (in)); - in = *pSrc++; - sum += in; - sumOfSquares += ((q63_t) (in) * (in)); - in = *pSrc++; - sum += in; - sumOfSquares += ((q63_t) (in) * (in)); - in = *pSrc++; - sum += in; - sumOfSquares += ((q63_t) (in) * (in)); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sum. */ - in = *pSrc++; - sum += in; - sumOfSquares += ((q63_t) (in) * (in)); - - /* Decrement the loop counter */ - blkCnt--; - } - - t = (q31_t) ((1.0f / (float32_t) (blockSize - 1u)) * 1073741824.0f); - - /* Compute Mean of squares of the input samples - * and then store the result in a temporary variable, meanOfSquares. */ - sumOfSquares = (sumOfSquares >> 31); - meanOfSquares = (q31_t) ((sumOfSquares * t) >> 30); - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sumOfSquares. */ - in = *pSrc++; - sumOfSquares += ((q63_t) (in) * (in)); - - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ - /* Compute sum of all input values and then store the result in a temporary variable, sum. */ - sum += in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Compute Mean of squares of the input samples - * and then store the result in a temporary variable, meanOfSquares. */ - t = (q31_t) ((1.0f / (float32_t) (blockSize - 1u)) * 1073741824.0f); - sumOfSquares = (sumOfSquares >> 31); - meanOfSquares = (q31_t) ((sumOfSquares * t) >> 30); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /* Compute mean of all input values */ - t = (q31_t) ((1.0f / (blockSize * (blockSize - 1u))) * 2147483648.0f); - mean = (q31_t) (sum); - - /* Compute square of mean */ - squareOfMean = (q31_t) (((q63_t) mean * mean) >> 31); - squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 31); - - - /* Compute standard deviation and then store the result to the destination */ - arm_sqrt_q31(meanOfSquares - squareOfMean, pResult); - -} - -/** - * @} end of STD group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_var_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,192 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_var_f32.c -* -* Description: Variance of the elements of a floating-point vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @defgroup variance Variance - * - * Calculates the variance of the elements in the input vector. - * The underlying algorithm is used: - * - * <pre> - * Result = (sumOfSquares - sum<sup>2</sup> / blockSize) / (blockSize - 1) - * - * where, sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1] - * - * sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1] - * </pre> - * - * There are separate functions for floating point, Q31, and Q15 data types. - */ - -/** - * @addtogroup variance - * @{ - */ - - -/** - * @brief Variance of the elements of a floating-point vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult variance value returned here - * @return none. - * - */ - - -void arm_var_f32( - float32_t * pSrc, - uint32_t blockSize, - float32_t * pResult) -{ - - float32_t sum = 0.0f; /* Temporary result storage */ - float32_t sumOfSquares = 0.0f; /* Sum of squares */ - float32_t in; /* input value */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - float32_t meanOfSquares, mean, squareOfMean; /* Temporary variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sum. */ - in = *pSrc++; - sum += in; - sumOfSquares += in * in; - in = *pSrc++; - sum += in; - sumOfSquares += in * in; - in = *pSrc++; - sum += in; - sumOfSquares += in * in; - in = *pSrc++; - sum += in; - sumOfSquares += in * in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sum. */ - in = *pSrc++; - sum += in; - sumOfSquares += in * in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Compute Mean of squares of the input samples - * and then store the result in a temporary variable, meanOfSquares. */ - meanOfSquares = sumOfSquares / ((float32_t) blockSize - 1.0f); - - /* Compute mean of all input values */ - mean = sum / (float32_t) blockSize; - - /* Compute square of mean */ - squareOfMean = (mean * mean) * (((float32_t) blockSize) / - ((float32_t) blockSize - 1.0f)); - - /* Compute variance and then store the result to the destination */ - *pResult = meanOfSquares - squareOfMean; - -#else - - /* Run the below code for Cortex-M0 */ - float32_t squareOfSum; /* Square of Sum */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sumOfSquares. */ - in = *pSrc++; - sumOfSquares += in * in; - - /* C = (A[0] + A[1] + ... + A[blockSize-1]) */ - /* Compute Sum of the input samples - * and then store the result in a temporary variable, sum. */ - sum += in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Compute the square of sum */ - squareOfSum = ((sum * sum) / (float32_t) blockSize); - - /* Compute the variance */ - *pResult = ((sumOfSquares - squareOfSum) / (float32_t) (blockSize - 1.0f)); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of variance group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_var_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,188 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_var_q15.c -* -* Description: Variance of an array of Q15 type. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup variance - * @{ - */ - -/** - * @brief Variance of the elements of a Q15 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult variance value returned here - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - * \par - * The function is implemented using a 64-bit internal accumulator. - * The input is represented in 1.15 format. - * Intermediate multiplication yields a 2.30 format, and this - * result is added without saturation to a 64-bit accumulator in 34.30 format. - * With 33 guard bits in the accumulator, there is no risk of overflow, and the - * full precision of the intermediate multiplication is preserved. - * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower - * 15 bits, and then saturated to yield a result in 1.15 format. - * - */ - - -void arm_var_q15( - q15_t * pSrc, - uint32_t blockSize, - q31_t * pResult) -{ - q31_t sum = 0; /* Accumulator */ - q31_t meanOfSquares, squareOfMean; /* Mean of square and square of mean */ - q15_t mean; /* mean */ - uint32_t blkCnt; /* loop counter */ - q15_t t; /* Temporary variable */ - q63_t sumOfSquares = 0; /* Accumulator */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t in; /* Input variable */ - q15_t in1; /* Temporary variable */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sum. */ - in = *__SIMD32(pSrc)++; - sum += ((in << 16) >> 16); - sum += (in >> 16); - sumOfSquares = __SMLALD(in, in, sumOfSquares); - in = *__SIMD32(pSrc)++; - sum += ((in << 16) >> 16); - sum += (in >> 16); - sumOfSquares = __SMLALD(in, in, sumOfSquares); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sum. */ - in1 = *pSrc++; - sum += in1; - sumOfSquares = __SMLALD(in1, in1, sumOfSquares); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Compute Mean of squares of the input samples - * and then store the result in a temporary variable, meanOfSquares. */ - t = (q15_t) ((1.0f / (float32_t) (blockSize - 1u)) * 16384); - sumOfSquares = __SSAT((sumOfSquares >> 15u), 16u); - - meanOfSquares = (q31_t) ((sumOfSquares * t) >> 14u); - -#else - - /* Run the below code for Cortex-M0 */ - - q15_t in; /* Temporary variable */ - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sumOfSquares. */ - in = *pSrc++; - sumOfSquares += (in * in); - - /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ - /* Compute sum of all input values and then store the result in a temporary variable, sum. */ - sum += in; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* Compute Mean of squares of the input samples - * and then store the result in a temporary variable, meanOfSquares. */ - t = (q15_t) ((1.0f / (float32_t) (blockSize - 1u)) * 16384); - sumOfSquares = __SSAT((sumOfSquares >> 15u), 16u); - meanOfSquares = (q31_t) ((sumOfSquares * t) >> 14u); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - /* Compute mean of all input values */ - t = (q15_t) ((1.0f / (float32_t) (blockSize * (blockSize - 1u))) * 32768); - mean = __SSAT(sum, 16u); - - /* Compute square of mean */ - squareOfMean = ((q31_t) mean * mean) >> 15; - squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 15); - - /* Compute variance and then store the result to the destination */ - *pResult = (meanOfSquares - squareOfMean); - -} - -/** - * @} end of variance group - */
--- a/cmsis_dsp/StatisticsFunctions/arm_var_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,178 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_var_q31.c -* -* Description: Variance of an array of Q31 type. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupStats - */ - -/** - * @addtogroup variance - * @{ - */ - -/** - * @brief Variance of the elements of a Q31 vector. - * @param[in] *pSrc points to the input vector - * @param[in] blockSize length of the input vector - * @param[out] *pResult variance value returned here - * @return none. - * - * @details - * <b>Scaling and Overflow Behavior:</b> - * - *\par - * The function is implemented using an internal 64-bit accumulator. - * The input is represented in 1.31 format, and intermediate multiplication - * yields a 2.62 format. - * The accumulator maintains full precision of the intermediate multiplication results, - * but provides only a single guard bit. - * There is no saturation on intermediate additions. - * If the accumulator overflows it wraps around and distorts the result. - * In order to avoid overflows completely the input signal must be scaled down by - * log2(blockSize) bits, as a total of blockSize additions are performed internally. - * Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value. - * - */ - - -void arm_var_q31( - q31_t * pSrc, - uint32_t blockSize, - q63_t * pResult) -{ - q63_t sum = 0, sumSquare = 0; /* Accumulator */ - q31_t meanOfSquares, squareOfMean; /* square of mean and mean of square */ - q31_t mean; /* mean */ - q31_t in; /* input value */ - q31_t t; /* Temporary variable */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q63_t sumSquare1 = 0; /* Accumulator */ - q31_t in1, in2, in3, in4; /* Temporary input variables */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sum. */ - /* read input samples from source buffer */ - in1 = pSrc[0]; - in2 = pSrc[1]; - - /* calculate sum of inputs */ - sum += in1; - /* calculate sum of squares */ - sumSquare += ((q63_t) (in1) * (in1)); - in3 = pSrc[2]; - sum += in2; - sumSquare1 += ((q63_t) (in2) * (in2)); - in4 = pSrc[3]; - sum += in3; - sumSquare += ((q63_t) (in3) * (in3)); - sum += in4; - sumSquare1 += ((q63_t) (in4) * (in4)); - - /* update input pointer to process next samples */ - pSrc += 4u; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* add two accumulators */ - sumSquare = sumSquare + sumSquare1; - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ - /* Compute Sum of squares of the input samples - * and then store the result in a temporary variable, sum. */ - in = *pSrc++; - sumSquare += ((q63_t) (in) * (in)); - sum += in; - - /* Decrement the loop counter */ - blkCnt--; - } - - t = (q31_t) ((1.0f / (float32_t) (blockSize - 1u)) * 1073741824.0f); - - /* Compute Mean of squares of the input samples - * and then store the result in a temporary variable, meanOfSquares. */ - sumSquare = (sumSquare >> 31); - meanOfSquares = (q31_t) ((sumSquare * t) >> 30); - - /* Compute mean of all input values */ - t = (q31_t) ((1.0f / (blockSize * (blockSize - 1u))) * 2147483648.0f); - mean = (q31_t) (sum); - - /* Compute square of mean */ - squareOfMean = (q31_t) (((q63_t) mean * mean) >> 31); - squareOfMean = (q31_t) (((q63_t) squareOfMean * t) >> 31); - - /* Compute variance and then store the result to the destination */ - *pResult = (q63_t) meanOfSquares - squareOfMean; - -} - -/** - * @} end of variance group - */
--- a/cmsis_dsp/SupportFunctions/arm_copy_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,135 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_copy_f32.c -* -* Description: Copies the elements of a floating-point vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @defgroup copy Vector Copy - * - * Copies sample by sample from source vector to destination vector. - * - * <pre> - * pDst[n] = pSrc[n]; 0 <= n < blockSize. - * </pre> - * - * There are separate functions for floating point, Q31, Q15, and Q7 data types. - */ - -/** - * @addtogroup copy - * @{ - */ - -/** - * @brief Copies the elements of a floating-point vector. - * @param[in] *pSrc points to input vector - * @param[out] *pDst points to output vector - * @param[in] blockSize length of the input vector - * @return none. - * - */ - - -void arm_copy_f32( - float32_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1, in2, in3, in4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A */ - /* Copy and then store the results in the destination buffer */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - *pDst++ = in1; - *pDst++ = in2; - *pDst++ = in3; - *pDst++ = in4; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A */ - /* Copy and then store the results in the destination buffer */ - *pDst++ = *pSrc++; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicCopy group - */
--- a/cmsis_dsp/SupportFunctions/arm_copy_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,114 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_copy_q15.c -* -* Description: Copies the elements of a Q15 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup copy - * @{ - */ -/** - * @brief Copies the elements of a Q15 vector. - * @param[in] *pSrc points to input vector - * @param[out] *pDst points to output vector - * @param[in] blockSize length of the input vector - * @return none. - * - */ - -void arm_copy_q15( - q15_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A */ - /* Read two inputs */ - *__SIMD32(pDst)++ = *__SIMD32(pSrc)++; - *__SIMD32(pDst)++ = *__SIMD32(pSrc)++; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A */ - /* Copy and then store the value in the destination buffer */ - *pDst++ = *pSrc++; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicCopy group - */
--- a/cmsis_dsp/SupportFunctions/arm_copy_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,123 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_copy_q31.c -* -* Description: Copies the elements of a Q31 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup copy - * @{ - */ - -/** - * @brief Copies the elements of a Q31 vector. - * @param[in] *pSrc points to input vector - * @param[out] *pDst points to output vector - * @param[in] blockSize length of the input vector - * @return none. - * - */ - -void arm_copy_q31( - q31_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A */ - /* Copy and then store the values in the destination buffer */ - in1 = *pSrc++; - in2 = *pSrc++; - in3 = *pSrc++; - in4 = *pSrc++; - - *pDst++ = in1; - *pDst++ = in2; - *pDst++ = in3; - *pDst++ = in4; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = A */ - /* Copy and then store the value in the destination buffer */ - *pDst++ = *pSrc++; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicCopy group - */
--- a/cmsis_dsp/SupportFunctions/arm_copy_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,115 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_copy_q7.c -* -* Description: Copies the elements of a Q7 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup copy - * @{ - */ - -/** - * @brief Copies the elements of a Q7 vector. - * @param[in] *pSrc points to input vector - * @param[out] *pDst points to output vector - * @param[in] blockSize length of the input vector - * @return none. - * - */ - -void arm_copy_q7( - q7_t * pSrc, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = A */ - /* Copy and then store the results in the destination buffer */ - /* 4 samples are copied and stored at a time using SIMD */ - *__SIMD32(pDst)++ = *__SIMD32(pSrc)++; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = A */ - /* Copy and then store the results in the destination buffer */ - *pDst++ = *pSrc++; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of BasicCopy group - */
--- a/cmsis_dsp/SupportFunctions/arm_fill_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,134 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fill_f32.c -* -* Description: Fills a constant value into a floating-point vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @defgroup Fill Vector Fill - * - * Fills the destination vector with a constant value. - * - * <pre> - * pDst[n] = value; 0 <= n < blockSize. - * </pre> - * - * There are separate functions for floating point, Q31, Q15, and Q7 data types. - */ - -/** - * @addtogroup Fill - * @{ - */ - -/** - * @brief Fills a constant value into a floating-point vector. - * @param[in] value input value to be filled - * @param[out] *pDst points to output vector - * @param[in] blockSize length of the output vector - * @return none. - * - */ - - -void arm_fill_f32( - float32_t value, - float32_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - float32_t in1 = value; - float32_t in2 = value; - float32_t in3 = value; - float32_t in4 = value; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = value */ - /* Fill the value in the destination buffer */ - *pDst++ = in1; - *pDst++ = in2; - *pDst++ = in3; - *pDst++ = in4; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - - while(blkCnt > 0u) - { - /* C = value */ - /* Fill the value in the destination buffer */ - *pDst++ = value; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of Fill group - */
--- a/cmsis_dsp/SupportFunctions/arm_fill_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,120 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fill_q15.c -* -* Description: Fills a constant value into a Q15 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup Fill - * @{ - */ - -/** - * @brief Fills a constant value into a Q15 vector. - * @param[in] value input value to be filled - * @param[out] *pDst points to output vector - * @param[in] blockSize length of the output vector - * @return none. - * - */ - -void arm_fill_q15( - q15_t value, - q15_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t packedValue; /* value packed to 32 bits */ - - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Packing two 16 bit values to 32 bit value in order to use SIMD */ - packedValue = __PKHBT(value, value, 16u); - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = value */ - /* Fill the value in the destination buffer */ - *__SIMD32(pDst)++ = packedValue; - *__SIMD32(pDst)++ = packedValue; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = value */ - /* Fill the value in the destination buffer */ - *pDst++ = value; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of Fill group - */
--- a/cmsis_dsp/SupportFunctions/arm_fill_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,121 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fill_q31.c -* -* Description: Fills a constant value into a Q31 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup Fill - * @{ - */ - -/** - * @brief Fills a constant value into a Q31 vector. - * @param[in] value input value to be filled - * @param[out] *pDst points to output vector - * @param[in] blockSize length of the output vector - * @return none. - * - */ - -void arm_fill_q31( - q31_t value, - q31_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1 = value; - q31_t in2 = value; - q31_t in3 = value; - q31_t in4 = value; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = value */ - /* Fill the value in the destination buffer */ - *pDst++ = in1; - *pDst++ = in2; - *pDst++ = in3; - *pDst++ = in4; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = value */ - /* Fill the value in the destination buffer */ - *pDst++ = value; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of Fill group - */
--- a/cmsis_dsp/SupportFunctions/arm_fill_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,118 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_fill_q7.c -* -* Description: Fills a constant value into a Q7 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup Fill - * @{ - */ - -/** - * @brief Fills a constant value into a Q7 vector. - * @param[in] value input value to be filled - * @param[out] *pDst points to output vector - * @param[in] blockSize length of the output vector - * @return none. - * - */ - -void arm_fill_q7( - q7_t value, - q7_t * pDst, - uint32_t blockSize) -{ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t packedValue; /* value packed to 32 bits */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* Packing four 8 bit values to 32 bit value in order to use SIMD */ - packedValue = __PACKq7(value, value, value, value); - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = value */ - /* Fill the value in the destination buffer */ - *__SIMD32(pDst)++ = packedValue; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = value */ - /* Fill the value in the destination buffer */ - *pDst++ = value; - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of Fill group - */
--- a/cmsis_dsp/SupportFunctions/arm_float_to_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,204 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_float_to_q15.c -* -* Description: Converts the elements of the floating-point vector to Q15 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup float_to_x - * @{ - */ - -/** - * @brief Converts the elements of the floating-point vector to Q15 vector. - * @param[in] *pSrc points to the floating-point input vector - * @param[out] *pDst points to the Q15 output vector - * @param[in] blockSize length of the input vector - * @return none. - * - * \par Description: - * \par - * The equation used for the conversion process is: - * <pre> - * pDst[n] = (q15_t)(pSrc[n] * 32768); 0 <= n < blockSize. - * </pre> - * \par Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. - * \note - * In order to apply rounding, the library should be rebuilt with the ROUNDING macro - * defined in the preprocessor section of project options. - * - */ - - -void arm_float_to_q15( - float32_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - float32_t *pIn = pSrc; /* Src pointer */ - uint32_t blkCnt; /* loop counter */ - -#ifdef ARM_MATH_ROUNDING - - float32_t in; - -#endif /* #ifdef ARM_MATH_ROUNDING */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - -#ifdef ARM_MATH_ROUNDING - /* C = A * 32768 */ - /* convert from float to q15 and then store the results in the destination buffer */ - in = *pIn++; - in = (in * 32768.0f); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); - - in = *pIn++; - in = (in * 32768.0f); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); - - in = *pIn++; - in = (in * 32768.0f); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); - - in = *pIn++; - in = (in * 32768.0f); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); - -#else - - /* C = A * 32768 */ - /* convert from float to q15 and then store the results in the destination buffer */ - *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); - *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); - *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); - *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); - -#endif /* #ifdef ARM_MATH_ROUNDING */ - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - -#ifdef ARM_MATH_ROUNDING - /* C = A * 32768 */ - /* convert from float to q15 and then store the results in the destination buffer */ - in = *pIn++; - in = (in * 32768.0f); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); - -#else - - /* C = A * 32768 */ - /* convert from float to q15 and then store the results in the destination buffer */ - *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); - -#endif /* #ifdef ARM_MATH_ROUNDING */ - - /* Decrement the loop counter */ - blkCnt--; - } - - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - -#ifdef ARM_MATH_ROUNDING - /* C = A * 32768 */ - /* convert from float to q15 and then store the results in the destination buffer */ - in = *pIn++; - in = (in * 32768.0f); - in += in > 0 ? 0.5f : -0.5f; - *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); - -#else - - /* C = A * 32768 */ - /* convert from float to q15 and then store the results in the destination buffer */ - *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); - -#endif /* #ifdef ARM_MATH_ROUNDING */ - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of float_to_x group - */
--- a/cmsis_dsp/SupportFunctions/arm_float_to_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,211 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_float_to_q31.c -* -* Description: Converts the elements of the floating-point vector to Q31 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @defgroup float_to_x Convert 32-bit floating point value - */ - -/** - * @addtogroup float_to_x - * @{ - */ - -/** - * @brief Converts the elements of the floating-point vector to Q31 vector. - * @param[in] *pSrc points to the floating-point input vector - * @param[out] *pDst points to the Q31 output vector - * @param[in] blockSize length of the input vector - * @return none. - * - *\par Description: - * \par - * The equation used for the conversion process is: - * - * <pre> - * pDst[n] = (q31_t)(pSrc[n] * 2147483648); 0 <= n < blockSize. - * </pre> - * <b>Scaling and Overflow Behavior:</b> - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. - * - * \note In order to apply rounding, the library should be rebuilt with the ROUNDING macro - * defined in the preprocessor section of project options. - */ - - -void arm_float_to_q31( - float32_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - float32_t *pIn = pSrc; /* Src pointer */ - uint32_t blkCnt; /* loop counter */ - -#ifdef ARM_MATH_ROUNDING - - float32_t in; - -#endif /* #ifdef ARM_MATH_ROUNDING */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - -#ifdef ARM_MATH_ROUNDING - - /* C = A * 32768 */ - /* convert from float to Q31 and then store the results in the destination buffer */ - in = *pIn++; - in = (in * 2147483648.0f); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = clip_q63_to_q31((q63_t) (in)); - - in = *pIn++; - in = (in * 2147483648.0f); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = clip_q63_to_q31((q63_t) (in)); - - in = *pIn++; - in = (in * 2147483648.0f); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = clip_q63_to_q31((q63_t) (in)); - - in = *pIn++; - in = (in * 2147483648.0f); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = clip_q63_to_q31((q63_t) (in)); - -#else - - /* C = A * 2147483648 */ - /* convert from float to Q31 and then store the results in the destination buffer */ - *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); - *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); - *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); - *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); - -#endif /* #ifdef ARM_MATH_ROUNDING */ - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - -#ifdef ARM_MATH_ROUNDING - - /* C = A * 2147483648 */ - /* convert from float to Q31 and then store the results in the destination buffer */ - in = *pIn++; - in = (in * 2147483648.0f); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = clip_q63_to_q31((q63_t) (in)); - -#else - - /* C = A * 2147483648 */ - /* convert from float to Q31 and then store the results in the destination buffer */ - *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); - -#endif /* #ifdef ARM_MATH_ROUNDING */ - - /* Decrement the loop counter */ - blkCnt--; - } - - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { - -#ifdef ARM_MATH_ROUNDING - - /* C = A * 2147483648 */ - /* convert from float to Q31 and then store the results in the destination buffer */ - in = *pIn++; - in = (in * 2147483648.0f); - in += in > 0 ? 0.5f : -0.5f; - *pDst++ = clip_q63_to_q31((q63_t) (in)); - -#else - - /* C = A * 2147483648 */ - /* convert from float to Q31 and then store the results in the destination buffer */ - *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); - -#endif /* #ifdef ARM_MATH_ROUNDING */ - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of float_to_x group - */
--- a/cmsis_dsp/SupportFunctions/arm_float_to_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,203 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_float_to_q7.c -* -* Description: Converts the elements of the floating-point vector to Q7 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup float_to_x - * @{ - */ - -/** - * @brief Converts the elements of the floating-point vector to Q7 vector. - * @param[in] *pSrc points to the floating-point input vector - * @param[out] *pDst points to the Q7 output vector - * @param[in] blockSize length of the input vector - * @return none. - * - *\par Description: - * \par - * The equation used for the conversion process is: - * <pre> - * pDst[n] = (q7_t)(pSrc[n] * 128); 0 <= n < blockSize. - * </pre> - * \par Scaling and Overflow Behavior: - * \par - * The function uses saturating arithmetic. - * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. - * \note - * In order to apply rounding, the library should be rebuilt with the ROUNDING macro - * defined in the preprocessor section of project options. - */ - - -void arm_float_to_q7( - float32_t * pSrc, - q7_t * pDst, - uint32_t blockSize) -{ - float32_t *pIn = pSrc; /* Src pointer */ - uint32_t blkCnt; /* loop counter */ - -#ifdef ARM_MATH_ROUNDING - - float32_t in; - -#endif /* #ifdef ARM_MATH_ROUNDING */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - -#ifdef ARM_MATH_ROUNDING - /* C = A * 128 */ - /* convert from float to q7 and then store the results in the destination buffer */ - in = *pIn++; - in = (in * 128); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); - - in = *pIn++; - in = (in * 128); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); - - in = *pIn++; - in = (in * 128); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); - - in = *pIn++; - in = (in * 128); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); - -#else - - /* C = A * 128 */ - /* convert from float to q7 and then store the results in the destination buffer */ - *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); - *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); - *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); - *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); - -#endif /* #ifdef ARM_MATH_ROUNDING */ - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - - while(blkCnt > 0u) - { - -#ifdef ARM_MATH_ROUNDING - /* C = A * 128 */ - /* convert from float to q7 and then store the results in the destination buffer */ - in = *pIn++; - in = (in * 128); - in += in > 0 ? 0.5 : -0.5; - *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); - -#else - - /* C = A * 128 */ - /* convert from float to q7 and then store the results in the destination buffer */ - *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); - -#endif /* #ifdef ARM_MATH_ROUNDING */ - - /* Decrement the loop counter */ - blkCnt--; - } - - -#else - - /* Run the below code for Cortex-M0 */ - - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - - while(blkCnt > 0u) - { -#ifdef ARM_MATH_ROUNDING - /* C = A * 128 */ - /* convert from float to q7 and then store the results in the destination buffer */ - in = *pIn++; - in = (in * 128.0f); - in += in > 0 ? 0.5f : -0.5f; - *pDst++ = (q7_t) (__SSAT((q31_t) (in), 8)); - -#else - - /* C = A * 128 */ - /* convert from float to q7 and then store the results in the destination buffer */ - *pDst++ = (q7_t) __SSAT((q31_t) (*pIn++ * 128.0f), 8); - -#endif /* #ifdef ARM_MATH_ROUNDING */ - - /* Decrement the loop counter */ - blkCnt--; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of float_to_x group - */
--- a/cmsis_dsp/SupportFunctions/arm_q15_to_float.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,134 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_q15_to_float.c -* -* Description: Converts the elements of the Q15 vector to floating-point vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @defgroup q15_to_x Convert 16-bit Integer value - */ - -/** - * @addtogroup q15_to_x - * @{ - */ - - - - -/** - * @brief Converts the elements of the Q15 vector to floating-point vector. - * @param[in] *pSrc points to the Q15 input vector - * @param[out] *pDst points to the floating-point output vector - * @param[in] blockSize length of the input vector - * @return none. - * - * \par Description: - * - * The equation used for the conversion process is: - * - * <pre> - * pDst[n] = (float32_t) pSrc[n] / 32768; 0 <= n < blockSize. - * </pre> - * - */ - - -void arm_q15_to_float( - q15_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - q15_t *pIn = pSrc; /* Src pointer */ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (float32_t) A / 32768 */ - /* convert from q15 to float and then store the results in the destination buffer */ - *pDst++ = ((float32_t) * pIn++ / 32768.0f); - *pDst++ = ((float32_t) * pIn++ / 32768.0f); - *pDst++ = ((float32_t) * pIn++ / 32768.0f); - *pDst++ = ((float32_t) * pIn++ / 32768.0f); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (float32_t) A / 32768 */ - /* convert from q15 to float and then store the results in the destination buffer */ - *pDst++ = ((float32_t) * pIn++ / 32768.0f); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of q15_to_x group - */
--- a/cmsis_dsp/SupportFunctions/arm_q15_to_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,156 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_q15_to_q31.c -* -* Description: Converts the elements of the Q15 vector to Q31 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup q15_to_x - * @{ - */ - -/** - * @brief Converts the elements of the Q15 vector to Q31 vector. - * @param[in] *pSrc points to the Q15 input vector - * @param[out] *pDst points to the Q31 output vector - * @param[in] blockSize length of the input vector - * @return none. - * - * \par Description: - * - * The equation used for the conversion process is: - * - * <pre> - * pDst[n] = (q31_t) pSrc[n] << 16; 0 <= n < blockSize. - * </pre> - * - */ - - -void arm_q15_to_q31( - q15_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q15_t *pIn = pSrc; /* Src pointer */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2; - q31_t out1, out2, out3, out4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (q31_t)A << 16 */ - /* convert from q15 to q31 and then store the results in the destination buffer */ - in1 = *__SIMD32(pIn)++; - in2 = *__SIMD32(pIn)++; - -#ifndef ARM_MATH_BIG_ENDIAN - - /* extract lower 16 bits to 32 bit result */ - out1 = in1 << 16u; - /* extract upper 16 bits to 32 bit result */ - out2 = in1 & 0xFFFF0000; - /* extract lower 16 bits to 32 bit result */ - out3 = in2 << 16u; - /* extract upper 16 bits to 32 bit result */ - out4 = in2 & 0xFFFF0000; - -#else - - /* extract upper 16 bits to 32 bit result */ - out1 = in1 & 0xFFFF0000; - /* extract lower 16 bits to 32 bit result */ - out2 = in1 << 16u; - /* extract upper 16 bits to 32 bit result */ - out3 = in2 & 0xFFFF0000; - /* extract lower 16 bits to 32 bit result */ - out4 = in2 << 16u; - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - *pDst++ = out1; - *pDst++ = out2; - *pDst++ = out3; - *pDst++ = out4; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (q31_t)A << 16 */ - /* convert from q15 to q31 and then store the results in the destination buffer */ - *pDst++ = (q31_t) * pIn++ << 16; - - /* Decrement the loop counter */ - blkCnt--; - } - -} - -/** - * @} end of q15_to_x group - */
--- a/cmsis_dsp/SupportFunctions/arm_q15_to_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,154 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_q15_to_q7.c -* -* Description: Converts the elements of the Q15 vector to Q7 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup q15_to_x - * @{ - */ - - -/** - * @brief Converts the elements of the Q15 vector to Q7 vector. - * @param[in] *pSrc points to the Q15 input vector - * @param[out] *pDst points to the Q7 output vector - * @param[in] blockSize length of the input vector - * @return none. - * - * \par Description: - * - * The equation used for the conversion process is: - * - * <pre> - * pDst[n] = (q7_t) pSrc[n] >> 8; 0 <= n < blockSize. - * </pre> - * - */ - - -void arm_q15_to_q7( - q15_t * pSrc, - q7_t * pDst, - uint32_t blockSize) -{ - q15_t *pIn = pSrc; /* Src pointer */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2; - q31_t out1, out2; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (q7_t) A >> 8 */ - /* convert from q15 to q7 and then store the results in the destination buffer */ - in1 = *__SIMD32(pIn)++; - in2 = *__SIMD32(pIn)++; - -#ifndef ARM_MATH_BIG_ENDIAN - - out1 = __PKHTB(in2, in1, 16); - out2 = __PKHBT(in2, in1, 16); - -#else - - out1 = __PKHTB(in1, in2, 16); - out2 = __PKHBT(in1, in2, 16); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - /* rotate packed value by 24 */ - out2 = ((uint32_t) out2 << 8) | ((uint32_t) out2 >> 24); - - /* anding with 0xff00ff00 to get two 8 bit values */ - out1 = out1 & 0xFF00FF00; - /* anding with 0x00ff00ff to get two 8 bit values */ - out2 = out2 & 0x00FF00FF; - - /* oring two values(contains two 8 bit values) to get four packed 8 bit values */ - out1 = out1 | out2; - - /* store 4 samples at a time to destiantion buffer */ - *__SIMD32(pDst)++ = out1; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (q7_t) A >> 8 */ - /* convert from q15 to q7 and then store the results in the destination buffer */ - *pDst++ = (q7_t) (*pIn++ >> 8); - - /* Decrement the loop counter */ - blkCnt--; - } - -} - -/** - * @} end of q15_to_x group - */
--- a/cmsis_dsp/SupportFunctions/arm_q31_to_float.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,131 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_q31_to_float.c -* -* Description: Converts the elements of the Q31 vector to floating-point vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @defgroup q31_to_x Convert 32-bit Integer value - */ - -/** - * @addtogroup q31_to_x - * @{ - */ - -/** - * @brief Converts the elements of the Q31 vector to floating-point vector. - * @param[in] *pSrc points to the Q31 input vector - * @param[out] *pDst points to the floating-point output vector - * @param[in] blockSize length of the input vector - * @return none. - * - * \par Description: - * - * The equation used for the conversion process is: - * - * <pre> - * pDst[n] = (float32_t) pSrc[n] / 2147483648; 0 <= n < blockSize. - * </pre> - * - */ - - -void arm_q31_to_float( - q31_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - q31_t *pIn = pSrc; /* Src pointer */ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (float32_t) A / 2147483648 */ - /* convert from q31 to float and then store the results in the destination buffer */ - *pDst++ = ((float32_t) * pIn++ / 2147483648.0f); - *pDst++ = ((float32_t) * pIn++ / 2147483648.0f); - *pDst++ = ((float32_t) * pIn++ / 2147483648.0f); - *pDst++ = ((float32_t) * pIn++ / 2147483648.0f); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (float32_t) A / 2147483648 */ - /* convert from q31 to float and then store the results in the destination buffer */ - *pDst++ = ((float32_t) * pIn++ / 2147483648.0f); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of q31_to_x group - */
--- a/cmsis_dsp/SupportFunctions/arm_q31_to_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,145 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_q31_to_q15.c -* -* Description: Converts the elements of the Q31 vector to Q15 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup q31_to_x - * @{ - */ - -/** - * @brief Converts the elements of the Q31 vector to Q15 vector. - * @param[in] *pSrc points to the Q31 input vector - * @param[out] *pDst points to the Q15 output vector - * @param[in] blockSize length of the input vector - * @return none. - * - * \par Description: - * - * The equation used for the conversion process is: - * - * <pre> - * pDst[n] = (q15_t) pSrc[n] >> 16; 0 <= n < blockSize. - * </pre> - * - */ - - -void arm_q31_to_q15( - q31_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q31_t *pIn = pSrc; /* Src pointer */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; - q31_t out1, out2; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (q15_t) A >> 16 */ - /* convert from q31 to q15 and then store the results in the destination buffer */ - in1 = *pIn++; - in2 = *pIn++; - in3 = *pIn++; - in4 = *pIn++; - - /* pack two higher 16-bit values from two 32-bit values */ -#ifndef ARM_MATH_BIG_ENDIAN - - out1 = __PKHTB(in2, in1, 16); - out2 = __PKHTB(in4, in3, 16); - -#else - - out1 = __PKHTB(in1, in2, 16); - out2 = __PKHTB(in3, in4, 16); - -#endif // #ifdef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst)++ = out1; - *__SIMD32(pDst)++ = out2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (q15_t) A >> 16 */ - /* convert from q31 to q15 and then store the results in the destination buffer */ - *pDst++ = (q15_t) (*pIn++ >> 16); - - /* Decrement the loop counter */ - blkCnt--; - } - -} - -/** - * @} end of q31_to_x group - */
--- a/cmsis_dsp/SupportFunctions/arm_q31_to_q7.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,136 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_q31_to_q7.c -* -* Description: Converts the elements of the Q31 vector to Q7 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup q31_to_x - * @{ - */ - -/** - * @brief Converts the elements of the Q31 vector to Q7 vector. - * @param[in] *pSrc points to the Q31 input vector - * @param[out] *pDst points to the Q7 output vector - * @param[in] blockSize length of the input vector - * @return none. - * - * \par Description: - * - * The equation used for the conversion process is: - * - * <pre> - * pDst[n] = (q7_t) pSrc[n] >> 24; 0 <= n < blockSize. - * </pre> - * - */ - - -void arm_q31_to_q7( - q31_t * pSrc, - q7_t * pDst, - uint32_t blockSize) -{ - q31_t *pIn = pSrc; /* Src pointer */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - q31_t in1, in2, in3, in4; - q7_t out1, out2, out3, out4; - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (q7_t) A >> 24 */ - /* convert from q31 to q7 and then store the results in the destination buffer */ - in1 = *pIn++; - in2 = *pIn++; - in3 = *pIn++; - in4 = *pIn++; - - out1 = (q7_t) (in1 >> 24); - out2 = (q7_t) (in2 >> 24); - out3 = (q7_t) (in3 >> 24); - out4 = (q7_t) (in4 >> 24); - - *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (q7_t) A >> 24 */ - /* convert from q31 to q7 and then store the results in the destination buffer */ - *pDst++ = (q7_t) (*pIn++ >> 24); - - /* Decrement the loop counter */ - blkCnt--; - } - -} - -/** - * @} end of q31_to_x group - */
--- a/cmsis_dsp/SupportFunctions/arm_q7_to_float.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,131 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_q7_to_float.c -* -* Description: Converts the elements of the Q7 vector to floating-point vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @defgroup q7_to_x Convert 8-bit Integer value - */ - -/** - * @addtogroup q7_to_x - * @{ - */ - -/** - * @brief Converts the elements of the Q7 vector to floating-point vector. - * @param[in] *pSrc points to the Q7 input vector - * @param[out] *pDst points to the floating-point output vector - * @param[in] blockSize length of the input vector - * @return none. - * - * \par Description: - * - * The equation used for the conversion process is: - * - * <pre> - * pDst[n] = (float32_t) pSrc[n] / 128; 0 <= n < blockSize. - * </pre> - * - */ - - -void arm_q7_to_float( - q7_t * pSrc, - float32_t * pDst, - uint32_t blockSize) -{ - q7_t *pIn = pSrc; /* Src pointer */ - uint32_t blkCnt; /* loop counter */ - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (float32_t) A / 128 */ - /* convert from q7 to float and then store the results in the destination buffer */ - *pDst++ = ((float32_t) * pIn++ / 128.0f); - *pDst++ = ((float32_t) * pIn++ / 128.0f); - *pDst++ = ((float32_t) * pIn++ / 128.0f); - *pDst++ = ((float32_t) * pIn++ / 128.0f); - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (float32_t) A / 128 */ - /* convert from q7 to float and then store the results in the destination buffer */ - *pDst++ = ((float32_t) * pIn++ / 128.0f); - - /* Decrement the loop counter */ - blkCnt--; - } -} - -/** - * @} end of q7_to_x group - */
--- a/cmsis_dsp/SupportFunctions/arm_q7_to_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,157 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_q7_to_q15.c -* -* Description: Converts the elements of the Q7 vector to Q15 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup q7_to_x - * @{ - */ - - - - -/** - * @brief Converts the elements of the Q7 vector to Q15 vector. - * @param[in] *pSrc points to the Q7 input vector - * @param[out] *pDst points to the Q15 output vector - * @param[in] blockSize length of the input vector - * @return none. - * - * \par Description: - * - * The equation used for the conversion process is: - * - * <pre> - * pDst[n] = (q15_t) pSrc[n] << 8; 0 <= n < blockSize. - * </pre> - * - */ - - -void arm_q7_to_q15( - q7_t * pSrc, - q15_t * pDst, - uint32_t blockSize) -{ - q7_t *pIn = pSrc; /* Src pointer */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - q31_t in; - q31_t in1, in2; - q31_t out1, out2; - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (q15_t) A << 8 */ - /* convert from q7 to q15 and then store the results in the destination buffer */ - in = *__SIMD32(pIn)++; - - /* rotatate in by 8 and extend two q7_t values to q15_t values */ - in1 = __SXTB16(__ROR(in, 8)); - - /* extend remainig two q7_t values to q15_t values */ - in2 = __SXTB16(in); - - in1 = in1 << 8u; - in2 = in2 << 8u; - - in1 = in1 & 0xFF00FF00; - in2 = in2 & 0xFF00FF00; - -#ifndef ARM_MATH_BIG_ENDIAN - - out2 = __PKHTB(in1, in2, 16); - out1 = __PKHBT(in2, in1, 16); - -#else - - out1 = __PKHTB(in1, in2, 16); - out2 = __PKHBT(in2, in1, 16); - -#endif - - *__SIMD32(pDst)++ = out1; - *__SIMD32(pDst)++ = out2; - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (q15_t) A << 8 */ - /* convert from q7 to q15 and then store the results in the destination buffer */ - *pDst++ = (q15_t) * pIn++ << 8; - - /* Decrement the loop counter */ - blkCnt--; - } - -} - -/** - * @} end of q7_to_x group - */
--- a/cmsis_dsp/SupportFunctions/arm_q7_to_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,142 +0,0 @@ -/* ---------------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_q7_to_q31.c -* -* Description: Converts the elements of the Q7 vector to Q31 vector. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* ---------------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupSupport - */ - -/** - * @addtogroup q7_to_x - * @{ - */ - -/** - * @brief Converts the elements of the Q7 vector to Q31 vector. - * @param[in] *pSrc points to the Q7 input vector - * @param[out] *pDst points to the Q31 output vector - * @param[in] blockSize length of the input vector - * @return none. - * - * \par Description: - * - * The equation used for the conversion process is: - * - * <pre> - * pDst[n] = (q31_t) pSrc[n] << 24; 0 <= n < blockSize. - * </pre> - * - */ - - -void arm_q7_to_q31( - q7_t * pSrc, - q31_t * pDst, - uint32_t blockSize) -{ - q7_t *pIn = pSrc; /* Src pointer */ - uint32_t blkCnt; /* loop counter */ - -#ifndef ARM_MATH_CM0_FAMILY - - q31_t in; - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /*loop Unrolling */ - blkCnt = blockSize >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - while(blkCnt > 0u) - { - /* C = (q31_t) A << 24 */ - /* convert from q7 to q31 and then store the results in the destination buffer */ - in = *__SIMD32(pIn)++; - -#ifndef ARM_MATH_BIG_ENDIAN - - *pDst++ = (__ROR(in, 8)) & 0xFF000000; - *pDst++ = (__ROR(in, 16)) & 0xFF000000; - *pDst++ = (__ROR(in, 24)) & 0xFF000000; - *pDst++ = (in & 0xFF000000); - -#else - - *pDst++ = (in & 0xFF000000); - *pDst++ = (__ROR(in, 24)) & 0xFF000000; - *pDst++ = (__ROR(in, 16)) & 0xFF000000; - *pDst++ = (__ROR(in, 8)) & 0xFF000000; - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - /* Decrement the loop counter */ - blkCnt--; - } - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - blkCnt = blockSize % 0x4u; - -#else - - /* Run the below code for Cortex-M0 */ - - /* Loop over blockSize number of values */ - blkCnt = blockSize; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - - while(blkCnt > 0u) - { - /* C = (q31_t) A << 24 */ - /* convert from q7 to q31 and then store the results in the destination buffer */ - *pDst++ = (q31_t) * pIn++ << 24; - - /* Decrement the loop counter */ - blkCnt--; - } - -} - -/** - * @} end of q7_to_x group - */
--- a/cmsis_dsp/SupportFunctions/math_helper.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,460 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2012 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.0 -* -* Project: CMSIS DSP Library -* -* Title: math_helper.c -* -* Description: Definition of all helper functions required. -* -* Target Processor: Cortex-M4/Cortex-M3 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -/* ---------------------------------------------------------------------- -* Include standard header files -* -------------------------------------------------------------------- */ -#include<math.h> - -/* ---------------------------------------------------------------------- -* Include project header files -* -------------------------------------------------------------------- */ -#include "math_helper.h" - -/** - * @brief Caluclation of SNR - * @param float* Pointer to the reference buffer - * @param float* Pointer to the test buffer - * @param uint32_t total number of samples - * @return float SNR - * The function Caluclates signal to noise ratio for the reference output - * and test output - */ - -float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize) -{ - float EnergySignal = 0.0, EnergyError = 0.0; - uint32_t i; - float SNR; - int temp; - int *test; - - for (i = 0; i < buffSize; i++) - { - /* Checking for a NAN value in pRef array */ - test = (int *)(&pRef[i]); - temp = *test; - - if(temp == 0x7FC00000) - { - return(0); - } - - /* Checking for a NAN value in pTest array */ - test = (int *)(&pTest[i]); - temp = *test; - - if(temp == 0x7FC00000) - { - return(0); - } - EnergySignal += pRef[i] * pRef[i]; - EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]); - } - - /* Checking for a NAN value in EnergyError */ - test = (int *)(&EnergyError); - temp = *test; - - if(temp == 0x7FC00000) - { - return(0); - } - - - SNR = 10 * log10 (EnergySignal / EnergyError); - - return (SNR); - -} - - -/** - * @brief Provide guard bits for Input buffer - * @param q15_t* Pointer to input buffer - * @param uint32_t blockSize - * @param uint32_t guard_bits - * @return none - * The function Provides the guard bits for the buffer - * to avoid overflow - */ - -void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize, - uint32_t guard_bits) -{ - uint32_t i; - - for (i = 0; i < blockSize; i++) - { - input_buf[i] = input_buf[i] >> guard_bits; - } -} - -/** - * @brief Converts float to fixed in q12.20 format - * @param uint32_t number of samples in the buffer - * @return none - * The function converts floating point values to fixed point(q12.20) values - */ - -void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples) -{ - uint32_t i; - - for (i = 0; i < numSamples; i++) - { - /* 1048576.0f corresponds to pow(2, 20) */ - pOut[i] = (q31_t) (pIn[i] * 1048576.0f); - - pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; - - if (pIn[i] == (float) 1.0) - { - pOut[i] = 0x000FFFFF; - } - } -} - -/** - * @brief Compare MATLAB Reference Output and ARM Test output - * @param q15_t* Pointer to Ref buffer - * @param q15_t* Pointer to Test buffer - * @param uint32_t number of samples in the buffer - * @return none - */ - -uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples) -{ - uint32_t i; - int32_t diff; - uint32_t diffCrnt = 0; - uint32_t maxDiff = 0; - - for (i = 0; i < numSamples; i++) - { - diff = pIn[i] - pOut[i]; - diffCrnt = (diff > 0) ? diff : -diff; - - if(diffCrnt > maxDiff) - { - maxDiff = diffCrnt; - } - } - - return(maxDiff); -} - -/** - * @brief Compare MATLAB Reference Output and ARM Test output - * @param q31_t* Pointer to Ref buffer - * @param q31_t* Pointer to Test buffer - * @param uint32_t number of samples in the buffer - * @return none - */ - -uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples) -{ - uint32_t i; - int32_t diff; - uint32_t diffCrnt = 0; - uint32_t maxDiff = 0; - - for (i = 0; i < numSamples; i++) - { - diff = pIn[i] - pOut[i]; - diffCrnt = (diff > 0) ? diff : -diff; - - if(diffCrnt > maxDiff) - { - maxDiff = diffCrnt; - } - } - - return(maxDiff); -} - -/** - * @brief Provide guard bits for Input buffer - * @param q31_t* Pointer to input buffer - * @param uint32_t blockSize - * @param uint32_t guard_bits - * @return none - * The function Provides the guard bits for the buffer - * to avoid overflow - */ - -void arm_provide_guard_bits_q31 (q31_t * input_buf, - uint32_t blockSize, - uint32_t guard_bits) -{ - uint32_t i; - - for (i = 0; i < blockSize; i++) - { - input_buf[i] = input_buf[i] >> guard_bits; - } -} - -/** - * @brief Provide guard bits for Input buffer - * @param q31_t* Pointer to input buffer - * @param uint32_t blockSize - * @param uint32_t guard_bits - * @return none - * The function Provides the guard bits for the buffer - * to avoid overflow - */ - -void arm_provide_guard_bits_q7 (q7_t * input_buf, - uint32_t blockSize, - uint32_t guard_bits) -{ - uint32_t i; - - for (i = 0; i < blockSize; i++) - { - input_buf[i] = input_buf[i] >> guard_bits; - } -} - - - -/** - * @brief Caluclates number of guard bits - * @param uint32_t number of additions - * @return none - * The function Caluclates the number of guard bits - * depending on the numtaps - */ - -uint32_t arm_calc_guard_bits (uint32_t num_adds) -{ - uint32_t i = 1, j = 0; - - if (num_adds == 1) - { - return (0); - } - - while (i < num_adds) - { - i = i * 2; - j++; - } - - return (j); -} - -/** - * @brief Converts Q15 to floating-point - * @param uint32_t number of samples in the buffer - * @return none - */ - -void arm_apply_guard_bits (float32_t * pIn, - uint32_t numSamples, - uint32_t guard_bits) -{ - uint32_t i; - - for (i = 0; i < numSamples; i++) - { - pIn[i] = pIn[i] * arm_calc_2pow(guard_bits); - } -} - -/** - * @brief Calculates pow(2, numShifts) - * @param uint32_t number of shifts - * @return pow(2, numShifts) - */ -uint32_t arm_calc_2pow(uint32_t numShifts) -{ - - uint32_t i, val = 1; - - for (i = 0; i < numShifts; i++) - { - val = val * 2; - } - - return(val); -} - - - -/** - * @brief Converts float to fixed q14 - * @param uint32_t number of samples in the buffer - * @return none - * The function converts floating point values to fixed point values - */ - -void arm_float_to_q14 (float *pIn, q15_t * pOut, - uint32_t numSamples) -{ - uint32_t i; - - for (i = 0; i < numSamples; i++) - { - /* 16384.0f corresponds to pow(2, 14) */ - pOut[i] = (q15_t) (pIn[i] * 16384.0f); - - pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; - - if (pIn[i] == (float) 2.0) - { - pOut[i] = 0x7FFF; - } - - } - -} - - -/** - * @brief Converts float to fixed q30 format - * @param uint32_t number of samples in the buffer - * @return none - * The function converts floating point values to fixed point values - */ - -void arm_float_to_q30 (float *pIn, q31_t * pOut, - uint32_t numSamples) -{ - uint32_t i; - - for (i = 0; i < numSamples; i++) - { - /* 1073741824.0f corresponds to pow(2, 30) */ - pOut[i] = (q31_t) (pIn[i] * 1073741824.0f); - - pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; - - if (pIn[i] == (float) 2.0) - { - pOut[i] = 0x7FFFFFFF; - } - } -} - -/** - * @brief Converts float to fixed q30 format - * @param uint32_t number of samples in the buffer - * @return none - * The function converts floating point values to fixed point values - */ - -void arm_float_to_q29 (float *pIn, q31_t * pOut, - uint32_t numSamples) -{ - uint32_t i; - - for (i = 0; i < numSamples; i++) - { - /* 1073741824.0f corresponds to pow(2, 30) */ - pOut[i] = (q31_t) (pIn[i] * 536870912.0f); - - pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; - - if (pIn[i] == (float) 4.0) - { - pOut[i] = 0x7FFFFFFF; - } - } -} - - -/** - * @brief Converts float to fixed q28 format - * @param uint32_t number of samples in the buffer - * @return none - * The function converts floating point values to fixed point values - */ - -void arm_float_to_q28 (float *pIn, q31_t * pOut, - uint32_t numSamples) -{ - uint32_t i; - - for (i = 0; i < numSamples; i++) - { - /* 268435456.0f corresponds to pow(2, 28) */ - pOut[i] = (q31_t) (pIn[i] * 268435456.0f); - - pOut[i] += pIn[i] > 0 ? 0.5 : -0.5; - - if (pIn[i] == (float) 8.0) - { - pOut[i] = 0x7FFFFFFF; - } - } -} - -/** - * @brief Clip the float values to +/- 1 - * @param pIn input buffer - * @param numSamples number of samples in the buffer - * @return none - * The function converts floating point values to fixed point values - */ - -void arm_clip_f32 (float *pIn, uint32_t numSamples) -{ - uint32_t i; - - for (i = 0; i < numSamples; i++) - { - if(pIn[i] > 1.0f) - { - pIn[i] = 1.0; - } - else if( pIn[i] < -1.0f) - { - pIn[i] = -1.0; - } - - } -} - - - -
--- a/cmsis_dsp/TransformFunctions/arm_bitreversal.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,242 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_bitreversal.c -* -* Description: This file has common tables like Bitreverse, reciprocal etc which are used across different functions -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" -#include "arm_common_tables.h" - -/* -* @brief In-place bit reversal function. -* @param[in, out] *pSrc points to the in-place buffer of floating-point data type. -* @param[in] fftSize length of the FFT. -* @param[in] bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table. -* @param[in] *pBitRevTab points to the bit reversal table. -* @return none. -*/ - -void arm_bitreversal_f32( -float32_t * pSrc, -uint16_t fftSize, -uint16_t bitRevFactor, -uint16_t * pBitRevTab) -{ - uint16_t fftLenBy2, fftLenBy2p1; - uint16_t i, j; - float32_t in; - - /* Initializations */ - j = 0u; - fftLenBy2 = fftSize >> 1u; - fftLenBy2p1 = (fftSize >> 1u) + 1u; - - /* Bit Reversal Implementation */ - for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u) - { - if(i < j) - { - /* pSrc[i] <-> pSrc[j]; */ - in = pSrc[2u * i]; - pSrc[2u * i] = pSrc[2u * j]; - pSrc[2u * j] = in; - - /* pSrc[i+1u] <-> pSrc[j+1u] */ - in = pSrc[(2u * i) + 1u]; - pSrc[(2u * i) + 1u] = pSrc[(2u * j) + 1u]; - pSrc[(2u * j) + 1u] = in; - - /* pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */ - in = pSrc[2u * (i + fftLenBy2p1)]; - pSrc[2u * (i + fftLenBy2p1)] = pSrc[2u * (j + fftLenBy2p1)]; - pSrc[2u * (j + fftLenBy2p1)] = in; - - /* pSrc[i+fftLenBy2p1+1u] <-> pSrc[j+fftLenBy2p1+1u] */ - in = pSrc[(2u * (i + fftLenBy2p1)) + 1u]; - pSrc[(2u * (i + fftLenBy2p1)) + 1u] = - pSrc[(2u * (j + fftLenBy2p1)) + 1u]; - pSrc[(2u * (j + fftLenBy2p1)) + 1u] = in; - - } - - /* pSrc[i+1u] <-> pSrc[j+1u] */ - in = pSrc[2u * (i + 1u)]; - pSrc[2u * (i + 1u)] = pSrc[2u * (j + fftLenBy2)]; - pSrc[2u * (j + fftLenBy2)] = in; - - /* pSrc[i+2u] <-> pSrc[j+2u] */ - in = pSrc[(2u * (i + 1u)) + 1u]; - pSrc[(2u * (i + 1u)) + 1u] = pSrc[(2u * (j + fftLenBy2)) + 1u]; - pSrc[(2u * (j + fftLenBy2)) + 1u] = in; - - /* Reading the index for the bit reversal */ - j = *pBitRevTab; - - /* Updating the bit reversal index depending on the fft length */ - pBitRevTab += bitRevFactor; - } -} - - - -/* -* @brief In-place bit reversal function. -* @param[in, out] *pSrc points to the in-place buffer of Q31 data type. -* @param[in] fftLen length of the FFT. -* @param[in] bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table -* @param[in] *pBitRevTab points to bit reversal table. -* @return none. -*/ - -void arm_bitreversal_q31( -q31_t * pSrc, -uint32_t fftLen, -uint16_t bitRevFactor, -uint16_t * pBitRevTable) -{ - uint32_t fftLenBy2, fftLenBy2p1, i, j; - q31_t in; - - /* Initializations */ - j = 0u; - fftLenBy2 = fftLen / 2u; - fftLenBy2p1 = (fftLen / 2u) + 1u; - - /* Bit Reversal Implementation */ - for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u) - { - if(i < j) - { - /* pSrc[i] <-> pSrc[j]; */ - in = pSrc[2u * i]; - pSrc[2u * i] = pSrc[2u * j]; - pSrc[2u * j] = in; - - /* pSrc[i+1u] <-> pSrc[j+1u] */ - in = pSrc[(2u * i) + 1u]; - pSrc[(2u * i) + 1u] = pSrc[(2u * j) + 1u]; - pSrc[(2u * j) + 1u] = in; - - /* pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */ - in = pSrc[2u * (i + fftLenBy2p1)]; - pSrc[2u * (i + fftLenBy2p1)] = pSrc[2u * (j + fftLenBy2p1)]; - pSrc[2u * (j + fftLenBy2p1)] = in; - - /* pSrc[i+fftLenBy2p1+1u] <-> pSrc[j+fftLenBy2p1+1u] */ - in = pSrc[(2u * (i + fftLenBy2p1)) + 1u]; - pSrc[(2u * (i + fftLenBy2p1)) + 1u] = - pSrc[(2u * (j + fftLenBy2p1)) + 1u]; - pSrc[(2u * (j + fftLenBy2p1)) + 1u] = in; - - } - - /* pSrc[i+1u] <-> pSrc[j+1u] */ - in = pSrc[2u * (i + 1u)]; - pSrc[2u * (i + 1u)] = pSrc[2u * (j + fftLenBy2)]; - pSrc[2u * (j + fftLenBy2)] = in; - - /* pSrc[i+2u] <-> pSrc[j+2u] */ - in = pSrc[(2u * (i + 1u)) + 1u]; - pSrc[(2u * (i + 1u)) + 1u] = pSrc[(2u * (j + fftLenBy2)) + 1u]; - pSrc[(2u * (j + fftLenBy2)) + 1u] = in; - - /* Reading the index for the bit reversal */ - j = *pBitRevTable; - - /* Updating the bit reversal index depending on the fft length */ - pBitRevTable += bitRevFactor; - } -} - - - -/* - * @brief In-place bit reversal function. - * @param[in, out] *pSrc points to the in-place buffer of Q15 data type. - * @param[in] fftLen length of the FFT. - * @param[in] bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table - * @param[in] *pBitRevTab points to bit reversal table. - * @return none. -*/ - -void arm_bitreversal_q15( -q15_t * pSrc16, -uint32_t fftLen, -uint16_t bitRevFactor, -uint16_t * pBitRevTab) -{ - q31_t *pSrc = (q31_t *) pSrc16; - q31_t in; - uint32_t fftLenBy2, fftLenBy2p1; - uint32_t i, j; - - /* Initializations */ - j = 0u; - fftLenBy2 = fftLen / 2u; - fftLenBy2p1 = (fftLen / 2u) + 1u; - - /* Bit Reversal Implementation */ - for (i = 0u; i <= (fftLenBy2 - 2u); i += 2u) - { - if(i < j) - { - /* pSrc[i] <-> pSrc[j]; */ - /* pSrc[i+1u] <-> pSrc[j+1u] */ - in = pSrc[i]; - pSrc[i] = pSrc[j]; - pSrc[j] = in; - - /* pSrc[i + fftLenBy2p1] <-> pSrc[j + fftLenBy2p1]; */ - /* pSrc[i + fftLenBy2p1+1u] <-> pSrc[j + fftLenBy2p1+1u] */ - in = pSrc[i + fftLenBy2p1]; - pSrc[i + fftLenBy2p1] = pSrc[j + fftLenBy2p1]; - pSrc[j + fftLenBy2p1] = in; - } - - /* pSrc[i+1u] <-> pSrc[j+fftLenBy2]; */ - /* pSrc[i+2] <-> pSrc[j+fftLenBy2+1u] */ - in = pSrc[i + 1u]; - pSrc[i + 1u] = pSrc[j + fftLenBy2]; - pSrc[j + fftLenBy2] = in; - - /* Reading the index for the bit reversal */ - j = *pBitRevTab; - - /* Updating the bit reversal index depending on the fft length */ - pBitRevTab += bitRevFactor; - } -}
--- a/cmsis_dsp/TransformFunctions/arm_bitreversal2.S Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,148 +0,0 @@ -;/* ---------------------------------------------------------------------- -;* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -;* -;* $Date: 17. January 2013 -;* $Revision: V1.4.1 -;* -;* Project: CMSIS DSP Library -;* Title: arm_bitreversal2.S -;* -;* Description: This is the arm_bitreversal_32 function done in -;* assembly for maximum speed. This function is called -;* after doing an fft to reorder the output. The function -;* is loop unrolled by 2. -;* -;* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -;* -;* Redistribution and use in source and binary forms, with or without -;* modification, are permitted provided that the following conditions -;* are met: -;* - Redistributions of source code must retain the above copyright -;* notice, this list of conditions and the following disclaimer. -;* - Redistributions in binary form must reproduce the above copyright -;* notice, this list of conditions and the following disclaimer in -;* the documentation and/or other materials provided with the -;* distribution. -;* - Neither the name of ARM LIMITED nor the names of its contributors -;* may be used to endorse or promote products derived from this -;* software without specific prior written permission. -;* -;* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -;* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -;* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -;* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -;* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -;* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -;* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -;* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -;* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -;* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -;* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -;* POSSIBILITY OF SUCH DAMAGE. -;* -------------------------------------------------------------------- */ -#if defined(__CC_ARM) //Keil - #define CODESECT AREA ||.text||, CODE, READONLY, ALIGN=2 - #define LABEL -#elif defined(__IASMARM__) //IAR - #define CODESECT SECTION `.text`:CODE - #define PROC - #define LABEL - #define ENDP - #define EXPORT PUBLIC -#elif defined (__GNUC__) //GCC - .syntax unified - .cpu cortex-m4 - .fpu softvfp - #define THUMB .thumb - #define CODESECT .section text - #define EXPORT .global - #define PROC : - #define LABEL : - #define ENDP - #define END -#endif - - CODESECT - THUMB - -;/* -;* @brief In-place bit reversal function. -;* @param[in, out] *pSrc points to the in-place buffer of unknown 32-bit data type. -;* @param[in] bitRevLen bit reversal table length -;* @param[in] *pBitRevTab points to bit reversal table. -;* @return none. -;*/ - EXPORT arm_bitreversal_32 - -#if defined(ARM_MATH_CM0) || defined(ARM_MATH_CM0PLUS) - -arm_bitreversal_32 PROC - ADDS r3,r1,#1 - PUSH {r4-r6} - ADDS r1,r2,#0 - LSRS r3,r3,#1 -arm_bitreversal_32_0 LABEL - LDRH r2,[r1,#2] - LDRH r6,[r1,#0] - ADD r2,r0,r2 - ADD r6,r0,r6 - LDR r5,[r2,#0] - LDR r4,[r6,#0] - STR r5,[r6,#0] - STR r4,[r2,#0] - LDR r5,[r2,#4] - LDR r4,[r6,#4] - STR r5,[r6,#4] - STR r4,[r2,#4] - ADDS r1,r1,#4 - SUBS r3,r3,#1 - BNE arm_bitreversal_32_0 - POP {r4-r6} - BX lr - ENDP - -#else - -arm_bitreversal_32 PROC - ADDS r3,r1,#1 - CMP r3,#1 - IT LS - BXLS lr - PUSH {r4-r9} - ADDS r1,r2,#2 - LSRS r3,r3,#2 -arm_bitreversal_32_0 LABEL ;/* loop unrolled by 2 */ - LDRH r8,[r1,#4] - LDRH r9,[r1,#2] - LDRH r2,[r1,#0] - LDRH r12,[r1,#-2] - ADD r8,r0,r8 - ADD r9,r0,r9 - ADD r2,r0,r2 - ADD r12,r0,r12 - LDR r7,[r9,#0] - LDR r6,[r8,#0] - LDR r5,[r2,#0] - LDR r4,[r12,#0] - STR r6,[r9,#0] - STR r7,[r8,#0] - STR r5,[r12,#0] - STR r4,[r2,#0] - LDR r7,[r9,#4] - LDR r6,[r8,#4] - LDR r5,[r2,#4] - LDR r4,[r12,#4] - STR r6,[r9,#4] - STR r7,[r8,#4] - STR r5,[r12,#4] - STR r4,[r2,#4] - ADDS r1,r1,#8 - SUBS r3,r3,#1 - BNE arm_bitreversal_32_0 - POP {r4-r9} - BX lr - ENDP - -#endif - - END
--- a/cmsis_dsp/TransformFunctions/arm_cfft_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,616 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_f32.c -* -* Description: Combined Radix Decimation in Frequency CFFT Floating point processing function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - - -#include "arm_math.h" -#include "arm_common_tables.h" - -extern void arm_radix8_butterfly_f32( - float32_t * pSrc, - uint16_t fftLen, - const float32_t * pCoef, - uint16_t twidCoefModifier); - -extern void arm_bitreversal_32( - uint32_t * pSrc, - const uint16_t bitRevLen, - const uint16_t * pBitRevTable); - -/** -* @ingroup groupTransforms -*/ - -/** -* @defgroup ComplexFFT Complex FFT Functions -* -* \par -* The Fast Fourier Transform (FFT) is an efficient algorithm for computing the -* Discrete Fourier Transform (DFT). The FFT can be orders of magnitude faster -* than the DFT, especially for long lengths. -* The algorithms described in this section -* operate on complex data. A separate set of functions is devoted to handling -* of real sequences. -* \par -* There are separate algorithms for handling floating-point, Q15, and Q31 data -* types. The algorithms available for each data type are described next. -* \par -* The FFT functions operate in-place. That is, the array holding the input data -* will also be used to hold the corresponding result. The input data is complex -* and contains <code>2*fftLen</code> interleaved values as shown below. -* <pre> {real[0], imag[0], real[1], imag[1],..} </pre> -* The FFT result will be contained in the same array and the frequency domain -* values will have the same interleaving. -* -* \par Floating-point -* The floating-point complex FFT uses a mixed-radix algorithm. Multiple radix-8 -* stages are performed along with a single radix-2 or radix-4 stage, as needed. -* The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses -* a different twiddle factor table. -* \par -* The function uses the standard FFT definition and output values may grow by a -* factor of <code>fftLen</code> when computing the forward transform. The -* inverse transform includes a scale of <code>1/fftLen</code> as part of the -* calculation and this matches the textbook definition of the inverse FFT. -* \par -* Preinitialized data structures containing twiddle factors and bit reversal -* tables are provided and defined in <code>arm_const_structs.h</code>. Include -* this header in your function and then pass one of the constant structures as -* an argument to arm_cfft_f32. For example: -* \par -* <code>arm_cfft_f32(arm_cfft_sR_f32_len64, pSrc, 1, 1)</code> -* \par -* computes a 64-point inverse complex FFT including bit reversal. -* The data structures are treated as constant data and not modified during the -* calculation. The same data structure can be reused for multiple transforms -* including mixing forward and inverse transforms. -* \par -* Earlier releases of the library provided separate radix-2 and radix-4 -* algorithms that operated on floating-point data. These functions are still -* provided but are deprecated. The older functions are slower and less general -* than the new functions. -* \par -* An example of initialization of the constants for the arm_cfft_f32 function follows: -* \par -* const static arm_cfft_instance_f32 *S; -* ... -* switch (length) { -* case 16: -* S = & arm_cfft_sR_f32_len16; -* break; -* case 32: -* S = & arm_cfft_sR_f32_len32; -* break; -* case 64: -* S = & arm_cfft_sR_f32_len64; -* break; -* case 128: -* S = & arm_cfft_sR_f32_len128; -* break; -* case 256: -* S = & arm_cfft_sR_f32_len256; -* break; -* case 512: -* S = & arm_cfft_sR_f32_len512; -* break; -* case 1024: -* S = & arm_cfft_sR_f32_len1024; -* break; -* case 2048: -* S = & arm_cfft_sR_f32_len2048; -* break; -* case 4096: -* S = & arm_cfft_sR_f32_len4096; -* break; -* } -* \par Q15 and Q31 -* The library provides radix-2 and radix-4 FFT algorithms for fixed-point data. The -* radix-2 algorithm supports lengths of [16, 32, 64, ..., 4096]. The radix-4 -* algorithm supports lengths of [16, 64, 256, ..., 4096]. When possible, you -* should use the radix-4 algorithm since it is faster than the radix-2 of the -* same length. -* \par -* The forward FFTs include scaling in order to prevent results from overflowing. -* Intermediate results are scaled down during each butterfly stage. In the -* radix-2 algorithm, a scale of 0.5 is applied during each butterfly. In the -* radix-4 algorithm, a scale of 0.25 is applied. The scaling applies to both -* the forward and the inverse FFTs. Thus the forward FFT contains an additional -* scale factor of <code>1/fftLen</code> as compared to the standard textbook -* definition of the FFT. The inverse FFT also scales down during each butterfly -* stage and this corresponds to the standard textbook definition. -* \par -* A separate instance structure must be defined for each transform used but -* twiddle factor and bit reversal tables can be reused. -* \par -* There is also an associated initialization function for each data type. -* The initialization function performs the following operations: -* - Sets the values of the internal structure fields. -* - Initializes twiddle factor table and bit reversal table pointers. -* \par -* Use of the initialization function is optional. -* However, if the initialization function is used, then the instance structure -* cannot be placed into a const data section. To place an instance structure -* into a const data section, the instance structure should be manually -* initialized as follows: -* <pre> -*arm_cfft_radix2_instance_q31 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor}; -*arm_cfft_radix2_instance_q15 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor}; -*arm_cfft_radix4_instance_q31 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor}; -*arm_cfft_radix4_instance_q15 S = {fftLen, ifftFlag, bitReverseFlag, pTwiddle, pBitRevTable, twidCoefModifier, bitRevFactor}; -*arm_cfft_instance_f32 S = {fftLen, pTwiddle, pBitRevTable, bitRevLength}; -* </pre> -* \par -* where <code>fftLen</code> length of CFFT/CIFFT; <code>ifftFlag</code> Flag for -* selection of forward or inverse transform. When ifftFlag is set the inverse -* transform is calculated. -* <code>bitReverseFlag</code> Flag for selection of output order (Set bitReverseFlag to output in normal order otherwise output in bit reversed order); -* <code>pTwiddle</code>points to array of twiddle coefficients; <code>pBitRevTable</code> points to the bit reversal table. -* <code>twidCoefModifier</code> modifier for twiddle factor table which supports all FFT lengths with same table; -* <code>pBitRevTable</code> modifier for bit reversal table which supports all FFT lengths with same table. -* <code>onebyfftLen</code> value of 1/fftLen to calculate CIFFT; -* \par -* The Q15 and Q31 FFT functions use a large bit reversal and twiddle factor -* table. The tables are defined for the maximum length transform and a subset -* of the coefficients are used in shorter transforms. -* -*/ - -void arm_cfft_radix8by2_f32( arm_cfft_instance_f32 * S, float32_t * p1) -{ - uint32_t L = S->fftLen; - float32_t * pCol1, * pCol2, * pMid1, * pMid2; - float32_t * p2 = p1 + L; - const float32_t * tw = (float32_t *) S->pTwiddle; - float32_t t1[4], t2[4], t3[4], t4[4], twR, twI; - float32_t m0, m1, m2, m3; - uint32_t l; - - pCol1 = p1; - pCol2 = p2; - - // Define new length - L >>= 1; - // Initialize mid pointers - pMid1 = p1 + L; - pMid2 = p2 + L; - - // do two dot Fourier transform - for ( l = L >> 2; l > 0; l-- ) - { - t1[0] = p1[0]; - t1[1] = p1[1]; - t1[2] = p1[2]; - t1[3] = p1[3]; - - t2[0] = p2[0]; - t2[1] = p2[1]; - t2[2] = p2[2]; - t2[3] = p2[3]; - - t3[0] = pMid1[0]; - t3[1] = pMid1[1]; - t3[2] = pMid1[2]; - t3[3] = pMid1[3]; - - t4[0] = pMid2[0]; - t4[1] = pMid2[1]; - t4[2] = pMid2[2]; - t4[3] = pMid2[3]; - - *p1++ = t1[0] + t2[0]; - *p1++ = t1[1] + t2[1]; - *p1++ = t1[2] + t2[2]; - *p1++ = t1[3] + t2[3]; // col 1 - - t2[0] = t1[0] - t2[0]; - t2[1] = t1[1] - t2[1]; - t2[2] = t1[2] - t2[2]; - t2[3] = t1[3] - t2[3]; // for col 2 - - *pMid1++ = t3[0] + t4[0]; - *pMid1++ = t3[1] + t4[1]; - *pMid1++ = t3[2] + t4[2]; - *pMid1++ = t3[3] + t4[3]; // col 1 - - t4[0] = t4[0] - t3[0]; - t4[1] = t4[1] - t3[1]; - t4[2] = t4[2] - t3[2]; - t4[3] = t4[3] - t3[3]; // for col 2 - - twR = *tw++; - twI = *tw++; - - // multiply by twiddle factors - m0 = t2[0] * twR; - m1 = t2[1] * twI; - m2 = t2[1] * twR; - m3 = t2[0] * twI; - - // R = R * Tr - I * Ti - *p2++ = m0 + m1; - // I = I * Tr + R * Ti - *p2++ = m2 - m3; - - // use vertical symmetry - // 0.9988 - 0.0491i <==> -0.0491 - 0.9988i - m0 = t4[0] * twI; - m1 = t4[1] * twR; - m2 = t4[1] * twI; - m3 = t4[0] * twR; - - *pMid2++ = m0 - m1; - *pMid2++ = m2 + m3; - - twR = *tw++; - twI = *tw++; - - m0 = t2[2] * twR; - m1 = t2[3] * twI; - m2 = t2[3] * twR; - m3 = t2[2] * twI; - - *p2++ = m0 + m1; - *p2++ = m2 - m3; - - m0 = t4[2] * twI; - m1 = t4[3] * twR; - m2 = t4[3] * twI; - m3 = t4[2] * twR; - - *pMid2++ = m0 - m1; - *pMid2++ = m2 + m3; - } - - // first col - arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 2u); - // second col - arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 2u); - -} - -void arm_cfft_radix8by4_f32( arm_cfft_instance_f32 * S, float32_t * p1) -{ - uint32_t L = S->fftLen >> 1; - float32_t * pCol1, *pCol2, *pCol3, *pCol4, *pEnd1, *pEnd2, *pEnd3, *pEnd4; - const float32_t *tw2, *tw3, *tw4; - float32_t * p2 = p1 + L; - float32_t * p3 = p2 + L; - float32_t * p4 = p3 + L; - float32_t t2[4], t3[4], t4[4], twR, twI; - float32_t p1ap3_0, p1sp3_0, p1ap3_1, p1sp3_1; - float32_t m0, m1, m2, m3; - uint32_t l, twMod2, twMod3, twMod4; - - pCol1 = p1; // points to real values by default - pCol2 = p2; - pCol3 = p3; - pCol4 = p4; - pEnd1 = p2 - 1; // points to imaginary values by default - pEnd2 = p3 - 1; - pEnd3 = p4 - 1; - pEnd4 = pEnd3 + L; - - tw2 = tw3 = tw4 = (float32_t *) S->pTwiddle; - - L >>= 1; - - // do four dot Fourier transform - - twMod2 = 2; - twMod3 = 4; - twMod4 = 6; - - // TOP - p1ap3_0 = p1[0] + p3[0]; - p1sp3_0 = p1[0] - p3[0]; - p1ap3_1 = p1[1] + p3[1]; - p1sp3_1 = p1[1] - p3[1]; - - // col 2 - t2[0] = p1sp3_0 + p2[1] - p4[1]; - t2[1] = p1sp3_1 - p2[0] + p4[0]; - // col 3 - t3[0] = p1ap3_0 - p2[0] - p4[0]; - t3[1] = p1ap3_1 - p2[1] - p4[1]; - // col 4 - t4[0] = p1sp3_0 - p2[1] + p4[1]; - t4[1] = p1sp3_1 + p2[0] - p4[0]; - // col 1 - *p1++ = p1ap3_0 + p2[0] + p4[0]; - *p1++ = p1ap3_1 + p2[1] + p4[1]; - - // Twiddle factors are ones - *p2++ = t2[0]; - *p2++ = t2[1]; - *p3++ = t3[0]; - *p3++ = t3[1]; - *p4++ = t4[0]; - *p4++ = t4[1]; - - tw2 += twMod2; - tw3 += twMod3; - tw4 += twMod4; - - for (l = (L - 2) >> 1; l > 0; l-- ) - { - - // TOP - p1ap3_0 = p1[0] + p3[0]; - p1sp3_0 = p1[0] - p3[0]; - p1ap3_1 = p1[1] + p3[1]; - p1sp3_1 = p1[1] - p3[1]; - // col 2 - t2[0] = p1sp3_0 + p2[1] - p4[1]; - t2[1] = p1sp3_1 - p2[0] + p4[0]; - // col 3 - t3[0] = p1ap3_0 - p2[0] - p4[0]; - t3[1] = p1ap3_1 - p2[1] - p4[1]; - // col 4 - t4[0] = p1sp3_0 - p2[1] + p4[1]; - t4[1] = p1sp3_1 + p2[0] - p4[0]; - // col 1 - top - *p1++ = p1ap3_0 + p2[0] + p4[0]; - *p1++ = p1ap3_1 + p2[1] + p4[1]; - - // BOTTOM - p1ap3_1 = pEnd1[-1] + pEnd3[-1]; - p1sp3_1 = pEnd1[-1] - pEnd3[-1]; - p1ap3_0 = pEnd1[0] + pEnd3[0]; - p1sp3_0 = pEnd1[0] - pEnd3[0]; - // col 2 - t2[2] = pEnd2[0] - pEnd4[0] + p1sp3_1; - t2[3] = pEnd1[0] - pEnd3[0] - pEnd2[-1] + pEnd4[-1]; - // col 3 - t3[2] = p1ap3_1 - pEnd2[-1] - pEnd4[-1]; - t3[3] = p1ap3_0 - pEnd2[0] - pEnd4[0]; - // col 4 - t4[2] = pEnd2[0] - pEnd4[0] - p1sp3_1; - t4[3] = pEnd4[-1] - pEnd2[-1] - p1sp3_0; - // col 1 - Bottom - *pEnd1-- = p1ap3_0 + pEnd2[0] + pEnd4[0]; - *pEnd1-- = p1ap3_1 + pEnd2[-1] + pEnd4[-1]; - - // COL 2 - // read twiddle factors - twR = *tw2++; - twI = *tw2++; - // multiply by twiddle factors - // let Z1 = a + i(b), Z2 = c + i(d) - // => Z1 * Z2 = (a*c - b*d) + i(b*c + a*d) - // Top - m0 = t2[0] * twR; - m1 = t2[1] * twI; - m2 = t2[1] * twR; - m3 = t2[0] * twI; - - *p2++ = m0 + m1; - *p2++ = m2 - m3; - // use vertical symmetry col 2 - // 0.9997 - 0.0245i <==> 0.0245 - 0.9997i - // Bottom - m0 = t2[3] * twI; - m1 = t2[2] * twR; - m2 = t2[2] * twI; - m3 = t2[3] * twR; - - *pEnd2-- = m0 - m1; - *pEnd2-- = m2 + m3; - - // COL 3 - twR = tw3[0]; - twI = tw3[1]; - tw3 += twMod3; - // Top - m0 = t3[0] * twR; - m1 = t3[1] * twI; - m2 = t3[1] * twR; - m3 = t3[0] * twI; - - *p3++ = m0 + m1; - *p3++ = m2 - m3; - // use vertical symmetry col 3 - // 0.9988 - 0.0491i <==> -0.9988 - 0.0491i - // Bottom - m0 = -t3[3] * twR; - m1 = t3[2] * twI; - m2 = t3[2] * twR; - m3 = t3[3] * twI; - - *pEnd3-- = m0 - m1; - *pEnd3-- = m3 - m2; - - // COL 4 - twR = tw4[0]; - twI = tw4[1]; - tw4 += twMod4; - // Top - m0 = t4[0] * twR; - m1 = t4[1] * twI; - m2 = t4[1] * twR; - m3 = t4[0] * twI; - - *p4++ = m0 + m1; - *p4++ = m2 - m3; - // use vertical symmetry col 4 - // 0.9973 - 0.0736i <==> -0.0736 + 0.9973i - // Bottom - m0 = t4[3] * twI; - m1 = t4[2] * twR; - m2 = t4[2] * twI; - m3 = t4[3] * twR; - - *pEnd4-- = m0 - m1; - *pEnd4-- = m2 + m3; - } - - //MIDDLE - // Twiddle factors are - // 1.0000 0.7071-0.7071i -1.0000i -0.7071-0.7071i - p1ap3_0 = p1[0] + p3[0]; - p1sp3_0 = p1[0] - p3[0]; - p1ap3_1 = p1[1] + p3[1]; - p1sp3_1 = p1[1] - p3[1]; - - // col 2 - t2[0] = p1sp3_0 + p2[1] - p4[1]; - t2[1] = p1sp3_1 - p2[0] + p4[0]; - // col 3 - t3[0] = p1ap3_0 - p2[0] - p4[0]; - t3[1] = p1ap3_1 - p2[1] - p4[1]; - // col 4 - t4[0] = p1sp3_0 - p2[1] + p4[1]; - t4[1] = p1sp3_1 + p2[0] - p4[0]; - // col 1 - Top - *p1++ = p1ap3_0 + p2[0] + p4[0]; - *p1++ = p1ap3_1 + p2[1] + p4[1]; - - // COL 2 - twR = tw2[0]; - twI = tw2[1]; - - m0 = t2[0] * twR; - m1 = t2[1] * twI; - m2 = t2[1] * twR; - m3 = t2[0] * twI; - - *p2++ = m0 + m1; - *p2++ = m2 - m3; - // COL 3 - twR = tw3[0]; - twI = tw3[1]; - - m0 = t3[0] * twR; - m1 = t3[1] * twI; - m2 = t3[1] * twR; - m3 = t3[0] * twI; - - *p3++ = m0 + m1; - *p3++ = m2 - m3; - // COL 4 - twR = tw4[0]; - twI = tw4[1]; - - m0 = t4[0] * twR; - m1 = t4[1] * twI; - m2 = t4[1] * twR; - m3 = t4[0] * twI; - - *p4++ = m0 + m1; - *p4++ = m2 - m3; - - // first col - arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 4u); - // second col - arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 4u); - // third col - arm_radix8_butterfly_f32( pCol3, L, (float32_t *) S->pTwiddle, 4u); - // fourth col - arm_radix8_butterfly_f32( pCol4, L, (float32_t *) S->pTwiddle, 4u); - -} - -/** -* @addtogroup ComplexFFT -* @{ -*/ - -/** -* @details -* @brief Processing function for the floating-point complex FFT. -* @param[in] *S points to an instance of the floating-point CFFT structure. -* @param[in, out] *p1 points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. -* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. -* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. -* @return none. -*/ - -void arm_cfft_f32( - const arm_cfft_instance_f32 * S, - float32_t * p1, - uint8_t ifftFlag, - uint8_t bitReverseFlag) -{ - - uint32_t L = S->fftLen, l; - float32_t invL, * pSrc; - - if(ifftFlag == 1u) - { - /* Conjugate input data */ - pSrc = p1 + 1; - for(l=0; l<L; l++) { - *pSrc = -*pSrc; - pSrc += 2; - } - } - - switch (L) { - case 16: - case 128: - case 1024: - arm_cfft_radix8by2_f32 ( (arm_cfft_instance_f32 *) S, p1); - break; - case 32: - case 256: - case 2048: - arm_cfft_radix8by4_f32 ( (arm_cfft_instance_f32 *) S, p1); - break; - case 64: - case 512: - case 4096: - arm_radix8_butterfly_f32( p1, L, (float32_t *) S->pTwiddle, 1); - break; - } - - if( bitReverseFlag ) - arm_bitreversal_32((uint32_t*)p1,S->bitRevLength,S->pBitRevTable); - - if(ifftFlag == 1u) - { - invL = 1.0f/(float32_t)L; - /* Conjugate and scale output data */ - pSrc = p1; - for(l=0; l<L; l++) { - *pSrc++ *= invL ; - *pSrc = -(*pSrc) * invL; - pSrc++; - } - } -} -
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix2_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,485 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_radix2_f32.c -* -* Description: Radix-2 Decimation in Frequency CFFT & CIFFT Floating point processing function -* -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -void arm_radix2_butterfly_f32( - float32_t * pSrc, - uint32_t fftLen, - float32_t * pCoef, - uint16_t twidCoefModifier); - -void arm_radix2_butterfly_inverse_f32( - float32_t * pSrc, - uint32_t fftLen, - float32_t * pCoef, - uint16_t twidCoefModifier, - float32_t onebyfftLen); - -extern void arm_bitreversal_f32( - float32_t * pSrc, - uint16_t fftSize, - uint16_t bitRevFactor, - uint16_t * pBitRevTab); - -/** -* @ingroup groupTransforms -*/ - -/** -* @addtogroup ComplexFFT -* @{ -*/ - -/** -* @details -* @brief Radix-2 CFFT/CIFFT. -* @deprecated Do not use this function. It has been superceded by \ref arm_cfft_f32 and will be removed -* in the future. -* @param[in] *S points to an instance of the floating-point Radix-2 CFFT/CIFFT structure. -* @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. -* @return none. -*/ - -void arm_cfft_radix2_f32( -const arm_cfft_radix2_instance_f32 * S, -float32_t * pSrc) -{ - - if(S->ifftFlag == 1u) - { - /* Complex IFFT radix-2 */ - arm_radix2_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle, - S->twidCoefModifier, S->onebyfftLen); - } - else - { - /* Complex FFT radix-2 */ - arm_radix2_butterfly_f32(pSrc, S->fftLen, S->pTwiddle, - S->twidCoefModifier); - } - - if(S->bitReverseFlag == 1u) - { - /* Bit Reversal */ - arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); - } - -} - - -/** -* @} end of ComplexFFT group -*/ - - - -/* ---------------------------------------------------------------------- -** Internal helper function used by the FFTs -** ------------------------------------------------------------------- */ - -/* -* @brief Core function for the floating-point CFFT butterfly process. -* @param[in, out] *pSrc points to the in-place buffer of floating-point data type. -* @param[in] fftLen length of the FFT. -* @param[in] *pCoef points to the twiddle coefficient buffer. -* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. -* @return none. -*/ - -void arm_radix2_butterfly_f32( -float32_t * pSrc, -uint32_t fftLen, -float32_t * pCoef, -uint16_t twidCoefModifier) -{ - - uint32_t i, j, k, l; - uint32_t n1, n2, ia; - float32_t xt, yt, cosVal, sinVal; - float32_t p0, p1, p2, p3; - float32_t a0, a1; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Initializations for the first stage */ - n2 = fftLen >> 1; - ia = 0; - i = 0; - - // loop for groups - for (k = n2; k > 0; k--) - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - - /* Twiddle coefficients index modifier */ - ia += twidCoefModifier; - - /* index calculation for the input as, */ - /* pSrc[i + 0], pSrc[i + fftLen/1] */ - l = i + n2; - - /* Butterfly implementation */ - a0 = pSrc[2 * i] + pSrc[2 * l]; - xt = pSrc[2 * i] - pSrc[2 * l]; - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; - - p0 = xt * cosVal; - p1 = yt * sinVal; - p2 = yt * cosVal; - p3 = xt * sinVal; - - pSrc[2 * i] = a0; - pSrc[2 * i + 1] = a1; - - pSrc[2 * l] = p0 + p1; - pSrc[2 * l + 1] = p2 - p3; - - i++; - } // groups loop end - - twidCoefModifier <<= 1u; - - // loop for stage - for (k = n2; k > 2; k = k >> 1) - { - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - j = 0; - do - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia += twidCoefModifier; - - // loop for butterfly - i = j; - do - { - l = i + n2; - a0 = pSrc[2 * i] + pSrc[2 * l]; - xt = pSrc[2 * i] - pSrc[2 * l]; - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; - - p0 = xt * cosVal; - p1 = yt * sinVal; - p2 = yt * cosVal; - p3 = xt * sinVal; - - pSrc[2 * i] = a0; - pSrc[2 * i + 1] = a1; - - pSrc[2 * l] = p0 + p1; - pSrc[2 * l + 1] = p2 - p3; - - i += n1; - } while( i < fftLen ); // butterfly loop end - j++; - } while( j < n2); // groups loop end - twidCoefModifier <<= 1u; - } // stages loop end - - // loop for butterfly - for (i = 0; i < fftLen; i += 2) - { - a0 = pSrc[2 * i] + pSrc[2 * i + 2]; - xt = pSrc[2 * i] - pSrc[2 * i + 2]; - - yt = pSrc[2 * i + 1] - pSrc[2 * i + 3]; - a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1]; - - pSrc[2 * i] = a0; - pSrc[2 * i + 1] = a1; - pSrc[2 * i + 2] = xt; - pSrc[2 * i + 3] = yt; - } // groups loop end - -#else - - n2 = fftLen; - - // loop for stage - for (k = fftLen; k > 1; k = k >> 1) - { - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - j = 0; - do - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia += twidCoefModifier; - - // loop for butterfly - i = j; - do - { - l = i + n2; - a0 = pSrc[2 * i] + pSrc[2 * l]; - xt = pSrc[2 * i] - pSrc[2 * l]; - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; - - p0 = xt * cosVal; - p1 = yt * sinVal; - p2 = yt * cosVal; - p3 = xt * sinVal; - - pSrc[2 * i] = a0; - pSrc[2 * i + 1] = a1; - - pSrc[2 * l] = p0 + p1; - pSrc[2 * l + 1] = p2 - p3; - - i += n1; - } while(i < fftLen); - j++; - } while(j < n2); - twidCoefModifier <<= 1u; - } - -#endif // #ifndef ARM_MATH_CM0_FAMILY - -} - - -void arm_radix2_butterfly_inverse_f32( -float32_t * pSrc, -uint32_t fftLen, -float32_t * pCoef, -uint16_t twidCoefModifier, -float32_t onebyfftLen) -{ - - uint32_t i, j, k, l; - uint32_t n1, n2, ia; - float32_t xt, yt, cosVal, sinVal; - float32_t p0, p1, p2, p3; - float32_t a0, a1; - -#ifndef ARM_MATH_CM0_FAMILY - - n2 = fftLen >> 1; - ia = 0; - - // loop for groups - for (i = 0; i < n2; i++) - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia += twidCoefModifier; - - l = i + n2; - a0 = pSrc[2 * i] + pSrc[2 * l]; - xt = pSrc[2 * i] - pSrc[2 * l]; - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; - - p0 = xt * cosVal; - p1 = yt * sinVal; - p2 = yt * cosVal; - p3 = xt * sinVal; - - pSrc[2 * i] = a0; - pSrc[2 * i + 1] = a1; - - pSrc[2 * l] = p0 - p1; - pSrc[2 * l + 1] = p2 + p3; - } // groups loop end - - twidCoefModifier <<= 1u; - - // loop for stage - for (k = fftLen / 2; k > 2; k = k >> 1) - { - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - j = 0; - do - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia += twidCoefModifier; - - // loop for butterfly - i = j; - do - { - l = i + n2; - a0 = pSrc[2 * i] + pSrc[2 * l]; - xt = pSrc[2 * i] - pSrc[2 * l]; - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; - - p0 = xt * cosVal; - p1 = yt * sinVal; - p2 = yt * cosVal; - p3 = xt * sinVal; - - pSrc[2 * i] = a0; - pSrc[2 * i + 1] = a1; - - pSrc[2 * l] = p0 - p1; - pSrc[2 * l + 1] = p2 + p3; - - i += n1; - } while( i < fftLen ); // butterfly loop end - j++; - } while(j < n2); // groups loop end - - twidCoefModifier <<= 1u; - } // stages loop end - - // loop for butterfly - for (i = 0; i < fftLen; i += 2) - { - a0 = pSrc[2 * i] + pSrc[2 * i + 2]; - xt = pSrc[2 * i] - pSrc[2 * i + 2]; - - a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1]; - yt = pSrc[2 * i + 1] - pSrc[2 * i + 3]; - - p0 = a0 * onebyfftLen; - p2 = xt * onebyfftLen; - p1 = a1 * onebyfftLen; - p3 = yt * onebyfftLen; - - pSrc[2 * i] = p0; - pSrc[2 * i + 1] = p1; - pSrc[2 * i + 2] = p2; - pSrc[2 * i + 3] = p3; - } // butterfly loop end - -#else - - n2 = fftLen; - - // loop for stage - for (k = fftLen; k > 2; k = k >> 1) - { - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - j = 0; - do - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia = ia + twidCoefModifier; - - // loop for butterfly - i = j; - do - { - l = i + n2; - a0 = pSrc[2 * i] + pSrc[2 * l]; - xt = pSrc[2 * i] - pSrc[2 * l]; - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; - - p0 = xt * cosVal; - p1 = yt * sinVal; - p2 = yt * cosVal; - p3 = xt * sinVal; - - pSrc[2 * i] = a0; - pSrc[2 * i + 1] = a1; - - pSrc[2 * l] = p0 - p1; - pSrc[2 * l + 1] = p2 + p3; - - i += n1; - } while( i < fftLen ); // butterfly loop end - j++; - } while( j < n2 ); // groups loop end - - twidCoefModifier = twidCoefModifier << 1u; - } // stages loop end - - n1 = n2; - n2 = n2 >> 1; - - // loop for butterfly - for (i = 0; i < fftLen; i += n1) - { - l = i + n2; - - a0 = pSrc[2 * i] + pSrc[2 * l]; - xt = pSrc[2 * i] - pSrc[2 * l]; - - a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - - p0 = a0 * onebyfftLen; - p2 = xt * onebyfftLen; - p1 = a1 * onebyfftLen; - p3 = yt * onebyfftLen; - - pSrc[2 * i] = p0; - pSrc[2u * l] = p2; - - pSrc[2 * i + 1] = p1; - pSrc[2u * l + 1u] = p3; - } // butterfly loop end - -#endif // #ifndef ARM_MATH_CM0_FAMILY - -}
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix2_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,205 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_radix4_init_f32.c -* -* Description: Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - - -#include "arm_math.h" -#include "arm_common_tables.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup ComplexFFT - * @{ - */ - -/** -* @brief Initialization function for the floating-point CFFT/CIFFT. -* @deprecated Do not use this function. It has been superceded by \ref arm_cfft_f32 and will be removed -* in the future. -* @param[in,out] *S points to an instance of the floating-point CFFT/CIFFT structure. -* @param[in] fftLen length of the FFT. -* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. -* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. -* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value. -* -* \par Description: -* \par -* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. -* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated -* \par -* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. -* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. -* \par -* The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. -* \par -* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. -*/ -arm_status arm_cfft_radix2_init_f32( - arm_cfft_radix2_instance_f32 * S, - uint16_t fftLen, - uint8_t ifftFlag, - uint8_t bitReverseFlag) -{ - /* Initialise the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - - /* Initialise the FFT length */ - S->fftLen = fftLen; - - /* Initialise the Twiddle coefficient pointer */ - S->pTwiddle = (float32_t *) twiddleCoef; - - /* Initialise the Flag for selection of CFFT or CIFFT */ - S->ifftFlag = ifftFlag; - - /* Initialise the Flag for calculation Bit reversal or not */ - S->bitReverseFlag = bitReverseFlag; - - /* Initializations of structure parameters depending on the FFT length */ - switch (S->fftLen) - { - - case 4096u: - /* Initializations of structure parameters for 4096 point FFT */ - - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 1u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 1u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) armBitRevTable; - /* Initialise the 1/fftLen Value */ - S->onebyfftLen = 0.000244140625; - break; - - case 2048u: - /* Initializations of structure parameters for 2048 point FFT */ - - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 2u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 2u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) & armBitRevTable[1]; - /* Initialise the 1/fftLen Value */ - S->onebyfftLen = 0.00048828125; - break; - - case 1024u: - /* Initializations of structure parameters for 1024 point FFT */ - - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 4u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 4u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; - /* Initialise the 1/fftLen Value */ - S->onebyfftLen = 0.0009765625f; - break; - - case 512u: - /* Initializations of structure parameters for 512 point FFT */ - - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 8u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 8u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) & armBitRevTable[7]; - /* Initialise the 1/fftLen Value */ - S->onebyfftLen = 0.001953125; - break; - - case 256u: - /* Initializations of structure parameters for 256 point FFT */ - S->twidCoefModifier = 16u; - S->bitRevFactor = 16u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; - S->onebyfftLen = 0.00390625f; - break; - - case 128u: - /* Initializations of structure parameters for 128 point FFT */ - S->twidCoefModifier = 32u; - S->bitRevFactor = 32u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[31]; - S->onebyfftLen = 0.0078125; - break; - - case 64u: - /* Initializations of structure parameters for 64 point FFT */ - S->twidCoefModifier = 64u; - S->bitRevFactor = 64u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; - S->onebyfftLen = 0.015625f; - break; - - case 32u: - /* Initializations of structure parameters for 64 point FFT */ - S->twidCoefModifier = 128u; - S->bitRevFactor = 128u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[127]; - S->onebyfftLen = 0.03125; - break; - - case 16u: - /* Initializations of structure parameters for 16 point FFT */ - S->twidCoefModifier = 256u; - S->bitRevFactor = 256u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; - S->onebyfftLen = 0.0625f; - break; - - - default: - /* Reporting argument error if fftSize is not valid value */ - status = ARM_MATH_ARGUMENT_ERROR; - break; - } - - return (status); -} - -/** - * @} end of ComplexFFT group - */
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix2_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,188 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_radix2_init_q15.c -* -* Description: Radix-2 Decimation in Frequency Q15 FFT & IFFT initialization function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" -#include "arm_common_tables.h" - -/** - * @ingroup groupTransforms - */ - - -/** - * @addtogroup ComplexFFT - * @{ - */ - -/** -* @brief Initialization function for the Q15 CFFT/CIFFT. -* @param[in,out] *S points to an instance of the Q15 CFFT/CIFFT structure. -* @param[in] fftLen length of the FFT. -* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. -* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. -* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value. -* -* \par Description: -* \par -* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. -* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated -* \par -* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. -* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. -* \par -* The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. -* \par -* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. -*/ - -arm_status arm_cfft_radix2_init_q15( - arm_cfft_radix2_instance_q15 * S, - uint16_t fftLen, - uint8_t ifftFlag, - uint8_t bitReverseFlag) -{ - /* Initialise the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - - /* Initialise the FFT length */ - S->fftLen = fftLen; - - /* Initialise the Twiddle coefficient pointer */ - S->pTwiddle = (q15_t *) twiddleCoefQ15; - /* Initialise the Flag for selection of CFFT or CIFFT */ - S->ifftFlag = ifftFlag; - /* Initialise the Flag for calculation Bit reversal or not */ - S->bitReverseFlag = bitReverseFlag; - - /* Initializations of structure parameters depending on the FFT length */ - switch (S->fftLen) - { - case 4096u: - /* Initializations of structure parameters for 4096 point FFT */ - - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 1u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 1u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) armBitRevTable; - - break; - - case 2048u: - /* Initializations of structure parameters for 2048 point FFT */ - - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 2u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 2u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) & armBitRevTable[1]; - - break; - - case 1024u: - /* Initializations of structure parameters for 1024 point FFT */ - S->twidCoefModifier = 4u; - S->bitRevFactor = 4u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; - - break; - - case 512u: - /* Initializations of structure parameters for 512 point FFT */ - S->twidCoefModifier = 8u; - S->bitRevFactor = 8u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[7]; - - break; - - case 256u: - /* Initializations of structure parameters for 256 point FFT */ - S->twidCoefModifier = 16u; - S->bitRevFactor = 16u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; - - break; - - case 128u: - /* Initializations of structure parameters for 128 point FFT */ - S->twidCoefModifier = 32u; - S->bitRevFactor = 32u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[31]; - - break; - - case 64u: - /* Initializations of structure parameters for 64 point FFT */ - S->twidCoefModifier = 64u; - S->bitRevFactor = 64u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; - - break; - - case 32u: - /* Initializations of structure parameters for 32 point FFT */ - S->twidCoefModifier = 128u; - S->bitRevFactor = 128u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[127]; - - break; - - case 16u: - /* Initializations of structure parameters for 16 point FFT */ - S->twidCoefModifier = 256u; - S->bitRevFactor = 256u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; - - break; - - default: - /* Reporting argument error if fftSize is not valid value */ - status = ARM_MATH_ARGUMENT_ERROR; - break; - } - - return (status); -} - -/** - * @} end of ComplexFFT group - */
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix2_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,186 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_radix2_init_q31.c -* -* Description: Radix-2 Decimation in Frequency Fixed-point CFFT & CIFFT Initialization function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - - -#include "arm_math.h" -#include "arm_common_tables.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup ComplexFFT - * @{ - */ - - -/** -* -* @brief Initialization function for the Q31 CFFT/CIFFT. -* @param[in,out] *S points to an instance of the Q31 CFFT/CIFFT structure. -* @param[in] fftLen length of the FFT. -* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. -* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. -* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value. -* -* \par Description: -* \par -* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. -* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated -* \par -* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. -* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. -* \par -* The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. -* \par -* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. -*/ - -arm_status arm_cfft_radix2_init_q31( - arm_cfft_radix2_instance_q31 * S, - uint16_t fftLen, - uint8_t ifftFlag, - uint8_t bitReverseFlag) -{ - /* Initialise the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - - /* Initialise the FFT length */ - S->fftLen = fftLen; - - /* Initialise the Twiddle coefficient pointer */ - S->pTwiddle = (q31_t *) twiddleCoefQ31; - /* Initialise the Flag for selection of CFFT or CIFFT */ - S->ifftFlag = ifftFlag; - /* Initialise the Flag for calculation Bit reversal or not */ - S->bitReverseFlag = bitReverseFlag; - - /* Initializations of Instance structure depending on the FFT length */ - switch (S->fftLen) - { - /* Initializations of structure parameters for 4096 point FFT */ - case 4096u: - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 1u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 1u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) armBitRevTable; - break; - - /* Initializations of structure parameters for 2048 point FFT */ - case 2048u: - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 2u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 2u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) & armBitRevTable[1]; - break; - - /* Initializations of structure parameters for 1024 point FFT */ - case 1024u: - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 4u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 4u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; - break; - - /* Initializations of structure parameters for 512 point FFT */ - case 512u: - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 8u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 8u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) & armBitRevTable[7]; - break; - - case 256u: - /* Initializations of structure parameters for 256 point FFT */ - S->twidCoefModifier = 16u; - S->bitRevFactor = 16u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; - break; - - case 128u: - /* Initializations of structure parameters for 128 point FFT */ - S->twidCoefModifier = 32u; - S->bitRevFactor = 32u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[31]; - break; - - case 64u: - /* Initializations of structure parameters for 64 point FFT */ - S->twidCoefModifier = 64u; - S->bitRevFactor = 64u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; - break; - - case 32u: - /* Initializations of structure parameters for 32 point FFT */ - S->twidCoefModifier = 128u; - S->bitRevFactor = 128u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[127]; - break; - - case 16u: - /* Initializations of structure parameters for 16 point FFT */ - S->twidCoefModifier = 256u; - S->bitRevFactor = 256u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; - break; - - - default: - /* Reporting argument error if fftSize is not valid value */ - status = ARM_MATH_ARGUMENT_ERROR; - break; - } - - return (status); -} - -/** - * @} end of ComplexFFT group - */
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix2_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,741 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_radix2_q15.c -* -* Description: Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function -* -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -void arm_radix2_butterfly_q15( - q15_t * pSrc, - uint32_t fftLen, - q15_t * pCoef, - uint16_t twidCoefModifier); - -void arm_radix2_butterfly_inverse_q15( - q15_t * pSrc, - uint32_t fftLen, - q15_t * pCoef, - uint16_t twidCoefModifier); - -void arm_bitreversal_q15( - q15_t * pSrc, - uint32_t fftLen, - uint16_t bitRevFactor, - uint16_t * pBitRevTab); - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup ComplexFFT - * @{ - */ - -/** - * @details - * @brief Processing function for the fixed-point CFFT/CIFFT. - * @param[in] *S points to an instance of the fixed-point CFFT/CIFFT structure. - * @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. - * @return none. - */ - -void arm_cfft_radix2_q15( - const arm_cfft_radix2_instance_q15 * S, - q15_t * pSrc) -{ - - if(S->ifftFlag == 1u) - { - arm_radix2_butterfly_inverse_q15(pSrc, S->fftLen, - S->pTwiddle, S->twidCoefModifier); - } - else - { - arm_radix2_butterfly_q15(pSrc, S->fftLen, - S->pTwiddle, S->twidCoefModifier); - } - - arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); -} - -/** - * @} end of ComplexFFT group - */ - -void arm_radix2_butterfly_q15( - q15_t * pSrc, - uint32_t fftLen, - q15_t * pCoef, - uint16_t twidCoefModifier) -{ -#ifndef ARM_MATH_CM0_FAMILY - - unsigned i, j, k, l; - unsigned n1, n2, ia; - q15_t in; - q31_t T, S, R; - q31_t coeff, out1, out2; - - //N = fftLen; - n2 = fftLen; - - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (i = 0; i < n2; i++) - { - coeff = _SIMD32_OFFSET(pCoef + (ia * 2u)); - - ia = ia + twidCoefModifier; - - l = i + n2; - - T = _SIMD32_OFFSET(pSrc + (2 * i)); - in = ((int16_t) (T & 0xFFFF)) >> 2; - T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - S = _SIMD32_OFFSET(pSrc + (2 * l)); - in = ((int16_t) (S & 0xFFFF)) >> 2; - S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - R = __QSUB16(T, S); - - _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); - -#ifndef ARM_MATH_BIG_ENDIAN - - out1 = __SMUAD(coeff, R) >> 16; - out2 = __SMUSDX(coeff, R); - -#else - - out1 = __SMUSDX(R, coeff) >> 16u; - out2 = __SMUAD(coeff, R); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - _SIMD32_OFFSET(pSrc + (2u * l)) = - (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - coeff = _SIMD32_OFFSET(pCoef + (ia * 2u)); - - ia = ia + twidCoefModifier; - - // loop for butterfly - i++; - l++; - - T = _SIMD32_OFFSET(pSrc + (2 * i)); - in = ((int16_t) (T & 0xFFFF)) >> 2; - T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - S = _SIMD32_OFFSET(pSrc + (2 * l)); - in = ((int16_t) (S & 0xFFFF)) >> 2; - S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - R = __QSUB16(T, S); - - _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); - -#ifndef ARM_MATH_BIG_ENDIAN - - out1 = __SMUAD(coeff, R) >> 16; - out2 = __SMUSDX(coeff, R); - -#else - - out1 = __SMUSDX(R, coeff) >> 16u; - out2 = __SMUAD(coeff, R); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - _SIMD32_OFFSET(pSrc + (2u * l)) = - (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - } // groups loop end - - twidCoefModifier = twidCoefModifier << 1u; - - // loop for stage - for (k = fftLen / 2; k > 2; k = k >> 1) - { - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (j = 0; j < n2; j++) - { - coeff = _SIMD32_OFFSET(pCoef + (ia * 2u)); - - ia = ia + twidCoefModifier; - - // loop for butterfly - for (i = j; i < fftLen; i += n1) - { - l = i + n2; - - T = _SIMD32_OFFSET(pSrc + (2 * i)); - - S = _SIMD32_OFFSET(pSrc + (2 * l)); - - R = __QSUB16(T, S); - - _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); - -#ifndef ARM_MATH_BIG_ENDIAN - - out1 = __SMUAD(coeff, R) >> 16; - out2 = __SMUSDX(coeff, R); - -#else - - out1 = __SMUSDX(R, coeff) >> 16u; - out2 = __SMUAD(coeff, R); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - _SIMD32_OFFSET(pSrc + (2u * l)) = - (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - i += n1; - - l = i + n2; - - T = _SIMD32_OFFSET(pSrc + (2 * i)); - - S = _SIMD32_OFFSET(pSrc + (2 * l)); - - R = __QSUB16(T, S); - - _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); - -#ifndef ARM_MATH_BIG_ENDIAN - - out1 = __SMUAD(coeff, R) >> 16; - out2 = __SMUSDX(coeff, R); - -#else - - out1 = __SMUSDX(R, coeff) >> 16u; - out2 = __SMUAD(coeff, R); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - _SIMD32_OFFSET(pSrc + (2u * l)) = - (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - } // butterfly loop end - - } // groups loop end - - twidCoefModifier = twidCoefModifier << 1u; - } // stages loop end - - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - coeff = _SIMD32_OFFSET(pCoef + (ia * 2u)); - - ia = ia + twidCoefModifier; - - // loop for butterfly - for (i = 0; i < fftLen; i += n1) - { - l = i + n2; - - T = _SIMD32_OFFSET(pSrc + (2 * i)); - - S = _SIMD32_OFFSET(pSrc + (2 * l)); - - R = __QSUB16(T, S); - - _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S); - - _SIMD32_OFFSET(pSrc + (2u * l)) = R; - - i += n1; - l = i + n2; - - T = _SIMD32_OFFSET(pSrc + (2 * i)); - - S = _SIMD32_OFFSET(pSrc + (2 * l)); - - R = __QSUB16(T, S); - - _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S); - - _SIMD32_OFFSET(pSrc + (2u * l)) = R; - - } // groups loop end - - -#else - - unsigned i, j, k, l; - unsigned n1, n2, ia; - q15_t xt, yt, cosVal, sinVal; - - - //N = fftLen; - n2 = fftLen; - - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (j = 0; j < n2; j++) - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia = ia + twidCoefModifier; - - // loop for butterfly - for (i = j; i < fftLen; i += n1) - { - l = i + n2; - xt = (pSrc[2 * i] >> 2u) - (pSrc[2 * l] >> 2u); - pSrc[2 * i] = ((pSrc[2 * i] >> 2u) + (pSrc[2 * l] >> 2u)) >> 1u; - - yt = (pSrc[2 * i + 1] >> 2u) - (pSrc[2 * l + 1] >> 2u); - pSrc[2 * i + 1] = - ((pSrc[2 * l + 1] >> 2u) + (pSrc[2 * i + 1] >> 2u)) >> 1u; - - pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) + - ((int16_t) (((q31_t) yt * sinVal) >> 16))); - - pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) - - ((int16_t) (((q31_t) xt * sinVal) >> 16))); - - } // butterfly loop end - - } // groups loop end - - twidCoefModifier = twidCoefModifier << 1u; - - // loop for stage - for (k = fftLen / 2; k > 2; k = k >> 1) - { - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (j = 0; j < n2; j++) - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia = ia + twidCoefModifier; - - // loop for butterfly - for (i = j; i < fftLen; i += n1) - { - l = i + n2; - xt = pSrc[2 * i] - pSrc[2 * l]; - pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u; - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u; - - pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) + - ((int16_t) (((q31_t) yt * sinVal) >> 16))); - - pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) - - ((int16_t) (((q31_t) xt * sinVal) >> 16))); - - } // butterfly loop end - - } // groups loop end - - twidCoefModifier = twidCoefModifier << 1u; - } // stages loop end - - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (j = 0; j < n2; j++) - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - - ia = ia + twidCoefModifier; - - // loop for butterfly - for (i = j; i < fftLen; i += n1) - { - l = i + n2; - xt = pSrc[2 * i] - pSrc[2 * l]; - pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); - - pSrc[2u * l] = xt; - - pSrc[2u * l + 1u] = yt; - - } // butterfly loop end - - } // groups loop end - - twidCoefModifier = twidCoefModifier << 1u; - -#endif // #ifndef ARM_MATH_CM0_FAMILY - -} - - -void arm_radix2_butterfly_inverse_q15( - q15_t * pSrc, - uint32_t fftLen, - q15_t * pCoef, - uint16_t twidCoefModifier) -{ -#ifndef ARM_MATH_CM0_FAMILY - - unsigned i, j, k, l; - unsigned n1, n2, ia; - q15_t in; - q31_t T, S, R; - q31_t coeff, out1, out2; - - //N = fftLen; - n2 = fftLen; - - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (i = 0; i < n2; i++) - { - coeff = _SIMD32_OFFSET(pCoef + (ia * 2u)); - - ia = ia + twidCoefModifier; - - l = i + n2; - - T = _SIMD32_OFFSET(pSrc + (2 * i)); - in = ((int16_t) (T & 0xFFFF)) >> 2; - T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - S = _SIMD32_OFFSET(pSrc + (2 * l)); - in = ((int16_t) (S & 0xFFFF)) >> 2; - S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - R = __QSUB16(T, S); - - _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); - -#ifndef ARM_MATH_BIG_ENDIAN - - out1 = __SMUSD(coeff, R) >> 16; - out2 = __SMUADX(coeff, R); -#else - - out1 = __SMUADX(R, coeff) >> 16u; - out2 = __SMUSD(__QSUB(0, coeff), R); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - _SIMD32_OFFSET(pSrc + (2u * l)) = - (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - coeff = _SIMD32_OFFSET(pCoef + (ia * 2u)); - - ia = ia + twidCoefModifier; - - // loop for butterfly - i++; - l++; - - T = _SIMD32_OFFSET(pSrc + (2 * i)); - in = ((int16_t) (T & 0xFFFF)) >> 2; - T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - S = _SIMD32_OFFSET(pSrc + (2 * l)); - in = ((int16_t) (S & 0xFFFF)) >> 2; - S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - R = __QSUB16(T, S); - - _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); - -#ifndef ARM_MATH_BIG_ENDIAN - - out1 = __SMUSD(coeff, R) >> 16; - out2 = __SMUADX(coeff, R); -#else - - out1 = __SMUADX(R, coeff) >> 16u; - out2 = __SMUSD(__QSUB(0, coeff), R); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - _SIMD32_OFFSET(pSrc + (2u * l)) = - (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - } // groups loop end - - twidCoefModifier = twidCoefModifier << 1u; - - // loop for stage - for (k = fftLen / 2; k > 2; k = k >> 1) - { - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (j = 0; j < n2; j++) - { - coeff = _SIMD32_OFFSET(pCoef + (ia * 2u)); - - ia = ia + twidCoefModifier; - - // loop for butterfly - for (i = j; i < fftLen; i += n1) - { - l = i + n2; - - T = _SIMD32_OFFSET(pSrc + (2 * i)); - - S = _SIMD32_OFFSET(pSrc + (2 * l)); - - R = __QSUB16(T, S); - - _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); - -#ifndef ARM_MATH_BIG_ENDIAN - - out1 = __SMUSD(coeff, R) >> 16; - out2 = __SMUADX(coeff, R); - -#else - - out1 = __SMUADX(R, coeff) >> 16u; - out2 = __SMUSD(__QSUB(0, coeff), R); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - _SIMD32_OFFSET(pSrc + (2u * l)) = - (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - i += n1; - - l = i + n2; - - T = _SIMD32_OFFSET(pSrc + (2 * i)); - - S = _SIMD32_OFFSET(pSrc + (2 * l)); - - R = __QSUB16(T, S); - - _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); - -#ifndef ARM_MATH_BIG_ENDIAN - - out1 = __SMUSD(coeff, R) >> 16; - out2 = __SMUADX(coeff, R); -#else - - out1 = __SMUADX(R, coeff) >> 16u; - out2 = __SMUSD(__QSUB(0, coeff), R); - -#endif // #ifndef ARM_MATH_BIG_ENDIAN - - _SIMD32_OFFSET(pSrc + (2u * l)) = - (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - } // butterfly loop end - - } // groups loop end - - twidCoefModifier = twidCoefModifier << 1u; - } // stages loop end - - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (j = 0; j < n2; j++) - { - coeff = _SIMD32_OFFSET(pCoef + (ia * 2u)); - - ia = ia + twidCoefModifier; - - // loop for butterfly - for (i = j; i < fftLen; i += n1) - { - l = i + n2; - - T = _SIMD32_OFFSET(pSrc + (2 * i)); - - S = _SIMD32_OFFSET(pSrc + (2 * l)); - - R = __QSUB16(T, S); - - _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S); - - _SIMD32_OFFSET(pSrc + (2u * l)) = R; - - } // butterfly loop end - - } // groups loop end - - twidCoefModifier = twidCoefModifier << 1u; - -#else - - - unsigned i, j, k, l; - unsigned n1, n2, ia; - q15_t xt, yt, cosVal, sinVal; - - //N = fftLen; - n2 = fftLen; - - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (j = 0; j < n2; j++) - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia = ia + twidCoefModifier; - - // loop for butterfly - for (i = j; i < fftLen; i += n1) - { - l = i + n2; - xt = (pSrc[2 * i] >> 2u) - (pSrc[2 * l] >> 2u); - pSrc[2 * i] = ((pSrc[2 * i] >> 2u) + (pSrc[2 * l] >> 2u)) >> 1u; - - yt = (pSrc[2 * i + 1] >> 2u) - (pSrc[2 * l + 1] >> 2u); - pSrc[2 * i + 1] = - ((pSrc[2 * l + 1] >> 2u) + (pSrc[2 * i + 1] >> 2u)) >> 1u; - - pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) - - ((int16_t) (((q31_t) yt * sinVal) >> 16))); - - pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) + - ((int16_t) (((q31_t) xt * sinVal) >> 16))); - - } // butterfly loop end - - } // groups loop end - - twidCoefModifier = twidCoefModifier << 1u; - - // loop for stage - for (k = fftLen / 2; k > 2; k = k >> 1) - { - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (j = 0; j < n2; j++) - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia = ia + twidCoefModifier; - - // loop for butterfly - for (i = j; i < fftLen; i += n1) - { - l = i + n2; - xt = pSrc[2 * i] - pSrc[2 * l]; - pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u; - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u; - - pSrc[2u * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) - - ((int16_t) (((q31_t) yt * sinVal) >> 16))); - - pSrc[2u * l + 1u] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) + - ((int16_t) (((q31_t) xt * sinVal) >> 16))); - - } // butterfly loop end - - } // groups loop end - - twidCoefModifier = twidCoefModifier << 1u; - } // stages loop end - - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - - ia = ia + twidCoefModifier; - - // loop for butterfly - for (i = 0; i < fftLen; i += n1) - { - l = i + n2; - xt = pSrc[2 * i] - pSrc[2 * l]; - pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); - - pSrc[2u * l] = xt; - - pSrc[2u * l + 1u] = yt; - - } // groups loop end - - -#endif // #ifndef ARM_MATH_CM0_FAMILY - -}
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix2_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,350 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_radix2_q31.c -* -* Description: Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function -* -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -void arm_radix2_butterfly_q31( - q31_t * pSrc, - uint32_t fftLen, - q31_t * pCoef, - uint16_t twidCoefModifier); - -void arm_radix2_butterfly_inverse_q31( - q31_t * pSrc, - uint32_t fftLen, - q31_t * pCoef, - uint16_t twidCoefModifier); - -void arm_bitreversal_q31( - q31_t * pSrc, - uint32_t fftLen, - uint16_t bitRevFactor, - uint16_t * pBitRevTab); - -/** -* @ingroup groupTransforms -*/ - -/** -* @addtogroup ComplexFFT -* @{ -*/ - -/** -* @details -* @brief Processing function for the fixed-point CFFT/CIFFT. -* @param[in] *S points to an instance of the fixed-point CFFT/CIFFT structure. -* @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. -* @return none. -*/ - -void arm_cfft_radix2_q31( -const arm_cfft_radix2_instance_q31 * S, -q31_t * pSrc) -{ - - if(S->ifftFlag == 1u) - { - arm_radix2_butterfly_inverse_q31(pSrc, S->fftLen, - S->pTwiddle, S->twidCoefModifier); - } - else - { - arm_radix2_butterfly_q31(pSrc, S->fftLen, - S->pTwiddle, S->twidCoefModifier); - } - - arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); -} - -/** -* @} end of ComplexFFT group -*/ - -void arm_radix2_butterfly_q31( -q31_t * pSrc, -uint32_t fftLen, -q31_t * pCoef, -uint16_t twidCoefModifier) -{ - - unsigned i, j, k, l, m; - unsigned n1, n2, ia; - q31_t xt, yt, cosVal, sinVal; - q31_t p0, p1; - - //N = fftLen; - n2 = fftLen; - - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (i = 0; i < n2; i++) - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia = ia + twidCoefModifier; - - l = i + n2; - xt = (pSrc[2 * i] >> 2u) - (pSrc[2 * l] >> 2u); - pSrc[2 * i] = ((pSrc[2 * i] >> 2u) + (pSrc[2 * l] >> 2u)) >> 1u; - - yt = (pSrc[2 * i + 1] >> 2u) - (pSrc[2 * l + 1] >> 2u); - pSrc[2 * i + 1] = - ((pSrc[2 * l + 1] >> 2u) + (pSrc[2 * i + 1] >> 2u)) >> 1u; - - mult_32x32_keep32_R(p0, xt, cosVal); - mult_32x32_keep32_R(p1, yt, cosVal); - multAcc_32x32_keep32_R(p0, yt, sinVal); - multSub_32x32_keep32_R(p1, xt, sinVal); - - pSrc[2u * l] = p0; - pSrc[2u * l + 1u] = p1; - - } // groups loop end - - twidCoefModifier <<= 1u; - - // loop for stage - for (k = fftLen / 2; k > 2; k = k >> 1) - { - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (j = 0; j < n2; j++) - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia = ia + twidCoefModifier; - - // loop for butterfly - i = j; - m = fftLen / n1; - do - { - l = i + n2; - xt = pSrc[2 * i] - pSrc[2 * l]; - pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u; - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u; - - mult_32x32_keep32_R(p0, xt, cosVal); - mult_32x32_keep32_R(p1, yt, cosVal); - multAcc_32x32_keep32_R(p0, yt, sinVal); - multSub_32x32_keep32_R(p1, xt, sinVal); - - pSrc[2u * l] = p0; - pSrc[2u * l + 1u] = p1; - i += n1; - m--; - } while( m > 0); // butterfly loop end - - } // groups loop end - - twidCoefModifier <<= 1u; - } // stages loop end - - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia = ia + twidCoefModifier; - - // loop for butterfly - for (i = 0; i < fftLen; i += n1) - { - l = i + n2; - xt = pSrc[2 * i] - pSrc[2 * l]; - pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); - - pSrc[2u * l] = xt; - - pSrc[2u * l + 1u] = yt; - - i += n1; - l = i + n2; - - xt = pSrc[2 * i] - pSrc[2 * l]; - pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); - - pSrc[2u * l] = xt; - - pSrc[2u * l + 1u] = yt; - - } // butterfly loop end - -} - - -void arm_radix2_butterfly_inverse_q31( -q31_t * pSrc, -uint32_t fftLen, -q31_t * pCoef, -uint16_t twidCoefModifier) -{ - - unsigned i, j, k, l; - unsigned n1, n2, ia; - q31_t xt, yt, cosVal, sinVal; - q31_t p0, p1; - - //N = fftLen; - n2 = fftLen; - - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (i = 0; i < n2; i++) - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia = ia + twidCoefModifier; - - l = i + n2; - xt = (pSrc[2 * i] >> 2u) - (pSrc[2 * l] >> 2u); - pSrc[2 * i] = ((pSrc[2 * i] >> 2u) + (pSrc[2 * l] >> 2u)) >> 1u; - - yt = (pSrc[2 * i + 1] >> 2u) - (pSrc[2 * l + 1] >> 2u); - pSrc[2 * i + 1] = - ((pSrc[2 * l + 1] >> 2u) + (pSrc[2 * i + 1] >> 2u)) >> 1u; - - mult_32x32_keep32_R(p0, xt, cosVal); - mult_32x32_keep32_R(p1, yt, cosVal); - multSub_32x32_keep32_R(p0, yt, sinVal); - multAcc_32x32_keep32_R(p1, xt, sinVal); - - pSrc[2u * l] = p0; - pSrc[2u * l + 1u] = p1; - } // groups loop end - - twidCoefModifier = twidCoefModifier << 1u; - - // loop for stage - for (k = fftLen / 2; k > 2; k = k >> 1) - { - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - // loop for groups - for (j = 0; j < n2; j++) - { - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia = ia + twidCoefModifier; - - // loop for butterfly - for (i = j; i < fftLen; i += n1) - { - l = i + n2; - xt = pSrc[2 * i] - pSrc[2 * l]; - pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1u; - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1u; - - mult_32x32_keep32_R(p0, xt, cosVal); - mult_32x32_keep32_R(p1, yt, cosVal); - multSub_32x32_keep32_R(p0, yt, sinVal); - multAcc_32x32_keep32_R(p1, xt, sinVal); - - pSrc[2u * l] = p0; - pSrc[2u * l + 1u] = p1; - } // butterfly loop end - - } // groups loop end - - twidCoefModifier = twidCoefModifier << 1u; - } // stages loop end - - n1 = n2; - n2 = n2 >> 1; - ia = 0; - - cosVal = pCoef[ia * 2]; - sinVal = pCoef[(ia * 2) + 1]; - ia = ia + twidCoefModifier; - - // loop for butterfly - for (i = 0; i < fftLen; i += n1) - { - l = i + n2; - xt = pSrc[2 * i] - pSrc[2 * l]; - pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); - - pSrc[2u * l] = xt; - - pSrc[2u * l + 1u] = yt; - - i += n1; - l = i + n2; - - xt = pSrc[2 * i] - pSrc[2 * l]; - pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); - - yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; - pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); - - pSrc[2u * l] = xt; - - pSrc[2u * l + 1u] = yt; - - } // butterfly loop end - -}
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix4_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,1210 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_radix4_f32.c -* -* Description: Radix-4 Decimation in Frequency CFFT & CIFFT Floating point processing function -* -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -extern void arm_bitreversal_f32( -float32_t * pSrc, -uint16_t fftSize, -uint16_t bitRevFactor, -uint16_t * pBitRevTab); - -/** -* @ingroup groupTransforms -*/ - -/* ---------------------------------------------------------------------- -** Internal helper function used by the FFTs -** ------------------------------------------------------------------- */ - -/* -* @brief Core function for the floating-point CFFT butterfly process. -* @param[in, out] *pSrc points to the in-place buffer of floating-point data type. -* @param[in] fftLen length of the FFT. -* @param[in] *pCoef points to the twiddle coefficient buffer. -* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. -* @return none. -*/ - -void arm_radix4_butterfly_f32( -float32_t * pSrc, -uint16_t fftLen, -float32_t * pCoef, -uint16_t twidCoefModifier) -{ - - float32_t co1, co2, co3, si1, si2, si3; - uint32_t ia1, ia2, ia3; - uint32_t i0, i1, i2, i3; - uint32_t n1, n2, j, k; - -#ifndef ARM_MATH_CM0_FAMILY_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn; - float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc, - Ybminusd; - float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out; - float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out; - float32_t *ptr1; - float32_t p0,p1,p2,p3,p4,p5; - float32_t a0,a1,a2,a3,a4,a5,a6,a7; - - /* Initializations for the first stage */ - n2 = fftLen; - n1 = n2; - - /* n2 = fftLen/4 */ - n2 >>= 2u; - i0 = 0u; - ia1 = 0u; - - j = n2; - - /* Calculation of first stage */ - do - { - /* index calculation for the input as, */ - /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - xaIn = pSrc[(2u * i0)]; - yaIn = pSrc[(2u * i0) + 1u]; - - xbIn = pSrc[(2u * i1)]; - ybIn = pSrc[(2u * i1) + 1u]; - - xcIn = pSrc[(2u * i2)]; - ycIn = pSrc[(2u * i2) + 1u]; - - xdIn = pSrc[(2u * i3)]; - ydIn = pSrc[(2u * i3) + 1u]; - - /* xa + xc */ - Xaplusc = xaIn + xcIn; - /* xb + xd */ - Xbplusd = xbIn + xdIn; - /* ya + yc */ - Yaplusc = yaIn + ycIn; - /* yb + yd */ - Ybplusd = ybIn + ydIn; - - /* index calculation for the coefficients */ - ia2 = ia1 + ia1; - co2 = pCoef[ia2 * 2u]; - si2 = pCoef[(ia2 * 2u) + 1u]; - - /* xa - xc */ - Xaminusc = xaIn - xcIn; - /* xb - xd */ - Xbminusd = xbIn - xdIn; - /* ya - yc */ - Yaminusc = yaIn - ycIn; - /* yb - yd */ - Ybminusd = ybIn - ydIn; - - /* xa' = xa + xb + xc + xd */ - pSrc[(2u * i0)] = Xaplusc + Xbplusd; - /* ya' = ya + yb + yc + yd */ - pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd; - - /* (xa - xc) + (yb - yd) */ - Xb12C_out = (Xaminusc + Ybminusd); - /* (ya - yc) + (xb - xd) */ - Yb12C_out = (Yaminusc - Xbminusd); - /* (xa + xc) - (xb + xd) */ - Xc12C_out = (Xaplusc - Xbplusd); - /* (ya + yc) - (yb + yd) */ - Yc12C_out = (Yaplusc - Ybplusd); - /* (xa - xc) - (yb - yd) */ - Xd12C_out = (Xaminusc - Ybminusd); - /* (ya - yc) + (xb - xd) */ - Yd12C_out = (Xbminusd + Yaminusc); - - co1 = pCoef[ia1 * 2u]; - si1 = pCoef[(ia1 * 2u) + 1u]; - - /* index calculation for the coefficients */ - ia3 = ia2 + ia1; - co3 = pCoef[ia3 * 2u]; - si3 = pCoef[(ia3 * 2u) + 1u]; - - Xb12_out = Xb12C_out * co1; - Yb12_out = Yb12C_out * co1; - Xc12_out = Xc12C_out * co2; - Yc12_out = Yc12C_out * co2; - Xd12_out = Xd12C_out * co3; - Yd12_out = Yd12C_out * co3; - - /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ - //Xb12_out -= Yb12C_out * si1; - p0 = Yb12C_out * si1; - /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ - //Yb12_out += Xb12C_out * si1; - p1 = Xb12C_out * si1; - /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ - //Xc12_out -= Yc12C_out * si2; - p2 = Yc12C_out * si2; - /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ - //Yc12_out += Xc12C_out * si2; - p3 = Xc12C_out * si2; - /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ - //Xd12_out -= Yd12C_out * si3; - p4 = Yd12C_out * si3; - /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ - //Yd12_out += Xd12C_out * si3; - p5 = Xd12C_out * si3; - - Xb12_out += p0; - Yb12_out -= p1; - Xc12_out += p2; - Yc12_out -= p3; - Xd12_out += p4; - Yd12_out -= p5; - - /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ - pSrc[2u * i1] = Xc12_out; - - /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ - pSrc[(2u * i1) + 1u] = Yc12_out; - - /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ - pSrc[2u * i2] = Xb12_out; - - /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ - pSrc[(2u * i2) + 1u] = Yb12_out; - - /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ - pSrc[2u * i3] = Xd12_out; - - /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ - pSrc[(2u * i3) + 1u] = Yd12_out; - - /* Twiddle coefficients index modifier */ - ia1 += twidCoefModifier; - - /* Updating input index */ - i0++; - - } - while(--j); - - twidCoefModifier <<= 2u; - - /* Calculation of second stage to excluding last stage */ - for (k = fftLen >> 2u; k > 4u; k >>= 2u) - { - /* Initializations for the first stage */ - n1 = n2; - n2 >>= 2u; - ia1 = 0u; - - /* Calculation of first stage */ - j = 0; - do - { - /* index calculation for the coefficients */ - ia2 = ia1 + ia1; - ia3 = ia2 + ia1; - co1 = pCoef[ia1 * 2u]; - si1 = pCoef[(ia1 * 2u) + 1u]; - co2 = pCoef[ia2 * 2u]; - si2 = pCoef[(ia2 * 2u) + 1u]; - co3 = pCoef[ia3 * 2u]; - si3 = pCoef[(ia3 * 2u) + 1u]; - - /* Twiddle coefficients index modifier */ - ia1 += twidCoefModifier; - - i0 = j; - do - { - /* index calculation for the input as, */ - /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - xaIn = pSrc[(2u * i0)]; - yaIn = pSrc[(2u * i0) + 1u]; - - xbIn = pSrc[(2u * i1)]; - ybIn = pSrc[(2u * i1) + 1u]; - - xcIn = pSrc[(2u * i2)]; - ycIn = pSrc[(2u * i2) + 1u]; - - xdIn = pSrc[(2u * i3)]; - ydIn = pSrc[(2u * i3) + 1u]; - - /* xa - xc */ - Xaminusc = xaIn - xcIn; - /* (xb - xd) */ - Xbminusd = xbIn - xdIn; - /* ya - yc */ - Yaminusc = yaIn - ycIn; - /* (yb - yd) */ - Ybminusd = ybIn - ydIn; - - /* xa + xc */ - Xaplusc = xaIn + xcIn; - /* xb + xd */ - Xbplusd = xbIn + xdIn; - /* ya + yc */ - Yaplusc = yaIn + ycIn; - /* yb + yd */ - Ybplusd = ybIn + ydIn; - - /* (xa - xc) + (yb - yd) */ - Xb12C_out = (Xaminusc + Ybminusd); - /* (ya - yc) - (xb - xd) */ - Yb12C_out = (Yaminusc - Xbminusd); - /* xa + xc -(xb + xd) */ - Xc12C_out = (Xaplusc - Xbplusd); - /* (ya + yc) - (yb + yd) */ - Yc12C_out = (Yaplusc - Ybplusd); - /* (xa - xc) - (yb - yd) */ - Xd12C_out = (Xaminusc - Ybminusd); - /* (ya - yc) + (xb - xd) */ - Yd12C_out = (Xbminusd + Yaminusc); - - pSrc[(2u * i0)] = Xaplusc + Xbplusd; - pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd; - - Xb12_out = Xb12C_out * co1; - Yb12_out = Yb12C_out * co1; - Xc12_out = Xc12C_out * co2; - Yc12_out = Yc12C_out * co2; - Xd12_out = Xd12C_out * co3; - Yd12_out = Yd12C_out * co3; - - /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ - //Xb12_out -= Yb12C_out * si1; - p0 = Yb12C_out * si1; - /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ - //Yb12_out += Xb12C_out * si1; - p1 = Xb12C_out * si1; - /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ - //Xc12_out -= Yc12C_out * si2; - p2 = Yc12C_out * si2; - /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ - //Yc12_out += Xc12C_out * si2; - p3 = Xc12C_out * si2; - /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ - //Xd12_out -= Yd12C_out * si3; - p4 = Yd12C_out * si3; - /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ - //Yd12_out += Xd12C_out * si3; - p5 = Xd12C_out * si3; - - Xb12_out += p0; - Yb12_out -= p1; - Xc12_out += p2; - Yc12_out -= p3; - Xd12_out += p4; - Yd12_out -= p5; - - /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ - pSrc[2u * i1] = Xc12_out; - - /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ - pSrc[(2u * i1) + 1u] = Yc12_out; - - /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ - pSrc[2u * i2] = Xb12_out; - - /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ - pSrc[(2u * i2) + 1u] = Yb12_out; - - /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ - pSrc[2u * i3] = Xd12_out; - - /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ - pSrc[(2u * i3) + 1u] = Yd12_out; - - i0 += n1; - } while(i0 < fftLen); - j++; - } while(j <= (n2 - 1u)); - twidCoefModifier <<= 2u; - } - - j = fftLen >> 2; - ptr1 = &pSrc[0]; - - /* Calculations of last stage */ - do - { - xaIn = ptr1[0]; - yaIn = ptr1[1]; - xbIn = ptr1[2]; - ybIn = ptr1[3]; - xcIn = ptr1[4]; - ycIn = ptr1[5]; - xdIn = ptr1[6]; - ydIn = ptr1[7]; - - /* xa + xc */ - Xaplusc = xaIn + xcIn; - - /* xa - xc */ - Xaminusc = xaIn - xcIn; - - /* ya + yc */ - Yaplusc = yaIn + ycIn; - - /* ya - yc */ - Yaminusc = yaIn - ycIn; - - /* xb + xd */ - Xbplusd = xbIn + xdIn; - - /* yb + yd */ - Ybplusd = ybIn + ydIn; - - /* (xb-xd) */ - Xbminusd = xbIn - xdIn; - - /* (yb-yd) */ - Ybminusd = ybIn - ydIn; - - /* xa' = xa + xb + xc + xd */ - a0 = (Xaplusc + Xbplusd); - /* ya' = ya + yb + yc + yd */ - a1 = (Yaplusc + Ybplusd); - /* xc' = (xa-xb+xc-xd) */ - a2 = (Xaplusc - Xbplusd); - /* yc' = (ya-yb+yc-yd) */ - a3 = (Yaplusc - Ybplusd); - /* xb' = (xa+yb-xc-yd) */ - a4 = (Xaminusc + Ybminusd); - /* yb' = (ya-xb-yc+xd) */ - a5 = (Yaminusc - Xbminusd); - /* xd' = (xa-yb-xc+yd)) */ - a6 = (Xaminusc - Ybminusd); - /* yd' = (ya+xb-yc-xd) */ - a7 = (Xbminusd + Yaminusc); - - ptr1[0] = a0; - ptr1[1] = a1; - ptr1[2] = a2; - ptr1[3] = a3; - ptr1[4] = a4; - ptr1[5] = a5; - ptr1[6] = a6; - ptr1[7] = a7; - - /* increment pointer by 8 */ - ptr1 += 8u; - } while(--j); - -#else - - float32_t t1, t2, r1, r2, s1, s2; - - /* Run the below code for Cortex-M0 */ - - /* Initializations for the fft calculation */ - n2 = fftLen; - n1 = n2; - for (k = fftLen; k > 1u; k >>= 2u) - { - /* Initializations for the fft calculation */ - n1 = n2; - n2 >>= 2u; - ia1 = 0u; - - /* FFT Calculation */ - j = 0; - do - { - /* index calculation for the coefficients */ - ia2 = ia1 + ia1; - ia3 = ia2 + ia1; - co1 = pCoef[ia1 * 2u]; - si1 = pCoef[(ia1 * 2u) + 1u]; - co2 = pCoef[ia2 * 2u]; - si2 = pCoef[(ia2 * 2u) + 1u]; - co3 = pCoef[ia3 * 2u]; - si3 = pCoef[(ia3 * 2u) + 1u]; - - /* Twiddle coefficients index modifier */ - ia1 = ia1 + twidCoefModifier; - - i0 = j; - do - { - /* index calculation for the input as, */ - /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* xa + xc */ - r1 = pSrc[(2u * i0)] + pSrc[(2u * i2)]; - - /* xa - xc */ - r2 = pSrc[(2u * i0)] - pSrc[(2u * i2)]; - - /* ya + yc */ - s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u]; - - /* ya - yc */ - s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u]; - - /* xb + xd */ - t1 = pSrc[2u * i1] + pSrc[2u * i3]; - - /* xa' = xa + xb + xc + xd */ - pSrc[2u * i0] = r1 + t1; - - /* xa + xc -(xb + xd) */ - r1 = r1 - t1; - - /* yb + yd */ - t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u]; - - /* ya' = ya + yb + yc + yd */ - pSrc[(2u * i0) + 1u] = s1 + t2; - - /* (ya + yc) - (yb + yd) */ - s1 = s1 - t2; - - /* (yb - yd) */ - t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u]; - - /* (xb - xd) */ - t2 = pSrc[2u * i1] - pSrc[2u * i3]; - - /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ - pSrc[2u * i1] = (r1 * co2) + (s1 * si2); - - /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ - pSrc[(2u * i1) + 1u] = (s1 * co2) - (r1 * si2); - - /* (xa - xc) + (yb - yd) */ - r1 = r2 + t1; - - /* (xa - xc) - (yb - yd) */ - r2 = r2 - t1; - - /* (ya - yc) - (xb - xd) */ - s1 = s2 - t2; - - /* (ya - yc) + (xb - xd) */ - s2 = s2 + t2; - - /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ - pSrc[2u * i2] = (r1 * co1) + (s1 * si1); - - /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ - pSrc[(2u * i2) + 1u] = (s1 * co1) - (r1 * si1); - - /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ - pSrc[2u * i3] = (r2 * co3) + (s2 * si3); - - /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ - pSrc[(2u * i3) + 1u] = (s2 * co3) - (r2 * si3); - - i0 += n1; - } while( i0 < fftLen); - j++; - } while(j <= (n2 - 1u)); - twidCoefModifier <<= 2u; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY_FAMILY */ - -} - -/* -* @brief Core function for the floating-point CIFFT butterfly process. -* @param[in, out] *pSrc points to the in-place buffer of floating-point data type. -* @param[in] fftLen length of the FFT. -* @param[in] *pCoef points to twiddle coefficient buffer. -* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. -* @param[in] onebyfftLen value of 1/fftLen. -* @return none. -*/ - -void arm_radix4_butterfly_inverse_f32( -float32_t * pSrc, -uint16_t fftLen, -float32_t * pCoef, -uint16_t twidCoefModifier, -float32_t onebyfftLen) -{ - float32_t co1, co2, co3, si1, si2, si3; - uint32_t ia1, ia2, ia3; - uint32_t i0, i1, i2, i3; - uint32_t n1, n2, j, k; - -#ifndef ARM_MATH_CM0_FAMILY_FAMILY - - float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn; - float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc, - Ybminusd; - float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out; - float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out; - float32_t *ptr1; - float32_t p0,p1,p2,p3,p4,p5,p6,p7; - float32_t a0,a1,a2,a3,a4,a5,a6,a7; - - - /* Initializations for the first stage */ - n2 = fftLen; - n1 = n2; - - /* n2 = fftLen/4 */ - n2 >>= 2u; - i0 = 0u; - ia1 = 0u; - - j = n2; - - /* Calculation of first stage */ - do - { - /* index calculation for the input as, */ - /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Butterfly implementation */ - xaIn = pSrc[(2u * i0)]; - yaIn = pSrc[(2u * i0) + 1u]; - - xcIn = pSrc[(2u * i2)]; - ycIn = pSrc[(2u * i2) + 1u]; - - xbIn = pSrc[(2u * i1)]; - ybIn = pSrc[(2u * i1) + 1u]; - - xdIn = pSrc[(2u * i3)]; - ydIn = pSrc[(2u * i3) + 1u]; - - /* xa + xc */ - Xaplusc = xaIn + xcIn; - /* xb + xd */ - Xbplusd = xbIn + xdIn; - /* ya + yc */ - Yaplusc = yaIn + ycIn; - /* yb + yd */ - Ybplusd = ybIn + ydIn; - - /* index calculation for the coefficients */ - ia2 = ia1 + ia1; - co2 = pCoef[ia2 * 2u]; - si2 = pCoef[(ia2 * 2u) + 1u]; - - /* xa - xc */ - Xaminusc = xaIn - xcIn; - /* xb - xd */ - Xbminusd = xbIn - xdIn; - /* ya - yc */ - Yaminusc = yaIn - ycIn; - /* yb - yd */ - Ybminusd = ybIn - ydIn; - - /* xa' = xa + xb + xc + xd */ - pSrc[(2u * i0)] = Xaplusc + Xbplusd; - - /* ya' = ya + yb + yc + yd */ - pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd; - - /* (xa - xc) - (yb - yd) */ - Xb12C_out = (Xaminusc - Ybminusd); - /* (ya - yc) + (xb - xd) */ - Yb12C_out = (Yaminusc + Xbminusd); - /* (xa + xc) - (xb + xd) */ - Xc12C_out = (Xaplusc - Xbplusd); - /* (ya + yc) - (yb + yd) */ - Yc12C_out = (Yaplusc - Ybplusd); - /* (xa - xc) + (yb - yd) */ - Xd12C_out = (Xaminusc + Ybminusd); - /* (ya - yc) - (xb - xd) */ - Yd12C_out = (Yaminusc - Xbminusd); - - co1 = pCoef[ia1 * 2u]; - si1 = pCoef[(ia1 * 2u) + 1u]; - - /* index calculation for the coefficients */ - ia3 = ia2 + ia1; - co3 = pCoef[ia3 * 2u]; - si3 = pCoef[(ia3 * 2u) + 1u]; - - Xb12_out = Xb12C_out * co1; - Yb12_out = Yb12C_out * co1; - Xc12_out = Xc12C_out * co2; - Yc12_out = Yc12C_out * co2; - Xd12_out = Xd12C_out * co3; - Yd12_out = Yd12C_out * co3; - - /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ - //Xb12_out -= Yb12C_out * si1; - p0 = Yb12C_out * si1; - /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ - //Yb12_out += Xb12C_out * si1; - p1 = Xb12C_out * si1; - /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ - //Xc12_out -= Yc12C_out * si2; - p2 = Yc12C_out * si2; - /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ - //Yc12_out += Xc12C_out * si2; - p3 = Xc12C_out * si2; - /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ - //Xd12_out -= Yd12C_out * si3; - p4 = Yd12C_out * si3; - /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ - //Yd12_out += Xd12C_out * si3; - p5 = Xd12C_out * si3; - - Xb12_out -= p0; - Yb12_out += p1; - Xc12_out -= p2; - Yc12_out += p3; - Xd12_out -= p4; - Yd12_out += p5; - - /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ - pSrc[2u * i1] = Xc12_out; - - /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ - pSrc[(2u * i1) + 1u] = Yc12_out; - - /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ - pSrc[2u * i2] = Xb12_out; - - /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ - pSrc[(2u * i2) + 1u] = Yb12_out; - - /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ - pSrc[2u * i3] = Xd12_out; - - /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ - pSrc[(2u * i3) + 1u] = Yd12_out; - - /* Twiddle coefficients index modifier */ - ia1 = ia1 + twidCoefModifier; - - /* Updating input index */ - i0 = i0 + 1u; - - } while(--j); - - twidCoefModifier <<= 2u; - - /* Calculation of second stage to excluding last stage */ - for (k = fftLen >> 2u; k > 4u; k >>= 2u) - { - /* Initializations for the first stage */ - n1 = n2; - n2 >>= 2u; - ia1 = 0u; - - /* Calculation of first stage */ - j = 0; - do - { - /* index calculation for the coefficients */ - ia2 = ia1 + ia1; - ia3 = ia2 + ia1; - co1 = pCoef[ia1 * 2u]; - si1 = pCoef[(ia1 * 2u) + 1u]; - co2 = pCoef[ia2 * 2u]; - si2 = pCoef[(ia2 * 2u) + 1u]; - co3 = pCoef[ia3 * 2u]; - si3 = pCoef[(ia3 * 2u) + 1u]; - - /* Twiddle coefficients index modifier */ - ia1 = ia1 + twidCoefModifier; - - i0 = j; - do - { - /* index calculation for the input as, */ - /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - xaIn = pSrc[(2u * i0)]; - yaIn = pSrc[(2u * i0) + 1u]; - - xbIn = pSrc[(2u * i1)]; - ybIn = pSrc[(2u * i1) + 1u]; - - xcIn = pSrc[(2u * i2)]; - ycIn = pSrc[(2u * i2) + 1u]; - - xdIn = pSrc[(2u * i3)]; - ydIn = pSrc[(2u * i3) + 1u]; - - /* xa - xc */ - Xaminusc = xaIn - xcIn; - /* (xb - xd) */ - Xbminusd = xbIn - xdIn; - /* ya - yc */ - Yaminusc = yaIn - ycIn; - /* (yb - yd) */ - Ybminusd = ybIn - ydIn; - - /* xa + xc */ - Xaplusc = xaIn + xcIn; - /* xb + xd */ - Xbplusd = xbIn + xdIn; - /* ya + yc */ - Yaplusc = yaIn + ycIn; - /* yb + yd */ - Ybplusd = ybIn + ydIn; - - /* (xa - xc) - (yb - yd) */ - Xb12C_out = (Xaminusc - Ybminusd); - /* (ya - yc) + (xb - xd) */ - Yb12C_out = (Yaminusc + Xbminusd); - /* xa + xc -(xb + xd) */ - Xc12C_out = (Xaplusc - Xbplusd); - /* (ya + yc) - (yb + yd) */ - Yc12C_out = (Yaplusc - Ybplusd); - /* (xa - xc) + (yb - yd) */ - Xd12C_out = (Xaminusc + Ybminusd); - /* (ya - yc) - (xb - xd) */ - Yd12C_out = (Yaminusc - Xbminusd); - - pSrc[(2u * i0)] = Xaplusc + Xbplusd; - pSrc[(2u * i0) + 1u] = Yaplusc + Ybplusd; - - Xb12_out = Xb12C_out * co1; - Yb12_out = Yb12C_out * co1; - Xc12_out = Xc12C_out * co2; - Yc12_out = Yc12C_out * co2; - Xd12_out = Xd12C_out * co3; - Yd12_out = Yd12C_out * co3; - - /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ - //Xb12_out -= Yb12C_out * si1; - p0 = Yb12C_out * si1; - /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ - //Yb12_out += Xb12C_out * si1; - p1 = Xb12C_out * si1; - /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ - //Xc12_out -= Yc12C_out * si2; - p2 = Yc12C_out * si2; - /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ - //Yc12_out += Xc12C_out * si2; - p3 = Xc12C_out * si2; - /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ - //Xd12_out -= Yd12C_out * si3; - p4 = Yd12C_out * si3; - /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ - //Yd12_out += Xd12C_out * si3; - p5 = Xd12C_out * si3; - - Xb12_out -= p0; - Yb12_out += p1; - Xc12_out -= p2; - Yc12_out += p3; - Xd12_out -= p4; - Yd12_out += p5; - - /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ - pSrc[2u * i1] = Xc12_out; - - /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ - pSrc[(2u * i1) + 1u] = Yc12_out; - - /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ - pSrc[2u * i2] = Xb12_out; - - /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ - pSrc[(2u * i2) + 1u] = Yb12_out; - - /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ - pSrc[2u * i3] = Xd12_out; - - /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ - pSrc[(2u * i3) + 1u] = Yd12_out; - - i0 += n1; - } while(i0 < fftLen); - j++; - } while(j <= (n2 - 1u)); - twidCoefModifier <<= 2u; - } - /* Initializations of last stage */ - - j = fftLen >> 2; - ptr1 = &pSrc[0]; - - /* Calculations of last stage */ - do - { - xaIn = ptr1[0]; - yaIn = ptr1[1]; - xbIn = ptr1[2]; - ybIn = ptr1[3]; - xcIn = ptr1[4]; - ycIn = ptr1[5]; - xdIn = ptr1[6]; - ydIn = ptr1[7]; - - /* Butterfly implementation */ - /* xa + xc */ - Xaplusc = xaIn + xcIn; - - /* xa - xc */ - Xaminusc = xaIn - xcIn; - - /* ya + yc */ - Yaplusc = yaIn + ycIn; - - /* ya - yc */ - Yaminusc = yaIn - ycIn; - - /* xb + xd */ - Xbplusd = xbIn + xdIn; - - /* yb + yd */ - Ybplusd = ybIn + ydIn; - - /* (xb-xd) */ - Xbminusd = xbIn - xdIn; - - /* (yb-yd) */ - Ybminusd = ybIn - ydIn; - - /* xa' = (xa+xb+xc+xd) * onebyfftLen */ - a0 = (Xaplusc + Xbplusd); - /* ya' = (ya+yb+yc+yd) * onebyfftLen */ - a1 = (Yaplusc + Ybplusd); - /* xc' = (xa-xb+xc-xd) * onebyfftLen */ - a2 = (Xaplusc - Xbplusd); - /* yc' = (ya-yb+yc-yd) * onebyfftLen */ - a3 = (Yaplusc - Ybplusd); - /* xb' = (xa-yb-xc+yd) * onebyfftLen */ - a4 = (Xaminusc - Ybminusd); - /* yb' = (ya+xb-yc-xd) * onebyfftLen */ - a5 = (Yaminusc + Xbminusd); - /* xd' = (xa-yb-xc+yd) * onebyfftLen */ - a6 = (Xaminusc + Ybminusd); - /* yd' = (ya-xb-yc+xd) * onebyfftLen */ - a7 = (Yaminusc - Xbminusd); - - p0 = a0 * onebyfftLen; - p1 = a1 * onebyfftLen; - p2 = a2 * onebyfftLen; - p3 = a3 * onebyfftLen; - p4 = a4 * onebyfftLen; - p5 = a5 * onebyfftLen; - p6 = a6 * onebyfftLen; - p7 = a7 * onebyfftLen; - - /* xa' = (xa+xb+xc+xd) * onebyfftLen */ - ptr1[0] = p0; - /* ya' = (ya+yb+yc+yd) * onebyfftLen */ - ptr1[1] = p1; - /* xc' = (xa-xb+xc-xd) * onebyfftLen */ - ptr1[2] = p2; - /* yc' = (ya-yb+yc-yd) * onebyfftLen */ - ptr1[3] = p3; - /* xb' = (xa-yb-xc+yd) * onebyfftLen */ - ptr1[4] = p4; - /* yb' = (ya+xb-yc-xd) * onebyfftLen */ - ptr1[5] = p5; - /* xd' = (xa-yb-xc+yd) * onebyfftLen */ - ptr1[6] = p6; - /* yd' = (ya-xb-yc+xd) * onebyfftLen */ - ptr1[7] = p7; - - /* increment source pointer by 8 for next calculations */ - ptr1 = ptr1 + 8u; - - } while(--j); - -#else - - float32_t t1, t2, r1, r2, s1, s2; - - /* Run the below code for Cortex-M0 */ - - /* Initializations for the first stage */ - n2 = fftLen; - n1 = n2; - - /* Calculation of first stage */ - for (k = fftLen; k > 4u; k >>= 2u) - { - /* Initializations for the first stage */ - n1 = n2; - n2 >>= 2u; - ia1 = 0u; - - /* Calculation of first stage */ - j = 0; - do - { - /* index calculation for the coefficients */ - ia2 = ia1 + ia1; - ia3 = ia2 + ia1; - co1 = pCoef[ia1 * 2u]; - si1 = pCoef[(ia1 * 2u) + 1u]; - co2 = pCoef[ia2 * 2u]; - si2 = pCoef[(ia2 * 2u) + 1u]; - co3 = pCoef[ia3 * 2u]; - si3 = pCoef[(ia3 * 2u) + 1u]; - - /* Twiddle coefficients index modifier */ - ia1 = ia1 + twidCoefModifier; - - i0 = j; - do - { - /* index calculation for the input as, */ - /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* xa + xc */ - r1 = pSrc[(2u * i0)] + pSrc[(2u * i2)]; - - /* xa - xc */ - r2 = pSrc[(2u * i0)] - pSrc[(2u * i2)]; - - /* ya + yc */ - s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u]; - - /* ya - yc */ - s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u]; - - /* xb + xd */ - t1 = pSrc[2u * i1] + pSrc[2u * i3]; - - /* xa' = xa + xb + xc + xd */ - pSrc[2u * i0] = r1 + t1; - - /* xa + xc -(xb + xd) */ - r1 = r1 - t1; - - /* yb + yd */ - t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u]; - - /* ya' = ya + yb + yc + yd */ - pSrc[(2u * i0) + 1u] = s1 + t2; - - /* (ya + yc) - (yb + yd) */ - s1 = s1 - t2; - - /* (yb - yd) */ - t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u]; - - /* (xb - xd) */ - t2 = pSrc[2u * i1] - pSrc[2u * i3]; - - /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ - pSrc[2u * i1] = (r1 * co2) - (s1 * si2); - - /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ - pSrc[(2u * i1) + 1u] = (s1 * co2) + (r1 * si2); - - /* (xa - xc) - (yb - yd) */ - r1 = r2 - t1; - - /* (xa - xc) + (yb - yd) */ - r2 = r2 + t1; - - /* (ya - yc) + (xb - xd) */ - s1 = s2 + t2; - - /* (ya - yc) - (xb - xd) */ - s2 = s2 - t2; - - /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ - pSrc[2u * i2] = (r1 * co1) - (s1 * si1); - - /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ - pSrc[(2u * i2) + 1u] = (s1 * co1) + (r1 * si1); - - /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ - pSrc[2u * i3] = (r2 * co3) - (s2 * si3); - - /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ - pSrc[(2u * i3) + 1u] = (s2 * co3) + (r2 * si3); - - i0 += n1; - } while( i0 < fftLen); - j++; - } while(j <= (n2 - 1u)); - twidCoefModifier <<= 2u; - } - /* Initializations of last stage */ - n1 = n2; - n2 >>= 2u; - - /* Calculations of last stage */ - for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1) - { - /* index calculation for the input as, */ - /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Butterfly implementation */ - /* xa + xc */ - r1 = pSrc[2u * i0] + pSrc[2u * i2]; - - /* xa - xc */ - r2 = pSrc[2u * i0] - pSrc[2u * i2]; - - /* ya + yc */ - s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u]; - - /* ya - yc */ - s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u]; - - /* xc + xd */ - t1 = pSrc[2u * i1] + pSrc[2u * i3]; - - /* xa' = xa + xb + xc + xd */ - pSrc[2u * i0] = (r1 + t1) * onebyfftLen; - - /* (xa + xb) - (xc + xd) */ - r1 = r1 - t1; - - /* yb + yd */ - t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u]; - - /* ya' = ya + yb + yc + yd */ - pSrc[(2u * i0) + 1u] = (s1 + t2) * onebyfftLen; - - /* (ya + yc) - (yb + yd) */ - s1 = s1 - t2; - - /* (yb-yd) */ - t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u]; - - /* (xb-xd) */ - t2 = pSrc[2u * i1] - pSrc[2u * i3]; - - /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ - pSrc[2u * i1] = r1 * onebyfftLen; - - /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ - pSrc[(2u * i1) + 1u] = s1 * onebyfftLen; - - /* (xa - xc) - (yb-yd) */ - r1 = r2 - t1; - - /* (xa - xc) + (yb-yd) */ - r2 = r2 + t1; - - /* (ya - yc) + (xb-xd) */ - s1 = s2 + t2; - - /* (ya - yc) - (xb-xd) */ - s2 = s2 - t2; - - /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ - pSrc[2u * i2] = r1 * onebyfftLen; - - /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ - pSrc[(2u * i2) + 1u] = s1 * onebyfftLen; - - /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ - pSrc[2u * i3] = r2 * onebyfftLen; - - /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ - pSrc[(2u * i3) + 1u] = s2 * onebyfftLen; - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY_FAMILY */ -} - -/** -* @addtogroup ComplexFFT -* @{ -*/ - -/** -* @details -* @brief Processing function for the floating-point Radix-4 CFFT/CIFFT. -* @deprecated Do not use this function. It has been superceded by \ref arm_cfft_f32 and will be removed -* in the future. -* @param[in] *S points to an instance of the floating-point Radix-4 CFFT/CIFFT structure. -* @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. -* @return none. -*/ - -void arm_cfft_radix4_f32( -const arm_cfft_radix4_instance_f32 * S, -float32_t * pSrc) -{ - - if(S->ifftFlag == 1u) - { - /* Complex IFFT radix-4 */ - arm_radix4_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle, - S->twidCoefModifier, S->onebyfftLen); - } - else - { - /* Complex FFT radix-4 */ - arm_radix4_butterfly_f32(pSrc, S->fftLen, S->pTwiddle, - S->twidCoefModifier); - } - - if(S->bitReverseFlag == 1u) - { - /* Bit Reversal */ - arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); - } - -} - -/** -* @} end of ComplexFFT group -*/ -
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix4_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,165 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_radix4_init_f32.c -* -* Description: Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - - -#include "arm_math.h" -#include "arm_common_tables.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup ComplexFFT - * @{ - */ - -/** -* @brief Initialization function for the floating-point CFFT/CIFFT. -* @deprecated Do not use this function. It has been superceded by \ref arm_cfft_f32 and will be removed -* in the future. -* @param[in,out] *S points to an instance of the floating-point CFFT/CIFFT structure. -* @param[in] fftLen length of the FFT. -* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. -* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. -* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value. -* -* \par Description: -* \par -* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. -* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated -* \par -* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. -* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. -* \par -* The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. -* \par -* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. -*/ - -arm_status arm_cfft_radix4_init_f32( - arm_cfft_radix4_instance_f32 * S, - uint16_t fftLen, - uint8_t ifftFlag, - uint8_t bitReverseFlag) -{ - /* Initialise the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - - /* Initialise the FFT length */ - S->fftLen = fftLen; - - /* Initialise the Twiddle coefficient pointer */ - S->pTwiddle = (float32_t *) twiddleCoef; - - /* Initialise the Flag for selection of CFFT or CIFFT */ - S->ifftFlag = ifftFlag; - - /* Initialise the Flag for calculation Bit reversal or not */ - S->bitReverseFlag = bitReverseFlag; - - /* Initializations of structure parameters depending on the FFT length */ - switch (S->fftLen) - { - - case 4096u: - /* Initializations of structure parameters for 4096 point FFT */ - - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 1u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 1u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) armBitRevTable; - /* Initialise the 1/fftLen Value */ - S->onebyfftLen = 0.000244140625; - break; - - case 1024u: - /* Initializations of structure parameters for 1024 point FFT */ - - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 4u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 4u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; - /* Initialise the 1/fftLen Value */ - S->onebyfftLen = 0.0009765625f; - break; - - - case 256u: - /* Initializations of structure parameters for 256 point FFT */ - S->twidCoefModifier = 16u; - S->bitRevFactor = 16u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; - S->onebyfftLen = 0.00390625f; - break; - - case 64u: - /* Initializations of structure parameters for 64 point FFT */ - S->twidCoefModifier = 64u; - S->bitRevFactor = 64u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; - S->onebyfftLen = 0.015625f; - break; - - case 16u: - /* Initializations of structure parameters for 16 point FFT */ - S->twidCoefModifier = 256u; - S->bitRevFactor = 256u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; - S->onebyfftLen = 0.0625f; - break; - - - default: - /* Reporting argument error if fftSize is not valid value */ - status = ARM_MATH_ARGUMENT_ERROR; - break; - } - - return (status); -} - -/** - * @} end of ComplexFFT group - */
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix4_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,151 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_radix4_init_q15.c -* -* Description: Radix-4 Decimation in Frequency Q15 FFT & IFFT initialization function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" -#include "arm_common_tables.h" - -/** - * @ingroup groupTransforms - */ - - -/** - * @addtogroup ComplexFFT - * @{ - */ - - -/** -* @brief Initialization function for the Q15 CFFT/CIFFT. -* @param[in,out] *S points to an instance of the Q15 CFFT/CIFFT structure. -* @param[in] fftLen length of the FFT. -* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. -* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. -* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value. -* -* \par Description: -* \par -* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. -* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated -* \par -* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. -* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. -* \par -* The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. -* \par -* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. -*/ - -arm_status arm_cfft_radix4_init_q15( - arm_cfft_radix4_instance_q15 * S, - uint16_t fftLen, - uint8_t ifftFlag, - uint8_t bitReverseFlag) -{ - /* Initialise the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - /* Initialise the FFT length */ - S->fftLen = fftLen; - /* Initialise the Twiddle coefficient pointer */ - S->pTwiddle = (q15_t *) twiddleCoefQ15; - /* Initialise the Flag for selection of CFFT or CIFFT */ - S->ifftFlag = ifftFlag; - /* Initialise the Flag for calculation Bit reversal or not */ - S->bitReverseFlag = bitReverseFlag; - - /* Initializations of structure parameters depending on the FFT length */ - switch (S->fftLen) - { - case 4096u: - /* Initializations of structure parameters for 4096 point FFT */ - - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 1u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 1u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) armBitRevTable; - - break; - - case 1024u: - /* Initializations of structure parameters for 1024 point FFT */ - S->twidCoefModifier = 4u; - S->bitRevFactor = 4u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; - - break; - - case 256u: - /* Initializations of structure parameters for 256 point FFT */ - S->twidCoefModifier = 16u; - S->bitRevFactor = 16u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; - - break; - - case 64u: - /* Initializations of structure parameters for 64 point FFT */ - S->twidCoefModifier = 64u; - S->bitRevFactor = 64u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; - - break; - - case 16u: - /* Initializations of structure parameters for 16 point FFT */ - S->twidCoefModifier = 256u; - S->bitRevFactor = 256u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; - - break; - - default: - /* Reporting argument error if fftSize is not valid value */ - status = ARM_MATH_ARGUMENT_ERROR; - break; - } - - return (status); -} - -/** - * @} end of ComplexFFT group - */
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix4_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,147 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_radix4_init_q31.c -* -* Description: Radix-4 Decimation in Frequency Q31 FFT & IFFT initialization function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" -#include "arm_common_tables.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup ComplexFFT - * @{ - */ - -/** -* -* @brief Initialization function for the Q31 CFFT/CIFFT. -* @param[in,out] *S points to an instance of the Q31 CFFT/CIFFT structure. -* @param[in] fftLen length of the FFT. -* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. -* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. -* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value. -* -* \par Description: -* \par -* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. -* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated -* \par -* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. -* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. -* \par -* The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. -* \par -* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. -*/ - -arm_status arm_cfft_radix4_init_q31( - arm_cfft_radix4_instance_q31 * S, - uint16_t fftLen, - uint8_t ifftFlag, - uint8_t bitReverseFlag) -{ - /* Initialise the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - /* Initialise the FFT length */ - S->fftLen = fftLen; - /* Initialise the Twiddle coefficient pointer */ - S->pTwiddle = (q31_t *) twiddleCoefQ31; - /* Initialise the Flag for selection of CFFT or CIFFT */ - S->ifftFlag = ifftFlag; - /* Initialise the Flag for calculation Bit reversal or not */ - S->bitReverseFlag = bitReverseFlag; - - /* Initializations of Instance structure depending on the FFT length */ - switch (S->fftLen) - { - /* Initializations of structure parameters for 4096 point FFT */ - case 4096u: - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 1u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 1u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) armBitRevTable; - break; - - /* Initializations of structure parameters for 1024 point FFT */ - case 1024u: - /* Initialise the twiddle coef modifier value */ - S->twidCoefModifier = 4u; - /* Initialise the bit reversal table modifier */ - S->bitRevFactor = 4u; - /* Initialise the bit reversal table pointer */ - S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; - break; - - case 256u: - /* Initializations of structure parameters for 256 point FFT */ - S->twidCoefModifier = 16u; - S->bitRevFactor = 16u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; - break; - - case 64u: - /* Initializations of structure parameters for 64 point FFT */ - S->twidCoefModifier = 64u; - S->bitRevFactor = 64u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; - break; - - case 16u: - /* Initializations of structure parameters for 16 point FFT */ - S->twidCoefModifier = 256u; - S->bitRevFactor = 256u; - S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; - break; - - default: - /* Reporting argument error if fftSize is not valid value */ - status = ARM_MATH_ARGUMENT_ERROR; - break; - } - - return (status); -} - -/** - * @} end of ComplexFFT group - */
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix4_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,1917 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_radix4_q15.c -* -* Description: This file has function definition of Radix-4 FFT & IFFT function and -* In-place bit reversal using bit reversal table -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - - -void arm_radix4_butterfly_q15( - q15_t * pSrc16, - uint32_t fftLen, - q15_t * pCoef16, - uint32_t twidCoefModifier); - -void arm_radix4_butterfly_inverse_q15( - q15_t * pSrc16, - uint32_t fftLen, - q15_t * pCoef16, - uint32_t twidCoefModifier); - -void arm_bitreversal_q15( - q15_t * pSrc, - uint32_t fftLen, - uint16_t bitRevFactor, - uint16_t * pBitRevTab); - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup ComplexFFT - * @{ - */ - - -/** - * @details - * @brief Processing function for the Q15 CFFT/CIFFT. - * @param[in] *S points to an instance of the Q15 CFFT/CIFFT structure. - * @param[in, out] *pSrc points to the complex data buffer. Processing occurs in-place. - * @return none. - * - * \par Input and output formats: - * \par - * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. - * Hence the output format is different for different FFT sizes. - * The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT: - * \par - * \image html CFFTQ15.gif "Input and Output Formats for Q15 CFFT" - * \image html CIFFTQ15.gif "Input and Output Formats for Q15 CIFFT" - */ - -void arm_cfft_radix4_q15( - const arm_cfft_radix4_instance_q15 * S, - q15_t * pSrc) -{ - if(S->ifftFlag == 1u) - { - /* Complex IFFT radix-4 */ - arm_radix4_butterfly_inverse_q15(pSrc, S->fftLen, S->pTwiddle, - S->twidCoefModifier); - } - else - { - /* Complex FFT radix-4 */ - arm_radix4_butterfly_q15(pSrc, S->fftLen, S->pTwiddle, - S->twidCoefModifier); - } - - if(S->bitReverseFlag == 1u) - { - /* Bit Reversal */ - arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); - } - -} - -/** - * @} end of ComplexFFT group - */ - -/* -* Radix-4 FFT algorithm used is : -* -* Input real and imaginary data: -* x(n) = xa + j * ya -* x(n+N/4 ) = xb + j * yb -* x(n+N/2 ) = xc + j * yc -* x(n+3N 4) = xd + j * yd -* -* -* Output real and imaginary data: -* x(4r) = xa'+ j * ya' -* x(4r+1) = xb'+ j * yb' -* x(4r+2) = xc'+ j * yc' -* x(4r+3) = xd'+ j * yd' -* -* -* Twiddle factors for radix-4 FFT: -* Wn = co1 + j * (- si1) -* W2n = co2 + j * (- si2) -* W3n = co3 + j * (- si3) - -* The real and imaginary output values for the radix-4 butterfly are -* xa' = xa + xb + xc + xd -* ya' = ya + yb + yc + yd -* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) -* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) -* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) -* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) -* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) -* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) -* -*/ - -/** - * @brief Core function for the Q15 CFFT butterfly process. - * @param[in, out] *pSrc16 points to the in-place buffer of Q15 data type. - * @param[in] fftLen length of the FFT. - * @param[in] *pCoef16 points to twiddle coefficient buffer. - * @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. - * @return none. - */ - -void arm_radix4_butterfly_q15( - q15_t * pSrc16, - uint32_t fftLen, - q15_t * pCoef16, - uint32_t twidCoefModifier) -{ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t R, S, T, U; - q31_t C1, C2, C3, out1, out2; - uint32_t n1, n2, ic, i0, i1, i2, i3, j, k; - q15_t in; - - q15_t *ptr1; - - - - q31_t xaya, xbyb, xcyc, xdyd; - - /* Total process is divided into three stages */ - - /* process first stage, middle stages, & last stage */ - - /* Initializations for the first stage */ - n2 = fftLen; - n1 = n2; - - /* n2 = fftLen/4 */ - n2 >>= 2u; - - /* Index for twiddle coefficient */ - ic = 0u; - - /* Index for input read and output write */ - i0 = 0u; - j = n2; - - /* Input is in 1.15(q15) format */ - - /* start of first stage process */ - do - { - /* Butterfly implementation */ - - /* index calculation for the input as, */ - /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Reading i0, i0+fftLen/2 inputs */ - /* Read ya (real), xa(imag) input */ - T = _SIMD32_OFFSET(pSrc16 + (2u * i0)); - in = ((int16_t) (T & 0xFFFF)) >> 2; - T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - /* Read yc (real), xc(imag) input */ - S = _SIMD32_OFFSET(pSrc16 + (2u * i2)); - in = ((int16_t) (S & 0xFFFF)) >> 2; - S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - /* R = packed((ya + yc), (xa + xc) ) */ - R = __QADD16(T, S); - - /* S = packed((ya - yc), (xa - xc) ) */ - S = __QSUB16(T, S); - - /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ - /* Read yb (real), xb(imag) input */ - T = _SIMD32_OFFSET(pSrc16 + (2u * i1)); - in = ((int16_t) (T & 0xFFFF)) >> 2; - T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - /* Read yd (real), xd(imag) input */ - U = _SIMD32_OFFSET(pSrc16 + (2u * i3)); - in = ((int16_t) (U & 0xFFFF)) >> 2; - U = ((U >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - /* T = packed((yb + yd), (xb + xd) ) */ - T = __QADD16(T, U); - - /* writing the butterfly processed i0 sample */ - /* xa' = xa + xb + xc + xd */ - /* ya' = ya + yb + yc + yd */ - _SIMD32_OFFSET(pSrc16 + (2u * i0)) = __SHADD16(R, T); - - /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */ - R = __QSUB16(R, T); - - /* co2 & si2 are read from SIMD Coefficient pointer */ - C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic)); - -#ifndef ARM_MATH_BIG_ENDIAN - - /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ - out1 = __SMUAD(C2, R) >> 16u; - /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ - out2 = __SMUSDX(C2, R); - -#else - - /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ - out1 = __SMUSDX(R, C2) >> 16u; - /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ - out2 = __SMUAD(C2, R); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Reading i0+fftLen/4 */ - /* T = packed(yb, xb) */ - T = _SIMD32_OFFSET(pSrc16 + (2u * i1)); - in = ((int16_t) (T & 0xFFFF)) >> 2; - T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - /* writing the butterfly processed i0 + fftLen/4 sample */ - /* writing output(xc', yc') in little endian format */ - _SIMD32_OFFSET(pSrc16 + (2u * i1)) = - (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - /* Butterfly calculations */ - /* U = packed(yd, xd) */ - U = _SIMD32_OFFSET(pSrc16 + (2u * i3)); - in = ((int16_t) (U & 0xFFFF)) >> 2; - U = ((U >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - /* T = packed(yb-yd, xb-xd) */ - T = __QSUB16(T, U); - -#ifndef ARM_MATH_BIG_ENDIAN - - /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ - R = __QASX(S, T); - /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ - S = __QSAX(S, T); - -#else - - /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ - R = __QSAX(S, T); - /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ - S = __QASX(S, T); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* co1 & si1 are read from SIMD Coefficient pointer */ - C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic)); - /* Butterfly process for the i0+fftLen/2 sample */ - -#ifndef ARM_MATH_BIG_ENDIAN - - /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ - out1 = __SMUAD(C1, S) >> 16u; - /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ - out2 = __SMUSDX(C1, S); - -#else - - /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ - out1 = __SMUSDX(S, C1) >> 16u; - /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ - out2 = __SMUAD(C1, S); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* writing output(xb', yb') in little endian format */ - _SIMD32_OFFSET(pSrc16 + (2u * i2)) = - ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF); - - - /* co3 & si3 are read from SIMD Coefficient pointer */ - C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic)); - /* Butterfly process for the i0+3fftLen/4 sample */ - -#ifndef ARM_MATH_BIG_ENDIAN - - /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ - out1 = __SMUAD(C3, R) >> 16u; - /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ - out2 = __SMUSDX(C3, R); - -#else - - /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ - out1 = __SMUSDX(R, C3) >> 16u; - /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ - out2 = __SMUAD(C3, R); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* writing output(xd', yd') in little endian format */ - _SIMD32_OFFSET(pSrc16 + (2u * i3)) = - ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - /* Twiddle coefficients index modifier */ - ic = ic + twidCoefModifier; - - /* Updating input index */ - i0 = i0 + 1u; - - } while(--j); - /* data is in 4.11(q11) format */ - - /* end of first stage process */ - - - /* start of middle stage process */ - - /* Twiddle coefficients index modifier */ - twidCoefModifier <<= 2u; - - /* Calculation of Middle stage */ - for (k = fftLen / 4u; k > 4u; k >>= 2u) - { - /* Initializations for the middle stage */ - n1 = n2; - n2 >>= 2u; - ic = 0u; - - for (j = 0u; j <= (n2 - 1u); j++) - { - /* index calculation for the coefficients */ - C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic)); - C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic)); - C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic)); - - /* Twiddle coefficients index modifier */ - ic = ic + twidCoefModifier; - - /* Butterfly implementation */ - for (i0 = j; i0 < fftLen; i0 += n1) - { - /* index calculation for the input as, */ - /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Reading i0, i0+fftLen/2 inputs */ - /* Read ya (real), xa(imag) input */ - T = _SIMD32_OFFSET(pSrc16 + (2u * i0)); - - /* Read yc (real), xc(imag) input */ - S = _SIMD32_OFFSET(pSrc16 + (2u * i2)); - - /* R = packed( (ya + yc), (xa + xc)) */ - R = __QADD16(T, S); - - /* S = packed((ya - yc), (xa - xc)) */ - S = __QSUB16(T, S); - - /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ - /* Read yb (real), xb(imag) input */ - T = _SIMD32_OFFSET(pSrc16 + (2u * i1)); - - /* Read yd (real), xd(imag) input */ - U = _SIMD32_OFFSET(pSrc16 + (2u * i3)); - - /* T = packed( (yb + yd), (xb + xd)) */ - T = __QADD16(T, U); - - /* writing the butterfly processed i0 sample */ - - /* xa' = xa + xb + xc + xd */ - /* ya' = ya + yb + yc + yd */ - out1 = __SHADD16(R, T); - in = ((int16_t) (out1 & 0xFFFF)) >> 1; - out1 = ((out1 >> 1) & 0xFFFF0000) | (in & 0xFFFF); - _SIMD32_OFFSET(pSrc16 + (2u * i0)) = out1; - - /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */ - R = __SHSUB16(R, T); - -#ifndef ARM_MATH_BIG_ENDIAN - - /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ - out1 = __SMUAD(C2, R) >> 16u; - - /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ - out2 = __SMUSDX(C2, R); - -#else - - /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ - out1 = __SMUSDX(R, C2) >> 16u; - - /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ - out2 = __SMUAD(C2, R); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Reading i0+3fftLen/4 */ - /* Read yb (real), xb(imag) input */ - T = _SIMD32_OFFSET(pSrc16 + (2u * i1)); - - /* writing the butterfly processed i0 + fftLen/4 sample */ - /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ - /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ - _SIMD32_OFFSET(pSrc16 + (2u * i1)) = - ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - /* Butterfly calculations */ - - /* Read yd (real), xd(imag) input */ - U = _SIMD32_OFFSET(pSrc16 + (2u * i3)); - - /* T = packed(yb-yd, xb-xd) */ - T = __QSUB16(T, U); - -#ifndef ARM_MATH_BIG_ENDIAN - - /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ - R = __SHASX(S, T); - - /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ - S = __SHSAX(S, T); - - - /* Butterfly process for the i0+fftLen/2 sample */ - out1 = __SMUAD(C1, S) >> 16u; - out2 = __SMUSDX(C1, S); - -#else - - /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ - R = __SHSAX(S, T); - - /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ - S = __SHASX(S, T); - - - /* Butterfly process for the i0+fftLen/2 sample */ - out1 = __SMUSDX(S, C1) >> 16u; - out2 = __SMUAD(C1, S); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ - /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ - _SIMD32_OFFSET(pSrc16 + (2u * i2)) = - ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - /* Butterfly process for the i0+3fftLen/4 sample */ - -#ifndef ARM_MATH_BIG_ENDIAN - - out1 = __SMUAD(C3, R) >> 16u; - out2 = __SMUSDX(C3, R); - -#else - - out1 = __SMUSDX(R, C3) >> 16u; - out2 = __SMUAD(C3, R); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ - /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ - _SIMD32_OFFSET(pSrc16 + (2u * i3)) = - ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - } - } - /* Twiddle coefficients index modifier */ - twidCoefModifier <<= 2u; - } - /* end of middle stage process */ - - - /* data is in 10.6(q6) format for the 1024 point */ - /* data is in 8.8(q8) format for the 256 point */ - /* data is in 6.10(q10) format for the 64 point */ - /* data is in 4.12(q12) format for the 16 point */ - - /* Initializations for the last stage */ - j = fftLen >> 2; - - ptr1 = &pSrc16[0]; - - /* start of last stage process */ - - /* Butterfly implementation */ - do - { - /* Read xa (real), ya(imag) input */ - xaya = *__SIMD32(ptr1)++; - - /* Read xb (real), yb(imag) input */ - xbyb = *__SIMD32(ptr1)++; - - /* Read xc (real), yc(imag) input */ - xcyc = *__SIMD32(ptr1)++; - - /* Read xd (real), yd(imag) input */ - xdyd = *__SIMD32(ptr1)++; - - /* R = packed((ya + yc), (xa + xc)) */ - R = __QADD16(xaya, xcyc); - - /* T = packed((yb + yd), (xb + xd)) */ - T = __QADD16(xbyb, xdyd); - - /* pointer updation for writing */ - ptr1 = ptr1 - 8u; - - - /* xa' = xa + xb + xc + xd */ - /* ya' = ya + yb + yc + yd */ - *__SIMD32(ptr1)++ = __SHADD16(R, T); - - /* T = packed((yb + yd), (xb + xd)) */ - T = __QADD16(xbyb, xdyd); - - /* xc' = (xa-xb+xc-xd) */ - /* yc' = (ya-yb+yc-yd) */ - *__SIMD32(ptr1)++ = __SHSUB16(R, T); - - /* S = packed((ya - yc), (xa - xc)) */ - S = __QSUB16(xaya, xcyc); - - /* Read yd (real), xd(imag) input */ - /* T = packed( (yb - yd), (xb - xd)) */ - U = __QSUB16(xbyb, xdyd); - -#ifndef ARM_MATH_BIG_ENDIAN - - /* xb' = (xa+yb-xc-yd) */ - /* yb' = (ya-xb-yc+xd) */ - *__SIMD32(ptr1)++ = __SHSAX(S, U); - - - /* xd' = (xa-yb-xc+yd) */ - /* yd' = (ya+xb-yc-xd) */ - *__SIMD32(ptr1)++ = __SHASX(S, U); - -#else - - /* xb' = (xa+yb-xc-yd) */ - /* yb' = (ya-xb-yc+xd) */ - *__SIMD32(ptr1)++ = __SHASX(S, U); - - - /* xd' = (xa-yb-xc+yd) */ - /* yd' = (ya+xb-yc-xd) */ - *__SIMD32(ptr1)++ = __SHSAX(S, U); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - } while(--j); - - /* end of last stage process */ - - /* output is in 11.5(q5) format for the 1024 point */ - /* output is in 9.7(q7) format for the 256 point */ - /* output is in 7.9(q9) format for the 64 point */ - /* output is in 5.11(q11) format for the 16 point */ - - -#else - - /* Run the below code for Cortex-M0 */ - - q15_t R0, R1, S0, S1, T0, T1, U0, U1; - q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2; - uint32_t n1, n2, ic, i0, i1, i2, i3, j, k; - - /* Total process is divided into three stages */ - - /* process first stage, middle stages, & last stage */ - - /* Initializations for the first stage */ - n2 = fftLen; - n1 = n2; - - /* n2 = fftLen/4 */ - n2 >>= 2u; - - /* Index for twiddle coefficient */ - ic = 0u; - - /* Index for input read and output write */ - i0 = 0u; - j = n2; - - /* Input is in 1.15(q15) format */ - - /* start of first stage process */ - do - { - /* Butterfly implementation */ - - /* index calculation for the input as, */ - /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Reading i0, i0+fftLen/2 inputs */ - - /* input is down scale by 4 to avoid overflow */ - /* Read ya (real), xa(imag) input */ - T0 = pSrc16[i0 * 2u] >> 2u; - T1 = pSrc16[(i0 * 2u) + 1u] >> 2u; - - /* input is down scale by 4 to avoid overflow */ - /* Read yc (real), xc(imag) input */ - S0 = pSrc16[i2 * 2u] >> 2u; - S1 = pSrc16[(i2 * 2u) + 1u] >> 2u; - - /* R0 = (ya + yc) */ - R0 = __SSAT(T0 + S0, 16u); - /* R1 = (xa + xc) */ - R1 = __SSAT(T1 + S1, 16u); - - /* S0 = (ya - yc) */ - S0 = __SSAT(T0 - S0, 16); - /* S1 = (xa - xc) */ - S1 = __SSAT(T1 - S1, 16); - - /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ - /* input is down scale by 4 to avoid overflow */ - /* Read yb (real), xb(imag) input */ - T0 = pSrc16[i1 * 2u] >> 2u; - T1 = pSrc16[(i1 * 2u) + 1u] >> 2u; - - /* input is down scale by 4 to avoid overflow */ - /* Read yd (real), xd(imag) input */ - U0 = pSrc16[i3 * 2u] >> 2u; - U1 = pSrc16[(i3 * 2u) + 1] >> 2u; - - /* T0 = (yb + yd) */ - T0 = __SSAT(T0 + U0, 16u); - /* T1 = (xb + xd) */ - T1 = __SSAT(T1 + U1, 16u); - - /* writing the butterfly processed i0 sample */ - /* ya' = ya + yb + yc + yd */ - /* xa' = xa + xb + xc + xd */ - pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u); - pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u); - - /* R0 = (ya + yc) - (yb + yd) */ - /* R1 = (xa + xc) - (xb + xd) */ - R0 = __SSAT(R0 - T0, 16u); - R1 = __SSAT(R1 - T1, 16u); - - /* co2 & si2 are read from Coefficient pointer */ - Co2 = pCoef16[2u * ic * 2u]; - Si2 = pCoef16[(2u * ic * 2u) + 1]; - - /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ - out1 = (short) ((Co2 * R0 + Si2 * R1) >> 16u); - /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ - out2 = (short) ((-Si2 * R0 + Co2 * R1) >> 16u); - - /* Reading i0+fftLen/4 */ - /* input is down scale by 4 to avoid overflow */ - /* T0 = yb, T1 = xb */ - T0 = pSrc16[i1 * 2u] >> 2; - T1 = pSrc16[(i1 * 2u) + 1] >> 2; - - /* writing the butterfly processed i0 + fftLen/4 sample */ - /* writing output(xc', yc') in little endian format */ - pSrc16[i1 * 2u] = out1; - pSrc16[(i1 * 2u) + 1] = out2; - - /* Butterfly calculations */ - /* input is down scale by 4 to avoid overflow */ - /* U0 = yd, U1 = xd */ - U0 = pSrc16[i3 * 2u] >> 2; - U1 = pSrc16[(i3 * 2u) + 1] >> 2; - /* T0 = yb-yd */ - T0 = __SSAT(T0 - U0, 16); - /* T1 = xb-xd */ - T1 = __SSAT(T1 - U1, 16); - - /* R1 = (ya-yc) + (xb- xd), R0 = (xa-xc) - (yb-yd)) */ - R0 = (short) __SSAT((q31_t) (S0 - T1), 16); - R1 = (short) __SSAT((q31_t) (S1 + T0), 16); - - /* S1 = (ya-yc) - (xb- xd), S0 = (xa-xc) + (yb-yd)) */ - S0 = (short) __SSAT(((q31_t) S0 + T1), 16u); - S1 = (short) __SSAT(((q31_t) S1 - T0), 16u); - - /* co1 & si1 are read from Coefficient pointer */ - Co1 = pCoef16[ic * 2u]; - Si1 = pCoef16[(ic * 2u) + 1]; - /* Butterfly process for the i0+fftLen/2 sample */ - /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ - out1 = (short) ((Si1 * S1 + Co1 * S0) >> 16); - /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ - out2 = (short) ((-Si1 * S0 + Co1 * S1) >> 16); - - /* writing output(xb', yb') in little endian format */ - pSrc16[i2 * 2u] = out1; - pSrc16[(i2 * 2u) + 1] = out2; - - /* Co3 & si3 are read from Coefficient pointer */ - Co3 = pCoef16[3u * (ic * 2u)]; - Si3 = pCoef16[(3u * (ic * 2u)) + 1]; - /* Butterfly process for the i0+3fftLen/4 sample */ - /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */ - out1 = (short) ((Si3 * R1 + Co3 * R0) >> 16u); - /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */ - out2 = (short) ((-Si3 * R0 + Co3 * R1) >> 16u); - /* writing output(xd', yd') in little endian format */ - pSrc16[i3 * 2u] = out1; - pSrc16[(i3 * 2u) + 1] = out2; - - /* Twiddle coefficients index modifier */ - ic = ic + twidCoefModifier; - - /* Updating input index */ - i0 = i0 + 1u; - - } while(--j); - /* data is in 4.11(q11) format */ - - /* end of first stage process */ - - - /* start of middle stage process */ - - /* Twiddle coefficients index modifier */ - twidCoefModifier <<= 2u; - - /* Calculation of Middle stage */ - for (k = fftLen / 4u; k > 4u; k >>= 2u) - { - /* Initializations for the middle stage */ - n1 = n2; - n2 >>= 2u; - ic = 0u; - - for (j = 0u; j <= (n2 - 1u); j++) - { - /* index calculation for the coefficients */ - Co1 = pCoef16[ic * 2u]; - Si1 = pCoef16[(ic * 2u) + 1u]; - Co2 = pCoef16[2u * (ic * 2u)]; - Si2 = pCoef16[(2u * (ic * 2u)) + 1u]; - Co3 = pCoef16[3u * (ic * 2u)]; - Si3 = pCoef16[(3u * (ic * 2u)) + 1u]; - - /* Twiddle coefficients index modifier */ - ic = ic + twidCoefModifier; - - /* Butterfly implementation */ - for (i0 = j; i0 < fftLen; i0 += n1) - { - /* index calculation for the input as, */ - /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Reading i0, i0+fftLen/2 inputs */ - /* Read ya (real), xa(imag) input */ - T0 = pSrc16[i0 * 2u]; - T1 = pSrc16[(i0 * 2u) + 1u]; - - /* Read yc (real), xc(imag) input */ - S0 = pSrc16[i2 * 2u]; - S1 = pSrc16[(i2 * 2u) + 1u]; - - /* R0 = (ya + yc), R1 = (xa + xc) */ - R0 = __SSAT(T0 + S0, 16); - R1 = __SSAT(T1 + S1, 16); - - /* S0 = (ya - yc), S1 =(xa - xc) */ - S0 = __SSAT(T0 - S0, 16); - S1 = __SSAT(T1 - S1, 16); - - /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ - /* Read yb (real), xb(imag) input */ - T0 = pSrc16[i1 * 2u]; - T1 = pSrc16[(i1 * 2u) + 1u]; - - /* Read yd (real), xd(imag) input */ - U0 = pSrc16[i3 * 2u]; - U1 = pSrc16[(i3 * 2u) + 1u]; - - - /* T0 = (yb + yd), T1 = (xb + xd) */ - T0 = __SSAT(T0 + U0, 16); - T1 = __SSAT(T1 + U1, 16); - - /* writing the butterfly processed i0 sample */ - - /* xa' = xa + xb + xc + xd */ - /* ya' = ya + yb + yc + yd */ - out1 = ((R0 >> 1u) + (T0 >> 1u)) >> 1u; - out2 = ((R1 >> 1u) + (T1 >> 1u)) >> 1u; - - pSrc16[i0 * 2u] = out1; - pSrc16[(2u * i0) + 1u] = out2; - - /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ - R0 = (R0 >> 1u) - (T0 >> 1u); - R1 = (R1 >> 1u) - (T1 >> 1u); - - /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ - out1 = (short) ((Co2 * R0 + Si2 * R1) >> 16u); - - /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ - out2 = (short) ((-Si2 * R0 + Co2 * R1) >> 16u); - - /* Reading i0+3fftLen/4 */ - /* Read yb (real), xb(imag) input */ - T0 = pSrc16[i1 * 2u]; - T1 = pSrc16[(i1 * 2u) + 1u]; - - /* writing the butterfly processed i0 + fftLen/4 sample */ - /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ - /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ - pSrc16[i1 * 2u] = out1; - pSrc16[(i1 * 2u) + 1u] = out2; - - /* Butterfly calculations */ - - /* Read yd (real), xd(imag) input */ - U0 = pSrc16[i3 * 2u]; - U1 = pSrc16[(i3 * 2u) + 1u]; - - /* T0 = yb-yd, T1 = xb-xd */ - T0 = __SSAT(T0 - U0, 16); - T1 = __SSAT(T1 - U1, 16); - - /* R0 = (ya-yc) + (xb- xd), R1 = (xa-xc) - (yb-yd)) */ - R0 = (S0 >> 1u) - (T1 >> 1u); - R1 = (S1 >> 1u) + (T0 >> 1u); - - /* S0 = (ya-yc) - (xb- xd), S1 = (xa-xc) + (yb-yd)) */ - S0 = (S0 >> 1u) + (T1 >> 1u); - S1 = (S1 >> 1u) - (T0 >> 1u); - - /* Butterfly process for the i0+fftLen/2 sample */ - out1 = (short) ((Co1 * S0 + Si1 * S1) >> 16u); - - out2 = (short) ((-Si1 * S0 + Co1 * S1) >> 16u); - - /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ - /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ - pSrc16[i2 * 2u] = out1; - pSrc16[(i2 * 2u) + 1u] = out2; - - /* Butterfly process for the i0+3fftLen/4 sample */ - out1 = (short) ((Si3 * R1 + Co3 * R0) >> 16u); - - out2 = (short) ((-Si3 * R0 + Co3 * R1) >> 16u); - /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */ - /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */ - pSrc16[i3 * 2u] = out1; - pSrc16[(i3 * 2u) + 1u] = out2; - } - } - /* Twiddle coefficients index modifier */ - twidCoefModifier <<= 2u; - } - /* end of middle stage process */ - - - /* data is in 10.6(q6) format for the 1024 point */ - /* data is in 8.8(q8) format for the 256 point */ - /* data is in 6.10(q10) format for the 64 point */ - /* data is in 4.12(q12) format for the 16 point */ - - /* Initializations for the last stage */ - n1 = n2; - n2 >>= 2u; - - /* start of last stage process */ - - /* Butterfly implementation */ - for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1) - { - /* index calculation for the input as, */ - /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Reading i0, i0+fftLen/2 inputs */ - /* Read ya (real), xa(imag) input */ - T0 = pSrc16[i0 * 2u]; - T1 = pSrc16[(i0 * 2u) + 1u]; - - /* Read yc (real), xc(imag) input */ - S0 = pSrc16[i2 * 2u]; - S1 = pSrc16[(i2 * 2u) + 1u]; - - /* R0 = (ya + yc), R1 = (xa + xc) */ - R0 = __SSAT(T0 + S0, 16u); - R1 = __SSAT(T1 + S1, 16u); - - /* S0 = (ya - yc), S1 = (xa - xc) */ - S0 = __SSAT(T0 - S0, 16u); - S1 = __SSAT(T1 - S1, 16u); - - /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ - /* Read yb (real), xb(imag) input */ - T0 = pSrc16[i1 * 2u]; - T1 = pSrc16[(i1 * 2u) + 1u]; - /* Read yd (real), xd(imag) input */ - U0 = pSrc16[i3 * 2u]; - U1 = pSrc16[(i3 * 2u) + 1u]; - - /* T0 = (yb + yd), T1 = (xb + xd)) */ - T0 = __SSAT(T0 + U0, 16u); - T1 = __SSAT(T1 + U1, 16u); - - /* writing the butterfly processed i0 sample */ - /* xa' = xa + xb + xc + xd */ - /* ya' = ya + yb + yc + yd */ - pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u); - pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u); - - /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ - R0 = (R0 >> 1u) - (T0 >> 1u); - R1 = (R1 >> 1u) - (T1 >> 1u); - /* Read yb (real), xb(imag) input */ - T0 = pSrc16[i1 * 2u]; - T1 = pSrc16[(i1 * 2u) + 1u]; - - /* writing the butterfly processed i0 + fftLen/4 sample */ - /* xc' = (xa-xb+xc-xd) */ - /* yc' = (ya-yb+yc-yd) */ - pSrc16[i1 * 2u] = R0; - pSrc16[(i1 * 2u) + 1u] = R1; - - /* Read yd (real), xd(imag) input */ - U0 = pSrc16[i3 * 2u]; - U1 = pSrc16[(i3 * 2u) + 1u]; - /* T0 = (yb - yd), T1 = (xb - xd) */ - T0 = __SSAT(T0 - U0, 16u); - T1 = __SSAT(T1 - U1, 16u); - - /* writing the butterfly processed i0 + fftLen/2 sample */ - /* xb' = (xa+yb-xc-yd) */ - /* yb' = (ya-xb-yc+xd) */ - pSrc16[i2 * 2u] = (S0 >> 1u) + (T1 >> 1u); - pSrc16[(i2 * 2u) + 1u] = (S1 >> 1u) - (T0 >> 1u); - - /* writing the butterfly processed i0 + 3fftLen/4 sample */ - /* xd' = (xa-yb-xc+yd) */ - /* yd' = (ya+xb-yc-xd) */ - pSrc16[i3 * 2u] = (S0 >> 1u) - (T1 >> 1u); - pSrc16[(i3 * 2u) + 1u] = (S1 >> 1u) + (T0 >> 1u); - - } - - /* end of last stage process */ - - /* output is in 11.5(q5) format for the 1024 point */ - /* output is in 9.7(q7) format for the 256 point */ - /* output is in 7.9(q9) format for the 64 point */ - /* output is in 5.11(q11) format for the 16 point */ - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - - -/** - * @brief Core function for the Q15 CIFFT butterfly process. - * @param[in, out] *pSrc16 points to the in-place buffer of Q15 data type. - * @param[in] fftLen length of the FFT. - * @param[in] *pCoef16 points to twiddle coefficient buffer. - * @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. - * @return none. - */ - -/* -* Radix-4 IFFT algorithm used is : -* -* CIFFT uses same twiddle coefficients as CFFT function -* x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4] -* -* -* IFFT is implemented with following changes in equations from FFT -* -* Input real and imaginary data: -* x(n) = xa + j * ya -* x(n+N/4 ) = xb + j * yb -* x(n+N/2 ) = xc + j * yc -* x(n+3N 4) = xd + j * yd -* -* -* Output real and imaginary data: -* x(4r) = xa'+ j * ya' -* x(4r+1) = xb'+ j * yb' -* x(4r+2) = xc'+ j * yc' -* x(4r+3) = xd'+ j * yd' -* -* -* Twiddle factors for radix-4 IFFT: -* Wn = co1 + j * (si1) -* W2n = co2 + j * (si2) -* W3n = co3 + j * (si3) - -* The real and imaginary output values for the radix-4 butterfly are -* xa' = xa + xb + xc + xd -* ya' = ya + yb + yc + yd -* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) -* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) -* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) -* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) -* xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3) -* yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3) -* -*/ - -void arm_radix4_butterfly_inverse_q15( - q15_t * pSrc16, - uint32_t fftLen, - q15_t * pCoef16, - uint32_t twidCoefModifier) -{ - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - q31_t R, S, T, U; - q31_t C1, C2, C3, out1, out2; - uint32_t n1, n2, ic, i0, i1, i2, i3, j, k; - q15_t in; - - q15_t *ptr1; - - - - q31_t xaya, xbyb, xcyc, xdyd; - - /* Total process is divided into three stages */ - - /* process first stage, middle stages, & last stage */ - - /* Initializations for the first stage */ - n2 = fftLen; - n1 = n2; - - /* n2 = fftLen/4 */ - n2 >>= 2u; - - /* Index for twiddle coefficient */ - ic = 0u; - - /* Index for input read and output write */ - i0 = 0u; - j = n2; - - /* Input is in 1.15(q15) format */ - - /* start of first stage process */ - do - { - /* Butterfly implementation */ - - /* index calculation for the input as, */ - /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Reading i0, i0+fftLen/2 inputs */ - /* Read ya (real), xa(imag) input */ - T = _SIMD32_OFFSET(pSrc16 + (2u * i0)); - in = ((int16_t) (T & 0xFFFF)) >> 2; - T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - /* Read yc (real), xc(imag) input */ - S = _SIMD32_OFFSET(pSrc16 + (2u * i2)); - in = ((int16_t) (S & 0xFFFF)) >> 2; - S = ((S >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - /* R = packed((ya + yc), (xa + xc) ) */ - R = __QADD16(T, S); - - /* S = packed((ya - yc), (xa - xc) ) */ - S = __QSUB16(T, S); - - /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ - /* Read yb (real), xb(imag) input */ - T = _SIMD32_OFFSET(pSrc16 + (2u * i1)); - in = ((int16_t) (T & 0xFFFF)) >> 2; - T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - /* Read yd (real), xd(imag) input */ - U = _SIMD32_OFFSET(pSrc16 + (2u * i3)); - in = ((int16_t) (U & 0xFFFF)) >> 2; - U = ((U >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - /* T = packed((yb + yd), (xb + xd) ) */ - T = __QADD16(T, U); - - /* writing the butterfly processed i0 sample */ - /* xa' = xa + xb + xc + xd */ - /* ya' = ya + yb + yc + yd */ - _SIMD32_OFFSET(pSrc16 + (2u * i0)) = __SHADD16(R, T); - - /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */ - R = __QSUB16(R, T); - - /* co2 & si2 are read from SIMD Coefficient pointer */ - C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic)); - -#ifndef ARM_MATH_BIG_ENDIAN - - /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ - out1 = __SMUSD(C2, R) >> 16u; - /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ - out2 = __SMUADX(C2, R); - -#else - - /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ - out1 = __SMUADX(C2, R) >> 16u; - /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ - out2 = __SMUSD(__QSUB16(0, C2), R); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Reading i0+fftLen/4 */ - /* T = packed(yb, xb) */ - T = _SIMD32_OFFSET(pSrc16 + (2u * i1)); - in = ((int16_t) (T & 0xFFFF)) >> 2; - T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - /* writing the butterfly processed i0 + fftLen/4 sample */ - /* writing output(xc', yc') in little endian format */ - _SIMD32_OFFSET(pSrc16 + (2u * i1)) = - (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - /* Butterfly calculations */ - /* U = packed(yd, xd) */ - U = _SIMD32_OFFSET(pSrc16 + (2u * i3)); - in = ((int16_t) (U & 0xFFFF)) >> 2; - U = ((U >> 2) & 0xFFFF0000) | (in & 0xFFFF); - - /* T = packed(yb-yd, xb-xd) */ - T = __QSUB16(T, U); - -#ifndef ARM_MATH_BIG_ENDIAN - - /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ - R = __QSAX(S, T); - /* S = packed((ya-yc) + (xb- xd), (xa-xc) - (yb-yd)) */ - S = __QASX(S, T); - -#else - - /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ - R = __QASX(S, T); - /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ - S = __QSAX(S, T); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* co1 & si1 are read from SIMD Coefficient pointer */ - C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic)); - /* Butterfly process for the i0+fftLen/2 sample */ - -#ifndef ARM_MATH_BIG_ENDIAN - - /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ - out1 = __SMUSD(C1, S) >> 16u; - /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ - out2 = __SMUADX(C1, S); - -#else - - /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ - out1 = __SMUADX(C1, S) >> 16u; - /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ - out2 = __SMUSD(__QSUB16(0, C1), S); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* writing output(xb', yb') in little endian format */ - _SIMD32_OFFSET(pSrc16 + (2u * i2)) = - ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF); - - - /* co3 & si3 are read from SIMD Coefficient pointer */ - C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic)); - /* Butterfly process for the i0+3fftLen/4 sample */ - -#ifndef ARM_MATH_BIG_ENDIAN - - /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ - out1 = __SMUSD(C3, R) >> 16u; - /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ - out2 = __SMUADX(C3, R); - -#else - - /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ - out1 = __SMUADX(C3, R) >> 16u; - /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ - out2 = __SMUSD(__QSUB16(0, C3), R); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* writing output(xd', yd') in little endian format */ - _SIMD32_OFFSET(pSrc16 + (2u * i3)) = - ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - /* Twiddle coefficients index modifier */ - ic = ic + twidCoefModifier; - - /* Updating input index */ - i0 = i0 + 1u; - - } while(--j); - /* data is in 4.11(q11) format */ - - /* end of first stage process */ - - - /* start of middle stage process */ - - /* Twiddle coefficients index modifier */ - twidCoefModifier <<= 2u; - - /* Calculation of Middle stage */ - for (k = fftLen / 4u; k > 4u; k >>= 2u) - { - /* Initializations for the middle stage */ - n1 = n2; - n2 >>= 2u; - ic = 0u; - - for (j = 0u; j <= (n2 - 1u); j++) - { - /* index calculation for the coefficients */ - C1 = _SIMD32_OFFSET(pCoef16 + (2u * ic)); - C2 = _SIMD32_OFFSET(pCoef16 + (4u * ic)); - C3 = _SIMD32_OFFSET(pCoef16 + (6u * ic)); - - /* Twiddle coefficients index modifier */ - ic = ic + twidCoefModifier; - - /* Butterfly implementation */ - for (i0 = j; i0 < fftLen; i0 += n1) - { - /* index calculation for the input as, */ - /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Reading i0, i0+fftLen/2 inputs */ - /* Read ya (real), xa(imag) input */ - T = _SIMD32_OFFSET(pSrc16 + (2u * i0)); - - /* Read yc (real), xc(imag) input */ - S = _SIMD32_OFFSET(pSrc16 + (2u * i2)); - - /* R = packed( (ya + yc), (xa + xc)) */ - R = __QADD16(T, S); - - /* S = packed((ya - yc), (xa - xc)) */ - S = __QSUB16(T, S); - - /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ - /* Read yb (real), xb(imag) input */ - T = _SIMD32_OFFSET(pSrc16 + (2u * i1)); - - /* Read yd (real), xd(imag) input */ - U = _SIMD32_OFFSET(pSrc16 + (2u * i3)); - - /* T = packed( (yb + yd), (xb + xd)) */ - T = __QADD16(T, U); - - /* writing the butterfly processed i0 sample */ - - /* xa' = xa + xb + xc + xd */ - /* ya' = ya + yb + yc + yd */ - out1 = __SHADD16(R, T); - in = ((int16_t) (out1 & 0xFFFF)) >> 1; - out1 = ((out1 >> 1) & 0xFFFF0000) | (in & 0xFFFF); - _SIMD32_OFFSET(pSrc16 + (2u * i0)) = out1; - - /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */ - R = __SHSUB16(R, T); - -#ifndef ARM_MATH_BIG_ENDIAN - - /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ - out1 = __SMUSD(C2, R) >> 16u; - - /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ - out2 = __SMUADX(C2, R); - -#else - - /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ - out1 = __SMUADX(R, C2) >> 16u; - - /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ - out2 = __SMUSD(__QSUB16(0, C2), R); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* Reading i0+3fftLen/4 */ - /* Read yb (real), xb(imag) input */ - T = _SIMD32_OFFSET(pSrc16 + (2u * i1)); - - /* writing the butterfly processed i0 + fftLen/4 sample */ - /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ - /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ - _SIMD32_OFFSET(pSrc16 + (2u * i1)) = - ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - /* Butterfly calculations */ - - /* Read yd (real), xd(imag) input */ - U = _SIMD32_OFFSET(pSrc16 + (2u * i3)); - - /* T = packed(yb-yd, xb-xd) */ - T = __QSUB16(T, U); - -#ifndef ARM_MATH_BIG_ENDIAN - - /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ - R = __SHSAX(S, T); - - /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ - S = __SHASX(S, T); - - - /* Butterfly process for the i0+fftLen/2 sample */ - out1 = __SMUSD(C1, S) >> 16u; - out2 = __SMUADX(C1, S); - -#else - - /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ - R = __SHASX(S, T); - - /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ - S = __SHSAX(S, T); - - - /* Butterfly process for the i0+fftLen/2 sample */ - out1 = __SMUADX(S, C1) >> 16u; - out2 = __SMUSD(__QSUB16(0, C1), S); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ - /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ - _SIMD32_OFFSET(pSrc16 + (2u * i2)) = - ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - - /* Butterfly process for the i0+3fftLen/4 sample */ - -#ifndef ARM_MATH_BIG_ENDIAN - - out1 = __SMUSD(C3, R) >> 16u; - out2 = __SMUADX(C3, R); - -#else - - out1 = __SMUADX(C3, R) >> 16u; - out2 = __SMUSD(__QSUB16(0, C3), R); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ - /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ - _SIMD32_OFFSET(pSrc16 + (2u * i3)) = - ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); - } - } - /* Twiddle coefficients index modifier */ - twidCoefModifier <<= 2u; - } - /* end of middle stage process */ - - /* data is in 10.6(q6) format for the 1024 point */ - /* data is in 8.8(q8) format for the 256 point */ - /* data is in 6.10(q10) format for the 64 point */ - /* data is in 4.12(q12) format for the 16 point */ - - /* Initializations for the last stage */ - j = fftLen >> 2; - - ptr1 = &pSrc16[0]; - - /* start of last stage process */ - - /* Butterfly implementation */ - do - { - /* Read xa (real), ya(imag) input */ - xaya = *__SIMD32(ptr1)++; - - /* Read xb (real), yb(imag) input */ - xbyb = *__SIMD32(ptr1)++; - - /* Read xc (real), yc(imag) input */ - xcyc = *__SIMD32(ptr1)++; - - /* Read xd (real), yd(imag) input */ - xdyd = *__SIMD32(ptr1)++; - - /* R = packed((ya + yc), (xa + xc)) */ - R = __QADD16(xaya, xcyc); - - /* T = packed((yb + yd), (xb + xd)) */ - T = __QADD16(xbyb, xdyd); - - /* pointer updation for writing */ - ptr1 = ptr1 - 8u; - - - /* xa' = xa + xb + xc + xd */ - /* ya' = ya + yb + yc + yd */ - *__SIMD32(ptr1)++ = __SHADD16(R, T); - - /* T = packed((yb + yd), (xb + xd)) */ - T = __QADD16(xbyb, xdyd); - - /* xc' = (xa-xb+xc-xd) */ - /* yc' = (ya-yb+yc-yd) */ - *__SIMD32(ptr1)++ = __SHSUB16(R, T); - - /* S = packed((ya - yc), (xa - xc)) */ - S = __QSUB16(xaya, xcyc); - - /* Read yd (real), xd(imag) input */ - /* T = packed( (yb - yd), (xb - xd)) */ - U = __QSUB16(xbyb, xdyd); - -#ifndef ARM_MATH_BIG_ENDIAN - - /* xb' = (xa+yb-xc-yd) */ - /* yb' = (ya-xb-yc+xd) */ - *__SIMD32(ptr1)++ = __SHASX(S, U); - - - /* xd' = (xa-yb-xc+yd) */ - /* yd' = (ya+xb-yc-xd) */ - *__SIMD32(ptr1)++ = __SHSAX(S, U); - -#else - - /* xb' = (xa+yb-xc-yd) */ - /* yb' = (ya-xb-yc+xd) */ - *__SIMD32(ptr1)++ = __SHSAX(S, U); - - - /* xd' = (xa-yb-xc+yd) */ - /* yd' = (ya+xb-yc-xd) */ - *__SIMD32(ptr1)++ = __SHASX(S, U); - - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - } while(--j); - - /* end of last stage process */ - - /* output is in 11.5(q5) format for the 1024 point */ - /* output is in 9.7(q7) format for the 256 point */ - /* output is in 7.9(q9) format for the 64 point */ - /* output is in 5.11(q11) format for the 16 point */ - - -#else - - /* Run the below code for Cortex-M0 */ - - q15_t R0, R1, S0, S1, T0, T1, U0, U1; - q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2; - uint32_t n1, n2, ic, i0, i1, i2, i3, j, k; - - /* Total process is divided into three stages */ - - /* process first stage, middle stages, & last stage */ - - /* Initializations for the first stage */ - n2 = fftLen; - n1 = n2; - - /* n2 = fftLen/4 */ - n2 >>= 2u; - - /* Index for twiddle coefficient */ - ic = 0u; - - /* Index for input read and output write */ - i0 = 0u; - - j = n2; - - /* Input is in 1.15(q15) format */ - - /* Start of first stage process */ - do - { - /* Butterfly implementation */ - - /* index calculation for the input as, */ - /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Reading i0, i0+fftLen/2 inputs */ - /* input is down scale by 4 to avoid overflow */ - /* Read ya (real), xa(imag) input */ - T0 = pSrc16[i0 * 2u] >> 2u; - T1 = pSrc16[(i0 * 2u) + 1u] >> 2u; - /* input is down scale by 4 to avoid overflow */ - /* Read yc (real), xc(imag) input */ - S0 = pSrc16[i2 * 2u] >> 2u; - S1 = pSrc16[(i2 * 2u) + 1u] >> 2u; - - /* R0 = (ya + yc), R1 = (xa + xc) */ - R0 = __SSAT(T0 + S0, 16u); - R1 = __SSAT(T1 + S1, 16u); - /* S0 = (ya - yc), S1 = (xa - xc) */ - S0 = __SSAT(T0 - S0, 16u); - S1 = __SSAT(T1 - S1, 16u); - - /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ - /* input is down scale by 4 to avoid overflow */ - /* Read yb (real), xb(imag) input */ - T0 = pSrc16[i1 * 2u] >> 2u; - T1 = pSrc16[(i1 * 2u) + 1u] >> 2u; - /* Read yd (real), xd(imag) input */ - /* input is down scale by 4 to avoid overflow */ - U0 = pSrc16[i3 * 2u] >> 2u; - U1 = pSrc16[(i3 * 2u) + 1u] >> 2u; - - /* T0 = (yb + yd), T1 = (xb + xd) */ - T0 = __SSAT(T0 + U0, 16u); - T1 = __SSAT(T1 + U1, 16u); - - /* writing the butterfly processed i0 sample */ - /* xa' = xa + xb + xc + xd */ - /* ya' = ya + yb + yc + yd */ - pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u); - pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u); - - /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc)- (xb + xd) */ - R0 = __SSAT(R0 - T0, 16u); - R1 = __SSAT(R1 - T1, 16u); - /* co2 & si2 are read from Coefficient pointer */ - Co2 = pCoef16[2u * ic * 2u]; - Si2 = pCoef16[(2u * ic * 2u) + 1u]; - /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */ - out1 = (short) ((Co2 * R0 - Si2 * R1) >> 16u); - /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */ - out2 = (short) ((Si2 * R0 + Co2 * R1) >> 16u); - - /* Reading i0+fftLen/4 */ - /* input is down scale by 4 to avoid overflow */ - /* T0 = yb, T1 = xb */ - T0 = pSrc16[i1 * 2u] >> 2u; - T1 = pSrc16[(i1 * 2u) + 1u] >> 2u; - - /* writing the butterfly processed i0 + fftLen/4 sample */ - /* writing output(xc', yc') in little endian format */ - pSrc16[i1 * 2u] = out1; - pSrc16[(i1 * 2u) + 1u] = out2; - - /* Butterfly calculations */ - /* input is down scale by 4 to avoid overflow */ - /* U0 = yd, U1 = xd) */ - U0 = pSrc16[i3 * 2u] >> 2u; - U1 = pSrc16[(i3 * 2u) + 1u] >> 2u; - - /* T0 = yb-yd, T1 = xb-xd) */ - T0 = __SSAT(T0 - U0, 16u); - T1 = __SSAT(T1 - U1, 16u); - /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */ - R0 = (short) __SSAT((q31_t) (S0 + T1), 16); - R1 = (short) __SSAT((q31_t) (S1 - T0), 16); - /* S = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */ - S0 = (short) __SSAT((q31_t) (S0 - T1), 16); - S1 = (short) __SSAT((q31_t) (S1 + T0), 16); - - /* co1 & si1 are read from Coefficient pointer */ - Co1 = pCoef16[ic * 2u]; - Si1 = pCoef16[(ic * 2u) + 1u]; - /* Butterfly process for the i0+fftLen/2 sample */ - /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */ - out1 = (short) ((Co1 * S0 - Si1 * S1) >> 16u); - /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */ - out2 = (short) ((Si1 * S0 + Co1 * S1) >> 16u); - /* writing output(xb', yb') in little endian format */ - pSrc16[i2 * 2u] = out1; - pSrc16[(i2 * 2u) + 1u] = out2; - - /* Co3 & si3 are read from Coefficient pointer */ - Co3 = pCoef16[3u * ic * 2u]; - Si3 = pCoef16[(3u * ic * 2u) + 1u]; - /* Butterfly process for the i0+3fftLen/4 sample */ - /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */ - out1 = (short) ((Co3 * R0 - Si3 * R1) >> 16u); - /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */ - out2 = (short) ((Si3 * R0 + Co3 * R1) >> 16u); - /* writing output(xd', yd') in little endian format */ - pSrc16[i3 * 2u] = out1; - pSrc16[(i3 * 2u) + 1u] = out2; - - /* Twiddle coefficients index modifier */ - ic = ic + twidCoefModifier; - - /* Updating input index */ - i0 = i0 + 1u; - - } while(--j); - - /* End of first stage process */ - - /* data is in 4.11(q11) format */ - - - /* Start of Middle stage process */ - - /* Twiddle coefficients index modifier */ - twidCoefModifier <<= 2u; - - /* Calculation of Middle stage */ - for (k = fftLen / 4u; k > 4u; k >>= 2u) - { - /* Initializations for the middle stage */ - n1 = n2; - n2 >>= 2u; - ic = 0u; - - for (j = 0u; j <= (n2 - 1u); j++) - { - /* index calculation for the coefficients */ - Co1 = pCoef16[ic * 2u]; - Si1 = pCoef16[(ic * 2u) + 1u]; - Co2 = pCoef16[2u * ic * 2u]; - Si2 = pCoef16[2u * ic * 2u + 1u]; - Co3 = pCoef16[3u * ic * 2u]; - Si3 = pCoef16[(3u * ic * 2u) + 1u]; - - /* Twiddle coefficients index modifier */ - ic = ic + twidCoefModifier; - - /* Butterfly implementation */ - for (i0 = j; i0 < fftLen; i0 += n1) - { - /* index calculation for the input as, */ - /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Reading i0, i0+fftLen/2 inputs */ - /* Read ya (real), xa(imag) input */ - T0 = pSrc16[i0 * 2u]; - T1 = pSrc16[(i0 * 2u) + 1u]; - - /* Read yc (real), xc(imag) input */ - S0 = pSrc16[i2 * 2u]; - S1 = pSrc16[(i2 * 2u) + 1u]; - - - /* R0 = (ya + yc), R1 = (xa + xc) */ - R0 = __SSAT(T0 + S0, 16u); - R1 = __SSAT(T1 + S1, 16u); - /* S0 = (ya - yc), S1 = (xa - xc) */ - S0 = __SSAT(T0 - S0, 16u); - S1 = __SSAT(T1 - S1, 16u); - - /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ - /* Read yb (real), xb(imag) input */ - T0 = pSrc16[i1 * 2u]; - T1 = pSrc16[(i1 * 2u) + 1u]; - - /* Read yd (real), xd(imag) input */ - U0 = pSrc16[i3 * 2u]; - U1 = pSrc16[(i3 * 2u) + 1u]; - - /* T0 = (yb + yd), T1 = (xb + xd) */ - T0 = __SSAT(T0 + U0, 16u); - T1 = __SSAT(T1 + U1, 16u); - - /* writing the butterfly processed i0 sample */ - /* xa' = xa + xb + xc + xd */ - /* ya' = ya + yb + yc + yd */ - pSrc16[i0 * 2u] = ((R0 >> 1u) + (T0 >> 1u)) >> 1u; - pSrc16[(i0 * 2u) + 1u] = ((R1 >> 1u) + (T1 >> 1u)) >> 1u; - - /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ - R0 = (R0 >> 1u) - (T0 >> 1u); - R1 = (R1 >> 1u) - (T1 >> 1u); - - /* (ya-yb+yc-yd)* (si2) - (xa-xb+xc-xd)* co2 */ - out1 = (short) ((Co2 * R0 - Si2 * R1) >> 16); - /* (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */ - out2 = (short) ((Si2 * R0 + Co2 * R1) >> 16); - - /* Reading i0+3fftLen/4 */ - /* Read yb (real), xb(imag) input */ - T0 = pSrc16[i1 * 2u]; - T1 = pSrc16[(i1 * 2u) + 1u]; - - /* writing the butterfly processed i0 + fftLen/4 sample */ - /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */ - /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */ - pSrc16[i1 * 2u] = out1; - pSrc16[(i1 * 2u) + 1u] = out2; - - /* Butterfly calculations */ - /* Read yd (real), xd(imag) input */ - U0 = pSrc16[i3 * 2u]; - U1 = pSrc16[(i3 * 2u) + 1u]; - - /* T0 = yb-yd, T1 = xb-xd) */ - T0 = __SSAT(T0 - U0, 16u); - T1 = __SSAT(T1 - U1, 16u); - - /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */ - R0 = (S0 >> 1u) + (T1 >> 1u); - R1 = (S1 >> 1u) - (T0 >> 1u); - - /* S1 = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */ - S0 = (S0 >> 1u) - (T1 >> 1u); - S1 = (S1 >> 1u) + (T0 >> 1u); - - /* Butterfly process for the i0+fftLen/2 sample */ - out1 = (short) ((Co1 * S0 - Si1 * S1) >> 16u); - out2 = (short) ((Si1 * S0 + Co1 * S1) >> 16u); - /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */ - /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */ - pSrc16[i2 * 2u] = out1; - pSrc16[(i2 * 2u) + 1u] = out2; - - /* Butterfly process for the i0+3fftLen/4 sample */ - out1 = (short) ((Co3 * R0 - Si3 * R1) >> 16u); - - out2 = (short) ((Si3 * R0 + Co3 * R1) >> 16u); - /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */ - /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */ - pSrc16[i3 * 2u] = out1; - pSrc16[(i3 * 2u) + 1u] = out2; - - - } - } - /* Twiddle coefficients index modifier */ - twidCoefModifier <<= 2u; - } - /* End of Middle stages process */ - - - /* data is in 10.6(q6) format for the 1024 point */ - /* data is in 8.8(q8) format for the 256 point */ - /* data is in 6.10(q10) format for the 64 point */ - /* data is in 4.12(q12) format for the 16 point */ - - /* start of last stage process */ - - - /* Initializations for the last stage */ - n1 = n2; - n2 >>= 2u; - - /* Butterfly implementation */ - for (i0 = 0u; i0 <= (fftLen - n1); i0 += n1) - { - /* index calculation for the input as, */ - /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Reading i0, i0+fftLen/2 inputs */ - /* Read ya (real), xa(imag) input */ - T0 = pSrc16[i0 * 2u]; - T1 = pSrc16[(i0 * 2u) + 1u]; - /* Read yc (real), xc(imag) input */ - S0 = pSrc16[i2 * 2u]; - S1 = pSrc16[(i2 * 2u) + 1u]; - - /* R0 = (ya + yc), R1 = (xa + xc) */ - R0 = __SSAT(T0 + S0, 16u); - R1 = __SSAT(T1 + S1, 16u); - /* S0 = (ya - yc), S1 = (xa - xc) */ - S0 = __SSAT(T0 - S0, 16u); - S1 = __SSAT(T1 - S1, 16u); - - /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ - /* Read yb (real), xb(imag) input */ - T0 = pSrc16[i1 * 2u]; - T1 = pSrc16[(i1 * 2u) + 1u]; - /* Read yd (real), xd(imag) input */ - U0 = pSrc16[i3 * 2u]; - U1 = pSrc16[(i3 * 2u) + 1u]; - - /* T0 = (yb + yd), T1 = (xb + xd) */ - T0 = __SSAT(T0 + U0, 16u); - T1 = __SSAT(T1 + U1, 16u); - - /* writing the butterfly processed i0 sample */ - /* xa' = xa + xb + xc + xd */ - /* ya' = ya + yb + yc + yd */ - pSrc16[i0 * 2u] = (R0 >> 1u) + (T0 >> 1u); - pSrc16[(i0 * 2u) + 1u] = (R1 >> 1u) + (T1 >> 1u); - - /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ - R0 = (R0 >> 1u) - (T0 >> 1u); - R1 = (R1 >> 1u) - (T1 >> 1u); - - /* Read yb (real), xb(imag) input */ - T0 = pSrc16[i1 * 2u]; - T1 = pSrc16[(i1 * 2u) + 1u]; - - /* writing the butterfly processed i0 + fftLen/4 sample */ - /* xc' = (xa-xb+xc-xd) */ - /* yc' = (ya-yb+yc-yd) */ - pSrc16[i1 * 2u] = R0; - pSrc16[(i1 * 2u) + 1u] = R1; - - /* Read yd (real), xd(imag) input */ - U0 = pSrc16[i3 * 2u]; - U1 = pSrc16[(i3 * 2u) + 1u]; - /* T0 = (yb - yd), T1 = (xb - xd) */ - T0 = __SSAT(T0 - U0, 16u); - T1 = __SSAT(T1 - U1, 16u); - - /* writing the butterfly processed i0 + fftLen/2 sample */ - /* xb' = (xa-yb-xc+yd) */ - /* yb' = (ya+xb-yc-xd) */ - pSrc16[i2 * 2u] = (S0 >> 1u) - (T1 >> 1u); - pSrc16[(i2 * 2u) + 1u] = (S1 >> 1u) + (T0 >> 1u); - - - /* writing the butterfly processed i0 + 3fftLen/4 sample */ - /* xd' = (xa+yb-xc-yd) */ - /* yd' = (ya-xb-yc+xd) */ - pSrc16[i3 * 2u] = (S0 >> 1u) + (T1 >> 1u); - pSrc16[(i3 * 2u) + 1u] = (S1 >> 1u) - (T0 >> 1u); - } - /* end of last stage process */ - - /* output is in 11.5(q5) format for the 1024 point */ - /* output is in 9.7(q7) format for the 256 point */ - /* output is in 7.9(q9) format for the 64 point */ - /* output is in 5.11(q11) format for the 16 point */ - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -}
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix4_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,911 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_radix4_q31.c -* -* Description: This file has function definition of Radix-4 FFT & IFFT function and -* In-place bit reversal using bit reversal table -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -void arm_radix4_butterfly_inverse_q31( -q31_t * pSrc, -uint32_t fftLen, -q31_t * pCoef, -uint32_t twidCoefModifier); - -void arm_radix4_butterfly_q31( -q31_t * pSrc, -uint32_t fftLen, -q31_t * pCoef, -uint32_t twidCoefModifier); - -void arm_bitreversal_q31( -q31_t * pSrc, -uint32_t fftLen, -uint16_t bitRevFactor, -uint16_t * pBitRevTab); - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup ComplexFFT - * @{ - */ - -/** - * @details - * @brief Processing function for the Q31 CFFT/CIFFT. - * @param[in] *S points to an instance of the Q31 CFFT/CIFFT structure. - * @param[in, out] *pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place. - * @return none. - * - * \par Input and output formats: - * \par - * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. - * Hence the output format is different for different FFT sizes. - * The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT: - * \par - * \image html CFFTQ31.gif "Input and Output Formats for Q31 CFFT" - * \image html CIFFTQ31.gif "Input and Output Formats for Q31 CIFFT" - * - */ - -void arm_cfft_radix4_q31( - const arm_cfft_radix4_instance_q31 * S, - q31_t * pSrc) -{ - if(S->ifftFlag == 1u) - { - /* Complex IFFT radix-4 */ - arm_radix4_butterfly_inverse_q31(pSrc, S->fftLen, S->pTwiddle, - S->twidCoefModifier); - } - else - { - /* Complex FFT radix-4 */ - arm_radix4_butterfly_q31(pSrc, S->fftLen, S->pTwiddle, - S->twidCoefModifier); - } - - - if(S->bitReverseFlag == 1u) - { - /* Bit Reversal */ - arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); - } - -} - -/** - * @} end of ComplexFFT group - */ - -/* -* Radix-4 FFT algorithm used is : -* -* Input real and imaginary data: -* x(n) = xa + j * ya -* x(n+N/4 ) = xb + j * yb -* x(n+N/2 ) = xc + j * yc -* x(n+3N 4) = xd + j * yd -* -* -* Output real and imaginary data: -* x(4r) = xa'+ j * ya' -* x(4r+1) = xb'+ j * yb' -* x(4r+2) = xc'+ j * yc' -* x(4r+3) = xd'+ j * yd' -* -* -* Twiddle factors for radix-4 FFT: -* Wn = co1 + j * (- si1) -* W2n = co2 + j * (- si2) -* W3n = co3 + j * (- si3) -* -* Butterfly implementation: -* xa' = xa + xb + xc + xd -* ya' = ya + yb + yc + yd -* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) -* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) -* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) -* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) -* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) -* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) -* -*/ - -/** - * @brief Core function for the Q31 CFFT butterfly process. - * @param[in, out] *pSrc points to the in-place buffer of Q31 data type. - * @param[in] fftLen length of the FFT. - * @param[in] *pCoef points to twiddle coefficient buffer. - * @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. - * @return none. - */ - -void arm_radix4_butterfly_q31( - q31_t * pSrc, - uint32_t fftLen, - q31_t * pCoef, - uint32_t twidCoefModifier) -{ - uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k; - q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3; - - q31_t xa, xb, xc, xd; - q31_t ya, yb, yc, yd; - q31_t xa_out, xb_out, xc_out, xd_out; - q31_t ya_out, yb_out, yc_out, yd_out; - - q31_t *ptr1; - q63_t xaya, xbyb, xcyc, xdyd; - /* Total process is divided into three stages */ - - /* process first stage, middle stages, & last stage */ - - - /* start of first stage process */ - - /* Initializations for the first stage */ - n2 = fftLen; - n1 = n2; - /* n2 = fftLen/4 */ - n2 >>= 2u; - i0 = 0u; - ia1 = 0u; - - j = n2; - - /* Calculation of first stage */ - do - { - /* index calculation for the input as, */ - /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* input is in 1.31(q31) format and provide 4 guard bits for the input */ - - /* Butterfly implementation */ - /* xa + xc */ - r1 = (pSrc[(2u * i0)] >> 4u) + (pSrc[(2u * i2)] >> 4u); - /* xa - xc */ - r2 = (pSrc[2u * i0] >> 4u) - (pSrc[2u * i2] >> 4u); - - /* xb + xd */ - t1 = (pSrc[2u * i1] >> 4u) + (pSrc[2u * i3] >> 4u); - - /* ya + yc */ - s1 = (pSrc[(2u * i0) + 1u] >> 4u) + (pSrc[(2u * i2) + 1u] >> 4u); - /* ya - yc */ - s2 = (pSrc[(2u * i0) + 1u] >> 4u) - (pSrc[(2u * i2) + 1u] >> 4u); - - /* xa' = xa + xb + xc + xd */ - pSrc[2u * i0] = (r1 + t1); - /* (xa + xc) - (xb + xd) */ - r1 = r1 - t1; - /* yb + yd */ - t2 = (pSrc[(2u * i1) + 1u] >> 4u) + (pSrc[(2u * i3) + 1u] >> 4u); - - /* ya' = ya + yb + yc + yd */ - pSrc[(2u * i0) + 1u] = (s1 + t2); - - /* (ya + yc) - (yb + yd) */ - s1 = s1 - t2; - - /* yb - yd */ - t1 = (pSrc[(2u * i1) + 1u] >> 4u) - (pSrc[(2u * i3) + 1u] >> 4u); - /* xb - xd */ - t2 = (pSrc[2u * i1] >> 4u) - (pSrc[2u * i3] >> 4u); - - /* index calculation for the coefficients */ - ia2 = 2u * ia1; - co2 = pCoef[ia2 * 2u]; - si2 = pCoef[(ia2 * 2u) + 1u]; - - /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ - pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) + - ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u; - - /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ - pSrc[(2u * i1) + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) - - ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u; - - /* (xa - xc) + (yb - yd) */ - r1 = r2 + t1; - /* (xa - xc) - (yb - yd) */ - r2 = r2 - t1; - - /* (ya - yc) - (xb - xd) */ - s1 = s2 - t2; - /* (ya - yc) + (xb - xd) */ - s2 = s2 + t2; - - co1 = pCoef[ia1 * 2u]; - si1 = pCoef[(ia1 * 2u) + 1u]; - - /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ - pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) + - ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u; - - /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ - pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) - - ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u; - - /* index calculation for the coefficients */ - ia3 = 3u * ia1; - co3 = pCoef[ia3 * 2u]; - si3 = pCoef[(ia3 * 2u) + 1u]; - - /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ - pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) + - ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u; - - /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ - pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) - - ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u; - - /* Twiddle coefficients index modifier */ - ia1 = ia1 + twidCoefModifier; - - /* Updating input index */ - i0 = i0 + 1u; - - } while(--j); - - /* end of first stage process */ - - /* data is in 5.27(q27) format */ - - - /* start of Middle stages process */ - - - /* each stage in middle stages provides two down scaling of the input */ - - twidCoefModifier <<= 2u; - - - for (k = fftLen / 4u; k > 4u; k >>= 2u) - { - /* Initializations for the first stage */ - n1 = n2; - n2 >>= 2u; - ia1 = 0u; - - /* Calculation of first stage */ - for (j = 0u; j <= (n2 - 1u); j++) - { - /* index calculation for the coefficients */ - ia2 = ia1 + ia1; - ia3 = ia2 + ia1; - co1 = pCoef[ia1 * 2u]; - si1 = pCoef[(ia1 * 2u) + 1u]; - co2 = pCoef[ia2 * 2u]; - si2 = pCoef[(ia2 * 2u) + 1u]; - co3 = pCoef[ia3 * 2u]; - si3 = pCoef[(ia3 * 2u) + 1u]; - /* Twiddle coefficients index modifier */ - ia1 = ia1 + twidCoefModifier; - - for (i0 = j; i0 < fftLen; i0 += n1) - { - /* index calculation for the input as, */ - /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Butterfly implementation */ - /* xa + xc */ - r1 = pSrc[2u * i0] + pSrc[2u * i2]; - /* xa - xc */ - r2 = pSrc[2u * i0] - pSrc[2u * i2]; - - /* ya + yc */ - s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u]; - /* ya - yc */ - s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u]; - - /* xb + xd */ - t1 = pSrc[2u * i1] + pSrc[2u * i3]; - - /* xa' = xa + xb + xc + xd */ - pSrc[2u * i0] = (r1 + t1) >> 2u; - /* xa + xc -(xb + xd) */ - r1 = r1 - t1; - - /* yb + yd */ - t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u]; - /* ya' = ya + yb + yc + yd */ - pSrc[(2u * i0) + 1u] = (s1 + t2) >> 2u; - - /* (ya + yc) - (yb + yd) */ - s1 = s1 - t2; - - /* (yb - yd) */ - t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u]; - /* (xb - xd) */ - t2 = pSrc[2u * i1] - pSrc[2u * i3]; - - /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ - pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) + - ((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1u; - - /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ - pSrc[(2u * i1) + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) - - ((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1u; - - /* (xa - xc) + (yb - yd) */ - r1 = r2 + t1; - /* (xa - xc) - (yb - yd) */ - r2 = r2 - t1; - - /* (ya - yc) - (xb - xd) */ - s1 = s2 - t2; - /* (ya - yc) + (xb - xd) */ - s2 = s2 + t2; - - /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ - pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) + - ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u; - - /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ - pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) - - ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u; - - /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ - pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) + - ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u; - - /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ - pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) - - ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u; - } - } - twidCoefModifier <<= 2u; - } - - /* End of Middle stages process */ - - /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */ - /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */ - /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */ - /* data is in 5.27(q27) format for the 16 point as there are no middle stages */ - - - /* start of Last stage process */ - /* Initializations for the last stage */ - j = fftLen >> 2; - ptr1 = &pSrc[0]; - - /* Calculations of last stage */ - do - { - -#ifndef ARM_MATH_BIG_ENDIAN - - /* Read xa (real), ya(imag) input */ - xaya = *__SIMD64(ptr1)++; - xa = (q31_t) xaya; - ya = (q31_t) (xaya >> 32); - - /* Read xb (real), yb(imag) input */ - xbyb = *__SIMD64(ptr1)++; - xb = (q31_t) xbyb; - yb = (q31_t) (xbyb >> 32); - - /* Read xc (real), yc(imag) input */ - xcyc = *__SIMD64(ptr1)++; - xc = (q31_t) xcyc; - yc = (q31_t) (xcyc >> 32); - - /* Read xc (real), yc(imag) input */ - xdyd = *__SIMD64(ptr1)++; - xd = (q31_t) xdyd; - yd = (q31_t) (xdyd >> 32); - -#else - - /* Read xa (real), ya(imag) input */ - xaya = *__SIMD64(ptr1)++; - ya = (q31_t) xaya; - xa = (q31_t) (xaya >> 32); - - /* Read xb (real), yb(imag) input */ - xbyb = *__SIMD64(ptr1)++; - yb = (q31_t) xbyb; - xb = (q31_t) (xbyb >> 32); - - /* Read xc (real), yc(imag) input */ - xcyc = *__SIMD64(ptr1)++; - yc = (q31_t) xcyc; - xc = (q31_t) (xcyc >> 32); - - /* Read xc (real), yc(imag) input */ - xdyd = *__SIMD64(ptr1)++; - yd = (q31_t) xdyd; - xd = (q31_t) (xdyd >> 32); - - -#endif - - /* xa' = xa + xb + xc + xd */ - xa_out = xa + xb + xc + xd; - - /* ya' = ya + yb + yc + yd */ - ya_out = ya + yb + yc + yd; - - /* pointer updation for writing */ - ptr1 = ptr1 - 8u; - - /* writing xa' and ya' */ - *ptr1++ = xa_out; - *ptr1++ = ya_out; - - xc_out = (xa - xb + xc - xd); - yc_out = (ya - yb + yc - yd); - - /* writing xc' and yc' */ - *ptr1++ = xc_out; - *ptr1++ = yc_out; - - xb_out = (xa + yb - xc - yd); - yb_out = (ya - xb - yc + xd); - - /* writing xb' and yb' */ - *ptr1++ = xb_out; - *ptr1++ = yb_out; - - xd_out = (xa - yb - xc + yd); - yd_out = (ya + xb - yc - xd); - - /* writing xd' and yd' */ - *ptr1++ = xd_out; - *ptr1++ = yd_out; - - - } while(--j); - - /* output is in 11.21(q21) format for the 1024 point */ - /* output is in 9.23(q23) format for the 256 point */ - /* output is in 7.25(q25) format for the 64 point */ - /* output is in 5.27(q27) format for the 16 point */ - - /* End of last stage process */ - -} - - -/** - * @brief Core function for the Q31 CIFFT butterfly process. - * @param[in, out] *pSrc points to the in-place buffer of Q31 data type. - * @param[in] fftLen length of the FFT. - * @param[in] *pCoef points to twiddle coefficient buffer. - * @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. - * @return none. - */ - - -/* -* Radix-4 IFFT algorithm used is : -* -* CIFFT uses same twiddle coefficients as CFFT Function -* x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4] -* -* -* IFFT is implemented with following changes in equations from FFT -* -* Input real and imaginary data: -* x(n) = xa + j * ya -* x(n+N/4 ) = xb + j * yb -* x(n+N/2 ) = xc + j * yc -* x(n+3N 4) = xd + j * yd -* -* -* Output real and imaginary data: -* x(4r) = xa'+ j * ya' -* x(4r+1) = xb'+ j * yb' -* x(4r+2) = xc'+ j * yc' -* x(4r+3) = xd'+ j * yd' -* -* -* Twiddle factors for radix-4 IFFT: -* Wn = co1 + j * (si1) -* W2n = co2 + j * (si2) -* W3n = co3 + j * (si3) - -* The real and imaginary output values for the radix-4 butterfly are -* xa' = xa + xb + xc + xd -* ya' = ya + yb + yc + yd -* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) -* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) -* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) -* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) -* xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3) -* yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3) -* -*/ - -void arm_radix4_butterfly_inverse_q31( - q31_t * pSrc, - uint32_t fftLen, - q31_t * pCoef, - uint32_t twidCoefModifier) -{ - uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k; - q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3; - q31_t xa, xb, xc, xd; - q31_t ya, yb, yc, yd; - q31_t xa_out, xb_out, xc_out, xd_out; - q31_t ya_out, yb_out, yc_out, yd_out; - - q31_t *ptr1; - q63_t xaya, xbyb, xcyc, xdyd; - - /* input is be 1.31(q31) format for all FFT sizes */ - /* Total process is divided into three stages */ - /* process first stage, middle stages, & last stage */ - - /* Start of first stage process */ - - /* Initializations for the first stage */ - n2 = fftLen; - n1 = n2; - /* n2 = fftLen/4 */ - n2 >>= 2u; - i0 = 0u; - ia1 = 0u; - - j = n2; - - do - { - - /* input is in 1.31(q31) format and provide 4 guard bits for the input */ - - /* index calculation for the input as, */ - /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Butterfly implementation */ - /* xa + xc */ - r1 = (pSrc[2u * i0] >> 4u) + (pSrc[2u * i2] >> 4u); - /* xa - xc */ - r2 = (pSrc[2u * i0] >> 4u) - (pSrc[2u * i2] >> 4u); - - /* xb + xd */ - t1 = (pSrc[2u * i1] >> 4u) + (pSrc[2u * i3] >> 4u); - - /* ya + yc */ - s1 = (pSrc[(2u * i0) + 1u] >> 4u) + (pSrc[(2u * i2) + 1u] >> 4u); - /* ya - yc */ - s2 = (pSrc[(2u * i0) + 1u] >> 4u) - (pSrc[(2u * i2) + 1u] >> 4u); - - /* xa' = xa + xb + xc + xd */ - pSrc[2u * i0] = (r1 + t1); - /* (xa + xc) - (xb + xd) */ - r1 = r1 - t1; - /* yb + yd */ - t2 = (pSrc[(2u * i1) + 1u] >> 4u) + (pSrc[(2u * i3) + 1u] >> 4u); - /* ya' = ya + yb + yc + yd */ - pSrc[(2u * i0) + 1u] = (s1 + t2); - - /* (ya + yc) - (yb + yd) */ - s1 = s1 - t2; - - /* yb - yd */ - t1 = (pSrc[(2u * i1) + 1u] >> 4u) - (pSrc[(2u * i3) + 1u] >> 4u); - /* xb - xd */ - t2 = (pSrc[2u * i1] >> 4u) - (pSrc[2u * i3] >> 4u); - - /* index calculation for the coefficients */ - ia2 = 2u * ia1; - co2 = pCoef[ia2 * 2u]; - si2 = pCoef[(ia2 * 2u) + 1u]; - - /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ - pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) - - ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1u; - - /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ - pSrc[2u * i1 + 1u] = (((int32_t) (((q63_t) s1 * co2) >> 32)) + - ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1u; - - /* (xa - xc) - (yb - yd) */ - r1 = r2 - t1; - /* (xa - xc) + (yb - yd) */ - r2 = r2 + t1; - - /* (ya - yc) + (xb - xd) */ - s1 = s2 + t2; - /* (ya - yc) - (xb - xd) */ - s2 = s2 - t2; - - co1 = pCoef[ia1 * 2u]; - si1 = pCoef[(ia1 * 2u) + 1u]; - - /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ - pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) - - ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1u; - - /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ - pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) + - ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1u; - - /* index calculation for the coefficients */ - ia3 = 3u * ia1; - co3 = pCoef[ia3 * 2u]; - si3 = pCoef[(ia3 * 2u) + 1u]; - - /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ - pSrc[2u * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) - - ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1u; - - /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ - pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) + - ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1u; - - /* Twiddle coefficients index modifier */ - ia1 = ia1 + twidCoefModifier; - - /* Updating input index */ - i0 = i0 + 1u; - - } while(--j); - - /* data is in 5.27(q27) format */ - /* each stage provides two down scaling of the input */ - - - /* Start of Middle stages process */ - - twidCoefModifier <<= 2u; - - /* Calculation of second stage to excluding last stage */ - for (k = fftLen / 4u; k > 4u; k >>= 2u) - { - /* Initializations for the first stage */ - n1 = n2; - n2 >>= 2u; - ia1 = 0u; - - for (j = 0; j <= (n2 - 1u); j++) - { - /* index calculation for the coefficients */ - ia2 = ia1 + ia1; - ia3 = ia2 + ia1; - co1 = pCoef[ia1 * 2u]; - si1 = pCoef[(ia1 * 2u) + 1u]; - co2 = pCoef[ia2 * 2u]; - si2 = pCoef[(ia2 * 2u) + 1u]; - co3 = pCoef[ia3 * 2u]; - si3 = pCoef[(ia3 * 2u) + 1u]; - /* Twiddle coefficients index modifier */ - ia1 = ia1 + twidCoefModifier; - - for (i0 = j; i0 < fftLen; i0 += n1) - { - /* index calculation for the input as, */ - /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2u], pSrc[i0 + 3fftLen/4] */ - i1 = i0 + n2; - i2 = i1 + n2; - i3 = i2 + n2; - - /* Butterfly implementation */ - /* xa + xc */ - r1 = pSrc[2u * i0] + pSrc[2u * i2]; - /* xa - xc */ - r2 = pSrc[2u * i0] - pSrc[2u * i2]; - - /* ya + yc */ - s1 = pSrc[(2u * i0) + 1u] + pSrc[(2u * i2) + 1u]; - /* ya - yc */ - s2 = pSrc[(2u * i0) + 1u] - pSrc[(2u * i2) + 1u]; - - /* xb + xd */ - t1 = pSrc[2u * i1] + pSrc[2u * i3]; - - /* xa' = xa + xb + xc + xd */ - pSrc[2u * i0] = (r1 + t1) >> 2u; - /* xa + xc -(xb + xd) */ - r1 = r1 - t1; - /* yb + yd */ - t2 = pSrc[(2u * i1) + 1u] + pSrc[(2u * i3) + 1u]; - /* ya' = ya + yb + yc + yd */ - pSrc[(2u * i0) + 1u] = (s1 + t2) >> 2u; - - /* (ya + yc) - (yb + yd) */ - s1 = s1 - t2; - - /* (yb - yd) */ - t1 = pSrc[(2u * i1) + 1u] - pSrc[(2u * i3) + 1u]; - /* (xb - xd) */ - t2 = pSrc[2u * i1] - pSrc[2u * i3]; - - /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ - pSrc[2u * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32u)) - - ((int32_t) (((q63_t) s1 * si2) >> 32u))) >> 1u; - - /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ - pSrc[(2u * i1) + 1u] = - (((int32_t) (((q63_t) s1 * co2) >> 32u)) + - ((int32_t) (((q63_t) r1 * si2) >> 32u))) >> 1u; - - /* (xa - xc) - (yb - yd) */ - r1 = r2 - t1; - /* (xa - xc) + (yb - yd) */ - r2 = r2 + t1; - - /* (ya - yc) + (xb - xd) */ - s1 = s2 + t2; - /* (ya - yc) - (xb - xd) */ - s2 = s2 - t2; - - /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ - pSrc[2u * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) - - ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1u; - - /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ - pSrc[(2u * i2) + 1u] = (((int32_t) (((q63_t) s1 * co1) >> 32)) + - ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1u; - - /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ - pSrc[(2u * i3)] = (((int32_t) (((q63_t) r2 * co3) >> 32)) - - ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1u; - - /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ - pSrc[(2u * i3) + 1u] = (((int32_t) (((q63_t) s2 * co3) >> 32)) + - ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1u; - } - } - twidCoefModifier <<= 2u; - } - - /* End of Middle stages process */ - - /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */ - /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */ - /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */ - /* data is in 5.27(q27) format for the 16 point as there are no middle stages */ - - - /* Start of last stage process */ - - - /* Initializations for the last stage */ - j = fftLen >> 2; - ptr1 = &pSrc[0]; - - /* Calculations of last stage */ - do - { -#ifndef ARM_MATH_BIG_ENDIAN - /* Read xa (real), ya(imag) input */ - xaya = *__SIMD64(ptr1)++; - xa = (q31_t) xaya; - ya = (q31_t) (xaya >> 32); - - /* Read xb (real), yb(imag) input */ - xbyb = *__SIMD64(ptr1)++; - xb = (q31_t) xbyb; - yb = (q31_t) (xbyb >> 32); - - /* Read xc (real), yc(imag) input */ - xcyc = *__SIMD64(ptr1)++; - xc = (q31_t) xcyc; - yc = (q31_t) (xcyc >> 32); - - /* Read xc (real), yc(imag) input */ - xdyd = *__SIMD64(ptr1)++; - xd = (q31_t) xdyd; - yd = (q31_t) (xdyd >> 32); - -#else - - /* Read xa (real), ya(imag) input */ - xaya = *__SIMD64(ptr1)++; - ya = (q31_t) xaya; - xa = (q31_t) (xaya >> 32); - - /* Read xb (real), yb(imag) input */ - xbyb = *__SIMD64(ptr1)++; - yb = (q31_t) xbyb; - xb = (q31_t) (xbyb >> 32); - - /* Read xc (real), yc(imag) input */ - xcyc = *__SIMD64(ptr1)++; - yc = (q31_t) xcyc; - xc = (q31_t) (xcyc >> 32); - - /* Read xc (real), yc(imag) input */ - xdyd = *__SIMD64(ptr1)++; - yd = (q31_t) xdyd; - xd = (q31_t) (xdyd >> 32); - - -#endif - - /* xa' = xa + xb + xc + xd */ - xa_out = xa + xb + xc + xd; - - /* ya' = ya + yb + yc + yd */ - ya_out = ya + yb + yc + yd; - - /* pointer updation for writing */ - ptr1 = ptr1 - 8u; - - /* writing xa' and ya' */ - *ptr1++ = xa_out; - *ptr1++ = ya_out; - - xc_out = (xa - xb + xc - xd); - yc_out = (ya - yb + yc - yd); - - /* writing xc' and yc' */ - *ptr1++ = xc_out; - *ptr1++ = yc_out; - - xb_out = (xa - yb - xc + yd); - yb_out = (ya + xb - yc - xd); - - /* writing xb' and yb' */ - *ptr1++ = xb_out; - *ptr1++ = yb_out; - - xd_out = (xa + yb - xc - yd); - yd_out = (ya - xb - yc + xd); - - /* writing xd' and yd' */ - *ptr1++ = xd_out; - *ptr1++ = yd_out; - - - } while(--j); - - /* output is in 11.21(q21) format for the 1024 point */ - /* output is in 9.23(q23) format for the 256 point */ - /* output is in 7.25(q25) format for the 64 point */ - /* output is in 5.27(q27) format for the 16 point */ - - /* End of last stage process */ -}
--- a/cmsis_dsp/TransformFunctions/arm_cfft_radix8_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,384 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_radix8_f32.c -* -* Description: Radix-8 Decimation in Frequency CFFT & CIFFT Floating point processing function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** -* @ingroup groupTransforms -*/ - -/** -* @defgroup Radix8_CFFT_CIFFT Radix-8 Complex FFT Functions -* -* \par -* Complex Fast Fourier Transform(CFFT) and Complex Inverse Fast Fourier Transform(CIFFT) is an efficient algorithm to compute Discrete Fourier Transform(DFT) and Inverse Discrete Fourier Transform(IDFT). -* Computational complexity of CFFT reduces drastically when compared to DFT. -* \par -* This set of functions implements CFFT/CIFFT -* for floating-point data types. The functions operates on in-place buffer which uses same buffer for input and output. -* Complex input is stored in input buffer in an interleaved fashion. -* -* \par -* The functions operate on blocks of input and output data and each call to the function processes -* <code>2*fftLen</code> samples through the transform. <code>pSrc</code> points to In-place arrays containing <code>2*fftLen</code> values. -* \par -* The <code>pSrc</code> points to the array of in-place buffer of size <code>2*fftLen</code> and inputs and outputs are stored in an interleaved fashion as shown below. -* <pre> {real[0], imag[0], real[1], imag[1],..} </pre> -* -* \par Lengths supported by the transform: -* \par -* Internally, the function utilize a Radix-8 decimation in frequency(DIF) algorithm -* and the size of the FFT supported are of the lengths [ 64, 512, 4096]. -* -* -* \par Algorithm: -* -* <b>Complex Fast Fourier Transform:</b> -* \par -* Input real and imaginary data: -* <pre> -* x(n) = xa + j * ya -* x(n+N/4 ) = xb + j * yb -* x(n+N/2 ) = xc + j * yc -* x(n+3N 4) = xd + j * yd -* </pre> -* where N is length of FFT -* \par -* Output real and imaginary data: -* <pre> -* X(4r) = xa'+ j * ya' -* X(4r+1) = xb'+ j * yb' -* X(4r+2) = xc'+ j * yc' -* X(4r+3) = xd'+ j * yd' -* </pre> -* \par -* Twiddle factors for Radix-8 FFT: -* <pre> -* Wn = co1 + j * (- si1) -* W2n = co2 + j * (- si2) -* W3n = co3 + j * (- si3) -* </pre> -* -* \par -* \image html CFFT.gif "Radix-8 Decimation-in Frequency Complex Fast Fourier Transform" -* -* \par -* Output from Radix-8 CFFT Results in Digit reversal order. Interchange middle two branches of every butterfly results in Bit reversed output. -* \par -* <b> Butterfly CFFT equations:</b> -* <pre> -* xa' = xa + xb + xc + xd -* ya' = ya + yb + yc + yd -* xc' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) -* yc' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) -* xb' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) -* yb' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) -* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) -* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) -* </pre> -* -* \par -* where <code>fftLen</code> length of CFFT/CIFFT; <code>ifftFlag</code> Flag for selection of CFFT or CIFFT(Set ifftFlag to calculate CIFFT otherwise calculates CFFT); -* <code>bitReverseFlag</code> Flag for selection of output order(Set bitReverseFlag to output in normal order otherwise output in bit reversed order); -* <code>pTwiddle</code>points to array of twiddle coefficients; <code>pBitRevTable</code> points to the array of bit reversal table. -* <code>twidCoefModifier</code> modifier for twiddle factor table which supports all FFT lengths with same table; -* <code>pBitRevTable</code> modifier for bit reversal table which supports all FFT lengths with same table. -* <code>onebyfftLen</code> value of 1/fftLen to calculate CIFFT; -* -* \par Fixed-Point Behavior -* Care must be taken when using the fixed-point versions of the CFFT/CIFFT function. -* Refer to the function specific documentation below for usage guidelines. -*/ - - -/* -* @brief Core function for the floating-point CFFT butterfly process. -* @param[in, out] *pSrc points to the in-place buffer of floating-point data type. -* @param[in] fftLen length of the FFT. -* @param[in] *pCoef points to the twiddle coefficient buffer. -* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. -* @return none. -*/ - -void arm_radix8_butterfly_f32( -float32_t * pSrc, -uint16_t fftLen, -const float32_t * pCoef, -uint16_t twidCoefModifier) -{ - uint32_t ia1, ia2, ia3, ia4, ia5, ia6, ia7; - uint32_t i1, i2, i3, i4, i5, i6, i7, i8; - uint32_t id; - uint32_t n1, n2, j; - - float32_t r1, r2, r3, r4, r5, r6, r7, r8; - float32_t t1, t2; - float32_t s1, s2, s3, s4, s5, s6, s7, s8; - float32_t p1, p2, p3, p4; - float32_t co2, co3, co4, co5, co6, co7, co8; - float32_t si2, si3, si4, si5, si6, si7, si8; - const float32_t C81 = 0.70710678118f; - - n2 = fftLen; - - do - { - n1 = n2; - n2 = n2 >> 3; - i1 = 0; - - do - { - i2 = i1 + n2; - i3 = i2 + n2; - i4 = i3 + n2; - i5 = i4 + n2; - i6 = i5 + n2; - i7 = i6 + n2; - i8 = i7 + n2; - r1 = pSrc[2 * i1] + pSrc[2 * i5]; - r5 = pSrc[2 * i1] - pSrc[2 * i5]; - r2 = pSrc[2 * i2] + pSrc[2 * i6]; - r6 = pSrc[2 * i2] - pSrc[2 * i6]; - r3 = pSrc[2 * i3] + pSrc[2 * i7]; - r7 = pSrc[2 * i3] - pSrc[2 * i7]; - r4 = pSrc[2 * i4] + pSrc[2 * i8]; - r8 = pSrc[2 * i4] - pSrc[2 * i8]; - t1 = r1 - r3; - r1 = r1 + r3; - r3 = r2 - r4; - r2 = r2 + r4; - pSrc[2 * i1] = r1 + r2; - pSrc[2 * i5] = r1 - r2; - r1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1]; - s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1]; - r2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1]; - s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1]; - s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1]; - s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1]; - r4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1]; - s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1]; - t2 = r1 - s3; - r1 = r1 + s3; - s3 = r2 - r4; - r2 = r2 + r4; - pSrc[2 * i1 + 1] = r1 + r2; - pSrc[2 * i5 + 1] = r1 - r2; - pSrc[2 * i3] = t1 + s3; - pSrc[2 * i7] = t1 - s3; - pSrc[2 * i3 + 1] = t2 - r3; - pSrc[2 * i7 + 1] = t2 + r3; - r1 = (r6 - r8) * C81; - r6 = (r6 + r8) * C81; - r2 = (s6 - s8) * C81; - s6 = (s6 + s8) * C81; - t1 = r5 - r1; - r5 = r5 + r1; - r8 = r7 - r6; - r7 = r7 + r6; - t2 = s5 - r2; - s5 = s5 + r2; - s8 = s7 - s6; - s7 = s7 + s6; - pSrc[2 * i2] = r5 + s7; - pSrc[2 * i8] = r5 - s7; - pSrc[2 * i6] = t1 + s8; - pSrc[2 * i4] = t1 - s8; - pSrc[2 * i2 + 1] = s5 - r7; - pSrc[2 * i8 + 1] = s5 + r7; - pSrc[2 * i6 + 1] = t2 - r8; - pSrc[2 * i4 + 1] = t2 + r8; - - i1 += n1; - } while(i1 < fftLen); - - if(n2 < 8) - break; - - ia1 = 0; - j = 1; - - do - { - /* index calculation for the coefficients */ - id = ia1 + twidCoefModifier; - ia1 = id; - ia2 = ia1 + id; - ia3 = ia2 + id; - ia4 = ia3 + id; - ia5 = ia4 + id; - ia6 = ia5 + id; - ia7 = ia6 + id; - - co2 = pCoef[2 * ia1]; - co3 = pCoef[2 * ia2]; - co4 = pCoef[2 * ia3]; - co5 = pCoef[2 * ia4]; - co6 = pCoef[2 * ia5]; - co7 = pCoef[2 * ia6]; - co8 = pCoef[2 * ia7]; - si2 = pCoef[2 * ia1 + 1]; - si3 = pCoef[2 * ia2 + 1]; - si4 = pCoef[2 * ia3 + 1]; - si5 = pCoef[2 * ia4 + 1]; - si6 = pCoef[2 * ia5 + 1]; - si7 = pCoef[2 * ia6 + 1]; - si8 = pCoef[2 * ia7 + 1]; - - i1 = j; - - do - { - /* index calculation for the input */ - i2 = i1 + n2; - i3 = i2 + n2; - i4 = i3 + n2; - i5 = i4 + n2; - i6 = i5 + n2; - i7 = i6 + n2; - i8 = i7 + n2; - r1 = pSrc[2 * i1] + pSrc[2 * i5]; - r5 = pSrc[2 * i1] - pSrc[2 * i5]; - r2 = pSrc[2 * i2] + pSrc[2 * i6]; - r6 = pSrc[2 * i2] - pSrc[2 * i6]; - r3 = pSrc[2 * i3] + pSrc[2 * i7]; - r7 = pSrc[2 * i3] - pSrc[2 * i7]; - r4 = pSrc[2 * i4] + pSrc[2 * i8]; - r8 = pSrc[2 * i4] - pSrc[2 * i8]; - t1 = r1 - r3; - r1 = r1 + r3; - r3 = r2 - r4; - r2 = r2 + r4; - pSrc[2 * i1] = r1 + r2; - r2 = r1 - r2; - s1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1]; - s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1]; - s2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1]; - s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1]; - s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1]; - s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1]; - s4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1]; - s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1]; - t2 = s1 - s3; - s1 = s1 + s3; - s3 = s2 - s4; - s2 = s2 + s4; - r1 = t1 + s3; - t1 = t1 - s3; - pSrc[2 * i1 + 1] = s1 + s2; - s2 = s1 - s2; - s1 = t2 - r3; - t2 = t2 + r3; - p1 = co5 * r2; - p2 = si5 * s2; - p3 = co5 * s2; - p4 = si5 * r2; - pSrc[2 * i5] = p1 + p2; - pSrc[2 * i5 + 1] = p3 - p4; - p1 = co3 * r1; - p2 = si3 * s1; - p3 = co3 * s1; - p4 = si3 * r1; - pSrc[2 * i3] = p1 + p2; - pSrc[2 * i3 + 1] = p3 - p4; - p1 = co7 * t1; - p2 = si7 * t2; - p3 = co7 * t2; - p4 = si7 * t1; - pSrc[2 * i7] = p1 + p2; - pSrc[2 * i7 + 1] = p3 - p4; - r1 = (r6 - r8) * C81; - r6 = (r6 + r8) * C81; - s1 = (s6 - s8) * C81; - s6 = (s6 + s8) * C81; - t1 = r5 - r1; - r5 = r5 + r1; - r8 = r7 - r6; - r7 = r7 + r6; - t2 = s5 - s1; - s5 = s5 + s1; - s8 = s7 - s6; - s7 = s7 + s6; - r1 = r5 + s7; - r5 = r5 - s7; - r6 = t1 + s8; - t1 = t1 - s8; - s1 = s5 - r7; - s5 = s5 + r7; - s6 = t2 - r8; - t2 = t2 + r8; - p1 = co2 * r1; - p2 = si2 * s1; - p3 = co2 * s1; - p4 = si2 * r1; - pSrc[2 * i2] = p1 + p2; - pSrc[2 * i2 + 1] = p3 - p4; - p1 = co8 * r5; - p2 = si8 * s5; - p3 = co8 * s5; - p4 = si8 * r5; - pSrc[2 * i8] = p1 + p2; - pSrc[2 * i8 + 1] = p3 - p4; - p1 = co6 * r6; - p2 = si6 * s6; - p3 = co6 * s6; - p4 = si6 * r6; - pSrc[2 * i6] = p1 + p2; - pSrc[2 * i6 + 1] = p3 - p4; - p1 = co4 * t1; - p2 = si4 * t2; - p3 = co4 * t2; - p4 = si4 * t1; - pSrc[2 * i4] = p1 + p2; - pSrc[2 * i4 + 1] = p3 - p4; - - i1 += n1; - } while(i1 < fftLen); - - j++; - } while(j < n2); - - twidCoefModifier <<= 3; - } while(n2 > 7); -} - -/** -* @} end of Radix8_CFFT_CIFFT group -*/
--- a/cmsis_dsp/TransformFunctions/arm_dct4_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,461 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_dct4_f32.c -* -* Description: Processing function of DCT4 & IDCT4 F32. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @defgroup DCT4_IDCT4 DCT Type IV Functions - * Representation of signals by minimum number of values is important for storage and transmission. - * The possibility of large discontinuity between the beginning and end of a period of a signal - * in DFT can be avoided by extending the signal so that it is even-symmetric. - * Discrete Cosine Transform (DCT) is constructed such that its energy is heavily concentrated in the lower part of the - * spectrum and is very widely used in signal and image coding applications. - * The family of DCTs (DCT type- 1,2,3,4) is the outcome of different combinations of homogeneous boundary conditions. - * DCT has an excellent energy-packing capability, hence has many applications and in data compression in particular. - * - * DCT is essentially the Discrete Fourier Transform(DFT) of an even-extended real signal. - * Reordering of the input data makes the computation of DCT just a problem of - * computing the DFT of a real signal with a few additional operations. - * This approach provides regular, simple, and very efficient DCT algorithms for practical hardware and software implementations. - * - * DCT type-II can be implemented using Fast fourier transform (FFT) internally, as the transform is applied on real values, Real FFT can be used. - * DCT4 is implemented using DCT2 as their implementations are similar except with some added pre-processing and post-processing. - * DCT2 implementation can be described in the following steps: - * - Re-ordering input - * - Calculating Real FFT - * - Multiplication of weights and Real FFT output and getting real part from the product. - * - * This process is explained by the block diagram below: - * \image html DCT4.gif "Discrete Cosine Transform - type-IV" - * - * \par Algorithm: - * The N-point type-IV DCT is defined as a real, linear transformation by the formula: - * \image html DCT4Equation.gif - * where <code>k = 0,1,2,.....N-1</code> - *\par - * Its inverse is defined as follows: - * \image html IDCT4Equation.gif - * where <code>n = 0,1,2,.....N-1</code> - *\par - * The DCT4 matrices become involutory (i.e. they are self-inverse) by multiplying with an overall scale factor of sqrt(2/N). - * The symmetry of the transform matrix indicates that the fast algorithms for the forward - * and inverse transform computation are identical. - * Note that the implementation of Inverse DCT4 and DCT4 is same, hence same process function can be used for both. - * - * \par Lengths supported by the transform: - * As DCT4 internally uses Real FFT, it supports all the lengths supported by arm_rfft_f32(). - * The library provides separate functions for Q15, Q31, and floating-point data types. - * \par Instance Structure - * The instances for Real FFT and FFT, cosine values table and twiddle factor table are stored in an instance data structure. - * A separate instance structure must be defined for each transform. - * There are separate instance structure declarations for each of the 3 supported data types. - * - * \par Initialization Functions - * There is also an associated initialization function for each data type. - * The initialization function performs the following operations: - * - Sets the values of the internal structure fields. - * - Initializes Real FFT as its process function is used internally in DCT4, by calling arm_rfft_init_f32(). - * \par - * Use of the initialization function is optional. - * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. - * To place an instance structure into a const data section, the instance structure must be manually initialized. - * Manually initialize the instance structure as follows: - * <pre> - *arm_dct4_instance_f32 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft}; - *arm_dct4_instance_q31 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft}; - *arm_dct4_instance_q15 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft}; - * </pre> - * where \c N is the length of the DCT4; \c Nby2 is half of the length of the DCT4; - * \c normalize is normalizing factor used and is equal to <code>sqrt(2/N)</code>; - * \c pTwiddle points to the twiddle factor table; - * \c pCosFactor points to the cosFactor table; - * \c pRfft points to the real FFT instance; - * \c pCfft points to the complex FFT instance; - * The CFFT and RFFT structures also needs to be initialized, refer to arm_cfft_radix4_f32() - * and arm_rfft_f32() respectively for details regarding static initialization. - * - * \par Fixed-Point Behavior - * Care must be taken when using the fixed-point versions of the DCT4 transform functions. - * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. - * Refer to the function specific documentation below for usage guidelines. - */ - - /** - * @addtogroup DCT4_IDCT4 - * @{ - */ - -/** - * @brief Processing function for the floating-point DCT4/IDCT4. - * @param[in] *S points to an instance of the floating-point DCT4/IDCT4 structure. - * @param[in] *pState points to state buffer. - * @param[in,out] *pInlineBuffer points to the in-place input and output buffer. - * @return none. - */ - -void arm_dct4_f32( - const arm_dct4_instance_f32 * S, - float32_t * pState, - float32_t * pInlineBuffer) -{ - uint32_t i; /* Loop counter */ - float32_t *weights = S->pTwiddle; /* Pointer to the Weights table */ - float32_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */ - float32_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */ - float32_t in; /* Temporary variable */ - - - /* DCT4 computation involves DCT2 (which is calculated using RFFT) - * along with some pre-processing and post-processing. - * Computational procedure is explained as follows: - * (a) Pre-processing involves multiplying input with cos factor, - * r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n)) - * where, - * r(n) -- output of preprocessing - * u(n) -- input to preprocessing(actual Source buffer) - * (b) Calculation of DCT2 using FFT is divided into three steps: - * Step1: Re-ordering of even and odd elements of input. - * Step2: Calculating FFT of the re-ordered input. - * Step3: Taking the real part of the product of FFT output and weights. - * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation: - * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) - * where, - * Y4 -- DCT4 output, Y2 -- DCT2 output - * (d) Multiplying the output with the normalizing factor sqrt(2/N). - */ - - /*-------- Pre-processing ------------*/ - /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */ - arm_scale_f32(pInlineBuffer, 2.0f, pInlineBuffer, S->N); - arm_mult_f32(pInlineBuffer, cosFact, pInlineBuffer, S->N); - - /* ---------------------------------------------------------------- - * Step1: Re-ordering of even and odd elements as, - * pState[i] = pInlineBuffer[2*i] and - * pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2 - ---------------------------------------------------------------------*/ - - /* pS1 initialized to pState */ - pS1 = pState; - - /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */ - pS2 = pState + (S->N - 1u); - - /* pbuff initialized to input buffer */ - pbuff = pInlineBuffer; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */ - i = (uint32_t) S->Nby2 >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - do - { - /* Re-ordering of even and odd elements */ - /* pState[i] = pInlineBuffer[2*i] */ - *pS1++ = *pbuff++; - /* pState[N-i-1] = pInlineBuffer[2*i+1] */ - *pS2-- = *pbuff++; - - *pS1++ = *pbuff++; - *pS2-- = *pbuff++; - - *pS1++ = *pbuff++; - *pS2-- = *pbuff++; - - *pS1++ = *pbuff++; - *pS2-- = *pbuff++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - /* pbuff initialized to input buffer */ - pbuff = pInlineBuffer; - - /* pS1 initialized to pState */ - pS1 = pState; - - /* Initializing the loop counter to N/4 instead of N for loop unrolling */ - i = (uint32_t) S->N >> 2u; - - /* Processing with loop unrolling 4 times as N is always multiple of 4. - * Compute 4 outputs at a time */ - do - { - /* Writing the re-ordered output back to inplace input buffer */ - *pbuff++ = *pS1++; - *pbuff++ = *pS1++; - *pbuff++ = *pS1++; - *pbuff++ = *pS1++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - - /* --------------------------------------------------------- - * Step2: Calculate RFFT for N-point input - * ---------------------------------------------------------- */ - /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ - arm_rfft_f32(S->pRfft, pInlineBuffer, pState); - - /*---------------------------------------------------------------------- - * Step3: Multiply the FFT output with the weights. - *----------------------------------------------------------------------*/ - arm_cmplx_mult_cmplx_f32(pState, weights, pState, S->N); - - /* ----------- Post-processing ---------- */ - /* DCT-IV can be obtained from DCT-II by the equation, - * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) - * Hence, Y4(0) = Y2(0)/2 */ - /* Getting only real part from the output and Converting to DCT-IV */ - - /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */ - i = ((uint32_t) S->N - 1u) >> 2u; - - /* pbuff initialized to input buffer. */ - pbuff = pInlineBuffer; - - /* pS1 initialized to pState */ - pS1 = pState; - - /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ - in = *pS1++ * (float32_t) 0.5; - /* input buffer acts as inplace, so output values are stored in the input itself. */ - *pbuff++ = in; - - /* pState pointer is incremented twice as the real values are located alternatively in the array */ - pS1++; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - do - { - /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ - /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ - in = *pS1++ - in; - *pbuff++ = in; - /* points to the next real value */ - pS1++; - - in = *pS1++ - in; - *pbuff++ = in; - pS1++; - - in = *pS1++ - in; - *pbuff++ = in; - pS1++; - - in = *pS1++ - in; - *pbuff++ = in; - pS1++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - i = ((uint32_t) S->N - 1u) % 0x4u; - - while(i > 0u) - { - /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ - /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ - in = *pS1++ - in; - *pbuff++ = in; - /* points to the next real value */ - pS1++; - - /* Decrement the loop counter */ - i--; - } - - - /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ - - /* Initializing the loop counter to N/4 instead of N for loop unrolling */ - i = (uint32_t) S->N >> 2u; - - /* pbuff initialized to the pInlineBuffer(now contains the output values) */ - pbuff = pInlineBuffer; - - /* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */ - do - { - /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ - in = *pbuff; - *pbuff++ = in * S->normalize; - - in = *pbuff; - *pbuff++ = in * S->normalize; - - in = *pbuff; - *pbuff++ = in * S->normalize; - - in = *pbuff; - *pbuff++ = in * S->normalize; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initializing the loop counter to N/2 */ - i = (uint32_t) S->Nby2; - - do - { - /* Re-ordering of even and odd elements */ - /* pState[i] = pInlineBuffer[2*i] */ - *pS1++ = *pbuff++; - /* pState[N-i-1] = pInlineBuffer[2*i+1] */ - *pS2-- = *pbuff++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - /* pbuff initialized to input buffer */ - pbuff = pInlineBuffer; - - /* pS1 initialized to pState */ - pS1 = pState; - - /* Initializing the loop counter */ - i = (uint32_t) S->N; - - do - { - /* Writing the re-ordered output back to inplace input buffer */ - *pbuff++ = *pS1++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - - /* --------------------------------------------------------- - * Step2: Calculate RFFT for N-point input - * ---------------------------------------------------------- */ - /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ - arm_rfft_f32(S->pRfft, pInlineBuffer, pState); - - /*---------------------------------------------------------------------- - * Step3: Multiply the FFT output with the weights. - *----------------------------------------------------------------------*/ - arm_cmplx_mult_cmplx_f32(pState, weights, pState, S->N); - - /* ----------- Post-processing ---------- */ - /* DCT-IV can be obtained from DCT-II by the equation, - * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) - * Hence, Y4(0) = Y2(0)/2 */ - /* Getting only real part from the output and Converting to DCT-IV */ - - /* pbuff initialized to input buffer. */ - pbuff = pInlineBuffer; - - /* pS1 initialized to pState */ - pS1 = pState; - - /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ - in = *pS1++ * (float32_t) 0.5; - /* input buffer acts as inplace, so output values are stored in the input itself. */ - *pbuff++ = in; - - /* pState pointer is incremented twice as the real values are located alternatively in the array */ - pS1++; - - /* Initializing the loop counter */ - i = ((uint32_t) S->N - 1u); - - do - { - /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ - /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ - in = *pS1++ - in; - *pbuff++ = in; - /* points to the next real value */ - pS1++; - - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - - /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ - - /* Initializing the loop counter */ - i = (uint32_t) S->N; - - /* pbuff initialized to the pInlineBuffer(now contains the output values) */ - pbuff = pInlineBuffer; - - do - { - /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ - in = *pbuff; - *pbuff++ = in * S->normalize; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of DCT4_IDCT4 group - */
--- a/cmsis_dsp/TransformFunctions/arm_dct4_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,16519 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_dct4_init_f32.c -* -* Description: Initialization function of DCT-4 & IDCT4 F32 -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - - -#include "arm_math.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup DCT4_IDCT4 - * @{ - */ - -/* -* @brief Weights Table -*/ - -/** -* \par -* Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre> -* \par -* C command to generate the table -* <pre> -* for(i = 0; i< N; i++) -* { -* weights[2*i]= cos(i*c); -* weights[(2*i)+1]= -sin(i * c); -* } </pre> -* \par -* Where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code> -* \par -* In the tables below the real and imaginary values are placed alternatively, hence the -* array length is <code>2*N</code>. -*/ - -static const float32_t Weights_128[256] = { - 1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f, - -0.012271538285719925f, - 0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f, - -0.036807222941358832f, - 0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f, - -0.061320736302208578f, - 0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f, - -0.085797312344439894f, - 0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f, - -0.110222207293883060f, - 0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f, - -0.134580708507126170f, - 0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f, - -0.158858143333861450f, - 0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f, - -0.183039887955140950f, - 0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f, - -0.207111376192218560f, - 0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f, - -0.231058108280671110f, - 0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f, - -0.254865659604514570f, - 0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f, - -0.278519689385053060f, - 0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f, - -0.302005949319228080f, - 0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f, - -0.325310292162262930f, - 0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f, - -0.348418680249434560f, - 0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f, - -0.371317193951837540f, - 0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f, - -0.393992040061048100f, - 0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f, - -0.416429560097637150f, - 0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f, - -0.438616238538527660f, - 0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f, - -0.460538710958240010f, - 0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f, - -0.482183772079122720f, - 0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f, - -0.503538383725717580f, - 0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f, - -0.524589682678468950f, - 0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f, - -0.545324988422046460f, - 0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f, - -0.565731810783613120f, - 0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f, - -0.585797857456438860f, - 0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f, - -0.605511041404325550f, - 0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f, - -0.624859488142386340f, - 0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f, - -0.643831542889791390f, - 0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f, - -0.662415777590171780f, - 0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f, - -0.680600997795453020f, - 0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f, - -0.698376249408972920f, - 0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f, - -0.715730825283818590f, - 0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f, - -0.732654271672412820f, - 0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f, - -0.749136394523459260f, - 0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f, - -0.765167265622458960f, - 0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f, - -0.780737228572094380f, - 0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f, - -0.795836904608883460f, - 0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f, - -0.810457198252594770f, - 0.575808191417845340f, -0.817584813151583710f, 0.565731810783613230f, - -0.824589302785025290f, - 0.555570233019602290f, -0.831469612302545240f, 0.545324988422046460f, - -0.838224705554837970f, - 0.534997619887097260f, -0.844853565249707010f, 0.524589682678468840f, - -0.851355193105265200f, - 0.514102744193221660f, -0.857728610000272120f, 0.503538383725717580f, - -0.863972856121586700f, - 0.492898192229784090f, -0.870086991108711350f, 0.482183772079122830f, - -0.876070094195406600f, - 0.471396736825997810f, -0.881921264348354940f, 0.460538710958240010f, - -0.887639620402853930f, - 0.449611329654606600f, -0.893224301195515320f, 0.438616238538527710f, - -0.898674465693953820f, - 0.427555093430282200f, -0.903989293123443340f, 0.416429560097637320f, - -0.909167983090522270f, - 0.405241314004989860f, -0.914209755703530690f, 0.393992040061048100f, - -0.919113851690057770f, - 0.382683432365089840f, -0.923879532511286740f, 0.371317193951837600f, - -0.928506080473215480f, - 0.359895036534988280f, -0.932992798834738850f, 0.348418680249434510f, - -0.937339011912574960f, - 0.336889853392220050f, -0.941544065183020810f, 0.325310292162262980f, - -0.945607325380521280f, - 0.313681740398891570f, -0.949528180593036670f, 0.302005949319228200f, - -0.953306040354193750f, - 0.290284677254462330f, -0.956940335732208940f, 0.278519689385053060f, - -0.960430519415565790f, - 0.266712757474898420f, -0.963776065795439840f, 0.254865659604514630f, - -0.966976471044852070f, - 0.242980179903263980f, -0.970031253194543970f, 0.231058108280671280f, - -0.972939952205560070f, - 0.219101240156869770f, -0.975702130038528570f, 0.207111376192218560f, - -0.978317370719627650f, - 0.195090322016128330f, -0.980785280403230430f, 0.183039887955141060f, - -0.983105487431216290f, - 0.170961888760301360f, -0.985277642388941220f, 0.158858143333861390f, - -0.987301418157858430f, - 0.146730474455361750f, -0.989176509964781010f, 0.134580708507126220f, - -0.990902635427780010f, - 0.122410675199216280f, -0.992479534598709970f, 0.110222207293883180f, - -0.993906970002356060f, - 0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f, - -0.996312612182778000f, - 0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f, - -0.998118112900149180f, - 0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f, - -0.999322384588349540f, - 0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f, - -0.999924701839144500f -}; - -static const float32_t Weights_512[1024] = { - 1.000000000000000000f, 0.000000000000000000f, 0.999995293809576190f, - -0.003067956762965976f, - 0.999981175282601110f, -0.006135884649154475f, 0.999957644551963900f, - -0.009203754782059819f, - 0.999924701839144500f, -0.012271538285719925f, 0.999882347454212560f, - -0.015339206284988100f, - 0.999830581795823400f, -0.018406729905804820f, 0.999769405351215280f, - -0.021474080275469508f, - 0.999698818696204250f, -0.024541228522912288f, 0.999618822495178640f, - -0.027608145778965740f, - 0.999529417501093140f, -0.030674803176636626f, 0.999430604555461730f, - -0.033741171851377580f, - 0.999322384588349540f, -0.036807222941358832f, 0.999204758618363890f, - -0.039872927587739811f, - 0.999077727752645360f, -0.042938256934940820f, 0.998941293186856870f, - -0.046003182130914623f, - 0.998795456205172410f, -0.049067674327418015f, 0.998640218180265270f, - -0.052131704680283324f, - 0.998475580573294770f, -0.055195244349689934f, 0.998301544933892890f, - -0.058258264500435752f, - 0.998118112900149180f, -0.061320736302208578f, 0.997925286198596000f, - -0.064382630929857465f, - 0.997723066644191640f, -0.067443919563664051f, 0.997511456140303450f, - -0.070504573389613856f, - 0.997290456678690210f, -0.073564563599667426f, 0.997060070339482960f, - -0.076623861392031492f, - 0.996820299291165670f, -0.079682437971430126f, 0.996571145790554840f, - -0.082740264549375692f, - 0.996312612182778000f, -0.085797312344439894f, 0.996044700901251970f, - -0.088853552582524600f, - 0.995767414467659820f, -0.091908956497132724f, 0.995480755491926940f, - -0.094963495329638992f, - 0.995184726672196930f, -0.098017140329560604f, 0.994879330794805620f, - -0.101069862754827820f, - 0.994564570734255420f, -0.104121633872054590f, 0.994240449453187900f, - -0.107172424956808840f, - 0.993906970002356060f, -0.110222207293883060f, 0.993564135520595300f, - -0.113270952177564350f, - 0.993211949234794500f, -0.116318630911904750f, 0.992850414459865100f, - -0.119365214810991350f, - 0.992479534598709970f, -0.122410675199216200f, 0.992099313142191800f, - -0.125454983411546230f, - 0.991709753669099530f, -0.128498110793793170f, 0.991310859846115440f, - -0.131540028702883120f, - 0.990902635427780010f, -0.134580708507126170f, 0.990485084256457090f, - -0.137620121586486040f, - 0.990058210262297120f, -0.140658239332849210f, 0.989622017463200890f, - -0.143695033150294470f, - 0.989176509964781010f, -0.146730474455361750f, 0.988721691960323780f, - -0.149764534677321510f, - 0.988257567730749460f, -0.152797185258443440f, 0.987784141644572180f, - -0.155828397654265230f, - 0.987301418157858430f, -0.158858143333861450f, 0.986809401814185530f, - -0.161886393780111830f, - 0.986308097244598670f, -0.164913120489969890f, 0.985797509167567480f, - -0.167938294974731170f, - 0.985277642388941220f, -0.170961888760301220f, 0.984748501801904210f, - -0.173983873387463820f, - 0.984210092386929030f, -0.177004220412148750f, 0.983662419211730250f, - -0.180022901405699510f, - 0.983105487431216290f, -0.183039887955140950f, 0.982539302287441240f, - -0.186055151663446630f, - 0.981963869109555240f, -0.189068664149806190f, 0.981379193313754560f, - -0.192080397049892440f, - 0.980785280403230430f, -0.195090322016128250f, 0.980182135968117430f, - -0.198098410717953560f, - 0.979569765685440520f, -0.201104634842091900f, 0.978948175319062200f, - -0.204108966092816870f, - 0.978317370719627650f, -0.207111376192218560f, 0.977677357824509930f, - -0.210111836880469610f, - 0.977028142657754390f, -0.213110319916091360f, 0.976369731330021140f, - -0.216106797076219520f, - 0.975702130038528570f, -0.219101240156869800f, 0.975025345066994120f, - -0.222093620973203510f, - 0.974339382785575860f, -0.225083911359792830f, 0.973644249650811980f, - -0.228072083170885730f, - 0.972939952205560180f, -0.231058108280671110f, 0.972226497078936270f, - -0.234041958583543430f, - 0.971503890986251780f, -0.237023605994367200f, 0.970772140728950350f, - -0.240003022448741500f, - 0.970031253194543970f, -0.242980179903263870f, 0.969281235356548530f, - -0.245955050335794590f, - 0.968522094274417380f, -0.248927605745720150f, 0.967753837093475510f, - -0.251897818154216970f, - 0.966976471044852070f, -0.254865659604514570f, 0.966190003445412500f, - -0.257831102162158990f, - 0.965394441697689400f, -0.260794117915275510f, 0.964589793289812760f, - -0.263754678974831350f, - 0.963776065795439840f, -0.266712757474898370f, 0.962953266873683880f, - -0.269668325572915090f, - 0.962121404269041580f, -0.272621355449948980f, 0.961280485811320640f, - -0.275571819310958140f, - 0.960430519415565790f, -0.278519689385053060f, 0.959571513081984520f, - -0.281464937925757940f, - 0.958703474895871600f, -0.284407537211271880f, 0.957826413027532910f, - -0.287347459544729510f, - 0.956940335732208820f, -0.290284677254462330f, 0.956045251349996410f, - -0.293219162694258630f, - 0.955141168305770780f, -0.296150888243623790f, 0.954228095109105670f, - -0.299079826308040480f, - 0.953306040354193860f, -0.302005949319228080f, 0.952375012719765880f, - -0.304929229735402370f, - 0.951435020969008340f, -0.307849640041534870f, 0.950486073949481700f, - -0.310767152749611470f, - 0.949528180593036670f, -0.313681740398891520f, 0.948561349915730270f, - -0.316593375556165850f, - 0.947585591017741090f, -0.319502030816015690f, 0.946600913083283530f, - -0.322407678801069850f, - 0.945607325380521280f, -0.325310292162262930f, 0.944604837261480260f, - -0.328209843579092500f, - 0.943593458161960390f, -0.331106305759876430f, 0.942573197601446870f, - -0.333999651442009380f, - 0.941544065183020810f, -0.336889853392220050f, 0.940506070593268300f, - -0.339776884406826850f, - 0.939459223602189920f, -0.342660717311994380f, 0.938403534063108060f, - -0.345541324963989090f, - 0.937339011912574960f, -0.348418680249434560f, 0.936265667170278260f, - -0.351292756085567090f, - 0.935183509938947610f, -0.354163525420490340f, 0.934092550404258980f, - -0.357030961233429980f, - 0.932992798834738960f, -0.359895036534988110f, 0.931884265581668150f, - -0.362755724367397230f, - 0.930766961078983710f, -0.365612997804773850f, 0.929640895843181330f, - -0.368466829953372320f, - 0.928506080473215590f, -0.371317193951837540f, 0.927362525650401110f, - -0.374164062971457930f, - 0.926210242138311380f, -0.377007410216418260f, 0.925049240782677580f, - -0.379847208924051160f, - 0.923879532511286740f, -0.382683432365089780f, 0.922701128333878630f, - -0.385516053843918850f, - 0.921514039342042010f, -0.388345046698826250f, 0.920318276709110590f, - -0.391170384302253870f, - 0.919113851690057770f, -0.393992040061048100f, 0.917900775621390500f, - -0.396809987416710310f, - 0.916679059921042700f, -0.399624199845646790f, 0.915448716088267830f, - -0.402434650859418430f, - 0.914209755703530690f, -0.405241314004989860f, 0.912962190428398210f, - -0.408044162864978690f, - 0.911706032005429880f, -0.410843171057903910f, 0.910441292258067250f, - -0.413638312238434500f, - 0.909167983090522380f, -0.416429560097637150f, 0.907886116487666260f, - -0.419216888363223910f, - 0.906595704514915330f, -0.422000270799799680f, 0.905296759318118820f, - -0.424779681209108810f, - 0.903989293123443340f, -0.427555093430282080f, 0.902673318237258830f, - -0.430326481340082610f, - 0.901348847046022030f, -0.433093818853151960f, 0.900015892016160280f, - -0.435857079922255470f, - 0.898674465693953820f, -0.438616238538527660f, 0.897324580705418320f, - -0.441371268731716670f, - 0.895966249756185220f, -0.444122144570429200f, 0.894599485631382700f, - -0.446868840162374160f, - 0.893224301195515320f, -0.449611329654606540f, 0.891840709392342720f, - -0.452349587233770890f, - 0.890448723244757880f, -0.455083587126343840f, 0.889048355854664570f, - -0.457813303598877170f, - 0.887639620402853930f, -0.460538710958240010f, 0.886222530148880640f, - -0.463259783551860150f, - 0.884797098430937790f, -0.465976495767966180f, 0.883363338665731580f, - -0.468688822035827900f, - 0.881921264348355050f, -0.471396736825997640f, 0.880470889052160750f, - -0.474100214650549970f, - 0.879012226428633530f, -0.476799230063322090f, 0.877545290207261350f, - -0.479493757660153010f, - 0.876070094195406600f, -0.482183772079122720f, 0.874586652278176110f, - -0.484869248000791060f, - 0.873094978418290090f, -0.487550160148436000f, 0.871595086655950980f, - -0.490226483288291160f, - 0.870086991108711460f, -0.492898192229784040f, 0.868570705971340900f, - -0.495565261825772540f, - 0.867046245515692650f, -0.498227666972781870f, 0.865513624090569090f, - -0.500885382611240710f, - 0.863972856121586810f, -0.503538383725717580f, 0.862423956111040610f, - -0.506186645345155230f, - 0.860866938637767310f, -0.508830142543106990f, 0.859301818357008470f, - -0.511468850437970300f, - 0.857728610000272120f, -0.514102744193221660f, 0.856147328375194470f, - -0.516731799017649870f, - 0.854557988365400530f, -0.519355990165589640f, 0.852960604930363630f, - -0.521975292937154390f, - 0.851355193105265200f, -0.524589682678468950f, 0.849741768000852550f, - -0.527199134781901280f, - 0.848120344803297230f, -0.529803624686294610f, 0.846490938774052130f, - -0.532403127877197900f, - 0.844853565249707120f, -0.534997619887097150f, 0.843208239641845440f, - -0.537587076295645390f, - 0.841554977436898440f, -0.540171472729892850f, 0.839893794195999520f, - -0.542750784864515890f, - 0.838224705554838080f, -0.545324988422046460f, 0.836547727223512010f, - -0.547894059173100190f, - 0.834862874986380010f, -0.550457972936604810f, 0.833170164701913190f, - -0.553016705580027470f, - 0.831469612302545240f, -0.555570233019602180f, 0.829761233794523050f, - -0.558118531220556100f, - 0.828045045257755800f, -0.560661576197336030f, 0.826321062845663530f, - -0.563199344013834090f, - 0.824589302785025290f, -0.565731810783613120f, 0.822849781375826430f, - -0.568258952670131490f, - 0.821102514991104650f, -0.570780745886967260f, 0.819347520076796900f, - -0.573297166698042200f, - 0.817584813151583710f, -0.575808191417845340f, 0.815814410806733780f, - -0.578313796411655590f, - 0.814036329705948410f, -0.580813958095764530f, 0.812250586585203880f, - -0.583308652937698290f, - 0.810457198252594770f, -0.585797857456438860f, 0.808656181588174980f, - -0.588281548222645220f, - 0.806847553543799330f, -0.590759701858874160f, 0.805031331142963660f, - -0.593232295039799800f, - 0.803207531480644940f, -0.595699304492433360f, 0.801376171723140240f, - -0.598160706996342270f, - 0.799537269107905010f, -0.600616479383868970f, 0.797690840943391160f, - -0.603066598540348160f, - 0.795836904608883570f, -0.605511041404325550f, 0.793975477554337170f, - -0.607949784967773630f, - 0.792106577300212390f, -0.610382806276309480f, 0.790230221437310030f, - -0.612810082429409710f, - 0.788346427626606340f, -0.615231590580626820f, 0.786455213599085770f, - -0.617647307937803870f, - 0.784556597155575240f, -0.620057211763289100f, 0.782650596166575730f, - -0.622461279374149970f, - 0.780737228572094490f, -0.624859488142386340f, 0.778816512381475980f, - -0.627251815495144080f, - 0.776888465673232440f, -0.629638238914926980f, 0.774953106594873930f, - -0.632018735939809060f, - 0.773010453362736990f, -0.634393284163645490f, 0.771060524261813820f, - -0.636761861236284200f, - 0.769103337645579700f, -0.639124444863775730f, 0.767138911935820400f, - -0.641481012808583160f, - 0.765167265622458960f, -0.643831542889791390f, 0.763188417263381270f, - -0.646176012983316280f, - 0.761202385484261780f, -0.648514401022112440f, 0.759209188978388070f, - -0.650846684996380880f, - 0.757208846506484570f, -0.653172842953776760f, 0.755201376896536550f, - -0.655492852999615350f, - 0.753186799043612520f, -0.657806693297078640f, 0.751165131909686480f, - -0.660114342067420480f, - 0.749136394523459370f, -0.662415777590171780f, 0.747100605980180130f, - -0.664710978203344790f, - 0.745057785441466060f, -0.666999922303637470f, 0.743007952135121720f, - -0.669282588346636010f, - 0.740951125354959110f, -0.671558954847018330f, 0.738887324460615110f, - -0.673829000378756040f, - 0.736816568877369900f, -0.676092703575315920f, 0.734738878095963500f, - -0.678350043129861470f, - 0.732654271672412820f, -0.680600997795453020f, 0.730562769227827590f, - -0.682845546385248080f, - 0.728464390448225200f, -0.685083667772700360f, 0.726359155084346010f, - -0.687315340891759050f, - 0.724247082951467000f, -0.689540544737066830f, 0.722128193929215350f, - -0.691759258364157750f, - 0.720002507961381650f, -0.693971460889654000f, 0.717870045055731710f, - -0.696177131491462990f, - 0.715730825283818590f, -0.698376249408972920f, 0.713584868780793640f, - -0.700568793943248340f, - 0.711432195745216430f, -0.702754744457225300f, 0.709272826438865690f, - -0.704934080375904880f, - 0.707106781186547570f, -0.707106781186547460f, 0.704934080375904990f, - -0.709272826438865580f, - 0.702754744457225300f, -0.711432195745216430f, 0.700568793943248450f, - -0.713584868780793520f, - 0.698376249408972920f, -0.715730825283818590f, 0.696177131491462990f, - -0.717870045055731710f, - 0.693971460889654000f, -0.720002507961381650f, 0.691759258364157750f, - -0.722128193929215350f, - 0.689540544737066940f, -0.724247082951466890f, 0.687315340891759160f, - -0.726359155084346010f, - 0.685083667772700360f, -0.728464390448225200f, 0.682845546385248080f, - -0.730562769227827590f, - 0.680600997795453130f, -0.732654271672412820f, 0.678350043129861580f, - -0.734738878095963390f, - 0.676092703575316030f, -0.736816568877369790f, 0.673829000378756150f, - -0.738887324460615110f, - 0.671558954847018330f, -0.740951125354959110f, 0.669282588346636010f, - -0.743007952135121720f, - 0.666999922303637470f, -0.745057785441465950f, 0.664710978203344900f, - -0.747100605980180130f, - 0.662415777590171780f, -0.749136394523459260f, 0.660114342067420480f, - -0.751165131909686370f, - 0.657806693297078640f, -0.753186799043612410f, 0.655492852999615460f, - -0.755201376896536550f, - 0.653172842953776760f, -0.757208846506484460f, 0.650846684996380990f, - -0.759209188978387960f, - 0.648514401022112550f, -0.761202385484261780f, 0.646176012983316390f, - -0.763188417263381270f, - 0.643831542889791500f, -0.765167265622458960f, 0.641481012808583160f, - -0.767138911935820400f, - 0.639124444863775730f, -0.769103337645579590f, 0.636761861236284200f, - -0.771060524261813710f, - 0.634393284163645490f, -0.773010453362736990f, 0.632018735939809060f, - -0.774953106594873820f, - 0.629638238914927100f, -0.776888465673232440f, 0.627251815495144190f, - -0.778816512381475870f, - 0.624859488142386450f, -0.780737228572094380f, 0.622461279374150080f, - -0.782650596166575730f, - 0.620057211763289210f, -0.784556597155575240f, 0.617647307937803980f, - -0.786455213599085770f, - 0.615231590580626820f, -0.788346427626606230f, 0.612810082429409710f, - -0.790230221437310030f, - 0.610382806276309480f, -0.792106577300212390f, 0.607949784967773740f, - -0.793975477554337170f, - 0.605511041404325550f, -0.795836904608883460f, 0.603066598540348280f, - -0.797690840943391040f, - 0.600616479383868970f, -0.799537269107905010f, 0.598160706996342380f, - -0.801376171723140130f, - 0.595699304492433470f, -0.803207531480644830f, 0.593232295039799800f, - -0.805031331142963660f, - 0.590759701858874280f, -0.806847553543799220f, 0.588281548222645330f, - -0.808656181588174980f, - 0.585797857456438860f, -0.810457198252594770f, 0.583308652937698290f, - -0.812250586585203880f, - 0.580813958095764530f, -0.814036329705948300f, 0.578313796411655590f, - -0.815814410806733780f, - 0.575808191417845340f, -0.817584813151583710f, 0.573297166698042320f, - -0.819347520076796900f, - 0.570780745886967370f, -0.821102514991104650f, 0.568258952670131490f, - -0.822849781375826320f, - 0.565731810783613230f, -0.824589302785025290f, 0.563199344013834090f, - -0.826321062845663420f, - 0.560661576197336030f, -0.828045045257755800f, 0.558118531220556100f, - -0.829761233794523050f, - 0.555570233019602290f, -0.831469612302545240f, 0.553016705580027580f, - -0.833170164701913190f, - 0.550457972936604810f, -0.834862874986380010f, 0.547894059173100190f, - -0.836547727223511890f, - 0.545324988422046460f, -0.838224705554837970f, 0.542750784864516000f, - -0.839893794195999410f, - 0.540171472729892970f, -0.841554977436898330f, 0.537587076295645510f, - -0.843208239641845440f, - 0.534997619887097260f, -0.844853565249707010f, 0.532403127877198010f, - -0.846490938774052020f, - 0.529803624686294830f, -0.848120344803297120f, 0.527199134781901390f, - -0.849741768000852440f, - 0.524589682678468840f, -0.851355193105265200f, 0.521975292937154390f, - -0.852960604930363630f, - 0.519355990165589530f, -0.854557988365400530f, 0.516731799017649980f, - -0.856147328375194470f, - 0.514102744193221660f, -0.857728610000272120f, 0.511468850437970520f, - -0.859301818357008360f, - 0.508830142543106990f, -0.860866938637767310f, 0.506186645345155450f, - -0.862423956111040500f, - 0.503538383725717580f, -0.863972856121586700f, 0.500885382611240940f, - -0.865513624090568980f, - 0.498227666972781870f, -0.867046245515692650f, 0.495565261825772490f, - -0.868570705971340900f, - 0.492898192229784090f, -0.870086991108711350f, 0.490226483288291100f, - -0.871595086655951090f, - 0.487550160148436050f, -0.873094978418290090f, 0.484869248000791120f, - -0.874586652278176110f, - 0.482183772079122830f, -0.876070094195406600f, 0.479493757660153010f, - -0.877545290207261240f, - 0.476799230063322250f, -0.879012226428633410f, 0.474100214650550020f, - -0.880470889052160750f, - 0.471396736825997810f, -0.881921264348354940f, 0.468688822035827960f, - -0.883363338665731580f, - 0.465976495767966130f, -0.884797098430937790f, 0.463259783551860260f, - -0.886222530148880640f, - 0.460538710958240010f, -0.887639620402853930f, 0.457813303598877290f, - -0.889048355854664570f, - 0.455083587126343840f, -0.890448723244757880f, 0.452349587233771000f, - -0.891840709392342720f, - 0.449611329654606600f, -0.893224301195515320f, 0.446868840162374330f, - -0.894599485631382580f, - 0.444122144570429260f, -0.895966249756185110f, 0.441371268731716620f, - -0.897324580705418320f, - 0.438616238538527710f, -0.898674465693953820f, 0.435857079922255470f, - -0.900015892016160280f, - 0.433093818853152010f, -0.901348847046022030f, 0.430326481340082610f, - -0.902673318237258830f, - 0.427555093430282200f, -0.903989293123443340f, 0.424779681209108810f, - -0.905296759318118820f, - 0.422000270799799790f, -0.906595704514915330f, 0.419216888363223960f, - -0.907886116487666150f, - 0.416429560097637320f, -0.909167983090522270f, 0.413638312238434560f, - -0.910441292258067140f, - 0.410843171057903910f, -0.911706032005429880f, 0.408044162864978740f, - -0.912962190428398100f, - 0.405241314004989860f, -0.914209755703530690f, 0.402434650859418540f, - -0.915448716088267830f, - 0.399624199845646790f, -0.916679059921042700f, 0.396809987416710420f, - -0.917900775621390390f, - 0.393992040061048100f, -0.919113851690057770f, 0.391170384302253980f, - -0.920318276709110480f, - 0.388345046698826300f, -0.921514039342041900f, 0.385516053843919020f, - -0.922701128333878520f, - 0.382683432365089840f, -0.923879532511286740f, 0.379847208924051110f, - -0.925049240782677580f, - 0.377007410216418310f, -0.926210242138311270f, 0.374164062971457990f, - -0.927362525650401110f, - 0.371317193951837600f, -0.928506080473215480f, 0.368466829953372320f, - -0.929640895843181330f, - 0.365612997804773960f, -0.930766961078983710f, 0.362755724367397230f, - -0.931884265581668150f, - 0.359895036534988280f, -0.932992798834738850f, 0.357030961233430030f, - -0.934092550404258870f, - 0.354163525420490510f, -0.935183509938947500f, 0.351292756085567150f, - -0.936265667170278260f, - 0.348418680249434510f, -0.937339011912574960f, 0.345541324963989150f, - -0.938403534063108060f, - 0.342660717311994380f, -0.939459223602189920f, 0.339776884406826960f, - -0.940506070593268300f, - 0.336889853392220050f, -0.941544065183020810f, 0.333999651442009490f, - -0.942573197601446870f, - 0.331106305759876430f, -0.943593458161960390f, 0.328209843579092660f, - -0.944604837261480260f, - 0.325310292162262980f, -0.945607325380521280f, 0.322407678801070020f, - -0.946600913083283530f, - 0.319502030816015750f, -0.947585591017741090f, 0.316593375556165850f, - -0.948561349915730270f, - 0.313681740398891570f, -0.949528180593036670f, 0.310767152749611470f, - -0.950486073949481700f, - 0.307849640041534980f, -0.951435020969008340f, 0.304929229735402430f, - -0.952375012719765880f, - 0.302005949319228200f, -0.953306040354193750f, 0.299079826308040480f, - -0.954228095109105670f, - 0.296150888243623960f, -0.955141168305770670f, 0.293219162694258680f, - -0.956045251349996410f, - 0.290284677254462330f, -0.956940335732208940f, 0.287347459544729570f, - -0.957826413027532910f, - 0.284407537211271820f, -0.958703474895871600f, 0.281464937925758050f, - -0.959571513081984520f, - 0.278519689385053060f, -0.960430519415565790f, 0.275571819310958250f, - -0.961280485811320640f, - 0.272621355449948980f, -0.962121404269041580f, 0.269668325572915200f, - -0.962953266873683880f, - 0.266712757474898420f, -0.963776065795439840f, 0.263754678974831510f, - -0.964589793289812650f, - 0.260794117915275570f, -0.965394441697689400f, 0.257831102162158930f, - -0.966190003445412620f, - 0.254865659604514630f, -0.966976471044852070f, 0.251897818154216910f, - -0.967753837093475510f, - 0.248927605745720260f, -0.968522094274417270f, 0.245955050335794590f, - -0.969281235356548530f, - 0.242980179903263980f, -0.970031253194543970f, 0.240003022448741500f, - -0.970772140728950350f, - 0.237023605994367340f, -0.971503890986251780f, 0.234041958583543460f, - -0.972226497078936270f, - 0.231058108280671280f, -0.972939952205560070f, 0.228072083170885790f, - -0.973644249650811870f, - 0.225083911359792780f, -0.974339382785575860f, 0.222093620973203590f, - -0.975025345066994120f, - 0.219101240156869770f, -0.975702130038528570f, 0.216106797076219600f, - -0.976369731330021140f, - 0.213110319916091360f, -0.977028142657754390f, 0.210111836880469720f, - -0.977677357824509930f, - 0.207111376192218560f, -0.978317370719627650f, 0.204108966092817010f, - -0.978948175319062200f, - 0.201104634842091960f, -0.979569765685440520f, 0.198098410717953730f, - -0.980182135968117320f, - 0.195090322016128330f, -0.980785280403230430f, 0.192080397049892380f, - -0.981379193313754560f, - 0.189068664149806280f, -0.981963869109555240f, 0.186055151663446630f, - -0.982539302287441240f, - 0.183039887955141060f, -0.983105487431216290f, 0.180022901405699510f, - -0.983662419211730250f, - 0.177004220412148860f, -0.984210092386929030f, 0.173983873387463850f, - -0.984748501801904210f, - 0.170961888760301360f, -0.985277642388941220f, 0.167938294974731230f, - -0.985797509167567370f, - 0.164913120489970090f, -0.986308097244598670f, 0.161886393780111910f, - -0.986809401814185420f, - 0.158858143333861390f, -0.987301418157858430f, 0.155828397654265320f, - -0.987784141644572180f, - 0.152797185258443410f, -0.988257567730749460f, 0.149764534677321620f, - -0.988721691960323780f, - 0.146730474455361750f, -0.989176509964781010f, 0.143695033150294580f, - -0.989622017463200780f, - 0.140658239332849240f, -0.990058210262297120f, 0.137620121586486180f, - -0.990485084256456980f, - 0.134580708507126220f, -0.990902635427780010f, 0.131540028702883280f, - -0.991310859846115440f, - 0.128498110793793220f, -0.991709753669099530f, 0.125454983411546210f, - -0.992099313142191800f, - 0.122410675199216280f, -0.992479534598709970f, 0.119365214810991350f, - -0.992850414459865100f, - 0.116318630911904880f, -0.993211949234794500f, 0.113270952177564360f, - -0.993564135520595300f, - 0.110222207293883180f, -0.993906970002356060f, 0.107172424956808870f, - -0.994240449453187900f, - 0.104121633872054730f, -0.994564570734255420f, 0.101069862754827880f, - -0.994879330794805620f, - 0.098017140329560770f, -0.995184726672196820f, 0.094963495329639061f, - -0.995480755491926940f, - 0.091908956497132696f, -0.995767414467659820f, 0.088853552582524684f, - -0.996044700901251970f, - 0.085797312344439880f, -0.996312612182778000f, 0.082740264549375803f, - -0.996571145790554840f, - 0.079682437971430126f, -0.996820299291165670f, 0.076623861392031617f, - -0.997060070339482960f, - 0.073564563599667454f, -0.997290456678690210f, 0.070504573389614009f, - -0.997511456140303450f, - 0.067443919563664106f, -0.997723066644191640f, 0.064382630929857410f, - -0.997925286198596000f, - 0.061320736302208648f, -0.998118112900149180f, 0.058258264500435732f, - -0.998301544933892890f, - 0.055195244349690031f, -0.998475580573294770f, 0.052131704680283317f, - -0.998640218180265270f, - 0.049067674327418126f, -0.998795456205172410f, 0.046003182130914644f, - -0.998941293186856870f, - 0.042938256934940959f, -0.999077727752645360f, 0.039872927587739845f, - -0.999204758618363890f, - 0.036807222941358991f, -0.999322384588349540f, 0.033741171851377642f, - -0.999430604555461730f, - 0.030674803176636581f, -0.999529417501093140f, 0.027608145778965820f, - -0.999618822495178640f, - 0.024541228522912264f, -0.999698818696204250f, 0.021474080275469605f, - -0.999769405351215280f, - 0.018406729905804820f, -0.999830581795823400f, 0.015339206284988220f, - -0.999882347454212560f, - 0.012271538285719944f, -0.999924701839144500f, 0.009203754782059960f, - -0.999957644551963900f, - 0.006135884649154515f, -0.999981175282601110f, 0.003067956762966138f, - -0.999995293809576190f -}; - -static const float32_t Weights_2048[4096] = { - 1.000000000000000000f, 0.000000000000000000f, 0.999999705862882230f, - -0.000766990318742704f, - 0.999998823451701880f, -0.001533980186284766f, 0.999997352766978210f, - -0.002300969151425805f, - 0.999995293809576190f, -0.003067956762965976f, 0.999992646580707190f, - -0.003834942569706228f, - 0.999989411081928400f, -0.004601926120448571f, 0.999985587315143200f, - -0.005368906963996343f, - 0.999981175282601110f, -0.006135884649154475f, 0.999976174986897610f, - -0.006902858724729756f, - 0.999970586430974140f, -0.007669828739531097f, 0.999964409618118280f, - -0.008436794242369799f, - 0.999957644551963900f, -0.009203754782059819f, 0.999950291236490480f, - -0.009970709907418031f, - 0.999942349676023910f, -0.010737659167264491f, 0.999933819875236000f, - -0.011504602110422714f, - 0.999924701839144500f, -0.012271538285719925f, 0.999914995573113470f, - -0.013038467241987334f, - 0.999904701082852900f, -0.013805388528060391f, 0.999893818374418490f, - -0.014572301692779064f, - 0.999882347454212560f, -0.015339206284988100f, 0.999870288328982950f, - -0.016106101853537287f, - 0.999857641005823860f, -0.016872987947281710f, 0.999844405492175240f, - -0.017639864115082053f, - 0.999830581795823400f, -0.018406729905804820f, 0.999816169924900410f, - -0.019173584868322623f, - 0.999801169887884260f, -0.019940428551514441f, 0.999785581693599210f, - -0.020707260504265895f, - 0.999769405351215280f, -0.021474080275469508f, 0.999752640870248840f, - -0.022240887414024961f, - 0.999735288260561680f, -0.023007681468839369f, 0.999717347532362190f, - -0.023774461988827555f, - 0.999698818696204250f, -0.024541228522912288f, 0.999679701762987930f, - -0.025307980620024571f, - 0.999659996743959220f, -0.026074717829103901f, 0.999639703650710200f, - -0.026841439699098531f, - 0.999618822495178640f, -0.027608145778965740f, 0.999597353289648380f, - -0.028374835617672099f, - 0.999575296046749220f, -0.029141508764193722f, 0.999552650779456990f, - -0.029908164767516555f, - 0.999529417501093140f, -0.030674803176636626f, 0.999505596225325310f, - -0.031441423540560301f, - 0.999481186966166950f, -0.032208025408304586f, 0.999456189737977340f, - -0.032974608328897335f, - 0.999430604555461730f, -0.033741171851377580f, 0.999404431433671300f, - -0.034507715524795750f, - 0.999377670388002850f, -0.035274238898213947f, 0.999350321434199440f, - -0.036040741520706229f, - 0.999322384588349540f, -0.036807222941358832f, 0.999293859866887790f, - -0.037573682709270494f, - 0.999264747286594420f, -0.038340120373552694f, 0.999235046864595850f, - -0.039106535483329888f, - 0.999204758618363890f, -0.039872927587739811f, 0.999173882565716380f, - -0.040639296235933736f, - 0.999142418724816910f, -0.041405640977076739f, 0.999110367114174890f, - -0.042171961360347947f, - 0.999077727752645360f, -0.042938256934940820f, 0.999044500659429290f, - -0.043704527250063421f, - 0.999010685854073380f, -0.044470771854938668f, 0.998976283356469820f, - -0.045236990298804590f, - 0.998941293186856870f, -0.046003182130914623f, 0.998905715365818290f, - -0.046769346900537863f, - 0.998869549914283560f, -0.047535484156959303f, 0.998832796853527990f, - -0.048301593449480144f, - 0.998795456205172410f, -0.049067674327418015f, 0.998757527991183340f, - -0.049833726340107277f, - 0.998719012233872940f, -0.050599749036899282f, 0.998679908955899090f, - -0.051365741967162593f, - 0.998640218180265270f, -0.052131704680283324f, 0.998599939930320370f, - -0.052897636725665324f, - 0.998559074229759310f, -0.053663537652730520f, 0.998517621102622210f, - -0.054429407010919133f, - 0.998475580573294770f, -0.055195244349689934f, 0.998432952666508440f, - -0.055961049218520569f, - 0.998389737407340160f, -0.056726821166907748f, 0.998345934821212370f, - -0.057492559744367566f, - 0.998301544933892890f, -0.058258264500435752f, 0.998256567771495180f, - -0.059023934984667931f, - 0.998211003360478190f, -0.059789570746639868f, 0.998164851727646240f, - -0.060555171335947788f, - 0.998118112900149180f, -0.061320736302208578f, 0.998070786905482340f, - -0.062086265195060088f, - 0.998022873771486240f, -0.062851757564161406f, 0.997974373526346990f, - -0.063617212959193106f, - 0.997925286198596000f, -0.064382630929857465f, 0.997875611817110150f, - -0.065148011025878833f, - 0.997825350411111640f, -0.065913352797003805f, 0.997774502010167820f, - -0.066678655793001557f, - 0.997723066644191640f, -0.067443919563664051f, 0.997671044343441000f, - -0.068209143658806329f, - 0.997618435138519550f, -0.068974327628266746f, 0.997565239060375750f, - -0.069739471021907307f, - 0.997511456140303450f, -0.070504573389613856f, 0.997457086409941910f, - -0.071269634281296401f, - 0.997402129901275300f, -0.072034653246889332f, 0.997346586646633230f, - -0.072799629836351673f, - 0.997290456678690210f, -0.073564563599667426f, 0.997233740030466280f, - -0.074329454086845756f, - 0.997176436735326190f, -0.075094300847921305f, 0.997118546826979980f, - -0.075859103432954447f, - 0.997060070339482960f, -0.076623861392031492f, 0.997001007307235290f, - -0.077388574275265049f, - 0.996941357764982160f, -0.078153241632794232f, 0.996881121747813850f, - -0.078917863014784942f, - 0.996820299291165670f, -0.079682437971430126f, 0.996758890430818000f, - -0.080446966052950014f, - 0.996696895202896060f, -0.081211446809592441f, 0.996634313643869900f, - -0.081975879791633066f, - 0.996571145790554840f, -0.082740264549375692f, 0.996507391680110820f, - -0.083504600633152432f, - 0.996443051350042630f, -0.084268887593324071f, 0.996378124838200210f, - -0.085033124980280275f, - 0.996312612182778000f, -0.085797312344439894f, 0.996246513422315520f, - -0.086561449236251170f, - 0.996179828595696980f, -0.087325535206192059f, 0.996112557742151130f, - -0.088089569804770507f, - 0.996044700901251970f, -0.088853552582524600f, 0.995976258112917790f, - -0.089617483090022959f, - 0.995907229417411720f, -0.090381360877864983f, 0.995837614855341610f, - -0.091145185496681005f, - 0.995767414467659820f, -0.091908956497132724f, 0.995696628295663520f, - -0.092672673429913310f, - 0.995625256380994310f, -0.093436335845747787f, 0.995553298765638470f, - -0.094199943295393204f, - 0.995480755491926940f, -0.094963495329638992f, 0.995407626602534900f, - -0.095726991499307162f, - 0.995333912140482280f, -0.096490431355252593f, 0.995259612149133390f, - -0.097253814448363271f, - 0.995184726672196930f, -0.098017140329560604f, 0.995109255753726110f, - -0.098780408549799623f, - 0.995033199438118630f, -0.099543618660069319f, 0.994956557770116380f, - -0.100306770211392860f, - 0.994879330794805620f, -0.101069862754827820f, 0.994801518557617110f, - -0.101832895841466530f, - 0.994723121104325700f, -0.102595869022436280f, 0.994644138481050710f, - -0.103358781848899610f, - 0.994564570734255420f, -0.104121633872054590f, 0.994484417910747600f, - -0.104884424643134970f, - 0.994403680057679100f, -0.105647153713410620f, 0.994322357222545810f, - -0.106409820634187680f, - 0.994240449453187900f, -0.107172424956808840f, 0.994157956797789730f, - -0.107934966232653650f, - 0.994074879304879370f, -0.108697444013138720f, 0.993991217023329380f, - -0.109459857849717980f, - 0.993906970002356060f, -0.110222207293883060f, 0.993822138291519660f, - -0.110984491897163390f, - 0.993736721940724600f, -0.111746711211126590f, 0.993650721000219120f, - -0.112508864787378690f, - 0.993564135520595300f, -0.113270952177564350f, 0.993476965552789190f, - -0.114032972933367200f, - 0.993389211148080650f, -0.114794926606510080f, 0.993300872358093280f, - -0.115556812748755260f, - 0.993211949234794500f, -0.116318630911904750f, 0.993122441830495580f, - -0.117080380647800590f, - 0.993032350197851410f, -0.117842061508324980f, 0.992941674389860470f, - -0.118603673045400720f, - 0.992850414459865100f, -0.119365214810991350f, 0.992758570461551140f, - -0.120126686357101500f, - 0.992666142448948020f, -0.120888087235777080f, 0.992573130476428810f, - -0.121649416999105530f, - 0.992479534598709970f, -0.122410675199216200f, 0.992385354870851670f, - -0.123171861388280480f, - 0.992290591348257370f, -0.123932975118512160f, 0.992195244086673920f, - -0.124694015942167640f, - 0.992099313142191800f, -0.125454983411546230f, 0.992002798571244520f, - -0.126215877078990350f, - 0.991905700430609330f, -0.126976696496885870f, 0.991808018777406430f, - -0.127737441217662310f, - 0.991709753669099530f, -0.128498110793793170f, 0.991610905163495370f, - -0.129258704777796140f, - 0.991511473318743900f, -0.130019222722233350f, 0.991411458193338540f, - -0.130779664179711710f, - 0.991310859846115440f, -0.131540028702883120f, 0.991209678336254060f, - -0.132300315844444650f, - 0.991107913723276890f, -0.133060525157139060f, 0.991005566067049370f, - -0.133820656193754720f, - 0.990902635427780010f, -0.134580708507126170f, 0.990799121866020370f, - -0.135340681650134210f, - 0.990695025442664630f, -0.136100575175706200f, 0.990590346218950150f, - -0.136860388636816380f, - 0.990485084256457090f, -0.137620121586486040f, 0.990379239617108160f, - -0.138379773577783890f, - 0.990272812363169110f, -0.139139344163826200f, 0.990165802557248400f, - -0.139898832897777210f, - 0.990058210262297120f, -0.140658239332849210f, 0.989950035541608990f, - -0.141417563022303020f, - 0.989841278458820530f, -0.142176803519448030f, 0.989731939077910570f, - -0.142935960377642670f, - 0.989622017463200890f, -0.143695033150294470f, 0.989511513679355190f, - -0.144454021390860470f, - 0.989400427791380380f, -0.145212924652847460f, 0.989288759864625170f, - -0.145971742489812210f, - 0.989176509964781010f, -0.146730474455361750f, 0.989063678157881540f, - -0.147489120103153570f, - 0.988950264510302990f, -0.148247678986896030f, 0.988836269088763540f, - -0.149006150660348450f, - 0.988721691960323780f, -0.149764534677321510f, 0.988606533192386450f, - -0.150522830591677400f, - 0.988490792852696590f, -0.151281037957330220f, 0.988374471009341280f, - -0.152039156328246050f, - 0.988257567730749460f, -0.152797185258443440f, 0.988140083085692570f, - -0.153555124301993450f, - 0.988022017143283530f, -0.154312973013020100f, 0.987903369972977790f, - -0.155070730945700510f, - 0.987784141644572180f, -0.155828397654265230f, 0.987664332228205710f, - -0.156585972692998430f, - 0.987543941794359230f, -0.157343455616238250f, 0.987422970413855410f, - -0.158100845978376980f, - 0.987301418157858430f, -0.158858143333861450f, 0.987179285097874340f, - -0.159615347237193060f, - 0.987056571305750970f, -0.160372457242928280f, 0.986933276853677710f, - -0.161129472905678810f, - 0.986809401814185530f, -0.161886393780111830f, 0.986684946260146690f, - -0.162643219420950310f, - 0.986559910264775410f, -0.163399949382973230f, 0.986434293901627180f, - -0.164156583221015810f, - 0.986308097244598670f, -0.164913120489969890f, 0.986181320367928270f, - -0.165669560744784120f, - 0.986053963346195440f, -0.166425903540464100f, 0.985926026254321130f, - -0.167182148432072940f, - 0.985797509167567480f, -0.167938294974731170f, 0.985668412161537550f, - -0.168694342723617330f, - 0.985538735312176060f, -0.169450291233967960f, 0.985408478695768420f, - -0.170206140061078070f, - 0.985277642388941220f, -0.170961888760301220f, 0.985146226468662230f, - -0.171717536887049970f, - 0.985014231012239840f, -0.172473083996795950f, 0.984881656097323700f, - -0.173228529645070320f, - 0.984748501801904210f, -0.173983873387463820f, 0.984614768204312600f, - -0.174739114779627200f, - 0.984480455383220930f, -0.175494253377271430f, 0.984345563417641900f, - -0.176249288736167880f, - 0.984210092386929030f, -0.177004220412148750f, 0.984074042370776450f, - -0.177759047961107170f, - 0.983937413449218920f, -0.178513770938997510f, 0.983800205702631600f, - -0.179268388901835750f, - 0.983662419211730250f, -0.180022901405699510f, 0.983524054057571260f, - -0.180777308006728590f, - 0.983385110321551180f, -0.181531608261124970f, 0.983245588085407070f, - -0.182285801725153300f, - 0.983105487431216290f, -0.183039887955140950f, 0.982964808441396440f, - -0.183793866507478450f, - 0.982823551198705240f, -0.184547736938619620f, 0.982681715786240860f, - -0.185301498805081900f, - 0.982539302287441240f, -0.186055151663446630f, 0.982396310786084690f, - -0.186808695070359270f, - 0.982252741366289370f, -0.187562128582529600f, 0.982108594112513610f, - -0.188315451756732120f, - 0.981963869109555240f, -0.189068664149806190f, 0.981818566442552500f, - -0.189821765318656410f, - 0.981672686196983110f, -0.190574754820252740f, 0.981526228458664770f, - -0.191327632211630900f, - 0.981379193313754560f, -0.192080397049892440f, 0.981231580848749730f, - -0.192833048892205230f, - 0.981083391150486710f, -0.193585587295803610f, 0.980934624306141640f, - -0.194338011817988600f, - 0.980785280403230430f, -0.195090322016128250f, 0.980635359529608120f, - -0.195842517447657850f, - 0.980484861773469380f, -0.196594597670080220f, 0.980333787223347960f, - -0.197346562240965920f, - 0.980182135968117430f, -0.198098410717953560f, 0.980029908096990090f, - -0.198850142658750090f, - 0.979877103699517640f, -0.199601757621130970f, 0.979723722865591170f, - -0.200353255162940450f, - 0.979569765685440520f, -0.201104634842091900f, 0.979415232249634780f, - -0.201855896216568050f, - 0.979260122649082020f, -0.202607038844421130f, 0.979104436975029250f, - -0.203358062283773320f, - 0.978948175319062200f, -0.204108966092816870f, 0.978791337773105670f, - -0.204859749829814420f, - 0.978633924429423210f, -0.205610413053099240f, 0.978475935380616830f, - -0.206360955321075510f, - 0.978317370719627650f, -0.207111376192218560f, 0.978158230539735050f, - -0.207861675225075070f, - 0.977998514934557140f, -0.208611851978263490f, 0.977838223998050430f, - -0.209361906010474160f, - 0.977677357824509930f, -0.210111836880469610f, 0.977515916508569280f, - -0.210861644147084860f, - 0.977353900145199960f, -0.211611327369227550f, 0.977191308829712280f, - -0.212360886105878420f, - 0.977028142657754390f, -0.213110319916091360f, 0.976864401725312640f, - -0.213859628358993750f, - 0.976700086128711840f, -0.214608810993786760f, 0.976535195964614470f, - -0.215357867379745550f, - 0.976369731330021140f, -0.216106797076219520f, 0.976203692322270560f, - -0.216855599642632620f, - 0.976037079039039020f, -0.217604274638483640f, 0.975869891578341030f, - -0.218352821623346320f, - 0.975702130038528570f, -0.219101240156869800f, 0.975533794518291360f, - -0.219849529798778700f, - 0.975364885116656980f, -0.220597690108873510f, 0.975195401932990370f, - -0.221345720647030810f, - 0.975025345066994120f, -0.222093620973203510f, 0.974854714618708430f, - -0.222841390647421120f, - 0.974683510688510670f, -0.223589029229789990f, 0.974511733377115720f, - -0.224336536280493600f, - 0.974339382785575860f, -0.225083911359792830f, 0.974166459015280320f, - -0.225831154028026170f, - 0.973992962167955830f, -0.226578263845610000f, 0.973818892345666100f, - -0.227325240373038860f, - 0.973644249650811980f, -0.228072083170885730f, 0.973469034186131070f, - -0.228818791799802220f, - 0.973293246054698250f, -0.229565365820518870f, 0.973116885359925130f, - -0.230311804793845440f, - 0.972939952205560180f, -0.231058108280671110f, 0.972762446695688570f, - -0.231804275841964780f, - 0.972584368934732210f, -0.232550307038775240f, 0.972405719027449770f, - -0.233296201432231590f, - 0.972226497078936270f, -0.234041958583543430f, 0.972046703194623500f, - -0.234787578054000970f, - 0.971866337480279400f, -0.235533059404975490f, 0.971685400042008540f, - -0.236278402197919570f, - 0.971503890986251780f, -0.237023605994367200f, 0.971321810419786160f, - -0.237768670355934190f, - 0.971139158449725090f, -0.238513594844318420f, 0.970955935183517970f, - -0.239258379021299980f, - 0.970772140728950350f, -0.240003022448741500f, 0.970587775194143630f, - -0.240747524688588430f, - 0.970402838687555500f, -0.241491885302869330f, 0.970217331317979160f, - -0.242236103853696010f, - 0.970031253194543970f, -0.242980179903263870f, 0.969844604426714830f, - -0.243724113013852160f, - 0.969657385124292450f, -0.244467902747824150f, 0.969469595397413060f, - -0.245211548667627540f, - 0.969281235356548530f, -0.245955050335794590f, 0.969092305112506210f, - -0.246698407314942410f, - 0.968902804776428870f, -0.247441619167773270f, 0.968712734459794780f, - -0.248184685457074780f, - 0.968522094274417380f, -0.248927605745720150f, 0.968330884332445190f, - -0.249670379596668570f, - 0.968139104746362440f, -0.250413006572965220f, 0.967946755628987800f, - -0.251155486237741920f, - 0.967753837093475510f, -0.251897818154216970f, 0.967560349253314360f, - -0.252640001885695520f, - 0.967366292222328510f, -0.253382036995570160f, 0.967171666114676640f, - -0.254123923047320620f, - 0.966976471044852070f, -0.254865659604514570f, 0.966780707127683270f, - -0.255607246230807380f, - 0.966584374478333120f, -0.256348682489942910f, 0.966387473212298900f, - -0.257089967945753120f, - 0.966190003445412500f, -0.257831102162158990f, 0.965991965293840570f, - -0.258572084703170340f, - 0.965793358874083680f, -0.259312915132886230f, 0.965594184302976830f, - -0.260053593015495190f, - 0.965394441697689400f, -0.260794117915275510f, 0.965194131175724720f, - -0.261534489396595520f, - 0.964993252854920320f, -0.262274707023913590f, 0.964791806853447900f, - -0.263014770361779000f, - 0.964589793289812760f, -0.263754678974831350f, 0.964387212282854290f, - -0.264494432427801630f, - 0.964184063951745830f, -0.265234030285511790f, 0.963980348415994110f, - -0.265973472112875590f, - 0.963776065795439840f, -0.266712757474898370f, 0.963571216210257320f, - -0.267451885936677620f, - 0.963365799780954050f, -0.268190857063403180f, 0.963159816628371360f, - -0.268929670420357260f, - 0.962953266873683880f, -0.269668325572915090f, 0.962746150638399410f, - -0.270406822086544820f, - 0.962538468044359160f, -0.271145159526808010f, 0.962330219213737400f, - -0.271883337459359720f, - 0.962121404269041580f, -0.272621355449948980f, 0.961912023333112210f, - -0.273359213064418680f, - 0.961702076529122540f, -0.274096909868706380f, 0.961491563980579000f, - -0.274834445428843940f, - 0.961280485811320640f, -0.275571819310958140f, 0.961068842145519350f, - -0.276309031081271080f, - 0.960856633107679660f, -0.277046080306099900f, 0.960643858822638590f, - -0.277782966551857690f, - 0.960430519415565790f, -0.278519689385053060f, 0.960216615011963430f, - -0.279256248372291180f, - 0.960002145737665960f, -0.279992643080273220f, 0.959787111718839900f, - -0.280728873075797190f, - 0.959571513081984520f, -0.281464937925757940f, 0.959355349953930790f, - -0.282200837197147560f, - 0.959138622461841890f, -0.282936570457055390f, 0.958921330733213170f, - -0.283672137272668430f, - 0.958703474895871600f, -0.284407537211271880f, 0.958485055077976100f, - -0.285142769840248670f, - 0.958266071408017670f, -0.285877834727080620f, 0.958046524014818600f, - -0.286612731439347790f, - 0.957826413027532910f, -0.287347459544729510f, 0.957605738575646350f, - -0.288082018611004130f, - 0.957384500788975860f, -0.288816408206049480f, 0.957162699797670210f, - -0.289550627897843030f, - 0.956940335732208820f, -0.290284677254462330f, 0.956717408723403050f, - -0.291018555844085090f, - 0.956493918902395100f, -0.291752263234989260f, 0.956269866400658030f, - -0.292485798995553880f, - 0.956045251349996410f, -0.293219162694258630f, 0.955820073882545420f, - -0.293952353899684660f, - 0.955594334130771110f, -0.294685372180514330f, 0.955368032227470350f, - -0.295418217105532010f, - 0.955141168305770780f, -0.296150888243623790f, 0.954913742499130520f, - -0.296883385163778270f, - 0.954685754941338340f, -0.297615707435086200f, 0.954457205766513490f, - -0.298347854626741400f, - 0.954228095109105670f, -0.299079826308040480f, 0.953998423103894490f, - -0.299811622048383350f, - 0.953768189885990330f, -0.300543241417273450f, 0.953537395590833280f, - -0.301274683984317950f, - 0.953306040354193860f, -0.302005949319228080f, 0.953074124312172200f, - -0.302737036991819140f, - 0.952841647601198720f, -0.303467946572011320f, 0.952608610358033350f, - -0.304198677629829110f, - 0.952375012719765880f, -0.304929229735402370f, 0.952140854823815830f, - -0.305659602458966120f, - 0.951906136807932350f, -0.306389795370860920f, 0.951670858810193860f, - -0.307119808041533100f, - 0.951435020969008340f, -0.307849640041534870f, 0.951198623423113230f, - -0.308579290941525090f, - 0.950961666311575080f, -0.309308760312268730f, 0.950724149773789610f, - -0.310038047724637890f, - 0.950486073949481700f, -0.310767152749611470f, 0.950247438978705230f, - -0.311496074958275910f, - 0.950008245001843000f, -0.312224813921824880f, 0.949768492159606680f, - -0.312953369211560200f, - 0.949528180593036670f, -0.313681740398891520f, 0.949287310443502120f, - -0.314409927055336660f, - 0.949045881852700560f, -0.315137928752522440f, 0.948803894962658490f, - -0.315865745062183960f, - 0.948561349915730270f, -0.316593375556165850f, 0.948318246854599090f, - -0.317320819806421740f, - 0.948074585922276230f, -0.318048077385014950f, 0.947830367262101010f, - -0.318775147864118480f, - 0.947585591017741090f, -0.319502030816015690f, 0.947340257333192050f, - -0.320228725813099860f, - 0.947094366352777220f, -0.320955232427875210f, 0.946847918221148000f, - -0.321681550232956580f, - 0.946600913083283530f, -0.322407678801069850f, 0.946353351084490590f, - -0.323133617705052330f, - 0.946105232370403450f, -0.323859366517852850f, 0.945856557086983910f, - -0.324584924812532150f, - 0.945607325380521280f, -0.325310292162262930f, 0.945357537397632290f, - -0.326035468140330240f, - 0.945107193285260610f, -0.326760452320131730f, 0.944856293190677210f, - -0.327485244275178000f, - 0.944604837261480260f, -0.328209843579092500f, 0.944352825645594750f, - -0.328934249805612200f, - 0.944100258491272660f, -0.329658462528587490f, 0.943847135947092690f, - -0.330382481321982780f, - 0.943593458161960390f, -0.331106305759876430f, 0.943339225285107720f, - -0.331829935416461110f, - 0.943084437466093490f, -0.332553369866044220f, 0.942829094854802710f, - -0.333276608683047930f, - 0.942573197601446870f, -0.333999651442009380f, 0.942316745856563780f, - -0.334722497717581220f, - 0.942059739771017310f, -0.335445147084531600f, 0.941802179495997650f, - -0.336167599117744520f, - 0.941544065183020810f, -0.336889853392220050f, 0.941285396983928660f, - -0.337611909483074620f, - 0.941026175050889260f, -0.338333766965541130f, 0.940766399536396070f, - -0.339055425414969640f, - 0.940506070593268300f, -0.339776884406826850f, 0.940245188374650880f, - -0.340498143516697160f, - 0.939983753034014050f, -0.341219202320282360f, 0.939721764725153340f, - -0.341940060393402190f, - 0.939459223602189920f, -0.342660717311994380f, 0.939196129819569900f, - -0.343381172652115040f, - 0.938932483532064600f, -0.344101425989938810f, 0.938668284894770170f, - -0.344821476901759290f, - 0.938403534063108060f, -0.345541324963989090f, 0.938138231192824360f, - -0.346260969753160010f, - 0.937872376439989890f, -0.346980410845923680f, 0.937605969960999990f, - -0.347699647819051380f, - 0.937339011912574960f, -0.348418680249434560f, 0.937071502451759190f, - -0.349137507714084970f, - 0.936803441735921560f, -0.349856129790134920f, 0.936534829922755500f, - -0.350574546054837510f, - 0.936265667170278260f, -0.351292756085567090f, 0.935995953636831410f, - -0.352010759459819080f, - 0.935725689481080370f, -0.352728555755210730f, 0.935454874862014620f, - -0.353446144549480810f, - 0.935183509938947610f, -0.354163525420490340f, 0.934911594871516090f, - -0.354880697946222790f, - 0.934639129819680780f, -0.355597661704783850f, 0.934366114943725790f, - -0.356314416274402410f, - 0.934092550404258980f, -0.357030961233429980f, 0.933818436362210960f, - -0.357747296160341900f, - 0.933543772978836170f, -0.358463420633736540f, 0.933268560415712050f, - -0.359179334232336500f, - 0.932992798834738960f, -0.359895036534988110f, 0.932716488398140250f, - -0.360610527120662270f, - 0.932439629268462360f, -0.361325805568454280f, 0.932162221608574430f, - -0.362040871457584180f, - 0.931884265581668150f, -0.362755724367397230f, 0.931605761351257830f, - -0.363470363877363760f, - 0.931326709081180430f, -0.364184789567079890f, 0.931047108935595280f, - -0.364899001016267320f, - 0.930766961078983710f, -0.365612997804773850f, 0.930486265676149780f, - -0.366326779512573590f, - 0.930205022892219070f, -0.367040345719767180f, 0.929923232892639670f, - -0.367753696006581980f, - 0.929640895843181330f, -0.368466829953372320f, 0.929358011909935500f, - -0.369179747140620020f, - 0.929074581259315860f, -0.369892447148934100f, 0.928790604058057020f, - -0.370604929559051670f, - 0.928506080473215590f, -0.371317193951837540f, 0.928221010672169440f, - -0.372029239908285010f, - 0.927935394822617890f, -0.372741067009515760f, 0.927649233092581180f, - -0.373452674836780300f, - 0.927362525650401110f, -0.374164062971457930f, 0.927075272664740100f, - -0.374875230995057540f, - 0.926787474304581750f, -0.375586178489217220f, 0.926499130739230510f, - -0.376296905035704790f, - 0.926210242138311380f, -0.377007410216418260f, 0.925920808671770070f, - -0.377717693613385640f, - 0.925630830509872720f, -0.378427754808765560f, 0.925340307823206310f, - -0.379137593384847320f, - 0.925049240782677580f, -0.379847208924051160f, 0.924757629559513910f, - -0.380556601008928520f, - 0.924465474325262600f, -0.381265769222162380f, 0.924172775251791200f, - -0.381974713146567220f, - 0.923879532511286740f, -0.382683432365089780f, 0.923585746276256670f, - -0.383391926460808660f, - 0.923291416719527640f, -0.384100195016935040f, 0.922996544014246250f, - -0.384808237616812880f, - 0.922701128333878630f, -0.385516053843918850f, 0.922405169852209880f, - -0.386223643281862980f, - 0.922108668743345180f, -0.386931005514388580f, 0.921811625181708120f, - -0.387638140125372730f, - 0.921514039342042010f, -0.388345046698826250f, 0.921215911399408730f, - -0.389051724818894380f, - 0.920917241529189520f, -0.389758174069856410f, 0.920618029907083970f, - -0.390464394036126590f, - 0.920318276709110590f, -0.391170384302253870f, 0.920017982111606570f, - -0.391876144452922350f, - 0.919717146291227360f, -0.392581674072951470f, 0.919415769424947070f, - -0.393286972747296400f, - 0.919113851690057770f, -0.393992040061048100f, 0.918811393264170050f, - -0.394696875599433560f, - 0.918508394325212250f, -0.395401478947816350f, 0.918204855051430900f, - -0.396105849691696270f, - 0.917900775621390500f, -0.396809987416710310f, 0.917596156213972950f, - -0.397513891708632330f, - 0.917290997008377910f, -0.398217562153373560f, 0.916985298184123000f, - -0.398920998336982910f, - 0.916679059921042700f, -0.399624199845646790f, 0.916372282399289140f, - -0.400327166265690090f, - 0.916064965799331720f, -0.401029897183575620f, 0.915757110301956720f, - -0.401732392185905010f, - 0.915448716088267830f, -0.402434650859418430f, 0.915139783339685260f, - -0.403136672790995300f, - 0.914830312237946200f, -0.403838457567654070f, 0.914520302965104450f, - -0.404540004776553000f, - 0.914209755703530690f, -0.405241314004989860f, 0.913898670635911680f, - -0.405942384840402510f, - 0.913587047945250810f, -0.406643216870369030f, 0.913274887814867760f, - -0.407343809682607970f, - 0.912962190428398210f, -0.408044162864978690f, 0.912648955969793900f, - -0.408744276005481360f, - 0.912335184623322750f, -0.409444148692257590f, 0.912020876573568340f, - -0.410143780513590240f, - 0.911706032005429880f, -0.410843171057903910f, 0.911390651104122430f, - -0.411542319913765220f, - 0.911074734055176360f, -0.412241226669882890f, 0.910758281044437570f, - -0.412939890915108080f, - 0.910441292258067250f, -0.413638312238434500f, 0.910123767882541680f, - -0.414336490228999100f, - 0.909805708104652220f, -0.415034424476081630f, 0.909487113111505430f, - -0.415732114569105360f, - 0.909167983090522380f, -0.416429560097637150f, 0.908848318229439120f, - -0.417126760651387870f, - 0.908528118716306120f, -0.417823715820212270f, 0.908207384739488700f, - -0.418520425194109700f, - 0.907886116487666260f, -0.419216888363223910f, 0.907564314149832630f, - -0.419913104917843620f, - 0.907241977915295820f, -0.420609074448402510f, 0.906919107973678140f, - -0.421304796545479640f, - 0.906595704514915330f, -0.422000270799799680f, 0.906271767729257660f, - -0.422695496802232950f, - 0.905947297807268460f, -0.423390474143796050f, 0.905622294939825270f, - -0.424085202415651560f, - 0.905296759318118820f, -0.424779681209108810f, 0.904970691133653250f, - -0.425473910115623800f, - 0.904644090578246240f, -0.426167888726799620f, 0.904316957844028320f, - -0.426861616634386430f, - 0.903989293123443340f, -0.427555093430282080f, 0.903661096609247980f, - -0.428248318706531960f, - 0.903332368494511820f, -0.428941292055329490f, 0.903003108972617150f, - -0.429634013069016380f, - 0.902673318237258830f, -0.430326481340082610f, 0.902342996482444200f, - -0.431018696461167030f, - 0.902012143902493180f, -0.431710658025057260f, 0.901680760692037730f, - -0.432402365624690140f, - 0.901348847046022030f, -0.433093818853151960f, 0.901016403159702330f, - -0.433785017303678520f, - 0.900683429228646970f, -0.434475960569655650f, 0.900349925448735600f, - -0.435166648244619260f, - 0.900015892016160280f, -0.435857079922255470f, 0.899681329127423930f, - -0.436547255196401200f, - 0.899346236979341570f, -0.437237173661044090f, 0.899010615769039070f, - -0.437926834910322860f, - 0.898674465693953820f, -0.438616238538527660f, 0.898337786951834310f, - -0.439305384140099950f, - 0.898000579740739880f, -0.439994271309633260f, 0.897662844259040860f, - -0.440682899641872900f, - 0.897324580705418320f, -0.441371268731716670f, 0.896985789278863970f, - -0.442059378174214700f, - 0.896646470178680150f, -0.442747227564570020f, 0.896306623604479550f, - -0.443434816498138480f, - 0.895966249756185220f, -0.444122144570429200f, 0.895625348834030110f, - -0.444809211377104880f, - 0.895283921038557580f, -0.445496016513981740f, 0.894941966570620750f, - -0.446182559577030070f, - 0.894599485631382700f, -0.446868840162374160f, 0.894256478422316040f, - -0.447554857866293010f, - 0.893912945145203250f, -0.448240612285219890f, 0.893568886002135910f, - -0.448926103015743260f, - 0.893224301195515320f, -0.449611329654606540f, 0.892879190928051680f, - -0.450296291798708610f, - 0.892533555402764580f, -0.450980989045103860f, 0.892187394822982480f, - -0.451665420991002490f, - 0.891840709392342720f, -0.452349587233770890f, 0.891493499314791380f, - -0.453033487370931580f, - 0.891145764794583180f, -0.453717121000163870f, 0.890797506036281490f, - -0.454400487719303580f, - 0.890448723244757880f, -0.455083587126343840f, 0.890099416625192320f, - -0.455766418819434640f, - 0.889749586383072780f, -0.456448982396883920f, 0.889399232724195520f, - -0.457131277457156980f, - 0.889048355854664570f, -0.457813303598877170f, 0.888696955980891600f, - -0.458495060420826270f, - 0.888345033309596350f, -0.459176547521944090f, 0.887992588047805560f, - -0.459857764501329540f, - 0.887639620402853930f, -0.460538710958240010f, 0.887286130582383150f, - -0.461219386492092380f, - 0.886932118794342190f, -0.461899790702462730f, 0.886577585246987040f, - -0.462579923189086810f, - 0.886222530148880640f, -0.463259783551860150f, 0.885866953708892790f, - -0.463939371390838520f, - 0.885510856136199950f, -0.464618686306237820f, 0.885154237640285110f, - -0.465297727898434600f, - 0.884797098430937790f, -0.465976495767966180f, 0.884439438718253810f, - -0.466654989515530920f, - 0.884081258712634990f, -0.467333208741988420f, 0.883722558624789660f, - -0.468011153048359830f, - 0.883363338665731580f, -0.468688822035827900f, 0.883003599046780830f, - -0.469366215305737520f, - 0.882643339979562790f, -0.470043332459595620f, 0.882282561676008710f, - -0.470720173099071600f, - 0.881921264348355050f, -0.471396736825997640f, 0.881559448209143780f, - -0.472073023242368660f, - 0.881197113471222090f, -0.472749031950342790f, 0.880834260347742040f, - -0.473424762552241530f, - 0.880470889052160750f, -0.474100214650549970f, 0.880106999798240360f, - -0.474775387847917120f, - 0.879742592800047410f, -0.475450281747155870f, 0.879377668271953290f, - -0.476124895951243580f, - 0.879012226428633530f, -0.476799230063322090f, 0.878646267485068130f, - -0.477473283686698060f, - 0.878279791656541580f, -0.478147056424843010f, 0.877912799158641840f, - -0.478820547881393890f, - 0.877545290207261350f, -0.479493757660153010f, 0.877177265018595940f, - -0.480166685365088390f, - 0.876808723809145650f, -0.480839330600333960f, 0.876439666795713610f, - -0.481511692970189860f, - 0.876070094195406600f, -0.482183772079122720f, 0.875700006225634600f, - -0.482855567531765670f, - 0.875329403104110890f, -0.483527078932918740f, 0.874958285048851650f, - -0.484198305887549030f, - 0.874586652278176110f, -0.484869248000791060f, 0.874214505010706300f, - -0.485539904877946960f, - 0.873841843465366860f, -0.486210276124486420f, 0.873468667861384880f, - -0.486880361346047340f, - 0.873094978418290090f, -0.487550160148436000f, 0.872720775355914300f, - -0.488219672137626790f, - 0.872346058894391540f, -0.488888896919763170f, 0.871970829254157810f, - -0.489557834101157440f, - 0.871595086655950980f, -0.490226483288291160f, 0.871218831320811020f, - -0.490894844087815090f, - 0.870842063470078980f, -0.491562916106549900f, 0.870464783325397670f, - -0.492230698951486020f, - 0.870086991108711460f, -0.492898192229784040f, 0.869708687042265670f, - -0.493565395548774770f, - 0.869329871348606840f, -0.494232308515959670f, 0.868950544250582380f, - -0.494898930739011260f, - 0.868570705971340900f, -0.495565261825772540f, 0.868190356734331310f, - -0.496231301384258250f, - 0.867809496763303320f, -0.496897049022654470f, 0.867428126282306920f, - -0.497562504349319150f, - 0.867046245515692650f, -0.498227666972781870f, 0.866663854688111130f, - -0.498892536501744590f, - 0.866280954024512990f, -0.499557112545081840f, 0.865897543750148820f, - -0.500221394711840680f, - 0.865513624090569090f, -0.500885382611240710f, 0.865129195271623800f, - -0.501549075852675390f, - 0.864744257519462380f, -0.502212474045710790f, 0.864358811060534030f, - -0.502875576800086990f, - 0.863972856121586810f, -0.503538383725717580f, 0.863586392929668100f, - -0.504200894432690340f, - 0.863199421712124160f, -0.504863108531267590f, 0.862811942696600330f, - -0.505525025631885390f, - 0.862423956111040610f, -0.506186645345155230f, 0.862035462183687210f, - -0.506847967281863210f, - 0.861646461143081300f, -0.507508991052970870f, 0.861256953218062170f, - -0.508169716269614600f, - 0.860866938637767310f, -0.508830142543106990f, 0.860476417631632070f, - -0.509490269484936360f, - 0.860085390429390140f, -0.510150096706766810f, 0.859693857261072610f, - -0.510809623820439040f, - 0.859301818357008470f, -0.511468850437970300f, 0.858909273947823900f, - -0.512127776171554690f, - 0.858516224264442740f, -0.512786400633562960f, 0.858122669538086140f, - -0.513444723436543460f, - 0.857728610000272120f, -0.514102744193221660f, 0.857334045882815590f, - -0.514760462516501200f, - 0.856938977417828760f, -0.515417878019462930f, 0.856543404837719960f, - -0.516074990315366630f, - 0.856147328375194470f, -0.516731799017649870f, 0.855750748263253920f, - -0.517388303739929060f, - 0.855353664735196030f, -0.518044504095999340f, 0.854956078024614930f, - -0.518700399699834950f, - 0.854557988365400530f, -0.519355990165589640f, 0.854159395991738850f, - -0.520011275107596040f, - 0.853760301138111410f, -0.520666254140367160f, 0.853360704039295430f, - -0.521320926878595660f, - 0.852960604930363630f, -0.521975292937154390f, 0.852560004046684080f, - -0.522629351931096610f, - 0.852158901623919830f, -0.523283103475656430f, 0.851757297898029120f, - -0.523936547186248600f, - 0.851355193105265200f, -0.524589682678468950f, 0.850952587482175730f, - -0.525242509568094710f, - 0.850549481265603480f, -0.525895027471084630f, 0.850145874692685210f, - -0.526547236003579440f, - 0.849741768000852550f, -0.527199134781901280f, 0.849337161427830780f, - -0.527850723422555230f, - 0.848932055211639610f, -0.528502001542228480f, 0.848526449590592650f, - -0.529152968757790610f, - 0.848120344803297230f, -0.529803624686294610f, 0.847713741088654380f, - -0.530453968944976320f, - 0.847306638685858320f, -0.531104001151255000f, 0.846899037834397240f, - -0.531753720922733320f, - 0.846490938774052130f, -0.532403127877197900f, 0.846082341744897050f, - -0.533052221632619450f, - 0.845673246987299070f, -0.533701001807152960f, 0.845263654741918220f, - -0.534349468019137520f, - 0.844853565249707120f, -0.534997619887097150f, 0.844442978751910660f, - -0.535645457029741090f, - 0.844031895490066410f, -0.536292979065963180f, 0.843620315706004150f, - -0.536940185614842910f, - 0.843208239641845440f, -0.537587076295645390f, 0.842795667540004120f, - -0.538233650727821700f, - 0.842382599643185850f, -0.538879908531008420f, 0.841969036194387680f, - -0.539525849325028890f, - 0.841554977436898440f, -0.540171472729892850f, 0.841140423614298080f, - -0.540816778365796670f, - 0.840725374970458070f, -0.541461765853123440f, 0.840309831749540770f, - -0.542106434812443920f, - 0.839893794195999520f, -0.542750784864515890f, 0.839477262554578550f, - -0.543394815630284800f, - 0.839060237070312740f, -0.544038526730883820f, 0.838642717988527300f, - -0.544681917787634530f, - 0.838224705554838080f, -0.545324988422046460f, 0.837806200015150940f, - -0.545967738255817570f, - 0.837387201615661940f, -0.546610166910834860f, 0.836967710602857020f, - -0.547252274009174090f, - 0.836547727223512010f, -0.547894059173100190f, 0.836127251724692270f, - -0.548535522025067390f, - 0.835706284353752600f, -0.549176662187719660f, 0.835284825358337370f, - -0.549817479283890910f, - 0.834862874986380010f, -0.550457972936604810f, 0.834440433486103190f, - -0.551098142769075430f, - 0.834017501106018130f, -0.551737988404707340f, 0.833594078094925140f, - -0.552377509467096070f, - 0.833170164701913190f, -0.553016705580027470f, 0.832745761176359460f, - -0.553655576367479310f, - 0.832320867767929680f, -0.554294121453620000f, 0.831895484726577590f, - -0.554932340462810370f, - 0.831469612302545240f, -0.555570233019602180f, 0.831043250746362320f, - -0.556207798748739930f, - 0.830616400308846310f, -0.556845037275160100f, 0.830189061241102370f, - -0.557481948223991550f, - 0.829761233794523050f, -0.558118531220556100f, 0.829332918220788250f, - -0.558754785890368310f, - 0.828904114771864870f, -0.559390711859136140f, 0.828474823700007130f, - -0.560026308752760380f, - 0.828045045257755800f, -0.560661576197336030f, 0.827614779697938400f, - -0.561296513819151470f, - 0.827184027273669130f, -0.561931121244689470f, 0.826752788238348520f, - -0.562565398100626560f, - 0.826321062845663530f, -0.563199344013834090f, 0.825888851349586780f, - -0.563832958611378170f, - 0.825456154004377550f, -0.564466241520519500f, 0.825022971064580220f, - -0.565099192368713980f, - 0.824589302785025290f, -0.565731810783613120f, 0.824155149420828570f, - -0.566364096393063840f, - 0.823720511227391430f, -0.566996048825108680f, 0.823285388460400110f, - -0.567627667707986230f, - 0.822849781375826430f, -0.568258952670131490f, 0.822413690229926390f, - -0.568889903340175860f, - 0.821977115279241550f, -0.569520519346947140f, 0.821540056780597610f, - -0.570150800319470300f, - 0.821102514991104650f, -0.570780745886967260f, 0.820664490168157460f, - -0.571410355678857230f, - 0.820225982569434690f, -0.572039629324757050f, 0.819786992452898990f, - -0.572668566454481160f, - 0.819347520076796900f, -0.573297166698042200f, 0.818907565699658950f, - -0.573925429685650750f, - 0.818467129580298660f, -0.574553355047715760f, 0.818026211977813440f, - -0.575180942414845080f, - 0.817584813151583710f, -0.575808191417845340f, 0.817142933361272970f, - -0.576435101687721830f, - 0.816700572866827850f, -0.577061672855679440f, 0.816257731928477390f, - -0.577687904553122800f, - 0.815814410806733780f, -0.578313796411655590f, 0.815370609762391290f, - -0.578939348063081780f, - 0.814926329056526620f, -0.579564559139405630f, 0.814481568950498610f, - -0.580189429272831680f, - 0.814036329705948410f, -0.580813958095764530f, 0.813590611584798510f, - -0.581438145240810170f, - 0.813144414849253590f, -0.582061990340775440f, 0.812697739761799490f, - -0.582685493028668460f, - 0.812250586585203880f, -0.583308652937698290f, 0.811802955582515470f, - -0.583931469701276180f, - 0.811354847017063730f, -0.584553942953015330f, 0.810906261152459670f, - -0.585176072326730410f, - 0.810457198252594770f, -0.585797857456438860f, 0.810007658581641140f, - -0.586419297976360500f, - 0.809557642404051260f, -0.587040393520917970f, 0.809107149984558240f, - -0.587661143724736660f, - 0.808656181588174980f, -0.588281548222645220f, 0.808204737480194720f, - -0.588901606649675720f, - 0.807752817926190360f, -0.589521318641063940f, 0.807300423192014450f, - -0.590140683832248820f, - 0.806847553543799330f, -0.590759701858874160f, 0.806394209247956240f, - -0.591378372356787580f, - 0.805940390571176280f, -0.591996694962040990f, 0.805486097780429230f, - -0.592614669310891130f, - 0.805031331142963660f, -0.593232295039799800f, 0.804576090926307110f, - -0.593849571785433630f, - 0.804120377398265810f, -0.594466499184664430f, 0.803664190826924090f, - -0.595083076874569960f, - 0.803207531480644940f, -0.595699304492433360f, 0.802750399628069160f, - -0.596315181675743710f, - 0.802292795538115720f, -0.596930708062196500f, 0.801834719479981310f, - -0.597545883289693160f, - 0.801376171723140240f, -0.598160706996342270f, 0.800917152537344300f, - -0.598775178820458720f, - 0.800457662192622820f, -0.599389298400564540f, 0.799997700959281910f, - -0.600003065375388940f, - 0.799537269107905010f, -0.600616479383868970f, 0.799076366909352350f, - -0.601229540065148500f, - 0.798614994634760820f, -0.601842247058580030f, 0.798153152555543750f, - -0.602454600003723750f, - 0.797690840943391160f, -0.603066598540348160f, 0.797228060070268810f, - -0.603678242308430370f, - 0.796764810208418830f, -0.604289530948155960f, 0.796301091630359110f, - -0.604900464099919820f, - 0.795836904608883570f, -0.605511041404325550f, 0.795372249417061310f, - -0.606121262502186120f, - 0.794907126328237010f, -0.606731127034524480f, 0.794441535616030590f, - -0.607340634642572930f, - 0.793975477554337170f, -0.607949784967773630f, 0.793508952417326660f, - -0.608558577651779450f, - 0.793041960479443640f, -0.609167012336453210f, 0.792574502015407690f, - -0.609775088663868430f, - 0.792106577300212390f, -0.610382806276309480f, 0.791638186609125880f, - -0.610990164816271660f, - 0.791169330217690200f, -0.611597163926461910f, 0.790700008401721610f, - -0.612203803249797950f, - 0.790230221437310030f, -0.612810082429409710f, 0.789759969600819070f, - -0.613416001108638590f, - 0.789289253168885650f, -0.614021558931038380f, 0.788818072418420280f, - -0.614626755540375050f, - 0.788346427626606340f, -0.615231590580626820f, 0.787874319070900220f, - -0.615836063695985090f, - 0.787401747029031430f, -0.616440174530853650f, 0.786928711779001810f, - -0.617043922729849760f, - 0.786455213599085770f, -0.617647307937803870f, 0.785981252767830150f, - -0.618250329799760250f, - 0.785506829564053930f, -0.618852987960976320f, 0.785031944266848080f, - -0.619455282066924020f, - 0.784556597155575240f, -0.620057211763289100f, 0.784080788509869950f, - -0.620658776695972140f, - 0.783604518609638200f, -0.621259976511087550f, 0.783127787735057310f, - -0.621860810854965360f, - 0.782650596166575730f, -0.622461279374149970f, 0.782172944184913010f, - -0.623061381715401260f, - 0.781694832071059390f, -0.623661117525694530f, 0.781216260106276090f, - -0.624260486452220650f, - 0.780737228572094490f, -0.624859488142386340f, 0.780257737750316590f, - -0.625458122243814360f, - 0.779777787923014550f, -0.626056388404343520f, 0.779297379372530300f, - -0.626654286272029350f, - 0.778816512381475980f, -0.627251815495144080f, 0.778335187232733210f, - -0.627848975722176460f, - 0.777853404209453150f, -0.628445766601832710f, 0.777371163595056310f, - -0.629042187783036000f, - 0.776888465673232440f, -0.629638238914926980f, 0.776405310727940390f, - -0.630233919646864370f, - 0.775921699043407690f, -0.630829229628424470f, 0.775437630904130540f, - -0.631424168509401860f, - 0.774953106594873930f, -0.632018735939809060f, 0.774468126400670860f, - -0.632612931569877410f, - 0.773982690606822900f, -0.633206755050057190f, 0.773496799498899050f, - -0.633800206031017280f, - 0.773010453362736990f, -0.634393284163645490f, 0.772523652484441330f, - -0.634985989099049460f, - 0.772036397150384520f, -0.635578320488556110f, 0.771548687647206300f, - -0.636170277983712170f, - 0.771060524261813820f, -0.636761861236284200f, 0.770571907281380810f, - -0.637353069898259130f, - 0.770082836993347900f, -0.637943903621844060f, 0.769593313685422940f, - -0.638534362059466790f, - 0.769103337645579700f, -0.639124444863775730f, 0.768612909162058380f, - -0.639714151687640450f, - 0.768122028523365420f, -0.640303482184151670f, 0.767630696018273380f, - -0.640892436006621380f, - 0.767138911935820400f, -0.641481012808583160f, 0.766646676565310380f, - -0.642069212243792540f, - 0.766153990196312920f, -0.642657033966226860f, 0.765660853118662500f, - -0.643244477630085850f, - 0.765167265622458960f, -0.643831542889791390f, 0.764673227998067140f, - -0.644418229399988380f, - 0.764178740536116670f, -0.645004536815543930f, 0.763683803527501870f, - -0.645590464791548690f, - 0.763188417263381270f, -0.646176012983316280f, 0.762692582035177980f, - -0.646761181046383920f, - 0.762196298134578900f, -0.647345968636512060f, 0.761699565853535380f, - -0.647930375409685340f, - 0.761202385484261780f, -0.648514401022112440f, 0.760704757319236920f, - -0.649098045130225950f, - 0.760206681651202420f, -0.649681307390683190f, 0.759708158773163440f, - -0.650264187460365850f, - 0.759209188978388070f, -0.650846684996380880f, 0.758709772560407390f, - -0.651428799656059820f, - 0.758209909813015280f, -0.652010531096959500f, 0.757709601030268080f, - -0.652591878976862440f, - 0.757208846506484570f, -0.653172842953776760f, 0.756707646536245670f, - -0.653753422685936060f, - 0.756206001414394540f, -0.654333617831800440f, 0.755703911436035880f, - -0.654913428050056030f, - 0.755201376896536550f, -0.655492852999615350f, 0.754698398091524500f, - -0.656071892339617600f, - 0.754194975316889170f, -0.656650545729428940f, 0.753691108868781210f, - -0.657228812828642540f, - 0.753186799043612520f, -0.657806693297078640f, 0.752682046138055340f, - -0.658384186794785050f, - 0.752176850449042810f, -0.658961292982037320f, 0.751671212273768430f, - -0.659538011519338660f, - 0.751165131909686480f, -0.660114342067420480f, 0.750658609654510700f, - -0.660690284287242300f, - 0.750151645806215070f, -0.661265837839992270f, 0.749644240663033480f, - -0.661841002387086870f, - 0.749136394523459370f, -0.662415777590171780f, 0.748628107686245440f, - -0.662990163111121470f, - 0.748119380450403600f, -0.663564158612039770f, 0.747610213115205150f, - -0.664137763755260010f, - 0.747100605980180130f, -0.664710978203344790f, 0.746590559345117310f, - -0.665283801619087180f, - 0.746080073510063780f, -0.665856233665509720f, 0.745569148775325430f, - -0.666428274005865240f, - 0.745057785441466060f, -0.666999922303637470f, 0.744545983809307370f, - -0.667571178222540310f, - 0.744033744179929290f, -0.668142041426518450f, 0.743521066854669120f, - -0.668712511579747980f, - 0.743007952135121720f, -0.669282588346636010f, 0.742494400323139180f, - -0.669852271391821020f, - 0.741980411720831070f, -0.670421560380173090f, 0.741465986630563290f, - -0.670990454976794220f, - 0.740951125354959110f, -0.671558954847018330f, 0.740435828196898020f, - -0.672127059656411730f, - 0.739920095459516200f, -0.672694769070772860f, 0.739403927446205760f, - -0.673262082756132970f, - 0.738887324460615110f, -0.673829000378756040f, 0.738370286806648620f, - -0.674395521605139050f, - 0.737852814788465980f, -0.674961646102011930f, 0.737334908710482910f, - -0.675527373536338520f, - 0.736816568877369900f, -0.676092703575315920f, 0.736297795594053170f, - -0.676657635886374950f, - 0.735778589165713590f, -0.677222170137180330f, 0.735258949897786840f, - -0.677786305995631500f, - 0.734738878095963500f, -0.678350043129861470f, 0.734218374066188280f, - -0.678913381208238410f, - 0.733697438114660370f, -0.679476319899364970f, 0.733176070547832740f, - -0.680038858872078930f, - 0.732654271672412820f, -0.680600997795453020f, 0.732132041795361290f, - -0.681162736338795430f, - 0.731609381223892630f, -0.681724074171649710f, 0.731086290265474340f, - -0.682285010963795570f, - 0.730562769227827590f, -0.682845546385248080f, 0.730038818418926260f, - -0.683405680106258680f, - 0.729514438146997010f, -0.683965411797315400f, 0.728989628720519420f, - -0.684524741129142300f, - 0.728464390448225200f, -0.685083667772700360f, 0.727938723639098620f, - -0.685642191399187470f, - 0.727412628602375770f, -0.686200311680038590f, 0.726886105647544970f, - -0.686758028286925890f, - 0.726359155084346010f, -0.687315340891759050f, 0.725831777222770370f, - -0.687872249166685550f, - 0.725303972373060770f, -0.688428752784090440f, 0.724775740845711280f, - -0.688984851416597040f, - 0.724247082951467000f, -0.689540544737066830f, 0.723717999001323500f, - -0.690095832418599950f, - 0.723188489306527460f, -0.690650714134534600f, 0.722658554178575610f, - -0.691205189558448450f, - 0.722128193929215350f, -0.691759258364157750f, 0.721597408870443770f, - -0.692312920225718220f, - 0.721066199314508110f, -0.692866174817424630f, 0.720534565573905270f, - -0.693419021813811760f, - 0.720002507961381650f, -0.693971460889654000f, 0.719470026789932990f, - -0.694523491719965520f, - 0.718937122372804490f, -0.695075113980000880f, 0.718403795023489830f, - -0.695626327345254870f, - 0.717870045055731710f, -0.696177131491462990f, 0.717335872783521730f, - -0.696727526094601200f, - 0.716801278521099540f, -0.697277510830886520f, 0.716266262582953120f, - -0.697827085376777290f, - 0.715730825283818590f, -0.698376249408972920f, 0.715194966938680120f, - -0.698925002604414150f, - 0.714658687862769090f, -0.699473344640283770f, 0.714121988371564820f, - -0.700021275194006250f, - 0.713584868780793640f, -0.700568793943248340f, 0.713047329406429340f, - -0.701115900565918660f, - 0.712509370564692320f, -0.701662594740168450f, 0.711970992572050100f, - -0.702208876144391870f, - 0.711432195745216430f, -0.702754744457225300f, 0.710892980401151680f, - -0.703300199357548730f, - 0.710353346857062420f, -0.703845240524484940f, 0.709813295430400840f, - -0.704389867637400410f, - 0.709272826438865690f, -0.704934080375904880f, 0.708731940200400650f, - -0.705477878419852100f, - 0.708190637033195400f, -0.706021261449339740f, 0.707648917255684350f, - -0.706564229144709510f, - 0.707106781186547570f, -0.707106781186547460f, 0.706564229144709620f, - -0.707648917255684350f, - 0.706021261449339740f, -0.708190637033195290f, 0.705477878419852210f, - -0.708731940200400650f, - 0.704934080375904990f, -0.709272826438865580f, 0.704389867637400410f, - -0.709813295430400840f, - 0.703845240524484940f, -0.710353346857062310f, 0.703300199357548730f, - -0.710892980401151680f, - 0.702754744457225300f, -0.711432195745216430f, 0.702208876144391870f, - -0.711970992572049990f, - 0.701662594740168570f, -0.712509370564692320f, 0.701115900565918660f, - -0.713047329406429230f, - 0.700568793943248450f, -0.713584868780793520f, 0.700021275194006360f, - -0.714121988371564710f, - 0.699473344640283770f, -0.714658687862768980f, 0.698925002604414150f, - -0.715194966938680010f, - 0.698376249408972920f, -0.715730825283818590f, 0.697827085376777290f, - -0.716266262582953120f, - 0.697277510830886630f, -0.716801278521099540f, 0.696727526094601200f, - -0.717335872783521730f, - 0.696177131491462990f, -0.717870045055731710f, 0.695626327345254870f, - -0.718403795023489720f, - 0.695075113980000880f, -0.718937122372804380f, 0.694523491719965520f, - -0.719470026789932990f, - 0.693971460889654000f, -0.720002507961381650f, 0.693419021813811880f, - -0.720534565573905270f, - 0.692866174817424740f, -0.721066199314508110f, 0.692312920225718220f, - -0.721597408870443660f, - 0.691759258364157750f, -0.722128193929215350f, 0.691205189558448450f, - -0.722658554178575610f, - 0.690650714134534720f, -0.723188489306527350f, 0.690095832418599950f, - -0.723717999001323390f, - 0.689540544737066940f, -0.724247082951466890f, 0.688984851416597150f, - -0.724775740845711280f, - 0.688428752784090550f, -0.725303972373060660f, 0.687872249166685550f, - -0.725831777222770370f, - 0.687315340891759160f, -0.726359155084346010f, 0.686758028286925890f, - -0.726886105647544970f, - 0.686200311680038700f, -0.727412628602375770f, 0.685642191399187470f, - -0.727938723639098620f, - 0.685083667772700360f, -0.728464390448225200f, 0.684524741129142300f, - -0.728989628720519310f, - 0.683965411797315510f, -0.729514438146996900f, 0.683405680106258790f, - -0.730038818418926150f, - 0.682845546385248080f, -0.730562769227827590f, 0.682285010963795570f, - -0.731086290265474230f, - 0.681724074171649820f, -0.731609381223892520f, 0.681162736338795430f, - -0.732132041795361290f, - 0.680600997795453130f, -0.732654271672412820f, 0.680038858872079040f, - -0.733176070547832740f, - 0.679476319899365080f, -0.733697438114660260f, 0.678913381208238410f, - -0.734218374066188170f, - 0.678350043129861580f, -0.734738878095963390f, 0.677786305995631500f, - -0.735258949897786730f, - 0.677222170137180450f, -0.735778589165713480f, 0.676657635886374950f, - -0.736297795594053060f, - 0.676092703575316030f, -0.736816568877369790f, 0.675527373536338630f, - -0.737334908710482790f, - 0.674961646102012040f, -0.737852814788465980f, 0.674395521605139050f, - -0.738370286806648510f, - 0.673829000378756150f, -0.738887324460615110f, 0.673262082756132970f, - -0.739403927446205760f, - 0.672694769070772970f, -0.739920095459516090f, 0.672127059656411840f, - -0.740435828196898020f, - 0.671558954847018330f, -0.740951125354959110f, 0.670990454976794220f, - -0.741465986630563290f, - 0.670421560380173090f, -0.741980411720830960f, 0.669852271391821130f, - -0.742494400323139180f, - 0.669282588346636010f, -0.743007952135121720f, 0.668712511579748090f, - -0.743521066854669120f, - 0.668142041426518560f, -0.744033744179929180f, 0.667571178222540310f, - -0.744545983809307250f, - 0.666999922303637470f, -0.745057785441465950f, 0.666428274005865350f, - -0.745569148775325430f, - 0.665856233665509720f, -0.746080073510063780f, 0.665283801619087180f, - -0.746590559345117310f, - 0.664710978203344900f, -0.747100605980180130f, 0.664137763755260010f, - -0.747610213115205150f, - 0.663564158612039880f, -0.748119380450403490f, 0.662990163111121470f, - -0.748628107686245330f, - 0.662415777590171780f, -0.749136394523459260f, 0.661841002387086870f, - -0.749644240663033480f, - 0.661265837839992270f, -0.750151645806214960f, 0.660690284287242300f, - -0.750658609654510590f, - 0.660114342067420480f, -0.751165131909686370f, 0.659538011519338770f, - -0.751671212273768430f, - 0.658961292982037320f, -0.752176850449042700f, 0.658384186794785050f, - -0.752682046138055230f, - 0.657806693297078640f, -0.753186799043612410f, 0.657228812828642650f, - -0.753691108868781210f, - 0.656650545729429050f, -0.754194975316889170f, 0.656071892339617710f, - -0.754698398091524390f, - 0.655492852999615460f, -0.755201376896536550f, 0.654913428050056150f, - -0.755703911436035880f, - 0.654333617831800550f, -0.756206001414394540f, 0.653753422685936170f, - -0.756707646536245670f, - 0.653172842953776760f, -0.757208846506484460f, 0.652591878976862550f, - -0.757709601030268080f, - 0.652010531096959500f, -0.758209909813015280f, 0.651428799656059820f, - -0.758709772560407390f, - 0.650846684996380990f, -0.759209188978387960f, 0.650264187460365960f, - -0.759708158773163440f, - 0.649681307390683190f, -0.760206681651202420f, 0.649098045130226060f, - -0.760704757319236920f, - 0.648514401022112550f, -0.761202385484261780f, 0.647930375409685460f, - -0.761699565853535270f, - 0.647345968636512060f, -0.762196298134578900f, 0.646761181046383920f, - -0.762692582035177870f, - 0.646176012983316390f, -0.763188417263381270f, 0.645590464791548800f, - -0.763683803527501870f, - 0.645004536815544040f, -0.764178740536116670f, 0.644418229399988380f, - -0.764673227998067140f, - 0.643831542889791500f, -0.765167265622458960f, 0.643244477630085850f, - -0.765660853118662390f, - 0.642657033966226860f, -0.766153990196312810f, 0.642069212243792540f, - -0.766646676565310380f, - 0.641481012808583160f, -0.767138911935820400f, 0.640892436006621380f, - -0.767630696018273270f, - 0.640303482184151670f, -0.768122028523365310f, 0.639714151687640450f, - -0.768612909162058270f, - 0.639124444863775730f, -0.769103337645579590f, 0.638534362059466790f, - -0.769593313685422940f, - 0.637943903621844170f, -0.770082836993347900f, 0.637353069898259130f, - -0.770571907281380700f, - 0.636761861236284200f, -0.771060524261813710f, 0.636170277983712170f, - -0.771548687647206300f, - 0.635578320488556230f, -0.772036397150384410f, 0.634985989099049460f, - -0.772523652484441330f, - 0.634393284163645490f, -0.773010453362736990f, 0.633800206031017280f, - -0.773496799498899050f, - 0.633206755050057190f, -0.773982690606822790f, 0.632612931569877520f, - -0.774468126400670860f, - 0.632018735939809060f, -0.774953106594873820f, 0.631424168509401860f, - -0.775437630904130430f, - 0.630829229628424470f, -0.775921699043407580f, 0.630233919646864480f, - -0.776405310727940390f, - 0.629638238914927100f, -0.776888465673232440f, 0.629042187783036000f, - -0.777371163595056200f, - 0.628445766601832710f, -0.777853404209453040f, 0.627848975722176570f, - -0.778335187232733090f, - 0.627251815495144190f, -0.778816512381475870f, 0.626654286272029460f, - -0.779297379372530300f, - 0.626056388404343520f, -0.779777787923014440f, 0.625458122243814360f, - -0.780257737750316590f, - 0.624859488142386450f, -0.780737228572094380f, 0.624260486452220650f, - -0.781216260106276090f, - 0.623661117525694640f, -0.781694832071059390f, 0.623061381715401370f, - -0.782172944184912900f, - 0.622461279374150080f, -0.782650596166575730f, 0.621860810854965360f, - -0.783127787735057310f, - 0.621259976511087660f, -0.783604518609638200f, 0.620658776695972140f, - -0.784080788509869950f, - 0.620057211763289210f, -0.784556597155575240f, 0.619455282066924020f, - -0.785031944266848080f, - 0.618852987960976320f, -0.785506829564053930f, 0.618250329799760250f, - -0.785981252767830150f, - 0.617647307937803980f, -0.786455213599085770f, 0.617043922729849760f, - -0.786928711779001700f, - 0.616440174530853650f, -0.787401747029031320f, 0.615836063695985090f, - -0.787874319070900110f, - 0.615231590580626820f, -0.788346427626606230f, 0.614626755540375050f, - -0.788818072418420170f, - 0.614021558931038490f, -0.789289253168885650f, 0.613416001108638590f, - -0.789759969600819070f, - 0.612810082429409710f, -0.790230221437310030f, 0.612203803249798060f, - -0.790700008401721610f, - 0.611597163926462020f, -0.791169330217690090f, 0.610990164816271770f, - -0.791638186609125770f, - 0.610382806276309480f, -0.792106577300212390f, 0.609775088663868430f, - -0.792574502015407580f, - 0.609167012336453210f, -0.793041960479443640f, 0.608558577651779450f, - -0.793508952417326660f, - 0.607949784967773740f, -0.793975477554337170f, 0.607340634642572930f, - -0.794441535616030590f, - 0.606731127034524480f, -0.794907126328237010f, 0.606121262502186230f, - -0.795372249417061190f, - 0.605511041404325550f, -0.795836904608883460f, 0.604900464099919930f, - -0.796301091630359110f, - 0.604289530948156070f, -0.796764810208418720f, 0.603678242308430370f, - -0.797228060070268700f, - 0.603066598540348280f, -0.797690840943391040f, 0.602454600003723860f, - -0.798153152555543750f, - 0.601842247058580030f, -0.798614994634760820f, 0.601229540065148620f, - -0.799076366909352350f, - 0.600616479383868970f, -0.799537269107905010f, 0.600003065375389060f, - -0.799997700959281910f, - 0.599389298400564540f, -0.800457662192622710f, 0.598775178820458720f, - -0.800917152537344300f, - 0.598160706996342380f, -0.801376171723140130f, 0.597545883289693270f, - -0.801834719479981310f, - 0.596930708062196500f, -0.802292795538115720f, 0.596315181675743820f, - -0.802750399628069160f, - 0.595699304492433470f, -0.803207531480644830f, 0.595083076874569960f, - -0.803664190826924090f, - 0.594466499184664540f, -0.804120377398265700f, 0.593849571785433630f, - -0.804576090926307000f, - 0.593232295039799800f, -0.805031331142963660f, 0.592614669310891130f, - -0.805486097780429120f, - 0.591996694962040990f, -0.805940390571176280f, 0.591378372356787580f, - -0.806394209247956240f, - 0.590759701858874280f, -0.806847553543799220f, 0.590140683832248940f, - -0.807300423192014450f, - 0.589521318641063940f, -0.807752817926190360f, 0.588901606649675840f, - -0.808204737480194720f, - 0.588281548222645330f, -0.808656181588174980f, 0.587661143724736770f, - -0.809107149984558130f, - 0.587040393520918080f, -0.809557642404051260f, 0.586419297976360500f, - -0.810007658581641140f, - 0.585797857456438860f, -0.810457198252594770f, 0.585176072326730410f, - -0.810906261152459670f, - 0.584553942953015330f, -0.811354847017063730f, 0.583931469701276300f, - -0.811802955582515360f, - 0.583308652937698290f, -0.812250586585203880f, 0.582685493028668460f, - -0.812697739761799490f, - 0.582061990340775550f, -0.813144414849253590f, 0.581438145240810280f, - -0.813590611584798510f, - 0.580813958095764530f, -0.814036329705948300f, 0.580189429272831680f, - -0.814481568950498610f, - 0.579564559139405740f, -0.814926329056526620f, 0.578939348063081890f, - -0.815370609762391290f, - 0.578313796411655590f, -0.815814410806733780f, 0.577687904553122800f, - -0.816257731928477390f, - 0.577061672855679550f, -0.816700572866827850f, 0.576435101687721830f, - -0.817142933361272970f, - 0.575808191417845340f, -0.817584813151583710f, 0.575180942414845190f, - -0.818026211977813440f, - 0.574553355047715760f, -0.818467129580298660f, 0.573925429685650750f, - -0.818907565699658950f, - 0.573297166698042320f, -0.819347520076796900f, 0.572668566454481160f, - -0.819786992452898990f, - 0.572039629324757050f, -0.820225982569434690f, 0.571410355678857340f, - -0.820664490168157460f, - 0.570780745886967370f, -0.821102514991104650f, 0.570150800319470300f, - -0.821540056780597610f, - 0.569520519346947250f, -0.821977115279241550f, 0.568889903340175970f, - -0.822413690229926390f, - 0.568258952670131490f, -0.822849781375826320f, 0.567627667707986230f, - -0.823285388460400110f, - 0.566996048825108680f, -0.823720511227391320f, 0.566364096393063950f, - -0.824155149420828570f, - 0.565731810783613230f, -0.824589302785025290f, 0.565099192368714090f, - -0.825022971064580220f, - 0.564466241520519500f, -0.825456154004377440f, 0.563832958611378170f, - -0.825888851349586780f, - 0.563199344013834090f, -0.826321062845663420f, 0.562565398100626560f, - -0.826752788238348520f, - 0.561931121244689470f, -0.827184027273669020f, 0.561296513819151470f, - -0.827614779697938400f, - 0.560661576197336030f, -0.828045045257755800f, 0.560026308752760380f, - -0.828474823700007130f, - 0.559390711859136140f, -0.828904114771864870f, 0.558754785890368310f, - -0.829332918220788250f, - 0.558118531220556100f, -0.829761233794523050f, 0.557481948223991660f, - -0.830189061241102370f, - 0.556845037275160100f, -0.830616400308846200f, 0.556207798748739930f, - -0.831043250746362320f, - 0.555570233019602290f, -0.831469612302545240f, 0.554932340462810370f, - -0.831895484726577590f, - 0.554294121453620110f, -0.832320867767929680f, 0.553655576367479310f, - -0.832745761176359460f, - 0.553016705580027580f, -0.833170164701913190f, 0.552377509467096070f, - -0.833594078094925140f, - 0.551737988404707450f, -0.834017501106018130f, 0.551098142769075430f, - -0.834440433486103190f, - 0.550457972936604810f, -0.834862874986380010f, 0.549817479283891020f, - -0.835284825358337370f, - 0.549176662187719770f, -0.835706284353752600f, 0.548535522025067390f, - -0.836127251724692160f, - 0.547894059173100190f, -0.836547727223511890f, 0.547252274009174090f, - -0.836967710602857020f, - 0.546610166910834860f, -0.837387201615661940f, 0.545967738255817680f, - -0.837806200015150940f, - 0.545324988422046460f, -0.838224705554837970f, 0.544681917787634530f, - -0.838642717988527300f, - 0.544038526730883930f, -0.839060237070312630f, 0.543394815630284800f, - -0.839477262554578550f, - 0.542750784864516000f, -0.839893794195999410f, 0.542106434812444030f, - -0.840309831749540770f, - 0.541461765853123560f, -0.840725374970458070f, 0.540816778365796670f, - -0.841140423614298080f, - 0.540171472729892970f, -0.841554977436898330f, 0.539525849325029010f, - -0.841969036194387680f, - 0.538879908531008420f, -0.842382599643185960f, 0.538233650727821700f, - -0.842795667540004120f, - 0.537587076295645510f, -0.843208239641845440f, 0.536940185614843020f, - -0.843620315706004040f, - 0.536292979065963180f, -0.844031895490066410f, 0.535645457029741090f, - -0.844442978751910660f, - 0.534997619887097260f, -0.844853565249707010f, 0.534349468019137520f, - -0.845263654741918220f, - 0.533701001807152960f, -0.845673246987299070f, 0.533052221632619670f, - -0.846082341744896940f, - 0.532403127877198010f, -0.846490938774052020f, 0.531753720922733320f, - -0.846899037834397350f, - 0.531104001151255000f, -0.847306638685858320f, 0.530453968944976320f, - -0.847713741088654270f, - 0.529803624686294830f, -0.848120344803297120f, 0.529152968757790720f, - -0.848526449590592650f, - 0.528502001542228480f, -0.848932055211639610f, 0.527850723422555460f, - -0.849337161427830670f, - 0.527199134781901390f, -0.849741768000852440f, 0.526547236003579330f, - -0.850145874692685210f, - 0.525895027471084740f, -0.850549481265603370f, 0.525242509568094710f, - -0.850952587482175730f, - 0.524589682678468840f, -0.851355193105265200f, 0.523936547186248600f, - -0.851757297898029120f, - 0.523283103475656430f, -0.852158901623919830f, 0.522629351931096720f, - -0.852560004046683970f, - 0.521975292937154390f, -0.852960604930363630f, 0.521320926878595550f, - -0.853360704039295430f, - 0.520666254140367270f, -0.853760301138111300f, 0.520011275107596040f, - -0.854159395991738730f, - 0.519355990165589530f, -0.854557988365400530f, 0.518700399699835170f, - -0.854956078024614820f, - 0.518044504095999340f, -0.855353664735196030f, 0.517388303739929060f, - -0.855750748263253920f, - 0.516731799017649980f, -0.856147328375194470f, 0.516074990315366630f, - -0.856543404837719960f, - 0.515417878019463150f, -0.856938977417828650f, 0.514760462516501200f, - -0.857334045882815590f, - 0.514102744193221660f, -0.857728610000272120f, 0.513444723436543570f, - -0.858122669538086020f, - 0.512786400633563070f, -0.858516224264442740f, 0.512127776171554690f, - -0.858909273947823900f, - 0.511468850437970520f, -0.859301818357008360f, 0.510809623820439040f, - -0.859693857261072610f, - 0.510150096706766700f, -0.860085390429390140f, 0.509490269484936360f, - -0.860476417631632070f, - 0.508830142543106990f, -0.860866938637767310f, 0.508169716269614710f, - -0.861256953218062060f, - 0.507508991052970870f, -0.861646461143081300f, 0.506847967281863320f, - -0.862035462183687210f, - 0.506186645345155450f, -0.862423956111040500f, 0.505525025631885510f, - -0.862811942696600330f, - 0.504863108531267480f, -0.863199421712124160f, 0.504200894432690560f, - -0.863586392929667990f, - 0.503538383725717580f, -0.863972856121586700f, 0.502875576800086880f, - -0.864358811060534030f, - 0.502212474045710900f, -0.864744257519462380f, 0.501549075852675390f, - -0.865129195271623690f, - 0.500885382611240940f, -0.865513624090568980f, 0.500221394711840680f, - -0.865897543750148820f, - 0.499557112545081890f, -0.866280954024512990f, 0.498892536501744750f, - -0.866663854688111020f, - 0.498227666972781870f, -0.867046245515692650f, 0.497562504349319090f, - -0.867428126282306920f, - 0.496897049022654640f, -0.867809496763303210f, 0.496231301384258310f, - -0.868190356734331310f, - 0.495565261825772490f, -0.868570705971340900f, 0.494898930739011310f, - -0.868950544250582380f, - 0.494232308515959730f, -0.869329871348606730f, 0.493565395548774880f, - -0.869708687042265560f, - 0.492898192229784090f, -0.870086991108711350f, 0.492230698951486080f, - -0.870464783325397670f, - 0.491562916106550060f, -0.870842063470078860f, 0.490894844087815140f, - -0.871218831320810900f, - 0.490226483288291100f, -0.871595086655951090f, 0.489557834101157550f, - -0.871970829254157700f, - 0.488888896919763230f, -0.872346058894391540f, 0.488219672137626740f, - -0.872720775355914300f, - 0.487550160148436050f, -0.873094978418290090f, 0.486880361346047400f, - -0.873468667861384880f, - 0.486210276124486530f, -0.873841843465366750f, 0.485539904877947020f, - -0.874214505010706300f, - 0.484869248000791120f, -0.874586652278176110f, 0.484198305887549140f, - -0.874958285048851540f, - 0.483527078932918740f, -0.875329403104110780f, 0.482855567531765670f, - -0.875700006225634600f, - 0.482183772079122830f, -0.876070094195406600f, 0.481511692970189920f, - -0.876439666795713610f, - 0.480839330600333900f, -0.876808723809145760f, 0.480166685365088440f, - -0.877177265018595940f, - 0.479493757660153010f, -0.877545290207261240f, 0.478820547881394050f, - -0.877912799158641730f, - 0.478147056424843120f, -0.878279791656541460f, 0.477473283686698060f, - -0.878646267485068130f, - 0.476799230063322250f, -0.879012226428633410f, 0.476124895951243630f, - -0.879377668271953180f, - 0.475450281747155870f, -0.879742592800047410f, 0.474775387847917230f, - -0.880106999798240360f, - 0.474100214650550020f, -0.880470889052160750f, 0.473424762552241530f, - -0.880834260347742040f, - 0.472749031950342900f, -0.881197113471221980f, 0.472073023242368660f, - -0.881559448209143780f, - 0.471396736825997810f, -0.881921264348354940f, 0.470720173099071710f, - -0.882282561676008600f, - 0.470043332459595620f, -0.882643339979562790f, 0.469366215305737630f, - -0.883003599046780720f, - 0.468688822035827960f, -0.883363338665731580f, 0.468011153048359830f, - -0.883722558624789660f, - 0.467333208741988530f, -0.884081258712634990f, 0.466654989515530970f, - -0.884439438718253700f, - 0.465976495767966130f, -0.884797098430937790f, 0.465297727898434650f, - -0.885154237640285110f, - 0.464618686306237820f, -0.885510856136199950f, 0.463939371390838460f, - -0.885866953708892790f, - 0.463259783551860260f, -0.886222530148880640f, 0.462579923189086810f, - -0.886577585246987040f, - 0.461899790702462840f, -0.886932118794342080f, 0.461219386492092430f, - -0.887286130582383150f, - 0.460538710958240010f, -0.887639620402853930f, 0.459857764501329650f, - -0.887992588047805560f, - 0.459176547521944150f, -0.888345033309596240f, 0.458495060420826220f, - -0.888696955980891710f, - 0.457813303598877290f, -0.889048355854664570f, 0.457131277457156980f, - -0.889399232724195520f, - 0.456448982396883860f, -0.889749586383072890f, 0.455766418819434750f, - -0.890099416625192210f, - 0.455083587126343840f, -0.890448723244757880f, 0.454400487719303750f, - -0.890797506036281490f, - 0.453717121000163930f, -0.891145764794583180f, 0.453033487370931580f, - -0.891493499314791380f, - 0.452349587233771000f, -0.891840709392342720f, 0.451665420991002540f, - -0.892187394822982480f, - 0.450980989045103810f, -0.892533555402764690f, 0.450296291798708730f, - -0.892879190928051680f, - 0.449611329654606600f, -0.893224301195515320f, 0.448926103015743260f, - -0.893568886002136020f, - 0.448240612285220000f, -0.893912945145203250f, 0.447554857866293010f, - -0.894256478422316040f, - 0.446868840162374330f, -0.894599485631382580f, 0.446182559577030120f, - -0.894941966570620750f, - 0.445496016513981740f, -0.895283921038557580f, 0.444809211377105000f, - -0.895625348834030000f, - 0.444122144570429260f, -0.895966249756185110f, 0.443434816498138430f, - -0.896306623604479660f, - 0.442747227564570130f, -0.896646470178680150f, 0.442059378174214760f, - -0.896985789278863970f, - 0.441371268731716620f, -0.897324580705418320f, 0.440682899641873020f, - -0.897662844259040750f, - 0.439994271309633260f, -0.898000579740739880f, 0.439305384140100060f, - -0.898337786951834190f, - 0.438616238538527710f, -0.898674465693953820f, 0.437926834910322860f, - -0.899010615769039070f, - 0.437237173661044200f, -0.899346236979341460f, 0.436547255196401250f, - -0.899681329127423930f, - 0.435857079922255470f, -0.900015892016160280f, 0.435166648244619370f, - -0.900349925448735600f, - 0.434475960569655710f, -0.900683429228646860f, 0.433785017303678520f, - -0.901016403159702330f, - 0.433093818853152010f, -0.901348847046022030f, 0.432402365624690140f, - -0.901680760692037730f, - 0.431710658025057370f, -0.902012143902493070f, 0.431018696461167080f, - -0.902342996482444200f, - 0.430326481340082610f, -0.902673318237258830f, 0.429634013069016500f, - -0.903003108972617040f, - 0.428941292055329550f, -0.903332368494511820f, 0.428248318706531910f, - -0.903661096609247980f, - 0.427555093430282200f, -0.903989293123443340f, 0.426861616634386490f, - -0.904316957844028320f, - 0.426167888726799620f, -0.904644090578246240f, 0.425473910115623910f, - -0.904970691133653250f, - 0.424779681209108810f, -0.905296759318118820f, 0.424085202415651670f, - -0.905622294939825160f, - 0.423390474143796100f, -0.905947297807268460f, 0.422695496802232950f, - -0.906271767729257660f, - 0.422000270799799790f, -0.906595704514915330f, 0.421304796545479700f, - -0.906919107973678030f, - 0.420609074448402510f, -0.907241977915295930f, 0.419913104917843730f, - -0.907564314149832520f, - 0.419216888363223960f, -0.907886116487666150f, 0.418520425194109700f, - -0.908207384739488700f, - 0.417823715820212380f, -0.908528118716306120f, 0.417126760651387870f, - -0.908848318229439120f, - 0.416429560097637320f, -0.909167983090522270f, 0.415732114569105420f, - -0.909487113111505430f, - 0.415034424476081630f, -0.909805708104652220f, 0.414336490228999210f, - -0.910123767882541570f, - 0.413638312238434560f, -0.910441292258067140f, 0.412939890915108020f, - -0.910758281044437570f, - 0.412241226669883000f, -0.911074734055176250f, 0.411542319913765280f, - -0.911390651104122320f, - 0.410843171057903910f, -0.911706032005429880f, 0.410143780513590350f, - -0.912020876573568230f, - 0.409444148692257590f, -0.912335184623322750f, 0.408744276005481520f, - -0.912648955969793900f, - 0.408044162864978740f, -0.912962190428398100f, 0.407343809682607970f, - -0.913274887814867760f, - 0.406643216870369140f, -0.913587047945250810f, 0.405942384840402570f, - -0.913898670635911680f, - 0.405241314004989860f, -0.914209755703530690f, 0.404540004776553110f, - -0.914520302965104450f, - 0.403838457567654130f, -0.914830312237946090f, 0.403136672790995240f, - -0.915139783339685260f, - 0.402434650859418540f, -0.915448716088267830f, 0.401732392185905010f, - -0.915757110301956720f, - 0.401029897183575790f, -0.916064965799331610f, 0.400327166265690150f, - -0.916372282399289140f, - 0.399624199845646790f, -0.916679059921042700f, 0.398920998336983020f, - -0.916985298184122890f, - 0.398217562153373620f, -0.917290997008377910f, 0.397513891708632330f, - -0.917596156213972950f, - 0.396809987416710420f, -0.917900775621390390f, 0.396105849691696320f, - -0.918204855051430900f, - 0.395401478947816300f, -0.918508394325212250f, 0.394696875599433670f, - -0.918811393264169940f, - 0.393992040061048100f, -0.919113851690057770f, 0.393286972747296570f, - -0.919415769424946960f, - 0.392581674072951530f, -0.919717146291227360f, 0.391876144452922350f, - -0.920017982111606570f, - 0.391170384302253980f, -0.920318276709110480f, 0.390464394036126650f, - -0.920618029907083860f, - 0.389758174069856410f, -0.920917241529189520f, 0.389051724818894500f, - -0.921215911399408730f, - 0.388345046698826300f, -0.921514039342041900f, 0.387638140125372680f, - -0.921811625181708120f, - 0.386931005514388690f, -0.922108668743345070f, 0.386223643281862980f, - -0.922405169852209880f, - 0.385516053843919020f, -0.922701128333878520f, 0.384808237616812930f, - -0.922996544014246250f, - 0.384100195016935040f, -0.923291416719527640f, 0.383391926460808770f, - -0.923585746276256560f, - 0.382683432365089840f, -0.923879532511286740f, 0.381974713146567220f, - -0.924172775251791200f, - 0.381265769222162490f, -0.924465474325262600f, 0.380556601008928570f, - -0.924757629559513910f, - 0.379847208924051110f, -0.925049240782677580f, 0.379137593384847430f, - -0.925340307823206200f, - 0.378427754808765620f, -0.925630830509872720f, 0.377717693613385810f, - -0.925920808671769960f, - 0.377007410216418310f, -0.926210242138311270f, 0.376296905035704790f, - -0.926499130739230510f, - 0.375586178489217330f, -0.926787474304581750f, 0.374875230995057600f, - -0.927075272664740100f, - 0.374164062971457990f, -0.927362525650401110f, 0.373452674836780410f, - -0.927649233092581180f, - 0.372741067009515810f, -0.927935394822617890f, 0.372029239908284960f, - -0.928221010672169440f, - 0.371317193951837600f, -0.928506080473215480f, 0.370604929559051670f, - -0.928790604058057020f, - 0.369892447148934270f, -0.929074581259315750f, 0.369179747140620070f, - -0.929358011909935500f, - 0.368466829953372320f, -0.929640895843181330f, 0.367753696006582090f, - -0.929923232892639560f, - 0.367040345719767240f, -0.930205022892219070f, 0.366326779512573590f, - -0.930486265676149780f, - 0.365612997804773960f, -0.930766961078983710f, 0.364899001016267380f, - -0.931047108935595170f, - 0.364184789567079840f, -0.931326709081180430f, 0.363470363877363870f, - -0.931605761351257830f, - 0.362755724367397230f, -0.931884265581668150f, 0.362040871457584350f, - -0.932162221608574320f, - 0.361325805568454340f, -0.932439629268462360f, 0.360610527120662270f, - -0.932716488398140250f, - 0.359895036534988280f, -0.932992798834738850f, 0.359179334232336560f, - -0.933268560415712050f, - 0.358463420633736540f, -0.933543772978836170f, 0.357747296160342010f, - -0.933818436362210960f, - 0.357030961233430030f, -0.934092550404258870f, 0.356314416274402360f, - -0.934366114943725900f, - 0.355597661704783960f, -0.934639129819680780f, 0.354880697946222790f, - -0.934911594871516090f, - 0.354163525420490510f, -0.935183509938947500f, 0.353446144549480870f, - -0.935454874862014620f, - 0.352728555755210730f, -0.935725689481080370f, 0.352010759459819240f, - -0.935995953636831300f, - 0.351292756085567150f, -0.936265667170278260f, 0.350574546054837570f, - -0.936534829922755500f, - 0.349856129790135030f, -0.936803441735921560f, 0.349137507714085030f, - -0.937071502451759190f, - 0.348418680249434510f, -0.937339011912574960f, 0.347699647819051490f, - -0.937605969960999990f, - 0.346980410845923680f, -0.937872376439989890f, 0.346260969753160170f, - -0.938138231192824360f, - 0.345541324963989150f, -0.938403534063108060f, 0.344821476901759290f, - -0.938668284894770170f, - 0.344101425989938980f, -0.938932483532064490f, 0.343381172652115100f, - -0.939196129819569900f, - 0.342660717311994380f, -0.939459223602189920f, 0.341940060393402300f, - -0.939721764725153340f, - 0.341219202320282410f, -0.939983753034013940f, 0.340498143516697100f, - -0.940245188374650880f, - 0.339776884406826960f, -0.940506070593268300f, 0.339055425414969640f, - -0.940766399536396070f, - 0.338333766965541290f, -0.941026175050889260f, 0.337611909483074680f, - -0.941285396983928660f, - 0.336889853392220050f, -0.941544065183020810f, 0.336167599117744690f, - -0.941802179495997650f, - 0.335445147084531660f, -0.942059739771017310f, 0.334722497717581220f, - -0.942316745856563780f, - 0.333999651442009490f, -0.942573197601446870f, 0.333276608683047980f, - -0.942829094854802710f, - 0.332553369866044220f, -0.943084437466093490f, 0.331829935416461220f, - -0.943339225285107720f, - 0.331106305759876430f, -0.943593458161960390f, 0.330382481321982950f, - -0.943847135947092690f, - 0.329658462528587550f, -0.944100258491272660f, 0.328934249805612200f, - -0.944352825645594750f, - 0.328209843579092660f, -0.944604837261480260f, 0.327485244275178060f, - -0.944856293190677210f, - 0.326760452320131790f, -0.945107193285260610f, 0.326035468140330350f, - -0.945357537397632290f, - 0.325310292162262980f, -0.945607325380521280f, 0.324584924812532150f, - -0.945856557086983910f, - 0.323859366517852960f, -0.946105232370403340f, 0.323133617705052330f, - -0.946353351084490590f, - 0.322407678801070020f, -0.946600913083283530f, 0.321681550232956640f, - -0.946847918221148000f, - 0.320955232427875210f, -0.947094366352777220f, 0.320228725813100020f, - -0.947340257333191940f, - 0.319502030816015750f, -0.947585591017741090f, 0.318775147864118480f, - -0.947830367262101010f, - 0.318048077385015060f, -0.948074585922276230f, 0.317320819806421790f, - -0.948318246854599090f, - 0.316593375556165850f, -0.948561349915730270f, 0.315865745062184070f, - -0.948803894962658380f, - 0.315137928752522440f, -0.949045881852700560f, 0.314409927055336820f, - -0.949287310443502010f, - 0.313681740398891570f, -0.949528180593036670f, 0.312953369211560200f, - -0.949768492159606680f, - 0.312224813921825050f, -0.950008245001843000f, 0.311496074958275970f, - -0.950247438978705230f, - 0.310767152749611470f, -0.950486073949481700f, 0.310038047724638000f, - -0.950724149773789610f, - 0.309308760312268780f, -0.950961666311575080f, 0.308579290941525030f, - -0.951198623423113230f, - 0.307849640041534980f, -0.951435020969008340f, 0.307119808041533100f, - -0.951670858810193860f, - 0.306389795370861080f, -0.951906136807932230f, 0.305659602458966230f, - -0.952140854823815830f, - 0.304929229735402430f, -0.952375012719765880f, 0.304198677629829270f, - -0.952608610358033240f, - 0.303467946572011370f, -0.952841647601198720f, 0.302737036991819140f, - -0.953074124312172200f, - 0.302005949319228200f, -0.953306040354193750f, 0.301274683984318000f, - -0.953537395590833280f, - 0.300543241417273400f, -0.953768189885990330f, 0.299811622048383460f, - -0.953998423103894490f, - 0.299079826308040480f, -0.954228095109105670f, 0.298347854626741570f, - -0.954457205766513490f, - 0.297615707435086310f, -0.954685754941338340f, 0.296883385163778270f, - -0.954913742499130520f, - 0.296150888243623960f, -0.955141168305770670f, 0.295418217105532070f, - -0.955368032227470240f, - 0.294685372180514330f, -0.955594334130771110f, 0.293952353899684770f, - -0.955820073882545420f, - 0.293219162694258680f, -0.956045251349996410f, 0.292485798995553830f, - -0.956269866400658140f, - 0.291752263234989370f, -0.956493918902394990f, 0.291018555844085090f, - -0.956717408723403050f, - 0.290284677254462330f, -0.956940335732208940f, 0.289550627897843140f, - -0.957162699797670100f, - 0.288816408206049480f, -0.957384500788975860f, 0.288082018611004300f, - -0.957605738575646240f, - 0.287347459544729570f, -0.957826413027532910f, 0.286612731439347790f, - -0.958046524014818600f, - 0.285877834727080730f, -0.958266071408017670f, 0.285142769840248720f, - -0.958485055077976100f, - 0.284407537211271820f, -0.958703474895871600f, 0.283672137272668550f, - -0.958921330733213060f, - 0.282936570457055390f, -0.959138622461841890f, 0.282200837197147500f, - -0.959355349953930790f, - 0.281464937925758050f, -0.959571513081984520f, 0.280728873075797190f, - -0.959787111718839900f, - 0.279992643080273380f, -0.960002145737665850f, 0.279256248372291240f, - -0.960216615011963430f, - 0.278519689385053060f, -0.960430519415565790f, 0.277782966551857800f, - -0.960643858822638470f, - 0.277046080306099950f, -0.960856633107679660f, 0.276309031081271030f, - -0.961068842145519350f, - 0.275571819310958250f, -0.961280485811320640f, 0.274834445428843940f, - -0.961491563980579000f, - 0.274096909868706330f, -0.961702076529122540f, 0.273359213064418790f, - -0.961912023333112100f, - 0.272621355449948980f, -0.962121404269041580f, 0.271883337459359890f, - -0.962330219213737400f, - 0.271145159526808070f, -0.962538468044359160f, 0.270406822086544820f, - -0.962746150638399410f, - 0.269668325572915200f, -0.962953266873683880f, 0.268929670420357310f, - -0.963159816628371360f, - 0.268190857063403180f, -0.963365799780954050f, 0.267451885936677740f, - -0.963571216210257210f, - 0.266712757474898420f, -0.963776065795439840f, 0.265973472112875530f, - -0.963980348415994110f, - 0.265234030285511900f, -0.964184063951745720f, 0.264494432427801630f, - -0.964387212282854290f, - 0.263754678974831510f, -0.964589793289812650f, 0.263014770361779060f, - -0.964791806853447900f, - 0.262274707023913590f, -0.964993252854920320f, 0.261534489396595630f, - -0.965194131175724720f, - 0.260794117915275570f, -0.965394441697689400f, 0.260053593015495130f, - -0.965594184302976830f, - 0.259312915132886350f, -0.965793358874083570f, 0.258572084703170390f, - -0.965991965293840570f, - 0.257831102162158930f, -0.966190003445412620f, 0.257089967945753230f, - -0.966387473212298790f, - 0.256348682489942910f, -0.966584374478333120f, 0.255607246230807550f, - -0.966780707127683270f, - 0.254865659604514630f, -0.966976471044852070f, 0.254123923047320620f, - -0.967171666114676640f, - 0.253382036995570270f, -0.967366292222328510f, 0.252640001885695580f, - -0.967560349253314360f, - 0.251897818154216910f, -0.967753837093475510f, 0.251155486237742030f, - -0.967946755628987800f, - 0.250413006572965280f, -0.968139104746362330f, 0.249670379596668520f, - -0.968330884332445300f, - 0.248927605745720260f, -0.968522094274417270f, 0.248184685457074780f, - -0.968712734459794780f, - 0.247441619167773440f, -0.968902804776428870f, 0.246698407314942500f, - -0.969092305112506100f, - 0.245955050335794590f, -0.969281235356548530f, 0.245211548667627680f, - -0.969469595397412950f, - 0.244467902747824210f, -0.969657385124292450f, 0.243724113013852130f, - -0.969844604426714830f, - 0.242980179903263980f, -0.970031253194543970f, 0.242236103853696070f, - -0.970217331317979160f, - 0.241491885302869300f, -0.970402838687555500f, 0.240747524688588540f, - -0.970587775194143630f, - 0.240003022448741500f, -0.970772140728950350f, 0.239258379021300120f, - -0.970955935183517970f, - 0.238513594844318500f, -0.971139158449725090f, 0.237768670355934210f, - -0.971321810419786160f, - 0.237023605994367340f, -0.971503890986251780f, 0.236278402197919620f, - -0.971685400042008540f, - 0.235533059404975460f, -0.971866337480279400f, 0.234787578054001080f, - -0.972046703194623500f, - 0.234041958583543460f, -0.972226497078936270f, 0.233296201432231560f, - -0.972405719027449770f, - 0.232550307038775330f, -0.972584368934732210f, 0.231804275841964780f, - -0.972762446695688570f, - 0.231058108280671280f, -0.972939952205560070f, 0.230311804793845530f, - -0.973116885359925130f, - 0.229565365820518870f, -0.973293246054698250f, 0.228818791799802360f, - -0.973469034186130950f, - 0.228072083170885790f, -0.973644249650811870f, 0.227325240373038830f, - -0.973818892345666100f, - 0.226578263845610110f, -0.973992962167955830f, 0.225831154028026200f, - -0.974166459015280320f, - 0.225083911359792780f, -0.974339382785575860f, 0.224336536280493690f, - -0.974511733377115720f, - 0.223589029229790020f, -0.974683510688510670f, 0.222841390647421280f, - -0.974854714618708430f, - 0.222093620973203590f, -0.975025345066994120f, 0.221345720647030810f, - -0.975195401932990370f, - 0.220597690108873650f, -0.975364885116656870f, 0.219849529798778750f, - -0.975533794518291360f, - 0.219101240156869770f, -0.975702130038528570f, 0.218352821623346430f, - -0.975869891578341030f, - 0.217604274638483670f, -0.976037079039039020f, 0.216855599642632570f, - -0.976203692322270560f, - 0.216106797076219600f, -0.976369731330021140f, 0.215357867379745550f, - -0.976535195964614470f, - 0.214608810993786920f, -0.976700086128711840f, 0.213859628358993830f, - -0.976864401725312640f, - 0.213110319916091360f, -0.977028142657754390f, 0.212360886105878580f, - -0.977191308829712280f, - 0.211611327369227610f, -0.977353900145199960f, 0.210861644147084830f, - -0.977515916508569280f, - 0.210111836880469720f, -0.977677357824509930f, 0.209361906010474190f, - -0.977838223998050430f, - 0.208611851978263460f, -0.977998514934557140f, 0.207861675225075150f, - -0.978158230539735050f, - 0.207111376192218560f, -0.978317370719627650f, 0.206360955321075680f, - -0.978475935380616830f, - 0.205610413053099320f, -0.978633924429423100f, 0.204859749829814420f, - -0.978791337773105670f, - 0.204108966092817010f, -0.978948175319062200f, 0.203358062283773370f, - -0.979104436975029250f, - 0.202607038844421110f, -0.979260122649082020f, 0.201855896216568160f, - -0.979415232249634780f, - 0.201104634842091960f, -0.979569765685440520f, 0.200353255162940420f, - -0.979723722865591170f, - 0.199601757621131050f, -0.979877103699517640f, 0.198850142658750120f, - -0.980029908096989980f, - 0.198098410717953730f, -0.980182135968117320f, 0.197346562240966000f, - -0.980333787223347960f, - 0.196594597670080220f, -0.980484861773469380f, 0.195842517447657990f, - -0.980635359529608120f, - 0.195090322016128330f, -0.980785280403230430f, 0.194338011817988600f, - -0.980934624306141640f, - 0.193585587295803750f, -0.981083391150486590f, 0.192833048892205290f, - -0.981231580848749730f, - 0.192080397049892380f, -0.981379193313754560f, 0.191327632211630990f, - -0.981526228458664660f, - 0.190574754820252800f, -0.981672686196983110f, 0.189821765318656580f, - -0.981818566442552500f, - 0.189068664149806280f, -0.981963869109555240f, 0.188315451756732120f, - -0.982108594112513610f, - 0.187562128582529740f, -0.982252741366289370f, 0.186808695070359330f, - -0.982396310786084690f, - 0.186055151663446630f, -0.982539302287441240f, 0.185301498805082040f, - -0.982681715786240860f, - 0.184547736938619640f, -0.982823551198705240f, 0.183793866507478390f, - -0.982964808441396440f, - 0.183039887955141060f, -0.983105487431216290f, 0.182285801725153320f, - -0.983245588085407070f, - 0.181531608261125130f, -0.983385110321551180f, 0.180777308006728670f, - -0.983524054057571260f, - 0.180022901405699510f, -0.983662419211730250f, 0.179268388901835880f, - -0.983800205702631490f, - 0.178513770938997590f, -0.983937413449218920f, 0.177759047961107140f, - -0.984074042370776450f, - 0.177004220412148860f, -0.984210092386929030f, 0.176249288736167940f, - -0.984345563417641900f, - 0.175494253377271400f, -0.984480455383220930f, 0.174739114779627310f, - -0.984614768204312600f, - 0.173983873387463850f, -0.984748501801904210f, 0.173228529645070490f, - -0.984881656097323700f, - 0.172473083996796030f, -0.985014231012239840f, 0.171717536887049970f, - -0.985146226468662230f, - 0.170961888760301360f, -0.985277642388941220f, 0.170206140061078120f, - -0.985408478695768420f, - 0.169450291233967930f, -0.985538735312176060f, 0.168694342723617440f, - -0.985668412161537550f, - 0.167938294974731230f, -0.985797509167567370f, 0.167182148432072880f, - -0.985926026254321130f, - 0.166425903540464220f, -0.986053963346195440f, 0.165669560744784140f, - -0.986181320367928270f, - 0.164913120489970090f, -0.986308097244598670f, 0.164156583221015890f, - -0.986434293901627070f, - 0.163399949382973230f, -0.986559910264775410f, 0.162643219420950450f, - -0.986684946260146690f, - 0.161886393780111910f, -0.986809401814185420f, 0.161129472905678780f, - -0.986933276853677710f, - 0.160372457242928400f, -0.987056571305750970f, 0.159615347237193090f, - -0.987179285097874340f, - 0.158858143333861390f, -0.987301418157858430f, 0.158100845978377090f, - -0.987422970413855410f, - 0.157343455616238280f, -0.987543941794359230f, 0.156585972692998590f, - -0.987664332228205710f, - 0.155828397654265320f, -0.987784141644572180f, 0.155070730945700510f, - -0.987903369972977790f, - 0.154312973013020240f, -0.988022017143283530f, 0.153555124301993500f, - -0.988140083085692570f, - 0.152797185258443410f, -0.988257567730749460f, 0.152039156328246160f, - -0.988374471009341280f, - 0.151281037957330250f, -0.988490792852696590f, 0.150522830591677370f, - -0.988606533192386450f, - 0.149764534677321620f, -0.988721691960323780f, 0.149006150660348470f, - -0.988836269088763540f, - 0.148247678986896200f, -0.988950264510302990f, 0.147489120103153680f, - -0.989063678157881540f, - 0.146730474455361750f, -0.989176509964781010f, 0.145971742489812370f, - -0.989288759864625170f, - 0.145212924652847520f, -0.989400427791380380f, 0.144454021390860440f, - -0.989511513679355190f, - 0.143695033150294580f, -0.989622017463200780f, 0.142935960377642700f, - -0.989731939077910570f, - 0.142176803519448000f, -0.989841278458820530f, 0.141417563022303130f, - -0.989950035541608990f, - 0.140658239332849240f, -0.990058210262297120f, 0.139898832897777380f, - -0.990165802557248400f, - 0.139139344163826280f, -0.990272812363169110f, 0.138379773577783890f, - -0.990379239617108160f, - 0.137620121586486180f, -0.990485084256456980f, 0.136860388636816430f, - -0.990590346218950150f, - 0.136100575175706200f, -0.990695025442664630f, 0.135340681650134330f, - -0.990799121866020370f, - 0.134580708507126220f, -0.990902635427780010f, 0.133820656193754690f, - -0.991005566067049370f, - 0.133060525157139180f, -0.991107913723276780f, 0.132300315844444680f, - -0.991209678336254060f, - 0.131540028702883280f, -0.991310859846115440f, 0.130779664179711790f, - -0.991411458193338540f, - 0.130019222722233350f, -0.991511473318743900f, 0.129258704777796270f, - -0.991610905163495370f, - 0.128498110793793220f, -0.991709753669099530f, 0.127737441217662280f, - -0.991808018777406430f, - 0.126976696496885980f, -0.991905700430609330f, 0.126215877078990400f, - -0.992002798571244520f, - 0.125454983411546210f, -0.992099313142191800f, 0.124694015942167770f, - -0.992195244086673920f, - 0.123932975118512200f, -0.992290591348257370f, 0.123171861388280650f, - -0.992385354870851670f, - 0.122410675199216280f, -0.992479534598709970f, 0.121649416999105540f, - -0.992573130476428810f, - 0.120888087235777220f, -0.992666142448948020f, 0.120126686357101580f, - -0.992758570461551140f, - 0.119365214810991350f, -0.992850414459865100f, 0.118603673045400840f, - -0.992941674389860470f, - 0.117842061508325020f, -0.993032350197851410f, 0.117080380647800550f, - -0.993122441830495580f, - 0.116318630911904880f, -0.993211949234794500f, 0.115556812748755290f, - -0.993300872358093280f, - 0.114794926606510250f, -0.993389211148080650f, 0.114032972933367300f, - -0.993476965552789190f, - 0.113270952177564360f, -0.993564135520595300f, 0.112508864787378830f, - -0.993650721000219120f, - 0.111746711211126660f, -0.993736721940724600f, 0.110984491897163380f, - -0.993822138291519660f, - 0.110222207293883180f, -0.993906970002356060f, 0.109459857849718030f, - -0.993991217023329380f, - 0.108697444013138670f, -0.994074879304879370f, 0.107934966232653760f, - -0.994157956797789730f, - 0.107172424956808870f, -0.994240449453187900f, 0.106409820634187840f, - -0.994322357222545810f, - 0.105647153713410700f, -0.994403680057679100f, 0.104884424643134970f, - -0.994484417910747600f, - 0.104121633872054730f, -0.994564570734255420f, 0.103358781848899700f, - -0.994644138481050710f, - 0.102595869022436280f, -0.994723121104325700f, 0.101832895841466670f, - -0.994801518557617110f, - 0.101069862754827880f, -0.994879330794805620f, 0.100306770211392820f, - -0.994956557770116380f, - 0.099543618660069444f, -0.995033199438118630f, 0.098780408549799664f, - -0.995109255753726110f, - 0.098017140329560770f, -0.995184726672196820f, 0.097253814448363354f, - -0.995259612149133390f, - 0.096490431355252607f, -0.995333912140482280f, 0.095726991499307315f, - -0.995407626602534900f, - 0.094963495329639061f, -0.995480755491926940f, 0.094199943295393190f, - -0.995553298765638470f, - 0.093436335845747912f, -0.995625256380994310f, 0.092672673429913366f, - -0.995696628295663520f, - 0.091908956497132696f, -0.995767414467659820f, 0.091145185496681130f, - -0.995837614855341610f, - 0.090381360877865011f, -0.995907229417411720f, 0.089617483090022917f, - -0.995976258112917790f, - 0.088853552582524684f, -0.996044700901251970f, 0.088089569804770507f, - -0.996112557742151130f, - 0.087325535206192226f, -0.996179828595696870f, 0.086561449236251239f, - -0.996246513422315520f, - 0.085797312344439880f, -0.996312612182778000f, 0.085033124980280414f, - -0.996378124838200210f, - 0.084268887593324127f, -0.996443051350042630f, 0.083504600633152404f, - -0.996507391680110820f, - 0.082740264549375803f, -0.996571145790554840f, 0.081975879791633108f, - -0.996634313643869900f, - 0.081211446809592386f, -0.996696895202896060f, 0.080446966052950097f, - -0.996758890430818000f, - 0.079682437971430126f, -0.996820299291165670f, 0.078917863014785095f, - -0.996881121747813850f, - 0.078153241632794315f, -0.996941357764982160f, 0.077388574275265049f, - -0.997001007307235290f, - 0.076623861392031617f, -0.997060070339482960f, 0.075859103432954503f, - -0.997118546826979980f, - 0.075094300847921291f, -0.997176436735326190f, 0.074329454086845867f, - -0.997233740030466160f, - 0.073564563599667454f, -0.997290456678690210f, 0.072799629836351618f, - -0.997346586646633230f, - 0.072034653246889416f, -0.997402129901275300f, 0.071269634281296415f, - -0.997457086409941910f, - 0.070504573389614009f, -0.997511456140303450f, 0.069739471021907376f, - -0.997565239060375750f, - 0.068974327628266732f, -0.997618435138519550f, 0.068209143658806454f, - -0.997671044343441000f, - 0.067443919563664106f, -0.997723066644191640f, 0.066678655793001543f, - -0.997774502010167820f, - 0.065913352797003930f, -0.997825350411111640f, 0.065148011025878860f, - -0.997875611817110150f, - 0.064382630929857410f, -0.997925286198596000f, 0.063617212959193190f, - -0.997974373526346990f, - 0.062851757564161420f, -0.998022873771486240f, 0.062086265195060247f, - -0.998070786905482340f, - 0.061320736302208648f, -0.998118112900149180f, 0.060555171335947781f, - -0.998164851727646240f, - 0.059789570746640007f, -0.998211003360478190f, 0.059023934984667986f, - -0.998256567771495180f, - 0.058258264500435732f, -0.998301544933892890f, 0.057492559744367684f, - -0.998345934821212370f, - 0.056726821166907783f, -0.998389737407340160f, 0.055961049218520520f, - -0.998432952666508440f, - 0.055195244349690031f, -0.998475580573294770f, 0.054429407010919147f, - -0.998517621102622210f, - 0.053663537652730679f, -0.998559074229759310f, 0.052897636725665401f, - -0.998599939930320370f, - 0.052131704680283317f, -0.998640218180265270f, 0.051365741967162731f, - -0.998679908955899090f, - 0.050599749036899337f, -0.998719012233872940f, 0.049833726340107257f, - -0.998757527991183340f, - 0.049067674327418126f, -0.998795456205172410f, 0.048301593449480172f, - -0.998832796853527990f, - 0.047535484156959261f, -0.998869549914283560f, 0.046769346900537960f, - -0.998905715365818290f, - 0.046003182130914644f, -0.998941293186856870f, 0.045236990298804750f, - -0.998976283356469820f, - 0.044470771854938744f, -0.999010685854073380f, 0.043704527250063421f, - -0.999044500659429290f, - 0.042938256934940959f, -0.999077727752645360f, 0.042171961360348002f, - -0.999110367114174890f, - 0.041405640977076712f, -0.999142418724816910f, 0.040639296235933854f, - -0.999173882565716380f, - 0.039872927587739845f, -0.999204758618363890f, 0.039106535483329839f, - -0.999235046864595850f, - 0.038340120373552791f, -0.999264747286594420f, 0.037573682709270514f, - -0.999293859866887790f, - 0.036807222941358991f, -0.999322384588349540f, 0.036040741520706299f, - -0.999350321434199440f, - 0.035274238898213947f, -0.999377670388002850f, 0.034507715524795889f, - -0.999404431433671300f, - 0.033741171851377642f, -0.999430604555461730f, 0.032974608328897315f, - -0.999456189737977340f, - 0.032208025408304704f, -0.999481186966166950f, 0.031441423540560343f, - -0.999505596225325310f, - 0.030674803176636581f, -0.999529417501093140f, 0.029908164767516655f, - -0.999552650779456990f, - 0.029141508764193740f, -0.999575296046749220f, 0.028374835617672258f, - -0.999597353289648380f, - 0.027608145778965820f, -0.999618822495178640f, 0.026841439699098527f, - -0.999639703650710200f, - 0.026074717829104040f, -0.999659996743959220f, 0.025307980620024630f, - -0.999679701762987930f, - 0.024541228522912264f, -0.999698818696204250f, 0.023774461988827676f, - -0.999717347532362190f, - 0.023007681468839410f, -0.999735288260561680f, 0.022240887414024919f, - -0.999752640870248840f, - 0.021474080275469605f, -0.999769405351215280f, 0.020707260504265912f, - -0.999785581693599210f, - 0.019940428551514598f, -0.999801169887884260f, 0.019173584868322699f, - -0.999816169924900410f, - 0.018406729905804820f, -0.999830581795823400f, 0.017639864115082195f, - -0.999844405492175240f, - 0.016872987947281773f, -0.999857641005823860f, 0.016106101853537263f, - -0.999870288328982950f, - 0.015339206284988220f, -0.999882347454212560f, 0.014572301692779104f, - -0.999893818374418490f, - 0.013805388528060349f, -0.999904701082852900f, 0.013038467241987433f, - -0.999914995573113470f, - 0.012271538285719944f, -0.999924701839144500f, 0.011504602110422875f, - -0.999933819875236000f, - 0.010737659167264572f, -0.999942349676023910f, 0.009970709907418029f, - -0.999950291236490480f, - 0.009203754782059960f, -0.999957644551963900f, 0.008436794242369860f, - -0.999964409618118280f, - 0.007669828739531077f, -0.999970586430974140f, 0.006902858724729877f, - -0.999976174986897610f, - 0.006135884649154515f, -0.999981175282601110f, 0.005368906963996303f, - -0.999985587315143200f, - 0.004601926120448672f, -0.999989411081928400f, 0.003834942569706248f, - -0.999992646580707190f, - 0.003067956762966138f, -0.999995293809576190f, 0.002300969151425887f, - -0.999997352766978210f, - 0.001533980186284766f, -0.999998823451701880f, 0.000766990318742846f, - -0.999999705862882230f -}; - -static const float32_t Weights_8192[16384] = { - 1.000000000000000000, -0.000000000000000000, 0.999999981616429330, - -0.000191747597310703, - 0.999999926465717890, -0.000383495187571396, 0.999999834547867670, - -0.000575242763732066, - 0.999999705862882230, -0.000766990318742704, 0.999999540410766110, - -0.000958737845553301, - 0.999999338191525530, -0.001150485337113849, 0.999999099205167830, - -0.001342232786374338, - 0.999998823451701880, -0.001533980186284766, 0.999998510931137790, - -0.001725727529795126, - 0.999998161643486980, -0.001917474809855419, 0.999997775588762350, - -0.002109222019415644, - 0.999997352766978210, -0.002300969151425805, 0.999996893178149880, - -0.002492716198835908, - 0.999996396822294350, -0.002684463154595962, 0.999995863699429940, - -0.002876210011655979, - 0.999995293809576190, -0.003067956762965976, 0.999994687152754080, - -0.003259703401475973, - 0.999994043728985820, -0.003451449920135994, 0.999993363538295150, - -0.003643196311896068, - 0.999992646580707190, -0.003834942569706228, 0.999991892856248010, - -0.004026688686516512, - 0.999991102364945590, -0.004218434655276963, 0.999990275106828920, - -0.004410180468937631, - 0.999989411081928400, -0.004601926120448571, 0.999988510290275690, - -0.004793671602759841, - 0.999987572731904080, -0.004985416908821511, 0.999986598406848000, - -0.005177162031583651, - 0.999985587315143200, -0.005368906963996343, 0.999984539456826970, - -0.005560651699009674, - 0.999983454831937730, -0.005752396229573736, 0.999982333440515350, - -0.005944140548638633, - 0.999981175282601110, -0.006135884649154475, 0.999979980358237650, - -0.006327628524071378, - 0.999978748667468830, -0.006519372166339468, 0.999977480210339940, - -0.006711115568908879, - 0.999976174986897610, -0.006902858724729756, 0.999974832997189810, - -0.007094601626752250, - 0.999973454241265940, -0.007286344267926521, 0.999972038719176730, - -0.007478086641202744, - 0.999970586430974140, -0.007669828739531097, 0.999969097376711580, - -0.007861570555861772, - 0.999967571556443780, -0.008053312083144972, 0.999966008970226920, - -0.008245053314330906, - 0.999964409618118280, -0.008436794242369799, 0.999962773500176930, - -0.008628534860211886, - 0.999961100616462820, -0.008820275160807412, 0.999959390967037450, - -0.009012015137106633, - 0.999957644551963900, -0.009203754782059819, 0.999955861371306100, - -0.009395494088617252, - 0.999954041425129780, -0.009587233049729225, 0.999952184713501780, - -0.009778971658346044, - 0.999950291236490480, -0.009970709907418031, 0.999948360994165400, - -0.010162447789895513, - 0.999946393986597460, -0.010354185298728842, 0.999944390213859060, - -0.010545922426868378, - 0.999942349676023910, -0.010737659167264491, 0.999940272373166960, - -0.010929395512867571, - 0.999938158305364590, -0.011121131456628021, 0.999936007472694620, - -0.011312866991496258, - 0.999933819875236000, -0.011504602110422714, 0.999931595513069200, - -0.011696336806357838, - 0.999929334386276070, -0.011888071072252092, 0.999927036494939640, - -0.012079804901055957, - 0.999924701839144500, -0.012271538285719925, 0.999922330418976490, - -0.012463271219194511, - 0.999919922234522750, -0.012655003694430242, 0.999917477285871770, - -0.012846735704377662, - 0.999914995573113470, -0.013038467241987334, 0.999912477096339240, - -0.013230198300209835, - 0.999909921855641540, -0.013421928871995765, 0.999907329851114300, - -0.013613658950295740, - 0.999904701082852900, -0.013805388528060391, 0.999902035550953920, - -0.013997117598240367, - 0.999899333255515390, -0.014188846153786345, 0.999896594196636680, - -0.014380574187649006, - 0.999893818374418490, -0.014572301692779064, 0.999891005788962950, - -0.014764028662127246, - 0.999888156440373320, -0.014955755088644296, 0.999885270328754520, - -0.015147480965280987, - 0.999882347454212560, -0.015339206284988100, 0.999879387816854930, - -0.015530931040716447, - 0.999876391416790410, -0.015722655225416857, 0.999873358254129260, - -0.015914378832040183, - 0.999870288328982950, -0.016106101853537287, 0.999867181641464380, - -0.016297824282859065, - 0.999864038191687680, -0.016489546112956437, 0.999860857979768540, - -0.016681267336780332, - 0.999857641005823860, -0.016872987947281710, 0.999854387269971890, - -0.017064707937411563, - 0.999851096772332190, -0.017256427300120877, 0.999847769513025900, - -0.017448146028360693, - 0.999844405492175240, -0.017639864115082053, 0.999841004709904000, - -0.017831581553236039, - 0.999837567166337090, -0.018023298335773746, 0.999834092861600960, - -0.018215014455646290, - 0.999830581795823400, -0.018406729905804820, 0.999827033969133420, - -0.018598444679200511, - 0.999823449381661570, -0.018790158768784555, 0.999819828033539420, - -0.018981872167508178, - 0.999816169924900410, -0.019173584868322623, 0.999812475055878780, - -0.019365296864179156, - 0.999808743426610520, -0.019557008148029083, 0.999804975037232870, - -0.019748718712823729, - 0.999801169887884260, -0.019940428551514441, 0.999797327978704690, - -0.020132137657052594, - 0.999793449309835270, -0.020323846022389593, 0.999789533881418780, - -0.020515553640476875, - 0.999785581693599210, -0.020707260504265895, 0.999781592746521670, - -0.020898966606708137, - 0.999777567040332940, -0.021090671940755121, 0.999773504575180990, - -0.021282376499358387, - 0.999769405351215280, -0.021474080275469508, 0.999765269368586450, - -0.021665783262040078, - 0.999761096627446610, -0.021857485452021735, 0.999756887127949080, - -0.022049186838366135, - 0.999752640870248840, -0.022240887414024961, 0.999748357854501780, - -0.022432587171949934, - 0.999744038080865430, -0.022624286105092803, 0.999739681549498660, - -0.022815984206405345, - 0.999735288260561680, -0.023007681468839369, 0.999730858214216030, - -0.023199377885346720, - 0.999726391410624470, -0.023391073448879258, 0.999721887849951310, - -0.023582768152388894, - 0.999717347532362190, -0.023774461988827555, 0.999712770458023870, - -0.023966154951147210, - 0.999708156627104880, -0.024157847032299864, 0.999703506039774650, - -0.024349538225237534, - 0.999698818696204250, -0.024541228522912288, 0.999694094596566000, - -0.024732917918276223, - 0.999689333741033640, -0.024924606404281468, 0.999684536129782140, - -0.025116293973880186, - 0.999679701762987930, -0.025307980620024571, 0.999674830640828740, - -0.025499666335666853, - 0.999669922763483760, -0.025691351113759295, 0.999664978131133310, - -0.025883034947254198, - 0.999659996743959220, -0.026074717829103901, 0.999654978602144690, - -0.026266399752260760, - 0.999649923705874240, -0.026458080709677187, 0.999644832055333610, - -0.026649760694305618, - 0.999639703650710200, -0.026841439699098531, 0.999634538492192300, - -0.027033117717008431, - 0.999629336579970110, -0.027224794740987875, 0.999624097914234570, - -0.027416470763989436, - 0.999618822495178640, -0.027608145778965740, 0.999613510322995950, - -0.027799819778869445, - 0.999608161397882110, -0.027991492756653243, 0.999602775720033530, - -0.028183164705269874, - 0.999597353289648380, -0.028374835617672099, 0.999591894106925950, - -0.028566505486812728, - 0.999586398172067070, -0.028758174305644615, 0.999580865485273700, - -0.028949842067120635, - 0.999575296046749220, -0.029141508764193722, 0.999569689856698580, - -0.029333174389816835, - 0.999564046915327740, -0.029524838936942976, 0.999558367222844300, - -0.029716502398525191, - 0.999552650779456990, -0.029908164767516555, 0.999546897585375960, - -0.030099826036870198, - 0.999541107640812940, -0.030291486199539284, 0.999535280945980540, - -0.030483145248477009, - 0.999529417501093140, -0.030674803176636626, 0.999523517306366350, - -0.030866459976971412, - 0.999517580362016990, -0.031058115642434700, 0.999511606668263440, - -0.031249770165979861, - 0.999505596225325310, -0.031441423540560301, 0.999499549033423640, - -0.031633075759129478, - 0.999493465092780590, -0.031824726814640887, 0.999487344403620080, - -0.032016376700048060, - 0.999481186966166950, -0.032208025408304586, 0.999474992780647780, - -0.032399672932364086, - 0.999468761847290050, -0.032591319265180226, 0.999462494166323160, - -0.032782964399706724, - 0.999456189737977340, -0.032974608328897335, 0.999449848562484530, - -0.033166251045705857, - 0.999443470640077770, -0.033357892543086139, 0.999437055970991530, - -0.033549532813992068, - 0.999430604555461730, -0.033741171851377580, 0.999424116393725640, - -0.033932809648196664, - 0.999417591486021720, -0.034124446197403326, 0.999411029832589780, - -0.034316081491951651, - 0.999404431433671300, -0.034507715524795750, 0.999397796289508640, - -0.034699348288889799, - 0.999391124400346050, -0.034890979777188004, 0.999384415766428560, - -0.035082609982644619, - 0.999377670388002850, -0.035274238898213947, 0.999370888265317170, - -0.035465866516850353, - 0.999364069398620550, -0.035657492831508222, 0.999357213788164000, - -0.035849117835142018, - 0.999350321434199440, -0.036040741520706229, 0.999343392336980220, - -0.036232363881155395, - 0.999336426496761240, -0.036423984909444110, 0.999329423913798420, - -0.036615604598527030, - 0.999322384588349540, -0.036807222941358832, 0.999315308520673070, - -0.036998839930894263, - 0.999308195711029470, -0.037190455560088119, 0.999301046159680070, - -0.037382069821895229, - 0.999293859866887790, -0.037573682709270494, 0.999286636832916740, - -0.037765294215168860, - 0.999279377058032710, -0.037956904332545310, 0.999272080542502610, - -0.038148513054354891, - 0.999264747286594420, -0.038340120373552694, 0.999257377290578060, - -0.038531726283093870, - 0.999249970554724420, -0.038723330775933623, 0.999242527079305830, - -0.038914933845027193, - 0.999235046864595850, -0.039106535483329888, 0.999227529910869610, - -0.039298135683797059, - 0.999219976218403530, -0.039489734439384118, 0.999212385787475290, - -0.039681331743046527, - 0.999204758618363890, -0.039872927587739811, 0.999197094711349880, - -0.040064521966419520, - 0.999189394066714920, -0.040256114872041282, 0.999181656684742350, - -0.040447706297560782, - 0.999173882565716380, -0.040639296235933736, 0.999166071709923000, - -0.040830884680115948, - 0.999158224117649430, -0.041022471623063238, 0.999150339789184110, - -0.041214057057731519, - 0.999142418724816910, -0.041405640977076739, 0.999134460924839150, - -0.041597223374054894, - 0.999126466389543390, -0.041788804241622061, 0.999118435119223490, - -0.041980383572734356, - 0.999110367114174890, -0.042171961360347947, 0.999102262374694130, - -0.042363537597419072, - 0.999094120901079070, -0.042555112276904020, 0.999085942693629270, - -0.042746685391759132, - 0.999077727752645360, -0.042938256934940820, 0.999069476078429330, - -0.043129826899405546, - 0.999061187671284600, -0.043321395278109825, 0.999052862531515930, - -0.043512962064010237, - 0.999044500659429290, -0.043704527250063421, 0.999036102055332330, - -0.043896090829226068, - 0.999027666719533690, -0.044087652794454944, 0.999019194652343460, - -0.044279213138706849, - 0.999010685854073380, -0.044470771854938668, 0.999002140325035980, - -0.044662328936107325, - 0.998993558065545680, -0.044853884375169815, 0.998984939075918010, - -0.045045438165083197, - 0.998976283356469820, -0.045236990298804590, 0.998967590907519300, - -0.045428540769291155, - 0.998958861729386080, -0.045620089569500144, 0.998950095822391250, - -0.045811636692388844, - 0.998941293186856870, -0.046003182130914623, 0.998932453823106690, - -0.046194725878034908, - 0.998923577731465780, -0.046386267926707157, 0.998914664912260440, - -0.046577808269888943, - 0.998905715365818290, -0.046769346900537863, 0.998896729092468410, - -0.046960883811611592, - 0.998887706092541290, -0.047152418996067869, 0.998878646366368690, - -0.047343952446864478, - 0.998869549914283560, -0.047535484156959303, 0.998860416736620520, - -0.047727014119310254, - 0.998851246833715180, -0.047918542326875327, 0.998842040205904840, - -0.048110068772612591, - 0.998832796853527990, -0.048301593449480144, 0.998823516776924490, - -0.048493116350436176, - 0.998814199976435390, -0.048684637468438943, 0.998804846452403420, - -0.048876156796446760, - 0.998795456205172410, -0.049067674327418015, 0.998786029235087640, - -0.049259190054311140, - 0.998776565542495610, -0.049450703970084664, 0.998767065127744380, - -0.049642216067697156, - 0.998757527991183340, -0.049833726340107277, 0.998747954133162860, - -0.050025234780273729, - 0.998738343554035230, -0.050216741381155311, 0.998728696254153720, - -0.050408246135710856, - 0.998719012233872940, -0.050599749036899282, 0.998709291493549030, - -0.050791250077679581, - 0.998699534033539280, -0.050982749251010803, 0.998689739854202620, - -0.051174246549852080, - 0.998679908955899090, -0.051365741967162593, 0.998670041338990070, - -0.051557235495901611, - 0.998660137003838490, -0.051748727129028456, 0.998650195950808280, - -0.051940216859502536, - 0.998640218180265270, -0.052131704680283324, 0.998630203692576050, - -0.052323190584330347, - 0.998620152488108870, -0.052514674564603223, 0.998610064567233340, - -0.052706156614061632, - 0.998599939930320370, -0.052897636725665324, 0.998589778577742230, - -0.053089114892374133, - 0.998579580509872500, -0.053280591107147945, 0.998569345727086110, - -0.053472065362946727, - 0.998559074229759310, -0.053663537652730520, 0.998548766018269920, - -0.053855007969459440, - 0.998538421092996730, -0.054046476306093660, 0.998528039454320230, - -0.054237942655593452, - 0.998517621102622210, -0.054429407010919133, 0.998507166038285490, - -0.054620869365031105, - 0.998496674261694640, -0.054812329710889854, 0.998486145773235360, - -0.055003788041455920, - 0.998475580573294770, -0.055195244349689934, 0.998464978662261250, - -0.055386698628552597, - 0.998454340040524800, -0.055578150871004678, 0.998443664708476340, - -0.055769601070007030, - 0.998432952666508440, -0.055961049218520569, 0.998422203915015020, - -0.056152495309506292, - 0.998411418454391300, -0.056343939335925290, 0.998400596285033640, - -0.056535381290738700, - 0.998389737407340160, -0.056726821166907748, 0.998378841821709990, - -0.056918258957393740, - 0.998367909528543820, -0.057109694655158062, 0.998356940528243420, - -0.057301128253162158, - 0.998345934821212370, -0.057492559744367566, 0.998334892407855000, - -0.057683989121735904, - 0.998323813288577560, -0.057875416378228857, 0.998312697463787260, - -0.058066841506808194, - 0.998301544933892890, -0.058258264500435752, 0.998290355699304350, - -0.058449685352073476, - 0.998279129760433200, -0.058641104054683341, 0.998267867117692110, - -0.058832520601227435, - 0.998256567771495180, -0.059023934984667931, 0.998245231722257880, - -0.059215347197967061, - 0.998233858970396850, -0.059406757234087150, 0.998222449516330550, - -0.059598165085990591, - 0.998211003360478190, -0.059789570746639868, 0.998199520503260660, - -0.059980974208997548, - 0.998188000945100300, -0.060172375466026259, 0.998176444686420530, - -0.060363774510688743, - 0.998164851727646240, -0.060555171335947788, 0.998153222069203760, - -0.060746565934766288, - 0.998141555711520520, -0.060937958300107203, 0.998129852655025630, - -0.061129348424933588, - 0.998118112900149180, -0.061320736302208578, 0.998106336447323050, - -0.061512121924895378, - 0.998094523296980010, -0.061703505285957298, 0.998082673449554590, - -0.061894886378357716, - 0.998070786905482340, -0.062086265195060088, 0.998058863665200250, - -0.062277641729027972, - 0.998046903729146840, -0.062469015973224996, 0.998034907097761770, - -0.062660387920614874, - 0.998022873771486240, -0.062851757564161406, 0.998010803750762450, - -0.063043124896828492, - 0.997998697036034390, -0.063234489911580066, 0.997986553627747020, - -0.063425852601380228, - 0.997974373526346990, -0.063617212959193106, 0.997962156732281950, - -0.063808570977982898, - 0.997949903246001190, -0.063999926650713940, 0.997937613067955250, - -0.064191279970350637, - 0.997925286198596000, -0.064382630929857465, 0.997912922638376610, - -0.064573979522198982, - 0.997900522387751620, -0.064765325740339885, 0.997888085447177110, - -0.064956669577244872, - 0.997875611817110150, -0.065148011025878833, 0.997863101498009500, - -0.065339350079206632, - 0.997850554490335110, -0.065530686730193327, 0.997837970794548280, - -0.065722020971803990, - 0.997825350411111640, -0.065913352797003805, 0.997812693340489280, - -0.066104682198758077, - 0.997799999583146470, -0.066296009170032130, 0.997787269139549960, - -0.066487333703791451, - 0.997774502010167820, -0.066678655793001557, 0.997761698195469560, - -0.066869975430628115, - 0.997748857695925690, -0.067061292609636822, 0.997735980512008620, - -0.067252607322993499, - 0.997723066644191640, -0.067443919563664051, 0.997710116092949570, - -0.067635229324614479, - 0.997697128858758500, -0.067826536598810869, 0.997684104942096030, - -0.068017841379219388, - 0.997671044343441000, -0.068209143658806329, 0.997657947063273710, - -0.068400443430538013, - 0.997644813102075420, -0.068591740687380942, 0.997631642460329320, - -0.068783035422301630, - 0.997618435138519550, -0.068974327628266746, 0.997605191137131640, - -0.069165617298242985, - 0.997591910456652630, -0.069356904425197208, 0.997578593097570800, - -0.069548189002096306, - 0.997565239060375750, -0.069739471021907307, 0.997551848345558430, - -0.069930750477597309, - 0.997538420953611340, -0.070122027362133521, 0.997524956885027960, - -0.070313301668483250, - 0.997511456140303450, -0.070504573389613856, 0.997497918719934210, - -0.070695842518492855, - 0.997484344624417930, -0.070887109048087801, 0.997470733854253670, - -0.071078372971366405, - 0.997457086409941910, -0.071269634281296401, 0.997443402291984360, - -0.071460892970845680, - 0.997429681500884180, -0.071652149032982212, 0.997415924037145960, - -0.071843402460674027, - 0.997402129901275300, -0.072034653246889332, 0.997388299093779460, - -0.072225901384596322, - 0.997374431615167150, -0.072417146866763413, 0.997360527465947940, - -0.072608389686358993, - 0.997346586646633230, -0.072799629836351673, 0.997332609157735470, - -0.072990867309710036, - 0.997318594999768600, -0.073182102099402888, 0.997304544173247990, - -0.073373334198399032, - 0.997290456678690210, -0.073564563599667426, 0.997276332516613180, - -0.073755790296177098, - 0.997262171687536170, -0.073947014280897200, 0.997247974191979860, - -0.074138235546796979, - 0.997233740030466280, -0.074329454086845756, 0.997219469203518670, - -0.074520669894013000, - 0.997205161711661850, -0.074711882961268211, 0.997190817555421940, - -0.074903093281581082, - 0.997176436735326190, -0.075094300847921305, 0.997162019251903290, - -0.075285505653258769, - 0.997147565105683480, -0.075476707690563388, 0.997133074297198110, - -0.075667906952805231, - 0.997118546826979980, -0.075859103432954447, 0.997103982695563330, - -0.076050297123981259, - 0.997089381903483400, -0.076241488018856066, 0.997074744451277310, - -0.076432676110549283, - 0.997060070339482960, -0.076623861392031492, 0.997045359568640040, - -0.076815043856273343, - 0.997030612139289450, -0.077006223496245640, 0.997015828051973310, - -0.077197400304919200, - 0.997001007307235290, -0.077388574275265049, 0.996986149905620180, - -0.077579745400254224, - 0.996971255847674320, -0.077770913672857947, 0.996956325133945280, - -0.077962079086047492, - 0.996941357764982160, -0.078153241632794232, 0.996926353741335090, - -0.078344401306069705, - 0.996911313063555740, -0.078535558098845479, 0.996896235732197210, - -0.078726712004093299, - 0.996881121747813850, -0.078917863014784942, 0.996865971110961310, - -0.079109011123892375, - 0.996850783822196610, -0.079300156324387597, 0.996835559882078170, - -0.079491298609242769, - 0.996820299291165670, -0.079682437971430126, 0.996805002050020430, - -0.079873574403921996, - 0.996789668159204560, -0.080064707899690890, 0.996774297619282050, - -0.080255838451709319, - 0.996758890430818000, -0.080446966052950014, 0.996743446594378860, - -0.080638090696385709, - 0.996727966110532490, -0.080829212374989329, 0.996712448979848010, - -0.081020331081733857, - 0.996696895202896060, -0.081211446809592441, 0.996681304780248300, - -0.081402559551538245, - 0.996665677712478160, -0.081593669300544652, 0.996650014000160070, - -0.081784776049585076, - 0.996634313643869900, -0.081975879791633066, 0.996618576644185070, - -0.082166980519662314, - 0.996602803001684130, -0.082358078226646536, 0.996586992716946950, - -0.082549172905559673, - 0.996571145790554840, -0.082740264549375692, 0.996555262223090540, - -0.082931353151068699, - 0.996539342015137940, -0.083122438703612911, 0.996523385167282450, - -0.083313521199982685, - 0.996507391680110820, -0.083504600633152432, 0.996491361554210920, - -0.083695676996096716, - 0.996475294790172160, -0.083886750281790226, 0.996459191388585410, - -0.084077820483207694, - 0.996443051350042630, -0.084268887593324071, 0.996426874675137240, - -0.084459951605114325, - 0.996410661364464100, -0.084651012511553617, 0.996394411418619290, - -0.084842070305617134, - 0.996378124838200210, -0.085033124980280275, 0.996361801623805720, - -0.085224176528518478, - 0.996345441776035900, -0.085415224943307333, 0.996329045295492380, - -0.085606270217622529, - 0.996312612182778000, -0.085797312344439894, 0.996296142438496850, - -0.085988351316735337, - 0.996279636063254650, -0.086179387127484894, 0.996263093057658140, - -0.086370419769664752, - 0.996246513422315520, -0.086561449236251170, 0.996229897157836500, - -0.086752475520220543, - 0.996213244264832040, -0.086943498614549378, 0.996196554743914220, - -0.087134518512214307, - 0.996179828595696980, -0.087325535206192059, 0.996163065820794950, - -0.087516548689459531, - 0.996146266419824620, -0.087707558954993659, 0.996129430393403740, - -0.087898565995771588, - 0.996112557742151130, -0.088089569804770507, 0.996095648466687300, - -0.088280570374967740, - 0.996078702567633980, -0.088471567699340767, 0.996061720045614000, - -0.088662561770867149, - 0.996044700901251970, -0.088853552582524600, 0.996027645135173610, - -0.089044540127290892, - 0.996010552748005870, -0.089235524398144014, 0.995993423740377360, - -0.089426505388061961, - 0.995976258112917790, -0.089617483090022959, 0.995959055866258320, - -0.089808457497005278, - 0.995941817001031350, -0.089999428601987341, 0.995924541517870800, - -0.090190396397947695, - 0.995907229417411720, -0.090381360877864983, 0.995889880700290720, - -0.090572322034717989, - 0.995872495367145730, -0.090763279861485621, 0.995855073418615790, - -0.090954234351146926, - 0.995837614855341610, -0.091145185496681005, 0.995820119677964910, - -0.091336133291067184, - 0.995802587887129160, -0.091527077727284828, 0.995785019483478750, - -0.091718018798313455, - 0.995767414467659820, -0.091908956497132724, 0.995749772840319510, - -0.092099890816722388, - 0.995732094602106430, -0.092290821750062355, 0.995714379753670610, - -0.092481749290132600, - 0.995696628295663520, -0.092672673429913310, 0.995678840228737540, - -0.092863594162384724, - 0.995661015553546910, -0.093054511480527249, 0.995643154270746900, - -0.093245425377321375, - 0.995625256380994310, -0.093436335845747787, 0.995607321884947050, - -0.093627242878787195, - 0.995589350783264600, -0.093818146469420549, 0.995571343076607770, - -0.094009046610628838, - 0.995553298765638470, -0.094199943295393204, 0.995535217851020390, - -0.094390836516694943, - 0.995517100333418110, -0.094581726267515445, 0.995498946213497770, - -0.094772612540836243, - 0.995480755491926940, -0.094963495329638992, 0.995462528169374420, - -0.095154374626905486, - 0.995444264246510340, -0.095345250425617617, 0.995425963724006160, - -0.095536122718757471, - 0.995407626602534900, -0.095726991499307162, 0.995389252882770690, - -0.095917856760249040, - 0.995370842565388990, -0.096108718494565509, 0.995352395651066810, - -0.096299576695239128, - 0.995333912140482280, -0.096490431355252593, 0.995315392034315070, - -0.096681282467588725, - 0.995296835333246090, -0.096872130025230471, 0.995278242037957670, - -0.097062974021160917, - 0.995259612149133390, -0.097253814448363271, 0.995240945667458130, - -0.097444651299820870, - 0.995222242593618360, -0.097635484568517200, 0.995203502928301510, - -0.097826314247435861, - 0.995184726672196930, -0.098017140329560604, 0.995165913825994620, - -0.098207962807875276, - 0.995147064390386470, -0.098398781675363881, 0.995128178366065490, - -0.098589596925010584, - 0.995109255753726110, -0.098780408549799623, 0.995090296554064000, - -0.098971216542715429, - 0.995071300767776170, -0.099162020896742503, 0.995052268395561050, - -0.099352821604865540, - 0.995033199438118630, -0.099543618660069319, 0.995014093896149700, - -0.099734412055338825, - 0.994994951770357020, -0.099925201783659073, 0.994975773061444140, - -0.100115987838015310, - 0.994956557770116380, -0.100306770211392860, 0.994937305897080070, - -0.100497548896777200, - 0.994918017443043200, -0.100688323887153960, 0.994898692408714870, - -0.100879095175508860, - 0.994879330794805620, -0.101069862754827820, 0.994859932602027320, - -0.101260626618096830, - 0.994840497831093180, -0.101451386758302080, 0.994821026482717860, - -0.101642143168429830, - 0.994801518557617110, -0.101832895841466530, 0.994781974056508260, - -0.102023644770398740, - 0.994762392980109930, -0.102214389948213210, 0.994742775329142010, - -0.102405131367896720, - 0.994723121104325700, -0.102595869022436280, 0.994703430306383860, - -0.102786602904819040, - 0.994683702936040250, -0.102977333008032220, 0.994663938994020390, - -0.103168059325063230, - 0.994644138481050710, -0.103358781848899610, 0.994624301397859400, - -0.103549500572529070, - 0.994604427745175660, -0.103740215488939370, 0.994584517523730340, - -0.103930926591118510, - 0.994564570734255420, -0.104121633872054590, 0.994544587377484300, - -0.104312337324735800, - 0.994524567454151740, -0.104503036942150570, 0.994504510964993700, - -0.104693732717287390, - 0.994484417910747600, -0.104884424643134970, 0.994464288292152390, - -0.105075112712682040, - 0.994444122109948040, -0.105265796918917600, 0.994423919364875950, - -0.105456477254830710, - 0.994403680057679100, -0.105647153713410620, 0.994383404189101430, - -0.105837826287646670, - 0.994363091759888570, -0.106028494970528410, 0.994342742770787270, - -0.106219159755045480, - 0.994322357222545810, -0.106409820634187680, 0.994301935115913580, - -0.106600477600944960, - 0.994281476451641550, -0.106791130648307390, 0.994260981230481790, - -0.106981779769265230, - 0.994240449453187900, -0.107172424956808840, 0.994219881120514960, - -0.107363066203928760, - 0.994199276233218910, -0.107553703503615620, 0.994178634792057590, - -0.107744336848860280, - 0.994157956797789730, -0.107934966232653650, 0.994137242251175720, - -0.108125591647986870, - 0.994116491152977070, -0.108316213087851170, 0.994095703503956930, - -0.108506830545237920, - 0.994074879304879370, -0.108697444013138720, 0.994054018556510210, - -0.108888053484545190, - 0.994033121259616400, -0.109078658952449240, 0.994012187414966220, - -0.109269260409842780, - 0.993991217023329380, -0.109459857849717980, 0.993970210085476920, - -0.109650451265067100, - 0.993949166602181130, -0.109841040648882600, 0.993928086574215830, - -0.110031625994157000, - 0.993906970002356060, -0.110222207293883060, 0.993885816887378090, - -0.110412784541053630, - 0.993864627230059750, -0.110603357728661730, 0.993843401031180180, - -0.110793926849700560, - 0.993822138291519660, -0.110984491897163390, 0.993800839011860120, - -0.111175052864043720, - 0.993779503192984580, -0.111365609743335160, 0.993758130835677430, - -0.111556162528031480, - 0.993736721940724600, -0.111746711211126590, 0.993715276508913230, - -0.111937255785614570, - 0.993693794541031790, -0.112127796244489640, 0.993672276037870010, - -0.112318332580746170, - 0.993650721000219120, -0.112508864787378690, 0.993629129428871720, - -0.112699392857381860, - 0.993607501324621610, -0.112889916783750520, 0.993585836688263950, - -0.113080436559479620, - 0.993564135520595300, -0.113270952177564350, 0.993542397822413600, - -0.113461463630999950, - 0.993520623594518090, -0.113651970912781870, 0.993498812837709360, - -0.113842474015905710, - 0.993476965552789190, -0.114032972933367200, 0.993455081740560960, - -0.114223467658162260, - 0.993433161401829360, -0.114413958183286920, 0.993411204537400060, - -0.114604444501737420, - 0.993389211148080650, -0.114794926606510080, 0.993367181234679600, - -0.114985404490601460, - 0.993345114798006910, -0.115175878147008190, 0.993323011838873950, - -0.115366347568727140, - 0.993300872358093280, -0.115556812748755260, 0.993278696356479030, - -0.115747273680089720, - 0.993256483834846440, -0.115937730355727780, 0.993234234794012290, - -0.116128182768666930, - 0.993211949234794500, -0.116318630911904750, 0.993189627158012620, - -0.116509074778439040, - 0.993167268564487230, -0.116699514361267690, 0.993144873455040430, - -0.116889949653388780, - 0.993122441830495580, -0.117080380647800590, 0.993099973691677570, - -0.117270807337501460, - 0.993077469039412300, -0.117461229715489990, 0.993054927874527320, - -0.117651647774764860, - 0.993032350197851410, -0.117842061508324980, 0.993009736010214580, - -0.118032470909169340, - 0.992987085312448390, -0.118222875970297170, 0.992964398105385610, - -0.118413276684707790, - 0.992941674389860470, -0.118603673045400720, 0.992918914166708300, - -0.118794065045375640, - 0.992896117436765980, -0.118984452677632340, 0.992873284200871730, - -0.119174835935170880, - 0.992850414459865100, -0.119365214810991350, 0.992827508214586760, - -0.119555589298094110, - 0.992804565465879140, -0.119745959389479600, 0.992781586214585570, - -0.119936325078148470, - 0.992758570461551140, -0.120126686357101500, 0.992735518207621850, - -0.120317043219339680, - 0.992712429453645460, -0.120507395657864130, 0.992689304200470750, - -0.120697743665676110, - 0.992666142448948020, -0.120888087235777080, 0.992642944199928820, - -0.121078426361168640, - 0.992619709454266140, -0.121268761034852600, 0.992596438212814290, - -0.121459091249830840, - 0.992573130476428810, -0.121649416999105530, 0.992549786245966680, - -0.121839738275678890, - 0.992526405522286100, -0.122030055072553360, 0.992502988306246950, - -0.122220367382731540, - 0.992479534598709970, -0.122410675199216200, 0.992456044400537700, - -0.122600978515010240, - 0.992432517712593660, -0.122791277323116770, 0.992408954535742850, - -0.122981571616539050, - 0.992385354870851670, -0.123171861388280480, 0.992361718718787870, - -0.123362146631344680, - 0.992338046080420420, -0.123552427338735370, 0.992314336956619640, - -0.123742703503456510, - 0.992290591348257370, -0.123932975118512160, 0.992266809256206580, - -0.124123242176906600, - 0.992242990681341700, -0.124313504671644230, 0.992219135624538450, - -0.124503762595729660, - 0.992195244086673920, -0.124694015942167640, 0.992171316068626520, - -0.124884264703963130, - 0.992147351571276090, -0.125074508874121170, 0.992123350595503720, - -0.125264748445647060, - 0.992099313142191800, -0.125454983411546230, 0.992075239212224070, - -0.125645213764824290, - 0.992051128806485720, -0.125835439498487000, 0.992026981925863360, - -0.126025660605540320, - 0.992002798571244520, -0.126215877078990350, 0.991978578743518580, - -0.126406088911843380, - 0.991954322443575950, -0.126596296097105850, 0.991930029672308480, - -0.126786498627784410, - 0.991905700430609330, -0.126976696496885870, 0.991881334719373010, - -0.127166889697417160, - 0.991856932539495470, -0.127357078222385400, 0.991832493891873780, - -0.127547262064797970, - 0.991808018777406430, -0.127737441217662310, 0.991783507196993490, - -0.127927615673986080, - 0.991758959151536110, -0.128117785426777130, 0.991734374641936810, - -0.128307950469043420, - 0.991709753669099530, -0.128498110793793170, 0.991685096233929420, - -0.128688266394034690, - 0.991660402337333210, -0.128878417262776550, 0.991635671980218740, - -0.129068563393027410, - 0.991610905163495370, -0.129258704777796140, 0.991586101888073500, - -0.129448841410091780, - 0.991561262154865290, -0.129638973282923560, 0.991536385964783880, - -0.129829100389300930, - 0.991511473318743900, -0.130019222722233350, 0.991486524217661480, - -0.130209340274730630, - 0.991461538662453790, -0.130399453039802690, 0.991436516654039420, - -0.130589561010459650, - 0.991411458193338540, -0.130779664179711710, 0.991386363281272280, - -0.130969762540569380, - 0.991361231918763460, -0.131159856086043270, 0.991336064106736140, - -0.131349944809144190, - 0.991310859846115440, -0.131540028702883120, 0.991285619137828200, - -0.131730107760271160, - 0.991260341982802440, -0.131920181974319790, 0.991235028381967420, - -0.132110251338040360, - 0.991209678336254060, -0.132300315844444650, 0.991184291846594180, - -0.132490375486544550, - 0.991158868913921350, -0.132680430257352070, 0.991133409539170170, - -0.132870480149879430, - 0.991107913723276890, -0.133060525157139060, 0.991082381467178640, - -0.133250565272143570, - 0.991056812771814340, -0.133440600487905680, 0.991031207638124130, - -0.133630630797438340, - 0.991005566067049370, -0.133820656193754720, 0.990979888059532740, - -0.134010676669868130, - 0.990954173616518500, -0.134200692218792020, 0.990928422738951990, - -0.134390702833540070, - 0.990902635427780010, -0.134580708507126170, 0.990876811683950700, - -0.134770709232564350, - 0.990850951508413620, -0.134960705002868750, 0.990825054902119470, - -0.135150695811053850, - 0.990799121866020370, -0.135340681650134210, 0.990773152401069780, - -0.135530662513124590, - 0.990747146508222710, -0.135720638393039910, 0.990721104188435180, - -0.135910609282895330, - 0.990695025442664630, -0.136100575175706200, 0.990668910271870100, - -0.136290536064487960, - 0.990642758677011570, -0.136480491942256280, 0.990616570659050620, - -0.136670442802027090, - 0.990590346218950150, -0.136860388636816380, 0.990564085357674370, - -0.137050329439640410, - 0.990537788076188750, -0.137240265203515590, 0.990511454375460290, - -0.137430195921458550, - 0.990485084256457090, -0.137620121586486040, 0.990458677720148620, - -0.137810042191615080, - 0.990432234767505970, -0.137999957729862790, 0.990405755399501260, - -0.138189868194246560, - 0.990379239617108160, -0.138379773577783890, 0.990352687421301450, - -0.138569673873492500, - 0.990326098813057330, -0.138759569074390350, 0.990299473793353590, - -0.138949459173495490, - 0.990272812363169110, -0.139139344163826200, 0.990246114523483990, - -0.139329224038400980, - 0.990219380275280000, -0.139519098790238490, 0.990192609619540030, - -0.139708968412357550, - 0.990165802557248400, -0.139898832897777210, 0.990138959089390650, - -0.140088692239516670, - 0.990112079216953770, -0.140278546430595420, 0.990085162940925970, - -0.140468395464033000, - 0.990058210262297120, -0.140658239332849210, 0.990031221182058000, - -0.140848078030064080, - 0.990004195701200910, -0.141037911548697710, 0.989977133820719610, - -0.141227739881770510, - 0.989950035541608990, -0.141417563022303020, 0.989922900864865450, - -0.141607380963316020, - 0.989895729791486660, -0.141797193697830390, 0.989868522322471580, - -0.141987001218867290, - 0.989841278458820530, -0.142176803519448030, 0.989813998201535260, - -0.142366600592594180, - 0.989786681551618640, -0.142556392431327340, 0.989759328510075200, - -0.142746179028669460, - 0.989731939077910570, -0.142935960377642670, 0.989704513256131850, - -0.143125736471269190, - 0.989677051045747210, -0.143315507302571500, 0.989649552447766530, - -0.143505272864572290, - 0.989622017463200890, -0.143695033150294470, 0.989594446093062460, - -0.143884788152760980, - 0.989566838338365120, -0.144074537864995160, 0.989539194200123930, - -0.144264282280020440, - 0.989511513679355190, -0.144454021390860470, 0.989483796777076760, - -0.144643755190539040, - 0.989456043494307710, -0.144833483672080210, 0.989428253832068230, - -0.145023206828508220, - 0.989400427791380380, -0.145212924652847460, 0.989372565373267010, - -0.145402637138122570, - 0.989344666578752640, -0.145592344277358340, 0.989316731408863000, - -0.145782046063579860, - 0.989288759864625170, -0.145971742489812210, 0.989260751947067640, - -0.146161433549080900, - 0.989232707657220050, -0.146351119234411460, 0.989204626996113780, - -0.146540799538829760, - 0.989176509964781010, -0.146730474455361750, 0.989148356564255590, - -0.146920143977033620, - 0.989120166795572690, -0.147109808096871820, 0.989091940659768800, - -0.147299466807902850, - 0.989063678157881540, -0.147489120103153570, 0.989035379290950310, - -0.147678767975650970, - 0.989007044060015270, -0.147868410418422220, 0.988978672466118480, - -0.148058047424494720, - 0.988950264510302990, -0.148247678986896030, 0.988921820193613190, - -0.148437305098653970, - 0.988893339517095130, -0.148626925752796540, 0.988864822481795640, - -0.148816540942351920, - 0.988836269088763540, -0.149006150660348450, 0.988807679339048450, - -0.149195754899814820, - 0.988779053233701520, -0.149385353653779720, 0.988750390773775360, - -0.149574946915272230, - 0.988721691960323780, -0.149764534677321510, 0.988692956794401940, - -0.149954116932956960, - 0.988664185277066230, -0.150143693675208190, 0.988635377409374790, - -0.150333264897105000, - 0.988606533192386450, -0.150522830591677400, 0.988577652627162020, - -0.150712390751955610, - 0.988548735714763200, -0.150901945370970040, 0.988519782456253270, - -0.151091494441751300, - 0.988490792852696590, -0.151281037957330220, 0.988461766905159300, - -0.151470575910737810, - 0.988432704614708340, -0.151660108295005310, 0.988403605982412390, - -0.151849635103164180, - 0.988374471009341280, -0.152039156328246050, 0.988345299696566150, - -0.152228671963282740, - 0.988316092045159690, -0.152418182001306330, 0.988286848056195820, - -0.152607686435349050, - 0.988257567730749460, -0.152797185258443440, 0.988228251069897420, - -0.152986678463622040, - 0.988198898074717610, -0.153176166043917840, 0.988169508746289060, - -0.153365647992363880, - 0.988140083085692570, -0.153555124301993450, 0.988110621094009820, - -0.153744594965840030, - 0.988081122772324070, -0.153934059976937350, 0.988051588121720110, - -0.154123519328319360, - 0.988022017143283530, -0.154312973013020100, 0.987992409838101880, - -0.154502421024073940, - 0.987962766207263420, -0.154691863354515430, 0.987933086251858380, - -0.154881299997379320, - 0.987903369972977790, -0.155070730945700510, 0.987873617371714200, - -0.155260156192514240, - 0.987843828449161740, -0.155449575730855850, 0.987814003206415550, - -0.155638989553760900, - 0.987784141644572180, -0.155828397654265230, 0.987754243764729530, - -0.156017800025404800, - 0.987724309567986960, -0.156207196660215900, 0.987694339055445130, - -0.156396587551734880, - 0.987664332228205710, -0.156585972692998430, 0.987634289087372160, - -0.156775352077043350, - 0.987604209634049160, -0.156964725696906780, 0.987574093869342360, - -0.157154093545625900, - 0.987543941794359230, -0.157343455616238250, 0.987513753410208420, - -0.157532811901781530, - 0.987483528717999710, -0.157722162395293630, 0.987453267718844560, - -0.157911507089812660, - 0.987422970413855410, -0.158100845978376980, 0.987392636804146240, - -0.158290179054025180, - 0.987362266890832400, -0.158479506309795960, 0.987331860675030430, - -0.158668827738728310, - 0.987301418157858430, -0.158858143333861450, 0.987270939340435420, - -0.159047453088234760, - 0.987240424223882250, -0.159236756994887850, 0.987209872809320820, - -0.159426055046860580, - 0.987179285097874340, -0.159615347237193060, 0.987148661090667570, - -0.159804633558925440, - 0.987118000788826280, -0.159993914005098270, 0.987087304193477900, - -0.160183188568752220, - 0.987056571305750970, -0.160372457242928280, 0.987025802126775600, - -0.160561720020667490, - 0.986994996657682980, -0.160750976895011220, 0.986964154899605650, - -0.160940227859001080, - 0.986933276853677710, -0.161129472905678810, 0.986902362521034470, - -0.161318712028086400, - 0.986871411902812470, -0.161507945219266120, 0.986840425000149680, - -0.161697172472260400, - 0.986809401814185530, -0.161886393780111830, 0.986778342346060430, - -0.162075609135863330, - 0.986747246596916590, -0.162264818532558000, 0.986716114567897100, - -0.162454021963239190, - 0.986684946260146690, -0.162643219420950310, 0.986653741674811350, - -0.162832410898735210, - 0.986622500813038480, -0.163021596389637840, 0.986591223675976400, - -0.163210775886702380, - 0.986559910264775410, -0.163399949382973230, 0.986528560580586690, - -0.163589116871495020, - 0.986497174624562880, -0.163778278345312670, 0.986465752397857940, - -0.163967433797471170, - 0.986434293901627180, -0.164156583221015810, 0.986402799137027220, - -0.164345726608992190, - 0.986371268105216030, -0.164534863954446000, 0.986339700807353000, - -0.164723995250423170, - 0.986308097244598670, -0.164913120489969890, 0.986276457418115090, - -0.165102239666132660, - 0.986244781329065460, -0.165291352771958000, 0.986213068978614490, - -0.165480459800492780, - 0.986181320367928270, -0.165669560744784120, 0.986149535498173860, - -0.165858655597879300, - 0.986117714370520090, -0.166047744352825790, 0.986085856986136820, - -0.166236827002671420, - 0.986053963346195440, -0.166425903540464100, 0.986022033451868560, - -0.166614973959252090, - 0.985990067304330140, -0.166804038252083730, 0.985958064904755460, - -0.166993096412007710, - 0.985926026254321130, -0.167182148432072940, 0.985893951354205210, - -0.167371194305328430, - 0.985861840205586980, -0.167560234024823560, 0.985829692809647050, - -0.167749267583607890, - 0.985797509167567480, -0.167938294974731170, 0.985765289280531310, - -0.168127316191243410, - 0.985733033149723490, -0.168316331226194830, 0.985700740776329850, - -0.168505340072635900, - 0.985668412161537550, -0.168694342723617330, 0.985636047306535420, - -0.168883339172189980, - 0.985603646212513400, -0.169072329411405010, 0.985571208880662740, - -0.169261313434313830, - 0.985538735312176060, -0.169450291233967960, 0.985506225508247290, - -0.169639262803419290, - 0.985473679470071810, -0.169828228135719850, 0.985441097198846210, - -0.170017187223921950, - 0.985408478695768420, -0.170206140061078070, 0.985375823962037710, - -0.170395086640240940, - 0.985343132998854790, -0.170584026954463590, 0.985310405807421570, - -0.170772960996799230, - 0.985277642388941220, -0.170961888760301220, 0.985244842744618540, - -0.171150810238023280, - 0.985212006875659350, -0.171339725423019310, 0.985179134783271130, - -0.171528634308343420, - 0.985146226468662230, -0.171717536887049970, 0.985113281933042710, - -0.171906433152193530, - 0.985080301177623800, -0.172095323096829010, 0.985047284203618200, - -0.172284206714011370, - 0.985014231012239840, -0.172473083996795950, 0.984981141604703960, - -0.172661954938238270, - 0.984948015982227030, -0.172850819531394080, 0.984914854146027200, - -0.173039677769319360, - 0.984881656097323700, -0.173228529645070320, 0.984848421837337010, - -0.173417375151703470, - 0.984815151367289140, -0.173606214282275410, 0.984781844688403350, - -0.173795047029843160, - 0.984748501801904210, -0.173983873387463820, 0.984715122709017620, - -0.174172693348194820, - 0.984681707410970940, -0.174361506905093750, 0.984648255908992630, - -0.174550314051218510, - 0.984614768204312600, -0.174739114779627200, 0.984581244298162180, - -0.174927909083378160, - 0.984547684191773960, -0.175116696955529920, 0.984514087886381840, - -0.175305478389141320, - 0.984480455383220930, -0.175494253377271430, 0.984446786683527920, - -0.175683021912979490, - 0.984413081788540700, -0.175871783989325040, 0.984379340699498510, - -0.176060539599367820, - 0.984345563417641900, -0.176249288736167880, 0.984311749944212780, - -0.176438031392785410, - 0.984277900280454370, -0.176626767562280880, 0.984244014427611110, - -0.176815497237715000, - 0.984210092386929030, -0.177004220412148750, 0.984176134159655320, - -0.177192937078643280, - 0.984142139747038570, -0.177381647230260040, 0.984108109150328540, - -0.177570350860060710, - 0.984074042370776450, -0.177759047961107170, 0.984039939409634970, - -0.177947738526461560, - 0.984005800268157870, -0.178136422549186300, 0.983971624947600270, - -0.178325100022344000, - 0.983937413449218920, -0.178513770938997510, 0.983903165774271500, - -0.178702435292209970, - 0.983868881924017220, -0.178891093075044720, 0.983834561899716630, - -0.179079744280565390, - 0.983800205702631600, -0.179268388901835750, 0.983765813334025240, - -0.179457026931919890, - 0.983731384795162090, -0.179645658363882160, 0.983696920087308140, - -0.179834283190787090, - 0.983662419211730250, -0.180022901405699510, 0.983627882169697210, - -0.180211513001684450, - 0.983593308962478650, -0.180400117971807240, 0.983558699591345900, - -0.180588716309133340, - 0.983524054057571260, -0.180777308006728590, 0.983489372362428730, - -0.180965893057658980, - 0.983454654507193270, -0.181154471454990810, 0.983419900493141540, - -0.181343043191790540, - 0.983385110321551180, -0.181531608261124970, 0.983350283993701500, - -0.181720166656061110, - 0.983315421510872810, -0.181908718369666160, 0.983280522874346970, - -0.182097263395007650, - 0.983245588085407070, -0.182285801725153300, 0.983210617145337640, - -0.182474333353171120, - 0.983175610055424420, -0.182662858272129270, 0.983140566816954500, - -0.182851376475096330, - 0.983105487431216290, -0.183039887955140950, 0.983070371899499640, - -0.183228392705332140, - 0.983035220223095640, -0.183416890718739100, 0.983000032403296590, - -0.183605381988431270, - 0.982964808441396440, -0.183793866507478450, 0.982929548338690170, - -0.183982344268950520, - 0.982894252096474070, -0.184170815265917720, 0.982858919716046110, - -0.184359279491450510, - 0.982823551198705240, -0.184547736938619620, 0.982788146545751970, - -0.184736187600495950, - 0.982752705758487830, -0.184924631470150790, 0.982717228838215990, - -0.185113068540655540, - 0.982681715786240860, -0.185301498805081900, 0.982646166603868050, - -0.185489922256501880, - 0.982610581292404750, -0.185678338887987630, 0.982574959853159240, - -0.185866748692611660, - 0.982539302287441240, -0.186055151663446630, 0.982503608596561830, - -0.186243547793565560, - 0.982467878781833170, -0.186431937076041610, 0.982432112844569110, - -0.186620319503948280, - 0.982396310786084690, -0.186808695070359270, 0.982360472607696210, - -0.186997063768348540, - 0.982324598310721280, -0.187185425590990330, 0.982288687896478830, - -0.187373780531359110, - 0.982252741366289370, -0.187562128582529600, 0.982216758721474510, - -0.187750469737576780, - 0.982180739963357090, -0.187938803989575910, 0.982144685093261580, - -0.188127131331602420, - 0.982108594112513610, -0.188315451756732120, 0.982072467022440000, - -0.188503765258040940, - 0.982036303824369020, -0.188692071828605230, 0.982000104519630490, - -0.188880371461501380, - 0.981963869109555240, -0.189068664149806190, 0.981927597595475540, - -0.189256949886596750, - 0.981891289978725100, -0.189445228664950230, 0.981854946260638630, - -0.189633500477944190, - 0.981818566442552500, -0.189821765318656410, 0.981782150525804310, - -0.190010023180164990, - 0.981745698511732990, -0.190198274055548150, 0.981709210401678800, - -0.190386517937884470, - 0.981672686196983110, -0.190574754820252740, 0.981636125898989080, - -0.190762984695732110, - 0.981599529509040720, -0.190951207557401800, 0.981562897028483650, - -0.191139423398341450, - 0.981526228458664770, -0.191327632211630900, 0.981489523800932130, - -0.191515833990350210, - 0.981452783056635520, -0.191704028727579800, 0.981416006227125550, - -0.191892216416400220, - 0.981379193313754560, -0.192080397049892440, 0.981342344317876040, - -0.192268570621137500, - 0.981305459240844670, -0.192456737123216840, 0.981268538084016710, - -0.192644896549212100, - 0.981231580848749730, -0.192833048892205230, 0.981194587536402320, - -0.193021194145278380, - 0.981157558148334830, -0.193209332301513960, 0.981120492685908730, - -0.193397463353994740, - 0.981083391150486710, -0.193585587295803610, 0.981046253543432780, - -0.193773704120023820, - 0.981009079866112630, -0.193961813819738840, 0.980971870119892840, - -0.194149916388032450, - 0.980934624306141640, -0.194338011817988600, 0.980897342426228390, - -0.194526100102691610, - 0.980860024481523870, -0.194714181235225960, 0.980822670473400100, - -0.194902255208676520, - 0.980785280403230430, -0.195090322016128250, 0.980747854272389750, - -0.195278381650666550, - 0.980710392082253970, -0.195466434105376980, 0.980672893834200530, - -0.195654479373345370, - 0.980635359529608120, -0.195842517447657850, 0.980597789169856850, - -0.196030548321400790, - 0.980560182756327840, -0.196218571987660880, 0.980522540290404090, - -0.196406588439524970, - 0.980484861773469380, -0.196594597670080220, 0.980447147206909060, - -0.196782599672414100, - 0.980409396592109910, -0.196970594439614340, 0.980371609930459800, - -0.197158581964768880, - 0.980333787223347960, -0.197346562240965920, 0.980295928472165290, - -0.197534535261294030, - 0.980258033678303550, -0.197722501018841920, 0.980220102843156080, - -0.197910459506698670, - 0.980182135968117430, -0.198098410717953560, 0.980144133054583590, - -0.198286354645696220, - 0.980106094103951770, -0.198474291283016390, 0.980068019117620650, - -0.198662220623004200, - 0.980029908096990090, -0.198850142658750090, 0.979991761043461200, - -0.199038057383344680, - 0.979953577958436740, -0.199225964789878830, 0.979915358843320480, - -0.199413864871443770, - 0.979877103699517640, -0.199601757621130970, 0.979838812528434740, - -0.199789643032032090, - 0.979800485331479790, -0.199977521097239150, 0.979762122110061750, - -0.200165391809844440, - 0.979723722865591170, -0.200353255162940450, 0.979685287599479930, - -0.200541111149619980, - 0.979646816313141210, -0.200728959762976140, 0.979608309007989450, - -0.200916800996102230, - 0.979569765685440520, -0.201104634842091900, 0.979531186346911500, - -0.201292461294039020, - 0.979492570993820810, -0.201480280345037730, 0.979453919627588210, - -0.201668091988182530, - 0.979415232249634780, -0.201855896216568050, 0.979376508861383170, - -0.202043693023289260, - 0.979337749464256780, -0.202231482401441450, 0.979298954059681040, - -0.202419264344120160, - 0.979260122649082020, -0.202607038844421130, 0.979221255233887700, - -0.202794805895440440, - 0.979182351815526930, -0.202982565490274440, 0.979143412395430230, - -0.203170317622019790, - 0.979104436975029250, -0.203358062283773320, 0.979065425555756930, - -0.203545799468632190, - 0.979026378139047580, -0.203733529169693920, 0.978987294726337050, - -0.203921251380056120, - 0.978948175319062200, -0.204108966092816870, 0.978909019918661310, - -0.204296673301074370, - 0.978869828526574120, -0.204484372997927240, 0.978830601144241470, - -0.204672065176474210, - 0.978791337773105670, -0.204859749829814420, 0.978752038414610340, - -0.205047426951047250, - 0.978712703070200420, -0.205235096533272350, 0.978673331741322210, - -0.205422758569589610, - 0.978633924429423210, -0.205610413053099240, 0.978594481135952270, - -0.205798059976901790, - 0.978555001862359550, -0.205985699334097910, 0.978515486610096910, - -0.206173331117788710, - 0.978475935380616830, -0.206360955321075510, 0.978436348175373730, - -0.206548571937059890, - 0.978396724995823090, -0.206736180958843690, 0.978357065843421640, - -0.206923782379529100, - 0.978317370719627650, -0.207111376192218560, 0.978277639625900530, - -0.207298962390014750, - 0.978237872563701090, -0.207486540966020650, 0.978198069534491400, - -0.207674111913339570, - 0.978158230539735050, -0.207861675225075070, 0.978118355580896660, - -0.208049230894330940, - 0.978078444659442380, -0.208236778914211330, 0.978038497776839600, - -0.208424319277820600, - 0.977998514934557140, -0.208611851978263490, 0.977958496134064830, - -0.208799377008644900, - 0.977918441376834370, -0.208986894362070070, 0.977878350664338150, - -0.209174404031644580, - 0.977838223998050430, -0.209361906010474160, 0.977798061379446360, - -0.209549400291664940, - 0.977757862810002760, -0.209736886868323290, 0.977717628291197460, - -0.209924365733555880, - 0.977677357824509930, -0.210111836880469610, 0.977637051411420770, - -0.210299300302171730, - 0.977596709053411890, -0.210486755991769720, 0.977556330751966460, - -0.210674203942371440, - 0.977515916508569280, -0.210861644147084860, 0.977475466324706170, - -0.211049076599018390, - 0.977434980201864260, -0.211236501291280710, 0.977394458141532250, - -0.211423918216980670, - 0.977353900145199960, -0.211611327369227550, 0.977313306214358750, - -0.211798728741130840, - 0.977272676350500860, -0.211986122325800330, 0.977232010555120320, - -0.212173508116346080, - 0.977191308829712280, -0.212360886105878420, 0.977150571175773200, - -0.212548256287508060, - 0.977109797594800880, -0.212735618654345930, 0.977068988088294450, - -0.212922973199503180, - 0.977028142657754390, -0.213110319916091360, 0.976987261304682390, - -0.213297658797222320, - 0.976946344030581670, -0.213484989836008050, 0.976905390836956490, - -0.213672313025560970, - 0.976864401725312640, -0.213859628358993750, 0.976823376697157240, - -0.214046935829419360, - 0.976782315753998650, -0.214234235429950990, 0.976741218897346550, - -0.214421527153702160, - 0.976700086128711840, -0.214608810993786760, 0.976658917449606980, - -0.214796086943318860, - 0.976617712861545640, -0.214983354995412820, 0.976576472366042610, - -0.215170615143183390, - 0.976535195964614470, -0.215357867379745550, 0.976493883658778650, - -0.215545111698214500, - 0.976452535450054060, -0.215732348091705880, 0.976411151339961040, - -0.215919576553335490, - 0.976369731330021140, -0.216106797076219520, 0.976328275421757260, - -0.216294009653474340, - 0.976286783616693630, -0.216481214278216730, 0.976245255916355800, - -0.216668410943563730, - 0.976203692322270560, -0.216855599642632620, 0.976162092835966110, - -0.217042780368540990, - 0.976120457458971910, -0.217229953114406790, 0.976078786192818850, - -0.217417117873348190, - 0.976037079039039020, -0.217604274638483640, 0.975995335999165990, - -0.217791423402931950, - 0.975953557074734300, -0.217978564159812200, 0.975911742267280170, - -0.218165696902243800, - 0.975869891578341030, -0.218352821623346320, 0.975828005009455660, - -0.218539938316239770, - 0.975786082562163930, -0.218727046974044440, 0.975744124238007270, - -0.218914147589880840, - 0.975702130038528570, -0.219101240156869800, 0.975660099965271590, - -0.219288324668132470, - 0.975618034019781750, -0.219475401116790310, 0.975575932203605720, - -0.219662469495965050, - 0.975533794518291360, -0.219849529798778700, 0.975491620965388110, - -0.220036582018353580, - 0.975449411546446380, -0.220223626147812380, 0.975407166263018270, - -0.220410662180277940, - 0.975364885116656980, -0.220597690108873510, 0.975322568108916930, - -0.220784709926722610, - 0.975280215241354220, -0.220971721626949110, 0.975237826515525820, - -0.221158725202677010, - 0.975195401932990370, -0.221345720647030810, 0.975152941495307620, - -0.221532707953135230, - 0.975110445204038890, -0.221719687114115220, 0.975067913060746470, - -0.221906658123096100, - 0.975025345066994120, -0.222093620973203510, 0.974982741224347140, - -0.222280575657563370, - 0.974940101534371830, -0.222467522169301880, 0.974897425998635820, - -0.222654460501545500, - 0.974854714618708430, -0.222841390647421120, 0.974811967396159830, - -0.223028312600055820, - 0.974769184332561770, -0.223215226352576980, 0.974726365429487320, - -0.223402131898112370, - 0.974683510688510670, -0.223589029229789990, 0.974640620111207560, - -0.223775918340738150, - 0.974597693699155050, -0.223962799224085460, 0.974554731453931230, - -0.224149671872960870, - 0.974511733377115720, -0.224336536280493600, 0.974468699470289580, - -0.224523392439813170, - 0.974425629735034990, -0.224710240344049430, 0.974382524172935470, - -0.224897079986332490, - 0.974339382785575860, -0.225083911359792830, 0.974296205574542440, - -0.225270734457561160, - 0.974252992541422500, -0.225457549272768540, 0.974209743687805220, - -0.225644355798546330, - 0.974166459015280320, -0.225831154028026170, 0.974123138525439640, - -0.226017943954340020, - 0.974079782219875680, -0.226204725570620190, 0.974036390100182610, - -0.226391498869999240, - 0.973992962167955830, -0.226578263845610000, 0.973949498424792170, - -0.226765020490585690, - 0.973905998872289570, -0.226951768798059810, 0.973862463512047300, - -0.227138508761166170, - 0.973818892345666100, -0.227325240373038860, 0.973775285374748110, - -0.227511963626812280, - 0.973731642600896400, -0.227698678515621170, 0.973687964025715670, - -0.227885385032600530, - 0.973644249650811980, -0.228072083170885730, 0.973600499477792370, - -0.228258772923612380, - 0.973556713508265560, -0.228445454283916470, 0.973512891743841370, - -0.228632127244934230, - 0.973469034186131070, -0.228818791799802220, 0.973425140836747030, - -0.229005447941657340, - 0.973381211697303290, -0.229192095663636770, 0.973337246769414910, - -0.229378734958878010, - 0.973293246054698250, -0.229565365820518870, 0.973249209554771230, - -0.229751988241697490, - 0.973205137271252800, -0.229938602215552210, 0.973161029205763530, - -0.230125207735221850, - 0.973116885359925130, -0.230311804793845440, 0.973072705735360530, - -0.230498393384562350, - 0.973028490333694210, -0.230684973500512200, 0.972984239156551740, - -0.230871545134835020, - 0.972939952205560180, -0.231058108280671110, 0.972895629482347760, - -0.231244662931161050, - 0.972851270988544180, -0.231431209079445750, 0.972806876725780370, - -0.231617746718666470, - 0.972762446695688570, -0.231804275841964780, 0.972717980899902250, - -0.231990796442482440, - 0.972673479340056430, -0.232177308513361710, 0.972628942017787270, - -0.232363812047745030, - 0.972584368934732210, -0.232550307038775240, 0.972539760092530180, - -0.232736793479595390, - 0.972495115492821190, -0.232923271363348980, 0.972450435137246830, - -0.233109740683179690, - 0.972405719027449770, -0.233296201432231590, 0.972360967165074140, - -0.233482653603649090, - 0.972316179551765300, -0.233669097190576820, 0.972271356189170040, - -0.233855532186159840, - 0.972226497078936270, -0.234041958583543430, 0.972181602222713440, - -0.234228376375873210, - 0.972136671622152230, -0.234414785556295160, 0.972091705278904430, - -0.234601186117955550, - 0.972046703194623500, -0.234787578054000970, 0.972001665370963890, - -0.234973961357578250, - 0.971956591809581720, -0.235160336021834730, 0.971911482512134000, - -0.235346702039917840, - 0.971866337480279400, -0.235533059404975490, 0.971821156715677700, - -0.235719408110155820, - 0.971775940219990140, -0.235905748148607370, 0.971730687994879160, - -0.236092079513478910, - 0.971685400042008540, -0.236278402197919570, 0.971640076363043390, - -0.236464716195078780, - 0.971594716959650160, -0.236651021498106380, 0.971549321833496630, - -0.236837318100152380, - 0.971503890986251780, -0.237023605994367200, 0.971458424419585960, - -0.237209885173901600, - 0.971412922135170940, -0.237396155631906610, 0.971367384134679490, - -0.237582417361533570, - 0.971321810419786160, -0.237768670355934190, 0.971276200992166490, - -0.237954914608260540, - 0.971230555853497380, -0.238141150111664840, 0.971184875005457030, - -0.238327376859299810, - 0.971139158449725090, -0.238513594844318420, 0.971093406187982460, - -0.238699804059873980, - 0.971047618221911100, -0.238886004499120040, 0.971001794553194690, - -0.239072196155210610, - 0.970955935183517970, -0.239258379021299980, 0.970910040114567050, - -0.239444553090542630, - 0.970864109348029470, -0.239630718356093560, 0.970818142885593870, - -0.239816874811108000, - 0.970772140728950350, -0.240003022448741500, 0.970726102879790110, - -0.240189161262149900, - 0.970680029339806130, -0.240375291244489450, 0.970633920110692160, - -0.240561412388916650, - 0.970587775194143630, -0.240747524688588430, 0.970541594591857070, - -0.240933628136661910, - 0.970495378305530560, -0.241119722726294590, 0.970449126336863090, - -0.241305808450644370, - 0.970402838687555500, -0.241491885302869330, 0.970356515359309450, - -0.241677953276128010, - 0.970310156353828110, -0.241864012363579180, 0.970263761672816140, - -0.242050062558382070, - 0.970217331317979160, -0.242236103853696010, 0.970170865291024480, - -0.242422136242680890, - 0.970124363593660280, -0.242608159718496810, 0.970077826227596420, - -0.242794174274304220, - 0.970031253194543970, -0.242980179903263870, 0.969984644496215240, - -0.243166176598536900, - 0.969938000134323960, -0.243352164353284740, 0.969891320110585100, - -0.243538143160669130, - 0.969844604426714830, -0.243724113013852160, 0.969797853084430890, - -0.243910073905996260, - 0.969751066085452140, -0.244096025830264210, 0.969704243431498860, - -0.244281968779819030, - 0.969657385124292450, -0.244467902747824150, 0.969610491165555870, - -0.244653827727443320, - 0.969563561557013180, -0.244839743711840670, 0.969516596300390000, - -0.245025650694180470, - 0.969469595397413060, -0.245211548667627540, 0.969422558849810320, - -0.245397437625346960, - 0.969375486659311280, -0.245583317560504060, 0.969328378827646660, - -0.245769188466264580, - 0.969281235356548530, -0.245955050335794590, 0.969234056247750050, - -0.246140903162260530, - 0.969186841502985950, -0.246326746938829030, 0.969139591123992280, - -0.246512581658667210, - 0.969092305112506210, -0.246698407314942410, 0.969044983470266240, - -0.246884223900822430, - 0.968997626199012420, -0.247070031409475250, 0.968950233300485800, - -0.247255829834069300, - 0.968902804776428870, -0.247441619167773270, 0.968855340628585580, - -0.247627399403756280, - 0.968807840858700970, -0.247813170535187670, 0.968760305468521430, - -0.247998932555237110, - 0.968712734459794780, -0.248184685457074780, 0.968665127834270060, - -0.248370429233870980, - 0.968617485593697540, -0.248556163878796560, 0.968569807739828930, - -0.248741889385022480, - 0.968522094274417380, -0.248927605745720150, 0.968474345199216820, - -0.249113312954061360, - 0.968426560515983190, -0.249299011003218190, 0.968378740226473300, - -0.249484699886362960, - 0.968330884332445190, -0.249670379596668550, 0.968282992835658660, - -0.249856050127307990, - 0.968235065737874320, -0.250041711471454650, 0.968187103040854420, - -0.250227363622282370, - 0.968139104746362440, -0.250413006572965220, 0.968091070856162970, - -0.250598640316677670, - 0.968043001372022260, -0.250784264846594500, 0.967994896295707670, - -0.250969880155890720, - 0.967946755628987800, -0.251155486237741920, 0.967898579373632660, - -0.251341083085323880, - 0.967850367531413620, -0.251526670691812610, 0.967802120104103270, - -0.251712249050384700, - 0.967753837093475510, -0.251897818154216970, 0.967705518501305480, - -0.252083377996486450, - 0.967657164329369880, -0.252268928570370810, 0.967608774579446500, - -0.252454469869047740, - 0.967560349253314360, -0.252640001885695520, 0.967511888352754150, - -0.252825524613492610, - 0.967463391879547550, -0.253011038045617860, 0.967414859835477480, - -0.253196542175250560, - 0.967366292222328510, -0.253382036995570160, 0.967317689041886310, - -0.253567522499756560, - 0.967269050295937790, -0.253752998680989990, 0.967220375986271420, - -0.253938465532451090, - 0.967171666114676640, -0.254123923047320620, 0.967122920682944360, - -0.254309371218780000, - 0.967074139692867040, -0.254494810040010730, 0.967025323146238010, - -0.254680239504194830, - 0.966976471044852070, -0.254865659604514570, 0.966927583390505660, - -0.255051070334152470, - 0.966878660184995910, -0.255236471686291710, 0.966829701430121810, - -0.255421863654115460, - 0.966780707127683270, -0.255607246230807380, 0.966731677279481840, - -0.255792619409551610, - 0.966682611887320080, -0.255977983183532430, 0.966633510953002100, - -0.256163337545934460, - 0.966584374478333120, -0.256348682489942910, 0.966535202465119700, - -0.256534018008743040, - 0.966485994915169840, -0.256719344095520660, 0.966436751830292650, - -0.256904660743461910, - 0.966387473212298900, -0.257089967945753120, 0.966338159063000130, - -0.257275265695581120, - 0.966288809384209690, -0.257460553986133100, 0.966239424177741890, - -0.257645832810596390, - 0.966190003445412500, -0.257831102162158990, 0.966140547189038750, - -0.258016362034009020, - 0.966091055410438830, -0.258201612419334870, 0.966041528111432400, - -0.258386853311325600, - 0.965991965293840570, -0.258572084703170340, 0.965942366959485540, - -0.258757306588058680, - 0.965892733110190860, -0.258942518959180520, 0.965843063747781510, - -0.259127721809726150, - 0.965793358874083680, -0.259312915132886230, 0.965743618490924830, - -0.259498098921851660, - 0.965693842600133690, -0.259683273169813770, 0.965644031203540590, - -0.259868437869964270, - 0.965594184302976830, -0.260053593015495190, 0.965544301900275180, - -0.260238738599598840, - 0.965494383997269500, -0.260423874615468010, 0.965444430595795430, - -0.260609001056295750, - 0.965394441697689400, -0.260794117915275510, 0.965344417304789370, - -0.260979225185601070, - 0.965294357418934660, -0.261164322860466480, 0.965244262041965780, - -0.261349410933066350, - 0.965194131175724720, -0.261534489396595520, 0.965143964822054450, - -0.261719558244249030, - 0.965093762982799590, -0.261904617469222610, 0.965043525659805890, - -0.262089667064712040, - 0.964993252854920320, -0.262274707023913590, 0.964942944569991410, - -0.262459737340023980, - 0.964892600806868890, -0.262644758006240040, 0.964842221567403620, - -0.262829769015759160, - 0.964791806853447900, -0.263014770361779000, 0.964741356666855340, - -0.263199762037497560, - 0.964690871009481030, -0.263384744036113280, 0.964640349883180930, - -0.263569716350824880, - 0.964589793289812760, -0.263754678974831350, 0.964539201231235150, - -0.263939631901332350, - 0.964488573709308410, -0.264124575123527550, 0.964437910725893910, - -0.264309508634617110, - 0.964387212282854290, -0.264494432427801630, 0.964336478382053720, - -0.264679346496281890, - 0.964285709025357480, -0.264864250833259260, 0.964234904214632200, - -0.265049145431935250, - 0.964184063951745830, -0.265234030285511790, 0.964133188238567640, - -0.265418905387191260, - 0.964082277076968140, -0.265603770730176330, 0.964031330468819280, - -0.265788626307669920, - 0.963980348415994110, -0.265973472112875590, 0.963929330920367140, - -0.266158308138996990, - 0.963878277983814200, -0.266343134379238180, 0.963827189608212340, - -0.266527950826803690, - 0.963776065795439840, -0.266712757474898370, 0.963724906547376530, - -0.266897554316727350, - 0.963673711865903230, -0.267082341345496300, 0.963622481752902220, - -0.267267118554410930, - 0.963571216210257320, -0.267451885936677620, 0.963519915239853140, - -0.267636643485503090, - 0.963468578843575950, -0.267821391194094150, 0.963417207023313350, - -0.268006129055658290, - 0.963365799780954050, -0.268190857063403180, 0.963314357118388200, - -0.268375575210536900, - 0.963262879037507070, -0.268560283490267890, 0.963211365540203480, - -0.268744981895804980, - 0.963159816628371360, -0.268929670420357260, 0.963108232303906190, - -0.269114349057134380, - 0.963056612568704340, -0.269299017799346120, 0.963004957424663850, - -0.269483676640202840, - 0.962953266873683880, -0.269668325572915090, 0.962901540917665000, - -0.269852964590693860, - 0.962849779558509030, -0.270037593686750570, 0.962797982798119010, - -0.270222212854296870, - 0.962746150638399410, -0.270406822086544820, 0.962694283081255930, - -0.270591421376706940, - 0.962642380128595710, -0.270776010717996010, 0.962590441782326890, - -0.270960590103625170, - 0.962538468044359160, -0.271145159526808010, 0.962486458916603450, - -0.271329718980758420, - 0.962434414400972100, -0.271514268458690700, 0.962382334499378380, - -0.271698807953819510, - 0.962330219213737400, -0.271883337459359720, 0.962278068545965090, - -0.272067856968526920, - 0.962225882497979020, -0.272252366474536710, 0.962173661071697880, - -0.272436865970605240, - 0.962121404269041580, -0.272621355449948980, 0.962069112091931580, - -0.272805834905784810, - 0.962016784542290560, -0.272990304331329920, 0.961964421622042320, - -0.273174763719801930, - 0.961912023333112210, -0.273359213064418680, 0.961859589677426570, - -0.273543652358398730, - 0.961807120656913540, -0.273728081594960540, 0.961754616273502010, - -0.273912500767323260, - 0.961702076529122540, -0.274096909868706380, 0.961649501425706820, - -0.274281308892329660, - 0.961596890965187860, -0.274465697831413220, 0.961544245149499990, - -0.274650076679177680, - 0.961491563980579000, -0.274834445428843940, 0.961438847460361680, - -0.275018804073633220, - 0.961386095590786250, -0.275203152606767310, 0.961333308373792270, - -0.275387491021468140, - 0.961280485811320640, -0.275571819310958140, 0.961227627905313460, - -0.275756137468460120, - 0.961174734657714080, -0.275940445487197150, 0.961121806070467380, - -0.276124743360392830, - 0.961068842145519350, -0.276309031081271080, 0.961015842884817230, - -0.276493308643055990, - 0.960962808290309780, -0.276677576038972420, 0.960909738363946770, - -0.276861833262245280, - 0.960856633107679660, -0.277046080306099900, 0.960803492523460760, - -0.277230317163762170, - 0.960750316613243950, -0.277414543828458090, 0.960697105378984450, - -0.277598760293414290, - 0.960643858822638590, -0.277782966551857690, 0.960590576946164120, - -0.277967162597015370, - 0.960537259751520050, -0.278151348422115090, 0.960483907240666790, - -0.278335524020384920, - 0.960430519415565790, -0.278519689385053060, 0.960377096278180130, - -0.278703844509348490, - 0.960323637830473920, -0.278887989386500280, 0.960270144074412800, - -0.279072124009737800, - 0.960216615011963430, -0.279256248372291180, 0.960163050645094000, - -0.279440362467390510, - 0.960109450975773940, -0.279624466288266590, 0.960055816005973890, - -0.279808559828150390, - 0.960002145737665960, -0.279992643080273220, 0.959948440172823210, - -0.280176716037866980, - 0.959894699313420530, -0.280360778694163810, 0.959840923161433770, - -0.280544831042396250, - 0.959787111718839900, -0.280728873075797190, 0.959733264987617680, - -0.280912904787600000, - 0.959679382969746750, -0.281096926171038260, 0.959625465667208190, - -0.281280937219346110, - 0.959571513081984520, -0.281464937925757940, 0.959517525216059260, - -0.281648928283508630, - 0.959463502071417510, -0.281832908285833350, 0.959409443650045550, - -0.282016877925967640, - 0.959355349953930790, -0.282200837197147560, 0.959301220985062210, - -0.282384786092609360, - 0.959247056745430090, -0.282568724605589740, 0.959192857237025740, - -0.282752652729325930, - 0.959138622461841890, -0.282936570457055390, 0.959084352421872730, - -0.283120477782015820, - 0.959030047119113660, -0.283304374697445740, 0.958975706555561080, - -0.283488261196583550, - 0.958921330733213170, -0.283672137272668430, 0.958866919654069010, - -0.283856002918939750, - 0.958812473320129310, -0.284039858128637190, 0.958757991733395710, - -0.284223702895001040, - 0.958703474895871600, -0.284407537211271880, 0.958648922809561150, - -0.284591361070690440, - 0.958594335476470220, -0.284775174466498300, 0.958539712898605730, - -0.284958977391937040, - 0.958485055077976100, -0.285142769840248670, 0.958430362016590930, - -0.285326551804675870, - 0.958375633716461170, -0.285510323278461260, 0.958320870179598880, - -0.285694084254848320, - 0.958266071408017670, -0.285877834727080620, 0.958211237403732260, - -0.286061574688402040, - 0.958156368168758820, -0.286245304132057120, 0.958101463705114730, - -0.286429023051290700, - 0.958046524014818600, -0.286612731439347790, 0.957991549099890370, - -0.286796429289474080, - 0.957936538962351420, -0.286980116594915570, 0.957881493604224370, - -0.287163793348918390, - 0.957826413027532910, -0.287347459544729510, 0.957771297234302320, - -0.287531115175595930, - 0.957716146226558870, -0.287714760234765170, 0.957660960006330610, - -0.287898394715485170, - 0.957605738575646350, -0.288082018611004130, 0.957550481936536470, - -0.288265631914570770, - 0.957495190091032570, -0.288449234619434220, 0.957439863041167680, - -0.288632826718843830, - 0.957384500788975860, -0.288816408206049480, 0.957329103336492790, - -0.288999979074301420, - 0.957273670685755200, -0.289183539316850200, 0.957218202838801210, - -0.289367088926947010, - 0.957162699797670210, -0.289550627897843030, 0.957107161564402790, - -0.289734156222790250, - 0.957051588141040970, -0.289917673895040750, 0.956995979529628230, - -0.290101180907847090, - 0.956940335732208820, -0.290284677254462330, 0.956884656750828900, - -0.290468162928139820, - 0.956828942587535370, -0.290651637922133220, 0.956773193244376930, - -0.290835102229696830, - 0.956717408723403050, -0.291018555844085090, 0.956661589026665090, - -0.291201998758552900, - 0.956605734156215080, -0.291385430966355660, 0.956549844114106820, - -0.291568852460749040, - 0.956493918902395100, -0.291752263234989260, 0.956437958523136180, - -0.291935663282332780, - 0.956381962978387730, -0.292119052596036380, 0.956325932270208230, - -0.292302431169357560, - 0.956269866400658030, -0.292485798995553880, 0.956213765371798470, - -0.292669156067883460, - 0.956157629185692140, -0.292852502379604810, 0.956101457844403040, - -0.293035837923976810, - 0.956045251349996410, -0.293219162694258630, 0.955989009704538930, - -0.293402476683710110, - 0.955932732910098280, -0.293585779885591200, 0.955876420968743590, - -0.293769072293162400, - 0.955820073882545420, -0.293952353899684660, 0.955763691653575440, - -0.294135624698419030, - 0.955707274283906560, -0.294318884682627400, 0.955650821775613330, - -0.294502133845571670, - 0.955594334130771110, -0.294685372180514330, 0.955537811351456880, - -0.294868599680718270, - 0.955481253439748770, -0.295051816339446720, 0.955424660397726330, - -0.295235022149963220, - 0.955368032227470350, -0.295418217105532010, 0.955311368931062720, - -0.295601401199417360, - 0.955254670510586990, -0.295784574424884260, 0.955197936968127710, - -0.295967736775197890, - 0.955141168305770780, -0.296150888243623790, 0.955084364525603410, - -0.296334028823428190, - 0.955027525629714160, -0.296517158507877470, 0.954970651620192790, - -0.296700277290238350, - 0.954913742499130520, -0.296883385163778270, 0.954856798268619580, - -0.297066482121764730, - 0.954799818930753720, -0.297249568157465840, 0.954742804487627940, - -0.297432643264150030, - 0.954685754941338340, -0.297615707435086200, 0.954628670293982680, - -0.297798760663543550, - 0.954571550547659630, -0.297981802942791810, 0.954514395704469500, - -0.298164834266100850, - 0.954457205766513490, -0.298347854626741400, 0.954399980735894490, - -0.298530864017984120, - 0.954342720614716480, -0.298713862433100330, 0.954285425405084650, - -0.298896849865361800, - 0.954228095109105670, -0.299079826308040480, 0.954170729728887280, - -0.299262791754408840, - 0.954113329266538800, -0.299445746197739890, 0.954055893724170660, - -0.299628689631306790, - 0.953998423103894490, -0.299811622048383350, 0.953940917407823500, - -0.299994543442243580, - 0.953883376638071770, -0.300177453806161950, 0.953825800796755050, - -0.300360353133413530, - 0.953768189885990330, -0.300543241417273450, 0.953710543907895670, - -0.300726118651017500, - 0.953652862864590500, -0.300908984827921890, 0.953595146758195680, - -0.301091839941263100, - 0.953537395590833280, -0.301274683984317950, 0.953479609364626610, - -0.301457516950363940, - 0.953421788081700310, -0.301640338832678770, 0.953363931744180330, - -0.301823149624540650, - 0.953306040354193860, -0.302005949319228080, 0.953248113913869320, - -0.302188737910019990, - 0.953190152425336670, -0.302371515390195970, 0.953132155890726750, - -0.302554281753035610, - 0.953074124312172200, -0.302737036991819140, 0.953016057691806530, - -0.302919781099827310, - 0.952957956031764700, -0.303102514070341060, 0.952899819334182880, - -0.303285235896641750, - 0.952841647601198720, -0.303467946572011320, 0.952783440834950920, - -0.303650646089731910, - 0.952725199037579570, -0.303833334443086360, 0.952666922211226170, - -0.304016011625357570, - 0.952608610358033350, -0.304198677629829110, 0.952550263480144930, - -0.304381332449784880, - 0.952491881579706320, -0.304563976078509100, 0.952433464658864030, - -0.304746608509286530, - 0.952375012719765880, -0.304929229735402370, 0.952316525764560940, - -0.305111839750142110, - 0.952258003795399600, -0.305294438546791670, 0.952199446814433580, - -0.305477026118637420, - 0.952140854823815830, -0.305659602458966120, 0.952082227825700620, - -0.305842167561065080, - 0.952023565822243570, -0.306024721418221790, 0.951964868815601380, - -0.306207264023724220, - 0.951906136807932350, -0.306389795370860920, 0.951847369801395620, - -0.306572315452920740, - 0.951788567798152130, -0.306754824263192780, 0.951729730800363830, - -0.306937321794966910, - 0.951670858810193860, -0.307119808041533100, 0.951611951829806850, - -0.307302282996181790, - 0.951553009861368590, -0.307484746652204100, 0.951494032907046370, - -0.307667199002891190, - 0.951435020969008340, -0.307849640041534870, 0.951375974049424420, - -0.308032069761427330, - 0.951316892150465550, -0.308214488155861050, 0.951257775274304000, - -0.308396895218129190, - 0.951198623423113230, -0.308579290941525090, 0.951139436599068190, - -0.308761675319342450, - 0.951080214804345010, -0.308944048344875710, 0.951020958041121080, - -0.309126410011419440, - 0.950961666311575080, -0.309308760312268730, 0.950902339617887060, - -0.309491099240719100, - 0.950842977962238160, -0.309673426790066380, 0.950783581346811070, - -0.309855742953607070, - 0.950724149773789610, -0.310038047724637890, 0.950664683245358910, - -0.310220341096455850, - 0.950605181763705340, -0.310402623062358720, 0.950545645331016600, - -0.310584893615644450, - 0.950486073949481700, -0.310767152749611470, 0.950426467621290900, - -0.310949400457558640, - 0.950366826348635780, -0.311131636732785270, 0.950307150133709260, - -0.311313861568590920, - 0.950247438978705230, -0.311496074958275910, 0.950187692885819280, - -0.311678276895140550, - 0.950127911857248100, -0.311860467372486020, 0.950068095895189590, - -0.312042646383613510, - 0.950008245001843000, -0.312224813921824880, 0.949948359179409010, - -0.312406969980422440, - 0.949888438430089300, -0.312589114552708710, 0.949828482756087110, - -0.312771247631986770, - 0.949768492159606680, -0.312953369211560200, 0.949708466642853800, - -0.313135479284732840, - 0.949648406208035480, -0.313317577844809010, 0.949588310857359950, - -0.313499664885093510, - 0.949528180593036670, -0.313681740398891520, 0.949468015417276550, - -0.313863804379508500, - 0.949407815332291570, -0.314045856820250710, 0.949347580340295210, - -0.314227897714424440, - 0.949287310443502120, -0.314409927055336660, 0.949227005644128210, - -0.314591944836294660, - 0.949166665944390700, -0.314773951050606070, 0.949106291346508260, - -0.314955945691579140, - 0.949045881852700560, -0.315137928752522440, 0.948985437465188710, - -0.315319900226744890, - 0.948924958186195160, -0.315501860107555990, 0.948864444017943340, - -0.315683808388265650, - 0.948803894962658490, -0.315865745062183960, 0.948743311022566480, - -0.316047670122621860, - 0.948682692199895090, -0.316229583562890330, 0.948622038496872990, - -0.316411485376300980, - 0.948561349915730270, -0.316593375556165850, 0.948500626458698260, - -0.316775254095797270, - 0.948439868128009620, -0.316957120988508150, 0.948379074925898120, - -0.317138976227611780, - 0.948318246854599090, -0.317320819806421740, 0.948257383916349060, - -0.317502651718252260, - 0.948196486113385580, -0.317684471956417970, 0.948135553447947980, - -0.317866280514233660, - 0.948074585922276230, -0.318048077385014950, 0.948013583538612200, - -0.318229862562077530, - 0.947952546299198670, -0.318411636038737790, 0.947891474206279840, - -0.318593397808312420, - 0.947830367262101010, -0.318775147864118480, 0.947769225468909180, - -0.318956886199473650, - 0.947708048828952100, -0.319138612807695900, 0.947646837344479300, - -0.319320327682103610, - 0.947585591017741090, -0.319502030816015690, 0.947524309850989570, - -0.319683722202751430, - 0.947462993846477700, -0.319865401835630500, 0.947401643006459900, - -0.320047069707973140, - 0.947340257333192050, -0.320228725813099860, 0.947278836828930880, - -0.320410370144331820, - 0.947217381495934820, -0.320592002694990330, 0.947155891336463270, - -0.320773623458397330, - 0.947094366352777220, -0.320955232427875210, 0.947032806547138620, - -0.321136829596746660, - 0.946971211921810880, -0.321318414958334850, 0.946909582479058760, - -0.321499988505963510, - 0.946847918221148000, -0.321681550232956580, 0.946786219150346000, - -0.321863100132638580, - 0.946724485268921170, -0.322044638198334510, 0.946662716579143360, - -0.322226164423369600, - 0.946600913083283530, -0.322407678801069850, 0.946539074783614100, - -0.322589181324761330, - 0.946477201682408680, -0.322770671987770710, 0.946415293781942110, - -0.322952150783425260, - 0.946353351084490590, -0.323133617705052330, 0.946291373592331620, - -0.323315072745979980, - 0.946229361307743820, -0.323496515899536710, 0.946167314233007370, - -0.323677947159051240, - 0.946105232370403450, -0.323859366517852850, 0.946043115722214560, - -0.324040773969271450, - 0.945980964290724760, -0.324222169506636960, 0.945918778078219110, - -0.324403553123280230, - 0.945856557086983910, -0.324584924812532150, 0.945794301319306970, - -0.324766284567724220, - 0.945732010777477150, -0.324947632382188430, 0.945669685463784710, - -0.325128968249257080, - 0.945607325380521280, -0.325310292162262930, 0.945544930529979680, - -0.325491604114539310, - 0.945482500914453740, -0.325672904099419850, 0.945420036536239070, - -0.325854192110238580, - 0.945357537397632290, -0.326035468140330240, 0.945295003500931210, - -0.326216732183029710, - 0.945232434848435000, -0.326397984231672490, 0.945169831442444150, - -0.326579224279594400, - 0.945107193285260610, -0.326760452320131730, 0.945044520379187070, - -0.326941668346621420, - 0.944981812726528150, -0.327122872352400510, 0.944919070329589220, - -0.327304064330806670, - 0.944856293190677210, -0.327485244275178000, 0.944793481312100280, - -0.327666412178853120, - 0.944730634696167800, -0.327847568035170840, 0.944667753345190490, - -0.328028711837470680, - 0.944604837261480260, -0.328209843579092500, 0.944541886447350490, - -0.328390963253376580, - 0.944478900905115550, -0.328572070853663740, 0.944415880637091250, - -0.328753166373294990, - 0.944352825645594750, -0.328934249805612200, 0.944289735932944410, - -0.329115321143957250, - 0.944226611501459810, -0.329296380381672750, 0.944163452353461770, - -0.329477427512101740, - 0.944100258491272660, -0.329658462528587490, 0.944037029917215830, - -0.329839485424473940, - 0.943973766633615980, -0.330020496193105420, 0.943910468642799150, - -0.330201494827826570, - 0.943847135947092690, -0.330382481321982780, 0.943783768548825060, - -0.330563455668919540, - 0.943720366450326200, -0.330744417861982890, 0.943656929653927220, - -0.330925367894519540, - 0.943593458161960390, -0.331106305759876430, 0.943529951976759480, - -0.331287231451400820, - 0.943466411100659320, -0.331468144962440870, 0.943402835535996240, - -0.331649046286344670, - 0.943339225285107720, -0.331829935416461110, 0.943275580350332540, - -0.332010812346139380, - 0.943211900734010620, -0.332191677068729150, 0.943148186438483420, - -0.332372529577580620, - 0.943084437466093490, -0.332553369866044220, 0.943020653819184650, - -0.332734197927471050, - 0.942956835500102120, -0.332915013755212650, 0.942892982511192250, - -0.333095817342620780, - 0.942829094854802710, -0.333276608683047930, 0.942765172533282510, - -0.333457387769846850, - 0.942701215548981900, -0.333638154596370860, 0.942637223904252530, - -0.333818909155973620, - 0.942573197601446870, -0.333999651442009380, 0.942509136642919240, - -0.334180381447832690, - 0.942445041031024890, -0.334361099166798740, 0.942380910768120470, - -0.334541804592262900, - 0.942316745856563780, -0.334722497717581220, 0.942252546298714020, - -0.334903178536110180, - 0.942188312096931770, -0.335083847041206580, 0.942124043253578570, - -0.335264503226227810, - 0.942059739771017310, -0.335445147084531600, 0.941995401651612550, - -0.335625778609476290, - 0.941931028897729620, -0.335806397794420450, 0.941866621511735280, - -0.335987004632723350, - 0.941802179495997650, -0.336167599117744520, 0.941737702852886160, - -0.336348181242844050, - 0.941673191584771360, -0.336528751001382410, 0.941608645694025250, - -0.336709308386720580, - 0.941544065183020810, -0.336889853392220050, 0.941479450054132580, - -0.337070386011242620, - 0.941414800309736340, -0.337250906237150590, 0.941350115952208970, - -0.337431414063306840, - 0.941285396983928660, -0.337611909483074620, 0.941220643407275180, - -0.337792392489817460, - 0.941155855224629190, -0.337972863076899720, 0.941091032438372780, - -0.338153321237685930, - 0.941026175050889260, -0.338333766965541130, 0.940961283064563280, - -0.338514200253830940, - 0.940896356481780830, -0.338694621095921190, 0.940831395304928870, - -0.338875029485178450, - 0.940766399536396070, -0.339055425414969640, 0.940701369178571940, - -0.339235808878661950, - 0.940636304233847590, -0.339416179869623360, 0.940571204704615190, - -0.339596538381222110, - 0.940506070593268300, -0.339776884406826850, 0.940440901902201750, - -0.339957217939806880, - 0.940375698633811540, -0.340137538973531720, 0.940310460790495070, - -0.340317847501371670, - 0.940245188374650880, -0.340498143516697160, 0.940179881388678920, - -0.340678427012879200, - 0.940114539834980280, -0.340858697983289440, 0.940049163715957370, - -0.341038956421299720, - 0.939983753034014050, -0.341219202320282360, 0.939918307791555050, - -0.341399435673610420, - 0.939852827990986680, -0.341579656474657160, 0.939787313634716570, - -0.341759864716796310, - 0.939721764725153340, -0.341940060393402190, 0.939656181264707180, - -0.342120243497849530, - 0.939590563255789270, -0.342300414023513520, 0.939524910700812230, - -0.342480571963769800, - 0.939459223602189920, -0.342660717311994380, 0.939393501962337510, - -0.342840850061563950, - 0.939327745783671400, -0.343020970205855540, 0.939261955068609210, - -0.343201077738246540, - 0.939196129819569900, -0.343381172652115040, 0.939130270038973650, - -0.343561254940839390, - 0.939064375729241950, -0.343741324597798490, 0.938998446892797540, - -0.343921381616371700, - 0.938932483532064600, -0.344101425989938810, 0.938866485649468060, - -0.344281457711880180, - 0.938800453247434770, -0.344461476775576540, 0.938734386328392460, - -0.344641483174408960, - 0.938668284894770170, -0.344821476901759290, 0.938602148948998400, - -0.345001457951009670, - 0.938535978493508560, -0.345181426315542550, 0.938469773530733800, - -0.345361381988741220, - 0.938403534063108060, -0.345541324963989090, 0.938337260093066950, - -0.345721255234670120, - 0.938270951623047190, -0.345901172794168990, 0.938204608655486490, - -0.346081077635870430, - 0.938138231192824360, -0.346260969753160010, 0.938071819237501270, - -0.346440849139423520, - 0.938005372791958840, -0.346620715788047320, 0.937938891858640320, - -0.346800569692418290, - 0.937872376439989890, -0.346980410845923680, 0.937805826538453120, - -0.347160239241951160, - 0.937739242156476970, -0.347340054873889140, 0.937672623296509470, - -0.347519857735126110, - 0.937605969960999990, -0.347699647819051380, 0.937539282152399230, - -0.347879425119054510, - 0.937472559873159250, -0.348059189628525610, 0.937405803125732960, - -0.348238941340855260, - 0.937339011912574960, -0.348418680249434560, 0.937272186236140950, - -0.348598406347654930, - 0.937205326098887960, -0.348778119628908420, 0.937138431503274140, - -0.348957820086587490, - 0.937071502451759190, -0.349137507714084970, 0.937004538946803690, - -0.349317182504794380, - 0.936937540990869900, -0.349496844452109550, 0.936870508586420960, - -0.349676493549424760, - 0.936803441735921560, -0.349856129790134920, 0.936736340441837620, - -0.350035753167635240, - 0.936669204706636170, -0.350215363675321580, 0.936602034532785570, - -0.350394961306590150, - 0.936534829922755500, -0.350574546054837510, 0.936467590879016990, - -0.350754117913461060, - 0.936400317404042060, -0.350933676875858360, 0.936333009500304180, - -0.351113222935427460, - 0.936265667170278260, -0.351292756085567090, 0.936198290416440090, - -0.351472276319676310, - 0.936130879241267030, -0.351651783631154570, 0.936063433647237540, - -0.351831278013402030, - 0.935995953636831410, -0.352010759459819080, 0.935928439212529660, - -0.352190227963806830, - 0.935860890376814640, -0.352369683518766630, 0.935793307132169900, - -0.352549126118100460, - 0.935725689481080370, -0.352728555755210730, 0.935658037426032040, - -0.352907972423500250, - 0.935590350969512370, -0.353087376116372480, 0.935522630114009930, - -0.353266766827231240, - 0.935454874862014620, -0.353446144549480810, 0.935387085216017770, - -0.353625509276525970, - 0.935319261178511610, -0.353804861001772050, 0.935251402751989920, - -0.353984199718624770, - 0.935183509938947610, -0.354163525420490340, 0.935115582741880890, - -0.354342838100775550, - 0.935047621163287430, -0.354522137752887430, 0.934979625205665800, - -0.354701424370233830, - 0.934911594871516090, -0.354880697946222790, 0.934843530163339540, - -0.355059958474262860, - 0.934775431083638700, -0.355239205947763310, 0.934707297634917440, - -0.355418440360133650, - 0.934639129819680780, -0.355597661704783850, 0.934570927640435030, - -0.355776869975124640, - 0.934502691099687870, -0.355956065164566850, 0.934434420199948050, - -0.356135247266522130, - 0.934366114943725790, -0.356314416274402410, 0.934297775333532530, - -0.356493572181620090, - 0.934229401371880820, -0.356672714981588260, 0.934160993061284530, - -0.356851844667720300, - 0.934092550404258980, -0.357030961233429980, 0.934024073403320390, - -0.357210064672131960, - 0.933955562060986730, -0.357389154977240940, 0.933887016379776890, - -0.357568232142172260, - 0.933818436362210960, -0.357747296160341900, 0.933749822010810580, - -0.357926347025166010, - 0.933681173328098410, -0.358105384730061590, 0.933612490316598540, - -0.358284409268445850, - 0.933543772978836170, -0.358463420633736540, 0.933475021317337950, - -0.358642418819351990, - 0.933406235334631520, -0.358821403818710860, 0.933337415033246190, - -0.359000375625232460, - 0.933268560415712050, -0.359179334232336500, 0.933199671484560730, - -0.359358279633443130, - 0.933130748242325230, -0.359537211821973070, 0.933061790691539380, - -0.359716130791347570, - 0.932992798834738960, -0.359895036534988110, 0.932923772674460140, - -0.360073929046317020, - 0.932854712213241120, -0.360252808318756890, 0.932785617453621100, - -0.360431674345730700, - 0.932716488398140250, -0.360610527120662270, 0.932647325049340450, - -0.360789366636975580, - 0.932578127409764420, -0.360968192888095230, 0.932508895481956590, - -0.361147005867446250, - 0.932439629268462360, -0.361325805568454280, 0.932370328771828460, - -0.361504591984545260, - 0.932300993994602760, -0.361683365109145840, 0.932231624939334540, - -0.361862124935682980, - 0.932162221608574430, -0.362040871457584180, 0.932092784004874050, - -0.362219604668277460, - 0.932023312130786490, -0.362398324561191310, 0.931953805988866010, - -0.362577031129754760, - 0.931884265581668150, -0.362755724367397230, 0.931814690911749730, - -0.362934404267548640, - 0.931745081981668720, -0.363113070823639470, 0.931675438793984620, - -0.363291724029100760, - 0.931605761351257830, -0.363470363877363760, 0.931536049656050300, - -0.363648990361860550, - 0.931466303710925090, -0.363827603476023500, 0.931396523518446600, - -0.364006203213285470, - 0.931326709081180430, -0.364184789567079890, 0.931256860401693420, - -0.364363362530840620, - 0.931186977482553750, -0.364541922098002120, 0.931117060326330790, - -0.364720468261999280, - 0.931047108935595280, -0.364899001016267320, 0.930977123312918930, - -0.365077520354242180, - 0.930907103460875130, -0.365256026269360320, 0.930837049382038150, - -0.365434518755058390, - 0.930766961078983710, -0.365612997804773850, 0.930696838554288860, - -0.365791463411944570, - 0.930626681810531760, -0.365969915570008740, 0.930556490850291800, - -0.366148354272405330, - 0.930486265676149780, -0.366326779512573590, 0.930416006290687550, - -0.366505191283953370, - 0.930345712696488470, -0.366683589579984930, 0.930275384896137150, - -0.366861974394109060, - 0.930205022892219070, -0.367040345719767180, 0.930134626687321390, - -0.367218703550400980, - 0.930064196284032360, -0.367397047879452710, 0.929993731684941480, - -0.367575378700365330, - 0.929923232892639670, -0.367753696006581980, 0.929852699909718750, - -0.367931999791546450, - 0.929782132738772190, -0.368110290048703050, 0.929711531382394370, - -0.368288566771496570, - 0.929640895843181330, -0.368466829953372320, 0.929570226123729860, - -0.368645079587776040, - 0.929499522226638560, -0.368823315668153910, 0.929428784154506800, - -0.369001538187952780, - 0.929358011909935500, -0.369179747140620020, 0.929287205495526790, - -0.369357942519603130, - 0.929216364913884040, -0.369536124318350650, 0.929145490167611720, - -0.369714292530311240, - 0.929074581259315860, -0.369892447148934100, 0.929003638191603360, - -0.370070588167669080, - 0.928932660967082820, -0.370248715579966360, 0.928861649588363700, - -0.370426829379276790, - 0.928790604058057020, -0.370604929559051670, 0.928719524378774810, - -0.370783016112742560, - 0.928648410553130520, -0.370961089033801980, 0.928577262583738850, - -0.371139148315682570, - 0.928506080473215590, -0.371317193951837540, 0.928434864224177980, - -0.371495225935720760, - 0.928363613839244370, -0.371673244260786520, 0.928292329321034670, - -0.371851248920489490, - 0.928221010672169440, -0.372029239908285010, 0.928149657895271150, - -0.372207217217628840, - 0.928078270992963140, -0.372385180841977360, 0.928006849967869970, - -0.372563130774787250, - 0.927935394822617890, -0.372741067009515760, 0.927863905559833780, - -0.372918989539620830, - 0.927792382182146320, -0.373096898358560640, 0.927720824692185200, - -0.373274793459793970, - 0.927649233092581180, -0.373452674836780300, 0.927577607385966730, - -0.373630542482979280, - 0.927505947574975180, -0.373808396391851210, 0.927434253662241300, - -0.373986236556857030, - 0.927362525650401110, -0.374164062971457930, 0.927290763542091720, - -0.374341875629115920, - 0.927218967339951790, -0.374519674523293210, 0.927147137046620880, - -0.374697459647452600, - 0.927075272664740100, -0.374875230995057540, 0.927003374196951670, - -0.375052988559571920, - 0.926931441645899130, -0.375230732334459920, 0.926859475014227160, - -0.375408462313186590, - 0.926787474304581750, -0.375586178489217220, 0.926715439519610330, - -0.375763880856017700, - 0.926643370661961230, -0.375941569407054420, 0.926571267734284330, - -0.376119244135794340, - 0.926499130739230510, -0.376296905035704790, 0.926426959679452210, - -0.376474552100253770, - 0.926354754557602860, -0.376652185322909560, 0.926282515376337210, - -0.376829804697141280, - 0.926210242138311380, -0.377007410216418260, 0.926137934846182560, - -0.377185001874210450, - 0.926065593502609310, -0.377362579663988340, 0.925993218110251480, - -0.377540143579222940, - 0.925920808671770070, -0.377717693613385640, 0.925848365189827270, - -0.377895229759948490, - 0.925775887667086740, -0.378072752012383990, 0.925703376106213230, - -0.378250260364165200, - 0.925630830509872720, -0.378427754808765560, 0.925558250880732740, - -0.378605235339659120, - 0.925485637221461490, -0.378782701950320540, 0.925412989534729060, - -0.378960154634224720, - 0.925340307823206310, -0.379137593384847320, 0.925267592089565660, - -0.379315018195664430, - 0.925194842336480530, -0.379492429060152630, 0.925122058566625880, - -0.379669825971788940, - 0.925049240782677580, -0.379847208924051160, 0.924976388987313160, - -0.380024577910417270, - 0.924903503183210910, -0.380201932924366050, 0.924830583373050800, - -0.380379273959376600, - 0.924757629559513910, -0.380556601008928520, 0.924684641745282420, - -0.380733914066502140, - 0.924611619933039970, -0.380911213125578070, 0.924538564125471420, - -0.381088498179637520, - 0.924465474325262600, -0.381265769222162380, 0.924392350535101050, - -0.381443026246634730, - 0.924319192757675160, -0.381620269246537360, 0.924246000995674890, - -0.381797498215353640, - 0.924172775251791200, -0.381974713146567220, 0.924099515528716280, - -0.382151914033662610, - 0.924026221829143850, -0.382329100870124510, 0.923952894155768640, - -0.382506273649438230, - 0.923879532511286740, -0.382683432365089780, 0.923806136898395410, - -0.382860577010565420, - 0.923732707319793290, -0.383037707579352020, 0.923659243778179980, - -0.383214824064937180, - 0.923585746276256670, -0.383391926460808660, 0.923512214816725630, - -0.383569014760454910, - 0.923438649402290370, -0.383746088957365010, 0.923365050035655720, - -0.383923149045028390, - 0.923291416719527640, -0.384100195016935040, 0.923217749456613500, - -0.384277226866575510, - 0.923144048249621930, -0.384454244587440820, 0.923070313101262420, - -0.384631248173022580, - 0.922996544014246250, -0.384808237616812880, 0.922922740991285680, - -0.384985212912304200, - 0.922848904035094120, -0.385162174052989860, 0.922775033148386380, - -0.385339121032363340, - 0.922701128333878630, -0.385516053843918850, 0.922627189594287910, - -0.385692972481151140, - 0.922553216932332830, -0.385869876937555310, 0.922479210350733210, - -0.386046767206627170, - 0.922405169852209880, -0.386223643281862980, 0.922331095439485440, - -0.386400505156759440, - 0.922256987115283030, -0.386577352824813920, 0.922182844882327600, - -0.386754186279524180, - 0.922108668743345180, -0.386931005514388580, 0.922034458701062820, - -0.387107810522905990, - 0.921960214758209220, -0.387284601298575840, 0.921885936917513970, - -0.387461377834897870, - 0.921811625181708120, -0.387638140125372730, 0.921737279553523910, - -0.387814888163501180, - 0.921662900035694730, -0.387991621942784860, 0.921588486630955490, - -0.388168341456725740, - 0.921514039342042010, -0.388345046698826250, 0.921439558171691430, - -0.388521737662589570, - 0.921365043122642340, -0.388698414341519190, 0.921290494197634540, - -0.388875076729119250, - 0.921215911399408730, -0.389051724818894380, 0.921141294730707270, - -0.389228358604349730, - 0.921066644194273640, -0.389404978078990940, 0.920991959792852310, - -0.389581583236324300, - 0.920917241529189520, -0.389758174069856410, 0.920842489406032190, - -0.389934750573094730, - 0.920767703426128790, -0.390111312739546910, 0.920692883592229120, - -0.390287860562721190, - 0.920618029907083970, -0.390464394036126590, 0.920543142373445480, - -0.390640913153272430, - 0.920468220994067110, -0.390817417907668500, 0.920393265771703550, - -0.390993908292825380, - 0.920318276709110590, -0.391170384302253870, 0.920243253809045370, - -0.391346845929465560, - 0.920168197074266340, -0.391523293167972410, 0.920093106507533180, - -0.391699726011286940, - 0.920017982111606570, -0.391876144452922350, 0.919942823889248640, - -0.392052548486392090, - 0.919867631843222950, -0.392228938105210310, 0.919792405976293860, - -0.392405313302891690, - 0.919717146291227360, -0.392581674072951470, 0.919641852790790470, - -0.392758020408905280, - 0.919566525477751530, -0.392934352304269490, 0.919491164354880100, - -0.393110669752560760, - 0.919415769424947070, -0.393286972747296400, 0.919340340690724340, - -0.393463261281994330, - 0.919264878154985370, -0.393639535350172880, 0.919189381820504470, - -0.393815794945351020, - 0.919113851690057770, -0.393992040061048100, 0.919038287766422050, - -0.394168270690784080, - 0.918962690052375630, -0.394344486828079600, 0.918887058550697970, - -0.394520688466455600, - 0.918811393264170050, -0.394696875599433560, 0.918735694195573550, - -0.394873048220535760, - 0.918659961347691900, -0.395049206323284770, 0.918584194723309540, - -0.395225349901203670, - 0.918508394325212250, -0.395401478947816350, 0.918432560156186910, - -0.395577593456646840, - 0.918356692219021720, -0.395753693421220080, 0.918280790516506130, - -0.395929778835061250, - 0.918204855051430900, -0.396105849691696270, 0.918128885826588030, - -0.396281905984651520, - 0.918052882844770380, -0.396457947707453910, 0.917976846108772730, - -0.396633974853630830, - 0.917900775621390500, -0.396809987416710310, 0.917824671385420570, - -0.396985985390220900, - 0.917748533403661250, -0.397161968767691610, 0.917672361678911860, - -0.397337937542652060, - 0.917596156213972950, -0.397513891708632330, 0.917519917011646260, - -0.397689831259163180, - 0.917443644074735220, -0.397865756187775750, 0.917367337406043930, - -0.398041666488001770, - 0.917290997008377910, -0.398217562153373560, 0.917214622884544250, - -0.398393443177423980, - 0.917138215037350710, -0.398569309553686300, 0.917061773469606820, - -0.398745161275694430, - 0.916985298184123000, -0.398920998336982910, 0.916908789183710990, - -0.399096820731086540, - 0.916832246471183890, -0.399272628451540990, 0.916755670049355990, - -0.399448421491882140, - 0.916679059921042700, -0.399624199845646790, 0.916602416089060790, - -0.399799963506371980, - 0.916525738556228210, -0.399975712467595330, 0.916449027325364150, - -0.400151446722855130, - 0.916372282399289140, -0.400327166265690090, 0.916295503780824800, - -0.400502871089639500, - 0.916218691472794220, -0.400678561188243240, 0.916141845478021350, - -0.400854236555041650, - 0.916064965799331720, -0.401029897183575620, 0.915988052439551950, - -0.401205543067386710, - 0.915911105401509880, -0.401381174200016790, 0.915834124688034710, - -0.401556790575008540, - 0.915757110301956720, -0.401732392185905010, 0.915680062246107650, - -0.401907979026249700, - 0.915602980523320230, -0.402083551089586990, 0.915525865136428530, - -0.402259108369461490, - 0.915448716088267830, -0.402434650859418430, 0.915371533381674760, - -0.402610178553003680, - 0.915294317019487050, -0.402785691443763530, 0.915217067004543860, - -0.402961189525244900, - 0.915139783339685260, -0.403136672790995300, 0.915062466027752760, - -0.403312141234562550, - 0.914985115071589310, -0.403487594849495310, 0.914907730474038730, - -0.403663033629342640, - 0.914830312237946200, -0.403838457567654070, 0.914752860366158220, - -0.404013866657979890, - 0.914675374861522390, -0.404189260893870690, 0.914597855726887790, - -0.404364640268877810, - 0.914520302965104450, -0.404540004776553000, 0.914442716579023870, - -0.404715354410448650, - 0.914365096571498560, -0.404890689164117580, 0.914287442945382440, - -0.405066009031113340, - 0.914209755703530690, -0.405241314004989860, 0.914132034848799460, - -0.405416604079301630, - 0.914054280384046570, -0.405591879247603870, 0.913976492312130630, - -0.405767139503452060, - 0.913898670635911680, -0.405942384840402510, 0.913820815358251100, - -0.406117615252011840, - 0.913742926482011390, -0.406292830731837360, 0.913665004010056350, - -0.406468031273437000, - 0.913587047945250810, -0.406643216870369030, 0.913509058290461140, - -0.406818387516192310, - 0.913431035048554720, -0.406993543204466510, 0.913352978222400250, - -0.407168683928751550, - 0.913274887814867760, -0.407343809682607970, 0.913196763828828200, - -0.407518920459596920, - 0.913118606267154240, -0.407694016253280110, 0.913040415132719160, - -0.407869097057219800, - 0.912962190428398210, -0.408044162864978690, 0.912883932157067200, - -0.408219213670120100, - 0.912805640321603500, -0.408394249466208000, 0.912727314924885900, - -0.408569270246806780, - 0.912648955969793900, -0.408744276005481360, 0.912570563459208730, - -0.408919266735797430, - 0.912492137396012650, -0.409094242431320980, 0.912413677783089020, - -0.409269203085618590, - 0.912335184623322750, -0.409444148692257590, 0.912256657919599760, - -0.409619079244805670, - 0.912178097674807180, -0.409793994736831150, 0.912099503891833470, - -0.409968895161902880, - 0.912020876573568340, -0.410143780513590240, 0.911942215722902570, - -0.410318650785463260, - 0.911863521342728520, -0.410493505971092410, 0.911784793435939430, - -0.410668346064048730, - 0.911706032005429880, -0.410843171057903910, 0.911627237054095650, - -0.411017980946230210, - 0.911548408584833990, -0.411192775722600160, 0.911469546600543020, - -0.411367555380587220, - 0.911390651104122430, -0.411542319913765220, 0.911311722098472780, - -0.411717069315708560, - 0.911232759586496190, -0.411891803579992170, 0.911153763571095900, - -0.412066522700191560, - 0.911074734055176360, -0.412241226669882890, 0.910995671041643140, - -0.412415915482642730, - 0.910916574533403360, -0.412590589132048210, 0.910837444533365010, - -0.412765247611677270, - 0.910758281044437570, -0.412939890915108080, 0.910679084069531570, - -0.413114519035919450, - 0.910599853611558930, -0.413289131967690960, 0.910520589673432750, - -0.413463729704002410, - 0.910441292258067250, -0.413638312238434500, 0.910361961368377990, - -0.413812879564568300, - 0.910282597007281760, -0.413987431675985400, 0.910203199177696540, - -0.414161968566268080, - 0.910123767882541680, -0.414336490228999100, 0.910044303124737500, - -0.414510996657761750, - 0.909964804907205660, -0.414685487846140010, 0.909885273232869160, - -0.414859963787718330, - 0.909805708104652220, -0.415034424476081630, 0.909726109525480160, - -0.415208869904815590, - 0.909646477498279540, -0.415383300067506230, 0.909566812025978330, - -0.415557714957740410, - 0.909487113111505430, -0.415732114569105360, 0.909407380757791260, - -0.415906498895188770, - 0.909327614967767260, -0.416080867929579210, 0.909247815744366310, - -0.416255221665865480, - 0.909167983090522380, -0.416429560097637150, 0.909088117009170580, - -0.416603883218484350, - 0.909008217503247450, -0.416778191021997650, 0.908928284575690640, - -0.416952483501768170, - 0.908848318229439120, -0.417126760651387870, 0.908768318467432890, - -0.417301022464448890, - 0.908688285292613360, -0.417475268934544290, 0.908608218707923190, - -0.417649500055267410, - 0.908528118716306120, -0.417823715820212270, 0.908447985320707250, - -0.417997916222973550, - 0.908367818524072890, -0.418172101257146320, 0.908287618329350450, - -0.418346270916326260, - 0.908207384739488700, -0.418520425194109700, 0.908127117757437600, - -0.418694564084093560, - 0.908046817386148340, -0.418868687579875050, 0.907966483628573350, - -0.419042795675052370, - 0.907886116487666260, -0.419216888363223910, 0.907805715966381930, - -0.419390965637988890, - 0.907725282067676440, -0.419565027492946880, 0.907644814794507200, - -0.419739073921698180, - 0.907564314149832630, -0.419913104917843620, 0.907483780136612570, - -0.420087120474984530, - 0.907403212757808110, -0.420261120586722880, 0.907322612016381420, - -0.420435105246661170, - 0.907241977915295820, -0.420609074448402510, 0.907161310457516250, - -0.420783028185550520, - 0.907080609646008450, -0.420956966451709440, 0.906999875483739610, - -0.421130889240483970, - 0.906919107973678140, -0.421304796545479640, 0.906838307118793430, - -0.421478688360302280, - 0.906757472922056550, -0.421652564678558330, 0.906676605386439460, - -0.421826425493854910, - 0.906595704514915330, -0.422000270799799680, 0.906514770310458800, - -0.422174100590000770, - 0.906433802776045460, -0.422347914858067050, 0.906352801914652400, - -0.422521713597607820, - 0.906271767729257660, -0.422695496802232950, 0.906190700222840650, - -0.422869264465553060, - 0.906109599398381980, -0.423043016581179040, 0.906028465258863600, - -0.423216753142722610, - 0.905947297807268460, -0.423390474143796050, 0.905866097046580940, - -0.423564179578011960, - 0.905784862979786550, -0.423737869438983840, 0.905703595609872010, - -0.423911543720325580, - 0.905622294939825270, -0.424085202415651560, 0.905540960972635590, - -0.424258845518576950, - 0.905459593711293250, -0.424432473022717420, 0.905378193158790090, - -0.424606084921689110, - 0.905296759318118820, -0.424779681209108810, 0.905215292192273590, - -0.424953261878593890, - 0.905133791784249690, -0.425126826923762360, 0.905052258097043590, - -0.425300376338232640, - 0.904970691133653250, -0.425473910115623800, 0.904889090897077470, - -0.425647428249555590, - 0.904807457390316540, -0.425820930733648240, 0.904725790616371930, - -0.425994417561522400, - 0.904644090578246240, -0.426167888726799620, 0.904562357278943300, - -0.426341344223101830, - 0.904480590721468250, -0.426514784044051520, 0.904398790908827350, - -0.426688208183271860, - 0.904316957844028320, -0.426861616634386430, 0.904235091530079750, - -0.427035009391019680, - 0.904153191969991780, -0.427208386446796320, 0.904071259166775440, - -0.427381747795341770, - 0.903989293123443340, -0.427555093430282080, 0.903907293843009050, - -0.427728423345243800, - 0.903825261328487510, -0.427901737533854080, 0.903743195582894620, - -0.428075035989740730, - 0.903661096609247980, -0.428248318706531960, 0.903578964410566070, - -0.428421585677856650, - 0.903496798989868450, -0.428594836897344400, 0.903414600350176290, - -0.428768072358625070, - 0.903332368494511820, -0.428941292055329490, 0.903250103425898400, - -0.429114495981088750, - 0.903167805147360720, -0.429287684129534610, 0.903085473661924600, - -0.429460856494299490, - 0.903003108972617150, -0.429634013069016380, 0.902920711082466740, - -0.429807153847318710, - 0.902838279994502830, -0.429980278822840620, 0.902755815711756120, - -0.430153387989216870, - 0.902673318237258830, -0.430326481340082610, 0.902590787574043870, - -0.430499558869073820, - 0.902508223725145940, -0.430672620569826800, 0.902425626693600380, - -0.430845666435978660, - 0.902342996482444200, -0.431018696461167030, 0.902260333094715540, - -0.431191710639029950, - 0.902177636533453620, -0.431364708963206330, 0.902094906801698900, - -0.431537691427335500, - 0.902012143902493180, -0.431710658025057260, 0.901929347838879460, - -0.431883608750012250, - 0.901846518613901750, -0.432056543595841500, 0.901763656230605730, - -0.432229462556186720, - 0.901680760692037730, -0.432402365624690140, 0.901597832001245660, - -0.432575252794994650, - 0.901514870161278740, -0.432748124060743700, 0.901431875175186970, - -0.432920979415581280, - 0.901348847046022030, -0.433093818853151960, 0.901265785776836580, - -0.433266642367100940, - 0.901182691370684520, -0.433439449951074090, 0.901099563830620950, - -0.433612241598717580, - 0.901016403159702330, -0.433785017303678520, 0.900933209360986200, - -0.433957777059604420, - 0.900849982437531450, -0.434130520860143310, 0.900766722392397860, - -0.434303248698943990, - 0.900683429228646970, -0.434475960569655650, 0.900600102949340900, - -0.434648656465928320, - 0.900516743557543520, -0.434821336381412290, 0.900433351056319830, - -0.434994000309758710, - 0.900349925448735600, -0.435166648244619260, 0.900266466737858480, - -0.435339280179646070, - 0.900182974926756810, -0.435511896108492000, 0.900099450018500450, - -0.435684496024810460, - 0.900015892016160280, -0.435857079922255470, 0.899932300922808510, - -0.436029647794481560, - 0.899848676741518580, -0.436202199635143950, 0.899765019475365140, - -0.436374735437898340, - 0.899681329127423930, -0.436547255196401200, 0.899597605700772180, - -0.436719758904309360, - 0.899513849198487980, -0.436892246555280360, 0.899430059623650860, - -0.437064718142972370, - 0.899346236979341570, -0.437237173661044090, 0.899262381268642000, - -0.437409613103154790, - 0.899178492494635330, -0.437582036462964400, 0.899094570660405770, - -0.437754443734133410, - 0.899010615769039070, -0.437926834910322860, 0.898926627823621870, - -0.438099209985194470, - 0.898842606827242370, -0.438271568952410430, 0.898758552782989440, - -0.438443911805633690, - 0.898674465693953820, -0.438616238538527660, 0.898590345563227030, - -0.438788549144756290, - 0.898506192393901950, -0.438960843617984320, 0.898422006189072530, - -0.439133121951876930, - 0.898337786951834310, -0.439305384140099950, 0.898253534685283570, - -0.439477630176319800, - 0.898169249392518080, -0.439649860054203480, 0.898084931076636780, - -0.439822073767418500, - 0.898000579740739880, -0.439994271309633260, 0.897916195387928660, - -0.440166452674516320, - 0.897831778021305650, -0.440338617855737250, 0.897747327643974690, - -0.440510766846965940, - 0.897662844259040860, -0.440682899641872900, 0.897578327869610230, - -0.440855016234129430, - 0.897493778478790310, -0.441027116617407230, 0.897409196089689720, - -0.441199200785378660, - 0.897324580705418320, -0.441371268731716670, 0.897239932329087160, - -0.441543320450094870, - 0.897155250963808550, -0.441715355934187310, 0.897070536612695870, - -0.441887375177668850, - 0.896985789278863970, -0.442059378174214700, 0.896901008965428790, - -0.442231364917500980, - 0.896816195675507300, -0.442403335401204080, 0.896731349412217880, - -0.442575289619001170, - 0.896646470178680150, -0.442747227564570020, 0.896561557978014960, - -0.442919149231588980, - 0.896476612813344120, -0.443091054613736880, 0.896391634687790820, - -0.443262943704693320, - 0.896306623604479550, -0.443434816498138480, 0.896221579566536030, - -0.443606672987752970, - 0.896136502577086770, -0.443778513167218220, 0.896051392639260150, - -0.443950337030216140, - 0.895966249756185220, -0.444122144570429200, 0.895881073930992370, - -0.444293935781540580, - 0.895795865166813530, -0.444465710657234000, 0.895710623466781320, - -0.444637469191193790, - 0.895625348834030110, -0.444809211377104880, 0.895540041271694950, - -0.444980937208652730, - 0.895454700782912450, -0.445152646679523640, 0.895369327370820310, - -0.445324339783404190, - 0.895283921038557580, -0.445496016513981740, 0.895198481789264200, - -0.445667676864944300, - 0.895113009626081760, -0.445839320829980290, 0.895027504552152630, - -0.446010948402778940, - 0.894941966570620750, -0.446182559577030070, 0.894856395684631050, - -0.446354154346423840, - 0.894770791897329550, -0.446525732704651350, 0.894685155211863980, - -0.446697294645404090, - 0.894599485631382700, -0.446868840162374160, 0.894513783159035620, - -0.447040369249254440, - 0.894428047797973800, -0.447211881899738320, 0.894342279551349480, - -0.447383378107519600, - 0.894256478422316040, -0.447554857866293010, 0.894170644414028270, - -0.447726321169753580, - 0.894084777529641990, -0.447897768011597310, 0.893998877772314240, - -0.448069198385520400, - 0.893912945145203250, -0.448240612285219890, 0.893826979651468620, - -0.448412009704393430, - 0.893740981294271040, -0.448583390636739240, 0.893654950076772540, - -0.448754755075955970, - 0.893568886002135910, -0.448926103015743260, 0.893482789073525850, - -0.449097434449801050, - 0.893396659294107720, -0.449268749371829920, 0.893310496667048200, - -0.449440047775531150, - 0.893224301195515320, -0.449611329654606540, 0.893138072882678320, - -0.449782595002758690, - 0.893051811731707450, -0.449953843813690520, 0.892965517745774370, - -0.450125076081105690, - 0.892879190928051680, -0.450296291798708610, 0.892792831281713610, - -0.450467490960204110, - 0.892706438809935390, -0.450638673559297600, 0.892620013515893150, - -0.450809839589695280, - 0.892533555402764580, -0.450980989045103860, 0.892447064473728680, - -0.451152121919230600, - 0.892360540731965360, -0.451323238205783520, 0.892273984180655840, - -0.451494337898471100, - 0.892187394822982480, -0.451665420991002490, 0.892100772662129060, - -0.451836487477087490, - 0.892014117701280470, -0.452007537350436420, 0.891927429943622510, - -0.452178570604760350, - 0.891840709392342720, -0.452349587233770890, 0.891753956050629460, - -0.452520587231180050, - 0.891667169921672280, -0.452691570590700920, 0.891580351008662290, - -0.452862537306046750, - 0.891493499314791380, -0.453033487370931580, 0.891406614843252900, - -0.453204420779070190, - 0.891319697597241390, -0.453375337524177750, 0.891232747579952520, - -0.453546237599970090, - 0.891145764794583180, -0.453717121000163870, 0.891058749244331590, - -0.453887987718476050, - 0.890971700932396860, -0.454058837748624430, 0.890884619861979530, - -0.454229671084327320, - 0.890797506036281490, -0.454400487719303580, 0.890710359458505630, - -0.454571287647272950, - 0.890623180131855930, -0.454742070861955450, 0.890535968059537830, - -0.454912837357071940, - 0.890448723244757880, -0.455083587126343840, 0.890361445690723840, - -0.455254320163493100, - 0.890274135400644600, -0.455425036462242360, 0.890186792377730240, - -0.455595736016314980, - 0.890099416625192320, -0.455766418819434640, 0.890012008146243260, - -0.455937084865326030, - 0.889924566944096720, -0.456107734147714110, 0.889837093021967900, - -0.456278366660324620, - 0.889749586383072780, -0.456448982396883920, 0.889662047030628900, - -0.456619581351118910, - 0.889574474967854580, -0.456790163516757160, 0.889486870197969900, - -0.456960728887526980, - 0.889399232724195520, -0.457131277457156980, 0.889311562549753850, - -0.457301809219376630, - 0.889223859677868210, -0.457472324167916060, 0.889136124111763240, - -0.457642822296505770, - 0.889048355854664570, -0.457813303598877170, 0.888960554909799310, - -0.457983768068762120, - 0.888872721280395630, -0.458154215699893060, 0.888784854969682850, - -0.458324646486003240, - 0.888696955980891600, -0.458495060420826270, 0.888609024317253860, - -0.458665457498096560, - 0.888521059982002260, -0.458835837711549120, 0.888433062978371320, - -0.459006201054919630, - 0.888345033309596350, -0.459176547521944090, 0.888256970978913870, - -0.459346877106359630, - 0.888168875989561730, -0.459517189801903480, 0.888080748344778900, - -0.459687485602313870, - 0.887992588047805560, -0.459857764501329540, 0.887904395101883240, - -0.460028026492689650, - 0.887816169510254440, -0.460198271570134320, 0.887727911276163020, - -0.460368499727404010, - 0.887639620402853930, -0.460538710958240010, 0.887551296893573370, - -0.460708905256384080, - 0.887462940751568840, -0.460879082615578690, 0.887374551980088850, - -0.461049243029566900, - 0.887286130582383150, -0.461219386492092380, 0.887197676561702900, - -0.461389512996899450, - 0.887109189921300170, -0.461559622537733080, 0.887020670664428360, - -0.461729715108338770, - 0.886932118794342190, -0.461899790702462730, 0.886843534314297410, - -0.462069849313851750, - 0.886754917227550840, -0.462239890936253340, 0.886666267537361000, - -0.462409915563415430, - 0.886577585246987040, -0.462579923189086810, 0.886488870359689600, - -0.462749913807016740, - 0.886400122878730600, -0.462919887410955080, 0.886311342807372780, - -0.463089843994652530, - 0.886222530148880640, -0.463259783551860150, 0.886133684906519340, - -0.463429706076329830, - 0.886044807083555600, -0.463599611561814010, 0.885955896683257030, - -0.463769500002065630, - 0.885866953708892790, -0.463939371390838520, 0.885777978163732940, - -0.464109225721886950, - 0.885688970051048960, -0.464279062988965760, 0.885599929374113360, - -0.464448883185830660, - 0.885510856136199950, -0.464618686306237820, 0.885421750340583680, - -0.464788472343943990, - 0.885332611990540590, -0.464958241292706690, 0.885243441089348270, - -0.465127993146283950, - 0.885154237640285110, -0.465297727898434600, 0.885065001646630930, - -0.465467445542917800, - 0.884975733111666660, -0.465637146073493660, 0.884886432038674560, - -0.465806829483922710, - 0.884797098430937790, -0.465976495767966180, 0.884707732291741040, - -0.466146144919385890, - 0.884618333624369920, -0.466315776931944430, 0.884528902432111460, - -0.466485391799404900, - 0.884439438718253810, -0.466654989515530920, 0.884349942486086120, - -0.466824570074086950, - 0.884260413738899190, -0.466994133468838000, 0.884170852479984500, - -0.467163679693549770, - 0.884081258712634990, -0.467333208741988420, 0.883991632440144890, - -0.467502720607920920, - 0.883901973665809470, -0.467672215285114770, 0.883812282392925090, - -0.467841692767338170, - 0.883722558624789660, -0.468011153048359830, 0.883632802364701870, - -0.468180596121949290, - 0.883543013615961880, -0.468350021981876530, 0.883453192381870920, - -0.468519430621912310, - 0.883363338665731580, -0.468688822035827900, 0.883273452470847430, - -0.468858196217395330, - 0.883183533800523390, -0.469027553160387130, 0.883093582658065370, - -0.469196892858576580, - 0.883003599046780830, -0.469366215305737520, 0.882913582969978020, - -0.469535520495644450, - 0.882823534430966620, -0.469704808422072460, 0.882733453433057650, - -0.469874079078797360, - 0.882643339979562790, -0.470043332459595620, 0.882553194073795510, - -0.470212568558244170, - 0.882463015719070150, -0.470381787368520650, 0.882372804918702290, - -0.470550988884203550, - 0.882282561676008710, -0.470720173099071600, 0.882192285994307430, - -0.470889340006904520, - 0.882101977876917580, -0.471058489601482500, 0.882011637327159590, - -0.471227621876586340, - 0.881921264348355050, -0.471396736825997640, 0.881830858943826620, - -0.471565834443498420, - 0.881740421116898320, -0.471734914722871430, 0.881649950870895260, - -0.471903977657900210, - 0.881559448209143780, -0.472073023242368660, 0.881468913134971440, - -0.472242051470061490, - 0.881378345651706920, -0.472411062334764040, 0.881287745762680100, - -0.472580055830262250, - 0.881197113471222090, -0.472749031950342790, 0.881106448780665130, - -0.472917990688792760, - 0.881015751694342870, -0.473086932039400050, 0.880925022215589880, - -0.473255855995953320, - 0.880834260347742040, -0.473424762552241530, 0.880743466094136340, - -0.473593651702054530, - 0.880652639458111010, -0.473762523439182850, 0.880561780443005700, - -0.473931377757417450, - 0.880470889052160750, -0.474100214650549970, 0.880379965288918150, - -0.474269034112372980, - 0.880289009156621010, -0.474437836136679230, 0.880198020658613190, - -0.474606620717262560, - 0.880106999798240360, -0.474775387847917120, 0.880015946578849070, - -0.474944137522437800, - 0.879924861003786860, -0.475112869734620300, 0.879833743076402940, - -0.475281584478260740, - 0.879742592800047410, -0.475450281747155870, 0.879651410178071580, - -0.475618961535103300, - 0.879560195213827890, -0.475787623835901120, 0.879468947910670210, - -0.475956268643348060, - 0.879377668271953290, -0.476124895951243580, 0.879286356301033250, - -0.476293505753387690, - 0.879195012001267480, -0.476462098043581190, 0.879103635376014330, - -0.476630672815625320, - 0.879012226428633530, -0.476799230063322090, 0.878920785162485840, - -0.476967769780474170, - 0.878829311580933360, -0.477136291960884810, 0.878737805687339390, - -0.477304796598357890, - 0.878646267485068130, -0.477473283686698060, 0.878554696977485450, - -0.477641753219710470, - 0.878463094167957870, -0.477810205191200990, 0.878371459059853480, - -0.477978639594976160, - 0.878279791656541580, -0.478147056424843010, 0.878188091961392250, - -0.478315455674609480, - 0.878096359977777130, -0.478483837338083970, 0.878004595709069080, - -0.478652201409075500, - 0.877912799158641840, -0.478820547881393890, 0.877820970329870500, - -0.478988876748849490, - 0.877729109226131570, -0.479157188005253310, 0.877637215850802230, - -0.479325481644417070, - 0.877545290207261350, -0.479493757660153010, 0.877453332298888560, - -0.479662016046274180, - 0.877361342129065140, -0.479830256796594190, 0.877269319701173170, - -0.479998479904927280, - 0.877177265018595940, -0.480166685365088390, 0.877085178084718420, - -0.480334873170893020, - 0.876993058902925890, -0.480503043316157510, 0.876900907476605650, - -0.480671195794698640, - 0.876808723809145650, -0.480839330600333960, 0.876716507903935400, - -0.481007447726881590, - 0.876624259764365310, -0.481175547168160300, 0.876531979393827100, - -0.481343628917989710, - 0.876439666795713610, -0.481511692970189860, 0.876347321973419020, - -0.481679739318581490, - 0.876254944930338510, -0.481847767956986030, 0.876162535669868460, - -0.482015778879225590, - 0.876070094195406600, -0.482183772079122720, 0.875977620510351770, - -0.482351747550500980, - 0.875885114618103810, -0.482519705287184350, 0.875792576522063880, - -0.482687645282997460, - 0.875700006225634600, -0.482855567531765670, 0.875607403732219350, - -0.483023472027314880, - 0.875514769045222850, -0.483191358763471860, 0.875422102168050940, - -0.483359227734063810, - 0.875329403104110890, -0.483527078932918740, 0.875236671856810870, - -0.483694912353865140, - 0.875143908429560360, -0.483862727990732270, 0.875051112825769970, - -0.484030525837350010, - 0.874958285048851650, -0.484198305887549030, 0.874865425102218320, - -0.484366068135160420, - 0.874772532989284150, -0.484533812574016180, 0.874679608713464510, - -0.484701539197948670, - 0.874586652278176110, -0.484869248000791060, 0.874493663686836560, - -0.485036938976377290, - 0.874400642942864790, -0.485204612118541820, 0.874307590049680950, - -0.485372267421119770, - 0.874214505010706300, -0.485539904877946960, 0.874121387829363330, - -0.485707524482859750, - 0.874028238509075740, -0.485875126229695250, 0.873935057053268240, - -0.486042710112291330, - 0.873841843465366860, -0.486210276124486420, 0.873748597748798870, - -0.486377824260119440, - 0.873655319906992630, -0.486545354513030270, 0.873562009943377850, - -0.486712866877059170, - 0.873468667861384880, -0.486880361346047340, 0.873375293664446000, - -0.487047837913836380, - 0.873281887355994210, -0.487215296574268760, 0.873188448939463790, - -0.487382737321187360, - 0.873094978418290090, -0.487550160148436000, 0.873001475795909920, - -0.487717565049858800, - 0.872907941075761080, -0.487884952019301040, 0.872814374261282390, - -0.488052321050608250, - 0.872720775355914300, -0.488219672137626790, 0.872627144363097960, - -0.488387005274203530, - 0.872533481286276170, -0.488554320454186180, 0.872439786128892280, - -0.488721617671423080, - 0.872346058894391540, -0.488888896919763170, 0.872252299586219860, - -0.489056158193056030, - 0.872158508207824480, -0.489223401485151980, 0.872064684762653860, - -0.489390626789901920, - 0.871970829254157810, -0.489557834101157440, 0.871876941685786890, - -0.489725023412770910, - 0.871783022060993120, -0.489892194718595190, 0.871689070383229740, - -0.490059348012483850, - 0.871595086655950980, -0.490226483288291160, 0.871501070882612530, - -0.490393600539871970, - 0.871407023066670950, -0.490560699761082020, 0.871312943211584030, - -0.490727780945777400, - 0.871218831320811020, -0.490894844087815090, 0.871124687397811900, - -0.491061889181052650, - 0.871030511446048260, -0.491228916219348280, 0.870936303468982760, - -0.491395925196560780, - 0.870842063470078980, -0.491562916106549900, 0.870747791452801790, - -0.491729888943175760, - 0.870653487420617430, -0.491896843700299290, 0.870559151376993250, - -0.492063780371782000, - 0.870464783325397670, -0.492230698951486020, 0.870370383269300270, - -0.492397599433274380, - 0.870275951212171940, -0.492564481811010590, 0.870181487157484560, - -0.492731346078558840, - 0.870086991108711460, -0.492898192229784040, 0.869992463069326870, - -0.493065020258551700, - 0.869897903042806340, -0.493231830158727900, 0.869803311032626650, - -0.493398621924179770, - 0.869708687042265670, -0.493565395548774770, 0.869614031075202300, - -0.493732151026381020, - 0.869519343134916860, -0.493898888350867480, 0.869424623224890890, - -0.494065607516103570, - 0.869329871348606840, -0.494232308515959670, 0.869235087509548370, - -0.494398991344306650, - 0.869140271711200560, -0.494565655995015950, 0.869045423957049530, - -0.494732302461959870, - 0.868950544250582380, -0.494898930739011260, 0.868855632595287860, - -0.495065540820043560, - 0.868760688994655310, -0.495232132698931180, 0.868665713452175690, - -0.495398706369549020, - 0.868570705971340900, -0.495565261825772540, 0.868475666555644120, - -0.495731799061477960, - 0.868380595208579800, -0.495898318070542190, 0.868285491933643350, - -0.496064818846842890, - 0.868190356734331310, -0.496231301384258250, 0.868095189614141670, - -0.496397765676667160, - 0.867999990576573510, -0.496564211717949290, 0.867904759625126920, - -0.496730639501984760, - 0.867809496763303320, -0.496897049022654470, 0.867714201994605140, - -0.497063440273840250, - 0.867618875322536230, -0.497229813249424220, 0.867523516750601460, - -0.497396167943289280, - 0.867428126282306920, -0.497562504349319150, 0.867332703921159800, - -0.497728822461397940, - 0.867237249670668400, -0.497895122273410870, 0.867141763534342470, - -0.498061403779243410, - 0.867046245515692650, -0.498227666972781870, 0.866950695618230900, - -0.498393911847913210, - 0.866855113845470430, -0.498560138398525140, 0.866759500200925400, - -0.498726346618505900, - 0.866663854688111130, -0.498892536501744590, 0.866568177310544470, - -0.499058708042130870, - 0.866472468071743050, -0.499224861233555080, 0.866376726975225830, - -0.499390996069908170, - 0.866280954024512990, -0.499557112545081840, 0.866185149223125840, - -0.499723210652968540, - 0.866089312574586770, -0.499889290387461330, 0.865993444082419520, - -0.500055351742453860, - 0.865897543750148820, -0.500221394711840680, 0.865801611581300760, - -0.500387419289516580, - 0.865705647579402380, -0.500553425469377420, 0.865609651747981990, - -0.500719413245319880, - 0.865513624090569090, -0.500885382611240710, 0.865417564610694410, - -0.501051333561038040, - 0.865321473311889800, -0.501217266088609950, 0.865225350197688200, - -0.501383180187855770, - 0.865129195271623800, -0.501549075852675390, 0.865033008537231860, - -0.501714953076969120, - 0.864936789998049020, -0.501880811854638290, 0.864840539657612870, - -0.502046652179584660, - 0.864744257519462380, -0.502212474045710790, 0.864647943587137480, - -0.502378277446919760, - 0.864551597864179340, -0.502544062377115690, 0.864455220354130360, - -0.502709828830202990, - 0.864358811060534030, -0.502875576800086990, 0.864262369986934950, - -0.503041306280673450, - 0.864165897136879300, -0.503207017265868920, 0.864069392513913790, - -0.503372709749581040, - 0.863972856121586810, -0.503538383725717580, 0.863876287963447510, - -0.503704039188187070, - 0.863779688043046720, -0.503869676130898950, 0.863683056363935830, - -0.504035294547763190, - 0.863586392929668100, -0.504200894432690340, 0.863489697743797140, - -0.504366475779592040, - 0.863392970809878420, -0.504532038582380270, 0.863296212131468230, - -0.504697582834967570, - 0.863199421712124160, -0.504863108531267590, 0.863102599555404910, - -0.505028615665194080, - 0.863005745664870320, -0.505194104230662240, 0.862908860044081400, - -0.505359574221587280, - 0.862811942696600330, -0.505525025631885390, 0.862714993625990690, - -0.505690458455473450, - 0.862618012835816740, -0.505855872686268860, 0.862521000329644520, - -0.506021268318189720, - 0.862423956111040610, -0.506186645345155230, 0.862326880183573060, - -0.506352003761084800, - 0.862229772550811240, -0.506517343559898530, 0.862132633216325380, - -0.506682664735517600, - 0.862035462183687210, -0.506847967281863210, 0.861938259456469290, - -0.507013251192858230, - 0.861841025038245330, -0.507178516462425180, 0.861743758932590700, - -0.507343763084487920, - 0.861646461143081300, -0.507508991052970870, 0.861549131673294720, - -0.507674200361798890, - 0.861451770526809320, -0.507839391004897720, 0.861354377707204910, - -0.508004562976194010, - 0.861256953218062170, -0.508169716269614600, 0.861159497062963350, - -0.508334850879087360, - 0.861062009245491480, -0.508499966798540930, 0.860964489769231010, - -0.508665064021904030, - 0.860866938637767310, -0.508830142543106990, 0.860769355854687170, - -0.508995202356080090, - 0.860671741423578380, -0.509160243454754640, 0.860574095348029980, - -0.509325265833062480, - 0.860476417631632070, -0.509490269484936360, 0.860378708277976130, - -0.509655254404309250, - 0.860280967290654510, -0.509820220585115450, 0.860183194673260990, - -0.509985168021289460, - 0.860085390429390140, -0.510150096706766810, 0.859987554562638200, - -0.510315006635483240, - 0.859889687076602290, -0.510479897801375700, 0.859791787974880650, - -0.510644770198381610, - 0.859693857261072610, -0.510809623820439040, 0.859595894938779080, - -0.510974458661486830, - 0.859497901011601730, -0.511139274715464390, 0.859399875483143450, - -0.511304071976312000, - 0.859301818357008470, -0.511468850437970300, 0.859203729636801920, - -0.511633610094381240, - 0.859105609326130450, -0.511798350939486890, 0.859007457428601520, - -0.511963072967230200, - 0.858909273947823900, -0.512127776171554690, 0.858811058887407610, - -0.512292460546404870, - 0.858712812250963520, -0.512457126085725690, 0.858614534042104190, - -0.512621772783462990, - 0.858516224264442740, -0.512786400633562960, 0.858417882921593930, - -0.512951009629972980, - 0.858319510017173440, -0.513115599766640560, 0.858221105554798250, - -0.513280171037514220, - 0.858122669538086140, -0.513444723436543460, 0.858024201970656540, - -0.513609256957677780, - 0.857925702856129790, -0.513773771594868030, 0.857827172198127430, - -0.513938267342065380, - 0.857728610000272120, -0.514102744193221660, 0.857630016266187620, - -0.514267202142289710, - 0.857531390999499150, -0.514431641183222820, 0.857432734203832700, - -0.514596061309975040, - 0.857334045882815590, -0.514760462516501200, 0.857235326040076460, - -0.514924844796756490, - 0.857136574679244980, -0.515089208144697160, 0.857037791803951680, - -0.515253552554280180, - 0.856938977417828760, -0.515417878019462930, 0.856840131524509220, - -0.515582184534203790, - 0.856741254127627470, -0.515746472092461380, 0.856642345230818840, - -0.515910740688195650, - 0.856543404837719960, -0.516074990315366630, 0.856444432951968590, - -0.516239220967935510, - 0.856345429577203610, -0.516403432639863990, 0.856246394717065210, - -0.516567625325114350, - 0.856147328375194470, -0.516731799017649870, 0.856048230555233940, - -0.516895953711434150, - 0.855949101260826910, -0.517060089400431910, 0.855849940495618240, - -0.517224206078608310, - 0.855750748263253920, -0.517388303739929060, 0.855651524567380690, - -0.517552382378360880, - 0.855552269411646860, -0.517716441987871150, 0.855452982799701830, - -0.517880482562427690, - 0.855353664735196030, -0.518044504095999340, 0.855254315221780970, - -0.518208506582555460, - 0.855154934263109620, -0.518372490016066110, 0.855055521862835950, - -0.518536454390502220, - 0.854956078024614930, -0.518700399699834950, 0.854856602752102850, - -0.518864325938036890, - 0.854757096048957220, -0.519028233099080860, 0.854657557918836460, - -0.519192121176940250, - 0.854557988365400530, -0.519355990165589640, 0.854458387392310170, - -0.519519840059003760, - 0.854358755003227440, -0.519683670851158410, 0.854259091201815530, - -0.519847482536030190, - 0.854159395991738850, -0.520011275107596040, 0.854059669376662780, - -0.520175048559833760, - 0.853959911360254180, -0.520338802886721960, 0.853860121946180770, - -0.520502538082239670, - 0.853760301138111410, -0.520666254140367160, 0.853660448939716380, - -0.520829951055084670, - 0.853560565354666840, -0.520993628820373920, 0.853460650386635320, - -0.521157287430216610, - 0.853360704039295430, -0.521320926878595660, 0.853260726316321880, - -0.521484547159494330, - 0.853160717221390420, -0.521648148266897090, 0.853060676758178320, - -0.521811730194788550, - 0.852960604930363630, -0.521975292937154390, 0.852860501741625750, - -0.522138836487980760, - 0.852760367195645300, -0.522302360841254590, 0.852660201296103760, - -0.522465865990963780, - 0.852560004046684080, -0.522629351931096610, 0.852459775451070100, - -0.522792818655642090, - 0.852359515512947090, -0.522956266158590140, 0.852259224236001090, - -0.523119694433931250, - 0.852158901623919830, -0.523283103475656430, 0.852058547680391690, - -0.523446493277757830, - 0.851958162409106380, -0.523609863834227920, 0.851857745813754840, - -0.523773215139060170, - 0.851757297898029120, -0.523936547186248600, 0.851656818665622370, - -0.524099859969787700, - 0.851556308120228980, -0.524263153483673360, 0.851455766265544310, - -0.524426427721901400, - 0.851355193105265200, -0.524589682678468950, 0.851254588643089120, - -0.524752918347373360, - 0.851153952882715340, -0.524916134722613000, 0.851053285827843790, - -0.525079331798186780, - 0.850952587482175730, -0.525242509568094710, 0.850851857849413530, - -0.525405668026336930, - 0.850751096933260790, -0.525568807166914680, 0.850650304737422090, - -0.525731926983829760, - 0.850549481265603480, -0.525895027471084630, 0.850448626521511760, - -0.526058108622682760, - 0.850347740508854980, -0.526221170432628060, 0.850246823231342710, - -0.526384212894925100, - 0.850145874692685210, -0.526547236003579440, 0.850044894896594180, - -0.526710239752597010, - 0.849943883846782210, -0.526873224135984590, 0.849842841546963320, - -0.527036189147750080, - 0.849741768000852550, -0.527199134781901280, 0.849640663212165910, - -0.527362061032447540, - 0.849539527184620890, -0.527524967893398200, 0.849438359921936060, - -0.527687855358763720, - 0.849337161427830780, -0.527850723422555230, 0.849235931706025960, - -0.528013572078784630, - 0.849134670760243630, -0.528176401321464370, 0.849033378594206800, - -0.528339211144607690, - 0.848932055211639610, -0.528502001542228480, 0.848830700616267530, - -0.528664772508341320, - 0.848729314811817130, -0.528827524036961870, 0.848627897802015860, - -0.528990256122106040, - 0.848526449590592650, -0.529152968757790610, 0.848424970181277600, - -0.529315661938033260, - 0.848323459577801640, -0.529478335656851980, 0.848221917783896990, - -0.529640989908265910, - 0.848120344803297230, -0.529803624686294610, 0.848018740639736810, - -0.529966239984958620, - 0.847917105296951410, -0.530128835798278960, 0.847815438778677930, - -0.530291412120277310, - 0.847713741088654380, -0.530453968944976320, 0.847612012230619660, - -0.530616506266399330, - 0.847510252208314330, -0.530779024078570140, 0.847408461025479730, - -0.530941522375513620, - 0.847306638685858320, -0.531104001151255000, 0.847204785193194090, - -0.531266460399820390, - 0.847102900551231500, -0.531428900115236800, 0.847000984763716880, - -0.531591320291531670, - 0.846899037834397240, -0.531753720922733320, 0.846797059767020910, - -0.531916102002870650, - 0.846695050565337450, -0.532078463525973540, 0.846593010233097190, - -0.532240805486072220, - 0.846490938774052130, -0.532403127877197900, 0.846388836191954930, - -0.532565430693382580, - 0.846286702490559710, -0.532727713928658810, 0.846184537673621560, - -0.532889977577059800, - 0.846082341744897050, -0.533052221632619450, 0.845980114708143270, - -0.533214446089372960, - 0.845877856567119000, -0.533376650941355330, 0.845775567325584010, - -0.533538836182603120, - 0.845673246987299070, -0.533701001807152960, 0.845570895556026270, - -0.533863147809042650, - 0.845468513035528830, -0.534025274182310380, 0.845366099429570970, - -0.534187380920995380, - 0.845263654741918220, -0.534349468019137520, 0.845161178976337140, - -0.534511535470777120, - 0.845058672136595470, -0.534673583269955510, 0.844956134226462210, - -0.534835611410714560, - 0.844853565249707120, -0.534997619887097150, 0.844750965210101510, - -0.535159608693146600, - 0.844648334111417820, -0.535321577822907120, 0.844545671957429240, - -0.535483527270423370, - 0.844442978751910660, -0.535645457029741090, 0.844340254498637590, - -0.535807367094906390, - 0.844237499201387020, -0.535969257459966710, 0.844134712863936930, - -0.536131128118969460, - 0.844031895490066410, -0.536292979065963180, 0.843929047083555870, - -0.536454810294997090, - 0.843826167648186740, -0.536616621800121040, 0.843723257187741660, - -0.536778413575385920, - 0.843620315706004150, -0.536940185614842910, 0.843517343206759200, - -0.537101937912544130, - 0.843414339693792760, -0.537263670462542530, 0.843311305170892140, - -0.537425383258891550, - 0.843208239641845440, -0.537587076295645390, 0.843105143110442160, - -0.537748749566859360, - 0.843002015580472940, -0.537910403066588880, 0.842898857055729310, - -0.538072036788890600, - 0.842795667540004120, -0.538233650727821700, 0.842692447037091670, - -0.538395244877439950, - 0.842589195550786710, -0.538556819231804100, 0.842485913084885630, - -0.538718373784973560, - 0.842382599643185850, -0.538879908531008420, 0.842279255229485990, - -0.539041423463969440, - 0.842175879847585570, -0.539202918577918240, 0.842072473501285560, - -0.539364393866917040, - 0.841969036194387680, -0.539525849325028890, 0.841865567930695340, - -0.539687284946317570, - 0.841762068714012490, -0.539848700724847590, 0.841658538548144760, - -0.540010096654684020, - 0.841554977436898440, -0.540171472729892850, 0.841451385384081260, - -0.540332828944540710, - 0.841347762393501950, -0.540494165292695230, 0.841244108468970580, - -0.540655481768424150, - 0.841140423614298080, -0.540816778365796670, 0.841036707833296650, - -0.540978055078882080, - 0.840932961129779780, -0.541139311901750800, 0.840829183507561640, - -0.541300548828474120, - 0.840725374970458070, -0.541461765853123440, 0.840621535522285690, - -0.541622962969771530, - 0.840517665166862550, -0.541784140172491550, 0.840413763908007480, - -0.541945297455357360, - 0.840309831749540770, -0.542106434812443920, 0.840205868695283580, - -0.542267552237826520, - 0.840101874749058400, -0.542428649725581250, 0.839997849914688840, - -0.542589727269785270, - 0.839893794195999520, -0.542750784864515890, 0.839789707596816370, - -0.542911822503851730, - 0.839685590120966110, -0.543072840181871740, 0.839581441772277120, - -0.543233837892655890, - 0.839477262554578550, -0.543394815630284800, 0.839373052471700690, - -0.543555773388839540, - 0.839268811527475230, -0.543716711162402280, 0.839164539725734680, - -0.543877628945055980, - 0.839060237070312740, -0.544038526730883820, 0.838955903565044460, - -0.544199404513970310, - 0.838851539213765760, -0.544360262288400400, 0.838747144020313920, - -0.544521100048259600, - 0.838642717988527300, -0.544681917787634530, 0.838538261122245280, - -0.544842715500612360, - 0.838433773425308340, -0.545003493181281160, 0.838329254901558300, - -0.545164250823729320, - 0.838224705554838080, -0.545324988422046460, 0.838120125388991500, - -0.545485705970322530, - 0.838015514407863820, -0.545646403462648590, 0.837910872615301170, - -0.545807080893116140, - 0.837806200015150940, -0.545967738255817570, 0.837701496611261700, - -0.546128375544845950, - 0.837596762407483040, -0.546288992754295210, 0.837491997407665890, - -0.546449589878259650, - 0.837387201615661940, -0.546610166910834860, 0.837282375035324320, - -0.546770723846116800, - 0.837177517670507300, -0.546931260678202190, 0.837072629525066000, - -0.547091777401188530, - 0.836967710602857020, -0.547252274009174090, 0.836862760907737920, - -0.547412750496257930, - 0.836757780443567190, -0.547573206856539760, 0.836652769214204950, - -0.547733643084120090, - 0.836547727223512010, -0.547894059173100190, 0.836442654475350380, - -0.548054455117581880, - 0.836337550973583530, -0.548214830911667780, 0.836232416722075600, - -0.548375186549461600, - 0.836127251724692270, -0.548535522025067390, 0.836022055985299880, - -0.548695837332590090, - 0.835916829507766360, -0.548856132466135290, 0.835811572295960700, - -0.549016407419809390, - 0.835706284353752600, -0.549176662187719660, 0.835600965685013410, - -0.549336896763974010, - 0.835495616293615350, -0.549497111142680960, 0.835390236183431890, - -0.549657305317949870, - 0.835284825358337370, -0.549817479283890910, 0.835179383822207690, - -0.549977633034614890, - 0.835073911578919410, -0.550137766564233630, 0.834968408632350450, - -0.550297879866859190, - 0.834862874986380010, -0.550457972936604810, 0.834757310644888230, - -0.550618045767584330, - 0.834651715611756440, -0.550778098353912120, 0.834546089890866870, - -0.550938130689703880, - 0.834440433486103190, -0.551098142769075430, 0.834334746401350080, - -0.551258134586143590, - 0.834229028640493420, -0.551418106135026060, 0.834123280207420100, - -0.551578057409841000, - 0.834017501106018130, -0.551737988404707340, 0.833911691340176840, - -0.551897899113745210, - 0.833805850913786340, -0.552057789531074980, 0.833699979830738290, - -0.552217659650817930, - 0.833594078094925140, -0.552377509467096070, 0.833488145710240770, - -0.552537338974032120, - 0.833382182680579730, -0.552697148165749770, 0.833276189009838240, - -0.552856937036373290, - 0.833170164701913190, -0.553016705580027470, 0.833064109760702890, - -0.553176453790838350, - 0.832958024190106670, -0.553336181662932300, 0.832851907994025090, - -0.553495889190436570, - 0.832745761176359460, -0.553655576367479310, 0.832639583741012770, - -0.553815243188189090, - 0.832533375691888680, -0.553974889646695500, 0.832427137032892280, - -0.554134515737128910, - 0.832320867767929680, -0.554294121453620000, 0.832214567900907980, - -0.554453706790300930, - 0.832108237435735590, -0.554613271741304040, 0.832001876376321950, - -0.554772816300762470, - 0.831895484726577590, -0.554932340462810370, 0.831789062490414400, - -0.555091844221582420, - 0.831682609671745120, -0.555251327571213980, 0.831576126274483740, - -0.555410790505841630, - 0.831469612302545240, -0.555570233019602180, 0.831363067759845920, - -0.555729655106633410, - 0.831256492650303210, -0.555889056761073810, 0.831149886977835540, - -0.556048437977062600, - 0.831043250746362320, -0.556207798748739930, 0.830936583959804410, - -0.556367139070246370, - 0.830829886622083570, -0.556526458935723610, 0.830723158737122880, - -0.556685758339313890, - 0.830616400308846310, -0.556845037275160100, 0.830509611341179070, - -0.557004295737405950, - 0.830402791838047550, -0.557163533720196220, 0.830295941803379070, - -0.557322751217676160, - 0.830189061241102370, -0.557481948223991550, 0.830082150155146970, - -0.557641124733289420, - 0.829975208549443950, -0.557800280739716990, 0.829868236427924840, - -0.557959416237422960, - 0.829761233794523050, -0.558118531220556100, 0.829654200653172640, - -0.558277625683266330, - 0.829547137007808910, -0.558436699619704100, 0.829440042862368170, - -0.558595753024020760, - 0.829332918220788250, -0.558754785890368310, 0.829225763087007570, - -0.558913798212899770, - 0.829118577464965980, -0.559072789985768480, 0.829011361358604430, - -0.559231761203128900, - 0.828904114771864870, -0.559390711859136140, 0.828796837708690610, - -0.559549641947945760, - 0.828689530173025820, -0.559708551463714680, 0.828582192168815790, - -0.559867440400600210, - 0.828474823700007130, -0.560026308752760380, 0.828367424770547480, - -0.560185156514354080, - 0.828259995384385660, -0.560343983679540860, 0.828152535545471410, - -0.560502790242481060, - 0.828045045257755800, -0.560661576197336030, 0.827937524525190870, - -0.560820341538267430, - 0.827829973351729920, -0.560979086259438150, 0.827722391741327220, - -0.561137810355011420, - 0.827614779697938400, -0.561296513819151470, 0.827507137225519830, - -0.561455196646023280, - 0.827399464328029470, -0.561613858829792420, 0.827291761009425810, - -0.561772500364625340, - 0.827184027273669130, -0.561931121244689470, 0.827076263124720270, - -0.562089721464152480, - 0.826968468566541600, -0.562248301017183150, 0.826860643603096190, - -0.562406859897951140, - 0.826752788238348520, -0.562565398100626560, 0.826644902476264320, - -0.562723915619380400, - 0.826536986320809960, -0.562882412448384440, 0.826429039775953500, - -0.563040888581811230, - 0.826321062845663530, -0.563199344013834090, 0.826213055533910220, - -0.563357778738627020, - 0.826105017844664610, -0.563516192750364800, 0.825996949781899080, - -0.563674586043223070, - 0.825888851349586780, -0.563832958611378170, 0.825780722551702430, - -0.563991310449006970, - 0.825672563392221390, -0.564149641550287680, 0.825564373875120490, - -0.564307951909398640, - 0.825456154004377550, -0.564466241520519500, 0.825347903783971380, - -0.564624510377830120, - 0.825239623217882250, -0.564782758475511400, 0.825131312310091070, - -0.564940985807745210, - 0.825022971064580220, -0.565099192368713980, 0.824914599485333190, - -0.565257378152600800, - 0.824806197576334330, -0.565415543153589660, 0.824697765341569470, - -0.565573687365865330, - 0.824589302785025290, -0.565731810783613120, 0.824480809910689500, - -0.565889913401019570, - 0.824372286722551250, -0.566047995212271450, 0.824263733224600560, - -0.566206056211556730, - 0.824155149420828570, -0.566364096393063840, 0.824046535315227760, - -0.566522115750982100, - 0.823937890911791370, -0.566680114279501600, 0.823829216214513990, - -0.566838091972813320, - 0.823720511227391430, -0.566996048825108680, 0.823611775954420260, - -0.567153984830580100, - 0.823503010399598500, -0.567311899983420800, 0.823394214566925080, - -0.567469794277824510, - 0.823285388460400110, -0.567627667707986230, 0.823176532084024860, - -0.567785520268101140, - 0.823067645441801670, -0.567943351952365560, 0.822958728537734000, - -0.568101162754976460, - 0.822849781375826430, -0.568258952670131490, 0.822740803960084420, - -0.568416721692029280, - 0.822631796294514990, -0.568574469814869140, 0.822522758383125940, - -0.568732197032851050, - 0.822413690229926390, -0.568889903340175860, 0.822304591838926350, - -0.569047588731045110, - 0.822195463214137170, -0.569205253199661200, 0.822086304359571090, - -0.569362896740227220, - 0.821977115279241550, -0.569520519346947140, 0.821867895977163250, - -0.569678121014025600, - 0.821758646457351750, -0.569835701735668000, 0.821649366723823940, - -0.569993261506080540, - 0.821540056780597610, -0.570150800319470300, 0.821430716631691870, - -0.570308318170044900, - 0.821321346281126740, -0.570465815052012990, 0.821211945732923550, - -0.570623290959583750, - 0.821102514991104650, -0.570780745886967260, 0.820993054059693580, - -0.570938179828374360, - 0.820883562942714580, -0.571095592778016690, 0.820774041644193650, - -0.571252984730106660, - 0.820664490168157460, -0.571410355678857230, 0.820554908518633890, - -0.571567705618482580, - 0.820445296699652050, -0.571725034543197120, 0.820335654715241840, - -0.571882342447216590, - 0.820225982569434690, -0.572039629324757050, 0.820116280266262820, - -0.572196895170035580, - 0.820006547809759680, -0.572354139977269920, 0.819896785203959810, - -0.572511363740678790, - 0.819786992452898990, -0.572668566454481160, 0.819677169560613870, - -0.572825748112897550, - 0.819567316531142230, -0.572982908710148560, 0.819457433368523280, - -0.573140048240455950, - 0.819347520076796900, -0.573297166698042200, 0.819237576660004520, - -0.573454264077130400, - 0.819127603122188240, -0.573611340371944610, 0.819017599467391500, - -0.573768395576709560, - 0.818907565699658950, -0.573925429685650750, 0.818797501823036010, - -0.574082442692994470, - 0.818687407841569680, -0.574239434592967890, 0.818577283759307610, - -0.574396405379798750, - 0.818467129580298660, -0.574553355047715760, 0.818356945308593150, - -0.574710283590948330, - 0.818246730948242070, -0.574867191003726740, 0.818136486503297730, - -0.575024077280281710, - 0.818026211977813440, -0.575180942414845080, 0.817915907375843850, - -0.575337786401649450, - 0.817805572701444270, -0.575494609234928120, 0.817695207958671680, - -0.575651410908915140, - 0.817584813151583710, -0.575808191417845340, 0.817474388284239240, - -0.575964950755954220, - 0.817363933360698460, -0.576121688917478280, 0.817253448385022340, - -0.576278405896654910, - 0.817142933361272970, -0.576435101687721830, 0.817032388293513880, - -0.576591776284917760, - 0.816921813185809480, -0.576748429682482410, 0.816811208042225290, - -0.576905061874655960, - 0.816700572866827850, -0.577061672855679440, 0.816589907663684890, - -0.577218262619794920, - 0.816479212436865390, -0.577374831161244880, 0.816368487190439200, - -0.577531378474272720, - 0.816257731928477390, -0.577687904553122800, 0.816146946655052270, - -0.577844409392039850, - 0.816036131374236810, -0.578000892985269910, 0.815925286090105510, - -0.578157355327059360, - 0.815814410806733780, -0.578313796411655590, 0.815703505528198260, - -0.578470216233306630, - 0.815592570258576790, -0.578626614786261430, 0.815481605001947770, - -0.578782992064769690, - 0.815370609762391290, -0.578939348063081780, 0.815259584543988280, - -0.579095682775449090, - 0.815148529350820830, -0.579251996196123550, 0.815037444186972220, - -0.579408288319357870, - 0.814926329056526620, -0.579564559139405630, 0.814815183963569440, - -0.579720808650521450, - 0.814704008912187080, -0.579877036846960350, 0.814592803906467270, - -0.580033243722978150, - 0.814481568950498610, -0.580189429272831680, 0.814370304048371070, - -0.580345593490778300, - 0.814259009204175270, -0.580501736371076490, 0.814147684422003360, - -0.580657857907985300, - 0.814036329705948410, -0.580813958095764530, 0.813924945060104600, - -0.580970036928674770, - 0.813813530488567190, -0.581126094400977620, 0.813702085995432700, - -0.581282130506935000, - 0.813590611584798510, -0.581438145240810170, 0.813479107260763220, - -0.581594138596866930, - 0.813367573027426570, -0.581750110569369650, 0.813256008888889380, - -0.581906061152583810, - 0.813144414849253590, -0.582061990340775440, 0.813032790912622040, - -0.582217898128211670, - 0.812921137083098770, -0.582373784509160110, 0.812809453364789270, - -0.582529649477889320, - 0.812697739761799490, -0.582685493028668460, 0.812585996278237130, - -0.582841315155767650, - 0.812474222918210480, -0.582997115853457700, 0.812362419685829230, - -0.583152895116010430, - 0.812250586585203880, -0.583308652937698290, 0.812138723620446480, - -0.583464389312794320, - 0.812026830795669730, -0.583620104235572760, 0.811914908114987790, - -0.583775797700308070, - 0.811802955582515470, -0.583931469701276180, 0.811690973202369050, - -0.584087120232753440, - 0.811578960978665890, -0.584242749289016980, 0.811466918915524250, - -0.584398356864344600, - 0.811354847017063730, -0.584553942953015330, 0.811242745287404810, - -0.584709507549308390, - 0.811130613730669190, -0.584865050647504490, 0.811018452350979470, - -0.585020572241884530, - 0.810906261152459670, -0.585176072326730410, 0.810794040139234730, - -0.585331550896324940, - 0.810681789315430780, -0.585487007944951340, 0.810569508685174630, - -0.585642443466894420, - 0.810457198252594770, -0.585797857456438860, 0.810344858021820550, - -0.585953249907870570, - 0.810232487996982330, -0.586108620815476430, 0.810120088182211600, - -0.586263970173543590, - 0.810007658581641140, -0.586419297976360500, 0.809895199199404450, - -0.586574604218216170, - 0.809782710039636530, -0.586729888893400390, 0.809670191106473090, - -0.586885151996203950, - 0.809557642404051260, -0.587040393520917970, 0.809445063936509170, - -0.587195613461834800, - 0.809332455707985950, -0.587350811813247660, 0.809219817722621750, - -0.587505988569450020, - 0.809107149984558240, -0.587661143724736660, 0.808994452497937670, - -0.587816277273402910, - 0.808881725266903610, -0.587971389209745010, 0.808768968295600850, - -0.588126479528059850, - 0.808656181588174980, -0.588281548222645220, 0.808543365148773010, - -0.588436595287799790, - 0.808430518981542720, -0.588591620717822890, 0.808317643090633250, - -0.588746624507014540, - 0.808204737480194720, -0.588901606649675720, 0.808091802154378370, - -0.589056567140108460, - 0.807978837117336310, -0.589211505972614960, 0.807865842373222120, - -0.589366423141498790, - 0.807752817926190360, -0.589521318641063940, 0.807639763780396480, - -0.589676192465615420, - 0.807526679939997160, -0.589831044609458790, 0.807413566409150190, - -0.589985875066900920, - 0.807300423192014450, -0.590140683832248820, 0.807187250292749960, - -0.590295470899810830, - 0.807074047715517610, -0.590450236263895810, 0.806960815464479730, - -0.590604979918813330, - 0.806847553543799330, -0.590759701858874160, 0.806734261957640860, - -0.590914402078389520, - 0.806620940710169650, -0.591069080571671400, 0.806507589805552260, - -0.591223737333032910, - 0.806394209247956240, -0.591378372356787580, 0.806280799041550480, - -0.591532985637249990, - 0.806167359190504420, -0.591687577168735430, 0.806053889698989060, - -0.591842146945560140, - 0.805940390571176280, -0.591996694962040990, 0.805826861811239300, - -0.592151221212495530, - 0.805713303423352230, -0.592305725691242290, 0.805599715411690060, - -0.592460208392600830, - 0.805486097780429230, -0.592614669310891130, 0.805372450533747060, - -0.592769108440434070, - 0.805258773675822210, -0.592923525775551300, 0.805145067210834230, - -0.593077921310565470, - 0.805031331142963660, -0.593232295039799800, 0.804917565476392260, - -0.593386646957578480, - 0.804803770215302920, -0.593540977058226390, 0.804689945363879500, - -0.593695285336069190, - 0.804576090926307110, -0.593849571785433630, 0.804462206906771840, - -0.594003836400646690, - 0.804348293309460780, -0.594158079176036800, 0.804234350138562260, - -0.594312300105932830, - 0.804120377398265810, -0.594466499184664430, 0.804006375092761520, - -0.594620676406562240, - 0.803892343226241260, -0.594774831765957580, 0.803778281802897570, - -0.594928965257182420, - 0.803664190826924090, -0.595083076874569960, 0.803550070302515680, - -0.595237166612453850, - 0.803435920233868120, -0.595391234465168730, 0.803321740625178580, - -0.595545280427049790, - 0.803207531480644940, -0.595699304492433360, 0.803093292804466400, - -0.595853306655656280, - 0.802979024600843250, -0.596007286911056530, 0.802864726873976700, - -0.596161245252972540, - 0.802750399628069160, -0.596315181675743710, 0.802636042867324150, - -0.596469096173710360, - 0.802521656595946430, -0.596622988741213220, 0.802407240818141300, - -0.596776859372594390, - 0.802292795538115720, -0.596930708062196500, 0.802178320760077450, - -0.597084534804362740, - 0.802063816488235440, -0.597238339593437420, 0.801949282726799770, - -0.597392122423765710, - 0.801834719479981310, -0.597545883289693160, 0.801720126751992330, - -0.597699622185566830, - 0.801605504547046150, -0.597853339105733910, 0.801490852869356950, - -0.598007034044542700, - 0.801376171723140240, -0.598160706996342270, 0.801261461112612540, - -0.598314357955482600, - 0.801146721041991360, -0.598467986916314310, 0.801031951515495330, - -0.598621593873188920, - 0.800917152537344300, -0.598775178820458720, 0.800802324111759110, - -0.598928741752476900, - 0.800687466242961610, -0.599082282663597310, 0.800572578935174860, - -0.599235801548174570, - 0.800457662192622820, -0.599389298400564540, 0.800342716019530660, - -0.599542773215123390, - 0.800227740420124790, -0.599696225986208310, 0.800112735398632370, - -0.599849656708177250, - 0.799997700959281910, -0.600003065375388940, 0.799882637106302810, - -0.600156451982203240, - 0.799767543843925680, -0.600309816522980430, 0.799652421176382240, - -0.600463158992081580, - 0.799537269107905010, -0.600616479383868970, 0.799422087642728040, - -0.600769777692705230, - 0.799306876785086160, -0.600923053912954090, 0.799191636539215210, - -0.601076308038980160, - 0.799076366909352350, -0.601229540065148500, 0.798961067899735760, - -0.601382749985825420, - 0.798845739514604580, -0.601535937795377730, 0.798730381758199210, - -0.601689103488172950, - 0.798614994634760820, -0.601842247058580030, 0.798499578148532120, - -0.601995368500968020, - 0.798384132303756380, -0.602148467809707210, 0.798268657104678430, - -0.602301544979168550, - 0.798153152555543750, -0.602454600003723750, 0.798037618660599410, - -0.602607632877745440, - 0.797922055424093000, -0.602760643595607220, 0.797806462850273570, - -0.602913632151683030, - 0.797690840943391160, -0.603066598540348160, 0.797575189707696700, - -0.603219542755978440, - 0.797459509147442460, -0.603372464792950260, 0.797343799266881700, - -0.603525364645641550, - 0.797228060070268700, -0.603678242308430370, 0.797112291561858920, - -0.603831097775695880, - 0.796996493745908750, -0.603983931041818020, 0.796880666626675780, - -0.604136742101177520, - 0.796764810208418830, -0.604289530948155960, 0.796648924495397260, - -0.604442297577135860, - 0.796533009491872000, -0.604595041982500360, 0.796417065202104980, - -0.604747764158633410, - 0.796301091630359110, -0.604900464099919820, 0.796185088780898440, - -0.605053141800745320, - 0.796069056657987990, -0.605205797255496500, 0.795952995265893910, - -0.605358430458560530, - 0.795836904608883570, -0.605511041404325550, 0.795720784691225090, - -0.605663630087180380, - 0.795604635517188070, -0.605816196501514970, 0.795488457091042990, - -0.605968740641719680, - 0.795372249417061310, -0.606121262502186120, 0.795256012499515610, - -0.606273762077306430, - 0.795139746342679590, -0.606426239361473550, 0.795023450950828050, - -0.606578694349081290, - 0.794907126328237010, -0.606731127034524480, 0.794790772479183170, - -0.606883537412198470, - 0.794674389407944550, -0.607035925476499650, 0.794557977118800380, - -0.607188291221825160, - 0.794441535616030590, -0.607340634642572930, 0.794325064903916520, - -0.607492955733141550, - 0.794208564986740640, -0.607645254487930830, 0.794092035868785960, - -0.607797530901341140, - 0.793975477554337170, -0.607949784967773630, 0.793858890047679730, - -0.608102016681630440, - 0.793742273353100210, -0.608254226037314490, 0.793625627474886300, - -0.608406413029229150, - 0.793508952417326660, -0.608558577651779450, 0.793392248184711100, - -0.608710719899370310, - 0.793275514781330630, -0.608862839766408200, 0.793158752211477140, - -0.609014937247299830, - 0.793041960479443640, -0.609167012336453210, 0.792925139589524260, - -0.609319065028276820, - 0.792808289546014120, -0.609471095317180240, 0.792691410353209450, - -0.609623103197573730, - 0.792574502015407690, -0.609775088663868430, 0.792457564536907080, - -0.609927051710476120, - 0.792340597922007170, -0.610078992331809620, 0.792223602175008310, - -0.610230910522282620, - 0.792106577300212390, -0.610382806276309480, 0.791989523301921850, - -0.610534679588305320, - 0.791872440184440470, -0.610686530452686280, 0.791755327952073150, - -0.610838358863869170, - 0.791638186609125880, -0.610990164816271660, 0.791521016159905220, - -0.611141948304312570, - 0.791403816608719500, -0.611293709322410890, 0.791286587959877830, - -0.611445447864987000, - 0.791169330217690200, -0.611597163926461910, 0.791052043386467950, - -0.611748857501257290, - 0.790934727470523290, -0.611900528583796070, 0.790817382474169770, - -0.612052177168501470, - 0.790700008401721610, -0.612203803249797950, 0.790582605257494460, - -0.612355406822110650, - 0.790465173045804880, -0.612506987879865570, 0.790347711770970520, - -0.612658546417489290, - 0.790230221437310030, -0.612810082429409710, 0.790112702049143300, - -0.612961595910055170, - 0.789995153610791090, -0.613113086853854910, 0.789877576126575280, - -0.613264555255239040, - 0.789759969600819070, -0.613416001108638590, 0.789642334037846340, - -0.613567424408485330, - 0.789524669441982190, -0.613718825149211720, 0.789406975817552930, - -0.613870203325251330, - 0.789289253168885650, -0.614021558931038380, 0.789171501500308900, - -0.614172891961007990, - 0.789053720816151880, -0.614324202409595950, 0.788935911120745240, - -0.614475490271239040, - 0.788818072418420280, -0.614626755540375050, 0.788700204713509660, - -0.614777998211442080, - 0.788582308010347120, -0.614929218278879590, 0.788464382313267540, - -0.615080415737127460, - 0.788346427626606340, -0.615231590580626820, 0.788228443954700490, - -0.615382742803819220, - 0.788110431301888070, -0.615533872401147320, 0.787992389672507950, - -0.615684979367054570, - 0.787874319070900220, -0.615836063695985090, 0.787756219501406060, - -0.615987125382383760, - 0.787638090968367450, -0.616138164420696910, 0.787519933476127810, - -0.616289180805370980, - 0.787401747029031430, -0.616440174530853650, 0.787283531631423620, - -0.616591145591593110, - 0.787165287287651010, -0.616742093982038720, 0.787047014002060790, - -0.616893019696640680, - 0.786928711779001810, -0.617043922729849760, 0.786810380622823490, - -0.617194803076117630, - 0.786692020537876790, -0.617345660729896830, 0.786573631528513230, - -0.617496495685640910, - 0.786455213599085770, -0.617647307937803870, 0.786336766753948260, - -0.617798097480841020, - 0.786218290997455660, -0.617948864309208150, 0.786099786333963930, - -0.618099608417362000, - 0.785981252767830150, -0.618250329799760250, 0.785862690303412600, - -0.618401028450860980, - 0.785744098945070360, -0.618551704365123740, 0.785625478697163700, - -0.618702357537008530, - 0.785506829564053930, -0.618852987960976320, 0.785388151550103550, - -0.619003595631488660, - 0.785269444659675850, -0.619154180543008410, 0.785150708897135560, - -0.619304742689998690, - 0.785031944266848080, -0.619455282066924020, 0.784913150773180020, - -0.619605798668249270, - 0.784794328420499230, -0.619756292488440660, 0.784675477213174320, - -0.619906763521964720, - 0.784556597155575240, -0.620057211763289100, 0.784437688252072830, - -0.620207637206882430, - 0.784318750507038920, -0.620358039847213720, 0.784199783924846570, - -0.620508419678753360, - 0.784080788509869950, -0.620658776695972140, 0.783961764266484120, - -0.620809110893341900, - 0.783842711199065230, -0.620959422265335180, 0.783723629311990470, - -0.621109710806425630, - 0.783604518609638200, -0.621259976511087550, 0.783485379096387820, - -0.621410219373796150, - 0.783366210776619720, -0.621560439389027160, 0.783247013654715380, - -0.621710636551257690, - 0.783127787735057310, -0.621860810854965360, 0.783008533022029110, - -0.622010962294628600, - 0.782889249520015480, -0.622161090864726820, 0.782769937233402050, - -0.622311196559740320, - 0.782650596166575730, -0.622461279374149970, 0.782531226323924240, - -0.622611339302437730, - 0.782411827709836530, -0.622761376339086350, 0.782292400328702400, - -0.622911390478579460, - 0.782172944184913010, -0.623061381715401260, 0.782053459282860300, - -0.623211350044037270, - 0.781933945626937630, -0.623361295458973230, 0.781814403221538830, - -0.623511217954696440, - 0.781694832071059390, -0.623661117525694530, 0.781575232179895550, - -0.623810994166456130, - 0.781455603552444590, -0.623960847871470660, 0.781335946193104870, - -0.624110678635228510, - 0.781216260106276090, -0.624260486452220650, 0.781096545296358520, - -0.624410271316939270, - 0.780976801767753750, -0.624560033223877210, 0.780857029524864580, - -0.624709772167528100, - 0.780737228572094490, -0.624859488142386340, 0.780617398913848400, - -0.625009181142947460, - 0.780497540554531910, -0.625158851163707620, 0.780377653498552040, - -0.625308498199164010, - 0.780257737750316590, -0.625458122243814360, 0.780137793314234610, - -0.625607723292157410, - 0.780017820194715990, -0.625757301338692900, 0.779897818396172000, - -0.625906856377921090, - 0.779777787923014550, -0.626056388404343520, 0.779657728779656890, - -0.626205897412462130, - 0.779537640970513260, -0.626355383396779990, 0.779417524499998900, - -0.626504846351800810, - 0.779297379372530300, -0.626654286272029350, 0.779177205592524680, - -0.626803703151971200, - 0.779057003164400630, -0.626953096986132660, 0.778936772092577500, - -0.627102467769020900, - 0.778816512381475980, -0.627251815495144080, 0.778696224035517530, - -0.627401140159011050, - 0.778575907059125050, -0.627550441755131530, 0.778455561456721900, - -0.627699720278016240, - 0.778335187232733210, -0.627848975722176460, 0.778214784391584540, - -0.627998208082124700, - 0.778094352937702790, -0.628147417352374000, 0.777973892875516100, - -0.628296603527438320, - 0.777853404209453150, -0.628445766601832710, 0.777732886943944050, - -0.628594906570072550, - 0.777612341083420030, -0.628744023426674680, 0.777491766632313010, - -0.628893117166156480, - 0.777371163595056310, -0.629042187783036000, 0.777250531976084070, - -0.629191235271832290, - 0.777129871779831620, -0.629340259627065630, 0.777009183010735290, - -0.629489260843256630, - 0.776888465673232440, -0.629638238914926980, 0.776767719771761510, - -0.629787193836599200, - 0.776646945310762060, -0.629936125602796440, 0.776526142294674430, - -0.630085034208043180, - 0.776405310727940390, -0.630233919646864370, 0.776284450615002510, - -0.630382781913785940, - 0.776163561960304340, -0.630531621003334600, 0.776042644768290770, - -0.630680436910037940, - 0.775921699043407690, -0.630829229628424470, 0.775800724790101650, - -0.630977999153023550, - 0.775679722012820650, -0.631126745478365340, 0.775558690716013580, - -0.631275468598980760, - 0.775437630904130540, -0.631424168509401860, 0.775316542581622530, - -0.631572845204161020, - 0.775195425752941420, -0.631721498677792260, 0.775074280422540450, - -0.631870128924829850, - 0.774953106594873930, -0.632018735939809060, 0.774831904274396850, - -0.632167319717265920, - 0.774710673465565550, -0.632315880251737570, 0.774589414172837550, - -0.632464417537761840, - 0.774468126400670860, -0.632612931569877410, 0.774346810153525130, - -0.632761422342624000, - 0.774225465435860680, -0.632909889850541750, 0.774104092252139050, - -0.633058334088172140, - 0.773982690606822900, -0.633206755050057190, 0.773861260504375540, - -0.633355152730739950, - 0.773739801949261840, -0.633503527124764320, 0.773618314945947460, - -0.633651878226674900, - 0.773496799498899050, -0.633800206031017280, 0.773375255612584470, - -0.633948510532337810, - 0.773253683291472590, -0.634096791725183740, 0.773132082540033070, - -0.634245049604103330, - 0.773010453362736990, -0.634393284163645490, 0.772888795764056220, - -0.634541495398360020, - 0.772767109748463850, -0.634689683302797740, 0.772645395320433860, - -0.634837847871509990, - 0.772523652484441330, -0.634985989099049460, 0.772401881244962450, - -0.635134106979969190, - 0.772280081606474320, -0.635282201508823420, 0.772158253573455240, - -0.635430272680167160, - 0.772036397150384520, -0.635578320488556110, 0.771914512341742350, - -0.635726344928547070, - 0.771792599152010150, -0.635874345994697720, 0.771670657585670330, - -0.636022323681566300, - 0.771548687647206300, -0.636170277983712170, 0.771426689341102590, - -0.636318208895695460, - 0.771304662671844830, -0.636466116412077180, 0.771182607643919330, - -0.636614000527419120, - 0.771060524261813820, -0.636761861236284200, 0.770938412530016940, - -0.636909698533235870, - 0.770816272453018540, -0.637057512412838590, 0.770694104035309140, - -0.637205302869657600, - 0.770571907281380810, -0.637353069898259130, 0.770449682195725960, - -0.637500813493210190, - 0.770327428782838890, -0.637648533649078810, 0.770205147047214210, - -0.637796230360433540, - 0.770082836993347900, -0.637943903621844060, 0.769960498625737230, - -0.638091553427880820, - 0.769838131948879840, -0.638239179773115280, 0.769715736967275130, - -0.638386782652119570, - 0.769593313685422940, -0.638534362059466790, 0.769470862107824670, - -0.638681917989730730, - 0.769348382238982280, -0.638829450437486290, 0.769225874083399260, - -0.638976959397309140, - 0.769103337645579700, -0.639124444863775730, 0.768980772930028870, - -0.639271906831463510, - 0.768858179941253270, -0.639419345294950700, 0.768735558683760310, - -0.639566760248816310, - 0.768612909162058380, -0.639714151687640450, 0.768490231380656860, - -0.639861519606003900, - 0.768367525344066270, -0.640008863998488440, 0.768244791056798330, - -0.640156184859676510, - 0.768122028523365420, -0.640303482184151670, 0.767999237748281270, - -0.640450755966498140, - 0.767876418736060610, -0.640598006201301030, 0.767753571491219030, - -0.640745232883146440, - 0.767630696018273380, -0.640892436006621380, 0.767507792321741270, - -0.641039615566313390, - 0.767384860406141730, -0.641186771556811250, 0.767261900275994500, - -0.641333903972704290, - 0.767138911935820400, -0.641481012808583160, 0.767015895390141480, - -0.641628098059038750, - 0.766892850643480670, -0.641775159718663500, 0.766769777700361920, - -0.641922197782050170, - 0.766646676565310380, -0.642069212243792540, 0.766523547242852210, - -0.642216203098485370, - 0.766400389737514230, -0.642363170340724320, 0.766277204053824710, - -0.642510113965105710, - 0.766153990196312920, -0.642657033966226860, 0.766030748169509000, - -0.642803930338685990, - 0.765907477977944340, -0.642950803077082080, 0.765784179626150970, - -0.643097652176015110, - 0.765660853118662500, -0.643244477630085850, 0.765537498460013070, - -0.643391279433895850, - 0.765414115654738270, -0.643538057582047740, 0.765290704707374370, - -0.643684812069144850, - 0.765167265622458960, -0.643831542889791390, 0.765043798404530520, - -0.643978250038592660, - 0.764920303058128410, -0.644124933510154540, 0.764796779587793460, - -0.644271593299083790, - 0.764673227998067140, -0.644418229399988380, 0.764549648293492150, - -0.644564841807476640, - 0.764426040478612070, -0.644711430516158310, 0.764302404557971720, - -0.644857995520643710, - 0.764178740536116670, -0.645004536815543930, 0.764055048417593970, - -0.645151054395471160, - 0.763931328206951090, -0.645297548255038380, 0.763807579908737160, - -0.645444018388859230, - 0.763683803527501870, -0.645590464791548690, 0.763559999067796150, - -0.645736887457722290, - 0.763436166534172010, -0.645883286381996320, 0.763312305931182380, - -0.646029661558988330, - 0.763188417263381270, -0.646176012983316280, 0.763064500535323710, - -0.646322340649599480, - 0.762940555751565720, -0.646468644552457780, 0.762816582916664430, - -0.646614924686512050, - 0.762692582035177980, -0.646761181046383920, 0.762568553111665380, - -0.646907413626696020, - 0.762444496150687210, -0.647053622422071540, 0.762320411156804270, - -0.647199807427135230, - 0.762196298134578900, -0.647345968636512060, 0.762072157088574560, - -0.647492106044828100, - 0.761947988023355390, -0.647638219646710310, 0.761823790943486960, - -0.647784309436786440, - 0.761699565853535380, -0.647930375409685340, 0.761575312758068000, - -0.648076417560036530, - 0.761451031661653620, -0.648222435882470420, 0.761326722568861360, - -0.648368430371618290, - 0.761202385484261780, -0.648514401022112440, 0.761078020412426560, - -0.648660347828585840, - 0.760953627357928150, -0.648806270785672550, 0.760829206325340010, - -0.648952169888007300, - 0.760704757319236920, -0.649098045130225950, 0.760580280344194450, - -0.649243896506964900, - 0.760455775404789260, -0.649389724012861660, 0.760331242505599030, - -0.649535527642554730, - 0.760206681651202420, -0.649681307390683190, 0.760082092846179340, - -0.649827063251887100, - 0.759957476095110330, -0.649972795220807530, 0.759832831402577400, - -0.650118503292086200, - 0.759708158773163440, -0.650264187460365850, 0.759583458211452010, - -0.650409847720290310, - 0.759458729722028210, -0.650555484066503880, 0.759333973309477940, - -0.650701096493652040, - 0.759209188978388070, -0.650846684996380880, 0.759084376733346610, - -0.650992249569337660, - 0.758959536578942440, -0.651137790207170330, 0.758834668519765660, - -0.651283306904527740, - 0.758709772560407390, -0.651428799656059820, 0.758584848705459610, - -0.651574268456416970, - 0.758459896959515430, -0.651719713300250910, 0.758334917327168960, - -0.651865134182213920, - 0.758209909813015280, -0.652010531096959500, 0.758084874421650730, - -0.652155904039141590, - 0.757959811157672300, -0.652301253003415460, 0.757834720025678310, - -0.652446577984436730, - 0.757709601030268080, -0.652591878976862440, 0.757584454176041810, - -0.652737155975350310, - 0.757459279467600720, -0.652882408974558850, 0.757334076909547130, - -0.653027637969147530, - 0.757208846506484570, -0.653172842953776760, 0.757083588263017140, - -0.653318023923107670, - 0.756958302183750490, -0.653463180871802330, 0.756832988273290820, - -0.653608313794523890, - 0.756707646536245670, -0.653753422685936060, 0.756582276977223470, - -0.653898507540703780, - 0.756456879600833740, -0.654043568353492640, 0.756331454411686920, - -0.654188605118969040, - 0.756206001414394540, -0.654333617831800440, 0.756080520613569120, - -0.654478606486655350, - 0.755955012013824420, -0.654623571078202680, 0.755829475619774760, - -0.654768511601112600, - 0.755703911436035880, -0.654913428050056030, 0.755578319467224540, - -0.655058320419704910, - 0.755452699717958250, -0.655203188704731820, 0.755327052192855670, - -0.655348032899810470, - 0.755201376896536550, -0.655492852999615350, 0.755075673833621620, - -0.655637648998821820, - 0.754949943008732640, -0.655782420892106030, 0.754824184426492350, - -0.655927168674145360, - 0.754698398091524500, -0.656071892339617600, 0.754572584008453840, - -0.656216591883201920, - 0.754446742181906440, -0.656361267299578000, 0.754320872616508820, - -0.656505918583426550, - 0.754194975316889170, -0.656650545729428940, 0.754069050287676120, - -0.656795148732268070, - 0.753943097533499640, -0.656939727586627110, 0.753817117058990790, - -0.657084282287190180, - 0.753691108868781210, -0.657228812828642540, 0.753565072967504300, - -0.657373319205670210, - 0.753439009359793580, -0.657517801412960120, 0.753312918050284330, - -0.657662259445200070, - 0.753186799043612520, -0.657806693297078640, 0.753060652344415100, - -0.657951102963285520, - 0.752934477957330150, -0.658095488438511180, 0.752808275886996950, - -0.658239849717446870, - 0.752682046138055340, -0.658384186794785050, 0.752555788715146390, - -0.658528499665218650, - 0.752429503622912390, -0.658672788323441890, 0.752303190865996400, - -0.658817052764149480, - 0.752176850449042810, -0.658961292982037320, 0.752050482376696360, - -0.659105508971802090, - 0.751924086653603550, -0.659249700728141490, 0.751797663284411550, - -0.659393868245753860, - 0.751671212273768430, -0.659538011519338660, 0.751544733626323680, - -0.659682130543596150, - 0.751418227346727470, -0.659826225313227320, 0.751291693439630870, - -0.659970295822934540, - 0.751165131909686480, -0.660114342067420480, 0.751038542761547360, - -0.660258364041389050, - 0.750911925999867890, -0.660402361739545030, 0.750785281629303690, - -0.660546335156593890, - 0.750658609654510700, -0.660690284287242300, 0.750531910080146410, - -0.660834209126197610, - 0.750405182910869330, -0.660978109668168060, 0.750278428151338720, - -0.661121985907862860, - 0.750151645806215070, -0.661265837839992270, 0.750024835880159780, - -0.661409665459266940, - 0.749897998377835330, -0.661553468760398890, 0.749771133303905100, - -0.661697247738101010, - 0.749644240663033480, -0.661841002387086870, 0.749517320459886170, - -0.661984732702070920, - 0.749390372699129560, -0.662128438677768720, 0.749263397385431130, - -0.662272120308896590, - 0.749136394523459370, -0.662415777590171780, 0.749009364117883880, - -0.662559410516312290, - 0.748882306173375150, -0.662703019082037440, 0.748755220694604760, - -0.662846603282066900, - 0.748628107686245440, -0.662990163111121470, 0.748500967152970430, - -0.663133698563923010, - 0.748373799099454560, -0.663277209635194100, 0.748246603530373420, - -0.663420696319658280, - 0.748119380450403600, -0.663564158612039770, 0.747992129864222700, - -0.663707596507064010, - 0.747864851776509410, -0.663851009999457340, 0.747737546191943330, - -0.663994399083946640, - 0.747610213115205150, -0.664137763755260010, 0.747482852550976570, - -0.664281104008126230, - 0.747355464503940190, -0.664424419837275180, 0.747228048978779920, - -0.664567711237437520, - 0.747100605980180130, -0.664710978203344790, 0.746973135512826850, - -0.664854220729729660, - 0.746845637581406540, -0.664997438811325340, 0.746718112190607130, - -0.665140632442866140, - 0.746590559345117310, -0.665283801619087180, 0.746462979049626770, - -0.665426946334724660, - 0.746335371308826320, -0.665570066584515450, 0.746207736127407760, - -0.665713162363197550, - 0.746080073510063780, -0.665856233665509720, 0.745952383461488290, - -0.665999280486191500, - 0.745824665986376090, -0.666142302819983540, 0.745696921089422760, - -0.666285300661627280, - 0.745569148775325430, -0.666428274005865240, 0.745441349048781680, - -0.666571222847440640, - 0.745313521914490520, -0.666714147181097670, 0.745185667377151640, - -0.666857047001581220, - 0.745057785441466060, -0.666999922303637470, 0.744929876112135350, - -0.667142773082013310, - 0.744801939393862630, -0.667285599331456370, 0.744673975291351710, - -0.667428401046715520, - 0.744545983809307370, -0.667571178222540310, 0.744417964952435620, - -0.667713930853681030, - 0.744289918725443260, -0.667856658934889320, 0.744161845133038180, - -0.667999362460917400, - 0.744033744179929290, -0.668142041426518450, 0.743905615870826490, - -0.668284695826446670, - 0.743777460210440890, -0.668427325655456820, 0.743649277203484060, - -0.668569930908304970, - 0.743521066854669120, -0.668712511579747980, 0.743392829168709970, - -0.668855067664543610, - 0.743264564150321600, -0.668997599157450270, 0.743136271804219820, - -0.669140106053227600, - 0.743007952135121720, -0.669282588346636010, 0.742879605147745200, - -0.669425046032436910, - 0.742751230846809050, -0.669567479105392490, 0.742622829237033490, - -0.669709887560265840, - 0.742494400323139180, -0.669852271391821020, 0.742365944109848460, - -0.669994630594823000, - 0.742237460601884000, -0.670136965164037650, 0.742108949803969910, - -0.670279275094231800, - 0.741980411720831070, -0.670421560380173090, 0.741851846357193480, - -0.670563821016630040, - 0.741723253717784140, -0.670706056998372160, 0.741594633807331150, - -0.670848268320169640, - 0.741465986630563290, -0.670990454976794220, 0.741337312192210660, - -0.671132616963017740, - 0.741208610497004260, -0.671274754273613490, 0.741079881549676080, - -0.671416866903355450, - 0.740951125354959110, -0.671558954847018330, 0.740822341917587330, - -0.671701018099378320, - 0.740693531242295760, -0.671843056655211930, 0.740564693333820250, - -0.671985070509296900, - 0.740435828196898020, -0.672127059656411730, 0.740306935836266940, - -0.672269024091335930, - 0.740178016256666240, -0.672410963808849790, 0.740049069462835550, - -0.672552878803734710, - 0.739920095459516200, -0.672694769070772860, 0.739791094251449950, - -0.672836634604747300, - 0.739662065843380010, -0.672978475400442090, 0.739533010240050250, - -0.673120291452642070, - 0.739403927446205760, -0.673262082756132970, 0.739274817466592520, - -0.673403849305701740, - 0.739145680305957510, -0.673545591096136100, 0.739016515969048720, - -0.673687308122224330, - 0.738887324460615110, -0.673829000378756040, 0.738758105785406900, - -0.673970667860521620, - 0.738628859948174840, -0.674112310562312360, 0.738499586953671130, - -0.674253928478920410, - 0.738370286806648620, -0.674395521605139050, 0.738240959511861310, - -0.674537089935762000, - 0.738111605074064260, -0.674678633465584540, 0.737982223498013570, - -0.674820152189402170, - 0.737852814788465980, -0.674961646102011930, 0.737723378950179700, - -0.675103115198211420, - 0.737593915987913570, -0.675244559472799270, 0.737464425906427580, - -0.675385978920574840, - 0.737334908710482910, -0.675527373536338520, 0.737205364404841190, - -0.675668743314891910, - 0.737075792994265730, -0.675810088251036940, 0.736946194483520280, - -0.675951408339577010, - 0.736816568877369900, -0.676092703575315920, 0.736686916180580460, - -0.676233973953058950, - 0.736557236397919150, -0.676375219467611590, 0.736427529534153690, - -0.676516440113781090, - 0.736297795594053170, -0.676657635886374950, 0.736168034582387330, - -0.676798806780201770, - 0.736038246503927350, -0.676939952790071130, 0.735908431363445190, - -0.677081073910793530, - 0.735778589165713590, -0.677222170137180330, 0.735648719915506510, - -0.677363241464043920, - 0.735518823617598900, -0.677504287886197430, 0.735388900276766730, - -0.677645309398454910, - 0.735258949897786840, -0.677786305995631500, 0.735128972485437180, - -0.677927277672543020, - 0.734998968044496710, -0.678068224424006600, 0.734868936579745170, - -0.678209146244839860, - 0.734738878095963500, -0.678350043129861470, 0.734608792597933550, - -0.678490915073891140, - 0.734478680090438370, -0.678631762071749360, 0.734348540578261600, - -0.678772584118257690, - 0.734218374066188280, -0.678913381208238410, 0.734088180559004040, - -0.679054153336514870, - 0.733957960061495940, -0.679194900497911200, 0.733827712578451700, - -0.679335622687252560, - 0.733697438114660370, -0.679476319899364970, 0.733567136674911360, - -0.679616992129075560, - 0.733436808263995710, -0.679757639371212030, 0.733306452886705260, - -0.679898261620603290, - 0.733176070547832740, -0.680038858872078930, 0.733045661252172080, - -0.680179431120469750, - 0.732915225004517780, -0.680319978360607200, 0.732784761809665790, - -0.680460500587323880, - 0.732654271672412820, -0.680600997795453020, 0.732523754597556700, - -0.680741469979829090, - 0.732393210589896040, -0.680881917135287230, 0.732262639654230770, - -0.681022339256663670, - 0.732132041795361290, -0.681162736338795430, 0.732001417018089630, - -0.681303108376520530, - 0.731870765327218290, -0.681443455364677870, 0.731740086727550980, - -0.681583777298107480, - 0.731609381223892630, -0.681724074171649710, 0.731478648821048520, - -0.681864345980146670, - 0.731347889523825570, -0.682004592718440830, 0.731217103337031270, - -0.682144814381375640, - 0.731086290265474340, -0.682285010963795570, 0.730955450313964360, - -0.682425182460546060, - 0.730824583487312160, -0.682565328866473250, 0.730693689790329000, - -0.682705450176424590, - 0.730562769227827590, -0.682845546385248080, 0.730431821804621520, - -0.682985617487792740, - 0.730300847525525490, -0.683125663478908680, 0.730169846395354870, - -0.683265684353446700, - 0.730038818418926260, -0.683405680106258680, 0.729907763601057140, - -0.683545650732197530, - 0.729776681946566090, -0.683685596226116580, 0.729645573460272480, - -0.683825516582870720, - 0.729514438146997010, -0.683965411797315400, 0.729383276011561050, - -0.684105281864307080, - 0.729252087058786970, -0.684245126778703080, 0.729120871293498230, - -0.684384946535361750, - 0.728989628720519420, -0.684524741129142300, 0.728858359344675800, - -0.684664510554904960, - 0.728727063170793830, -0.684804254807510620, 0.728595740203700770, - -0.684943973881821490, - 0.728464390448225200, -0.685083667772700360, 0.728333013909196360, - -0.685223336475011210, - 0.728201610591444610, -0.685362979983618730, 0.728070180499801210, - -0.685502598293388550, - 0.727938723639098620, -0.685642191399187470, 0.727807240014169960, - -0.685781759295883030, - 0.727675729629849610, -0.685921301978343560, 0.727544192490972800, - -0.686060819441438710, - 0.727412628602375770, -0.686200311680038590, 0.727281037968895870, - -0.686339778689014520, - 0.727149420595371020, -0.686479220463238950, 0.727017776486640680, - -0.686618636997584630, - 0.726886105647544970, -0.686758028286925890, 0.726754408082925020, - -0.686897394326137610, - 0.726622683797622850, -0.687036735110095660, 0.726490932796481910, - -0.687176050633676820, - 0.726359155084346010, -0.687315340891759050, 0.726227350666060370, - -0.687454605879221030, - 0.726095519546471000, -0.687593845590942170, 0.725963661730424930, - -0.687733060021803230, - 0.725831777222770370, -0.687872249166685550, 0.725699866028356120, - -0.688011413020471640, - 0.725567928152032300, -0.688150551578044830, 0.725435963598649810, - -0.688289664834289330, - 0.725303972373060770, -0.688428752784090440, 0.725171954480117950, - -0.688567815422334250, - 0.725039909924675370, -0.688706852743907750, 0.724907838711587820, - -0.688845864743699020, - 0.724775740845711280, -0.688984851416597040, 0.724643616331902550, - -0.689123812757491570, - 0.724511465175019630, -0.689262748761273470, 0.724379287379921190, - -0.689401659422834270, - 0.724247082951467000, -0.689540544737066830, 0.724114851894517850, - -0.689679404698864800, - 0.723982594213935520, -0.689818239303122470, 0.723850309914582880, - -0.689957048544735390, - 0.723717999001323500, -0.690095832418599950, 0.723585661479022150, - -0.690234590919613370, - 0.723453297352544380, -0.690373324042674040, 0.723320906626756970, - -0.690512031782681060, - 0.723188489306527460, -0.690650714134534600, 0.723056045396724410, - -0.690789371093135650, - 0.722923574902217700, -0.690928002653386160, 0.722791077827877550, - -0.691066608810189220, - 0.722658554178575610, -0.691205189558448450, 0.722526003959184540, - -0.691343744893068710, - 0.722393427174577550, -0.691482274808955850, 0.722260823829629310, - -0.691620779301016290, - 0.722128193929215350, -0.691759258364157750, 0.721995537478211880, - -0.691897711993288760, - 0.721862854481496340, -0.692036140183318720, 0.721730144943947160, - -0.692174542929158140, - 0.721597408870443770, -0.692312920225718220, 0.721464646265866370, - -0.692451272067911130, - 0.721331857135096290, -0.692589598450650380, 0.721199041483015720, - -0.692727899368849820, - 0.721066199314508110, -0.692866174817424630, 0.720933330634457530, - -0.693004424791290870, - 0.720800435447749190, -0.693142649285365400, 0.720667513759269520, - -0.693280848294566040, - 0.720534565573905270, -0.693419021813811760, 0.720401590896544760, - -0.693557169838022290, - 0.720268589732077190, -0.693695292362118240, 0.720135562085392420, - -0.693833389381021350, - 0.720002507961381650, -0.693971460889654000, 0.719869427364936860, - -0.694109506882939820, - 0.719736320300951030, -0.694247527355803310, 0.719603186774318120, - -0.694385522303169740, - 0.719470026789932990, -0.694523491719965520, 0.719336840352691740, - -0.694661435601117820, - 0.719203627467491220, -0.694799353941554900, 0.719070388139229190, - -0.694937246736205830, - 0.718937122372804490, -0.695075113980000880, 0.718803830173116890, - -0.695212955667870780, - 0.718670511545067230, -0.695350771794747690, 0.718537166493557370, - -0.695488562355564440, - 0.718403795023489830, -0.695626327345254870, 0.718270397139768260, - -0.695764066758753690, - 0.718136972847297490, -0.695901780590996830, 0.718003522150983180, - -0.696039468836920690, - 0.717870045055731710, -0.696177131491462990, 0.717736541566450950, - -0.696314768549562090, - 0.717603011688049080, -0.696452380006157830, 0.717469455425435830, - -0.696589965856190370, - 0.717335872783521730, -0.696727526094601200, 0.717202263767218070, - -0.696865060716332470, - 0.717068628381437480, -0.697002569716327460, 0.716934966631093130, - -0.697140053089530420, - 0.716801278521099540, -0.697277510830886520, 0.716667564056371890, - -0.697414942935341790, - 0.716533823241826680, -0.697552349397843160, 0.716400056082381000, - -0.697689730213338800, - 0.716266262582953120, -0.697827085376777290, 0.716132442748462330, - -0.697964414883108670, - 0.715998596583828690, -0.698101718727283770, 0.715864724093973500, - -0.698238996904254280, - 0.715730825283818590, -0.698376249408972920, 0.715596900158287470, - -0.698513476236393040, - 0.715462948722303760, -0.698650677381469460, 0.715328970980792620, - -0.698787852839157670, - 0.715194966938680120, -0.698925002604414150, 0.715060936600893090, - -0.699062126672196140, - 0.714926879972359490, -0.699199225037462120, 0.714792797058008240, - -0.699336297695171140, - 0.714658687862769090, -0.699473344640283770, 0.714524552391572860, - -0.699610365867761040, - 0.714390390649351390, -0.699747361372564990, 0.714256202641037510, - -0.699884331149658760, - 0.714121988371564820, -0.700021275194006250, 0.713987747845867830, - -0.700158193500572730, - 0.713853481068882470, -0.700295086064323780, 0.713719188045545240, - -0.700431952880226420, - 0.713584868780793640, -0.700568793943248340, 0.713450523279566260, - -0.700705609248358450, - 0.713316151546802610, -0.700842398790526120, 0.713181753587443180, - -0.700979162564722370, - 0.713047329406429340, -0.701115900565918660, 0.712912879008703480, - -0.701252612789087460, - 0.712778402399208980, -0.701389299229202230, 0.712643899582890210, - -0.701525959881237340, - 0.712509370564692320, -0.701662594740168450, 0.712374815349561710, - -0.701799203800971720, - 0.712240233942445510, -0.701935787058624360, 0.712105626348291890, - -0.702072344508104630, - 0.711970992572050100, -0.702208876144391870, 0.711836332618670080, - -0.702345381962465880, - 0.711701646493102970, -0.702481861957308000, 0.711566934200300700, - -0.702618316123900130, - 0.711432195745216430, -0.702754744457225300, 0.711297431132803970, - -0.702891146952267400, - 0.711162640368018350, -0.703027523604011220, 0.711027823455815280, - -0.703163874407442770, - 0.710892980401151680, -0.703300199357548730, 0.710758111208985350, - -0.703436498449316660, - 0.710623215884275020, -0.703572771677735580, 0.710488294431980470, - -0.703709019037794810, - 0.710353346857062420, -0.703845240524484940, 0.710218373164482220, - -0.703981436132797620, - 0.710083373359202800, -0.704117605857725310, 0.709948347446187400, - -0.704253749694261470, - 0.709813295430400840, -0.704389867637400410, 0.709678217316808580, - -0.704525959682137380, - 0.709543113110376770, -0.704662025823468820, 0.709407982816072980, - -0.704798066056391950, - 0.709272826438865690, -0.704934080375904880, 0.709137643983724030, - -0.705070068777006840, - 0.709002435455618250, -0.705206031254697830, 0.708867200859519820, - -0.705341967803978840, - 0.708731940200400650, -0.705477878419852100, 0.708596653483234080, - -0.705613763097320490, - 0.708461340712994160, -0.705749621831387790, 0.708326001894655890, - -0.705885454617058980, - 0.708190637033195400, -0.706021261449339740, 0.708055246133589500, - -0.706157042323237060, - 0.707919829200816310, -0.706292797233758480, 0.707784386239854620, - -0.706428526175912790, - 0.707648917255684350, -0.706564229144709510, 0.707513422253286280, - -0.706699906135159430, - 0.707377901237642100, -0.706835557142273750, 0.707242354213734710, - -0.706971182161065360, - 0.707106781186547570, -0.707106781186547460, 0.706971182161065360, - -0.707242354213734600, - 0.706835557142273860, -0.707377901237642100, 0.706699906135159430, - -0.707513422253286170, - 0.706564229144709620, -0.707648917255684350, 0.706428526175912790, - -0.707784386239854620, - 0.706292797233758480, -0.707919829200816310, 0.706157042323237060, - -0.708055246133589500, - 0.706021261449339740, -0.708190637033195290, 0.705885454617058980, - -0.708326001894655780, - 0.705749621831387790, -0.708461340712994050, 0.705613763097320490, - -0.708596653483234080, - 0.705477878419852210, -0.708731940200400650, 0.705341967803978950, - -0.708867200859519820, - 0.705206031254697830, -0.709002435455618250, 0.705070068777006840, - -0.709137643983723920, - 0.704934080375904990, -0.709272826438865580, 0.704798066056391950, - -0.709407982816072980, - 0.704662025823468930, -0.709543113110376770, 0.704525959682137380, - -0.709678217316808470, - 0.704389867637400410, -0.709813295430400840, 0.704253749694261580, - -0.709948347446187400, - 0.704117605857725430, -0.710083373359202690, 0.703981436132797730, - -0.710218373164482220, - 0.703845240524484940, -0.710353346857062310, 0.703709019037794810, - -0.710488294431980470, - 0.703572771677735580, -0.710623215884275020, 0.703436498449316770, - -0.710758111208985350, - 0.703300199357548730, -0.710892980401151680, 0.703163874407442770, - -0.711027823455815280, - 0.703027523604011220, -0.711162640368018350, 0.702891146952267400, - -0.711297431132803970, - 0.702754744457225300, -0.711432195745216430, 0.702618316123900130, - -0.711566934200300700, - 0.702481861957308000, -0.711701646493102970, 0.702345381962465880, - -0.711836332618670080, - 0.702208876144391870, -0.711970992572049990, 0.702072344508104740, - -0.712105626348291890, - 0.701935787058624360, -0.712240233942445510, 0.701799203800971720, - -0.712374815349561710, - 0.701662594740168570, -0.712509370564692320, 0.701525959881237450, - -0.712643899582890210, - 0.701389299229202230, -0.712778402399208870, 0.701252612789087460, - -0.712912879008703370, - 0.701115900565918660, -0.713047329406429230, 0.700979162564722480, - -0.713181753587443070, - 0.700842398790526230, -0.713316151546802610, 0.700705609248358450, - -0.713450523279566150, - 0.700568793943248450, -0.713584868780793520, 0.700431952880226420, - -0.713719188045545130, - 0.700295086064323780, -0.713853481068882470, 0.700158193500572730, - -0.713987747845867830, - 0.700021275194006360, -0.714121988371564710, 0.699884331149658760, - -0.714256202641037400, - 0.699747361372564990, -0.714390390649351390, 0.699610365867761040, - -0.714524552391572860, - 0.699473344640283770, -0.714658687862768980, 0.699336297695171250, - -0.714792797058008130, - 0.699199225037462120, -0.714926879972359370, 0.699062126672196140, - -0.715060936600892980, - 0.698925002604414150, -0.715194966938680010, 0.698787852839157790, - -0.715328970980792620, - 0.698650677381469580, -0.715462948722303650, 0.698513476236393040, - -0.715596900158287360, - 0.698376249408972920, -0.715730825283818590, 0.698238996904254390, - -0.715864724093973390, - 0.698101718727283880, -0.715998596583828690, 0.697964414883108790, - -0.716132442748462330, - 0.697827085376777290, -0.716266262582953120, 0.697689730213338800, - -0.716400056082380890, - 0.697552349397843270, -0.716533823241826570, 0.697414942935341790, - -0.716667564056371890, - 0.697277510830886630, -0.716801278521099540, 0.697140053089530530, - -0.716934966631093130, - 0.697002569716327460, -0.717068628381437480, 0.696865060716332470, - -0.717202263767218070, - 0.696727526094601200, -0.717335872783521730, 0.696589965856190370, - -0.717469455425435830, - 0.696452380006157830, -0.717603011688049080, 0.696314768549562200, - -0.717736541566450840, - 0.696177131491462990, -0.717870045055731710, 0.696039468836920690, - -0.718003522150983060, - 0.695901780590996830, -0.718136972847297490, 0.695764066758753800, - -0.718270397139768260, - 0.695626327345254870, -0.718403795023489720, 0.695488562355564440, - -0.718537166493557370, - 0.695350771794747800, -0.718670511545067230, 0.695212955667870890, - -0.718803830173116890, - 0.695075113980000880, -0.718937122372804380, 0.694937246736205940, - -0.719070388139229190, - 0.694799353941554900, -0.719203627467491220, 0.694661435601117930, - -0.719336840352691740, - 0.694523491719965520, -0.719470026789932990, 0.694385522303169860, - -0.719603186774318000, - 0.694247527355803310, -0.719736320300951030, 0.694109506882939820, - -0.719869427364936860, - 0.693971460889654000, -0.720002507961381650, 0.693833389381021350, - -0.720135562085392310, - 0.693695292362118350, -0.720268589732077080, 0.693557169838022400, - -0.720401590896544760, - 0.693419021813811880, -0.720534565573905270, 0.693280848294566150, - -0.720667513759269410, - 0.693142649285365510, -0.720800435447749190, 0.693004424791290870, - -0.720933330634457530, - 0.692866174817424740, -0.721066199314508110, 0.692727899368849820, - -0.721199041483015720, - 0.692589598450650380, -0.721331857135096180, 0.692451272067911240, - -0.721464646265866370, - 0.692312920225718220, -0.721597408870443660, 0.692174542929158140, - -0.721730144943947160, - 0.692036140183318830, -0.721862854481496340, 0.691897711993288760, - -0.721995537478211880, - 0.691759258364157750, -0.722128193929215350, 0.691620779301016400, - -0.722260823829629310, - 0.691482274808955850, -0.722393427174577550, 0.691343744893068820, - -0.722526003959184430, - 0.691205189558448450, -0.722658554178575610, 0.691066608810189220, - -0.722791077827877550, - 0.690928002653386280, -0.722923574902217700, 0.690789371093135760, - -0.723056045396724410, - 0.690650714134534720, -0.723188489306527350, 0.690512031782681170, - -0.723320906626756850, - 0.690373324042674040, -0.723453297352544380, 0.690234590919613370, - -0.723585661479022040, - 0.690095832418599950, -0.723717999001323390, 0.689957048544735390, - -0.723850309914582880, - 0.689818239303122470, -0.723982594213935520, 0.689679404698864800, - -0.724114851894517850, - 0.689540544737066940, -0.724247082951466890, 0.689401659422834380, - -0.724379287379921080, - 0.689262748761273470, -0.724511465175019520, 0.689123812757491680, - -0.724643616331902550, - 0.688984851416597150, -0.724775740845711280, 0.688845864743699130, - -0.724907838711587820, - 0.688706852743907750, -0.725039909924675370, 0.688567815422334360, - -0.725171954480117840, - 0.688428752784090550, -0.725303972373060660, 0.688289664834289440, - -0.725435963598649810, - 0.688150551578044830, -0.725567928152032300, 0.688011413020471640, - -0.725699866028356120, - 0.687872249166685550, -0.725831777222770370, 0.687733060021803230, - -0.725963661730424930, - 0.687593845590942170, -0.726095519546470890, 0.687454605879221030, - -0.726227350666060260, - 0.687315340891759160, -0.726359155084346010, 0.687176050633676930, - -0.726490932796481910, - 0.687036735110095660, -0.726622683797622850, 0.686897394326137610, - -0.726754408082924910, - 0.686758028286925890, -0.726886105647544970, 0.686618636997584740, - -0.727017776486640680, - 0.686479220463238950, -0.727149420595371020, 0.686339778689014630, - -0.727281037968895760, - 0.686200311680038700, -0.727412628602375770, 0.686060819441438710, - -0.727544192490972800, - 0.685921301978343670, -0.727675729629849610, 0.685781759295883030, - -0.727807240014169960, - 0.685642191399187470, -0.727938723639098620, 0.685502598293388670, - -0.728070180499801210, - 0.685362979983618730, -0.728201610591444500, 0.685223336475011210, - -0.728333013909196360, - 0.685083667772700360, -0.728464390448225200, 0.684943973881821490, - -0.728595740203700770, - 0.684804254807510620, -0.728727063170793720, 0.684664510554904960, - -0.728858359344675690, - 0.684524741129142300, -0.728989628720519310, 0.684384946535361750, - -0.729120871293498230, - 0.684245126778703080, -0.729252087058786970, 0.684105281864307080, - -0.729383276011561050, - 0.683965411797315510, -0.729514438146996900, 0.683825516582870830, - -0.729645573460272480, - 0.683685596226116690, -0.729776681946565970, 0.683545650732197530, - -0.729907763601057140, - 0.683405680106258790, -0.730038818418926150, 0.683265684353446700, - -0.730169846395354870, - 0.683125663478908800, -0.730300847525525380, 0.682985617487792850, - -0.730431821804621520, - 0.682845546385248080, -0.730562769227827590, 0.682705450176424590, - -0.730693689790328890, - 0.682565328866473250, -0.730824583487312050, 0.682425182460546060, - -0.730955450313964360, - 0.682285010963795570, -0.731086290265474230, 0.682144814381375640, - -0.731217103337031160, - 0.682004592718440830, -0.731347889523825460, 0.681864345980146780, - -0.731478648821048520, - 0.681724074171649820, -0.731609381223892520, 0.681583777298107480, - -0.731740086727550980, - 0.681443455364677990, -0.731870765327218290, 0.681303108376520530, - -0.732001417018089520, - 0.681162736338795430, -0.732132041795361290, 0.681022339256663670, - -0.732262639654230660, - 0.680881917135287340, -0.732393210589896040, 0.680741469979829090, - -0.732523754597556590, - 0.680600997795453130, -0.732654271672412820, 0.680460500587323880, - -0.732784761809665790, - 0.680319978360607200, -0.732915225004517780, 0.680179431120469750, - -0.733045661252171970, - 0.680038858872079040, -0.733176070547832740, 0.679898261620603290, - -0.733306452886705260, - 0.679757639371212030, -0.733436808263995710, 0.679616992129075560, - -0.733567136674911360, - 0.679476319899365080, -0.733697438114660260, 0.679335622687252670, - -0.733827712578451700, - 0.679194900497911200, -0.733957960061495940, 0.679054153336514870, - -0.734088180559004040, - 0.678913381208238410, -0.734218374066188170, 0.678772584118257690, - -0.734348540578261600, - 0.678631762071749470, -0.734478680090438370, 0.678490915073891250, - -0.734608792597933550, - 0.678350043129861580, -0.734738878095963390, 0.678209146244839860, - -0.734868936579745060, - 0.678068224424006600, -0.734998968044496600, 0.677927277672543130, - -0.735128972485437180, - 0.677786305995631500, -0.735258949897786730, 0.677645309398454910, - -0.735388900276766620, - 0.677504287886197430, -0.735518823617598900, 0.677363241464044030, - -0.735648719915506400, - 0.677222170137180450, -0.735778589165713480, 0.677081073910793530, - -0.735908431363445190, - 0.676939952790071240, -0.736038246503927350, 0.676798806780201770, - -0.736168034582387330, - 0.676657635886374950, -0.736297795594053060, 0.676516440113781090, - -0.736427529534153690, - 0.676375219467611700, -0.736557236397919150, 0.676233973953058950, - -0.736686916180580460, - 0.676092703575316030, -0.736816568877369790, 0.675951408339577010, - -0.736946194483520170, - 0.675810088251037060, -0.737075792994265620, 0.675668743314891910, - -0.737205364404841190, - 0.675527373536338630, -0.737334908710482790, 0.675385978920574950, - -0.737464425906427580, - 0.675244559472799270, -0.737593915987913460, 0.675103115198211530, - -0.737723378950179590, - 0.674961646102012040, -0.737852814788465980, 0.674820152189402280, - -0.737982223498013570, - 0.674678633465584540, -0.738111605074064260, 0.674537089935762110, - -0.738240959511861310, - 0.674395521605139050, -0.738370286806648510, 0.674253928478920520, - -0.738499586953671130, - 0.674112310562312360, -0.738628859948174840, 0.673970667860521620, - -0.738758105785406900, - 0.673829000378756150, -0.738887324460615110, 0.673687308122224330, - -0.739016515969048600, - 0.673545591096136100, -0.739145680305957400, 0.673403849305701850, - -0.739274817466592520, - 0.673262082756132970, -0.739403927446205760, 0.673120291452642070, - -0.739533010240050250, - 0.672978475400442090, -0.739662065843379900, 0.672836634604747410, - -0.739791094251449950, - 0.672694769070772970, -0.739920095459516090, 0.672552878803734820, - -0.740049069462835550, - 0.672410963808849900, -0.740178016256666240, 0.672269024091336040, - -0.740306935836266940, - 0.672127059656411840, -0.740435828196898020, 0.671985070509296900, - -0.740564693333820250, - 0.671843056655211930, -0.740693531242295640, 0.671701018099378320, - -0.740822341917587330, - 0.671558954847018330, -0.740951125354959110, 0.671416866903355450, - -0.741079881549676080, - 0.671274754273613490, -0.741208610497004260, 0.671132616963017850, - -0.741337312192210660, - 0.670990454976794220, -0.741465986630563290, 0.670848268320169750, - -0.741594633807331150, - 0.670706056998372160, -0.741723253717784140, 0.670563821016630040, - -0.741851846357193480, - 0.670421560380173090, -0.741980411720830960, 0.670279275094231910, - -0.742108949803969800, - 0.670136965164037760, -0.742237460601884000, 0.669994630594823000, - -0.742365944109848460, - 0.669852271391821130, -0.742494400323139180, 0.669709887560265840, - -0.742622829237033380, - 0.669567479105392490, -0.742751230846809050, 0.669425046032436910, - -0.742879605147745090, - 0.669282588346636010, -0.743007952135121720, 0.669140106053227710, - -0.743136271804219820, - 0.668997599157450270, -0.743264564150321490, 0.668855067664543610, - -0.743392829168709970, - 0.668712511579748090, -0.743521066854669120, 0.668569930908305080, - -0.743649277203484060, - 0.668427325655456820, -0.743777460210440780, 0.668284695826446670, - -0.743905615870826490, - 0.668142041426518560, -0.744033744179929180, 0.667999362460917510, - -0.744161845133038070, - 0.667856658934889440, -0.744289918725443140, 0.667713930853681140, - -0.744417964952435620, - 0.667571178222540310, -0.744545983809307250, 0.667428401046715640, - -0.744673975291351600, - 0.667285599331456480, -0.744801939393862630, 0.667142773082013310, - -0.744929876112135350, - 0.666999922303637470, -0.745057785441465950, 0.666857047001581220, - -0.745185667377151640, - 0.666714147181097670, -0.745313521914490410, 0.666571222847440750, - -0.745441349048781680, - 0.666428274005865350, -0.745569148775325430, 0.666285300661627390, - -0.745696921089422760, - 0.666142302819983540, -0.745824665986375980, 0.665999280486191500, - -0.745952383461488180, - 0.665856233665509720, -0.746080073510063780, 0.665713162363197660, - -0.746207736127407650, - 0.665570066584515560, -0.746335371308826320, 0.665426946334724660, - -0.746462979049626770, - 0.665283801619087180, -0.746590559345117310, 0.665140632442866140, - -0.746718112190607020, - 0.664997438811325340, -0.746845637581406540, 0.664854220729729660, - -0.746973135512826740, - 0.664710978203344900, -0.747100605980180130, 0.664567711237437520, - -0.747228048978779920, - 0.664424419837275180, -0.747355464503940190, 0.664281104008126230, - -0.747482852550976570, - 0.664137763755260010, -0.747610213115205150, 0.663994399083946640, - -0.747737546191943330, - 0.663851009999457340, -0.747864851776509410, 0.663707596507064120, - -0.747992129864222700, - 0.663564158612039880, -0.748119380450403490, 0.663420696319658280, - -0.748246603530373420, - 0.663277209635194100, -0.748373799099454560, 0.663133698563923010, - -0.748500967152970430, - 0.662990163111121470, -0.748628107686245330, 0.662846603282066900, - -0.748755220694604760, - 0.662703019082037440, -0.748882306173375030, 0.662559410516312400, - -0.749009364117883770, - 0.662415777590171780, -0.749136394523459260, 0.662272120308896590, - -0.749263397385431020, - 0.662128438677768720, -0.749390372699129560, 0.661984732702071030, - -0.749517320459886170, - 0.661841002387086870, -0.749644240663033480, 0.661697247738101120, - -0.749771133303904990, - 0.661553468760399000, -0.749897998377835220, 0.661409665459266940, - -0.750024835880159780, - 0.661265837839992270, -0.750151645806214960, 0.661121985907862970, - -0.750278428151338610, - 0.660978109668168060, -0.750405182910869220, 0.660834209126197610, - -0.750531910080146410, - 0.660690284287242300, -0.750658609654510590, 0.660546335156593890, - -0.750785281629303580, - 0.660402361739545030, -0.750911925999867890, 0.660258364041389050, - -0.751038542761547250, - 0.660114342067420480, -0.751165131909686370, 0.659970295822934540, - -0.751291693439630870, - 0.659826225313227430, -0.751418227346727360, 0.659682130543596150, - -0.751544733626323570, - 0.659538011519338770, -0.751671212273768430, 0.659393868245753970, - -0.751797663284411440, - 0.659249700728141490, -0.751924086653603550, 0.659105508971802200, - -0.752050482376696360, - 0.658961292982037320, -0.752176850449042700, 0.658817052764149480, - -0.752303190865996400, - 0.658672788323441890, -0.752429503622912390, 0.658528499665218760, - -0.752555788715146390, - 0.658384186794785050, -0.752682046138055230, 0.658239849717446980, - -0.752808275886996950, - 0.658095488438511290, -0.752934477957330150, 0.657951102963285630, - -0.753060652344415100, - 0.657806693297078640, -0.753186799043612410, 0.657662259445200070, - -0.753312918050284330, - 0.657517801412960120, -0.753439009359793580, 0.657373319205670210, - -0.753565072967504190, - 0.657228812828642650, -0.753691108868781210, 0.657084282287190180, - -0.753817117058990680, - 0.656939727586627110, -0.753943097533499640, 0.656795148732268070, - -0.754069050287676120, - 0.656650545729429050, -0.754194975316889170, 0.656505918583426550, - -0.754320872616508820, - 0.656361267299578000, -0.754446742181906330, 0.656216591883202030, - -0.754572584008453840, - 0.656071892339617710, -0.754698398091524390, 0.655927168674145360, - -0.754824184426492240, - 0.655782420892106030, -0.754949943008732640, 0.655637648998821820, - -0.755075673833621510, - 0.655492852999615460, -0.755201376896536550, 0.655348032899810580, - -0.755327052192855560, - 0.655203188704731930, -0.755452699717958140, 0.655058320419704910, - -0.755578319467224540, - 0.654913428050056150, -0.755703911436035880, 0.654768511601112600, - -0.755829475619774760, - 0.654623571078202680, -0.755955012013824310, 0.654478606486655350, - -0.756080520613569120, - 0.654333617831800550, -0.756206001414394540, 0.654188605118969040, - -0.756331454411686920, - 0.654043568353492640, -0.756456879600833630, 0.653898507540703890, - -0.756582276977223470, - 0.653753422685936170, -0.756707646536245670, 0.653608313794523890, - -0.756832988273290820, - 0.653463180871802330, -0.756958302183750490, 0.653318023923107670, - -0.757083588263017140, - 0.653172842953776760, -0.757208846506484460, 0.653027637969147650, - -0.757334076909547130, - 0.652882408974558960, -0.757459279467600720, 0.652737155975350420, - -0.757584454176041810, - 0.652591878976862550, -0.757709601030268080, 0.652446577984436840, - -0.757834720025678310, - 0.652301253003415460, -0.757959811157672300, 0.652155904039141700, - -0.758084874421650620, - 0.652010531096959500, -0.758209909813015280, 0.651865134182214030, - -0.758334917327168960, - 0.651719713300251020, -0.758459896959515320, 0.651574268456417080, - -0.758584848705459500, - 0.651428799656059820, -0.758709772560407390, 0.651283306904527850, - -0.758834668519765660, - 0.651137790207170330, -0.758959536578942440, 0.650992249569337660, - -0.759084376733346500, - 0.650846684996380990, -0.759209188978387960, 0.650701096493652040, - -0.759333973309477940, - 0.650555484066503990, -0.759458729722028210, 0.650409847720290420, - -0.759583458211452010, - 0.650264187460365960, -0.759708158773163440, 0.650118503292086200, - -0.759832831402577400, - 0.649972795220807530, -0.759957476095110330, 0.649827063251887100, - -0.760082092846179220, - 0.649681307390683190, -0.760206681651202420, 0.649535527642554730, - -0.760331242505599030, - 0.649389724012861770, -0.760455775404789260, 0.649243896506965010, - -0.760580280344194340, - 0.649098045130226060, -0.760704757319236920, 0.648952169888007410, - -0.760829206325340010, - 0.648806270785672550, -0.760953627357928040, 0.648660347828585840, - -0.761078020412426560, - 0.648514401022112550, -0.761202385484261780, 0.648368430371618400, - -0.761326722568861250, - 0.648222435882470420, -0.761451031661653510, 0.648076417560036530, - -0.761575312758068000, - 0.647930375409685460, -0.761699565853535270, 0.647784309436786550, - -0.761823790943486840, - 0.647638219646710420, -0.761947988023355390, 0.647492106044828100, - -0.762072157088574560, - 0.647345968636512060, -0.762196298134578900, 0.647199807427135230, - -0.762320411156804160, - 0.647053622422071650, -0.762444496150687100, 0.646907413626696020, - -0.762568553111665380, - 0.646761181046383920, -0.762692582035177870, 0.646614924686512050, - -0.762816582916664320, - 0.646468644552457890, -0.762940555751565720, 0.646322340649599590, - -0.763064500535323710, - 0.646176012983316390, -0.763188417263381270, 0.646029661558988330, - -0.763312305931182380, - 0.645883286381996440, -0.763436166534172010, 0.645736887457722290, - -0.763559999067796150, - 0.645590464791548800, -0.763683803527501870, 0.645444018388859230, - -0.763807579908737160, - 0.645297548255038380, -0.763931328206951090, 0.645151054395471270, - -0.764055048417593860, - 0.645004536815544040, -0.764178740536116670, 0.644857995520643710, - -0.764302404557971720, - 0.644711430516158420, -0.764426040478612070, 0.644564841807476750, - -0.764549648293492150, - 0.644418229399988380, -0.764673227998067140, 0.644271593299083900, - -0.764796779587793460, - 0.644124933510154540, -0.764920303058128410, 0.643978250038592660, - -0.765043798404530410, - 0.643831542889791500, -0.765167265622458960, 0.643684812069144960, - -0.765290704707374260, - 0.643538057582047850, -0.765414115654738160, 0.643391279433895960, - -0.765537498460013070, - 0.643244477630085850, -0.765660853118662390, 0.643097652176015110, - -0.765784179626150970, - 0.642950803077082080, -0.765907477977944230, 0.642803930338686100, - -0.766030748169509000, - 0.642657033966226860, -0.766153990196312810, 0.642510113965105710, - -0.766277204053824710, - 0.642363170340724320, -0.766400389737514120, 0.642216203098485370, - -0.766523547242852100, - 0.642069212243792540, -0.766646676565310380, 0.641922197782050170, - -0.766769777700361920, - 0.641775159718663500, -0.766892850643480670, 0.641628098059038860, - -0.767015895390141480, - 0.641481012808583160, -0.767138911935820400, 0.641333903972704290, - -0.767261900275994390, - 0.641186771556811250, -0.767384860406141620, 0.641039615566313390, - -0.767507792321741270, - 0.640892436006621380, -0.767630696018273270, 0.640745232883146440, - -0.767753571491219030, - 0.640598006201301030, -0.767876418736060610, 0.640450755966498140, - -0.767999237748281270, - 0.640303482184151670, -0.768122028523365310, 0.640156184859676620, - -0.768244791056798220, - 0.640008863998488440, -0.768367525344066270, 0.639861519606004010, - -0.768490231380656750, - 0.639714151687640450, -0.768612909162058270, 0.639566760248816420, - -0.768735558683760310, - 0.639419345294950700, -0.768858179941253270, 0.639271906831463510, - -0.768980772930028870, - 0.639124444863775730, -0.769103337645579590, 0.638976959397309140, - -0.769225874083399260, - 0.638829450437486400, -0.769348382238982280, 0.638681917989730840, - -0.769470862107824560, - 0.638534362059466790, -0.769593313685422940, 0.638386782652119680, - -0.769715736967275020, - 0.638239179773115390, -0.769838131948879840, 0.638091553427880930, - -0.769960498625737230, - 0.637943903621844170, -0.770082836993347900, 0.637796230360433540, - -0.770205147047214100, - 0.637648533649078810, -0.770327428782838770, 0.637500813493210310, - -0.770449682195725960, - 0.637353069898259130, -0.770571907281380700, 0.637205302869657600, - -0.770694104035309140, - 0.637057512412838590, -0.770816272453018430, 0.636909698533235870, - -0.770938412530016940, - 0.636761861236284200, -0.771060524261813710, 0.636614000527419230, - -0.771182607643919220, - 0.636466116412077180, -0.771304662671844720, 0.636318208895695570, - -0.771426689341102590, - 0.636170277983712170, -0.771548687647206300, 0.636022323681566300, - -0.771670657585670330, - 0.635874345994697720, -0.771792599152010150, 0.635726344928547180, - -0.771914512341742350, - 0.635578320488556230, -0.772036397150384410, 0.635430272680167160, - -0.772158253573455240, - 0.635282201508823530, -0.772280081606474320, 0.635134106979969300, - -0.772401881244962340, - 0.634985989099049460, -0.772523652484441330, 0.634837847871510100, - -0.772645395320433860, - 0.634689683302797850, -0.772767109748463740, 0.634541495398360130, - -0.772888795764056220, - 0.634393284163645490, -0.773010453362736990, 0.634245049604103330, - -0.773132082540033070, - 0.634096791725183740, -0.773253683291472590, 0.633948510532337810, - -0.773375255612584470, - 0.633800206031017280, -0.773496799498899050, 0.633651878226674900, - -0.773618314945947460, - 0.633503527124764320, -0.773739801949261840, 0.633355152730740060, - -0.773861260504375540, - 0.633206755050057190, -0.773982690606822790, 0.633058334088172250, - -0.774104092252138940, - 0.632909889850541860, -0.774225465435860570, 0.632761422342624000, - -0.774346810153525020, - 0.632612931569877520, -0.774468126400670860, 0.632464417537761840, - -0.774589414172837550, - 0.632315880251737680, -0.774710673465565550, 0.632167319717266030, - -0.774831904274396850, - 0.632018735939809060, -0.774953106594873820, 0.631870128924829850, - -0.775074280422540450, - 0.631721498677792370, -0.775195425752941310, 0.631572845204161130, - -0.775316542581622410, - 0.631424168509401860, -0.775437630904130430, 0.631275468598980870, - -0.775558690716013580, - 0.631126745478365340, -0.775679722012820540, 0.630977999153023660, - -0.775800724790101540, - 0.630829229628424470, -0.775921699043407580, 0.630680436910038060, - -0.776042644768290770, - 0.630531621003334600, -0.776163561960304340, 0.630382781913785940, - -0.776284450615002400, - 0.630233919646864480, -0.776405310727940390, 0.630085034208043290, - -0.776526142294674430, - 0.629936125602796550, -0.776646945310762060, 0.629787193836599200, - -0.776767719771761510, - 0.629638238914927100, -0.776888465673232440, 0.629489260843256740, - -0.777009183010735290, - 0.629340259627065750, -0.777129871779831620, 0.629191235271832410, - -0.777250531976084070, - 0.629042187783036000, -0.777371163595056200, 0.628893117166156480, - -0.777491766632312900, - 0.628744023426674790, -0.777612341083419920, 0.628594906570072660, - -0.777732886943944050, - 0.628445766601832710, -0.777853404209453040, 0.628296603527438440, - -0.777973892875515990, - 0.628147417352374120, -0.778094352937702790, 0.627998208082124810, - -0.778214784391584420, - 0.627848975722176570, -0.778335187232733090, 0.627699720278016240, - -0.778455561456721900, - 0.627550441755131530, -0.778575907059124940, 0.627401140159011160, - -0.778696224035517530, - 0.627251815495144190, -0.778816512381475870, 0.627102467769021010, - -0.778936772092577500, - 0.626953096986132770, -0.779057003164400630, 0.626803703151971310, - -0.779177205592524680, - 0.626654286272029460, -0.779297379372530300, 0.626504846351800930, - -0.779417524499998900, - 0.626355383396779990, -0.779537640970513150, 0.626205897412462130, - -0.779657728779656780, - 0.626056388404343520, -0.779777787923014440, 0.625906856377921210, - -0.779897818396171890, - 0.625757301338692900, -0.780017820194715990, 0.625607723292157410, - -0.780137793314234500, - 0.625458122243814360, -0.780257737750316590, 0.625308498199164010, - -0.780377653498552040, - 0.625158851163707730, -0.780497540554531910, 0.625009181142947460, - -0.780617398913848290, - 0.624859488142386450, -0.780737228572094380, 0.624709772167528100, - -0.780857029524864470, - 0.624560033223877320, -0.780976801767753750, 0.624410271316939380, - -0.781096545296358410, - 0.624260486452220650, -0.781216260106276090, 0.624110678635228510, - -0.781335946193104870, - 0.623960847871470770, -0.781455603552444480, 0.623810994166456130, - -0.781575232179895550, - 0.623661117525694640, -0.781694832071059390, 0.623511217954696550, - -0.781814403221538830, - 0.623361295458973340, -0.781933945626937630, 0.623211350044037270, - -0.782053459282860300, - 0.623061381715401370, -0.782172944184912900, 0.622911390478579460, - -0.782292400328702400, - 0.622761376339086460, -0.782411827709836420, 0.622611339302437730, - -0.782531226323924240, - 0.622461279374150080, -0.782650596166575730, 0.622311196559740320, - -0.782769937233402050, - 0.622161090864726930, -0.782889249520015480, 0.622010962294628600, - -0.783008533022029110, - 0.621860810854965360, -0.783127787735057310, 0.621710636551257690, - -0.783247013654715380, - 0.621560439389027270, -0.783366210776619720, 0.621410219373796150, - -0.783485379096387820, - 0.621259976511087660, -0.783604518609638200, 0.621109710806425740, - -0.783723629311990470, - 0.620959422265335180, -0.783842711199065230, 0.620809110893341900, - -0.783961764266484010, - 0.620658776695972140, -0.784080788509869950, 0.620508419678753360, - -0.784199783924846570, - 0.620358039847213830, -0.784318750507038920, 0.620207637206882430, - -0.784437688252072720, - 0.620057211763289210, -0.784556597155575240, 0.619906763521964830, - -0.784675477213174320, - 0.619756292488440660, -0.784794328420499230, 0.619605798668249390, - -0.784913150773180020, - 0.619455282066924020, -0.785031944266848080, 0.619304742689998690, - -0.785150708897135560, - 0.619154180543008410, -0.785269444659675850, 0.619003595631488770, - -0.785388151550103550, - 0.618852987960976320, -0.785506829564053930, 0.618702357537008640, - -0.785625478697163700, - 0.618551704365123860, -0.785744098945070360, 0.618401028450860980, - -0.785862690303412600, - 0.618250329799760250, -0.785981252767830150, 0.618099608417362110, - -0.786099786333963820, - 0.617948864309208260, -0.786218290997455550, 0.617798097480841140, - -0.786336766753948260, - 0.617647307937803980, -0.786455213599085770, 0.617496495685640910, - -0.786573631528513230, - 0.617345660729896940, -0.786692020537876680, 0.617194803076117630, - -0.786810380622823490, - 0.617043922729849760, -0.786928711779001700, 0.616893019696640790, - -0.787047014002060790, - 0.616742093982038830, -0.787165287287650890, 0.616591145591593230, - -0.787283531631423620, - 0.616440174530853650, -0.787401747029031320, 0.616289180805370980, - -0.787519933476127810, - 0.616138164420696910, -0.787638090968367450, 0.615987125382383870, - -0.787756219501405950, - 0.615836063695985090, -0.787874319070900110, 0.615684979367054570, - -0.787992389672507950, - 0.615533872401147430, -0.788110431301888070, 0.615382742803819330, - -0.788228443954700490, - 0.615231590580626820, -0.788346427626606230, 0.615080415737127460, - -0.788464382313267430, - 0.614929218278879590, -0.788582308010347120, 0.614777998211442190, - -0.788700204713509660, - 0.614626755540375050, -0.788818072418420170, 0.614475490271239160, - -0.788935911120745130, - 0.614324202409595950, -0.789053720816151880, 0.614172891961007990, - -0.789171501500308790, - 0.614021558931038490, -0.789289253168885650, 0.613870203325251440, - -0.789406975817552810, - 0.613718825149211830, -0.789524669441982190, 0.613567424408485330, - -0.789642334037846340, - 0.613416001108638590, -0.789759969600819070, 0.613264555255239150, - -0.789877576126575280, - 0.613113086853854910, -0.789995153610791090, 0.612961595910055170, - -0.790112702049143300, - 0.612810082429409710, -0.790230221437310030, 0.612658546417489290, - -0.790347711770970520, - 0.612506987879865570, -0.790465173045804880, 0.612355406822110760, - -0.790582605257494460, - 0.612203803249798060, -0.790700008401721610, 0.612052177168501580, - -0.790817382474169660, - 0.611900528583796070, -0.790934727470523290, 0.611748857501257400, - -0.791052043386467950, - 0.611597163926462020, -0.791169330217690090, 0.611445447864987110, - -0.791286587959877720, - 0.611293709322411010, -0.791403816608719500, 0.611141948304312570, - -0.791521016159905220, - 0.610990164816271770, -0.791638186609125770, 0.610838358863869280, - -0.791755327952073150, - 0.610686530452686280, -0.791872440184440470, 0.610534679588305320, - -0.791989523301921850, - 0.610382806276309480, -0.792106577300212390, 0.610230910522282620, - -0.792223602175008310, - 0.610078992331809620, -0.792340597922007060, 0.609927051710476230, - -0.792457564536906970, - 0.609775088663868430, -0.792574502015407580, 0.609623103197573730, - -0.792691410353209450, - 0.609471095317180240, -0.792808289546014120, 0.609319065028276820, - -0.792925139589524260, - 0.609167012336453210, -0.793041960479443640, 0.609014937247299940, - -0.793158752211477140, - 0.608862839766408200, -0.793275514781330630, 0.608710719899370420, - -0.793392248184711100, - 0.608558577651779450, -0.793508952417326660, 0.608406413029229260, - -0.793625627474886190, - 0.608254226037314490, -0.793742273353100100, 0.608102016681630550, - -0.793858890047679620, - 0.607949784967773740, -0.793975477554337170, 0.607797530901341140, - -0.794092035868785960, - 0.607645254487930830, -0.794208564986740640, 0.607492955733141660, - -0.794325064903916520, - 0.607340634642572930, -0.794441535616030590, 0.607188291221825160, - -0.794557977118800270, - 0.607035925476499760, -0.794674389407944550, 0.606883537412198580, - -0.794790772479183170, - 0.606731127034524480, -0.794907126328237010, 0.606578694349081400, - -0.795023450950828050, - 0.606426239361473550, -0.795139746342679590, 0.606273762077306430, - -0.795256012499515500, - 0.606121262502186230, -0.795372249417061190, 0.605968740641719790, - -0.795488457091042990, - 0.605816196501515080, -0.795604635517188070, 0.605663630087180490, - -0.795720784691225090, - 0.605511041404325550, -0.795836904608883460, 0.605358430458560530, - -0.795952995265893910, - 0.605205797255496500, -0.796069056657987990, 0.605053141800745430, - -0.796185088780898440, - 0.604900464099919930, -0.796301091630359110, 0.604747764158633410, - -0.796417065202104980, - 0.604595041982500360, -0.796533009491872000, 0.604442297577135970, - -0.796648924495397150, - 0.604289530948156070, -0.796764810208418720, 0.604136742101177630, - -0.796880666626675780, - 0.603983931041818020, -0.796996493745908750, 0.603831097775695880, - -0.797112291561858920, - 0.603678242308430370, -0.797228060070268700, 0.603525364645641550, - -0.797343799266881700, - 0.603372464792950370, -0.797459509147442460, 0.603219542755978440, - -0.797575189707696590, - 0.603066598540348280, -0.797690840943391040, 0.602913632151683140, - -0.797806462850273570, - 0.602760643595607220, -0.797922055424093000, 0.602607632877745550, - -0.798037618660599410, - 0.602454600003723860, -0.798153152555543750, 0.602301544979168550, - -0.798268657104678310, - 0.602148467809707320, -0.798384132303756380, 0.601995368500968130, - -0.798499578148532010, - 0.601842247058580030, -0.798614994634760820, 0.601689103488173060, - -0.798730381758199210, - 0.601535937795377730, -0.798845739514604580, 0.601382749985825420, - -0.798961067899735760, - 0.601229540065148620, -0.799076366909352350, 0.601076308038980160, - -0.799191636539215210, - 0.600923053912954090, -0.799306876785086160, 0.600769777692705230, - -0.799422087642728040, - 0.600616479383868970, -0.799537269107905010, 0.600463158992081690, - -0.799652421176382130, - 0.600309816522980430, -0.799767543843925680, 0.600156451982203350, - -0.799882637106302810, - 0.600003065375389060, -0.799997700959281910, 0.599849656708177360, - -0.800112735398632370, - 0.599696225986208310, -0.800227740420124790, 0.599542773215123390, - -0.800342716019530660, - 0.599389298400564540, -0.800457662192622710, 0.599235801548174570, - -0.800572578935174750, - 0.599082282663597310, -0.800687466242961500, 0.598928741752476900, - -0.800802324111759110, - 0.598775178820458720, -0.800917152537344300, 0.598621593873188920, - -0.801031951515495330, - 0.598467986916314310, -0.801146721041991250, 0.598314357955482600, - -0.801261461112612540, - 0.598160706996342380, -0.801376171723140130, 0.598007034044542700, - -0.801490852869356840, - 0.597853339105733910, -0.801605504547046040, 0.597699622185566830, - -0.801720126751992330, - 0.597545883289693270, -0.801834719479981310, 0.597392122423765710, - -0.801949282726799660, - 0.597238339593437530, -0.802063816488235440, 0.597084534804362740, - -0.802178320760077450, - 0.596930708062196500, -0.802292795538115720, 0.596776859372594500, - -0.802407240818141300, - 0.596622988741213330, -0.802521656595946320, 0.596469096173710360, - -0.802636042867324150, - 0.596315181675743820, -0.802750399628069160, 0.596161245252972540, - -0.802864726873976590, - 0.596007286911056530, -0.802979024600843140, 0.595853306655656390, - -0.803093292804466400, - 0.595699304492433470, -0.803207531480644830, 0.595545280427049790, - -0.803321740625178470, - 0.595391234465168730, -0.803435920233868120, 0.595237166612453850, - -0.803550070302515570, - 0.595083076874569960, -0.803664190826924090, 0.594928965257182420, - -0.803778281802897570, - 0.594774831765957580, -0.803892343226241260, 0.594620676406562240, - -0.804006375092761520, - 0.594466499184664540, -0.804120377398265700, 0.594312300105932830, - -0.804234350138562260, - 0.594158079176036800, -0.804348293309460780, 0.594003836400646690, - -0.804462206906771840, - 0.593849571785433630, -0.804576090926307000, 0.593695285336069300, - -0.804689945363879500, - 0.593540977058226390, -0.804803770215302810, 0.593386646957578480, - -0.804917565476392150, - 0.593232295039799800, -0.805031331142963660, 0.593077921310565580, - -0.805145067210834120, - 0.592923525775551410, -0.805258773675822210, 0.592769108440434070, - -0.805372450533747060, - 0.592614669310891130, -0.805486097780429120, 0.592460208392600940, - -0.805599715411689950, - 0.592305725691242400, -0.805713303423352120, 0.592151221212495640, - -0.805826861811239300, - 0.591996694962040990, -0.805940390571176280, 0.591842146945560250, - -0.806053889698988950, - 0.591687577168735550, -0.806167359190504310, 0.591532985637249990, - -0.806280799041550370, - 0.591378372356787580, -0.806394209247956240, 0.591223737333032910, - -0.806507589805552260, - 0.591069080571671510, -0.806620940710169650, 0.590914402078389520, - -0.806734261957640750, - 0.590759701858874280, -0.806847553543799220, 0.590604979918813440, - -0.806960815464479620, - 0.590450236263895920, -0.807074047715517610, 0.590295470899810940, - -0.807187250292749850, - 0.590140683832248940, -0.807300423192014450, 0.589985875066900920, - -0.807413566409150190, - 0.589831044609458900, -0.807526679939997160, 0.589676192465615420, - -0.807639763780396370, - 0.589521318641063940, -0.807752817926190360, 0.589366423141498790, - -0.807865842373222120, - 0.589211505972615070, -0.807978837117336310, 0.589056567140108460, - -0.808091802154378260, - 0.588901606649675840, -0.808204737480194720, 0.588746624507014650, - -0.808317643090633250, - 0.588591620717822890, -0.808430518981542720, 0.588436595287799900, - -0.808543365148773010, - 0.588281548222645330, -0.808656181588174980, 0.588126479528059850, - -0.808768968295600850, - 0.587971389209745120, -0.808881725266903610, 0.587816277273403020, - -0.808994452497937560, - 0.587661143724736770, -0.809107149984558130, 0.587505988569450020, - -0.809219817722621750, - 0.587350811813247660, -0.809332455707985840, 0.587195613461834910, - -0.809445063936509170, - 0.587040393520918080, -0.809557642404051260, 0.586885151996203950, - -0.809670191106473090, - 0.586729888893400500, -0.809782710039636420, 0.586574604218216280, - -0.809895199199404450, - 0.586419297976360500, -0.810007658581641140, 0.586263970173543700, - -0.810120088182211600, - 0.586108620815476430, -0.810232487996982330, 0.585953249907870680, - -0.810344858021820550, - 0.585797857456438860, -0.810457198252594770, 0.585642443466894420, - -0.810569508685174630, - 0.585487007944951450, -0.810681789315430670, 0.585331550896324940, - -0.810794040139234730, - 0.585176072326730410, -0.810906261152459670, 0.585020572241884530, - -0.811018452350979470, - 0.584865050647504490, -0.811130613730669190, 0.584709507549308500, - -0.811242745287404810, - 0.584553942953015330, -0.811354847017063730, 0.584398356864344710, - -0.811466918915524250, - 0.584242749289016980, -0.811578960978665890, 0.584087120232753550, - -0.811690973202369050, - 0.583931469701276300, -0.811802955582515360, 0.583775797700308070, - -0.811914908114987680, - 0.583620104235572760, -0.812026830795669730, 0.583464389312794430, - -0.812138723620446480, - 0.583308652937698290, -0.812250586585203880, 0.583152895116010540, - -0.812362419685829120, - 0.582997115853457700, -0.812474222918210480, 0.582841315155767650, - -0.812585996278237020, - 0.582685493028668460, -0.812697739761799490, 0.582529649477889320, - -0.812809453364789160, - 0.582373784509160220, -0.812921137083098770, 0.582217898128211790, - -0.813032790912621930, - 0.582061990340775550, -0.813144414849253590, 0.581906061152583920, - -0.813256008888889380, - 0.581750110569369760, -0.813367573027426570, 0.581594138596866930, - -0.813479107260763220, - 0.581438145240810280, -0.813590611584798510, 0.581282130506935110, - -0.813702085995432700, - 0.581126094400977620, -0.813813530488567190, 0.580970036928674880, - -0.813924945060104490, - 0.580813958095764530, -0.814036329705948300, 0.580657857907985410, - -0.814147684422003360, - 0.580501736371076600, -0.814259009204175270, 0.580345593490778300, - -0.814370304048371070, - 0.580189429272831680, -0.814481568950498610, 0.580033243722978150, - -0.814592803906467270, - 0.579877036846960350, -0.814704008912187080, 0.579720808650521560, - -0.814815183963569330, - 0.579564559139405740, -0.814926329056526620, 0.579408288319357980, - -0.815037444186972220, - 0.579251996196123550, -0.815148529350820830, 0.579095682775449210, - -0.815259584543988280, - 0.578939348063081890, -0.815370609762391290, 0.578782992064769690, - -0.815481605001947770, - 0.578626614786261430, -0.815592570258576680, 0.578470216233306740, - -0.815703505528198260, - 0.578313796411655590, -0.815814410806733780, 0.578157355327059360, - -0.815925286090105390, - 0.578000892985269910, -0.816036131374236700, 0.577844409392039850, - -0.816146946655052160, - 0.577687904553122800, -0.816257731928477390, 0.577531378474272830, - -0.816368487190439200, - 0.577374831161244880, -0.816479212436865390, 0.577218262619794920, - -0.816589907663684890, - 0.577061672855679550, -0.816700572866827850, 0.576905061874655960, - -0.816811208042225290, - 0.576748429682482520, -0.816921813185809480, 0.576591776284917870, - -0.817032388293513880, - 0.576435101687721830, -0.817142933361272970, 0.576278405896654910, - -0.817253448385022230, - 0.576121688917478390, -0.817363933360698460, 0.575964950755954330, - -0.817474388284239240, - 0.575808191417845340, -0.817584813151583710, 0.575651410908915250, - -0.817695207958671680, - 0.575494609234928230, -0.817805572701444270, 0.575337786401649560, - -0.817915907375843740, - 0.575180942414845190, -0.818026211977813440, 0.575024077280281820, - -0.818136486503297620, - 0.574867191003726740, -0.818246730948241960, 0.574710283590948450, - -0.818356945308593150, - 0.574553355047715760, -0.818467129580298660, 0.574396405379798750, - -0.818577283759307490, - 0.574239434592967890, -0.818687407841569570, 0.574082442692994470, - -0.818797501823036010, - 0.573925429685650750, -0.818907565699658950, 0.573768395576709560, - -0.819017599467391500, - 0.573611340371944610, -0.819127603122188240, 0.573454264077130400, - -0.819237576660004520, - 0.573297166698042320, -0.819347520076796900, 0.573140048240456060, - -0.819457433368523280, - 0.572982908710148680, -0.819567316531142230, 0.572825748112897550, - -0.819677169560613760, - 0.572668566454481160, -0.819786992452898990, 0.572511363740678790, - -0.819896785203959810, - 0.572354139977270030, -0.820006547809759680, 0.572196895170035580, - -0.820116280266262710, - 0.572039629324757050, -0.820225982569434690, 0.571882342447216590, - -0.820335654715241840, - 0.571725034543197120, -0.820445296699652050, 0.571567705618482580, - -0.820554908518633890, - 0.571410355678857340, -0.820664490168157460, 0.571252984730106660, - -0.820774041644193650, - 0.571095592778016690, -0.820883562942714580, 0.570938179828374360, - -0.820993054059693470, - 0.570780745886967370, -0.821102514991104650, 0.570623290959583860, - -0.821211945732923550, - 0.570465815052012990, -0.821321346281126740, 0.570308318170045010, - -0.821430716631691760, - 0.570150800319470300, -0.821540056780597610, 0.569993261506080650, - -0.821649366723823830, - 0.569835701735668110, -0.821758646457351640, 0.569678121014025710, - -0.821867895977163140, - 0.569520519346947250, -0.821977115279241550, 0.569362896740227330, - -0.822086304359571090, - 0.569205253199661200, -0.822195463214137170, 0.569047588731045220, - -0.822304591838926350, - 0.568889903340175970, -0.822413690229926390, 0.568732197032851160, - -0.822522758383125940, - 0.568574469814869250, -0.822631796294514990, 0.568416721692029390, - -0.822740803960084420, - 0.568258952670131490, -0.822849781375826320, 0.568101162754976570, - -0.822958728537734000, - 0.567943351952365670, -0.823067645441801670, 0.567785520268101250, - -0.823176532084024860, - 0.567627667707986230, -0.823285388460400110, 0.567469794277824620, - -0.823394214566925080, - 0.567311899983420800, -0.823503010399598390, 0.567153984830580100, - -0.823611775954420260, - 0.566996048825108680, -0.823720511227391320, 0.566838091972813320, - -0.823829216214513990, - 0.566680114279501710, -0.823937890911791370, 0.566522115750982100, - -0.824046535315227760, - 0.566364096393063950, -0.824155149420828570, 0.566206056211556840, - -0.824263733224600450, - 0.566047995212271560, -0.824372286722551250, 0.565889913401019570, - -0.824480809910689500, - 0.565731810783613230, -0.824589302785025290, 0.565573687365865440, - -0.824697765341569470, - 0.565415543153589770, -0.824806197576334330, 0.565257378152600910, - -0.824914599485333080, - 0.565099192368714090, -0.825022971064580220, 0.564940985807745320, - -0.825131312310090960, - 0.564782758475511400, -0.825239623217882130, 0.564624510377830120, - -0.825347903783971380, - 0.564466241520519500, -0.825456154004377440, 0.564307951909398750, - -0.825564373875120490, - 0.564149641550287680, -0.825672563392221390, 0.563991310449007080, - -0.825780722551702430, - 0.563832958611378170, -0.825888851349586780, 0.563674586043223180, - -0.825996949781898970, - 0.563516192750364910, -0.826105017844664610, 0.563357778738627020, - -0.826213055533910110, - 0.563199344013834090, -0.826321062845663420, 0.563040888581811230, - -0.826429039775953390, - 0.562882412448384550, -0.826536986320809960, 0.562723915619380400, - -0.826644902476264210, - 0.562565398100626560, -0.826752788238348520, 0.562406859897951140, - -0.826860643603096080, - 0.562248301017183150, -0.826968468566541490, 0.562089721464152480, - -0.827076263124720270, - 0.561931121244689470, -0.827184027273669020, 0.561772500364625450, - -0.827291761009425810, - 0.561613858829792420, -0.827399464328029350, 0.561455196646023280, - -0.827507137225519830, - 0.561296513819151470, -0.827614779697938400, 0.561137810355011530, - -0.827722391741327220, - 0.560979086259438260, -0.827829973351729810, 0.560820341538267540, - -0.827937524525190870, - 0.560661576197336030, -0.828045045257755800, 0.560502790242481060, - -0.828152535545471410, - 0.560343983679540860, -0.828259995384385550, 0.560185156514354080, - -0.828367424770547480, - 0.560026308752760380, -0.828474823700007130, 0.559867440400600320, - -0.828582192168815790, - 0.559708551463714790, -0.828689530173025710, 0.559549641947945870, - -0.828796837708690610, - 0.559390711859136140, -0.828904114771864870, 0.559231761203129010, - -0.829011361358604430, - 0.559072789985768480, -0.829118577464965980, 0.558913798212899770, - -0.829225763087007570, - 0.558754785890368310, -0.829332918220788250, 0.558595753024020760, - -0.829440042862368170, - 0.558436699619704100, -0.829547137007808800, 0.558277625683266330, - -0.829654200653172640, - 0.558118531220556100, -0.829761233794523050, 0.557959416237422960, - -0.829868236427924840, - 0.557800280739717100, -0.829975208549443840, 0.557641124733289420, - -0.830082150155146970, - 0.557481948223991660, -0.830189061241102370, 0.557322751217676160, - -0.830295941803379070, - 0.557163533720196340, -0.830402791838047550, 0.557004295737406060, - -0.830509611341179070, - 0.556845037275160100, -0.830616400308846200, 0.556685758339313890, - -0.830723158737122880, - 0.556526458935723720, -0.830829886622083570, 0.556367139070246490, - -0.830936583959804410, - 0.556207798748739930, -0.831043250746362320, 0.556048437977062720, - -0.831149886977835430, - 0.555889056761073920, -0.831256492650303210, 0.555729655106633520, - -0.831363067759845920, - 0.555570233019602290, -0.831469612302545240, 0.555410790505841740, - -0.831576126274483630, - 0.555251327571214090, -0.831682609671745120, 0.555091844221582420, - -0.831789062490414400, - 0.554932340462810370, -0.831895484726577590, 0.554772816300762580, - -0.832001876376321840, - 0.554613271741304040, -0.832108237435735480, 0.554453706790301040, - -0.832214567900907980, - 0.554294121453620110, -0.832320867767929680, 0.554134515737128910, - -0.832427137032892280, - 0.553974889646695610, -0.832533375691888680, 0.553815243188189090, - -0.832639583741012770, - 0.553655576367479310, -0.832745761176359460, 0.553495889190436570, - -0.832851907994024980, - 0.553336181662932410, -0.832958024190106670, 0.553176453790838460, - -0.833064109760702890, - 0.553016705580027580, -0.833170164701913190, 0.552856937036373290, - -0.833276189009838240, - 0.552697148165749770, -0.833382182680579730, 0.552537338974032120, - -0.833488145710240770, - 0.552377509467096070, -0.833594078094925140, 0.552217659650817930, - -0.833699979830738290, - 0.552057789531074980, -0.833805850913786340, 0.551897899113745320, - -0.833911691340176730, - 0.551737988404707450, -0.834017501106018130, 0.551578057409841000, - -0.834123280207419990, - 0.551418106135026060, -0.834229028640493420, 0.551258134586143700, - -0.834334746401350080, - 0.551098142769075430, -0.834440433486103190, 0.550938130689703880, - -0.834546089890866760, - 0.550778098353912230, -0.834651715611756330, 0.550618045767584330, - -0.834757310644888230, - 0.550457972936604810, -0.834862874986380010, 0.550297879866859190, - -0.834968408632350450, - 0.550137766564233630, -0.835073911578919300, 0.549977633034615000, - -0.835179383822207580, - 0.549817479283891020, -0.835284825358337370, 0.549657305317949980, - -0.835390236183431780, - 0.549497111142680960, -0.835495616293615350, 0.549336896763974010, - -0.835600965685013410, - 0.549176662187719770, -0.835706284353752600, 0.549016407419809390, - -0.835811572295960590, - 0.548856132466135290, -0.835916829507766360, 0.548695837332590090, - -0.836022055985299880, - 0.548535522025067390, -0.836127251724692160, 0.548375186549461600, - -0.836232416722075600, - 0.548214830911667780, -0.836337550973583530, 0.548054455117581880, - -0.836442654475350380, - 0.547894059173100190, -0.836547727223511890, 0.547733643084120200, - -0.836652769214204950, - 0.547573206856539870, -0.836757780443567190, 0.547412750496257930, - -0.836862760907737810, - 0.547252274009174090, -0.836967710602857020, 0.547091777401188530, - -0.837072629525066000, - 0.546931260678202190, -0.837177517670507190, 0.546770723846116800, - -0.837282375035324320, - 0.546610166910834860, -0.837387201615661940, 0.546449589878259760, - -0.837491997407665890, - 0.546288992754295210, -0.837596762407483040, 0.546128375544846060, - -0.837701496611261700, - 0.545967738255817680, -0.837806200015150940, 0.545807080893116140, - -0.837910872615301060, - 0.545646403462648590, -0.838015514407863700, 0.545485705970322530, - -0.838120125388991500, - 0.545324988422046460, -0.838224705554837970, 0.545164250823729320, - -0.838329254901558300, - 0.545003493181281160, -0.838433773425308340, 0.544842715500612470, - -0.838538261122245170, - 0.544681917787634530, -0.838642717988527300, 0.544521100048259710, - -0.838747144020313920, - 0.544360262288400400, -0.838851539213765760, 0.544199404513970420, - -0.838955903565044350, - 0.544038526730883930, -0.839060237070312630, 0.543877628945055980, - -0.839164539725734570, - 0.543716711162402390, -0.839268811527475230, 0.543555773388839650, - -0.839373052471700690, - 0.543394815630284800, -0.839477262554578550, 0.543233837892656000, - -0.839581441772277120, - 0.543072840181871850, -0.839685590120966110, 0.542911822503851730, - -0.839789707596816260, - 0.542750784864516000, -0.839893794195999410, 0.542589727269785270, - -0.839997849914688730, - 0.542428649725581360, -0.840101874749058400, 0.542267552237826520, - -0.840205868695283580, - 0.542106434812444030, -0.840309831749540770, 0.541945297455357470, - -0.840413763908007480, - 0.541784140172491660, -0.840517665166862440, 0.541622962969771640, - -0.840621535522285690, - 0.541461765853123560, -0.840725374970458070, 0.541300548828474120, - -0.840829183507561640, - 0.541139311901750910, -0.840932961129779670, 0.540978055078882190, - -0.841036707833296650, - 0.540816778365796670, -0.841140423614298080, 0.540655481768424260, - -0.841244108468970580, - 0.540494165292695230, -0.841347762393501950, 0.540332828944540820, - -0.841451385384081260, - 0.540171472729892970, -0.841554977436898330, 0.540010096654684020, - -0.841658538548144760, - 0.539848700724847700, -0.841762068714012490, 0.539687284946317570, - -0.841865567930695340, - 0.539525849325029010, -0.841969036194387680, 0.539364393866917150, - -0.842072473501285450, - 0.539202918577918240, -0.842175879847585570, 0.539041423463969550, - -0.842279255229485880, - 0.538879908531008420, -0.842382599643185960, 0.538718373784973670, - -0.842485913084885630, - 0.538556819231804210, -0.842589195550786600, 0.538395244877439950, - -0.842692447037091560, - 0.538233650727821700, -0.842795667540004120, 0.538072036788890600, - -0.842898857055729310, - 0.537910403066588990, -0.843002015580472830, 0.537748749566859470, - -0.843105143110442050, - 0.537587076295645510, -0.843208239641845440, 0.537425383258891660, - -0.843311305170892030, - 0.537263670462542530, -0.843414339693792760, 0.537101937912544240, - -0.843517343206759080, - 0.536940185614843020, -0.843620315706004040, 0.536778413575385920, - -0.843723257187741550, - 0.536616621800121150, -0.843826167648186740, 0.536454810294997090, - -0.843929047083555870, - 0.536292979065963180, -0.844031895490066410, 0.536131128118969350, - -0.844134712863936930, - 0.535969257459966710, -0.844237499201387020, 0.535807367094906620, - -0.844340254498637590, - 0.535645457029741090, -0.844442978751910660, 0.535483527270423370, - -0.844545671957429240, - 0.535321577822907010, -0.844648334111417820, 0.535159608693146720, - -0.844750965210101510, - 0.534997619887097260, -0.844853565249707010, 0.534835611410714670, - -0.844956134226462100, - 0.534673583269955510, -0.845058672136595470, 0.534511535470777010, - -0.845161178976337140, - 0.534349468019137520, -0.845263654741918220, 0.534187380920995600, - -0.845366099429570970, - 0.534025274182310380, -0.845468513035528830, 0.533863147809042650, - -0.845570895556026270, - 0.533701001807152960, -0.845673246987299070, 0.533538836182603120, - -0.845775567325583900, - 0.533376650941355560, -0.845877856567118890, 0.533214446089372960, - -0.845980114708143270, - 0.533052221632619670, -0.846082341744896940, 0.532889977577059690, - -0.846184537673621670, - 0.532727713928658810, -0.846286702490559710, 0.532565430693382580, - -0.846388836191954930, - 0.532403127877198010, -0.846490938774052020, 0.532240805486072330, - -0.846593010233097190, - 0.532078463525973540, -0.846695050565337450, 0.531916102002870760, - -0.846797059767020910, - 0.531753720922733320, -0.846899037834397350, 0.531591320291531780, - -0.847000984763716880, - 0.531428900115236910, -0.847102900551231500, 0.531266460399820390, - -0.847204785193193980, - 0.531104001151255000, -0.847306638685858320, 0.530941522375513510, - -0.847408461025479730, - 0.530779024078570250, -0.847510252208314330, 0.530616506266399450, - -0.847612012230619660, - 0.530453968944976320, -0.847713741088654270, 0.530291412120277420, - -0.847815438778677930, - 0.530128835798278850, -0.847917105296951410, 0.529966239984958620, - -0.848018740639736810, - 0.529803624686294830, -0.848120344803297120, 0.529640989908265910, - -0.848221917783896990, - 0.529478335656852090, -0.848323459577801530, 0.529315661938033140, - -0.848424970181277600, - 0.529152968757790720, -0.848526449590592650, 0.528990256122106040, - -0.848627897802015860, - 0.528827524036961980, -0.848729314811817010, 0.528664772508341540, - -0.848830700616267530, - 0.528502001542228480, -0.848932055211639610, 0.528339211144607690, - -0.849033378594206690, - 0.528176401321464370, -0.849134670760243630, 0.528013572078784740, - -0.849235931706025960, - 0.527850723422555460, -0.849337161427830670, 0.527687855358763720, - -0.849438359921935950, - 0.527524967893398200, -0.849539527184620890, 0.527362061032447430, - -0.849640663212165910, - 0.527199134781901390, -0.849741768000852440, 0.527036189147750190, - -0.849842841546963210, - 0.526873224135984700, -0.849943883846782210, 0.526710239752597010, - -0.850044894896594070, - 0.526547236003579330, -0.850145874692685210, 0.526384212894925210, - -0.850246823231342710, - 0.526221170432628170, -0.850347740508854980, 0.526058108622682760, - -0.850448626521511650, - 0.525895027471084740, -0.850549481265603370, 0.525731926983829640, - -0.850650304737422200, - 0.525568807166914680, -0.850751096933260790, 0.525405668026336810, - -0.850851857849413640, - 0.525242509568094710, -0.850952587482175730, 0.525079331798186890, - -0.851053285827843790, - 0.524916134722612890, -0.851153952882715340, 0.524752918347373360, - -0.851254588643089120, - 0.524589682678468840, -0.851355193105265200, 0.524426427721901510, - -0.851455766265544310, - 0.524263153483673470, -0.851556308120228870, 0.524099859969787810, - -0.851656818665622370, - 0.523936547186248600, -0.851757297898029120, 0.523773215139060170, - -0.851857745813754840, - 0.523609863834228030, -0.851958162409106380, 0.523446493277757940, - -0.852058547680391580, - 0.523283103475656430, -0.852158901623919830, 0.523119694433931250, - -0.852259224236001090, - 0.522956266158590140, -0.852359515512947090, 0.522792818655642200, - -0.852459775451070100, - 0.522629351931096720, -0.852560004046683970, 0.522465865990963900, - -0.852660201296103760, - 0.522302360841254700, -0.852760367195645300, 0.522138836487980650, - -0.852860501741625860, - 0.521975292937154390, -0.852960604930363630, 0.521811730194788550, - -0.853060676758178320, - 0.521648148266897090, -0.853160717221390420, 0.521484547159494550, - -0.853260726316321770, - 0.521320926878595550, -0.853360704039295430, 0.521157287430216610, - -0.853460650386635320, - 0.520993628820373810, -0.853560565354666840, 0.520829951055084780, - -0.853660448939716270, - 0.520666254140367270, -0.853760301138111300, 0.520502538082239790, - -0.853860121946180660, - 0.520338802886721960, -0.853959911360254060, 0.520175048559833760, - -0.854059669376662780, - 0.520011275107596040, -0.854159395991738730, 0.519847482536030300, - -0.854259091201815420, - 0.519683670851158520, -0.854358755003227440, 0.519519840059003870, - -0.854458387392310060, - 0.519355990165589530, -0.854557988365400530, 0.519192121176940360, - -0.854657557918836460, - 0.519028233099080970, -0.854757096048957110, 0.518864325938037000, - -0.854856602752102850, - 0.518700399699835170, -0.854956078024614820, 0.518536454390502110, - -0.855055521862835950, - 0.518372490016066220, -0.855154934263109620, 0.518208506582555460, - -0.855254315221781080, - 0.518044504095999340, -0.855353664735196030, 0.517880482562427800, - -0.855452982799701830, - 0.517716441987871150, -0.855552269411646970, 0.517552382378360990, - -0.855651524567380690, - 0.517388303739929060, -0.855750748263253920, 0.517224206078608310, - -0.855849940495618240, - 0.517060089400432130, -0.855949101260826790, 0.516895953711434260, - -0.856048230555233820, - 0.516731799017649980, -0.856147328375194470, 0.516567625325114350, - -0.856246394717065210, - 0.516403432639863990, -0.856345429577203610, 0.516239220967935620, - -0.856444432951968480, - 0.516074990315366630, -0.856543404837719960, 0.515910740688195650, - -0.856642345230818720, - 0.515746472092461380, -0.856741254127627470, 0.515582184534203790, - -0.856840131524509220, - 0.515417878019463150, -0.856938977417828650, 0.515253552554280290, - -0.857037791803951680, - 0.515089208144697270, -0.857136574679244870, 0.514924844796756490, - -0.857235326040076460, - 0.514760462516501200, -0.857334045882815590, 0.514596061309975040, - -0.857432734203832700, - 0.514431641183222930, -0.857531390999499040, 0.514267202142289830, - -0.857630016266187620, - 0.514102744193221660, -0.857728610000272120, 0.513938267342065490, - -0.857827172198127320, - 0.513773771594868030, -0.857925702856129790, 0.513609256957677900, - -0.858024201970656540, - 0.513444723436543570, -0.858122669538086020, 0.513280171037514330, - -0.858221105554798250, - 0.513115599766640560, -0.858319510017173440, 0.512951009629972860, - -0.858417882921594040, - 0.512786400633563070, -0.858516224264442740, 0.512621772783463100, - -0.858614534042104080, - 0.512457126085725800, -0.858712812250963520, 0.512292460546404980, - -0.858811058887407500, - 0.512127776171554690, -0.858909273947823900, 0.511963072967230200, - -0.859007457428601410, - 0.511798350939487000, -0.859105609326130340, 0.511633610094381350, - -0.859203729636801920, - 0.511468850437970520, -0.859301818357008360, 0.511304071976311890, - -0.859399875483143450, - 0.511139274715464390, -0.859497901011601620, 0.510974458661486720, - -0.859595894938779080, - 0.510809623820439040, -0.859693857261072610, 0.510644770198381730, - -0.859791787974880540, - 0.510479897801375700, -0.859889687076602290, 0.510315006635483350, - -0.859987554562638200, - 0.510150096706766700, -0.860085390429390140, 0.509985168021289570, - -0.860183194673260880, - 0.509820220585115560, -0.860280967290654510, 0.509655254404309250, - -0.860378708277976130, - 0.509490269484936360, -0.860476417631632070, 0.509325265833062480, - -0.860574095348029980, - 0.509160243454754750, -0.860671741423578380, 0.508995202356080310, - -0.860769355854687060, - 0.508830142543106990, -0.860866938637767310, 0.508665064021904260, - -0.860964489769230900, - 0.508499966798540810, -0.861062009245491480, 0.508334850879087470, - -0.861159497062963350, - 0.508169716269614710, -0.861256953218062060, 0.508004562976194010, - -0.861354377707204800, - 0.507839391004897940, -0.861451770526809210, 0.507674200361798890, - -0.861549131673294720, - 0.507508991052970870, -0.861646461143081300, 0.507343763084487920, - -0.861743758932590700, - 0.507178516462425290, -0.861841025038245330, 0.507013251192858340, - -0.861938259456469180, - 0.506847967281863320, -0.862035462183687210, 0.506682664735517600, - -0.862132633216325380, - 0.506517343559898530, -0.862229772550811240, 0.506352003761084800, - -0.862326880183573060, - 0.506186645345155450, -0.862423956111040500, 0.506021268318189830, - -0.862521000329644520, - 0.505855872686268860, -0.862618012835816740, 0.505690458455473340, - -0.862714993625990690, - 0.505525025631885510, -0.862811942696600330, 0.505359574221587390, - -0.862908860044081290, - 0.505194104230662240, -0.863005745664870210, 0.505028615665194300, - -0.863102599555404800, - 0.504863108531267480, -0.863199421712124160, 0.504697582834967680, - -0.863296212131468230, - 0.504532038582380380, -0.863392970809878310, 0.504366475779592150, - -0.863489697743797140, - 0.504200894432690560, -0.863586392929667990, 0.504035294547763080, - -0.863683056363935940, - 0.503869676130898950, -0.863779688043046610, 0.503704039188186960, - -0.863876287963447510, - 0.503538383725717580, -0.863972856121586700, 0.503372709749581150, - -0.864069392513913680, - 0.503207017265869030, -0.864165897136879300, 0.503041306280673450, - -0.864262369986934950, - 0.502875576800086880, -0.864358811060534030, 0.502709828830203100, - -0.864455220354130250, - 0.502544062377115800, -0.864551597864179230, 0.502378277446919870, - -0.864647943587137480, - 0.502212474045710900, -0.864744257519462380, 0.502046652179584660, - -0.864840539657612980, - 0.501880811854638400, -0.864936789998049020, 0.501714953076969230, - -0.865033008537231750, - 0.501549075852675390, -0.865129195271623690, 0.501383180187855880, - -0.865225350197688090, - 0.501217266088609950, -0.865321473311889800, 0.501051333561038040, - -0.865417564610694410, - 0.500885382611240940, -0.865513624090568980, 0.500719413245319880, - -0.865609651747981880, - 0.500553425469377640, -0.865705647579402270, 0.500387419289516580, - -0.865801611581300760, - 0.500221394711840680, -0.865897543750148820, 0.500055351742453860, - -0.865993444082419520, - 0.499889290387461380, -0.866089312574586770, 0.499723210652968710, - -0.866185149223125730, - 0.499557112545081890, -0.866280954024512990, 0.499390996069908220, - -0.866376726975225830, - 0.499224861233555030, -0.866472468071743050, 0.499058708042130930, - -0.866568177310544360, - 0.498892536501744750, -0.866663854688111020, 0.498726346618505960, - -0.866759500200925290, - 0.498560138398525200, -0.866855113845470320, 0.498393911847913150, - -0.866950695618231020, - 0.498227666972781870, -0.867046245515692650, 0.498061403779243520, - -0.867141763534342360, - 0.497895122273410930, -0.867237249670668400, 0.497728822461398100, - -0.867332703921159690, - 0.497562504349319090, -0.867428126282306920, 0.497396167943289340, - -0.867523516750601460, - 0.497229813249424340, -0.867618875322536230, 0.497063440273840310, - -0.867714201994605140, - 0.496897049022654640, -0.867809496763303210, 0.496730639501984710, - -0.867904759625126920, - 0.496564211717949340, -0.867999990576573400, 0.496397765676667160, - -0.868095189614141670, - 0.496231301384258310, -0.868190356734331310, 0.496064818846843060, - -0.868285491933643240, - 0.495898318070542240, -0.868380595208579800, 0.495731799061478020, - -0.868475666555644120, - 0.495565261825772490, -0.868570705971340900, 0.495398706369549080, - -0.868665713452175580, - 0.495232132698931350, -0.868760688994655190, 0.495065540820043610, - -0.868855632595287750, - 0.494898930739011310, -0.868950544250582380, 0.494732302461959820, - -0.869045423957049530, - 0.494565655995016010, -0.869140271711200560, 0.494398991344306760, - -0.869235087509548250, - 0.494232308515959730, -0.869329871348606730, 0.494065607516103730, - -0.869424623224890780, - 0.493898888350867430, -0.869519343134916970, 0.493732151026381070, - -0.869614031075202300, - 0.493565395548774880, -0.869708687042265560, 0.493398621924179830, - -0.869803311032626650, - 0.493231830158728070, -0.869897903042806340, 0.493065020258551650, - -0.869992463069326870, - 0.492898192229784090, -0.870086991108711350, 0.492731346078558840, - -0.870181487157484560, - 0.492564481811010650, -0.870275951212171830, 0.492397599433274550, - -0.870370383269300160, - 0.492230698951486080, -0.870464783325397670, 0.492063780371782060, - -0.870559151376993250, - 0.491896843700299240, -0.870653487420617540, 0.491729888943175820, - -0.870747791452801790, - 0.491562916106550060, -0.870842063470078860, 0.491395925196560830, - -0.870936303468982760, - 0.491228916219348330, -0.871030511446048260, 0.491061889181052590, - -0.871124687397811900, - 0.490894844087815140, -0.871218831320810900, 0.490727780945777570, - -0.871312943211583920, - 0.490560699761082080, -0.871407023066670950, 0.490393600539872130, - -0.871501070882612530, - 0.490226483288291100, -0.871595086655951090, 0.490059348012483910, - -0.871689070383229740, - 0.489892194718595300, -0.871783022060993010, 0.489725023412770970, - -0.871876941685786890, - 0.489557834101157550, -0.871970829254157700, 0.489390626789901920, - -0.872064684762653970, - 0.489223401485152030, -0.872158508207824480, 0.489056158193055980, - -0.872252299586219860, - 0.488888896919763230, -0.872346058894391540, 0.488721617671423250, - -0.872439786128892280, - 0.488554320454186230, -0.872533481286276060, 0.488387005274203590, - -0.872627144363097960, - 0.488219672137626740, -0.872720775355914300, 0.488052321050608310, - -0.872814374261282390, - 0.487884952019301210, -0.872907941075760970, 0.487717565049858860, - -0.873001475795909920, - 0.487550160148436050, -0.873094978418290090, 0.487382737321187310, - -0.873188448939463790, - 0.487215296574268820, -0.873281887355994210, 0.487047837913836550, - -0.873375293664446000, - 0.486880361346047400, -0.873468667861384880, 0.486712866877059340, - -0.873562009943377740, - 0.486545354513030270, -0.873655319906992630, 0.486377824260119500, - -0.873748597748798870, - 0.486210276124486530, -0.873841843465366750, 0.486042710112291390, - -0.873935057053268130, - 0.485875126229695420, -0.874028238509075630, 0.485707524482859750, - -0.874121387829363330, - 0.485539904877947020, -0.874214505010706300, 0.485372267421119770, - -0.874307590049680950, - 0.485204612118541880, -0.874400642942864790, 0.485036938976377450, - -0.874493663686836450, - 0.484869248000791120, -0.874586652278176110, 0.484701539197948730, - -0.874679608713464510, - 0.484533812574016120, -0.874772532989284150, 0.484366068135160480, - -0.874865425102218210, - 0.484198305887549140, -0.874958285048851540, 0.484030525837350010, - -0.875051112825769970, - 0.483862727990732320, -0.875143908429560250, 0.483694912353865080, - -0.875236671856810870, - 0.483527078932918740, -0.875329403104110780, 0.483359227734063980, - -0.875422102168050830, - 0.483191358763471910, -0.875514769045222740, 0.483023472027315050, - -0.875607403732219240, - 0.482855567531765670, -0.875700006225634600, 0.482687645282997510, - -0.875792576522063880, - 0.482519705287184520, -0.875885114618103700, 0.482351747550501030, - -0.875977620510351660, - 0.482183772079122830, -0.876070094195406600, 0.482015778879225530, - -0.876162535669868460, - 0.481847767956986080, -0.876254944930338400, 0.481679739318581490, - -0.876347321973419020, - 0.481511692970189920, -0.876439666795713610, 0.481343628917989870, - -0.876531979393827100, - 0.481175547168160360, -0.876624259764365310, 0.481007447726881640, - -0.876716507903935400, - 0.480839330600333900, -0.876808723809145760, 0.480671195794698690, - -0.876900907476605650, - 0.480503043316157670, -0.876993058902925780, 0.480334873170893070, - -0.877085178084718310, - 0.480166685365088440, -0.877177265018595940, 0.479998479904927220, - -0.877269319701173170, - 0.479830256796594250, -0.877361342129065140, 0.479662016046274340, - -0.877453332298888560, - 0.479493757660153060, -0.877545290207261240, 0.479325481644417130, - -0.877637215850802120, - 0.479157188005253310, -0.877729109226131570, 0.478988876748849550, - -0.877820970329870500, - 0.478820547881394050, -0.877912799158641730, 0.478652201409075550, - -0.878004595709069080, - 0.478483837338084080, -0.878096359977777130, 0.478315455674609480, - -0.878188091961392250, - 0.478147056424843120, -0.878279791656541460, 0.477978639594976110, - -0.878371459059853590, - 0.477810205191201040, -0.878463094167957870, 0.477641753219710590, - -0.878554696977485340, - 0.477473283686698060, -0.878646267485068130, 0.477304796598358010, - -0.878737805687339280, - 0.477136291960884750, -0.878829311580933360, 0.476967769780474230, - -0.878920785162485840, - 0.476799230063322250, -0.879012226428633410, 0.476630672815625380, - -0.879103635376014330, - 0.476462098043581310, -0.879195012001267370, 0.476293505753387750, - -0.879286356301033250, - 0.476124895951243630, -0.879377668271953180, 0.475956268643348220, - -0.879468947910670100, - 0.475787623835901120, -0.879560195213827890, 0.475618961535103410, - -0.879651410178071470, - 0.475450281747155870, -0.879742592800047410, 0.475281584478260800, - -0.879833743076402940, - 0.475112869734620470, -0.879924861003786860, 0.474944137522437860, - -0.880015946578848960, - 0.474775387847917230, -0.880106999798240360, 0.474606620717262560, - -0.880198020658613190, - 0.474437836136679340, -0.880289009156620890, 0.474269034112372920, - -0.880379965288918260, - 0.474100214650550020, -0.880470889052160750, 0.473931377757417560, - -0.880561780443005590, - 0.473762523439182850, -0.880652639458111010, 0.473593651702054640, - -0.880743466094136230, - 0.473424762552241530, -0.880834260347742040, 0.473255855995953380, - -0.880925022215589880, - 0.473086932039400220, -0.881015751694342760, 0.472917990688792760, - -0.881106448780665130, - 0.472749031950342900, -0.881197113471221980, 0.472580055830262250, - -0.881287745762680100, - 0.472411062334764100, -0.881378345651706810, 0.472242051470061650, - -0.881468913134971330, - 0.472073023242368660, -0.881559448209143780, 0.471903977657900320, - -0.881649950870895260, - 0.471734914722871430, -0.881740421116898320, 0.471565834443498480, - -0.881830858943826620, - 0.471396736825997810, -0.881921264348354940, 0.471227621876586400, - -0.882011637327159590, - 0.471058489601482610, -0.882101977876917580, 0.470889340006904520, - -0.882192285994307430, - 0.470720173099071710, -0.882282561676008600, 0.470550988884203490, - -0.882372804918702290, - 0.470381787368520710, -0.882463015719070040, 0.470212568558244280, - -0.882553194073795400, - 0.470043332459595620, -0.882643339979562790, 0.469874079078797470, - -0.882733453433057540, - 0.469704808422072460, -0.882823534430966730, 0.469535520495644510, - -0.882913582969978020, - 0.469366215305737630, -0.883003599046780720, 0.469196892858576630, - -0.883093582658065370, - 0.469027553160387240, -0.883183533800523280, 0.468858196217395330, - -0.883273452470847430, - 0.468688822035827960, -0.883363338665731580, 0.468519430621912420, - -0.883453192381870920, - 0.468350021981876530, -0.883543013615961880, 0.468180596121949400, - -0.883632802364701760, - 0.468011153048359830, -0.883722558624789660, 0.467841692767338220, - -0.883812282392925090, - 0.467672215285114710, -0.883901973665809470, 0.467502720607920920, - -0.883991632440144890, - 0.467333208741988530, -0.884081258712634990, 0.467163679693549770, - -0.884170852479984500, - 0.466994133468838110, -0.884260413738899080, 0.466824570074086950, - -0.884349942486086120, - 0.466654989515530970, -0.884439438718253700, 0.466485391799405010, - -0.884528902432111350, - 0.466315776931944480, -0.884618333624369920, 0.466146144919386000, - -0.884707732291740930, - 0.465976495767966130, -0.884797098430937790, 0.465806829483922770, - -0.884886432038674560, - 0.465637146073493770, -0.884975733111666660, 0.465467445542917800, - -0.885065001646630930, - 0.465297727898434650, -0.885154237640285110, 0.465127993146283950, - -0.885243441089348270, - 0.464958241292706740, -0.885332611990540590, 0.464788472343944160, - -0.885421750340583570, - 0.464618686306237820, -0.885510856136199950, 0.464448883185830770, - -0.885599929374113360, - 0.464279062988965760, -0.885688970051048960, 0.464109225721887010, - -0.885777978163732940, - 0.463939371390838460, -0.885866953708892790, 0.463769500002065680, - -0.885955896683257030, - 0.463599611561814120, -0.886044807083555490, 0.463429706076329880, - -0.886133684906519340, - 0.463259783551860260, -0.886222530148880640, 0.463089843994652470, - -0.886311342807372890, - 0.462919887410955130, -0.886400122878730490, 0.462749913807016850, - -0.886488870359689600, - 0.462579923189086810, -0.886577585246987040, 0.462409915563415540, - -0.886666267537360890, - 0.462239890936253280, -0.886754917227550950, 0.462069849313851810, - -0.886843534314297300, - 0.461899790702462840, -0.886932118794342080, 0.461729715108338770, - -0.887020670664428360, - 0.461559622537733190, -0.887109189921300060, 0.461389512996899450, - -0.887197676561702900, - 0.461219386492092430, -0.887286130582383150, 0.461049243029567010, - -0.887374551980088740, - 0.460879082615578690, -0.887462940751568840, 0.460708905256384190, - -0.887551296893573370, - 0.460538710958240010, -0.887639620402853930, 0.460368499727404070, - -0.887727911276163020, - 0.460198271570134270, -0.887816169510254550, 0.460028026492689700, - -0.887904395101883240, - 0.459857764501329650, -0.887992588047805560, 0.459687485602313870, - -0.888080748344778900, - 0.459517189801903590, -0.888168875989561620, 0.459346877106359570, - -0.888256970978913870, - 0.459176547521944150, -0.888345033309596240, 0.459006201054919680, - -0.888433062978371320, - 0.458835837711549120, -0.888521059982002260, 0.458665457498096670, - -0.888609024317253750, - 0.458495060420826220, -0.888696955980891710, 0.458324646486003300, - -0.888784854969682850, - 0.458154215699893230, -0.888872721280395520, 0.457983768068762180, - -0.888960554909799310, - 0.457813303598877290, -0.889048355854664570, 0.457642822296505770, - -0.889136124111763240, - 0.457472324167916110, -0.889223859677868210, 0.457301809219376800, - -0.889311562549753850, - 0.457131277457156980, -0.889399232724195520, 0.456960728887527030, - -0.889486870197969790, - 0.456790163516757220, -0.889574474967854580, 0.456619581351118960, - -0.889662047030628790, - 0.456448982396883860, -0.889749586383072890, 0.456278366660324670, - -0.889837093021967900, - 0.456107734147714220, -0.889924566944096720, 0.455937084865326030, - -0.890012008146243260, - 0.455766418819434750, -0.890099416625192210, 0.455595736016314920, - -0.890186792377730240, - 0.455425036462242420, -0.890274135400644480, 0.455254320163493210, - -0.890361445690723730, - 0.455083587126343840, -0.890448723244757880, 0.454912837357072050, - -0.890535968059537830, - 0.454742070861955450, -0.890623180131855930, 0.454571287647273000, - -0.890710359458505520, - 0.454400487719303750, -0.890797506036281490, 0.454229671084327320, - -0.890884619861979530, - 0.454058837748624540, -0.890971700932396750, 0.453887987718476050, - -0.891058749244331590, - 0.453717121000163930, -0.891145764794583180, 0.453546237599970260, - -0.891232747579952520, - 0.453375337524177750, -0.891319697597241390, 0.453204420779070300, - -0.891406614843252900, - 0.453033487370931580, -0.891493499314791380, 0.452862537306046810, - -0.891580351008662290, - 0.452691570590700860, -0.891667169921672390, 0.452520587231180100, - -0.891753956050629460, - 0.452349587233771000, -0.891840709392342720, 0.452178570604760410, - -0.891927429943622510, - 0.452007537350436530, -0.892014117701280360, 0.451836487477087430, - -0.892100772662129170, - 0.451665420991002540, -0.892187394822982480, 0.451494337898471210, - -0.892273984180655730, - 0.451323238205783520, -0.892360540731965360, 0.451152121919230710, - -0.892447064473728680, - 0.450980989045103810, -0.892533555402764690, 0.450809839589695340, - -0.892620013515893040, - 0.450638673559297760, -0.892706438809935280, 0.450467490960204110, - -0.892792831281713610, - 0.450296291798708730, -0.892879190928051680, 0.450125076081105750, - -0.892965517745774260, - 0.449953843813690580, -0.893051811731707450, 0.449782595002758860, - -0.893138072882678210, - 0.449611329654606600, -0.893224301195515320, 0.449440047775531260, - -0.893310496667048090, - 0.449268749371829920, -0.893396659294107610, 0.449097434449801100, - -0.893482789073525850, - 0.448926103015743260, -0.893568886002136020, 0.448754755075956020, - -0.893654950076772430, - 0.448583390636739300, -0.893740981294271040, 0.448412009704393430, - -0.893826979651468620, - 0.448240612285220000, -0.893912945145203250, 0.448069198385520340, - -0.893998877772314240, - 0.447897768011597310, -0.894084777529641990, 0.447726321169753750, - -0.894170644414028270, - 0.447554857866293010, -0.894256478422316040, 0.447383378107519710, - -0.894342279551349480, - 0.447211881899738260, -0.894428047797973800, 0.447040369249254500, - -0.894513783159035620, - 0.446868840162374330, -0.894599485631382580, 0.446697294645404090, - -0.894685155211863980, - 0.446525732704651400, -0.894770791897329550, 0.446354154346423840, - -0.894856395684630930, - 0.446182559577030120, -0.894941966570620750, 0.446010948402779110, - -0.895027504552152630, - 0.445839320829980350, -0.895113009626081760, 0.445667676864944350, - -0.895198481789264200, - 0.445496016513981740, -0.895283921038557580, 0.445324339783404240, - -0.895369327370820310, - 0.445152646679523590, -0.895454700782912450, 0.444980937208652780, - -0.895540041271694840, - 0.444809211377105000, -0.895625348834030000, 0.444637469191193790, - -0.895710623466781320, - 0.444465710657234110, -0.895795865166813420, 0.444293935781540580, - -0.895881073930992370, - 0.444122144570429260, -0.895966249756185110, 0.443950337030216250, - -0.896051392639260040, - 0.443778513167218220, -0.896136502577086770, 0.443606672987753080, - -0.896221579566535920, - 0.443434816498138430, -0.896306623604479660, 0.443262943704693380, - -0.896391634687790820, - 0.443091054613736990, -0.896476612813344010, 0.442919149231588980, - -0.896561557978014960, - 0.442747227564570130, -0.896646470178680150, 0.442575289619001170, - -0.896731349412217880, - 0.442403335401204130, -0.896816195675507190, 0.442231364917501090, - -0.896901008965428680, - 0.442059378174214760, -0.896985789278863970, 0.441887375177668960, - -0.897070536612695870, - 0.441715355934187310, -0.897155250963808550, 0.441543320450094920, - -0.897239932329087050, - 0.441371268731716620, -0.897324580705418320, 0.441199200785378660, - -0.897409196089689720, - 0.441027116617407340, -0.897493778478790190, 0.440855016234129430, - -0.897578327869610230, - 0.440682899641873020, -0.897662844259040750, 0.440510766846965880, - -0.897747327643974690, - 0.440338617855737300, -0.897831778021305650, 0.440166452674516480, - -0.897916195387928550, - 0.439994271309633260, -0.898000579740739880, 0.439822073767418610, - -0.898084931076636780, - 0.439649860054203420, -0.898169249392518080, 0.439477630176319860, - -0.898253534685283570, - 0.439305384140100060, -0.898337786951834190, 0.439133121951876930, - -0.898422006189072530, - 0.438960843617984430, -0.898506192393901840, 0.438788549144756290, - -0.898590345563227030, - 0.438616238538527710, -0.898674465693953820, 0.438443911805633860, - -0.898758552782989440, - 0.438271568952410480, -0.898842606827242260, 0.438099209985194580, - -0.898926627823621870, - 0.437926834910322860, -0.899010615769039070, 0.437754443734133470, - -0.899094570660405770, - 0.437582036462964340, -0.899178492494635330, 0.437409613103154850, - -0.899262381268642000, - 0.437237173661044200, -0.899346236979341460, 0.437064718142972370, - -0.899430059623650860, - 0.436892246555280470, -0.899513849198487870, 0.436719758904309310, - -0.899597605700772180, - 0.436547255196401250, -0.899681329127423930, 0.436374735437898510, - -0.899765019475365020, - 0.436202199635143950, -0.899848676741518580, 0.436029647794481670, - -0.899932300922808400, - 0.435857079922255470, -0.900015892016160280, 0.435684496024810520, - -0.900099450018500340, - 0.435511896108492170, -0.900182974926756700, 0.435339280179646070, - -0.900266466737858480, - 0.435166648244619370, -0.900349925448735600, 0.434994000309758710, - -0.900433351056319830, - 0.434821336381412350, -0.900516743557543520, 0.434648656465928430, - -0.900600102949340790, - 0.434475960569655710, -0.900683429228646860, 0.434303248698944100, - -0.900766722392397860, - 0.434130520860143310, -0.900849982437531450, 0.433957777059604480, - -0.900933209360986200, - 0.433785017303678520, -0.901016403159702330, 0.433612241598717640, - -0.901099563830620950, - 0.433439449951074200, -0.901182691370684410, 0.433266642367100940, - -0.901265785776836580, - 0.433093818853152010, -0.901348847046022030, 0.432920979415581220, - -0.901431875175186970, - 0.432748124060743760, -0.901514870161278630, 0.432575252794994810, - -0.901597832001245660, - 0.432402365624690140, -0.901680760692037730, 0.432229462556186770, - -0.901763656230605610, - 0.432056543595841450, -0.901846518613901860, 0.431883608750012300, - -0.901929347838879350, - 0.431710658025057370, -0.902012143902493070, 0.431537691427335500, - -0.902094906801698900, - 0.431364708963206440, -0.902177636533453510, 0.431191710639030000, - -0.902260333094715540, - 0.431018696461167080, -0.902342996482444200, 0.430845666435978820, - -0.902425626693600270, - 0.430672620569826860, -0.902508223725145830, 0.430499558869073930, - -0.902590787574043870, - 0.430326481340082610, -0.902673318237258830, 0.430153387989216930, - -0.902755815711756120, - 0.429980278822840570, -0.902838279994502830, 0.429807153847318770, - -0.902920711082466630, - 0.429634013069016500, -0.903003108972617040, 0.429460856494299490, - -0.903085473661924600, - 0.429287684129534720, -0.903167805147360610, 0.429114495981088690, - -0.903250103425898400, - 0.428941292055329550, -0.903332368494511820, 0.428768072358625240, - -0.903414600350176290, - 0.428594836897344400, -0.903496798989868450, 0.428421585677856760, - -0.903578964410565950, - 0.428248318706531910, -0.903661096609247980, 0.428075035989740780, - -0.903743195582894620, - 0.427901737533854240, -0.903825261328487390, 0.427728423345243860, - -0.903907293843009050, - 0.427555093430282200, -0.903989293123443340, 0.427381747795341770, - -0.904071259166775440, - 0.427208386446796370, -0.904153191969991670, 0.427035009391019790, - -0.904235091530079750, - 0.426861616634386490, -0.904316957844028320, 0.426688208183271970, - -0.904398790908827350, - 0.426514784044051520, -0.904480590721468250, 0.426341344223101880, - -0.904562357278943190, - 0.426167888726799620, -0.904644090578246240, 0.425994417561522450, - -0.904725790616371930, - 0.425820930733648300, -0.904807457390316540, 0.425647428249555590, - -0.904889090897077470, - 0.425473910115623910, -0.904970691133653250, 0.425300376338232590, - -0.905052258097043590, - 0.425126826923762410, -0.905133791784249580, 0.424953261878594060, - -0.905215292192273480, - 0.424779681209108810, -0.905296759318118820, 0.424606084921689220, - -0.905378193158789980, - 0.424432473022717420, -0.905459593711293250, 0.424258845518577010, - -0.905540960972635480, - 0.424085202415651670, -0.905622294939825160, 0.423911543720325580, - -0.905703595609872010, - 0.423737869438983950, -0.905784862979786440, 0.423564179578011960, - -0.905866097046580940, - 0.423390474143796100, -0.905947297807268460, 0.423216753142722780, - -0.906028465258863490, - 0.423043016581179100, -0.906109599398381980, 0.422869264465553170, - -0.906190700222840540, - 0.422695496802232950, -0.906271767729257660, 0.422521713597607870, - -0.906352801914652280, - 0.422347914858067000, -0.906433802776045460, 0.422174100590000820, - -0.906514770310458800, - 0.422000270799799790, -0.906595704514915330, 0.421826425493854910, - -0.906676605386439460, - 0.421652564678558380, -0.906757472922056550, 0.421478688360302220, - -0.906838307118793540, - 0.421304796545479700, -0.906919107973678030, 0.421130889240484140, - -0.906999875483739610, - 0.420956966451709440, -0.907080609646008450, 0.420783028185550630, - -0.907161310457516250, - 0.420609074448402510, -0.907241977915295930, 0.420435105246661220, - -0.907322612016381310, - 0.420261120586723050, -0.907403212757808000, 0.420087120474984590, - -0.907483780136612570, - 0.419913104917843730, -0.907564314149832520, 0.419739073921698180, - -0.907644814794507090, - 0.419565027492946940, -0.907725282067676330, 0.419390965637989050, - -0.907805715966381820, - 0.419216888363223960, -0.907886116487666150, 0.419042795675052480, - -0.907966483628573240, - 0.418868687579875110, -0.908046817386148340, 0.418694564084093610, - -0.908127117757437600, - 0.418520425194109700, -0.908207384739488700, 0.418346270916326310, - -0.908287618329350450, - 0.418172101257146430, -0.908367818524072780, 0.417997916222973550, - -0.908447985320707250, - 0.417823715820212380, -0.908528118716306120, 0.417649500055267410, - -0.908608218707923190, - 0.417475268934544340, -0.908688285292613360, 0.417301022464449060, - -0.908768318467432780, - 0.417126760651387870, -0.908848318229439120, 0.416952483501768280, - -0.908928284575690640, - 0.416778191021997590, -0.909008217503247450, 0.416603883218484410, - -0.909088117009170580, - 0.416429560097637320, -0.909167983090522270, 0.416255221665865480, - -0.909247815744366310, - 0.416080867929579320, -0.909327614967767260, 0.415906498895188770, - -0.909407380757791260, - 0.415732114569105420, -0.909487113111505430, 0.415557714957740580, - -0.909566812025978220, - 0.415383300067506290, -0.909646477498279540, 0.415208869904815650, - -0.909726109525480160, - 0.415034424476081630, -0.909805708104652220, 0.414859963787718390, - -0.909885273232869160, - 0.414685487846140010, -0.909964804907205660, 0.414510996657761810, - -0.910044303124737390, - 0.414336490228999210, -0.910123767882541570, 0.414161968566268080, - -0.910203199177696540, - 0.413987431675985510, -0.910282597007281760, 0.413812879564568300, - -0.910361961368377990, - 0.413638312238434560, -0.910441292258067140, 0.413463729704002580, - -0.910520589673432630, - 0.413289131967690960, -0.910599853611558930, 0.413114519035919560, - -0.910679084069531570, - 0.412939890915108020, -0.910758281044437570, 0.412765247611677320, - -0.910837444533365010, - 0.412590589132048380, -0.910916574533403240, 0.412415915482642730, - -0.910995671041643140, - 0.412241226669883000, -0.911074734055176250, 0.412066522700191560, - -0.911153763571095900, - 0.411891803579992220, -0.911232759586496190, 0.411717069315708670, - -0.911311722098472670, - 0.411542319913765280, -0.911390651104122320, 0.411367555380587340, - -0.911469546600543020, - 0.411192775722600160, -0.911548408584833990, 0.411017980946230270, - -0.911627237054095650, - 0.410843171057903910, -0.911706032005429880, 0.410668346064048780, - -0.911784793435939430, - 0.410493505971092520, -0.911863521342728520, 0.410318650785463260, - -0.911942215722902570, - 0.410143780513590350, -0.912020876573568230, 0.409968895161902820, - -0.912099503891833470, - 0.409793994736831200, -0.912178097674807060, 0.409619079244805840, - -0.912256657919599650, - 0.409444148692257590, -0.912335184623322750, 0.409269203085618700, - -0.912413677783089020, - 0.409094242431320920, -0.912492137396012650, 0.408919266735797480, - -0.912570563459208730, - 0.408744276005481520, -0.912648955969793900, 0.408569270246806780, - -0.912727314924885900, - 0.408394249466208110, -0.912805640321603500, 0.408219213670120100, - -0.912883932157067200, - 0.408044162864978740, -0.912962190428398100, 0.407869097057219960, - -0.913040415132719160, - 0.407694016253280170, -0.913118606267154130, 0.407518920459597030, - -0.913196763828828200, - 0.407343809682607970, -0.913274887814867760, 0.407168683928751610, - -0.913352978222400250, - 0.406993543204466460, -0.913431035048554720, 0.406818387516192370, - -0.913509058290461140, - 0.406643216870369140, -0.913587047945250810, 0.406468031273437000, - -0.913665004010056350, - 0.406292830731837470, -0.913742926482011390, 0.406117615252011790, - -0.913820815358251100, - 0.405942384840402570, -0.913898670635911680, 0.405767139503452220, - -0.913976492312130520, - 0.405591879247603870, -0.914054280384046460, 0.405416604079301750, - -0.914132034848799460, - 0.405241314004989860, -0.914209755703530690, 0.405066009031113390, - -0.914287442945382440, - 0.404890689164117750, -0.914365096571498450, 0.404715354410448650, - -0.914442716579023870, - 0.404540004776553110, -0.914520302965104450, 0.404364640268877810, - -0.914597855726887790, - 0.404189260893870750, -0.914675374861522390, 0.404013866657980060, - -0.914752860366158100, - 0.403838457567654130, -0.914830312237946090, 0.403663033629342750, - -0.914907730474038620, - 0.403487594849495310, -0.914985115071589310, 0.403312141234562660, - -0.915062466027752760, - 0.403136672790995240, -0.915139783339685260, 0.402961189525244960, - -0.915217067004543750, - 0.402785691443763640, -0.915294317019487050, 0.402610178553003680, - -0.915371533381674760, - 0.402434650859418540, -0.915448716088267830, 0.402259108369461440, - -0.915525865136428530, - 0.402083551089587040, -0.915602980523320230, 0.401907979026249860, - -0.915680062246107650, - 0.401732392185905010, -0.915757110301956720, 0.401556790575008650, - -0.915834124688034710, - 0.401381174200016790, -0.915911105401509880, 0.401205543067386760, - -0.915988052439551840, - 0.401029897183575790, -0.916064965799331610, 0.400854236555041650, - -0.916141845478021350, - 0.400678561188243350, -0.916218691472794110, 0.400502871089639500, - -0.916295503780824800, - 0.400327166265690150, -0.916372282399289140, 0.400151446722855300, - -0.916449027325364040, - 0.399975712467595390, -0.916525738556228100, 0.399799963506372090, - -0.916602416089060680, - 0.399624199845646790, -0.916679059921042700, 0.399448421491882260, - -0.916755670049355990, - 0.399272628451540930, -0.916832246471183890, 0.399096820731086600, - -0.916908789183710990, - 0.398920998336983020, -0.916985298184122890, 0.398745161275694480, - -0.917061773469606820, - 0.398569309553686360, -0.917138215037350710, 0.398393443177423920, - -0.917214622884544250, - 0.398217562153373620, -0.917290997008377910, 0.398041666488001930, - -0.917367337406043810, - 0.397865756187775750, -0.917443644074735220, 0.397689831259163240, - -0.917519917011646260, - 0.397513891708632330, -0.917596156213972950, 0.397337937542652120, - -0.917672361678911750, - 0.397161968767691720, -0.917748533403661250, 0.396985985390220900, - -0.917824671385420570, - 0.396809987416710420, -0.917900775621390390, 0.396633974853630830, - -0.917976846108772730, - 0.396457947707453960, -0.918052882844770380, 0.396281905984651680, - -0.918128885826587910, - 0.396105849691696320, -0.918204855051430900, 0.395929778835061360, - -0.918280790516506130, - 0.395753693421220080, -0.918356692219021720, 0.395577593456646950, - -0.918432560156186790, - 0.395401478947816300, -0.918508394325212250, 0.395225349901203730, - -0.918584194723309540, - 0.395049206323284880, -0.918659961347691900, 0.394873048220535760, - -0.918735694195573550, - 0.394696875599433670, -0.918811393264169940, 0.394520688466455550, - -0.918887058550697970, - 0.394344486828079650, -0.918962690052375630, 0.394168270690784250, - -0.919038287766421940, - 0.393992040061048100, -0.919113851690057770, 0.393815794945351130, - -0.919189381820504470, - 0.393639535350172880, -0.919264878154985250, 0.393463261281994380, - -0.919340340690724230, - 0.393286972747296570, -0.919415769424946960, 0.393110669752560760, - -0.919491164354880100, - 0.392934352304269600, -0.919566525477751530, 0.392758020408905280, - -0.919641852790790470, - 0.392581674072951530, -0.919717146291227360, 0.392405313302891860, - -0.919792405976293750, - 0.392228938105210370, -0.919867631843222950, 0.392052548486392200, - -0.919942823889248640, - 0.391876144452922350, -0.920017982111606570, 0.391699726011287050, - -0.920093106507533070, - 0.391523293167972350, -0.920168197074266450, 0.391346845929465610, - -0.920243253809045370, - 0.391170384302253980, -0.920318276709110480, 0.390993908292825380, - -0.920393265771703550, - 0.390817417907668610, -0.920468220994067110, 0.390640913153272370, - -0.920543142373445480, - 0.390464394036126650, -0.920618029907083860, 0.390287860562721360, - -0.920692883592229010, - 0.390111312739546910, -0.920767703426128790, 0.389934750573094790, - -0.920842489406032080, - 0.389758174069856410, -0.920917241529189520, 0.389581583236324360, - -0.920991959792852310, - 0.389404978078991100, -0.921066644194273530, 0.389228358604349730, - -0.921141294730707270, - 0.389051724818894500, -0.921215911399408730, 0.388875076729119250, - -0.921290494197634540, - 0.388698414341519250, -0.921365043122642340, 0.388521737662589740, - -0.921439558171691320, - 0.388345046698826300, -0.921514039342041900, 0.388168341456725850, - -0.921588486630955380, - 0.387991621942784910, -0.921662900035694730, 0.387814888163501290, - -0.921737279553523800, - 0.387638140125372680, -0.921811625181708120, 0.387461377834897920, - -0.921885936917513970, - 0.387284601298575890, -0.921960214758209110, 0.387107810522905990, - -0.922034458701062820, - 0.386931005514388690, -0.922108668743345070, 0.386754186279524130, - -0.922182844882327600, - 0.386577352824813980, -0.922256987115283030, 0.386400505156759610, - -0.922331095439485330, - 0.386223643281862980, -0.922405169852209880, 0.386046767206627280, - -0.922479210350733100, - 0.385869876937555310, -0.922553216932332830, 0.385692972481151200, - -0.922627189594287800, - 0.385516053843919020, -0.922701128333878520, 0.385339121032363340, - -0.922775033148386380, - 0.385162174052989970, -0.922848904035094120, 0.384985212912304200, - -0.922922740991285680, - 0.384808237616812930, -0.922996544014246250, 0.384631248173022740, - -0.923070313101262420, - 0.384454244587440870, -0.923144048249621820, 0.384277226866575620, - -0.923217749456613500, - 0.384100195016935040, -0.923291416719527640, 0.383923149045028500, - -0.923365050035655610, - 0.383746088957365010, -0.923438649402290370, 0.383569014760454960, - -0.923512214816725520, - 0.383391926460808770, -0.923585746276256560, 0.383214824064937180, - -0.923659243778179980, - 0.383037707579352130, -0.923732707319793180, 0.382860577010565360, - -0.923806136898395410, - 0.382683432365089840, -0.923879532511286740, 0.382506273649438400, - -0.923952894155768640, - 0.382329100870124510, -0.924026221829143850, 0.382151914033662720, - -0.924099515528716280, - 0.381974713146567220, -0.924172775251791200, 0.381797498215353690, - -0.924246000995674890, - 0.381620269246537520, -0.924319192757675160, 0.381443026246634730, - -0.924392350535101050, - 0.381265769222162490, -0.924465474325262600, 0.381088498179637520, - -0.924538564125471420, - 0.380911213125578130, -0.924611619933039970, 0.380733914066502090, - -0.924684641745282530, - 0.380556601008928570, -0.924757629559513910, 0.380379273959376710, - -0.924830583373050800, - 0.380201932924366050, -0.924903503183210910, 0.380024577910417380, - -0.924976388987313050, - 0.379847208924051110, -0.925049240782677580, 0.379669825971789000, - -0.925122058566625770, - 0.379492429060152740, -0.925194842336480420, 0.379315018195664430, - -0.925267592089565550, - 0.379137593384847430, -0.925340307823206200, 0.378960154634224720, - -0.925412989534729060, - 0.378782701950320600, -0.925485637221461490, 0.378605235339659290, - -0.925558250880732620, - 0.378427754808765620, -0.925630830509872720, 0.378250260364165310, - -0.925703376106213120, - 0.378072752012383990, -0.925775887667086740, 0.377895229759948550, - -0.925848365189827270, - 0.377717693613385810, -0.925920808671769960, 0.377540143579222940, - -0.925993218110251480, - 0.377362579663988450, -0.926065593502609310, 0.377185001874210450, - -0.926137934846182560, - 0.377007410216418310, -0.926210242138311270, 0.376829804697141220, - -0.926282515376337210, - 0.376652185322909620, -0.926354754557602860, 0.376474552100253880, - -0.926426959679452100, - 0.376296905035704790, -0.926499130739230510, 0.376119244135794390, - -0.926571267734284220, - 0.375941569407054420, -0.926643370661961230, 0.375763880856017750, - -0.926715439519610330, - 0.375586178489217330, -0.926787474304581750, 0.375408462313186590, - -0.926859475014227160, - 0.375230732334460030, -0.926931441645899130, 0.375052988559571860, - -0.927003374196951670, - 0.374875230995057600, -0.927075272664740100, 0.374697459647452770, - -0.927147137046620880, - 0.374519674523293210, -0.927218967339951790, 0.374341875629116030, - -0.927290763542091720, - 0.374164062971457990, -0.927362525650401110, 0.373986236556857090, - -0.927434253662241300, - 0.373808396391851370, -0.927505947574975180, 0.373630542482979280, - -0.927577607385966730, - 0.373452674836780410, -0.927649233092581180, 0.373274793459794030, - -0.927720824692185200, - 0.373096898358560690, -0.927792382182146320, 0.372918989539620770, - -0.927863905559833780, - 0.372741067009515810, -0.927935394822617890, 0.372563130774787370, - -0.928006849967869970, - 0.372385180841977360, -0.928078270992963140, 0.372207217217628950, - -0.928149657895271150, - 0.372029239908284960, -0.928221010672169440, 0.371851248920489540, - -0.928292329321034560, - 0.371673244260786630, -0.928363613839244370, 0.371495225935720760, - -0.928434864224177980, - 0.371317193951837600, -0.928506080473215480, 0.371139148315682510, - -0.928577262583738850, - 0.370961089033802040, -0.928648410553130520, 0.370783016112742720, - -0.928719524378774700, - 0.370604929559051670, -0.928790604058057020, 0.370426829379276900, - -0.928861649588363700, - 0.370248715579966360, -0.928932660967082820, 0.370070588167669130, - -0.929003638191603360, - 0.369892447148934270, -0.929074581259315750, 0.369714292530311240, - -0.929145490167611720, - 0.369536124318350760, -0.929216364913883930, 0.369357942519603190, - -0.929287205495526790, - 0.369179747140620070, -0.929358011909935500, 0.369001538187952780, - -0.929428784154506800, - 0.368823315668153960, -0.929499522226638560, 0.368645079587776150, - -0.929570226123729860, - 0.368466829953372320, -0.929640895843181330, 0.368288566771496680, - -0.929711531382394370, - 0.368110290048703050, -0.929782132738772190, 0.367931999791546500, - -0.929852699909718750, - 0.367753696006582090, -0.929923232892639560, 0.367575378700365330, - -0.929993731684941480, - 0.367397047879452820, -0.930064196284032360, 0.367218703550400930, - -0.930134626687321390, - 0.367040345719767240, -0.930205022892219070, 0.366861974394109220, - -0.930275384896137040, - 0.366683589579984930, -0.930345712696488470, 0.366505191283953480, - -0.930416006290687550, - 0.366326779512573590, -0.930486265676149780, 0.366148354272405390, - -0.930556490850291800, - 0.365969915570008910, -0.930626681810531650, 0.365791463411944570, - -0.930696838554288860, - 0.365612997804773960, -0.930766961078983710, 0.365434518755058390, - -0.930837049382038150, - 0.365256026269360380, -0.930907103460875020, 0.365077520354242180, - -0.930977123312918930, - 0.364899001016267380, -0.931047108935595170, 0.364720468261999390, - -0.931117060326330790, - 0.364541922098002180, -0.931186977482553750, 0.364363362530840730, - -0.931256860401693420, - 0.364184789567079840, -0.931326709081180430, 0.364006203213285530, - -0.931396523518446600, - 0.363827603476023610, -0.931466303710925090, 0.363648990361860550, - -0.931536049656050300, - 0.363470363877363870, -0.931605761351257830, 0.363291724029100700, - -0.931675438793984620, - 0.363113070823639530, -0.931745081981668720, 0.362934404267548750, - -0.931814690911749620, - 0.362755724367397230, -0.931884265581668150, 0.362577031129754870, - -0.931953805988865900, - 0.362398324561191310, -0.932023312130786490, 0.362219604668277570, - -0.932092784004874050, - 0.362040871457584350, -0.932162221608574320, 0.361862124935682980, - -0.932231624939334540, - 0.361683365109145950, -0.932300993994602640, 0.361504591984545260, - -0.932370328771828460, - 0.361325805568454340, -0.932439629268462360, 0.361147005867446190, - -0.932508895481956700, - 0.360968192888095290, -0.932578127409764420, 0.360789366636975690, - -0.932647325049340340, - 0.360610527120662270, -0.932716488398140250, 0.360431674345730810, - -0.932785617453620990, - 0.360252808318756830, -0.932854712213241230, 0.360073929046317080, - -0.932923772674460140, - 0.359895036534988280, -0.932992798834738850, 0.359716130791347570, - -0.933061790691539380, - 0.359537211821973180, -0.933130748242325110, 0.359358279633443080, - -0.933199671484560730, - 0.359179334232336560, -0.933268560415712050, 0.359000375625232630, - -0.933337415033246080, - 0.358821403818710920, -0.933406235334631520, 0.358642418819352100, - -0.933475021317337950, - 0.358463420633736540, -0.933543772978836170, 0.358284409268445900, - -0.933612490316598540, - 0.358105384730061760, -0.933681173328098300, 0.357926347025166070, - -0.933749822010810580, - 0.357747296160342010, -0.933818436362210960, 0.357568232142172260, - -0.933887016379776890, - 0.357389154977241000, -0.933955562060986730, 0.357210064672131900, - -0.934024073403320500, - 0.357030961233430030, -0.934092550404258870, 0.356851844667720410, - -0.934160993061284420, - 0.356672714981588260, -0.934229401371880820, 0.356493572181620200, - -0.934297775333532530, - 0.356314416274402360, -0.934366114943725900, 0.356135247266522180, - -0.934434420199948050, - 0.355956065164567010, -0.934502691099687870, 0.355776869975124640, - -0.934570927640435030, - 0.355597661704783960, -0.934639129819680780, 0.355418440360133590, - -0.934707297634917440, - 0.355239205947763370, -0.934775431083638700, 0.355059958474263030, - -0.934843530163339430, - 0.354880697946222790, -0.934911594871516090, 0.354701424370233940, - -0.934979625205665800, - 0.354522137752887430, -0.935047621163287430, 0.354342838100775600, - -0.935115582741880890, - 0.354163525420490510, -0.935183509938947500, 0.353984199718624830, - -0.935251402751989810, - 0.353804861001772160, -0.935319261178511500, 0.353625509276525970, - -0.935387085216017770, - 0.353446144549480870, -0.935454874862014620, 0.353266766827231180, - -0.935522630114009930, - 0.353087376116372530, -0.935590350969512370, 0.352907972423500360, - -0.935658037426032040, - 0.352728555755210730, -0.935725689481080370, 0.352549126118100580, - -0.935793307132169900, - 0.352369683518766630, -0.935860890376814640, 0.352190227963806890, - -0.935928439212529660, - 0.352010759459819240, -0.935995953636831300, 0.351831278013402030, - -0.936063433647237540, - 0.351651783631154680, -0.936130879241266920, 0.351472276319676260, - -0.936198290416440090, - 0.351292756085567150, -0.936265667170278260, 0.351113222935427630, - -0.936333009500304180, - 0.350933676875858360, -0.936400317404042060, 0.350754117913461170, - -0.936467590879016880, - 0.350574546054837570, -0.936534829922755500, 0.350394961306590200, - -0.936602034532785570, - 0.350215363675321740, -0.936669204706636060, 0.350035753167635300, - -0.936736340441837620, - 0.349856129790135030, -0.936803441735921560, 0.349676493549424760, - -0.936870508586420960, - 0.349496844452109600, -0.936937540990869900, 0.349317182504794320, - -0.937004538946803690, - 0.349137507714085030, -0.937071502451759190, 0.348957820086587600, - -0.937138431503274140, - 0.348778119628908420, -0.937205326098887960, 0.348598406347655040, - -0.937272186236140950, - 0.348418680249434510, -0.937339011912574960, 0.348238941340855310, - -0.937405803125732850, - 0.348059189628525780, -0.937472559873159140, 0.347879425119054510, - -0.937539282152399230, - 0.347699647819051490, -0.937605969960999990, 0.347519857735126110, - -0.937672623296509470, - 0.347340054873889190, -0.937739242156476970, 0.347160239241951330, - -0.937805826538453010, - 0.346980410845923680, -0.937872376439989890, 0.346800569692418400, - -0.937938891858640210, - 0.346620715788047320, -0.938005372791958840, 0.346440849139423580, - -0.938071819237501160, - 0.346260969753160170, -0.938138231192824360, 0.346081077635870480, - -0.938204608655486490, - 0.345901172794169100, -0.938270951623047080, 0.345721255234670120, - -0.938337260093066950, - 0.345541324963989150, -0.938403534063108060, 0.345361381988741170, - -0.938469773530733800, - 0.345181426315542610, -0.938535978493508560, 0.345001457951009780, - -0.938602148948998290, - 0.344821476901759290, -0.938668284894770170, 0.344641483174409070, - -0.938734386328392460, - 0.344461476775576480, -0.938800453247434770, 0.344281457711880230, - -0.938866485649468060, - 0.344101425989938980, -0.938932483532064490, 0.343921381616371700, - -0.938998446892797540, - 0.343741324597798600, -0.939064375729241950, 0.343561254940839330, - -0.939130270038973650, - 0.343381172652115100, -0.939196129819569900, 0.343201077738246710, - -0.939261955068609100, - 0.343020970205855540, -0.939327745783671400, 0.342840850061564060, - -0.939393501962337510, - 0.342660717311994380, -0.939459223602189920, 0.342480571963769850, - -0.939524910700812120, - 0.342300414023513690, -0.939590563255789160, 0.342120243497849590, - -0.939656181264707070, - 0.341940060393402300, -0.939721764725153340, 0.341759864716796310, - -0.939787313634716570, - 0.341579656474657210, -0.939852827990986680, 0.341399435673610360, - -0.939918307791555050, - 0.341219202320282410, -0.939983753034013940, 0.341038956421299830, - -0.940049163715957370, - 0.340858697983289440, -0.940114539834980280, 0.340678427012879310, - -0.940179881388678810, - 0.340498143516697100, -0.940245188374650880, 0.340317847501371730, - -0.940310460790495070, - 0.340137538973531880, -0.940375698633811540, 0.339957217939806880, - -0.940440901902201750, - 0.339776884406826960, -0.940506070593268300, 0.339596538381222060, - -0.940571204704615190, - 0.339416179869623410, -0.940636304233847590, 0.339235808878662120, - -0.940701369178571940, - 0.339055425414969640, -0.940766399536396070, 0.338875029485178560, - -0.940831395304928870, - 0.338694621095921190, -0.940896356481780830, 0.338514200253831000, - -0.940961283064563280, - 0.338333766965541290, -0.941026175050889260, 0.338153321237685990, - -0.941091032438372780, - 0.337972863076899830, -0.941155855224629190, 0.337792392489817460, - -0.941220643407275180, - 0.337611909483074680, -0.941285396983928660, 0.337431414063306790, - -0.941350115952208970, - 0.337250906237150650, -0.941414800309736230, 0.337070386011242730, - -0.941479450054132580, - 0.336889853392220050, -0.941544065183020810, 0.336709308386720700, - -0.941608645694025140, - 0.336528751001382350, -0.941673191584771360, 0.336348181242844100, - -0.941737702852886160, - 0.336167599117744690, -0.941802179495997650, 0.335987004632723350, - -0.941866621511735280, - 0.335806397794420560, -0.941931028897729510, 0.335625778609476230, - -0.941995401651612550, - 0.335445147084531660, -0.942059739771017310, 0.335264503226227970, - -0.942124043253578460, - 0.335083847041206580, -0.942188312096931770, 0.334903178536110290, - -0.942252546298714020, - 0.334722497717581220, -0.942316745856563780, 0.334541804592262960, - -0.942380910768120470, - 0.334361099166798900, -0.942445041031024890, 0.334180381447832740, - -0.942509136642919240, - 0.333999651442009490, -0.942573197601446870, 0.333818909155973620, - -0.942637223904252530, - 0.333638154596370920, -0.942701215548981900, 0.333457387769846790, - -0.942765172533282510, - 0.333276608683047980, -0.942829094854802710, 0.333095817342620890, - -0.942892982511192130, - 0.332915013755212650, -0.942956835500102120, 0.332734197927471160, - -0.943020653819184650, - 0.332553369866044220, -0.943084437466093490, 0.332372529577580680, - -0.943148186438483420, - 0.332191677068729320, -0.943211900734010620, 0.332010812346139380, - -0.943275580350332540, - 0.331829935416461220, -0.943339225285107720, 0.331649046286344620, - -0.943402835535996240, - 0.331468144962440920, -0.943466411100659320, 0.331287231451400990, - -0.943529951976759370, - 0.331106305759876430, -0.943593458161960390, 0.330925367894519650, - -0.943656929653927110, - 0.330744417861982890, -0.943720366450326200, 0.330563455668919590, - -0.943783768548825060, - 0.330382481321982950, -0.943847135947092690, 0.330201494827826620, - -0.943910468642799150, - 0.330020496193105530, -0.943973766633615980, 0.329839485424473940, - -0.944037029917215830, - 0.329658462528587550, -0.944100258491272660, 0.329477427512101680, - -0.944163452353461770, - 0.329296380381672800, -0.944226611501459810, 0.329115321143957360, - -0.944289735932944410, - 0.328934249805612200, -0.944352825645594750, 0.328753166373295100, - -0.944415880637091250, - 0.328572070853663690, -0.944478900905115550, 0.328390963253376630, - -0.944541886447350380, - 0.328209843579092660, -0.944604837261480260, 0.328028711837470730, - -0.944667753345190490, - 0.327847568035170960, -0.944730634696167800, 0.327666412178853060, - -0.944793481312100280, - 0.327485244275178060, -0.944856293190677210, 0.327304064330806830, - -0.944919070329589220, - 0.327122872352400510, -0.944981812726528150, 0.326941668346621530, - -0.945044520379187070, - 0.326760452320131790, -0.945107193285260610, 0.326579224279594460, - -0.945169831442444150, - 0.326397984231672660, -0.945232434848434890, 0.326216732183029770, - -0.945295003500931100, - 0.326035468140330350, -0.945357537397632290, 0.325854192110238580, - -0.945420036536239070, - 0.325672904099419900, -0.945482500914453740, 0.325491604114539260, - -0.945544930529979680, - 0.325310292162262980, -0.945607325380521280, 0.325128968249257190, - -0.945669685463784710, - 0.324947632382188430, -0.945732010777477150, 0.324766284567724330, - -0.945794301319306860, - 0.324584924812532150, -0.945856557086983910, 0.324403553123280290, - -0.945918778078219110, - 0.324222169506637130, -0.945980964290724760, 0.324040773969271450, - -0.946043115722214560, - 0.323859366517852960, -0.946105232370403340, 0.323677947159051180, - -0.946167314233007370, - 0.323496515899536760, -0.946229361307743820, 0.323315072745980150, - -0.946291373592331510, - 0.323133617705052330, -0.946353351084490590, 0.322952150783425370, - -0.946415293781942110, - 0.322770671987770710, -0.946477201682408680, 0.322589181324761390, - -0.946539074783614100, - 0.322407678801070020, -0.946600913083283530, 0.322226164423369650, - -0.946662716579143360, - 0.322044638198334620, -0.946724485268921170, 0.321863100132638580, - -0.946786219150346000, - 0.321681550232956640, -0.946847918221148000, 0.321499988505963450, - -0.946909582479058760, - 0.321318414958334910, -0.946971211921810880, 0.321136829596746780, - -0.947032806547138620, - 0.320955232427875210, -0.947094366352777220, 0.320773623458397440, - -0.947155891336463270, - 0.320592002694990330, -0.947217381495934820, 0.320410370144331880, - -0.947278836828930880, - 0.320228725813100020, -0.947340257333191940, 0.320047069707973140, - -0.947401643006459900, - 0.319865401835630610, -0.947462993846477700, 0.319683722202751370, - -0.947524309850989570, - 0.319502030816015750, -0.947585591017741090, 0.319320327682103720, - -0.947646837344479190, - 0.319138612807695900, -0.947708048828952100, 0.318956886199473770, - -0.947769225468909180, - 0.318775147864118480, -0.947830367262101010, 0.318593397808312470, - -0.947891474206279730, - 0.318411636038737960, -0.947952546299198560, 0.318229862562077580, - -0.948013583538612200, - 0.318048077385015060, -0.948074585922276230, 0.317866280514233660, - -0.948135553447947980, - 0.317684471956418020, -0.948196486113385580, 0.317502651718252260, - -0.948257383916349060, - 0.317320819806421790, -0.948318246854599090, 0.317138976227611890, - -0.948379074925898120, - 0.316957120988508150, -0.948439868128009620, 0.316775254095797380, - -0.948500626458698260, - 0.316593375556165850, -0.948561349915730270, 0.316411485376301090, - -0.948622038496872990, - 0.316229583562890490, -0.948682692199895090, 0.316047670122621860, - -0.948743311022566480, - 0.315865745062184070, -0.948803894962658380, 0.315683808388265600, - -0.948864444017943340, - 0.315501860107556040, -0.948924958186195160, 0.315319900226745050, - -0.948985437465188710, - 0.315137928752522440, -0.949045881852700560, 0.314955945691579250, - -0.949106291346508260, - 0.314773951050606070, -0.949166665944390700, 0.314591944836294710, - -0.949227005644128210, - 0.314409927055336820, -0.949287310443502010, 0.314227897714424500, - -0.949347580340295210, - 0.314045856820250820, -0.949407815332291460, 0.313863804379508500, - -0.949468015417276550, - 0.313681740398891570, -0.949528180593036670, 0.313499664885093450, - -0.949588310857359950, - 0.313317577844809070, -0.949648406208035480, 0.313135479284732950, - -0.949708466642853800, - 0.312953369211560200, -0.949768492159606680, 0.312771247631986880, - -0.949828482756087000, - 0.312589114552708660, -0.949888438430089300, 0.312406969980422500, - -0.949948359179409010, - 0.312224813921825050, -0.950008245001843000, 0.312042646383613510, - -0.950068095895189590, - 0.311860467372486130, -0.950127911857248100, 0.311678276895140550, - -0.950187692885819280, - 0.311496074958275970, -0.950247438978705230, 0.311313861568591090, - -0.950307150133709140, - 0.311131636732785270, -0.950366826348635780, 0.310949400457558760, - -0.950426467621290900, - 0.310767152749611470, -0.950486073949481700, 0.310584893615644560, - -0.950545645331016600, - 0.310402623062358880, -0.950605181763705230, 0.310220341096455910, - -0.950664683245358910, - 0.310038047724638000, -0.950724149773789610, 0.309855742953607130, - -0.950783581346811070, - 0.309673426790066490, -0.950842977962238160, 0.309491099240719050, - -0.950902339617887060, - 0.309308760312268780, -0.950961666311575080, 0.309126410011419550, - -0.951020958041121080, - 0.308944048344875710, -0.951080214804345010, 0.308761675319342570, - -0.951139436599068190, - 0.308579290941525030, -0.951198623423113230, 0.308396895218129240, - -0.951257775274304000, - 0.308214488155861220, -0.951316892150465550, 0.308032069761427330, - -0.951375974049424420, - 0.307849640041534980, -0.951435020969008340, 0.307667199002891190, - -0.951494032907046370, - 0.307484746652204160, -0.951553009861368590, 0.307302282996181950, - -0.951611951829806730, - 0.307119808041533100, -0.951670858810193860, 0.306937321794967020, - -0.951729730800363720, - 0.306754824263192780, -0.951788567798152130, 0.306572315452920800, - -0.951847369801395620, - 0.306389795370861080, -0.951906136807932230, 0.306207264023724280, - -0.951964868815601380, - 0.306024721418221900, -0.952023565822243570, 0.305842167561065080, - -0.952082227825700620, - 0.305659602458966230, -0.952140854823815830, 0.305477026118637360, - -0.952199446814433580, - 0.305294438546791720, -0.952258003795399600, 0.305111839750142220, - -0.952316525764560830, - 0.304929229735402430, -0.952375012719765880, 0.304746608509286640, - -0.952433464658864030, - 0.304563976078509050, -0.952491881579706320, 0.304381332449784940, - -0.952550263480144930, - 0.304198677629829270, -0.952608610358033240, 0.304016011625357570, - -0.952666922211226170, - 0.303833334443086470, -0.952725199037579570, 0.303650646089731910, - -0.952783440834950920, - 0.303467946572011370, -0.952841647601198720, 0.303285235896641910, - -0.952899819334182880, - 0.303102514070341060, -0.952957956031764700, 0.302919781099827420, - -0.953016057691806530, - 0.302737036991819140, -0.953074124312172200, 0.302554281753035670, - -0.953132155890726750, - 0.302371515390196130, -0.953190152425336560, 0.302188737910020040, - -0.953248113913869320, - 0.302005949319228200, -0.953306040354193750, 0.301823149624540650, - -0.953363931744180330, - 0.301640338832678880, -0.953421788081700310, 0.301457516950363940, - -0.953479609364626610, - 0.301274683984318000, -0.953537395590833280, 0.301091839941263210, - -0.953595146758195680, - 0.300908984827921890, -0.953652862864590500, 0.300726118651017620, - -0.953710543907895560, - 0.300543241417273400, -0.953768189885990330, 0.300360353133413580, - -0.953825800796755050, - 0.300177453806162120, -0.953883376638071770, 0.299994543442243580, - -0.953940917407823500, - 0.299811622048383460, -0.953998423103894490, 0.299628689631306790, - -0.954055893724170660, - 0.299445746197739950, -0.954113329266538800, 0.299262791754409010, - -0.954170729728887280, - 0.299079826308040480, -0.954228095109105670, 0.298896849865361910, - -0.954285425405084650, - 0.298713862433100390, -0.954342720614716480, 0.298530864017984230, - -0.954399980735894490, - 0.298347854626741570, -0.954457205766513490, 0.298164834266100910, - -0.954514395704469500, - 0.297981802942791920, -0.954571550547659630, 0.297798760663543550, - -0.954628670293982680, - 0.297615707435086310, -0.954685754941338340, 0.297432643264150030, - -0.954742804487627940, - 0.297249568157465890, -0.954799818930753720, 0.297066482121764840, - -0.954856798268619580, - 0.296883385163778270, -0.954913742499130520, 0.296700277290238460, - -0.954970651620192790, - 0.296517158507877410, -0.955027525629714160, 0.296334028823428240, - -0.955084364525603410, - 0.296150888243623960, -0.955141168305770670, 0.295967736775197890, - -0.955197936968127710, - 0.295784574424884370, -0.955254670510586990, 0.295601401199417360, - -0.955311368931062720, - 0.295418217105532070, -0.955368032227470240, 0.295235022149963390, - -0.955424660397726330, - 0.295051816339446720, -0.955481253439748770, 0.294868599680718380, - -0.955537811351456770, - 0.294685372180514330, -0.955594334130771110, 0.294502133845571720, - -0.955650821775613220, - 0.294318884682627570, -0.955707274283906560, 0.294135624698419080, - -0.955763691653575440, - 0.293952353899684770, -0.955820073882545420, 0.293769072293162400, - -0.955876420968743590, - 0.293585779885591310, -0.955932732910098170, 0.293402476683710060, - -0.955989009704538930, - 0.293219162694258680, -0.956045251349996410, 0.293035837923976920, - -0.956101457844403040, - 0.292852502379604810, -0.956157629185692140, 0.292669156067883570, - -0.956213765371798470, - 0.292485798995553830, -0.956269866400658140, 0.292302431169357610, - -0.956325932270208230, - 0.292119052596036540, -0.956381962978387620, 0.291935663282332780, - -0.956437958523136180, - 0.291752263234989370, -0.956493918902394990, 0.291568852460749040, - -0.956549844114106820, - 0.291385430966355720, -0.956605734156215080, 0.291201998758553020, - -0.956661589026664980, - 0.291018555844085090, -0.956717408723403050, 0.290835102229696940, - -0.956773193244376930, - 0.290651637922133220, -0.956828942587535370, 0.290468162928139870, - -0.956884656750828900, - 0.290284677254462330, -0.956940335732208940, 0.290101180907847140, - -0.956995979529628230, - 0.289917673895040860, -0.957051588141040970, 0.289734156222790250, - -0.957107161564402790, - 0.289550627897843140, -0.957162699797670100, 0.289367088926946960, - -0.957218202838801210, - 0.289183539316850310, -0.957273670685755200, 0.288999979074301530, - -0.957329103336492790, - 0.288816408206049480, -0.957384500788975860, 0.288632826718843940, - -0.957439863041167570, - 0.288449234619434170, -0.957495190091032570, 0.288265631914570830, - -0.957550481936536470, - 0.288082018611004300, -0.957605738575646240, 0.287898394715485170, - -0.957660960006330610, - 0.287714760234765280, -0.957716146226558870, 0.287531115175595930, - -0.957771297234302320, - 0.287347459544729570, -0.957826413027532910, 0.287163793348918560, - -0.957881493604224250, - 0.286980116594915570, -0.957936538962351420, 0.286796429289474190, - -0.957991549099890370, - 0.286612731439347790, -0.958046524014818600, 0.286429023051290750, - -0.958101463705114620, - 0.286245304132057120, -0.958156368168758820, 0.286061574688402100, - -0.958211237403732260, - 0.285877834727080730, -0.958266071408017670, 0.285694084254848320, - -0.958320870179598880, - 0.285510323278461380, -0.958375633716461170, 0.285326551804675810, - -0.958430362016591040, - 0.285142769840248720, -0.958485055077976100, 0.284958977391937150, - -0.958539712898605730, - 0.284775174466498300, -0.958594335476470220, 0.284591361070690550, - -0.958648922809561040, - 0.284407537211271820, -0.958703474895871600, 0.284223702895001100, - -0.958757991733395710, - 0.284039858128637360, -0.958812473320129200, 0.283856002918939750, - -0.958866919654069010, - 0.283672137272668550, -0.958921330733213060, 0.283488261196583550, - -0.958975706555561080, - 0.283304374697445790, -0.959030047119113550, 0.283120477782015990, - -0.959084352421872730, - 0.282936570457055390, -0.959138622461841890, 0.282752652729326040, - -0.959192857237025740, - 0.282568724605589740, -0.959247056745430090, 0.282384786092609420, - -0.959301220985062210, - 0.282200837197147500, -0.959355349953930790, 0.282016877925967690, - -0.959409443650045550, - 0.281832908285833460, -0.959463502071417510, 0.281648928283508680, - -0.959517525216059260, - 0.281464937925758050, -0.959571513081984520, 0.281280937219346110, - -0.959625465667208300, - 0.281096926171038320, -0.959679382969746750, 0.280912904787600120, - -0.959733264987617680, - 0.280728873075797190, -0.959787111718839900, 0.280544831042396360, - -0.959840923161433660, - 0.280360778694163810, -0.959894699313420530, 0.280176716037867040, - -0.959948440172823210, - 0.279992643080273380, -0.960002145737665850, 0.279808559828150390, - -0.960055816005973890, - 0.279624466288266700, -0.960109450975773940, 0.279440362467390510, - -0.960163050645094000, - 0.279256248372291240, -0.960216615011963430, 0.279072124009737970, - -0.960270144074412800, - 0.278887989386500280, -0.960323637830473920, 0.278703844509348600, - -0.960377096278180130, - 0.278519689385053060, -0.960430519415565790, 0.278335524020384970, - -0.960483907240666790, - 0.278151348422115090, -0.960537259751520050, 0.277967162597015430, - -0.960590576946164120, - 0.277782966551857800, -0.960643858822638470, 0.277598760293414290, - -0.960697105378984450, - 0.277414543828458200, -0.960750316613243950, 0.277230317163762120, - -0.960803492523460760, - 0.277046080306099950, -0.960856633107679660, 0.276861833262245390, - -0.960909738363946770, - 0.276677576038972420, -0.960962808290309780, 0.276493308643056100, - -0.961015842884817230, - 0.276309031081271030, -0.961068842145519350, 0.276124743360392890, - -0.961121806070467380, - 0.275940445487197320, -0.961174734657714080, 0.275756137468460120, - -0.961227627905313460, - 0.275571819310958250, -0.961280485811320640, 0.275387491021468140, - -0.961333308373792270, - 0.275203152606767370, -0.961386095590786250, 0.275018804073633380, - -0.961438847460361570, - 0.274834445428843940, -0.961491563980579000, 0.274650076679177790, - -0.961544245149499990, - 0.274465697831413220, -0.961596890965187860, 0.274281308892329710, - -0.961649501425706820, - 0.274096909868706330, -0.961702076529122540, 0.273912500767323320, - -0.961754616273502010, - 0.273728081594960650, -0.961807120656913540, 0.273543652358398730, - -0.961859589677426570, - 0.273359213064418790, -0.961912023333112100, 0.273174763719801870, - -0.961964421622042320, - 0.272990304331329980, -0.962016784542290560, 0.272805834905784920, - -0.962069112091931580, - 0.272621355449948980, -0.962121404269041580, 0.272436865970605350, - -0.962173661071697770, - 0.272252366474536660, -0.962225882497979020, 0.272067856968526980, - -0.962278068545965090, - 0.271883337459359890, -0.962330219213737400, 0.271698807953819510, - -0.962382334499378380, - 0.271514268458690810, -0.962434414400971990, 0.271329718980758420, - -0.962486458916603450, - 0.271145159526808070, -0.962538468044359160, 0.270960590103625330, - -0.962590441782326780, - 0.270776010717996010, -0.962642380128595710, 0.270591421376707050, - -0.962694283081255930, - 0.270406822086544820, -0.962746150638399410, 0.270222212854296930, - -0.962797982798119010, - 0.270037593686750510, -0.962849779558509030, 0.269852964590693910, - -0.962901540917665000, - 0.269668325572915200, -0.962953266873683880, 0.269483676640202840, - -0.963004957424663850, - 0.269299017799346230, -0.963056612568704340, 0.269114349057134330, - -0.963108232303906190, - 0.268929670420357310, -0.963159816628371360, 0.268744981895805090, - -0.963211365540203480, - 0.268560283490267890, -0.963262879037507070, 0.268375575210537010, - -0.963314357118388090, - 0.268190857063403180, -0.963365799780954050, 0.268006129055658350, - -0.963417207023313350, - 0.267821391194094320, -0.963468578843575950, 0.267636643485503090, - -0.963519915239853140, - 0.267451885936677740, -0.963571216210257210, 0.267267118554410930, - -0.963622481752902220, - 0.267082341345496350, -0.963673711865903230, 0.266897554316727510, - -0.963724906547376410, - 0.266712757474898420, -0.963776065795439840, 0.266527950826803810, - -0.963827189608212340, - 0.266343134379238180, -0.963878277983814200, 0.266158308138997050, - -0.963929330920367140, - 0.265973472112875530, -0.963980348415994110, 0.265788626307669970, - -0.964031330468819280, - 0.265603770730176440, -0.964082277076968140, 0.265418905387191260, - -0.964133188238567640, - 0.265234030285511900, -0.964184063951745720, 0.265049145431935200, - -0.964234904214632200, - 0.264864250833259320, -0.964285709025357370, 0.264679346496282050, - -0.964336478382053720, - 0.264494432427801630, -0.964387212282854290, 0.264309508634617220, - -0.964437910725893910, - 0.264124575123527490, -0.964488573709308410, 0.263939631901332410, - -0.964539201231235150, - 0.263754678974831510, -0.964589793289812650, 0.263569716350824880, - -0.964640349883180930, - 0.263384744036113390, -0.964690871009480920, 0.263199762037497560, - -0.964741356666855340, - 0.263014770361779060, -0.964791806853447900, 0.262829769015759330, - -0.964842221567403510, - 0.262644758006240100, -0.964892600806868890, 0.262459737340024090, - -0.964942944569991410, - 0.262274707023913590, -0.964993252854920320, 0.262089667064712100, - -0.965043525659805890, - 0.261904617469222560, -0.965093762982799590, 0.261719558244249080, - -0.965143964822054450, - 0.261534489396595630, -0.965194131175724720, 0.261349410933066350, - -0.965244262041965780, - 0.261164322860466590, -0.965294357418934660, 0.260979225185601020, - -0.965344417304789370, - 0.260794117915275570, -0.965394441697689400, 0.260609001056295920, - -0.965444430595795430, - 0.260423874615468010, -0.965494383997269500, 0.260238738599598950, - -0.965544301900275070, - 0.260053593015495130, -0.965594184302976830, 0.259868437869964330, - -0.965644031203540590, - 0.259683273169813930, -0.965693842600133690, 0.259498098921851660, - -0.965743618490924830, - 0.259312915132886350, -0.965793358874083570, 0.259127721809726150, - -0.965843063747781510, - 0.258942518959180580, -0.965892733110190860, 0.258757306588058840, - -0.965942366959485540, - 0.258572084703170390, -0.965991965293840570, 0.258386853311325710, - -0.966041528111432400, - 0.258201612419334870, -0.966091055410438830, 0.258016362034009070, - -0.966140547189038750, - 0.257831102162158930, -0.966190003445412620, 0.257645832810596440, - -0.966239424177741890, - 0.257460553986133210, -0.966288809384209580, 0.257275265695581120, - -0.966338159063000130, - 0.257089967945753230, -0.966387473212298790, 0.256904660743461850, - -0.966436751830292650, - 0.256719344095520720, -0.966485994915169840, 0.256534018008743200, - -0.966535202465119700, - 0.256348682489942910, -0.966584374478333120, 0.256163337545934570, - -0.966633510953002100, - 0.255977983183532380, -0.966682611887320190, 0.255792619409551670, - -0.966731677279481840, - 0.255607246230807550, -0.966780707127683270, 0.255421863654115460, - -0.966829701430121810, - 0.255236471686291820, -0.966878660184995910, 0.255051070334152530, - -0.966927583390505660, - 0.254865659604514630, -0.966976471044852070, 0.254680239504194990, - -0.967025323146237900, - 0.254494810040010790, -0.967074139692867040, 0.254309371218780110, - -0.967122920682944360, - 0.254123923047320620, -0.967171666114676640, 0.253938465532451140, - -0.967220375986271310, - 0.253752998680989940, -0.967269050295937790, 0.253567522499756610, - -0.967317689041886310, - 0.253382036995570270, -0.967366292222328510, 0.253196542175250560, - -0.967414859835477480, - 0.253011038045617980, -0.967463391879547440, 0.252825524613492610, - -0.967511888352754150, - 0.252640001885695580, -0.967560349253314360, 0.252454469869047900, - -0.967608774579446380, - 0.252268928570370810, -0.967657164329369880, 0.252083377996486560, - -0.967705518501305480, - 0.251897818154216910, -0.967753837093475510, 0.251712249050384750, - -0.967802120104103270, - 0.251526670691812780, -0.967850367531413620, 0.251341083085323880, - -0.967898579373632660, - 0.251155486237742030, -0.967946755628987800, 0.250969880155890720, - -0.967994896295707670, - 0.250784264846594550, -0.968043001372022260, 0.250598640316677830, - -0.968091070856162970, - 0.250413006572965280, -0.968139104746362330, 0.250227363622282540, - -0.968187103040854420, - 0.250041711471454650, -0.968235065737874320, 0.249856050127308050, - -0.968282992835658660, - 0.249670379596668520, -0.968330884332445300, 0.249484699886363010, - -0.968378740226473300, - 0.249299011003218300, -0.968426560515983190, 0.249113312954061360, - -0.968474345199216820, - 0.248927605745720260, -0.968522094274417270, 0.248741889385022420, - -0.968569807739828930, - 0.248556163878796620, -0.968617485593697540, 0.248370429233871150, - -0.968665127834269950, - 0.248184685457074780, -0.968712734459794780, 0.247998932555237220, - -0.968760305468521430, - 0.247813170535187620, -0.968807840858700970, 0.247627399403756330, - -0.968855340628585580, - 0.247441619167773440, -0.968902804776428870, 0.247255829834069320, - -0.968950233300485800, - 0.247070031409475370, -0.968997626199012310, 0.246884223900822430, - -0.969044983470266240, - 0.246698407314942500, -0.969092305112506100, 0.246512581658667380, - -0.969139591123992280, - 0.246326746938829060, -0.969186841502985950, 0.246140903162260640, - -0.969234056247750050, - 0.245955050335794590, -0.969281235356548530, 0.245769188466264670, - -0.969328378827646660, - 0.245583317560504000, -0.969375486659311280, 0.245397437625346990, - -0.969422558849810320, - 0.245211548667627680, -0.969469595397412950, 0.245025650694180470, - -0.969516596300390000, - 0.244839743711840750, -0.969563561557013180, 0.244653827727443320, - -0.969610491165555870, - 0.244467902747824210, -0.969657385124292450, 0.244281968779819170, - -0.969704243431498750, - 0.244096025830264210, -0.969751066085452140, 0.243910073905996370, - -0.969797853084430890, - 0.243724113013852130, -0.969844604426714830, 0.243538143160669180, - -0.969891320110585100, - 0.243352164353284880, -0.969938000134323960, 0.243166176598536930, - -0.969984644496215240, - 0.242980179903263980, -0.970031253194543970, 0.242794174274304190, - -0.970077826227596420, - 0.242608159718496890, -0.970124363593660280, 0.242422136242681050, - -0.970170865291024360, - 0.242236103853696040, -0.970217331317979160, 0.242050062558382180, - -0.970263761672816140, - 0.241864012363579210, -0.970310156353828110, 0.241677953276128090, - -0.970356515359309450, - 0.241491885302869300, -0.970402838687555500, 0.241305808450644390, - -0.970449126336863090, - 0.241119722726294730, -0.970495378305530450, 0.240933628136661910, - -0.970541594591857070, - 0.240747524688588540, -0.970587775194143630, 0.240561412388916620, - -0.970633920110692160, - 0.240375291244489500, -0.970680029339806130, 0.240189161262150040, - -0.970726102879790110, - 0.240003022448741500, -0.970772140728950350, 0.239816874811108110, - -0.970818142885593870, - 0.239630718356093560, -0.970864109348029470, 0.239444553090542720, - -0.970910040114567050, - 0.239258379021300120, -0.970955935183517970, 0.239072196155210660, - -0.971001794553194690, - 0.238886004499120170, -0.971047618221911100, 0.238699804059873950, - -0.971093406187982460, - 0.238513594844318500, -0.971139158449725090, 0.238327376859299970, - -0.971184875005457030, - 0.238141150111664870, -0.971230555853497380, 0.237954914608260650, - -0.971276200992166490, - 0.237768670355934210, -0.971321810419786160, 0.237582417361533650, - -0.971367384134679490, - 0.237396155631906550, -0.971412922135170940, 0.237209885173901620, - -0.971458424419585960, - 0.237023605994367340, -0.971503890986251780, 0.236837318100152380, - -0.971549321833496630, - 0.236651021498106460, -0.971594716959650160, 0.236464716195078750, - -0.971640076363043390, - 0.236278402197919620, -0.971685400042008540, 0.236092079513479050, - -0.971730687994879160, - 0.235905748148607370, -0.971775940219990140, 0.235719408110155930, - -0.971821156715677700, - 0.235533059404975460, -0.971866337480279400, 0.235346702039917920, - -0.971911482512134000, - 0.235160336021834860, -0.971956591809581600, 0.234973961357578310, - -0.972001665370963890, - 0.234787578054001080, -0.972046703194623380, 0.234601186117955550, - -0.972091705278904430, - 0.234414785556295250, -0.972136671622152120, 0.234228376375873380, - -0.972181602222713440, - 0.234041958583543460, -0.972226497078936270, 0.233855532186159950, - -0.972271356189170040, - 0.233669097190576820, -0.972316179551765300, 0.233482653603649170, - -0.972360967165074140, - 0.233296201432231560, -0.972405719027449770, 0.233109740683179740, - -0.972450435137246830, - 0.232923271363349120, -0.972495115492821190, 0.232736793479595420, - -0.972539760092530180, - 0.232550307038775330, -0.972584368934732210, 0.232363812047745010, - -0.972628942017787270, - 0.232177308513361770, -0.972673479340056430, 0.231990796442482580, - -0.972717980899902250, - 0.231804275841964780, -0.972762446695688570, 0.231617746718666580, - -0.972806876725780370, - 0.231431209079445730, -0.972851270988544180, 0.231244662931161110, - -0.972895629482347760, - 0.231058108280671280, -0.972939952205560070, 0.230871545134835070, - -0.972984239156551740, - 0.230684973500512310, -0.973028490333694100, 0.230498393384562320, - -0.973072705735360530, - 0.230311804793845530, -0.973116885359925130, 0.230125207735222020, - -0.973161029205763530, - 0.229938602215552260, -0.973205137271252800, 0.229751988241697600, - -0.973249209554771120, - 0.229565365820518870, -0.973293246054698250, 0.229378734958878120, - -0.973337246769414800, - 0.229192095663636740, -0.973381211697303290, 0.229005447941657390, - -0.973425140836747030, - 0.228818791799802360, -0.973469034186130950, 0.228632127244934230, - -0.973512891743841370, - 0.228445454283916550, -0.973556713508265560, 0.228258772923612350, - -0.973600499477792370, - 0.228072083170885790, -0.973644249650811870, 0.227885385032600700, - -0.973687964025715670, - 0.227698678515621170, -0.973731642600896400, 0.227511963626812390, - -0.973775285374748000, - 0.227325240373038830, -0.973818892345666100, 0.227138508761166260, - -0.973862463512047300, - 0.226951768798059980, -0.973905998872289460, 0.226765020490585720, - -0.973949498424792170, - 0.226578263845610110, -0.973992962167955830, 0.226391498869999210, - -0.974036390100182610, - 0.226204725570620270, -0.974079782219875680, 0.226017943954340190, - -0.974123138525439520, - 0.225831154028026200, -0.974166459015280320, 0.225644355798546440, - -0.974209743687805110, - 0.225457549272768540, -0.974252992541422500, 0.225270734457561240, - -0.974296205574542330, - 0.225083911359792780, -0.974339382785575860, 0.224897079986332540, - -0.974382524172935470, - 0.224710240344049570, -0.974425629735034990, 0.224523392439813170, - -0.974468699470289580, - 0.224336536280493690, -0.974511733377115720, 0.224149671872960840, - -0.974554731453931230, - 0.223962799224085520, -0.974597693699155050, 0.223775918340738290, - -0.974640620111207560, - 0.223589029229790020, -0.974683510688510670, 0.223402131898112480, - -0.974726365429487320, - 0.223215226352576960, -0.974769184332561770, 0.223028312600055870, - -0.974811967396159830, - 0.222841390647421280, -0.974854714618708430, 0.222654460501545550, - -0.974897425998635820, - 0.222467522169301990, -0.974940101534371720, 0.222280575657563370, - -0.974982741224347140, - 0.222093620973203590, -0.975025345066994120, 0.221906658123096260, - -0.975067913060746360, - 0.221719687114115240, -0.975110445204038890, 0.221532707953135340, - -0.975152941495307620, - 0.221345720647030810, -0.975195401932990370, 0.221158725202677100, - -0.975237826515525820, - 0.220971721626949060, -0.975280215241354220, 0.220784709926722670, - -0.975322568108916930, - 0.220597690108873650, -0.975364885116656870, 0.220410662180277940, - -0.975407166263018270, - 0.220223626147812460, -0.975449411546446380, 0.220036582018353550, - -0.975491620965388110, - 0.219849529798778750, -0.975533794518291360, 0.219662469495965180, - -0.975575932203605610, - 0.219475401116790340, -0.975618034019781750, 0.219288324668132580, - -0.975660099965271590, - 0.219101240156869770, -0.975702130038528570, 0.218914147589880900, - -0.975744124238007270, - 0.218727046974044600, -0.975786082562163930, 0.218539938316239830, - -0.975828005009455550, - 0.218352821623346430, -0.975869891578341030, 0.218165696902243770, - -0.975911742267280170, - 0.217978564159812290, -0.975953557074734300, 0.217791423402932120, - -0.975995335999165880, - 0.217604274638483670, -0.976037079039039020, 0.217417117873348300, - -0.976078786192818850, - 0.217229953114406790, -0.976120457458971910, 0.217042780368541080, - -0.976162092835966110, - 0.216855599642632570, -0.976203692322270560, 0.216668410943563790, - -0.976245255916355800, - 0.216481214278216900, -0.976286783616693630, 0.216294009653474370, - -0.976328275421757260, - 0.216106797076219600, -0.976369731330021140, 0.215919576553335460, - -0.976411151339961040, - 0.215732348091705940, -0.976452535450054060, 0.215545111698214660, - -0.976493883658778540, - 0.215357867379745550, -0.976535195964614470, 0.215170615143183500, - -0.976576472366042610, - 0.214983354995412820, -0.976617712861545640, 0.214796086943318920, - -0.976658917449606980, - 0.214608810993786920, -0.976700086128711840, 0.214421527153702190, - -0.976741218897346550, - 0.214234235429951100, -0.976782315753998650, 0.214046935829419330, - -0.976823376697157240, - 0.213859628358993830, -0.976864401725312640, 0.213672313025561140, - -0.976905390836956490, - 0.213484989836008080, -0.976946344030581560, 0.213297658797222430, - -0.976987261304682390, - 0.213110319916091360, -0.977028142657754390, 0.212922973199503260, - -0.977068988088294450, - 0.212735618654345870, -0.977109797594800880, 0.212548256287508120, - -0.977150571175773200, - 0.212360886105878580, -0.977191308829712280, 0.212173508116346080, - -0.977232010555120320, - 0.211986122325800410, -0.977272676350500860, 0.211798728741130820, - -0.977313306214358750, - 0.211611327369227610, -0.977353900145199960, 0.211423918216980810, - -0.977394458141532250, - 0.211236501291280710, -0.977434980201864260, 0.211049076599018500, - -0.977475466324706050, - 0.210861644147084830, -0.977515916508569280, 0.210674203942371490, - -0.977556330751966460, - 0.210486755991769890, -0.977596709053411780, 0.210299300302171750, - -0.977637051411420770, - 0.210111836880469720, -0.977677357824509930, 0.209924365733555860, - -0.977717628291197570, - 0.209736886868323370, -0.977757862810002760, 0.209549400291665110, - -0.977798061379446360, - 0.209361906010474190, -0.977838223998050430, 0.209174404031644700, - -0.977878350664338150, - 0.208986894362070070, -0.977918441376834370, 0.208799377008644980, - -0.977958496134064830, - 0.208611851978263460, -0.977998514934557140, 0.208424319277820650, - -0.978038497776839600, - 0.208236778914211470, -0.978078444659442380, 0.208049230894330940, - -0.978118355580896660, - 0.207861675225075150, -0.978158230539735050, 0.207674111913339540, - -0.978198069534491400, - 0.207486540966020700, -0.978237872563701090, 0.207298962390014880, - -0.978277639625900420, - 0.207111376192218560, -0.978317370719627650, 0.206923782379529210, - -0.978357065843421640, - 0.206736180958843660, -0.978396724995823090, 0.206548571937059940, - -0.978436348175373730, - 0.206360955321075680, -0.978475935380616830, 0.206173331117788770, - -0.978515486610096910, - 0.205985699334098050, -0.978555001862359550, 0.205798059976901760, - -0.978594481135952270, - 0.205610413053099320, -0.978633924429423100, 0.205422758569589780, - -0.978673331741322210, - 0.205235096533272380, -0.978712703070200420, 0.205047426951047380, - -0.978752038414610340, - 0.204859749829814420, -0.978791337773105670, 0.204672065176474290, - -0.978830601144241470, - 0.204484372997927180, -0.978869828526574120, 0.204296673301074430, - -0.978909019918661310, - 0.204108966092817010, -0.978948175319062200, 0.203921251380056150, - -0.978987294726337050, - 0.203733529169694010, -0.979026378139047580, 0.203545799468632190, - -0.979065425555756930, - 0.203358062283773370, -0.979104436975029250, 0.203170317622019920, - -0.979143412395430230, - 0.202982565490274460, -0.979182351815526930, 0.202794805895440550, - -0.979221255233887700, - 0.202607038844421110, -0.979260122649082020, 0.202419264344120220, - -0.979298954059681040, - 0.202231482401441620, -0.979337749464256780, 0.202043693023289280, - -0.979376508861383170, - 0.201855896216568160, -0.979415232249634780, 0.201668091988182500, - -0.979453919627588210, - 0.201480280345037820, -0.979492570993820700, 0.201292461294039190, - -0.979531186346911390, - 0.201104634842091960, -0.979569765685440520, 0.200916800996102370, - -0.979608309007989450, - 0.200728959762976140, -0.979646816313141210, 0.200541111149620090, - -0.979685287599479930, - 0.200353255162940420, -0.979723722865591170, 0.200165391809844500, - -0.979762122110061640, - 0.199977521097239290, -0.979800485331479680, 0.199789643032032120, - -0.979838812528434740, - 0.199601757621131050, -0.979877103699517640, 0.199413864871443750, - -0.979915358843320480, - 0.199225964789878890, -0.979953577958436740, 0.199038057383344820, - -0.979991761043461200, - 0.198850142658750120, -0.980029908096989980, 0.198662220623004320, - -0.980068019117620650, - 0.198474291283016360, -0.980106094103951770, 0.198286354645696270, - -0.980144133054583590, - 0.198098410717953730, -0.980182135968117320, 0.197910459506698720, - -0.980220102843155970, - 0.197722501018842030, -0.980258033678303550, 0.197534535261294000, - -0.980295928472165290, - 0.197346562240966000, -0.980333787223347960, 0.197158581964769040, - -0.980371609930459690, - 0.196970594439614370, -0.980409396592109910, 0.196782599672414240, - -0.980447147206909060, - 0.196594597670080220, -0.980484861773469380, 0.196406588439525050, - -0.980522540290404090, - 0.196218571987660850, -0.980560182756327950, 0.196030548321400880, - -0.980597789169856850, - 0.195842517447657990, -0.980635359529608120, 0.195654479373345370, - -0.980672893834200530, - 0.195466434105377090, -0.980710392082253970, 0.195278381650666520, - -0.980747854272389750, - 0.195090322016128330, -0.980785280403230430, 0.194902255208676660, - -0.980822670473399990, - 0.194714181235225990, -0.980860024481523870, 0.194526100102691720, - -0.980897342426228390, - 0.194338011817988600, -0.980934624306141640, 0.194149916388032530, - -0.980971870119892840, - 0.193961813819739010, -0.981009079866112630, 0.193773704120023840, - -0.981046253543432780, - 0.193585587295803750, -0.981083391150486590, 0.193397463353994740, - -0.981120492685908730, - 0.193209332301514080, -0.981157558148334830, 0.193021194145278320, - -0.981194587536402320, - 0.192833048892205290, -0.981231580848749730, 0.192644896549212240, - -0.981268538084016710, - 0.192456737123216840, -0.981305459240844670, 0.192268570621137590, - -0.981342344317875930, - 0.192080397049892380, -0.981379193313754560, 0.191892216416400310, - -0.981416006227125550, - 0.191704028727579940, -0.981452783056635520, 0.191515833990350240, - -0.981489523800932130, - 0.191327632211630990, -0.981526228458664660, 0.191139423398341420, - -0.981562897028483650, - 0.190951207557401860, -0.981599529509040720, 0.190762984695732250, - -0.981636125898989080, - 0.190574754820252800, -0.981672686196983110, 0.190386517937884580, - -0.981709210401678800, - 0.190198274055548120, -0.981745698511732990, 0.190010023180165050, - -0.981782150525804310, - 0.189821765318656580, -0.981818566442552500, 0.189633500477944220, - -0.981854946260638630, - 0.189445228664950340, -0.981891289978724990, 0.189256949886596720, - -0.981927597595475540, - 0.189068664149806280, -0.981963869109555240, 0.188880371461501330, - -0.982000104519630490, - 0.188692071828605260, -0.982036303824369020, 0.188503765258041080, - -0.982072467022439890, - 0.188315451756732120, -0.982108594112513610, 0.188127131331602530, - -0.982144685093261580, - 0.187938803989575850, -0.982180739963357200, 0.187750469737576840, - -0.982216758721474510, - 0.187562128582529740, -0.982252741366289370, 0.187373780531359110, - -0.982288687896478830, - 0.187185425590990440, -0.982324598310721160, 0.186997063768348510, - -0.982360472607696210, - 0.186808695070359330, -0.982396310786084690, 0.186620319503948420, - -0.982432112844569110, - 0.186431937076041640, -0.982467878781833170, 0.186243547793565670, - -0.982503608596561720, - 0.186055151663446630, -0.982539302287441240, 0.185866748692611720, - -0.982574959853159240, - 0.185678338887987790, -0.982610581292404750, 0.185489922256501900, - -0.982646166603868050, - 0.185301498805082040, -0.982681715786240860, 0.185113068540655510, - -0.982717228838215990, - 0.184924631470150870, -0.982752705758487830, 0.184736187600495930, - -0.982788146545751970, - 0.184547736938619640, -0.982823551198705240, 0.184359279491450640, - -0.982858919716046110, - 0.184170815265917720, -0.982894252096474070, 0.183982344268950600, - -0.982929548338690060, - 0.183793866507478390, -0.982964808441396440, 0.183605381988431350, - -0.983000032403296590, - 0.183416890718739230, -0.983035220223095640, 0.183228392705332140, - -0.983070371899499640, - 0.183039887955141060, -0.983105487431216290, 0.182851376475096310, - -0.983140566816954500, - 0.182662858272129360, -0.983175610055424420, 0.182474333353171260, - -0.983210617145337640, - 0.182285801725153320, -0.983245588085407070, 0.182097263395007760, - -0.983280522874346970, - 0.181908718369666160, -0.983315421510872810, 0.181720166656061170, - -0.983350283993701500, - 0.181531608261125130, -0.983385110321551180, 0.181343043191790590, - -0.983419900493141540, - 0.181154471454990920, -0.983454654507193270, 0.180965893057658980, - -0.983489372362428730, - 0.180777308006728670, -0.983524054057571260, 0.180588716309133280, - -0.983558699591345900, - 0.180400117971807270, -0.983593308962478650, 0.180211513001684590, - -0.983627882169697210, - 0.180022901405699510, -0.983662419211730250, 0.179834283190787180, - -0.983696920087308020, - 0.179645658363882100, -0.983731384795162090, 0.179457026931919950, - -0.983765813334025240, - 0.179268388901835880, -0.983800205702631490, 0.179079744280565390, - -0.983834561899716630, - 0.178891093075044830, -0.983868881924017220, 0.178702435292209940, - -0.983903165774271500, - 0.178513770938997590, -0.983937413449218920, 0.178325100022344140, - -0.983971624947600270, - 0.178136422549186320, -0.984005800268157870, 0.177947738526461670, - -0.984039939409634970, - 0.177759047961107140, -0.984074042370776450, 0.177570350860060790, - -0.984108109150328540, - 0.177381647230260200, -0.984142139747038570, 0.177192937078643310, - -0.984176134159655320, - 0.177004220412148860, -0.984210092386929030, 0.176815497237715000, - -0.984244014427611110, - 0.176626767562280960, -0.984277900280454370, 0.176438031392785350, - -0.984311749944212780, - 0.176249288736167940, -0.984345563417641900, 0.176060539599367960, - -0.984379340699498510, - 0.175871783989325040, -0.984413081788540700, 0.175683021912979580, - -0.984446786683527920, - 0.175494253377271400, -0.984480455383220930, 0.175305478389141370, - -0.984514087886381840, - 0.175116696955530060, -0.984547684191773960, 0.174927909083378160, - -0.984581244298162180, - 0.174739114779627310, -0.984614768204312600, 0.174550314051218490, - -0.984648255908992630, - 0.174361506905093830, -0.984681707410970940, 0.174172693348194960, - -0.984715122709017620, - 0.173983873387463850, -0.984748501801904210, 0.173795047029843270, - -0.984781844688403350, - 0.173606214282275410, -0.984815151367289140, 0.173417375151703520, - -0.984848421837337010, - 0.173228529645070490, -0.984881656097323700, 0.173039677769319390, - -0.984914854146027200, - 0.172850819531394200, -0.984948015982227030, 0.172661954938238270, - -0.984981141604703960, - 0.172473083996796030, -0.985014231012239840, 0.172284206714011350, - -0.985047284203618200, - 0.172095323096829040, -0.985080301177623800, 0.171906433152193700, - -0.985113281933042590, - 0.171717536887049970, -0.985146226468662230, 0.171528634308343500, - -0.985179134783271020, - 0.171339725423019260, -0.985212006875659460, 0.171150810238023340, - -0.985244842744618540, - 0.170961888760301360, -0.985277642388941220, 0.170772960996799230, - -0.985310405807421570, - 0.170584026954463700, -0.985343132998854790, 0.170395086640240920, - -0.985375823962037710, - 0.170206140061078120, -0.985408478695768420, 0.170017187223922090, - -0.985441097198846210, - 0.169828228135719880, -0.985473679470071810, 0.169639262803419400, - -0.985506225508247290, - 0.169450291233967930, -0.985538735312176060, 0.169261313434313890, - -0.985571208880662740, - 0.169072329411405180, -0.985603646212513400, 0.168883339172190010, - -0.985636047306535420, - 0.168694342723617440, -0.985668412161537550, 0.168505340072635900, - -0.985700740776329850, - 0.168316331226194910, -0.985733033149723490, 0.168127316191243350, - -0.985765289280531310, - 0.167938294974731230, -0.985797509167567370, 0.167749267583608030, - -0.985829692809647050, - 0.167560234024823590, -0.985861840205586980, 0.167371194305328540, - -0.985893951354205210, - 0.167182148432072880, -0.985926026254321130, 0.166993096412007770, - -0.985958064904755460, - 0.166804038252083870, -0.985990067304330030, 0.166614973959252090, - -0.986022033451868560, - 0.166425903540464220, -0.986053963346195440, 0.166236827002671390, - -0.986085856986136820, - 0.166047744352825850, -0.986117714370520090, 0.165858655597879430, - -0.986149535498173860, - 0.165669560744784140, -0.986181320367928270, 0.165480459800492890, - -0.986213068978614490, - 0.165291352771957970, -0.986244781329065460, 0.165102239666132720, - -0.986276457418114980, - 0.164913120489970090, -0.986308097244598670, 0.164723995250423190, - -0.986339700807353000, - 0.164534863954446110, -0.986371268105216030, 0.164345726608992190, - -0.986402799137027220, - 0.164156583221015890, -0.986434293901627070, 0.163967433797471110, - -0.986465752397857940, - 0.163778278345312690, -0.986497174624562880, 0.163589116871495160, - -0.986528560580586690, - 0.163399949382973230, -0.986559910264775410, 0.163210775886702460, - -0.986591223675976400, - 0.163021596389637810, -0.986622500813038480, 0.162832410898735260, - -0.986653741674811350, - 0.162643219420950450, -0.986684946260146690, 0.162454021963239190, - -0.986716114567897100, - 0.162264818532558110, -0.986747246596916480, 0.162075609135863330, - -0.986778342346060430, - 0.161886393780111910, -0.986809401814185420, 0.161697172472260540, - -0.986840425000149680, - 0.161507945219266150, -0.986871411902812470, 0.161318712028086540, - -0.986902362521034470, - 0.161129472905678780, -0.986933276853677710, 0.160940227859001140, - -0.986964154899605650, - 0.160750976895011390, -0.986994996657682870, 0.160561720020667510, - -0.987025802126775600, - 0.160372457242928400, -0.987056571305750970, 0.160183188568752240, - -0.987087304193477900, - 0.159993914005098350, -0.987118000788826280, 0.159804633558925380, - -0.987148661090667570, - 0.159615347237193090, -0.987179285097874340, 0.159426055046860750, - -0.987209872809320820, - 0.159236756994887850, -0.987240424223882250, 0.159047453088234840, - -0.987270939340435420, - 0.158858143333861390, -0.987301418157858430, 0.158668827738728370, - -0.987331860675030430, - 0.158479506309796100, -0.987362266890832400, 0.158290179054025180, - -0.987392636804146240, - 0.158100845978377090, -0.987422970413855410, 0.157911507089812640, - -0.987453267718844560, - 0.157722162395293690, -0.987483528717999710, 0.157532811901781670, - -0.987513753410208420, - 0.157343455616238280, -0.987543941794359230, 0.157154093545626010, - -0.987574093869342360, - 0.156964725696906750, -0.987604209634049160, 0.156775352077043430, - -0.987634289087372160, - 0.156585972692998590, -0.987664332228205710, 0.156396587551734940, - -0.987694339055445130, - 0.156207196660216040, -0.987724309567986960, 0.156017800025404830, - -0.987754243764729530, - 0.155828397654265320, -0.987784141644572180, 0.155638989553760850, - -0.987814003206415550, - 0.155449575730855880, -0.987843828449161740, 0.155260156192514380, - -0.987873617371714200, - 0.155070730945700510, -0.987903369972977790, 0.154881299997379400, - -0.987933086251858380, - 0.154691863354515400, -0.987962766207263420, 0.154502421024073990, - -0.987992409838101880, - 0.154312973013020240, -0.988022017143283530, 0.154123519328319360, - -0.988051588121720110, - 0.153934059976937460, -0.988081122772324070, 0.153744594965840000, - -0.988110621094009820, - 0.153555124301993500, -0.988140083085692570, 0.153365647992364020, - -0.988169508746289060, - 0.153176166043917870, -0.988198898074717610, 0.152986678463622160, - -0.988228251069897420, - 0.152797185258443410, -0.988257567730749460, 0.152607686435349140, - -0.988286848056195710, - 0.152418182001306500, -0.988316092045159690, 0.152228671963282770, - -0.988345299696566150, - 0.152039156328246160, -0.988374471009341280, 0.151849635103164180, - -0.988403605982412390, - 0.151660108295005400, -0.988432704614708340, 0.151470575910737760, - -0.988461766905159300, - 0.151281037957330250, -0.988490792852696590, 0.151091494441751430, - -0.988519782456253270, - 0.150901945370970040, -0.988548735714763200, 0.150712390751955720, - -0.988577652627162020, - 0.150522830591677370, -0.988606533192386450, 0.150333264897105050, - -0.988635377409374790, - 0.150143693675208330, -0.988664185277066230, 0.149954116932956990, - -0.988692956794401940, - 0.149764534677321620, -0.988721691960323780, 0.149574946915272210, - -0.988750390773775360, - 0.149385353653779810, -0.988779053233701520, 0.149195754899814960, - -0.988807679339048340, - 0.149006150660348470, -0.988836269088763540, 0.148816540942352030, - -0.988864822481795640, - 0.148626925752796540, -0.988893339517095130, 0.148437305098654050, - -0.988921820193613190, - 0.148247678986896200, -0.988950264510302990, 0.148058047424494740, - -0.988978672466118480, - 0.147868410418422360, -0.989007044060015270, 0.147678767975650970, - -0.989035379290950310, - 0.147489120103153680, -0.989063678157881540, 0.147299466807902820, - -0.989091940659768800, - 0.147109808096871850, -0.989120166795572690, 0.146920143977033760, - -0.989148356564255590, - 0.146730474455361750, -0.989176509964781010, 0.146540799538829870, - -0.989204626996113780, - 0.146351119234411440, -0.989232707657220050, 0.146161433549080950, - -0.989260751947067640, - 0.145971742489812370, -0.989288759864625170, 0.145782046063579860, - -0.989316731408863000, - 0.145592344277358450, -0.989344666578752640, 0.145402637138122540, - -0.989372565373267010, - 0.145212924652847520, -0.989400427791380380, 0.145023206828508360, - -0.989428253832068230, - 0.144833483672080240, -0.989456043494307710, 0.144643755190539150, - -0.989483796777076760, - 0.144454021390860440, -0.989511513679355190, 0.144264282280020530, - -0.989539194200123930, - 0.144074537864995330, -0.989566838338365120, 0.143884788152761010, - -0.989594446093062460, - 0.143695033150294580, -0.989622017463200780, 0.143505272864572290, - -0.989649552447766530, - 0.143315507302571590, -0.989677051045747210, 0.143125736471269140, - -0.989704513256131850, - 0.142935960377642700, -0.989731939077910570, 0.142746179028669620, - -0.989759328510075200, - 0.142556392431327340, -0.989786681551618640, 0.142366600592594260, - -0.989813998201535260, - 0.142176803519448000, -0.989841278458820530, 0.141987001218867340, - -0.989868522322471580, - 0.141797193697830530, -0.989895729791486660, 0.141607380963316020, - -0.989922900864865450, - 0.141417563022303130, -0.989950035541608990, 0.141227739881770480, - -0.989977133820719610, - 0.141037911548697770, -0.990004195701200910, 0.140848078030064220, - -0.990031221182058000, - 0.140658239332849240, -0.990058210262297120, 0.140468395464033110, - -0.990085162940925970, - 0.140278546430595420, -0.990112079216953770, 0.140088692239516780, - -0.990138959089390650, - 0.139898832897777380, -0.990165802557248400, 0.139708968412357580, - -0.990192609619540030, - 0.139519098790238600, -0.990219380275280000, 0.139329224038400980, - -0.990246114523483990, - 0.139139344163826280, -0.990272812363169110, 0.138949459173495440, - -0.990299473793353590, - 0.138759569074390380, -0.990326098813057330, 0.138569673873492640, - -0.990352687421301340, - 0.138379773577783890, -0.990379239617108160, 0.138189868194246640, - -0.990405755399501260, - 0.137999957729862760, -0.990432234767505970, 0.137810042191615130, - -0.990458677720148620, - 0.137620121586486180, -0.990485084256456980, 0.137430195921458550, - -0.990511454375460290, - 0.137240265203515700, -0.990537788076188750, 0.137050329439640380, - -0.990564085357674370, - 0.136860388636816430, -0.990590346218950150, 0.136670442802027230, - -0.990616570659050620, - 0.136480491942256310, -0.990642758677011570, 0.136290536064488070, - -0.990668910271869980, - 0.136100575175706200, -0.990695025442664630, 0.135910609282895440, - -0.990721104188435180, - 0.135720638393040080, -0.990747146508222710, 0.135530662513124620, - -0.990773152401069780, - 0.135340681650134330, -0.990799121866020370, 0.135150695811053850, - -0.990825054902119470, - 0.134960705002868830, -0.990850951508413620, 0.134770709232564290, - -0.990876811683950810, - 0.134580708507126220, -0.990902635427780010, 0.134390702833540240, - -0.990928422738951990, - 0.134200692218792020, -0.990954173616518500, 0.134010676669868210, - -0.990979888059532740, - 0.133820656193754690, -0.991005566067049370, 0.133630630797438390, - -0.991031207638124130, - 0.133440600487905820, -0.991056812771814340, 0.133250565272143570, - -0.991082381467178640, - 0.133060525157139180, -0.991107913723276780, 0.132870480149879400, - -0.991133409539170170, - 0.132680430257352130, -0.991158868913921350, 0.132490375486544710, - -0.991184291846594180, - 0.132300315844444680, -0.991209678336254060, 0.132110251338040470, - -0.991235028381967420, - 0.131920181974319760, -0.991260341982802440, 0.131730107760271280, - -0.991285619137828200, - 0.131540028702883280, -0.991310859846115440, 0.131349944809144220, - -0.991336064106736140, - 0.131159856086043410, -0.991361231918763460, 0.130969762540569380, - -0.991386363281272280, - 0.130779664179711790, -0.991411458193338540, 0.130589561010459600, - -0.991436516654039420, - 0.130399453039802740, -0.991461538662453790, 0.130209340274730770, - -0.991486524217661480, - 0.130019222722233350, -0.991511473318743900, 0.129829100389301010, - -0.991536385964783880, - 0.129638973282923540, -0.991561262154865290, 0.129448841410091830, - -0.991586101888073500, - 0.129258704777796270, -0.991610905163495370, 0.129068563393027410, - -0.991635671980218740, - 0.128878417262776660, -0.991660402337333210, 0.128688266394034690, - -0.991685096233929530, - 0.128498110793793220, -0.991709753669099530, 0.128307950469043590, - -0.991734374641936810, - 0.128117785426777150, -0.991758959151536110, 0.127927615673986190, - -0.991783507196993490, - 0.127737441217662280, -0.991808018777406430, 0.127547262064798050, - -0.991832493891873780, - 0.127357078222385570, -0.991856932539495360, 0.127166889697417180, - -0.991881334719373010, - 0.126976696496885980, -0.991905700430609330, 0.126786498627784430, - -0.991930029672308480, - 0.126596296097105960, -0.991954322443575950, 0.126406088911843320, - -0.991978578743518580, - 0.126215877078990400, -0.992002798571244520, 0.126025660605540460, - -0.992026981925863360, - 0.125835439498487020, -0.992051128806485720, 0.125645213764824380, - -0.992075239212224070, - 0.125454983411546210, -0.992099313142191800, 0.125264748445647110, - -0.992123350595503720, - 0.125074508874121300, -0.992147351571276090, 0.124884264703963150, - -0.992171316068626520, - 0.124694015942167770, -0.992195244086673920, 0.124503762595729650, - -0.992219135624538450, - 0.124313504671644300, -0.992242990681341700, 0.124123242176906760, - -0.992266809256206580, - 0.123932975118512200, -0.992290591348257370, 0.123742703503456630, - -0.992314336956619640, - 0.123552427338735370, -0.992338046080420420, 0.123362146631344750, - -0.992361718718787870, - 0.123171861388280650, -0.992385354870851670, 0.122981571616539080, - -0.992408954535742850, - 0.122791277323116900, -0.992432517712593550, 0.122600978515010240, - -0.992456044400537700, - 0.122410675199216280, -0.992479534598709970, 0.122220367382731500, - -0.992502988306246950, - 0.122030055072553410, -0.992526405522286100, 0.121839738275679020, - -0.992549786245966570, - 0.121649416999105540, -0.992573130476428810, 0.121459091249830950, - -0.992596438212814290, - 0.121268761034852550, -0.992619709454266140, 0.121078426361168710, - -0.992642944199928820, - 0.120888087235777220, -0.992666142448948020, 0.120697743665676120, - -0.992689304200470750, - 0.120507395657864240, -0.992712429453645460, 0.120317043219339670, - -0.992735518207621850, - 0.120126686357101580, -0.992758570461551140, 0.119936325078148620, - -0.992781586214585570, - 0.119745959389479630, -0.992804565465879140, 0.119555589298094230, - -0.992827508214586760, - 0.119365214810991350, -0.992850414459865100, 0.119174835935170960, - -0.992873284200871730, - 0.118984452677632520, -0.992896117436765980, 0.118794065045375670, - -0.992918914166708300, - 0.118603673045400840, -0.992941674389860470, 0.118413276684707770, - -0.992964398105385610, - 0.118222875970297250, -0.992987085312448390, 0.118032470909169300, - -0.993009736010214580, - 0.117842061508325020, -0.993032350197851410, 0.117651647774765000, - -0.993054927874527320, - 0.117461229715489990, -0.993077469039412300, 0.117270807337501560, - -0.993099973691677570, - 0.117080380647800550, -0.993122441830495580, 0.116889949653388850, - -0.993144873455040430, - 0.116699514361267840, -0.993167268564487230, 0.116509074778439050, - -0.993189627158012620, - 0.116318630911904880, -0.993211949234794500, 0.116128182768666920, - -0.993234234794012290, - 0.115937730355727850, -0.993256483834846440, 0.115747273680089870, - -0.993278696356479030, - 0.115556812748755290, -0.993300872358093280, 0.115366347568727250, - -0.993323011838873950, - 0.115175878147008180, -0.993345114798006910, 0.114985404490601530, - -0.993367181234679600, - 0.114794926606510250, -0.993389211148080650, 0.114604444501737460, - -0.993411204537400060, - 0.114413958183287050, -0.993433161401829360, 0.114223467658162260, - -0.993455081740560960, - 0.114032972933367300, -0.993476965552789190, 0.113842474015905660, - -0.993498812837709360, - 0.113651970912781920, -0.993520623594518090, 0.113461463631000080, - -0.993542397822413600, - 0.113270952177564360, -0.993564135520595300, 0.113080436559479720, - -0.993585836688263950, - 0.112889916783750470, -0.993607501324621610, 0.112699392857381910, - -0.993629129428871720, - 0.112508864787378830, -0.993650721000219120, 0.112318332580746190, - -0.993672276037870010, - 0.112127796244489750, -0.993693794541031680, 0.111937255785614560, - -0.993715276508913230, - 0.111746711211126660, -0.993736721940724600, 0.111556162528031630, - -0.993758130835677430, - 0.111365609743335190, -0.993779503192984580, 0.111175052864043830, - -0.993800839011860120, - 0.110984491897163380, -0.993822138291519660, 0.110793926849700630, - -0.993843401031180180, - 0.110603357728661910, -0.993864627230059750, 0.110412784541053660, - -0.993885816887378090, - 0.110222207293883180, -0.993906970002356060, 0.110031625994157000, - -0.993928086574215830, - 0.109841040648882680, -0.993949166602181130, 0.109650451265067080, - -0.993970210085476920, - 0.109459857849718030, -0.993991217023329380, 0.109269260409842920, - -0.994012187414966220, - 0.109078658952449240, -0.994033121259616400, 0.108888053484545310, - -0.994054018556510210, - 0.108697444013138670, -0.994074879304879370, 0.108506830545237980, - -0.994095703503956930, - 0.108316213087851300, -0.994116491152977070, 0.108125591647986880, - -0.994137242251175720, - 0.107934966232653760, -0.994157956797789730, 0.107744336848860260, - -0.994178634792057590, - 0.107553703503615710, -0.994199276233218910, 0.107363066203928920, - -0.994219881120514850, - 0.107172424956808870, -0.994240449453187900, 0.106981779769265340, - -0.994260981230481790, - 0.106791130648307380, -0.994281476451641550, 0.106600477600945030, - -0.994301935115913580, - 0.106409820634187840, -0.994322357222545810, 0.106219159755045520, - -0.994342742770787270, - 0.106028494970528530, -0.994363091759888570, 0.105837826287646670, - -0.994383404189101430, - 0.105647153713410700, -0.994403680057679100, 0.105456477254830660, - -0.994423919364875950, - 0.105265796918917650, -0.994444122109948040, 0.105075112712682180, - -0.994464288292152390, - 0.104884424643134970, -0.994484417910747600, 0.104693732717287500, - -0.994504510964993590, - 0.104503036942150550, -0.994524567454151740, 0.104312337324735870, - -0.994544587377484300, - 0.104121633872054730, -0.994564570734255420, 0.103930926591118540, - -0.994584517523730340, - 0.103740215488939480, -0.994604427745175660, 0.103549500572529040, - -0.994624301397859400, - 0.103358781848899700, -0.994644138481050710, 0.103168059325063390, - -0.994663938994020280, - 0.102977333008032250, -0.994683702936040250, 0.102786602904819150, - -0.994703430306383860, - 0.102595869022436280, -0.994723121104325700, 0.102405131367896790, - -0.994742775329142010, - 0.102214389948213370, -0.994762392980109930, 0.102023644770398800, - -0.994781974056508260, - 0.101832895841466670, -0.994801518557617110, 0.101642143168429830, - -0.994821026482717860, - 0.101451386758302160, -0.994840497831093180, 0.101260626618096800, - -0.994859932602027320, - 0.101069862754827880, -0.994879330794805620, 0.100879095175509010, - -0.994898692408714870, - 0.100688323887153970, -0.994918017443043200, 0.100497548896777310, - -0.994937305897080070, - 0.100306770211392820, -0.994956557770116380, 0.100115987838015370, - -0.994975773061444140, - 0.099925201783659226, -0.994994951770357020, 0.099734412055338839, - -0.995014093896149700, - 0.099543618660069444, -0.995033199438118630, 0.099352821604865513, - -0.995052268395561160, - 0.099162020896742573, -0.995071300767776170, 0.098971216542715582, - -0.995090296554063890, - 0.098780408549799664, -0.995109255753726110, 0.098589596925010708, - -0.995128178366065490, - 0.098398781675363881, -0.995147064390386470, 0.098207962807875346, - -0.995165913825994620, - 0.098017140329560770, -0.995184726672196820, 0.097826314247435903, - -0.995203502928301510, - 0.097635484568517339, -0.995222242593618240, 0.097444651299820870, - -0.995240945667458130, - 0.097253814448363354, -0.995259612149133390, 0.097062974021160875, - -0.995278242037957670, - 0.096872130025230527, -0.995296835333246090, 0.096681282467588864, - -0.995315392034315070, - 0.096490431355252607, -0.995333912140482280, 0.096299576695239225, - -0.995352395651066810, - 0.096108718494565468, -0.995370842565388990, 0.095917856760249096, - -0.995389252882770690, - 0.095726991499307315, -0.995407626602534900, 0.095536122718757485, - -0.995425963724006160, - 0.095345250425617742, -0.995444264246510340, 0.095154374626905472, - -0.995462528169374420, - 0.094963495329639061, -0.995480755491926940, 0.094772612540836410, - -0.995498946213497770, - 0.094581726267515473, -0.995517100333418110, 0.094390836516695067, - -0.995535217851020390, - 0.094199943295393190, -0.995553298765638470, 0.094009046610628907, - -0.995571343076607770, - 0.093818146469420494, -0.995589350783264600, 0.093627242878787237, - -0.995607321884947050, - 0.093436335845747912, -0.995625256380994310, 0.093245425377321389, - -0.995643154270746900, - 0.093054511480527333, -0.995661015553546910, 0.092863594162384697, - -0.995678840228737540, - 0.092672673429913366, -0.995696628295663520, 0.092481749290132753, - -0.995714379753670610, - 0.092290821750062355, -0.995732094602106430, 0.092099890816722485, - -0.995749772840319400, - 0.091908956497132696, -0.995767414467659820, 0.091718018798313525, - -0.995785019483478750, - 0.091527077727284981, -0.995802587887129160, 0.091336133291067212, - -0.995820119677964910, - 0.091145185496681130, -0.995837614855341610, 0.090954234351146898, - -0.995855073418615790, - 0.090763279861485704, -0.995872495367145730, 0.090572322034718156, - -0.995889880700290720, - 0.090381360877865011, -0.995907229417411720, 0.090190396397947820, - -0.995924541517870690, - 0.089999428601987341, -0.995941817001031350, 0.089808457497005362, - -0.995959055866258320, - 0.089617483090022917, -0.995976258112917790, 0.089426505388062016, - -0.995993423740377360, - 0.089235524398144139, -0.996010552748005870, 0.089044540127290905, - -0.996027645135173610, - 0.088853552582524684, -0.996044700901251970, 0.088662561770867121, - -0.996061720045614000, - 0.088471567699340822, -0.996078702567633980, 0.088280570374967879, - -0.996095648466687300, - 0.088089569804770507, -0.996112557742151130, 0.087898565995771685, - -0.996129430393403740, - 0.087707558954993645, -0.996146266419824620, 0.087516548689459586, - -0.996163065820794950, - 0.087325535206192226, -0.996179828595696870, 0.087134518512214321, - -0.996196554743914220, - 0.086943498614549489, -0.996213244264832040, 0.086752475520220515, - -0.996229897157836500, - 0.086561449236251239, -0.996246513422315520, 0.086370419769664919, - -0.996263093057658030, - 0.086179387127484922, -0.996279636063254650, 0.085988351316735448, - -0.996296142438496850, - 0.085797312344439880, -0.996312612182778000, 0.085606270217622613, - -0.996329045295492380, - 0.085415224943307277, -0.996345441776035900, 0.085224176528518519, - -0.996361801623805720, - 0.085033124980280414, -0.996378124838200210, 0.084842070305617148, - -0.996394411418619290, - 0.084651012511553700, -0.996410661364464100, 0.084459951605114297, - -0.996426874675137240, - 0.084268887593324127, -0.996443051350042630, 0.084077820483207846, - -0.996459191388585410, - 0.083886750281790226, -0.996475294790172160, 0.083695676996096827, - -0.996491361554210920, - 0.083504600633152404, -0.996507391680110820, 0.083313521199982740, - -0.996523385167282450, - 0.083122438703613077, -0.996539342015137940, 0.082931353151068726, - -0.996555262223090540, - 0.082740264549375803, -0.996571145790554840, 0.082549172905559659, - -0.996586992716946950, - 0.082358078226646619, -0.996602803001684130, 0.082166980519662466, - -0.996618576644185070, - 0.081975879791633108, -0.996634313643869900, 0.081784776049585201, - -0.996650014000160070, - 0.081593669300544638, -0.996665677712478160, 0.081402559551538328, - -0.996681304780248300, - 0.081211446809592386, -0.996696895202896060, 0.081020331081733912, - -0.996712448979848010, - 0.080829212374989468, -0.996727966110532490, 0.080638090696385709, - -0.996743446594378860, - 0.080446966052950097, -0.996758890430818000, 0.080255838451709291, - -0.996774297619282050, - 0.080064707899690932, -0.996789668159204560, 0.079873574403922148, - -0.996805002050020320, - 0.079682437971430126, -0.996820299291165670, 0.079491298609242866, - -0.996835559882078170, - 0.079300156324387569, -0.996850783822196610, 0.079109011123892431, - -0.996865971110961310, - 0.078917863014785095, -0.996881121747813850, 0.078726712004093313, - -0.996896235732197210, - 0.078535558098845590, -0.996911313063555740, 0.078344401306069678, - -0.996926353741335090, - 0.078153241632794315, -0.996941357764982160, 0.077962079086047645, - -0.996956325133945280, - 0.077770913672857989, -0.996971255847674320, 0.077579745400254363, - -0.996986149905620180, - 0.077388574275265049, -0.997001007307235290, 0.077197400304919297, - -0.997015828051973310, - 0.077006223496245585, -0.997030612139289450, 0.076815043856273399, - -0.997045359568640040, - 0.076623861392031617, -0.997060070339482960, 0.076432676110549283, - -0.997074744451277310, - 0.076241488018856149, -0.997089381903483400, 0.076050297123981231, - -0.997103982695563330, - 0.075859103432954503, -0.997118546826979980, 0.075667906952805383, - -0.997133074297198110, - 0.075476707690563416, -0.997147565105683480, 0.075285505653258880, - -0.997162019251903290, - 0.075094300847921291, -0.997176436735326190, 0.074903093281581137, - -0.997190817555421940, - 0.074711882961268378, -0.997205161711661850, 0.074520669894013014, - -0.997219469203518670, - 0.074329454086845867, -0.997233740030466160, 0.074138235546796952, - -0.997247974191979860, - 0.073947014280897269, -0.997262171687536170, 0.073755790296177265, - -0.997276332516613180, - 0.073564563599667454, -0.997290456678690210, 0.073373334198399157, - -0.997304544173247990, - 0.073182102099402888, -0.997318594999768600, 0.072990867309710133, - -0.997332609157735470, - 0.072799629836351618, -0.997346586646633230, 0.072608389686359048, - -0.997360527465947940, - 0.072417146866763538, -0.997374431615167030, 0.072225901384596336, - -0.997388299093779460, - 0.072034653246889416, -0.997402129901275300, 0.071843402460674000, - -0.997415924037145960, - 0.071652149032982254, -0.997429681500884180, 0.071460892970845832, - -0.997443402291984360, - 0.071269634281296415, -0.997457086409941910, 0.071078372971366502, - -0.997470733854253670, - 0.070887109048087787, -0.997484344624417930, 0.070695842518492924, - -0.997497918719934210, - 0.070504573389614009, -0.997511456140303450, 0.070313301668483263, - -0.997524956885027960, - 0.070122027362133646, -0.997538420953611230, 0.069930750477597295, - -0.997551848345558430, - 0.069739471021907376, -0.997565239060375750, 0.069548189002096472, - -0.997578593097570800, - 0.069356904425197236, -0.997591910456652630, 0.069165617298243109, - -0.997605191137131640, - 0.068974327628266732, -0.997618435138519550, 0.068783035422301728, - -0.997631642460329320, - 0.068591740687380900, -0.997644813102075420, 0.068400443430538069, - -0.997657947063273710, - 0.068209143658806454, -0.997671044343441000, 0.068017841379219388, - -0.997684104942096030, - 0.067826536598810966, -0.997697128858758500, 0.067635229324614451, - -0.997710116092949570, - 0.067443919563664106, -0.997723066644191640, 0.067252607322993652, - -0.997735980512008620, - 0.067061292609636836, -0.997748857695925690, 0.066869975430628226, - -0.997761698195469560, - 0.066678655793001543, -0.997774502010167820, 0.066487333703791507, - -0.997787269139549960, - 0.066296009170032283, -0.997799999583146470, 0.066104682198758091, - -0.997812693340489280, - 0.065913352797003930, -0.997825350411111640, 0.065722020971803977, - -0.997837970794548280, - 0.065530686730193397, -0.997850554490335110, 0.065339350079206798, - -0.997863101498009500, - 0.065148011025878860, -0.997875611817110150, 0.064956669577245010, - -0.997888085447177110, - 0.064765325740339871, -0.997900522387751620, 0.064573979522199065, - -0.997912922638376610, - 0.064382630929857410, -0.997925286198596000, 0.064191279970350679, - -0.997937613067955250, - 0.063999926650714078, -0.997949903246001190, 0.063808570977982898, - -0.997962156732281950, - 0.063617212959193190, -0.997974373526346990, 0.063425852601380200, - -0.997986553627747020, - 0.063234489911580136, -0.997998697036034390, 0.063043124896828631, - -0.998010803750762450, - 0.062851757564161420, -0.998022873771486240, 0.062660387920614985, - -0.998034907097761770, - 0.062469015973224969, -0.998046903729146840, 0.062277641729028041, - -0.998058863665200250, - 0.062086265195060247, -0.998070786905482340, 0.061894886378357744, - -0.998082673449554590, - 0.061703505285957416, -0.998094523296980010, 0.061512121924895365, - -0.998106336447323050, - 0.061320736302208648, -0.998118112900149180, 0.061129348424933755, - -0.998129852655025520, - 0.060937958300107238, -0.998141555711520520, 0.060746565934766412, - -0.998153222069203650, - 0.060555171335947781, -0.998164851727646240, 0.060363774510688827, - -0.998176444686420530, - 0.060172375466026218, -0.998188000945100300, 0.059980974208997596, - -0.998199520503260660, - 0.059789570746640007, -0.998211003360478190, 0.059598165085990598, - -0.998222449516330550, - 0.059406757234087247, -0.998233858970396850, 0.059215347197967026, - -0.998245231722257880, - 0.059023934984667986, -0.998256567771495180, 0.058832520601227581, - -0.998267867117692110, - 0.058641104054683348, -0.998279129760433200, 0.058449685352073573, - -0.998290355699304350, - 0.058258264500435732, -0.998301544933892890, 0.058066841506808263, - -0.998312697463787260, - 0.057875416378229017, -0.998323813288577560, 0.057683989121735932, - -0.998334892407855000, - 0.057492559744367684, -0.998345934821212370, 0.057301128253162144, - -0.998356940528243420, - 0.057109694655158132, -0.998367909528543820, 0.056918258957393907, - -0.998378841821709990, - 0.056726821166907783, -0.998389737407340160, 0.056535381290738825, - -0.998400596285033640, - 0.056343939335925283, -0.998411418454391300, 0.056152495309506383, - -0.998422203915015020, - 0.055961049218520520, -0.998432952666508440, 0.055769601070007072, - -0.998443664708476340, - 0.055578150871004817, -0.998454340040524800, 0.055386698628552604, - -0.998464978662261250, - 0.055195244349690031, -0.998475580573294770, 0.055003788041455885, - -0.998486145773235360, - 0.054812329710889909, -0.998496674261694640, 0.054620869365031251, - -0.998507166038285490, - 0.054429407010919147, -0.998517621102622210, 0.054237942655593556, - -0.998528039454320230, - 0.054046476306093640, -0.998538421092996730, 0.053855007969459509, - -0.998548766018269920, - 0.053663537652730679, -0.998559074229759310, 0.053472065362946755, - -0.998569345727086110, - 0.053280591107148056, -0.998579580509872500, 0.053089114892374119, - -0.998589778577742230, - 0.052897636725665401, -0.998599939930320370, 0.052706156614061798, - -0.998610064567233340, - 0.052514674564603257, -0.998620152488108870, 0.052323190584330471, - -0.998630203692576050, - 0.052131704680283317, -0.998640218180265270, 0.051940216859502626, - -0.998650195950808280, - 0.051748727129028414, -0.998660137003838490, 0.051557235495901653, - -0.998670041338990070, - 0.051365741967162731, -0.998679908955899090, 0.051174246549852087, - -0.998689739854202620, - 0.050982749251010900, -0.998699534033539280, 0.050791250077679546, - -0.998709291493549030, - 0.050599749036899337, -0.998719012233872940, 0.050408246135710995, - -0.998728696254153720, - 0.050216741381155325, -0.998738343554035230, 0.050025234780273840, - -0.998747954133162860, - 0.049833726340107257, -0.998757527991183340, 0.049642216067697226, - -0.998767065127744380, - 0.049450703970084824, -0.998776565542495610, 0.049259190054311168, - -0.998786029235087640, - 0.049067674327418126, -0.998795456205172410, 0.048876156796446746, - -0.998804846452403420, - 0.048684637468439020, -0.998814199976435390, 0.048493116350436342, - -0.998823516776924380, - 0.048301593449480172, -0.998832796853527990, 0.048110068772612716, - -0.998842040205904840, - 0.047918542326875327, -0.998851246833715180, 0.047727014119310344, - -0.998860416736620520, - 0.047535484156959261, -0.998869549914283560, 0.047343952446864526, - -0.998878646366368690, - 0.047152418996068000, -0.998887706092541290, 0.046960883811611599, - -0.998896729092468410, - 0.046769346900537960, -0.998905715365818290, 0.046577808269888908, - -0.998914664912260440, - 0.046386267926707213, -0.998923577731465780, 0.046194725878035046, - -0.998932453823106690, - 0.046003182130914644, -0.998941293186856870, 0.045811636692388955, - -0.998950095822391250, - 0.045620089569500123, -0.998958861729386080, 0.045428540769291224, - -0.998967590907519300, - 0.045236990298804750, -0.998976283356469820, 0.045045438165083225, - -0.998984939075918010, - 0.044853884375169933, -0.998993558065545680, 0.044662328936107311, - -0.999002140325035980, - 0.044470771854938744, -0.999010685854073380, 0.044279213138707016, - -0.999019194652343460, - 0.044087652794454979, -0.999027666719533690, 0.043896090829226200, - -0.999036102055332330, - 0.043704527250063421, -0.999044500659429290, 0.043512962064010327, - -0.999052862531515930, - 0.043321395278109784, -0.999061187671284600, 0.043129826899405595, - -0.999069476078429330, - 0.042938256934940959, -0.999077727752645360, 0.042746685391759139, - -0.999085942693629270, - 0.042555112276904117, -0.999094120901079070, 0.042363537597419038, - -0.999102262374694130, - 0.042171961360348002, -0.999110367114174890, 0.041980383572734502, - -0.999118435119223490, - 0.041788804241622082, -0.999126466389543390, 0.041597223374055005, - -0.999134460924839150, - 0.041405640977076712, -0.999142418724816910, 0.041214057057731589, - -0.999150339789184110, - 0.041022471623063397, -0.999158224117649430, 0.040830884680115968, - -0.999166071709923000, - 0.040639296235933854, -0.999173882565716380, 0.040447706297560768, - -0.999181656684742350, - 0.040256114872041358, -0.999189394066714920, 0.040064521966419686, - -0.999197094711349880, - 0.039872927587739845, -0.999204758618363890, 0.039681331743046659, - -0.999212385787475290, - 0.039489734439384118, -0.999219976218403530, 0.039298135683797149, - -0.999227529910869610, - 0.039106535483329839, -0.999235046864595850, 0.038914933845027241, - -0.999242527079305830, - 0.038723330775933762, -0.999249970554724420, 0.038531726283093877, - -0.999257377290578060, - 0.038340120373552791, -0.999264747286594420, 0.038148513054354856, - -0.999272080542502610, - 0.037956904332545366, -0.999279377058032710, 0.037765294215169005, - -0.999286636832916740, - 0.037573682709270514, -0.999293859866887790, 0.037382069821895340, - -0.999301046159680070, - 0.037190455560088091, -0.999308195711029470, 0.036998839930894332, - -0.999315308520673070, - 0.036807222941358991, -0.999322384588349540, 0.036615604598527057, - -0.999329423913798420, - 0.036423984909444228, -0.999336426496761240, 0.036232363881155374, - -0.999343392336980220, - 0.036040741520706299, -0.999350321434199440, 0.035849117835142184, - -0.999357213788164000, - 0.035657492831508264, -0.999364069398620550, 0.035465866516850478, - -0.999370888265317060, - 0.035274238898213947, -0.999377670388002850, 0.035082609982644702, - -0.999384415766428560, - 0.034890979777187955, -0.999391124400346050, 0.034699348288889847, - -0.999397796289508640, - 0.034507715524795889, -0.999404431433671300, 0.034316081491951658, - -0.999411029832589780, - 0.034124446197403423, -0.999417591486021720, 0.033932809648196623, - -0.999424116393725640, - 0.033741171851377642, -0.999430604555461730, 0.033549532813992221, - -0.999437055970991530, - 0.033357892543086159, -0.999443470640077770, 0.033166251045705968, - -0.999449848562484530, - 0.032974608328897315, -0.999456189737977340, 0.032782964399706793, - -0.999462494166323160, - 0.032591319265180385, -0.999468761847290050, 0.032399672932364114, - -0.999474992780647780, - 0.032208025408304704, -0.999481186966166950, 0.032016376700048046, - -0.999487344403620080, - 0.031824726814640963, -0.999493465092780590, 0.031633075759129645, - -0.999499549033423640, - 0.031441423540560343, -0.999505596225325310, 0.031249770165979990, - -0.999511606668263440, - 0.031058115642434700, -0.999517580362016990, 0.030866459976971503, - -0.999523517306366350, - 0.030674803176636581, -0.999529417501093140, 0.030483145248477058, - -0.999535280945980540, - 0.030291486199539423, -0.999541107640812940, 0.030099826036870208, - -0.999546897585375960, - 0.029908164767516655, -0.999552650779456990, 0.029716502398525156, - -0.999558367222844300, - 0.029524838936943035, -0.999564046915327740, 0.029333174389816984, - -0.999569689856698580, - 0.029141508764193740, -0.999575296046749220, 0.028949842067120746, - -0.999580865485273700, - 0.028758174305644590, -0.999586398172067070, 0.028566505486812797, - -0.999591894106925950, - 0.028374835617672258, -0.999597353289648380, 0.028183164705269902, - -0.999602775720033530, - 0.027991492756653365, -0.999608161397882110, 0.027799819778869434, - -0.999613510322995950, - 0.027608145778965820, -0.999618822495178640, 0.027416470763989606, - -0.999624097914234570, - 0.027224794740987910, -0.999629336579970110, 0.027033117717008563, - -0.999634538492192300, - 0.026841439699098527, -0.999639703650710200, 0.026649760694305708, - -0.999644832055333610, - 0.026458080709677145, -0.999649923705874240, 0.026266399752260809, - -0.999654978602144690, - 0.026074717829104040, -0.999659996743959220, 0.025883034947254208, - -0.999664978131133310, - 0.025691351113759395, -0.999669922763483760, 0.025499666335666818, - -0.999674830640828740, - 0.025307980620024630, -0.999679701762987930, 0.025116293973880335, - -0.999684536129782140, - 0.024924606404281485, -0.999689333741033640, 0.024732917918276334, - -0.999694094596566000, - 0.024541228522912264, -0.999698818696204250, 0.024349538225237600, - -0.999703506039774650, - 0.024157847032300020, -0.999708156627104880, 0.023966154951147241, - -0.999712770458023870, - 0.023774461988827676, -0.999717347532362190, 0.023582768152388880, - -0.999721887849951310, - 0.023391073448879338, -0.999726391410624470, 0.023199377885346890, - -0.999730858214216030, - 0.023007681468839410, -0.999735288260561680, 0.022815984206405477, - -0.999739681549498660, - 0.022624286105092803, -0.999744038080865430, 0.022432587171950024, - -0.999748357854501780, - 0.022240887414024919, -0.999752640870248840, 0.022049186838366180, - -0.999756887127949080, - 0.021857485452021874, -0.999761096627446610, 0.021665783262040089, - -0.999765269368586450, - 0.021474080275469605, -0.999769405351215280, 0.021282376499358355, - -0.999773504575180990, - 0.021090671940755180, -0.999777567040332940, 0.020898966606708289, - -0.999781592746521670, - 0.020707260504265912, -0.999785581693599210, 0.020515553640476986, - -0.999789533881418780, - 0.020323846022389572, -0.999793449309835270, 0.020132137657052664, - -0.999797327978704690, - 0.019940428551514598, -0.999801169887884260, 0.019748718712823757, - -0.999804975037232870, - 0.019557008148029204, -0.999808743426610520, 0.019365296864179146, - -0.999812475055878780, - 0.019173584868322699, -0.999816169924900410, 0.018981872167508348, - -0.999819828033539420, - 0.018790158768784596, -0.999823449381661570, 0.018598444679200642, - -0.999827033969133420, - 0.018406729905804820, -0.999830581795823400, 0.018215014455646376, - -0.999834092861600960, - 0.018023298335773701, -0.999837567166337090, 0.017831581553236088, - -0.999841004709904000, - 0.017639864115082195, -0.999844405492175240, 0.017448146028360704, - -0.999847769513025900, - 0.017256427300120978, -0.999851096772332190, 0.017064707937411529, - -0.999854387269971890, - 0.016872987947281773, -0.999857641005823860, 0.016681267336780482, - -0.999860857979768540, - 0.016489546112956454, -0.999864038191687680, 0.016297824282859176, - -0.999867181641464380, - 0.016106101853537263, -0.999870288328982950, 0.015914378832040249, - -0.999873358254129260, - 0.015722655225417017, -0.999876391416790410, 0.015530931040716478, - -0.999879387816854930, - 0.015339206284988220, -0.999882347454212560, 0.015147480965280975, - -0.999885270328754520, - 0.014955755088644378, -0.999888156440373320, 0.014764028662127416, - -0.999891005788962950, - 0.014572301692779104, -0.999893818374418490, 0.014380574187649138, - -0.999896594196636680, - 0.014188846153786343, -0.999899333255515390, 0.013997117598240459, - -0.999902035550953920, - 0.013805388528060349, -0.999904701082852900, 0.013613658950295789, - -0.999907329851114300, - 0.013421928871995907, -0.999909921855641540, 0.013230198300209845, - -0.999912477096339240, - 0.013038467241987433, -0.999914995573113470, 0.012846735704377631, - -0.999917477285871770, - 0.012655003694430301, -0.999919922234522750, 0.012463271219194662, - -0.999922330418976490, - 0.012271538285719944, -0.999924701839144500, 0.012079804901056066, - -0.999927036494939640, - 0.011888071072252072, -0.999929334386276070, 0.011696336806357907, - -0.999931595513069200, - 0.011504602110422875, -0.999933819875236000, 0.011312866991496287, - -0.999936007472694620, - 0.011121131456628141, -0.999938158305364590, 0.010929395512867561, - -0.999940272373166960, - 0.010737659167264572, -0.999942349676023910, 0.010545922426868548, - -0.999944390213859060, - 0.010354185298728884, -0.999946393986597460, 0.010162447789895645, - -0.999948360994165400, - 0.009970709907418029, -0.999950291236490480, 0.009778971658346134, - -0.999952184713501780, - 0.009587233049729183, -0.999954041425129780, 0.009395494088617302, - -0.999955861371306100, - 0.009203754782059960, -0.999957644551963900, 0.009012015137106642, - -0.999959390967037450, - 0.008820275160807512, -0.999961100616462820, 0.008628534860211857, - -0.999962773500176930, - 0.008436794242369860, -0.999964409618118280, 0.008245053314331058, - -0.999966008970226920, - 0.008053312083144991, -0.999967571556443780, 0.007861570555861883, - -0.999969097376711580, - 0.007669828739531077, -0.999970586430974140, 0.007478086641202815, - -0.999972038719176730, - 0.007286344267926684, -0.999973454241265940, 0.007094601626752279, - -0.999974832997189810, - 0.006902858724729877, -0.999976174986897610, 0.006711115568908869, - -0.999977480210339940, - 0.006519372166339549, -0.999978748667468830, 0.006327628524071549, - -0.999979980358237650, - 0.006135884649154515, -0.999981175282601110, 0.005944140548638765, - -0.999982333440515350, - 0.005752396229573737, -0.999983454831937730, 0.005560651699009764, - -0.999984539456826970, - 0.005368906963996303, -0.999985587315143200, 0.005177162031583702, - -0.999986598406848000, - 0.004985416908821652, -0.999987572731904080, 0.004793671602759852, - -0.999988510290275690, - 0.004601926120448672, -0.999989411081928400, 0.004410180468937601, - -0.999990275106828920, - 0.004218434655277024, -0.999991102364945590, 0.004026688686516664, - -0.999991892856248010, - 0.003834942569706248, -0.999992646580707190, 0.003643196311896179, - -0.999993363538295150, - 0.003451449920135975, -0.999994043728985820, 0.003259703401476044, - -0.999994687152754080, - 0.003067956762966138, -0.999995293809576190, 0.002876210011656010, - -0.999995863699429940, - 0.002684463154596083, -0.999996396822294350, 0.002492716198835898, - -0.999996893178149880, - 0.002300969151425887, -0.999997352766978210, 0.002109222019415816, - -0.999997775588762350, - 0.001917474809855460, -0.999998161643486980, 0.001725727529795258, - -0.999998510931137790, - 0.001533980186284766, -0.999998823451701880, 0.001342232786374430, - -0.999999099205167830, - 0.001150485337113809, -0.999999338191525530, 0.000958737845553352, - -0.999999540410766110, - 0.000766990318742846, -0.999999705862882230, 0.000575242763732077, - -0.999999834547867670, - 0.000383495187571497, -0.999999926465717890, 0.000191747597310674, - -0.999999981616429330, - -}; - -/** -* \par -* cosFactor tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre> -* \par -* C command to generate the table -* \par -* <pre> for(i = 0; i< N; i++) -* { -* cos_factors[i]= 2 * cos((2*i+1)*c/2); -* } </pre> -* \par -* where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code> -*/ -static const float32_t cos_factors_128[128] = { - 0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f, - 0.999077727752645360f, - 0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f, - 0.995767414467659820f, - 0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f, - 0.990058210262297120f, - 0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f, - 0.981963869109555240f, - 0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f, - 0.971503890986251780f, - 0.968522094274417380f, 0.965394441697689400f, 0.962121404269041580f, - 0.958703474895871600f, - 0.955141168305770780f, 0.951435020969008340f, 0.947585591017741090f, - 0.943593458161960390f, - 0.939459223602189920f, 0.935183509938947610f, 0.930766961078983710f, - 0.926210242138311380f, - 0.921514039342042010f, 0.916679059921042700f, 0.911706032005429880f, - 0.906595704514915330f, - 0.901348847046022030f, 0.895966249756185220f, 0.890448723244757880f, - 0.884797098430937790f, - 0.879012226428633530f, 0.873094978418290090f, 0.867046245515692650f, - 0.860866938637767310f, - 0.854557988365400530f, 0.848120344803297230f, 0.841554977436898440f, - 0.834862874986380010f, - 0.828045045257755800f, 0.821102514991104650f, 0.814036329705948410f, - 0.806847553543799330f, - 0.799537269107905010f, 0.792106577300212390f, 0.784556597155575240f, - 0.776888465673232440f, - 0.769103337645579700f, 0.761202385484261780f, 0.753186799043612520f, - 0.745057785441466060f, - 0.736816568877369900f, 0.728464390448225200f, 0.720002507961381650f, - 0.711432195745216430f, - 0.702754744457225300f, 0.693971460889654000f, 0.685083667772700360f, - 0.676092703575316030f, - 0.666999922303637470f, 0.657806693297078640f, 0.648514401022112550f, - 0.639124444863775730f, - 0.629638238914927100f, 0.620057211763289210f, 0.610382806276309480f, - 0.600616479383868970f, - 0.590759701858874280f, 0.580813958095764530f, 0.570780745886967370f, - 0.560661576197336030f, - 0.550457972936604810f, 0.540171472729892970f, 0.529803624686294830f, - 0.519355990165589530f, - 0.508830142543106990f, 0.498227666972781870f, 0.487550160148436050f, - 0.476799230063322250f, - 0.465976495767966130f, 0.455083587126343840f, 0.444122144570429260f, - 0.433093818853152010f, - 0.422000270799799790f, 0.410843171057903910f, 0.399624199845646790f, - 0.388345046698826300f, - 0.377007410216418310f, 0.365612997804773960f, 0.354163525420490510f, - 0.342660717311994380f, - 0.331106305759876430f, 0.319502030816015750f, 0.307849640041534980f, - 0.296150888243623960f, - 0.284407537211271820f, 0.272621355449948980f, 0.260794117915275570f, - 0.248927605745720260f, - 0.237023605994367340f, 0.225083911359792780f, 0.213110319916091360f, - 0.201104634842091960f, - 0.189068664149806280f, 0.177004220412148860f, 0.164913120489970090f, - 0.152797185258443410f, - 0.140658239332849240f, 0.128498110793793220f, 0.116318630911904880f, - 0.104121633872054730f, - 0.091908956497132696f, 0.079682437971430126f, 0.067443919563664106f, - 0.055195244349690031f, - 0.042938256934940959f, 0.030674803176636581f, 0.018406729905804820f, - 0.006135884649154515f -}; - -static const float32_t cos_factors_512[512] = { - 0.999998823451701880f, 0.999989411081928400f, 0.999970586430974140f, - 0.999942349676023910f, - 0.999904701082852900f, 0.999857641005823860f, 0.999801169887884260f, - 0.999735288260561680f, - 0.999659996743959220f, 0.999575296046749220f, 0.999481186966166950f, - 0.999377670388002850f, - 0.999264747286594420f, 0.999142418724816910f, 0.999010685854073380f, - 0.998869549914283560f, - 0.998719012233872940f, 0.998559074229759310f, 0.998389737407340160f, - 0.998211003360478190f, - 0.998022873771486240f, 0.997825350411111640f, 0.997618435138519550f, - 0.997402129901275300f, - 0.997176436735326190f, 0.996941357764982160f, 0.996696895202896060f, - 0.996443051350042630f, - 0.996179828595696980f, 0.995907229417411720f, 0.995625256380994310f, - 0.995333912140482280f, - 0.995033199438118630f, 0.994723121104325700f, 0.994403680057679100f, - 0.994074879304879370f, - 0.993736721940724600f, 0.993389211148080650f, 0.993032350197851410f, - 0.992666142448948020f, - 0.992290591348257370f, 0.991905700430609330f, 0.991511473318743900f, - 0.991107913723276890f, - 0.990695025442664630f, 0.990272812363169110f, 0.989841278458820530f, - 0.989400427791380380f, - 0.988950264510302990f, 0.988490792852696590f, 0.988022017143283530f, - 0.987543941794359230f, - 0.987056571305750970f, 0.986559910264775410f, 0.986053963346195440f, - 0.985538735312176060f, - 0.985014231012239840f, 0.984480455383220930f, 0.983937413449218920f, - 0.983385110321551180f, - 0.982823551198705240f, 0.982252741366289370f, 0.981672686196983110f, - 0.981083391150486710f, - 0.980484861773469380f, 0.979877103699517640f, 0.979260122649082020f, - 0.978633924429423210f, - 0.977998514934557140f, 0.977353900145199960f, 0.976700086128711840f, - 0.976037079039039020f, - 0.975364885116656980f, 0.974683510688510670f, 0.973992962167955830f, - 0.973293246054698250f, - 0.972584368934732210f, 0.971866337480279400f, 0.971139158449725090f, - 0.970402838687555500f, - 0.969657385124292450f, 0.968902804776428870f, 0.968139104746362440f, - 0.967366292222328510f, - 0.966584374478333120f, 0.965793358874083680f, 0.964993252854920320f, - 0.964184063951745830f, - 0.963365799780954050f, 0.962538468044359160f, 0.961702076529122540f, - 0.960856633107679660f, - 0.960002145737665960f, 0.959138622461841890f, 0.958266071408017670f, - 0.957384500788975860f, - 0.956493918902395100f, 0.955594334130771110f, 0.954685754941338340f, - 0.953768189885990330f, - 0.952841647601198720f, 0.951906136807932350f, 0.950961666311575080f, - 0.950008245001843000f, - 0.949045881852700560f, 0.948074585922276230f, 0.947094366352777220f, - 0.946105232370403450f, - 0.945107193285260610f, 0.944100258491272660f, 0.943084437466093490f, - 0.942059739771017310f, - 0.941026175050889260f, 0.939983753034014050f, 0.938932483532064600f, - 0.937872376439989890f, - 0.936803441735921560f, 0.935725689481080370f, 0.934639129819680780f, - 0.933543772978836170f, - 0.932439629268462360f, 0.931326709081180430f, 0.930205022892219070f, - 0.929074581259315860f, - 0.927935394822617890f, 0.926787474304581750f, 0.925630830509872720f, - 0.924465474325262600f, - 0.923291416719527640f, 0.922108668743345180f, 0.920917241529189520f, - 0.919717146291227360f, - 0.918508394325212250f, 0.917290997008377910f, 0.916064965799331720f, - 0.914830312237946200f, - 0.913587047945250810f, 0.912335184623322750f, 0.911074734055176360f, - 0.909805708104652220f, - 0.908528118716306120f, 0.907241977915295820f, 0.905947297807268460f, - 0.904644090578246240f, - 0.903332368494511820f, 0.902012143902493180f, 0.900683429228646970f, - 0.899346236979341570f, - 0.898000579740739880f, 0.896646470178680150f, 0.895283921038557580f, - 0.893912945145203250f, - 0.892533555402764580f, 0.891145764794583180f, 0.889749586383072780f, - 0.888345033309596350f, - 0.886932118794342190f, 0.885510856136199950f, 0.884081258712634990f, - 0.882643339979562790f, - 0.881197113471222090f, 0.879742592800047410f, 0.878279791656541580f, - 0.876808723809145650f, - 0.875329403104110890f, 0.873841843465366860f, 0.872346058894391540f, - 0.870842063470078980f, - 0.869329871348606840f, 0.867809496763303320f, 0.866280954024512990f, - 0.864744257519462380f, - 0.863199421712124160f, 0.861646461143081300f, 0.860085390429390140f, - 0.858516224264442740f, - 0.856938977417828760f, 0.855353664735196030f, 0.853760301138111410f, - 0.852158901623919830f, - 0.850549481265603480f, 0.848932055211639610f, 0.847306638685858320f, - 0.845673246987299070f, - 0.844031895490066410f, 0.842382599643185850f, 0.840725374970458070f, - 0.839060237070312740f, - 0.837387201615661940f, 0.835706284353752600f, 0.834017501106018130f, - 0.832320867767929680f, - 0.830616400308846310f, 0.828904114771864870f, 0.827184027273669130f, - 0.825456154004377550f, - 0.823720511227391430f, 0.821977115279241550f, 0.820225982569434690f, - 0.818467129580298660f, - 0.816700572866827850f, 0.814926329056526620f, 0.813144414849253590f, - 0.811354847017063730f, - 0.809557642404051260f, 0.807752817926190360f, 0.805940390571176280f, - 0.804120377398265810f, - 0.802292795538115720f, 0.800457662192622820f, 0.798614994634760820f, - 0.796764810208418830f, - 0.794907126328237010f, 0.793041960479443640f, 0.791169330217690200f, - 0.789289253168885650f, - 0.787401747029031430f, 0.785506829564053930f, 0.783604518609638200f, - 0.781694832071059390f, - 0.779777787923014550f, 0.777853404209453150f, 0.775921699043407690f, - 0.773982690606822900f, - 0.772036397150384520f, 0.770082836993347900f, 0.768122028523365420f, - 0.766153990196312920f, - 0.764178740536116670f, 0.762196298134578900f, 0.760206681651202420f, - 0.758209909813015280f, - 0.756206001414394540f, 0.754194975316889170f, 0.752176850449042810f, - 0.750151645806215070f, - 0.748119380450403600f, 0.746080073510063780f, 0.744033744179929290f, - 0.741980411720831070f, - 0.739920095459516200f, 0.737852814788465980f, 0.735778589165713590f, - 0.733697438114660370f, - 0.731609381223892630f, 0.729514438146997010f, 0.727412628602375770f, - 0.725303972373060770f, - 0.723188489306527460f, 0.721066199314508110f, 0.718937122372804490f, - 0.716801278521099540f, - 0.714658687862769090f, 0.712509370564692320f, 0.710353346857062420f, - 0.708190637033195400f, - 0.706021261449339740f, 0.703845240524484940f, 0.701662594740168570f, - 0.699473344640283770f, - 0.697277510830886630f, 0.695075113980000880f, 0.692866174817424740f, - 0.690650714134534720f, - 0.688428752784090550f, 0.686200311680038700f, 0.683965411797315510f, - 0.681724074171649820f, - 0.679476319899365080f, 0.677222170137180450f, 0.674961646102012040f, - 0.672694769070772970f, - 0.670421560380173090f, 0.668142041426518560f, 0.665856233665509720f, - 0.663564158612039880f, - 0.661265837839992270f, 0.658961292982037320f, 0.656650545729429050f, - 0.654333617831800550f, - 0.652010531096959500f, 0.649681307390683190f, 0.647345968636512060f, - 0.645004536815544040f, - 0.642657033966226860f, 0.640303482184151670f, 0.637943903621844170f, - 0.635578320488556230f, - 0.633206755050057190f, 0.630829229628424470f, 0.628445766601832710f, - 0.626056388404343520f, - 0.623661117525694640f, 0.621259976511087660f, 0.618852987960976320f, - 0.616440174530853650f, - 0.614021558931038490f, 0.611597163926462020f, 0.609167012336453210f, - 0.606731127034524480f, - 0.604289530948156070f, 0.601842247058580030f, 0.599389298400564540f, - 0.596930708062196500f, - 0.594466499184664540f, 0.591996694962040990f, 0.589521318641063940f, - 0.587040393520918080f, - 0.584553942953015330f, 0.582061990340775550f, 0.579564559139405740f, - 0.577061672855679550f, - 0.574553355047715760f, 0.572039629324757050f, 0.569520519346947250f, - 0.566996048825108680f, - 0.564466241520519500f, 0.561931121244689470f, 0.559390711859136140f, - 0.556845037275160100f, - 0.554294121453620110f, 0.551737988404707450f, 0.549176662187719770f, - 0.546610166910834860f, - 0.544038526730883930f, 0.541461765853123560f, 0.538879908531008420f, - 0.536292979065963180f, - 0.533701001807152960f, 0.531104001151255000f, 0.528502001542228480f, - 0.525895027471084740f, - 0.523283103475656430f, 0.520666254140367270f, 0.518044504095999340f, - 0.515417878019463150f, - 0.512786400633563070f, 0.510150096706766700f, 0.507508991052970870f, - 0.504863108531267480f, - 0.502212474045710900f, 0.499557112545081890f, 0.496897049022654640f, - 0.494232308515959730f, - 0.491562916106550060f, 0.488888896919763230f, 0.486210276124486530f, - 0.483527078932918740f, - 0.480839330600333900f, 0.478147056424843120f, 0.475450281747155870f, - 0.472749031950342900f, - 0.470043332459595620f, 0.467333208741988530f, 0.464618686306237820f, - 0.461899790702462840f, - 0.459176547521944150f, 0.456448982396883860f, 0.453717121000163930f, - 0.450980989045103810f, - 0.448240612285220000f, 0.445496016513981740f, 0.442747227564570130f, - 0.439994271309633260f, - 0.437237173661044200f, 0.434475960569655710f, 0.431710658025057370f, - 0.428941292055329550f, - 0.426167888726799620f, 0.423390474143796100f, 0.420609074448402510f, - 0.417823715820212380f, - 0.415034424476081630f, 0.412241226669883000f, 0.409444148692257590f, - 0.406643216870369140f, - 0.403838457567654130f, 0.401029897183575790f, 0.398217562153373620f, - 0.395401478947816300f, - 0.392581674072951530f, 0.389758174069856410f, 0.386931005514388690f, - 0.384100195016935040f, - 0.381265769222162490f, 0.378427754808765620f, 0.375586178489217330f, - 0.372741067009515810f, - 0.369892447148934270f, 0.367040345719767240f, 0.364184789567079840f, - 0.361325805568454340f, - 0.358463420633736540f, 0.355597661704783960f, 0.352728555755210730f, - 0.349856129790135030f, - 0.346980410845923680f, 0.344101425989938980f, 0.341219202320282410f, - 0.338333766965541290f, - 0.335445147084531660f, 0.332553369866044220f, 0.329658462528587550f, - 0.326760452320131790f, - 0.323859366517852960f, 0.320955232427875210f, 0.318048077385015060f, - 0.315137928752522440f, - 0.312224813921825050f, 0.309308760312268780f, 0.306389795370861080f, - 0.303467946572011370f, - 0.300543241417273400f, 0.297615707435086310f, 0.294685372180514330f, - 0.291752263234989370f, - 0.288816408206049480f, 0.285877834727080730f, 0.282936570457055390f, - 0.279992643080273380f, - 0.277046080306099950f, 0.274096909868706330f, 0.271145159526808070f, - 0.268190857063403180f, - 0.265234030285511900f, 0.262274707023913590f, 0.259312915132886350f, - 0.256348682489942910f, - 0.253382036995570270f, 0.250413006572965280f, 0.247441619167773440f, - 0.244467902747824210f, - 0.241491885302869300f, 0.238513594844318500f, 0.235533059404975460f, - 0.232550307038775330f, - 0.229565365820518870f, 0.226578263845610110f, 0.223589029229790020f, - 0.220597690108873650f, - 0.217604274638483670f, 0.214608810993786920f, 0.211611327369227610f, - 0.208611851978263460f, - 0.205610413053099320f, 0.202607038844421110f, 0.199601757621131050f, - 0.196594597670080220f, - 0.193585587295803750f, 0.190574754820252800f, 0.187562128582529740f, - 0.184547736938619640f, - 0.181531608261125130f, 0.178513770938997590f, 0.175494253377271400f, - 0.172473083996796030f, - 0.169450291233967930f, 0.166425903540464220f, 0.163399949382973230f, - 0.160372457242928400f, - 0.157343455616238280f, 0.154312973013020240f, 0.151281037957330250f, - 0.148247678986896200f, - 0.145212924652847520f, 0.142176803519448000f, 0.139139344163826280f, - 0.136100575175706200f, - 0.133060525157139180f, 0.130019222722233350f, 0.126976696496885980f, - 0.123932975118512200f, - 0.120888087235777220f, 0.117842061508325020f, 0.114794926606510250f, - 0.111746711211126660f, - 0.108697444013138670f, 0.105647153713410700f, 0.102595869022436280f, - 0.099543618660069444f, - 0.096490431355252607f, 0.093436335845747912f, 0.090381360877865011f, - 0.087325535206192226f, - 0.084268887593324127f, 0.081211446809592386f, 0.078153241632794315f, - 0.075094300847921291f, - 0.072034653246889416f, 0.068974327628266732f, 0.065913352797003930f, - 0.062851757564161420f, - 0.059789570746640007f, 0.056726821166907783f, 0.053663537652730679f, - 0.050599749036899337f, - 0.047535484156959261f, 0.044470771854938744f, 0.041405640977076712f, - 0.038340120373552791f, - 0.035274238898213947f, 0.032208025408304704f, 0.029141508764193740f, - 0.026074717829104040f, - 0.023007681468839410f, 0.019940428551514598f, 0.016872987947281773f, - 0.013805388528060349f, - 0.010737659167264572f, 0.007669828739531077f, 0.004601926120448672f, - 0.001533980186284766f -}; - -static const float32_t cos_factors_2048[2048] = { - 0.999999926465717890f, 0.999999338191525530f, 0.999998161643486980f, - 0.999996396822294350f, - 0.999994043728985820f, 0.999991102364945590f, 0.999987572731904080f, - 0.999983454831937730f, - 0.999978748667468830f, 0.999973454241265940f, 0.999967571556443780f, - 0.999961100616462820f, - 0.999954041425129780f, 0.999946393986597460f, 0.999938158305364590f, - 0.999929334386276070f, - 0.999919922234522750f, 0.999909921855641540f, 0.999899333255515390f, - 0.999888156440373320f, - 0.999876391416790410f, 0.999864038191687680f, 0.999851096772332190f, - 0.999837567166337090f, - 0.999823449381661570f, 0.999808743426610520f, 0.999793449309835270f, - 0.999777567040332940f, - 0.999761096627446610f, 0.999744038080865430f, 0.999726391410624470f, - 0.999708156627104880f, - 0.999689333741033640f, 0.999669922763483760f, 0.999649923705874240f, - 0.999629336579970110f, - 0.999608161397882110f, 0.999586398172067070f, 0.999564046915327740f, - 0.999541107640812940f, - 0.999517580362016990f, 0.999493465092780590f, 0.999468761847290050f, - 0.999443470640077770f, - 0.999417591486021720f, 0.999391124400346050f, 0.999364069398620550f, - 0.999336426496761240f, - 0.999308195711029470f, 0.999279377058032710f, 0.999249970554724420f, - 0.999219976218403530f, - 0.999189394066714920f, 0.999158224117649430f, 0.999126466389543390f, - 0.999094120901079070f, - 0.999061187671284600f, 0.999027666719533690f, 0.998993558065545680f, - 0.998958861729386080f, - 0.998923577731465780f, 0.998887706092541290f, 0.998851246833715180f, - 0.998814199976435390f, - 0.998776565542495610f, 0.998738343554035230f, 0.998699534033539280f, - 0.998660137003838490f, - 0.998620152488108870f, 0.998579580509872500f, 0.998538421092996730f, - 0.998496674261694640f, - 0.998454340040524800f, 0.998411418454391300f, 0.998367909528543820f, - 0.998323813288577560f, - 0.998279129760433200f, 0.998233858970396850f, 0.998188000945100300f, - 0.998141555711520520f, - 0.998094523296980010f, 0.998046903729146840f, 0.997998697036034390f, - 0.997949903246001190f, - 0.997900522387751620f, 0.997850554490335110f, 0.997799999583146470f, - 0.997748857695925690f, - 0.997697128858758500f, 0.997644813102075420f, 0.997591910456652630f, - 0.997538420953611340f, - 0.997484344624417930f, 0.997429681500884180f, 0.997374431615167150f, - 0.997318594999768600f, - 0.997262171687536170f, 0.997205161711661850f, 0.997147565105683480f, - 0.997089381903483400f, - 0.997030612139289450f, 0.996971255847674320f, 0.996911313063555740f, - 0.996850783822196610f, - 0.996789668159204560f, 0.996727966110532490f, 0.996665677712478160f, - 0.996602803001684130f, - 0.996539342015137940f, 0.996475294790172160f, 0.996410661364464100f, - 0.996345441776035900f, - 0.996279636063254650f, 0.996213244264832040f, 0.996146266419824620f, - 0.996078702567633980f, - 0.996010552748005870f, 0.995941817001031350f, 0.995872495367145730f, - 0.995802587887129160f, - 0.995732094602106430f, 0.995661015553546910f, 0.995589350783264600f, - 0.995517100333418110f, - 0.995444264246510340f, 0.995370842565388990f, 0.995296835333246090f, - 0.995222242593618360f, - 0.995147064390386470f, 0.995071300767776170f, 0.994994951770357020f, - 0.994918017443043200f, - 0.994840497831093180f, 0.994762392980109930f, 0.994683702936040250f, - 0.994604427745175660f, - 0.994524567454151740f, 0.994444122109948040f, 0.994363091759888570f, - 0.994281476451641550f, - 0.994199276233218910f, 0.994116491152977070f, 0.994033121259616400f, - 0.993949166602181130f, - 0.993864627230059750f, 0.993779503192984580f, 0.993693794541031790f, - 0.993607501324621610f, - 0.993520623594518090f, 0.993433161401829360f, 0.993345114798006910f, - 0.993256483834846440f, - 0.993167268564487230f, 0.993077469039412300f, 0.992987085312448390f, - 0.992896117436765980f, - 0.992804565465879140f, 0.992712429453645460f, 0.992619709454266140f, - 0.992526405522286100f, - 0.992432517712593660f, 0.992338046080420420f, 0.992242990681341700f, - 0.992147351571276090f, - 0.992051128806485720f, 0.991954322443575950f, 0.991856932539495470f, - 0.991758959151536110f, - 0.991660402337333210f, 0.991561262154865290f, 0.991461538662453790f, - 0.991361231918763460f, - 0.991260341982802440f, 0.991158868913921350f, 0.991056812771814340f, - 0.990954173616518500f, - 0.990850951508413620f, 0.990747146508222710f, 0.990642758677011570f, - 0.990537788076188750f, - 0.990432234767505970f, 0.990326098813057330f, 0.990219380275280000f, - 0.990112079216953770f, - 0.990004195701200910f, 0.989895729791486660f, 0.989786681551618640f, - 0.989677051045747210f, - 0.989566838338365120f, 0.989456043494307710f, 0.989344666578752640f, - 0.989232707657220050f, - 0.989120166795572690f, 0.989007044060015270f, 0.988893339517095130f, - 0.988779053233701520f, - 0.988664185277066230f, 0.988548735714763200f, 0.988432704614708340f, - 0.988316092045159690f, - 0.988198898074717610f, 0.988081122772324070f, 0.987962766207263420f, - 0.987843828449161740f, - 0.987724309567986960f, 0.987604209634049160f, 0.987483528717999710f, - 0.987362266890832400f, - 0.987240424223882250f, 0.987118000788826280f, 0.986994996657682980f, - 0.986871411902812470f, - 0.986747246596916590f, 0.986622500813038480f, 0.986497174624562880f, - 0.986371268105216030f, - 0.986244781329065460f, 0.986117714370520090f, 0.985990067304330140f, - 0.985861840205586980f, - 0.985733033149723490f, 0.985603646212513400f, 0.985473679470071810f, - 0.985343132998854790f, - 0.985212006875659350f, 0.985080301177623800f, 0.984948015982227030f, - 0.984815151367289140f, - 0.984681707410970940f, 0.984547684191773960f, 0.984413081788540700f, - 0.984277900280454370f, - 0.984142139747038570f, 0.984005800268157870f, 0.983868881924017220f, - 0.983731384795162090f, - 0.983593308962478650f, 0.983454654507193270f, 0.983315421510872810f, - 0.983175610055424420f, - 0.983035220223095640f, 0.982894252096474070f, 0.982752705758487830f, - 0.982610581292404750f, - 0.982467878781833170f, 0.982324598310721280f, 0.982180739963357090f, - 0.982036303824369020f, - 0.981891289978725100f, 0.981745698511732990f, 0.981599529509040720f, - 0.981452783056635520f, - 0.981305459240844670f, 0.981157558148334830f, 0.981009079866112630f, - 0.980860024481523870f, - 0.980710392082253970f, 0.980560182756327840f, 0.980409396592109910f, - 0.980258033678303550f, - 0.980106094103951770f, 0.979953577958436740f, 0.979800485331479790f, - 0.979646816313141210f, - 0.979492570993820810f, 0.979337749464256780f, 0.979182351815526930f, - 0.979026378139047580f, - 0.978869828526574120f, 0.978712703070200420f, 0.978555001862359550f, - 0.978396724995823090f, - 0.978237872563701090f, 0.978078444659442380f, 0.977918441376834370f, - 0.977757862810002760f, - 0.977596709053411890f, 0.977434980201864260f, 0.977272676350500860f, - 0.977109797594800880f, - 0.976946344030581670f, 0.976782315753998650f, 0.976617712861545640f, - 0.976452535450054060f, - 0.976286783616693630f, 0.976120457458971910f, 0.975953557074734300f, - 0.975786082562163930f, - 0.975618034019781750f, 0.975449411546446380f, 0.975280215241354220f, - 0.975110445204038890f, - 0.974940101534371830f, 0.974769184332561770f, 0.974597693699155050f, - 0.974425629735034990f, - 0.974252992541422500f, 0.974079782219875680f, 0.973905998872289570f, - 0.973731642600896400f, - 0.973556713508265560f, 0.973381211697303290f, 0.973205137271252800f, - 0.973028490333694210f, - 0.972851270988544180f, 0.972673479340056430f, 0.972495115492821190f, - 0.972316179551765300f, - 0.972136671622152230f, 0.971956591809581720f, 0.971775940219990140f, - 0.971594716959650160f, - 0.971412922135170940f, 0.971230555853497380f, 0.971047618221911100f, - 0.970864109348029470f, - 0.970680029339806130f, 0.970495378305530560f, 0.970310156353828110f, - 0.970124363593660280f, - 0.969938000134323960f, 0.969751066085452140f, 0.969563561557013180f, - 0.969375486659311280f, - 0.969186841502985950f, 0.968997626199012420f, 0.968807840858700970f, - 0.968617485593697540f, - 0.968426560515983190f, 0.968235065737874320f, 0.968043001372022260f, - 0.967850367531413620f, - 0.967657164329369880f, 0.967463391879547550f, 0.967269050295937790f, - 0.967074139692867040f, - 0.966878660184995910f, 0.966682611887320080f, 0.966485994915169840f, - 0.966288809384209690f, - 0.966091055410438830f, 0.965892733110190860f, 0.965693842600133690f, - 0.965494383997269500f, - 0.965294357418934660f, 0.965093762982799590f, 0.964892600806868890f, - 0.964690871009481030f, - 0.964488573709308410f, 0.964285709025357480f, 0.964082277076968140f, - 0.963878277983814200f, - 0.963673711865903230f, 0.963468578843575950f, 0.963262879037507070f, - 0.963056612568704340f, - 0.962849779558509030f, 0.962642380128595710f, 0.962434414400972100f, - 0.962225882497979020f, - 0.962016784542290560f, 0.961807120656913540f, 0.961596890965187860f, - 0.961386095590786250f, - 0.961174734657714080f, 0.960962808290309780f, 0.960750316613243950f, - 0.960537259751520050f, - 0.960323637830473920f, 0.960109450975773940f, 0.959894699313420530f, - 0.959679382969746750f, - 0.959463502071417510f, 0.959247056745430090f, 0.959030047119113660f, - 0.958812473320129310f, - 0.958594335476470220f, 0.958375633716461170f, 0.958156368168758820f, - 0.957936538962351420f, - 0.957716146226558870f, 0.957495190091032570f, 0.957273670685755200f, - 0.957051588141040970f, - 0.956828942587535370f, 0.956605734156215080f, 0.956381962978387730f, - 0.956157629185692140f, - 0.955932732910098280f, 0.955707274283906560f, 0.955481253439748770f, - 0.955254670510586990f, - 0.955027525629714160f, 0.954799818930753720f, 0.954571550547659630f, - 0.954342720614716480f, - 0.954113329266538800f, 0.953883376638071770f, 0.953652862864590500f, - 0.953421788081700310f, - 0.953190152425336670f, 0.952957956031764700f, 0.952725199037579570f, - 0.952491881579706320f, - 0.952258003795399600f, 0.952023565822243570f, 0.951788567798152130f, - 0.951553009861368590f, - 0.951316892150465550f, 0.951080214804345010f, 0.950842977962238160f, - 0.950605181763705340f, - 0.950366826348635780f, 0.950127911857248100f, 0.949888438430089300f, - 0.949648406208035480f, - 0.949407815332291570f, 0.949166665944390700f, 0.948924958186195160f, - 0.948682692199895090f, - 0.948439868128009620f, 0.948196486113385580f, 0.947952546299198670f, - 0.947708048828952100f, - 0.947462993846477700f, 0.947217381495934820f, 0.946971211921810880f, - 0.946724485268921170f, - 0.946477201682408680f, 0.946229361307743820f, 0.945980964290724760f, - 0.945732010777477150f, - 0.945482500914453740f, 0.945232434848435000f, 0.944981812726528150f, - 0.944730634696167800f, - 0.944478900905115550f, 0.944226611501459810f, 0.943973766633615980f, - 0.943720366450326200f, - 0.943466411100659320f, 0.943211900734010620f, 0.942956835500102120f, - 0.942701215548981900f, - 0.942445041031024890f, 0.942188312096931770f, 0.941931028897729620f, - 0.941673191584771360f, - 0.941414800309736340f, 0.941155855224629190f, 0.940896356481780830f, - 0.940636304233847590f, - 0.940375698633811540f, 0.940114539834980280f, 0.939852827990986680f, - 0.939590563255789270f, - 0.939327745783671400f, 0.939064375729241950f, 0.938800453247434770f, - 0.938535978493508560f, - 0.938270951623047190f, 0.938005372791958840f, 0.937739242156476970f, - 0.937472559873159250f, - 0.937205326098887960f, 0.936937540990869900f, 0.936669204706636170f, - 0.936400317404042060f, - 0.936130879241267030f, 0.935860890376814640f, 0.935590350969512370f, - 0.935319261178511610f, - 0.935047621163287430f, 0.934775431083638700f, 0.934502691099687870f, - 0.934229401371880820f, - 0.933955562060986730f, 0.933681173328098410f, 0.933406235334631520f, - 0.933130748242325230f, - 0.932854712213241120f, 0.932578127409764420f, 0.932300993994602760f, - 0.932023312130786490f, - 0.931745081981668720f, 0.931466303710925090f, 0.931186977482553750f, - 0.930907103460875130f, - 0.930626681810531760f, 0.930345712696488470f, 0.930064196284032360f, - 0.929782132738772190f, - 0.929499522226638560f, 0.929216364913884040f, 0.928932660967082820f, - 0.928648410553130520f, - 0.928363613839244370f, 0.928078270992963140f, 0.927792382182146320f, - 0.927505947574975180f, - 0.927218967339951790f, 0.926931441645899130f, 0.926643370661961230f, - 0.926354754557602860f, - 0.926065593502609310f, 0.925775887667086740f, 0.925485637221461490f, - 0.925194842336480530f, - 0.924903503183210910f, 0.924611619933039970f, 0.924319192757675160f, - 0.924026221829143850f, - 0.923732707319793290f, 0.923438649402290370f, 0.923144048249621930f, - 0.922848904035094120f, - 0.922553216932332830f, 0.922256987115283030f, 0.921960214758209220f, - 0.921662900035694730f, - 0.921365043122642340f, 0.921066644194273640f, 0.920767703426128790f, - 0.920468220994067110f, - 0.920168197074266340f, 0.919867631843222950f, 0.919566525477751530f, - 0.919264878154985370f, - 0.918962690052375630f, 0.918659961347691900f, 0.918356692219021720f, - 0.918052882844770380f, - 0.917748533403661250f, 0.917443644074735220f, 0.917138215037350710f, - 0.916832246471183890f, - 0.916525738556228210f, 0.916218691472794220f, 0.915911105401509880f, - 0.915602980523320230f, - 0.915294317019487050f, 0.914985115071589310f, 0.914675374861522390f, - 0.914365096571498560f, - 0.914054280384046570f, 0.913742926482011390f, 0.913431035048554720f, - 0.913118606267154240f, - 0.912805640321603500f, 0.912492137396012650f, 0.912178097674807180f, - 0.911863521342728520f, - 0.911548408584833990f, 0.911232759586496190f, 0.910916574533403360f, - 0.910599853611558930f, - 0.910282597007281760f, 0.909964804907205660f, 0.909646477498279540f, - 0.909327614967767260f, - 0.909008217503247450f, 0.908688285292613360f, 0.908367818524072890f, - 0.908046817386148340f, - 0.907725282067676440f, 0.907403212757808110f, 0.907080609646008450f, - 0.906757472922056550f, - 0.906433802776045460f, 0.906109599398381980f, 0.905784862979786550f, - 0.905459593711293250f, - 0.905133791784249690f, 0.904807457390316540f, 0.904480590721468250f, - 0.904153191969991780f, - 0.903825261328487510f, 0.903496798989868450f, 0.903167805147360720f, - 0.902838279994502830f, - 0.902508223725145940f, 0.902177636533453620f, 0.901846518613901750f, - 0.901514870161278740f, - 0.901182691370684520f, 0.900849982437531450f, 0.900516743557543520f, - 0.900182974926756810f, - 0.899848676741518580f, 0.899513849198487980f, 0.899178492494635330f, - 0.898842606827242370f, - 0.898506192393901950f, 0.898169249392518080f, 0.897831778021305650f, - 0.897493778478790310f, - 0.897155250963808550f, 0.896816195675507300f, 0.896476612813344120f, - 0.896136502577086770f, - 0.895795865166813530f, 0.895454700782912450f, 0.895113009626081760f, - 0.894770791897329550f, - 0.894428047797973800f, 0.894084777529641990f, 0.893740981294271040f, - 0.893396659294107720f, - 0.893051811731707450f, 0.892706438809935390f, 0.892360540731965360f, - 0.892014117701280470f, - 0.891667169921672280f, 0.891319697597241390f, 0.890971700932396860f, - 0.890623180131855930f, - 0.890274135400644600f, 0.889924566944096720f, 0.889574474967854580f, - 0.889223859677868210f, - 0.888872721280395630f, 0.888521059982002260f, 0.888168875989561730f, - 0.887816169510254440f, - 0.887462940751568840f, 0.887109189921300170f, 0.886754917227550840f, - 0.886400122878730600f, - 0.886044807083555600f, 0.885688970051048960f, 0.885332611990540590f, - 0.884975733111666660f, - 0.884618333624369920f, 0.884260413738899190f, 0.883901973665809470f, - 0.883543013615961880f, - 0.883183533800523390f, 0.882823534430966620f, 0.882463015719070150f, - 0.882101977876917580f, - 0.881740421116898320f, 0.881378345651706920f, 0.881015751694342870f, - 0.880652639458111010f, - 0.880289009156621010f, 0.879924861003786860f, 0.879560195213827890f, - 0.879195012001267480f, - 0.878829311580933360f, 0.878463094167957870f, 0.878096359977777130f, - 0.877729109226131570f, - 0.877361342129065140f, 0.876993058902925890f, 0.876624259764365310f, - 0.876254944930338510f, - 0.875885114618103810f, 0.875514769045222850f, 0.875143908429560360f, - 0.874772532989284150f, - 0.874400642942864790f, 0.874028238509075740f, 0.873655319906992630f, - 0.873281887355994210f, - 0.872907941075761080f, 0.872533481286276170f, 0.872158508207824480f, - 0.871783022060993120f, - 0.871407023066670950f, 0.871030511446048260f, 0.870653487420617430f, - 0.870275951212171940f, - 0.869897903042806340f, 0.869519343134916860f, 0.869140271711200560f, - 0.868760688994655310f, - 0.868380595208579800f, 0.867999990576573510f, 0.867618875322536230f, - 0.867237249670668400f, - 0.866855113845470430f, 0.866472468071743050f, 0.866089312574586770f, - 0.865705647579402380f, - 0.865321473311889800f, 0.864936789998049020f, 0.864551597864179340f, - 0.864165897136879300f, - 0.863779688043046720f, 0.863392970809878420f, 0.863005745664870320f, - 0.862618012835816740f, - 0.862229772550811240f, 0.861841025038245330f, 0.861451770526809320f, - 0.861062009245491480f, - 0.860671741423578380f, 0.860280967290654510f, 0.859889687076602290f, - 0.859497901011601730f, - 0.859105609326130450f, 0.858712812250963520f, 0.858319510017173440f, - 0.857925702856129790f, - 0.857531390999499150f, 0.857136574679244980f, 0.856741254127627470f, - 0.856345429577203610f, - 0.855949101260826910f, 0.855552269411646860f, 0.855154934263109620f, - 0.854757096048957220f, - 0.854358755003227440f, 0.853959911360254180f, 0.853560565354666840f, - 0.853160717221390420f, - 0.852760367195645300f, 0.852359515512947090f, 0.851958162409106380f, - 0.851556308120228980f, - 0.851153952882715340f, 0.850751096933260790f, 0.850347740508854980f, - 0.849943883846782210f, - 0.849539527184620890f, 0.849134670760243630f, 0.848729314811817130f, - 0.848323459577801640f, - 0.847917105296951410f, 0.847510252208314330f, 0.847102900551231500f, - 0.846695050565337450f, - 0.846286702490559710f, 0.845877856567119000f, 0.845468513035528830f, - 0.845058672136595470f, - 0.844648334111417820f, 0.844237499201387020f, 0.843826167648186740f, - 0.843414339693792760f, - 0.843002015580472940f, 0.842589195550786710f, 0.842175879847585570f, - 0.841762068714012490f, - 0.841347762393501950f, 0.840932961129779780f, 0.840517665166862550f, - 0.840101874749058400f, - 0.839685590120966110f, 0.839268811527475230f, 0.838851539213765760f, - 0.838433773425308340f, - 0.838015514407863820f, 0.837596762407483040f, 0.837177517670507300f, - 0.836757780443567190f, - 0.836337550973583530f, 0.835916829507766360f, 0.835495616293615350f, - 0.835073911578919410f, - 0.834651715611756440f, 0.834229028640493420f, 0.833805850913786340f, - 0.833382182680579730f, - 0.832958024190106670f, 0.832533375691888680f, 0.832108237435735590f, - 0.831682609671745120f, - 0.831256492650303210f, 0.830829886622083570f, 0.830402791838047550f, - 0.829975208549443950f, - 0.829547137007808910f, 0.829118577464965980f, 0.828689530173025820f, - 0.828259995384385660f, - 0.827829973351729920f, 0.827399464328029470f, 0.826968468566541600f, - 0.826536986320809960f, - 0.826105017844664610f, 0.825672563392221390f, 0.825239623217882250f, - 0.824806197576334330f, - 0.824372286722551250f, 0.823937890911791370f, 0.823503010399598500f, - 0.823067645441801670f, - 0.822631796294514990f, 0.822195463214137170f, 0.821758646457351750f, - 0.821321346281126740f, - 0.820883562942714580f, 0.820445296699652050f, 0.820006547809759680f, - 0.819567316531142230f, - 0.819127603122188240f, 0.818687407841569680f, 0.818246730948242070f, - 0.817805572701444270f, - 0.817363933360698460f, 0.816921813185809480f, 0.816479212436865390f, - 0.816036131374236810f, - 0.815592570258576790f, 0.815148529350820830f, 0.814704008912187080f, - 0.814259009204175270f, - 0.813813530488567190f, 0.813367573027426570f, 0.812921137083098770f, - 0.812474222918210480f, - 0.812026830795669730f, 0.811578960978665890f, 0.811130613730669190f, - 0.810681789315430780f, - 0.810232487996982330f, 0.809782710039636530f, 0.809332455707985950f, - 0.808881725266903610f, - 0.808430518981542720f, 0.807978837117336310f, 0.807526679939997160f, - 0.807074047715517610f, - 0.806620940710169650f, 0.806167359190504420f, 0.805713303423352230f, - 0.805258773675822210f, - 0.804803770215302920f, 0.804348293309460780f, 0.803892343226241260f, - 0.803435920233868120f, - 0.802979024600843250f, 0.802521656595946430f, 0.802063816488235440f, - 0.801605504547046150f, - 0.801146721041991360f, 0.800687466242961610f, 0.800227740420124790f, - 0.799767543843925680f, - 0.799306876785086160f, 0.798845739514604580f, 0.798384132303756380f, - 0.797922055424093000f, - 0.797459509147442460f, 0.796996493745908750f, 0.796533009491872000f, - 0.796069056657987990f, - 0.795604635517188070f, 0.795139746342679590f, 0.794674389407944550f, - 0.794208564986740640f, - 0.793742273353100210f, 0.793275514781330630f, 0.792808289546014120f, - 0.792340597922007170f, - 0.791872440184440470f, 0.791403816608719500f, 0.790934727470523290f, - 0.790465173045804880f, - 0.789995153610791090f, 0.789524669441982190f, 0.789053720816151880f, - 0.788582308010347120f, - 0.788110431301888070f, 0.787638090968367450f, 0.787165287287651010f, - 0.786692020537876790f, - 0.786218290997455660f, 0.785744098945070360f, 0.785269444659675850f, - 0.784794328420499230f, - 0.784318750507038920f, 0.783842711199065230f, 0.783366210776619720f, - 0.782889249520015480f, - 0.782411827709836530f, 0.781933945626937630f, 0.781455603552444590f, - 0.780976801767753750f, - 0.780497540554531910f, 0.780017820194715990f, 0.779537640970513260f, - 0.779057003164400630f, - 0.778575907059125050f, 0.778094352937702790f, 0.777612341083420030f, - 0.777129871779831620f, - 0.776646945310762060f, 0.776163561960304340f, 0.775679722012820650f, - 0.775195425752941420f, - 0.774710673465565550f, 0.774225465435860680f, 0.773739801949261840f, - 0.773253683291472590f, - 0.772767109748463850f, 0.772280081606474320f, 0.771792599152010150f, - 0.771304662671844830f, - 0.770816272453018540f, 0.770327428782838890f, 0.769838131948879840f, - 0.769348382238982280f, - 0.768858179941253270f, 0.768367525344066270f, 0.767876418736060610f, - 0.767384860406141730f, - 0.766892850643480670f, 0.766400389737514230f, 0.765907477977944340f, - 0.765414115654738270f, - 0.764920303058128410f, 0.764426040478612070f, 0.763931328206951090f, - 0.763436166534172010f, - 0.762940555751565720f, 0.762444496150687210f, 0.761947988023355390f, - 0.761451031661653620f, - 0.760953627357928150f, 0.760455775404789260f, 0.759957476095110330f, - 0.759458729722028210f, - 0.758959536578942440f, 0.758459896959515430f, 0.757959811157672300f, - 0.757459279467600720f, - 0.756958302183750490f, 0.756456879600833740f, 0.755955012013824420f, - 0.755452699717958250f, - 0.754949943008732640f, 0.754446742181906440f, 0.753943097533499640f, - 0.753439009359793580f, - 0.752934477957330150f, 0.752429503622912390f, 0.751924086653603550f, - 0.751418227346727470f, - 0.750911925999867890f, 0.750405182910869330f, 0.749897998377835330f, - 0.749390372699129560f, - 0.748882306173375150f, 0.748373799099454560f, 0.747864851776509410f, - 0.747355464503940190f, - 0.746845637581406540f, 0.746335371308826320f, 0.745824665986376090f, - 0.745313521914490520f, - 0.744801939393862630f, 0.744289918725443260f, 0.743777460210440890f, - 0.743264564150321600f, - 0.742751230846809050f, 0.742237460601884000f, 0.741723253717784140f, - 0.741208610497004260f, - 0.740693531242295760f, 0.740178016256666240f, 0.739662065843380010f, - 0.739145680305957510f, - 0.738628859948174840f, 0.738111605074064260f, 0.737593915987913570f, - 0.737075792994265730f, - 0.736557236397919150f, 0.736038246503927350f, 0.735518823617598900f, - 0.734998968044496710f, - 0.734478680090438370f, 0.733957960061495940f, 0.733436808263995710f, - 0.732915225004517780f, - 0.732393210589896040f, 0.731870765327218290f, 0.731347889523825570f, - 0.730824583487312160f, - 0.730300847525525490f, 0.729776681946566090f, 0.729252087058786970f, - 0.728727063170793830f, - 0.728201610591444610f, 0.727675729629849610f, 0.727149420595371020f, - 0.726622683797622850f, - 0.726095519546471000f, 0.725567928152032300f, 0.725039909924675370f, - 0.724511465175019630f, - 0.723982594213935520f, 0.723453297352544380f, 0.722923574902217700f, - 0.722393427174577550f, - 0.721862854481496340f, 0.721331857135096290f, 0.720800435447749190f, - 0.720268589732077190f, - 0.719736320300951030f, 0.719203627467491220f, 0.718670511545067230f, - 0.718136972847297490f, - 0.717603011688049080f, 0.717068628381437480f, 0.716533823241826680f, - 0.715998596583828690f, - 0.715462948722303760f, 0.714926879972359490f, 0.714390390649351390f, - 0.713853481068882470f, - 0.713316151546802610f, 0.712778402399208980f, 0.712240233942445510f, - 0.711701646493102970f, - 0.711162640368018350f, 0.710623215884275020f, 0.710083373359202800f, - 0.709543113110376770f, - 0.709002435455618250f, 0.708461340712994160f, 0.707919829200816310f, - 0.707377901237642100f, - 0.706835557142273860f, 0.706292797233758480f, 0.705749621831387790f, - 0.705206031254697830f, - 0.704662025823468930f, 0.704117605857725430f, 0.703572771677735580f, - 0.703027523604011220f, - 0.702481861957308000f, 0.701935787058624360f, 0.701389299229202230f, - 0.700842398790526230f, - 0.700295086064323780f, 0.699747361372564990f, 0.699199225037462120f, - 0.698650677381469580f, - 0.698101718727283880f, 0.697552349397843270f, 0.697002569716327460f, - 0.696452380006157830f, - 0.695901780590996830f, 0.695350771794747800f, 0.694799353941554900f, - 0.694247527355803310f, - 0.693695292362118350f, 0.693142649285365510f, 0.692589598450650380f, - 0.692036140183318830f, - 0.691482274808955850f, 0.690928002653386280f, 0.690373324042674040f, - 0.689818239303122470f, - 0.689262748761273470f, 0.688706852743907750f, 0.688150551578044830f, - 0.687593845590942170f, - 0.687036735110095660f, 0.686479220463238950f, 0.685921301978343670f, - 0.685362979983618730f, - 0.684804254807510620f, 0.684245126778703080f, 0.683685596226116690f, - 0.683125663478908800f, - 0.682565328866473250f, 0.682004592718440830f, 0.681443455364677990f, - 0.680881917135287340f, - 0.680319978360607200f, 0.679757639371212030f, 0.679194900497911200f, - 0.678631762071749470f, - 0.678068224424006600f, 0.677504287886197430f, 0.676939952790071240f, - 0.676375219467611700f, - 0.675810088251037060f, 0.675244559472799270f, 0.674678633465584540f, - 0.674112310562312360f, - 0.673545591096136100f, 0.672978475400442090f, 0.672410963808849900f, - 0.671843056655211930f, - 0.671274754273613490f, 0.670706056998372160f, 0.670136965164037760f, - 0.669567479105392490f, - 0.668997599157450270f, 0.668427325655456820f, 0.667856658934889440f, - 0.667285599331456480f, - 0.666714147181097670f, 0.666142302819983540f, 0.665570066584515560f, - 0.664997438811325340f, - 0.664424419837275180f, 0.663851009999457340f, 0.663277209635194100f, - 0.662703019082037440f, - 0.662128438677768720f, 0.661553468760399000f, 0.660978109668168060f, - 0.660402361739545030f, - 0.659826225313227430f, 0.659249700728141490f, 0.658672788323441890f, - 0.658095488438511290f, - 0.657517801412960120f, 0.656939727586627110f, 0.656361267299578000f, - 0.655782420892106030f, - 0.655203188704731930f, 0.654623571078202680f, 0.654043568353492640f, - 0.653463180871802330f, - 0.652882408974558960f, 0.652301253003415460f, 0.651719713300251020f, - 0.651137790207170330f, - 0.650555484066503990f, 0.649972795220807530f, 0.649389724012861770f, - 0.648806270785672550f, - 0.648222435882470420f, 0.647638219646710420f, 0.647053622422071650f, - 0.646468644552457890f, - 0.645883286381996440f, 0.645297548255038380f, 0.644711430516158420f, - 0.644124933510154540f, - 0.643538057582047850f, 0.642950803077082080f, 0.642363170340724320f, - 0.641775159718663500f, - 0.641186771556811250f, 0.640598006201301030f, 0.640008863998488440f, - 0.639419345294950700f, - 0.638829450437486400f, 0.638239179773115390f, 0.637648533649078810f, - 0.637057512412838590f, - 0.636466116412077180f, 0.635874345994697720f, 0.635282201508823530f, - 0.634689683302797850f, - 0.634096791725183740f, 0.633503527124764320f, 0.632909889850541860f, - 0.632315880251737680f, - 0.631721498677792370f, 0.631126745478365340f, 0.630531621003334600f, - 0.629936125602796550f, - 0.629340259627065750f, 0.628744023426674790f, 0.628147417352374120f, - 0.627550441755131530f, - 0.626953096986132770f, 0.626355383396779990f, 0.625757301338692900f, - 0.625158851163707730f, - 0.624560033223877320f, 0.623960847871470770f, 0.623361295458973340f, - 0.622761376339086460f, - 0.622161090864726930f, 0.621560439389027270f, 0.620959422265335180f, - 0.620358039847213830f, - 0.619756292488440660f, 0.619154180543008410f, 0.618551704365123860f, - 0.617948864309208260f, - 0.617345660729896940f, 0.616742093982038830f, 0.616138164420696910f, - 0.615533872401147430f, - 0.614929218278879590f, 0.614324202409595950f, 0.613718825149211830f, - 0.613113086853854910f, - 0.612506987879865570f, 0.611900528583796070f, 0.611293709322411010f, - 0.610686530452686280f, - 0.610078992331809620f, 0.609471095317180240f, 0.608862839766408200f, - 0.608254226037314490f, - 0.607645254487930830f, 0.607035925476499760f, 0.606426239361473550f, - 0.605816196501515080f, - 0.605205797255496500f, 0.604595041982500360f, 0.603983931041818020f, - 0.603372464792950370f, - 0.602760643595607220f, 0.602148467809707320f, 0.601535937795377730f, - 0.600923053912954090f, - 0.600309816522980430f, 0.599696225986208310f, 0.599082282663597310f, - 0.598467986916314310f, - 0.597853339105733910f, 0.597238339593437530f, 0.596622988741213330f, - 0.596007286911056530f, - 0.595391234465168730f, 0.594774831765957580f, 0.594158079176036800f, - 0.593540977058226390f, - 0.592923525775551410f, 0.592305725691242400f, 0.591687577168735550f, - 0.591069080571671510f, - 0.590450236263895920f, 0.589831044609458900f, 0.589211505972615070f, - 0.588591620717822890f, - 0.587971389209745120f, 0.587350811813247660f, 0.586729888893400500f, - 0.586108620815476430f, - 0.585487007944951450f, 0.584865050647504490f, 0.584242749289016980f, - 0.583620104235572760f, - 0.582997115853457700f, 0.582373784509160220f, 0.581750110569369760f, - 0.581126094400977620f, - 0.580501736371076600f, 0.579877036846960350f, 0.579251996196123550f, - 0.578626614786261430f, - 0.578000892985269910f, 0.577374831161244880f, 0.576748429682482520f, - 0.576121688917478390f, - 0.575494609234928230f, 0.574867191003726740f, 0.574239434592967890f, - 0.573611340371944610f, - 0.572982908710148680f, 0.572354139977270030f, 0.571725034543197120f, - 0.571095592778016690f, - 0.570465815052012990f, 0.569835701735668110f, 0.569205253199661200f, - 0.568574469814869250f, - 0.567943351952365670f, 0.567311899983420800f, 0.566680114279501710f, - 0.566047995212271560f, - 0.565415543153589770f, 0.564782758475511400f, 0.564149641550287680f, - 0.563516192750364910f, - 0.562882412448384550f, 0.562248301017183150f, 0.561613858829792420f, - 0.560979086259438260f, - 0.560343983679540860f, 0.559708551463714790f, 0.559072789985768480f, - 0.558436699619704100f, - 0.557800280739717100f, 0.557163533720196340f, 0.556526458935723720f, - 0.555889056761073920f, - 0.555251327571214090f, 0.554613271741304040f, 0.553974889646695610f, - 0.553336181662932410f, - 0.552697148165749770f, 0.552057789531074980f, 0.551418106135026060f, - 0.550778098353912230f, - 0.550137766564233630f, 0.549497111142680960f, 0.548856132466135290f, - 0.548214830911667780f, - 0.547573206856539870f, 0.546931260678202190f, 0.546288992754295210f, - 0.545646403462648590f, - 0.545003493181281160f, 0.544360262288400400f, 0.543716711162402390f, - 0.543072840181871850f, - 0.542428649725581360f, 0.541784140172491660f, 0.541139311901750910f, - 0.540494165292695230f, - 0.539848700724847700f, 0.539202918577918240f, 0.538556819231804210f, - 0.537910403066588990f, - 0.537263670462542530f, 0.536616621800121150f, 0.535969257459966710f, - 0.535321577822907010f, - 0.534673583269955510f, 0.534025274182310380f, 0.533376650941355560f, - 0.532727713928658810f, - 0.532078463525973540f, 0.531428900115236910f, 0.530779024078570250f, - 0.530128835798278850f, - 0.529478335656852090f, 0.528827524036961980f, 0.528176401321464370f, - 0.527524967893398200f, - 0.526873224135984700f, 0.526221170432628170f, 0.525568807166914680f, - 0.524916134722612890f, - 0.524263153483673470f, 0.523609863834228030f, 0.522956266158590140f, - 0.522302360841254700f, - 0.521648148266897090f, 0.520993628820373810f, 0.520338802886721960f, - 0.519683670851158520f, - 0.519028233099080970f, 0.518372490016066220f, 0.517716441987871150f, - 0.517060089400432130f, - 0.516403432639863990f, 0.515746472092461380f, 0.515089208144697270f, - 0.514431641183222930f, - 0.513773771594868030f, 0.513115599766640560f, 0.512457126085725800f, - 0.511798350939487000f, - 0.511139274715464390f, 0.510479897801375700f, 0.509820220585115560f, - 0.509160243454754750f, - 0.508499966798540810f, 0.507839391004897940f, 0.507178516462425290f, - 0.506517343559898530f, - 0.505855872686268860f, 0.505194104230662240f, 0.504532038582380380f, - 0.503869676130898950f, - 0.503207017265869030f, 0.502544062377115800f, 0.501880811854638400f, - 0.501217266088609950f, - 0.500553425469377640f, 0.499889290387461380f, 0.499224861233555030f, - 0.498560138398525200f, - 0.497895122273410930f, 0.497229813249424340f, 0.496564211717949340f, - 0.495898318070542240f, - 0.495232132698931350f, 0.494565655995016010f, 0.493898888350867430f, - 0.493231830158728070f, - 0.492564481811010650f, 0.491896843700299240f, 0.491228916219348330f, - 0.490560699761082080f, - 0.489892194718595300f, 0.489223401485152030f, 0.488554320454186230f, - 0.487884952019301210f, - 0.487215296574268820f, 0.486545354513030270f, 0.485875126229695420f, - 0.485204612118541880f, - 0.484533812574016120f, 0.483862727990732320f, 0.483191358763471910f, - 0.482519705287184520f, - 0.481847767956986080f, 0.481175547168160360f, 0.480503043316157670f, - 0.479830256796594250f, - 0.479157188005253310f, 0.478483837338084080f, 0.477810205191201040f, - 0.477136291960884750f, - 0.476462098043581310f, 0.475787623835901120f, 0.475112869734620470f, - 0.474437836136679340f, - 0.473762523439182850f, 0.473086932039400220f, 0.472411062334764100f, - 0.471734914722871430f, - 0.471058489601482610f, 0.470381787368520710f, 0.469704808422072460f, - 0.469027553160387240f, - 0.468350021981876530f, 0.467672215285114710f, 0.466994133468838110f, - 0.466315776931944480f, - 0.465637146073493770f, 0.464958241292706740f, 0.464279062988965760f, - 0.463599611561814120f, - 0.462919887410955130f, 0.462239890936253280f, 0.461559622537733190f, - 0.460879082615578690f, - 0.460198271570134270f, 0.459517189801903590f, 0.458835837711549120f, - 0.458154215699893230f, - 0.457472324167916110f, 0.456790163516757220f, 0.456107734147714220f, - 0.455425036462242420f, - 0.454742070861955450f, 0.454058837748624540f, 0.453375337524177750f, - 0.452691570590700860f, - 0.452007537350436530f, 0.451323238205783520f, 0.450638673559297760f, - 0.449953843813690580f, - 0.449268749371829920f, 0.448583390636739300f, 0.447897768011597360f, - 0.447211881899738260f, - 0.446525732704651400f, 0.445839320829980350f, 0.445152646679523590f, - 0.444465710657234110f, - 0.443778513167218280f, 0.443091054613736990f, 0.442403335401204130f, - 0.441715355934187310f, - 0.441027116617407340f, 0.440338617855737300f, 0.439649860054203420f, - 0.438960843617984430f, - 0.438271568952410480f, 0.437582036462964340f, 0.436892246555280470f, - 0.436202199635143950f, - 0.435511896108492170f, 0.434821336381412350f, 0.434130520860143310f, - 0.433439449951074200f, - 0.432748124060743760f, 0.432056543595841450f, 0.431364708963206440f, - 0.430672620569826860f, - 0.429980278822840570f, 0.429287684129534720f, 0.428594836897344400f, - 0.427901737533854240f, - 0.427208386446796370f, 0.426514784044051520f, 0.425820930733648350f, - 0.425126826923762410f, - 0.424432473022717420f, 0.423737869438983950f, 0.423043016581179100f, - 0.422347914858067000f, - 0.421652564678558380f, 0.420956966451709440f, 0.420261120586723050f, - 0.419565027492946940f, - 0.418868687579875110f, 0.418172101257146430f, 0.417475268934544340f, - 0.416778191021997590f, - 0.416080867929579320f, 0.415383300067506290f, 0.414685487846140010f, - 0.413987431675985510f, - 0.413289131967690960f, 0.412590589132048380f, 0.411891803579992220f, - 0.411192775722600160f, - 0.410493505971092520f, 0.409793994736831200f, 0.409094242431320920f, - 0.408394249466208110f, - 0.407694016253280170f, 0.406993543204466460f, 0.406292830731837470f, - 0.405591879247603870f, - 0.404890689164117750f, 0.404189260893870750f, 0.403487594849495310f, - 0.402785691443763640f, - 0.402083551089587040f, 0.401381174200016790f, 0.400678561188243350f, - 0.399975712467595390f, - 0.399272628451540930f, 0.398569309553686360f, 0.397865756187775750f, - 0.397161968767691720f, - 0.396457947707453960f, 0.395753693421220080f, 0.395049206323284880f, - 0.394344486828079650f, - 0.393639535350172880f, 0.392934352304269600f, 0.392228938105210370f, - 0.391523293167972350f, - 0.390817417907668610f, 0.390111312739546910f, 0.389404978078991100f, - 0.388698414341519250f, - 0.387991621942784910f, 0.387284601298575890f, 0.386577352824813980f, - 0.385869876937555310f, - 0.385162174052989970f, 0.384454244587440870f, 0.383746088957365010f, - 0.383037707579352130f, - 0.382329100870124510f, 0.381620269246537520f, 0.380911213125578130f, - 0.380201932924366050f, - 0.379492429060152740f, 0.378782701950320600f, 0.378072752012383990f, - 0.377362579663988450f, - 0.376652185322909620f, 0.375941569407054420f, 0.375230732334460030f, - 0.374519674523293210f, - 0.373808396391851370f, 0.373096898358560690f, 0.372385180841977360f, - 0.371673244260786630f, - 0.370961089033802040f, 0.370248715579966360f, 0.369536124318350760f, - 0.368823315668153960f, - 0.368110290048703050f, 0.367397047879452820f, 0.366683589579984930f, - 0.365969915570008910f, - 0.365256026269360380f, 0.364541922098002180f, 0.363827603476023610f, - 0.363113070823639530f, - 0.362398324561191310f, 0.361683365109145950f, 0.360968192888095290f, - 0.360252808318756830f, - 0.359537211821973180f, 0.358821403818710860f, 0.358105384730061760f, - 0.357389154977241000f, - 0.356672714981588260f, 0.355956065164567010f, 0.355239205947763370f, - 0.354522137752887430f, - 0.353804861001772160f, 0.353087376116372530f, 0.352369683518766630f, - 0.351651783631154680f, - 0.350933676875858360f, 0.350215363675321740f, 0.349496844452109600f, - 0.348778119628908420f, - 0.348059189628525780f, 0.347340054873889190f, 0.346620715788047320f, - 0.345901172794169100f, - 0.345181426315542610f, 0.344461476775576480f, 0.343741324597798600f, - 0.343020970205855540f, - 0.342300414023513690f, 0.341579656474657210f, 0.340858697983289440f, - 0.340137538973531880f, - 0.339416179869623410f, 0.338694621095921190f, 0.337972863076899830f, - 0.337250906237150650f, - 0.336528751001382350f, 0.335806397794420560f, 0.335083847041206580f, - 0.334361099166798900f, - 0.333638154596370920f, 0.332915013755212650f, 0.332191677068729320f, - 0.331468144962440920f, - 0.330744417861982890f, 0.330020496193105530f, 0.329296380381672800f, - 0.328572070853663690f, - 0.327847568035170960f, 0.327122872352400510f, 0.326397984231672660f, - 0.325672904099419900f, - 0.324947632382188430f, 0.324222169506637130f, 0.323496515899536760f, - 0.322770671987770710f, - 0.322044638198334620f, 0.321318414958334910f, 0.320592002694990330f, - 0.319865401835630610f, - 0.319138612807695900f, 0.318411636038737960f, 0.317684471956418020f, - 0.316957120988508150f, - 0.316229583562890490f, 0.315501860107556040f, 0.314773951050606070f, - 0.314045856820250820f, - 0.313317577844809070f, 0.312589114552708660f, 0.311860467372486130f, - 0.311131636732785270f, - 0.310402623062358880f, 0.309673426790066490f, 0.308944048344875710f, - 0.308214488155861220f, - 0.307484746652204160f, 0.306754824263192780f, 0.306024721418221900f, - 0.305294438546791720f, - 0.304563976078509050f, 0.303833334443086470f, 0.303102514070341060f, - 0.302371515390196130f, - 0.301640338832678880f, 0.300908984827921890f, 0.300177453806162120f, - 0.299445746197739950f, - 0.298713862433100390f, 0.297981802942791920f, 0.297249568157465890f, - 0.296517158507877410f, - 0.295784574424884370f, 0.295051816339446720f, 0.294318884682627570f, - 0.293585779885591310f, - 0.292852502379604810f, 0.292119052596036540f, 0.291385430966355720f, - 0.290651637922133220f, - 0.289917673895040860f, 0.289183539316850310f, 0.288449234619434170f, - 0.287714760234765280f, - 0.286980116594915570f, 0.286245304132057120f, 0.285510323278461380f, - 0.284775174466498300f, - 0.284039858128637360f, 0.283304374697445790f, 0.282568724605589740f, - 0.281832908285833460f, - 0.281096926171038320f, 0.280360778694163810f, 0.279624466288266700f, - 0.278887989386500280f, - 0.278151348422115090f, 0.277414543828458200f, 0.276677576038972420f, - 0.275940445487197320f, - 0.275203152606767370f, 0.274465697831413220f, 0.273728081594960650f, - 0.272990304331329980f, - 0.272252366474536660f, 0.271514268458690810f, 0.270776010717996010f, - 0.270037593686750510f, - 0.269299017799346230f, 0.268560283490267890f, 0.267821391194094320f, - 0.267082341345496350f, - 0.266343134379238180f, 0.265603770730176440f, 0.264864250833259320f, - 0.264124575123527490f, - 0.263384744036113390f, 0.262644758006240100f, 0.261904617469222560f, - 0.261164322860466590f, - 0.260423874615468010f, 0.259683273169813930f, 0.258942518959180580f, - 0.258201612419334870f, - 0.257460553986133210f, 0.256719344095520720f, 0.255977983183532380f, - 0.255236471686291820f, - 0.254494810040010790f, 0.253752998680989940f, 0.253011038045617980f, - 0.252268928570370810f, - 0.251526670691812780f, 0.250784264846594550f, 0.250041711471454650f, - 0.249299011003218300f, - 0.248556163878796620f, 0.247813170535187620f, 0.247070031409475370f, - 0.246326746938829060f, - 0.245583317560504000f, 0.244839743711840750f, 0.244096025830264210f, - 0.243352164353284880f, - 0.242608159718496890f, 0.241864012363579210f, 0.241119722726294730f, - 0.240375291244489500f, - 0.239630718356093560f, 0.238886004499120170f, 0.238141150111664870f, - 0.237396155631906550f, - 0.236651021498106460f, 0.235905748148607370f, 0.235160336021834860f, - 0.234414785556295250f, - 0.233669097190576820f, 0.232923271363349120f, 0.232177308513361770f, - 0.231431209079445730f, - 0.230684973500512310f, 0.229938602215552260f, 0.229192095663636740f, - 0.228445454283916550f, - 0.227698678515621170f, 0.226951768798059980f, 0.226204725570620270f, - 0.225457549272768540f, - 0.224710240344049570f, 0.223962799224085520f, 0.223215226352576960f, - 0.222467522169301990f, - 0.221719687114115240f, 0.220971721626949060f, 0.220223626147812460f, - 0.219475401116790340f, - 0.218727046974044600f, 0.217978564159812290f, 0.217229953114406790f, - 0.216481214278216900f, - 0.215732348091705940f, 0.214983354995412820f, 0.214234235429951100f, - 0.213484989836008080f, - 0.212735618654345870f, 0.211986122325800410f, 0.211236501291280710f, - 0.210486755991769890f, - 0.209736886868323370f, 0.208986894362070070f, 0.208236778914211470f, - 0.207486540966020700f, - 0.206736180958843660f, 0.205985699334098050f, 0.205235096533272380f, - 0.204484372997927180f, - 0.203733529169694010f, 0.202982565490274460f, 0.202231482401441620f, - 0.201480280345037820f, - 0.200728959762976140f, 0.199977521097239290f, 0.199225964789878890f, - 0.198474291283016360f, - 0.197722501018842030f, 0.196970594439614370f, 0.196218571987660850f, - 0.195466434105377090f, - 0.194714181235225990f, 0.193961813819739010f, 0.193209332301514080f, - 0.192456737123216840f, - 0.191704028727579940f, 0.190951207557401860f, 0.190198274055548120f, - 0.189445228664950340f, - 0.188692071828605260f, 0.187938803989575850f, 0.187185425590990440f, - 0.186431937076041640f, - 0.185678338887987790f, 0.184924631470150870f, 0.184170815265917720f, - 0.183416890718739230f, - 0.182662858272129360f, 0.181908718369666160f, 0.181154471454990920f, - 0.180400117971807270f, - 0.179645658363882100f, 0.178891093075044830f, 0.178136422549186320f, - 0.177381647230260200f, - 0.176626767562280960f, 0.175871783989325040f, 0.175116696955530060f, - 0.174361506905093830f, - 0.173606214282275410f, 0.172850819531394200f, 0.172095323096829040f, - 0.171339725423019260f, - 0.170584026954463700f, 0.169828228135719880f, 0.169072329411405180f, - 0.168316331226194910f, - 0.167560234024823590f, 0.166804038252083870f, 0.166047744352825850f, - 0.165291352771957970f, - 0.164534863954446110f, 0.163778278345312690f, 0.163021596389637810f, - 0.162264818532558110f, - 0.161507945219266150f, 0.160750976895011390f, 0.159993914005098350f, - 0.159236756994887850f, - 0.158479506309796100f, 0.157722162395293690f, 0.156964725696906750f, - 0.156207196660216040f, - 0.155449575730855880f, 0.154691863354515400f, 0.153934059976937460f, - 0.153176166043917870f, - 0.152418182001306500f, 0.151660108295005400f, 0.150901945370970040f, - 0.150143693675208330f, - 0.149385353653779810f, 0.148626925752796540f, 0.147868410418422360f, - 0.147109808096871850f, - 0.146351119234411440f, 0.145592344277358450f, 0.144833483672080240f, - 0.144074537864995330f, - 0.143315507302571590f, 0.142556392431327340f, 0.141797193697830530f, - 0.141037911548697770f, - 0.140278546430595420f, 0.139519098790238600f, 0.138759569074390380f, - 0.137999957729862760f, - 0.137240265203515700f, 0.136480491942256310f, 0.135720638393040080f, - 0.134960705002868830f, - 0.134200692218792020f, 0.133440600487905820f, 0.132680430257352130f, - 0.131920181974319760f, - 0.131159856086043410f, 0.130399453039802740f, 0.129638973282923540f, - 0.128878417262776660f, - 0.128117785426777150f, 0.127357078222385570f, 0.126596296097105960f, - 0.125835439498487020f, - 0.125074508874121300f, 0.124313504671644300f, 0.123552427338735370f, - 0.122791277323116900f, - 0.122030055072553410f, 0.121268761034852550f, 0.120507395657864240f, - 0.119745959389479630f, - 0.118984452677632520f, 0.118222875970297250f, 0.117461229715489990f, - 0.116699514361267840f, - 0.115937730355727850f, 0.115175878147008180f, 0.114413958183287050f, - 0.113651970912781920f, - 0.112889916783750470f, 0.112127796244489750f, 0.111365609743335190f, - 0.110603357728661910f, - 0.109841040648882680f, 0.109078658952449240f, 0.108316213087851300f, - 0.107553703503615710f, - 0.106791130648307380f, 0.106028494970528530f, 0.105265796918917650f, - 0.104503036942150550f, - 0.103740215488939480f, 0.102977333008032250f, 0.102214389948213370f, - 0.101451386758302160f, - 0.100688323887153970f, 0.099925201783659226f, 0.099162020896742573f, - 0.098398781675363881f, - 0.097635484568517339f, 0.096872130025230527f, 0.096108718494565468f, - 0.095345250425617742f, - 0.094581726267515473f, 0.093818146469420494f, 0.093054511480527333f, - 0.092290821750062355f, - 0.091527077727284981f, 0.090763279861485704f, 0.089999428601987341f, - 0.089235524398144139f, - 0.088471567699340822f, 0.087707558954993645f, 0.086943498614549489f, - 0.086179387127484922f, - 0.085415224943307277f, 0.084651012511553700f, 0.083886750281790226f, - 0.083122438703613077f, - 0.082358078226646619f, 0.081593669300544638f, 0.080829212374989468f, - 0.080064707899690932f, - 0.079300156324387569f, 0.078535558098845590f, 0.077770913672857989f, - 0.077006223496245585f, - 0.076241488018856149f, 0.075476707690563416f, 0.074711882961268378f, - 0.073947014280897269f, - 0.073182102099402888f, 0.072417146866763538f, 0.071652149032982254f, - 0.070887109048087787f, - 0.070122027362133646f, 0.069356904425197236f, 0.068591740687380900f, - 0.067826536598810966f, - 0.067061292609636836f, 0.066296009170032283f, 0.065530686730193397f, - 0.064765325740339871f, - 0.063999926650714078f, 0.063234489911580136f, 0.062469015973224969f, - 0.061703505285957416f, - 0.060937958300107238f, 0.060172375466026218f, 0.059406757234087247f, - 0.058641104054683348f, - 0.057875416378229017f, 0.057109694655158132f, 0.056343939335925283f, - 0.055578150871004817f, - 0.054812329710889909f, 0.054046476306093640f, 0.053280591107148056f, - 0.052514674564603257f, - 0.051748727129028414f, 0.050982749251010900f, 0.050216741381155325f, - 0.049450703970084824f, - 0.048684637468439020f, 0.047918542326875327f, 0.047152418996068000f, - 0.046386267926707213f, - 0.045620089569500123f, 0.044853884375169933f, 0.044087652794454979f, - 0.043321395278109784f, - 0.042555112276904117f, 0.041788804241622082f, 0.041022471623063397f, - 0.040256114872041358f, - 0.039489734439384118f, 0.038723330775933762f, 0.037956904332545366f, - 0.037190455560088091f, - 0.036423984909444228f, 0.035657492831508264f, 0.034890979777187955f, - 0.034124446197403423f, - 0.033357892543086159f, 0.032591319265180385f, 0.031824726814640963f, - 0.031058115642434700f, - 0.030291486199539423f, 0.029524838936943035f, 0.028758174305644590f, - 0.027991492756653365f, - 0.027224794740987910f, 0.026458080709677145f, 0.025691351113759395f, - 0.024924606404281485f, - 0.024157847032300020f, 0.023391073448879338f, 0.022624286105092803f, - 0.021857485452021874f, - 0.021090671940755180f, 0.020323846022389572f, 0.019557008148029204f, - 0.018790158768784596f, - 0.018023298335773701f, 0.017256427300120978f, 0.016489546112956454f, - 0.015722655225417017f, - 0.014955755088644378f, 0.014188846153786343f, 0.013421928871995907f, - 0.012655003694430301f, - 0.011888071072252072f, 0.011121131456628141f, 0.010354185298728884f, - 0.009587233049729183f, - 0.008820275160807512f, 0.008053312083144991f, 0.007286344267926684f, - 0.006519372166339549f, - 0.005752396229573737f, 0.004985416908821652f, 0.004218434655277024f, - 0.003451449920135975f, - 0.002684463154596083f, 0.001917474809855460f, 0.001150485337113809f, - 0.000383495187571497f -}; - -static const float32_t cos_factors_8192[8192] = { - 1.999999990808214700, 1.999999917273932200, 1.999999770205369800, - 1.999999549602533100, - 1.999999255465430200, 1.999998887794072000, 1.999998446588471700, - 1.999997931848645600, - 1.999997343574612800, 1.999996681766395000, 1.999995946424016200, - 1.999995137547503600, - 1.999994255136887000, 1.999993299192198700, 1.999992269713474200, - 1.999991166700750800, - 1.999989990154069600, 1.999988740073473500, 1.999987416459008600, - 1.999986019310723500, - 1.999984548628669600, 1.999983004412901000, 1.999981386663474400, - 1.999979695380449400, - 1.999977930563888100, 1.999976092213855400, 1.999974180330418700, - 1.999972194913648900, - 1.999970135963618400, 1.999968003480403000, 1.999965797464081200, - 1.999963517914734100, - 1.999961164832445800, 1.999958738217302300, 1.999956238069392900, - 1.999953664388809800, - 1.999951017175647600, 1.999948296430003500, 1.999945502151977600, - 1.999942634341672600, - 1.999939692999193900, 1.999936678124649700, 1.999933589718150700, - 1.999930427779810900, - 1.999927192309745900, 1.999923883308075200, 1.999920500774920300, - 1.999917044710405500, - 1.999913515114657900, 1.999909911987807200, 1.999906235329986100, - 1.999902485141329400, - 1.999898661421975400, 1.999894764172064600, 1.999890793391740000, - 1.999886749081147800, - 1.999882631240436700, 1.999878439869758200, 1.999874174969266300, - 1.999869836539117700, - 1.999865424579472000, 1.999860939090491600, 1.999856380072341000, - 1.999851747525188200, - 1.999847041449203300, 1.999842261844559700, 1.999837408711432600, - 1.999832482050000900, - 1.999827481860445300, 1.999822408142949900, 1.999817260897701400, - 1.999812040124888700, - 1.999806745824704000, 1.999801377997341800, 1.999795936642999600, - 1.999790421761877400, - 1.999784833354177900, 1.999779171420106700, 1.999773435959872000, - 1.999767626973684400, - 1.999761744461757700, 1.999755788424308200, 1.999749758861554900, - 1.999743655773719400, - 1.999737479161026100, 1.999731229023702200, 1.999724905361977200, - 1.999718508176084000, - 1.999712037466257600, 1.999705493232735800, 1.999698875475759600, - 1.999692184195571900, - 1.999685419392419000, 1.999678581066549400, 1.999671669218214600, - 1.999664683847668800, - 1.999657624955168700, 1.999650492540973900, 1.999643286605346800, - 1.999636007148552400, - 1.999628654170857900, 1.999621227672533800, 1.999613727653853500, - 1.999606154115092500, - 1.999598507056529000, 1.999590786478444600, 1.999582992381123000, - 1.999575124764850800, - 1.999567183629917100, 1.999559168976613900, 1.999551080805236100, - 1.999542919116081000, - 1.999534683909448600, 1.999526375185641800, 1.999517992944965800, - 1.999509537187729200, - 1.999501007914242600, 1.999492405124819700, 1.999483728819776900, - 1.999474978999432800, - 1.999466155664109600, 1.999457258814131500, 1.999448288449825500, - 1.999439244571521700, - 1.999430127179552500, 1.999420936274252800, 1.999411671855960900, - 1.999402333925017300, - 1.999392922481765500, 1.999383437526551300, 1.999373879059723500, - 1.999364247081633500, - 1.999354541592635500, 1.999344762593086500, 1.999334910083345700, - 1.999324984063775700, - 1.999314984534741100, 1.999304911496609700, 1.999294764949752100, - 1.999284544894541100, - 1.999274251331352400, 1.999263884260564600, 1.999253443682558900, - 1.999242929597719200, - 1.999232342006432000, 1.999221680909086400, 1.999210946306074500, - 1.999200138197791100, - 1.999189256584633600, 1.999178301467001900, 1.999167272845298900, - 1.999156170719930100, - 1.999144995091303600, 1.999133745959830600, 1.999122423325924200, - 1.999111027190001000, - 1.999099557552479900, 1.999088014413782800, 1.999076397774334000, - 1.999064707634560700, - 1.999052943994892300, 1.999041106855761900, 1.999029196217604100, - 1.999017212080857400, - 1.999005154445962200, 1.998993023313361700, 1.998980818683502100, - 1.998968540556831800, - 1.998956188933802800, 1.998943763814868800, 1.998931265200486900, - 1.998918693091116200, - 1.998906047487219600, 1.998893328389261400, 1.998880535797709700, - 1.998867669713034500, - 1.998854730135709400, 1.998841717066209400, 1.998828630505013400, - 1.998815470452602400, - 1.998802236909460500, 1.998788929876074100, 1.998775549352932400, - 1.998762095340527400, - 1.998748567839354000, 1.998734966849909000, 1.998721292372693100, - 1.998707544408208700, - 1.998693722956961500, 1.998679828019459300, 1.998665859596213500, - 1.998651817687737300, - 1.998637702294547000, 1.998623513417161700, 1.998609251056103100, - 1.998594915211895600, - 1.998580505885066100, 1.998566023076144600, 1.998551466785663400, - 1.998536837014157900, - 1.998522133762165900, 1.998507357030227900, 1.998492506818887200, - 1.998477583128690100, - 1.998462585960185000, 1.998447515313923400, 1.998432371190459500, - 1.998417153590349900, - 1.998401862514154200, 1.998386497962434800, 1.998371059935756300, - 1.998355548434686400, - 1.998339963459795400, 1.998324305011656600, 1.998308573090845200, - 1.998292767697940100, - 1.998276888833522300, 1.998260936498175400, 1.998244910692486000, - 1.998228811417043700, - 1.998212638672439900, 1.998196392459269400, 1.998180072778129600, - 1.998163679629620500, - 1.998147213014344900, 1.998130672932908000, 1.998114059385918400, - 1.998097372373986300, - 1.998080611897725700, 1.998063777957752600, 1.998046870554686100, - 1.998029889689147700, - 1.998012835361761900, 1.997995707573155600, 1.997978506323958600, - 1.997961231614803200, - 1.997943883446324800, 1.997926461819161000, 1.997908966733952500, - 1.997891398191342400, - 1.997873756191977000, 1.997856040736504500, 1.997838251825576400, - 1.997820389459846700, - 1.997802453639972300, 1.997784444366612600, 1.997766361640429800, - 1.997748205462088500, - 1.997729975832256600, 1.997711672751604200, 1.997693296220804000, - 1.997674846240532000, - 1.997656322811466500, 1.997637725934288300, 1.997619055609681600, - 1.997600311838332500, - 1.997581494620930300, 1.997562603958166600, 1.997543639850736200, - 1.997524602299336500, - 1.997505491304667000, 1.997486306867430900, 1.997467048988333000, - 1.997447717668082000, - 1.997428312907388200, 1.997408834706965000, 1.997389283067528800, - 1.997369657989798400, - 1.997349959474495200, 1.997330187522343700, 1.997310342134070800, - 1.997290423310406100, - 1.997270431052081900, 1.997250365359833200, 1.997230226234397900, - 1.997210013676516700, - 1.997189727686932400, 1.997169368266390900, 1.997148935415640600, - 1.997128429135433400, - 1.997107849426522600, 1.997087196289665000, 1.997066469725620200, - 1.997045669735150000, - 1.997024796319019300, 1.997003849477995600, 1.996982829212848900, - 1.996961735524351900, - 1.996940568413280600, 1.996919327880412900, 1.996898013926530000, - 1.996876626552415400, - 1.996855165758855600, 1.996833631546639300, 1.996812023916558800, - 1.996790342869408000, - 1.996768588405984300, 1.996746760527087700, 1.996724859233520500, - 1.996702884526087900, - 1.996680836405598100, 1.996658714872861800, 1.996636519928692000, - 1.996614251573904900, - 1.996591909809319400, 1.996569494635756600, 1.996547006054041100, - 1.996524444064999400, - 1.996501808669461000, 1.996479099868258400, 1.996456317662226300, - 1.996433462052202600, - 1.996410533039027400, 1.996387530623543900, 1.996364454806597500, - 1.996341305589037100, - 1.996318082971713500, 1.996294786955480800, 1.996271417541195300, - 1.996247974729716200, - 1.996224458521905600, 1.996200868918628100, 1.996177205920750800, - 1.996153469529144100, - 1.996129659744680300, 1.996105776568235100, 1.996081820000686500, - 1.996057790042915500, - 1.996033686695805300, 1.996009509960242400, 1.995985259837115500, - 1.995960936327316300, - 1.995936539431739000, 1.995912069151280800, 1.995887525486841300, - 1.995862908439323100, - 1.995838218009630800, 1.995813454198672700, 1.995788617007359100, - 1.995763706436603200, - 1.995738722487320600, 1.995713665160430600, 1.995688534456853800, - 1.995663330377514400, - 1.995638052923339300, 1.995612702095257400, 1.995587277894201400, - 1.995561780321105600, - 1.995536209376907600, 1.995510565062547800, 1.995484847378968600, - 1.995459056327116000, - 1.995433191907938000, 1.995407254122385700, 1.995381242971412600, - 1.995355158455975200, - 1.995329000577032800, 1.995302769335546500, 1.995276464732481200, - 1.995250086768804100, - 1.995223635445484900, 1.995197110763496000, 1.995170512723813100, - 1.995143841327413400, - 1.995117096575278200, 1.995090278468390600, 1.995063387007736600, - 1.995036422194304700, - 1.995009384029086800, 1.994982272513076600, 1.994955087647271000, - 1.994927829432669800, - 1.994900497870274900, 1.994873092961091200, 1.994845614706126400, - 1.994818063106391000, - 1.994790438162897600, 1.994762739876662100, 1.994734968248702800, - 1.994707123280041100, - 1.994679204971700100, 1.994651213324707000, 1.994623148340090700, - 1.994595010018883000, - 1.994566798362118300, 1.994538513370834200, 1.994510155046070700, - 1.994481723388870100, - 1.994453218400277900, 1.994424640081342100, 1.994395988433113700, - 1.994367263456646100, - 1.994338465152995000, 1.994309593523219600, 1.994280648568381500, - 1.994251630289544600, - 1.994222538687776100, 1.994193373764145500, 1.994164135519725000, - 1.994134823955589800, - 1.994105439072817700, 1.994075980872488800, 1.994046449355686200, - 1.994016844523496000, - 1.993987166377006600, 1.993957414917308700, 1.993927590145496900, - 1.993897692062667200, - 1.993867720669919400, 1.993837675968354700, 1.993807557959078600, - 1.993777366643197900, - 1.993747102021822900, 1.993716764096066200, 1.993686352867043200, - 1.993655868335872300, - 1.993625310503674100, 1.993594679371572200, 1.993563974940692800, - 1.993533197212164800, - 1.993502346187119700, 1.993471421866692200, 1.993440424252018900, - 1.993409353344239600, - 1.993378209144496700, 1.993346991653935300, 1.993315700873703200, - 1.993284336804950900, - 1.993252899448831400, 1.993221388806500900, 1.993189804879117500, - 1.993158147667842800, - 1.993126417173840500, 1.993094613398277400, 1.993062736342323000, - 1.993030786007148800, - 1.992998762393930000, 1.992966665503844000, 1.992934495338070800, - 1.992902251897793000, - 1.992869935184196300, 1.992837545198469000, 1.992805081941801700, - 1.992772545415388200, - 1.992739935620424700, 1.992707252558110200, 1.992674496229646500, - 1.992641666636237700, - 1.992608763779091000, 1.992575787659416100, 1.992542738278425300, - 1.992509615637334100, - 1.992476419737359900, 1.992443150579723500, 1.992409808165648100, - 1.992376392496359300, - 1.992342903573086000, 1.992309341397059600, 1.992275705969513800, - 1.992241997291685400, - 1.992208215364813700, 1.992174360190140900, 1.992140431768911500, - 1.992106430102373400, - 1.992072355191776300, 1.992038207038373300, 1.992003985643419700, - 1.991969691008174100, - 1.991935323133897000, 1.991900882021852200, 1.991866367673306200, - 1.991831780089527500, - 1.991797119271788300, 1.991762385221362600, 1.991727577939527600, - 1.991692697427563300, - 1.991657743686751700, 1.991622716718378400, 1.991587616523731000, - 1.991552443104099800, - 1.991517196460778500, 1.991481876595062800, 1.991446483508251500, - 1.991411017201645500, - 1.991375477676549100, 1.991339864934268800, 1.991304178976114100, - 1.991268419803397200, - 1.991232587417432600, 1.991196681819537900, 1.991160703011033200, - 1.991124650993241400, - 1.991088525767488200, 1.991052327335101300, 1.991016055697411900, - 1.990979710855753900, - 1.990943292811463000, 1.990906801565878600, 1.990870237120342400, - 1.990833599476198800, - 1.990796888634794400, 1.990760104597479400, 1.990723247365606200, - 1.990686316940529800, - 1.990649313323608100, 1.990612236516201300, 1.990575086519673200, - 1.990537863335389400, - 1.990500566964718400, 1.990463197409031700, 1.990425754669703100, - 1.990388238748109100, - 1.990350649645629600, 1.990312987363646000, 1.990275251903543600, - 1.990237443266709400, - 1.990199561454533600, 1.990161606468409300, 1.990123578309731700, - 1.990085476979899000, - 1.990047302480312300, 1.990009054812374800, 1.989970733977493000, - 1.989932339977075900, - 1.989893872812535000, 1.989855332485284800, 1.989816718996742200, - 1.989778032348326700, - 1.989739272541461100, 1.989700439577570400, 1.989661533458082100, - 1.989622554184426800, - 1.989583501758037700, 1.989544376180350600, 1.989505177452804100, - 1.989465905576839600, - 1.989426560553900500, 1.989387142385433900, 1.989347651072888900, - 1.989308086617717500, - 1.989268449021374300, 1.989228738285316900, 1.989188954411005100, - 1.989149097399901500, - 1.989109167253472000, 1.989069163973184300, 1.989029087560509700, - 1.988988938016921000, - 1.988948715343894900, 1.988908419542910100, 1.988868050615448100, - 1.988827608562993200, - 1.988787093387032600, 1.988746505089055600, 1.988705843670554500, - 1.988665109133024500, - 1.988624301477963200, 1.988583420706871100, 1.988542466821251000, - 1.988501439822608900, - 1.988460339712453200, 1.988419166492295000, 1.988377920163648000, - 1.988336600728029000, - 1.988295208186956700, 1.988253742541953800, 1.988212203794544000, - 1.988170591946255100, - 1.988128906998616800, 1.988087148953161700, 1.988045317811425700, - 1.988003413574946000, - 1.987961436245263800, 1.987919385823922400, 1.987877262312467600, - 1.987835065712448600, - 1.987792796025416500, 1.987750453252925500, 1.987708037396532800, - 1.987665548457797400, - 1.987622986438281700, 1.987580351339550700, 1.987537643163171700, - 1.987494861910715100, - 1.987452007583754100, 1.987409080183863800, 1.987366079712622900, - 1.987323006171612500, - 1.987279859562415900, 1.987236639886619700, 1.987193347145813000, - 1.987149981341587400, - 1.987106542475537400, 1.987063030549260300, 1.987019445564355700, - 1.986975787522426100, - 1.986932056425076800, 1.986888252273915500, 1.986844375070552900, - 1.986800424816602200, - 1.986756401513679400, 1.986712305163403000, 1.986668135767394300, - 1.986623893327277500, - 1.986579577844678900, 1.986535189321228000, 1.986490727758556800, - 1.986446193158300400, - 1.986401585522095600, 1.986356904851583000, 1.986312151148405200, - 1.986267324414207500, - 1.986222424650638400, 1.986177451859348200, 1.986132406041990900, - 1.986087287200222700, - 1.986042095335702300, 1.985996830450091200, 1.985951492545054100, - 1.985906081622257300, - 1.985860597683371000, 1.985815040730067200, 1.985769410764020900, - 1.985723707786909900, - 1.985677931800414500, 1.985632082806217900, 1.985586160806005700, - 1.985540165801466200, - 1.985494097794290800, 1.985447956786173100, 1.985401742778809500, - 1.985355455773899500, - 1.985309095773144500, 1.985262662778249300, 1.985216156790921000, - 1.985169577812869500, - 1.985122925845807400, 1.985076200891450000, 1.985029402951515200, - 1.984982532027723700, - 1.984935588121798700, 1.984888571235466200, 1.984841481370454900, - 1.984794318528496200, - 1.984747082711324100, 1.984699773920675300, 1.984652392158289500, - 1.984604937425908300, - 1.984557409725276700, 1.984509809058142300, 1.984462135426255000, - 1.984414388831367900, - 1.984366569275236400, 1.984318676759618400, 1.984270711286275200, - 1.984222672856969800, - 1.984174561473469200, 1.984126377137541700, 1.984078119850959200, - 1.984029789615495900, - 1.983981386432928800, 1.983932910305037400, 1.983884361233604100, - 1.983835739220414000, - 1.983787044267254700, 1.983738276375916800, 1.983689435548192900, - 1.983640521785879200, - 1.983591535090773800, 1.983542475464678000, 1.983493342909395500, - 1.983444137426732600, - 1.983394859018498900, 1.983345507686505900, 1.983296083432567900, - 1.983246586258502700, - 1.983197016166129400, 1.983147373157271300, 1.983097657233753100, - 1.983047868397403100, - 1.982998006650051400, 1.982948071993531700, 1.982898064429679900, - 1.982847983960334600, - 1.982797830587336800, 1.982747604312531200, 1.982697305137763700, - 1.982646933064884200, - 1.982596488095744300, 1.982545970232199000, 1.982495379476105800, - 1.982444715829324600, - 1.982393979293718200, 1.982343169871152000, 1.982292287563494300, - 1.982241332372615600, - 1.982190304300389400, 1.982139203348692200, 1.982088029519402300, - 1.982036782814401900, - 1.981985463235574700, 1.981934070784807400, 1.981882605463990200, - 1.981831067275015000, - 1.981779456219776600, 1.981727772300172500, 1.981676015518103500, - 1.981624185875472000, - 1.981572283374183800, 1.981520308016147200, 1.981468259803273300, - 1.981416138737475800, - 1.981363944820670800, 1.981311678054777500, 1.981259338441717400, - 1.981206925983415300, - 1.981154440681797800, 1.981101882538794900, 1.981049251556338900, - 1.980996547736364900, - 1.980943771080810700, 1.980890921591616600, 1.980837999270726100, - 1.980785004120084700, - 1.980731936141640900, 1.980678795337345900, 1.980625581709153600, - 1.980572295259020600, - 1.980518935988905700, 1.980465503900771000, 1.980411998996581200, - 1.980358421278303200, - 1.980304770747907300, 1.980251047407365600, 1.980197251258653900, - 1.980143382303749500, - 1.980089440544633600, 1.980035425983289300, 1.979981338621702200, - 1.979927178461861500, - 1.979872945505758000, 1.979818639755386100, 1.979764261212742400, - 1.979709809879825800, - 1.979655285758638900, 1.979600688851186100, 1.979546019159474900, - 1.979491276685515300, - 1.979436461431320000, 1.979381573398904400, 1.979326612590286400, - 1.979271579007487100, - 1.979216472652529900, 1.979161293527440500, 1.979106041634248100, - 1.979050716974983800, - 1.978995319551682100, 1.978939849366379700, 1.978884306421115900, - 1.978828690717932900, - 1.978773002258875600, 1.978717241045991700, 1.978661407081331100, - 1.978605500366946700, - 1.978549520904894000, 1.978493468697231300, 1.978437343746019600, - 1.978381146053322000, - 1.978324875621205300, 1.978268532451738200, 1.978212116546992100, - 1.978155627909041300, - 1.978099066539962900, 1.978042432441836400, 1.977985725616743900, - 1.977928946066770600, - 1.977872093794004200, 1.977815168800534500, 1.977758171088455100, - 1.977701100659861300, - 1.977643957516851400, 1.977586741661526500, 1.977529453095990200, - 1.977472091822348700, - 1.977414657842711200, 1.977357151159189400, 1.977299571773897700, - 1.977241919688953000, - 1.977184194906475000, 1.977126397428586000, 1.977068527257411300, - 1.977010584395078300, - 1.976952568843717700, 1.976894480605462500, 1.976836319682448300, - 1.976778086076813600, - 1.976719779790699500, 1.976661400826249500, 1.976602949185610500, - 1.976544424870931400, - 1.976485827884363800, 1.976427158228062100, 1.976368415904183900, - 1.976309600914888400, - 1.976250713262338600, 1.976191752948699200, 1.976132719976138000, - 1.976073614346825800, - 1.976014436062935700, 1.975955185126643300, 1.975895861540127200, - 1.975836465305568400, - 1.975776996425151000, 1.975717454901061400, 1.975657840735488800, - 1.975598153930624900, - 1.975538394488664200, 1.975478562411804100, 1.975418657702244300, - 1.975358680362187400, - 1.975298630393838500, 1.975238507799405500, 1.975178312581099100, - 1.975118044741132300, - 1.975057704281721000, 1.974997291205083700, 1.974936805513442000, - 1.974876247209019100, - 1.974815616294042200, 1.974754912770740200, 1.974694136641345300, - 1.974633287908091500, - 1.974572366573216400, 1.974511372638960000, 1.974450306107564900, - 1.974389166981275900, - 1.974327955262341400, 1.974266670953011400, 1.974205314055540000, - 1.974143884572182400, - 1.974082382505197400, 1.974020807856846400, 1.973959160629393100, - 1.973897440825104200, - 1.973835648446248900, 1.973773783495099500, 1.973711845973930000, - 1.973649835885018100, - 1.973587753230643400, 1.973525598013088800, 1.973463370234639600, - 1.973401069897583200, - 1.973338697004211100, 1.973276251556815600, 1.973213733557693400, - 1.973151143009142800, - 1.973088479913465100, 1.973025744272964200, 1.972962936089946800, - 1.972900055366722000, - 1.972837102105601900, 1.972774076308901200, 1.972710977978936900, - 1.972647807118029300, - 1.972584563728500700, 1.972521247812676600, 1.972457859372884500, - 1.972394398411455800, - 1.972330864930723200, 1.972267258933022600, 1.972203580420693000, - 1.972139829396075200, - 1.972076005861513700, 1.972012109819354600, 1.971948141271947500, - 1.971884100221644300, - 1.971819986670799500, 1.971755800621770400, 1.971691542076916800, - 1.971627211038601500, - 1.971562807509189800, 1.971498331491049700, 1.971433782986551400, - 1.971369161998068400, - 1.971304468527976800, 1.971239702578655000, 1.971174864152484400, - 1.971109953251848600, - 1.971044969879134600, 1.970979914036731500, 1.970914785727030800, - 1.970849584952427900, - 1.970784311715319400, 1.970718966018105500, 1.970653547863188600, - 1.970588057252973900, - 1.970522494189869800, 1.970456858676286300, 1.970391150714636800, - 1.970325370307337100, - 1.970259517456806100, 1.970193592165464700, 1.970127594435737000, - 1.970061524270049400, - 1.969995381670831100, 1.969929166640514100, 1.969862879181532700, - 1.969796519296324300, - 1.969730086987328900, 1.969663582256988600, 1.969597005107748900, - 1.969530355542057800, - 1.969463633562365400, 1.969396839171125200, 1.969329972370792700, - 1.969263033163826800, - 1.969196021552688500, 1.969128937539841500, 1.969061781127752400, - 1.968994552318890300, - 1.968927251115727200, 1.968859877520737300, 1.968792431536398000, - 1.968724913165188900, - 1.968657322409592500, 1.968589659272094000, 1.968521923755181000, - 1.968454115861344000, - 1.968386235593076300, 1.968318282952873600, 1.968250257943234200, - 1.968182160566659000, - 1.968113990825652200, 1.968045748722719900, 1.967977434260371300, - 1.967909047441118100, - 1.967840588267474500, 1.967772056741957900, 1.967703452867087800, - 1.967634776645386600, - 1.967566028079379200, 1.967497207171593500, 1.967428313924559600, - 1.967359348340810700, - 1.967290310422882700, 1.967221200173313400, 1.967152017594644200, - 1.967082762689418500, - 1.967013435460182700, 1.966944035909485600, 1.966874564039879300, - 1.966805019853917500, - 1.966735403354157500, 1.966665714543159000, 1.966595953423483800, - 1.966526119997697100, - 1.966456214268366600, 1.966386236238062200, 1.966316185909357200, - 1.966246063284826700, - 1.966175868367049400, 1.966105601158605600, 1.966035261662079300, - 1.965964849880056600, - 1.965894365815126000, 1.965823809469879400, 1.965753180846910900, - 1.965682479948817100, - 1.965611706778197700, 1.965540861337654600, 1.965469943629792700, - 1.965398953657219600, - 1.965327891422544900, 1.965256756928382100, 1.965185550177345900, - 1.965114271172054800, - 1.965042919915129400, 1.964971496409193100, 1.964900000656872000, - 1.964828432660794500, - 1.964756792423592200, 1.964685079947899200, 1.964613295236352000, - 1.964541438291590000, - 1.964469509116255000, 1.964397507712991800, 1.964325434084447600, - 1.964253288233272400, - 1.964181070162119000, 1.964108779873642100, 1.964036417370500300, - 1.963963982655353400, - 1.963891475730865400, 1.963818896599701400, 1.963746245264530700, - 1.963673521728023900, - 1.963600725992855200, 1.963527858061700600, 1.963454917937239800, - 1.963381905622154400, - 1.963308821119128700, 1.963235664430850200, 1.963162435560008100, - 1.963089134509295300, - 1.963015761281406800, 1.962942315879040000, 1.962868798304895400, - 1.962795208561676200, - 1.962721546652088200, 1.962647812578839400, 1.962574006344640900, - 1.962500127952206300, - 1.962426177404252200, 1.962352154703497200, 1.962278059852663000, - 1.962203892854473800, - 1.962129653711656800, 1.962055342426941400, 1.961980959003059500, - 1.961906503442746300, - 1.961831975748739200, 1.961757375923778700, 1.961682703970607100, - 1.961607959891970200, - 1.961533143690616000, 1.961458255369295400, 1.961383294930761700, - 1.961308262377770900, - 1.961233157713082200, 1.961157980939456400, 1.961082732059657800, - 1.961007411076453000, - 1.960932017992611500, 1.960856552810905200, 1.960781015534108800, - 1.960705406164999300, - 1.960629724706357100, 1.960553971160964500, 1.960478145531606700, - 1.960402247821071900, - 1.960326278032150200, 1.960250236167635100, 1.960174122230322400, - 1.960097936223010400, - 1.960021678148500500, 1.959945348009596500, 1.959868945809104500, - 1.959792471549834000, - 1.959715925234596600, 1.959639306866206600, 1.959562616447480900, - 1.959485853981239600, - 1.959409019470304700, 1.959332112917501400, 1.959255134325657000, - 1.959178083697602300, - 1.959100961036169800, 1.959023766344195200, 1.958946499624516700, - 1.958869160879975500, - 1.958791750113414700, 1.958714267327680500, 1.958636712525621900, - 1.958559085710090500, - 1.958481386883940100, 1.958403616050027600, 1.958325773211212300, - 1.958247858370356400, - 1.958169871530324600, 1.958091812693984400, 1.958013681864205500, - 1.957935479043860600, - 1.957857204235825100, 1.957778857442976900, 1.957700438668196700, - 1.957621947914367500, - 1.957543385184375300, 1.957464750481108700, 1.957386043807458800, - 1.957307265166319500, - 1.957228414560587200, 1.957149491993160900, 1.957070497466942400, - 1.956991430984836400, - 1.956912292549749500, 1.956833082164591600, 1.956753799832275300, - 1.956674445555715000, - 1.956595019337829000, 1.956515521181537000, 1.956435951089762200, - 1.956356309065430100, - 1.956276595111468900, 1.956196809230809500, 1.956116951426385600, - 1.956037021701132900, - 1.955957020057990500, 1.955876946499899700, 1.955796801029804800, - 1.955716583650652000, - 1.955636294365391300, 1.955555933176974300, 1.955475500088355900, - 1.955394995102493100, - 1.955314418222346100, 1.955233769450877200, 1.955153048791052000, - 1.955072256245838000, - 1.954991391818206000, 1.954910455511129000, 1.954829447327582900, - 1.954748367270545900, - 1.954667215342999600, 1.954585991547927100, 1.954504695888315000, - 1.954423328367152600, - 1.954341888987431100, 1.954260377752145000, 1.954178794664291200, - 1.954097139726869600, - 1.954015412942881900, 1.953933614315333200, 1.953851743847231100, - 1.953769801541585400, - 1.953687787401409400, 1.953605701429718100, 1.953523543629529700, - 1.953441314003864900, - 1.953359012555747200, 1.953276639288202400, 1.953194194204259200, - 1.953111677306948800, - 1.953029088599305100, 1.952946428084364900, 1.952863695765167100, - 1.952780891644753500, - 1.952698015726169100, 1.952615068012460300, 1.952532048506677300, - 1.952448957211872200, - 1.952365794131100300, 1.952282559267419100, 1.952199252623889200, - 1.952115874203572900, - 1.952032424009536600, 1.951948902044847900, 1.951865308312577900, - 1.951781642815800100, - 1.951697905557590700, 1.951614096541028500, 1.951530215769194700, - 1.951446263245173500, - 1.951362238972051500, 1.951278142952918200, 1.951193975190865600, - 1.951109735688987900, - 1.951025424450382900, 1.950941041478150100, 1.950856586775392200, - 1.950772060345214300, - 1.950687462190724200, 1.950602792315032200, 1.950518050721251600, - 1.950433237412498000, - 1.950348352391889600, 1.950263395662547700, 1.950178367227595900, - 1.950093267090159800, - 1.950008095253369200, 1.949922851720355100, 1.949837536494251700, - 1.949752149578196000, - 1.949666690975327100, 1.949581160688787400, 1.949495558721721500, - 1.949409885077276500, - 1.949324139758602700, 1.949238322768852800, 1.949152434111181700, - 1.949066473788747300, - 1.948980441804710300, 1.948894338162233900, 1.948808162864483600, - 1.948721915914628100, - 1.948635597315838200, 1.948549207071288000, 1.948462745184153400, - 1.948376211657613500, - 1.948289606494849800, 1.948202929699046800, 1.948116181273391100, - 1.948029361221072400, - 1.947942469545282500, 1.947855506249216700, 1.947768471336071700, - 1.947681364809048100, - 1.947594186671348000, 1.947506936926177300, 1.947419615576743600, - 1.947332222626257500, - 1.947244758077932200, 1.947157221934983500, 1.947069614200629900, - 1.946981934878092300, - 1.946894183970594900, 1.946806361481363500, 1.946718467413627300, - 1.946630501770618000, - 1.946542464555569800, 1.946454355771719300, 1.946366175422306500, - 1.946277923510573200, - 1.946189600039764300, 1.946101205013127000, 1.946012738433911600, - 1.945924200305370700, - 1.945835590630759400, 1.945746909413335900, 1.945658156656360700, - 1.945569332363096700, - 1.945480436536810100, 1.945391469180769200, 1.945302430298244900, - 1.945213319892511200, - 1.945124137966844200, 1.945034884524523100, 1.944945559568829200, - 1.944856163103046800, - 1.944766695130463000, 1.944677155654366900, 1.944587544678050900, - 1.944497862204809900, - 1.944408108237940700, 1.944318282780743900, 1.944228385836521700, - 1.944138417408579400, - 1.944048377500225100, 1.943958266114769200, 1.943868083255524800, - 1.943777828925807600, - 1.943687503128936200, 1.943597105868231500, 1.943506637147017300, - 1.943416096968619400, - 1.943325485336367300, 1.943234802253592400, 1.943144047723628400, - 1.943053221749812400, - 1.942962324335484100, 1.942871355483985200, 1.942780315198660200, - 1.942689203482856900, - 1.942598020339924700, 1.942506765773216500, 1.942415439786087300, - 1.942324042381895000, - 1.942232573564000000, 1.942141033335765400, 1.942049421700556600, - 1.941957738661741900, - 1.941865984222692900, 1.941774158386782200, 1.941682261157386700, - 1.941590292537884700, - 1.941498252531658200, 1.941406141142090600, 1.941313958372568900, - 1.941221704226482500, - 1.941129378707223000, 1.941036981818185400, 1.940944513562766300, - 1.940851973944365900, - 1.940759362966386600, 1.940666680632233200, 1.940573926945313700, - 1.940481101909038200, - 1.940388205526819600, 1.940295237802073500, 1.940202198738217900, - 1.940109088338673600, - 1.940015906606864300, 1.939922653546215500, 1.939829329160156500, - 1.939735933452118000, - 1.939642466425534300, 1.939548928083841800, 1.939455318430479500, - 1.939361637468889100, - 1.939267885202515400, 1.939174061634805000, 1.939080166769207700, - 1.938986200609175600, - 1.938892163158163700, 1.938798054419629500, 1.938703874397032800, - 1.938609623093837000, - 1.938515300513506700, 1.938420906659510600, 1.938326441535318500, - 1.938231905144404400, - 1.938137297490243500, 1.938042618576314400, 1.937947868406098500, - 1.937853046983079300, - 1.937758154310742900, 1.937663190392578500, 1.937568155232077600, - 1.937473048832734500, - 1.937377871198045600, 1.937282622331510500, 1.937187302236631500, - 1.937091910916912900, - 1.936996448375861900, 1.936900914616988900, 1.936805309643805800, - 1.936709633459828200, - 1.936613886068573500, 1.936518067473562300, 1.936422177678317300, - 1.936326216686364400, - 1.936230184501231500, 1.936134081126449800, 1.936037906565552400, - 1.935941660822075600, - 1.935845343899558000, 1.935748955801540800, 1.935652496531568000, - 1.935555966093186300, - 1.935459364489944500, 1.935362691725394500, 1.935265947803090900, - 1.935169132726590500, - 1.935072246499453000, 1.934975289125240500, 1.934878260607517900, - 1.934781160949852600, - 1.934683990155814800, 1.934586748228977100, 1.934489435172914900, - 1.934392050991206300, - 1.934294595687431300, 1.934197069265173500, 1.934099471728018700, - 1.934001803079554700, - 1.933904063323373300, 1.933806252463067500, 1.933708370502233800, - 1.933610417444471000, - 1.933512393293380600, 1.933414298052566600, 1.933316131725635800, - 1.933217894316197300, - 1.933119585827862900, 1.933021206264247600, 1.932922755628968100, - 1.932824233925644300, - 1.932725641157898600, 1.932626977329356100, 1.932528242443643900, - 1.932429436504392800, - 1.932330559515235100, 1.932231611479806800, 1.932132592401745400, - 1.932033502284691700, - 1.931934341132289100, 1.931835108948183300, 1.931735805736022800, - 1.931636431499459000, - 1.931536986242145200, 1.931437469967737900, 1.931337882679895900, - 1.931238224382281000, - 1.931138495078557300, 1.931038694772391200, 1.930938823467452500, - 1.930838881167413100, - 1.930738867875947400, 1.930638783596732700, 1.930538628333448900, - 1.930438402089778200, - 1.930338104869405900, 1.930237736676019500, 1.930137297513309300, - 1.930036787384968200, - 1.929936206294691400, 1.929835554246177400, 1.929734831243126600, - 1.929634037289242400, - 1.929533172388230700, 1.929432236543799900, 1.929331229759661200, - 1.929230152039528500, - 1.929129003387117800, 1.929027783806148300, 1.928926493300341400, - 1.928825131873421500, - 1.928723699529115000, 1.928622196271151800, 1.928520622103263400, - 1.928418977029184600, - 1.928317261052652700, 1.928215474177407100, 1.928113616407190600, - 1.928011687745748300, - 1.927909688196827400, 1.927807617764178300, 1.927705476451554000, - 1.927603264262709900, - 1.927500981201404100, 1.927398627271397000, 1.927296202476451900, - 1.927193706820335100, - 1.927091140306814500, 1.926988502939661400, 1.926885794722649600, - 1.926783015659555300, - 1.926680165754157500, 1.926577245010237400, 1.926474253431579500, - 1.926371191021970100, - 1.926268057785198700, 1.926164853725057300, 1.926061578845340600, - 1.925958233149845000, - 1.925854816642371000, 1.925751329326720600, 1.925647771206698600, - 1.925544142286112800, - 1.925440442568773000, 1.925336672058492300, 1.925232830759086000, - 1.925128918674371900, - 1.925024935808170600, 1.924920882164305300, 1.924816757746601800, - 1.924712562558888100, - 1.924608296604995800, 1.924503959888757900, 1.924399552414010700, - 1.924295074184593000, - 1.924190525204346300, 1.924085905477114400, 1.923981215006744100, - 1.923876453797084300, - 1.923771621851986700, 1.923666719175306100, 1.923561745770898900, - 1.923456701642625200, - 1.923351586794346900, 1.923246401229928600, 1.923141144953238300, - 1.923035817968145300, - 1.922930420278522500, 1.922824951888245000, 1.922719412801190600, - 1.922613803021239600, - 1.922508122552275100, 1.922402371398182600, 1.922296549562850100, - 1.922190657050168800, - 1.922084693864031700, 1.921978660008334600, 1.921872555486976700, - 1.921766380303858500, - 1.921660134462884100, 1.921553817967959900, 1.921447430822994500, - 1.921340973031900000, - 1.921234444598590100, 1.921127845526981600, 1.921021175820994100, - 1.920914435484549100, - 1.920807624521571700, 1.920700742935988600, 1.920593790731729600, - 1.920486767912727300, - 1.920379674482916500, 1.920272510446234400, 1.920165275806621400, - 1.920057970568020100, - 1.919950594734376000, 1.919843148309637000, 1.919735631297753400, - 1.919628043702678300, - 1.919520385528367300, 1.919412656778779000, 1.919304857457874200, - 1.919196987569616200, - 1.919089047117971100, 1.918981036106907700, 1.918872954540397300, - 1.918764802422413500, - 1.918656579756932800, 1.918548286547934400, 1.918439922799399800, - 1.918331488515313300, - 1.918222983699661600, 1.918114408356434300, 1.918005762489623400, - 1.917897046103223200, - 1.917788259201231200, 1.917679401787647100, 1.917570473866473200, - 1.917461475441714500, - 1.917352406517378600, 1.917243267097475700, 1.917134057186018300, - 1.917024776787022100, - 1.916915425904504700, 1.916806004542486800, 1.916696512704991500, - 1.916586950396044400, - 1.916477317619674100, 1.916367614379911100, 1.916257840680788900, - 1.916147996526343700, - 1.916038081920614400, 1.915928096867641800, 1.915818041371470000, - 1.915707915436145200, - 1.915597719065716700, 1.915487452264236000, 1.915377115035757200, - 1.915266707384337200, - 1.915156229314035200, 1.915045680828913400, 1.914935061933036300, - 1.914824372630470800, - 1.914713612925287100, 1.914602782821557000, 1.914491882323355700, - 1.914380911434760500, - 1.914269870159851700, 1.914158758502712000, 1.914047576467426500, - 1.913936324058083100, - 1.913825001278772100, 1.913713608133586600, 1.913602144626622500, - 1.913490610761977600, - 1.913379006543752800, 1.913267331976051400, 1.913155587062979500, - 1.913043771808645700, - 1.912931886217160900, 1.912819930292639000, 1.912707904039196300, - 1.912595807460951500, - 1.912483640562026200, 1.912371403346544400, 1.912259095818632700, - 1.912146717982420500, - 1.912034269842039600, 1.911921751401624200, 1.911809162665311500, - 1.911696503637241100, - 1.911583774321554700, 1.911470974722397500, 1.911358104843916500, - 1.911245164690262000, - 1.911132154265586100, 1.911019073574044200, 1.910905922619793800, - 1.910792701406995000, - 1.910679409939810600, 1.910566048222406300, 1.910452616258949900, - 1.910339114053611900, - 1.910225541610565800, 1.910111898933986900, 1.909998186028053700, - 1.909884402896947100, - 1.909770549544850500, 1.909656625975950200, 1.909542632194434700, - 1.909428568204495100, - 1.909314434010325400, 1.909200229616121700, 1.909085955026083200, - 1.908971610244411600, - 1.908857195275310800, 1.908742710122987700, 1.908628154791651300, - 1.908513529285513500, - 1.908398833608789100, 1.908284067765694900, 1.908169231760450400, - 1.908054325597278200, - 1.907939349280402400, 1.907824302814050900, 1.907709186202453600, - 1.907593999449842800, - 1.907478742560453600, 1.907363415538523700, 1.907248018388293400, - 1.907132551114005600, - 1.907017013719905600, 1.906901406210241200, 1.906785728589263300, - 1.906669980861224900, - 1.906554163030381500, 1.906438275100991600, 1.906322317077316300, - 1.906206288963618700, - 1.906090190764164700, 1.905974022483223300, 1.905857784125065500, - 1.905741475693964800, - 1.905625097194197900, 1.905508648630043700, 1.905392130005783400, - 1.905275541325701400, - 1.905158882594083900, 1.905042153815220700, 1.904925354993402900, - 1.904808486132925300, - 1.904691547238084800, 1.904574538313180700, 1.904457459362515200, - 1.904340310390393100, - 1.904223091401121600, 1.904105802399010300, 1.903988443388371600, - 1.903871014373520700, - 1.903753515358774800, 1.903635946348454500, 1.903518307346881800, - 1.903400598358382600, - 1.903282819387284200, 1.903164970437917400, 1.903047051514615000, - 1.902929062621712600, - 1.902811003763547900, 1.902692874944462300, 1.902574676168798700, - 1.902456407440902700, - 1.902338068765123200, 1.902219660145810800, 1.902101181587319000, - 1.901982633094004200, - 1.901864014670225000, 1.901745326320342500, 1.901626568048721000, - 1.901507739859726200, - 1.901388841757727600, 1.901269873747096600, 1.901150835832207100, - 1.901031728017436300, - 1.900912550307162700, 1.900793302705768900, 1.900673985217638900, - 1.900554597847159400, - 1.900435140598720500, 1.900315613476714100, 1.900196016485534700, - 1.900076349629579600, - 1.899956612913248800, 1.899836806340944300, 1.899716929917071500, - 1.899596983646037600, - 1.899476967532252900, 1.899356881580129800, 1.899236725794083600, - 1.899116500178532200, - 1.898996204737895900, 1.898875839476597700, 1.898755404399062900, - 1.898634899509719500, - 1.898514324812998300, 1.898393680313332600, 1.898272966015157800, - 1.898152181922912600, - 1.898031328041037700, 1.897910404373976500, 1.897789410926175000, - 1.897668347702081900, - 1.897547214706148300, 1.897426011942827900, 1.897304739416577200, - 1.897183397131854600, - 1.897061985093121800, 1.896940503304842800, 1.896818951771484000, - 1.896697330497514800, - 1.896575639487406300, 1.896453878745633100, 1.896332048276672100, - 1.896210148085002400, - 1.896088178175106200, 1.895966138551467700, 1.895844029218574100, - 1.895721850180915000, - 1.895599601442982600, 1.895477283009271400, 1.895354894884279100, - 1.895232437072505300, - 1.895109909578452500, 1.894987312406625700, 1.894864645561532100, - 1.894741909047682500, - 1.894619102869589100, 1.894496227031767100, 1.894373281538734400, - 1.894250266395011600, - 1.894127181605121100, 1.894004027173588700, 1.893880803104942600, - 1.893757509403713100, - 1.893634146074433500, 1.893510713121639300, 1.893387210549869000, - 1.893263638363663400, - 1.893139996567565900, 1.893016285166122500, 1.892892504163881600, - 1.892768653565394300, - 1.892644733375214300, 1.892520743597897700, 1.892396684238003300, - 1.892272555300092300, - 1.892148356788728700, 1.892024088708479200, 1.891899751063912200, - 1.891775343859599400, - 1.891650867100115300, 1.891526320790036100, 1.891401704933941100, - 1.891277019536412400, - 1.891152264602033800, 1.891027440135392600, 1.890902546141078000, - 1.890777582623682300, - 1.890652549587799700, 1.890527447038027300, 1.890402274978965100, - 1.890277033415215200, - 1.890151722351382200, 1.890026341792073500, 1.889900891741899100, - 1.889775372205471300, - 1.889649783187405100, 1.889524124692318200, 1.889398396724830500, - 1.889272599289564900, - 1.889146732391146400, 1.889020796034202700, 1.888894790223364600, - 1.888768714963264400, - 1.888642570258537700, 1.888516356113822700, 1.888390072533759700, - 1.888263719522991900, - 1.888137297086165000, 1.888010805227927000, 1.887884243952928600, - 1.887757613265823400, - 1.887630913171267000, 1.887504143673917700, 1.887377304778437000, - 1.887250396489487800, - 1.887123418811736500, 1.886996371749851700, 1.886869255308504200, - 1.886742069492368000, - 1.886614814306119400, 1.886487489754437300, 1.886360095842002600, - 1.886232632573499700, - 1.886105099953614900, 1.885977497987037000, 1.885849826678457800, - 1.885722086032571200, - 1.885594276054074300, 1.885466396747665700, 1.885338448118047700, - 1.885210430169924200, - 1.885082342908002400, 1.884954186336991400, 1.884825960461603100, - 1.884697665286552400, - 1.884569300816556000, 1.884440867056333700, 1.884312364010607600, - 1.884183791684102400, - 1.884055150081545200, 1.883926439207665800, 1.883797659067196800, - 1.883668809664872600, - 1.883539891005431100, 1.883410903093611900, 1.883281845934157800, - 1.883152719531813800, - 1.883023523891327300, 1.882894259017448900, 1.882764924914930700, - 1.882635521588528400, - 1.882506049042999700, 1.882376507283104900, 1.882246896313606800, - 1.882117216139270700, - 1.881987466764865100, 1.881857648195159900, 1.881727760434928500, - 1.881597803488946500, - 1.881467777361992100, 1.881337682058845700, 1.881207517584290600, - 1.881077283943112900, - 1.880946981140100500, 1.880816609180044700, 1.880686168067738500, - 1.880555657807977800, - 1.880425078405561600, 1.880294429865290600, 1.880163712191968300, - 1.880032925390400900, - 1.879902069465397200, 1.879771144421768200, 1.879640150264327600, - 1.879509086997891900, - 1.879377954627279700, 1.879246753157312700, 1.879115482592814500, - 1.878984142938611600, - 1.878852734199532900, 1.878721256380410100, 1.878589709486077300, - 1.878458093521370800, - 1.878326408491130200, 1.878194654400196600, 1.878062831253414900, - 1.877930939055631100, - 1.877798977811695200, 1.877666947526458700, 1.877534848204775800, - 1.877402679851504000, - 1.877270442471502100, 1.877138136069632400, 1.877005760650759500, - 1.876873316219750200, - 1.876740802781474500, 1.876608220340804100, 1.876475568902614000, - 1.876342848471781200, - 1.876210059053185600, 1.876077200651709500, 1.875944273272237800, - 1.875811276919657500, - 1.875678211598858800, 1.875545077314734000, 1.875411874072178100, - 1.875278601876088700, - 1.875145260731365700, 1.875011850642911600, 1.874878371615631900, - 1.874744823654434000, - 1.874611206764227800, 1.874477520949926500, 1.874343766216444800, - 1.874209942568701100, - 1.874076050011615400, 1.873942088550110400, 1.873808058189111700, - 1.873673958933546900, - 1.873539790788347100, 1.873405553758444600, 1.873271247848775400, - 1.873136873064277000, - 1.873002429409890600, 1.872867916890558900, 1.872733335511227700, - 1.872598685276845000, - 1.872463966192361900, 1.872329178262731200, 1.872194321492908700, - 1.872059395887852900, - 1.871924401452524700, 1.871789338191887100, 1.871654206110906500, - 1.871519005214550700, - 1.871383735507791100, 1.871248396995601300, 1.871112989682956800, - 1.870977513574836500, - 1.870841968676221400, 1.870706354992095000, 1.870570672527443600, - 1.870434921287255700, - 1.870299101276522400, 1.870163212500237900, 1.870027254963397800, - 1.869891228671001200, - 1.869755133628049600, 1.869618969839546500, 1.869482737310498100, - 1.869346436045913800, - 1.869210066050804600, 1.869073627330184700, 1.868937119889070300, - 1.868800543732480600, - 1.868663898865437200, 1.868527185292963700, 1.868390403020087100, - 1.868253552051836200, - 1.868116632393243000, 1.867979644049341200, 1.867842587025167800, - 1.867705461325761800, - 1.867568266956164800, 1.867431003921421500, 1.867293672226578300, - 1.867156271876684500, - 1.867018802876792200, 1.866881265231955500, 1.866743658947231300, - 1.866605984027679000, - 1.866468240478360600, 1.866330428304340300, 1.866192547510685300, - 1.866054598102465000, - 1.865916580084751500, 1.865778493462619100, 1.865640338241145100, - 1.865502114425408900, - 1.865363822020492700, 1.865225461031480900, 1.865087031463460900, - 1.864948533321522300, - 1.864809966610757400, 1.864671331336260600, 1.864532627503129100, - 1.864393855116463200, - 1.864255014181364500, 1.864116104702938000, 1.863977126686291200, - 1.863838080136534000, - 1.863698965058778300, 1.863559781458139300, 1.863420529339734100, - 1.863281208708683000, - 1.863141819570107900, 1.863002361929134500, 1.862862835790889400, - 1.862723241160503300, - 1.862583578043108100, 1.862443846443839300, 1.862304046367834200, - 1.862164177820232700, - 1.862024240806177800, 1.861884235330814300, 1.861744161399289600, - 1.861604019016754200, - 1.861463808188360500, 1.861323528919263800, 1.861183181214621600, - 1.861042765079594200, - 1.860902280519344500, 1.860761727539037300, 1.860621106143840500, - 1.860480416338924600, - 1.860339658129461800, 1.860198831520627900, 1.860057936517600700, - 1.859916973125560000, - 1.859775941349689000, 1.859634841195173100, 1.859493672667199800, - 1.859352435770959900, - 1.859211130511645900, 1.859069756894453400, 1.858928314924580300, - 1.858786804607227100, - 1.858645225947596300, 1.858503578950893900, 1.858361863622327400, - 1.858220079967107600, - 1.858078227990447300, 1.857936307697561900, 1.857794319093669900, - 1.857652262183991000, - 1.857510136973749000, 1.857367943468169100, 1.857225681672479300, - 1.857083351591910300, - 1.856940953231694900, 1.856798486597069000, 1.856655951693270600, - 1.856513348525540300, - 1.856370677099121100, 1.856227937419258700, 1.856085129491201100, - 1.855942253320199200, - 1.855799308911506100, 1.855656296270377300, 1.855513215402071000, - 1.855370066311848000, - 1.855226849004971500, 1.855083563486706900, 1.854940209762322700, - 1.854796787837089500, - 1.854653297716280400, 1.854509739405171300, 1.854366112909040300, - 1.854222418233168400, - 1.854078655382838300, 1.853934824363336200, 1.853790925179950500, - 1.853646957837971500, - 1.853502922342692600, 1.853358818699409900, 1.853214646913421200, - 1.853070406990027500, - 1.852926098934532200, 1.852781722752241000, 1.852637278448462200, - 1.852492766028506400, - 1.852348185497687300, 1.852203536861320600, 1.852058820124724300, - 1.851914035293219700, - 1.851769182372129600, 1.851624261366780400, 1.851479272282500000, - 1.851334215124619300, - 1.851189089898471800, 1.851043896609393400, 1.850898635262721900, - 1.850753305863798800, - 1.850607908417967200, 1.850462442930572900, 1.850316909406964200, - 1.850171307852492200, - 1.850025638272510000, 1.849879900672373600, 1.849734095057441200, - 1.849588221433073700, - 1.849442279804634600, 1.849296270177489800, 1.849150192557007300, - 1.849004046948558200, - 1.848857833357515900, 1.848711551789256300, 1.848565202249157400, - 1.848418784742600400, - 1.848272299274968500, 1.848125745851647800, 1.847979124478026100, - 1.847832435159495000, - 1.847685677901447200, 1.847538852709279100, 1.847391959588388300, - 1.847244998544176300, - 1.847097969582046200, 1.846950872707404000, 1.846803707925657600, - 1.846656475242218300, - 1.846509174662499300, 1.846361806191916000, 1.846214369835887500, - 1.846066865599834000, - 1.845919293489179000, 1.845771653509348200, 1.845623945665770100, - 1.845476169963875500, - 1.845328326409097400, 1.845180415006871800, 1.845032435762637100, - 1.844884388681833800, - 1.844736273769905300, 1.844588091032297400, 1.844439840474458200, - 1.844291522101838800, - 1.844143135919891900, 1.843994681934073600, 1.843846160149842200, - 1.843697570572658200, - 1.843548913207985000, 1.843400188061288000, 1.843251395138035800, - 1.843102534443698900, - 1.842953605983750400, 1.842804609763666100, 1.842655545788924000, - 1.842506414065004900, - 1.842357214597392100, 1.842207947391570900, 1.842058612453029600, - 1.841909209787258900, - 1.841759739399751800, 1.841610201296003800, 1.841460595481513100, - 1.841310921961780500, - 1.841161180742308500, 1.841011371828603200, 1.840861495226172600, - 1.840711550940526700, - 1.840561538977179200, 1.840411459341645400, 1.840261312039443100, - 1.840111097076092800, - 1.839960814457117600, 1.839810464188043100, 1.839660046274397100, - 1.839509560721709800, - 1.839359007535514400, 1.839208386721346500, 1.839057698284743500, - 1.838906942231246100, - 1.838756118566397200, 1.838605227295741800, 1.838454268424828400, - 1.838303241959206700, - 1.838152147904429800, 1.838000986266052900, 1.837849757049633900, - 1.837698460260732900, - 1.837547095904912700, 1.837395663987738700, 1.837244164514778600, - 1.837092597491602100, - 1.836940962923782700, 1.836789260816895000, 1.836637491176516600, - 1.836485654008228200, - 1.836333749317611700, 1.836181777110252900, 1.836029737391738700, - 1.835877630167659800, - 1.835725455443608200, 1.835573213225179400, 1.835420903517970500, - 1.835268526327581900, - 1.835116081659615700, 1.834963569519677100, 1.834810989913373500, - 1.834658342846314800, - 1.834505628324113200, 1.834352846352383700, 1.834199996936744000, - 1.834047080082813300, - 1.833894095796214400, 1.833741044082571900, 1.833587924947513100, - 1.833434738396668000, - 1.833281484435668400, 1.833128163070149300, 1.832974774305747600, - 1.832821318148103500, - 1.832667794602858400, 1.832514203675657600, 1.832360545372147900, - 1.832206819697979000, - 1.832053026658802700, 1.831899166260273700, 1.831745238508049300, - 1.831591243407788300, - 1.831437180965153100, 1.831283051185808300, 1.831128854075420500, - 1.830974589639659000, - 1.830820257884196100, 1.830665858814705600, 1.830511392436864800, - 1.830356858756352800, - 1.830202257778851300, 1.830047589510044500, 1.829892853955619200, - 1.829738051121264600, - 1.829583181012672400, 1.829428243635536500, 1.829273238995553700, - 1.829118167098423100, - 1.828963027949846100, 1.828807821555527000, 1.828652547921171900, - 1.828497207052490100, - 1.828341798955192900, 1.828186323634994200, 1.828030781097610400, - 1.827875171348760400, - 1.827719494394165500, 1.827563750239549400, 1.827407938890638600, - 1.827252060353161500, - 1.827096114632849700, 1.826940101735436500, 1.826784021666658400, - 1.826627874432253700, - 1.826471660037963800, 1.826315378489531800, 1.826159029792704400, - 1.826002613953229500, - 1.825846130976858100, 1.825689580869344100, 1.825532963636443000, - 1.825376279283913200, - 1.825219527817515800, 1.825062709243013800, 1.824905823566173000, - 1.824748870792761900, - 1.824591850928550800, 1.824434763979313300, 1.824277609950824700, - 1.824120388848863300, - 1.823963100679209600, 1.823805745447646600, 1.823648323159960100, - 1.823490833821937600, - 1.823333277439369600, 1.823175654018049300, 1.823017963563772000, - 1.822860206082335300, - 1.822702381579539800, 1.822544490061187800, 1.822386531533084900, - 1.822228506001038800, - 1.822070413470859600, 1.821912253948359700, 1.821754027439354400, - 1.821595733949661100, - 1.821437373485099900, 1.821278946051493100, 1.821120451654665700, - 1.820961890300445400, - 1.820803261994661500, 1.820644566743146800, 1.820485804551735800, - 1.820326975426265600, - 1.820168079372576300, 1.820009116396509800, 1.819850086503910700, - 1.819690989700625900, - 1.819531825992505500, 1.819372595385401000, 1.819213297885166900, - 1.819053933497660300, - 1.818894502228740600, 1.818735004084269600, 1.818575439070111200, - 1.818415807192132600, - 1.818256108456203000, 1.818096342868193800, 1.817936510433979300, - 1.817776611159436000, - 1.817616645050443000, 1.817456612112881900, 1.817296512352636300, - 1.817136345775592900, - 1.816976112387640700, 1.816815812194670700, 1.816655445202576700, - 1.816495011417255300, - 1.816334510844604700, 1.816173943490526400, 1.816013309360923900, - 1.815852608461703300, - 1.815691840798773000, 1.815531006378043900, 1.815370105205429600, - 1.815209137286846200, - 1.815048102628211500, 1.814887001235446600, 1.814725833114474700, - 1.814564598271221300, - 1.814403296711615000, 1.814241928441585800, 1.814080493467067300, - 1.813918991793994900, - 1.813757423428306000, 1.813595788375941700, 1.813434086642844400, - 1.813272318234959700, - 1.813110483158235400, 1.812948581418621500, 1.812786613022070700, - 1.812624577974538000, - 1.812462476281981200, 1.812300307950360300, 1.812138072985637800, - 1.811975771393778300, - 1.811813403180749300, 1.811650968352521000, 1.811488466915065000, - 1.811325898874356800, - 1.811163264236372900, 1.811000563007093100, 1.810837795192499400, - 1.810674960798576600, - 1.810512059831311400, 1.810349092296693400, 1.810186058200714100, - 1.810022957549368000, - 1.809859790348652200, 1.809696556604565300, 1.809533256323109200, - 1.809369889510288100, - 1.809206456172108200, 1.809042956314578900, 1.808879389943711200, - 1.808715757065519200, - 1.808552057686019200, 1.808388291811230000, 1.808224459447172800, - 1.808060560599871200, - 1.807896595275351200, 1.807732563479641300, 1.807568465218772900, - 1.807404300498778800, - 1.807240069325695400, 1.807075771705560800, 1.806911407644415700, - 1.806746977148303300, - 1.806582480223269500, 1.806417916875362000, 1.806253287110631600, - 1.806088590935131000, - 1.805923828354915900, 1.805758999376044100, 1.805594104004575800, - 1.805429142246573600, - 1.805264114108102900, 1.805099019595231200, 1.804933858714028700, - 1.804768631470567500, - 1.804603337870923000, 1.804437977921172300, 1.804272551627395400, - 1.804107058995674500, - 1.803941500032094200, 1.803775874742741500, 1.803610183133706400, - 1.803444425211080400, - 1.803278600980958300, 1.803112710449436900, 1.802946753622615400, - 1.802780730506595700, - 1.802614641107481900, 1.802448485431380900, 1.802282263484401300, - 1.802115975272655000, - 1.801949620802255600, 1.801783200079319900, 1.801616713109966300, - 1.801450159900316300, - 1.801283540456493700, 1.801116854784624400, 1.800950102890836800, - 1.800783284781262200, - 1.800616400462033800, 1.800449449939287800, 1.800282433219162000, - 1.800115350307797600, - 1.799948201211337500, 1.799780985935927300, 1.799613704487715200, - 1.799446356872851400, - 1.799278943097489100, 1.799111463167783400, 1.798943917089892000, - 1.798776304869975200, - 1.798608626514195800, 1.798440882028718500, 1.798273071419711000, - 1.798105194693343500, - 1.797937251855787700, 1.797769242913218800, 1.797601167871813800, - 1.797433026737752700, - 1.797264819517217200, 1.797096546216391900, 1.796928206841463800, - 1.796759801398622100, - 1.796591329894058800, 1.796422792333968000, 1.796254188724546500, - 1.796085519071992900, - 1.795916783382509200, 1.795747981662299200, 1.795579113917569200, - 1.795410180154527900, - 1.795241180379386800, 1.795072114598359200, 1.794902982817661500, - 1.794733785043511900, - 1.794564521282131300, 1.794395191539743400, 1.794225795822573600, - 1.794056334136850300, - 1.793886806488804100, 1.793717212884667900, 1.793547553330677300, - 1.793377827833070100, - 1.793208036398086900, 1.793038179031970000, 1.792868255740965000, - 1.792698266531319400, - 1.792528211409282900, 1.792358090381108300, 1.792187903453050100, - 1.792017650631366100, - 1.791847331922315600, 1.791676947332161000, 1.791506496867166600, - 1.791335980533599300, - 1.791165398337728900, 1.790994750285827000, 1.790824036384167900, - 1.790653256639028100, - 1.790482411056686800, 1.790311499643425500, 1.790140522405528200, - 1.789969479349281100, - 1.789798370480973000, 1.789627195806895200, 1.789455955333341100, - 1.789284649066606800, - 1.789113277012990900, 1.788941839178794100, 1.788770335570319700, - 1.788598766193873600, - 1.788427131055763600, 1.788255430162300400, 1.788083663519796800, - 1.787911831134568300, - 1.787739933012932900, 1.787567969161210300, 1.787395939585723500, - 1.787223844292797500, - 1.787051683288759500, 1.786879456579939700, 1.786707164172670200, - 1.786534806073285700, - 1.786362382288123400, 1.786189892823522700, 1.786017337685825700, - 1.785844716881376700, - 1.785672030416522300, 1.785499278297612000, 1.785326460530997300, - 1.785153577123032000, - 1.784980628080072900, 1.784807613408478300, 1.784634533114609800, - 1.784461387204831400, - 1.784288175685508700, 1.784114898563010200, 1.783941555843707100, - 1.783768147533972200, - 1.783594673640181800, 1.783421134168713800, 1.783247529125948900, - 1.783073858518269700, - 1.782900122352062000, 1.782726320633713200, 1.782552453369613800, - 1.782378520566156200, - 1.782204522229735600, 1.782030458366749200, 1.781856328983596900, - 1.781682134086680900, - 1.781507873682406200, 1.781333547777179200, 1.781159156377410100, - 1.780984699489510200, - 1.780810177119894100, 1.780635589274978600, 1.780460935961182300, - 1.780286217184927000, - 1.780111432952636600, 1.779936583270737400, 1.779761668145658300, - 1.779586687583830200, - 1.779411641591686500, 1.779236530175663600, 1.779061353342199500, - 1.778886111097735000, - 1.778710803448713400, 1.778535430401580100, 1.778359991962783000, - 1.778184488138772900, - 1.778008918936002000, 1.777833284360925900, 1.777657584420002000, - 1.777481819119690200, - 1.777305988466453000, 1.777130092466755200, 1.776954131127064200, - 1.776778104453849100, - 1.776602012453582400, 1.776425855132738100, 1.776249632497793200, - 1.776073344555227000, - 1.775896991311520800, 1.775720572773158900, 1.775544088946627600, - 1.775367539838415700, - 1.775190925455014400, 1.775014245802917200, 1.774837500888620400, - 1.774660690718622000, - 1.774483815299423100, 1.774306874637527000, 1.774129868739439100, - 1.773952797611667100, - 1.773775661260722100, 1.773598459693116500, 1.773421192915365400, - 1.773243860933986400, - 1.773066463755499800, 1.772889001386427800, 1.772711473833295200, - 1.772533881102629000, - 1.772356223200959100, 1.772178500134817100, 1.772000711910737700, - 1.771822858535257600, - 1.771644940014915700, 1.771466956356254000, 1.771288907565816000, - 1.771110793650148500, - 1.770932614615799800, 1.770754370469321400, 1.770576061217266500, - 1.770397686866191300, - 1.770219247422653700, 1.770040742893215000, 1.769862173284438000, - 1.769683538602888000, - 1.769504838855133100, 1.769326074047743700, 1.769147244187292200, - 1.768968349280353800, - 1.768789389333506000, 1.768610364353328600, 1.768431274346403900, - 1.768252119319316400, - 1.768072899278653200, 1.767893614231003800, 1.767714264182959500, - 1.767534849141115100, - 1.767355369112067100, 1.767175824102414000, 1.766996214118757800, - 1.766816539167701800, - 1.766636799255852300, 1.766456994389817600, 1.766277124576209000, - 1.766097189821639300, - 1.765917190132724600, 1.765737125516083000, 1.765556995978334800, - 1.765376801526102700, - 1.765196542166012100, 1.765016217904690900, 1.764835828748768400, - 1.764655374704877700, - 1.764474855779653200, 1.764294271979732100, 1.764113623311754000, - 1.763932909782361100, - 1.763752131398197200, 1.763571288165909400, 1.763390380092146400, - 1.763209407183560200, - 1.763028369446804500, 1.762847266888535100, 1.762666099515411100, - 1.762484867334093400, - 1.762303570351245300, 1.762122208573532600, 1.761940782007623600, - 1.761759290660188400, - 1.761577734537900500, 1.761396113647435000, 1.761214427995469100, - 1.761032677588683800, - 1.760850862433760700, 1.760668982537384900, 1.760487037906243600, - 1.760305028547026500, - 1.760122954466425600, 1.759940815671135100, 1.759758612167851700, - 1.759576343963274600, - 1.759394011064105100, 1.759211613477047200, 1.759029151208807400, - 1.758846624266093800, - 1.758664032655617500, 1.758481376384092500, 1.758298655458233600, - 1.758115869884759700, - 1.757933019670390800, 1.757750104821850000, 1.757567125345862700, - 1.757384081249156100, - 1.757200972538460700, 1.757017799220508500, 1.756834561302034400, - 1.756651258789775800, - 1.756467891690471700, 1.756284460010864200, 1.756100963757697900, - 1.755917402937718900, - 1.755733777557676500, 1.755550087624322000, 1.755366333144409200, - 1.755182514124693900, - 1.754998630571935200, 1.754814682492893600, 1.754630669894332600, - 1.754446592783017500, - 1.754262451165716300, 1.754078245049199600, 1.753893974440240000, - 1.753709639345612600, - 1.753525239772095100, 1.753340775726466700, 1.753156247215510400, - 1.752971654246010300, - 1.752786996824753600, 1.752602274958529500, 1.752417488654129700, - 1.752232637918348200, - 1.752047722757981600, 1.751862743179828600, 1.751677699190690400, - 1.751492590797370600, - 1.751307418006674800, 1.751122180825411800, 1.750936879260391700, - 1.750751513318427700, - 1.750566083006335600, 1.750380588330932500, 1.750195029299038900, - 1.750009405917477100, - 1.749823718193071800, 1.749637966132650900, 1.749452149743043100, - 1.749266269031080700, - 1.749080324003598100, 1.748894314667431800, 1.748708241029421000, - 1.748522103096407300, - 1.748335900875233900, 1.748149634372747200, 1.747963303595795500, - 1.747776908551230000, - 1.747590449245904000, 1.747403925686672500, 1.747217337880393900, - 1.747030685833928200, - 1.746843969554138200, 1.746657189047889200, 1.746470344322048200, - 1.746283435383485100, - 1.746096462239072000, 1.745909424895683200, 1.745722323360195900, - 1.745535157639489100, - 1.745347927740444200, 1.745160633669945200, 1.744973275434878300, - 1.744785853042132300, - 1.744598366498598200, 1.744410815811169300, 1.744223200986741100, - 1.744035522032211900, - 1.743847778954482000, 1.743659971760454200, 1.743472100457033700, - 1.743284165051127700, - 1.743096165549646400, 1.742908101959502100, 1.742719974287608900, - 1.742531782540884100, - 1.742343526726246800, 1.742155206850618800, 1.741966822920923800, - 1.741778374944088000, - 1.741589862927040800, 1.741401286876712800, 1.741212646800037300, - 1.741023942703950200, - 1.740835174595389600, 1.740646342481295900, 1.740457446368612000, - 1.740268486264283200, - 1.740079462175256900, 1.739890374108482600, 1.739701222070913200, - 1.739512006069502800, - 1.739322726111208500, 1.739133382202989500, 1.738943974351807600, - 1.738754502564626700, - 1.738564966848413100, 1.738375367210135400, 1.738185703656765200, - 1.737995976195275000, - 1.737806184832640900, 1.737616329575841300, 1.737426410431856200, - 1.737236427407668800, - 1.737046380510263800, 1.736856269746629000, 1.736666095123754000, - 1.736475856648631400, - 1.736285554328254900, 1.736095188169622500, 1.735904758179732400, - 1.735714264365586700, - 1.735523706734189100, 1.735333085292545900, 1.735142400047666100, - 1.734951651006560100, - 1.734760838176241400, 1.734569961563725600, 1.734379021176030600, - 1.734188017020177100, - 1.733996949103187500, 1.733805817432086900, 1.733614622013902600, - 1.733423362855664100, - 1.733232039964403900, 1.733040653347156300, 1.732849203010957900, - 1.732657688962847600, - 1.732466111209867200, 1.732274469759060200, 1.732082764617472800, - 1.731890995792153600, - 1.731699163290153100, 1.731507267118524500, 1.731315307284323700, - 1.731123283794607800, - 1.730931196656437600, 1.730739045876875200, 1.730546831462985500, - 1.730354553421835600, - 1.730162211760495300, 1.729969806486036500, 1.729777337605533000, - 1.729584805126061400, - 1.729392209054700900, 1.729199549398532400, 1.729006826164639400, - 1.728814039360108100, - 1.728621188992026400, 1.728428275067485100, 1.728235297593577100, - 1.728042256577397200, - 1.727849152026043500, 1.727655983946615700, 1.727462752346216000, - 1.727269457231948900, - 1.727076098610921500, 1.726882676490243000, 1.726689190877025000, - 1.726495641778381200, - 1.726302029201427900, 1.726108353153283900, 1.725914613641069900, - 1.725720810671909300, - 1.725526944252927700, 1.725333014391252900, 1.725139021094015200, - 1.724944964368347000, - 1.724750844221383500, 1.724556660660261800, 1.724362413692121400, - 1.724168103324104300, - 1.723973729563354600, 1.723779292417019200, 1.723584791892246700, - 1.723390227996188600, - 1.723195600735998100, 1.723000910118831300, 1.722806156151846400, - 1.722611338842204000, - 1.722416458197066900, 1.722221514223600100, 1.722026506928971500, - 1.721831436320350800, - 1.721636302404910200, 1.721441105189824000, 1.721245844682269600, - 1.721050520889425600, - 1.720855133818473900, 1.720659683476597900, 1.720464169870984200, - 1.720268593008821100, - 1.720072952897299100, 1.719877249543611900, 1.719681482954954500, - 1.719485653138524800, - 1.719289760101522900, 1.719093803851151400, 1.718897784394614900, - 1.718701701739120400, - 1.718505555891877400, 1.718309346860097600, 1.718113074650995200, - 1.717916739271786500, - 1.717720340729689700, 1.717523879031926500, 1.717327354185719900, - 1.717130766198295700, - 1.716934115076881800, 1.716737400828708400, 1.716540623461008100, - 1.716343782981016200, - 1.716146879395969500, 1.715949912713108100, 1.715752882939673300, - 1.715555790082909900, - 1.715358634150064000, 1.715161415148384500, 1.714964133085122900, - 1.714766787967532600, - 1.714569379802868900, 1.714371908598390800, 1.714174374361358000, - 1.713976777099033700, - 1.713779116818682900, 1.713581393527573000, 1.713383607232973600, - 1.713185757942156800, - 1.712987845662396800, 1.712789870400970700, 1.712591832165157200, - 1.712393730962237500, - 1.712195566799495500, 1.711997339684216700, 1.711799049623689900, - 1.711600696625205300, - 1.711402280696055800, 1.711203801843536700, 1.711005260074945200, - 1.710806655397581600, - 1.710607987818747700, 1.710409257345748100, 1.710210463985889500, - 1.710011607746480600, - 1.709812688634833300, 1.709613706658261100, 1.709414661824080000, - 1.709215554139608400, - 1.709016383612166600, 1.708817150249077900, 1.708617854057667300, - 1.708418495045262300, - 1.708219073219193300, 1.708019588586791700, 1.707820041155392500, - 1.707620430932332400, - 1.707420757924950300, 1.707221022140587900, 1.707021223586588700, - 1.706821362270298600, - 1.706621438199066300, 1.706421451380242000, 1.706221401821179200, - 1.706021289529232800, - 1.705821114511760300, 1.705620876776121600, 1.705420576329679000, - 1.705220213179796900, - 1.705019787333842200, 1.704819298799183700, 1.704618747583193100, - 1.704418133693243800, - 1.704217457136711900, 1.704016717920976000, 1.703815916053416300, - 1.703615051541415900, - 1.703414124392360000, 1.703213134613636100, 1.703012082212634000, - 1.702810967196746000, - 1.702609789573366300, 1.702408549349891500, 1.702207246533721000, - 1.702005881132255800, - 1.701804453152900000, 1.701602962603059100, 1.701401409490141300, - 1.701199793821557300, - 1.700998115604720000, 1.700796374847044300, 1.700594571555948100, - 1.700392705738850400, - 1.700190777403173700, 1.699988786556342300, 1.699786733205783000, - 1.699584617358924400, - 1.699382439023197700, 1.699180198206036600, 1.698977894914877100, - 1.698775529157156700, - 1.698573100940316400, 1.698370610271798800, 1.698168057159048700, - 1.697965441609513300, - 1.697762763630642700, 1.697560023229888200, 1.697357220414704500, - 1.697154355192547900, - 1.696951427570877000, 1.696748437557152900, 1.696545385158839200, - 1.696342270383401200, - 1.696139093238307400, 1.695935853731027600, 1.695732551869034300, - 1.695529187659802400, - 1.695325761110809200, 1.695122272229534000, 1.694918721023458600, - 1.694715107500066800, - 1.694511431666845000, 1.694307693531282000, 1.694103893100868100, - 1.693900030383096900, - 1.693696105385463800, 1.693492118115466500, 1.693288068580604900, - 1.693083956788381500, - 1.692879782746300700, 1.692675546461869900, 1.692471247942597600, - 1.692266887195995600, - 1.692062464229577600, 1.691857979050859900, 1.691653431667360600, - 1.691448822086600400, - 1.691244150316102000, 1.691039416363390800, 1.690834620235994300, - 1.690629761941442100, - 1.690424841487266700, 1.690219858881001800, 1.690014814130184300, - 1.689809707242353200, - 1.689604538225049700, 1.689399307085817300, 1.689194013832201500, - 1.688988658471750600, - 1.688783241012014700, 1.688577761460546800, 1.688372219824901400, - 1.688166616112636100, - 1.687960950331309800, 1.687755222488484600, 1.687549432591724400, - 1.687343580648595700, - 1.687137666666667100, 1.686931690653509000, 1.686725652616694900, - 1.686519552563800400, - 1.686313390502403000, 1.686107166440082600, 1.685900880384421800, - 1.685694532343004600, - 1.685488122323418400, 1.685281650333251900, 1.685075116380096800, - 1.684868520471546600, - 1.684661862615197000, 1.684455142818646700, 1.684248361089495800, - 1.684041517435347400, - 1.683834611863806100, 1.683627644382479800, 1.683420614998977900, - 1.683213523720911800, - 1.683006370555896400, 1.682799155511547600, 1.682591878595484300, - 1.682384539815327400, - 1.682177139178700400, 1.681969676693228600, 1.681762152366539600, - 1.681554566206263900, - 1.681346918220033800, 1.681139208415483700, 1.680931436800250600, - 1.680723603381973500, - 1.680515708168294200, 1.680307751166856300, 1.680099732385305300, - 1.679891651831290100, - 1.679683509512460900, 1.679475305436470600, 1.679267039610974300, - 1.679058712043629300, - 1.678850322742095200, 1.678641871714033900, 1.678433358967109400, - 1.678224784508988400, - 1.678016148347339300, 1.677807450489833300, 1.677598690944143400, - 1.677389869717945000, - 1.677180986818916300, 1.676972042254736900, 1.676763036033089600, - 1.676553968161658600, - 1.676344838648130600, 1.676135647500194700, 1.675926394725542700, - 1.675717080331867900, - 1.675507704326866200, 1.675298266718235900, 1.675088767513677200, - 1.674879206720892900, - 1.674669584347587800, 1.674459900401469700, 1.674250154890247300, - 1.674040347821632800, - 1.673830479203340000, 1.673620549043085500, 1.673410557348587600, - 1.673200504127567000, - 1.672990389387746700, 1.672780213136852300, 1.672569975382611300, - 1.672359676132753500, - 1.672149315395010900, 1.671938893177118000, 1.671728409486811500, - 1.671517864331830000, - 1.671307257719914800, 1.671096589658809500, 1.670885860156259300, - 1.670675069220012500, - 1.670464216857819200, 1.670253303077431800, 1.670042327886605200, - 1.669831291293095900, - 1.669620193304663500, 1.669409033929069500, 1.669197813174077200, - 1.668986531047453000, - 1.668775187556965000, 1.668563782710383600, 1.668352316515481700, - 1.668140788980034400, - 1.667929200111818400, 1.667717549918614100, 1.667505838408202700, - 1.667294065588368100, - 1.667082231466896900, 1.666870336051577800, 1.666658379350201000, - 1.666446361370560000, - 1.666234282120450100, 1.666022141607668600, 1.665809939840015500, - 1.665597676825292700, - 1.665385352571304500, 1.665172967085857700, 1.664960520376761000, - 1.664748012451825200, - 1.664535443318863900, 1.664322812985692600, 1.664110121460129000, - 1.663897368749993400, - 1.663684554863107800, 1.663471679807296800, 1.663258743590387400, - 1.663045746220208600, - 1.662832687704591800, 1.662619568051370500, 1.662406387268380100, - 1.662193145363459100, - 1.661979842344447600, 1.661766478219188300, 1.661553052995526000, - 1.661339566681307600, - 1.661126019284382200, 1.660912410812601900, 1.660698741273819700, - 1.660485010675892400, - 1.660271219026677700, 1.660057366334036300, 1.659843452605831200, - 1.659629477849926800, - 1.659415442074190900, 1.659201345286492900, 1.658987187494704200, - 1.658772968706699000, - 1.658558688930353400, 1.658344348173546300, 1.658129946444157700, - 1.657915483750071100, - 1.657700960099171200, 1.657486375499345900, 1.657271729958484500, - 1.657057023484479000, - 1.656842256085223800, 1.656627427768615000, 1.656412538542551200, - 1.656197588414933600, - 1.655982577393664700, 1.655767505486650500, 1.655552372701798200, - 1.655337179047017700, - 1.655121924530220900, 1.654906609159322500, 1.654691232942238500, - 1.654475795886888300, - 1.654260298001192200, 1.654044739293073900, 1.653829119770458900, - 1.653613439441274500, - 1.653397698313451300, 1.653181896394921000, 1.652966033693617800, - 1.652750110217479100, - 1.652534125974443000, 1.652318080972451400, 1.652101975219447200, - 1.651885808723375900, - 1.651669581492185300, 1.651453293533826000, 1.651236944856249600, - 1.651020535467411200, - 1.650804065375267400, 1.650587534587776700, 1.650370943112901000, - 1.650154290958603300, - 1.649937578132849400, 1.649720804643607400, 1.649503970498847200, - 1.649287075706541200, - 1.649070120274664000, 1.648853104211192700, 1.648636027524106100, - 1.648418890221385400, - 1.648201692311014300, 1.647984433800978600, 1.647767114699266100, - 1.647549735013867000, - 1.647332294752774200, 1.647114793923981600, 1.646897232535486500, - 1.646679610595287900, - 1.646461928111387300, 1.646244185091788400, 1.646026381544496400, - 1.645808517477519700, - 1.645590592898868600, 1.645372607816555400, 1.645154562238594800, - 1.644936456173004000, - 1.644718289627801600, 1.644500062611009300, 1.644281775130650900, - 1.644063427194751600, - 1.643845018811340300, 1.643626549988446200, 1.643408020734102600, - 1.643189431056343700, - 1.642970780963206800, 1.642752070462730800, 1.642533299562957100, - 1.642314468271929300, - 1.642095576597693200, 1.641876624548297000, 1.641657612131790500, - 1.641438539356226500, - 1.641219406229659700, 1.641000212760146800, 1.640780958955747200, - 1.640561644824521700, - 1.640342270374534500, 1.640122835613851100, 1.639903340550539200, - 1.639683785192669600, - 1.639464169548314100, 1.639244493625547900, 1.639024757432447500, - 1.638804960977092100, - 1.638585104267562800, 1.638365187311943400, 1.638145210118319400, - 1.637925172694778800, - 1.637705075049411800, 1.637484917190310800, 1.637264699125570200, - 1.637044420863286600, - 1.636824082411559600, 1.636603683778490100, 1.636383224972181500, - 1.636162706000739300, - 1.635942126872271800, 1.635721487594888400, 1.635500788176702100, - 1.635280028625826900, - 1.635059208950379700, 1.634838329158479200, 1.634617389258246700, - 1.634396389257805700, - 1.634175329165281400, 1.633954208988801700, 1.633733028736496400, - 1.633511788416498000, - 1.633290488036940500, 1.633069127605960800, 1.632847707131697600, - 1.632626226622291700, - 1.632404686085886300, 1.632183085530627200, 1.631961424964661700, - 1.631739704396139900, - 1.631517923833213400, 1.631296083284036900, 1.631074182756766300, - 1.630852222259560700, - 1.630630201800580900, 1.630408121387990000, 1.630185981029953000, - 1.629963780734637400, - 1.629741520510213000, 1.629519200364851800, 1.629296820306727700, - 1.629074380344017100, - 1.628851880484898200, 1.628629320737551700, 1.628406701110161100, - 1.628184021610910700, - 1.627961282247988300, 1.627738483029583100, 1.627515623963887000, - 1.627292705059093700, - 1.627069726323399500, 1.626846687765002700, 1.626623589392103500, - 1.626400431212904800, - 1.626177213235611400, 1.625953935468430500, 1.625730597919571300, - 1.625507200597245500, - 1.625283743509666300, 1.625060226665050000, 1.624836650071614500, - 1.624613013737580000, - 1.624389317671169500, 1.624165561880607000, 1.623941746374119500, - 1.623717871159936300, - 1.623493936246288300, 1.623269941641409400, 1.623045887353534900, - 1.622821773390902700, - 1.622597599761753000, 1.622373366474327800, 1.622149073536871800, - 1.621924720957631300, - 1.621700308744855200, 1.621475836906794500, 1.621251305451702400, - 1.621026714387834300, - 1.620802063723447700, 1.620577353466802700, 1.620352583626160500, - 1.620127754209786100, - 1.619902865225945300, 1.619677916682906700, 1.619452908588941300, - 1.619227840952321800, - 1.619002713781323200, 1.618777527084222800, 1.618552280869300300, - 1.618326975144837000, - 1.618101609919117200, 1.617876185200426600, 1.617650700997053500, - 1.617425157317288200, - 1.617199554169423500, 1.616973891561754200, 1.616748169502577200, - 1.616522388000191500, - 1.616296547062898500, 1.616070646699001800, 1.615844686916807300, - 1.615618667724622700, - 1.615392589130757900, 1.615166451143525300, 1.614940253771239400, - 1.614713997022216900, - 1.614487680904776600, 1.614261305427239200, 1.614034870597928400, - 1.613808376425168900, - 1.613581822917288900, 1.613355210082617800, 1.613128537929487500, - 1.612901806466232200, - 1.612675015701188000, 1.612448165642693400, 1.612221256299089200, - 1.611994287678718100, - 1.611767259789925100, 1.611540172641057200, 1.611313026240463800, - 1.611085820596496600, - 1.610858555717509200, 1.610631231611857800, 1.610403848287899700, - 1.610176405753995800, - 1.609948904018508200, 1.609721343089801600, 1.609493722976242900, - 1.609266043686200700, - 1.609038305228046400, 1.608810507610153100, 1.608582650840896200, - 1.608354734928653800, - 1.608126759881805400, 1.607898725708732900, 1.607670632417820500, - 1.607442480017454700, - 1.607214268516024000, 1.606985997921919000, 1.606757668243532500, - 1.606529279489259600, - 1.606300831667497600, 1.606072324786645500, 1.605843758855105300, - 1.605615133881280700, - 1.605386449873577300, 1.605157706840403300, 1.604928904790168700, - 1.604700043731286200, - 1.604471123672170500, 1.604242144621237800, 1.604013106586907400, - 1.603784009577600100, - 1.603554853601739700, 1.603325638667751000, 1.603096364784061900, - 1.602867031959102100, - 1.602637640201303400, 1.602408189519099800, 1.602178679920927900, - 1.601949111415226000, - 1.601719484010434300, 1.601489797714996000, 1.601260052537355700, - 1.601030248485960900, - 1.600800385569260300, 1.600570463795705700, 1.600340483173750400, - 1.600110443711850300, - 1.599880345418463100, 1.599650188302049100, 1.599419972371070500, - 1.599189697633991400, - 1.598959364099278700, 1.598728971775401000, 1.598498520670828900, - 1.598268010794035900, - 1.598037442153496900, 1.597806814757689200, 1.597576128615092200, - 1.597345383734188000, - 1.597114580123460100, 1.596883717791394800, 1.596652796746479600, - 1.596421816997205500, - 1.596190778552064800, 1.595959681419551800, 1.595728525608163700, - 1.595497311126399300, - 1.595266037982759500, 1.595034706185747500, 1.594803315743869000, - 1.594571866665631700, - 1.594340358959544800, 1.594108792634120600, 1.593877167697873100, - 1.593645484159318200, - 1.593413742026974500, 1.593181941309362400, 1.592950082015004700, - 1.592718164152426000, - 1.592486187730153300, 1.592254152756715600, 1.592022059240644400, - 1.591789907190473100, - 1.591557696614737100, 1.591325427521974100, 1.591093099920724200, - 1.590860713819529400, - 1.590628269226933600, 1.590395766151483400, 1.590163204601727100, - 1.589930584586215500, - 1.589697906113501000, 1.589465169192139100, 1.589232373830686400, - 1.588999520037702300, - 1.588766607821748200, 1.588533637191387400, 1.588300608155185600, - 1.588067520721711000, - 1.587834374899533400, 1.587601170697224600, 1.587367908123358900, - 1.587134587186513000, - 1.586901207895265300, 1.586667770258196600, 1.586434274283889500, - 1.586200719980929200, - 1.585967107357902700, 1.585733436423399000, 1.585499707186010200, - 1.585265919654329300, - 1.585032073836952100, 1.584798169742476400, 1.584564207379502500, - 1.584330186756632200, - 1.584096107882470000, 1.583861970765622100, 1.583627775414697000, - 1.583393521838305700, - 1.583159210045060900, 1.582924840043577400, 1.582690411842472700, - 1.582455925450365600, - 1.582221380875877800, 1.581986778127632700, 1.581752117214255900, - 1.581517398144375800, - 1.581282620926621300, 1.581047785569625400, 1.580812892082021900, - 1.580577940472447200, - 1.580342930749539800, 1.580107862921940700, 1.579872736998292100, - 1.579637552987239100, - 1.579402310897428900, 1.579167010737510600, 1.578931652516135700, - 1.578696236241957200, - 1.578460761923630800, 1.578225229569814700, 1.577989639189168100, - 1.577753990790353500, - 1.577518284382034800, 1.577282519972878200, 1.577046697571552000, - 1.576810817186727000, - 1.576574878827075700, 1.576338882501273000, 1.576102828217995600, - 1.575866715985922500, - 1.575630545813735200, 1.575394317710116600, 1.575158031683752300, - 1.574921687743330300, - 1.574685285897539800, 1.574448826155072400, 1.574212308524622500, - 1.573975733014886000, - 1.573739099634561500, 1.573502408392348600, 1.573265659296950300, - 1.573028852357070800, - 1.572791987581417100, 1.572555064978698100, 1.572318084557624800, - 1.572081046326909900, - 1.571843950295269000, 1.571606796471419100, 1.571369584864080100, - 1.571132315481973200, - 1.570894988333822400, 1.570657603428353300, 1.570420160774294000, - 1.570182660380374600, - 1.569945102255327200, 1.569707486407886600, 1.569469812846788500, - 1.569232081580771900, - 1.568994292618577400, 1.568756445968948000, 1.568518541640628400, - 1.568280579642366000, - 1.568042559982909500, 1.567804482671010500, 1.567566347715422500, - 1.567328155124900800, - 1.567089904908203200, 1.566851597074089500, 1.566613231631321500, - 1.566374808588663300, - 1.566136327954881000, 1.565897789738742900, 1.565659193949019400, - 1.565420540594482800, - 1.565181829683907700, 1.564943061226071100, 1.564704235229751500, - 1.564465351703730400, - 1.564226410656790000, 1.563987412097716200, 1.563748356035296000, - 1.563509242478319000, - 1.563270071435576500, 1.563030842915862100, 1.562791556927971800, - 1.562552213480703300, - 1.562312812582856500, 1.562073354243233700, 1.561833838470639200, - 1.561594265273878800, - 1.561354634661761300, 1.561114946643096900, 1.560875201226698900, - 1.560635398421381400, - 1.560395538235961800, 1.560155620679258400, 1.559915645760092900, - 1.559675613487288200, - 1.559435523869669500, 1.559195376916064700, 1.558955172635302800, - 1.558714911036215700, - 1.558474592127637100, 1.558234215918402600, 1.557993782417350400, - 1.557753291633320500, - 1.557512743575155000, 1.557272138251698300, 1.557031475671796400, - 1.556790755844298400, - 1.556549978778054300, 1.556309144481917300, 1.556068252964741600, - 1.555827304235384500, - 1.555586298302704900, 1.555345235175563900, 1.555104114862824600, - 1.554862937373352500, - 1.554621702716015000, 1.554380410899681300, 1.554139061933223200, - 1.553897655825514600, - 1.553656192585431100, 1.553414672221850700, 1.553173094743653300, - 1.552931460159721100, - 1.552689768478938500, 1.552448019710191300, 1.552206213862368500, - 1.551964350944360100, - 1.551722430965059000, 1.551480453933359800, 1.551238419858159700, - 1.550996328748356800, - 1.550754180612852900, 1.550511975460550500, 1.550269713300355100, - 1.550027394141174000, - 1.549785017991916400, 1.549542584861493900, 1.549300094758820000, - 1.549057547692810600, - 1.548814943672383300, 1.548572282706457900, 1.548329564803956300, - 1.548086789973802700, - 1.547843958224923000, 1.547601069566245900, 1.547358124006701400, - 1.547115121555221700, - 1.546872062220741700, 1.546628946012197800, 1.546385772938528600, - 1.546142543008675300, - 1.545899256231580300, 1.545655912616188800, 1.545412512171447700, - 1.545169054906306200, - 1.544925540829715600, 1.544681969950629300, 1.544438342278002600, - 1.544194657820792800, - 1.543950916587959700, 1.543707118588464800, 1.543463263831272000, - 1.543219352325347200, - 1.542975384079658300, 1.542731359103175300, 1.542487277404870100, - 1.542243138993717000, - 1.541998943878692300, 1.541754692068774600, 1.541510383572944000, - 1.541266018400183200, - 1.541021596559476700, 1.540777118059811100, 1.540532582910175500, - 1.540287991119560600, - 1.540043342696959100, 1.539798637651366400, 1.539553875991779300, - 1.539309057727197300, - 1.539064182866621400, 1.538819251419055100, 1.538574263393503800, - 1.538329218798974800, - 1.538084117644477900, 1.537838959939025200, 1.537593745691629500, - 1.537348474911307300, - 1.537103147607076200, 1.536857763787956400, 1.536612323462969800, - 1.536366826641140800, - 1.536121273331495300, 1.535875663543061700, 1.535629997284870400, - 1.535384274565953600, - 1.535138495395346400, 1.534892659782085100, 1.534646767735208000, - 1.534400819263756400, - 1.534154814376772700, 1.533908753083302200, 1.533662635392391700, - 1.533416461313090100, - 1.533170230854448400, 1.532923944025520200, 1.532677600835360600, - 1.532431201293027000, - 1.532184745407578500, 1.531938233188077100, 1.531691664643585900, - 1.531445039783170500, - 1.531198358615898800, 1.530951621150840700, 1.530704827397067800, - 1.530457977363654000, - 1.530211071059675200, 1.529964108494209700, 1.529717089676337500, - 1.529470014615140800, - 1.529222883319703700, 1.528975695799112500, 1.528728452062455600, - 1.528481152118823700, - 1.528233795977309400, 1.527986383647006500, 1.527738915137012400, - 1.527491390456425600, - 1.527243809614346600, 1.526996172619878900, 1.526748479482126700, - 1.526500730210197200, - 1.526252924813199500, 1.526005063300244900, 1.525757145680446200, - 1.525509171962918800, - 1.525261142156779900, 1.525013056271149000, 1.524764914315147200, - 1.524516716297898300, - 1.524268462228527900, 1.524020152116163200, 1.523771785969934000, - 1.523523363798972000, - 1.523274885612411200, 1.523026351419387100, 1.522777761229038100, - 1.522529115050503600, - 1.522280412892925900, 1.522031654765448900, 1.521782840677218700, - 1.521533970637383800, - 1.521285044655094300, 1.521036062739502300, 1.520787024899762100, - 1.520537931145030400, - 1.520288781484465700, 1.520039575927228500, 1.519790314482481100, - 1.519540997159388300, - 1.519291623967116600, 1.519042194914835200, 1.518792710011714500, - 1.518543169266927600, - 1.518293572689648900, 1.518043920289055900, 1.517794212074327500, - 1.517544448054644500, - 1.517294628239190400, 1.517044752637150000, 1.516794821257710500, - 1.516544834110061600, - 1.516294791203394200, 1.516044692546901800, 1.515794538149779700, - 1.515544328021225500, - 1.515294062170438700, 1.515043740606620800, 1.514793363338975600, - 1.514542930376708600, - 1.514292441729027300, 1.514041897405141700, 1.513791297414263800, - 1.513540641765606800, - 1.513289930468387300, 1.513039163531823000, 1.512788340965133500, - 1.512537462777541200, - 1.512286528978270300, 1.512035539576546600, 1.511784494581598600, - 1.511533394002656100, - 1.511282237848951400, 1.511031026129719100, 1.510779758854195400, - 1.510528436031618900, - 1.510277057671229400, 1.510025623782270000, 1.509774134373984800, - 1.509522589455620600, - 1.509270989036425800, 1.509019333125651200, 1.508767621732549400, - 1.508515854866375100, - 1.508264032536385000, 1.508012154751837700, 1.507760221521994700, - 1.507508232856118200, - 1.507256188763473200, 1.507004089253327000, 1.506751934334948000, - 1.506499724017607900, - 1.506247458310579400, 1.505995137223137500, 1.505742760764559300, - 1.505490328944124200, - 1.505237841771113200, 1.504985299254809800, 1.504732701404498900, - 1.504480048229468000, - 1.504227339739006500, 1.503974575942405700, 1.503721756848958700, - 1.503468882467961600, - 1.503215952808711500, 1.502962967880507600, 1.502709927692651900, - 1.502456832254447600, - 1.502203681575200700, 1.501950475664218600, 1.501697214530810700, - 1.501443898184289200, - 1.501190526633967600, 1.500937099889161600, 1.500683617959188900, - 1.500430080853369500, - 1.500176488581024900, 1.499922841151479600, 1.499669138574058800, - 1.499415380858090800, - 1.499161568012905300, 1.498907700047834600, 1.498653776972212600, - 1.498399798795375000, - 1.498145765526660300, 1.497891677175408500, 1.497637533750961300, - 1.497383335262663300, - 1.497129081719860400, 1.496874773131900800, 1.496620409508134800, - 1.496365990857914600, - 1.496111517190594300, 1.495856988515530400, 1.495602404842080800, - 1.495347766179606400, - 1.495093072537469100, 1.494838323925033400, 1.494583520351665500, - 1.494328661826734200, - 1.494073748359609600, 1.493818779959664300, 1.493563756636272500, - 1.493308678398810800, - 1.493053545256657800, 1.492798357219194100, 1.492543114295801900, - 1.492287816495866200, - 1.492032463828773200, 1.491777056303911700, 1.491521593930672100, - 1.491266076718446900, - 1.491010504676631500, 1.490754877814621800, 1.490499196141816600, - 1.490243459667616600, - 1.489987668401424800, 1.489731822352645500, 1.489475921530685900, - 1.489219965944954300, - 1.488963955604861500, 1.488707890519820600, 1.488451770699245900, - 1.488195596152554800, - 1.487939366889165600, 1.487683082918499300, 1.487426744249978400, - 1.487170350893028500, - 1.486913902857075700, 1.486657400151549600, 1.486400842785880100, - 1.486144230769501000, - 1.485887564111846500, 1.485630842822354100, 1.485374066910462500, - 1.485117236385612200, - 1.484860351257246500, 1.484603411534810300, 1.484346417227750700, - 1.484089368345516300, - 1.483832264897558400, 1.483575106893329600, 1.483317894342285100, - 1.483060627253882000, - 1.482803305637578900, 1.482545929502837100, 1.482288498859119400, - 1.482031013715890700, - 1.481773474082618300, 1.481515879968770900, 1.481258231383819800, - 1.481000528337237800, - 1.480742770838499900, 1.480484958897083200, 1.480227092522466500, - 1.479969171724131200, - 1.479711196511560100, 1.479453166894238100, 1.479195082881652200, - 1.478936944483291600, - 1.478678751708647000, 1.478420504567211900, 1.478162203068481100, - 1.477903847221951400, - 1.477645437037121900, 1.477386972523493800, 1.477128453690569800, - 1.476869880547855300, - 1.476611253104856700, 1.476352571371083700, 1.476093835356046700, - 1.475835045069259000, - 1.475576200520235500, 1.475317301718493300, 1.475058348673551100, - 1.474799341394929900, - 1.474540279892153000, 1.474281164174744900, 1.474021994252233000, - 1.473762770134145800, - 1.473503491830014300, 1.473244159349371700, 1.472984772701752900, - 1.472725331896694400, - 1.472465836943735600, 1.472206287852416900, 1.471946684632281500, - 1.471687027292874400, - 1.471427315843742100, 1.471167550294433700, 1.470907730654499800, - 1.470647856933493300, - 1.470387929140969200, 1.470127947286484100, 1.469867911379596900, - 1.469607821429868500, - 1.469347677446861500, 1.469087479440140300, 1.468827227419272200, - 1.468566921393825700, - 1.468306561373371900, 1.468046147367482600, 1.467785679385733300, - 1.467525157437700200, - 1.467264581532962100, 1.467003951681099800, 1.466743267891695800, - 1.466482530174334500, - 1.466221738538602500, 1.465960892994088800, 1.465699993550383400, - 1.465439040217079400, - 1.465178033003770700, 1.464916971920054100, 1.464655856975527900, - 1.464394688179792900, - 1.464133465542451200, 1.463872189073107500, 1.463610858781367900, - 1.463349474676840700, - 1.463088036769136600, 1.462826545067867700, 1.462564999582648600, - 1.462303400323095000, - 1.462041747298825900, 1.461780040519460800, 1.461518279994622200, - 1.461256465733934400, - 1.460994597747023600, 1.460732676043517800, 1.460470700633046800, - 1.460208671525243400, - 1.459946588729741100, 1.459684452256176300, 1.459422262114186800, - 1.459160018313412400, - 1.458897720863495500, 1.458635369774079500, 1.458372965054810700, - 1.458110506715337000, - 1.457847994765308200, 1.457585429214375700, 1.457322810072193800, - 1.457060137348418000, - 1.456797411052706200, 1.456534631194717800, 1.456271797784114900, - 1.456008910830560500, - 1.455745970343720800, 1.455482976333263100, 1.455219928808857200, - 1.454956827780174100, - 1.454693673256887600, 1.454430465248673300, 1.454167203765208000, - 1.453903888816171900, - 1.453640520411245900, 1.453377098560113100, 1.453113623272459100, - 1.452850094557971000, - 1.452586512426338000, 1.452322876887251400, 1.452059187950404100, - 1.451795445625491300, - 1.451531649922210200, 1.451267800850259500, 1.451003898419340500, - 1.450739942639155800, - 1.450475933519410400, 1.450211871069811300, 1.449947755300067500, - 1.449683586219889400, - 1.449419363838989800, 1.449155088167083600, 1.448890759213887100, - 1.448626376989119400, - 1.448361941502500900, 1.448097452763754000, 1.447832910782603100, - 1.447568315568775100, - 1.447303667131997900, 1.447038965482002200, 1.446774210628520200, - 1.446509402581286400, - 1.446244541350036700, 1.445979626944509300, 1.445714659374444500, - 1.445449638649584500, - 1.445184564779673500, 1.444919437774456700, 1.444654257643682900, - 1.444389024397101600, - 1.444123738044464900, 1.443858398595526400, 1.443593006060042100, - 1.443327560447769600, - 1.443062061768468400, 1.442796510031900500, 1.442530905247829200, - 1.442265247426020200, - 1.441999536576240800, 1.441733772708260600, 1.441467955831850800, - 1.441202085956784900, - 1.440936163092837900, 1.440670187249787600, 1.440404158437412500, - 1.440138076665494100, - 1.439871941943815300, 1.439605754282161400, 1.439339513690319100, - 1.439073220178077400, - 1.438806873755226900, 1.438540474431560600, 1.438274022216873500, - 1.438007517120961900, - 1.437740959153624500, 1.437474348324662100, 1.437207684643876800, - 1.436940968121073600, - 1.436674198766058500, 1.436407376588640000, 1.436140501598628400, - 1.435873573805835900, - 1.435606593220076600, 1.435339559851166500, 1.435072473708924000, - 1.434805334803169100, - 1.434538143143723200, 1.434270898740410700, 1.434003601603057300, - 1.433736251741490700, - 1.433468849165540500, 1.433201393885038500, 1.432933885909818000, - 1.432666325249714700, - 1.432398711914566200, 1.432131045914211600, 1.431863327258492400, - 1.431595555957251700, - 1.431327732020334800, 1.431059855457588600, 1.430791926278862400, - 1.430523944494007400, - 1.430255910112876000, 1.429987823145323100, 1.429719683601205800, - 1.429451491490382900, - 1.429183246822714800, 1.428914949608064200, 1.428646599856295400, - 1.428378197577275100, - 1.428109742780871800, 1.427841235476955400, 1.427572675675398600, - 1.427304063386075200, - 1.427035398618861500, 1.426766681383635500, 1.426497911690277000, - 1.426229089548668200, - 1.425960214968693000, 1.425691287960236600, 1.425422308533187200, - 1.425153276697434000, - 1.424884192462868800, 1.424615055839385300, 1.424345866836878200, - 1.424076625465245500, - 1.423807331734385800, 1.423537985654200800, 1.423268587234593400, - 1.422999136485468600, - 1.422729633416733200, 1.422460078038296300, 1.422190470360068300, - 1.421920810391962500, - 1.421651098143893000, 1.421381333625776600, 1.421111516847531700, - 1.420841647819078600, - 1.420571726550339700, 1.420301753051239400, 1.420031727331703800, - 1.419761649401660500, - 1.419491519271040000, 1.419221336949774100, 1.418951102447796800, - 1.418680815775043500, - 1.418410476941452100, 1.418140085956961900, 1.417869642831514700, - 1.417599147575054000, - 1.417328600197524900, 1.417058000708874700, 1.416787349119052600, - 1.416516645438009600, - 1.416245889675698900, 1.415975081842075300, 1.415704221947095700, - 1.415433310000718600, - 1.415162346012905000, 1.414891329993617200, 1.414620261952819600, - 1.414349141900479000, - 1.414077969846563500, 1.413806745801043500, 1.413535469773890700, - 1.413264141775079300, - 1.412992761814585400, 1.412721329902386900, 1.412449846048463600, - 1.412178310262796900, - 1.411906722555370500, 1.411635082936170100, 1.411363391415182900, - 1.411091648002398500, - 1.410819852707807700, 1.410548005541404100, 1.410276106513182400, - 1.410004155633139500, - 1.409732152911274500, 1.409460098357588200, 1.409187991982083100, - 1.408915833794763800, - 1.408643623805636800, 1.408371362024710500, 1.408099048461995300, - 1.407826683127503000, - 1.407554266031248100, 1.407281797183246500, 1.407009276593515800, - 1.406736704272076400, - 1.406464080228949600, 1.406191404474159000, 1.405918677017730100, - 1.405645897869690400, - 1.405373067040069300, 1.405100184538898000, 1.404827250376209400, - 1.404554264562038400, - 1.404281227106422400, 1.404008138019399800, 1.403734997311011600, - 1.403461804991300100, - 1.403188561070310100, 1.402915265558087700, 1.402641918464681400, - 1.402368519800141200, - 1.402095069574519800, 1.401821567797870300, 1.401548014480249000, - 1.401274409631713600, - 1.401000753262323900, 1.400727045382141400, 1.400453286001229800, - 1.400179475129653700, - 1.399905612777481200, 1.399631698954780800, 1.399357733671623900, - 1.399083716938083600, - 1.398809648764234100, 1.398535529160152400, 1.398261358135917300, - 1.397987135701609200, - 1.397712861867310300, 1.397438536643105000, 1.397164160039079200, - 1.396889732065321300, - 1.396615252731921100, 1.396340722048970300, 1.396066140026562800, - 1.395791506674794100, - 1.395516822003761700, 1.395242086023564800, 1.394967298744304900, - 1.394692460176085300, - 1.394417570329010700, 1.394142629213188000, 1.393867636838725900, - 1.393592593215735600, - 1.393317498354329300, 1.393042352264621600, 1.392767154956728400, - 1.392491906440768600, - 1.392216606726861800, 1.391941255825130100, 1.391665853745697400, - 1.391390400498689700, - 1.391114896094234100, 1.390839340542460600, 1.390563733853500200, - 1.390288076037486500, - 1.390012367104554600, 1.389736607064841100, 1.389460795928485500, - 1.389184933705628300, - 1.388909020406412100, 1.388633056040981600, 1.388357040619483200, - 1.388080974152065200, - 1.387804856648877600, 1.387528688120072600, 1.387252468575804100, - 1.386976198026228100, - 1.386699876481501900, 1.386423503951785200, 1.386147080447239600, - 1.385870605978028100, - 1.385594080554316100, 1.385317504186270900, 1.385040876884061000, - 1.384764198657857200, - 1.384487469517832200, 1.384210689474160600, 1.383933858537019100, - 1.383656976716585600, - 1.383380044023040400, 1.383103060466565300, 1.382826026057344600, - 1.382548940805563800, - 1.382271804721410600, 1.381994617815074400, 1.381717380096746800, - 1.381440091576620700, - 1.381162752264891500, 1.380885362171756300, 1.380607921307413400, - 1.380330429682064000, - 1.380052887305910400, 1.379775294189157000, 1.379497650342010400, - 1.379219955774678700, - 1.378942210497371600, 1.378664414520301500, 1.378386567853681700, - 1.378108670507728300, - 1.377830722492658500, 1.377552723818691500, 1.377274674496048700, - 1.376996574534953300, - 1.376718423945630000, 1.376440222738305700, 1.376161970923209400, - 1.375883668510570900, - 1.375605315510623200, 1.375326911933600200, 1.375048457789738400, - 1.374769953089275400, - 1.374491397842451100, 1.374212792059507100, 1.373934135750687100, - 1.373655428926236400, - 1.373376671596402400, 1.373097863771434200, 1.372819005461582500, - 1.372540096677100200, - 1.372261137428242300, 1.371982127725264800, 1.371703067578426700, - 1.371423956997988000, - 1.371144795994210500, 1.370865584577358300, 1.370586322757697500, - 1.370307010545495500, - 1.370027647951022100, 1.369748234984548000, 1.369468771656347200, - 1.369189257976694200, - 1.368909693955866000, 1.368630079604142000, 1.368350414931802000, - 1.368070699949128800, - 1.367790934666406600, 1.367511119093921800, 1.367231253241962200, - 1.366951337120818000, - 1.366671370740780500, 1.366391354112143500, 1.366111287245202400, - 1.365831170150254300, - 1.365551002837598600, 1.365270785317536100, 1.364990517600369400, - 1.364710199696403300, - 1.364429831615944200, 1.364149413369300600, 1.363868944966782900, - 1.363588426418702600, - 1.363307857735373900, 1.363027238927112300, 1.362746570004235400, - 1.362465850977062900, - 1.362185081855915600, 1.361904262651116900, 1.361623393372991300, - 1.361342474031866000, - 1.361061504638069400, 1.360780485201932300, 1.360499415733786400, - 1.360218296243966200, - 1.359937126742807300, 1.359655907240648000, 1.359374637747827700, - 1.359093318274687800, - 1.358811948831571500, 1.358530529428824400, 1.358249060076792900, - 1.357967540785826300, - 1.357685971566275200, 1.357404352428492000, 1.357122683382830900, - 1.356840964439648200, - 1.356559195609301700, 1.356277376902151900, 1.355995508328559500, - 1.355713589898888800, - 1.355431621623504700, 1.355149603512774400, 1.354867535577067200, - 1.354585417826753800, - 1.354303250272206500, 1.354021032923800300, 1.353738765791911100, - 1.353456448886917200, - 1.353174082219199100, 1.352891665799137900, 1.352609199637117500, - 1.352326683743523300, - 1.352044118128742600, 1.351761502803164900, 1.351478837777180700, - 1.351196123061183100, - 1.350913358665566400, 1.350630544600727200, 1.350347680877063800, - 1.350064767504976400, - 1.349781804494866600, 1.349498791857138400, 1.349215729602197400, - 1.348932617740450600, - 1.348649456282307700, 1.348366245238179500, 1.348082984618478800, - 1.347799674433620500, - 1.347516314694020800, 1.347232905410098200, 1.346949446592273100, - 1.346665938250967100, - 1.346382380396604000, 1.346098773039609700, 1.345815116190411300, - 1.345531409859438200, - 1.345247654057121700, 1.344963848793894200, 1.344679994080190800, - 1.344396089926448000, - 1.344112136343103900, 1.343828133340598800, 1.343544080929374800, - 1.343259979119875600, - 1.342975827922546600, 1.342691627347835500, 1.342407377406191500, - 1.342123078108065700, - 1.341838729463910900, 1.341554331484181600, 1.341269884179334700, - 1.340985387559828100, - 1.340700841636122400, 1.340416246418678800, 1.340131601917961900, - 1.339846908144436600, - 1.339562165108570700, 1.339277372820833400, 1.338992531291695500, - 1.338707640531629800, - 1.338422700551110900, 1.338137711360615200, 1.337852672970621300, - 1.337567585391608900, - 1.337282448634059800, 1.336997262708457900, 1.336712027625288600, - 1.336426743395039000, - 1.336141410028198500, 1.335856027535258000, 1.335570595926709700, - 1.335285115213048500, - 1.334999585404770700, 1.334714006512374400, 1.334428378546359500, - 1.334142701517227600, - 1.333856975435482300, 1.333571200311629100, 1.333285376156174700, - 1.332999502979628700, - 1.332713580792501500, 1.332427609605305400, 1.332141589428554900, - 1.331855520272766200, - 1.331569402148457400, 1.331283235066148100, 1.330997019036359800, - 1.330710754069615700, - 1.330424440176441300, 1.330138077367363200, 1.329851665652910500, - 1.329565205043613800, - 1.329278695550004700, 1.328992137182618100, 1.328705529951989400, - 1.328418873868656900, - 1.328132168943159800, 1.327845415186039000, 1.327558612607838500, - 1.327271761219102500, - 1.326984861030378000, 1.326697912052213500, 1.326410914295159400, - 1.326123867769767500, - 1.325836772486591800, 1.325549628456188100, 1.325262435689113600, - 1.324975194195928000, - 1.324687903987191900, 1.324400565073468300, 1.324113177465321900, - 1.323825741173318700, - 1.323538256208027800, 1.323250722580018500, 1.322963140299862500, - 1.322675509378133900, - 1.322387829825407700, 1.322100101652261100, 1.321812324869273500, - 1.321524499487024800, - 1.321236625516098100, 1.320948702967077400, 1.320660731850549000, - 1.320372712177100700, - 1.320084643957322400, 1.319796527201805300, 1.319508361921142500, - 1.319220148125929100, - 1.318931885826762000, 1.318643575034239800, 1.318355215758962900, - 1.318066808011533200, - 1.317778351802554800, 1.317489847142633300, 1.317201294042376300, - 1.316912692512393300, - 1.316624042563294900, 1.316335344205694200, 1.316046597450205800, - 1.315757802307445900, - 1.315468958788033000, 1.315180066902586800, 1.314891126661728900, - 1.314602138076083300, - 1.314313101156274800, 1.314024015912930600, 1.313734882356679900, - 1.313445700498152800, - 1.313156470347981900, 1.312867191916801100, 1.312577865215246900, - 1.312288490253956900, - 1.311999067043570200, 1.311709595594728000, 1.311420075918073900, - 1.311130508024252400, - 1.310840891923910100, 1.310551227627695400, 1.310261515146258200, - 1.309971754490250700, - 1.309681945670326400, 1.309392088697140900, 1.309102183581351200, - 1.308812230333616500, - 1.308522228964597500, 1.308232179484956500, 1.307942081905358000, - 1.307651936236467800, - 1.307361742488954300, 1.307071500673486800, 1.306781210800736200, - 1.306490872881376200, - 1.306200486926081700, 1.305910052945529200, 1.305619570950396800, - 1.305329040951365100, - 1.305038462959116100, 1.304747836984333300, 1.304457163037702200, - 1.304166441129910300, - 1.303875671271646400, 1.303584853473601200, 1.303293987746467300, - 1.303003074100939100, - 1.302712112547712800, 1.302421103097485900, 1.302130045760958100, - 1.301838940548830600, - 1.301547787471806900, 1.301256586540591600, 1.300965337765891600, - 1.300674041158414800, - 1.300382696728871400, 1.300091304487973800, 1.299799864446435200, - 1.299508376614971500, - 1.299216841004299200, 1.298925257625137800, 1.298633626488207500, - 1.298341947604231300, - 1.298050220983932900, 1.297758446638038700, 1.297466624577275900, - 1.297174754812374400, - 1.296882837354065100, 1.296590872213081200, 1.296298859400157700, - 1.296006798926030200, - 1.295714690801437600, 1.295422535037119800, 1.295130331643818500, - 1.294838080632277000, - 1.294545782013240900, 1.294253435797456900, 1.293961041995673700, - 1.293668600618642000, - 1.293376111677113900, 1.293083575181843500, 1.292790991143586200, - 1.292498359573099700, - 1.292205680481143500, 1.291912953878477900, 1.291620179775866400, - 1.291327358184073200, - 1.291034489113864100, 1.290741572576007400, 1.290448608581273000, - 1.290155597140431700, - 1.289862538264257700, 1.289569431963524900, 1.289276278249010600, - 1.288983077131493000, - 1.288689828621752300, 1.288396532730570400, 1.288103189468731400, - 1.287809798847019800, - 1.287516360876223500, 1.287222875567130900, 1.286929342930532800, - 1.286635762977221800, - 1.286342135717991600, 1.286048461163638000, 1.285754739324958900, - 1.285460970212753500, - 1.285167153837822900, 1.284873290210969900, 1.284579379342998700, - 1.284285421244715900, - 1.283991415926929400, 1.283697363400448900, 1.283403263676086100, - 1.283109116764654000, - 1.282814922676967400, 1.282520681423843000, 1.282226393016099500, - 1.281932057464557000, - 1.281637674780037100, 1.281343244973363700, 1.281048768055361900, - 1.280754244036858900, - 1.280459672928683500, 1.280165054741666300, 1.279870389486639400, - 1.279575677174437100, - 1.279280917815894600, 1.278986111421849900, 1.278691258003142000, - 1.278396357570611900, - 1.278101410135101800, 1.277806415707456700, 1.277511374298522200, - 1.277216285919146500, - 1.276921150580179200, 1.276625968292471000, 1.276330739066875400, - 1.276035462914247000, - 1.275740139845442400, 1.275444769871319600, 1.275149353002738700, - 1.274853889250561200, - 1.274558378625650200, 1.274262821138871300, 1.273967216801090900, - 1.273671565623178100, - 1.273375867616002300, 1.273080122790436000, 1.272784331157352800, - 1.272488492727628100, - 1.272192607512139300, 1.271896675521764900, 1.271600696767385400, - 1.271304671259883200, - 1.271008599010142500, 1.270712480029048800, 1.270416314327489800, - 1.270120101916354600, - 1.269823842806533800, 1.269527537008920300, 1.269231184534408200, - 1.268934785393893700, - 1.268638339598274500, 1.268341847158450200, 1.268045308085321800, - 1.267748722389792100, - 1.267452090082765900, 1.267155411175149500, 1.266858685677851000, - 1.266561913601780100, - 1.266265094957848000, 1.265968229756968100, 1.265671318010055400, - 1.265374359728026500, - 1.265077354921799300, 1.264780303602294200, 1.264483205780432700, - 1.264186061467138500, - 1.263888870673336400, 1.263591633409954000, 1.263294349687918800, - 1.262997019518161700, - 1.262699642911614600, 1.262402219879211300, 1.262104750431887000, - 1.261807234580578900, - 1.261509672336225600, 1.261212063709767900, 1.260914408712147800, - 1.260616707354309500, - 1.260318959647198400, 1.260021165601761900, 1.259723325228949000, - 1.259425438539710300, - 1.259127505544998600, 1.258829526255768000, 1.258531500682973800, - 1.258233428837574300, - 1.257935310730528000, 1.257637146372796400, 1.257338935775342200, - 1.257040678949129500, - 1.256742375905124400, 1.256444026654294400, 1.256145631207609400, - 1.255847189576040100, - 1.255548701770560000, 1.255250167802143000, 1.254951587681765600, - 1.254652961420405600, - 1.254354289029042900, 1.254055570518658500, 1.253756805900235700, - 1.253457995184759300, - 1.253159138383215200, 1.252860235506592100, 1.252561286565879300, - 1.252262291572068900, - 1.251963250536153500, 1.251664163469128300, 1.251365030381989700, - 1.251065851285736200, - 1.250766626191367500, 1.250467355109885500, 1.250168038052293500, - 1.249868675029596200, - 1.249569266052800800, 1.249269811132915200, 1.248970310280950200, - 1.248670763507917100, - 1.248371170824829300, 1.248071532242702100, 1.247771847772552300, - 1.247472117425398700, - 1.247172341212261500, 1.246872519144162300, 1.246572651232124700, - 1.246272737487174300, - 1.245972777920338000, 1.245672772542644400, 1.245372721365123600, - 1.245072624398807900, - 1.244772481654731000, 1.244472293143928300, 1.244172058877436800, - 1.243871778866295400, - 1.243571453121544000, 1.243271081654225400, 1.242970664475383100, - 1.242670201596062700, - 1.242369693027311200, 1.242069138780177400, 1.241768538865712000, - 1.241467893294967200, - 1.241167202078996800, 1.240866465228856100, 1.240565682755603100, - 1.240264854670295900, - 1.239963980983995300, 1.239663061707763700, 1.239362096852665300, - 1.239061086429765300, - 1.238760030450130900, 1.238458928924831600, 1.238157781864937400, - 1.237856589281521000, - 1.237555351185656500, 1.237254067588419400, 1.236952738500886900, - 1.236651363934138300, - 1.236349943899254000, 1.236048478407316500, 1.235746967469409900, - 1.235445411096619500, - 1.235143809300033300, 1.234842162090739700, 1.234540469479829900, - 1.234238731478396000, - 1.233936948097532400, 1.233635119348334400, 1.233333245241899200, - 1.233031325789326400, - 1.232729361001716500, 1.232427350890172000, 1.232125295465796600, - 1.231823194739696300, - 1.231521048722978200, 1.231218857426751700, 1.230916620862127400, - 1.230614339040217800, - 1.230312011972136500, 1.230009639668999500, 1.229707222141924100, - 1.229404759402029400, - 1.229102251460436400, 1.228799698328266700, 1.228497100016644900, - 1.228194456536696500, - 1.227891767899548700, 1.227589034116330700, 1.227286255198173100, - 1.226983431156208200, - 1.226680562001569900, 1.226377647745394000, 1.226074688398817600, - 1.225771683972980200, - 1.225468634479021500, 1.225165539928084300, 1.224862400331312400, - 1.224559215699851500, - 1.224255986044848500, 1.223952711377453100, 1.223649391708814700, - 1.223346027050086400, - 1.223042617412421600, 1.222739162806975900, 1.222435663244906700, - 1.222132118737372400, - 1.221828529295533800, 1.221524894930552800, 1.221221215653593100, - 1.220917491475820500, - 1.220613722408401900, 1.220309908462505800, 1.220006049649302800, - 1.219702145979964600, - 1.219398197465665400, 1.219094204117580300, 1.218790165946886100, - 1.218486082964761500, - 1.218181955182386500, 1.217877782610943700, 1.217573565261616000, - 1.217269303145589000, - 1.216964996274049400, 1.216660644658185600, 1.216356248309187600, - 1.216051807238247800, - 1.215747321456559300, 1.215442790975316700, 1.215138215805717300, - 1.214833595958959300, - 1.214528931446242600, 1.214224222278769100, 1.213919468467741900, - 1.213614670024366000, - 1.213309826959847700, 1.213004939285395400, 1.212700007012219100, - 1.212395030151530300, - 1.212090008714541600, 1.211784942712468300, 1.211479832156526800, - 1.211174677057934800, - 1.210869477427912300, 1.210564233277680500, 1.210258944618462200, - 1.209953611461482200, - 1.209648233817966600, 1.209342811699143600, 1.209037345116242400, - 1.208731834080493800, - 1.208426278603131200, 1.208120678695388600, 1.207815034368502100, - 1.207509345633709600, - 1.207203612502250300, 1.206897834985365000, 1.206592013094296200, - 1.206286146840288300, - 1.205980236234587100, 1.205674281288440000, 1.205368282013096200, - 1.205062238419806200, - 1.204756150519822300, 1.204450018324398900, 1.204143841844791200, - 1.203837621092256800, - 1.203531356078054100, 1.203225046813444000, 1.202918693309688300, - 1.202612295578050900, - 1.202305853629797500, 1.201999367476194400, 1.201692837128510700, - 1.201386262598016500, - 1.201079643895983700, 1.200772981033685800, 1.200466274022397900, - 1.200159522873396800, - 1.199852727597960700, 1.199545888207369700, 1.199239004712905300, - 1.198932077125851100, - 1.198625105457491700, 1.198318089719113200, 1.198011029922004400, - 1.197703926077454200, - 1.197396778196754700, 1.197089586291198500, 1.196782350372080300, - 1.196475070450696100, - 1.196167746538343600, 1.195860378646322700, 1.195552966785933900, - 1.195245510968480300, - 1.194938011205265900, 1.194630467507596500, 1.194322879886780000, - 1.194015248354125100, - 1.193707572920943000, 1.193399853598545500, 1.193092090398246900, - 1.192784283331362700, - 1.192476432409210100, 1.192168537643107900, 1.191860599044376500, - 1.191552616624337800, - 1.191244590394315400, 1.190936520365635000, 1.190628406549622900, - 1.190320248957608100, - 1.190012047600920200, 1.189703802490891000, 1.189395513638853900, - 1.189087181056143900, - 1.188778804754097300, 1.188470384744052100, 1.188161921037348400, - 1.187853413645327100, - 1.187544862579331500, 1.187236267850706000, 1.186927629470796900, - 1.186618947450951600, - 1.186310221802519900, 1.186001452536852300, 1.185692639665301600, - 1.185383783199222000, - 1.185074883149969100, 1.184765939528900500, 1.184456952347374900, - 1.184147921616753200, - 1.183838847348397400, 1.183529729553671500, 1.183220568243940300, - 1.182911363430571200, - 1.182602115124932900, 1.182292823338395100, 1.181983488082330300, - 1.181674109368111300, - 1.181364687207113100, 1.181055221610712400, 1.180745712590287400, - 1.180436160157217800, - 1.180126564322885100, 1.179816925098671900, 1.179507242495962900, - 1.179197516526144600, - 1.178887747200604300, 1.178577934530731700, 1.178268078527917200, - 1.177958179203553800, - 1.177648236569035300, 1.177338250635757700, 1.177028221415118200, - 1.176718148918515700, - 1.176408033157350300, 1.176097874143024600, 1.175787671886942000, - 1.175477426400507700, - 1.175167137695128900, 1.174856805782213500, 1.174546430673171900, - 1.174236012379415600, - 1.173925550912357800, 1.173615046283413200, 1.173304498503998400, - 1.172993907585530900, - 1.172683273539430800, 1.172372596377118800, 1.172061876110017700, - 1.171751112749551900, - 1.171440306307147200, 1.171129456794231200, 1.170818564222232800, - 1.170507628602582800, - 1.170196649946713100, 1.169885628266057900, 1.169574563572052300, - 1.169263455876133200, - 1.168952305189739200, 1.168641111524310700, 1.168329874891289400, - 1.168018595302118000, - 1.167707272768241800, 1.167395907301107100, 1.167084498912162300, - 1.166773047612856400, - 1.166461553414641000, 1.166150016328968600, 1.165838436367293800, - 1.165526813541072100, - 1.165215147861761400, 1.164903439340820900, 1.164591687989710500, - 1.164279893819892800, - 1.163968056842831700, 1.163656177069992500, 1.163344254512841800, - 1.163032289182848800, - 1.162720281091483000, 1.162408230250216100, 1.162096136670521600, - 1.161784000363874000, - 1.161471821341749900, 1.161159599615627000, 1.160847335196984800, - 1.160535028097304600, - 1.160222678328068700, 1.159910285900761700, 1.159597850826869200, - 1.159285373117878500, - 1.158972852785278500, 1.158660289840559800, 1.158347684295214300, - 1.158035036160735900, - 1.157722345448619400, 1.157409612170361600, 1.157096836337461000, - 1.156784017961417500, - 1.156471157053732300, 1.156158253625908700, 1.155845307689450800, - 1.155532319255865300, - 1.155219288336659400, 1.154906214943342700, 1.154593099087426000, - 1.154279940780421400, - 1.153966740033842900, 1.153653496859206000, 1.153340211268028000, - 1.153026883271827300, - 1.152713512882124400, 1.152400100110440700, 1.152086644968299400, - 1.151773147467225300, - 1.151459607618745300, 1.151146025434387000, 1.150832400925680100, - 1.150518734104155400, - 1.150205024981345800, 1.149891273568785400, 1.149577479878009800, - 1.149263643920556800, - 1.148949765707964600, 1.148635845251773800, 1.148321882563526400, - 1.148007877654766200, - 1.147693830537038100, 1.147379741221888500, 1.147065609720865600, - 1.146751436045519300, - 1.146437220207400700, 1.146122962218062600, 1.145808662089060000, - 1.145494319831947800, - 1.145179935458284100, 1.144865508979627800, 1.144551040407539400, - 1.144236529753581000, - 1.143921977029316500, 1.143607382246310600, 1.143292745416130600, - 1.142978066550344400, - 1.142663345660522000, 1.142348582758234900, 1.142033777855056000, - 1.141718930962559500, - 1.141404042092321500, 1.141089111255919800, 1.140774138464933700, - 1.140459123730943200, - 1.140144067065530700, 1.139828968480280300, 1.139513827986776900, - 1.139198645596607400, - 1.138883421321360600, 1.138568155172625700, 1.138252847161994400, - 1.137937497301059600, - 1.137622105601416000, 1.137306672074659900, 1.136991196732388200, - 1.136675679586200500, - 1.136360120647697200, 1.136044519928480800, 1.135728877440154800, - 1.135413193194324800, - 1.135097467202597100, 1.134781699476580300, 1.134465890027884300, - 1.134150038868120500, - 1.133834146008902100, 1.133518211461843200, 1.133202235238559800, - 1.132886217350669500, - 1.132570157809791500, 1.132254056627546300, 1.131937913815556300, - 1.131621729385444900, - 1.131305503348837300, 1.130989235717360100, 1.130672926502642100, - 1.130356575716312500, - 1.130040183370002900, 1.129723749475346000, 1.129407274043976200, - 1.129090757087529500, - 1.128774198617643200, 1.128457598645956600, 1.128140957184109700, - 1.127824274243744500, - 1.127507549836505000, 1.127190783974035800, 1.126873976667983800, - 1.126557127929996800, - 1.126240237771724700, 1.125923306204818400, 1.125606333240930700, - 1.125289318891715900, - 1.124972263168829500, 1.124655166083928800, 1.124338027648672500, - 1.124020847874721100, - 1.123703626773736100, 1.123386364357381200, 1.123069060637320600, - 1.122751715625221400, - 1.122434329332750800, 1.122116901771578400, 1.121799432953375600, - 1.121481922889814300, - 1.121164371592568300, 1.120846779073313400, 1.120529145343726500, - 1.120211470415486200, - 1.119893754300272300, 1.119575997009766300, 1.119258198555651300, - 1.118940358949611900, - 1.118622478203333800, 1.118304556328505200, 1.117986593336814700, - 1.117668589239953200, - 1.117350544049612300, 1.117032457777486200, 1.116714330435269600, - 1.116396162034659600, - 1.116077952587353600, 1.115759702105052000, 1.115441410599455500, - 1.115123078082267000, - 1.114804704565190500, 1.114486290059931900, 1.114167834578198200, - 1.113849338131698300, - 1.113530800732142100, 1.113212222391241500, 1.112893603120710000, - 1.112574942932261600, - 1.112256241837613000, 1.111937499848481900, 1.111618716976587700, - 1.111299893233650600, - 1.110981028631393700, 1.110662123181539900, 1.110343176895814500, - 1.110024189785944900, - 1.109705161863658600, 1.109386093140686000, 1.109066983628758100, - 1.108747833339607200, - 1.108428642284968100, 1.108109410476576300, 1.107790137926169200, - 1.107470824645485600, - 1.107151470646265300, 1.106832075940250600, 1.106512640539184100, - 1.106193164454811100, - 1.105873647698877300, 1.105554090283131100, 1.105234492219321100, - 1.104914853519198400, - 1.104595174194514800, 1.104275454257024300, 1.103955693718482200, - 1.103635892590644900, - 1.103316050885270600, 1.102996168614119000, 1.102676245788951400, - 1.102356282421530300, - 1.102036278523620000, 1.101716234106985700, 1.101396149183395000, - 1.101076023764616400, - 1.100755857862419700, 1.100435651488577100, 1.100115404654861100, - 1.099795117373046200, - 1.099474789654909100, 1.099154421512226600, 1.098834012956778200, - 1.098513564000344300, - 1.098193074654706800, 1.097872544931649100, 1.097551974842956500, - 1.097231364400415000, - 1.096910713615813200, 1.096590022500939700, 1.096269291067585700, - 1.095948519327543800, - 1.095627707292607700, 1.095306854974572800, 1.094985962385235800, - 1.094665029536395100, - 1.094344056439850600, 1.094023043107403200, 1.093701989550856000, - 1.093380895782013000, - 1.093059761812680100, 1.092738587654664300, 1.092417373319774200, - 1.092096118819820200, - 1.091774824166613600, 1.091453489371968100, 1.091132114447697300, - 1.090810699405617900, - 1.090489244257547300, 1.090167749015304300, 1.089846213690709900, - 1.089524638295585400, - 1.089203022841754400, 1.088881367341041800, 1.088559671805274100, - 1.088237936246279100, - 1.087916160675885800, 1.087594345105925300, 1.087272489548229700, - 1.086950594014632700, - 1.086628658516969500, 1.086306683067076900, 1.085984667676792600, - 1.085662612357956500, - 1.085340517122409800, 1.085018381981994500, 1.084696206948555300, - 1.084373992033937000, - 1.084051737249986900, 1.083729442608553300, 1.083407108121486000, - 1.083084733800636200, - 1.082762319657857100, 1.082439865705002500, 1.082117371953928300, - 1.081794838416491700, - 1.081472265104551200, 1.081149652029967000, 1.080826999204601100, - 1.080504306640315500, - 1.080181574348975500, 1.079858802342446900, 1.079535990632596800, - 1.079213139231294500, - 1.078890248150409700, 1.078567317401815100, 1.078244346997383300, - 1.077921336948988600, - 1.077598287268508400, 1.077275197967819000, 1.076952069058800400, - 1.076628900553332700, - 1.076305692463297900, 1.075982444800579700, 1.075659157577062200, - 1.075335830804633000, - 1.075012464495178800, 1.074689058660589700, 1.074365613312755900, - 1.074042128463569500, - 1.073718604124924500, 1.073395040308715400, 1.073071437026839500, - 1.072747794291194300, - 1.072424112113678600, 1.072100390506194500, 1.071776629480643500, - 1.071452829048929800, - 1.071128989222958500, 1.070805110014635900, 1.070481191435870500, - 1.070157233498571600, - 1.069833236214650800, 1.069509199596019800, 1.069185123654592600, - 1.068861008402285200, - 1.068536853851013600, 1.068212660012696700, 1.067888426899253500, - 1.067564154522606000, - 1.067239842894676100, 1.066915492027387600, 1.066591101932666800, - 1.066266672622439700, - 1.065942204108635300, 1.065617696403183400, 1.065293149518014500, - 1.064968563465062100, - 1.064643938256259400, 1.064319273903543000, 1.063994570418849400, - 1.063669827814116300, - 1.063345046101285000, 1.063020225292295300, 1.062695365399091200, - 1.062370466433616400, - 1.062045528407815900, 1.061720551333637600, 1.061395535223029500, - 1.061070480087941800, - 1.060745385940325500, 1.060420252792134000, 1.060095080655320900, - 1.059769869541841800, - 1.059444619463654400, 1.059119330432716700, 1.058794002460989000, - 1.058468635560432500, - 1.058143229743009600, 1.057817785020685100, 1.057492301405424500, - 1.057166778909195000, - 1.056841217543965200, 1.056515617321704500, 1.056189978254385100, - 1.055864300353978900, - 1.055538583632461100, 1.055212828101807200, 1.054887033773993300, - 1.054561200660999200, - 1.054235328774803900, 1.053909418127389400, 1.053583468730738200, - 1.053257480596834700, - 1.052931453737664600, 1.052605388165214700, 1.052279283891473600, - 1.051953140928431100, - 1.051626959288079100, 1.051300738982409800, 1.050974480023417500, - 1.050648182423098000, - 1.050321846193448000, 1.049995471346466300, 1.049669057894152800, - 1.049342605848508200, - 1.049016115221536000, 1.048689586025239700, 1.048363018271625300, - 1.048036411972699500, - 1.047709767140470500, 1.047383083786948700, 1.047056361924144400, - 1.046729601564071200, - 1.046402802718742400, 1.046075965400174300, 1.045749089620383200, - 1.045422175391386800, - 1.045095222725206200, 1.044768231633861100, 1.044441202129375200, - 1.044114134223771900, - 1.043787027929076000, 1.043459883257315400, 1.043132700220517300, - 1.042805478830712200, - 1.042478219099930400, 1.042150921040204200, 1.041823584663568200, - 1.041496209982056600, - 1.041168797007707000, 1.040841345752557200, 1.040513856228645800, - 1.040186328448014800, - 1.039858762422705600, 1.039531158164762400, 1.039203515686230000, - 1.038875834999155100, - 1.038548116115585800, 1.038220359047570500, 1.037892563807160800, - 1.037564730406408200, - 1.037236858857366600, 1.036908949172090900, 1.036581001362636600, - 1.036253015441062700, - 1.035924991419427100, 1.035596929309791300, 1.035268829124216700, - 1.034940690874766300, - 1.034612514573505700, 1.034284300232500000, 1.033956047863817500, - 1.033627757479526700, - 1.033299429091697700, 1.032971062712402700, 1.032642658353714300, - 1.032314216027707700, - 1.031985735746457900, 1.031657217522042900, 1.031328661366541300, - 1.031000067292032300, - 1.030671435310598600, 1.030342765434322200, 1.030014057675287900, - 1.029685312045581100, - 1.029356528557288300, 1.029027707222499100, 1.028698848053302100, - 1.028369951061789600, - 1.028041016260053500, 1.027712043660187600, 1.027383033274288400, - 1.027053985114451100, - 1.026724899192775300, 1.026395775521359500, 1.026066614112305600, - 1.025737414977715200, - 1.025408178129692000, 1.025078903580341600, 1.024749591341769700, - 1.024420241426085200, - 1.024090853845396800, 1.023761428611814600, 1.023431965737451800, - 1.023102465234420700, - 1.022772927114837100, 1.022443351390816400, 1.022113738074476300, - 1.021784087177936000, - 1.021454398713315600, 1.021124672692737000, 1.020794909128323000, - 1.020465108032198300, - 1.020135269416488700, 1.019805393293321100, 1.019475479674824900, - 1.019145528573129000, - 1.018815540000365800, 1.018485513968667500, 1.018155450490168000, - 1.017825349577003300, - 1.017495211241309800, 1.017165035495226400, 1.016834822350892300, - 1.016504571820448000, - 1.016174283916036800, 1.015843958649801600, 1.015513596033888400, - 1.015183196080442900, - 1.014852758801613200, 1.014522284209548900, 1.014191772316400000, - 1.013861223134318900, - 1.013530636675459100, 1.013200012951974700, 1.012869351976022300, - 1.012538653759758900, - 1.012207918315344300, 1.011877145654937400, 1.011546335790700600, - 1.011215488734796800, - 1.010884604499389800, 1.010553683096645900, 1.010222724538731600, - 1.009891728837815700, - 1.009560696006067900, 1.009229626055658800, 1.008898518998761800, - 1.008567374847549900, - 1.008236193614199000, 1.007904975310885300, 1.007573719949786700, - 1.007242427543082900, - 1.006911098102953900, 1.006579731641582500, 1.006248328171152100, - 1.005916887703846500, - 1.005585410251852700, 1.005253895827357800, 1.004922344442551000, - 1.004590756109621900, - 1.004259130840762700, 1.003927468648166100, 1.003595769544025900, - 1.003264033540538500, - 1.002932260649900000, 1.002600450884309800, 1.002268604255967200, - 1.001936720777072400, - 1.001604800459829000, 1.001272843316440000, 1.000940849359111000, - 1.000608818600048100, - 1.000276751051459200, 0.999944646725553720, 0.999612505634541740, - 0.999280327790635690, - 0.998948113206048590, 0.998615861892994560, 0.998283573863690270, - 0.997951249130352380, - 0.997618887705200020, 0.997286489600452630, 0.996954054828332210, - 0.996621583401061110, - 0.996289075330862860, 0.995956530629963810, 0.995623949310589620, - 0.995291331384969390, - 0.994958676865332010, 0.994625985763907820, 0.994293258092929790, - 0.993960493864630480, - 0.993627693091245660, 0.993294855785010760, 0.992961981958163210, - 0.992629071622942340, - 0.992296124791587690, 0.991963141476341460, 0.991630121689446090, - 0.991297065443145440, - 0.990963972749685840, 0.990630843621313260, 0.990297678070276800, - 0.989964476108825210, - 0.989631237749210020, 0.989297963003683330, 0.988964651884498000, - 0.988631304403909890, - 0.988297920574174430, 0.987964500407549910, 0.987631043916294970, - 0.987297551112669370, - 0.986964022008935520, 0.986630456617355380, 0.986296854950194260, - 0.985963217019717120, - 0.985629542838190490, 0.985295832417883540, 0.984962085771065030, - 0.984628302910006580, - 0.984294483846980150, 0.983960628594258810, 0.983626737164118190, - 0.983292809568833910, - 0.982958845820684270, 0.982624845931947320, 0.982290809914904140, - 0.981956737781835790, - 0.981622629545024770, 0.981288485216756160, 0.980954304809314670, - 0.980620088334987930, - 0.980285835806063770, 0.979951547234831130, 0.979617222633581860, - 0.979282862014607240, - 0.978948465390201530, 0.978614032772659240, 0.978279564174275860, - 0.977945059607349900, - 0.977610519084179290, 0.977275942617064740, 0.976941330218307540, - 0.976606681900209830, - 0.976271997675076550, 0.975937277555212310, 0.975602521552924600, - 0.975267729680520560, - 0.974932901950310350, 0.974598038374604350, 0.974263138965714040, - 0.973928203735953460, - 0.973593232697636530, 0.973258225863079970, 0.972923183244600480, - 0.972588104854516410, - 0.972252990705148370, 0.971917840808816710, 0.971582655177844700, - 0.971247433824555920, - 0.970912176761274950, 0.970576884000329040, 0.970241555554045230, - 0.969906191434753320, - 0.969570791654783330, 0.969235356226466500, 0.968899885162136650, - 0.968564378474127350, - 0.968228836174775060, 0.967893258276415700, 0.967557644791388500, - 0.967221995732032490, - 0.966886311110688230, 0.966550590939698640, 0.966214835231406500, - 0.965879043998157160, - 0.965543217252296420, 0.965207355006171270, 0.964871457272131190, - 0.964535524062525410, - 0.964199555389706030, 0.963863551266025300, 0.963527511703836660, - 0.963191436715496120, - 0.962855326313359350, 0.962519180509785130, 0.962182999317132030, - 0.961846782747760140, - 0.961510530814032040, 0.961174243528309820, 0.960837920902958720, - 0.960501562950343390, - 0.960165169682831830, 0.959828741112791590, 0.959492277252591900, - 0.959155778114604400, - 0.958819243711200310, 0.958482674054753960, 0.958146069157639560, - 0.957809429032232760, - 0.957472753690911670, 0.957136043146054050, 0.956799297410040440, - 0.956462516495251940, - 0.956125700414070300, 0.955788849178880300, 0.955451962802066120, - 0.955115041296014880, - 0.954778084673113870, 0.954441092945751630, 0.954104066126319150, - 0.953767004227207060, - 0.953429907260809120, 0.953092775239518630, 0.952755608175731570, - 0.952418406081844360, - 0.952081168970254520, 0.951743896853362140, 0.951406589743566950, - 0.951069247653271500, - 0.950731870594878510, 0.950394458580791970, 0.950057011623418380, - 0.949719529735163940, - 0.949382012928437600, 0.949044461215648560, 0.948706874609207220, - 0.948369253121526420, - 0.948031596765018910, 0.947693905552099870, 0.947356179495185020, - 0.947018418606691230, - 0.946680622899037650, 0.946342792384643360, 0.946004927075930090, - 0.945667026985319680, - 0.945329092125236190, 0.944991122508104350, 0.944653118146349890, - 0.944315079052401090, - 0.943977005238685770, 0.943638896717634900, 0.943300753501679190, - 0.942962575603250920, - 0.942624363034784580, 0.942286115808714690, 0.941947833937478270, - 0.941609517433512730, - 0.941271166309256450, 0.940932780577150460, 0.940594360249635500, - 0.940255905339155150, - 0.939917415858152920, 0.939578891819073720, 0.939240333234364950, - 0.938901740116473540, - 0.938563112477849630, 0.938224450330942590, 0.937885753688204820, - 0.937547022562088990, - 0.937208256965048840, 0.936869456909540490, 0.936530622408019990, - 0.936191753472946030, - 0.935852850116777430, 0.935513912351974450, 0.935174940190999560, - 0.934835933646314900, - 0.934496892730385720, 0.934157817455677160, 0.933818707834655590, - 0.933479563879790030, - 0.933140385603548840, 0.932801173018403480, 0.932461926136825660, - 0.932122644971287830, - 0.931783329534265240, 0.931443979838232900, 0.931104595895668410, - 0.930765177719049210, - 0.930425725320855430, 0.930086238713567440, 0.929746717909666790, - 0.929407162921637610, - 0.929067573761963250, 0.928727950443130500, 0.928388292977625930, - 0.928048601377937210, - 0.927708875656554800, 0.927369115825968480, 0.927029321898671270, - 0.926689493887155820, - 0.926349631803916270, 0.926009735661449170, 0.925669805472250860, - 0.925329841248820340, - 0.924989843003656610, 0.924649810749260110, 0.924309744498133750, - 0.923969644262779830, - 0.923629510055703820, 0.923289341889410480, 0.922949139776407800, - 0.922608903729203570, - 0.922268633760306990, 0.921928329882229390, 0.921587992107482210, - 0.921247620448579440, - 0.920907214918035070, 0.920566775528364410, 0.920226302292085460, - 0.919885795221715540, - 0.919545254329774850, 0.919204679628783720, 0.918864071131263780, - 0.918523428849739030, - 0.918182752796733110, 0.917842042984772340, 0.917501299426383480, - 0.917160522134094160, - 0.916819711120434700, 0.916478866397934850, 0.916137987979127270, - 0.915797075876544350, - 0.915456130102721200, 0.915115150670193110, 0.914774137591496510, - 0.914433090879170130, - 0.914092010545752620, 0.913750896603785280, 0.913409749065809520, - 0.913068567944367970, - 0.912727353252005710, 0.912386105001267270, 0.912044823204700370, - 0.911703507874852440, - 0.911362159024272310, 0.911020776665511290, 0.910679360811120000, - 0.910337911473652390, - 0.909996428665661990, 0.909654912399703860, 0.909313362688335290, - 0.908971779544113350, - 0.908630162979597760, 0.908288513007348140, 0.907946829639926790, - 0.907605112889895870, - 0.907263362769819000, 0.906921579292262250, 0.906579762469791110, - 0.906237912314974080, - 0.905896028840379560, 0.905554112058577170, 0.905212161982139160, - 0.904870178623637170, - 0.904528161995645670, 0.904186112110739510, 0.903844028981494190, - 0.903501912620488070, - 0.903159763040298880, 0.902817580253507450, 0.902475364272694370, - 0.902133115110441470, - 0.901790832779333250, 0.901448517291953520, 0.901106168660889110, - 0.900763786898726380, - 0.900421372018054500, 0.900078924031462610, 0.899736442951541320, - 0.899393928790883420, - 0.899051381562081310, 0.898708801277730340, 0.898366187950425780, - 0.898023541592764210, - 0.897680862217344440, 0.897338149836764960, 0.896995404463627350, - 0.896652626110532870, - 0.896309814790084090, 0.895966970514885940, 0.895624093297543110, - 0.895281183150662960, - 0.894938240086852970, 0.894595264118721810, 0.894252255258880410, - 0.893909213519939460, - 0.893566138914512420, 0.893223031455212530, 0.892879891154655380, - 0.892536718025457090, - 0.892193512080234670, 0.891850273331607600, 0.891507001792195000, - 0.891163697474618880, - 0.890820360391500920, 0.890476990555464480, 0.890133587979135000, - 0.889790152675137610, - 0.889446684656100330, 0.889103183934650930, 0.888759650523418650, - 0.888416084435035060, - 0.888072485682131150, 0.887728854277341050, 0.887385190233298650, - 0.887041493562639060, - 0.886697764277999840, 0.886354002392018110, 0.886010207917333760, - 0.885666380866586560, - 0.885322521252418610, 0.884978629087472270, 0.884634704384391180, - 0.884290747155821230, - 0.883946757414407980, 0.883602735172799640, 0.883258680443644530, - 0.882914593239592320, - 0.882570473573294660, 0.882226321457403320, 0.881882136904572400, - 0.881537919927456340, - 0.881193670538710450, 0.880849388750992610, 0.880505074576960370, - 0.880160728029273920, - 0.879816349120593590, 0.879471937863580690, 0.879127494270899090, - 0.878783018355212220, - 0.878438510129186170, 0.878093969605486800, 0.877749396796782770, - 0.877404791715742370, - 0.877060154375035710, 0.876715484787334630, 0.876370782965310900, - 0.876026048921639160, - 0.875681282668993700, 0.875336484220050390, 0.874991653587487090, - 0.874646790783981660, - 0.874301895822214290, 0.873956968714865500, 0.873612009474616810, - 0.873267018114152300, - 0.872921994646155390, 0.872576939083312460, 0.872231851438309840, - 0.871886731723835020, - 0.871541579952577750, 0.871196396137227660, 0.870851180290476810, - 0.870505932425017060, - 0.870160652553543020, 0.869815340688749220, 0.869469996843331370, - 0.869124621029987670, - 0.868779213261415610, 0.868433773550315810, 0.868088301909388680, - 0.867742798351335720, - 0.867397262888861100, 0.867051695534668210, 0.866706096301463340, - 0.866360465201952980, - 0.866014802248844420, 0.865669107454847490, 0.865323380832671800, - 0.864977622395029290, - 0.864631832154632240, 0.864286010124194040, 0.863940156316430170, - 0.863594270744056040, - 0.863248353419789670, 0.862902404356348570, 0.862556423566453230, - 0.862210411062823810, - 0.861864366858181910, 0.861518290965251340, 0.861172183396755500, - 0.860826044165420630, - 0.860479873283972910, 0.860133670765139580, 0.859787436621650360, - 0.859441170866234390, - 0.859094873511623840, 0.858748544570550610, 0.858402184055747750, - 0.858055791979950740, - 0.857709368355894840, 0.857362913196317630, 0.857016426513956930, - 0.856669908321551650, - 0.856323358631843170, 0.855976777457572280, 0.855630164811482460, - 0.855283520706317080, - 0.854936845154821930, 0.854590138169742830, 0.854243399763827020, - 0.853896629949823630, - 0.853549828740481690, 0.853202996148552880, 0.852856132186788910, - 0.852509236867942440, - 0.852162310204768740, 0.851815352210022470, 0.851468362896461110, - 0.851121342276842110, - 0.850774290363923820, 0.850427207170467380, 0.850080092709233130, - 0.849732946992984290, - 0.849385770034483680, 0.849038561846496730, 0.848691322441788910, - 0.848344051833126780, - 0.847996750033279350, 0.847649417055015060, 0.847302052911105160, - 0.846954657614320980, - 0.846607231177434640, 0.846259773613221020, 0.845912284934454140, - 0.845564765153910990, - 0.845217214284368690, 0.844869632338605130, 0.844522019329400630, - 0.844174375269535320, - 0.843826700171791620, 0.843478994048952440, 0.843131256913801420, - 0.842783488779124570, - 0.842435689657707650, 0.842087859562339000, 0.841739998505806610, - 0.841392106500900900, - 0.841044183560412770, 0.840696229697133760, 0.840348244923857960, - 0.840000229253379030, - 0.839652182698493290, 0.839304105271996950, 0.838955996986687550, - 0.838607857855364740, - 0.838259687890827830, 0.837911487105878820, 0.837563255513319780, - 0.837214993125953600, - 0.836866699956585690, 0.836518376018021260, 0.836170021323067610, - 0.835821635884532730, - 0.835473219715225040, 0.835124772827955830, 0.834776295235535540, - 0.834427786950777460, - 0.834079247986494690, 0.833730678355502630, 0.833382078070616820, - 0.833033447144653880, - 0.832684785590432690, 0.832336093420771970, 0.831987370648492710, - 0.831638617286416190, - 0.831289833347364620, 0.830941018844162600, 0.830592173789634240, - 0.830243298196606360, - 0.829894392077905720, 0.829545455446360270, 0.829196488314800080, - 0.828847490696055010, - 0.828498462602957340, 0.828149404048339590, 0.827800315045035150, - 0.827451195605879990, - 0.827102045743709160, 0.826752865471360950, 0.826403654801672770, - 0.826054413747485010, - 0.825705142321637720, 0.825355840536972420, 0.825006508406332490, - 0.824657145942561230, - 0.824307753158504460, 0.823958330067008030, 0.823608876680918760, - 0.823259393013085820, - 0.822909879076357930, 0.822560334883586490, 0.822210760447622980, - 0.821861155781319800, - 0.821511520897531660, 0.821161855809112830, 0.820812160528920360, - 0.820462435069811090, - 0.820112679444643060, 0.819762893666276530, 0.819413077747571440, - 0.819063231701390170, - 0.818713355540594880, 0.818363449278050270, 0.818013512926620940, - 0.817663546499172720, - 0.817313550008573640, 0.816963523467691410, 0.816613466889396070, - 0.816263380286557980, - 0.815913263672048310, 0.815563117058740630, 0.815212940459508210, - 0.814862733887226740, - 0.814512497354771830, 0.814162230875020380, 0.813811934460851430, - 0.813461608125143560, - 0.813111251880778150, 0.812760865740636440, 0.812410449717600570, - 0.812060003824555230, - 0.811709528074384460, 0.811359022479975040, 0.811008487054213360, - 0.810657921809988410, - 0.810307326760189020, 0.809956701917705080, 0.809606047295428950, - 0.809255362906252440, - 0.808904648763069890, 0.808553904878775760, 0.808203131266265420, - 0.807852327938436750, - 0.807501494908186900, 0.807150632188415760, 0.806799739792023240, - 0.806448817731910130, - 0.806097866020979660, 0.805746884672134620, 0.805395873698280360, - 0.805044833112322000, - 0.804693762927166100, 0.804342663155721230, 0.803991533810895500, - 0.803640374905599810, - 0.803289186452744390, 0.802937968465242240, 0.802586720956006250, - 0.802235443937950320, - 0.801884137423990890, 0.801532801427043530, 0.801181435960026780, - 0.800830041035858750, - 0.800478616667459010, 0.800127162867749210, 0.799775679649650460, - 0.799424167026086540, - 0.799072625009981330, 0.798721053614259490, 0.798369452851848020, - 0.798017822735673680, - 0.797666163278665570, 0.797314474493752810, 0.796962756393865600, - 0.796611008991936490, - 0.796259232300897350, 0.795907426333682830, 0.795555591103226930, - 0.795203726622466520, - 0.794851832904338360, 0.794499909961779990, 0.794147957807731400, - 0.793795976455132220, - 0.793443965916924570, 0.793091926206050400, 0.792739857335452710, - 0.792387759318077150, - 0.792035632166868230, 0.791683475894773720, 0.791331290514740830, - 0.790979076039718180, - 0.790626832482656310, 0.790274559856505520, 0.789922258174218570, - 0.789569927448748320, - 0.789217567693048520, 0.788865178920075130, 0.788512761142783790, - 0.788160314374132590, - 0.787807838627079260, 0.787455333914584220, 0.787102800249607550, - 0.786750237645110430, - 0.786397646114056490, 0.786045025669408700, 0.785692376324132690, - 0.785339698091194080, - 0.784986990983559170, 0.784634255014197040, 0.784281490196075850, - 0.783928696542166680, - 0.783575874065440270, 0.783223022778868350, 0.782870142695425320, - 0.782517233828084580, - 0.782164296189822530, 0.781811329793615120, 0.781458334652439630, - 0.781105310779275470, - 0.780752258187101480, 0.780399176888899150, 0.780046066897649550, - 0.779692928226336290, - 0.779339760887942880, 0.778986564895453810, 0.778633340261856040, - 0.778280087000135730, - 0.777926805123281830, 0.777573494644283050, 0.777220155576129220, - 0.776866787931812410, - 0.776513391724324210, 0.776159966966658680, 0.775806513671809860, - 0.775453031852772920, - 0.775099521522545020, 0.774745982694123090, 0.774392415380506400, - 0.774038819594694230, - 0.773685195349686940, 0.773331542658487140, 0.772977861534096640, - 0.772624151989520280, - 0.772270414037761980, 0.771916647691828660, 0.771562852964726710, - 0.771209029869463940, - 0.770855178419050050, 0.770501298626494410, 0.770147390504808960, - 0.769793454067005500, - 0.769439489326096850, 0.769085496295098040, 0.768731474987023660, - 0.768377425414890850, - 0.768023347591716640, 0.767669241530518850, 0.767315107244318060, - 0.766960944746133740, - 0.766606754048988260, 0.766252535165903970, 0.765898288109903900, - 0.765544012894013530, - 0.765189709531257760, 0.764835378034664170, 0.764481018417259680, - 0.764126630692073870, - 0.763772214872136200, 0.763417770970477140, 0.763063299000129260, - 0.762708798974124800, - 0.762354270905498450, 0.761999714807284790, 0.761645130692519490, - 0.761290518574240350, - 0.760935878465484720, 0.760581210379292380, 0.760226514328703140, - 0.759871790326757670, - 0.759517038386499090, 0.759162258520969860, 0.758807450743214760, - 0.758452615066278920, - 0.758097751503208020, 0.757742860067050380, 0.757387940770853360, - 0.757032993627667290, - 0.756678018650541630, 0.756323015852528700, 0.755967985246680520, - 0.755612926846050080, - 0.755257840663692730, 0.754902726712663120, 0.754547585006018600, - 0.754192415556816380, - 0.753837218378114460, 0.753481993482973400, 0.753126740884452970, - 0.752771460595615500, - 0.752416152629523330, 0.752060816999239660, 0.751705453717829930, - 0.751350062798359140, - 0.750994644253894730, 0.750639198097504010, 0.750283724342255320, - 0.749928223001219310, - 0.749572694087465850, 0.749217137614067500, 0.748861553594096340, - 0.748505942040627040, - 0.748150302966733790, 0.747794636385492150, 0.747438942309979870, - 0.747083220753273820, - 0.746727471728453770, 0.746371695248599140, 0.746015891326790470, - 0.745660059976110400, - 0.745304201209641030, 0.744948315040467210, 0.744592401481673270, - 0.744236460546344850, - 0.743880492247569580, 0.743524496598434670, 0.743168473612029980, - 0.742812423301444810, - 0.742456345679769810, 0.742100240760097840, 0.741744108555520860, - 0.741387949079133860, - 0.741031762344030790, 0.740675548363308620, 0.740319307150063780, - 0.739963038717393880, - 0.739606743078398690, 0.739250420246177380, 0.738894070233831800, - 0.738537693054463370, - 0.738181288721174830, 0.737824857247070810, 0.737468398645255490, - 0.737111912928835710, - 0.736755400110918000, 0.736398860204609870, 0.736042293223021060, - 0.735685699179260850, - 0.735329078086440880, 0.734972429957672760, 0.734615754806068890, - 0.734259052644744230, - 0.733902323486812610, 0.733545567345390890, 0.733188784233595240, - 0.732831974164544150, - 0.732475137151356370, 0.732118273207151170, 0.731761382345050280, - 0.731404464578174760, - 0.731047519919648340, 0.730690548382594280, 0.730333549980137110, - 0.729976524725403530, - 0.729619472631519270, 0.729262393711613280, 0.728905287978813600, - 0.728548155446249730, - 0.728190996127053180, 0.727833810034354990, 0.727476597181288540, - 0.727119357580987220, - 0.726762091246585200, 0.726404798191218950, 0.726047478428024420, - 0.725690131970139980, - 0.725332758830703360, 0.724975359022855150, 0.724617932559735390, - 0.724260479454485130, - 0.723902999720247850, 0.723545493370166160, 0.723187960417385530, - 0.722830400875050790, - 0.722472814756308090, 0.722115202074305680, 0.721757562842191060, - 0.721399897073114470, - 0.721042204780225960, 0.720684485976676230, 0.720326740675618530, - 0.719968968890205230, - 0.719611170633591480, 0.719253345918932090, 0.718895494759382860, - 0.718537617168101610, - 0.718179713158245800, 0.717821782742975370, 0.717463825935449550, - 0.717105842748830160, - 0.716747833196278770, 0.716389797290958090, 0.716031735046032900, - 0.715673646474667140, - 0.715315531590027700, 0.714957390405280950, 0.714599222933594240, - 0.714241029188137260, - 0.713882809182079030, 0.713524562928591010, 0.713166290440844450, - 0.712807991732011590, - 0.712449666815266890, 0.712091315703784260, 0.711732938410739810, - 0.711374534949309800, - 0.711016105332671340, 0.710657649574003460, 0.710299167686484930, - 0.709940659683296890, - 0.709582125577619790, 0.709223565382636760, 0.708864979111530680, - 0.708506366777485130, - 0.708147728393686340, 0.707789063973319310, 0.707430373529572170, - 0.707071657075632460, - 0.706712914624688770, 0.706354146189931750, 0.705995351784551530, - 0.705636531421740880, - 0.705277685114692020, 0.704918812876598410, 0.704559914720655490, - 0.704200990660058150, - 0.703842040708003820, 0.703483064877689630, 0.703124063182313690, - 0.702765035635076310, - 0.702405982249177160, 0.702046903037818250, 0.701687798014201110, - 0.701328667191529980, - 0.700969510583008600, 0.700610328201841660, 0.700251120061236020, - 0.699891886174398130, - 0.699532626554536630, 0.699173341214860190, 0.698814030168578240, - 0.698454693428902320, - 0.698095331009043640, 0.697735942922215520, 0.697376529181631400, - 0.697017089800505250, - 0.696657624792053730, 0.696298134169492380, 0.695938617946039510, - 0.695579076134912990, - 0.695219508749331800, 0.694859915802517050, 0.694500297307689140, - 0.694140653278070950, - 0.693780983726884790, 0.693421288667355530, 0.693061568112707690, - 0.692701822076166820, - 0.692342050570960430, 0.691982253610315510, 0.691622431207461700, - 0.691262583375628180, - 0.690902710128045050, 0.690542811477944610, 0.690182887438558710, - 0.689822938023121220, - 0.689462963244866330, 0.689102963117028790, 0.688742937652845550, - 0.688382886865552930, - 0.688022810768389670, 0.687662709374594510, 0.687302582697406850, - 0.686942430750068330, - 0.686582253545819920, 0.686222051097905130, 0.685861823419566700, - 0.685501570524050140, - 0.685141292424600310, 0.684780989134463280, 0.684420660666887120, - 0.684060307035119440, - 0.683699928252410110, 0.683339524332008840, 0.682979095287166160, - 0.682618641131135020, - 0.682258161877167370, 0.681897657538517720, 0.681537128128440470, - 0.681176573660190910, - 0.680815994147026320, 0.680455389602203310, 0.680094760038981280, - 0.679734105470619080, - 0.679373425910376310, 0.679012721371515250, 0.678651991867297080, - 0.678291237410985510, - 0.677930458015843620, 0.677569653695137220, 0.677208824462131490, - 0.676847970330092700, - 0.676487091312289350, 0.676126187421989040, 0.675765258672461950, - 0.675404305076978020, - 0.675043326648808170, 0.674682323401225250, 0.674321295347501510, - 0.673960242500911690, - 0.673599164874730370, 0.673238062482232950, 0.672876935336696900, - 0.672515783451398950, - 0.672154606839618470, 0.671793405514634180, 0.671432179489727110, - 0.671070928778178090, - 0.670709653393269050, 0.670348353348283690, 0.669987028656505170, - 0.669625679331219300, - 0.669264305385711360, 0.668902906833267590, 0.668541483687176590, - 0.668180035960725840, - 0.667818563667205600, 0.667457066819905800, 0.667095545432117240, - 0.666733999517132860, - 0.666372429088244790, 0.666010834158747840, 0.665649214741936390, - 0.665287570851105680, - 0.664925902499553190, 0.664564209700575500, 0.664202492467472090, - 0.663840750813541210, - 0.663478984752084110, 0.663117194296401260, 0.662755379459794350, - 0.662393540255567070, - 0.662031676697022450, 0.661669788797465960, 0.661307876570202740, - 0.660945940028538900, - 0.660583979185782600, 0.660221994055241400, 0.659859984650225110, - 0.659497950984043510, - 0.659135893070007080, 0.658773810921428500, 0.658411704551619570, - 0.658049573973894850, - 0.657687419201568260, 0.657325240247955020, 0.656963037126372160, - 0.656600809850135910, - 0.656238558432565400, 0.655876282886978410, 0.655513983226695960, - 0.655151659465038060, - 0.654789311615326050, 0.654426939690883280, 0.654064543705032310, - 0.653702123671098150, - 0.653339679602405470, 0.652977211512280050, 0.652614719414049580, - 0.652252203321041060, - 0.651889663246583930, 0.651527099204007310, 0.651164511206641320, - 0.650801899267818060, - 0.650439263400868990, 0.650076603619127890, 0.649713919935928420, - 0.649351212364604910, - 0.648988480918494040, 0.648625725610931460, 0.648262946455255510, - 0.647900143464803730, - 0.647537316652916140, 0.647174466032932490, 0.646811591618193350, - 0.646448693422041360, - 0.646085771457818310, 0.645722825738868860, 0.645359856278536980, - 0.644996863090167570, - 0.644633846187107620, 0.644270805582703550, 0.643907741290304040, - 0.643544653323257610, - 0.643181541694913480, 0.642818406418622980, 0.642455247507736860, - 0.642092064975608220, - 0.641728858835589830, 0.641365629101035340, 0.641002375785300500, - 0.640639098901740200, - 0.640275798463712080, 0.639912474484572560, 0.639549126977681070, - 0.639185755956396480, - 0.638822361434078330, 0.638458943424088490, 0.638095501939787920, - 0.637732036994540290, - 0.637368548601708660, 0.637005036774657030, 0.636641501526751590, - 0.636277942871357530, - 0.635914360821842830, 0.635550755391574910, 0.635187126593922070, - 0.634823474442254840, - 0.634459798949942640, 0.634096100130357660, 0.633732377996871770, - 0.633368632562857470, - 0.633004863841689520, 0.632641071846741790, 0.632277256591390780, - 0.631913418089012020, - 0.631549556352983710, 0.631185671396683470, 0.630821763233490040, - 0.630457831876783950, - 0.630093877339945260, 0.629729899636356280, 0.629365898779399080, - 0.629001874782456500, - 0.628637827658913300, 0.628273757422153860, 0.627909664085564810, - 0.627545547662532230, - 0.627181408166443410, 0.626817245610687520, 0.626453060008652860, - 0.626088851373730380, - 0.625724619719310480, 0.625360365058784670, 0.624996087405546350, - 0.624631786772988030, - 0.624267463174504880, 0.623903116623491180, 0.623538747133343780, - 0.623174354717459190, - 0.622809939389234460, 0.622445501162069090, 0.622081040049361490, - 0.621716556064512820, - 0.621352049220923570, 0.620987519531995270, 0.620622967011131400, - 0.620258391671734690, - 0.619893793527210410, 0.619529172590963410, 0.619164528876399280, - 0.618799862396925750, - 0.618435173165949760, 0.618070461196880800, 0.617705726503127720, - 0.617340969098100430, - 0.616976188995210780, 0.616611386207870040, 0.616246560749491690, - 0.615881712633488340, - 0.615516841873275490, 0.615151948482267840, 0.614787032473881110, - 0.614422093861533010, - 0.614057132658640590, 0.613692148878623000, 0.613327142534899510, - 0.612962113640889710, - 0.612597062210015750, 0.612231988255698470, 0.611866891791361560, - 0.611501772830428060, - 0.611136631386322020, 0.610771467472469460, 0.610406281102295440, - 0.610041072289227990, - 0.609675841046694030, 0.609310587388121830, 0.608945311326941520, - 0.608580012876582370, - 0.608214692050476290, 0.607849348862054220, 0.607483983324749510, - 0.607118595451995420, - 0.606753185257225550, 0.606387752753876020, 0.606022297955381760, - 0.605656820875180360, - 0.605291321526709060, 0.604925799923405670, 0.604560256078710220, - 0.604194690006061960, - 0.603829101718902580, 0.603463491230673220, 0.603097858554815790, - 0.602732203704774650, - 0.602366526693992930, 0.602000827535916330, 0.601635106243990190, - 0.601269362831660550, - 0.600903597312375640, 0.600537809699582810, 0.600172000006731770, - 0.599806168247271620, - 0.599440314434653620, 0.599074438582328780, 0.598708540703749010, - 0.598342620812368000, - 0.597976678921638860, 0.597610715045016950, 0.597244729195957500, - 0.596878721387916090, - 0.596512691634350830, 0.596146639948718640, 0.595780566344478960, - 0.595414470835091030, - 0.595048353434014630, 0.594682214154711790, 0.594316053010643270, - 0.593949870015273000, - 0.593583665182063740, 0.593217438524479500, 0.592851190055986300, - 0.592484919790049140, - 0.592118627740135460, 0.591752313919712170, 0.591385978342248260, - 0.591019621021212420, - 0.590653241970074180, 0.590286841202305120, 0.589920418731375800, - 0.589553974570759530, - 0.589187508733928890, 0.588821021234357310, 0.588454512085520460, - 0.588087981300892900, - 0.587721428893951850, 0.587354854878173850, 0.586988259267036350, - 0.586621642074019120, - 0.586255003312600500, 0.585888342996261690, 0.585521661138483250, - 0.585154957752746730, - 0.584788232852535560, 0.584421486451332410, 0.584054718562622140, - 0.583687929199888990, - 0.583321118376619710, 0.582954286106300290, 0.582587432402417840, - 0.582220557278461340, - 0.581853660747918780, 0.581486742824280810, 0.581119803521037650, - 0.580752842851679940, - 0.580385860829700780, 0.580018857468592270, 0.579651832781848730, - 0.579284786782964360, - 0.578917719485433800, 0.578550630902754050, 0.578183521048421080, - 0.577816389935933090, - 0.577449237578788300, 0.577082063990485340, 0.576714869184524860, - 0.576347653174406840, - 0.575980415973633590, 0.575613157595706530, 0.575245878054129520, - 0.574878577362406000, - 0.574511255534040030, 0.574143912582537940, 0.573776548521405030, - 0.573409163364148930, - 0.573041757124277180, 0.572674329815297640, 0.572306881450720390, - 0.571939412044054740, - 0.571571921608812320, 0.571204410158504090, 0.570836877706642270, - 0.570469324266740570, - 0.570101749852312100, 0.569734154476872480, 0.569366538153936560, - 0.568998900897020210, - 0.568631242719641270, 0.568263563635316600, 0.567895863657565500, - 0.567528142799906490, - 0.567160401075860410, 0.566792638498947680, 0.566424855082689470, - 0.566057050840608870, - 0.565689225786228160, 0.565321379933072190, 0.564953513294665140, - 0.564585625884531870, - 0.564217717716199550, 0.563849788803194140, 0.563481839159044150, - 0.563113868797277870, - 0.562745877731423820, 0.562377865975012940, 0.562009833541575080, - 0.561641780444642640, - 0.561273706697747450, 0.560905612314422150, 0.560537497308201240, - 0.560169361692618440, - 0.559801205481210040, 0.559433028687510990, 0.559064831325059240, - 0.558696613407391630, - 0.558328374948046320, 0.557960115960563050, 0.557591836458480870, - 0.557223536455341280, - 0.556855215964685120, 0.556486875000054000, 0.556118513574991650, - 0.555750131703040880, - 0.555381729397746880, 0.555013306672654360, 0.554644863541308600, - 0.554276400017257090, - 0.553907916114046440, 0.553539411845225590, 0.553170887224342820, - 0.552802342264947400, - 0.552433776980590490, 0.552065191384822350, 0.551696585491195710, - 0.551327959313262280, - 0.550959312864576220, 0.550590646158691240, 0.550221959209161620, - 0.549853252029543830, - 0.549484524633393480, 0.549115777034268170, 0.548747009245725500, - 0.548378221281323520, - 0.548009413154622370, 0.547640584879181100, 0.547271736468561530, - 0.546902867936324590, - 0.546533979296032200, 0.546165070561248080, 0.545796141745535150, - 0.545427192862458780, - 0.545058223925583670, 0.544689234948475210, 0.544320225944701200, - 0.543951196927828010, - 0.543582147911424560, 0.543213078909059120, 0.542843989934301940, - 0.542474881000723050, - 0.542105752121893050, 0.541736603311384620, 0.541367434582769480, - 0.540998245949621760, - 0.540629037425515050, 0.540259809024023600, 0.539890560758723770, - 0.539521292643190930, - 0.539152004691002770, 0.538782696915736770, 0.538413369330970610, - 0.538044021950284450, - 0.537674654787257180, 0.537305267855470390, 0.536935861168504670, - 0.536566434739941920, - 0.536196988583365510, 0.535827522712358230, 0.535458037140505110, - 0.535088531881390050, - 0.534719006948599860, 0.534349462355720230, 0.533979898116337950, - 0.533610314244041710, - 0.533240710752419080, 0.532871087655060300, 0.532501444965554960, - 0.532131782697493170, - 0.531762100864467290, 0.531392399480068670, 0.531022678557890980, - 0.530652938111527360, - 0.530283178154571710, 0.529913398700619820, 0.529543599763266700, - 0.529173781356109600, - 0.528803943492745180, 0.528434086186771010, 0.528064209451786560, - 0.527694313301390160, - 0.527324397749182720, 0.526954462808764120, 0.526584508493736840, - 0.526214534817702310, - 0.525844541794263210, 0.525474529437023890, 0.525104497759587900, - 0.524734446775560910, - 0.524364376498548390, 0.523994286942156220, 0.523624178119992400, - 0.523254050045663940, - 0.522883902732780290, 0.522513736194950230, 0.522143550445783310, - 0.521773345498891090, - 0.521403121367884030, 0.521032878066375100, 0.520662615607976660, - 0.520292334006301820, - 0.519922033274965560, 0.519551713427582000, 0.519181374477767470, - 0.518811016439137520, - 0.518440639325310040, 0.518070243149902240, 0.517699827926532130, - 0.517329393668819580, - 0.516958940390383700, 0.516588468104845820, 0.516217976825826600, - 0.515847466566947580, - 0.515476937341832310, 0.515106389164103120, 0.514735822047384990, - 0.514365236005302040, - 0.513994631051479240, 0.513624007199543600, 0.513253364463121090, - 0.512882702855839920, - 0.512512022391327980, 0.512141323083213470, 0.511770604945127050, - 0.511399867990697920, - 0.511029112233557960, 0.510658337687338040, 0.510287544365671140, - 0.509916732282189920, - 0.509545901450527690, 0.509175051884319660, 0.508804183597200140, - 0.508433296602805670, - 0.508062390914772230, 0.507691466546736580, 0.507320523512337470, - 0.506949561825212450, - 0.506578581499001590, 0.506207582547344550, 0.505836564983881190, - 0.505465528822253710, - 0.505094474076103310, 0.504723400759073290, 0.504352308884806750, - 0.503981198466947000, - 0.503610069519139780, 0.503238922055029400, 0.502867756088262840, - 0.502496571632486070, - 0.502125368701347050, 0.501754147308493770, 0.501382907467574190, - 0.501011649192238950, - 0.500640372496137020, 0.500269077392920150, 0.499897763896239410, - 0.499526432019746450, - 0.499155081777094940, 0.498783713181937540, 0.498412326247929250, - 0.498040920988724490, - 0.497669497417978280, 0.497298055549347750, 0.496926595396488870, - 0.496555116973059980, - 0.496183620292718900, 0.495812105369124070, 0.495440572215935850, - 0.495069020846813650, - 0.494697451275419140, 0.494325863515413130, 0.493954257580458580, - 0.493582633484217940, - 0.493210991240354450, 0.492839330862533120, 0.492467652364417970, - 0.492095955759675460, - 0.491724241061971320, 0.491352508284972070, 0.490980757442346090, - 0.490608988547760690, - 0.490237201614885710, 0.489865396657390210, 0.489493573688943970, - 0.489121732723218740, - 0.488749873773885120, 0.488377996854616250, 0.488006101979084450, - 0.487634189160962910, - 0.487262258413926560, 0.486890309751649490, 0.486518343187807900, - 0.486146358736077200, - 0.485774356410135000, 0.485402336223658360, 0.485030298190324950, - 0.484658242323814380, - 0.484286168637805270, 0.483914077145978560, 0.483541967862014480, - 0.483169840799594130, - 0.482797695972400300, 0.482425533394114920, 0.482053353078422120, - 0.481681155039005550, - 0.481308939289549380, 0.480936705843739820, 0.480564454715261990, - 0.480192185917803270, - 0.479819899465050160, 0.479447595370691370, 0.479075273648415010, - 0.478702934311909910, - 0.478330577374866780, 0.477958202850975230, 0.477585810753927250, - 0.477213401097414220, - 0.476840973895128200, 0.476468529160763100, 0.476096066908011760, - 0.475723587150569390, - 0.475351089902130650, 0.474978575176390750, 0.474606042987046840, - 0.474233493347795020, - 0.473860926272333670, 0.473488341774360670, 0.473115739867574380, - 0.472743120565675250, - 0.472370483882362520, 0.471997829831337810, 0.471625158426301700, - 0.471252469680957190, - 0.470879763609006460, 0.470507040224152460, 0.470134299540099940, - 0.469761541570552780, - 0.469388766329217000, 0.469015973829798090, 0.468643164086002100, - 0.468270337111537040, - 0.467897492920109850, 0.467524631525429830, 0.467151752941205530, - 0.466778857181146260, - 0.466405944258963200, 0.466033014188366350, 0.465660066983068220, - 0.465287102656780530, - 0.464914121223215740, 0.464541122696088100, 0.464168107089110940, - 0.463795074415999760, - 0.463422024690469060, 0.463048957926235630, 0.462675874137015720, - 0.462302773336526080, - 0.461929655538485470, 0.461556520756611410, 0.461183369004623920, - 0.460810200296242310, - 0.460437014645186440, 0.460063812065178160, 0.459690592569938270, - 0.459317356173189750, - 0.458944102888655060, 0.458570832730057170, 0.458197545711121090, - 0.457824241845570630, - 0.457450921147131930, 0.457077583629530550, 0.456704229306492570, - 0.456330858191746010, - 0.455957470299017840, 0.455584065642037350, 0.455210644234532610, - 0.454837206090234200, - 0.454463751222871910, 0.454090279646176210, 0.453716791373879380, - 0.453343286419712720, - 0.452969764797409750, 0.452596226520703360, 0.452222671603327130, - 0.451849100059016350, - 0.451475511901505420, 0.451101907144530910, 0.450728285801828830, - 0.450354647887135640, - 0.449980993414189900, 0.449607322396728900, 0.449233634848492320, - 0.448859930783219170, - 0.448486210214649020, 0.448112473156523420, 0.447738719622582710, - 0.447364949626569590, - 0.446991163182225700, 0.446617360303294910, 0.446243541003520480, - 0.445869705296646270, - 0.445495853196417930, 0.445121984716580210, 0.444748099870879880, - 0.444374198673063330, - 0.444000281136877280, 0.443626347276070590, 0.443252397104390790, - 0.442878430635587910, - 0.442504447883411090, 0.442130448861610240, 0.441756433583937120, - 0.441382402064142250, - 0.441008354315978680, 0.440634290353198510, 0.440260210189554690, - 0.439886113838801880, - 0.439512001314693700, 0.439137872630986080, 0.438763727801433690, - 0.438389566839793740, - 0.438015389759822630, 0.437641196575277220, 0.437266987299916590, - 0.436892761947498260, - 0.436518520531782470, 0.436144263066528480, 0.435769989565496290, - 0.435395700042447710, - 0.435021394511143410, 0.434647072985346380, 0.434272735478819010, - 0.433898382005324050, - 0.433524012578626440, 0.433149627212489670, 0.432775225920679740, - 0.432400808716961900, - 0.432026375615101930, 0.431651926628867530, 0.431277461772025310, - 0.430902981058344070, - 0.430528484501591540, 0.430153972115537800, 0.429779443913952170, - 0.429404899910604490, - 0.429030340119266550, 0.428655764553708960, 0.428281173227704760, - 0.427906566155026040, - 0.427531943349445720, 0.427157304824738350, 0.426782650594677570, - 0.426407980673039090, - 0.426033295073598160, 0.425658593810130330, 0.425283876896413280, - 0.424909144346223290, - 0.424534396173339160, 0.424159632391538870, 0.423784853014600950, - 0.423410058056305830, - 0.423035247530432810, 0.422660421450763490, 0.422285579831078230, - 0.421910722685159720, - 0.421535850026790060, 0.421160961869751720, 0.420786058227829220, - 0.420411139114805770, - 0.420036204544466940, 0.419661254530597550, 0.419286289086983070, - 0.418911308227410740, - 0.418536311965666650, 0.418161300315539220, 0.417786273290816130, - 0.417411230905285650, - 0.417036173172737830, 0.416661100106961610, 0.416286011721748230, - 0.415910908030888200, - 0.415535789048172620, 0.415160654787394280, 0.414785505262345030, - 0.414410340486818910, - 0.414035160474608700, 0.413659965239509710, 0.413284754795316230, - 0.412909529155823300, - 0.412534288334827750, 0.412159032346125280, 0.411783761203513790, - 0.411408474920790520, - 0.411033173511753220, 0.410657856990201580, 0.410282525369933980, - 0.409907178664751180, - 0.409531816888453190, 0.409156440054840590, 0.408781048177715660, - 0.408405641270879690, - 0.408030219348136270, 0.407654782423288010, 0.407279330510138260, - 0.406903863622492260, - 0.406528381774153900, 0.406152884978929480, 0.405777373250624070, - 0.405401846603045010, - 0.405026305049998980, 0.404650748605293040, 0.404275177282736260, - 0.403899591096136380, - 0.403523990059303620, 0.403148374186047210, 0.402772743490177110, - 0.402397097985504990, - 0.402021437685841480, 0.401645762604999350, 0.401270072756790610, - 0.400894368155027990, - 0.400518648813525830, 0.400142914746097480, 0.399767165966558420, - 0.399391402488723400, - 0.399015624326407800, 0.398639831493428740, 0.398264024003602220, - 0.397888201870746420, - 0.397512365108678430, 0.397136513731217500, 0.396760647752182230, - 0.396384767185391620, - 0.396008872044666730, 0.395632962343827170, 0.395257038096694990, - 0.394881099317091370, - 0.394505146018838130, 0.394129178215758820, 0.393753195921675850, - 0.393377199150413860, - 0.393001187915796750, 0.392625162231649010, 0.392249122111796800, - 0.391873067570065240, - 0.391496998620281590, 0.391120915276272410, 0.390744817551864850, - 0.390368705460887750, - 0.389992579017168830, 0.389616438234538010, 0.389240283126824070, - 0.388864113707858060, - 0.388487929991470140, 0.388111731991491180, 0.387735519721753690, - 0.387359293196089140, - 0.386983052428331030, 0.386606797432312350, 0.386230528221866430, - 0.385854244810828530, - 0.385477947213032580, 0.385101635442314900, 0.384725309512510880, - 0.384348969437456610, - 0.383972615230989860, 0.383596246906947210, 0.383219864479167560, - 0.382843467961488940, - 0.382467057367749940, 0.382090632711791060, 0.381714194007451380, - 0.381337741268572390, - 0.380961274508994250, 0.380584793742559550, 0.380208298983109930, - 0.379831790244487540, - 0.379455267540536490, 0.379078730885099520, 0.378702180292021630, - 0.378325615775147170, - 0.377949037348320800, 0.377572445025389230, 0.377195838820197690, - 0.376819218746593910, - 0.376442584818424570, 0.376065937049537060, 0.375689275453780500, - 0.375312600045002780, - 0.374935910837054080, 0.374559207843783660, 0.374182491079041500, - 0.373805760556679190, - 0.373429016290547200, 0.373052258294498230, 0.372675486582383640, - 0.372298701168057190, - 0.371921902065371730, 0.371545089288180640, 0.371168262850339210, - 0.370791422765701320, - 0.370414569048123140, 0.370037701711460170, 0.369660820769568240, - 0.369283926236305070, - 0.368907018125527120, 0.368530096451093140, 0.368153161226860980, - 0.367776212466689010, - 0.367399250184437480, 0.367022274393965340, 0.366645285109133750, - 0.366268282343803150, - 0.365891266111834370, 0.365514236427090080, 0.365137193303431750, - 0.364760136754723020, - 0.364383066794826350, 0.364005983437606320, 0.363628886696926890, - 0.363251776586652310, - 0.362874653120648700, 0.362497516312780990, 0.362120366176916230, - 0.361743202726920790, - 0.361366025976661450, 0.360988835940006750, 0.360611632630824020, - 0.360234416062982840, - 0.359857186250351960, 0.359479943206800550, 0.359102686946199680, - 0.358725417482419150, - 0.358348134829330870, 0.357970839000806010, 0.357593530010716310, - 0.357216207872935120, - 0.356838872601334680, 0.356461524209789380, 0.356084162712172360, - 0.355706788122359060, - 0.355329400454223950, 0.354951999721642100, 0.354574585938490280, - 0.354197159118644080, - 0.353819719275981330, 0.353442266424378930, 0.353064800577714280, - 0.352687321749866610, - 0.352309829954713830, 0.351932325206136210, 0.351554807518012990, - 0.351177276904224070, - 0.350799733378650890, 0.350422176955173910, 0.350044607647675640, - 0.349667025470037810, - 0.349289430436142520, 0.348911822559873850, 0.348534201855114360, - 0.348156568335749040, - 0.347778922015661520, 0.347401262908737570, 0.347023591028862320, - 0.346645906389921150, - 0.346268209005801410, 0.345890498890388980, 0.345512776057572080, - 0.345135040521238170, - 0.344757292295274910, 0.344379531393571970, 0.344001757830017680, - 0.343623971618502560, - 0.343246172772916250, 0.342868361307148980, 0.342490537235092600, - 0.342112700570637750, - 0.341734851327677280, 0.341356989520103240, 0.340979115161808070, - 0.340601228266685980, - 0.340223328848629880, 0.339845416921535030, 0.339467492499295200, - 0.339089555595806560, - 0.338711606224964210, 0.338333644400663940, 0.337955670136803170, - 0.337577683447278010, - 0.337199684345986910, 0.336821672846827290, 0.336443648963697160, - 0.336065612710496290, - 0.335687564101123050, 0.335309503149478110, 0.334931429869461230, - 0.334553344274972690, - 0.334175246379914470, 0.333797136198187240, 0.333419013743693980, - 0.333040879030336690, - 0.332662732072017800, 0.332284572882641680, 0.331906401476111280, - 0.331528217866331690, - 0.331150022067206780, 0.330771814092642610, 0.330393593956544440, - 0.330015361672817750, - 0.329637117255370090, 0.329258860718107450, 0.328880592074938190, - 0.328502311339769700, - 0.328124018526509800, 0.327745713649068180, 0.327367396721353070, - 0.326989067757275040, - 0.326610726770743760, 0.326232373775669270, 0.325854008785963320, - 0.325475631815536570, - 0.325097242878301660, 0.324718841988170470, 0.324340429159055250, - 0.323962004404870050, - 0.323583567739527570, 0.323205119176942720, 0.322826658731029110, - 0.322448186415702550, - 0.322069702244877910, 0.321691206232470550, 0.321312698392397570, - 0.320934178738574720, - 0.320555647284919980, 0.320177104045350440, 0.319798549033783570, - 0.319419982264138650, - 0.319041403750333630, 0.318662813506288670, 0.318284211545923010, - 0.317905597883156250, - 0.317526972531909870, 0.317148335506103940, 0.316769686819660780, - 0.316391026486501690, - 0.316012354520548600, 0.315633670935725030, 0.315254975745953180, - 0.314876268965157470, - 0.314497550607261090, 0.314118820686189180, 0.313740079215866160, - 0.313361326210216840, - 0.312982561683167790, 0.312603785648644220, 0.312224998120573420, - 0.311846199112882030, - 0.311467388639496860, 0.311088566714346650, 0.310709733351358600, - 0.310330888564462340, - 0.309952032367586390, 0.309573164774659850, 0.309194285799613390, - 0.308815395456376430, - 0.308436493758880660, 0.308057580721056660, 0.307678656356835560, - 0.307299720680150270, - 0.306920773704932260, 0.306541815445115160, 0.306162845914631390, - 0.305783865127415400, - 0.305404873097400780, 0.305025869838521590, 0.304646855364713530, - 0.304267829689911010, - 0.303888792828050650, 0.303509744793068030, 0.303130685598899270, - 0.302751615259482190, - 0.302372533788753170, 0.301993441200650910, 0.301614337509113100, - 0.301235222728077840, - 0.300856096871485010, 0.300476959953273060, 0.300097811987382670, - 0.299718652987753580, - 0.299339482968325970, 0.298960301943041680, 0.298581109925841300, - 0.298201906930667390, - 0.297822692971461410, 0.297443468062166820, 0.297064232216726120, - 0.296684985449082390, - 0.296305727773180260, 0.295926459202963120, 0.295547179752376430, - 0.295167889435364820, - 0.294788588265873170, 0.294409276257848300, 0.294029953425235520, - 0.293650619781982260, - 0.293271275342035120, 0.292891920119341120, 0.292512554127848930, - 0.292133177381505850, - 0.291753789894261320, 0.291374391680063520, 0.290994982752862730, - 0.290615563126608250, - 0.290236132815249790, 0.289856691832738880, 0.289477240193025510, - 0.289097777910061970, - 0.288718304997799550, 0.288338821470189910, 0.287959327341186510, - 0.287579822624741350, - 0.287200307334808670, 0.286820781485341620, 0.286441245090293950, - 0.286061698163620930, - 0.285682140719276560, 0.285302572771216960, 0.284922994333397350, - 0.284543405419773240, - 0.284163806044301910, 0.283784196220939370, 0.283404575963643550, - 0.283024945286371230, - 0.282645304203081090, 0.282265652727731130, 0.281885990874279570, - 0.281506318656686290, - 0.281126636088910030, 0.280746943184911340, 0.280367239958650150, - 0.279987526424086530, - 0.279607802595182420, 0.279228068485898210, 0.278848324110196550, - 0.278468569482039130, - 0.278088804615388040, 0.277709029524206950, 0.277329244222458250, - 0.276949448724106480, - 0.276569643043115150, 0.276189827193448200, 0.275810001189071290, - 0.275430165043948570, - 0.275050318772046500, 0.274670462387330010, 0.274290595903766200, - 0.273910719335321300, - 0.273530832695961790, 0.273150935999655950, 0.272771029260370560, - 0.272391112492074590, - 0.272011185708736060, 0.271631248924323390, 0.271251302152806570, - 0.270871345408154380, - 0.270491378704337540, 0.270111402055325910, 0.269731415475089780, - 0.269351418977600950, - 0.268971412576829990, 0.268591396286749500, 0.268211370121331170, - 0.267831334094547010, - 0.267451288220370730, 0.267071232512774700, 0.266691166985733360, - 0.266311091653219700, - 0.265931006529208920, 0.265550911627675250, 0.265170806962593210, - 0.264790692547939020, - 0.264410568397687560, 0.264030434525815760, 0.263650290946299660, - 0.263270137673115630, - 0.262889974720241610, 0.262509802101654310, 0.262129619831332370, - 0.261749427923253670, - 0.261369226391396310, 0.260989015249740050, 0.260608794512263380, - 0.260228564192946710, - 0.259848324305769600, 0.259468074864711960, 0.259087815883755400, - 0.258707547376880010, - 0.258327269358068100, 0.257946981841300490, 0.257566684840560170, - 0.257186378369829110, - 0.256806062443089680, 0.256425737074325920, 0.256045402277520320, - 0.255665058066657680, - 0.255284704455721660, 0.254904341458696390, 0.254523969089567590, - 0.254143587362319620, - 0.253763196290938850, 0.253382795889410710, 0.253002386171721110, - 0.252621967151857420, - 0.252241538843805680, 0.251861101261554090, 0.251480654419089730, - 0.251100198330400150, - 0.250719733009474530, 0.250339258470300590, 0.249958774726868170, - 0.249578281793165680, - 0.249197779683183660, 0.248817268410911650, 0.248436747990339490, - 0.248056218435458720, - 0.247675679760259450, 0.247295131978733870, 0.246914575104873220, - 0.246534009152669040, - 0.246153434136114490, 0.245772850069201410, 0.245392256965923620, - 0.245011654840274010, - 0.244631043706245800, 0.244250423577833860, 0.243869794469031620, - 0.243489156393834590, - 0.243108509366237320, 0.242727853400234670, 0.242347188509823150, - 0.241966514708997830, - 0.241585832011755900, 0.241205140432093070, 0.240824439984007180, - 0.240443730681495050, - 0.240063012538553830, 0.239682285569182310, 0.239301549787377890, - 0.238920805207139960, - 0.238540051842467020, 0.238159289707357810, 0.237778518815812740, - 0.237397739181830820, - 0.237016950819413100, 0.236636153742559610, 0.236255347965270780, - 0.235874533501548580, - 0.235493710365393630, 0.235112878570808560, 0.234732038131795020, - 0.234351189062355030, - 0.233970331376492150, 0.233589465088208580, 0.233208590211508550, - 0.232827706760394850, - 0.232446814748872410, 0.232065914190945020, 0.231685005100616930, - 0.231304087491893930, - 0.230923161378780380, 0.230542226775282770, 0.230161283695406500, - 0.229780332153157300, - 0.229399372162542610, 0.229018403737568290, 0.228637426892242400, - 0.228256441640571880, - 0.227875447996564060, 0.227494445974227850, 0.227113435587570770, - 0.226732416850602300, - 0.226351389777330990, 0.225970354381765690, 0.225589310677916880, - 0.225208258679793520, - 0.224827198401406690, 0.224446129856766040, 0.224065053059883250, - 0.223683968024768950, - 0.223302874765434120, 0.222921773295891380, 0.222540663630151820, - 0.222159545782228660, - 0.221778419766134050, 0.221397285595880480, 0.221016143285482050, - 0.220634992848951380, - 0.220253834300303180, 0.219872667653551100, 0.219491492922709110, - 0.219110310121792800, - 0.218729119264816280, 0.218347920365795780, 0.217966713438746380, - 0.217585498497683580, - 0.217204275556624420, 0.216823044629584520, 0.216441805730581500, - 0.216060558873631570, - 0.215679304072752960, 0.215298041341962870, 0.214916770695278810, - 0.214535492146719880, - 0.214154205710303750, 0.213772911400050090, 0.213391609229977570, - 0.213010299214105140, - 0.212628981366453330, 0.212247655701041290, 0.211866322231890090, - 0.211484980973019880, - 0.211103631938451000, 0.210722275142205480, 0.210340910598303870, - 0.209959538320768660, - 0.209578158323621420, 0.209196770620883960, 0.208815375226579670, - 0.208433972154730530, - 0.208052561419360520, 0.207671143034492080, 0.207289717014149830, - 0.206908283372357230, - 0.206526842123138070, 0.206145393280517730, 0.205763936858520150, - 0.205382472871171230, - 0.205001001332495910, 0.204619522256519300, 0.204238035657268250, - 0.203856541548768030, - 0.203475039945045950, 0.203093530860128300, 0.202712014308041620, - 0.202330490302814110, - 0.201948958858472420, 0.201567419989045200, 0.201185873708560170, - 0.200804320031045230, - 0.200422758970529910, 0.200041190541042220, 0.199659614756612230, - 0.199278031631268500, - 0.198896441179041650, 0.198514843413961220, 0.198133238350057030, - 0.197751626001360480, - 0.197370006381901520, 0.196988379505712050, 0.196606745386822960, - 0.196225104039265410, - 0.195843455477072190, 0.195461799714274460, 0.195080136764905570, - 0.194698466642997730, - 0.194316789362583340, 0.193935104937696560, 0.193553413382369890, - 0.193171714710637930, - 0.192790008936534220, 0.192408296074092570, 0.192026576137348330, - 0.191644849140335360, - 0.191263115097089540, 0.190881374021645320, 0.190499625928039040, - 0.190117870830306100, - 0.189736108742482030, 0.189354339678604100, 0.188972563652707950, - 0.188590780678831250, - 0.188208990771010640, 0.187827193943283040, 0.187445390209686870, - 0.187063579584259070, - 0.186681762081038650, 0.186299937714063470, 0.185918106497371700, - 0.185536268445003070, - 0.185154423570995760, 0.184772571889390000, 0.184390713414225000, - 0.184008848159540110, - 0.183626976139376310, 0.183245097367773090, 0.182863211858771880, - 0.182481319626412670, - 0.182099420684737420, 0.181717515047787020, 0.181335602729602590, - 0.180953683744226880, - 0.180571758105701030, 0.180189825828068250, 0.179807886925370670, - 0.179425941411650660, - 0.179043989300952110, 0.178662030607317450, 0.178280065344791100, - 0.177898093527416370, - 0.177516115169236820, 0.177134130284297610, 0.176752138886642350, - 0.176370140990316640, - 0.175988136609365020, 0.175606125757832240, 0.175224108449764660, - 0.174842084699207030, - 0.174460054520206240, 0.174078017926807490, 0.173695974933058080, - 0.173313925553004180, - 0.172931869800692250, 0.172549807690170230, 0.172167739235484620, - 0.171785664450683800, - 0.171403583349815180, 0.171021495946926340, 0.170639402256066410, - 0.170257302291283000, - 0.169875196066625710, 0.169493083596143100, 0.169110964893883830, - 0.168728839973898290, - 0.168346708850235140, 0.167964571536945220, 0.167582428048078130, - 0.167200278397683750, - 0.166818122599813570, 0.166435960668517400, 0.166053792617847200, - 0.165671618461853270, - 0.165289438214587970, 0.164907251890102520, 0.164525059502448390, - 0.164142861065678550, - 0.163760656593844480, 0.163378446100999640, 0.162996229601196390, - 0.162614007108487250, - 0.162231778636926370, 0.161849544200566300, 0.161467303813461580, - 0.161085057489665670, - 0.160702805243232240, 0.160320547088216470, 0.159938283038672050, - 0.159556013108654580, - 0.159173737312218650, 0.158791455663418930, 0.158409168176311760, - 0.158026874864951870, - 0.157644575743395960, 0.157262270825699210, 0.156879960125918730, - 0.156497643658110590, - 0.156115321436331000, 0.155732993474637760, 0.155350659787087090, - 0.154968320387737170, - 0.154585975290645110, 0.154203624509868190, 0.153821268059465250, - 0.153438905953493550, - 0.153056538206012340, 0.152674164831079730, 0.152291785842754070, - 0.151909401255095250, - 0.151527011082161540, 0.151144615338013210, 0.150762214036709470, - 0.150379807192309620, - 0.149997394818874590, 0.149614976930463660, 0.149232553541138180, - 0.148850124664957870, - 0.148467690315984390, 0.148085250508278370, 0.147702805255900570, - 0.147320354572913260, - 0.146937898473377210, 0.146555436971355090, 0.146172970080908520, - 0.145790497816099230, - 0.145408020190990560, 0.145025537219644170, 0.144643048916123810, - 0.144260555294492000, - 0.143878056368811510, 0.143495552153146630, 0.143113042661560050, - 0.142730527908116440, - 0.142348007906879320, 0.141965482671912420, 0.141582952217280980, - 0.141200416557048680, - 0.140817875705281120, 0.140435329676042390, 0.140052778483398480, - 0.139670222141414250, - 0.139287660664154770, 0.138905094065686600, 0.138522522360074780, - 0.138139945561386200, - 0.137757363683686740, 0.137374776741042340, 0.136992184747520560, - 0.136609587717187310, - 0.136226985664110460, 0.135844378602356760, 0.135461766545993150, - 0.135079149509088060, - 0.134696527505708320, 0.134313900549922760, 0.133931268655799020, - 0.133548631837404950, - 0.133165990108809860, 0.132783343484081580, 0.132400691977289760, - 0.132018035602502530, - 0.131635374373789940, 0.131252708305220960, 0.130870037410864640, - 0.130487361704791580, - 0.130104681201070800, 0.129721995913773260, 0.129339305856968730, - 0.128956611044727220, - 0.128573911491120210, 0.128191207210217570, 0.127808498216091110, - 0.127425784522811530, - 0.127043066144449680, 0.126660343095077900, 0.126277615388766920, - 0.125894883039589430, - 0.125512146061616980, 0.125129404468921260, 0.124746658275575490, - 0.124363907495651240, - 0.123981152143222060, 0.123598392232359880, 0.123215627777138580, - 0.122832858791630880, - 0.122450085289909640, 0.122067307286049230, 0.121684524794122440, - 0.121301737828203960, - 0.120918946402367330, 0.120536150530686250, 0.120153350227235940, - 0.119770545506089950, - 0.119387736381323830, 0.119004922867011920, 0.118622104977228730, - 0.118239282726050290, - 0.117856456127550970, 0.117473625195807100, 0.117090789944893860, - 0.116707950388886520, - 0.116325106541861910, 0.115942258417895240, 0.115559406031063570, - 0.115176549395442460, - 0.114793688525109290, 0.114410823434140360, 0.114027954136612060, - 0.113645080646602280, - 0.113262202978187320, 0.112879321145445350, 0.112496435162453430, - 0.112113545043288730, - 0.111730650802029900, 0.111347752452754000, 0.110964850009539970, - 0.110581943486465610, - 0.110199032897608850, 0.109816118257049110, 0.109433199578864170, - 0.109050276877133770, - 0.108667350165936400, 0.108284419459350770, 0.107901484771457020, - 0.107518546116333660, - 0.107135603508061170, 0.106752656960718350, 0.106369706488385940, - 0.105986752105143480, - 0.105603793825070680, 0.105220831662248700, 0.104837865630757090, - 0.104454895744677270, - 0.104071922018089540, 0.103688944465074300, 0.103305963099713400, - 0.102922977936087120, - 0.102539988988277600, 0.102156996270365800, 0.101773999796432830, - 0.101390999580561250, - 0.101007995636832020, 0.100624987979327970, 0.100241976622130760, - 0.099858961579322170, - 0.099475942864985456, 0.099092920493202258, 0.098709894478056073, - 0.098326864833628791, - 0.097943831574004214, 0.097560794713264939, 0.097177754265493674, - 0.096794710244774623, - 0.096411662665190329, 0.096028611540825232, 0.095645556885762609, - 0.095262498714085819, - 0.094879437039879722, 0.094496371877227495, 0.094113303240214247, - 0.093730231142923864, - 0.093347155599440373, 0.092964076623849271, 0.092580994230234359, - 0.092197908432681386, - 0.091814819245274432, 0.091431726682099479, 0.091048630757241303, - 0.090665531484784803, - 0.090282428878816323, 0.089899322953420582, 0.089516213722684160, - 0.089133101200692441, - 0.088749985401530951, 0.088366866339286629, 0.087983744028044805, - 0.087600618481892656, - 0.087217489714916191, 0.086834357741201490, 0.086451222574836131, - 0.086068084229906014, - 0.085684942720498897, 0.085301798060701386, 0.084918650264600160, - 0.084535499346283349, - 0.084152345319837438, 0.083769188199350780, 0.083386027998910095, - 0.083002864732603973, - 0.082619698414519799, 0.082236529058745025, 0.081853356679368619, - 0.081470181290477811, - 0.081087002906161790, 0.080703821540508452, 0.080320637207605849, - 0.079937449921543474, - 0.079554259696409127, 0.079171066546292510, 0.078787870485282088, - 0.078404671527466441, - 0.078021469686935602, 0.077638264977777913, 0.077255057414083589, - 0.076871847009941652, - 0.076488633779441206, 0.076105417736672773, 0.075722198895725248, - 0.075338977270689375, - 0.074955752875654230, 0.074572525724710764, 0.074189295831948693, - 0.073806063211457842, - 0.073422827877329483, 0.073039589843653177, 0.072656349124520389, - 0.072273105734021334, - 0.071889859686246352, 0.071506610995287156, 0.071123359675233852, - 0.070740105740178361, - 0.070356849204211397, 0.069973590081423773, 0.069590328385907715, - 0.069207064131753759, - 0.068823797333054326, 0.068440528003900616, 0.068057256158383886, - 0.067673981810596848, - 0.067290704974630494, 0.066907425664577733, 0.066524143894529736, - 0.066140859678579578, - 0.065757573030819083, 0.065374283965340146, 0.064990992496236119, - 0.064607698637598646, - 0.064224402403521202, 0.063841103808096086, 0.063457802865415636, - 0.063074499589573618, - 0.062691193994662109, 0.062307886094775049, 0.061924575904005130, - 0.061541263436445129, - 0.061157948706189229, 0.060774631727329942, 0.060391312513961619, - 0.060007991080177375, - 0.059624667440070382, 0.059241341607735261, 0.058858013597264912, - 0.058474683422754095, - 0.058091351098295878, 0.057708016637985186, 0.057324680055915692, - 0.056941341366181127, - 0.056558000582876661, 0.056174657720095743, 0.055791312791933681, - 0.055407965812484541, - 0.055024616795842439, 0.054641265756102911, 0.054257912707359794, - 0.053874557663708772, - 0.053491200639244271, 0.053107841648060788, 0.052724480704254229, - 0.052341117821918783, - 0.051957753015150501, 0.051574386298044173, 0.051191017684694640, - 0.050807647189198162, - 0.050424274825649297, 0.050040900608144430, 0.049657524550778251, - 0.049274146667647289, - 0.048890766972846805, 0.048507385480472134, 0.048124002204620014, - 0.047740617159385448, - 0.047357230358865306, 0.046973841817155179, 0.046590451548350717, - 0.046207059566548990, - 0.045823665885845313, 0.045440270520336883, 0.045056873484119603, - 0.044673474791289434, - 0.044290074455943754, 0.043906672492178188, 0.043523268914090238, - 0.043139863735776100, - 0.042756456971332048, 0.042373048634855741, 0.041989638740443119, - 0.041606227302191955, - 0.041222814334198304, 0.040839399850560058, 0.040455983865373815, - 0.040072566392736257, - 0.039689147446745419, 0.039305727041497644, 0.038922305191091085, - 0.038538881909622631, - 0.038155457211189216, 0.037772031109889144, 0.037388603619819022, - 0.037005174755077273, - 0.036621744529761024, 0.036238312957967478, 0.035854880053795196, - 0.035471445831341021, - 0.035088010304703626, 0.034704573487980395, 0.034321135395268765, - 0.033937696040667535, - 0.033554255438273790, 0.033170813602186440, 0.032787370546502645, - 0.032403926285321405, - 0.032020480832740429, 0.031637034202857461, 0.031253586409771626, - 0.030870137467580314, - 0.030486687390382738, 0.030103236192276818, 0.029719783887360508, - 0.029336330489733147, - 0.028952876013492331, 0.028569420472737472, 0.028185963881566689, - 0.027802506254078142, - 0.027419047604371360, 0.027035587946544135, 0.026652127294696067, - 0.026268665662925468, - 0.025885203065330677, 0.025501739516011413, 0.025118275029065638, - 0.024734809618593138, - 0.024351343298691951, 0.023967876083461924, 0.023584407987001611, - 0.023200939023409587, - 0.022817469206785804, 0.022433998551228459, 0.022050527070837558, - 0.021667054779711814, - 0.021283581691949955, 0.020900107821652084, 0.020516633182916549, - 0.020133157789843505, - 0.019749681656531803, 0.019366204797080316, 0.018982727225589285, - 0.018599248956157190, - 0.018215770002884327, 0.017832290379869671, 0.017448810101212228, - 0.017065329181012358, - 0.016681847633368677, 0.016298365472381587, 0.015914882712149747, - 0.015531399366773606, - 0.015147915450352307, 0.014764430976985016, 0.014380945960772247, - 0.013997460415812761, - 0.013613974356207112, 0.013230487796054543, 0.012847000749454314, - 0.012463513230507034, - 0.012080025253311559, 0.011696536831968529, 0.011313047980577277, - 0.010929558713237145, - 0.010546069044048827, 0.010162578987111254, 0.009779088556525145, - 0.009395597766389905, - 0.009012106630804949, 0.008628615163871038, 0.008245123379687167, - 0.007861631292354124, - 0.007478138915970929, 0.007094646264638386, 0.006711153352455981, - 0.006327660193523208, - 0.005944166801940901, 0.005560673191808128, 0.005177179377225743, - 0.004793685372293270, - 0.004410191191110246, 0.004026696847777542, 0.003643202356394263, - 0.003259707731061291, - 0.002876212985878184, 0.002492718134944503, 0.002109223192361147, - 0.001725728172227238, - 0.001342233088643682, 0.000958737955710053, 0.000575242787525925, - 0.000191747598192208, - -}; - -/** - * @brief Initialization function for the floating-point DCT4/IDCT4. - * @param[in,out] *S points to an instance of floating-point DCT4/IDCT4 structure. - * @param[in] *S_RFFT points to an instance of floating-point RFFT/RIFFT structure. - * @param[in] *S_CFFT points to an instance of floating-point CFFT/CIFFT structure. - * @param[in] N length of the DCT4. - * @param[in] Nby2 half of the length of the DCT4. - * @param[in] normalize normalizing factor. - * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported transform length. - * \par Normalizing factor: - * The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>. - * Floating-point normalizing factors are mentioned in the table below for different DCT sizes: - * \image html dct4NormalizingF32Table.gif - */ - -arm_status arm_dct4_init_f32( - arm_dct4_instance_f32 * S, - arm_rfft_instance_f32 * S_RFFT, - arm_cfft_radix4_instance_f32 * S_CFFT, - uint16_t N, - uint16_t Nby2, - float32_t normalize) -{ - /* Initialize the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - - /* Initializing the pointer array with the weight table base addresses of different lengths */ - float32_t *twiddlePtr[4] = - { (float32_t *) Weights_128, (float32_t *) Weights_512, - (float32_t *) Weights_2048, (float32_t *) Weights_8192 - }; - - /* Initializing the pointer array with the cos factor table base addresses of different lengths */ - float32_t *pCosFactor[4] = - { (float32_t *) cos_factors_128, (float32_t *) cos_factors_512, - (float32_t *) cos_factors_2048, (float32_t *) cos_factors_8192 - }; - - /* Initialize the DCT4 length */ - S->N = N; - - /* Initialize the half of DCT4 length */ - S->Nby2 = Nby2; - - /* Initialize the DCT4 Normalizing factor */ - S->normalize = normalize; - - /* Initialize Real FFT Instance */ - S->pRfft = S_RFFT; - - /* Initialize Complex FFT Instance */ - S->pCfft = S_CFFT; - - switch (N) - { - /* Initialize the table modifier values */ - case 8192u: - S->pTwiddle = twiddlePtr[3]; - S->pCosFactor = pCosFactor[3]; - break; - case 2048u: - S->pTwiddle = twiddlePtr[2]; - S->pCosFactor = pCosFactor[2]; - break; - case 512u: - S->pTwiddle = twiddlePtr[1]; - S->pCosFactor = pCosFactor[1]; - break; - case 128u: - S->pTwiddle = twiddlePtr[0]; - S->pCosFactor = pCosFactor[0]; - break; - default: - status = ARM_MATH_ARGUMENT_ERROR; - } - - /* Initialize the RFFT/RIFFT */ - arm_rfft_init_f32(S->pRfft, S->pCfft, S->N, 0u, 1u); - - /* return the status of DCT4 Init function */ - return (status); -} - -/** - * @} end of DCT4_IDCT4 group - */
--- a/cmsis_dsp/TransformFunctions/arm_dct4_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,4284 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_dct4_init_q15.c -* -* Description: Initialization function of DCT-4 & IDCT4 Q15 -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - - -#include "arm_math.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup DCT4_IDCT4 - * @{ - */ - -/* -* @brief Weights Table -*/ - -/** -* \par -* Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre> -* \par -* C command to generate the table -* <pre> -* for(i = 0; i< N; i++) -* { -* weights[2*i]= cos(i*c); -* weights[(2*i)+1]= -sin(i * c); -* } </pre> -* \par -* where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code> -* \par -* Converted the output to q15 format by multiplying with 2^31 and saturated if required. -* \par -* In the tables below the real and imaginary values are placed alternatively, hence the -* array length is <code>2*N</code>. -*/ - -static const q15_t ALIGN4 WeightsQ15_128[256] = { - 0x7fff, 0x0, 0x7ffd, 0xfe6e, 0x7ff6, 0xfcdc, 0x7fe9, 0xfb4a, - 0x7fd8, 0xf9b9, 0x7fc2, 0xf827, 0x7fa7, 0xf696, 0x7f87, 0xf505, - 0x7f62, 0xf375, 0x7f38, 0xf1e5, 0x7f09, 0xf055, 0x7ed5, 0xeec7, - 0x7e9d, 0xed38, 0x7e5f, 0xebab, 0x7e1d, 0xea1e, 0x7dd6, 0xe893, - 0x7d8a, 0xe708, 0x7d39, 0xe57e, 0x7ce3, 0xe3f5, 0x7c89, 0xe26d, - 0x7c29, 0xe0e7, 0x7bc5, 0xdf61, 0x7b5d, 0xdddd, 0x7aef, 0xdc5a, - 0x7a7d, 0xdad8, 0x7a05, 0xd958, 0x798a, 0xd7da, 0x7909, 0xd65d, - 0x7884, 0xd4e1, 0x77fa, 0xd368, 0x776c, 0xd1ef, 0x76d9, 0xd079, - 0x7641, 0xcf05, 0x75a5, 0xcd92, 0x7504, 0xcc22, 0x745f, 0xcab3, - 0x73b5, 0xc946, 0x7307, 0xc7dc, 0x7255, 0xc674, 0x719e, 0xc50e, - 0x70e2, 0xc3aa, 0x7023, 0xc248, 0x6f5f, 0xc0e9, 0x6e96, 0xbf8d, - 0x6dca, 0xbe32, 0x6cf9, 0xbcdb, 0x6c24, 0xbb86, 0x6b4a, 0xba33, - 0x6a6d, 0xb8e4, 0x698c, 0xb797, 0x68a6, 0xb64c, 0x67bd, 0xb505, - 0x66cf, 0xb3c1, 0x65dd, 0xb27f, 0x64e8, 0xb141, 0x63ef, 0xb005, - 0x62f2, 0xaecd, 0x61f1, 0xad97, 0x60ec, 0xac65, 0x5fe3, 0xab36, - 0x5ed7, 0xaa0b, 0x5dc7, 0xa8e3, 0x5cb4, 0xa7be, 0x5b9d, 0xa69c, - 0x5a82, 0xa57e, 0x5964, 0xa463, 0x5842, 0xa34c, 0x571d, 0xa239, - 0x55f5, 0xa129, 0x54ca, 0xa01d, 0x539b, 0x9f14, 0x5269, 0x9e0f, - 0x5133, 0x9d0e, 0x4ffb, 0x9c11, 0x4ebf, 0x9b18, 0x4d81, 0x9a23, - 0x4c3f, 0x9931, 0x4afb, 0x9843, 0x49b4, 0x975a, 0x4869, 0x9674, - 0x471c, 0x9593, 0x45cd, 0x94b6, 0x447a, 0x93dc, 0x4325, 0x9307, - 0x41ce, 0x9236, 0x4073, 0x916a, 0x3f17, 0x90a1, 0x3db8, 0x8fdd, - 0x3c56, 0x8f1e, 0x3af2, 0x8e62, 0x398c, 0x8dab, 0x3824, 0x8cf9, - 0x36ba, 0x8c4b, 0x354d, 0x8ba1, 0x33de, 0x8afc, 0x326e, 0x8a5b, - 0x30fb, 0x89bf, 0x2f87, 0x8927, 0x2e11, 0x8894, 0x2c98, 0x8806, - 0x2b1f, 0x877c, 0x29a3, 0x86f7, 0x2826, 0x8676, 0x26a8, 0x85fb, - 0x2528, 0x8583, 0x23a6, 0x8511, 0x2223, 0x84a3, 0x209f, 0x843b, - 0x1f19, 0x83d7, 0x1d93, 0x8377, 0x1c0b, 0x831d, 0x1a82, 0x82c7, - 0x18f8, 0x8276, 0x176d, 0x822a, 0x15e2, 0x81e3, 0x1455, 0x81a1, - 0x12c8, 0x8163, 0x1139, 0x812b, 0xfab, 0x80f7, 0xe1b, 0x80c8, - 0xc8b, 0x809e, 0xafb, 0x8079, 0x96a, 0x8059, 0x7d9, 0x803e, - 0x647, 0x8028, 0x4b6, 0x8017, 0x324, 0x800a, 0x192, 0x8003, -}; - -static const q15_t ALIGN4 WeightsQ15_512[1024] = { - 0x7fff, 0x0, 0x7fff, 0xff9c, 0x7fff, 0xff37, 0x7ffe, 0xfed3, - 0x7ffd, 0xfe6e, 0x7ffc, 0xfe0a, 0x7ffa, 0xfda5, 0x7ff8, 0xfd41, - 0x7ff6, 0xfcdc, 0x7ff3, 0xfc78, 0x7ff0, 0xfc13, 0x7fed, 0xfbaf, - 0x7fe9, 0xfb4a, 0x7fe5, 0xfae6, 0x7fe1, 0xfa81, 0x7fdd, 0xfa1d, - 0x7fd8, 0xf9b9, 0x7fd3, 0xf954, 0x7fce, 0xf8f0, 0x7fc8, 0xf88b, - 0x7fc2, 0xf827, 0x7fbc, 0xf7c3, 0x7fb5, 0xf75e, 0x7fae, 0xf6fa, - 0x7fa7, 0xf696, 0x7f9f, 0xf632, 0x7f97, 0xf5cd, 0x7f8f, 0xf569, - 0x7f87, 0xf505, 0x7f7e, 0xf4a1, 0x7f75, 0xf43d, 0x7f6b, 0xf3d9, - 0x7f62, 0xf375, 0x7f58, 0xf311, 0x7f4d, 0xf2ad, 0x7f43, 0xf249, - 0x7f38, 0xf1e5, 0x7f2d, 0xf181, 0x7f21, 0xf11d, 0x7f15, 0xf0b9, - 0x7f09, 0xf055, 0x7efd, 0xeff2, 0x7ef0, 0xef8e, 0x7ee3, 0xef2a, - 0x7ed5, 0xeec7, 0x7ec8, 0xee63, 0x7eba, 0xedff, 0x7eab, 0xed9c, - 0x7e9d, 0xed38, 0x7e8e, 0xecd5, 0x7e7f, 0xec72, 0x7e6f, 0xec0e, - 0x7e5f, 0xebab, 0x7e4f, 0xeb48, 0x7e3f, 0xeae5, 0x7e2e, 0xea81, - 0x7e1d, 0xea1e, 0x7e0c, 0xe9bb, 0x7dfa, 0xe958, 0x7de8, 0xe8f6, - 0x7dd6, 0xe893, 0x7dc3, 0xe830, 0x7db0, 0xe7cd, 0x7d9d, 0xe76a, - 0x7d8a, 0xe708, 0x7d76, 0xe6a5, 0x7d62, 0xe643, 0x7d4e, 0xe5e0, - 0x7d39, 0xe57e, 0x7d24, 0xe51c, 0x7d0f, 0xe4b9, 0x7cf9, 0xe457, - 0x7ce3, 0xe3f5, 0x7ccd, 0xe393, 0x7cb7, 0xe331, 0x7ca0, 0xe2cf, - 0x7c89, 0xe26d, 0x7c71, 0xe20b, 0x7c5a, 0xe1aa, 0x7c42, 0xe148, - 0x7c29, 0xe0e7, 0x7c11, 0xe085, 0x7bf8, 0xe024, 0x7bdf, 0xdfc2, - 0x7bc5, 0xdf61, 0x7bac, 0xdf00, 0x7b92, 0xde9f, 0x7b77, 0xde3e, - 0x7b5d, 0xdddd, 0x7b42, 0xdd7c, 0x7b26, 0xdd1b, 0x7b0b, 0xdcbb, - 0x7aef, 0xdc5a, 0x7ad3, 0xdbf9, 0x7ab6, 0xdb99, 0x7a9a, 0xdb39, - 0x7a7d, 0xdad8, 0x7a5f, 0xda78, 0x7a42, 0xda18, 0x7a24, 0xd9b8, - 0x7a05, 0xd958, 0x79e7, 0xd8f9, 0x79c8, 0xd899, 0x79a9, 0xd839, - 0x798a, 0xd7da, 0x796a, 0xd77a, 0x794a, 0xd71b, 0x792a, 0xd6bc, - 0x7909, 0xd65d, 0x78e8, 0xd5fe, 0x78c7, 0xd59f, 0x78a6, 0xd540, - 0x7884, 0xd4e1, 0x7862, 0xd483, 0x7840, 0xd424, 0x781d, 0xd3c6, - 0x77fa, 0xd368, 0x77d7, 0xd309, 0x77b4, 0xd2ab, 0x7790, 0xd24d, - 0x776c, 0xd1ef, 0x7747, 0xd192, 0x7723, 0xd134, 0x76fe, 0xd0d7, - 0x76d9, 0xd079, 0x76b3, 0xd01c, 0x768e, 0xcfbf, 0x7668, 0xcf62, - 0x7641, 0xcf05, 0x761b, 0xcea8, 0x75f4, 0xce4b, 0x75cc, 0xcdef, - 0x75a5, 0xcd92, 0x757d, 0xcd36, 0x7555, 0xccda, 0x752d, 0xcc7e, - 0x7504, 0xcc22, 0x74db, 0xcbc6, 0x74b2, 0xcb6a, 0x7489, 0xcb0e, - 0x745f, 0xcab3, 0x7435, 0xca58, 0x740b, 0xc9fc, 0x73e0, 0xc9a1, - 0x73b5, 0xc946, 0x738a, 0xc8ec, 0x735f, 0xc891, 0x7333, 0xc836, - 0x7307, 0xc7dc, 0x72db, 0xc782, 0x72af, 0xc728, 0x7282, 0xc6ce, - 0x7255, 0xc674, 0x7227, 0xc61a, 0x71fa, 0xc5c0, 0x71cc, 0xc567, - 0x719e, 0xc50e, 0x716f, 0xc4b4, 0x7141, 0xc45b, 0x7112, 0xc403, - 0x70e2, 0xc3aa, 0x70b3, 0xc351, 0x7083, 0xc2f9, 0x7053, 0xc2a0, - 0x7023, 0xc248, 0x6ff2, 0xc1f0, 0x6fc1, 0xc198, 0x6f90, 0xc141, - 0x6f5f, 0xc0e9, 0x6f2d, 0xc092, 0x6efb, 0xc03b, 0x6ec9, 0xbfe3, - 0x6e96, 0xbf8d, 0x6e63, 0xbf36, 0x6e30, 0xbedf, 0x6dfd, 0xbe89, - 0x6dca, 0xbe32, 0x6d96, 0xbddc, 0x6d62, 0xbd86, 0x6d2d, 0xbd30, - 0x6cf9, 0xbcdb, 0x6cc4, 0xbc85, 0x6c8f, 0xbc30, 0x6c59, 0xbbdb, - 0x6c24, 0xbb86, 0x6bee, 0xbb31, 0x6bb8, 0xbadc, 0x6b81, 0xba88, - 0x6b4a, 0xba33, 0x6b13, 0xb9df, 0x6adc, 0xb98b, 0x6aa5, 0xb937, - 0x6a6d, 0xb8e4, 0x6a35, 0xb890, 0x69fd, 0xb83d, 0x69c4, 0xb7ea, - 0x698c, 0xb797, 0x6953, 0xb744, 0x6919, 0xb6f1, 0x68e0, 0xb69f, - 0x68a6, 0xb64c, 0x686c, 0xb5fa, 0x6832, 0xb5a8, 0x67f7, 0xb557, - 0x67bd, 0xb505, 0x6782, 0xb4b4, 0x6746, 0xb462, 0x670b, 0xb411, - 0x66cf, 0xb3c1, 0x6693, 0xb370, 0x6657, 0xb31f, 0x661a, 0xb2cf, - 0x65dd, 0xb27f, 0x65a0, 0xb22f, 0x6563, 0xb1df, 0x6526, 0xb190, - 0x64e8, 0xb141, 0x64aa, 0xb0f1, 0x646c, 0xb0a2, 0x642d, 0xb054, - 0x63ef, 0xb005, 0x63b0, 0xafb7, 0x6371, 0xaf69, 0x6331, 0xaf1b, - 0x62f2, 0xaecd, 0x62b2, 0xae7f, 0x6271, 0xae32, 0x6231, 0xade4, - 0x61f1, 0xad97, 0x61b0, 0xad4b, 0x616f, 0xacfe, 0x612d, 0xacb2, - 0x60ec, 0xac65, 0x60aa, 0xac19, 0x6068, 0xabcd, 0x6026, 0xab82, - 0x5fe3, 0xab36, 0x5fa0, 0xaaeb, 0x5f5e, 0xaaa0, 0x5f1a, 0xaa55, - 0x5ed7, 0xaa0b, 0x5e93, 0xa9c0, 0x5e50, 0xa976, 0x5e0b, 0xa92c, - 0x5dc7, 0xa8e3, 0x5d83, 0xa899, 0x5d3e, 0xa850, 0x5cf9, 0xa807, - 0x5cb4, 0xa7be, 0x5c6e, 0xa775, 0x5c29, 0xa72c, 0x5be3, 0xa6e4, - 0x5b9d, 0xa69c, 0x5b56, 0xa654, 0x5b10, 0xa60d, 0x5ac9, 0xa5c5, - 0x5a82, 0xa57e, 0x5a3b, 0xa537, 0x59f3, 0xa4f0, 0x59ac, 0xa4aa, - 0x5964, 0xa463, 0x591c, 0xa41d, 0x58d4, 0xa3d7, 0x588b, 0xa392, - 0x5842, 0xa34c, 0x57f9, 0xa307, 0x57b0, 0xa2c2, 0x5767, 0xa27d, - 0x571d, 0xa239, 0x56d4, 0xa1f5, 0x568a, 0xa1b0, 0x5640, 0xa16d, - 0x55f5, 0xa129, 0x55ab, 0xa0e6, 0x5560, 0xa0a2, 0x5515, 0xa060, - 0x54ca, 0xa01d, 0x547e, 0x9fda, 0x5433, 0x9f98, 0x53e7, 0x9f56, - 0x539b, 0x9f14, 0x534e, 0x9ed3, 0x5302, 0x9e91, 0x52b5, 0x9e50, - 0x5269, 0x9e0f, 0x521c, 0x9dcf, 0x51ce, 0x9d8f, 0x5181, 0x9d4e, - 0x5133, 0x9d0e, 0x50e5, 0x9ccf, 0x5097, 0x9c8f, 0x5049, 0x9c50, - 0x4ffb, 0x9c11, 0x4fac, 0x9bd3, 0x4f5e, 0x9b94, 0x4f0f, 0x9b56, - 0x4ebf, 0x9b18, 0x4e70, 0x9ada, 0x4e21, 0x9a9d, 0x4dd1, 0x9a60, - 0x4d81, 0x9a23, 0x4d31, 0x99e6, 0x4ce1, 0x99a9, 0x4c90, 0x996d, - 0x4c3f, 0x9931, 0x4bef, 0x98f5, 0x4b9e, 0x98ba, 0x4b4c, 0x987e, - 0x4afb, 0x9843, 0x4aa9, 0x9809, 0x4a58, 0x97ce, 0x4a06, 0x9794, - 0x49b4, 0x975a, 0x4961, 0x9720, 0x490f, 0x96e7, 0x48bc, 0x96ad, - 0x4869, 0x9674, 0x4816, 0x963c, 0x47c3, 0x9603, 0x4770, 0x95cb, - 0x471c, 0x9593, 0x46c9, 0x955b, 0x4675, 0x9524, 0x4621, 0x94ed, - 0x45cd, 0x94b6, 0x4578, 0x947f, 0x4524, 0x9448, 0x44cf, 0x9412, - 0x447a, 0x93dc, 0x4425, 0x93a7, 0x43d0, 0x9371, 0x437b, 0x933c, - 0x4325, 0x9307, 0x42d0, 0x92d3, 0x427a, 0x929e, 0x4224, 0x926a, - 0x41ce, 0x9236, 0x4177, 0x9203, 0x4121, 0x91d0, 0x40ca, 0x919d, - 0x4073, 0x916a, 0x401d, 0x9137, 0x3fc5, 0x9105, 0x3f6e, 0x90d3, - 0x3f17, 0x90a1, 0x3ebf, 0x9070, 0x3e68, 0x903f, 0x3e10, 0x900e, - 0x3db8, 0x8fdd, 0x3d60, 0x8fad, 0x3d07, 0x8f7d, 0x3caf, 0x8f4d, - 0x3c56, 0x8f1e, 0x3bfd, 0x8eee, 0x3ba5, 0x8ebf, 0x3b4c, 0x8e91, - 0x3af2, 0x8e62, 0x3a99, 0x8e34, 0x3a40, 0x8e06, 0x39e6, 0x8dd9, - 0x398c, 0x8dab, 0x3932, 0x8d7e, 0x38d8, 0x8d51, 0x387e, 0x8d25, - 0x3824, 0x8cf9, 0x37ca, 0x8ccd, 0x376f, 0x8ca1, 0x3714, 0x8c76, - 0x36ba, 0x8c4b, 0x365f, 0x8c20, 0x3604, 0x8bf5, 0x35a8, 0x8bcb, - 0x354d, 0x8ba1, 0x34f2, 0x8b77, 0x3496, 0x8b4e, 0x343a, 0x8b25, - 0x33de, 0x8afc, 0x3382, 0x8ad3, 0x3326, 0x8aab, 0x32ca, 0x8a83, - 0x326e, 0x8a5b, 0x3211, 0x8a34, 0x31b5, 0x8a0c, 0x3158, 0x89e5, - 0x30fb, 0x89bf, 0x309e, 0x8998, 0x3041, 0x8972, 0x2fe4, 0x894d, - 0x2f87, 0x8927, 0x2f29, 0x8902, 0x2ecc, 0x88dd, 0x2e6e, 0x88b9, - 0x2e11, 0x8894, 0x2db3, 0x8870, 0x2d55, 0x884c, 0x2cf7, 0x8829, - 0x2c98, 0x8806, 0x2c3a, 0x87e3, 0x2bdc, 0x87c0, 0x2b7d, 0x879e, - 0x2b1f, 0x877c, 0x2ac0, 0x875a, 0x2a61, 0x8739, 0x2a02, 0x8718, - 0x29a3, 0x86f7, 0x2944, 0x86d6, 0x28e5, 0x86b6, 0x2886, 0x8696, - 0x2826, 0x8676, 0x27c7, 0x8657, 0x2767, 0x8638, 0x2707, 0x8619, - 0x26a8, 0x85fb, 0x2648, 0x85dc, 0x25e8, 0x85be, 0x2588, 0x85a1, - 0x2528, 0x8583, 0x24c7, 0x8566, 0x2467, 0x854a, 0x2407, 0x852d, - 0x23a6, 0x8511, 0x2345, 0x84f5, 0x22e5, 0x84da, 0x2284, 0x84be, - 0x2223, 0x84a3, 0x21c2, 0x8489, 0x2161, 0x846e, 0x2100, 0x8454, - 0x209f, 0x843b, 0x203e, 0x8421, 0x1fdc, 0x8408, 0x1f7b, 0x83ef, - 0x1f19, 0x83d7, 0x1eb8, 0x83be, 0x1e56, 0x83a6, 0x1df5, 0x838f, - 0x1d93, 0x8377, 0x1d31, 0x8360, 0x1ccf, 0x8349, 0x1c6d, 0x8333, - 0x1c0b, 0x831d, 0x1ba9, 0x8307, 0x1b47, 0x82f1, 0x1ae4, 0x82dc, - 0x1a82, 0x82c7, 0x1a20, 0x82b2, 0x19bd, 0x829e, 0x195b, 0x828a, - 0x18f8, 0x8276, 0x1896, 0x8263, 0x1833, 0x8250, 0x17d0, 0x823d, - 0x176d, 0x822a, 0x170a, 0x8218, 0x16a8, 0x8206, 0x1645, 0x81f4, - 0x15e2, 0x81e3, 0x157f, 0x81d2, 0x151b, 0x81c1, 0x14b8, 0x81b1, - 0x1455, 0x81a1, 0x13f2, 0x8191, 0x138e, 0x8181, 0x132b, 0x8172, - 0x12c8, 0x8163, 0x1264, 0x8155, 0x1201, 0x8146, 0x119d, 0x8138, - 0x1139, 0x812b, 0x10d6, 0x811d, 0x1072, 0x8110, 0x100e, 0x8103, - 0xfab, 0x80f7, 0xf47, 0x80eb, 0xee3, 0x80df, 0xe7f, 0x80d3, - 0xe1b, 0x80c8, 0xdb7, 0x80bd, 0xd53, 0x80b3, 0xcef, 0x80a8, - 0xc8b, 0x809e, 0xc27, 0x8095, 0xbc3, 0x808b, 0xb5f, 0x8082, - 0xafb, 0x8079, 0xa97, 0x8071, 0xa33, 0x8069, 0x9ce, 0x8061, - 0x96a, 0x8059, 0x906, 0x8052, 0x8a2, 0x804b, 0x83d, 0x8044, - 0x7d9, 0x803e, 0x775, 0x8038, 0x710, 0x8032, 0x6ac, 0x802d, - 0x647, 0x8028, 0x5e3, 0x8023, 0x57f, 0x801f, 0x51a, 0x801b, - 0x4b6, 0x8017, 0x451, 0x8013, 0x3ed, 0x8010, 0x388, 0x800d, - 0x324, 0x800a, 0x2bf, 0x8008, 0x25b, 0x8006, 0x1f6, 0x8004, - 0x192, 0x8003, 0x12d, 0x8002, 0xc9, 0x8001, 0x64, 0x8001, -}; - -static const q15_t ALIGN4 WeightsQ15_2048[4096] = { - 0x7fff, 0x0, 0x7fff, 0xffe7, 0x7fff, 0xffce, 0x7fff, 0xffb5, - 0x7fff, 0xff9c, 0x7fff, 0xff83, 0x7fff, 0xff6a, 0x7fff, 0xff51, - 0x7fff, 0xff37, 0x7fff, 0xff1e, 0x7fff, 0xff05, 0x7ffe, 0xfeec, - 0x7ffe, 0xfed3, 0x7ffe, 0xfeba, 0x7ffe, 0xfea1, 0x7ffd, 0xfe88, - 0x7ffd, 0xfe6e, 0x7ffd, 0xfe55, 0x7ffc, 0xfe3c, 0x7ffc, 0xfe23, - 0x7ffc, 0xfe0a, 0x7ffb, 0xfdf1, 0x7ffb, 0xfdd8, 0x7ffa, 0xfdbe, - 0x7ffa, 0xfda5, 0x7ff9, 0xfd8c, 0x7ff9, 0xfd73, 0x7ff8, 0xfd5a, - 0x7ff8, 0xfd41, 0x7ff7, 0xfd28, 0x7ff7, 0xfd0f, 0x7ff6, 0xfcf5, - 0x7ff6, 0xfcdc, 0x7ff5, 0xfcc3, 0x7ff4, 0xfcaa, 0x7ff4, 0xfc91, - 0x7ff3, 0xfc78, 0x7ff2, 0xfc5f, 0x7ff2, 0xfc46, 0x7ff1, 0xfc2c, - 0x7ff0, 0xfc13, 0x7fef, 0xfbfa, 0x7fee, 0xfbe1, 0x7fee, 0xfbc8, - 0x7fed, 0xfbaf, 0x7fec, 0xfb96, 0x7feb, 0xfb7d, 0x7fea, 0xfb64, - 0x7fe9, 0xfb4a, 0x7fe8, 0xfb31, 0x7fe7, 0xfb18, 0x7fe6, 0xfaff, - 0x7fe5, 0xfae6, 0x7fe4, 0xfacd, 0x7fe3, 0xfab4, 0x7fe2, 0xfa9b, - 0x7fe1, 0xfa81, 0x7fe0, 0xfa68, 0x7fdf, 0xfa4f, 0x7fde, 0xfa36, - 0x7fdd, 0xfa1d, 0x7fdc, 0xfa04, 0x7fda, 0xf9eb, 0x7fd9, 0xf9d2, - 0x7fd8, 0xf9b9, 0x7fd7, 0xf9a0, 0x7fd6, 0xf986, 0x7fd4, 0xf96d, - 0x7fd3, 0xf954, 0x7fd2, 0xf93b, 0x7fd0, 0xf922, 0x7fcf, 0xf909, - 0x7fce, 0xf8f0, 0x7fcc, 0xf8d7, 0x7fcb, 0xf8be, 0x7fc9, 0xf8a5, - 0x7fc8, 0xf88b, 0x7fc6, 0xf872, 0x7fc5, 0xf859, 0x7fc3, 0xf840, - 0x7fc2, 0xf827, 0x7fc0, 0xf80e, 0x7fbf, 0xf7f5, 0x7fbd, 0xf7dc, - 0x7fbc, 0xf7c3, 0x7fba, 0xf7aa, 0x7fb8, 0xf791, 0x7fb7, 0xf778, - 0x7fb5, 0xf75e, 0x7fb3, 0xf745, 0x7fb1, 0xf72c, 0x7fb0, 0xf713, - 0x7fae, 0xf6fa, 0x7fac, 0xf6e1, 0x7faa, 0xf6c8, 0x7fa9, 0xf6af, - 0x7fa7, 0xf696, 0x7fa5, 0xf67d, 0x7fa3, 0xf664, 0x7fa1, 0xf64b, - 0x7f9f, 0xf632, 0x7f9d, 0xf619, 0x7f9b, 0xf600, 0x7f99, 0xf5e7, - 0x7f97, 0xf5cd, 0x7f95, 0xf5b4, 0x7f93, 0xf59b, 0x7f91, 0xf582, - 0x7f8f, 0xf569, 0x7f8d, 0xf550, 0x7f8b, 0xf537, 0x7f89, 0xf51e, - 0x7f87, 0xf505, 0x7f85, 0xf4ec, 0x7f82, 0xf4d3, 0x7f80, 0xf4ba, - 0x7f7e, 0xf4a1, 0x7f7c, 0xf488, 0x7f79, 0xf46f, 0x7f77, 0xf456, - 0x7f75, 0xf43d, 0x7f72, 0xf424, 0x7f70, 0xf40b, 0x7f6e, 0xf3f2, - 0x7f6b, 0xf3d9, 0x7f69, 0xf3c0, 0x7f67, 0xf3a7, 0x7f64, 0xf38e, - 0x7f62, 0xf375, 0x7f5f, 0xf35c, 0x7f5d, 0xf343, 0x7f5a, 0xf32a, - 0x7f58, 0xf311, 0x7f55, 0xf2f8, 0x7f53, 0xf2df, 0x7f50, 0xf2c6, - 0x7f4d, 0xf2ad, 0x7f4b, 0xf294, 0x7f48, 0xf27b, 0x7f45, 0xf262, - 0x7f43, 0xf249, 0x7f40, 0xf230, 0x7f3d, 0xf217, 0x7f3b, 0xf1fe, - 0x7f38, 0xf1e5, 0x7f35, 0xf1cc, 0x7f32, 0xf1b3, 0x7f2f, 0xf19a, - 0x7f2d, 0xf181, 0x7f2a, 0xf168, 0x7f27, 0xf14f, 0x7f24, 0xf136, - 0x7f21, 0xf11d, 0x7f1e, 0xf104, 0x7f1b, 0xf0eb, 0x7f18, 0xf0d2, - 0x7f15, 0xf0b9, 0x7f12, 0xf0a0, 0x7f0f, 0xf087, 0x7f0c, 0xf06e, - 0x7f09, 0xf055, 0x7f06, 0xf03c, 0x7f03, 0xf023, 0x7f00, 0xf00b, - 0x7efd, 0xeff2, 0x7ef9, 0xefd9, 0x7ef6, 0xefc0, 0x7ef3, 0xefa7, - 0x7ef0, 0xef8e, 0x7eed, 0xef75, 0x7ee9, 0xef5c, 0x7ee6, 0xef43, - 0x7ee3, 0xef2a, 0x7edf, 0xef11, 0x7edc, 0xeef8, 0x7ed9, 0xeedf, - 0x7ed5, 0xeec7, 0x7ed2, 0xeeae, 0x7ecf, 0xee95, 0x7ecb, 0xee7c, - 0x7ec8, 0xee63, 0x7ec4, 0xee4a, 0x7ec1, 0xee31, 0x7ebd, 0xee18, - 0x7eba, 0xedff, 0x7eb6, 0xede7, 0x7eb3, 0xedce, 0x7eaf, 0xedb5, - 0x7eab, 0xed9c, 0x7ea8, 0xed83, 0x7ea4, 0xed6a, 0x7ea1, 0xed51, - 0x7e9d, 0xed38, 0x7e99, 0xed20, 0x7e95, 0xed07, 0x7e92, 0xecee, - 0x7e8e, 0xecd5, 0x7e8a, 0xecbc, 0x7e86, 0xeca3, 0x7e83, 0xec8a, - 0x7e7f, 0xec72, 0x7e7b, 0xec59, 0x7e77, 0xec40, 0x7e73, 0xec27, - 0x7e6f, 0xec0e, 0x7e6b, 0xebf5, 0x7e67, 0xebdd, 0x7e63, 0xebc4, - 0x7e5f, 0xebab, 0x7e5b, 0xeb92, 0x7e57, 0xeb79, 0x7e53, 0xeb61, - 0x7e4f, 0xeb48, 0x7e4b, 0xeb2f, 0x7e47, 0xeb16, 0x7e43, 0xeafd, - 0x7e3f, 0xeae5, 0x7e3b, 0xeacc, 0x7e37, 0xeab3, 0x7e32, 0xea9a, - 0x7e2e, 0xea81, 0x7e2a, 0xea69, 0x7e26, 0xea50, 0x7e21, 0xea37, - 0x7e1d, 0xea1e, 0x7e19, 0xea06, 0x7e14, 0xe9ed, 0x7e10, 0xe9d4, - 0x7e0c, 0xe9bb, 0x7e07, 0xe9a3, 0x7e03, 0xe98a, 0x7dff, 0xe971, - 0x7dfa, 0xe958, 0x7df6, 0xe940, 0x7df1, 0xe927, 0x7ded, 0xe90e, - 0x7de8, 0xe8f6, 0x7de4, 0xe8dd, 0x7ddf, 0xe8c4, 0x7dda, 0xe8ab, - 0x7dd6, 0xe893, 0x7dd1, 0xe87a, 0x7dcd, 0xe861, 0x7dc8, 0xe849, - 0x7dc3, 0xe830, 0x7dbf, 0xe817, 0x7dba, 0xe7fe, 0x7db5, 0xe7e6, - 0x7db0, 0xe7cd, 0x7dac, 0xe7b4, 0x7da7, 0xe79c, 0x7da2, 0xe783, - 0x7d9d, 0xe76a, 0x7d98, 0xe752, 0x7d94, 0xe739, 0x7d8f, 0xe720, - 0x7d8a, 0xe708, 0x7d85, 0xe6ef, 0x7d80, 0xe6d6, 0x7d7b, 0xe6be, - 0x7d76, 0xe6a5, 0x7d71, 0xe68d, 0x7d6c, 0xe674, 0x7d67, 0xe65b, - 0x7d62, 0xe643, 0x7d5d, 0xe62a, 0x7d58, 0xe611, 0x7d53, 0xe5f9, - 0x7d4e, 0xe5e0, 0x7d49, 0xe5c8, 0x7d43, 0xe5af, 0x7d3e, 0xe596, - 0x7d39, 0xe57e, 0x7d34, 0xe565, 0x7d2f, 0xe54d, 0x7d29, 0xe534, - 0x7d24, 0xe51c, 0x7d1f, 0xe503, 0x7d19, 0xe4ea, 0x7d14, 0xe4d2, - 0x7d0f, 0xe4b9, 0x7d09, 0xe4a1, 0x7d04, 0xe488, 0x7cff, 0xe470, - 0x7cf9, 0xe457, 0x7cf4, 0xe43f, 0x7cee, 0xe426, 0x7ce9, 0xe40e, - 0x7ce3, 0xe3f5, 0x7cde, 0xe3dc, 0x7cd8, 0xe3c4, 0x7cd3, 0xe3ab, - 0x7ccd, 0xe393, 0x7cc8, 0xe37a, 0x7cc2, 0xe362, 0x7cbc, 0xe349, - 0x7cb7, 0xe331, 0x7cb1, 0xe318, 0x7cab, 0xe300, 0x7ca6, 0xe2e8, - 0x7ca0, 0xe2cf, 0x7c9a, 0xe2b7, 0x7c94, 0xe29e, 0x7c8f, 0xe286, - 0x7c89, 0xe26d, 0x7c83, 0xe255, 0x7c7d, 0xe23c, 0x7c77, 0xe224, - 0x7c71, 0xe20b, 0x7c6c, 0xe1f3, 0x7c66, 0xe1db, 0x7c60, 0xe1c2, - 0x7c5a, 0xe1aa, 0x7c54, 0xe191, 0x7c4e, 0xe179, 0x7c48, 0xe160, - 0x7c42, 0xe148, 0x7c3c, 0xe130, 0x7c36, 0xe117, 0x7c30, 0xe0ff, - 0x7c29, 0xe0e7, 0x7c23, 0xe0ce, 0x7c1d, 0xe0b6, 0x7c17, 0xe09d, - 0x7c11, 0xe085, 0x7c0b, 0xe06d, 0x7c05, 0xe054, 0x7bfe, 0xe03c, - 0x7bf8, 0xe024, 0x7bf2, 0xe00b, 0x7beb, 0xdff3, 0x7be5, 0xdfdb, - 0x7bdf, 0xdfc2, 0x7bd9, 0xdfaa, 0x7bd2, 0xdf92, 0x7bcc, 0xdf79, - 0x7bc5, 0xdf61, 0x7bbf, 0xdf49, 0x7bb9, 0xdf30, 0x7bb2, 0xdf18, - 0x7bac, 0xdf00, 0x7ba5, 0xdee8, 0x7b9f, 0xdecf, 0x7b98, 0xdeb7, - 0x7b92, 0xde9f, 0x7b8b, 0xde87, 0x7b84, 0xde6e, 0x7b7e, 0xde56, - 0x7b77, 0xde3e, 0x7b71, 0xde26, 0x7b6a, 0xde0d, 0x7b63, 0xddf5, - 0x7b5d, 0xdddd, 0x7b56, 0xddc5, 0x7b4f, 0xddac, 0x7b48, 0xdd94, - 0x7b42, 0xdd7c, 0x7b3b, 0xdd64, 0x7b34, 0xdd4c, 0x7b2d, 0xdd33, - 0x7b26, 0xdd1b, 0x7b1f, 0xdd03, 0x7b19, 0xdceb, 0x7b12, 0xdcd3, - 0x7b0b, 0xdcbb, 0x7b04, 0xdca2, 0x7afd, 0xdc8a, 0x7af6, 0xdc72, - 0x7aef, 0xdc5a, 0x7ae8, 0xdc42, 0x7ae1, 0xdc2a, 0x7ada, 0xdc12, - 0x7ad3, 0xdbf9, 0x7acc, 0xdbe1, 0x7ac5, 0xdbc9, 0x7abd, 0xdbb1, - 0x7ab6, 0xdb99, 0x7aaf, 0xdb81, 0x7aa8, 0xdb69, 0x7aa1, 0xdb51, - 0x7a9a, 0xdb39, 0x7a92, 0xdb21, 0x7a8b, 0xdb09, 0x7a84, 0xdaf1, - 0x7a7d, 0xdad8, 0x7a75, 0xdac0, 0x7a6e, 0xdaa8, 0x7a67, 0xda90, - 0x7a5f, 0xda78, 0x7a58, 0xda60, 0x7a50, 0xda48, 0x7a49, 0xda30, - 0x7a42, 0xda18, 0x7a3a, 0xda00, 0x7a33, 0xd9e8, 0x7a2b, 0xd9d0, - 0x7a24, 0xd9b8, 0x7a1c, 0xd9a0, 0x7a15, 0xd988, 0x7a0d, 0xd970, - 0x7a05, 0xd958, 0x79fe, 0xd940, 0x79f6, 0xd928, 0x79ef, 0xd911, - 0x79e7, 0xd8f9, 0x79df, 0xd8e1, 0x79d8, 0xd8c9, 0x79d0, 0xd8b1, - 0x79c8, 0xd899, 0x79c0, 0xd881, 0x79b9, 0xd869, 0x79b1, 0xd851, - 0x79a9, 0xd839, 0x79a1, 0xd821, 0x7999, 0xd80a, 0x7992, 0xd7f2, - 0x798a, 0xd7da, 0x7982, 0xd7c2, 0x797a, 0xd7aa, 0x7972, 0xd792, - 0x796a, 0xd77a, 0x7962, 0xd763, 0x795a, 0xd74b, 0x7952, 0xd733, - 0x794a, 0xd71b, 0x7942, 0xd703, 0x793a, 0xd6eb, 0x7932, 0xd6d4, - 0x792a, 0xd6bc, 0x7922, 0xd6a4, 0x7919, 0xd68c, 0x7911, 0xd675, - 0x7909, 0xd65d, 0x7901, 0xd645, 0x78f9, 0xd62d, 0x78f1, 0xd615, - 0x78e8, 0xd5fe, 0x78e0, 0xd5e6, 0x78d8, 0xd5ce, 0x78cf, 0xd5b7, - 0x78c7, 0xd59f, 0x78bf, 0xd587, 0x78b6, 0xd56f, 0x78ae, 0xd558, - 0x78a6, 0xd540, 0x789d, 0xd528, 0x7895, 0xd511, 0x788c, 0xd4f9, - 0x7884, 0xd4e1, 0x787c, 0xd4ca, 0x7873, 0xd4b2, 0x786b, 0xd49a, - 0x7862, 0xd483, 0x7859, 0xd46b, 0x7851, 0xd453, 0x7848, 0xd43c, - 0x7840, 0xd424, 0x7837, 0xd40d, 0x782e, 0xd3f5, 0x7826, 0xd3dd, - 0x781d, 0xd3c6, 0x7814, 0xd3ae, 0x780c, 0xd397, 0x7803, 0xd37f, - 0x77fa, 0xd368, 0x77f1, 0xd350, 0x77e9, 0xd338, 0x77e0, 0xd321, - 0x77d7, 0xd309, 0x77ce, 0xd2f2, 0x77c5, 0xd2da, 0x77bc, 0xd2c3, - 0x77b4, 0xd2ab, 0x77ab, 0xd294, 0x77a2, 0xd27c, 0x7799, 0xd265, - 0x7790, 0xd24d, 0x7787, 0xd236, 0x777e, 0xd21e, 0x7775, 0xd207, - 0x776c, 0xd1ef, 0x7763, 0xd1d8, 0x775a, 0xd1c1, 0x7751, 0xd1a9, - 0x7747, 0xd192, 0x773e, 0xd17a, 0x7735, 0xd163, 0x772c, 0xd14b, - 0x7723, 0xd134, 0x771a, 0xd11d, 0x7710, 0xd105, 0x7707, 0xd0ee, - 0x76fe, 0xd0d7, 0x76f5, 0xd0bf, 0x76eb, 0xd0a8, 0x76e2, 0xd091, - 0x76d9, 0xd079, 0x76cf, 0xd062, 0x76c6, 0xd04b, 0x76bd, 0xd033, - 0x76b3, 0xd01c, 0x76aa, 0xd005, 0x76a0, 0xcfed, 0x7697, 0xcfd6, - 0x768e, 0xcfbf, 0x7684, 0xcfa7, 0x767b, 0xcf90, 0x7671, 0xcf79, - 0x7668, 0xcf62, 0x765e, 0xcf4a, 0x7654, 0xcf33, 0x764b, 0xcf1c, - 0x7641, 0xcf05, 0x7638, 0xceee, 0x762e, 0xced6, 0x7624, 0xcebf, - 0x761b, 0xcea8, 0x7611, 0xce91, 0x7607, 0xce7a, 0x75fd, 0xce62, - 0x75f4, 0xce4b, 0x75ea, 0xce34, 0x75e0, 0xce1d, 0x75d6, 0xce06, - 0x75cc, 0xcdef, 0x75c3, 0xcdd8, 0x75b9, 0xcdc0, 0x75af, 0xcda9, - 0x75a5, 0xcd92, 0x759b, 0xcd7b, 0x7591, 0xcd64, 0x7587, 0xcd4d, - 0x757d, 0xcd36, 0x7573, 0xcd1f, 0x7569, 0xcd08, 0x755f, 0xccf1, - 0x7555, 0xccda, 0x754b, 0xccc3, 0x7541, 0xccac, 0x7537, 0xcc95, - 0x752d, 0xcc7e, 0x7523, 0xcc67, 0x7519, 0xcc50, 0x750f, 0xcc39, - 0x7504, 0xcc22, 0x74fa, 0xcc0b, 0x74f0, 0xcbf4, 0x74e6, 0xcbdd, - 0x74db, 0xcbc6, 0x74d1, 0xcbaf, 0x74c7, 0xcb98, 0x74bd, 0xcb81, - 0x74b2, 0xcb6a, 0x74a8, 0xcb53, 0x749e, 0xcb3c, 0x7493, 0xcb25, - 0x7489, 0xcb0e, 0x747e, 0xcaf8, 0x7474, 0xcae1, 0x746a, 0xcaca, - 0x745f, 0xcab3, 0x7455, 0xca9c, 0x744a, 0xca85, 0x7440, 0xca6e, - 0x7435, 0xca58, 0x742b, 0xca41, 0x7420, 0xca2a, 0x7415, 0xca13, - 0x740b, 0xc9fc, 0x7400, 0xc9e6, 0x73f6, 0xc9cf, 0x73eb, 0xc9b8, - 0x73e0, 0xc9a1, 0x73d6, 0xc98b, 0x73cb, 0xc974, 0x73c0, 0xc95d, - 0x73b5, 0xc946, 0x73ab, 0xc930, 0x73a0, 0xc919, 0x7395, 0xc902, - 0x738a, 0xc8ec, 0x737f, 0xc8d5, 0x7375, 0xc8be, 0x736a, 0xc8a8, - 0x735f, 0xc891, 0x7354, 0xc87a, 0x7349, 0xc864, 0x733e, 0xc84d, - 0x7333, 0xc836, 0x7328, 0xc820, 0x731d, 0xc809, 0x7312, 0xc7f3, - 0x7307, 0xc7dc, 0x72fc, 0xc7c5, 0x72f1, 0xc7af, 0x72e6, 0xc798, - 0x72db, 0xc782, 0x72d0, 0xc76b, 0x72c5, 0xc755, 0x72ba, 0xc73e, - 0x72af, 0xc728, 0x72a3, 0xc711, 0x7298, 0xc6fa, 0x728d, 0xc6e4, - 0x7282, 0xc6ce, 0x7276, 0xc6b7, 0x726b, 0xc6a1, 0x7260, 0xc68a, - 0x7255, 0xc674, 0x7249, 0xc65d, 0x723e, 0xc647, 0x7233, 0xc630, - 0x7227, 0xc61a, 0x721c, 0xc603, 0x7211, 0xc5ed, 0x7205, 0xc5d7, - 0x71fa, 0xc5c0, 0x71ee, 0xc5aa, 0x71e3, 0xc594, 0x71d7, 0xc57d, - 0x71cc, 0xc567, 0x71c0, 0xc551, 0x71b5, 0xc53a, 0x71a9, 0xc524, - 0x719e, 0xc50e, 0x7192, 0xc4f7, 0x7186, 0xc4e1, 0x717b, 0xc4cb, - 0x716f, 0xc4b4, 0x7164, 0xc49e, 0x7158, 0xc488, 0x714c, 0xc472, - 0x7141, 0xc45b, 0x7135, 0xc445, 0x7129, 0xc42f, 0x711d, 0xc419, - 0x7112, 0xc403, 0x7106, 0xc3ec, 0x70fa, 0xc3d6, 0x70ee, 0xc3c0, - 0x70e2, 0xc3aa, 0x70d6, 0xc394, 0x70cb, 0xc37d, 0x70bf, 0xc367, - 0x70b3, 0xc351, 0x70a7, 0xc33b, 0x709b, 0xc325, 0x708f, 0xc30f, - 0x7083, 0xc2f9, 0x7077, 0xc2e3, 0x706b, 0xc2cd, 0x705f, 0xc2b7, - 0x7053, 0xc2a0, 0x7047, 0xc28a, 0x703b, 0xc274, 0x702f, 0xc25e, - 0x7023, 0xc248, 0x7016, 0xc232, 0x700a, 0xc21c, 0x6ffe, 0xc206, - 0x6ff2, 0xc1f0, 0x6fe6, 0xc1da, 0x6fda, 0xc1c4, 0x6fcd, 0xc1ae, - 0x6fc1, 0xc198, 0x6fb5, 0xc183, 0x6fa9, 0xc16d, 0x6f9c, 0xc157, - 0x6f90, 0xc141, 0x6f84, 0xc12b, 0x6f77, 0xc115, 0x6f6b, 0xc0ff, - 0x6f5f, 0xc0e9, 0x6f52, 0xc0d3, 0x6f46, 0xc0bd, 0x6f39, 0xc0a8, - 0x6f2d, 0xc092, 0x6f20, 0xc07c, 0x6f14, 0xc066, 0x6f07, 0xc050, - 0x6efb, 0xc03b, 0x6eee, 0xc025, 0x6ee2, 0xc00f, 0x6ed5, 0xbff9, - 0x6ec9, 0xbfe3, 0x6ebc, 0xbfce, 0x6eaf, 0xbfb8, 0x6ea3, 0xbfa2, - 0x6e96, 0xbf8d, 0x6e89, 0xbf77, 0x6e7d, 0xbf61, 0x6e70, 0xbf4b, - 0x6e63, 0xbf36, 0x6e57, 0xbf20, 0x6e4a, 0xbf0a, 0x6e3d, 0xbef5, - 0x6e30, 0xbedf, 0x6e24, 0xbeca, 0x6e17, 0xbeb4, 0x6e0a, 0xbe9e, - 0x6dfd, 0xbe89, 0x6df0, 0xbe73, 0x6de3, 0xbe5e, 0x6dd6, 0xbe48, - 0x6dca, 0xbe32, 0x6dbd, 0xbe1d, 0x6db0, 0xbe07, 0x6da3, 0xbdf2, - 0x6d96, 0xbddc, 0x6d89, 0xbdc7, 0x6d7c, 0xbdb1, 0x6d6f, 0xbd9c, - 0x6d62, 0xbd86, 0x6d55, 0xbd71, 0x6d48, 0xbd5b, 0x6d3a, 0xbd46, - 0x6d2d, 0xbd30, 0x6d20, 0xbd1b, 0x6d13, 0xbd06, 0x6d06, 0xbcf0, - 0x6cf9, 0xbcdb, 0x6cec, 0xbcc5, 0x6cde, 0xbcb0, 0x6cd1, 0xbc9b, - 0x6cc4, 0xbc85, 0x6cb7, 0xbc70, 0x6ca9, 0xbc5b, 0x6c9c, 0xbc45, - 0x6c8f, 0xbc30, 0x6c81, 0xbc1b, 0x6c74, 0xbc05, 0x6c67, 0xbbf0, - 0x6c59, 0xbbdb, 0x6c4c, 0xbbc5, 0x6c3f, 0xbbb0, 0x6c31, 0xbb9b, - 0x6c24, 0xbb86, 0x6c16, 0xbb70, 0x6c09, 0xbb5b, 0x6bfb, 0xbb46, - 0x6bee, 0xbb31, 0x6be0, 0xbb1c, 0x6bd3, 0xbb06, 0x6bc5, 0xbaf1, - 0x6bb8, 0xbadc, 0x6baa, 0xbac7, 0x6b9c, 0xbab2, 0x6b8f, 0xba9d, - 0x6b81, 0xba88, 0x6b73, 0xba73, 0x6b66, 0xba5d, 0x6b58, 0xba48, - 0x6b4a, 0xba33, 0x6b3d, 0xba1e, 0x6b2f, 0xba09, 0x6b21, 0xb9f4, - 0x6b13, 0xb9df, 0x6b06, 0xb9ca, 0x6af8, 0xb9b5, 0x6aea, 0xb9a0, - 0x6adc, 0xb98b, 0x6ace, 0xb976, 0x6ac1, 0xb961, 0x6ab3, 0xb94c, - 0x6aa5, 0xb937, 0x6a97, 0xb922, 0x6a89, 0xb90d, 0x6a7b, 0xb8f8, - 0x6a6d, 0xb8e4, 0x6a5f, 0xb8cf, 0x6a51, 0xb8ba, 0x6a43, 0xb8a5, - 0x6a35, 0xb890, 0x6a27, 0xb87b, 0x6a19, 0xb866, 0x6a0b, 0xb852, - 0x69fd, 0xb83d, 0x69ef, 0xb828, 0x69e1, 0xb813, 0x69d3, 0xb7fe, - 0x69c4, 0xb7ea, 0x69b6, 0xb7d5, 0x69a8, 0xb7c0, 0x699a, 0xb7ab, - 0x698c, 0xb797, 0x697d, 0xb782, 0x696f, 0xb76d, 0x6961, 0xb758, - 0x6953, 0xb744, 0x6944, 0xb72f, 0x6936, 0xb71a, 0x6928, 0xb706, - 0x6919, 0xb6f1, 0x690b, 0xb6dd, 0x68fd, 0xb6c8, 0x68ee, 0xb6b3, - 0x68e0, 0xb69f, 0x68d1, 0xb68a, 0x68c3, 0xb676, 0x68b5, 0xb661, - 0x68a6, 0xb64c, 0x6898, 0xb638, 0x6889, 0xb623, 0x687b, 0xb60f, - 0x686c, 0xb5fa, 0x685e, 0xb5e6, 0x684f, 0xb5d1, 0x6840, 0xb5bd, - 0x6832, 0xb5a8, 0x6823, 0xb594, 0x6815, 0xb57f, 0x6806, 0xb56b, - 0x67f7, 0xb557, 0x67e9, 0xb542, 0x67da, 0xb52e, 0x67cb, 0xb519, - 0x67bd, 0xb505, 0x67ae, 0xb4f1, 0x679f, 0xb4dc, 0x6790, 0xb4c8, - 0x6782, 0xb4b4, 0x6773, 0xb49f, 0x6764, 0xb48b, 0x6755, 0xb477, - 0x6746, 0xb462, 0x6737, 0xb44e, 0x6729, 0xb43a, 0x671a, 0xb426, - 0x670b, 0xb411, 0x66fc, 0xb3fd, 0x66ed, 0xb3e9, 0x66de, 0xb3d5, - 0x66cf, 0xb3c1, 0x66c0, 0xb3ac, 0x66b1, 0xb398, 0x66a2, 0xb384, - 0x6693, 0xb370, 0x6684, 0xb35c, 0x6675, 0xb348, 0x6666, 0xb334, - 0x6657, 0xb31f, 0x6648, 0xb30b, 0x6639, 0xb2f7, 0x6629, 0xb2e3, - 0x661a, 0xb2cf, 0x660b, 0xb2bb, 0x65fc, 0xb2a7, 0x65ed, 0xb293, - 0x65dd, 0xb27f, 0x65ce, 0xb26b, 0x65bf, 0xb257, 0x65b0, 0xb243, - 0x65a0, 0xb22f, 0x6591, 0xb21b, 0x6582, 0xb207, 0x6573, 0xb1f3, - 0x6563, 0xb1df, 0x6554, 0xb1cc, 0x6545, 0xb1b8, 0x6535, 0xb1a4, - 0x6526, 0xb190, 0x6516, 0xb17c, 0x6507, 0xb168, 0x64f7, 0xb154, - 0x64e8, 0xb141, 0x64d9, 0xb12d, 0x64c9, 0xb119, 0x64ba, 0xb105, - 0x64aa, 0xb0f1, 0x649b, 0xb0de, 0x648b, 0xb0ca, 0x647b, 0xb0b6, - 0x646c, 0xb0a2, 0x645c, 0xb08f, 0x644d, 0xb07b, 0x643d, 0xb067, - 0x642d, 0xb054, 0x641e, 0xb040, 0x640e, 0xb02c, 0x63fe, 0xb019, - 0x63ef, 0xb005, 0x63df, 0xaff1, 0x63cf, 0xafde, 0x63c0, 0xafca, - 0x63b0, 0xafb7, 0x63a0, 0xafa3, 0x6390, 0xaf90, 0x6380, 0xaf7c, - 0x6371, 0xaf69, 0x6361, 0xaf55, 0x6351, 0xaf41, 0x6341, 0xaf2e, - 0x6331, 0xaf1b, 0x6321, 0xaf07, 0x6311, 0xaef4, 0x6301, 0xaee0, - 0x62f2, 0xaecd, 0x62e2, 0xaeb9, 0x62d2, 0xaea6, 0x62c2, 0xae92, - 0x62b2, 0xae7f, 0x62a2, 0xae6c, 0x6292, 0xae58, 0x6282, 0xae45, - 0x6271, 0xae32, 0x6261, 0xae1e, 0x6251, 0xae0b, 0x6241, 0xadf8, - 0x6231, 0xade4, 0x6221, 0xadd1, 0x6211, 0xadbe, 0x6201, 0xadab, - 0x61f1, 0xad97, 0x61e0, 0xad84, 0x61d0, 0xad71, 0x61c0, 0xad5e, - 0x61b0, 0xad4b, 0x619f, 0xad37, 0x618f, 0xad24, 0x617f, 0xad11, - 0x616f, 0xacfe, 0x615e, 0xaceb, 0x614e, 0xacd8, 0x613e, 0xacc5, - 0x612d, 0xacb2, 0x611d, 0xac9e, 0x610d, 0xac8b, 0x60fc, 0xac78, - 0x60ec, 0xac65, 0x60db, 0xac52, 0x60cb, 0xac3f, 0x60ba, 0xac2c, - 0x60aa, 0xac19, 0x6099, 0xac06, 0x6089, 0xabf3, 0x6078, 0xabe0, - 0x6068, 0xabcd, 0x6057, 0xabbb, 0x6047, 0xaba8, 0x6036, 0xab95, - 0x6026, 0xab82, 0x6015, 0xab6f, 0x6004, 0xab5c, 0x5ff4, 0xab49, - 0x5fe3, 0xab36, 0x5fd3, 0xab24, 0x5fc2, 0xab11, 0x5fb1, 0xaafe, - 0x5fa0, 0xaaeb, 0x5f90, 0xaad8, 0x5f7f, 0xaac6, 0x5f6e, 0xaab3, - 0x5f5e, 0xaaa0, 0x5f4d, 0xaa8e, 0x5f3c, 0xaa7b, 0x5f2b, 0xaa68, - 0x5f1a, 0xaa55, 0x5f0a, 0xaa43, 0x5ef9, 0xaa30, 0x5ee8, 0xaa1d, - 0x5ed7, 0xaa0b, 0x5ec6, 0xa9f8, 0x5eb5, 0xa9e6, 0x5ea4, 0xa9d3, - 0x5e93, 0xa9c0, 0x5e82, 0xa9ae, 0x5e71, 0xa99b, 0x5e60, 0xa989, - 0x5e50, 0xa976, 0x5e3f, 0xa964, 0x5e2d, 0xa951, 0x5e1c, 0xa93f, - 0x5e0b, 0xa92c, 0x5dfa, 0xa91a, 0x5de9, 0xa907, 0x5dd8, 0xa8f5, - 0x5dc7, 0xa8e3, 0x5db6, 0xa8d0, 0x5da5, 0xa8be, 0x5d94, 0xa8ab, - 0x5d83, 0xa899, 0x5d71, 0xa887, 0x5d60, 0xa874, 0x5d4f, 0xa862, - 0x5d3e, 0xa850, 0x5d2d, 0xa83d, 0x5d1b, 0xa82b, 0x5d0a, 0xa819, - 0x5cf9, 0xa807, 0x5ce8, 0xa7f4, 0x5cd6, 0xa7e2, 0x5cc5, 0xa7d0, - 0x5cb4, 0xa7be, 0x5ca2, 0xa7ab, 0x5c91, 0xa799, 0x5c80, 0xa787, - 0x5c6e, 0xa775, 0x5c5d, 0xa763, 0x5c4b, 0xa751, 0x5c3a, 0xa73f, - 0x5c29, 0xa72c, 0x5c17, 0xa71a, 0x5c06, 0xa708, 0x5bf4, 0xa6f6, - 0x5be3, 0xa6e4, 0x5bd1, 0xa6d2, 0x5bc0, 0xa6c0, 0x5bae, 0xa6ae, - 0x5b9d, 0xa69c, 0x5b8b, 0xa68a, 0x5b79, 0xa678, 0x5b68, 0xa666, - 0x5b56, 0xa654, 0x5b45, 0xa642, 0x5b33, 0xa630, 0x5b21, 0xa61f, - 0x5b10, 0xa60d, 0x5afe, 0xa5fb, 0x5aec, 0xa5e9, 0x5adb, 0xa5d7, - 0x5ac9, 0xa5c5, 0x5ab7, 0xa5b3, 0x5aa5, 0xa5a2, 0x5a94, 0xa590, - 0x5a82, 0xa57e, 0x5a70, 0xa56c, 0x5a5e, 0xa55b, 0x5a4d, 0xa549, - 0x5a3b, 0xa537, 0x5a29, 0xa525, 0x5a17, 0xa514, 0x5a05, 0xa502, - 0x59f3, 0xa4f0, 0x59e1, 0xa4df, 0x59d0, 0xa4cd, 0x59be, 0xa4bb, - 0x59ac, 0xa4aa, 0x599a, 0xa498, 0x5988, 0xa487, 0x5976, 0xa475, - 0x5964, 0xa463, 0x5952, 0xa452, 0x5940, 0xa440, 0x592e, 0xa42f, - 0x591c, 0xa41d, 0x590a, 0xa40c, 0x58f8, 0xa3fa, 0x58e6, 0xa3e9, - 0x58d4, 0xa3d7, 0x58c1, 0xa3c6, 0x58af, 0xa3b5, 0x589d, 0xa3a3, - 0x588b, 0xa392, 0x5879, 0xa380, 0x5867, 0xa36f, 0x5855, 0xa35e, - 0x5842, 0xa34c, 0x5830, 0xa33b, 0x581e, 0xa32a, 0x580c, 0xa318, - 0x57f9, 0xa307, 0x57e7, 0xa2f6, 0x57d5, 0xa2e5, 0x57c3, 0xa2d3, - 0x57b0, 0xa2c2, 0x579e, 0xa2b1, 0x578c, 0xa2a0, 0x5779, 0xa28f, - 0x5767, 0xa27d, 0x5755, 0xa26c, 0x5742, 0xa25b, 0x5730, 0xa24a, - 0x571d, 0xa239, 0x570b, 0xa228, 0x56f9, 0xa217, 0x56e6, 0xa206, - 0x56d4, 0xa1f5, 0x56c1, 0xa1e4, 0x56af, 0xa1d3, 0x569c, 0xa1c1, - 0x568a, 0xa1b0, 0x5677, 0xa1a0, 0x5665, 0xa18f, 0x5652, 0xa17e, - 0x5640, 0xa16d, 0x562d, 0xa15c, 0x561a, 0xa14b, 0x5608, 0xa13a, - 0x55f5, 0xa129, 0x55e3, 0xa118, 0x55d0, 0xa107, 0x55bd, 0xa0f6, - 0x55ab, 0xa0e6, 0x5598, 0xa0d5, 0x5585, 0xa0c4, 0x5572, 0xa0b3, - 0x5560, 0xa0a2, 0x554d, 0xa092, 0x553a, 0xa081, 0x5528, 0xa070, - 0x5515, 0xa060, 0x5502, 0xa04f, 0x54ef, 0xa03e, 0x54dc, 0xa02d, - 0x54ca, 0xa01d, 0x54b7, 0xa00c, 0x54a4, 0x9ffc, 0x5491, 0x9feb, - 0x547e, 0x9fda, 0x546b, 0x9fca, 0x5458, 0x9fb9, 0x5445, 0x9fa9, - 0x5433, 0x9f98, 0x5420, 0x9f88, 0x540d, 0x9f77, 0x53fa, 0x9f67, - 0x53e7, 0x9f56, 0x53d4, 0x9f46, 0x53c1, 0x9f35, 0x53ae, 0x9f25, - 0x539b, 0x9f14, 0x5388, 0x9f04, 0x5375, 0x9ef3, 0x5362, 0x9ee3, - 0x534e, 0x9ed3, 0x533b, 0x9ec2, 0x5328, 0x9eb2, 0x5315, 0x9ea2, - 0x5302, 0x9e91, 0x52ef, 0x9e81, 0x52dc, 0x9e71, 0x52c9, 0x9e61, - 0x52b5, 0x9e50, 0x52a2, 0x9e40, 0x528f, 0x9e30, 0x527c, 0x9e20, - 0x5269, 0x9e0f, 0x5255, 0x9dff, 0x5242, 0x9def, 0x522f, 0x9ddf, - 0x521c, 0x9dcf, 0x5208, 0x9dbf, 0x51f5, 0x9daf, 0x51e2, 0x9d9f, - 0x51ce, 0x9d8f, 0x51bb, 0x9d7e, 0x51a8, 0x9d6e, 0x5194, 0x9d5e, - 0x5181, 0x9d4e, 0x516e, 0x9d3e, 0x515a, 0x9d2e, 0x5147, 0x9d1e, - 0x5133, 0x9d0e, 0x5120, 0x9cff, 0x510c, 0x9cef, 0x50f9, 0x9cdf, - 0x50e5, 0x9ccf, 0x50d2, 0x9cbf, 0x50bf, 0x9caf, 0x50ab, 0x9c9f, - 0x5097, 0x9c8f, 0x5084, 0x9c80, 0x5070, 0x9c70, 0x505d, 0x9c60, - 0x5049, 0x9c50, 0x5036, 0x9c40, 0x5022, 0x9c31, 0x500f, 0x9c21, - 0x4ffb, 0x9c11, 0x4fe7, 0x9c02, 0x4fd4, 0x9bf2, 0x4fc0, 0x9be2, - 0x4fac, 0x9bd3, 0x4f99, 0x9bc3, 0x4f85, 0x9bb3, 0x4f71, 0x9ba4, - 0x4f5e, 0x9b94, 0x4f4a, 0x9b85, 0x4f36, 0x9b75, 0x4f22, 0x9b65, - 0x4f0f, 0x9b56, 0x4efb, 0x9b46, 0x4ee7, 0x9b37, 0x4ed3, 0x9b27, - 0x4ebf, 0x9b18, 0x4eac, 0x9b09, 0x4e98, 0x9af9, 0x4e84, 0x9aea, - 0x4e70, 0x9ada, 0x4e5c, 0x9acb, 0x4e48, 0x9abb, 0x4e34, 0x9aac, - 0x4e21, 0x9a9d, 0x4e0d, 0x9a8d, 0x4df9, 0x9a7e, 0x4de5, 0x9a6f, - 0x4dd1, 0x9a60, 0x4dbd, 0x9a50, 0x4da9, 0x9a41, 0x4d95, 0x9a32, - 0x4d81, 0x9a23, 0x4d6d, 0x9a13, 0x4d59, 0x9a04, 0x4d45, 0x99f5, - 0x4d31, 0x99e6, 0x4d1d, 0x99d7, 0x4d09, 0x99c7, 0x4cf5, 0x99b8, - 0x4ce1, 0x99a9, 0x4ccc, 0x999a, 0x4cb8, 0x998b, 0x4ca4, 0x997c, - 0x4c90, 0x996d, 0x4c7c, 0x995e, 0x4c68, 0x994f, 0x4c54, 0x9940, - 0x4c3f, 0x9931, 0x4c2b, 0x9922, 0x4c17, 0x9913, 0x4c03, 0x9904, - 0x4bef, 0x98f5, 0x4bda, 0x98e6, 0x4bc6, 0x98d7, 0x4bb2, 0x98c9, - 0x4b9e, 0x98ba, 0x4b89, 0x98ab, 0x4b75, 0x989c, 0x4b61, 0x988d, - 0x4b4c, 0x987e, 0x4b38, 0x9870, 0x4b24, 0x9861, 0x4b0f, 0x9852, - 0x4afb, 0x9843, 0x4ae7, 0x9835, 0x4ad2, 0x9826, 0x4abe, 0x9817, - 0x4aa9, 0x9809, 0x4a95, 0x97fa, 0x4a81, 0x97eb, 0x4a6c, 0x97dd, - 0x4a58, 0x97ce, 0x4a43, 0x97c0, 0x4a2f, 0x97b1, 0x4a1a, 0x97a2, - 0x4a06, 0x9794, 0x49f1, 0x9785, 0x49dd, 0x9777, 0x49c8, 0x9768, - 0x49b4, 0x975a, 0x499f, 0x974b, 0x498a, 0x973d, 0x4976, 0x972f, - 0x4961, 0x9720, 0x494d, 0x9712, 0x4938, 0x9703, 0x4923, 0x96f5, - 0x490f, 0x96e7, 0x48fa, 0x96d8, 0x48e6, 0x96ca, 0x48d1, 0x96bc, - 0x48bc, 0x96ad, 0x48a8, 0x969f, 0x4893, 0x9691, 0x487e, 0x9683, - 0x4869, 0x9674, 0x4855, 0x9666, 0x4840, 0x9658, 0x482b, 0x964a, - 0x4816, 0x963c, 0x4802, 0x962d, 0x47ed, 0x961f, 0x47d8, 0x9611, - 0x47c3, 0x9603, 0x47ae, 0x95f5, 0x479a, 0x95e7, 0x4785, 0x95d9, - 0x4770, 0x95cb, 0x475b, 0x95bd, 0x4746, 0x95af, 0x4731, 0x95a1, - 0x471c, 0x9593, 0x4708, 0x9585, 0x46f3, 0x9577, 0x46de, 0x9569, - 0x46c9, 0x955b, 0x46b4, 0x954d, 0x469f, 0x953f, 0x468a, 0x9532, - 0x4675, 0x9524, 0x4660, 0x9516, 0x464b, 0x9508, 0x4636, 0x94fa, - 0x4621, 0x94ed, 0x460c, 0x94df, 0x45f7, 0x94d1, 0x45e2, 0x94c3, - 0x45cd, 0x94b6, 0x45b8, 0x94a8, 0x45a3, 0x949a, 0x458d, 0x948d, - 0x4578, 0x947f, 0x4563, 0x9471, 0x454e, 0x9464, 0x4539, 0x9456, - 0x4524, 0x9448, 0x450f, 0x943b, 0x44fa, 0x942d, 0x44e4, 0x9420, - 0x44cf, 0x9412, 0x44ba, 0x9405, 0x44a5, 0x93f7, 0x4490, 0x93ea, - 0x447a, 0x93dc, 0x4465, 0x93cf, 0x4450, 0x93c1, 0x443b, 0x93b4, - 0x4425, 0x93a7, 0x4410, 0x9399, 0x43fb, 0x938c, 0x43e5, 0x937f, - 0x43d0, 0x9371, 0x43bb, 0x9364, 0x43a5, 0x9357, 0x4390, 0x9349, - 0x437b, 0x933c, 0x4365, 0x932f, 0x4350, 0x9322, 0x433b, 0x9314, - 0x4325, 0x9307, 0x4310, 0x92fa, 0x42fa, 0x92ed, 0x42e5, 0x92e0, - 0x42d0, 0x92d3, 0x42ba, 0x92c6, 0x42a5, 0x92b8, 0x428f, 0x92ab, - 0x427a, 0x929e, 0x4264, 0x9291, 0x424f, 0x9284, 0x4239, 0x9277, - 0x4224, 0x926a, 0x420e, 0x925d, 0x41f9, 0x9250, 0x41e3, 0x9243, - 0x41ce, 0x9236, 0x41b8, 0x922a, 0x41a2, 0x921d, 0x418d, 0x9210, - 0x4177, 0x9203, 0x4162, 0x91f6, 0x414c, 0x91e9, 0x4136, 0x91dc, - 0x4121, 0x91d0, 0x410b, 0x91c3, 0x40f6, 0x91b6, 0x40e0, 0x91a9, - 0x40ca, 0x919d, 0x40b5, 0x9190, 0x409f, 0x9183, 0x4089, 0x9177, - 0x4073, 0x916a, 0x405e, 0x915d, 0x4048, 0x9151, 0x4032, 0x9144, - 0x401d, 0x9137, 0x4007, 0x912b, 0x3ff1, 0x911e, 0x3fdb, 0x9112, - 0x3fc5, 0x9105, 0x3fb0, 0x90f9, 0x3f9a, 0x90ec, 0x3f84, 0x90e0, - 0x3f6e, 0x90d3, 0x3f58, 0x90c7, 0x3f43, 0x90ba, 0x3f2d, 0x90ae, - 0x3f17, 0x90a1, 0x3f01, 0x9095, 0x3eeb, 0x9089, 0x3ed5, 0x907c, - 0x3ebf, 0x9070, 0x3ea9, 0x9064, 0x3e93, 0x9057, 0x3e7d, 0x904b, - 0x3e68, 0x903f, 0x3e52, 0x9033, 0x3e3c, 0x9026, 0x3e26, 0x901a, - 0x3e10, 0x900e, 0x3dfa, 0x9002, 0x3de4, 0x8ff6, 0x3dce, 0x8fea, - 0x3db8, 0x8fdd, 0x3da2, 0x8fd1, 0x3d8c, 0x8fc5, 0x3d76, 0x8fb9, - 0x3d60, 0x8fad, 0x3d49, 0x8fa1, 0x3d33, 0x8f95, 0x3d1d, 0x8f89, - 0x3d07, 0x8f7d, 0x3cf1, 0x8f71, 0x3cdb, 0x8f65, 0x3cc5, 0x8f59, - 0x3caf, 0x8f4d, 0x3c99, 0x8f41, 0x3c83, 0x8f35, 0x3c6c, 0x8f2a, - 0x3c56, 0x8f1e, 0x3c40, 0x8f12, 0x3c2a, 0x8f06, 0x3c14, 0x8efa, - 0x3bfd, 0x8eee, 0x3be7, 0x8ee3, 0x3bd1, 0x8ed7, 0x3bbb, 0x8ecb, - 0x3ba5, 0x8ebf, 0x3b8e, 0x8eb4, 0x3b78, 0x8ea8, 0x3b62, 0x8e9c, - 0x3b4c, 0x8e91, 0x3b35, 0x8e85, 0x3b1f, 0x8e7a, 0x3b09, 0x8e6e, - 0x3af2, 0x8e62, 0x3adc, 0x8e57, 0x3ac6, 0x8e4b, 0x3aaf, 0x8e40, - 0x3a99, 0x8e34, 0x3a83, 0x8e29, 0x3a6c, 0x8e1d, 0x3a56, 0x8e12, - 0x3a40, 0x8e06, 0x3a29, 0x8dfb, 0x3a13, 0x8def, 0x39fd, 0x8de4, - 0x39e6, 0x8dd9, 0x39d0, 0x8dcd, 0x39b9, 0x8dc2, 0x39a3, 0x8db7, - 0x398c, 0x8dab, 0x3976, 0x8da0, 0x395f, 0x8d95, 0x3949, 0x8d8a, - 0x3932, 0x8d7e, 0x391c, 0x8d73, 0x3906, 0x8d68, 0x38ef, 0x8d5d, - 0x38d8, 0x8d51, 0x38c2, 0x8d46, 0x38ab, 0x8d3b, 0x3895, 0x8d30, - 0x387e, 0x8d25, 0x3868, 0x8d1a, 0x3851, 0x8d0f, 0x383b, 0x8d04, - 0x3824, 0x8cf9, 0x380d, 0x8cee, 0x37f7, 0x8ce3, 0x37e0, 0x8cd8, - 0x37ca, 0x8ccd, 0x37b3, 0x8cc2, 0x379c, 0x8cb7, 0x3786, 0x8cac, - 0x376f, 0x8ca1, 0x3758, 0x8c96, 0x3742, 0x8c8b, 0x372b, 0x8c81, - 0x3714, 0x8c76, 0x36fe, 0x8c6b, 0x36e7, 0x8c60, 0x36d0, 0x8c55, - 0x36ba, 0x8c4b, 0x36a3, 0x8c40, 0x368c, 0x8c35, 0x3675, 0x8c2a, - 0x365f, 0x8c20, 0x3648, 0x8c15, 0x3631, 0x8c0a, 0x361a, 0x8c00, - 0x3604, 0x8bf5, 0x35ed, 0x8beb, 0x35d6, 0x8be0, 0x35bf, 0x8bd5, - 0x35a8, 0x8bcb, 0x3592, 0x8bc0, 0x357b, 0x8bb6, 0x3564, 0x8bab, - 0x354d, 0x8ba1, 0x3536, 0x8b96, 0x351f, 0x8b8c, 0x3508, 0x8b82, - 0x34f2, 0x8b77, 0x34db, 0x8b6d, 0x34c4, 0x8b62, 0x34ad, 0x8b58, - 0x3496, 0x8b4e, 0x347f, 0x8b43, 0x3468, 0x8b39, 0x3451, 0x8b2f, - 0x343a, 0x8b25, 0x3423, 0x8b1a, 0x340c, 0x8b10, 0x33f5, 0x8b06, - 0x33de, 0x8afc, 0x33c7, 0x8af1, 0x33b0, 0x8ae7, 0x3399, 0x8add, - 0x3382, 0x8ad3, 0x336b, 0x8ac9, 0x3354, 0x8abf, 0x333d, 0x8ab5, - 0x3326, 0x8aab, 0x330f, 0x8aa1, 0x32f8, 0x8a97, 0x32e1, 0x8a8d, - 0x32ca, 0x8a83, 0x32b3, 0x8a79, 0x329c, 0x8a6f, 0x3285, 0x8a65, - 0x326e, 0x8a5b, 0x3257, 0x8a51, 0x3240, 0x8a47, 0x3228, 0x8a3d, - 0x3211, 0x8a34, 0x31fa, 0x8a2a, 0x31e3, 0x8a20, 0x31cc, 0x8a16, - 0x31b5, 0x8a0c, 0x319e, 0x8a03, 0x3186, 0x89f9, 0x316f, 0x89ef, - 0x3158, 0x89e5, 0x3141, 0x89dc, 0x312a, 0x89d2, 0x3112, 0x89c8, - 0x30fb, 0x89bf, 0x30e4, 0x89b5, 0x30cd, 0x89ac, 0x30b6, 0x89a2, - 0x309e, 0x8998, 0x3087, 0x898f, 0x3070, 0x8985, 0x3059, 0x897c, - 0x3041, 0x8972, 0x302a, 0x8969, 0x3013, 0x8960, 0x2ffb, 0x8956, - 0x2fe4, 0x894d, 0x2fcd, 0x8943, 0x2fb5, 0x893a, 0x2f9e, 0x8931, - 0x2f87, 0x8927, 0x2f6f, 0x891e, 0x2f58, 0x8915, 0x2f41, 0x890b, - 0x2f29, 0x8902, 0x2f12, 0x88f9, 0x2efb, 0x88f0, 0x2ee3, 0x88e6, - 0x2ecc, 0x88dd, 0x2eb5, 0x88d4, 0x2e9d, 0x88cb, 0x2e86, 0x88c2, - 0x2e6e, 0x88b9, 0x2e57, 0x88af, 0x2e3f, 0x88a6, 0x2e28, 0x889d, - 0x2e11, 0x8894, 0x2df9, 0x888b, 0x2de2, 0x8882, 0x2dca, 0x8879, - 0x2db3, 0x8870, 0x2d9b, 0x8867, 0x2d84, 0x885e, 0x2d6c, 0x8855, - 0x2d55, 0x884c, 0x2d3d, 0x8844, 0x2d26, 0x883b, 0x2d0e, 0x8832, - 0x2cf7, 0x8829, 0x2cdf, 0x8820, 0x2cc8, 0x8817, 0x2cb0, 0x880f, - 0x2c98, 0x8806, 0x2c81, 0x87fd, 0x2c69, 0x87f4, 0x2c52, 0x87ec, - 0x2c3a, 0x87e3, 0x2c23, 0x87da, 0x2c0b, 0x87d2, 0x2bf3, 0x87c9, - 0x2bdc, 0x87c0, 0x2bc4, 0x87b8, 0x2bad, 0x87af, 0x2b95, 0x87a7, - 0x2b7d, 0x879e, 0x2b66, 0x8795, 0x2b4e, 0x878d, 0x2b36, 0x8784, - 0x2b1f, 0x877c, 0x2b07, 0x8774, 0x2aef, 0x876b, 0x2ad8, 0x8763, - 0x2ac0, 0x875a, 0x2aa8, 0x8752, 0x2a91, 0x874a, 0x2a79, 0x8741, - 0x2a61, 0x8739, 0x2a49, 0x8731, 0x2a32, 0x8728, 0x2a1a, 0x8720, - 0x2a02, 0x8718, 0x29eb, 0x870f, 0x29d3, 0x8707, 0x29bb, 0x86ff, - 0x29a3, 0x86f7, 0x298b, 0x86ef, 0x2974, 0x86e7, 0x295c, 0x86de, - 0x2944, 0x86d6, 0x292c, 0x86ce, 0x2915, 0x86c6, 0x28fd, 0x86be, - 0x28e5, 0x86b6, 0x28cd, 0x86ae, 0x28b5, 0x86a6, 0x289d, 0x869e, - 0x2886, 0x8696, 0x286e, 0x868e, 0x2856, 0x8686, 0x283e, 0x867e, - 0x2826, 0x8676, 0x280e, 0x866e, 0x27f6, 0x8667, 0x27df, 0x865f, - 0x27c7, 0x8657, 0x27af, 0x864f, 0x2797, 0x8647, 0x277f, 0x8640, - 0x2767, 0x8638, 0x274f, 0x8630, 0x2737, 0x8628, 0x271f, 0x8621, - 0x2707, 0x8619, 0x26ef, 0x8611, 0x26d8, 0x860a, 0x26c0, 0x8602, - 0x26a8, 0x85fb, 0x2690, 0x85f3, 0x2678, 0x85eb, 0x2660, 0x85e4, - 0x2648, 0x85dc, 0x2630, 0x85d5, 0x2618, 0x85cd, 0x2600, 0x85c6, - 0x25e8, 0x85be, 0x25d0, 0x85b7, 0x25b8, 0x85b0, 0x25a0, 0x85a8, - 0x2588, 0x85a1, 0x2570, 0x8599, 0x2558, 0x8592, 0x2540, 0x858b, - 0x2528, 0x8583, 0x250f, 0x857c, 0x24f7, 0x8575, 0x24df, 0x856e, - 0x24c7, 0x8566, 0x24af, 0x855f, 0x2497, 0x8558, 0x247f, 0x8551, - 0x2467, 0x854a, 0x244f, 0x8543, 0x2437, 0x853b, 0x241f, 0x8534, - 0x2407, 0x852d, 0x23ee, 0x8526, 0x23d6, 0x851f, 0x23be, 0x8518, - 0x23a6, 0x8511, 0x238e, 0x850a, 0x2376, 0x8503, 0x235e, 0x84fc, - 0x2345, 0x84f5, 0x232d, 0x84ee, 0x2315, 0x84e7, 0x22fd, 0x84e1, - 0x22e5, 0x84da, 0x22cd, 0x84d3, 0x22b4, 0x84cc, 0x229c, 0x84c5, - 0x2284, 0x84be, 0x226c, 0x84b8, 0x2254, 0x84b1, 0x223b, 0x84aa, - 0x2223, 0x84a3, 0x220b, 0x849d, 0x21f3, 0x8496, 0x21da, 0x848f, - 0x21c2, 0x8489, 0x21aa, 0x8482, 0x2192, 0x847c, 0x2179, 0x8475, - 0x2161, 0x846e, 0x2149, 0x8468, 0x2131, 0x8461, 0x2118, 0x845b, - 0x2100, 0x8454, 0x20e8, 0x844e, 0x20d0, 0x8447, 0x20b7, 0x8441, - 0x209f, 0x843b, 0x2087, 0x8434, 0x206e, 0x842e, 0x2056, 0x8427, - 0x203e, 0x8421, 0x2025, 0x841b, 0x200d, 0x8415, 0x1ff5, 0x840e, - 0x1fdc, 0x8408, 0x1fc4, 0x8402, 0x1fac, 0x83fb, 0x1f93, 0x83f5, - 0x1f7b, 0x83ef, 0x1f63, 0x83e9, 0x1f4a, 0x83e3, 0x1f32, 0x83dd, - 0x1f19, 0x83d7, 0x1f01, 0x83d0, 0x1ee9, 0x83ca, 0x1ed0, 0x83c4, - 0x1eb8, 0x83be, 0x1ea0, 0x83b8, 0x1e87, 0x83b2, 0x1e6f, 0x83ac, - 0x1e56, 0x83a6, 0x1e3e, 0x83a0, 0x1e25, 0x839a, 0x1e0d, 0x8394, - 0x1df5, 0x838f, 0x1ddc, 0x8389, 0x1dc4, 0x8383, 0x1dab, 0x837d, - 0x1d93, 0x8377, 0x1d7a, 0x8371, 0x1d62, 0x836c, 0x1d49, 0x8366, - 0x1d31, 0x8360, 0x1d18, 0x835a, 0x1d00, 0x8355, 0x1ce8, 0x834f, - 0x1ccf, 0x8349, 0x1cb7, 0x8344, 0x1c9e, 0x833e, 0x1c86, 0x8338, - 0x1c6d, 0x8333, 0x1c55, 0x832d, 0x1c3c, 0x8328, 0x1c24, 0x8322, - 0x1c0b, 0x831d, 0x1bf2, 0x8317, 0x1bda, 0x8312, 0x1bc1, 0x830c, - 0x1ba9, 0x8307, 0x1b90, 0x8301, 0x1b78, 0x82fc, 0x1b5f, 0x82f7, - 0x1b47, 0x82f1, 0x1b2e, 0x82ec, 0x1b16, 0x82e7, 0x1afd, 0x82e1, - 0x1ae4, 0x82dc, 0x1acc, 0x82d7, 0x1ab3, 0x82d1, 0x1a9b, 0x82cc, - 0x1a82, 0x82c7, 0x1a6a, 0x82c2, 0x1a51, 0x82bd, 0x1a38, 0x82b7, - 0x1a20, 0x82b2, 0x1a07, 0x82ad, 0x19ef, 0x82a8, 0x19d6, 0x82a3, - 0x19bd, 0x829e, 0x19a5, 0x8299, 0x198c, 0x8294, 0x1973, 0x828f, - 0x195b, 0x828a, 0x1942, 0x8285, 0x192a, 0x8280, 0x1911, 0x827b, - 0x18f8, 0x8276, 0x18e0, 0x8271, 0x18c7, 0x826c, 0x18ae, 0x8268, - 0x1896, 0x8263, 0x187d, 0x825e, 0x1864, 0x8259, 0x184c, 0x8254, - 0x1833, 0x8250, 0x181a, 0x824b, 0x1802, 0x8246, 0x17e9, 0x8241, - 0x17d0, 0x823d, 0x17b7, 0x8238, 0x179f, 0x8233, 0x1786, 0x822f, - 0x176d, 0x822a, 0x1755, 0x8226, 0x173c, 0x8221, 0x1723, 0x821c, - 0x170a, 0x8218, 0x16f2, 0x8213, 0x16d9, 0x820f, 0x16c0, 0x820a, - 0x16a8, 0x8206, 0x168f, 0x8201, 0x1676, 0x81fd, 0x165d, 0x81f9, - 0x1645, 0x81f4, 0x162c, 0x81f0, 0x1613, 0x81ec, 0x15fa, 0x81e7, - 0x15e2, 0x81e3, 0x15c9, 0x81df, 0x15b0, 0x81da, 0x1597, 0x81d6, - 0x157f, 0x81d2, 0x1566, 0x81ce, 0x154d, 0x81c9, 0x1534, 0x81c5, - 0x151b, 0x81c1, 0x1503, 0x81bd, 0x14ea, 0x81b9, 0x14d1, 0x81b5, - 0x14b8, 0x81b1, 0x149f, 0x81ad, 0x1487, 0x81a9, 0x146e, 0x81a5, - 0x1455, 0x81a1, 0x143c, 0x819d, 0x1423, 0x8199, 0x140b, 0x8195, - 0x13f2, 0x8191, 0x13d9, 0x818d, 0x13c0, 0x8189, 0x13a7, 0x8185, - 0x138e, 0x8181, 0x1376, 0x817d, 0x135d, 0x817a, 0x1344, 0x8176, - 0x132b, 0x8172, 0x1312, 0x816e, 0x12f9, 0x816b, 0x12e0, 0x8167, - 0x12c8, 0x8163, 0x12af, 0x815f, 0x1296, 0x815c, 0x127d, 0x8158, - 0x1264, 0x8155, 0x124b, 0x8151, 0x1232, 0x814d, 0x1219, 0x814a, - 0x1201, 0x8146, 0x11e8, 0x8143, 0x11cf, 0x813f, 0x11b6, 0x813c, - 0x119d, 0x8138, 0x1184, 0x8135, 0x116b, 0x8131, 0x1152, 0x812e, - 0x1139, 0x812b, 0x1121, 0x8127, 0x1108, 0x8124, 0x10ef, 0x8121, - 0x10d6, 0x811d, 0x10bd, 0x811a, 0x10a4, 0x8117, 0x108b, 0x8113, - 0x1072, 0x8110, 0x1059, 0x810d, 0x1040, 0x810a, 0x1027, 0x8107, - 0x100e, 0x8103, 0xff5, 0x8100, 0xfdd, 0x80fd, 0xfc4, 0x80fa, - 0xfab, 0x80f7, 0xf92, 0x80f4, 0xf79, 0x80f1, 0xf60, 0x80ee, - 0xf47, 0x80eb, 0xf2e, 0x80e8, 0xf15, 0x80e5, 0xefc, 0x80e2, - 0xee3, 0x80df, 0xeca, 0x80dc, 0xeb1, 0x80d9, 0xe98, 0x80d6, - 0xe7f, 0x80d3, 0xe66, 0x80d1, 0xe4d, 0x80ce, 0xe34, 0x80cb, - 0xe1b, 0x80c8, 0xe02, 0x80c5, 0xde9, 0x80c3, 0xdd0, 0x80c0, - 0xdb7, 0x80bd, 0xd9e, 0x80bb, 0xd85, 0x80b8, 0xd6c, 0x80b5, - 0xd53, 0x80b3, 0xd3a, 0x80b0, 0xd21, 0x80ad, 0xd08, 0x80ab, - 0xcef, 0x80a8, 0xcd6, 0x80a6, 0xcbd, 0x80a3, 0xca4, 0x80a1, - 0xc8b, 0x809e, 0xc72, 0x809c, 0xc59, 0x8099, 0xc40, 0x8097, - 0xc27, 0x8095, 0xc0e, 0x8092, 0xbf5, 0x8090, 0xbdc, 0x808e, - 0xbc3, 0x808b, 0xbaa, 0x8089, 0xb91, 0x8087, 0xb78, 0x8084, - 0xb5f, 0x8082, 0xb46, 0x8080, 0xb2d, 0x807e, 0xb14, 0x807b, - 0xafb, 0x8079, 0xae2, 0x8077, 0xac9, 0x8075, 0xab0, 0x8073, - 0xa97, 0x8071, 0xa7e, 0x806f, 0xa65, 0x806d, 0xa4c, 0x806b, - 0xa33, 0x8069, 0xa19, 0x8067, 0xa00, 0x8065, 0x9e7, 0x8063, - 0x9ce, 0x8061, 0x9b5, 0x805f, 0x99c, 0x805d, 0x983, 0x805b, - 0x96a, 0x8059, 0x951, 0x8057, 0x938, 0x8056, 0x91f, 0x8054, - 0x906, 0x8052, 0x8ed, 0x8050, 0x8d4, 0x804f, 0x8bb, 0x804d, - 0x8a2, 0x804b, 0x888, 0x8049, 0x86f, 0x8048, 0x856, 0x8046, - 0x83d, 0x8044, 0x824, 0x8043, 0x80b, 0x8041, 0x7f2, 0x8040, - 0x7d9, 0x803e, 0x7c0, 0x803d, 0x7a7, 0x803b, 0x78e, 0x803a, - 0x775, 0x8038, 0x75b, 0x8037, 0x742, 0x8035, 0x729, 0x8034, - 0x710, 0x8032, 0x6f7, 0x8031, 0x6de, 0x8030, 0x6c5, 0x802e, - 0x6ac, 0x802d, 0x693, 0x802c, 0x67a, 0x802a, 0x660, 0x8029, - 0x647, 0x8028, 0x62e, 0x8027, 0x615, 0x8026, 0x5fc, 0x8024, - 0x5e3, 0x8023, 0x5ca, 0x8022, 0x5b1, 0x8021, 0x598, 0x8020, - 0x57f, 0x801f, 0x565, 0x801e, 0x54c, 0x801d, 0x533, 0x801c, - 0x51a, 0x801b, 0x501, 0x801a, 0x4e8, 0x8019, 0x4cf, 0x8018, - 0x4b6, 0x8017, 0x49c, 0x8016, 0x483, 0x8015, 0x46a, 0x8014, - 0x451, 0x8013, 0x438, 0x8012, 0x41f, 0x8012, 0x406, 0x8011, - 0x3ed, 0x8010, 0x3d4, 0x800f, 0x3ba, 0x800e, 0x3a1, 0x800e, - 0x388, 0x800d, 0x36f, 0x800c, 0x356, 0x800c, 0x33d, 0x800b, - 0x324, 0x800a, 0x30b, 0x800a, 0x2f1, 0x8009, 0x2d8, 0x8009, - 0x2bf, 0x8008, 0x2a6, 0x8008, 0x28d, 0x8007, 0x274, 0x8007, - 0x25b, 0x8006, 0x242, 0x8006, 0x228, 0x8005, 0x20f, 0x8005, - 0x1f6, 0x8004, 0x1dd, 0x8004, 0x1c4, 0x8004, 0x1ab, 0x8003, - 0x192, 0x8003, 0x178, 0x8003, 0x15f, 0x8002, 0x146, 0x8002, - 0x12d, 0x8002, 0x114, 0x8002, 0xfb, 0x8001, 0xe2, 0x8001, - 0xc9, 0x8001, 0xaf, 0x8001, 0x96, 0x8001, 0x7d, 0x8001, - 0x64, 0x8001, 0x4b, 0x8001, 0x32, 0x8001, 0x19, 0x8001, -}; - -static const q15_t ALIGN4 WeightsQ15_8192[16384] = { - 0x7fff, 0x0, 0x7fff, 0xfffa, 0x7fff, 0xfff4, 0x7fff, 0xffee, - 0x7fff, 0xffe7, 0x7fff, 0xffe1, 0x7fff, 0xffdb, 0x7fff, 0xffd5, - 0x7fff, 0xffce, 0x7fff, 0xffc8, 0x7fff, 0xffc2, 0x7fff, 0xffbb, - 0x7fff, 0xffb5, 0x7fff, 0xffaf, 0x7fff, 0xffa9, 0x7fff, 0xffa2, - 0x7fff, 0xff9c, 0x7fff, 0xff96, 0x7fff, 0xff8f, 0x7fff, 0xff89, - 0x7fff, 0xff83, 0x7fff, 0xff7d, 0x7fff, 0xff76, 0x7fff, 0xff70, - 0x7fff, 0xff6a, 0x7fff, 0xff63, 0x7fff, 0xff5d, 0x7fff, 0xff57, - 0x7fff, 0xff51, 0x7fff, 0xff4a, 0x7fff, 0xff44, 0x7fff, 0xff3e, - 0x7fff, 0xff37, 0x7fff, 0xff31, 0x7fff, 0xff2b, 0x7fff, 0xff25, - 0x7fff, 0xff1e, 0x7fff, 0xff18, 0x7fff, 0xff12, 0x7fff, 0xff0b, - 0x7fff, 0xff05, 0x7ffe, 0xfeff, 0x7ffe, 0xfef9, 0x7ffe, 0xfef2, - 0x7ffe, 0xfeec, 0x7ffe, 0xfee6, 0x7ffe, 0xfedf, 0x7ffe, 0xfed9, - 0x7ffe, 0xfed3, 0x7ffe, 0xfecd, 0x7ffe, 0xfec6, 0x7ffe, 0xfec0, - 0x7ffe, 0xfeba, 0x7ffe, 0xfeb3, 0x7ffe, 0xfead, 0x7ffe, 0xfea7, - 0x7ffe, 0xfea1, 0x7ffe, 0xfe9a, 0x7ffd, 0xfe94, 0x7ffd, 0xfe8e, - 0x7ffd, 0xfe88, 0x7ffd, 0xfe81, 0x7ffd, 0xfe7b, 0x7ffd, 0xfe75, - 0x7ffd, 0xfe6e, 0x7ffd, 0xfe68, 0x7ffd, 0xfe62, 0x7ffd, 0xfe5c, - 0x7ffd, 0xfe55, 0x7ffd, 0xfe4f, 0x7ffd, 0xfe49, 0x7ffc, 0xfe42, - 0x7ffc, 0xfe3c, 0x7ffc, 0xfe36, 0x7ffc, 0xfe30, 0x7ffc, 0xfe29, - 0x7ffc, 0xfe23, 0x7ffc, 0xfe1d, 0x7ffc, 0xfe16, 0x7ffc, 0xfe10, - 0x7ffc, 0xfe0a, 0x7ffc, 0xfe04, 0x7ffb, 0xfdfd, 0x7ffb, 0xfdf7, - 0x7ffb, 0xfdf1, 0x7ffb, 0xfdea, 0x7ffb, 0xfde4, 0x7ffb, 0xfdde, - 0x7ffb, 0xfdd8, 0x7ffb, 0xfdd1, 0x7ffb, 0xfdcb, 0x7ffb, 0xfdc5, - 0x7ffa, 0xfdbe, 0x7ffa, 0xfdb8, 0x7ffa, 0xfdb2, 0x7ffa, 0xfdac, - 0x7ffa, 0xfda5, 0x7ffa, 0xfd9f, 0x7ffa, 0xfd99, 0x7ffa, 0xfd93, - 0x7ff9, 0xfd8c, 0x7ff9, 0xfd86, 0x7ff9, 0xfd80, 0x7ff9, 0xfd79, - 0x7ff9, 0xfd73, 0x7ff9, 0xfd6d, 0x7ff9, 0xfd67, 0x7ff9, 0xfd60, - 0x7ff8, 0xfd5a, 0x7ff8, 0xfd54, 0x7ff8, 0xfd4d, 0x7ff8, 0xfd47, - 0x7ff8, 0xfd41, 0x7ff8, 0xfd3b, 0x7ff8, 0xfd34, 0x7ff8, 0xfd2e, - 0x7ff7, 0xfd28, 0x7ff7, 0xfd21, 0x7ff7, 0xfd1b, 0x7ff7, 0xfd15, - 0x7ff7, 0xfd0f, 0x7ff7, 0xfd08, 0x7ff7, 0xfd02, 0x7ff6, 0xfcfc, - 0x7ff6, 0xfcf5, 0x7ff6, 0xfcef, 0x7ff6, 0xfce9, 0x7ff6, 0xfce3, - 0x7ff6, 0xfcdc, 0x7ff5, 0xfcd6, 0x7ff5, 0xfcd0, 0x7ff5, 0xfcc9, - 0x7ff5, 0xfcc3, 0x7ff5, 0xfcbd, 0x7ff5, 0xfcb7, 0x7ff5, 0xfcb0, - 0x7ff4, 0xfcaa, 0x7ff4, 0xfca4, 0x7ff4, 0xfc9e, 0x7ff4, 0xfc97, - 0x7ff4, 0xfc91, 0x7ff4, 0xfc8b, 0x7ff3, 0xfc84, 0x7ff3, 0xfc7e, - 0x7ff3, 0xfc78, 0x7ff3, 0xfc72, 0x7ff3, 0xfc6b, 0x7ff2, 0xfc65, - 0x7ff2, 0xfc5f, 0x7ff2, 0xfc58, 0x7ff2, 0xfc52, 0x7ff2, 0xfc4c, - 0x7ff2, 0xfc46, 0x7ff1, 0xfc3f, 0x7ff1, 0xfc39, 0x7ff1, 0xfc33, - 0x7ff1, 0xfc2c, 0x7ff1, 0xfc26, 0x7ff0, 0xfc20, 0x7ff0, 0xfc1a, - 0x7ff0, 0xfc13, 0x7ff0, 0xfc0d, 0x7ff0, 0xfc07, 0x7fef, 0xfc01, - 0x7fef, 0xfbfa, 0x7fef, 0xfbf4, 0x7fef, 0xfbee, 0x7fef, 0xfbe7, - 0x7fee, 0xfbe1, 0x7fee, 0xfbdb, 0x7fee, 0xfbd5, 0x7fee, 0xfbce, - 0x7fee, 0xfbc8, 0x7fed, 0xfbc2, 0x7fed, 0xfbbb, 0x7fed, 0xfbb5, - 0x7fed, 0xfbaf, 0x7fed, 0xfba9, 0x7fec, 0xfba2, 0x7fec, 0xfb9c, - 0x7fec, 0xfb96, 0x7fec, 0xfb8f, 0x7fec, 0xfb89, 0x7feb, 0xfb83, - 0x7feb, 0xfb7d, 0x7feb, 0xfb76, 0x7feb, 0xfb70, 0x7fea, 0xfb6a, - 0x7fea, 0xfb64, 0x7fea, 0xfb5d, 0x7fea, 0xfb57, 0x7fea, 0xfb51, - 0x7fe9, 0xfb4a, 0x7fe9, 0xfb44, 0x7fe9, 0xfb3e, 0x7fe9, 0xfb38, - 0x7fe8, 0xfb31, 0x7fe8, 0xfb2b, 0x7fe8, 0xfb25, 0x7fe8, 0xfb1e, - 0x7fe7, 0xfb18, 0x7fe7, 0xfb12, 0x7fe7, 0xfb0c, 0x7fe7, 0xfb05, - 0x7fe6, 0xfaff, 0x7fe6, 0xfaf9, 0x7fe6, 0xfaf3, 0x7fe6, 0xfaec, - 0x7fe5, 0xfae6, 0x7fe5, 0xfae0, 0x7fe5, 0xfad9, 0x7fe5, 0xfad3, - 0x7fe4, 0xfacd, 0x7fe4, 0xfac7, 0x7fe4, 0xfac0, 0x7fe4, 0xfaba, - 0x7fe3, 0xfab4, 0x7fe3, 0xfaad, 0x7fe3, 0xfaa7, 0x7fe3, 0xfaa1, - 0x7fe2, 0xfa9b, 0x7fe2, 0xfa94, 0x7fe2, 0xfa8e, 0x7fe2, 0xfa88, - 0x7fe1, 0xfa81, 0x7fe1, 0xfa7b, 0x7fe1, 0xfa75, 0x7fe0, 0xfa6f, - 0x7fe0, 0xfa68, 0x7fe0, 0xfa62, 0x7fe0, 0xfa5c, 0x7fdf, 0xfa56, - 0x7fdf, 0xfa4f, 0x7fdf, 0xfa49, 0x7fdf, 0xfa43, 0x7fde, 0xfa3c, - 0x7fde, 0xfa36, 0x7fde, 0xfa30, 0x7fdd, 0xfa2a, 0x7fdd, 0xfa23, - 0x7fdd, 0xfa1d, 0x7fdd, 0xfa17, 0x7fdc, 0xfa11, 0x7fdc, 0xfa0a, - 0x7fdc, 0xfa04, 0x7fdb, 0xf9fe, 0x7fdb, 0xf9f7, 0x7fdb, 0xf9f1, - 0x7fda, 0xf9eb, 0x7fda, 0xf9e5, 0x7fda, 0xf9de, 0x7fda, 0xf9d8, - 0x7fd9, 0xf9d2, 0x7fd9, 0xf9cb, 0x7fd9, 0xf9c5, 0x7fd8, 0xf9bf, - 0x7fd8, 0xf9b9, 0x7fd8, 0xf9b2, 0x7fd7, 0xf9ac, 0x7fd7, 0xf9a6, - 0x7fd7, 0xf9a0, 0x7fd6, 0xf999, 0x7fd6, 0xf993, 0x7fd6, 0xf98d, - 0x7fd6, 0xf986, 0x7fd5, 0xf980, 0x7fd5, 0xf97a, 0x7fd5, 0xf974, - 0x7fd4, 0xf96d, 0x7fd4, 0xf967, 0x7fd4, 0xf961, 0x7fd3, 0xf95b, - 0x7fd3, 0xf954, 0x7fd3, 0xf94e, 0x7fd2, 0xf948, 0x7fd2, 0xf941, - 0x7fd2, 0xf93b, 0x7fd1, 0xf935, 0x7fd1, 0xf92f, 0x7fd1, 0xf928, - 0x7fd0, 0xf922, 0x7fd0, 0xf91c, 0x7fd0, 0xf916, 0x7fcf, 0xf90f, - 0x7fcf, 0xf909, 0x7fcf, 0xf903, 0x7fce, 0xf8fc, 0x7fce, 0xf8f6, - 0x7fce, 0xf8f0, 0x7fcd, 0xf8ea, 0x7fcd, 0xf8e3, 0x7fcd, 0xf8dd, - 0x7fcc, 0xf8d7, 0x7fcc, 0xf8d0, 0x7fcb, 0xf8ca, 0x7fcb, 0xf8c4, - 0x7fcb, 0xf8be, 0x7fca, 0xf8b7, 0x7fca, 0xf8b1, 0x7fca, 0xf8ab, - 0x7fc9, 0xf8a5, 0x7fc9, 0xf89e, 0x7fc9, 0xf898, 0x7fc8, 0xf892, - 0x7fc8, 0xf88b, 0x7fc7, 0xf885, 0x7fc7, 0xf87f, 0x7fc7, 0xf879, - 0x7fc6, 0xf872, 0x7fc6, 0xf86c, 0x7fc6, 0xf866, 0x7fc5, 0xf860, - 0x7fc5, 0xf859, 0x7fc5, 0xf853, 0x7fc4, 0xf84d, 0x7fc4, 0xf846, - 0x7fc3, 0xf840, 0x7fc3, 0xf83a, 0x7fc3, 0xf834, 0x7fc2, 0xf82d, - 0x7fc2, 0xf827, 0x7fc1, 0xf821, 0x7fc1, 0xf81b, 0x7fc1, 0xf814, - 0x7fc0, 0xf80e, 0x7fc0, 0xf808, 0x7fc0, 0xf802, 0x7fbf, 0xf7fb, - 0x7fbf, 0xf7f5, 0x7fbe, 0xf7ef, 0x7fbe, 0xf7e8, 0x7fbe, 0xf7e2, - 0x7fbd, 0xf7dc, 0x7fbd, 0xf7d6, 0x7fbc, 0xf7cf, 0x7fbc, 0xf7c9, - 0x7fbc, 0xf7c3, 0x7fbb, 0xf7bd, 0x7fbb, 0xf7b6, 0x7fba, 0xf7b0, - 0x7fba, 0xf7aa, 0x7fb9, 0xf7a3, 0x7fb9, 0xf79d, 0x7fb9, 0xf797, - 0x7fb8, 0xf791, 0x7fb8, 0xf78a, 0x7fb7, 0xf784, 0x7fb7, 0xf77e, - 0x7fb7, 0xf778, 0x7fb6, 0xf771, 0x7fb6, 0xf76b, 0x7fb5, 0xf765, - 0x7fb5, 0xf75e, 0x7fb4, 0xf758, 0x7fb4, 0xf752, 0x7fb4, 0xf74c, - 0x7fb3, 0xf745, 0x7fb3, 0xf73f, 0x7fb2, 0xf739, 0x7fb2, 0xf733, - 0x7fb1, 0xf72c, 0x7fb1, 0xf726, 0x7fb1, 0xf720, 0x7fb0, 0xf71a, - 0x7fb0, 0xf713, 0x7faf, 0xf70d, 0x7faf, 0xf707, 0x7fae, 0xf700, - 0x7fae, 0xf6fa, 0x7fae, 0xf6f4, 0x7fad, 0xf6ee, 0x7fad, 0xf6e7, - 0x7fac, 0xf6e1, 0x7fac, 0xf6db, 0x7fab, 0xf6d5, 0x7fab, 0xf6ce, - 0x7faa, 0xf6c8, 0x7faa, 0xf6c2, 0x7fa9, 0xf6bc, 0x7fa9, 0xf6b5, - 0x7fa9, 0xf6af, 0x7fa8, 0xf6a9, 0x7fa8, 0xf6a2, 0x7fa7, 0xf69c, - 0x7fa7, 0xf696, 0x7fa6, 0xf690, 0x7fa6, 0xf689, 0x7fa5, 0xf683, - 0x7fa5, 0xf67d, 0x7fa4, 0xf677, 0x7fa4, 0xf670, 0x7fa3, 0xf66a, - 0x7fa3, 0xf664, 0x7fa3, 0xf65e, 0x7fa2, 0xf657, 0x7fa2, 0xf651, - 0x7fa1, 0xf64b, 0x7fa1, 0xf644, 0x7fa0, 0xf63e, 0x7fa0, 0xf638, - 0x7f9f, 0xf632, 0x7f9f, 0xf62b, 0x7f9e, 0xf625, 0x7f9e, 0xf61f, - 0x7f9d, 0xf619, 0x7f9d, 0xf612, 0x7f9c, 0xf60c, 0x7f9c, 0xf606, - 0x7f9b, 0xf600, 0x7f9b, 0xf5f9, 0x7f9a, 0xf5f3, 0x7f9a, 0xf5ed, - 0x7f99, 0xf5e7, 0x7f99, 0xf5e0, 0x7f98, 0xf5da, 0x7f98, 0xf5d4, - 0x7f97, 0xf5cd, 0x7f97, 0xf5c7, 0x7f96, 0xf5c1, 0x7f96, 0xf5bb, - 0x7f95, 0xf5b4, 0x7f95, 0xf5ae, 0x7f94, 0xf5a8, 0x7f94, 0xf5a2, - 0x7f93, 0xf59b, 0x7f93, 0xf595, 0x7f92, 0xf58f, 0x7f92, 0xf589, - 0x7f91, 0xf582, 0x7f91, 0xf57c, 0x7f90, 0xf576, 0x7f90, 0xf570, - 0x7f8f, 0xf569, 0x7f8f, 0xf563, 0x7f8e, 0xf55d, 0x7f8e, 0xf556, - 0x7f8d, 0xf550, 0x7f8d, 0xf54a, 0x7f8c, 0xf544, 0x7f8b, 0xf53d, - 0x7f8b, 0xf537, 0x7f8a, 0xf531, 0x7f8a, 0xf52b, 0x7f89, 0xf524, - 0x7f89, 0xf51e, 0x7f88, 0xf518, 0x7f88, 0xf512, 0x7f87, 0xf50b, - 0x7f87, 0xf505, 0x7f86, 0xf4ff, 0x7f86, 0xf4f9, 0x7f85, 0xf4f2, - 0x7f85, 0xf4ec, 0x7f84, 0xf4e6, 0x7f83, 0xf4e0, 0x7f83, 0xf4d9, - 0x7f82, 0xf4d3, 0x7f82, 0xf4cd, 0x7f81, 0xf4c6, 0x7f81, 0xf4c0, - 0x7f80, 0xf4ba, 0x7f80, 0xf4b4, 0x7f7f, 0xf4ad, 0x7f7e, 0xf4a7, - 0x7f7e, 0xf4a1, 0x7f7d, 0xf49b, 0x7f7d, 0xf494, 0x7f7c, 0xf48e, - 0x7f7c, 0xf488, 0x7f7b, 0xf482, 0x7f7b, 0xf47b, 0x7f7a, 0xf475, - 0x7f79, 0xf46f, 0x7f79, 0xf469, 0x7f78, 0xf462, 0x7f78, 0xf45c, - 0x7f77, 0xf456, 0x7f77, 0xf450, 0x7f76, 0xf449, 0x7f75, 0xf443, - 0x7f75, 0xf43d, 0x7f74, 0xf437, 0x7f74, 0xf430, 0x7f73, 0xf42a, - 0x7f72, 0xf424, 0x7f72, 0xf41e, 0x7f71, 0xf417, 0x7f71, 0xf411, - 0x7f70, 0xf40b, 0x7f70, 0xf405, 0x7f6f, 0xf3fe, 0x7f6e, 0xf3f8, - 0x7f6e, 0xf3f2, 0x7f6d, 0xf3ec, 0x7f6d, 0xf3e5, 0x7f6c, 0xf3df, - 0x7f6b, 0xf3d9, 0x7f6b, 0xf3d2, 0x7f6a, 0xf3cc, 0x7f6a, 0xf3c6, - 0x7f69, 0xf3c0, 0x7f68, 0xf3b9, 0x7f68, 0xf3b3, 0x7f67, 0xf3ad, - 0x7f67, 0xf3a7, 0x7f66, 0xf3a0, 0x7f65, 0xf39a, 0x7f65, 0xf394, - 0x7f64, 0xf38e, 0x7f64, 0xf387, 0x7f63, 0xf381, 0x7f62, 0xf37b, - 0x7f62, 0xf375, 0x7f61, 0xf36e, 0x7f60, 0xf368, 0x7f60, 0xf362, - 0x7f5f, 0xf35c, 0x7f5f, 0xf355, 0x7f5e, 0xf34f, 0x7f5d, 0xf349, - 0x7f5d, 0xf343, 0x7f5c, 0xf33c, 0x7f5b, 0xf336, 0x7f5b, 0xf330, - 0x7f5a, 0xf32a, 0x7f5a, 0xf323, 0x7f59, 0xf31d, 0x7f58, 0xf317, - 0x7f58, 0xf311, 0x7f57, 0xf30a, 0x7f56, 0xf304, 0x7f56, 0xf2fe, - 0x7f55, 0xf2f8, 0x7f55, 0xf2f1, 0x7f54, 0xf2eb, 0x7f53, 0xf2e5, - 0x7f53, 0xf2df, 0x7f52, 0xf2d8, 0x7f51, 0xf2d2, 0x7f51, 0xf2cc, - 0x7f50, 0xf2c6, 0x7f4f, 0xf2bf, 0x7f4f, 0xf2b9, 0x7f4e, 0xf2b3, - 0x7f4d, 0xf2ad, 0x7f4d, 0xf2a6, 0x7f4c, 0xf2a0, 0x7f4b, 0xf29a, - 0x7f4b, 0xf294, 0x7f4a, 0xf28d, 0x7f49, 0xf287, 0x7f49, 0xf281, - 0x7f48, 0xf27b, 0x7f47, 0xf274, 0x7f47, 0xf26e, 0x7f46, 0xf268, - 0x7f45, 0xf262, 0x7f45, 0xf25b, 0x7f44, 0xf255, 0x7f43, 0xf24f, - 0x7f43, 0xf249, 0x7f42, 0xf242, 0x7f41, 0xf23c, 0x7f41, 0xf236, - 0x7f40, 0xf230, 0x7f3f, 0xf229, 0x7f3f, 0xf223, 0x7f3e, 0xf21d, - 0x7f3d, 0xf217, 0x7f3d, 0xf210, 0x7f3c, 0xf20a, 0x7f3b, 0xf204, - 0x7f3b, 0xf1fe, 0x7f3a, 0xf1f7, 0x7f39, 0xf1f1, 0x7f39, 0xf1eb, - 0x7f38, 0xf1e5, 0x7f37, 0xf1de, 0x7f36, 0xf1d8, 0x7f36, 0xf1d2, - 0x7f35, 0xf1cc, 0x7f34, 0xf1c6, 0x7f34, 0xf1bf, 0x7f33, 0xf1b9, - 0x7f32, 0xf1b3, 0x7f32, 0xf1ad, 0x7f31, 0xf1a6, 0x7f30, 0xf1a0, - 0x7f2f, 0xf19a, 0x7f2f, 0xf194, 0x7f2e, 0xf18d, 0x7f2d, 0xf187, - 0x7f2d, 0xf181, 0x7f2c, 0xf17b, 0x7f2b, 0xf174, 0x7f2a, 0xf16e, - 0x7f2a, 0xf168, 0x7f29, 0xf162, 0x7f28, 0xf15b, 0x7f28, 0xf155, - 0x7f27, 0xf14f, 0x7f26, 0xf149, 0x7f25, 0xf142, 0x7f25, 0xf13c, - 0x7f24, 0xf136, 0x7f23, 0xf130, 0x7f23, 0xf129, 0x7f22, 0xf123, - 0x7f21, 0xf11d, 0x7f20, 0xf117, 0x7f20, 0xf110, 0x7f1f, 0xf10a, - 0x7f1e, 0xf104, 0x7f1d, 0xf0fe, 0x7f1d, 0xf0f8, 0x7f1c, 0xf0f1, - 0x7f1b, 0xf0eb, 0x7f1a, 0xf0e5, 0x7f1a, 0xf0df, 0x7f19, 0xf0d8, - 0x7f18, 0xf0d2, 0x7f17, 0xf0cc, 0x7f17, 0xf0c6, 0x7f16, 0xf0bf, - 0x7f15, 0xf0b9, 0x7f14, 0xf0b3, 0x7f14, 0xf0ad, 0x7f13, 0xf0a6, - 0x7f12, 0xf0a0, 0x7f11, 0xf09a, 0x7f11, 0xf094, 0x7f10, 0xf08d, - 0x7f0f, 0xf087, 0x7f0e, 0xf081, 0x7f0e, 0xf07b, 0x7f0d, 0xf075, - 0x7f0c, 0xf06e, 0x7f0b, 0xf068, 0x7f0b, 0xf062, 0x7f0a, 0xf05c, - 0x7f09, 0xf055, 0x7f08, 0xf04f, 0x7f08, 0xf049, 0x7f07, 0xf043, - 0x7f06, 0xf03c, 0x7f05, 0xf036, 0x7f04, 0xf030, 0x7f04, 0xf02a, - 0x7f03, 0xf023, 0x7f02, 0xf01d, 0x7f01, 0xf017, 0x7f01, 0xf011, - 0x7f00, 0xf00b, 0x7eff, 0xf004, 0x7efe, 0xeffe, 0x7efd, 0xeff8, - 0x7efd, 0xeff2, 0x7efc, 0xefeb, 0x7efb, 0xefe5, 0x7efa, 0xefdf, - 0x7ef9, 0xefd9, 0x7ef9, 0xefd2, 0x7ef8, 0xefcc, 0x7ef7, 0xefc6, - 0x7ef6, 0xefc0, 0x7ef5, 0xefb9, 0x7ef5, 0xefb3, 0x7ef4, 0xefad, - 0x7ef3, 0xefa7, 0x7ef2, 0xefa1, 0x7ef1, 0xef9a, 0x7ef1, 0xef94, - 0x7ef0, 0xef8e, 0x7eef, 0xef88, 0x7eee, 0xef81, 0x7eed, 0xef7b, - 0x7eed, 0xef75, 0x7eec, 0xef6f, 0x7eeb, 0xef68, 0x7eea, 0xef62, - 0x7ee9, 0xef5c, 0x7ee9, 0xef56, 0x7ee8, 0xef50, 0x7ee7, 0xef49, - 0x7ee6, 0xef43, 0x7ee5, 0xef3d, 0x7ee4, 0xef37, 0x7ee4, 0xef30, - 0x7ee3, 0xef2a, 0x7ee2, 0xef24, 0x7ee1, 0xef1e, 0x7ee0, 0xef18, - 0x7edf, 0xef11, 0x7edf, 0xef0b, 0x7ede, 0xef05, 0x7edd, 0xeeff, - 0x7edc, 0xeef8, 0x7edb, 0xeef2, 0x7eda, 0xeeec, 0x7eda, 0xeee6, - 0x7ed9, 0xeedf, 0x7ed8, 0xeed9, 0x7ed7, 0xeed3, 0x7ed6, 0xeecd, - 0x7ed5, 0xeec7, 0x7ed5, 0xeec0, 0x7ed4, 0xeeba, 0x7ed3, 0xeeb4, - 0x7ed2, 0xeeae, 0x7ed1, 0xeea7, 0x7ed0, 0xeea1, 0x7ecf, 0xee9b, - 0x7ecf, 0xee95, 0x7ece, 0xee8f, 0x7ecd, 0xee88, 0x7ecc, 0xee82, - 0x7ecb, 0xee7c, 0x7eca, 0xee76, 0x7ec9, 0xee6f, 0x7ec9, 0xee69, - 0x7ec8, 0xee63, 0x7ec7, 0xee5d, 0x7ec6, 0xee57, 0x7ec5, 0xee50, - 0x7ec4, 0xee4a, 0x7ec3, 0xee44, 0x7ec3, 0xee3e, 0x7ec2, 0xee37, - 0x7ec1, 0xee31, 0x7ec0, 0xee2b, 0x7ebf, 0xee25, 0x7ebe, 0xee1f, - 0x7ebd, 0xee18, 0x7ebc, 0xee12, 0x7ebb, 0xee0c, 0x7ebb, 0xee06, - 0x7eba, 0xedff, 0x7eb9, 0xedf9, 0x7eb8, 0xedf3, 0x7eb7, 0xeded, - 0x7eb6, 0xede7, 0x7eb5, 0xede0, 0x7eb4, 0xedda, 0x7eb4, 0xedd4, - 0x7eb3, 0xedce, 0x7eb2, 0xedc7, 0x7eb1, 0xedc1, 0x7eb0, 0xedbb, - 0x7eaf, 0xedb5, 0x7eae, 0xedaf, 0x7ead, 0xeda8, 0x7eac, 0xeda2, - 0x7eab, 0xed9c, 0x7eab, 0xed96, 0x7eaa, 0xed8f, 0x7ea9, 0xed89, - 0x7ea8, 0xed83, 0x7ea7, 0xed7d, 0x7ea6, 0xed77, 0x7ea5, 0xed70, - 0x7ea4, 0xed6a, 0x7ea3, 0xed64, 0x7ea2, 0xed5e, 0x7ea1, 0xed58, - 0x7ea1, 0xed51, 0x7ea0, 0xed4b, 0x7e9f, 0xed45, 0x7e9e, 0xed3f, - 0x7e9d, 0xed38, 0x7e9c, 0xed32, 0x7e9b, 0xed2c, 0x7e9a, 0xed26, - 0x7e99, 0xed20, 0x7e98, 0xed19, 0x7e97, 0xed13, 0x7e96, 0xed0d, - 0x7e95, 0xed07, 0x7e94, 0xed01, 0x7e94, 0xecfa, 0x7e93, 0xecf4, - 0x7e92, 0xecee, 0x7e91, 0xece8, 0x7e90, 0xece1, 0x7e8f, 0xecdb, - 0x7e8e, 0xecd5, 0x7e8d, 0xeccf, 0x7e8c, 0xecc9, 0x7e8b, 0xecc2, - 0x7e8a, 0xecbc, 0x7e89, 0xecb6, 0x7e88, 0xecb0, 0x7e87, 0xecaa, - 0x7e86, 0xeca3, 0x7e85, 0xec9d, 0x7e84, 0xec97, 0x7e84, 0xec91, - 0x7e83, 0xec8a, 0x7e82, 0xec84, 0x7e81, 0xec7e, 0x7e80, 0xec78, - 0x7e7f, 0xec72, 0x7e7e, 0xec6b, 0x7e7d, 0xec65, 0x7e7c, 0xec5f, - 0x7e7b, 0xec59, 0x7e7a, 0xec53, 0x7e79, 0xec4c, 0x7e78, 0xec46, - 0x7e77, 0xec40, 0x7e76, 0xec3a, 0x7e75, 0xec34, 0x7e74, 0xec2d, - 0x7e73, 0xec27, 0x7e72, 0xec21, 0x7e71, 0xec1b, 0x7e70, 0xec15, - 0x7e6f, 0xec0e, 0x7e6e, 0xec08, 0x7e6d, 0xec02, 0x7e6c, 0xebfc, - 0x7e6b, 0xebf5, 0x7e6a, 0xebef, 0x7e69, 0xebe9, 0x7e68, 0xebe3, - 0x7e67, 0xebdd, 0x7e66, 0xebd6, 0x7e65, 0xebd0, 0x7e64, 0xebca, - 0x7e63, 0xebc4, 0x7e62, 0xebbe, 0x7e61, 0xebb7, 0x7e60, 0xebb1, - 0x7e5f, 0xebab, 0x7e5e, 0xeba5, 0x7e5d, 0xeb9f, 0x7e5c, 0xeb98, - 0x7e5b, 0xeb92, 0x7e5a, 0xeb8c, 0x7e59, 0xeb86, 0x7e58, 0xeb80, - 0x7e57, 0xeb79, 0x7e56, 0xeb73, 0x7e55, 0xeb6d, 0x7e54, 0xeb67, - 0x7e53, 0xeb61, 0x7e52, 0xeb5a, 0x7e51, 0xeb54, 0x7e50, 0xeb4e, - 0x7e4f, 0xeb48, 0x7e4e, 0xeb42, 0x7e4d, 0xeb3b, 0x7e4c, 0xeb35, - 0x7e4b, 0xeb2f, 0x7e4a, 0xeb29, 0x7e49, 0xeb23, 0x7e48, 0xeb1c, - 0x7e47, 0xeb16, 0x7e46, 0xeb10, 0x7e45, 0xeb0a, 0x7e44, 0xeb04, - 0x7e43, 0xeafd, 0x7e42, 0xeaf7, 0x7e41, 0xeaf1, 0x7e40, 0xeaeb, - 0x7e3f, 0xeae5, 0x7e3e, 0xeade, 0x7e3d, 0xead8, 0x7e3c, 0xead2, - 0x7e3b, 0xeacc, 0x7e3a, 0xeac6, 0x7e39, 0xeabf, 0x7e38, 0xeab9, - 0x7e37, 0xeab3, 0x7e35, 0xeaad, 0x7e34, 0xeaa7, 0x7e33, 0xeaa0, - 0x7e32, 0xea9a, 0x7e31, 0xea94, 0x7e30, 0xea8e, 0x7e2f, 0xea88, - 0x7e2e, 0xea81, 0x7e2d, 0xea7b, 0x7e2c, 0xea75, 0x7e2b, 0xea6f, - 0x7e2a, 0xea69, 0x7e29, 0xea63, 0x7e28, 0xea5c, 0x7e27, 0xea56, - 0x7e26, 0xea50, 0x7e25, 0xea4a, 0x7e24, 0xea44, 0x7e22, 0xea3d, - 0x7e21, 0xea37, 0x7e20, 0xea31, 0x7e1f, 0xea2b, 0x7e1e, 0xea25, - 0x7e1d, 0xea1e, 0x7e1c, 0xea18, 0x7e1b, 0xea12, 0x7e1a, 0xea0c, - 0x7e19, 0xea06, 0x7e18, 0xe9ff, 0x7e17, 0xe9f9, 0x7e16, 0xe9f3, - 0x7e14, 0xe9ed, 0x7e13, 0xe9e7, 0x7e12, 0xe9e1, 0x7e11, 0xe9da, - 0x7e10, 0xe9d4, 0x7e0f, 0xe9ce, 0x7e0e, 0xe9c8, 0x7e0d, 0xe9c2, - 0x7e0c, 0xe9bb, 0x7e0b, 0xe9b5, 0x7e0a, 0xe9af, 0x7e08, 0xe9a9, - 0x7e07, 0xe9a3, 0x7e06, 0xe99c, 0x7e05, 0xe996, 0x7e04, 0xe990, - 0x7e03, 0xe98a, 0x7e02, 0xe984, 0x7e01, 0xe97e, 0x7e00, 0xe977, - 0x7dff, 0xe971, 0x7dfd, 0xe96b, 0x7dfc, 0xe965, 0x7dfb, 0xe95f, - 0x7dfa, 0xe958, 0x7df9, 0xe952, 0x7df8, 0xe94c, 0x7df7, 0xe946, - 0x7df6, 0xe940, 0x7df5, 0xe93a, 0x7df3, 0xe933, 0x7df2, 0xe92d, - 0x7df1, 0xe927, 0x7df0, 0xe921, 0x7def, 0xe91b, 0x7dee, 0xe914, - 0x7ded, 0xe90e, 0x7dec, 0xe908, 0x7dea, 0xe902, 0x7de9, 0xe8fc, - 0x7de8, 0xe8f6, 0x7de7, 0xe8ef, 0x7de6, 0xe8e9, 0x7de5, 0xe8e3, - 0x7de4, 0xe8dd, 0x7de2, 0xe8d7, 0x7de1, 0xe8d0, 0x7de0, 0xe8ca, - 0x7ddf, 0xe8c4, 0x7dde, 0xe8be, 0x7ddd, 0xe8b8, 0x7ddc, 0xe8b2, - 0x7dda, 0xe8ab, 0x7dd9, 0xe8a5, 0x7dd8, 0xe89f, 0x7dd7, 0xe899, - 0x7dd6, 0xe893, 0x7dd5, 0xe88c, 0x7dd4, 0xe886, 0x7dd2, 0xe880, - 0x7dd1, 0xe87a, 0x7dd0, 0xe874, 0x7dcf, 0xe86e, 0x7dce, 0xe867, - 0x7dcd, 0xe861, 0x7dcc, 0xe85b, 0x7dca, 0xe855, 0x7dc9, 0xe84f, - 0x7dc8, 0xe849, 0x7dc7, 0xe842, 0x7dc6, 0xe83c, 0x7dc5, 0xe836, - 0x7dc3, 0xe830, 0x7dc2, 0xe82a, 0x7dc1, 0xe823, 0x7dc0, 0xe81d, - 0x7dbf, 0xe817, 0x7dbd, 0xe811, 0x7dbc, 0xe80b, 0x7dbb, 0xe805, - 0x7dba, 0xe7fe, 0x7db9, 0xe7f8, 0x7db8, 0xe7f2, 0x7db6, 0xe7ec, - 0x7db5, 0xe7e6, 0x7db4, 0xe7e0, 0x7db3, 0xe7d9, 0x7db2, 0xe7d3, - 0x7db0, 0xe7cd, 0x7daf, 0xe7c7, 0x7dae, 0xe7c1, 0x7dad, 0xe7bb, - 0x7dac, 0xe7b4, 0x7dab, 0xe7ae, 0x7da9, 0xe7a8, 0x7da8, 0xe7a2, - 0x7da7, 0xe79c, 0x7da6, 0xe796, 0x7da5, 0xe78f, 0x7da3, 0xe789, - 0x7da2, 0xe783, 0x7da1, 0xe77d, 0x7da0, 0xe777, 0x7d9f, 0xe771, - 0x7d9d, 0xe76a, 0x7d9c, 0xe764, 0x7d9b, 0xe75e, 0x7d9a, 0xe758, - 0x7d98, 0xe752, 0x7d97, 0xe74c, 0x7d96, 0xe745, 0x7d95, 0xe73f, - 0x7d94, 0xe739, 0x7d92, 0xe733, 0x7d91, 0xe72d, 0x7d90, 0xe727, - 0x7d8f, 0xe720, 0x7d8e, 0xe71a, 0x7d8c, 0xe714, 0x7d8b, 0xe70e, - 0x7d8a, 0xe708, 0x7d89, 0xe702, 0x7d87, 0xe6fb, 0x7d86, 0xe6f5, - 0x7d85, 0xe6ef, 0x7d84, 0xe6e9, 0x7d82, 0xe6e3, 0x7d81, 0xe6dd, - 0x7d80, 0xe6d6, 0x7d7f, 0xe6d0, 0x7d7e, 0xe6ca, 0x7d7c, 0xe6c4, - 0x7d7b, 0xe6be, 0x7d7a, 0xe6b8, 0x7d79, 0xe6b2, 0x7d77, 0xe6ab, - 0x7d76, 0xe6a5, 0x7d75, 0xe69f, 0x7d74, 0xe699, 0x7d72, 0xe693, - 0x7d71, 0xe68d, 0x7d70, 0xe686, 0x7d6f, 0xe680, 0x7d6d, 0xe67a, - 0x7d6c, 0xe674, 0x7d6b, 0xe66e, 0x7d6a, 0xe668, 0x7d68, 0xe661, - 0x7d67, 0xe65b, 0x7d66, 0xe655, 0x7d65, 0xe64f, 0x7d63, 0xe649, - 0x7d62, 0xe643, 0x7d61, 0xe63d, 0x7d60, 0xe636, 0x7d5e, 0xe630, - 0x7d5d, 0xe62a, 0x7d5c, 0xe624, 0x7d5a, 0xe61e, 0x7d59, 0xe618, - 0x7d58, 0xe611, 0x7d57, 0xe60b, 0x7d55, 0xe605, 0x7d54, 0xe5ff, - 0x7d53, 0xe5f9, 0x7d52, 0xe5f3, 0x7d50, 0xe5ed, 0x7d4f, 0xe5e6, - 0x7d4e, 0xe5e0, 0x7d4c, 0xe5da, 0x7d4b, 0xe5d4, 0x7d4a, 0xe5ce, - 0x7d49, 0xe5c8, 0x7d47, 0xe5c2, 0x7d46, 0xe5bb, 0x7d45, 0xe5b5, - 0x7d43, 0xe5af, 0x7d42, 0xe5a9, 0x7d41, 0xe5a3, 0x7d3f, 0xe59d, - 0x7d3e, 0xe596, 0x7d3d, 0xe590, 0x7d3c, 0xe58a, 0x7d3a, 0xe584, - 0x7d39, 0xe57e, 0x7d38, 0xe578, 0x7d36, 0xe572, 0x7d35, 0xe56b, - 0x7d34, 0xe565, 0x7d32, 0xe55f, 0x7d31, 0xe559, 0x7d30, 0xe553, - 0x7d2f, 0xe54d, 0x7d2d, 0xe547, 0x7d2c, 0xe540, 0x7d2b, 0xe53a, - 0x7d29, 0xe534, 0x7d28, 0xe52e, 0x7d27, 0xe528, 0x7d25, 0xe522, - 0x7d24, 0xe51c, 0x7d23, 0xe515, 0x7d21, 0xe50f, 0x7d20, 0xe509, - 0x7d1f, 0xe503, 0x7d1d, 0xe4fd, 0x7d1c, 0xe4f7, 0x7d1b, 0xe4f1, - 0x7d19, 0xe4ea, 0x7d18, 0xe4e4, 0x7d17, 0xe4de, 0x7d15, 0xe4d8, - 0x7d14, 0xe4d2, 0x7d13, 0xe4cc, 0x7d11, 0xe4c6, 0x7d10, 0xe4bf, - 0x7d0f, 0xe4b9, 0x7d0d, 0xe4b3, 0x7d0c, 0xe4ad, 0x7d0b, 0xe4a7, - 0x7d09, 0xe4a1, 0x7d08, 0xe49b, 0x7d07, 0xe494, 0x7d05, 0xe48e, - 0x7d04, 0xe488, 0x7d03, 0xe482, 0x7d01, 0xe47c, 0x7d00, 0xe476, - 0x7cff, 0xe470, 0x7cfd, 0xe46a, 0x7cfc, 0xe463, 0x7cfb, 0xe45d, - 0x7cf9, 0xe457, 0x7cf8, 0xe451, 0x7cf6, 0xe44b, 0x7cf5, 0xe445, - 0x7cf4, 0xe43f, 0x7cf2, 0xe438, 0x7cf1, 0xe432, 0x7cf0, 0xe42c, - 0x7cee, 0xe426, 0x7ced, 0xe420, 0x7cec, 0xe41a, 0x7cea, 0xe414, - 0x7ce9, 0xe40e, 0x7ce7, 0xe407, 0x7ce6, 0xe401, 0x7ce5, 0xe3fb, - 0x7ce3, 0xe3f5, 0x7ce2, 0xe3ef, 0x7ce1, 0xe3e9, 0x7cdf, 0xe3e3, - 0x7cde, 0xe3dc, 0x7cdc, 0xe3d6, 0x7cdb, 0xe3d0, 0x7cda, 0xe3ca, - 0x7cd8, 0xe3c4, 0x7cd7, 0xe3be, 0x7cd5, 0xe3b8, 0x7cd4, 0xe3b2, - 0x7cd3, 0xe3ab, 0x7cd1, 0xe3a5, 0x7cd0, 0xe39f, 0x7ccf, 0xe399, - 0x7ccd, 0xe393, 0x7ccc, 0xe38d, 0x7cca, 0xe387, 0x7cc9, 0xe381, - 0x7cc8, 0xe37a, 0x7cc6, 0xe374, 0x7cc5, 0xe36e, 0x7cc3, 0xe368, - 0x7cc2, 0xe362, 0x7cc1, 0xe35c, 0x7cbf, 0xe356, 0x7cbe, 0xe350, - 0x7cbc, 0xe349, 0x7cbb, 0xe343, 0x7cb9, 0xe33d, 0x7cb8, 0xe337, - 0x7cb7, 0xe331, 0x7cb5, 0xe32b, 0x7cb4, 0xe325, 0x7cb2, 0xe31f, - 0x7cb1, 0xe318, 0x7cb0, 0xe312, 0x7cae, 0xe30c, 0x7cad, 0xe306, - 0x7cab, 0xe300, 0x7caa, 0xe2fa, 0x7ca8, 0xe2f4, 0x7ca7, 0xe2ee, - 0x7ca6, 0xe2e8, 0x7ca4, 0xe2e1, 0x7ca3, 0xe2db, 0x7ca1, 0xe2d5, - 0x7ca0, 0xe2cf, 0x7c9e, 0xe2c9, 0x7c9d, 0xe2c3, 0x7c9c, 0xe2bd, - 0x7c9a, 0xe2b7, 0x7c99, 0xe2b0, 0x7c97, 0xe2aa, 0x7c96, 0xe2a4, - 0x7c94, 0xe29e, 0x7c93, 0xe298, 0x7c91, 0xe292, 0x7c90, 0xe28c, - 0x7c8f, 0xe286, 0x7c8d, 0xe280, 0x7c8c, 0xe279, 0x7c8a, 0xe273, - 0x7c89, 0xe26d, 0x7c87, 0xe267, 0x7c86, 0xe261, 0x7c84, 0xe25b, - 0x7c83, 0xe255, 0x7c82, 0xe24f, 0x7c80, 0xe249, 0x7c7f, 0xe242, - 0x7c7d, 0xe23c, 0x7c7c, 0xe236, 0x7c7a, 0xe230, 0x7c79, 0xe22a, - 0x7c77, 0xe224, 0x7c76, 0xe21e, 0x7c74, 0xe218, 0x7c73, 0xe212, - 0x7c71, 0xe20b, 0x7c70, 0xe205, 0x7c6e, 0xe1ff, 0x7c6d, 0xe1f9, - 0x7c6c, 0xe1f3, 0x7c6a, 0xe1ed, 0x7c69, 0xe1e7, 0x7c67, 0xe1e1, - 0x7c66, 0xe1db, 0x7c64, 0xe1d4, 0x7c63, 0xe1ce, 0x7c61, 0xe1c8, - 0x7c60, 0xe1c2, 0x7c5e, 0xe1bc, 0x7c5d, 0xe1b6, 0x7c5b, 0xe1b0, - 0x7c5a, 0xe1aa, 0x7c58, 0xe1a4, 0x7c57, 0xe19e, 0x7c55, 0xe197, - 0x7c54, 0xe191, 0x7c52, 0xe18b, 0x7c51, 0xe185, 0x7c4f, 0xe17f, - 0x7c4e, 0xe179, 0x7c4c, 0xe173, 0x7c4b, 0xe16d, 0x7c49, 0xe167, - 0x7c48, 0xe160, 0x7c46, 0xe15a, 0x7c45, 0xe154, 0x7c43, 0xe14e, - 0x7c42, 0xe148, 0x7c40, 0xe142, 0x7c3f, 0xe13c, 0x7c3d, 0xe136, - 0x7c3c, 0xe130, 0x7c3a, 0xe12a, 0x7c39, 0xe123, 0x7c37, 0xe11d, - 0x7c36, 0xe117, 0x7c34, 0xe111, 0x7c33, 0xe10b, 0x7c31, 0xe105, - 0x7c30, 0xe0ff, 0x7c2e, 0xe0f9, 0x7c2d, 0xe0f3, 0x7c2b, 0xe0ed, - 0x7c29, 0xe0e7, 0x7c28, 0xe0e0, 0x7c26, 0xe0da, 0x7c25, 0xe0d4, - 0x7c23, 0xe0ce, 0x7c22, 0xe0c8, 0x7c20, 0xe0c2, 0x7c1f, 0xe0bc, - 0x7c1d, 0xe0b6, 0x7c1c, 0xe0b0, 0x7c1a, 0xe0aa, 0x7c19, 0xe0a3, - 0x7c17, 0xe09d, 0x7c16, 0xe097, 0x7c14, 0xe091, 0x7c12, 0xe08b, - 0x7c11, 0xe085, 0x7c0f, 0xe07f, 0x7c0e, 0xe079, 0x7c0c, 0xe073, - 0x7c0b, 0xe06d, 0x7c09, 0xe067, 0x7c08, 0xe061, 0x7c06, 0xe05a, - 0x7c05, 0xe054, 0x7c03, 0xe04e, 0x7c01, 0xe048, 0x7c00, 0xe042, - 0x7bfe, 0xe03c, 0x7bfd, 0xe036, 0x7bfb, 0xe030, 0x7bfa, 0xe02a, - 0x7bf8, 0xe024, 0x7bf6, 0xe01e, 0x7bf5, 0xe017, 0x7bf3, 0xe011, - 0x7bf2, 0xe00b, 0x7bf0, 0xe005, 0x7bef, 0xdfff, 0x7bed, 0xdff9, - 0x7beb, 0xdff3, 0x7bea, 0xdfed, 0x7be8, 0xdfe7, 0x7be7, 0xdfe1, - 0x7be5, 0xdfdb, 0x7be4, 0xdfd5, 0x7be2, 0xdfce, 0x7be0, 0xdfc8, - 0x7bdf, 0xdfc2, 0x7bdd, 0xdfbc, 0x7bdc, 0xdfb6, 0x7bda, 0xdfb0, - 0x7bd9, 0xdfaa, 0x7bd7, 0xdfa4, 0x7bd5, 0xdf9e, 0x7bd4, 0xdf98, - 0x7bd2, 0xdf92, 0x7bd1, 0xdf8c, 0x7bcf, 0xdf86, 0x7bcd, 0xdf7f, - 0x7bcc, 0xdf79, 0x7bca, 0xdf73, 0x7bc9, 0xdf6d, 0x7bc7, 0xdf67, - 0x7bc5, 0xdf61, 0x7bc4, 0xdf5b, 0x7bc2, 0xdf55, 0x7bc1, 0xdf4f, - 0x7bbf, 0xdf49, 0x7bbd, 0xdf43, 0x7bbc, 0xdf3d, 0x7bba, 0xdf37, - 0x7bb9, 0xdf30, 0x7bb7, 0xdf2a, 0x7bb5, 0xdf24, 0x7bb4, 0xdf1e, - 0x7bb2, 0xdf18, 0x7bb0, 0xdf12, 0x7baf, 0xdf0c, 0x7bad, 0xdf06, - 0x7bac, 0xdf00, 0x7baa, 0xdefa, 0x7ba8, 0xdef4, 0x7ba7, 0xdeee, - 0x7ba5, 0xdee8, 0x7ba3, 0xdee2, 0x7ba2, 0xdedb, 0x7ba0, 0xded5, - 0x7b9f, 0xdecf, 0x7b9d, 0xdec9, 0x7b9b, 0xdec3, 0x7b9a, 0xdebd, - 0x7b98, 0xdeb7, 0x7b96, 0xdeb1, 0x7b95, 0xdeab, 0x7b93, 0xdea5, - 0x7b92, 0xde9f, 0x7b90, 0xde99, 0x7b8e, 0xde93, 0x7b8d, 0xde8d, - 0x7b8b, 0xde87, 0x7b89, 0xde80, 0x7b88, 0xde7a, 0x7b86, 0xde74, - 0x7b84, 0xde6e, 0x7b83, 0xde68, 0x7b81, 0xde62, 0x7b7f, 0xde5c, - 0x7b7e, 0xde56, 0x7b7c, 0xde50, 0x7b7a, 0xde4a, 0x7b79, 0xde44, - 0x7b77, 0xde3e, 0x7b76, 0xde38, 0x7b74, 0xde32, 0x7b72, 0xde2c, - 0x7b71, 0xde26, 0x7b6f, 0xde1f, 0x7b6d, 0xde19, 0x7b6c, 0xde13, - 0x7b6a, 0xde0d, 0x7b68, 0xde07, 0x7b67, 0xde01, 0x7b65, 0xddfb, - 0x7b63, 0xddf5, 0x7b62, 0xddef, 0x7b60, 0xdde9, 0x7b5e, 0xdde3, - 0x7b5d, 0xdddd, 0x7b5b, 0xddd7, 0x7b59, 0xddd1, 0x7b57, 0xddcb, - 0x7b56, 0xddc5, 0x7b54, 0xddbf, 0x7b52, 0xddb9, 0x7b51, 0xddb2, - 0x7b4f, 0xddac, 0x7b4d, 0xdda6, 0x7b4c, 0xdda0, 0x7b4a, 0xdd9a, - 0x7b48, 0xdd94, 0x7b47, 0xdd8e, 0x7b45, 0xdd88, 0x7b43, 0xdd82, - 0x7b42, 0xdd7c, 0x7b40, 0xdd76, 0x7b3e, 0xdd70, 0x7b3c, 0xdd6a, - 0x7b3b, 0xdd64, 0x7b39, 0xdd5e, 0x7b37, 0xdd58, 0x7b36, 0xdd52, - 0x7b34, 0xdd4c, 0x7b32, 0xdd46, 0x7b31, 0xdd40, 0x7b2f, 0xdd39, - 0x7b2d, 0xdd33, 0x7b2b, 0xdd2d, 0x7b2a, 0xdd27, 0x7b28, 0xdd21, - 0x7b26, 0xdd1b, 0x7b25, 0xdd15, 0x7b23, 0xdd0f, 0x7b21, 0xdd09, - 0x7b1f, 0xdd03, 0x7b1e, 0xdcfd, 0x7b1c, 0xdcf7, 0x7b1a, 0xdcf1, - 0x7b19, 0xdceb, 0x7b17, 0xdce5, 0x7b15, 0xdcdf, 0x7b13, 0xdcd9, - 0x7b12, 0xdcd3, 0x7b10, 0xdccd, 0x7b0e, 0xdcc7, 0x7b0c, 0xdcc1, - 0x7b0b, 0xdcbb, 0x7b09, 0xdcb5, 0x7b07, 0xdcae, 0x7b06, 0xdca8, - 0x7b04, 0xdca2, 0x7b02, 0xdc9c, 0x7b00, 0xdc96, 0x7aff, 0xdc90, - 0x7afd, 0xdc8a, 0x7afb, 0xdc84, 0x7af9, 0xdc7e, 0x7af8, 0xdc78, - 0x7af6, 0xdc72, 0x7af4, 0xdc6c, 0x7af2, 0xdc66, 0x7af1, 0xdc60, - 0x7aef, 0xdc5a, 0x7aed, 0xdc54, 0x7aeb, 0xdc4e, 0x7aea, 0xdc48, - 0x7ae8, 0xdc42, 0x7ae6, 0xdc3c, 0x7ae4, 0xdc36, 0x7ae3, 0xdc30, - 0x7ae1, 0xdc2a, 0x7adf, 0xdc24, 0x7add, 0xdc1e, 0x7adc, 0xdc18, - 0x7ada, 0xdc12, 0x7ad8, 0xdc0c, 0x7ad6, 0xdc06, 0x7ad5, 0xdbff, - 0x7ad3, 0xdbf9, 0x7ad1, 0xdbf3, 0x7acf, 0xdbed, 0x7acd, 0xdbe7, - 0x7acc, 0xdbe1, 0x7aca, 0xdbdb, 0x7ac8, 0xdbd5, 0x7ac6, 0xdbcf, - 0x7ac5, 0xdbc9, 0x7ac3, 0xdbc3, 0x7ac1, 0xdbbd, 0x7abf, 0xdbb7, - 0x7abd, 0xdbb1, 0x7abc, 0xdbab, 0x7aba, 0xdba5, 0x7ab8, 0xdb9f, - 0x7ab6, 0xdb99, 0x7ab5, 0xdb93, 0x7ab3, 0xdb8d, 0x7ab1, 0xdb87, - 0x7aaf, 0xdb81, 0x7aad, 0xdb7b, 0x7aac, 0xdb75, 0x7aaa, 0xdb6f, - 0x7aa8, 0xdb69, 0x7aa6, 0xdb63, 0x7aa4, 0xdb5d, 0x7aa3, 0xdb57, - 0x7aa1, 0xdb51, 0x7a9f, 0xdb4b, 0x7a9d, 0xdb45, 0x7a9b, 0xdb3f, - 0x7a9a, 0xdb39, 0x7a98, 0xdb33, 0x7a96, 0xdb2d, 0x7a94, 0xdb27, - 0x7a92, 0xdb21, 0x7a91, 0xdb1b, 0x7a8f, 0xdb15, 0x7a8d, 0xdb0f, - 0x7a8b, 0xdb09, 0x7a89, 0xdb03, 0x7a87, 0xdafd, 0x7a86, 0xdaf7, - 0x7a84, 0xdaf1, 0x7a82, 0xdaea, 0x7a80, 0xdae4, 0x7a7e, 0xdade, - 0x7a7d, 0xdad8, 0x7a7b, 0xdad2, 0x7a79, 0xdacc, 0x7a77, 0xdac6, - 0x7a75, 0xdac0, 0x7a73, 0xdaba, 0x7a72, 0xdab4, 0x7a70, 0xdaae, - 0x7a6e, 0xdaa8, 0x7a6c, 0xdaa2, 0x7a6a, 0xda9c, 0x7a68, 0xda96, - 0x7a67, 0xda90, 0x7a65, 0xda8a, 0x7a63, 0xda84, 0x7a61, 0xda7e, - 0x7a5f, 0xda78, 0x7a5d, 0xda72, 0x7a5c, 0xda6c, 0x7a5a, 0xda66, - 0x7a58, 0xda60, 0x7a56, 0xda5a, 0x7a54, 0xda54, 0x7a52, 0xda4e, - 0x7a50, 0xda48, 0x7a4f, 0xda42, 0x7a4d, 0xda3c, 0x7a4b, 0xda36, - 0x7a49, 0xda30, 0x7a47, 0xda2a, 0x7a45, 0xda24, 0x7a43, 0xda1e, - 0x7a42, 0xda18, 0x7a40, 0xda12, 0x7a3e, 0xda0c, 0x7a3c, 0xda06, - 0x7a3a, 0xda00, 0x7a38, 0xd9fa, 0x7a36, 0xd9f4, 0x7a35, 0xd9ee, - 0x7a33, 0xd9e8, 0x7a31, 0xd9e2, 0x7a2f, 0xd9dc, 0x7a2d, 0xd9d6, - 0x7a2b, 0xd9d0, 0x7a29, 0xd9ca, 0x7a27, 0xd9c4, 0x7a26, 0xd9be, - 0x7a24, 0xd9b8, 0x7a22, 0xd9b2, 0x7a20, 0xd9ac, 0x7a1e, 0xd9a6, - 0x7a1c, 0xd9a0, 0x7a1a, 0xd99a, 0x7a18, 0xd994, 0x7a16, 0xd98e, - 0x7a15, 0xd988, 0x7a13, 0xd982, 0x7a11, 0xd97c, 0x7a0f, 0xd976, - 0x7a0d, 0xd970, 0x7a0b, 0xd96a, 0x7a09, 0xd964, 0x7a07, 0xd95e, - 0x7a05, 0xd958, 0x7a04, 0xd952, 0x7a02, 0xd94c, 0x7a00, 0xd946, - 0x79fe, 0xd940, 0x79fc, 0xd93a, 0x79fa, 0xd934, 0x79f8, 0xd92e, - 0x79f6, 0xd928, 0x79f4, 0xd922, 0x79f2, 0xd91c, 0x79f0, 0xd917, - 0x79ef, 0xd911, 0x79ed, 0xd90b, 0x79eb, 0xd905, 0x79e9, 0xd8ff, - 0x79e7, 0xd8f9, 0x79e5, 0xd8f3, 0x79e3, 0xd8ed, 0x79e1, 0xd8e7, - 0x79df, 0xd8e1, 0x79dd, 0xd8db, 0x79db, 0xd8d5, 0x79d9, 0xd8cf, - 0x79d8, 0xd8c9, 0x79d6, 0xd8c3, 0x79d4, 0xd8bd, 0x79d2, 0xd8b7, - 0x79d0, 0xd8b1, 0x79ce, 0xd8ab, 0x79cc, 0xd8a5, 0x79ca, 0xd89f, - 0x79c8, 0xd899, 0x79c6, 0xd893, 0x79c4, 0xd88d, 0x79c2, 0xd887, - 0x79c0, 0xd881, 0x79be, 0xd87b, 0x79bc, 0xd875, 0x79bb, 0xd86f, - 0x79b9, 0xd869, 0x79b7, 0xd863, 0x79b5, 0xd85d, 0x79b3, 0xd857, - 0x79b1, 0xd851, 0x79af, 0xd84b, 0x79ad, 0xd845, 0x79ab, 0xd83f, - 0x79a9, 0xd839, 0x79a7, 0xd833, 0x79a5, 0xd82d, 0x79a3, 0xd827, - 0x79a1, 0xd821, 0x799f, 0xd81b, 0x799d, 0xd815, 0x799b, 0xd80f, - 0x7999, 0xd80a, 0x7997, 0xd804, 0x7995, 0xd7fe, 0x7993, 0xd7f8, - 0x7992, 0xd7f2, 0x7990, 0xd7ec, 0x798e, 0xd7e6, 0x798c, 0xd7e0, - 0x798a, 0xd7da, 0x7988, 0xd7d4, 0x7986, 0xd7ce, 0x7984, 0xd7c8, - 0x7982, 0xd7c2, 0x7980, 0xd7bc, 0x797e, 0xd7b6, 0x797c, 0xd7b0, - 0x797a, 0xd7aa, 0x7978, 0xd7a4, 0x7976, 0xd79e, 0x7974, 0xd798, - 0x7972, 0xd792, 0x7970, 0xd78c, 0x796e, 0xd786, 0x796c, 0xd780, - 0x796a, 0xd77a, 0x7968, 0xd774, 0x7966, 0xd76e, 0x7964, 0xd768, - 0x7962, 0xd763, 0x7960, 0xd75d, 0x795e, 0xd757, 0x795c, 0xd751, - 0x795a, 0xd74b, 0x7958, 0xd745, 0x7956, 0xd73f, 0x7954, 0xd739, - 0x7952, 0xd733, 0x7950, 0xd72d, 0x794e, 0xd727, 0x794c, 0xd721, - 0x794a, 0xd71b, 0x7948, 0xd715, 0x7946, 0xd70f, 0x7944, 0xd709, - 0x7942, 0xd703, 0x7940, 0xd6fd, 0x793e, 0xd6f7, 0x793c, 0xd6f1, - 0x793a, 0xd6eb, 0x7938, 0xd6e5, 0x7936, 0xd6e0, 0x7934, 0xd6da, - 0x7932, 0xd6d4, 0x7930, 0xd6ce, 0x792e, 0xd6c8, 0x792c, 0xd6c2, - 0x792a, 0xd6bc, 0x7928, 0xd6b6, 0x7926, 0xd6b0, 0x7924, 0xd6aa, - 0x7922, 0xd6a4, 0x7920, 0xd69e, 0x791e, 0xd698, 0x791c, 0xd692, - 0x7919, 0xd68c, 0x7917, 0xd686, 0x7915, 0xd680, 0x7913, 0xd67a, - 0x7911, 0xd675, 0x790f, 0xd66f, 0x790d, 0xd669, 0x790b, 0xd663, - 0x7909, 0xd65d, 0x7907, 0xd657, 0x7905, 0xd651, 0x7903, 0xd64b, - 0x7901, 0xd645, 0x78ff, 0xd63f, 0x78fd, 0xd639, 0x78fb, 0xd633, - 0x78f9, 0xd62d, 0x78f7, 0xd627, 0x78f5, 0xd621, 0x78f3, 0xd61b, - 0x78f1, 0xd615, 0x78ee, 0xd610, 0x78ec, 0xd60a, 0x78ea, 0xd604, - 0x78e8, 0xd5fe, 0x78e6, 0xd5f8, 0x78e4, 0xd5f2, 0x78e2, 0xd5ec, - 0x78e0, 0xd5e6, 0x78de, 0xd5e0, 0x78dc, 0xd5da, 0x78da, 0xd5d4, - 0x78d8, 0xd5ce, 0x78d6, 0xd5c8, 0x78d4, 0xd5c2, 0x78d2, 0xd5bc, - 0x78cf, 0xd5b7, 0x78cd, 0xd5b1, 0x78cb, 0xd5ab, 0x78c9, 0xd5a5, - 0x78c7, 0xd59f, 0x78c5, 0xd599, 0x78c3, 0xd593, 0x78c1, 0xd58d, - 0x78bf, 0xd587, 0x78bd, 0xd581, 0x78bb, 0xd57b, 0x78b9, 0xd575, - 0x78b6, 0xd56f, 0x78b4, 0xd569, 0x78b2, 0xd564, 0x78b0, 0xd55e, - 0x78ae, 0xd558, 0x78ac, 0xd552, 0x78aa, 0xd54c, 0x78a8, 0xd546, - 0x78a6, 0xd540, 0x78a4, 0xd53a, 0x78a2, 0xd534, 0x789f, 0xd52e, - 0x789d, 0xd528, 0x789b, 0xd522, 0x7899, 0xd51c, 0x7897, 0xd517, - 0x7895, 0xd511, 0x7893, 0xd50b, 0x7891, 0xd505, 0x788f, 0xd4ff, - 0x788c, 0xd4f9, 0x788a, 0xd4f3, 0x7888, 0xd4ed, 0x7886, 0xd4e7, - 0x7884, 0xd4e1, 0x7882, 0xd4db, 0x7880, 0xd4d5, 0x787e, 0xd4d0, - 0x787c, 0xd4ca, 0x7879, 0xd4c4, 0x7877, 0xd4be, 0x7875, 0xd4b8, - 0x7873, 0xd4b2, 0x7871, 0xd4ac, 0x786f, 0xd4a6, 0x786d, 0xd4a0, - 0x786b, 0xd49a, 0x7868, 0xd494, 0x7866, 0xd48f, 0x7864, 0xd489, - 0x7862, 0xd483, 0x7860, 0xd47d, 0x785e, 0xd477, 0x785c, 0xd471, - 0x7859, 0xd46b, 0x7857, 0xd465, 0x7855, 0xd45f, 0x7853, 0xd459, - 0x7851, 0xd453, 0x784f, 0xd44e, 0x784d, 0xd448, 0x784a, 0xd442, - 0x7848, 0xd43c, 0x7846, 0xd436, 0x7844, 0xd430, 0x7842, 0xd42a, - 0x7840, 0xd424, 0x783e, 0xd41e, 0x783b, 0xd418, 0x7839, 0xd412, - 0x7837, 0xd40d, 0x7835, 0xd407, 0x7833, 0xd401, 0x7831, 0xd3fb, - 0x782e, 0xd3f5, 0x782c, 0xd3ef, 0x782a, 0xd3e9, 0x7828, 0xd3e3, - 0x7826, 0xd3dd, 0x7824, 0xd3d7, 0x7821, 0xd3d2, 0x781f, 0xd3cc, - 0x781d, 0xd3c6, 0x781b, 0xd3c0, 0x7819, 0xd3ba, 0x7817, 0xd3b4, - 0x7814, 0xd3ae, 0x7812, 0xd3a8, 0x7810, 0xd3a2, 0x780e, 0xd39d, - 0x780c, 0xd397, 0x780a, 0xd391, 0x7807, 0xd38b, 0x7805, 0xd385, - 0x7803, 0xd37f, 0x7801, 0xd379, 0x77ff, 0xd373, 0x77fc, 0xd36d, - 0x77fa, 0xd368, 0x77f8, 0xd362, 0x77f6, 0xd35c, 0x77f4, 0xd356, - 0x77f1, 0xd350, 0x77ef, 0xd34a, 0x77ed, 0xd344, 0x77eb, 0xd33e, - 0x77e9, 0xd338, 0x77e6, 0xd333, 0x77e4, 0xd32d, 0x77e2, 0xd327, - 0x77e0, 0xd321, 0x77de, 0xd31b, 0x77db, 0xd315, 0x77d9, 0xd30f, - 0x77d7, 0xd309, 0x77d5, 0xd303, 0x77d3, 0xd2fe, 0x77d0, 0xd2f8, - 0x77ce, 0xd2f2, 0x77cc, 0xd2ec, 0x77ca, 0xd2e6, 0x77c8, 0xd2e0, - 0x77c5, 0xd2da, 0x77c3, 0xd2d4, 0x77c1, 0xd2cf, 0x77bf, 0xd2c9, - 0x77bc, 0xd2c3, 0x77ba, 0xd2bd, 0x77b8, 0xd2b7, 0x77b6, 0xd2b1, - 0x77b4, 0xd2ab, 0x77b1, 0xd2a5, 0x77af, 0xd2a0, 0x77ad, 0xd29a, - 0x77ab, 0xd294, 0x77a8, 0xd28e, 0x77a6, 0xd288, 0x77a4, 0xd282, - 0x77a2, 0xd27c, 0x77a0, 0xd276, 0x779d, 0xd271, 0x779b, 0xd26b, - 0x7799, 0xd265, 0x7797, 0xd25f, 0x7794, 0xd259, 0x7792, 0xd253, - 0x7790, 0xd24d, 0x778e, 0xd247, 0x778b, 0xd242, 0x7789, 0xd23c, - 0x7787, 0xd236, 0x7785, 0xd230, 0x7782, 0xd22a, 0x7780, 0xd224, - 0x777e, 0xd21e, 0x777c, 0xd219, 0x7779, 0xd213, 0x7777, 0xd20d, - 0x7775, 0xd207, 0x7773, 0xd201, 0x7770, 0xd1fb, 0x776e, 0xd1f5, - 0x776c, 0xd1ef, 0x776a, 0xd1ea, 0x7767, 0xd1e4, 0x7765, 0xd1de, - 0x7763, 0xd1d8, 0x7760, 0xd1d2, 0x775e, 0xd1cc, 0x775c, 0xd1c6, - 0x775a, 0xd1c1, 0x7757, 0xd1bb, 0x7755, 0xd1b5, 0x7753, 0xd1af, - 0x7751, 0xd1a9, 0x774e, 0xd1a3, 0x774c, 0xd19d, 0x774a, 0xd198, - 0x7747, 0xd192, 0x7745, 0xd18c, 0x7743, 0xd186, 0x7741, 0xd180, - 0x773e, 0xd17a, 0x773c, 0xd174, 0x773a, 0xd16f, 0x7738, 0xd169, - 0x7735, 0xd163, 0x7733, 0xd15d, 0x7731, 0xd157, 0x772e, 0xd151, - 0x772c, 0xd14b, 0x772a, 0xd146, 0x7727, 0xd140, 0x7725, 0xd13a, - 0x7723, 0xd134, 0x7721, 0xd12e, 0x771e, 0xd128, 0x771c, 0xd123, - 0x771a, 0xd11d, 0x7717, 0xd117, 0x7715, 0xd111, 0x7713, 0xd10b, - 0x7710, 0xd105, 0x770e, 0xd0ff, 0x770c, 0xd0fa, 0x770a, 0xd0f4, - 0x7707, 0xd0ee, 0x7705, 0xd0e8, 0x7703, 0xd0e2, 0x7700, 0xd0dc, - 0x76fe, 0xd0d7, 0x76fc, 0xd0d1, 0x76f9, 0xd0cb, 0x76f7, 0xd0c5, - 0x76f5, 0xd0bf, 0x76f2, 0xd0b9, 0x76f0, 0xd0b4, 0x76ee, 0xd0ae, - 0x76eb, 0xd0a8, 0x76e9, 0xd0a2, 0x76e7, 0xd09c, 0x76e4, 0xd096, - 0x76e2, 0xd091, 0x76e0, 0xd08b, 0x76dd, 0xd085, 0x76db, 0xd07f, - 0x76d9, 0xd079, 0x76d6, 0xd073, 0x76d4, 0xd06e, 0x76d2, 0xd068, - 0x76cf, 0xd062, 0x76cd, 0xd05c, 0x76cb, 0xd056, 0x76c8, 0xd050, - 0x76c6, 0xd04b, 0x76c4, 0xd045, 0x76c1, 0xd03f, 0x76bf, 0xd039, - 0x76bd, 0xd033, 0x76ba, 0xd02d, 0x76b8, 0xd028, 0x76b6, 0xd022, - 0x76b3, 0xd01c, 0x76b1, 0xd016, 0x76af, 0xd010, 0x76ac, 0xd00a, - 0x76aa, 0xd005, 0x76a8, 0xcfff, 0x76a5, 0xcff9, 0x76a3, 0xcff3, - 0x76a0, 0xcfed, 0x769e, 0xcfe7, 0x769c, 0xcfe2, 0x7699, 0xcfdc, - 0x7697, 0xcfd6, 0x7695, 0xcfd0, 0x7692, 0xcfca, 0x7690, 0xcfc5, - 0x768e, 0xcfbf, 0x768b, 0xcfb9, 0x7689, 0xcfb3, 0x7686, 0xcfad, - 0x7684, 0xcfa7, 0x7682, 0xcfa2, 0x767f, 0xcf9c, 0x767d, 0xcf96, - 0x767b, 0xcf90, 0x7678, 0xcf8a, 0x7676, 0xcf85, 0x7673, 0xcf7f, - 0x7671, 0xcf79, 0x766f, 0xcf73, 0x766c, 0xcf6d, 0x766a, 0xcf67, - 0x7668, 0xcf62, 0x7665, 0xcf5c, 0x7663, 0xcf56, 0x7660, 0xcf50, - 0x765e, 0xcf4a, 0x765c, 0xcf45, 0x7659, 0xcf3f, 0x7657, 0xcf39, - 0x7654, 0xcf33, 0x7652, 0xcf2d, 0x7650, 0xcf28, 0x764d, 0xcf22, - 0x764b, 0xcf1c, 0x7648, 0xcf16, 0x7646, 0xcf10, 0x7644, 0xcf0b, - 0x7641, 0xcf05, 0x763f, 0xceff, 0x763c, 0xcef9, 0x763a, 0xcef3, - 0x7638, 0xceee, 0x7635, 0xcee8, 0x7633, 0xcee2, 0x7630, 0xcedc, - 0x762e, 0xced6, 0x762b, 0xced1, 0x7629, 0xcecb, 0x7627, 0xcec5, - 0x7624, 0xcebf, 0x7622, 0xceb9, 0x761f, 0xceb4, 0x761d, 0xceae, - 0x761b, 0xcea8, 0x7618, 0xcea2, 0x7616, 0xce9c, 0x7613, 0xce97, - 0x7611, 0xce91, 0x760e, 0xce8b, 0x760c, 0xce85, 0x760a, 0xce7f, - 0x7607, 0xce7a, 0x7605, 0xce74, 0x7602, 0xce6e, 0x7600, 0xce68, - 0x75fd, 0xce62, 0x75fb, 0xce5d, 0x75f9, 0xce57, 0x75f6, 0xce51, - 0x75f4, 0xce4b, 0x75f1, 0xce45, 0x75ef, 0xce40, 0x75ec, 0xce3a, - 0x75ea, 0xce34, 0x75e7, 0xce2e, 0x75e5, 0xce28, 0x75e3, 0xce23, - 0x75e0, 0xce1d, 0x75de, 0xce17, 0x75db, 0xce11, 0x75d9, 0xce0c, - 0x75d6, 0xce06, 0x75d4, 0xce00, 0x75d1, 0xcdfa, 0x75cf, 0xcdf4, - 0x75cc, 0xcdef, 0x75ca, 0xcde9, 0x75c8, 0xcde3, 0x75c5, 0xcddd, - 0x75c3, 0xcdd8, 0x75c0, 0xcdd2, 0x75be, 0xcdcc, 0x75bb, 0xcdc6, - 0x75b9, 0xcdc0, 0x75b6, 0xcdbb, 0x75b4, 0xcdb5, 0x75b1, 0xcdaf, - 0x75af, 0xcda9, 0x75ac, 0xcda3, 0x75aa, 0xcd9e, 0x75a7, 0xcd98, - 0x75a5, 0xcd92, 0x75a3, 0xcd8c, 0x75a0, 0xcd87, 0x759e, 0xcd81, - 0x759b, 0xcd7b, 0x7599, 0xcd75, 0x7596, 0xcd70, 0x7594, 0xcd6a, - 0x7591, 0xcd64, 0x758f, 0xcd5e, 0x758c, 0xcd58, 0x758a, 0xcd53, - 0x7587, 0xcd4d, 0x7585, 0xcd47, 0x7582, 0xcd41, 0x7580, 0xcd3c, - 0x757d, 0xcd36, 0x757b, 0xcd30, 0x7578, 0xcd2a, 0x7576, 0xcd25, - 0x7573, 0xcd1f, 0x7571, 0xcd19, 0x756e, 0xcd13, 0x756c, 0xcd0d, - 0x7569, 0xcd08, 0x7567, 0xcd02, 0x7564, 0xccfc, 0x7562, 0xccf6, - 0x755f, 0xccf1, 0x755d, 0xcceb, 0x755a, 0xcce5, 0x7558, 0xccdf, - 0x7555, 0xccda, 0x7553, 0xccd4, 0x7550, 0xccce, 0x754e, 0xccc8, - 0x754b, 0xccc3, 0x7549, 0xccbd, 0x7546, 0xccb7, 0x7544, 0xccb1, - 0x7541, 0xccac, 0x753f, 0xcca6, 0x753c, 0xcca0, 0x753a, 0xcc9a, - 0x7537, 0xcc95, 0x7535, 0xcc8f, 0x7532, 0xcc89, 0x752f, 0xcc83, - 0x752d, 0xcc7e, 0x752a, 0xcc78, 0x7528, 0xcc72, 0x7525, 0xcc6c, - 0x7523, 0xcc67, 0x7520, 0xcc61, 0x751e, 0xcc5b, 0x751b, 0xcc55, - 0x7519, 0xcc50, 0x7516, 0xcc4a, 0x7514, 0xcc44, 0x7511, 0xcc3e, - 0x750f, 0xcc39, 0x750c, 0xcc33, 0x7509, 0xcc2d, 0x7507, 0xcc27, - 0x7504, 0xcc22, 0x7502, 0xcc1c, 0x74ff, 0xcc16, 0x74fd, 0xcc10, - 0x74fa, 0xcc0b, 0x74f8, 0xcc05, 0x74f5, 0xcbff, 0x74f2, 0xcbf9, - 0x74f0, 0xcbf4, 0x74ed, 0xcbee, 0x74eb, 0xcbe8, 0x74e8, 0xcbe2, - 0x74e6, 0xcbdd, 0x74e3, 0xcbd7, 0x74e1, 0xcbd1, 0x74de, 0xcbcb, - 0x74db, 0xcbc6, 0x74d9, 0xcbc0, 0x74d6, 0xcbba, 0x74d4, 0xcbb5, - 0x74d1, 0xcbaf, 0x74cf, 0xcba9, 0x74cc, 0xcba3, 0x74c9, 0xcb9e, - 0x74c7, 0xcb98, 0x74c4, 0xcb92, 0x74c2, 0xcb8c, 0x74bf, 0xcb87, - 0x74bd, 0xcb81, 0x74ba, 0xcb7b, 0x74b7, 0xcb75, 0x74b5, 0xcb70, - 0x74b2, 0xcb6a, 0x74b0, 0xcb64, 0x74ad, 0xcb5f, 0x74ab, 0xcb59, - 0x74a8, 0xcb53, 0x74a5, 0xcb4d, 0x74a3, 0xcb48, 0x74a0, 0xcb42, - 0x749e, 0xcb3c, 0x749b, 0xcb36, 0x7498, 0xcb31, 0x7496, 0xcb2b, - 0x7493, 0xcb25, 0x7491, 0xcb20, 0x748e, 0xcb1a, 0x748b, 0xcb14, - 0x7489, 0xcb0e, 0x7486, 0xcb09, 0x7484, 0xcb03, 0x7481, 0xcafd, - 0x747e, 0xcaf8, 0x747c, 0xcaf2, 0x7479, 0xcaec, 0x7477, 0xcae6, - 0x7474, 0xcae1, 0x7471, 0xcadb, 0x746f, 0xcad5, 0x746c, 0xcad0, - 0x746a, 0xcaca, 0x7467, 0xcac4, 0x7464, 0xcabe, 0x7462, 0xcab9, - 0x745f, 0xcab3, 0x745c, 0xcaad, 0x745a, 0xcaa8, 0x7457, 0xcaa2, - 0x7455, 0xca9c, 0x7452, 0xca96, 0x744f, 0xca91, 0x744d, 0xca8b, - 0x744a, 0xca85, 0x7448, 0xca80, 0x7445, 0xca7a, 0x7442, 0xca74, - 0x7440, 0xca6e, 0x743d, 0xca69, 0x743a, 0xca63, 0x7438, 0xca5d, - 0x7435, 0xca58, 0x7432, 0xca52, 0x7430, 0xca4c, 0x742d, 0xca46, - 0x742b, 0xca41, 0x7428, 0xca3b, 0x7425, 0xca35, 0x7423, 0xca30, - 0x7420, 0xca2a, 0x741d, 0xca24, 0x741b, 0xca1f, 0x7418, 0xca19, - 0x7415, 0xca13, 0x7413, 0xca0d, 0x7410, 0xca08, 0x740d, 0xca02, - 0x740b, 0xc9fc, 0x7408, 0xc9f7, 0x7406, 0xc9f1, 0x7403, 0xc9eb, - 0x7400, 0xc9e6, 0x73fe, 0xc9e0, 0x73fb, 0xc9da, 0x73f8, 0xc9d5, - 0x73f6, 0xc9cf, 0x73f3, 0xc9c9, 0x73f0, 0xc9c3, 0x73ee, 0xc9be, - 0x73eb, 0xc9b8, 0x73e8, 0xc9b2, 0x73e6, 0xc9ad, 0x73e3, 0xc9a7, - 0x73e0, 0xc9a1, 0x73de, 0xc99c, 0x73db, 0xc996, 0x73d8, 0xc990, - 0x73d6, 0xc98b, 0x73d3, 0xc985, 0x73d0, 0xc97f, 0x73ce, 0xc97a, - 0x73cb, 0xc974, 0x73c8, 0xc96e, 0x73c6, 0xc968, 0x73c3, 0xc963, - 0x73c0, 0xc95d, 0x73bd, 0xc957, 0x73bb, 0xc952, 0x73b8, 0xc94c, - 0x73b5, 0xc946, 0x73b3, 0xc941, 0x73b0, 0xc93b, 0x73ad, 0xc935, - 0x73ab, 0xc930, 0x73a8, 0xc92a, 0x73a5, 0xc924, 0x73a3, 0xc91f, - 0x73a0, 0xc919, 0x739d, 0xc913, 0x739b, 0xc90e, 0x7398, 0xc908, - 0x7395, 0xc902, 0x7392, 0xc8fd, 0x7390, 0xc8f7, 0x738d, 0xc8f1, - 0x738a, 0xc8ec, 0x7388, 0xc8e6, 0x7385, 0xc8e0, 0x7382, 0xc8db, - 0x737f, 0xc8d5, 0x737d, 0xc8cf, 0x737a, 0xc8ca, 0x7377, 0xc8c4, - 0x7375, 0xc8be, 0x7372, 0xc8b9, 0x736f, 0xc8b3, 0x736c, 0xc8ad, - 0x736a, 0xc8a8, 0x7367, 0xc8a2, 0x7364, 0xc89c, 0x7362, 0xc897, - 0x735f, 0xc891, 0x735c, 0xc88b, 0x7359, 0xc886, 0x7357, 0xc880, - 0x7354, 0xc87a, 0x7351, 0xc875, 0x734f, 0xc86f, 0x734c, 0xc869, - 0x7349, 0xc864, 0x7346, 0xc85e, 0x7344, 0xc858, 0x7341, 0xc853, - 0x733e, 0xc84d, 0x733b, 0xc847, 0x7339, 0xc842, 0x7336, 0xc83c, - 0x7333, 0xc836, 0x7330, 0xc831, 0x732e, 0xc82b, 0x732b, 0xc825, - 0x7328, 0xc820, 0x7326, 0xc81a, 0x7323, 0xc814, 0x7320, 0xc80f, - 0x731d, 0xc809, 0x731b, 0xc803, 0x7318, 0xc7fe, 0x7315, 0xc7f8, - 0x7312, 0xc7f3, 0x7310, 0xc7ed, 0x730d, 0xc7e7, 0x730a, 0xc7e2, - 0x7307, 0xc7dc, 0x7305, 0xc7d6, 0x7302, 0xc7d1, 0x72ff, 0xc7cb, - 0x72fc, 0xc7c5, 0x72f9, 0xc7c0, 0x72f7, 0xc7ba, 0x72f4, 0xc7b4, - 0x72f1, 0xc7af, 0x72ee, 0xc7a9, 0x72ec, 0xc7a3, 0x72e9, 0xc79e, - 0x72e6, 0xc798, 0x72e3, 0xc793, 0x72e1, 0xc78d, 0x72de, 0xc787, - 0x72db, 0xc782, 0x72d8, 0xc77c, 0x72d5, 0xc776, 0x72d3, 0xc771, - 0x72d0, 0xc76b, 0x72cd, 0xc765, 0x72ca, 0xc760, 0x72c8, 0xc75a, - 0x72c5, 0xc755, 0x72c2, 0xc74f, 0x72bf, 0xc749, 0x72bc, 0xc744, - 0x72ba, 0xc73e, 0x72b7, 0xc738, 0x72b4, 0xc733, 0x72b1, 0xc72d, - 0x72af, 0xc728, 0x72ac, 0xc722, 0x72a9, 0xc71c, 0x72a6, 0xc717, - 0x72a3, 0xc711, 0x72a1, 0xc70b, 0x729e, 0xc706, 0x729b, 0xc700, - 0x7298, 0xc6fa, 0x7295, 0xc6f5, 0x7293, 0xc6ef, 0x7290, 0xc6ea, - 0x728d, 0xc6e4, 0x728a, 0xc6de, 0x7287, 0xc6d9, 0x7285, 0xc6d3, - 0x7282, 0xc6ce, 0x727f, 0xc6c8, 0x727c, 0xc6c2, 0x7279, 0xc6bd, - 0x7276, 0xc6b7, 0x7274, 0xc6b1, 0x7271, 0xc6ac, 0x726e, 0xc6a6, - 0x726b, 0xc6a1, 0x7268, 0xc69b, 0x7266, 0xc695, 0x7263, 0xc690, - 0x7260, 0xc68a, 0x725d, 0xc684, 0x725a, 0xc67f, 0x7257, 0xc679, - 0x7255, 0xc674, 0x7252, 0xc66e, 0x724f, 0xc668, 0x724c, 0xc663, - 0x7249, 0xc65d, 0x7247, 0xc658, 0x7244, 0xc652, 0x7241, 0xc64c, - 0x723e, 0xc647, 0x723b, 0xc641, 0x7238, 0xc63c, 0x7236, 0xc636, - 0x7233, 0xc630, 0x7230, 0xc62b, 0x722d, 0xc625, 0x722a, 0xc620, - 0x7227, 0xc61a, 0x7224, 0xc614, 0x7222, 0xc60f, 0x721f, 0xc609, - 0x721c, 0xc603, 0x7219, 0xc5fe, 0x7216, 0xc5f8, 0x7213, 0xc5f3, - 0x7211, 0xc5ed, 0x720e, 0xc5e7, 0x720b, 0xc5e2, 0x7208, 0xc5dc, - 0x7205, 0xc5d7, 0x7202, 0xc5d1, 0x71ff, 0xc5cc, 0x71fd, 0xc5c6, - 0x71fa, 0xc5c0, 0x71f7, 0xc5bb, 0x71f4, 0xc5b5, 0x71f1, 0xc5b0, - 0x71ee, 0xc5aa, 0x71eb, 0xc5a4, 0x71e9, 0xc59f, 0x71e6, 0xc599, - 0x71e3, 0xc594, 0x71e0, 0xc58e, 0x71dd, 0xc588, 0x71da, 0xc583, - 0x71d7, 0xc57d, 0x71d4, 0xc578, 0x71d2, 0xc572, 0x71cf, 0xc56c, - 0x71cc, 0xc567, 0x71c9, 0xc561, 0x71c6, 0xc55c, 0x71c3, 0xc556, - 0x71c0, 0xc551, 0x71bd, 0xc54b, 0x71bb, 0xc545, 0x71b8, 0xc540, - 0x71b5, 0xc53a, 0x71b2, 0xc535, 0x71af, 0xc52f, 0x71ac, 0xc529, - 0x71a9, 0xc524, 0x71a6, 0xc51e, 0x71a3, 0xc519, 0x71a1, 0xc513, - 0x719e, 0xc50e, 0x719b, 0xc508, 0x7198, 0xc502, 0x7195, 0xc4fd, - 0x7192, 0xc4f7, 0x718f, 0xc4f2, 0x718c, 0xc4ec, 0x7189, 0xc4e7, - 0x7186, 0xc4e1, 0x7184, 0xc4db, 0x7181, 0xc4d6, 0x717e, 0xc4d0, - 0x717b, 0xc4cb, 0x7178, 0xc4c5, 0x7175, 0xc4c0, 0x7172, 0xc4ba, - 0x716f, 0xc4b4, 0x716c, 0xc4af, 0x7169, 0xc4a9, 0x7167, 0xc4a4, - 0x7164, 0xc49e, 0x7161, 0xc499, 0x715e, 0xc493, 0x715b, 0xc48d, - 0x7158, 0xc488, 0x7155, 0xc482, 0x7152, 0xc47d, 0x714f, 0xc477, - 0x714c, 0xc472, 0x7149, 0xc46c, 0x7146, 0xc467, 0x7143, 0xc461, - 0x7141, 0xc45b, 0x713e, 0xc456, 0x713b, 0xc450, 0x7138, 0xc44b, - 0x7135, 0xc445, 0x7132, 0xc440, 0x712f, 0xc43a, 0x712c, 0xc434, - 0x7129, 0xc42f, 0x7126, 0xc429, 0x7123, 0xc424, 0x7120, 0xc41e, - 0x711d, 0xc419, 0x711a, 0xc413, 0x7117, 0xc40e, 0x7114, 0xc408, - 0x7112, 0xc403, 0x710f, 0xc3fd, 0x710c, 0xc3f7, 0x7109, 0xc3f2, - 0x7106, 0xc3ec, 0x7103, 0xc3e7, 0x7100, 0xc3e1, 0x70fd, 0xc3dc, - 0x70fa, 0xc3d6, 0x70f7, 0xc3d1, 0x70f4, 0xc3cb, 0x70f1, 0xc3c5, - 0x70ee, 0xc3c0, 0x70eb, 0xc3ba, 0x70e8, 0xc3b5, 0x70e5, 0xc3af, - 0x70e2, 0xc3aa, 0x70df, 0xc3a4, 0x70dc, 0xc39f, 0x70d9, 0xc399, - 0x70d6, 0xc394, 0x70d3, 0xc38e, 0x70d1, 0xc389, 0x70ce, 0xc383, - 0x70cb, 0xc37d, 0x70c8, 0xc378, 0x70c5, 0xc372, 0x70c2, 0xc36d, - 0x70bf, 0xc367, 0x70bc, 0xc362, 0x70b9, 0xc35c, 0x70b6, 0xc357, - 0x70b3, 0xc351, 0x70b0, 0xc34c, 0x70ad, 0xc346, 0x70aa, 0xc341, - 0x70a7, 0xc33b, 0x70a4, 0xc336, 0x70a1, 0xc330, 0x709e, 0xc32a, - 0x709b, 0xc325, 0x7098, 0xc31f, 0x7095, 0xc31a, 0x7092, 0xc314, - 0x708f, 0xc30f, 0x708c, 0xc309, 0x7089, 0xc304, 0x7086, 0xc2fe, - 0x7083, 0xc2f9, 0x7080, 0xc2f3, 0x707d, 0xc2ee, 0x707a, 0xc2e8, - 0x7077, 0xc2e3, 0x7074, 0xc2dd, 0x7071, 0xc2d8, 0x706e, 0xc2d2, - 0x706b, 0xc2cd, 0x7068, 0xc2c7, 0x7065, 0xc2c2, 0x7062, 0xc2bc, - 0x705f, 0xc2b7, 0x705c, 0xc2b1, 0x7059, 0xc2ab, 0x7056, 0xc2a6, - 0x7053, 0xc2a0, 0x7050, 0xc29b, 0x704d, 0xc295, 0x704a, 0xc290, - 0x7047, 0xc28a, 0x7044, 0xc285, 0x7041, 0xc27f, 0x703e, 0xc27a, - 0x703b, 0xc274, 0x7038, 0xc26f, 0x7035, 0xc269, 0x7032, 0xc264, - 0x702f, 0xc25e, 0x702c, 0xc259, 0x7029, 0xc253, 0x7026, 0xc24e, - 0x7023, 0xc248, 0x7020, 0xc243, 0x701d, 0xc23d, 0x7019, 0xc238, - 0x7016, 0xc232, 0x7013, 0xc22d, 0x7010, 0xc227, 0x700d, 0xc222, - 0x700a, 0xc21c, 0x7007, 0xc217, 0x7004, 0xc211, 0x7001, 0xc20c, - 0x6ffe, 0xc206, 0x6ffb, 0xc201, 0x6ff8, 0xc1fb, 0x6ff5, 0xc1f6, - 0x6ff2, 0xc1f0, 0x6fef, 0xc1eb, 0x6fec, 0xc1e5, 0x6fe9, 0xc1e0, - 0x6fe6, 0xc1da, 0x6fe3, 0xc1d5, 0x6fe0, 0xc1cf, 0x6fdd, 0xc1ca, - 0x6fda, 0xc1c4, 0x6fd6, 0xc1bf, 0x6fd3, 0xc1b9, 0x6fd0, 0xc1b4, - 0x6fcd, 0xc1ae, 0x6fca, 0xc1a9, 0x6fc7, 0xc1a3, 0x6fc4, 0xc19e, - 0x6fc1, 0xc198, 0x6fbe, 0xc193, 0x6fbb, 0xc18d, 0x6fb8, 0xc188, - 0x6fb5, 0xc183, 0x6fb2, 0xc17d, 0x6faf, 0xc178, 0x6fac, 0xc172, - 0x6fa9, 0xc16d, 0x6fa5, 0xc167, 0x6fa2, 0xc162, 0x6f9f, 0xc15c, - 0x6f9c, 0xc157, 0x6f99, 0xc151, 0x6f96, 0xc14c, 0x6f93, 0xc146, - 0x6f90, 0xc141, 0x6f8d, 0xc13b, 0x6f8a, 0xc136, 0x6f87, 0xc130, - 0x6f84, 0xc12b, 0x6f81, 0xc125, 0x6f7d, 0xc120, 0x6f7a, 0xc11a, - 0x6f77, 0xc115, 0x6f74, 0xc10f, 0x6f71, 0xc10a, 0x6f6e, 0xc105, - 0x6f6b, 0xc0ff, 0x6f68, 0xc0fa, 0x6f65, 0xc0f4, 0x6f62, 0xc0ef, - 0x6f5f, 0xc0e9, 0x6f5b, 0xc0e4, 0x6f58, 0xc0de, 0x6f55, 0xc0d9, - 0x6f52, 0xc0d3, 0x6f4f, 0xc0ce, 0x6f4c, 0xc0c8, 0x6f49, 0xc0c3, - 0x6f46, 0xc0bd, 0x6f43, 0xc0b8, 0x6f3f, 0xc0b3, 0x6f3c, 0xc0ad, - 0x6f39, 0xc0a8, 0x6f36, 0xc0a2, 0x6f33, 0xc09d, 0x6f30, 0xc097, - 0x6f2d, 0xc092, 0x6f2a, 0xc08c, 0x6f27, 0xc087, 0x6f23, 0xc081, - 0x6f20, 0xc07c, 0x6f1d, 0xc077, 0x6f1a, 0xc071, 0x6f17, 0xc06c, - 0x6f14, 0xc066, 0x6f11, 0xc061, 0x6f0e, 0xc05b, 0x6f0b, 0xc056, - 0x6f07, 0xc050, 0x6f04, 0xc04b, 0x6f01, 0xc045, 0x6efe, 0xc040, - 0x6efb, 0xc03b, 0x6ef8, 0xc035, 0x6ef5, 0xc030, 0x6ef1, 0xc02a, - 0x6eee, 0xc025, 0x6eeb, 0xc01f, 0x6ee8, 0xc01a, 0x6ee5, 0xc014, - 0x6ee2, 0xc00f, 0x6edf, 0xc00a, 0x6edc, 0xc004, 0x6ed8, 0xbfff, - 0x6ed5, 0xbff9, 0x6ed2, 0xbff4, 0x6ecf, 0xbfee, 0x6ecc, 0xbfe9, - 0x6ec9, 0xbfe3, 0x6ec6, 0xbfde, 0x6ec2, 0xbfd9, 0x6ebf, 0xbfd3, - 0x6ebc, 0xbfce, 0x6eb9, 0xbfc8, 0x6eb6, 0xbfc3, 0x6eb3, 0xbfbd, - 0x6eaf, 0xbfb8, 0x6eac, 0xbfb3, 0x6ea9, 0xbfad, 0x6ea6, 0xbfa8, - 0x6ea3, 0xbfa2, 0x6ea0, 0xbf9d, 0x6e9c, 0xbf97, 0x6e99, 0xbf92, - 0x6e96, 0xbf8d, 0x6e93, 0xbf87, 0x6e90, 0xbf82, 0x6e8d, 0xbf7c, - 0x6e89, 0xbf77, 0x6e86, 0xbf71, 0x6e83, 0xbf6c, 0x6e80, 0xbf67, - 0x6e7d, 0xbf61, 0x6e7a, 0xbf5c, 0x6e76, 0xbf56, 0x6e73, 0xbf51, - 0x6e70, 0xbf4b, 0x6e6d, 0xbf46, 0x6e6a, 0xbf41, 0x6e67, 0xbf3b, - 0x6e63, 0xbf36, 0x6e60, 0xbf30, 0x6e5d, 0xbf2b, 0x6e5a, 0xbf26, - 0x6e57, 0xbf20, 0x6e53, 0xbf1b, 0x6e50, 0xbf15, 0x6e4d, 0xbf10, - 0x6e4a, 0xbf0a, 0x6e47, 0xbf05, 0x6e44, 0xbf00, 0x6e40, 0xbefa, - 0x6e3d, 0xbef5, 0x6e3a, 0xbeef, 0x6e37, 0xbeea, 0x6e34, 0xbee5, - 0x6e30, 0xbedf, 0x6e2d, 0xbeda, 0x6e2a, 0xbed4, 0x6e27, 0xbecf, - 0x6e24, 0xbeca, 0x6e20, 0xbec4, 0x6e1d, 0xbebf, 0x6e1a, 0xbeb9, - 0x6e17, 0xbeb4, 0x6e14, 0xbeae, 0x6e10, 0xbea9, 0x6e0d, 0xbea4, - 0x6e0a, 0xbe9e, 0x6e07, 0xbe99, 0x6e04, 0xbe93, 0x6e00, 0xbe8e, - 0x6dfd, 0xbe89, 0x6dfa, 0xbe83, 0x6df7, 0xbe7e, 0x6df3, 0xbe78, - 0x6df0, 0xbe73, 0x6ded, 0xbe6e, 0x6dea, 0xbe68, 0x6de7, 0xbe63, - 0x6de3, 0xbe5e, 0x6de0, 0xbe58, 0x6ddd, 0xbe53, 0x6dda, 0xbe4d, - 0x6dd6, 0xbe48, 0x6dd3, 0xbe43, 0x6dd0, 0xbe3d, 0x6dcd, 0xbe38, - 0x6dca, 0xbe32, 0x6dc6, 0xbe2d, 0x6dc3, 0xbe28, 0x6dc0, 0xbe22, - 0x6dbd, 0xbe1d, 0x6db9, 0xbe17, 0x6db6, 0xbe12, 0x6db3, 0xbe0d, - 0x6db0, 0xbe07, 0x6dac, 0xbe02, 0x6da9, 0xbdfd, 0x6da6, 0xbdf7, - 0x6da3, 0xbdf2, 0x6d9f, 0xbdec, 0x6d9c, 0xbde7, 0x6d99, 0xbde2, - 0x6d96, 0xbddc, 0x6d92, 0xbdd7, 0x6d8f, 0xbdd1, 0x6d8c, 0xbdcc, - 0x6d89, 0xbdc7, 0x6d85, 0xbdc1, 0x6d82, 0xbdbc, 0x6d7f, 0xbdb7, - 0x6d7c, 0xbdb1, 0x6d78, 0xbdac, 0x6d75, 0xbda6, 0x6d72, 0xbda1, - 0x6d6f, 0xbd9c, 0x6d6b, 0xbd96, 0x6d68, 0xbd91, 0x6d65, 0xbd8c, - 0x6d62, 0xbd86, 0x6d5e, 0xbd81, 0x6d5b, 0xbd7c, 0x6d58, 0xbd76, - 0x6d55, 0xbd71, 0x6d51, 0xbd6b, 0x6d4e, 0xbd66, 0x6d4b, 0xbd61, - 0x6d48, 0xbd5b, 0x6d44, 0xbd56, 0x6d41, 0xbd51, 0x6d3e, 0xbd4b, - 0x6d3a, 0xbd46, 0x6d37, 0xbd40, 0x6d34, 0xbd3b, 0x6d31, 0xbd36, - 0x6d2d, 0xbd30, 0x6d2a, 0xbd2b, 0x6d27, 0xbd26, 0x6d23, 0xbd20, - 0x6d20, 0xbd1b, 0x6d1d, 0xbd16, 0x6d1a, 0xbd10, 0x6d16, 0xbd0b, - 0x6d13, 0xbd06, 0x6d10, 0xbd00, 0x6d0c, 0xbcfb, 0x6d09, 0xbcf5, - 0x6d06, 0xbcf0, 0x6d03, 0xbceb, 0x6cff, 0xbce5, 0x6cfc, 0xbce0, - 0x6cf9, 0xbcdb, 0x6cf5, 0xbcd5, 0x6cf2, 0xbcd0, 0x6cef, 0xbccb, - 0x6cec, 0xbcc5, 0x6ce8, 0xbcc0, 0x6ce5, 0xbcbb, 0x6ce2, 0xbcb5, - 0x6cde, 0xbcb0, 0x6cdb, 0xbcab, 0x6cd8, 0xbca5, 0x6cd4, 0xbca0, - 0x6cd1, 0xbc9b, 0x6cce, 0xbc95, 0x6cca, 0xbc90, 0x6cc7, 0xbc8b, - 0x6cc4, 0xbc85, 0x6cc1, 0xbc80, 0x6cbd, 0xbc7b, 0x6cba, 0xbc75, - 0x6cb7, 0xbc70, 0x6cb3, 0xbc6b, 0x6cb0, 0xbc65, 0x6cad, 0xbc60, - 0x6ca9, 0xbc5b, 0x6ca6, 0xbc55, 0x6ca3, 0xbc50, 0x6c9f, 0xbc4b, - 0x6c9c, 0xbc45, 0x6c99, 0xbc40, 0x6c95, 0xbc3b, 0x6c92, 0xbc35, - 0x6c8f, 0xbc30, 0x6c8b, 0xbc2b, 0x6c88, 0xbc25, 0x6c85, 0xbc20, - 0x6c81, 0xbc1b, 0x6c7e, 0xbc15, 0x6c7b, 0xbc10, 0x6c77, 0xbc0b, - 0x6c74, 0xbc05, 0x6c71, 0xbc00, 0x6c6d, 0xbbfb, 0x6c6a, 0xbbf5, - 0x6c67, 0xbbf0, 0x6c63, 0xbbeb, 0x6c60, 0xbbe5, 0x6c5d, 0xbbe0, - 0x6c59, 0xbbdb, 0x6c56, 0xbbd5, 0x6c53, 0xbbd0, 0x6c4f, 0xbbcb, - 0x6c4c, 0xbbc5, 0x6c49, 0xbbc0, 0x6c45, 0xbbbb, 0x6c42, 0xbbb5, - 0x6c3f, 0xbbb0, 0x6c3b, 0xbbab, 0x6c38, 0xbba6, 0x6c34, 0xbba0, - 0x6c31, 0xbb9b, 0x6c2e, 0xbb96, 0x6c2a, 0xbb90, 0x6c27, 0xbb8b, - 0x6c24, 0xbb86, 0x6c20, 0xbb80, 0x6c1d, 0xbb7b, 0x6c1a, 0xbb76, - 0x6c16, 0xbb70, 0x6c13, 0xbb6b, 0x6c0f, 0xbb66, 0x6c0c, 0xbb61, - 0x6c09, 0xbb5b, 0x6c05, 0xbb56, 0x6c02, 0xbb51, 0x6bff, 0xbb4b, - 0x6bfb, 0xbb46, 0x6bf8, 0xbb41, 0x6bf5, 0xbb3b, 0x6bf1, 0xbb36, - 0x6bee, 0xbb31, 0x6bea, 0xbb2c, 0x6be7, 0xbb26, 0x6be4, 0xbb21, - 0x6be0, 0xbb1c, 0x6bdd, 0xbb16, 0x6bd9, 0xbb11, 0x6bd6, 0xbb0c, - 0x6bd3, 0xbb06, 0x6bcf, 0xbb01, 0x6bcc, 0xbafc, 0x6bc9, 0xbaf7, - 0x6bc5, 0xbaf1, 0x6bc2, 0xbaec, 0x6bbe, 0xbae7, 0x6bbb, 0xbae1, - 0x6bb8, 0xbadc, 0x6bb4, 0xbad7, 0x6bb1, 0xbad2, 0x6bad, 0xbacc, - 0x6baa, 0xbac7, 0x6ba7, 0xbac2, 0x6ba3, 0xbabc, 0x6ba0, 0xbab7, - 0x6b9c, 0xbab2, 0x6b99, 0xbaad, 0x6b96, 0xbaa7, 0x6b92, 0xbaa2, - 0x6b8f, 0xba9d, 0x6b8b, 0xba97, 0x6b88, 0xba92, 0x6b85, 0xba8d, - 0x6b81, 0xba88, 0x6b7e, 0xba82, 0x6b7a, 0xba7d, 0x6b77, 0xba78, - 0x6b73, 0xba73, 0x6b70, 0xba6d, 0x6b6d, 0xba68, 0x6b69, 0xba63, - 0x6b66, 0xba5d, 0x6b62, 0xba58, 0x6b5f, 0xba53, 0x6b5c, 0xba4e, - 0x6b58, 0xba48, 0x6b55, 0xba43, 0x6b51, 0xba3e, 0x6b4e, 0xba39, - 0x6b4a, 0xba33, 0x6b47, 0xba2e, 0x6b44, 0xba29, 0x6b40, 0xba23, - 0x6b3d, 0xba1e, 0x6b39, 0xba19, 0x6b36, 0xba14, 0x6b32, 0xba0e, - 0x6b2f, 0xba09, 0x6b2c, 0xba04, 0x6b28, 0xb9ff, 0x6b25, 0xb9f9, - 0x6b21, 0xb9f4, 0x6b1e, 0xb9ef, 0x6b1a, 0xb9ea, 0x6b17, 0xb9e4, - 0x6b13, 0xb9df, 0x6b10, 0xb9da, 0x6b0d, 0xb9d5, 0x6b09, 0xb9cf, - 0x6b06, 0xb9ca, 0x6b02, 0xb9c5, 0x6aff, 0xb9c0, 0x6afb, 0xb9ba, - 0x6af8, 0xb9b5, 0x6af4, 0xb9b0, 0x6af1, 0xb9ab, 0x6aee, 0xb9a5, - 0x6aea, 0xb9a0, 0x6ae7, 0xb99b, 0x6ae3, 0xb996, 0x6ae0, 0xb990, - 0x6adc, 0xb98b, 0x6ad9, 0xb986, 0x6ad5, 0xb981, 0x6ad2, 0xb97b, - 0x6ace, 0xb976, 0x6acb, 0xb971, 0x6ac8, 0xb96c, 0x6ac4, 0xb966, - 0x6ac1, 0xb961, 0x6abd, 0xb95c, 0x6aba, 0xb957, 0x6ab6, 0xb951, - 0x6ab3, 0xb94c, 0x6aaf, 0xb947, 0x6aac, 0xb942, 0x6aa8, 0xb93c, - 0x6aa5, 0xb937, 0x6aa1, 0xb932, 0x6a9e, 0xb92d, 0x6a9a, 0xb928, - 0x6a97, 0xb922, 0x6a93, 0xb91d, 0x6a90, 0xb918, 0x6a8c, 0xb913, - 0x6a89, 0xb90d, 0x6a86, 0xb908, 0x6a82, 0xb903, 0x6a7f, 0xb8fe, - 0x6a7b, 0xb8f8, 0x6a78, 0xb8f3, 0x6a74, 0xb8ee, 0x6a71, 0xb8e9, - 0x6a6d, 0xb8e4, 0x6a6a, 0xb8de, 0x6a66, 0xb8d9, 0x6a63, 0xb8d4, - 0x6a5f, 0xb8cf, 0x6a5c, 0xb8c9, 0x6a58, 0xb8c4, 0x6a55, 0xb8bf, - 0x6a51, 0xb8ba, 0x6a4e, 0xb8b5, 0x6a4a, 0xb8af, 0x6a47, 0xb8aa, - 0x6a43, 0xb8a5, 0x6a40, 0xb8a0, 0x6a3c, 0xb89b, 0x6a39, 0xb895, - 0x6a35, 0xb890, 0x6a32, 0xb88b, 0x6a2e, 0xb886, 0x6a2b, 0xb880, - 0x6a27, 0xb87b, 0x6a24, 0xb876, 0x6a20, 0xb871, 0x6a1d, 0xb86c, - 0x6a19, 0xb866, 0x6a16, 0xb861, 0x6a12, 0xb85c, 0x6a0e, 0xb857, - 0x6a0b, 0xb852, 0x6a07, 0xb84c, 0x6a04, 0xb847, 0x6a00, 0xb842, - 0x69fd, 0xb83d, 0x69f9, 0xb838, 0x69f6, 0xb832, 0x69f2, 0xb82d, - 0x69ef, 0xb828, 0x69eb, 0xb823, 0x69e8, 0xb81e, 0x69e4, 0xb818, - 0x69e1, 0xb813, 0x69dd, 0xb80e, 0x69da, 0xb809, 0x69d6, 0xb804, - 0x69d3, 0xb7fe, 0x69cf, 0xb7f9, 0x69cb, 0xb7f4, 0x69c8, 0xb7ef, - 0x69c4, 0xb7ea, 0x69c1, 0xb7e4, 0x69bd, 0xb7df, 0x69ba, 0xb7da, - 0x69b6, 0xb7d5, 0x69b3, 0xb7d0, 0x69af, 0xb7ca, 0x69ac, 0xb7c5, - 0x69a8, 0xb7c0, 0x69a5, 0xb7bb, 0x69a1, 0xb7b6, 0x699d, 0xb7b1, - 0x699a, 0xb7ab, 0x6996, 0xb7a6, 0x6993, 0xb7a1, 0x698f, 0xb79c, - 0x698c, 0xb797, 0x6988, 0xb791, 0x6985, 0xb78c, 0x6981, 0xb787, - 0x697d, 0xb782, 0x697a, 0xb77d, 0x6976, 0xb778, 0x6973, 0xb772, - 0x696f, 0xb76d, 0x696c, 0xb768, 0x6968, 0xb763, 0x6964, 0xb75e, - 0x6961, 0xb758, 0x695d, 0xb753, 0x695a, 0xb74e, 0x6956, 0xb749, - 0x6953, 0xb744, 0x694f, 0xb73f, 0x694b, 0xb739, 0x6948, 0xb734, - 0x6944, 0xb72f, 0x6941, 0xb72a, 0x693d, 0xb725, 0x693a, 0xb720, - 0x6936, 0xb71a, 0x6932, 0xb715, 0x692f, 0xb710, 0x692b, 0xb70b, - 0x6928, 0xb706, 0x6924, 0xb701, 0x6921, 0xb6fb, 0x691d, 0xb6f6, - 0x6919, 0xb6f1, 0x6916, 0xb6ec, 0x6912, 0xb6e7, 0x690f, 0xb6e2, - 0x690b, 0xb6dd, 0x6907, 0xb6d7, 0x6904, 0xb6d2, 0x6900, 0xb6cd, - 0x68fd, 0xb6c8, 0x68f9, 0xb6c3, 0x68f5, 0xb6be, 0x68f2, 0xb6b8, - 0x68ee, 0xb6b3, 0x68eb, 0xb6ae, 0x68e7, 0xb6a9, 0x68e3, 0xb6a4, - 0x68e0, 0xb69f, 0x68dc, 0xb69a, 0x68d9, 0xb694, 0x68d5, 0xb68f, - 0x68d1, 0xb68a, 0x68ce, 0xb685, 0x68ca, 0xb680, 0x68c7, 0xb67b, - 0x68c3, 0xb676, 0x68bf, 0xb670, 0x68bc, 0xb66b, 0x68b8, 0xb666, - 0x68b5, 0xb661, 0x68b1, 0xb65c, 0x68ad, 0xb657, 0x68aa, 0xb652, - 0x68a6, 0xb64c, 0x68a3, 0xb647, 0x689f, 0xb642, 0x689b, 0xb63d, - 0x6898, 0xb638, 0x6894, 0xb633, 0x6890, 0xb62e, 0x688d, 0xb628, - 0x6889, 0xb623, 0x6886, 0xb61e, 0x6882, 0xb619, 0x687e, 0xb614, - 0x687b, 0xb60f, 0x6877, 0xb60a, 0x6873, 0xb605, 0x6870, 0xb5ff, - 0x686c, 0xb5fa, 0x6868, 0xb5f5, 0x6865, 0xb5f0, 0x6861, 0xb5eb, - 0x685e, 0xb5e6, 0x685a, 0xb5e1, 0x6856, 0xb5dc, 0x6853, 0xb5d6, - 0x684f, 0xb5d1, 0x684b, 0xb5cc, 0x6848, 0xb5c7, 0x6844, 0xb5c2, - 0x6840, 0xb5bd, 0x683d, 0xb5b8, 0x6839, 0xb5b3, 0x6835, 0xb5ae, - 0x6832, 0xb5a8, 0x682e, 0xb5a3, 0x682b, 0xb59e, 0x6827, 0xb599, - 0x6823, 0xb594, 0x6820, 0xb58f, 0x681c, 0xb58a, 0x6818, 0xb585, - 0x6815, 0xb57f, 0x6811, 0xb57a, 0x680d, 0xb575, 0x680a, 0xb570, - 0x6806, 0xb56b, 0x6802, 0xb566, 0x67ff, 0xb561, 0x67fb, 0xb55c, - 0x67f7, 0xb557, 0x67f4, 0xb552, 0x67f0, 0xb54c, 0x67ec, 0xb547, - 0x67e9, 0xb542, 0x67e5, 0xb53d, 0x67e1, 0xb538, 0x67de, 0xb533, - 0x67da, 0xb52e, 0x67d6, 0xb529, 0x67d3, 0xb524, 0x67cf, 0xb51f, - 0x67cb, 0xb519, 0x67c8, 0xb514, 0x67c4, 0xb50f, 0x67c0, 0xb50a, - 0x67bd, 0xb505, 0x67b9, 0xb500, 0x67b5, 0xb4fb, 0x67b2, 0xb4f6, - 0x67ae, 0xb4f1, 0x67aa, 0xb4ec, 0x67a6, 0xb4e7, 0x67a3, 0xb4e1, - 0x679f, 0xb4dc, 0x679b, 0xb4d7, 0x6798, 0xb4d2, 0x6794, 0xb4cd, - 0x6790, 0xb4c8, 0x678d, 0xb4c3, 0x6789, 0xb4be, 0x6785, 0xb4b9, - 0x6782, 0xb4b4, 0x677e, 0xb4af, 0x677a, 0xb4aa, 0x6776, 0xb4a4, - 0x6773, 0xb49f, 0x676f, 0xb49a, 0x676b, 0xb495, 0x6768, 0xb490, - 0x6764, 0xb48b, 0x6760, 0xb486, 0x675d, 0xb481, 0x6759, 0xb47c, - 0x6755, 0xb477, 0x6751, 0xb472, 0x674e, 0xb46d, 0x674a, 0xb468, - 0x6746, 0xb462, 0x6743, 0xb45d, 0x673f, 0xb458, 0x673b, 0xb453, - 0x6737, 0xb44e, 0x6734, 0xb449, 0x6730, 0xb444, 0x672c, 0xb43f, - 0x6729, 0xb43a, 0x6725, 0xb435, 0x6721, 0xb430, 0x671d, 0xb42b, - 0x671a, 0xb426, 0x6716, 0xb421, 0x6712, 0xb41c, 0x670e, 0xb417, - 0x670b, 0xb411, 0x6707, 0xb40c, 0x6703, 0xb407, 0x6700, 0xb402, - 0x66fc, 0xb3fd, 0x66f8, 0xb3f8, 0x66f4, 0xb3f3, 0x66f1, 0xb3ee, - 0x66ed, 0xb3e9, 0x66e9, 0xb3e4, 0x66e5, 0xb3df, 0x66e2, 0xb3da, - 0x66de, 0xb3d5, 0x66da, 0xb3d0, 0x66d6, 0xb3cb, 0x66d3, 0xb3c6, - 0x66cf, 0xb3c1, 0x66cb, 0xb3bc, 0x66c8, 0xb3b7, 0x66c4, 0xb3b1, - 0x66c0, 0xb3ac, 0x66bc, 0xb3a7, 0x66b9, 0xb3a2, 0x66b5, 0xb39d, - 0x66b1, 0xb398, 0x66ad, 0xb393, 0x66aa, 0xb38e, 0x66a6, 0xb389, - 0x66a2, 0xb384, 0x669e, 0xb37f, 0x669b, 0xb37a, 0x6697, 0xb375, - 0x6693, 0xb370, 0x668f, 0xb36b, 0x668b, 0xb366, 0x6688, 0xb361, - 0x6684, 0xb35c, 0x6680, 0xb357, 0x667c, 0xb352, 0x6679, 0xb34d, - 0x6675, 0xb348, 0x6671, 0xb343, 0x666d, 0xb33e, 0x666a, 0xb339, - 0x6666, 0xb334, 0x6662, 0xb32f, 0x665e, 0xb32a, 0x665b, 0xb325, - 0x6657, 0xb31f, 0x6653, 0xb31a, 0x664f, 0xb315, 0x664b, 0xb310, - 0x6648, 0xb30b, 0x6644, 0xb306, 0x6640, 0xb301, 0x663c, 0xb2fc, - 0x6639, 0xb2f7, 0x6635, 0xb2f2, 0x6631, 0xb2ed, 0x662d, 0xb2e8, - 0x6629, 0xb2e3, 0x6626, 0xb2de, 0x6622, 0xb2d9, 0x661e, 0xb2d4, - 0x661a, 0xb2cf, 0x6616, 0xb2ca, 0x6613, 0xb2c5, 0x660f, 0xb2c0, - 0x660b, 0xb2bb, 0x6607, 0xb2b6, 0x6603, 0xb2b1, 0x6600, 0xb2ac, - 0x65fc, 0xb2a7, 0x65f8, 0xb2a2, 0x65f4, 0xb29d, 0x65f0, 0xb298, - 0x65ed, 0xb293, 0x65e9, 0xb28e, 0x65e5, 0xb289, 0x65e1, 0xb284, - 0x65dd, 0xb27f, 0x65da, 0xb27a, 0x65d6, 0xb275, 0x65d2, 0xb270, - 0x65ce, 0xb26b, 0x65ca, 0xb266, 0x65c7, 0xb261, 0x65c3, 0xb25c, - 0x65bf, 0xb257, 0x65bb, 0xb252, 0x65b7, 0xb24d, 0x65b4, 0xb248, - 0x65b0, 0xb243, 0x65ac, 0xb23e, 0x65a8, 0xb239, 0x65a4, 0xb234, - 0x65a0, 0xb22f, 0x659d, 0xb22a, 0x6599, 0xb225, 0x6595, 0xb220, - 0x6591, 0xb21b, 0x658d, 0xb216, 0x658a, 0xb211, 0x6586, 0xb20c, - 0x6582, 0xb207, 0x657e, 0xb202, 0x657a, 0xb1fd, 0x6576, 0xb1f8, - 0x6573, 0xb1f3, 0x656f, 0xb1ee, 0x656b, 0xb1e9, 0x6567, 0xb1e4, - 0x6563, 0xb1df, 0x655f, 0xb1da, 0x655c, 0xb1d6, 0x6558, 0xb1d1, - 0x6554, 0xb1cc, 0x6550, 0xb1c7, 0x654c, 0xb1c2, 0x6548, 0xb1bd, - 0x6545, 0xb1b8, 0x6541, 0xb1b3, 0x653d, 0xb1ae, 0x6539, 0xb1a9, - 0x6535, 0xb1a4, 0x6531, 0xb19f, 0x652d, 0xb19a, 0x652a, 0xb195, - 0x6526, 0xb190, 0x6522, 0xb18b, 0x651e, 0xb186, 0x651a, 0xb181, - 0x6516, 0xb17c, 0x6513, 0xb177, 0x650f, 0xb172, 0x650b, 0xb16d, - 0x6507, 0xb168, 0x6503, 0xb163, 0x64ff, 0xb15e, 0x64fb, 0xb159, - 0x64f7, 0xb154, 0x64f4, 0xb14f, 0x64f0, 0xb14a, 0x64ec, 0xb146, - 0x64e8, 0xb141, 0x64e4, 0xb13c, 0x64e0, 0xb137, 0x64dc, 0xb132, - 0x64d9, 0xb12d, 0x64d5, 0xb128, 0x64d1, 0xb123, 0x64cd, 0xb11e, - 0x64c9, 0xb119, 0x64c5, 0xb114, 0x64c1, 0xb10f, 0x64bd, 0xb10a, - 0x64ba, 0xb105, 0x64b6, 0xb100, 0x64b2, 0xb0fb, 0x64ae, 0xb0f6, - 0x64aa, 0xb0f1, 0x64a6, 0xb0ec, 0x64a2, 0xb0e8, 0x649e, 0xb0e3, - 0x649b, 0xb0de, 0x6497, 0xb0d9, 0x6493, 0xb0d4, 0x648f, 0xb0cf, - 0x648b, 0xb0ca, 0x6487, 0xb0c5, 0x6483, 0xb0c0, 0x647f, 0xb0bb, - 0x647b, 0xb0b6, 0x6478, 0xb0b1, 0x6474, 0xb0ac, 0x6470, 0xb0a7, - 0x646c, 0xb0a2, 0x6468, 0xb09e, 0x6464, 0xb099, 0x6460, 0xb094, - 0x645c, 0xb08f, 0x6458, 0xb08a, 0x6454, 0xb085, 0x6451, 0xb080, - 0x644d, 0xb07b, 0x6449, 0xb076, 0x6445, 0xb071, 0x6441, 0xb06c, - 0x643d, 0xb067, 0x6439, 0xb062, 0x6435, 0xb05e, 0x6431, 0xb059, - 0x642d, 0xb054, 0x6429, 0xb04f, 0x6426, 0xb04a, 0x6422, 0xb045, - 0x641e, 0xb040, 0x641a, 0xb03b, 0x6416, 0xb036, 0x6412, 0xb031, - 0x640e, 0xb02c, 0x640a, 0xb027, 0x6406, 0xb023, 0x6402, 0xb01e, - 0x63fe, 0xb019, 0x63fa, 0xb014, 0x63f7, 0xb00f, 0x63f3, 0xb00a, - 0x63ef, 0xb005, 0x63eb, 0xb000, 0x63e7, 0xaffb, 0x63e3, 0xaff6, - 0x63df, 0xaff1, 0x63db, 0xafed, 0x63d7, 0xafe8, 0x63d3, 0xafe3, - 0x63cf, 0xafde, 0x63cb, 0xafd9, 0x63c7, 0xafd4, 0x63c3, 0xafcf, - 0x63c0, 0xafca, 0x63bc, 0xafc5, 0x63b8, 0xafc1, 0x63b4, 0xafbc, - 0x63b0, 0xafb7, 0x63ac, 0xafb2, 0x63a8, 0xafad, 0x63a4, 0xafa8, - 0x63a0, 0xafa3, 0x639c, 0xaf9e, 0x6398, 0xaf99, 0x6394, 0xaf94, - 0x6390, 0xaf90, 0x638c, 0xaf8b, 0x6388, 0xaf86, 0x6384, 0xaf81, - 0x6380, 0xaf7c, 0x637c, 0xaf77, 0x6378, 0xaf72, 0x6375, 0xaf6d, - 0x6371, 0xaf69, 0x636d, 0xaf64, 0x6369, 0xaf5f, 0x6365, 0xaf5a, - 0x6361, 0xaf55, 0x635d, 0xaf50, 0x6359, 0xaf4b, 0x6355, 0xaf46, - 0x6351, 0xaf41, 0x634d, 0xaf3d, 0x6349, 0xaf38, 0x6345, 0xaf33, - 0x6341, 0xaf2e, 0x633d, 0xaf29, 0x6339, 0xaf24, 0x6335, 0xaf1f, - 0x6331, 0xaf1b, 0x632d, 0xaf16, 0x6329, 0xaf11, 0x6325, 0xaf0c, - 0x6321, 0xaf07, 0x631d, 0xaf02, 0x6319, 0xaefd, 0x6315, 0xaef8, - 0x6311, 0xaef4, 0x630d, 0xaeef, 0x6309, 0xaeea, 0x6305, 0xaee5, - 0x6301, 0xaee0, 0x62fd, 0xaedb, 0x62f9, 0xaed6, 0x62f5, 0xaed2, - 0x62f2, 0xaecd, 0x62ee, 0xaec8, 0x62ea, 0xaec3, 0x62e6, 0xaebe, - 0x62e2, 0xaeb9, 0x62de, 0xaeb4, 0x62da, 0xaeb0, 0x62d6, 0xaeab, - 0x62d2, 0xaea6, 0x62ce, 0xaea1, 0x62ca, 0xae9c, 0x62c6, 0xae97, - 0x62c2, 0xae92, 0x62be, 0xae8e, 0x62ba, 0xae89, 0x62b6, 0xae84, - 0x62b2, 0xae7f, 0x62ae, 0xae7a, 0x62aa, 0xae75, 0x62a6, 0xae71, - 0x62a2, 0xae6c, 0x629e, 0xae67, 0x629a, 0xae62, 0x6296, 0xae5d, - 0x6292, 0xae58, 0x628e, 0xae54, 0x628a, 0xae4f, 0x6286, 0xae4a, - 0x6282, 0xae45, 0x627e, 0xae40, 0x627a, 0xae3b, 0x6275, 0xae37, - 0x6271, 0xae32, 0x626d, 0xae2d, 0x6269, 0xae28, 0x6265, 0xae23, - 0x6261, 0xae1e, 0x625d, 0xae1a, 0x6259, 0xae15, 0x6255, 0xae10, - 0x6251, 0xae0b, 0x624d, 0xae06, 0x6249, 0xae01, 0x6245, 0xadfd, - 0x6241, 0xadf8, 0x623d, 0xadf3, 0x6239, 0xadee, 0x6235, 0xade9, - 0x6231, 0xade4, 0x622d, 0xade0, 0x6229, 0xaddb, 0x6225, 0xadd6, - 0x6221, 0xadd1, 0x621d, 0xadcc, 0x6219, 0xadc8, 0x6215, 0xadc3, - 0x6211, 0xadbe, 0x620d, 0xadb9, 0x6209, 0xadb4, 0x6205, 0xadaf, - 0x6201, 0xadab, 0x61fd, 0xada6, 0x61f9, 0xada1, 0x61f5, 0xad9c, - 0x61f1, 0xad97, 0x61ec, 0xad93, 0x61e8, 0xad8e, 0x61e4, 0xad89, - 0x61e0, 0xad84, 0x61dc, 0xad7f, 0x61d8, 0xad7b, 0x61d4, 0xad76, - 0x61d0, 0xad71, 0x61cc, 0xad6c, 0x61c8, 0xad67, 0x61c4, 0xad63, - 0x61c0, 0xad5e, 0x61bc, 0xad59, 0x61b8, 0xad54, 0x61b4, 0xad4f, - 0x61b0, 0xad4b, 0x61ac, 0xad46, 0x61a8, 0xad41, 0x61a3, 0xad3c, - 0x619f, 0xad37, 0x619b, 0xad33, 0x6197, 0xad2e, 0x6193, 0xad29, - 0x618f, 0xad24, 0x618b, 0xad1f, 0x6187, 0xad1b, 0x6183, 0xad16, - 0x617f, 0xad11, 0x617b, 0xad0c, 0x6177, 0xad08, 0x6173, 0xad03, - 0x616f, 0xacfe, 0x616b, 0xacf9, 0x6166, 0xacf4, 0x6162, 0xacf0, - 0x615e, 0xaceb, 0x615a, 0xace6, 0x6156, 0xace1, 0x6152, 0xacdd, - 0x614e, 0xacd8, 0x614a, 0xacd3, 0x6146, 0xacce, 0x6142, 0xacc9, - 0x613e, 0xacc5, 0x613a, 0xacc0, 0x6135, 0xacbb, 0x6131, 0xacb6, - 0x612d, 0xacb2, 0x6129, 0xacad, 0x6125, 0xaca8, 0x6121, 0xaca3, - 0x611d, 0xac9e, 0x6119, 0xac9a, 0x6115, 0xac95, 0x6111, 0xac90, - 0x610d, 0xac8b, 0x6108, 0xac87, 0x6104, 0xac82, 0x6100, 0xac7d, - 0x60fc, 0xac78, 0x60f8, 0xac74, 0x60f4, 0xac6f, 0x60f0, 0xac6a, - 0x60ec, 0xac65, 0x60e8, 0xac61, 0x60e4, 0xac5c, 0x60df, 0xac57, - 0x60db, 0xac52, 0x60d7, 0xac4e, 0x60d3, 0xac49, 0x60cf, 0xac44, - 0x60cb, 0xac3f, 0x60c7, 0xac3b, 0x60c3, 0xac36, 0x60bf, 0xac31, - 0x60ba, 0xac2c, 0x60b6, 0xac28, 0x60b2, 0xac23, 0x60ae, 0xac1e, - 0x60aa, 0xac19, 0x60a6, 0xac15, 0x60a2, 0xac10, 0x609e, 0xac0b, - 0x6099, 0xac06, 0x6095, 0xac02, 0x6091, 0xabfd, 0x608d, 0xabf8, - 0x6089, 0xabf3, 0x6085, 0xabef, 0x6081, 0xabea, 0x607d, 0xabe5, - 0x6078, 0xabe0, 0x6074, 0xabdc, 0x6070, 0xabd7, 0x606c, 0xabd2, - 0x6068, 0xabcd, 0x6064, 0xabc9, 0x6060, 0xabc4, 0x605c, 0xabbf, - 0x6057, 0xabbb, 0x6053, 0xabb6, 0x604f, 0xabb1, 0x604b, 0xabac, - 0x6047, 0xaba8, 0x6043, 0xaba3, 0x603f, 0xab9e, 0x603a, 0xab99, - 0x6036, 0xab95, 0x6032, 0xab90, 0x602e, 0xab8b, 0x602a, 0xab87, - 0x6026, 0xab82, 0x6022, 0xab7d, 0x601d, 0xab78, 0x6019, 0xab74, - 0x6015, 0xab6f, 0x6011, 0xab6a, 0x600d, 0xab66, 0x6009, 0xab61, - 0x6004, 0xab5c, 0x6000, 0xab57, 0x5ffc, 0xab53, 0x5ff8, 0xab4e, - 0x5ff4, 0xab49, 0x5ff0, 0xab45, 0x5fec, 0xab40, 0x5fe7, 0xab3b, - 0x5fe3, 0xab36, 0x5fdf, 0xab32, 0x5fdb, 0xab2d, 0x5fd7, 0xab28, - 0x5fd3, 0xab24, 0x5fce, 0xab1f, 0x5fca, 0xab1a, 0x5fc6, 0xab16, - 0x5fc2, 0xab11, 0x5fbe, 0xab0c, 0x5fba, 0xab07, 0x5fb5, 0xab03, - 0x5fb1, 0xaafe, 0x5fad, 0xaaf9, 0x5fa9, 0xaaf5, 0x5fa5, 0xaaf0, - 0x5fa0, 0xaaeb, 0x5f9c, 0xaae7, 0x5f98, 0xaae2, 0x5f94, 0xaadd, - 0x5f90, 0xaad8, 0x5f8c, 0xaad4, 0x5f87, 0xaacf, 0x5f83, 0xaaca, - 0x5f7f, 0xaac6, 0x5f7b, 0xaac1, 0x5f77, 0xaabc, 0x5f72, 0xaab8, - 0x5f6e, 0xaab3, 0x5f6a, 0xaaae, 0x5f66, 0xaaaa, 0x5f62, 0xaaa5, - 0x5f5e, 0xaaa0, 0x5f59, 0xaa9c, 0x5f55, 0xaa97, 0x5f51, 0xaa92, - 0x5f4d, 0xaa8e, 0x5f49, 0xaa89, 0x5f44, 0xaa84, 0x5f40, 0xaa7f, - 0x5f3c, 0xaa7b, 0x5f38, 0xaa76, 0x5f34, 0xaa71, 0x5f2f, 0xaa6d, - 0x5f2b, 0xaa68, 0x5f27, 0xaa63, 0x5f23, 0xaa5f, 0x5f1f, 0xaa5a, - 0x5f1a, 0xaa55, 0x5f16, 0xaa51, 0x5f12, 0xaa4c, 0x5f0e, 0xaa47, - 0x5f0a, 0xaa43, 0x5f05, 0xaa3e, 0x5f01, 0xaa39, 0x5efd, 0xaa35, - 0x5ef9, 0xaa30, 0x5ef5, 0xaa2b, 0x5ef0, 0xaa27, 0x5eec, 0xaa22, - 0x5ee8, 0xaa1d, 0x5ee4, 0xaa19, 0x5edf, 0xaa14, 0x5edb, 0xaa10, - 0x5ed7, 0xaa0b, 0x5ed3, 0xaa06, 0x5ecf, 0xaa02, 0x5eca, 0xa9fd, - 0x5ec6, 0xa9f8, 0x5ec2, 0xa9f4, 0x5ebe, 0xa9ef, 0x5eb9, 0xa9ea, - 0x5eb5, 0xa9e6, 0x5eb1, 0xa9e1, 0x5ead, 0xa9dc, 0x5ea9, 0xa9d8, - 0x5ea4, 0xa9d3, 0x5ea0, 0xa9ce, 0x5e9c, 0xa9ca, 0x5e98, 0xa9c5, - 0x5e93, 0xa9c0, 0x5e8f, 0xa9bc, 0x5e8b, 0xa9b7, 0x5e87, 0xa9b3, - 0x5e82, 0xa9ae, 0x5e7e, 0xa9a9, 0x5e7a, 0xa9a5, 0x5e76, 0xa9a0, - 0x5e71, 0xa99b, 0x5e6d, 0xa997, 0x5e69, 0xa992, 0x5e65, 0xa98d, - 0x5e60, 0xa989, 0x5e5c, 0xa984, 0x5e58, 0xa980, 0x5e54, 0xa97b, - 0x5e50, 0xa976, 0x5e4b, 0xa972, 0x5e47, 0xa96d, 0x5e43, 0xa968, - 0x5e3f, 0xa964, 0x5e3a, 0xa95f, 0x5e36, 0xa95b, 0x5e32, 0xa956, - 0x5e2d, 0xa951, 0x5e29, 0xa94d, 0x5e25, 0xa948, 0x5e21, 0xa943, - 0x5e1c, 0xa93f, 0x5e18, 0xa93a, 0x5e14, 0xa936, 0x5e10, 0xa931, - 0x5e0b, 0xa92c, 0x5e07, 0xa928, 0x5e03, 0xa923, 0x5dff, 0xa91e, - 0x5dfa, 0xa91a, 0x5df6, 0xa915, 0x5df2, 0xa911, 0x5dee, 0xa90c, - 0x5de9, 0xa907, 0x5de5, 0xa903, 0x5de1, 0xa8fe, 0x5ddc, 0xa8fa, - 0x5dd8, 0xa8f5, 0x5dd4, 0xa8f0, 0x5dd0, 0xa8ec, 0x5dcb, 0xa8e7, - 0x5dc7, 0xa8e3, 0x5dc3, 0xa8de, 0x5dbf, 0xa8d9, 0x5dba, 0xa8d5, - 0x5db6, 0xa8d0, 0x5db2, 0xa8cc, 0x5dad, 0xa8c7, 0x5da9, 0xa8c2, - 0x5da5, 0xa8be, 0x5da1, 0xa8b9, 0x5d9c, 0xa8b5, 0x5d98, 0xa8b0, - 0x5d94, 0xa8ab, 0x5d8f, 0xa8a7, 0x5d8b, 0xa8a2, 0x5d87, 0xa89e, - 0x5d83, 0xa899, 0x5d7e, 0xa894, 0x5d7a, 0xa890, 0x5d76, 0xa88b, - 0x5d71, 0xa887, 0x5d6d, 0xa882, 0x5d69, 0xa87d, 0x5d65, 0xa879, - 0x5d60, 0xa874, 0x5d5c, 0xa870, 0x5d58, 0xa86b, 0x5d53, 0xa867, - 0x5d4f, 0xa862, 0x5d4b, 0xa85d, 0x5d46, 0xa859, 0x5d42, 0xa854, - 0x5d3e, 0xa850, 0x5d3a, 0xa84b, 0x5d35, 0xa847, 0x5d31, 0xa842, - 0x5d2d, 0xa83d, 0x5d28, 0xa839, 0x5d24, 0xa834, 0x5d20, 0xa830, - 0x5d1b, 0xa82b, 0x5d17, 0xa827, 0x5d13, 0xa822, 0x5d0e, 0xa81d, - 0x5d0a, 0xa819, 0x5d06, 0xa814, 0x5d01, 0xa810, 0x5cfd, 0xa80b, - 0x5cf9, 0xa807, 0x5cf5, 0xa802, 0x5cf0, 0xa7fd, 0x5cec, 0xa7f9, - 0x5ce8, 0xa7f4, 0x5ce3, 0xa7f0, 0x5cdf, 0xa7eb, 0x5cdb, 0xa7e7, - 0x5cd6, 0xa7e2, 0x5cd2, 0xa7de, 0x5cce, 0xa7d9, 0x5cc9, 0xa7d4, - 0x5cc5, 0xa7d0, 0x5cc1, 0xa7cb, 0x5cbc, 0xa7c7, 0x5cb8, 0xa7c2, - 0x5cb4, 0xa7be, 0x5caf, 0xa7b9, 0x5cab, 0xa7b5, 0x5ca7, 0xa7b0, - 0x5ca2, 0xa7ab, 0x5c9e, 0xa7a7, 0x5c9a, 0xa7a2, 0x5c95, 0xa79e, - 0x5c91, 0xa799, 0x5c8d, 0xa795, 0x5c88, 0xa790, 0x5c84, 0xa78c, - 0x5c80, 0xa787, 0x5c7b, 0xa783, 0x5c77, 0xa77e, 0x5c73, 0xa779, - 0x5c6e, 0xa775, 0x5c6a, 0xa770, 0x5c66, 0xa76c, 0x5c61, 0xa767, - 0x5c5d, 0xa763, 0x5c58, 0xa75e, 0x5c54, 0xa75a, 0x5c50, 0xa755, - 0x5c4b, 0xa751, 0x5c47, 0xa74c, 0x5c43, 0xa748, 0x5c3e, 0xa743, - 0x5c3a, 0xa73f, 0x5c36, 0xa73a, 0x5c31, 0xa735, 0x5c2d, 0xa731, - 0x5c29, 0xa72c, 0x5c24, 0xa728, 0x5c20, 0xa723, 0x5c1b, 0xa71f, - 0x5c17, 0xa71a, 0x5c13, 0xa716, 0x5c0e, 0xa711, 0x5c0a, 0xa70d, - 0x5c06, 0xa708, 0x5c01, 0xa704, 0x5bfd, 0xa6ff, 0x5bf9, 0xa6fb, - 0x5bf4, 0xa6f6, 0x5bf0, 0xa6f2, 0x5beb, 0xa6ed, 0x5be7, 0xa6e9, - 0x5be3, 0xa6e4, 0x5bde, 0xa6e0, 0x5bda, 0xa6db, 0x5bd6, 0xa6d7, - 0x5bd1, 0xa6d2, 0x5bcd, 0xa6ce, 0x5bc8, 0xa6c9, 0x5bc4, 0xa6c5, - 0x5bc0, 0xa6c0, 0x5bbb, 0xa6bc, 0x5bb7, 0xa6b7, 0x5bb2, 0xa6b3, - 0x5bae, 0xa6ae, 0x5baa, 0xa6aa, 0x5ba5, 0xa6a5, 0x5ba1, 0xa6a1, - 0x5b9d, 0xa69c, 0x5b98, 0xa698, 0x5b94, 0xa693, 0x5b8f, 0xa68f, - 0x5b8b, 0xa68a, 0x5b87, 0xa686, 0x5b82, 0xa681, 0x5b7e, 0xa67d, - 0x5b79, 0xa678, 0x5b75, 0xa674, 0x5b71, 0xa66f, 0x5b6c, 0xa66b, - 0x5b68, 0xa666, 0x5b63, 0xa662, 0x5b5f, 0xa65d, 0x5b5b, 0xa659, - 0x5b56, 0xa654, 0x5b52, 0xa650, 0x5b4d, 0xa64b, 0x5b49, 0xa647, - 0x5b45, 0xa642, 0x5b40, 0xa63e, 0x5b3c, 0xa639, 0x5b37, 0xa635, - 0x5b33, 0xa630, 0x5b2f, 0xa62c, 0x5b2a, 0xa627, 0x5b26, 0xa623, - 0x5b21, 0xa61f, 0x5b1d, 0xa61a, 0x5b19, 0xa616, 0x5b14, 0xa611, - 0x5b10, 0xa60d, 0x5b0b, 0xa608, 0x5b07, 0xa604, 0x5b02, 0xa5ff, - 0x5afe, 0xa5fb, 0x5afa, 0xa5f6, 0x5af5, 0xa5f2, 0x5af1, 0xa5ed, - 0x5aec, 0xa5e9, 0x5ae8, 0xa5e4, 0x5ae4, 0xa5e0, 0x5adf, 0xa5dc, - 0x5adb, 0xa5d7, 0x5ad6, 0xa5d3, 0x5ad2, 0xa5ce, 0x5acd, 0xa5ca, - 0x5ac9, 0xa5c5, 0x5ac5, 0xa5c1, 0x5ac0, 0xa5bc, 0x5abc, 0xa5b8, - 0x5ab7, 0xa5b3, 0x5ab3, 0xa5af, 0x5aae, 0xa5aa, 0x5aaa, 0xa5a6, - 0x5aa5, 0xa5a2, 0x5aa1, 0xa59d, 0x5a9d, 0xa599, 0x5a98, 0xa594, - 0x5a94, 0xa590, 0x5a8f, 0xa58b, 0x5a8b, 0xa587, 0x5a86, 0xa582, - 0x5a82, 0xa57e, 0x5a7e, 0xa57a, 0x5a79, 0xa575, 0x5a75, 0xa571, - 0x5a70, 0xa56c, 0x5a6c, 0xa568, 0x5a67, 0xa563, 0x5a63, 0xa55f, - 0x5a5e, 0xa55b, 0x5a5a, 0xa556, 0x5a56, 0xa552, 0x5a51, 0xa54d, - 0x5a4d, 0xa549, 0x5a48, 0xa544, 0x5a44, 0xa540, 0x5a3f, 0xa53b, - 0x5a3b, 0xa537, 0x5a36, 0xa533, 0x5a32, 0xa52e, 0x5a2d, 0xa52a, - 0x5a29, 0xa525, 0x5a24, 0xa521, 0x5a20, 0xa51c, 0x5a1c, 0xa518, - 0x5a17, 0xa514, 0x5a13, 0xa50f, 0x5a0e, 0xa50b, 0x5a0a, 0xa506, - 0x5a05, 0xa502, 0x5a01, 0xa4fe, 0x59fc, 0xa4f9, 0x59f8, 0xa4f5, - 0x59f3, 0xa4f0, 0x59ef, 0xa4ec, 0x59ea, 0xa4e7, 0x59e6, 0xa4e3, - 0x59e1, 0xa4df, 0x59dd, 0xa4da, 0x59d9, 0xa4d6, 0x59d4, 0xa4d1, - 0x59d0, 0xa4cd, 0x59cb, 0xa4c9, 0x59c7, 0xa4c4, 0x59c2, 0xa4c0, - 0x59be, 0xa4bb, 0x59b9, 0xa4b7, 0x59b5, 0xa4b3, 0x59b0, 0xa4ae, - 0x59ac, 0xa4aa, 0x59a7, 0xa4a5, 0x59a3, 0xa4a1, 0x599e, 0xa49d, - 0x599a, 0xa498, 0x5995, 0xa494, 0x5991, 0xa48f, 0x598c, 0xa48b, - 0x5988, 0xa487, 0x5983, 0xa482, 0x597f, 0xa47e, 0x597a, 0xa479, - 0x5976, 0xa475, 0x5971, 0xa471, 0x596d, 0xa46c, 0x5968, 0xa468, - 0x5964, 0xa463, 0x595f, 0xa45f, 0x595b, 0xa45b, 0x5956, 0xa456, - 0x5952, 0xa452, 0x594d, 0xa44e, 0x5949, 0xa449, 0x5944, 0xa445, - 0x5940, 0xa440, 0x593b, 0xa43c, 0x5937, 0xa438, 0x5932, 0xa433, - 0x592e, 0xa42f, 0x5929, 0xa42a, 0x5925, 0xa426, 0x5920, 0xa422, - 0x591c, 0xa41d, 0x5917, 0xa419, 0x5913, 0xa415, 0x590e, 0xa410, - 0x590a, 0xa40c, 0x5905, 0xa407, 0x5901, 0xa403, 0x58fc, 0xa3ff, - 0x58f8, 0xa3fa, 0x58f3, 0xa3f6, 0x58ef, 0xa3f2, 0x58ea, 0xa3ed, - 0x58e6, 0xa3e9, 0x58e1, 0xa3e5, 0x58dd, 0xa3e0, 0x58d8, 0xa3dc, - 0x58d4, 0xa3d7, 0x58cf, 0xa3d3, 0x58cb, 0xa3cf, 0x58c6, 0xa3ca, - 0x58c1, 0xa3c6, 0x58bd, 0xa3c2, 0x58b8, 0xa3bd, 0x58b4, 0xa3b9, - 0x58af, 0xa3b5, 0x58ab, 0xa3b0, 0x58a6, 0xa3ac, 0x58a2, 0xa3a8, - 0x589d, 0xa3a3, 0x5899, 0xa39f, 0x5894, 0xa39a, 0x5890, 0xa396, - 0x588b, 0xa392, 0x5887, 0xa38d, 0x5882, 0xa389, 0x587d, 0xa385, - 0x5879, 0xa380, 0x5874, 0xa37c, 0x5870, 0xa378, 0x586b, 0xa373, - 0x5867, 0xa36f, 0x5862, 0xa36b, 0x585e, 0xa366, 0x5859, 0xa362, - 0x5855, 0xa35e, 0x5850, 0xa359, 0x584b, 0xa355, 0x5847, 0xa351, - 0x5842, 0xa34c, 0x583e, 0xa348, 0x5839, 0xa344, 0x5835, 0xa33f, - 0x5830, 0xa33b, 0x582c, 0xa337, 0x5827, 0xa332, 0x5822, 0xa32e, - 0x581e, 0xa32a, 0x5819, 0xa325, 0x5815, 0xa321, 0x5810, 0xa31d, - 0x580c, 0xa318, 0x5807, 0xa314, 0x5803, 0xa310, 0x57fe, 0xa30b, - 0x57f9, 0xa307, 0x57f5, 0xa303, 0x57f0, 0xa2ff, 0x57ec, 0xa2fa, - 0x57e7, 0xa2f6, 0x57e3, 0xa2f2, 0x57de, 0xa2ed, 0x57d9, 0xa2e9, - 0x57d5, 0xa2e5, 0x57d0, 0xa2e0, 0x57cc, 0xa2dc, 0x57c7, 0xa2d8, - 0x57c3, 0xa2d3, 0x57be, 0xa2cf, 0x57b9, 0xa2cb, 0x57b5, 0xa2c6, - 0x57b0, 0xa2c2, 0x57ac, 0xa2be, 0x57a7, 0xa2ba, 0x57a3, 0xa2b5, - 0x579e, 0xa2b1, 0x5799, 0xa2ad, 0x5795, 0xa2a8, 0x5790, 0xa2a4, - 0x578c, 0xa2a0, 0x5787, 0xa29b, 0x5783, 0xa297, 0x577e, 0xa293, - 0x5779, 0xa28f, 0x5775, 0xa28a, 0x5770, 0xa286, 0x576c, 0xa282, - 0x5767, 0xa27d, 0x5762, 0xa279, 0x575e, 0xa275, 0x5759, 0xa271, - 0x5755, 0xa26c, 0x5750, 0xa268, 0x574b, 0xa264, 0x5747, 0xa25f, - 0x5742, 0xa25b, 0x573e, 0xa257, 0x5739, 0xa253, 0x5734, 0xa24e, - 0x5730, 0xa24a, 0x572b, 0xa246, 0x5727, 0xa241, 0x5722, 0xa23d, - 0x571d, 0xa239, 0x5719, 0xa235, 0x5714, 0xa230, 0x5710, 0xa22c, - 0x570b, 0xa228, 0x5706, 0xa224, 0x5702, 0xa21f, 0x56fd, 0xa21b, - 0x56f9, 0xa217, 0x56f4, 0xa212, 0x56ef, 0xa20e, 0x56eb, 0xa20a, - 0x56e6, 0xa206, 0x56e2, 0xa201, 0x56dd, 0xa1fd, 0x56d8, 0xa1f9, - 0x56d4, 0xa1f5, 0x56cf, 0xa1f0, 0x56ca, 0xa1ec, 0x56c6, 0xa1e8, - 0x56c1, 0xa1e4, 0x56bd, 0xa1df, 0x56b8, 0xa1db, 0x56b3, 0xa1d7, - 0x56af, 0xa1d3, 0x56aa, 0xa1ce, 0x56a5, 0xa1ca, 0x56a1, 0xa1c6, - 0x569c, 0xa1c1, 0x5698, 0xa1bd, 0x5693, 0xa1b9, 0x568e, 0xa1b5, - 0x568a, 0xa1b0, 0x5685, 0xa1ac, 0x5680, 0xa1a8, 0x567c, 0xa1a4, - 0x5677, 0xa1a0, 0x5673, 0xa19b, 0x566e, 0xa197, 0x5669, 0xa193, - 0x5665, 0xa18f, 0x5660, 0xa18a, 0x565b, 0xa186, 0x5657, 0xa182, - 0x5652, 0xa17e, 0x564d, 0xa179, 0x5649, 0xa175, 0x5644, 0xa171, - 0x5640, 0xa16d, 0x563b, 0xa168, 0x5636, 0xa164, 0x5632, 0xa160, - 0x562d, 0xa15c, 0x5628, 0xa157, 0x5624, 0xa153, 0x561f, 0xa14f, - 0x561a, 0xa14b, 0x5616, 0xa147, 0x5611, 0xa142, 0x560c, 0xa13e, - 0x5608, 0xa13a, 0x5603, 0xa136, 0x55fe, 0xa131, 0x55fa, 0xa12d, - 0x55f5, 0xa129, 0x55f0, 0xa125, 0x55ec, 0xa121, 0x55e7, 0xa11c, - 0x55e3, 0xa118, 0x55de, 0xa114, 0x55d9, 0xa110, 0x55d5, 0xa10b, - 0x55d0, 0xa107, 0x55cb, 0xa103, 0x55c7, 0xa0ff, 0x55c2, 0xa0fb, - 0x55bd, 0xa0f6, 0x55b9, 0xa0f2, 0x55b4, 0xa0ee, 0x55af, 0xa0ea, - 0x55ab, 0xa0e6, 0x55a6, 0xa0e1, 0x55a1, 0xa0dd, 0x559d, 0xa0d9, - 0x5598, 0xa0d5, 0x5593, 0xa0d1, 0x558f, 0xa0cc, 0x558a, 0xa0c8, - 0x5585, 0xa0c4, 0x5581, 0xa0c0, 0x557c, 0xa0bc, 0x5577, 0xa0b7, - 0x5572, 0xa0b3, 0x556e, 0xa0af, 0x5569, 0xa0ab, 0x5564, 0xa0a7, - 0x5560, 0xa0a2, 0x555b, 0xa09e, 0x5556, 0xa09a, 0x5552, 0xa096, - 0x554d, 0xa092, 0x5548, 0xa08e, 0x5544, 0xa089, 0x553f, 0xa085, - 0x553a, 0xa081, 0x5536, 0xa07d, 0x5531, 0xa079, 0x552c, 0xa074, - 0x5528, 0xa070, 0x5523, 0xa06c, 0x551e, 0xa068, 0x5519, 0xa064, - 0x5515, 0xa060, 0x5510, 0xa05b, 0x550b, 0xa057, 0x5507, 0xa053, - 0x5502, 0xa04f, 0x54fd, 0xa04b, 0x54f9, 0xa046, 0x54f4, 0xa042, - 0x54ef, 0xa03e, 0x54ea, 0xa03a, 0x54e6, 0xa036, 0x54e1, 0xa032, - 0x54dc, 0xa02d, 0x54d8, 0xa029, 0x54d3, 0xa025, 0x54ce, 0xa021, - 0x54ca, 0xa01d, 0x54c5, 0xa019, 0x54c0, 0xa014, 0x54bb, 0xa010, - 0x54b7, 0xa00c, 0x54b2, 0xa008, 0x54ad, 0xa004, 0x54a9, 0xa000, - 0x54a4, 0x9ffc, 0x549f, 0x9ff7, 0x549a, 0x9ff3, 0x5496, 0x9fef, - 0x5491, 0x9feb, 0x548c, 0x9fe7, 0x5488, 0x9fe3, 0x5483, 0x9fde, - 0x547e, 0x9fda, 0x5479, 0x9fd6, 0x5475, 0x9fd2, 0x5470, 0x9fce, - 0x546b, 0x9fca, 0x5467, 0x9fc6, 0x5462, 0x9fc1, 0x545d, 0x9fbd, - 0x5458, 0x9fb9, 0x5454, 0x9fb5, 0x544f, 0x9fb1, 0x544a, 0x9fad, - 0x5445, 0x9fa9, 0x5441, 0x9fa4, 0x543c, 0x9fa0, 0x5437, 0x9f9c, - 0x5433, 0x9f98, 0x542e, 0x9f94, 0x5429, 0x9f90, 0x5424, 0x9f8c, - 0x5420, 0x9f88, 0x541b, 0x9f83, 0x5416, 0x9f7f, 0x5411, 0x9f7b, - 0x540d, 0x9f77, 0x5408, 0x9f73, 0x5403, 0x9f6f, 0x53fe, 0x9f6b, - 0x53fa, 0x9f67, 0x53f5, 0x9f62, 0x53f0, 0x9f5e, 0x53eb, 0x9f5a, - 0x53e7, 0x9f56, 0x53e2, 0x9f52, 0x53dd, 0x9f4e, 0x53d8, 0x9f4a, - 0x53d4, 0x9f46, 0x53cf, 0x9f41, 0x53ca, 0x9f3d, 0x53c5, 0x9f39, - 0x53c1, 0x9f35, 0x53bc, 0x9f31, 0x53b7, 0x9f2d, 0x53b2, 0x9f29, - 0x53ae, 0x9f25, 0x53a9, 0x9f21, 0x53a4, 0x9f1c, 0x539f, 0x9f18, - 0x539b, 0x9f14, 0x5396, 0x9f10, 0x5391, 0x9f0c, 0x538c, 0x9f08, - 0x5388, 0x9f04, 0x5383, 0x9f00, 0x537e, 0x9efc, 0x5379, 0x9ef8, - 0x5375, 0x9ef3, 0x5370, 0x9eef, 0x536b, 0x9eeb, 0x5366, 0x9ee7, - 0x5362, 0x9ee3, 0x535d, 0x9edf, 0x5358, 0x9edb, 0x5353, 0x9ed7, - 0x534e, 0x9ed3, 0x534a, 0x9ecf, 0x5345, 0x9ecb, 0x5340, 0x9ec6, - 0x533b, 0x9ec2, 0x5337, 0x9ebe, 0x5332, 0x9eba, 0x532d, 0x9eb6, - 0x5328, 0x9eb2, 0x5323, 0x9eae, 0x531f, 0x9eaa, 0x531a, 0x9ea6, - 0x5315, 0x9ea2, 0x5310, 0x9e9e, 0x530c, 0x9e9a, 0x5307, 0x9e95, - 0x5302, 0x9e91, 0x52fd, 0x9e8d, 0x52f8, 0x9e89, 0x52f4, 0x9e85, - 0x52ef, 0x9e81, 0x52ea, 0x9e7d, 0x52e5, 0x9e79, 0x52e1, 0x9e75, - 0x52dc, 0x9e71, 0x52d7, 0x9e6d, 0x52d2, 0x9e69, 0x52cd, 0x9e65, - 0x52c9, 0x9e61, 0x52c4, 0x9e5d, 0x52bf, 0x9e58, 0x52ba, 0x9e54, - 0x52b5, 0x9e50, 0x52b1, 0x9e4c, 0x52ac, 0x9e48, 0x52a7, 0x9e44, - 0x52a2, 0x9e40, 0x529d, 0x9e3c, 0x5299, 0x9e38, 0x5294, 0x9e34, - 0x528f, 0x9e30, 0x528a, 0x9e2c, 0x5285, 0x9e28, 0x5281, 0x9e24, - 0x527c, 0x9e20, 0x5277, 0x9e1c, 0x5272, 0x9e18, 0x526d, 0x9e14, - 0x5269, 0x9e0f, 0x5264, 0x9e0b, 0x525f, 0x9e07, 0x525a, 0x9e03, - 0x5255, 0x9dff, 0x5251, 0x9dfb, 0x524c, 0x9df7, 0x5247, 0x9df3, - 0x5242, 0x9def, 0x523d, 0x9deb, 0x5238, 0x9de7, 0x5234, 0x9de3, - 0x522f, 0x9ddf, 0x522a, 0x9ddb, 0x5225, 0x9dd7, 0x5220, 0x9dd3, - 0x521c, 0x9dcf, 0x5217, 0x9dcb, 0x5212, 0x9dc7, 0x520d, 0x9dc3, - 0x5208, 0x9dbf, 0x5203, 0x9dbb, 0x51ff, 0x9db7, 0x51fa, 0x9db3, - 0x51f5, 0x9daf, 0x51f0, 0x9dab, 0x51eb, 0x9da7, 0x51e6, 0x9da3, - 0x51e2, 0x9d9f, 0x51dd, 0x9d9b, 0x51d8, 0x9d97, 0x51d3, 0x9d93, - 0x51ce, 0x9d8f, 0x51c9, 0x9d8b, 0x51c5, 0x9d86, 0x51c0, 0x9d82, - 0x51bb, 0x9d7e, 0x51b6, 0x9d7a, 0x51b1, 0x9d76, 0x51ac, 0x9d72, - 0x51a8, 0x9d6e, 0x51a3, 0x9d6a, 0x519e, 0x9d66, 0x5199, 0x9d62, - 0x5194, 0x9d5e, 0x518f, 0x9d5a, 0x518b, 0x9d56, 0x5186, 0x9d52, - 0x5181, 0x9d4e, 0x517c, 0x9d4a, 0x5177, 0x9d46, 0x5172, 0x9d42, - 0x516e, 0x9d3e, 0x5169, 0x9d3a, 0x5164, 0x9d36, 0x515f, 0x9d32, - 0x515a, 0x9d2e, 0x5155, 0x9d2a, 0x5150, 0x9d26, 0x514c, 0x9d22, - 0x5147, 0x9d1e, 0x5142, 0x9d1a, 0x513d, 0x9d16, 0x5138, 0x9d12, - 0x5133, 0x9d0e, 0x512e, 0x9d0b, 0x512a, 0x9d07, 0x5125, 0x9d03, - 0x5120, 0x9cff, 0x511b, 0x9cfb, 0x5116, 0x9cf7, 0x5111, 0x9cf3, - 0x510c, 0x9cef, 0x5108, 0x9ceb, 0x5103, 0x9ce7, 0x50fe, 0x9ce3, - 0x50f9, 0x9cdf, 0x50f4, 0x9cdb, 0x50ef, 0x9cd7, 0x50ea, 0x9cd3, - 0x50e5, 0x9ccf, 0x50e1, 0x9ccb, 0x50dc, 0x9cc7, 0x50d7, 0x9cc3, - 0x50d2, 0x9cbf, 0x50cd, 0x9cbb, 0x50c8, 0x9cb7, 0x50c3, 0x9cb3, - 0x50bf, 0x9caf, 0x50ba, 0x9cab, 0x50b5, 0x9ca7, 0x50b0, 0x9ca3, - 0x50ab, 0x9c9f, 0x50a6, 0x9c9b, 0x50a1, 0x9c97, 0x509c, 0x9c93, - 0x5097, 0x9c8f, 0x5093, 0x9c8b, 0x508e, 0x9c88, 0x5089, 0x9c84, - 0x5084, 0x9c80, 0x507f, 0x9c7c, 0x507a, 0x9c78, 0x5075, 0x9c74, - 0x5070, 0x9c70, 0x506c, 0x9c6c, 0x5067, 0x9c68, 0x5062, 0x9c64, - 0x505d, 0x9c60, 0x5058, 0x9c5c, 0x5053, 0x9c58, 0x504e, 0x9c54, - 0x5049, 0x9c50, 0x5044, 0x9c4c, 0x503f, 0x9c48, 0x503b, 0x9c44, - 0x5036, 0x9c40, 0x5031, 0x9c3d, 0x502c, 0x9c39, 0x5027, 0x9c35, - 0x5022, 0x9c31, 0x501d, 0x9c2d, 0x5018, 0x9c29, 0x5013, 0x9c25, - 0x500f, 0x9c21, 0x500a, 0x9c1d, 0x5005, 0x9c19, 0x5000, 0x9c15, - 0x4ffb, 0x9c11, 0x4ff6, 0x9c0d, 0x4ff1, 0x9c09, 0x4fec, 0x9c06, - 0x4fe7, 0x9c02, 0x4fe2, 0x9bfe, 0x4fdd, 0x9bfa, 0x4fd9, 0x9bf6, - 0x4fd4, 0x9bf2, 0x4fcf, 0x9bee, 0x4fca, 0x9bea, 0x4fc5, 0x9be6, - 0x4fc0, 0x9be2, 0x4fbb, 0x9bde, 0x4fb6, 0x9bda, 0x4fb1, 0x9bd7, - 0x4fac, 0x9bd3, 0x4fa7, 0x9bcf, 0x4fa2, 0x9bcb, 0x4f9e, 0x9bc7, - 0x4f99, 0x9bc3, 0x4f94, 0x9bbf, 0x4f8f, 0x9bbb, 0x4f8a, 0x9bb7, - 0x4f85, 0x9bb3, 0x4f80, 0x9baf, 0x4f7b, 0x9bac, 0x4f76, 0x9ba8, - 0x4f71, 0x9ba4, 0x4f6c, 0x9ba0, 0x4f67, 0x9b9c, 0x4f62, 0x9b98, - 0x4f5e, 0x9b94, 0x4f59, 0x9b90, 0x4f54, 0x9b8c, 0x4f4f, 0x9b88, - 0x4f4a, 0x9b85, 0x4f45, 0x9b81, 0x4f40, 0x9b7d, 0x4f3b, 0x9b79, - 0x4f36, 0x9b75, 0x4f31, 0x9b71, 0x4f2c, 0x9b6d, 0x4f27, 0x9b69, - 0x4f22, 0x9b65, 0x4f1d, 0x9b62, 0x4f18, 0x9b5e, 0x4f14, 0x9b5a, - 0x4f0f, 0x9b56, 0x4f0a, 0x9b52, 0x4f05, 0x9b4e, 0x4f00, 0x9b4a, - 0x4efb, 0x9b46, 0x4ef6, 0x9b43, 0x4ef1, 0x9b3f, 0x4eec, 0x9b3b, - 0x4ee7, 0x9b37, 0x4ee2, 0x9b33, 0x4edd, 0x9b2f, 0x4ed8, 0x9b2b, - 0x4ed3, 0x9b27, 0x4ece, 0x9b24, 0x4ec9, 0x9b20, 0x4ec4, 0x9b1c, - 0x4ebf, 0x9b18, 0x4eba, 0x9b14, 0x4eb6, 0x9b10, 0x4eb1, 0x9b0c, - 0x4eac, 0x9b09, 0x4ea7, 0x9b05, 0x4ea2, 0x9b01, 0x4e9d, 0x9afd, - 0x4e98, 0x9af9, 0x4e93, 0x9af5, 0x4e8e, 0x9af1, 0x4e89, 0x9aed, - 0x4e84, 0x9aea, 0x4e7f, 0x9ae6, 0x4e7a, 0x9ae2, 0x4e75, 0x9ade, - 0x4e70, 0x9ada, 0x4e6b, 0x9ad6, 0x4e66, 0x9ad3, 0x4e61, 0x9acf, - 0x4e5c, 0x9acb, 0x4e57, 0x9ac7, 0x4e52, 0x9ac3, 0x4e4d, 0x9abf, - 0x4e48, 0x9abb, 0x4e43, 0x9ab8, 0x4e3e, 0x9ab4, 0x4e39, 0x9ab0, - 0x4e34, 0x9aac, 0x4e2f, 0x9aa8, 0x4e2a, 0x9aa4, 0x4e26, 0x9aa1, - 0x4e21, 0x9a9d, 0x4e1c, 0x9a99, 0x4e17, 0x9a95, 0x4e12, 0x9a91, - 0x4e0d, 0x9a8d, 0x4e08, 0x9a8a, 0x4e03, 0x9a86, 0x4dfe, 0x9a82, - 0x4df9, 0x9a7e, 0x4df4, 0x9a7a, 0x4def, 0x9a76, 0x4dea, 0x9a73, - 0x4de5, 0x9a6f, 0x4de0, 0x9a6b, 0x4ddb, 0x9a67, 0x4dd6, 0x9a63, - 0x4dd1, 0x9a60, 0x4dcc, 0x9a5c, 0x4dc7, 0x9a58, 0x4dc2, 0x9a54, - 0x4dbd, 0x9a50, 0x4db8, 0x9a4c, 0x4db3, 0x9a49, 0x4dae, 0x9a45, - 0x4da9, 0x9a41, 0x4da4, 0x9a3d, 0x4d9f, 0x9a39, 0x4d9a, 0x9a36, - 0x4d95, 0x9a32, 0x4d90, 0x9a2e, 0x4d8b, 0x9a2a, 0x4d86, 0x9a26, - 0x4d81, 0x9a23, 0x4d7c, 0x9a1f, 0x4d77, 0x9a1b, 0x4d72, 0x9a17, - 0x4d6d, 0x9a13, 0x4d68, 0x9a10, 0x4d63, 0x9a0c, 0x4d5e, 0x9a08, - 0x4d59, 0x9a04, 0x4d54, 0x9a00, 0x4d4f, 0x99fd, 0x4d4a, 0x99f9, - 0x4d45, 0x99f5, 0x4d40, 0x99f1, 0x4d3b, 0x99ed, 0x4d36, 0x99ea, - 0x4d31, 0x99e6, 0x4d2c, 0x99e2, 0x4d27, 0x99de, 0x4d22, 0x99da, - 0x4d1d, 0x99d7, 0x4d18, 0x99d3, 0x4d13, 0x99cf, 0x4d0e, 0x99cb, - 0x4d09, 0x99c7, 0x4d04, 0x99c4, 0x4cff, 0x99c0, 0x4cfa, 0x99bc, - 0x4cf5, 0x99b8, 0x4cf0, 0x99b5, 0x4ceb, 0x99b1, 0x4ce6, 0x99ad, - 0x4ce1, 0x99a9, 0x4cdb, 0x99a5, 0x4cd6, 0x99a2, 0x4cd1, 0x999e, - 0x4ccc, 0x999a, 0x4cc7, 0x9996, 0x4cc2, 0x9993, 0x4cbd, 0x998f, - 0x4cb8, 0x998b, 0x4cb3, 0x9987, 0x4cae, 0x9984, 0x4ca9, 0x9980, - 0x4ca4, 0x997c, 0x4c9f, 0x9978, 0x4c9a, 0x9975, 0x4c95, 0x9971, - 0x4c90, 0x996d, 0x4c8b, 0x9969, 0x4c86, 0x9965, 0x4c81, 0x9962, - 0x4c7c, 0x995e, 0x4c77, 0x995a, 0x4c72, 0x9956, 0x4c6d, 0x9953, - 0x4c68, 0x994f, 0x4c63, 0x994b, 0x4c5e, 0x9947, 0x4c59, 0x9944, - 0x4c54, 0x9940, 0x4c4f, 0x993c, 0x4c49, 0x9938, 0x4c44, 0x9935, - 0x4c3f, 0x9931, 0x4c3a, 0x992d, 0x4c35, 0x992a, 0x4c30, 0x9926, - 0x4c2b, 0x9922, 0x4c26, 0x991e, 0x4c21, 0x991b, 0x4c1c, 0x9917, - 0x4c17, 0x9913, 0x4c12, 0x990f, 0x4c0d, 0x990c, 0x4c08, 0x9908, - 0x4c03, 0x9904, 0x4bfe, 0x9900, 0x4bf9, 0x98fd, 0x4bf4, 0x98f9, - 0x4bef, 0x98f5, 0x4be9, 0x98f2, 0x4be4, 0x98ee, 0x4bdf, 0x98ea, - 0x4bda, 0x98e6, 0x4bd5, 0x98e3, 0x4bd0, 0x98df, 0x4bcb, 0x98db, - 0x4bc6, 0x98d7, 0x4bc1, 0x98d4, 0x4bbc, 0x98d0, 0x4bb7, 0x98cc, - 0x4bb2, 0x98c9, 0x4bad, 0x98c5, 0x4ba8, 0x98c1, 0x4ba3, 0x98bd, - 0x4b9e, 0x98ba, 0x4b98, 0x98b6, 0x4b93, 0x98b2, 0x4b8e, 0x98af, - 0x4b89, 0x98ab, 0x4b84, 0x98a7, 0x4b7f, 0x98a3, 0x4b7a, 0x98a0, - 0x4b75, 0x989c, 0x4b70, 0x9898, 0x4b6b, 0x9895, 0x4b66, 0x9891, - 0x4b61, 0x988d, 0x4b5c, 0x988a, 0x4b56, 0x9886, 0x4b51, 0x9882, - 0x4b4c, 0x987e, 0x4b47, 0x987b, 0x4b42, 0x9877, 0x4b3d, 0x9873, - 0x4b38, 0x9870, 0x4b33, 0x986c, 0x4b2e, 0x9868, 0x4b29, 0x9865, - 0x4b24, 0x9861, 0x4b1f, 0x985d, 0x4b19, 0x985a, 0x4b14, 0x9856, - 0x4b0f, 0x9852, 0x4b0a, 0x984e, 0x4b05, 0x984b, 0x4b00, 0x9847, - 0x4afb, 0x9843, 0x4af6, 0x9840, 0x4af1, 0x983c, 0x4aec, 0x9838, - 0x4ae7, 0x9835, 0x4ae1, 0x9831, 0x4adc, 0x982d, 0x4ad7, 0x982a, - 0x4ad2, 0x9826, 0x4acd, 0x9822, 0x4ac8, 0x981f, 0x4ac3, 0x981b, - 0x4abe, 0x9817, 0x4ab9, 0x9814, 0x4ab4, 0x9810, 0x4aae, 0x980c, - 0x4aa9, 0x9809, 0x4aa4, 0x9805, 0x4a9f, 0x9801, 0x4a9a, 0x97fe, - 0x4a95, 0x97fa, 0x4a90, 0x97f6, 0x4a8b, 0x97f3, 0x4a86, 0x97ef, - 0x4a81, 0x97eb, 0x4a7b, 0x97e8, 0x4a76, 0x97e4, 0x4a71, 0x97e0, - 0x4a6c, 0x97dd, 0x4a67, 0x97d9, 0x4a62, 0x97d5, 0x4a5d, 0x97d2, - 0x4a58, 0x97ce, 0x4a52, 0x97cb, 0x4a4d, 0x97c7, 0x4a48, 0x97c3, - 0x4a43, 0x97c0, 0x4a3e, 0x97bc, 0x4a39, 0x97b8, 0x4a34, 0x97b5, - 0x4a2f, 0x97b1, 0x4a2a, 0x97ad, 0x4a24, 0x97aa, 0x4a1f, 0x97a6, - 0x4a1a, 0x97a2, 0x4a15, 0x979f, 0x4a10, 0x979b, 0x4a0b, 0x9798, - 0x4a06, 0x9794, 0x4a01, 0x9790, 0x49fb, 0x978d, 0x49f6, 0x9789, - 0x49f1, 0x9785, 0x49ec, 0x9782, 0x49e7, 0x977e, 0x49e2, 0x977a, - 0x49dd, 0x9777, 0x49d8, 0x9773, 0x49d2, 0x9770, 0x49cd, 0x976c, - 0x49c8, 0x9768, 0x49c3, 0x9765, 0x49be, 0x9761, 0x49b9, 0x975d, - 0x49b4, 0x975a, 0x49ae, 0x9756, 0x49a9, 0x9753, 0x49a4, 0x974f, - 0x499f, 0x974b, 0x499a, 0x9748, 0x4995, 0x9744, 0x4990, 0x9741, - 0x498a, 0x973d, 0x4985, 0x9739, 0x4980, 0x9736, 0x497b, 0x9732, - 0x4976, 0x972f, 0x4971, 0x972b, 0x496c, 0x9727, 0x4966, 0x9724, - 0x4961, 0x9720, 0x495c, 0x971d, 0x4957, 0x9719, 0x4952, 0x9715, - 0x494d, 0x9712, 0x4948, 0x970e, 0x4942, 0x970b, 0x493d, 0x9707, - 0x4938, 0x9703, 0x4933, 0x9700, 0x492e, 0x96fc, 0x4929, 0x96f9, - 0x4923, 0x96f5, 0x491e, 0x96f1, 0x4919, 0x96ee, 0x4914, 0x96ea, - 0x490f, 0x96e7, 0x490a, 0x96e3, 0x4905, 0x96df, 0x48ff, 0x96dc, - 0x48fa, 0x96d8, 0x48f5, 0x96d5, 0x48f0, 0x96d1, 0x48eb, 0x96ce, - 0x48e6, 0x96ca, 0x48e0, 0x96c6, 0x48db, 0x96c3, 0x48d6, 0x96bf, - 0x48d1, 0x96bc, 0x48cc, 0x96b8, 0x48c7, 0x96b5, 0x48c1, 0x96b1, - 0x48bc, 0x96ad, 0x48b7, 0x96aa, 0x48b2, 0x96a6, 0x48ad, 0x96a3, - 0x48a8, 0x969f, 0x48a2, 0x969c, 0x489d, 0x9698, 0x4898, 0x9694, - 0x4893, 0x9691, 0x488e, 0x968d, 0x4888, 0x968a, 0x4883, 0x9686, - 0x487e, 0x9683, 0x4879, 0x967f, 0x4874, 0x967b, 0x486f, 0x9678, - 0x4869, 0x9674, 0x4864, 0x9671, 0x485f, 0x966d, 0x485a, 0x966a, - 0x4855, 0x9666, 0x484f, 0x9663, 0x484a, 0x965f, 0x4845, 0x965b, - 0x4840, 0x9658, 0x483b, 0x9654, 0x4836, 0x9651, 0x4830, 0x964d, - 0x482b, 0x964a, 0x4826, 0x9646, 0x4821, 0x9643, 0x481c, 0x963f, - 0x4816, 0x963c, 0x4811, 0x9638, 0x480c, 0x9635, 0x4807, 0x9631, - 0x4802, 0x962d, 0x47fc, 0x962a, 0x47f7, 0x9626, 0x47f2, 0x9623, - 0x47ed, 0x961f, 0x47e8, 0x961c, 0x47e2, 0x9618, 0x47dd, 0x9615, - 0x47d8, 0x9611, 0x47d3, 0x960e, 0x47ce, 0x960a, 0x47c8, 0x9607, - 0x47c3, 0x9603, 0x47be, 0x9600, 0x47b9, 0x95fc, 0x47b4, 0x95f9, - 0x47ae, 0x95f5, 0x47a9, 0x95f2, 0x47a4, 0x95ee, 0x479f, 0x95ea, - 0x479a, 0x95e7, 0x4794, 0x95e3, 0x478f, 0x95e0, 0x478a, 0x95dc, - 0x4785, 0x95d9, 0x4780, 0x95d5, 0x477a, 0x95d2, 0x4775, 0x95ce, - 0x4770, 0x95cb, 0x476b, 0x95c7, 0x4765, 0x95c4, 0x4760, 0x95c0, - 0x475b, 0x95bd, 0x4756, 0x95b9, 0x4751, 0x95b6, 0x474b, 0x95b2, - 0x4746, 0x95af, 0x4741, 0x95ab, 0x473c, 0x95a8, 0x4737, 0x95a4, - 0x4731, 0x95a1, 0x472c, 0x959d, 0x4727, 0x959a, 0x4722, 0x9596, - 0x471c, 0x9593, 0x4717, 0x958f, 0x4712, 0x958c, 0x470d, 0x9588, - 0x4708, 0x9585, 0x4702, 0x9581, 0x46fd, 0x957e, 0x46f8, 0x957a, - 0x46f3, 0x9577, 0x46ed, 0x9574, 0x46e8, 0x9570, 0x46e3, 0x956d, - 0x46de, 0x9569, 0x46d8, 0x9566, 0x46d3, 0x9562, 0x46ce, 0x955f, - 0x46c9, 0x955b, 0x46c4, 0x9558, 0x46be, 0x9554, 0x46b9, 0x9551, - 0x46b4, 0x954d, 0x46af, 0x954a, 0x46a9, 0x9546, 0x46a4, 0x9543, - 0x469f, 0x953f, 0x469a, 0x953c, 0x4694, 0x9538, 0x468f, 0x9535, - 0x468a, 0x9532, 0x4685, 0x952e, 0x467f, 0x952b, 0x467a, 0x9527, - 0x4675, 0x9524, 0x4670, 0x9520, 0x466a, 0x951d, 0x4665, 0x9519, - 0x4660, 0x9516, 0x465b, 0x9512, 0x4655, 0x950f, 0x4650, 0x950c, - 0x464b, 0x9508, 0x4646, 0x9505, 0x4640, 0x9501, 0x463b, 0x94fe, - 0x4636, 0x94fa, 0x4631, 0x94f7, 0x462b, 0x94f3, 0x4626, 0x94f0, - 0x4621, 0x94ed, 0x461c, 0x94e9, 0x4616, 0x94e6, 0x4611, 0x94e2, - 0x460c, 0x94df, 0x4607, 0x94db, 0x4601, 0x94d8, 0x45fc, 0x94d4, - 0x45f7, 0x94d1, 0x45f2, 0x94ce, 0x45ec, 0x94ca, 0x45e7, 0x94c7, - 0x45e2, 0x94c3, 0x45dd, 0x94c0, 0x45d7, 0x94bc, 0x45d2, 0x94b9, - 0x45cd, 0x94b6, 0x45c7, 0x94b2, 0x45c2, 0x94af, 0x45bd, 0x94ab, - 0x45b8, 0x94a8, 0x45b2, 0x94a4, 0x45ad, 0x94a1, 0x45a8, 0x949e, - 0x45a3, 0x949a, 0x459d, 0x9497, 0x4598, 0x9493, 0x4593, 0x9490, - 0x458d, 0x948d, 0x4588, 0x9489, 0x4583, 0x9486, 0x457e, 0x9482, - 0x4578, 0x947f, 0x4573, 0x947b, 0x456e, 0x9478, 0x4569, 0x9475, - 0x4563, 0x9471, 0x455e, 0x946e, 0x4559, 0x946a, 0x4553, 0x9467, - 0x454e, 0x9464, 0x4549, 0x9460, 0x4544, 0x945d, 0x453e, 0x9459, - 0x4539, 0x9456, 0x4534, 0x9453, 0x452e, 0x944f, 0x4529, 0x944c, - 0x4524, 0x9448, 0x451f, 0x9445, 0x4519, 0x9442, 0x4514, 0x943e, - 0x450f, 0x943b, 0x4509, 0x9437, 0x4504, 0x9434, 0x44ff, 0x9431, - 0x44fa, 0x942d, 0x44f4, 0x942a, 0x44ef, 0x9427, 0x44ea, 0x9423, - 0x44e4, 0x9420, 0x44df, 0x941c, 0x44da, 0x9419, 0x44d4, 0x9416, - 0x44cf, 0x9412, 0x44ca, 0x940f, 0x44c5, 0x940b, 0x44bf, 0x9408, - 0x44ba, 0x9405, 0x44b5, 0x9401, 0x44af, 0x93fe, 0x44aa, 0x93fb, - 0x44a5, 0x93f7, 0x449f, 0x93f4, 0x449a, 0x93f1, 0x4495, 0x93ed, - 0x4490, 0x93ea, 0x448a, 0x93e6, 0x4485, 0x93e3, 0x4480, 0x93e0, - 0x447a, 0x93dc, 0x4475, 0x93d9, 0x4470, 0x93d6, 0x446a, 0x93d2, - 0x4465, 0x93cf, 0x4460, 0x93cc, 0x445a, 0x93c8, 0x4455, 0x93c5, - 0x4450, 0x93c1, 0x444b, 0x93be, 0x4445, 0x93bb, 0x4440, 0x93b7, - 0x443b, 0x93b4, 0x4435, 0x93b1, 0x4430, 0x93ad, 0x442b, 0x93aa, - 0x4425, 0x93a7, 0x4420, 0x93a3, 0x441b, 0x93a0, 0x4415, 0x939d, - 0x4410, 0x9399, 0x440b, 0x9396, 0x4405, 0x9393, 0x4400, 0x938f, - 0x43fb, 0x938c, 0x43f5, 0x9389, 0x43f0, 0x9385, 0x43eb, 0x9382, - 0x43e5, 0x937f, 0x43e0, 0x937b, 0x43db, 0x9378, 0x43d5, 0x9375, - 0x43d0, 0x9371, 0x43cb, 0x936e, 0x43c5, 0x936b, 0x43c0, 0x9367, - 0x43bb, 0x9364, 0x43b5, 0x9361, 0x43b0, 0x935d, 0x43ab, 0x935a, - 0x43a5, 0x9357, 0x43a0, 0x9353, 0x439b, 0x9350, 0x4395, 0x934d, - 0x4390, 0x9349, 0x438b, 0x9346, 0x4385, 0x9343, 0x4380, 0x933f, - 0x437b, 0x933c, 0x4375, 0x9339, 0x4370, 0x9336, 0x436b, 0x9332, - 0x4365, 0x932f, 0x4360, 0x932c, 0x435b, 0x9328, 0x4355, 0x9325, - 0x4350, 0x9322, 0x434b, 0x931e, 0x4345, 0x931b, 0x4340, 0x9318, - 0x433b, 0x9314, 0x4335, 0x9311, 0x4330, 0x930e, 0x432b, 0x930b, - 0x4325, 0x9307, 0x4320, 0x9304, 0x431b, 0x9301, 0x4315, 0x92fd, - 0x4310, 0x92fa, 0x430b, 0x92f7, 0x4305, 0x92f4, 0x4300, 0x92f0, - 0x42fa, 0x92ed, 0x42f5, 0x92ea, 0x42f0, 0x92e6, 0x42ea, 0x92e3, - 0x42e5, 0x92e0, 0x42e0, 0x92dd, 0x42da, 0x92d9, 0x42d5, 0x92d6, - 0x42d0, 0x92d3, 0x42ca, 0x92cf, 0x42c5, 0x92cc, 0x42c0, 0x92c9, - 0x42ba, 0x92c6, 0x42b5, 0x92c2, 0x42af, 0x92bf, 0x42aa, 0x92bc, - 0x42a5, 0x92b8, 0x429f, 0x92b5, 0x429a, 0x92b2, 0x4295, 0x92af, - 0x428f, 0x92ab, 0x428a, 0x92a8, 0x4284, 0x92a5, 0x427f, 0x92a2, - 0x427a, 0x929e, 0x4274, 0x929b, 0x426f, 0x9298, 0x426a, 0x9295, - 0x4264, 0x9291, 0x425f, 0x928e, 0x425a, 0x928b, 0x4254, 0x9288, - 0x424f, 0x9284, 0x4249, 0x9281, 0x4244, 0x927e, 0x423f, 0x927b, - 0x4239, 0x9277, 0x4234, 0x9274, 0x422f, 0x9271, 0x4229, 0x926e, - 0x4224, 0x926a, 0x421e, 0x9267, 0x4219, 0x9264, 0x4214, 0x9261, - 0x420e, 0x925d, 0x4209, 0x925a, 0x4203, 0x9257, 0x41fe, 0x9254, - 0x41f9, 0x9250, 0x41f3, 0x924d, 0x41ee, 0x924a, 0x41e9, 0x9247, - 0x41e3, 0x9243, 0x41de, 0x9240, 0x41d8, 0x923d, 0x41d3, 0x923a, - 0x41ce, 0x9236, 0x41c8, 0x9233, 0x41c3, 0x9230, 0x41bd, 0x922d, - 0x41b8, 0x922a, 0x41b3, 0x9226, 0x41ad, 0x9223, 0x41a8, 0x9220, - 0x41a2, 0x921d, 0x419d, 0x9219, 0x4198, 0x9216, 0x4192, 0x9213, - 0x418d, 0x9210, 0x4188, 0x920d, 0x4182, 0x9209, 0x417d, 0x9206, - 0x4177, 0x9203, 0x4172, 0x9200, 0x416d, 0x91fc, 0x4167, 0x91f9, - 0x4162, 0x91f6, 0x415c, 0x91f3, 0x4157, 0x91f0, 0x4152, 0x91ec, - 0x414c, 0x91e9, 0x4147, 0x91e6, 0x4141, 0x91e3, 0x413c, 0x91e0, - 0x4136, 0x91dc, 0x4131, 0x91d9, 0x412c, 0x91d6, 0x4126, 0x91d3, - 0x4121, 0x91d0, 0x411b, 0x91cc, 0x4116, 0x91c9, 0x4111, 0x91c6, - 0x410b, 0x91c3, 0x4106, 0x91c0, 0x4100, 0x91bc, 0x40fb, 0x91b9, - 0x40f6, 0x91b6, 0x40f0, 0x91b3, 0x40eb, 0x91b0, 0x40e5, 0x91ad, - 0x40e0, 0x91a9, 0x40da, 0x91a6, 0x40d5, 0x91a3, 0x40d0, 0x91a0, - 0x40ca, 0x919d, 0x40c5, 0x9199, 0x40bf, 0x9196, 0x40ba, 0x9193, - 0x40b5, 0x9190, 0x40af, 0x918d, 0x40aa, 0x918a, 0x40a4, 0x9186, - 0x409f, 0x9183, 0x4099, 0x9180, 0x4094, 0x917d, 0x408f, 0x917a, - 0x4089, 0x9177, 0x4084, 0x9173, 0x407e, 0x9170, 0x4079, 0x916d, - 0x4073, 0x916a, 0x406e, 0x9167, 0x4069, 0x9164, 0x4063, 0x9160, - 0x405e, 0x915d, 0x4058, 0x915a, 0x4053, 0x9157, 0x404d, 0x9154, - 0x4048, 0x9151, 0x4043, 0x914d, 0x403d, 0x914a, 0x4038, 0x9147, - 0x4032, 0x9144, 0x402d, 0x9141, 0x4027, 0x913e, 0x4022, 0x913a, - 0x401d, 0x9137, 0x4017, 0x9134, 0x4012, 0x9131, 0x400c, 0x912e, - 0x4007, 0x912b, 0x4001, 0x9128, 0x3ffc, 0x9124, 0x3ff6, 0x9121, - 0x3ff1, 0x911e, 0x3fec, 0x911b, 0x3fe6, 0x9118, 0x3fe1, 0x9115, - 0x3fdb, 0x9112, 0x3fd6, 0x910f, 0x3fd0, 0x910b, 0x3fcb, 0x9108, - 0x3fc5, 0x9105, 0x3fc0, 0x9102, 0x3fbb, 0x90ff, 0x3fb5, 0x90fc, - 0x3fb0, 0x90f9, 0x3faa, 0x90f5, 0x3fa5, 0x90f2, 0x3f9f, 0x90ef, - 0x3f9a, 0x90ec, 0x3f94, 0x90e9, 0x3f8f, 0x90e6, 0x3f89, 0x90e3, - 0x3f84, 0x90e0, 0x3f7f, 0x90dd, 0x3f79, 0x90d9, 0x3f74, 0x90d6, - 0x3f6e, 0x90d3, 0x3f69, 0x90d0, 0x3f63, 0x90cd, 0x3f5e, 0x90ca, - 0x3f58, 0x90c7, 0x3f53, 0x90c4, 0x3f4d, 0x90c1, 0x3f48, 0x90bd, - 0x3f43, 0x90ba, 0x3f3d, 0x90b7, 0x3f38, 0x90b4, 0x3f32, 0x90b1, - 0x3f2d, 0x90ae, 0x3f27, 0x90ab, 0x3f22, 0x90a8, 0x3f1c, 0x90a5, - 0x3f17, 0x90a1, 0x3f11, 0x909e, 0x3f0c, 0x909b, 0x3f06, 0x9098, - 0x3f01, 0x9095, 0x3efb, 0x9092, 0x3ef6, 0x908f, 0x3ef1, 0x908c, - 0x3eeb, 0x9089, 0x3ee6, 0x9086, 0x3ee0, 0x9083, 0x3edb, 0x907f, - 0x3ed5, 0x907c, 0x3ed0, 0x9079, 0x3eca, 0x9076, 0x3ec5, 0x9073, - 0x3ebf, 0x9070, 0x3eba, 0x906d, 0x3eb4, 0x906a, 0x3eaf, 0x9067, - 0x3ea9, 0x9064, 0x3ea4, 0x9061, 0x3e9e, 0x905e, 0x3e99, 0x905b, - 0x3e93, 0x9057, 0x3e8e, 0x9054, 0x3e88, 0x9051, 0x3e83, 0x904e, - 0x3e7d, 0x904b, 0x3e78, 0x9048, 0x3e73, 0x9045, 0x3e6d, 0x9042, - 0x3e68, 0x903f, 0x3e62, 0x903c, 0x3e5d, 0x9039, 0x3e57, 0x9036, - 0x3e52, 0x9033, 0x3e4c, 0x9030, 0x3e47, 0x902d, 0x3e41, 0x902a, - 0x3e3c, 0x9026, 0x3e36, 0x9023, 0x3e31, 0x9020, 0x3e2b, 0x901d, - 0x3e26, 0x901a, 0x3e20, 0x9017, 0x3e1b, 0x9014, 0x3e15, 0x9011, - 0x3e10, 0x900e, 0x3e0a, 0x900b, 0x3e05, 0x9008, 0x3dff, 0x9005, - 0x3dfa, 0x9002, 0x3df4, 0x8fff, 0x3def, 0x8ffc, 0x3de9, 0x8ff9, - 0x3de4, 0x8ff6, 0x3dde, 0x8ff3, 0x3dd9, 0x8ff0, 0x3dd3, 0x8fed, - 0x3dce, 0x8fea, 0x3dc8, 0x8fe7, 0x3dc3, 0x8fe3, 0x3dbd, 0x8fe0, - 0x3db8, 0x8fdd, 0x3db2, 0x8fda, 0x3dad, 0x8fd7, 0x3da7, 0x8fd4, - 0x3da2, 0x8fd1, 0x3d9c, 0x8fce, 0x3d97, 0x8fcb, 0x3d91, 0x8fc8, - 0x3d8c, 0x8fc5, 0x3d86, 0x8fc2, 0x3d81, 0x8fbf, 0x3d7b, 0x8fbc, - 0x3d76, 0x8fb9, 0x3d70, 0x8fb6, 0x3d6b, 0x8fb3, 0x3d65, 0x8fb0, - 0x3d60, 0x8fad, 0x3d5a, 0x8faa, 0x3d55, 0x8fa7, 0x3d4f, 0x8fa4, - 0x3d49, 0x8fa1, 0x3d44, 0x8f9e, 0x3d3e, 0x8f9b, 0x3d39, 0x8f98, - 0x3d33, 0x8f95, 0x3d2e, 0x8f92, 0x3d28, 0x8f8f, 0x3d23, 0x8f8c, - 0x3d1d, 0x8f89, 0x3d18, 0x8f86, 0x3d12, 0x8f83, 0x3d0d, 0x8f80, - 0x3d07, 0x8f7d, 0x3d02, 0x8f7a, 0x3cfc, 0x8f77, 0x3cf7, 0x8f74, - 0x3cf1, 0x8f71, 0x3cec, 0x8f6e, 0x3ce6, 0x8f6b, 0x3ce1, 0x8f68, - 0x3cdb, 0x8f65, 0x3cd6, 0x8f62, 0x3cd0, 0x8f5f, 0x3cca, 0x8f5c, - 0x3cc5, 0x8f59, 0x3cbf, 0x8f56, 0x3cba, 0x8f53, 0x3cb4, 0x8f50, - 0x3caf, 0x8f4d, 0x3ca9, 0x8f4a, 0x3ca4, 0x8f47, 0x3c9e, 0x8f44, - 0x3c99, 0x8f41, 0x3c93, 0x8f3e, 0x3c8e, 0x8f3b, 0x3c88, 0x8f38, - 0x3c83, 0x8f35, 0x3c7d, 0x8f32, 0x3c77, 0x8f2f, 0x3c72, 0x8f2d, - 0x3c6c, 0x8f2a, 0x3c67, 0x8f27, 0x3c61, 0x8f24, 0x3c5c, 0x8f21, - 0x3c56, 0x8f1e, 0x3c51, 0x8f1b, 0x3c4b, 0x8f18, 0x3c46, 0x8f15, - 0x3c40, 0x8f12, 0x3c3b, 0x8f0f, 0x3c35, 0x8f0c, 0x3c2f, 0x8f09, - 0x3c2a, 0x8f06, 0x3c24, 0x8f03, 0x3c1f, 0x8f00, 0x3c19, 0x8efd, - 0x3c14, 0x8efa, 0x3c0e, 0x8ef7, 0x3c09, 0x8ef4, 0x3c03, 0x8ef1, - 0x3bfd, 0x8eee, 0x3bf8, 0x8eec, 0x3bf2, 0x8ee9, 0x3bed, 0x8ee6, - 0x3be7, 0x8ee3, 0x3be2, 0x8ee0, 0x3bdc, 0x8edd, 0x3bd7, 0x8eda, - 0x3bd1, 0x8ed7, 0x3bcc, 0x8ed4, 0x3bc6, 0x8ed1, 0x3bc0, 0x8ece, - 0x3bbb, 0x8ecb, 0x3bb5, 0x8ec8, 0x3bb0, 0x8ec5, 0x3baa, 0x8ec2, - 0x3ba5, 0x8ebf, 0x3b9f, 0x8ebd, 0x3b99, 0x8eba, 0x3b94, 0x8eb7, - 0x3b8e, 0x8eb4, 0x3b89, 0x8eb1, 0x3b83, 0x8eae, 0x3b7e, 0x8eab, - 0x3b78, 0x8ea8, 0x3b73, 0x8ea5, 0x3b6d, 0x8ea2, 0x3b67, 0x8e9f, - 0x3b62, 0x8e9c, 0x3b5c, 0x8e99, 0x3b57, 0x8e97, 0x3b51, 0x8e94, - 0x3b4c, 0x8e91, 0x3b46, 0x8e8e, 0x3b40, 0x8e8b, 0x3b3b, 0x8e88, - 0x3b35, 0x8e85, 0x3b30, 0x8e82, 0x3b2a, 0x8e7f, 0x3b25, 0x8e7c, - 0x3b1f, 0x8e7a, 0x3b19, 0x8e77, 0x3b14, 0x8e74, 0x3b0e, 0x8e71, - 0x3b09, 0x8e6e, 0x3b03, 0x8e6b, 0x3afe, 0x8e68, 0x3af8, 0x8e65, - 0x3af2, 0x8e62, 0x3aed, 0x8e5f, 0x3ae7, 0x8e5d, 0x3ae2, 0x8e5a, - 0x3adc, 0x8e57, 0x3ad7, 0x8e54, 0x3ad1, 0x8e51, 0x3acb, 0x8e4e, - 0x3ac6, 0x8e4b, 0x3ac0, 0x8e48, 0x3abb, 0x8e45, 0x3ab5, 0x8e43, - 0x3aaf, 0x8e40, 0x3aaa, 0x8e3d, 0x3aa4, 0x8e3a, 0x3a9f, 0x8e37, - 0x3a99, 0x8e34, 0x3a94, 0x8e31, 0x3a8e, 0x8e2e, 0x3a88, 0x8e2c, - 0x3a83, 0x8e29, 0x3a7d, 0x8e26, 0x3a78, 0x8e23, 0x3a72, 0x8e20, - 0x3a6c, 0x8e1d, 0x3a67, 0x8e1a, 0x3a61, 0x8e17, 0x3a5c, 0x8e15, - 0x3a56, 0x8e12, 0x3a50, 0x8e0f, 0x3a4b, 0x8e0c, 0x3a45, 0x8e09, - 0x3a40, 0x8e06, 0x3a3a, 0x8e03, 0x3a34, 0x8e01, 0x3a2f, 0x8dfe, - 0x3a29, 0x8dfb, 0x3a24, 0x8df8, 0x3a1e, 0x8df5, 0x3a19, 0x8df2, - 0x3a13, 0x8def, 0x3a0d, 0x8ded, 0x3a08, 0x8dea, 0x3a02, 0x8de7, - 0x39fd, 0x8de4, 0x39f7, 0x8de1, 0x39f1, 0x8dde, 0x39ec, 0x8ddc, - 0x39e6, 0x8dd9, 0x39e0, 0x8dd6, 0x39db, 0x8dd3, 0x39d5, 0x8dd0, - 0x39d0, 0x8dcd, 0x39ca, 0x8dca, 0x39c4, 0x8dc8, 0x39bf, 0x8dc5, - 0x39b9, 0x8dc2, 0x39b4, 0x8dbf, 0x39ae, 0x8dbc, 0x39a8, 0x8db9, - 0x39a3, 0x8db7, 0x399d, 0x8db4, 0x3998, 0x8db1, 0x3992, 0x8dae, - 0x398c, 0x8dab, 0x3987, 0x8da9, 0x3981, 0x8da6, 0x397c, 0x8da3, - 0x3976, 0x8da0, 0x3970, 0x8d9d, 0x396b, 0x8d9a, 0x3965, 0x8d98, - 0x395f, 0x8d95, 0x395a, 0x8d92, 0x3954, 0x8d8f, 0x394f, 0x8d8c, - 0x3949, 0x8d8a, 0x3943, 0x8d87, 0x393e, 0x8d84, 0x3938, 0x8d81, - 0x3932, 0x8d7e, 0x392d, 0x8d7b, 0x3927, 0x8d79, 0x3922, 0x8d76, - 0x391c, 0x8d73, 0x3916, 0x8d70, 0x3911, 0x8d6d, 0x390b, 0x8d6b, - 0x3906, 0x8d68, 0x3900, 0x8d65, 0x38fa, 0x8d62, 0x38f5, 0x8d5f, - 0x38ef, 0x8d5d, 0x38e9, 0x8d5a, 0x38e4, 0x8d57, 0x38de, 0x8d54, - 0x38d8, 0x8d51, 0x38d3, 0x8d4f, 0x38cd, 0x8d4c, 0x38c8, 0x8d49, - 0x38c2, 0x8d46, 0x38bc, 0x8d44, 0x38b7, 0x8d41, 0x38b1, 0x8d3e, - 0x38ab, 0x8d3b, 0x38a6, 0x8d38, 0x38a0, 0x8d36, 0x389b, 0x8d33, - 0x3895, 0x8d30, 0x388f, 0x8d2d, 0x388a, 0x8d2b, 0x3884, 0x8d28, - 0x387e, 0x8d25, 0x3879, 0x8d22, 0x3873, 0x8d1f, 0x386d, 0x8d1d, - 0x3868, 0x8d1a, 0x3862, 0x8d17, 0x385d, 0x8d14, 0x3857, 0x8d12, - 0x3851, 0x8d0f, 0x384c, 0x8d0c, 0x3846, 0x8d09, 0x3840, 0x8d07, - 0x383b, 0x8d04, 0x3835, 0x8d01, 0x382f, 0x8cfe, 0x382a, 0x8cfb, - 0x3824, 0x8cf9, 0x381e, 0x8cf6, 0x3819, 0x8cf3, 0x3813, 0x8cf0, - 0x380d, 0x8cee, 0x3808, 0x8ceb, 0x3802, 0x8ce8, 0x37fd, 0x8ce5, - 0x37f7, 0x8ce3, 0x37f1, 0x8ce0, 0x37ec, 0x8cdd, 0x37e6, 0x8cda, - 0x37e0, 0x8cd8, 0x37db, 0x8cd5, 0x37d5, 0x8cd2, 0x37cf, 0x8cd0, - 0x37ca, 0x8ccd, 0x37c4, 0x8cca, 0x37be, 0x8cc7, 0x37b9, 0x8cc5, - 0x37b3, 0x8cc2, 0x37ad, 0x8cbf, 0x37a8, 0x8cbc, 0x37a2, 0x8cba, - 0x379c, 0x8cb7, 0x3797, 0x8cb4, 0x3791, 0x8cb1, 0x378b, 0x8caf, - 0x3786, 0x8cac, 0x3780, 0x8ca9, 0x377a, 0x8ca7, 0x3775, 0x8ca4, - 0x376f, 0x8ca1, 0x3769, 0x8c9e, 0x3764, 0x8c9c, 0x375e, 0x8c99, - 0x3758, 0x8c96, 0x3753, 0x8c94, 0x374d, 0x8c91, 0x3747, 0x8c8e, - 0x3742, 0x8c8b, 0x373c, 0x8c89, 0x3736, 0x8c86, 0x3731, 0x8c83, - 0x372b, 0x8c81, 0x3725, 0x8c7e, 0x3720, 0x8c7b, 0x371a, 0x8c78, - 0x3714, 0x8c76, 0x370f, 0x8c73, 0x3709, 0x8c70, 0x3703, 0x8c6e, - 0x36fe, 0x8c6b, 0x36f8, 0x8c68, 0x36f2, 0x8c65, 0x36ed, 0x8c63, - 0x36e7, 0x8c60, 0x36e1, 0x8c5d, 0x36dc, 0x8c5b, 0x36d6, 0x8c58, - 0x36d0, 0x8c55, 0x36cb, 0x8c53, 0x36c5, 0x8c50, 0x36bf, 0x8c4d, - 0x36ba, 0x8c4b, 0x36b4, 0x8c48, 0x36ae, 0x8c45, 0x36a9, 0x8c43, - 0x36a3, 0x8c40, 0x369d, 0x8c3d, 0x3698, 0x8c3a, 0x3692, 0x8c38, - 0x368c, 0x8c35, 0x3686, 0x8c32, 0x3681, 0x8c30, 0x367b, 0x8c2d, - 0x3675, 0x8c2a, 0x3670, 0x8c28, 0x366a, 0x8c25, 0x3664, 0x8c22, - 0x365f, 0x8c20, 0x3659, 0x8c1d, 0x3653, 0x8c1a, 0x364e, 0x8c18, - 0x3648, 0x8c15, 0x3642, 0x8c12, 0x363d, 0x8c10, 0x3637, 0x8c0d, - 0x3631, 0x8c0a, 0x362b, 0x8c08, 0x3626, 0x8c05, 0x3620, 0x8c02, - 0x361a, 0x8c00, 0x3615, 0x8bfd, 0x360f, 0x8bfa, 0x3609, 0x8bf8, - 0x3604, 0x8bf5, 0x35fe, 0x8bf3, 0x35f8, 0x8bf0, 0x35f3, 0x8bed, - 0x35ed, 0x8beb, 0x35e7, 0x8be8, 0x35e1, 0x8be5, 0x35dc, 0x8be3, - 0x35d6, 0x8be0, 0x35d0, 0x8bdd, 0x35cb, 0x8bdb, 0x35c5, 0x8bd8, - 0x35bf, 0x8bd5, 0x35ba, 0x8bd3, 0x35b4, 0x8bd0, 0x35ae, 0x8bce, - 0x35a8, 0x8bcb, 0x35a3, 0x8bc8, 0x359d, 0x8bc6, 0x3597, 0x8bc3, - 0x3592, 0x8bc0, 0x358c, 0x8bbe, 0x3586, 0x8bbb, 0x3580, 0x8bb8, - 0x357b, 0x8bb6, 0x3575, 0x8bb3, 0x356f, 0x8bb1, 0x356a, 0x8bae, - 0x3564, 0x8bab, 0x355e, 0x8ba9, 0x3558, 0x8ba6, 0x3553, 0x8ba4, - 0x354d, 0x8ba1, 0x3547, 0x8b9e, 0x3542, 0x8b9c, 0x353c, 0x8b99, - 0x3536, 0x8b96, 0x3530, 0x8b94, 0x352b, 0x8b91, 0x3525, 0x8b8f, - 0x351f, 0x8b8c, 0x351a, 0x8b89, 0x3514, 0x8b87, 0x350e, 0x8b84, - 0x3508, 0x8b82, 0x3503, 0x8b7f, 0x34fd, 0x8b7c, 0x34f7, 0x8b7a, - 0x34f2, 0x8b77, 0x34ec, 0x8b75, 0x34e6, 0x8b72, 0x34e0, 0x8b6f, - 0x34db, 0x8b6d, 0x34d5, 0x8b6a, 0x34cf, 0x8b68, 0x34ca, 0x8b65, - 0x34c4, 0x8b62, 0x34be, 0x8b60, 0x34b8, 0x8b5d, 0x34b3, 0x8b5b, - 0x34ad, 0x8b58, 0x34a7, 0x8b55, 0x34a1, 0x8b53, 0x349c, 0x8b50, - 0x3496, 0x8b4e, 0x3490, 0x8b4b, 0x348b, 0x8b49, 0x3485, 0x8b46, - 0x347f, 0x8b43, 0x3479, 0x8b41, 0x3474, 0x8b3e, 0x346e, 0x8b3c, - 0x3468, 0x8b39, 0x3462, 0x8b37, 0x345d, 0x8b34, 0x3457, 0x8b31, - 0x3451, 0x8b2f, 0x344b, 0x8b2c, 0x3446, 0x8b2a, 0x3440, 0x8b27, - 0x343a, 0x8b25, 0x3435, 0x8b22, 0x342f, 0x8b1f, 0x3429, 0x8b1d, - 0x3423, 0x8b1a, 0x341e, 0x8b18, 0x3418, 0x8b15, 0x3412, 0x8b13, - 0x340c, 0x8b10, 0x3407, 0x8b0e, 0x3401, 0x8b0b, 0x33fb, 0x8b08, - 0x33f5, 0x8b06, 0x33f0, 0x8b03, 0x33ea, 0x8b01, 0x33e4, 0x8afe, - 0x33de, 0x8afc, 0x33d9, 0x8af9, 0x33d3, 0x8af7, 0x33cd, 0x8af4, - 0x33c7, 0x8af1, 0x33c2, 0x8aef, 0x33bc, 0x8aec, 0x33b6, 0x8aea, - 0x33b0, 0x8ae7, 0x33ab, 0x8ae5, 0x33a5, 0x8ae2, 0x339f, 0x8ae0, - 0x3399, 0x8add, 0x3394, 0x8adb, 0x338e, 0x8ad8, 0x3388, 0x8ad6, - 0x3382, 0x8ad3, 0x337d, 0x8ad1, 0x3377, 0x8ace, 0x3371, 0x8acb, - 0x336b, 0x8ac9, 0x3366, 0x8ac6, 0x3360, 0x8ac4, 0x335a, 0x8ac1, - 0x3354, 0x8abf, 0x334f, 0x8abc, 0x3349, 0x8aba, 0x3343, 0x8ab7, - 0x333d, 0x8ab5, 0x3338, 0x8ab2, 0x3332, 0x8ab0, 0x332c, 0x8aad, - 0x3326, 0x8aab, 0x3321, 0x8aa8, 0x331b, 0x8aa6, 0x3315, 0x8aa3, - 0x330f, 0x8aa1, 0x330a, 0x8a9e, 0x3304, 0x8a9c, 0x32fe, 0x8a99, - 0x32f8, 0x8a97, 0x32f3, 0x8a94, 0x32ed, 0x8a92, 0x32e7, 0x8a8f, - 0x32e1, 0x8a8d, 0x32db, 0x8a8a, 0x32d6, 0x8a88, 0x32d0, 0x8a85, - 0x32ca, 0x8a83, 0x32c4, 0x8a80, 0x32bf, 0x8a7e, 0x32b9, 0x8a7b, - 0x32b3, 0x8a79, 0x32ad, 0x8a76, 0x32a8, 0x8a74, 0x32a2, 0x8a71, - 0x329c, 0x8a6f, 0x3296, 0x8a6c, 0x3290, 0x8a6a, 0x328b, 0x8a67, - 0x3285, 0x8a65, 0x327f, 0x8a62, 0x3279, 0x8a60, 0x3274, 0x8a5d, - 0x326e, 0x8a5b, 0x3268, 0x8a59, 0x3262, 0x8a56, 0x325d, 0x8a54, - 0x3257, 0x8a51, 0x3251, 0x8a4f, 0x324b, 0x8a4c, 0x3245, 0x8a4a, - 0x3240, 0x8a47, 0x323a, 0x8a45, 0x3234, 0x8a42, 0x322e, 0x8a40, - 0x3228, 0x8a3d, 0x3223, 0x8a3b, 0x321d, 0x8a38, 0x3217, 0x8a36, - 0x3211, 0x8a34, 0x320c, 0x8a31, 0x3206, 0x8a2f, 0x3200, 0x8a2c, - 0x31fa, 0x8a2a, 0x31f4, 0x8a27, 0x31ef, 0x8a25, 0x31e9, 0x8a22, - 0x31e3, 0x8a20, 0x31dd, 0x8a1d, 0x31d8, 0x8a1b, 0x31d2, 0x8a19, - 0x31cc, 0x8a16, 0x31c6, 0x8a14, 0x31c0, 0x8a11, 0x31bb, 0x8a0f, - 0x31b5, 0x8a0c, 0x31af, 0x8a0a, 0x31a9, 0x8a07, 0x31a3, 0x8a05, - 0x319e, 0x8a03, 0x3198, 0x8a00, 0x3192, 0x89fe, 0x318c, 0x89fb, - 0x3186, 0x89f9, 0x3181, 0x89f6, 0x317b, 0x89f4, 0x3175, 0x89f2, - 0x316f, 0x89ef, 0x3169, 0x89ed, 0x3164, 0x89ea, 0x315e, 0x89e8, - 0x3158, 0x89e5, 0x3152, 0x89e3, 0x314c, 0x89e1, 0x3147, 0x89de, - 0x3141, 0x89dc, 0x313b, 0x89d9, 0x3135, 0x89d7, 0x312f, 0x89d5, - 0x312a, 0x89d2, 0x3124, 0x89d0, 0x311e, 0x89cd, 0x3118, 0x89cb, - 0x3112, 0x89c8, 0x310d, 0x89c6, 0x3107, 0x89c4, 0x3101, 0x89c1, - 0x30fb, 0x89bf, 0x30f5, 0x89bc, 0x30f0, 0x89ba, 0x30ea, 0x89b8, - 0x30e4, 0x89b5, 0x30de, 0x89b3, 0x30d8, 0x89b0, 0x30d3, 0x89ae, - 0x30cd, 0x89ac, 0x30c7, 0x89a9, 0x30c1, 0x89a7, 0x30bb, 0x89a4, - 0x30b6, 0x89a2, 0x30b0, 0x89a0, 0x30aa, 0x899d, 0x30a4, 0x899b, - 0x309e, 0x8998, 0x3099, 0x8996, 0x3093, 0x8994, 0x308d, 0x8991, - 0x3087, 0x898f, 0x3081, 0x898d, 0x307b, 0x898a, 0x3076, 0x8988, - 0x3070, 0x8985, 0x306a, 0x8983, 0x3064, 0x8981, 0x305e, 0x897e, - 0x3059, 0x897c, 0x3053, 0x897a, 0x304d, 0x8977, 0x3047, 0x8975, - 0x3041, 0x8972, 0x303b, 0x8970, 0x3036, 0x896e, 0x3030, 0x896b, - 0x302a, 0x8969, 0x3024, 0x8967, 0x301e, 0x8964, 0x3019, 0x8962, - 0x3013, 0x8960, 0x300d, 0x895d, 0x3007, 0x895b, 0x3001, 0x8958, - 0x2ffb, 0x8956, 0x2ff6, 0x8954, 0x2ff0, 0x8951, 0x2fea, 0x894f, - 0x2fe4, 0x894d, 0x2fde, 0x894a, 0x2fd8, 0x8948, 0x2fd3, 0x8946, - 0x2fcd, 0x8943, 0x2fc7, 0x8941, 0x2fc1, 0x893f, 0x2fbb, 0x893c, - 0x2fb5, 0x893a, 0x2fb0, 0x8938, 0x2faa, 0x8935, 0x2fa4, 0x8933, - 0x2f9e, 0x8931, 0x2f98, 0x892e, 0x2f92, 0x892c, 0x2f8d, 0x892a, - 0x2f87, 0x8927, 0x2f81, 0x8925, 0x2f7b, 0x8923, 0x2f75, 0x8920, - 0x2f6f, 0x891e, 0x2f6a, 0x891c, 0x2f64, 0x8919, 0x2f5e, 0x8917, - 0x2f58, 0x8915, 0x2f52, 0x8912, 0x2f4c, 0x8910, 0x2f47, 0x890e, - 0x2f41, 0x890b, 0x2f3b, 0x8909, 0x2f35, 0x8907, 0x2f2f, 0x8904, - 0x2f29, 0x8902, 0x2f24, 0x8900, 0x2f1e, 0x88fd, 0x2f18, 0x88fb, - 0x2f12, 0x88f9, 0x2f0c, 0x88f6, 0x2f06, 0x88f4, 0x2f01, 0x88f2, - 0x2efb, 0x88f0, 0x2ef5, 0x88ed, 0x2eef, 0x88eb, 0x2ee9, 0x88e9, - 0x2ee3, 0x88e6, 0x2edd, 0x88e4, 0x2ed8, 0x88e2, 0x2ed2, 0x88df, - 0x2ecc, 0x88dd, 0x2ec6, 0x88db, 0x2ec0, 0x88d9, 0x2eba, 0x88d6, - 0x2eb5, 0x88d4, 0x2eaf, 0x88d2, 0x2ea9, 0x88cf, 0x2ea3, 0x88cd, - 0x2e9d, 0x88cb, 0x2e97, 0x88c8, 0x2e91, 0x88c6, 0x2e8c, 0x88c4, - 0x2e86, 0x88c2, 0x2e80, 0x88bf, 0x2e7a, 0x88bd, 0x2e74, 0x88bb, - 0x2e6e, 0x88b9, 0x2e68, 0x88b6, 0x2e63, 0x88b4, 0x2e5d, 0x88b2, - 0x2e57, 0x88af, 0x2e51, 0x88ad, 0x2e4b, 0x88ab, 0x2e45, 0x88a9, - 0x2e3f, 0x88a6, 0x2e3a, 0x88a4, 0x2e34, 0x88a2, 0x2e2e, 0x88a0, - 0x2e28, 0x889d, 0x2e22, 0x889b, 0x2e1c, 0x8899, 0x2e16, 0x8896, - 0x2e11, 0x8894, 0x2e0b, 0x8892, 0x2e05, 0x8890, 0x2dff, 0x888d, - 0x2df9, 0x888b, 0x2df3, 0x8889, 0x2ded, 0x8887, 0x2de7, 0x8884, - 0x2de2, 0x8882, 0x2ddc, 0x8880, 0x2dd6, 0x887e, 0x2dd0, 0x887b, - 0x2dca, 0x8879, 0x2dc4, 0x8877, 0x2dbe, 0x8875, 0x2db9, 0x8872, - 0x2db3, 0x8870, 0x2dad, 0x886e, 0x2da7, 0x886c, 0x2da1, 0x8869, - 0x2d9b, 0x8867, 0x2d95, 0x8865, 0x2d8f, 0x8863, 0x2d8a, 0x8860, - 0x2d84, 0x885e, 0x2d7e, 0x885c, 0x2d78, 0x885a, 0x2d72, 0x8858, - 0x2d6c, 0x8855, 0x2d66, 0x8853, 0x2d60, 0x8851, 0x2d5b, 0x884f, - 0x2d55, 0x884c, 0x2d4f, 0x884a, 0x2d49, 0x8848, 0x2d43, 0x8846, - 0x2d3d, 0x8844, 0x2d37, 0x8841, 0x2d31, 0x883f, 0x2d2c, 0x883d, - 0x2d26, 0x883b, 0x2d20, 0x8838, 0x2d1a, 0x8836, 0x2d14, 0x8834, - 0x2d0e, 0x8832, 0x2d08, 0x8830, 0x2d02, 0x882d, 0x2cfd, 0x882b, - 0x2cf7, 0x8829, 0x2cf1, 0x8827, 0x2ceb, 0x8825, 0x2ce5, 0x8822, - 0x2cdf, 0x8820, 0x2cd9, 0x881e, 0x2cd3, 0x881c, 0x2ccd, 0x881a, - 0x2cc8, 0x8817, 0x2cc2, 0x8815, 0x2cbc, 0x8813, 0x2cb6, 0x8811, - 0x2cb0, 0x880f, 0x2caa, 0x880c, 0x2ca4, 0x880a, 0x2c9e, 0x8808, - 0x2c98, 0x8806, 0x2c93, 0x8804, 0x2c8d, 0x8801, 0x2c87, 0x87ff, - 0x2c81, 0x87fd, 0x2c7b, 0x87fb, 0x2c75, 0x87f9, 0x2c6f, 0x87f6, - 0x2c69, 0x87f4, 0x2c63, 0x87f2, 0x2c5e, 0x87f0, 0x2c58, 0x87ee, - 0x2c52, 0x87ec, 0x2c4c, 0x87e9, 0x2c46, 0x87e7, 0x2c40, 0x87e5, - 0x2c3a, 0x87e3, 0x2c34, 0x87e1, 0x2c2e, 0x87df, 0x2c29, 0x87dc, - 0x2c23, 0x87da, 0x2c1d, 0x87d8, 0x2c17, 0x87d6, 0x2c11, 0x87d4, - 0x2c0b, 0x87d2, 0x2c05, 0x87cf, 0x2bff, 0x87cd, 0x2bf9, 0x87cb, - 0x2bf3, 0x87c9, 0x2bee, 0x87c7, 0x2be8, 0x87c5, 0x2be2, 0x87c2, - 0x2bdc, 0x87c0, 0x2bd6, 0x87be, 0x2bd0, 0x87bc, 0x2bca, 0x87ba, - 0x2bc4, 0x87b8, 0x2bbe, 0x87b6, 0x2bb8, 0x87b3, 0x2bb2, 0x87b1, - 0x2bad, 0x87af, 0x2ba7, 0x87ad, 0x2ba1, 0x87ab, 0x2b9b, 0x87a9, - 0x2b95, 0x87a7, 0x2b8f, 0x87a4, 0x2b89, 0x87a2, 0x2b83, 0x87a0, - 0x2b7d, 0x879e, 0x2b77, 0x879c, 0x2b71, 0x879a, 0x2b6c, 0x8798, - 0x2b66, 0x8795, 0x2b60, 0x8793, 0x2b5a, 0x8791, 0x2b54, 0x878f, - 0x2b4e, 0x878d, 0x2b48, 0x878b, 0x2b42, 0x8789, 0x2b3c, 0x8787, - 0x2b36, 0x8784, 0x2b30, 0x8782, 0x2b2b, 0x8780, 0x2b25, 0x877e, - 0x2b1f, 0x877c, 0x2b19, 0x877a, 0x2b13, 0x8778, 0x2b0d, 0x8776, - 0x2b07, 0x8774, 0x2b01, 0x8771, 0x2afb, 0x876f, 0x2af5, 0x876d, - 0x2aef, 0x876b, 0x2ae9, 0x8769, 0x2ae4, 0x8767, 0x2ade, 0x8765, - 0x2ad8, 0x8763, 0x2ad2, 0x8761, 0x2acc, 0x875e, 0x2ac6, 0x875c, - 0x2ac0, 0x875a, 0x2aba, 0x8758, 0x2ab4, 0x8756, 0x2aae, 0x8754, - 0x2aa8, 0x8752, 0x2aa2, 0x8750, 0x2a9c, 0x874e, 0x2a97, 0x874c, - 0x2a91, 0x874a, 0x2a8b, 0x8747, 0x2a85, 0x8745, 0x2a7f, 0x8743, - 0x2a79, 0x8741, 0x2a73, 0x873f, 0x2a6d, 0x873d, 0x2a67, 0x873b, - 0x2a61, 0x8739, 0x2a5b, 0x8737, 0x2a55, 0x8735, 0x2a4f, 0x8733, - 0x2a49, 0x8731, 0x2a44, 0x872e, 0x2a3e, 0x872c, 0x2a38, 0x872a, - 0x2a32, 0x8728, 0x2a2c, 0x8726, 0x2a26, 0x8724, 0x2a20, 0x8722, - 0x2a1a, 0x8720, 0x2a14, 0x871e, 0x2a0e, 0x871c, 0x2a08, 0x871a, - 0x2a02, 0x8718, 0x29fc, 0x8716, 0x29f6, 0x8714, 0x29f0, 0x8712, - 0x29eb, 0x870f, 0x29e5, 0x870d, 0x29df, 0x870b, 0x29d9, 0x8709, - 0x29d3, 0x8707, 0x29cd, 0x8705, 0x29c7, 0x8703, 0x29c1, 0x8701, - 0x29bb, 0x86ff, 0x29b5, 0x86fd, 0x29af, 0x86fb, 0x29a9, 0x86f9, - 0x29a3, 0x86f7, 0x299d, 0x86f5, 0x2997, 0x86f3, 0x2991, 0x86f1, - 0x298b, 0x86ef, 0x2986, 0x86ed, 0x2980, 0x86eb, 0x297a, 0x86e9, - 0x2974, 0x86e7, 0x296e, 0x86e4, 0x2968, 0x86e2, 0x2962, 0x86e0, - 0x295c, 0x86de, 0x2956, 0x86dc, 0x2950, 0x86da, 0x294a, 0x86d8, - 0x2944, 0x86d6, 0x293e, 0x86d4, 0x2938, 0x86d2, 0x2932, 0x86d0, - 0x292c, 0x86ce, 0x2926, 0x86cc, 0x2920, 0x86ca, 0x291b, 0x86c8, - 0x2915, 0x86c6, 0x290f, 0x86c4, 0x2909, 0x86c2, 0x2903, 0x86c0, - 0x28fd, 0x86be, 0x28f7, 0x86bc, 0x28f1, 0x86ba, 0x28eb, 0x86b8, - 0x28e5, 0x86b6, 0x28df, 0x86b4, 0x28d9, 0x86b2, 0x28d3, 0x86b0, - 0x28cd, 0x86ae, 0x28c7, 0x86ac, 0x28c1, 0x86aa, 0x28bb, 0x86a8, - 0x28b5, 0x86a6, 0x28af, 0x86a4, 0x28a9, 0x86a2, 0x28a3, 0x86a0, - 0x289d, 0x869e, 0x2898, 0x869c, 0x2892, 0x869a, 0x288c, 0x8698, - 0x2886, 0x8696, 0x2880, 0x8694, 0x287a, 0x8692, 0x2874, 0x8690, - 0x286e, 0x868e, 0x2868, 0x868c, 0x2862, 0x868a, 0x285c, 0x8688, - 0x2856, 0x8686, 0x2850, 0x8684, 0x284a, 0x8682, 0x2844, 0x8680, - 0x283e, 0x867e, 0x2838, 0x867c, 0x2832, 0x867a, 0x282c, 0x8678, - 0x2826, 0x8676, 0x2820, 0x8674, 0x281a, 0x8672, 0x2814, 0x8670, - 0x280e, 0x866e, 0x2808, 0x866d, 0x2802, 0x866b, 0x27fc, 0x8669, - 0x27f6, 0x8667, 0x27f1, 0x8665, 0x27eb, 0x8663, 0x27e5, 0x8661, - 0x27df, 0x865f, 0x27d9, 0x865d, 0x27d3, 0x865b, 0x27cd, 0x8659, - 0x27c7, 0x8657, 0x27c1, 0x8655, 0x27bb, 0x8653, 0x27b5, 0x8651, - 0x27af, 0x864f, 0x27a9, 0x864d, 0x27a3, 0x864b, 0x279d, 0x8649, - 0x2797, 0x8647, 0x2791, 0x8645, 0x278b, 0x8644, 0x2785, 0x8642, - 0x277f, 0x8640, 0x2779, 0x863e, 0x2773, 0x863c, 0x276d, 0x863a, - 0x2767, 0x8638, 0x2761, 0x8636, 0x275b, 0x8634, 0x2755, 0x8632, - 0x274f, 0x8630, 0x2749, 0x862e, 0x2743, 0x862c, 0x273d, 0x862a, - 0x2737, 0x8628, 0x2731, 0x8627, 0x272b, 0x8625, 0x2725, 0x8623, - 0x271f, 0x8621, 0x2719, 0x861f, 0x2713, 0x861d, 0x270d, 0x861b, - 0x2707, 0x8619, 0x2701, 0x8617, 0x26fb, 0x8615, 0x26f5, 0x8613, - 0x26ef, 0x8611, 0x26e9, 0x8610, 0x26e4, 0x860e, 0x26de, 0x860c, - 0x26d8, 0x860a, 0x26d2, 0x8608, 0x26cc, 0x8606, 0x26c6, 0x8604, - 0x26c0, 0x8602, 0x26ba, 0x8600, 0x26b4, 0x85fe, 0x26ae, 0x85fc, - 0x26a8, 0x85fb, 0x26a2, 0x85f9, 0x269c, 0x85f7, 0x2696, 0x85f5, - 0x2690, 0x85f3, 0x268a, 0x85f1, 0x2684, 0x85ef, 0x267e, 0x85ed, - 0x2678, 0x85eb, 0x2672, 0x85ea, 0x266c, 0x85e8, 0x2666, 0x85e6, - 0x2660, 0x85e4, 0x265a, 0x85e2, 0x2654, 0x85e0, 0x264e, 0x85de, - 0x2648, 0x85dc, 0x2642, 0x85da, 0x263c, 0x85d9, 0x2636, 0x85d7, - 0x2630, 0x85d5, 0x262a, 0x85d3, 0x2624, 0x85d1, 0x261e, 0x85cf, - 0x2618, 0x85cd, 0x2612, 0x85cb, 0x260c, 0x85ca, 0x2606, 0x85c8, - 0x2600, 0x85c6, 0x25fa, 0x85c4, 0x25f4, 0x85c2, 0x25ee, 0x85c0, - 0x25e8, 0x85be, 0x25e2, 0x85bd, 0x25dc, 0x85bb, 0x25d6, 0x85b9, - 0x25d0, 0x85b7, 0x25ca, 0x85b5, 0x25c4, 0x85b3, 0x25be, 0x85b1, - 0x25b8, 0x85b0, 0x25b2, 0x85ae, 0x25ac, 0x85ac, 0x25a6, 0x85aa, - 0x25a0, 0x85a8, 0x259a, 0x85a6, 0x2594, 0x85a4, 0x258e, 0x85a3, - 0x2588, 0x85a1, 0x2582, 0x859f, 0x257c, 0x859d, 0x2576, 0x859b, - 0x2570, 0x8599, 0x256a, 0x8598, 0x2564, 0x8596, 0x255e, 0x8594, - 0x2558, 0x8592, 0x2552, 0x8590, 0x254c, 0x858e, 0x2546, 0x858d, - 0x2540, 0x858b, 0x253a, 0x8589, 0x2534, 0x8587, 0x252e, 0x8585, - 0x2528, 0x8583, 0x2522, 0x8582, 0x251c, 0x8580, 0x2516, 0x857e, - 0x250f, 0x857c, 0x2509, 0x857a, 0x2503, 0x8579, 0x24fd, 0x8577, - 0x24f7, 0x8575, 0x24f1, 0x8573, 0x24eb, 0x8571, 0x24e5, 0x856f, - 0x24df, 0x856e, 0x24d9, 0x856c, 0x24d3, 0x856a, 0x24cd, 0x8568, - 0x24c7, 0x8566, 0x24c1, 0x8565, 0x24bb, 0x8563, 0x24b5, 0x8561, - 0x24af, 0x855f, 0x24a9, 0x855d, 0x24a3, 0x855c, 0x249d, 0x855a, - 0x2497, 0x8558, 0x2491, 0x8556, 0x248b, 0x8554, 0x2485, 0x8553, - 0x247f, 0x8551, 0x2479, 0x854f, 0x2473, 0x854d, 0x246d, 0x854b, - 0x2467, 0x854a, 0x2461, 0x8548, 0x245b, 0x8546, 0x2455, 0x8544, - 0x244f, 0x8543, 0x2449, 0x8541, 0x2443, 0x853f, 0x243d, 0x853d, - 0x2437, 0x853b, 0x2431, 0x853a, 0x242b, 0x8538, 0x2425, 0x8536, - 0x241f, 0x8534, 0x2419, 0x8533, 0x2413, 0x8531, 0x240d, 0x852f, - 0x2407, 0x852d, 0x2401, 0x852b, 0x23fa, 0x852a, 0x23f4, 0x8528, - 0x23ee, 0x8526, 0x23e8, 0x8524, 0x23e2, 0x8523, 0x23dc, 0x8521, - 0x23d6, 0x851f, 0x23d0, 0x851d, 0x23ca, 0x851c, 0x23c4, 0x851a, - 0x23be, 0x8518, 0x23b8, 0x8516, 0x23b2, 0x8515, 0x23ac, 0x8513, - 0x23a6, 0x8511, 0x23a0, 0x850f, 0x239a, 0x850e, 0x2394, 0x850c, - 0x238e, 0x850a, 0x2388, 0x8508, 0x2382, 0x8507, 0x237c, 0x8505, - 0x2376, 0x8503, 0x2370, 0x8501, 0x236a, 0x8500, 0x2364, 0x84fe, - 0x235e, 0x84fc, 0x2358, 0x84fa, 0x2352, 0x84f9, 0x234b, 0x84f7, - 0x2345, 0x84f5, 0x233f, 0x84f4, 0x2339, 0x84f2, 0x2333, 0x84f0, - 0x232d, 0x84ee, 0x2327, 0x84ed, 0x2321, 0x84eb, 0x231b, 0x84e9, - 0x2315, 0x84e7, 0x230f, 0x84e6, 0x2309, 0x84e4, 0x2303, 0x84e2, - 0x22fd, 0x84e1, 0x22f7, 0x84df, 0x22f1, 0x84dd, 0x22eb, 0x84db, - 0x22e5, 0x84da, 0x22df, 0x84d8, 0x22d9, 0x84d6, 0x22d3, 0x84d5, - 0x22cd, 0x84d3, 0x22c7, 0x84d1, 0x22c0, 0x84cf, 0x22ba, 0x84ce, - 0x22b4, 0x84cc, 0x22ae, 0x84ca, 0x22a8, 0x84c9, 0x22a2, 0x84c7, - 0x229c, 0x84c5, 0x2296, 0x84c4, 0x2290, 0x84c2, 0x228a, 0x84c0, - 0x2284, 0x84be, 0x227e, 0x84bd, 0x2278, 0x84bb, 0x2272, 0x84b9, - 0x226c, 0x84b8, 0x2266, 0x84b6, 0x2260, 0x84b4, 0x225a, 0x84b3, - 0x2254, 0x84b1, 0x224e, 0x84af, 0x2247, 0x84ae, 0x2241, 0x84ac, - 0x223b, 0x84aa, 0x2235, 0x84a9, 0x222f, 0x84a7, 0x2229, 0x84a5, - 0x2223, 0x84a3, 0x221d, 0x84a2, 0x2217, 0x84a0, 0x2211, 0x849e, - 0x220b, 0x849d, 0x2205, 0x849b, 0x21ff, 0x8499, 0x21f9, 0x8498, - 0x21f3, 0x8496, 0x21ed, 0x8494, 0x21e7, 0x8493, 0x21e1, 0x8491, - 0x21da, 0x848f, 0x21d4, 0x848e, 0x21ce, 0x848c, 0x21c8, 0x848a, - 0x21c2, 0x8489, 0x21bc, 0x8487, 0x21b6, 0x8486, 0x21b0, 0x8484, - 0x21aa, 0x8482, 0x21a4, 0x8481, 0x219e, 0x847f, 0x2198, 0x847d, - 0x2192, 0x847c, 0x218c, 0x847a, 0x2186, 0x8478, 0x2180, 0x8477, - 0x2179, 0x8475, 0x2173, 0x8473, 0x216d, 0x8472, 0x2167, 0x8470, - 0x2161, 0x846e, 0x215b, 0x846d, 0x2155, 0x846b, 0x214f, 0x846a, - 0x2149, 0x8468, 0x2143, 0x8466, 0x213d, 0x8465, 0x2137, 0x8463, - 0x2131, 0x8461, 0x212b, 0x8460, 0x2125, 0x845e, 0x211e, 0x845d, - 0x2118, 0x845b, 0x2112, 0x8459, 0x210c, 0x8458, 0x2106, 0x8456, - 0x2100, 0x8454, 0x20fa, 0x8453, 0x20f4, 0x8451, 0x20ee, 0x8450, - 0x20e8, 0x844e, 0x20e2, 0x844c, 0x20dc, 0x844b, 0x20d6, 0x8449, - 0x20d0, 0x8447, 0x20c9, 0x8446, 0x20c3, 0x8444, 0x20bd, 0x8443, - 0x20b7, 0x8441, 0x20b1, 0x843f, 0x20ab, 0x843e, 0x20a5, 0x843c, - 0x209f, 0x843b, 0x2099, 0x8439, 0x2093, 0x8437, 0x208d, 0x8436, - 0x2087, 0x8434, 0x2081, 0x8433, 0x207a, 0x8431, 0x2074, 0x842f, - 0x206e, 0x842e, 0x2068, 0x842c, 0x2062, 0x842b, 0x205c, 0x8429, - 0x2056, 0x8427, 0x2050, 0x8426, 0x204a, 0x8424, 0x2044, 0x8423, - 0x203e, 0x8421, 0x2038, 0x8420, 0x2032, 0x841e, 0x202b, 0x841c, - 0x2025, 0x841b, 0x201f, 0x8419, 0x2019, 0x8418, 0x2013, 0x8416, - 0x200d, 0x8415, 0x2007, 0x8413, 0x2001, 0x8411, 0x1ffb, 0x8410, - 0x1ff5, 0x840e, 0x1fef, 0x840d, 0x1fe9, 0x840b, 0x1fe2, 0x840a, - 0x1fdc, 0x8408, 0x1fd6, 0x8406, 0x1fd0, 0x8405, 0x1fca, 0x8403, - 0x1fc4, 0x8402, 0x1fbe, 0x8400, 0x1fb8, 0x83ff, 0x1fb2, 0x83fd, - 0x1fac, 0x83fb, 0x1fa6, 0x83fa, 0x1f9f, 0x83f8, 0x1f99, 0x83f7, - 0x1f93, 0x83f5, 0x1f8d, 0x83f4, 0x1f87, 0x83f2, 0x1f81, 0x83f1, - 0x1f7b, 0x83ef, 0x1f75, 0x83ee, 0x1f6f, 0x83ec, 0x1f69, 0x83ea, - 0x1f63, 0x83e9, 0x1f5d, 0x83e7, 0x1f56, 0x83e6, 0x1f50, 0x83e4, - 0x1f4a, 0x83e3, 0x1f44, 0x83e1, 0x1f3e, 0x83e0, 0x1f38, 0x83de, - 0x1f32, 0x83dd, 0x1f2c, 0x83db, 0x1f26, 0x83da, 0x1f20, 0x83d8, - 0x1f19, 0x83d7, 0x1f13, 0x83d5, 0x1f0d, 0x83d3, 0x1f07, 0x83d2, - 0x1f01, 0x83d0, 0x1efb, 0x83cf, 0x1ef5, 0x83cd, 0x1eef, 0x83cc, - 0x1ee9, 0x83ca, 0x1ee3, 0x83c9, 0x1edd, 0x83c7, 0x1ed6, 0x83c6, - 0x1ed0, 0x83c4, 0x1eca, 0x83c3, 0x1ec4, 0x83c1, 0x1ebe, 0x83c0, - 0x1eb8, 0x83be, 0x1eb2, 0x83bd, 0x1eac, 0x83bb, 0x1ea6, 0x83ba, - 0x1ea0, 0x83b8, 0x1e99, 0x83b7, 0x1e93, 0x83b5, 0x1e8d, 0x83b4, - 0x1e87, 0x83b2, 0x1e81, 0x83b1, 0x1e7b, 0x83af, 0x1e75, 0x83ae, - 0x1e6f, 0x83ac, 0x1e69, 0x83ab, 0x1e62, 0x83a9, 0x1e5c, 0x83a8, - 0x1e56, 0x83a6, 0x1e50, 0x83a5, 0x1e4a, 0x83a3, 0x1e44, 0x83a2, - 0x1e3e, 0x83a0, 0x1e38, 0x839f, 0x1e32, 0x839d, 0x1e2c, 0x839c, - 0x1e25, 0x839a, 0x1e1f, 0x8399, 0x1e19, 0x8397, 0x1e13, 0x8396, - 0x1e0d, 0x8394, 0x1e07, 0x8393, 0x1e01, 0x8392, 0x1dfb, 0x8390, - 0x1df5, 0x838f, 0x1dee, 0x838d, 0x1de8, 0x838c, 0x1de2, 0x838a, - 0x1ddc, 0x8389, 0x1dd6, 0x8387, 0x1dd0, 0x8386, 0x1dca, 0x8384, - 0x1dc4, 0x8383, 0x1dbe, 0x8381, 0x1db7, 0x8380, 0x1db1, 0x837e, - 0x1dab, 0x837d, 0x1da5, 0x837c, 0x1d9f, 0x837a, 0x1d99, 0x8379, - 0x1d93, 0x8377, 0x1d8d, 0x8376, 0x1d87, 0x8374, 0x1d80, 0x8373, - 0x1d7a, 0x8371, 0x1d74, 0x8370, 0x1d6e, 0x836f, 0x1d68, 0x836d, - 0x1d62, 0x836c, 0x1d5c, 0x836a, 0x1d56, 0x8369, 0x1d50, 0x8367, - 0x1d49, 0x8366, 0x1d43, 0x8364, 0x1d3d, 0x8363, 0x1d37, 0x8362, - 0x1d31, 0x8360, 0x1d2b, 0x835f, 0x1d25, 0x835d, 0x1d1f, 0x835c, - 0x1d18, 0x835a, 0x1d12, 0x8359, 0x1d0c, 0x8358, 0x1d06, 0x8356, - 0x1d00, 0x8355, 0x1cfa, 0x8353, 0x1cf4, 0x8352, 0x1cee, 0x8350, - 0x1ce8, 0x834f, 0x1ce1, 0x834e, 0x1cdb, 0x834c, 0x1cd5, 0x834b, - 0x1ccf, 0x8349, 0x1cc9, 0x8348, 0x1cc3, 0x8347, 0x1cbd, 0x8345, - 0x1cb7, 0x8344, 0x1cb0, 0x8342, 0x1caa, 0x8341, 0x1ca4, 0x833f, - 0x1c9e, 0x833e, 0x1c98, 0x833d, 0x1c92, 0x833b, 0x1c8c, 0x833a, - 0x1c86, 0x8338, 0x1c7f, 0x8337, 0x1c79, 0x8336, 0x1c73, 0x8334, - 0x1c6d, 0x8333, 0x1c67, 0x8331, 0x1c61, 0x8330, 0x1c5b, 0x832f, - 0x1c55, 0x832d, 0x1c4e, 0x832c, 0x1c48, 0x832b, 0x1c42, 0x8329, - 0x1c3c, 0x8328, 0x1c36, 0x8326, 0x1c30, 0x8325, 0x1c2a, 0x8324, - 0x1c24, 0x8322, 0x1c1d, 0x8321, 0x1c17, 0x831f, 0x1c11, 0x831e, - 0x1c0b, 0x831d, 0x1c05, 0x831b, 0x1bff, 0x831a, 0x1bf9, 0x8319, - 0x1bf2, 0x8317, 0x1bec, 0x8316, 0x1be6, 0x8314, 0x1be0, 0x8313, - 0x1bda, 0x8312, 0x1bd4, 0x8310, 0x1bce, 0x830f, 0x1bc8, 0x830e, - 0x1bc1, 0x830c, 0x1bbb, 0x830b, 0x1bb5, 0x830a, 0x1baf, 0x8308, - 0x1ba9, 0x8307, 0x1ba3, 0x8305, 0x1b9d, 0x8304, 0x1b96, 0x8303, - 0x1b90, 0x8301, 0x1b8a, 0x8300, 0x1b84, 0x82ff, 0x1b7e, 0x82fd, - 0x1b78, 0x82fc, 0x1b72, 0x82fb, 0x1b6c, 0x82f9, 0x1b65, 0x82f8, - 0x1b5f, 0x82f7, 0x1b59, 0x82f5, 0x1b53, 0x82f4, 0x1b4d, 0x82f3, - 0x1b47, 0x82f1, 0x1b41, 0x82f0, 0x1b3a, 0x82ef, 0x1b34, 0x82ed, - 0x1b2e, 0x82ec, 0x1b28, 0x82eb, 0x1b22, 0x82e9, 0x1b1c, 0x82e8, - 0x1b16, 0x82e7, 0x1b0f, 0x82e5, 0x1b09, 0x82e4, 0x1b03, 0x82e3, - 0x1afd, 0x82e1, 0x1af7, 0x82e0, 0x1af1, 0x82df, 0x1aeb, 0x82dd, - 0x1ae4, 0x82dc, 0x1ade, 0x82db, 0x1ad8, 0x82d9, 0x1ad2, 0x82d8, - 0x1acc, 0x82d7, 0x1ac6, 0x82d5, 0x1ac0, 0x82d4, 0x1ab9, 0x82d3, - 0x1ab3, 0x82d1, 0x1aad, 0x82d0, 0x1aa7, 0x82cf, 0x1aa1, 0x82ce, - 0x1a9b, 0x82cc, 0x1a95, 0x82cb, 0x1a8e, 0x82ca, 0x1a88, 0x82c8, - 0x1a82, 0x82c7, 0x1a7c, 0x82c6, 0x1a76, 0x82c4, 0x1a70, 0x82c3, - 0x1a6a, 0x82c2, 0x1a63, 0x82c1, 0x1a5d, 0x82bf, 0x1a57, 0x82be, - 0x1a51, 0x82bd, 0x1a4b, 0x82bb, 0x1a45, 0x82ba, 0x1a3e, 0x82b9, - 0x1a38, 0x82b7, 0x1a32, 0x82b6, 0x1a2c, 0x82b5, 0x1a26, 0x82b4, - 0x1a20, 0x82b2, 0x1a1a, 0x82b1, 0x1a13, 0x82b0, 0x1a0d, 0x82ae, - 0x1a07, 0x82ad, 0x1a01, 0x82ac, 0x19fb, 0x82ab, 0x19f5, 0x82a9, - 0x19ef, 0x82a8, 0x19e8, 0x82a7, 0x19e2, 0x82a6, 0x19dc, 0x82a4, - 0x19d6, 0x82a3, 0x19d0, 0x82a2, 0x19ca, 0x82a0, 0x19c3, 0x829f, - 0x19bd, 0x829e, 0x19b7, 0x829d, 0x19b1, 0x829b, 0x19ab, 0x829a, - 0x19a5, 0x8299, 0x199f, 0x8298, 0x1998, 0x8296, 0x1992, 0x8295, - 0x198c, 0x8294, 0x1986, 0x8293, 0x1980, 0x8291, 0x197a, 0x8290, - 0x1973, 0x828f, 0x196d, 0x828e, 0x1967, 0x828c, 0x1961, 0x828b, - 0x195b, 0x828a, 0x1955, 0x8289, 0x194e, 0x8287, 0x1948, 0x8286, - 0x1942, 0x8285, 0x193c, 0x8284, 0x1936, 0x8282, 0x1930, 0x8281, - 0x192a, 0x8280, 0x1923, 0x827f, 0x191d, 0x827e, 0x1917, 0x827c, - 0x1911, 0x827b, 0x190b, 0x827a, 0x1905, 0x8279, 0x18fe, 0x8277, - 0x18f8, 0x8276, 0x18f2, 0x8275, 0x18ec, 0x8274, 0x18e6, 0x8272, - 0x18e0, 0x8271, 0x18d9, 0x8270, 0x18d3, 0x826f, 0x18cd, 0x826e, - 0x18c7, 0x826c, 0x18c1, 0x826b, 0x18bb, 0x826a, 0x18b4, 0x8269, - 0x18ae, 0x8268, 0x18a8, 0x8266, 0x18a2, 0x8265, 0x189c, 0x8264, - 0x1896, 0x8263, 0x188f, 0x8261, 0x1889, 0x8260, 0x1883, 0x825f, - 0x187d, 0x825e, 0x1877, 0x825d, 0x1871, 0x825b, 0x186a, 0x825a, - 0x1864, 0x8259, 0x185e, 0x8258, 0x1858, 0x8257, 0x1852, 0x8255, - 0x184c, 0x8254, 0x1845, 0x8253, 0x183f, 0x8252, 0x1839, 0x8251, - 0x1833, 0x8250, 0x182d, 0x824e, 0x1827, 0x824d, 0x1820, 0x824c, - 0x181a, 0x824b, 0x1814, 0x824a, 0x180e, 0x8248, 0x1808, 0x8247, - 0x1802, 0x8246, 0x17fb, 0x8245, 0x17f5, 0x8244, 0x17ef, 0x8243, - 0x17e9, 0x8241, 0x17e3, 0x8240, 0x17dd, 0x823f, 0x17d6, 0x823e, - 0x17d0, 0x823d, 0x17ca, 0x823b, 0x17c4, 0x823a, 0x17be, 0x8239, - 0x17b7, 0x8238, 0x17b1, 0x8237, 0x17ab, 0x8236, 0x17a5, 0x8234, - 0x179f, 0x8233, 0x1799, 0x8232, 0x1792, 0x8231, 0x178c, 0x8230, - 0x1786, 0x822f, 0x1780, 0x822e, 0x177a, 0x822c, 0x1774, 0x822b, - 0x176d, 0x822a, 0x1767, 0x8229, 0x1761, 0x8228, 0x175b, 0x8227, - 0x1755, 0x8226, 0x174e, 0x8224, 0x1748, 0x8223, 0x1742, 0x8222, - 0x173c, 0x8221, 0x1736, 0x8220, 0x1730, 0x821f, 0x1729, 0x821e, - 0x1723, 0x821c, 0x171d, 0x821b, 0x1717, 0x821a, 0x1711, 0x8219, - 0x170a, 0x8218, 0x1704, 0x8217, 0x16fe, 0x8216, 0x16f8, 0x8214, - 0x16f2, 0x8213, 0x16ec, 0x8212, 0x16e5, 0x8211, 0x16df, 0x8210, - 0x16d9, 0x820f, 0x16d3, 0x820e, 0x16cd, 0x820d, 0x16c6, 0x820b, - 0x16c0, 0x820a, 0x16ba, 0x8209, 0x16b4, 0x8208, 0x16ae, 0x8207, - 0x16a8, 0x8206, 0x16a1, 0x8205, 0x169b, 0x8204, 0x1695, 0x8203, - 0x168f, 0x8201, 0x1689, 0x8200, 0x1682, 0x81ff, 0x167c, 0x81fe, - 0x1676, 0x81fd, 0x1670, 0x81fc, 0x166a, 0x81fb, 0x1664, 0x81fa, - 0x165d, 0x81f9, 0x1657, 0x81f8, 0x1651, 0x81f6, 0x164b, 0x81f5, - 0x1645, 0x81f4, 0x163e, 0x81f3, 0x1638, 0x81f2, 0x1632, 0x81f1, - 0x162c, 0x81f0, 0x1626, 0x81ef, 0x161f, 0x81ee, 0x1619, 0x81ed, - 0x1613, 0x81ec, 0x160d, 0x81ea, 0x1607, 0x81e9, 0x1601, 0x81e8, - 0x15fa, 0x81e7, 0x15f4, 0x81e6, 0x15ee, 0x81e5, 0x15e8, 0x81e4, - 0x15e2, 0x81e3, 0x15db, 0x81e2, 0x15d5, 0x81e1, 0x15cf, 0x81e0, - 0x15c9, 0x81df, 0x15c3, 0x81de, 0x15bc, 0x81dc, 0x15b6, 0x81db, - 0x15b0, 0x81da, 0x15aa, 0x81d9, 0x15a4, 0x81d8, 0x159d, 0x81d7, - 0x1597, 0x81d6, 0x1591, 0x81d5, 0x158b, 0x81d4, 0x1585, 0x81d3, - 0x157f, 0x81d2, 0x1578, 0x81d1, 0x1572, 0x81d0, 0x156c, 0x81cf, - 0x1566, 0x81ce, 0x1560, 0x81cd, 0x1559, 0x81cc, 0x1553, 0x81cb, - 0x154d, 0x81c9, 0x1547, 0x81c8, 0x1541, 0x81c7, 0x153a, 0x81c6, - 0x1534, 0x81c5, 0x152e, 0x81c4, 0x1528, 0x81c3, 0x1522, 0x81c2, - 0x151b, 0x81c1, 0x1515, 0x81c0, 0x150f, 0x81bf, 0x1509, 0x81be, - 0x1503, 0x81bd, 0x14fc, 0x81bc, 0x14f6, 0x81bb, 0x14f0, 0x81ba, - 0x14ea, 0x81b9, 0x14e4, 0x81b8, 0x14dd, 0x81b7, 0x14d7, 0x81b6, - 0x14d1, 0x81b5, 0x14cb, 0x81b4, 0x14c5, 0x81b3, 0x14be, 0x81b2, - 0x14b8, 0x81b1, 0x14b2, 0x81b0, 0x14ac, 0x81af, 0x14a6, 0x81ae, - 0x149f, 0x81ad, 0x1499, 0x81ac, 0x1493, 0x81ab, 0x148d, 0x81aa, - 0x1487, 0x81a9, 0x1480, 0x81a8, 0x147a, 0x81a7, 0x1474, 0x81a6, - 0x146e, 0x81a5, 0x1468, 0x81a4, 0x1461, 0x81a3, 0x145b, 0x81a2, - 0x1455, 0x81a1, 0x144f, 0x81a0, 0x1449, 0x819f, 0x1442, 0x819e, - 0x143c, 0x819d, 0x1436, 0x819c, 0x1430, 0x819b, 0x142a, 0x819a, - 0x1423, 0x8199, 0x141d, 0x8198, 0x1417, 0x8197, 0x1411, 0x8196, - 0x140b, 0x8195, 0x1404, 0x8194, 0x13fe, 0x8193, 0x13f8, 0x8192, - 0x13f2, 0x8191, 0x13eb, 0x8190, 0x13e5, 0x818f, 0x13df, 0x818e, - 0x13d9, 0x818d, 0x13d3, 0x818c, 0x13cc, 0x818b, 0x13c6, 0x818a, - 0x13c0, 0x8189, 0x13ba, 0x8188, 0x13b4, 0x8187, 0x13ad, 0x8186, - 0x13a7, 0x8185, 0x13a1, 0x8184, 0x139b, 0x8183, 0x1395, 0x8182, - 0x138e, 0x8181, 0x1388, 0x8180, 0x1382, 0x817f, 0x137c, 0x817e, - 0x1376, 0x817d, 0x136f, 0x817c, 0x1369, 0x817c, 0x1363, 0x817b, - 0x135d, 0x817a, 0x1356, 0x8179, 0x1350, 0x8178, 0x134a, 0x8177, - 0x1344, 0x8176, 0x133e, 0x8175, 0x1337, 0x8174, 0x1331, 0x8173, - 0x132b, 0x8172, 0x1325, 0x8171, 0x131f, 0x8170, 0x1318, 0x816f, - 0x1312, 0x816e, 0x130c, 0x816d, 0x1306, 0x816c, 0x12ff, 0x816c, - 0x12f9, 0x816b, 0x12f3, 0x816a, 0x12ed, 0x8169, 0x12e7, 0x8168, - 0x12e0, 0x8167, 0x12da, 0x8166, 0x12d4, 0x8165, 0x12ce, 0x8164, - 0x12c8, 0x8163, 0x12c1, 0x8162, 0x12bb, 0x8161, 0x12b5, 0x8160, - 0x12af, 0x815f, 0x12a8, 0x815f, 0x12a2, 0x815e, 0x129c, 0x815d, - 0x1296, 0x815c, 0x1290, 0x815b, 0x1289, 0x815a, 0x1283, 0x8159, - 0x127d, 0x8158, 0x1277, 0x8157, 0x1271, 0x8156, 0x126a, 0x8155, - 0x1264, 0x8155, 0x125e, 0x8154, 0x1258, 0x8153, 0x1251, 0x8152, - 0x124b, 0x8151, 0x1245, 0x8150, 0x123f, 0x814f, 0x1239, 0x814e, - 0x1232, 0x814d, 0x122c, 0x814c, 0x1226, 0x814c, 0x1220, 0x814b, - 0x1219, 0x814a, 0x1213, 0x8149, 0x120d, 0x8148, 0x1207, 0x8147, - 0x1201, 0x8146, 0x11fa, 0x8145, 0x11f4, 0x8145, 0x11ee, 0x8144, - 0x11e8, 0x8143, 0x11e1, 0x8142, 0x11db, 0x8141, 0x11d5, 0x8140, - 0x11cf, 0x813f, 0x11c9, 0x813e, 0x11c2, 0x813d, 0x11bc, 0x813d, - 0x11b6, 0x813c, 0x11b0, 0x813b, 0x11a9, 0x813a, 0x11a3, 0x8139, - 0x119d, 0x8138, 0x1197, 0x8137, 0x1191, 0x8137, 0x118a, 0x8136, - 0x1184, 0x8135, 0x117e, 0x8134, 0x1178, 0x8133, 0x1171, 0x8132, - 0x116b, 0x8131, 0x1165, 0x8131, 0x115f, 0x8130, 0x1159, 0x812f, - 0x1152, 0x812e, 0x114c, 0x812d, 0x1146, 0x812c, 0x1140, 0x812b, - 0x1139, 0x812b, 0x1133, 0x812a, 0x112d, 0x8129, 0x1127, 0x8128, - 0x1121, 0x8127, 0x111a, 0x8126, 0x1114, 0x8126, 0x110e, 0x8125, - 0x1108, 0x8124, 0x1101, 0x8123, 0x10fb, 0x8122, 0x10f5, 0x8121, - 0x10ef, 0x8121, 0x10e8, 0x8120, 0x10e2, 0x811f, 0x10dc, 0x811e, - 0x10d6, 0x811d, 0x10d0, 0x811c, 0x10c9, 0x811c, 0x10c3, 0x811b, - 0x10bd, 0x811a, 0x10b7, 0x8119, 0x10b0, 0x8118, 0x10aa, 0x8117, - 0x10a4, 0x8117, 0x109e, 0x8116, 0x1098, 0x8115, 0x1091, 0x8114, - 0x108b, 0x8113, 0x1085, 0x8113, 0x107f, 0x8112, 0x1078, 0x8111, - 0x1072, 0x8110, 0x106c, 0x810f, 0x1066, 0x810f, 0x105f, 0x810e, - 0x1059, 0x810d, 0x1053, 0x810c, 0x104d, 0x810b, 0x1047, 0x810b, - 0x1040, 0x810a, 0x103a, 0x8109, 0x1034, 0x8108, 0x102e, 0x8107, - 0x1027, 0x8107, 0x1021, 0x8106, 0x101b, 0x8105, 0x1015, 0x8104, - 0x100e, 0x8103, 0x1008, 0x8103, 0x1002, 0x8102, 0xffc, 0x8101, - 0xff5, 0x8100, 0xfef, 0x80ff, 0xfe9, 0x80ff, 0xfe3, 0x80fe, - 0xfdd, 0x80fd, 0xfd6, 0x80fc, 0xfd0, 0x80fc, 0xfca, 0x80fb, - 0xfc4, 0x80fa, 0xfbd, 0x80f9, 0xfb7, 0x80f8, 0xfb1, 0x80f8, - 0xfab, 0x80f7, 0xfa4, 0x80f6, 0xf9e, 0x80f5, 0xf98, 0x80f5, - 0xf92, 0x80f4, 0xf8b, 0x80f3, 0xf85, 0x80f2, 0xf7f, 0x80f2, - 0xf79, 0x80f1, 0xf73, 0x80f0, 0xf6c, 0x80ef, 0xf66, 0x80ef, - 0xf60, 0x80ee, 0xf5a, 0x80ed, 0xf53, 0x80ec, 0xf4d, 0x80ec, - 0xf47, 0x80eb, 0xf41, 0x80ea, 0xf3a, 0x80e9, 0xf34, 0x80e9, - 0xf2e, 0x80e8, 0xf28, 0x80e7, 0xf21, 0x80e6, 0xf1b, 0x80e6, - 0xf15, 0x80e5, 0xf0f, 0x80e4, 0xf08, 0x80e3, 0xf02, 0x80e3, - 0xefc, 0x80e2, 0xef6, 0x80e1, 0xef0, 0x80e0, 0xee9, 0x80e0, - 0xee3, 0x80df, 0xedd, 0x80de, 0xed7, 0x80dd, 0xed0, 0x80dd, - 0xeca, 0x80dc, 0xec4, 0x80db, 0xebe, 0x80db, 0xeb7, 0x80da, - 0xeb1, 0x80d9, 0xeab, 0x80d8, 0xea5, 0x80d8, 0xe9e, 0x80d7, - 0xe98, 0x80d6, 0xe92, 0x80d6, 0xe8c, 0x80d5, 0xe85, 0x80d4, - 0xe7f, 0x80d3, 0xe79, 0x80d3, 0xe73, 0x80d2, 0xe6c, 0x80d1, - 0xe66, 0x80d1, 0xe60, 0x80d0, 0xe5a, 0x80cf, 0xe53, 0x80ce, - 0xe4d, 0x80ce, 0xe47, 0x80cd, 0xe41, 0x80cc, 0xe3a, 0x80cc, - 0xe34, 0x80cb, 0xe2e, 0x80ca, 0xe28, 0x80ca, 0xe22, 0x80c9, - 0xe1b, 0x80c8, 0xe15, 0x80c7, 0xe0f, 0x80c7, 0xe09, 0x80c6, - 0xe02, 0x80c5, 0xdfc, 0x80c5, 0xdf6, 0x80c4, 0xdf0, 0x80c3, - 0xde9, 0x80c3, 0xde3, 0x80c2, 0xddd, 0x80c1, 0xdd7, 0x80c1, - 0xdd0, 0x80c0, 0xdca, 0x80bf, 0xdc4, 0x80bf, 0xdbe, 0x80be, - 0xdb7, 0x80bd, 0xdb1, 0x80bd, 0xdab, 0x80bc, 0xda5, 0x80bb, - 0xd9e, 0x80bb, 0xd98, 0x80ba, 0xd92, 0x80b9, 0xd8c, 0x80b9, - 0xd85, 0x80b8, 0xd7f, 0x80b7, 0xd79, 0x80b7, 0xd73, 0x80b6, - 0xd6c, 0x80b5, 0xd66, 0x80b5, 0xd60, 0x80b4, 0xd5a, 0x80b3, - 0xd53, 0x80b3, 0xd4d, 0x80b2, 0xd47, 0x80b1, 0xd41, 0x80b1, - 0xd3a, 0x80b0, 0xd34, 0x80af, 0xd2e, 0x80af, 0xd28, 0x80ae, - 0xd21, 0x80ad, 0xd1b, 0x80ad, 0xd15, 0x80ac, 0xd0f, 0x80ab, - 0xd08, 0x80ab, 0xd02, 0x80aa, 0xcfc, 0x80aa, 0xcf6, 0x80a9, - 0xcef, 0x80a8, 0xce9, 0x80a8, 0xce3, 0x80a7, 0xcdd, 0x80a6, - 0xcd6, 0x80a6, 0xcd0, 0x80a5, 0xcca, 0x80a5, 0xcc4, 0x80a4, - 0xcbd, 0x80a3, 0xcb7, 0x80a3, 0xcb1, 0x80a2, 0xcab, 0x80a1, - 0xca4, 0x80a1, 0xc9e, 0x80a0, 0xc98, 0x80a0, 0xc92, 0x809f, - 0xc8b, 0x809e, 0xc85, 0x809e, 0xc7f, 0x809d, 0xc79, 0x809c, - 0xc72, 0x809c, 0xc6c, 0x809b, 0xc66, 0x809b, 0xc60, 0x809a, - 0xc59, 0x8099, 0xc53, 0x8099, 0xc4d, 0x8098, 0xc47, 0x8098, - 0xc40, 0x8097, 0xc3a, 0x8096, 0xc34, 0x8096, 0xc2e, 0x8095, - 0xc27, 0x8095, 0xc21, 0x8094, 0xc1b, 0x8093, 0xc14, 0x8093, - 0xc0e, 0x8092, 0xc08, 0x8092, 0xc02, 0x8091, 0xbfb, 0x8090, - 0xbf5, 0x8090, 0xbef, 0x808f, 0xbe9, 0x808f, 0xbe2, 0x808e, - 0xbdc, 0x808e, 0xbd6, 0x808d, 0xbd0, 0x808c, 0xbc9, 0x808c, - 0xbc3, 0x808b, 0xbbd, 0x808b, 0xbb7, 0x808a, 0xbb0, 0x8089, - 0xbaa, 0x8089, 0xba4, 0x8088, 0xb9e, 0x8088, 0xb97, 0x8087, - 0xb91, 0x8087, 0xb8b, 0x8086, 0xb85, 0x8085, 0xb7e, 0x8085, - 0xb78, 0x8084, 0xb72, 0x8084, 0xb6c, 0x8083, 0xb65, 0x8083, - 0xb5f, 0x8082, 0xb59, 0x8082, 0xb53, 0x8081, 0xb4c, 0x8080, - 0xb46, 0x8080, 0xb40, 0x807f, 0xb3a, 0x807f, 0xb33, 0x807e, - 0xb2d, 0x807e, 0xb27, 0x807d, 0xb20, 0x807d, 0xb1a, 0x807c, - 0xb14, 0x807b, 0xb0e, 0x807b, 0xb07, 0x807a, 0xb01, 0x807a, - 0xafb, 0x8079, 0xaf5, 0x8079, 0xaee, 0x8078, 0xae8, 0x8078, - 0xae2, 0x8077, 0xadc, 0x8077, 0xad5, 0x8076, 0xacf, 0x8076, - 0xac9, 0x8075, 0xac3, 0x8075, 0xabc, 0x8074, 0xab6, 0x8073, - 0xab0, 0x8073, 0xaaa, 0x8072, 0xaa3, 0x8072, 0xa9d, 0x8071, - 0xa97, 0x8071, 0xa90, 0x8070, 0xa8a, 0x8070, 0xa84, 0x806f, - 0xa7e, 0x806f, 0xa77, 0x806e, 0xa71, 0x806e, 0xa6b, 0x806d, - 0xa65, 0x806d, 0xa5e, 0x806c, 0xa58, 0x806c, 0xa52, 0x806b, - 0xa4c, 0x806b, 0xa45, 0x806a, 0xa3f, 0x806a, 0xa39, 0x8069, - 0xa33, 0x8069, 0xa2c, 0x8068, 0xa26, 0x8068, 0xa20, 0x8067, - 0xa19, 0x8067, 0xa13, 0x8066, 0xa0d, 0x8066, 0xa07, 0x8065, - 0xa00, 0x8065, 0x9fa, 0x8064, 0x9f4, 0x8064, 0x9ee, 0x8063, - 0x9e7, 0x8063, 0x9e1, 0x8062, 0x9db, 0x8062, 0x9d5, 0x8061, - 0x9ce, 0x8061, 0x9c8, 0x8060, 0x9c2, 0x8060, 0x9bc, 0x805f, - 0x9b5, 0x805f, 0x9af, 0x805e, 0x9a9, 0x805e, 0x9a2, 0x805d, - 0x99c, 0x805d, 0x996, 0x805d, 0x990, 0x805c, 0x989, 0x805c, - 0x983, 0x805b, 0x97d, 0x805b, 0x977, 0x805a, 0x970, 0x805a, - 0x96a, 0x8059, 0x964, 0x8059, 0x95e, 0x8058, 0x957, 0x8058, - 0x951, 0x8057, 0x94b, 0x8057, 0x944, 0x8057, 0x93e, 0x8056, - 0x938, 0x8056, 0x932, 0x8055, 0x92b, 0x8055, 0x925, 0x8054, - 0x91f, 0x8054, 0x919, 0x8053, 0x912, 0x8053, 0x90c, 0x8052, - 0x906, 0x8052, 0x900, 0x8052, 0x8f9, 0x8051, 0x8f3, 0x8051, - 0x8ed, 0x8050, 0x8e6, 0x8050, 0x8e0, 0x804f, 0x8da, 0x804f, - 0x8d4, 0x804f, 0x8cd, 0x804e, 0x8c7, 0x804e, 0x8c1, 0x804d, - 0x8bb, 0x804d, 0x8b4, 0x804c, 0x8ae, 0x804c, 0x8a8, 0x804c, - 0x8a2, 0x804b, 0x89b, 0x804b, 0x895, 0x804a, 0x88f, 0x804a, - 0x888, 0x8049, 0x882, 0x8049, 0x87c, 0x8049, 0x876, 0x8048, - 0x86f, 0x8048, 0x869, 0x8047, 0x863, 0x8047, 0x85d, 0x8047, - 0x856, 0x8046, 0x850, 0x8046, 0x84a, 0x8045, 0x843, 0x8045, - 0x83d, 0x8044, 0x837, 0x8044, 0x831, 0x8044, 0x82a, 0x8043, - 0x824, 0x8043, 0x81e, 0x8042, 0x818, 0x8042, 0x811, 0x8042, - 0x80b, 0x8041, 0x805, 0x8041, 0x7fe, 0x8040, 0x7f8, 0x8040, - 0x7f2, 0x8040, 0x7ec, 0x803f, 0x7e5, 0x803f, 0x7df, 0x803f, - 0x7d9, 0x803e, 0x7d3, 0x803e, 0x7cc, 0x803d, 0x7c6, 0x803d, - 0x7c0, 0x803d, 0x7ba, 0x803c, 0x7b3, 0x803c, 0x7ad, 0x803b, - 0x7a7, 0x803b, 0x7a0, 0x803b, 0x79a, 0x803a, 0x794, 0x803a, - 0x78e, 0x803a, 0x787, 0x8039, 0x781, 0x8039, 0x77b, 0x8039, - 0x775, 0x8038, 0x76e, 0x8038, 0x768, 0x8037, 0x762, 0x8037, - 0x75b, 0x8037, 0x755, 0x8036, 0x74f, 0x8036, 0x749, 0x8036, - 0x742, 0x8035, 0x73c, 0x8035, 0x736, 0x8035, 0x730, 0x8034, - 0x729, 0x8034, 0x723, 0x8033, 0x71d, 0x8033, 0x716, 0x8033, - 0x710, 0x8032, 0x70a, 0x8032, 0x704, 0x8032, 0x6fd, 0x8031, - 0x6f7, 0x8031, 0x6f1, 0x8031, 0x6ea, 0x8030, 0x6e4, 0x8030, - 0x6de, 0x8030, 0x6d8, 0x802f, 0x6d1, 0x802f, 0x6cb, 0x802f, - 0x6c5, 0x802e, 0x6bf, 0x802e, 0x6b8, 0x802e, 0x6b2, 0x802d, - 0x6ac, 0x802d, 0x6a5, 0x802d, 0x69f, 0x802c, 0x699, 0x802c, - 0x693, 0x802c, 0x68c, 0x802b, 0x686, 0x802b, 0x680, 0x802b, - 0x67a, 0x802a, 0x673, 0x802a, 0x66d, 0x802a, 0x667, 0x802a, - 0x660, 0x8029, 0x65a, 0x8029, 0x654, 0x8029, 0x64e, 0x8028, - 0x647, 0x8028, 0x641, 0x8028, 0x63b, 0x8027, 0x635, 0x8027, - 0x62e, 0x8027, 0x628, 0x8026, 0x622, 0x8026, 0x61b, 0x8026, - 0x615, 0x8026, 0x60f, 0x8025, 0x609, 0x8025, 0x602, 0x8025, - 0x5fc, 0x8024, 0x5f6, 0x8024, 0x5ef, 0x8024, 0x5e9, 0x8023, - 0x5e3, 0x8023, 0x5dd, 0x8023, 0x5d6, 0x8023, 0x5d0, 0x8022, - 0x5ca, 0x8022, 0x5c4, 0x8022, 0x5bd, 0x8021, 0x5b7, 0x8021, - 0x5b1, 0x8021, 0x5aa, 0x8021, 0x5a4, 0x8020, 0x59e, 0x8020, - 0x598, 0x8020, 0x591, 0x8020, 0x58b, 0x801f, 0x585, 0x801f, - 0x57f, 0x801f, 0x578, 0x801e, 0x572, 0x801e, 0x56c, 0x801e, - 0x565, 0x801e, 0x55f, 0x801d, 0x559, 0x801d, 0x553, 0x801d, - 0x54c, 0x801d, 0x546, 0x801c, 0x540, 0x801c, 0x539, 0x801c, - 0x533, 0x801c, 0x52d, 0x801b, 0x527, 0x801b, 0x520, 0x801b, - 0x51a, 0x801b, 0x514, 0x801a, 0x50d, 0x801a, 0x507, 0x801a, - 0x501, 0x801a, 0x4fb, 0x8019, 0x4f4, 0x8019, 0x4ee, 0x8019, - 0x4e8, 0x8019, 0x4e2, 0x8018, 0x4db, 0x8018, 0x4d5, 0x8018, - 0x4cf, 0x8018, 0x4c8, 0x8017, 0x4c2, 0x8017, 0x4bc, 0x8017, - 0x4b6, 0x8017, 0x4af, 0x8016, 0x4a9, 0x8016, 0x4a3, 0x8016, - 0x49c, 0x8016, 0x496, 0x8016, 0x490, 0x8015, 0x48a, 0x8015, - 0x483, 0x8015, 0x47d, 0x8015, 0x477, 0x8014, 0x471, 0x8014, - 0x46a, 0x8014, 0x464, 0x8014, 0x45e, 0x8014, 0x457, 0x8013, - 0x451, 0x8013, 0x44b, 0x8013, 0x445, 0x8013, 0x43e, 0x8013, - 0x438, 0x8012, 0x432, 0x8012, 0x42b, 0x8012, 0x425, 0x8012, - 0x41f, 0x8012, 0x419, 0x8011, 0x412, 0x8011, 0x40c, 0x8011, - 0x406, 0x8011, 0x3ff, 0x8011, 0x3f9, 0x8010, 0x3f3, 0x8010, - 0x3ed, 0x8010, 0x3e6, 0x8010, 0x3e0, 0x8010, 0x3da, 0x800f, - 0x3d4, 0x800f, 0x3cd, 0x800f, 0x3c7, 0x800f, 0x3c1, 0x800f, - 0x3ba, 0x800e, 0x3b4, 0x800e, 0x3ae, 0x800e, 0x3a8, 0x800e, - 0x3a1, 0x800e, 0x39b, 0x800e, 0x395, 0x800d, 0x38e, 0x800d, - 0x388, 0x800d, 0x382, 0x800d, 0x37c, 0x800d, 0x375, 0x800c, - 0x36f, 0x800c, 0x369, 0x800c, 0x362, 0x800c, 0x35c, 0x800c, - 0x356, 0x800c, 0x350, 0x800b, 0x349, 0x800b, 0x343, 0x800b, - 0x33d, 0x800b, 0x337, 0x800b, 0x330, 0x800b, 0x32a, 0x800b, - 0x324, 0x800a, 0x31d, 0x800a, 0x317, 0x800a, 0x311, 0x800a, - 0x30b, 0x800a, 0x304, 0x800a, 0x2fe, 0x8009, 0x2f8, 0x8009, - 0x2f1, 0x8009, 0x2eb, 0x8009, 0x2e5, 0x8009, 0x2df, 0x8009, - 0x2d8, 0x8009, 0x2d2, 0x8008, 0x2cc, 0x8008, 0x2c5, 0x8008, - 0x2bf, 0x8008, 0x2b9, 0x8008, 0x2b3, 0x8008, 0x2ac, 0x8008, - 0x2a6, 0x8008, 0x2a0, 0x8007, 0x299, 0x8007, 0x293, 0x8007, - 0x28d, 0x8007, 0x287, 0x8007, 0x280, 0x8007, 0x27a, 0x8007, - 0x274, 0x8007, 0x26d, 0x8006, 0x267, 0x8006, 0x261, 0x8006, - 0x25b, 0x8006, 0x254, 0x8006, 0x24e, 0x8006, 0x248, 0x8006, - 0x242, 0x8006, 0x23b, 0x8005, 0x235, 0x8005, 0x22f, 0x8005, - 0x228, 0x8005, 0x222, 0x8005, 0x21c, 0x8005, 0x216, 0x8005, - 0x20f, 0x8005, 0x209, 0x8005, 0x203, 0x8005, 0x1fc, 0x8004, - 0x1f6, 0x8004, 0x1f0, 0x8004, 0x1ea, 0x8004, 0x1e3, 0x8004, - 0x1dd, 0x8004, 0x1d7, 0x8004, 0x1d0, 0x8004, 0x1ca, 0x8004, - 0x1c4, 0x8004, 0x1be, 0x8004, 0x1b7, 0x8003, 0x1b1, 0x8003, - 0x1ab, 0x8003, 0x1a4, 0x8003, 0x19e, 0x8003, 0x198, 0x8003, - 0x192, 0x8003, 0x18b, 0x8003, 0x185, 0x8003, 0x17f, 0x8003, - 0x178, 0x8003, 0x172, 0x8003, 0x16c, 0x8003, 0x166, 0x8002, - 0x15f, 0x8002, 0x159, 0x8002, 0x153, 0x8002, 0x14d, 0x8002, - 0x146, 0x8002, 0x140, 0x8002, 0x13a, 0x8002, 0x133, 0x8002, - 0x12d, 0x8002, 0x127, 0x8002, 0x121, 0x8002, 0x11a, 0x8002, - 0x114, 0x8002, 0x10e, 0x8002, 0x107, 0x8002, 0x101, 0x8002, - 0xfb, 0x8001, 0xf5, 0x8001, 0xee, 0x8001, 0xe8, 0x8001, - 0xe2, 0x8001, 0xdb, 0x8001, 0xd5, 0x8001, 0xcf, 0x8001, - 0xc9, 0x8001, 0xc2, 0x8001, 0xbc, 0x8001, 0xb6, 0x8001, - 0xaf, 0x8001, 0xa9, 0x8001, 0xa3, 0x8001, 0x9d, 0x8001, - 0x96, 0x8001, 0x90, 0x8001, 0x8a, 0x8001, 0x83, 0x8001, - 0x7d, 0x8001, 0x77, 0x8001, 0x71, 0x8001, 0x6a, 0x8001, - 0x64, 0x8001, 0x5e, 0x8001, 0x57, 0x8001, 0x51, 0x8001, - 0x4b, 0x8001, 0x45, 0x8001, 0x3e, 0x8001, 0x38, 0x8001, - 0x32, 0x8001, 0x2b, 0x8001, 0x25, 0x8001, 0x1f, 0x8001, - 0x19, 0x8001, 0x12, 0x8001, 0xc, 0x8001, 0x6, 0x8001, -}; - - -/** -* \par -* cosFactor tables are generated using the formula : <pre> cos_factors[n] = 2 * cos((2n+1)*pi/(4*N)) </pre> -* \par -* C command to generate the table -* <pre> -* for(i = 0; i< N; i++) -* { -* cos_factors[i]= 2 * cos((2*i+1)*c/2); -* } </pre> -* \par -* where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code> -* \par -* Then converted to q15 format by multiplying with 2^31 and saturated if required. - -*/ - -static const q15_t ALIGN4 cos_factorsQ15_128[128] = { - 0x7fff, 0x7ffa, 0x7ff0, 0x7fe1, 0x7fce, 0x7fb5, 0x7f97, 0x7f75, - 0x7f4d, 0x7f21, 0x7ef0, 0x7eba, 0x7e7f, 0x7e3f, 0x7dfa, 0x7db0, - 0x7d62, 0x7d0f, 0x7cb7, 0x7c5a, 0x7bf8, 0x7b92, 0x7b26, 0x7ab6, - 0x7a42, 0x79c8, 0x794a, 0x78c7, 0x7840, 0x77b4, 0x7723, 0x768e, - 0x75f4, 0x7555, 0x74b2, 0x740b, 0x735f, 0x72af, 0x71fa, 0x7141, - 0x7083, 0x6fc1, 0x6efb, 0x6e30, 0x6d62, 0x6c8f, 0x6bb8, 0x6adc, - 0x69fd, 0x6919, 0x6832, 0x6746, 0x6657, 0x6563, 0x646c, 0x6371, - 0x6271, 0x616f, 0x6068, 0x5f5e, 0x5e50, 0x5d3e, 0x5c29, 0x5b10, - 0x59f3, 0x58d4, 0x57b0, 0x568a, 0x5560, 0x5433, 0x5302, 0x51ce, - 0x5097, 0x4f5e, 0x4e21, 0x4ce1, 0x4b9e, 0x4a58, 0x490f, 0x47c3, - 0x4675, 0x4524, 0x43d0, 0x427a, 0x4121, 0x3fc5, 0x3e68, 0x3d07, - 0x3ba5, 0x3a40, 0x38d8, 0x376f, 0x3604, 0x3496, 0x3326, 0x31b5, - 0x3041, 0x2ecc, 0x2d55, 0x2bdc, 0x2a61, 0x28e5, 0x2767, 0x25e8, - 0x2467, 0x22e5, 0x2161, 0x1fdc, 0x1e56, 0x1ccf, 0x1b47, 0x19bd, - 0x1833, 0x16a8, 0x151b, 0x138e, 0x1201, 0x1072, 0xee3, 0xd53, - 0xbc3, 0xa33, 0x8a2, 0x710, 0x57f, 0x3ed, 0x25b, 0xc9 -}; - -static const q15_t ALIGN4 cos_factorsQ15_512[512] = { - 0x7fff, 0x7fff, 0x7fff, 0x7ffe, 0x7ffc, 0x7ffb, 0x7ff9, 0x7ff7, - 0x7ff4, 0x7ff2, 0x7fee, 0x7feb, 0x7fe7, 0x7fe3, 0x7fdf, 0x7fda, - 0x7fd6, 0x7fd0, 0x7fcb, 0x7fc5, 0x7fbf, 0x7fb8, 0x7fb1, 0x7faa, - 0x7fa3, 0x7f9b, 0x7f93, 0x7f8b, 0x7f82, 0x7f79, 0x7f70, 0x7f67, - 0x7f5d, 0x7f53, 0x7f48, 0x7f3d, 0x7f32, 0x7f27, 0x7f1b, 0x7f0f, - 0x7f03, 0x7ef6, 0x7ee9, 0x7edc, 0x7ecf, 0x7ec1, 0x7eb3, 0x7ea4, - 0x7e95, 0x7e86, 0x7e77, 0x7e67, 0x7e57, 0x7e47, 0x7e37, 0x7e26, - 0x7e14, 0x7e03, 0x7df1, 0x7ddf, 0x7dcd, 0x7dba, 0x7da7, 0x7d94, - 0x7d80, 0x7d6c, 0x7d58, 0x7d43, 0x7d2f, 0x7d19, 0x7d04, 0x7cee, - 0x7cd8, 0x7cc2, 0x7cab, 0x7c94, 0x7c7d, 0x7c66, 0x7c4e, 0x7c36, - 0x7c1d, 0x7c05, 0x7beb, 0x7bd2, 0x7bb9, 0x7b9f, 0x7b84, 0x7b6a, - 0x7b4f, 0x7b34, 0x7b19, 0x7afd, 0x7ae1, 0x7ac5, 0x7aa8, 0x7a8b, - 0x7a6e, 0x7a50, 0x7a33, 0x7a15, 0x79f6, 0x79d8, 0x79b9, 0x7999, - 0x797a, 0x795a, 0x793a, 0x7919, 0x78f9, 0x78d8, 0x78b6, 0x7895, - 0x7873, 0x7851, 0x782e, 0x780c, 0x77e9, 0x77c5, 0x77a2, 0x777e, - 0x775a, 0x7735, 0x7710, 0x76eb, 0x76c6, 0x76a0, 0x767b, 0x7654, - 0x762e, 0x7607, 0x75e0, 0x75b9, 0x7591, 0x7569, 0x7541, 0x7519, - 0x74f0, 0x74c7, 0x749e, 0x7474, 0x744a, 0x7420, 0x73f6, 0x73cb, - 0x73a0, 0x7375, 0x7349, 0x731d, 0x72f1, 0x72c5, 0x7298, 0x726b, - 0x723e, 0x7211, 0x71e3, 0x71b5, 0x7186, 0x7158, 0x7129, 0x70fa, - 0x70cb, 0x709b, 0x706b, 0x703b, 0x700a, 0x6fda, 0x6fa9, 0x6f77, - 0x6f46, 0x6f14, 0x6ee2, 0x6eaf, 0x6e7d, 0x6e4a, 0x6e17, 0x6de3, - 0x6db0, 0x6d7c, 0x6d48, 0x6d13, 0x6cde, 0x6ca9, 0x6c74, 0x6c3f, - 0x6c09, 0x6bd3, 0x6b9c, 0x6b66, 0x6b2f, 0x6af8, 0x6ac1, 0x6a89, - 0x6a51, 0x6a19, 0x69e1, 0x69a8, 0x696f, 0x6936, 0x68fd, 0x68c3, - 0x6889, 0x684f, 0x6815, 0x67da, 0x679f, 0x6764, 0x6729, 0x66ed, - 0x66b1, 0x6675, 0x6639, 0x65fc, 0x65bf, 0x6582, 0x6545, 0x6507, - 0x64c9, 0x648b, 0x644d, 0x640e, 0x63cf, 0x6390, 0x6351, 0x6311, - 0x62d2, 0x6292, 0x6251, 0x6211, 0x61d0, 0x618f, 0x614e, 0x610d, - 0x60cb, 0x6089, 0x6047, 0x6004, 0x5fc2, 0x5f7f, 0x5f3c, 0x5ef9, - 0x5eb5, 0x5e71, 0x5e2d, 0x5de9, 0x5da5, 0x5d60, 0x5d1b, 0x5cd6, - 0x5c91, 0x5c4b, 0x5c06, 0x5bc0, 0x5b79, 0x5b33, 0x5aec, 0x5aa5, - 0x5a5e, 0x5a17, 0x59d0, 0x5988, 0x5940, 0x58f8, 0x58af, 0x5867, - 0x581e, 0x57d5, 0x578c, 0x5742, 0x56f9, 0x56af, 0x5665, 0x561a, - 0x55d0, 0x5585, 0x553a, 0x54ef, 0x54a4, 0x5458, 0x540d, 0x53c1, - 0x5375, 0x5328, 0x52dc, 0x528f, 0x5242, 0x51f5, 0x51a8, 0x515a, - 0x510c, 0x50bf, 0x5070, 0x5022, 0x4fd4, 0x4f85, 0x4f36, 0x4ee7, - 0x4e98, 0x4e48, 0x4df9, 0x4da9, 0x4d59, 0x4d09, 0x4cb8, 0x4c68, - 0x4c17, 0x4bc6, 0x4b75, 0x4b24, 0x4ad2, 0x4a81, 0x4a2f, 0x49dd, - 0x498a, 0x4938, 0x48e6, 0x4893, 0x4840, 0x47ed, 0x479a, 0x4746, - 0x46f3, 0x469f, 0x464b, 0x45f7, 0x45a3, 0x454e, 0x44fa, 0x44a5, - 0x4450, 0x43fb, 0x43a5, 0x4350, 0x42fa, 0x42a5, 0x424f, 0x41f9, - 0x41a2, 0x414c, 0x40f6, 0x409f, 0x4048, 0x3ff1, 0x3f9a, 0x3f43, - 0x3eeb, 0x3e93, 0x3e3c, 0x3de4, 0x3d8c, 0x3d33, 0x3cdb, 0x3c83, - 0x3c2a, 0x3bd1, 0x3b78, 0x3b1f, 0x3ac6, 0x3a6c, 0x3a13, 0x39b9, - 0x395f, 0x3906, 0x38ab, 0x3851, 0x37f7, 0x379c, 0x3742, 0x36e7, - 0x368c, 0x3631, 0x35d6, 0x357b, 0x351f, 0x34c4, 0x3468, 0x340c, - 0x33b0, 0x3354, 0x32f8, 0x329c, 0x3240, 0x31e3, 0x3186, 0x312a, - 0x30cd, 0x3070, 0x3013, 0x2fb5, 0x2f58, 0x2efb, 0x2e9d, 0x2e3f, - 0x2de2, 0x2d84, 0x2d26, 0x2cc8, 0x2c69, 0x2c0b, 0x2bad, 0x2b4e, - 0x2aef, 0x2a91, 0x2a32, 0x29d3, 0x2974, 0x2915, 0x28b5, 0x2856, - 0x27f6, 0x2797, 0x2737, 0x26d8, 0x2678, 0x2618, 0x25b8, 0x2558, - 0x24f7, 0x2497, 0x2437, 0x23d6, 0x2376, 0x2315, 0x22b4, 0x2254, - 0x21f3, 0x2192, 0x2131, 0x20d0, 0x206e, 0x200d, 0x1fac, 0x1f4a, - 0x1ee9, 0x1e87, 0x1e25, 0x1dc4, 0x1d62, 0x1d00, 0x1c9e, 0x1c3c, - 0x1bda, 0x1b78, 0x1b16, 0x1ab3, 0x1a51, 0x19ef, 0x198c, 0x192a, - 0x18c7, 0x1864, 0x1802, 0x179f, 0x173c, 0x16d9, 0x1676, 0x1613, - 0x15b0, 0x154d, 0x14ea, 0x1487, 0x1423, 0x13c0, 0x135d, 0x12f9, - 0x1296, 0x1232, 0x11cf, 0x116b, 0x1108, 0x10a4, 0x1040, 0xfdd, - 0xf79, 0xf15, 0xeb1, 0xe4d, 0xde9, 0xd85, 0xd21, 0xcbd, - 0xc59, 0xbf5, 0xb91, 0xb2d, 0xac9, 0xa65, 0xa00, 0x99c, - 0x938, 0x8d4, 0x86f, 0x80b, 0x7a7, 0x742, 0x6de, 0x67a, - 0x615, 0x5b1, 0x54c, 0x4e8, 0x483, 0x41f, 0x3ba, 0x356, - 0x2f1, 0x28d, 0x228, 0x1c4, 0x15f, 0xfb, 0x96, 0x32, -}; - -static const q15_t ALIGN4 cos_factorsQ15_2048[2048] = { - 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, - 0x7fff, 0x7fff, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffd, 0x7ffd, - 0x7ffd, 0x7ffd, 0x7ffc, 0x7ffc, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffa, - 0x7ffa, 0x7ff9, 0x7ff9, 0x7ff8, 0x7ff8, 0x7ff7, 0x7ff7, 0x7ff6, - 0x7ff5, 0x7ff5, 0x7ff4, 0x7ff3, 0x7ff3, 0x7ff2, 0x7ff1, 0x7ff0, - 0x7ff0, 0x7fef, 0x7fee, 0x7fed, 0x7fec, 0x7fec, 0x7feb, 0x7fea, - 0x7fe9, 0x7fe8, 0x7fe7, 0x7fe6, 0x7fe5, 0x7fe4, 0x7fe3, 0x7fe2, - 0x7fe1, 0x7fe0, 0x7fdf, 0x7fdd, 0x7fdc, 0x7fdb, 0x7fda, 0x7fd9, - 0x7fd7, 0x7fd6, 0x7fd5, 0x7fd4, 0x7fd2, 0x7fd1, 0x7fd0, 0x7fce, - 0x7fcd, 0x7fcb, 0x7fca, 0x7fc9, 0x7fc7, 0x7fc6, 0x7fc4, 0x7fc3, - 0x7fc1, 0x7fc0, 0x7fbe, 0x7fbc, 0x7fbb, 0x7fb9, 0x7fb7, 0x7fb6, - 0x7fb4, 0x7fb2, 0x7fb1, 0x7faf, 0x7fad, 0x7fab, 0x7fa9, 0x7fa8, - 0x7fa6, 0x7fa4, 0x7fa2, 0x7fa0, 0x7f9e, 0x7f9c, 0x7f9a, 0x7f98, - 0x7f96, 0x7f94, 0x7f92, 0x7f90, 0x7f8e, 0x7f8c, 0x7f8a, 0x7f88, - 0x7f86, 0x7f83, 0x7f81, 0x7f7f, 0x7f7d, 0x7f7b, 0x7f78, 0x7f76, - 0x7f74, 0x7f71, 0x7f6f, 0x7f6d, 0x7f6a, 0x7f68, 0x7f65, 0x7f63, - 0x7f60, 0x7f5e, 0x7f5b, 0x7f59, 0x7f56, 0x7f54, 0x7f51, 0x7f4f, - 0x7f4c, 0x7f49, 0x7f47, 0x7f44, 0x7f41, 0x7f3f, 0x7f3c, 0x7f39, - 0x7f36, 0x7f34, 0x7f31, 0x7f2e, 0x7f2b, 0x7f28, 0x7f25, 0x7f23, - 0x7f20, 0x7f1d, 0x7f1a, 0x7f17, 0x7f14, 0x7f11, 0x7f0e, 0x7f0b, - 0x7f08, 0x7f04, 0x7f01, 0x7efe, 0x7efb, 0x7ef8, 0x7ef5, 0x7ef1, - 0x7eee, 0x7eeb, 0x7ee8, 0x7ee4, 0x7ee1, 0x7ede, 0x7eda, 0x7ed7, - 0x7ed4, 0x7ed0, 0x7ecd, 0x7ec9, 0x7ec6, 0x7ec3, 0x7ebf, 0x7ebb, - 0x7eb8, 0x7eb4, 0x7eb1, 0x7ead, 0x7eaa, 0x7ea6, 0x7ea2, 0x7e9f, - 0x7e9b, 0x7e97, 0x7e94, 0x7e90, 0x7e8c, 0x7e88, 0x7e84, 0x7e81, - 0x7e7d, 0x7e79, 0x7e75, 0x7e71, 0x7e6d, 0x7e69, 0x7e65, 0x7e61, - 0x7e5d, 0x7e59, 0x7e55, 0x7e51, 0x7e4d, 0x7e49, 0x7e45, 0x7e41, - 0x7e3d, 0x7e39, 0x7e34, 0x7e30, 0x7e2c, 0x7e28, 0x7e24, 0x7e1f, - 0x7e1b, 0x7e17, 0x7e12, 0x7e0e, 0x7e0a, 0x7e05, 0x7e01, 0x7dfc, - 0x7df8, 0x7df3, 0x7def, 0x7dea, 0x7de6, 0x7de1, 0x7ddd, 0x7dd8, - 0x7dd4, 0x7dcf, 0x7dca, 0x7dc6, 0x7dc1, 0x7dbc, 0x7db8, 0x7db3, - 0x7dae, 0x7da9, 0x7da5, 0x7da0, 0x7d9b, 0x7d96, 0x7d91, 0x7d8c, - 0x7d87, 0x7d82, 0x7d7e, 0x7d79, 0x7d74, 0x7d6f, 0x7d6a, 0x7d65, - 0x7d60, 0x7d5a, 0x7d55, 0x7d50, 0x7d4b, 0x7d46, 0x7d41, 0x7d3c, - 0x7d36, 0x7d31, 0x7d2c, 0x7d27, 0x7d21, 0x7d1c, 0x7d17, 0x7d11, - 0x7d0c, 0x7d07, 0x7d01, 0x7cfc, 0x7cf6, 0x7cf1, 0x7cec, 0x7ce6, - 0x7ce1, 0x7cdb, 0x7cd5, 0x7cd0, 0x7cca, 0x7cc5, 0x7cbf, 0x7cb9, - 0x7cb4, 0x7cae, 0x7ca8, 0x7ca3, 0x7c9d, 0x7c97, 0x7c91, 0x7c8c, - 0x7c86, 0x7c80, 0x7c7a, 0x7c74, 0x7c6e, 0x7c69, 0x7c63, 0x7c5d, - 0x7c57, 0x7c51, 0x7c4b, 0x7c45, 0x7c3f, 0x7c39, 0x7c33, 0x7c2d, - 0x7c26, 0x7c20, 0x7c1a, 0x7c14, 0x7c0e, 0x7c08, 0x7c01, 0x7bfb, - 0x7bf5, 0x7bef, 0x7be8, 0x7be2, 0x7bdc, 0x7bd5, 0x7bcf, 0x7bc9, - 0x7bc2, 0x7bbc, 0x7bb5, 0x7baf, 0x7ba8, 0x7ba2, 0x7b9b, 0x7b95, - 0x7b8e, 0x7b88, 0x7b81, 0x7b7a, 0x7b74, 0x7b6d, 0x7b67, 0x7b60, - 0x7b59, 0x7b52, 0x7b4c, 0x7b45, 0x7b3e, 0x7b37, 0x7b31, 0x7b2a, - 0x7b23, 0x7b1c, 0x7b15, 0x7b0e, 0x7b07, 0x7b00, 0x7af9, 0x7af2, - 0x7aeb, 0x7ae4, 0x7add, 0x7ad6, 0x7acf, 0x7ac8, 0x7ac1, 0x7aba, - 0x7ab3, 0x7aac, 0x7aa4, 0x7a9d, 0x7a96, 0x7a8f, 0x7a87, 0x7a80, - 0x7a79, 0x7a72, 0x7a6a, 0x7a63, 0x7a5c, 0x7a54, 0x7a4d, 0x7a45, - 0x7a3e, 0x7a36, 0x7a2f, 0x7a27, 0x7a20, 0x7a18, 0x7a11, 0x7a09, - 0x7a02, 0x79fa, 0x79f2, 0x79eb, 0x79e3, 0x79db, 0x79d4, 0x79cc, - 0x79c4, 0x79bc, 0x79b5, 0x79ad, 0x79a5, 0x799d, 0x7995, 0x798e, - 0x7986, 0x797e, 0x7976, 0x796e, 0x7966, 0x795e, 0x7956, 0x794e, - 0x7946, 0x793e, 0x7936, 0x792e, 0x7926, 0x791e, 0x7915, 0x790d, - 0x7905, 0x78fd, 0x78f5, 0x78ec, 0x78e4, 0x78dc, 0x78d4, 0x78cb, - 0x78c3, 0x78bb, 0x78b2, 0x78aa, 0x78a2, 0x7899, 0x7891, 0x7888, - 0x7880, 0x7877, 0x786f, 0x7866, 0x785e, 0x7855, 0x784d, 0x7844, - 0x783b, 0x7833, 0x782a, 0x7821, 0x7819, 0x7810, 0x7807, 0x77ff, - 0x77f6, 0x77ed, 0x77e4, 0x77db, 0x77d3, 0x77ca, 0x77c1, 0x77b8, - 0x77af, 0x77a6, 0x779d, 0x7794, 0x778b, 0x7782, 0x7779, 0x7770, - 0x7767, 0x775e, 0x7755, 0x774c, 0x7743, 0x773a, 0x7731, 0x7727, - 0x771e, 0x7715, 0x770c, 0x7703, 0x76f9, 0x76f0, 0x76e7, 0x76dd, - 0x76d4, 0x76cb, 0x76c1, 0x76b8, 0x76af, 0x76a5, 0x769c, 0x7692, - 0x7689, 0x767f, 0x7676, 0x766c, 0x7663, 0x7659, 0x7650, 0x7646, - 0x763c, 0x7633, 0x7629, 0x761f, 0x7616, 0x760c, 0x7602, 0x75f9, - 0x75ef, 0x75e5, 0x75db, 0x75d1, 0x75c8, 0x75be, 0x75b4, 0x75aa, - 0x75a0, 0x7596, 0x758c, 0x7582, 0x7578, 0x756e, 0x7564, 0x755a, - 0x7550, 0x7546, 0x753c, 0x7532, 0x7528, 0x751e, 0x7514, 0x7509, - 0x74ff, 0x74f5, 0x74eb, 0x74e1, 0x74d6, 0x74cc, 0x74c2, 0x74b7, - 0x74ad, 0x74a3, 0x7498, 0x748e, 0x7484, 0x7479, 0x746f, 0x7464, - 0x745a, 0x744f, 0x7445, 0x743a, 0x7430, 0x7425, 0x741b, 0x7410, - 0x7406, 0x73fb, 0x73f0, 0x73e6, 0x73db, 0x73d0, 0x73c6, 0x73bb, - 0x73b0, 0x73a5, 0x739b, 0x7390, 0x7385, 0x737a, 0x736f, 0x7364, - 0x7359, 0x734f, 0x7344, 0x7339, 0x732e, 0x7323, 0x7318, 0x730d, - 0x7302, 0x72f7, 0x72ec, 0x72e1, 0x72d5, 0x72ca, 0x72bf, 0x72b4, - 0x72a9, 0x729e, 0x7293, 0x7287, 0x727c, 0x7271, 0x7266, 0x725a, - 0x724f, 0x7244, 0x7238, 0x722d, 0x7222, 0x7216, 0x720b, 0x71ff, - 0x71f4, 0x71e9, 0x71dd, 0x71d2, 0x71c6, 0x71bb, 0x71af, 0x71a3, - 0x7198, 0x718c, 0x7181, 0x7175, 0x7169, 0x715e, 0x7152, 0x7146, - 0x713b, 0x712f, 0x7123, 0x7117, 0x710c, 0x7100, 0x70f4, 0x70e8, - 0x70dc, 0x70d1, 0x70c5, 0x70b9, 0x70ad, 0x70a1, 0x7095, 0x7089, - 0x707d, 0x7071, 0x7065, 0x7059, 0x704d, 0x7041, 0x7035, 0x7029, - 0x701d, 0x7010, 0x7004, 0x6ff8, 0x6fec, 0x6fe0, 0x6fd3, 0x6fc7, - 0x6fbb, 0x6faf, 0x6fa2, 0x6f96, 0x6f8a, 0x6f7d, 0x6f71, 0x6f65, - 0x6f58, 0x6f4c, 0x6f3f, 0x6f33, 0x6f27, 0x6f1a, 0x6f0e, 0x6f01, - 0x6ef5, 0x6ee8, 0x6edc, 0x6ecf, 0x6ec2, 0x6eb6, 0x6ea9, 0x6e9c, - 0x6e90, 0x6e83, 0x6e76, 0x6e6a, 0x6e5d, 0x6e50, 0x6e44, 0x6e37, - 0x6e2a, 0x6e1d, 0x6e10, 0x6e04, 0x6df7, 0x6dea, 0x6ddd, 0x6dd0, - 0x6dc3, 0x6db6, 0x6da9, 0x6d9c, 0x6d8f, 0x6d82, 0x6d75, 0x6d68, - 0x6d5b, 0x6d4e, 0x6d41, 0x6d34, 0x6d27, 0x6d1a, 0x6d0c, 0x6cff, - 0x6cf2, 0x6ce5, 0x6cd8, 0x6cca, 0x6cbd, 0x6cb0, 0x6ca3, 0x6c95, - 0x6c88, 0x6c7b, 0x6c6d, 0x6c60, 0x6c53, 0x6c45, 0x6c38, 0x6c2a, - 0x6c1d, 0x6c0f, 0x6c02, 0x6bf5, 0x6be7, 0x6bd9, 0x6bcc, 0x6bbe, - 0x6bb1, 0x6ba3, 0x6b96, 0x6b88, 0x6b7a, 0x6b6d, 0x6b5f, 0x6b51, - 0x6b44, 0x6b36, 0x6b28, 0x6b1a, 0x6b0d, 0x6aff, 0x6af1, 0x6ae3, - 0x6ad5, 0x6ac8, 0x6aba, 0x6aac, 0x6a9e, 0x6a90, 0x6a82, 0x6a74, - 0x6a66, 0x6a58, 0x6a4a, 0x6a3c, 0x6a2e, 0x6a20, 0x6a12, 0x6a04, - 0x69f6, 0x69e8, 0x69da, 0x69cb, 0x69bd, 0x69af, 0x69a1, 0x6993, - 0x6985, 0x6976, 0x6968, 0x695a, 0x694b, 0x693d, 0x692f, 0x6921, - 0x6912, 0x6904, 0x68f5, 0x68e7, 0x68d9, 0x68ca, 0x68bc, 0x68ad, - 0x689f, 0x6890, 0x6882, 0x6873, 0x6865, 0x6856, 0x6848, 0x6839, - 0x682b, 0x681c, 0x680d, 0x67ff, 0x67f0, 0x67e1, 0x67d3, 0x67c4, - 0x67b5, 0x67a6, 0x6798, 0x6789, 0x677a, 0x676b, 0x675d, 0x674e, - 0x673f, 0x6730, 0x6721, 0x6712, 0x6703, 0x66f4, 0x66e5, 0x66d6, - 0x66c8, 0x66b9, 0x66aa, 0x669b, 0x668b, 0x667c, 0x666d, 0x665e, - 0x664f, 0x6640, 0x6631, 0x6622, 0x6613, 0x6603, 0x65f4, 0x65e5, - 0x65d6, 0x65c7, 0x65b7, 0x65a8, 0x6599, 0x658a, 0x657a, 0x656b, - 0x655c, 0x654c, 0x653d, 0x652d, 0x651e, 0x650f, 0x64ff, 0x64f0, - 0x64e0, 0x64d1, 0x64c1, 0x64b2, 0x64a2, 0x6493, 0x6483, 0x6474, - 0x6464, 0x6454, 0x6445, 0x6435, 0x6426, 0x6416, 0x6406, 0x63f7, - 0x63e7, 0x63d7, 0x63c7, 0x63b8, 0x63a8, 0x6398, 0x6388, 0x6378, - 0x6369, 0x6359, 0x6349, 0x6339, 0x6329, 0x6319, 0x6309, 0x62f9, - 0x62ea, 0x62da, 0x62ca, 0x62ba, 0x62aa, 0x629a, 0x628a, 0x627a, - 0x6269, 0x6259, 0x6249, 0x6239, 0x6229, 0x6219, 0x6209, 0x61f9, - 0x61e8, 0x61d8, 0x61c8, 0x61b8, 0x61a8, 0x6197, 0x6187, 0x6177, - 0x6166, 0x6156, 0x6146, 0x6135, 0x6125, 0x6115, 0x6104, 0x60f4, - 0x60e4, 0x60d3, 0x60c3, 0x60b2, 0x60a2, 0x6091, 0x6081, 0x6070, - 0x6060, 0x604f, 0x603f, 0x602e, 0x601d, 0x600d, 0x5ffc, 0x5fec, - 0x5fdb, 0x5fca, 0x5fba, 0x5fa9, 0x5f98, 0x5f87, 0x5f77, 0x5f66, - 0x5f55, 0x5f44, 0x5f34, 0x5f23, 0x5f12, 0x5f01, 0x5ef0, 0x5edf, - 0x5ecf, 0x5ebe, 0x5ead, 0x5e9c, 0x5e8b, 0x5e7a, 0x5e69, 0x5e58, - 0x5e47, 0x5e36, 0x5e25, 0x5e14, 0x5e03, 0x5df2, 0x5de1, 0x5dd0, - 0x5dbf, 0x5dad, 0x5d9c, 0x5d8b, 0x5d7a, 0x5d69, 0x5d58, 0x5d46, - 0x5d35, 0x5d24, 0x5d13, 0x5d01, 0x5cf0, 0x5cdf, 0x5cce, 0x5cbc, - 0x5cab, 0x5c9a, 0x5c88, 0x5c77, 0x5c66, 0x5c54, 0x5c43, 0x5c31, - 0x5c20, 0x5c0e, 0x5bfd, 0x5beb, 0x5bda, 0x5bc8, 0x5bb7, 0x5ba5, - 0x5b94, 0x5b82, 0x5b71, 0x5b5f, 0x5b4d, 0x5b3c, 0x5b2a, 0x5b19, - 0x5b07, 0x5af5, 0x5ae4, 0x5ad2, 0x5ac0, 0x5aae, 0x5a9d, 0x5a8b, - 0x5a79, 0x5a67, 0x5a56, 0x5a44, 0x5a32, 0x5a20, 0x5a0e, 0x59fc, - 0x59ea, 0x59d9, 0x59c7, 0x59b5, 0x59a3, 0x5991, 0x597f, 0x596d, - 0x595b, 0x5949, 0x5937, 0x5925, 0x5913, 0x5901, 0x58ef, 0x58dd, - 0x58cb, 0x58b8, 0x58a6, 0x5894, 0x5882, 0x5870, 0x585e, 0x584b, - 0x5839, 0x5827, 0x5815, 0x5803, 0x57f0, 0x57de, 0x57cc, 0x57b9, - 0x57a7, 0x5795, 0x5783, 0x5770, 0x575e, 0x574b, 0x5739, 0x5727, - 0x5714, 0x5702, 0x56ef, 0x56dd, 0x56ca, 0x56b8, 0x56a5, 0x5693, - 0x5680, 0x566e, 0x565b, 0x5649, 0x5636, 0x5624, 0x5611, 0x55fe, - 0x55ec, 0x55d9, 0x55c7, 0x55b4, 0x55a1, 0x558f, 0x557c, 0x5569, - 0x5556, 0x5544, 0x5531, 0x551e, 0x550b, 0x54f9, 0x54e6, 0x54d3, - 0x54c0, 0x54ad, 0x549a, 0x5488, 0x5475, 0x5462, 0x544f, 0x543c, - 0x5429, 0x5416, 0x5403, 0x53f0, 0x53dd, 0x53ca, 0x53b7, 0x53a4, - 0x5391, 0x537e, 0x536b, 0x5358, 0x5345, 0x5332, 0x531f, 0x530c, - 0x52f8, 0x52e5, 0x52d2, 0x52bf, 0x52ac, 0x5299, 0x5285, 0x5272, - 0x525f, 0x524c, 0x5238, 0x5225, 0x5212, 0x51ff, 0x51eb, 0x51d8, - 0x51c5, 0x51b1, 0x519e, 0x518b, 0x5177, 0x5164, 0x5150, 0x513d, - 0x512a, 0x5116, 0x5103, 0x50ef, 0x50dc, 0x50c8, 0x50b5, 0x50a1, - 0x508e, 0x507a, 0x5067, 0x5053, 0x503f, 0x502c, 0x5018, 0x5005, - 0x4ff1, 0x4fdd, 0x4fca, 0x4fb6, 0x4fa2, 0x4f8f, 0x4f7b, 0x4f67, - 0x4f54, 0x4f40, 0x4f2c, 0x4f18, 0x4f05, 0x4ef1, 0x4edd, 0x4ec9, - 0x4eb6, 0x4ea2, 0x4e8e, 0x4e7a, 0x4e66, 0x4e52, 0x4e3e, 0x4e2a, - 0x4e17, 0x4e03, 0x4def, 0x4ddb, 0x4dc7, 0x4db3, 0x4d9f, 0x4d8b, - 0x4d77, 0x4d63, 0x4d4f, 0x4d3b, 0x4d27, 0x4d13, 0x4cff, 0x4ceb, - 0x4cd6, 0x4cc2, 0x4cae, 0x4c9a, 0x4c86, 0x4c72, 0x4c5e, 0x4c49, - 0x4c35, 0x4c21, 0x4c0d, 0x4bf9, 0x4be4, 0x4bd0, 0x4bbc, 0x4ba8, - 0x4b93, 0x4b7f, 0x4b6b, 0x4b56, 0x4b42, 0x4b2e, 0x4b19, 0x4b05, - 0x4af1, 0x4adc, 0x4ac8, 0x4ab4, 0x4a9f, 0x4a8b, 0x4a76, 0x4a62, - 0x4a4d, 0x4a39, 0x4a24, 0x4a10, 0x49fb, 0x49e7, 0x49d2, 0x49be, - 0x49a9, 0x4995, 0x4980, 0x496c, 0x4957, 0x4942, 0x492e, 0x4919, - 0x4905, 0x48f0, 0x48db, 0x48c7, 0x48b2, 0x489d, 0x4888, 0x4874, - 0x485f, 0x484a, 0x4836, 0x4821, 0x480c, 0x47f7, 0x47e2, 0x47ce, - 0x47b9, 0x47a4, 0x478f, 0x477a, 0x4765, 0x4751, 0x473c, 0x4727, - 0x4712, 0x46fd, 0x46e8, 0x46d3, 0x46be, 0x46a9, 0x4694, 0x467f, - 0x466a, 0x4655, 0x4640, 0x462b, 0x4616, 0x4601, 0x45ec, 0x45d7, - 0x45c2, 0x45ad, 0x4598, 0x4583, 0x456e, 0x4559, 0x4544, 0x452e, - 0x4519, 0x4504, 0x44ef, 0x44da, 0x44c5, 0x44af, 0x449a, 0x4485, - 0x4470, 0x445a, 0x4445, 0x4430, 0x441b, 0x4405, 0x43f0, 0x43db, - 0x43c5, 0x43b0, 0x439b, 0x4385, 0x4370, 0x435b, 0x4345, 0x4330, - 0x431b, 0x4305, 0x42f0, 0x42da, 0x42c5, 0x42af, 0x429a, 0x4284, - 0x426f, 0x425a, 0x4244, 0x422f, 0x4219, 0x4203, 0x41ee, 0x41d8, - 0x41c3, 0x41ad, 0x4198, 0x4182, 0x416d, 0x4157, 0x4141, 0x412c, - 0x4116, 0x4100, 0x40eb, 0x40d5, 0x40bf, 0x40aa, 0x4094, 0x407e, - 0x4069, 0x4053, 0x403d, 0x4027, 0x4012, 0x3ffc, 0x3fe6, 0x3fd0, - 0x3fbb, 0x3fa5, 0x3f8f, 0x3f79, 0x3f63, 0x3f4d, 0x3f38, 0x3f22, - 0x3f0c, 0x3ef6, 0x3ee0, 0x3eca, 0x3eb4, 0x3e9e, 0x3e88, 0x3e73, - 0x3e5d, 0x3e47, 0x3e31, 0x3e1b, 0x3e05, 0x3def, 0x3dd9, 0x3dc3, - 0x3dad, 0x3d97, 0x3d81, 0x3d6b, 0x3d55, 0x3d3e, 0x3d28, 0x3d12, - 0x3cfc, 0x3ce6, 0x3cd0, 0x3cba, 0x3ca4, 0x3c8e, 0x3c77, 0x3c61, - 0x3c4b, 0x3c35, 0x3c1f, 0x3c09, 0x3bf2, 0x3bdc, 0x3bc6, 0x3bb0, - 0x3b99, 0x3b83, 0x3b6d, 0x3b57, 0x3b40, 0x3b2a, 0x3b14, 0x3afe, - 0x3ae7, 0x3ad1, 0x3abb, 0x3aa4, 0x3a8e, 0x3a78, 0x3a61, 0x3a4b, - 0x3a34, 0x3a1e, 0x3a08, 0x39f1, 0x39db, 0x39c4, 0x39ae, 0x3998, - 0x3981, 0x396b, 0x3954, 0x393e, 0x3927, 0x3911, 0x38fa, 0x38e4, - 0x38cd, 0x38b7, 0x38a0, 0x388a, 0x3873, 0x385d, 0x3846, 0x382f, - 0x3819, 0x3802, 0x37ec, 0x37d5, 0x37be, 0x37a8, 0x3791, 0x377a, - 0x3764, 0x374d, 0x3736, 0x3720, 0x3709, 0x36f2, 0x36dc, 0x36c5, - 0x36ae, 0x3698, 0x3681, 0x366a, 0x3653, 0x363d, 0x3626, 0x360f, - 0x35f8, 0x35e1, 0x35cb, 0x35b4, 0x359d, 0x3586, 0x356f, 0x3558, - 0x3542, 0x352b, 0x3514, 0x34fd, 0x34e6, 0x34cf, 0x34b8, 0x34a1, - 0x348b, 0x3474, 0x345d, 0x3446, 0x342f, 0x3418, 0x3401, 0x33ea, - 0x33d3, 0x33bc, 0x33a5, 0x338e, 0x3377, 0x3360, 0x3349, 0x3332, - 0x331b, 0x3304, 0x32ed, 0x32d6, 0x32bf, 0x32a8, 0x3290, 0x3279, - 0x3262, 0x324b, 0x3234, 0x321d, 0x3206, 0x31ef, 0x31d8, 0x31c0, - 0x31a9, 0x3192, 0x317b, 0x3164, 0x314c, 0x3135, 0x311e, 0x3107, - 0x30f0, 0x30d8, 0x30c1, 0x30aa, 0x3093, 0x307b, 0x3064, 0x304d, - 0x3036, 0x301e, 0x3007, 0x2ff0, 0x2fd8, 0x2fc1, 0x2faa, 0x2f92, - 0x2f7b, 0x2f64, 0x2f4c, 0x2f35, 0x2f1e, 0x2f06, 0x2eef, 0x2ed8, - 0x2ec0, 0x2ea9, 0x2e91, 0x2e7a, 0x2e63, 0x2e4b, 0x2e34, 0x2e1c, - 0x2e05, 0x2ded, 0x2dd6, 0x2dbe, 0x2da7, 0x2d8f, 0x2d78, 0x2d60, - 0x2d49, 0x2d31, 0x2d1a, 0x2d02, 0x2ceb, 0x2cd3, 0x2cbc, 0x2ca4, - 0x2c8d, 0x2c75, 0x2c5e, 0x2c46, 0x2c2e, 0x2c17, 0x2bff, 0x2be8, - 0x2bd0, 0x2bb8, 0x2ba1, 0x2b89, 0x2b71, 0x2b5a, 0x2b42, 0x2b2b, - 0x2b13, 0x2afb, 0x2ae4, 0x2acc, 0x2ab4, 0x2a9c, 0x2a85, 0x2a6d, - 0x2a55, 0x2a3e, 0x2a26, 0x2a0e, 0x29f6, 0x29df, 0x29c7, 0x29af, - 0x2997, 0x2980, 0x2968, 0x2950, 0x2938, 0x2920, 0x2909, 0x28f1, - 0x28d9, 0x28c1, 0x28a9, 0x2892, 0x287a, 0x2862, 0x284a, 0x2832, - 0x281a, 0x2802, 0x27eb, 0x27d3, 0x27bb, 0x27a3, 0x278b, 0x2773, - 0x275b, 0x2743, 0x272b, 0x2713, 0x26fb, 0x26e4, 0x26cc, 0x26b4, - 0x269c, 0x2684, 0x266c, 0x2654, 0x263c, 0x2624, 0x260c, 0x25f4, - 0x25dc, 0x25c4, 0x25ac, 0x2594, 0x257c, 0x2564, 0x254c, 0x2534, - 0x251c, 0x2503, 0x24eb, 0x24d3, 0x24bb, 0x24a3, 0x248b, 0x2473, - 0x245b, 0x2443, 0x242b, 0x2413, 0x23fa, 0x23e2, 0x23ca, 0x23b2, - 0x239a, 0x2382, 0x236a, 0x2352, 0x2339, 0x2321, 0x2309, 0x22f1, - 0x22d9, 0x22c0, 0x22a8, 0x2290, 0x2278, 0x2260, 0x2247, 0x222f, - 0x2217, 0x21ff, 0x21e7, 0x21ce, 0x21b6, 0x219e, 0x2186, 0x216d, - 0x2155, 0x213d, 0x2125, 0x210c, 0x20f4, 0x20dc, 0x20c3, 0x20ab, - 0x2093, 0x207a, 0x2062, 0x204a, 0x2032, 0x2019, 0x2001, 0x1fe9, - 0x1fd0, 0x1fb8, 0x1f9f, 0x1f87, 0x1f6f, 0x1f56, 0x1f3e, 0x1f26, - 0x1f0d, 0x1ef5, 0x1edd, 0x1ec4, 0x1eac, 0x1e93, 0x1e7b, 0x1e62, - 0x1e4a, 0x1e32, 0x1e19, 0x1e01, 0x1de8, 0x1dd0, 0x1db7, 0x1d9f, - 0x1d87, 0x1d6e, 0x1d56, 0x1d3d, 0x1d25, 0x1d0c, 0x1cf4, 0x1cdb, - 0x1cc3, 0x1caa, 0x1c92, 0x1c79, 0x1c61, 0x1c48, 0x1c30, 0x1c17, - 0x1bff, 0x1be6, 0x1bce, 0x1bb5, 0x1b9d, 0x1b84, 0x1b6c, 0x1b53, - 0x1b3a, 0x1b22, 0x1b09, 0x1af1, 0x1ad8, 0x1ac0, 0x1aa7, 0x1a8e, - 0x1a76, 0x1a5d, 0x1a45, 0x1a2c, 0x1a13, 0x19fb, 0x19e2, 0x19ca, - 0x19b1, 0x1998, 0x1980, 0x1967, 0x194e, 0x1936, 0x191d, 0x1905, - 0x18ec, 0x18d3, 0x18bb, 0x18a2, 0x1889, 0x1871, 0x1858, 0x183f, - 0x1827, 0x180e, 0x17f5, 0x17dd, 0x17c4, 0x17ab, 0x1792, 0x177a, - 0x1761, 0x1748, 0x1730, 0x1717, 0x16fe, 0x16e5, 0x16cd, 0x16b4, - 0x169b, 0x1682, 0x166a, 0x1651, 0x1638, 0x161f, 0x1607, 0x15ee, - 0x15d5, 0x15bc, 0x15a4, 0x158b, 0x1572, 0x1559, 0x1541, 0x1528, - 0x150f, 0x14f6, 0x14dd, 0x14c5, 0x14ac, 0x1493, 0x147a, 0x1461, - 0x1449, 0x1430, 0x1417, 0x13fe, 0x13e5, 0x13cc, 0x13b4, 0x139b, - 0x1382, 0x1369, 0x1350, 0x1337, 0x131f, 0x1306, 0x12ed, 0x12d4, - 0x12bb, 0x12a2, 0x1289, 0x1271, 0x1258, 0x123f, 0x1226, 0x120d, - 0x11f4, 0x11db, 0x11c2, 0x11a9, 0x1191, 0x1178, 0x115f, 0x1146, - 0x112d, 0x1114, 0x10fb, 0x10e2, 0x10c9, 0x10b0, 0x1098, 0x107f, - 0x1066, 0x104d, 0x1034, 0x101b, 0x1002, 0xfe9, 0xfd0, 0xfb7, - 0xf9e, 0xf85, 0xf6c, 0xf53, 0xf3a, 0xf21, 0xf08, 0xef0, - 0xed7, 0xebe, 0xea5, 0xe8c, 0xe73, 0xe5a, 0xe41, 0xe28, - 0xe0f, 0xdf6, 0xddd, 0xdc4, 0xdab, 0xd92, 0xd79, 0xd60, - 0xd47, 0xd2e, 0xd15, 0xcfc, 0xce3, 0xcca, 0xcb1, 0xc98, - 0xc7f, 0xc66, 0xc4d, 0xc34, 0xc1b, 0xc02, 0xbe9, 0xbd0, - 0xbb7, 0xb9e, 0xb85, 0xb6c, 0xb53, 0xb3a, 0xb20, 0xb07, - 0xaee, 0xad5, 0xabc, 0xaa3, 0xa8a, 0xa71, 0xa58, 0xa3f, - 0xa26, 0xa0d, 0x9f4, 0x9db, 0x9c2, 0x9a9, 0x990, 0x977, - 0x95e, 0x944, 0x92b, 0x912, 0x8f9, 0x8e0, 0x8c7, 0x8ae, - 0x895, 0x87c, 0x863, 0x84a, 0x831, 0x818, 0x7fe, 0x7e5, - 0x7cc, 0x7b3, 0x79a, 0x781, 0x768, 0x74f, 0x736, 0x71d, - 0x704, 0x6ea, 0x6d1, 0x6b8, 0x69f, 0x686, 0x66d, 0x654, - 0x63b, 0x622, 0x609, 0x5ef, 0x5d6, 0x5bd, 0x5a4, 0x58b, - 0x572, 0x559, 0x540, 0x527, 0x50d, 0x4f4, 0x4db, 0x4c2, - 0x4a9, 0x490, 0x477, 0x45e, 0x445, 0x42b, 0x412, 0x3f9, - 0x3e0, 0x3c7, 0x3ae, 0x395, 0x37c, 0x362, 0x349, 0x330, - 0x317, 0x2fe, 0x2e5, 0x2cc, 0x2b3, 0x299, 0x280, 0x267, - 0x24e, 0x235, 0x21c, 0x203, 0x1ea, 0x1d0, 0x1b7, 0x19e, - 0x185, 0x16c, 0x153, 0x13a, 0x121, 0x107, 0xee, 0xd5, - 0xbc, 0xa3, 0x8a, 0x71, 0x57, 0x3e, 0x25, 0xc, - -}; - -static const q15_t ALIGN4 cos_factorsQ15_8192[8192] = { - 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, - 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, - 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, - 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, - 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, 0x7fff, - 0x7fff, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, - 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, 0x7ffe, - 0x7ffe, 0x7ffe, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, - 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffd, 0x7ffc, - 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, 0x7ffc, - 0x7ffc, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffb, - 0x7ffb, 0x7ffb, 0x7ffb, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa, - 0x7ffa, 0x7ffa, 0x7ffa, 0x7ffa, 0x7ff9, 0x7ff9, 0x7ff9, 0x7ff9, - 0x7ff9, 0x7ff9, 0x7ff9, 0x7ff9, 0x7ff8, 0x7ff8, 0x7ff8, 0x7ff8, - 0x7ff8, 0x7ff8, 0x7ff8, 0x7ff7, 0x7ff7, 0x7ff7, 0x7ff7, 0x7ff7, - 0x7ff7, 0x7ff7, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6, 0x7ff6, - 0x7ff6, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff5, 0x7ff4, - 0x7ff4, 0x7ff4, 0x7ff4, 0x7ff4, 0x7ff4, 0x7ff3, 0x7ff3, 0x7ff3, - 0x7ff3, 0x7ff3, 0x7ff3, 0x7ff2, 0x7ff2, 0x7ff2, 0x7ff2, 0x7ff2, - 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff1, 0x7ff0, 0x7ff0, - 0x7ff0, 0x7ff0, 0x7ff0, 0x7fef, 0x7fef, 0x7fef, 0x7fef, 0x7fef, - 0x7fee, 0x7fee, 0x7fee, 0x7fee, 0x7fee, 0x7fed, 0x7fed, 0x7fed, - 0x7fed, 0x7fed, 0x7fec, 0x7fec, 0x7fec, 0x7fec, 0x7feb, 0x7feb, - 0x7feb, 0x7feb, 0x7feb, 0x7fea, 0x7fea, 0x7fea, 0x7fea, 0x7fe9, - 0x7fe9, 0x7fe9, 0x7fe9, 0x7fe8, 0x7fe8, 0x7fe8, 0x7fe8, 0x7fe8, - 0x7fe7, 0x7fe7, 0x7fe7, 0x7fe7, 0x7fe6, 0x7fe6, 0x7fe6, 0x7fe6, - 0x7fe5, 0x7fe5, 0x7fe5, 0x7fe5, 0x7fe4, 0x7fe4, 0x7fe4, 0x7fe4, - 0x7fe3, 0x7fe3, 0x7fe3, 0x7fe2, 0x7fe2, 0x7fe2, 0x7fe2, 0x7fe1, - 0x7fe1, 0x7fe1, 0x7fe1, 0x7fe0, 0x7fe0, 0x7fe0, 0x7fdf, 0x7fdf, - 0x7fdf, 0x7fdf, 0x7fde, 0x7fde, 0x7fde, 0x7fde, 0x7fdd, 0x7fdd, - 0x7fdd, 0x7fdc, 0x7fdc, 0x7fdc, 0x7fdb, 0x7fdb, 0x7fdb, 0x7fdb, - 0x7fda, 0x7fda, 0x7fda, 0x7fd9, 0x7fd9, 0x7fd9, 0x7fd8, 0x7fd8, - 0x7fd8, 0x7fd8, 0x7fd7, 0x7fd7, 0x7fd7, 0x7fd6, 0x7fd6, 0x7fd6, - 0x7fd5, 0x7fd5, 0x7fd5, 0x7fd4, 0x7fd4, 0x7fd4, 0x7fd3, 0x7fd3, - 0x7fd3, 0x7fd2, 0x7fd2, 0x7fd2, 0x7fd1, 0x7fd1, 0x7fd1, 0x7fd0, - 0x7fd0, 0x7fd0, 0x7fcf, 0x7fcf, 0x7fcf, 0x7fce, 0x7fce, 0x7fce, - 0x7fcd, 0x7fcd, 0x7fcd, 0x7fcc, 0x7fcc, 0x7fcc, 0x7fcb, 0x7fcb, - 0x7fcb, 0x7fca, 0x7fca, 0x7fc9, 0x7fc9, 0x7fc9, 0x7fc8, 0x7fc8, - 0x7fc8, 0x7fc7, 0x7fc7, 0x7fc7, 0x7fc6, 0x7fc6, 0x7fc5, 0x7fc5, - 0x7fc5, 0x7fc4, 0x7fc4, 0x7fc4, 0x7fc3, 0x7fc3, 0x7fc2, 0x7fc2, - 0x7fc2, 0x7fc1, 0x7fc1, 0x7fc0, 0x7fc0, 0x7fc0, 0x7fbf, 0x7fbf, - 0x7fbf, 0x7fbe, 0x7fbe, 0x7fbd, 0x7fbd, 0x7fbd, 0x7fbc, 0x7fbc, - 0x7fbb, 0x7fbb, 0x7fbb, 0x7fba, 0x7fba, 0x7fb9, 0x7fb9, 0x7fb8, - 0x7fb8, 0x7fb8, 0x7fb7, 0x7fb7, 0x7fb6, 0x7fb6, 0x7fb6, 0x7fb5, - 0x7fb5, 0x7fb4, 0x7fb4, 0x7fb3, 0x7fb3, 0x7fb3, 0x7fb2, 0x7fb2, - 0x7fb1, 0x7fb1, 0x7fb0, 0x7fb0, 0x7faf, 0x7faf, 0x7faf, 0x7fae, - 0x7fae, 0x7fad, 0x7fad, 0x7fac, 0x7fac, 0x7fac, 0x7fab, 0x7fab, - 0x7faa, 0x7faa, 0x7fa9, 0x7fa9, 0x7fa8, 0x7fa8, 0x7fa7, 0x7fa7, - 0x7fa6, 0x7fa6, 0x7fa6, 0x7fa5, 0x7fa5, 0x7fa4, 0x7fa4, 0x7fa3, - 0x7fa3, 0x7fa2, 0x7fa2, 0x7fa1, 0x7fa1, 0x7fa0, 0x7fa0, 0x7f9f, - 0x7f9f, 0x7f9e, 0x7f9e, 0x7f9d, 0x7f9d, 0x7f9c, 0x7f9c, 0x7f9c, - 0x7f9b, 0x7f9b, 0x7f9a, 0x7f9a, 0x7f99, 0x7f99, 0x7f98, 0x7f98, - 0x7f97, 0x7f97, 0x7f96, 0x7f96, 0x7f95, 0x7f95, 0x7f94, 0x7f94, - 0x7f93, 0x7f92, 0x7f92, 0x7f91, 0x7f91, 0x7f90, 0x7f90, 0x7f8f, - 0x7f8f, 0x7f8e, 0x7f8e, 0x7f8d, 0x7f8d, 0x7f8c, 0x7f8c, 0x7f8b, - 0x7f8b, 0x7f8a, 0x7f8a, 0x7f89, 0x7f89, 0x7f88, 0x7f87, 0x7f87, - 0x7f86, 0x7f86, 0x7f85, 0x7f85, 0x7f84, 0x7f84, 0x7f83, 0x7f83, - 0x7f82, 0x7f81, 0x7f81, 0x7f80, 0x7f80, 0x7f7f, 0x7f7f, 0x7f7e, - 0x7f7e, 0x7f7d, 0x7f7c, 0x7f7c, 0x7f7b, 0x7f7b, 0x7f7a, 0x7f7a, - 0x7f79, 0x7f79, 0x7f78, 0x7f77, 0x7f77, 0x7f76, 0x7f76, 0x7f75, - 0x7f75, 0x7f74, 0x7f73, 0x7f73, 0x7f72, 0x7f72, 0x7f71, 0x7f70, - 0x7f70, 0x7f6f, 0x7f6f, 0x7f6e, 0x7f6d, 0x7f6d, 0x7f6c, 0x7f6c, - 0x7f6b, 0x7f6b, 0x7f6a, 0x7f69, 0x7f69, 0x7f68, 0x7f68, 0x7f67, - 0x7f66, 0x7f66, 0x7f65, 0x7f64, 0x7f64, 0x7f63, 0x7f63, 0x7f62, - 0x7f61, 0x7f61, 0x7f60, 0x7f60, 0x7f5f, 0x7f5e, 0x7f5e, 0x7f5d, - 0x7f5c, 0x7f5c, 0x7f5b, 0x7f5b, 0x7f5a, 0x7f59, 0x7f59, 0x7f58, - 0x7f57, 0x7f57, 0x7f56, 0x7f55, 0x7f55, 0x7f54, 0x7f54, 0x7f53, - 0x7f52, 0x7f52, 0x7f51, 0x7f50, 0x7f50, 0x7f4f, 0x7f4e, 0x7f4e, - 0x7f4d, 0x7f4c, 0x7f4c, 0x7f4b, 0x7f4a, 0x7f4a, 0x7f49, 0x7f48, - 0x7f48, 0x7f47, 0x7f46, 0x7f46, 0x7f45, 0x7f44, 0x7f44, 0x7f43, - 0x7f42, 0x7f42, 0x7f41, 0x7f40, 0x7f40, 0x7f3f, 0x7f3e, 0x7f3e, - 0x7f3d, 0x7f3c, 0x7f3c, 0x7f3b, 0x7f3a, 0x7f3a, 0x7f39, 0x7f38, - 0x7f37, 0x7f37, 0x7f36, 0x7f35, 0x7f35, 0x7f34, 0x7f33, 0x7f33, - 0x7f32, 0x7f31, 0x7f31, 0x7f30, 0x7f2f, 0x7f2e, 0x7f2e, 0x7f2d, - 0x7f2c, 0x7f2c, 0x7f2b, 0x7f2a, 0x7f29, 0x7f29, 0x7f28, 0x7f27, - 0x7f27, 0x7f26, 0x7f25, 0x7f24, 0x7f24, 0x7f23, 0x7f22, 0x7f21, - 0x7f21, 0x7f20, 0x7f1f, 0x7f1f, 0x7f1e, 0x7f1d, 0x7f1c, 0x7f1c, - 0x7f1b, 0x7f1a, 0x7f19, 0x7f19, 0x7f18, 0x7f17, 0x7f16, 0x7f16, - 0x7f15, 0x7f14, 0x7f13, 0x7f13, 0x7f12, 0x7f11, 0x7f10, 0x7f10, - 0x7f0f, 0x7f0e, 0x7f0d, 0x7f0d, 0x7f0c, 0x7f0b, 0x7f0a, 0x7f09, - 0x7f09, 0x7f08, 0x7f07, 0x7f06, 0x7f06, 0x7f05, 0x7f04, 0x7f03, - 0x7f02, 0x7f02, 0x7f01, 0x7f00, 0x7eff, 0x7eff, 0x7efe, 0x7efd, - 0x7efc, 0x7efb, 0x7efb, 0x7efa, 0x7ef9, 0x7ef8, 0x7ef7, 0x7ef7, - 0x7ef6, 0x7ef5, 0x7ef4, 0x7ef3, 0x7ef3, 0x7ef2, 0x7ef1, 0x7ef0, - 0x7eef, 0x7eef, 0x7eee, 0x7eed, 0x7eec, 0x7eeb, 0x7eeb, 0x7eea, - 0x7ee9, 0x7ee8, 0x7ee7, 0x7ee6, 0x7ee6, 0x7ee5, 0x7ee4, 0x7ee3, - 0x7ee2, 0x7ee2, 0x7ee1, 0x7ee0, 0x7edf, 0x7ede, 0x7edd, 0x7edd, - 0x7edc, 0x7edb, 0x7eda, 0x7ed9, 0x7ed8, 0x7ed8, 0x7ed7, 0x7ed6, - 0x7ed5, 0x7ed4, 0x7ed3, 0x7ed2, 0x7ed2, 0x7ed1, 0x7ed0, 0x7ecf, - 0x7ece, 0x7ecd, 0x7ecc, 0x7ecc, 0x7ecb, 0x7eca, 0x7ec9, 0x7ec8, - 0x7ec7, 0x7ec6, 0x7ec6, 0x7ec5, 0x7ec4, 0x7ec3, 0x7ec2, 0x7ec1, - 0x7ec0, 0x7ebf, 0x7ebf, 0x7ebe, 0x7ebd, 0x7ebc, 0x7ebb, 0x7eba, - 0x7eb9, 0x7eb8, 0x7eb8, 0x7eb7, 0x7eb6, 0x7eb5, 0x7eb4, 0x7eb3, - 0x7eb2, 0x7eb1, 0x7eb0, 0x7eaf, 0x7eaf, 0x7eae, 0x7ead, 0x7eac, - 0x7eab, 0x7eaa, 0x7ea9, 0x7ea8, 0x7ea7, 0x7ea6, 0x7ea6, 0x7ea5, - 0x7ea4, 0x7ea3, 0x7ea2, 0x7ea1, 0x7ea0, 0x7e9f, 0x7e9e, 0x7e9d, - 0x7e9c, 0x7e9b, 0x7e9b, 0x7e9a, 0x7e99, 0x7e98, 0x7e97, 0x7e96, - 0x7e95, 0x7e94, 0x7e93, 0x7e92, 0x7e91, 0x7e90, 0x7e8f, 0x7e8e, - 0x7e8d, 0x7e8d, 0x7e8c, 0x7e8b, 0x7e8a, 0x7e89, 0x7e88, 0x7e87, - 0x7e86, 0x7e85, 0x7e84, 0x7e83, 0x7e82, 0x7e81, 0x7e80, 0x7e7f, - 0x7e7e, 0x7e7d, 0x7e7c, 0x7e7b, 0x7e7a, 0x7e79, 0x7e78, 0x7e77, - 0x7e77, 0x7e76, 0x7e75, 0x7e74, 0x7e73, 0x7e72, 0x7e71, 0x7e70, - 0x7e6f, 0x7e6e, 0x7e6d, 0x7e6c, 0x7e6b, 0x7e6a, 0x7e69, 0x7e68, - 0x7e67, 0x7e66, 0x7e65, 0x7e64, 0x7e63, 0x7e62, 0x7e61, 0x7e60, - 0x7e5f, 0x7e5e, 0x7e5d, 0x7e5c, 0x7e5b, 0x7e5a, 0x7e59, 0x7e58, - 0x7e57, 0x7e56, 0x7e55, 0x7e54, 0x7e53, 0x7e52, 0x7e51, 0x7e50, - 0x7e4f, 0x7e4e, 0x7e4d, 0x7e4c, 0x7e4b, 0x7e4a, 0x7e49, 0x7e48, - 0x7e47, 0x7e46, 0x7e45, 0x7e43, 0x7e42, 0x7e41, 0x7e40, 0x7e3f, - 0x7e3e, 0x7e3d, 0x7e3c, 0x7e3b, 0x7e3a, 0x7e39, 0x7e38, 0x7e37, - 0x7e36, 0x7e35, 0x7e34, 0x7e33, 0x7e32, 0x7e31, 0x7e30, 0x7e2f, - 0x7e2e, 0x7e2d, 0x7e2b, 0x7e2a, 0x7e29, 0x7e28, 0x7e27, 0x7e26, - 0x7e25, 0x7e24, 0x7e23, 0x7e22, 0x7e21, 0x7e20, 0x7e1f, 0x7e1e, - 0x7e1d, 0x7e1b, 0x7e1a, 0x7e19, 0x7e18, 0x7e17, 0x7e16, 0x7e15, - 0x7e14, 0x7e13, 0x7e12, 0x7e11, 0x7e10, 0x7e0e, 0x7e0d, 0x7e0c, - 0x7e0b, 0x7e0a, 0x7e09, 0x7e08, 0x7e07, 0x7e06, 0x7e05, 0x7e04, - 0x7e02, 0x7e01, 0x7e00, 0x7dff, 0x7dfe, 0x7dfd, 0x7dfc, 0x7dfb, - 0x7dfa, 0x7df8, 0x7df7, 0x7df6, 0x7df5, 0x7df4, 0x7df3, 0x7df2, - 0x7df1, 0x7def, 0x7dee, 0x7ded, 0x7dec, 0x7deb, 0x7dea, 0x7de9, - 0x7de8, 0x7de6, 0x7de5, 0x7de4, 0x7de3, 0x7de2, 0x7de1, 0x7de0, - 0x7dde, 0x7ddd, 0x7ddc, 0x7ddb, 0x7dda, 0x7dd9, 0x7dd8, 0x7dd6, - 0x7dd5, 0x7dd4, 0x7dd3, 0x7dd2, 0x7dd1, 0x7dd0, 0x7dce, 0x7dcd, - 0x7dcc, 0x7dcb, 0x7dca, 0x7dc9, 0x7dc7, 0x7dc6, 0x7dc5, 0x7dc4, - 0x7dc3, 0x7dc2, 0x7dc0, 0x7dbf, 0x7dbe, 0x7dbd, 0x7dbc, 0x7dbb, - 0x7db9, 0x7db8, 0x7db7, 0x7db6, 0x7db5, 0x7db3, 0x7db2, 0x7db1, - 0x7db0, 0x7daf, 0x7dae, 0x7dac, 0x7dab, 0x7daa, 0x7da9, 0x7da8, - 0x7da6, 0x7da5, 0x7da4, 0x7da3, 0x7da2, 0x7da0, 0x7d9f, 0x7d9e, - 0x7d9d, 0x7d9c, 0x7d9a, 0x7d99, 0x7d98, 0x7d97, 0x7d95, 0x7d94, - 0x7d93, 0x7d92, 0x7d91, 0x7d8f, 0x7d8e, 0x7d8d, 0x7d8c, 0x7d8a, - 0x7d89, 0x7d88, 0x7d87, 0x7d86, 0x7d84, 0x7d83, 0x7d82, 0x7d81, - 0x7d7f, 0x7d7e, 0x7d7d, 0x7d7c, 0x7d7a, 0x7d79, 0x7d78, 0x7d77, - 0x7d75, 0x7d74, 0x7d73, 0x7d72, 0x7d70, 0x7d6f, 0x7d6e, 0x7d6d, - 0x7d6b, 0x7d6a, 0x7d69, 0x7d68, 0x7d66, 0x7d65, 0x7d64, 0x7d63, - 0x7d61, 0x7d60, 0x7d5f, 0x7d5e, 0x7d5c, 0x7d5b, 0x7d5a, 0x7d59, - 0x7d57, 0x7d56, 0x7d55, 0x7d53, 0x7d52, 0x7d51, 0x7d50, 0x7d4e, - 0x7d4d, 0x7d4c, 0x7d4a, 0x7d49, 0x7d48, 0x7d47, 0x7d45, 0x7d44, - 0x7d43, 0x7d41, 0x7d40, 0x7d3f, 0x7d3e, 0x7d3c, 0x7d3b, 0x7d3a, - 0x7d38, 0x7d37, 0x7d36, 0x7d34, 0x7d33, 0x7d32, 0x7d31, 0x7d2f, - 0x7d2e, 0x7d2d, 0x7d2b, 0x7d2a, 0x7d29, 0x7d27, 0x7d26, 0x7d25, - 0x7d23, 0x7d22, 0x7d21, 0x7d1f, 0x7d1e, 0x7d1d, 0x7d1b, 0x7d1a, - 0x7d19, 0x7d17, 0x7d16, 0x7d15, 0x7d13, 0x7d12, 0x7d11, 0x7d0f, - 0x7d0e, 0x7d0d, 0x7d0b, 0x7d0a, 0x7d09, 0x7d07, 0x7d06, 0x7d05, - 0x7d03, 0x7d02, 0x7d01, 0x7cff, 0x7cfe, 0x7cfd, 0x7cfb, 0x7cfa, - 0x7cf9, 0x7cf7, 0x7cf6, 0x7cf4, 0x7cf3, 0x7cf2, 0x7cf0, 0x7cef, - 0x7cee, 0x7cec, 0x7ceb, 0x7ce9, 0x7ce8, 0x7ce7, 0x7ce5, 0x7ce4, - 0x7ce3, 0x7ce1, 0x7ce0, 0x7cde, 0x7cdd, 0x7cdc, 0x7cda, 0x7cd9, - 0x7cd8, 0x7cd6, 0x7cd5, 0x7cd3, 0x7cd2, 0x7cd1, 0x7ccf, 0x7cce, - 0x7ccc, 0x7ccb, 0x7cca, 0x7cc8, 0x7cc7, 0x7cc5, 0x7cc4, 0x7cc3, - 0x7cc1, 0x7cc0, 0x7cbe, 0x7cbd, 0x7cbc, 0x7cba, 0x7cb9, 0x7cb7, - 0x7cb6, 0x7cb5, 0x7cb3, 0x7cb2, 0x7cb0, 0x7caf, 0x7cad, 0x7cac, - 0x7cab, 0x7ca9, 0x7ca8, 0x7ca6, 0x7ca5, 0x7ca3, 0x7ca2, 0x7ca1, - 0x7c9f, 0x7c9e, 0x7c9c, 0x7c9b, 0x7c99, 0x7c98, 0x7c97, 0x7c95, - 0x7c94, 0x7c92, 0x7c91, 0x7c8f, 0x7c8e, 0x7c8c, 0x7c8b, 0x7c8a, - 0x7c88, 0x7c87, 0x7c85, 0x7c84, 0x7c82, 0x7c81, 0x7c7f, 0x7c7e, - 0x7c7c, 0x7c7b, 0x7c79, 0x7c78, 0x7c77, 0x7c75, 0x7c74, 0x7c72, - 0x7c71, 0x7c6f, 0x7c6e, 0x7c6c, 0x7c6b, 0x7c69, 0x7c68, 0x7c66, - 0x7c65, 0x7c63, 0x7c62, 0x7c60, 0x7c5f, 0x7c5d, 0x7c5c, 0x7c5a, - 0x7c59, 0x7c58, 0x7c56, 0x7c55, 0x7c53, 0x7c52, 0x7c50, 0x7c4f, - 0x7c4d, 0x7c4c, 0x7c4a, 0x7c49, 0x7c47, 0x7c46, 0x7c44, 0x7c43, - 0x7c41, 0x7c3f, 0x7c3e, 0x7c3c, 0x7c3b, 0x7c39, 0x7c38, 0x7c36, - 0x7c35, 0x7c33, 0x7c32, 0x7c30, 0x7c2f, 0x7c2d, 0x7c2c, 0x7c2a, - 0x7c29, 0x7c27, 0x7c26, 0x7c24, 0x7c23, 0x7c21, 0x7c20, 0x7c1e, - 0x7c1c, 0x7c1b, 0x7c19, 0x7c18, 0x7c16, 0x7c15, 0x7c13, 0x7c12, - 0x7c10, 0x7c0f, 0x7c0d, 0x7c0b, 0x7c0a, 0x7c08, 0x7c07, 0x7c05, - 0x7c04, 0x7c02, 0x7c01, 0x7bff, 0x7bfd, 0x7bfc, 0x7bfa, 0x7bf9, - 0x7bf7, 0x7bf6, 0x7bf4, 0x7bf3, 0x7bf1, 0x7bef, 0x7bee, 0x7bec, - 0x7beb, 0x7be9, 0x7be8, 0x7be6, 0x7be4, 0x7be3, 0x7be1, 0x7be0, - 0x7bde, 0x7bdc, 0x7bdb, 0x7bd9, 0x7bd8, 0x7bd6, 0x7bd5, 0x7bd3, - 0x7bd1, 0x7bd0, 0x7bce, 0x7bcd, 0x7bcb, 0x7bc9, 0x7bc8, 0x7bc6, - 0x7bc5, 0x7bc3, 0x7bc1, 0x7bc0, 0x7bbe, 0x7bbd, 0x7bbb, 0x7bb9, - 0x7bb8, 0x7bb6, 0x7bb5, 0x7bb3, 0x7bb1, 0x7bb0, 0x7bae, 0x7bac, - 0x7bab, 0x7ba9, 0x7ba8, 0x7ba6, 0x7ba4, 0x7ba3, 0x7ba1, 0x7b9f, - 0x7b9e, 0x7b9c, 0x7b9b, 0x7b99, 0x7b97, 0x7b96, 0x7b94, 0x7b92, - 0x7b91, 0x7b8f, 0x7b8d, 0x7b8c, 0x7b8a, 0x7b89, 0x7b87, 0x7b85, - 0x7b84, 0x7b82, 0x7b80, 0x7b7f, 0x7b7d, 0x7b7b, 0x7b7a, 0x7b78, - 0x7b76, 0x7b75, 0x7b73, 0x7b71, 0x7b70, 0x7b6e, 0x7b6c, 0x7b6b, - 0x7b69, 0x7b67, 0x7b66, 0x7b64, 0x7b62, 0x7b61, 0x7b5f, 0x7b5d, - 0x7b5c, 0x7b5a, 0x7b58, 0x7b57, 0x7b55, 0x7b53, 0x7b52, 0x7b50, - 0x7b4e, 0x7b4d, 0x7b4b, 0x7b49, 0x7b47, 0x7b46, 0x7b44, 0x7b42, - 0x7b41, 0x7b3f, 0x7b3d, 0x7b3c, 0x7b3a, 0x7b38, 0x7b37, 0x7b35, - 0x7b33, 0x7b31, 0x7b30, 0x7b2e, 0x7b2c, 0x7b2b, 0x7b29, 0x7b27, - 0x7b25, 0x7b24, 0x7b22, 0x7b20, 0x7b1f, 0x7b1d, 0x7b1b, 0x7b19, - 0x7b18, 0x7b16, 0x7b14, 0x7b13, 0x7b11, 0x7b0f, 0x7b0d, 0x7b0c, - 0x7b0a, 0x7b08, 0x7b06, 0x7b05, 0x7b03, 0x7b01, 0x7aff, 0x7afe, - 0x7afc, 0x7afa, 0x7af8, 0x7af7, 0x7af5, 0x7af3, 0x7af2, 0x7af0, - 0x7aee, 0x7aec, 0x7aeb, 0x7ae9, 0x7ae7, 0x7ae5, 0x7ae3, 0x7ae2, - 0x7ae0, 0x7ade, 0x7adc, 0x7adb, 0x7ad9, 0x7ad7, 0x7ad5, 0x7ad4, - 0x7ad2, 0x7ad0, 0x7ace, 0x7acd, 0x7acb, 0x7ac9, 0x7ac7, 0x7ac5, - 0x7ac4, 0x7ac2, 0x7ac0, 0x7abe, 0x7abd, 0x7abb, 0x7ab9, 0x7ab7, - 0x7ab5, 0x7ab4, 0x7ab2, 0x7ab0, 0x7aae, 0x7aac, 0x7aab, 0x7aa9, - 0x7aa7, 0x7aa5, 0x7aa3, 0x7aa2, 0x7aa0, 0x7a9e, 0x7a9c, 0x7a9a, - 0x7a99, 0x7a97, 0x7a95, 0x7a93, 0x7a91, 0x7a90, 0x7a8e, 0x7a8c, - 0x7a8a, 0x7a88, 0x7a87, 0x7a85, 0x7a83, 0x7a81, 0x7a7f, 0x7a7d, - 0x7a7c, 0x7a7a, 0x7a78, 0x7a76, 0x7a74, 0x7a72, 0x7a71, 0x7a6f, - 0x7a6d, 0x7a6b, 0x7a69, 0x7a67, 0x7a66, 0x7a64, 0x7a62, 0x7a60, - 0x7a5e, 0x7a5c, 0x7a5b, 0x7a59, 0x7a57, 0x7a55, 0x7a53, 0x7a51, - 0x7a4f, 0x7a4e, 0x7a4c, 0x7a4a, 0x7a48, 0x7a46, 0x7a44, 0x7a42, - 0x7a41, 0x7a3f, 0x7a3d, 0x7a3b, 0x7a39, 0x7a37, 0x7a35, 0x7a34, - 0x7a32, 0x7a30, 0x7a2e, 0x7a2c, 0x7a2a, 0x7a28, 0x7a26, 0x7a25, - 0x7a23, 0x7a21, 0x7a1f, 0x7a1d, 0x7a1b, 0x7a19, 0x7a17, 0x7a16, - 0x7a14, 0x7a12, 0x7a10, 0x7a0e, 0x7a0c, 0x7a0a, 0x7a08, 0x7a06, - 0x7a04, 0x7a03, 0x7a01, 0x79ff, 0x79fd, 0x79fb, 0x79f9, 0x79f7, - 0x79f5, 0x79f3, 0x79f1, 0x79f0, 0x79ee, 0x79ec, 0x79ea, 0x79e8, - 0x79e6, 0x79e4, 0x79e2, 0x79e0, 0x79de, 0x79dc, 0x79da, 0x79d9, - 0x79d7, 0x79d5, 0x79d3, 0x79d1, 0x79cf, 0x79cd, 0x79cb, 0x79c9, - 0x79c7, 0x79c5, 0x79c3, 0x79c1, 0x79bf, 0x79bd, 0x79bc, 0x79ba, - 0x79b8, 0x79b6, 0x79b4, 0x79b2, 0x79b0, 0x79ae, 0x79ac, 0x79aa, - 0x79a8, 0x79a6, 0x79a4, 0x79a2, 0x79a0, 0x799e, 0x799c, 0x799a, - 0x7998, 0x7996, 0x7994, 0x7992, 0x7991, 0x798f, 0x798d, 0x798b, - 0x7989, 0x7987, 0x7985, 0x7983, 0x7981, 0x797f, 0x797d, 0x797b, - 0x7979, 0x7977, 0x7975, 0x7973, 0x7971, 0x796f, 0x796d, 0x796b, - 0x7969, 0x7967, 0x7965, 0x7963, 0x7961, 0x795f, 0x795d, 0x795b, - 0x7959, 0x7957, 0x7955, 0x7953, 0x7951, 0x794f, 0x794d, 0x794b, - 0x7949, 0x7947, 0x7945, 0x7943, 0x7941, 0x793f, 0x793d, 0x793b, - 0x7939, 0x7937, 0x7935, 0x7933, 0x7931, 0x792f, 0x792d, 0x792b, - 0x7929, 0x7927, 0x7925, 0x7923, 0x7921, 0x791f, 0x791d, 0x791a, - 0x7918, 0x7916, 0x7914, 0x7912, 0x7910, 0x790e, 0x790c, 0x790a, - 0x7908, 0x7906, 0x7904, 0x7902, 0x7900, 0x78fe, 0x78fc, 0x78fa, - 0x78f8, 0x78f6, 0x78f4, 0x78f2, 0x78f0, 0x78ed, 0x78eb, 0x78e9, - 0x78e7, 0x78e5, 0x78e3, 0x78e1, 0x78df, 0x78dd, 0x78db, 0x78d9, - 0x78d7, 0x78d5, 0x78d3, 0x78d1, 0x78ce, 0x78cc, 0x78ca, 0x78c8, - 0x78c6, 0x78c4, 0x78c2, 0x78c0, 0x78be, 0x78bc, 0x78ba, 0x78b8, - 0x78b5, 0x78b3, 0x78b1, 0x78af, 0x78ad, 0x78ab, 0x78a9, 0x78a7, - 0x78a5, 0x78a3, 0x78a0, 0x789e, 0x789c, 0x789a, 0x7898, 0x7896, - 0x7894, 0x7892, 0x7890, 0x788e, 0x788b, 0x7889, 0x7887, 0x7885, - 0x7883, 0x7881, 0x787f, 0x787d, 0x787a, 0x7878, 0x7876, 0x7874, - 0x7872, 0x7870, 0x786e, 0x786c, 0x7869, 0x7867, 0x7865, 0x7863, - 0x7861, 0x785f, 0x785d, 0x785b, 0x7858, 0x7856, 0x7854, 0x7852, - 0x7850, 0x784e, 0x784c, 0x7849, 0x7847, 0x7845, 0x7843, 0x7841, - 0x783f, 0x783c, 0x783a, 0x7838, 0x7836, 0x7834, 0x7832, 0x7830, - 0x782d, 0x782b, 0x7829, 0x7827, 0x7825, 0x7823, 0x7820, 0x781e, - 0x781c, 0x781a, 0x7818, 0x7816, 0x7813, 0x7811, 0x780f, 0x780d, - 0x780b, 0x7808, 0x7806, 0x7804, 0x7802, 0x7800, 0x77fe, 0x77fb, - 0x77f9, 0x77f7, 0x77f5, 0x77f3, 0x77f0, 0x77ee, 0x77ec, 0x77ea, - 0x77e8, 0x77e5, 0x77e3, 0x77e1, 0x77df, 0x77dd, 0x77da, 0x77d8, - 0x77d6, 0x77d4, 0x77d2, 0x77cf, 0x77cd, 0x77cb, 0x77c9, 0x77c6, - 0x77c4, 0x77c2, 0x77c0, 0x77be, 0x77bb, 0x77b9, 0x77b7, 0x77b5, - 0x77b2, 0x77b0, 0x77ae, 0x77ac, 0x77aa, 0x77a7, 0x77a5, 0x77a3, - 0x77a1, 0x779e, 0x779c, 0x779a, 0x7798, 0x7795, 0x7793, 0x7791, - 0x778f, 0x778c, 0x778a, 0x7788, 0x7786, 0x7783, 0x7781, 0x777f, - 0x777d, 0x777a, 0x7778, 0x7776, 0x7774, 0x7771, 0x776f, 0x776d, - 0x776b, 0x7768, 0x7766, 0x7764, 0x7762, 0x775f, 0x775d, 0x775b, - 0x7759, 0x7756, 0x7754, 0x7752, 0x774f, 0x774d, 0x774b, 0x7749, - 0x7746, 0x7744, 0x7742, 0x773f, 0x773d, 0x773b, 0x7739, 0x7736, - 0x7734, 0x7732, 0x772f, 0x772d, 0x772b, 0x7729, 0x7726, 0x7724, - 0x7722, 0x771f, 0x771d, 0x771b, 0x7719, 0x7716, 0x7714, 0x7712, - 0x770f, 0x770d, 0x770b, 0x7708, 0x7706, 0x7704, 0x7701, 0x76ff, - 0x76fd, 0x76fa, 0x76f8, 0x76f6, 0x76f4, 0x76f1, 0x76ef, 0x76ed, - 0x76ea, 0x76e8, 0x76e6, 0x76e3, 0x76e1, 0x76df, 0x76dc, 0x76da, - 0x76d8, 0x76d5, 0x76d3, 0x76d1, 0x76ce, 0x76cc, 0x76ca, 0x76c7, - 0x76c5, 0x76c3, 0x76c0, 0x76be, 0x76bc, 0x76b9, 0x76b7, 0x76b4, - 0x76b2, 0x76b0, 0x76ad, 0x76ab, 0x76a9, 0x76a6, 0x76a4, 0x76a2, - 0x769f, 0x769d, 0x769b, 0x7698, 0x7696, 0x7693, 0x7691, 0x768f, - 0x768c, 0x768a, 0x7688, 0x7685, 0x7683, 0x7681, 0x767e, 0x767c, - 0x7679, 0x7677, 0x7675, 0x7672, 0x7670, 0x766d, 0x766b, 0x7669, - 0x7666, 0x7664, 0x7662, 0x765f, 0x765d, 0x765a, 0x7658, 0x7656, - 0x7653, 0x7651, 0x764e, 0x764c, 0x764a, 0x7647, 0x7645, 0x7642, - 0x7640, 0x763e, 0x763b, 0x7639, 0x7636, 0x7634, 0x7632, 0x762f, - 0x762d, 0x762a, 0x7628, 0x7625, 0x7623, 0x7621, 0x761e, 0x761c, - 0x7619, 0x7617, 0x7615, 0x7612, 0x7610, 0x760d, 0x760b, 0x7608, - 0x7606, 0x7604, 0x7601, 0x75ff, 0x75fc, 0x75fa, 0x75f7, 0x75f5, - 0x75f2, 0x75f0, 0x75ee, 0x75eb, 0x75e9, 0x75e6, 0x75e4, 0x75e1, - 0x75df, 0x75dc, 0x75da, 0x75d8, 0x75d5, 0x75d3, 0x75d0, 0x75ce, - 0x75cb, 0x75c9, 0x75c6, 0x75c4, 0x75c1, 0x75bf, 0x75bc, 0x75ba, - 0x75b8, 0x75b5, 0x75b3, 0x75b0, 0x75ae, 0x75ab, 0x75a9, 0x75a6, - 0x75a4, 0x75a1, 0x759f, 0x759c, 0x759a, 0x7597, 0x7595, 0x7592, - 0x7590, 0x758d, 0x758b, 0x7588, 0x7586, 0x7584, 0x7581, 0x757f, - 0x757c, 0x757a, 0x7577, 0x7575, 0x7572, 0x7570, 0x756d, 0x756b, - 0x7568, 0x7566, 0x7563, 0x7561, 0x755e, 0x755c, 0x7559, 0x7556, - 0x7554, 0x7551, 0x754f, 0x754c, 0x754a, 0x7547, 0x7545, 0x7542, - 0x7540, 0x753d, 0x753b, 0x7538, 0x7536, 0x7533, 0x7531, 0x752e, - 0x752c, 0x7529, 0x7527, 0x7524, 0x7522, 0x751f, 0x751c, 0x751a, - 0x7517, 0x7515, 0x7512, 0x7510, 0x750d, 0x750b, 0x7508, 0x7506, - 0x7503, 0x7501, 0x74fe, 0x74fb, 0x74f9, 0x74f6, 0x74f4, 0x74f1, - 0x74ef, 0x74ec, 0x74ea, 0x74e7, 0x74e4, 0x74e2, 0x74df, 0x74dd, - 0x74da, 0x74d8, 0x74d5, 0x74d2, 0x74d0, 0x74cd, 0x74cb, 0x74c8, - 0x74c6, 0x74c3, 0x74c0, 0x74be, 0x74bb, 0x74b9, 0x74b6, 0x74b4, - 0x74b1, 0x74ae, 0x74ac, 0x74a9, 0x74a7, 0x74a4, 0x74a1, 0x749f, - 0x749c, 0x749a, 0x7497, 0x7495, 0x7492, 0x748f, 0x748d, 0x748a, - 0x7488, 0x7485, 0x7482, 0x7480, 0x747d, 0x747b, 0x7478, 0x7475, - 0x7473, 0x7470, 0x746d, 0x746b, 0x7468, 0x7466, 0x7463, 0x7460, - 0x745e, 0x745b, 0x7459, 0x7456, 0x7453, 0x7451, 0x744e, 0x744b, - 0x7449, 0x7446, 0x7444, 0x7441, 0x743e, 0x743c, 0x7439, 0x7436, - 0x7434, 0x7431, 0x742f, 0x742c, 0x7429, 0x7427, 0x7424, 0x7421, - 0x741f, 0x741c, 0x7419, 0x7417, 0x7414, 0x7411, 0x740f, 0x740c, - 0x740a, 0x7407, 0x7404, 0x7402, 0x73ff, 0x73fc, 0x73fa, 0x73f7, - 0x73f4, 0x73f2, 0x73ef, 0x73ec, 0x73ea, 0x73e7, 0x73e4, 0x73e2, - 0x73df, 0x73dc, 0x73da, 0x73d7, 0x73d4, 0x73d2, 0x73cf, 0x73cc, - 0x73ca, 0x73c7, 0x73c4, 0x73c1, 0x73bf, 0x73bc, 0x73b9, 0x73b7, - 0x73b4, 0x73b1, 0x73af, 0x73ac, 0x73a9, 0x73a7, 0x73a4, 0x73a1, - 0x739f, 0x739c, 0x7399, 0x7396, 0x7394, 0x7391, 0x738e, 0x738c, - 0x7389, 0x7386, 0x7384, 0x7381, 0x737e, 0x737b, 0x7379, 0x7376, - 0x7373, 0x7371, 0x736e, 0x736b, 0x7368, 0x7366, 0x7363, 0x7360, - 0x735e, 0x735b, 0x7358, 0x7355, 0x7353, 0x7350, 0x734d, 0x734a, - 0x7348, 0x7345, 0x7342, 0x7340, 0x733d, 0x733a, 0x7337, 0x7335, - 0x7332, 0x732f, 0x732c, 0x732a, 0x7327, 0x7324, 0x7321, 0x731f, - 0x731c, 0x7319, 0x7316, 0x7314, 0x7311, 0x730e, 0x730b, 0x7309, - 0x7306, 0x7303, 0x7300, 0x72fe, 0x72fb, 0x72f8, 0x72f5, 0x72f3, - 0x72f0, 0x72ed, 0x72ea, 0x72e8, 0x72e5, 0x72e2, 0x72df, 0x72dc, - 0x72da, 0x72d7, 0x72d4, 0x72d1, 0x72cf, 0x72cc, 0x72c9, 0x72c6, - 0x72c3, 0x72c1, 0x72be, 0x72bb, 0x72b8, 0x72b5, 0x72b3, 0x72b0, - 0x72ad, 0x72aa, 0x72a8, 0x72a5, 0x72a2, 0x729f, 0x729c, 0x729a, - 0x7297, 0x7294, 0x7291, 0x728e, 0x728c, 0x7289, 0x7286, 0x7283, - 0x7280, 0x727e, 0x727b, 0x7278, 0x7275, 0x7272, 0x726f, 0x726d, - 0x726a, 0x7267, 0x7264, 0x7261, 0x725f, 0x725c, 0x7259, 0x7256, - 0x7253, 0x7250, 0x724e, 0x724b, 0x7248, 0x7245, 0x7242, 0x723f, - 0x723d, 0x723a, 0x7237, 0x7234, 0x7231, 0x722e, 0x722c, 0x7229, - 0x7226, 0x7223, 0x7220, 0x721d, 0x721b, 0x7218, 0x7215, 0x7212, - 0x720f, 0x720c, 0x7209, 0x7207, 0x7204, 0x7201, 0x71fe, 0x71fb, - 0x71f8, 0x71f5, 0x71f3, 0x71f0, 0x71ed, 0x71ea, 0x71e7, 0x71e4, - 0x71e1, 0x71df, 0x71dc, 0x71d9, 0x71d6, 0x71d3, 0x71d0, 0x71cd, - 0x71ca, 0x71c8, 0x71c5, 0x71c2, 0x71bf, 0x71bc, 0x71b9, 0x71b6, - 0x71b3, 0x71b0, 0x71ae, 0x71ab, 0x71a8, 0x71a5, 0x71a2, 0x719f, - 0x719c, 0x7199, 0x7196, 0x7194, 0x7191, 0x718e, 0x718b, 0x7188, - 0x7185, 0x7182, 0x717f, 0x717c, 0x7179, 0x7177, 0x7174, 0x7171, - 0x716e, 0x716b, 0x7168, 0x7165, 0x7162, 0x715f, 0x715c, 0x7159, - 0x7156, 0x7154, 0x7151, 0x714e, 0x714b, 0x7148, 0x7145, 0x7142, - 0x713f, 0x713c, 0x7139, 0x7136, 0x7133, 0x7130, 0x712d, 0x712b, - 0x7128, 0x7125, 0x7122, 0x711f, 0x711c, 0x7119, 0x7116, 0x7113, - 0x7110, 0x710d, 0x710a, 0x7107, 0x7104, 0x7101, 0x70fe, 0x70fb, - 0x70f8, 0x70f6, 0x70f3, 0x70f0, 0x70ed, 0x70ea, 0x70e7, 0x70e4, - 0x70e1, 0x70de, 0x70db, 0x70d8, 0x70d5, 0x70d2, 0x70cf, 0x70cc, - 0x70c9, 0x70c6, 0x70c3, 0x70c0, 0x70bd, 0x70ba, 0x70b7, 0x70b4, - 0x70b1, 0x70ae, 0x70ab, 0x70a8, 0x70a5, 0x70a2, 0x709f, 0x709c, - 0x7099, 0x7096, 0x7093, 0x7090, 0x708d, 0x708a, 0x7087, 0x7084, - 0x7081, 0x707e, 0x707b, 0x7078, 0x7075, 0x7072, 0x706f, 0x706c, - 0x7069, 0x7066, 0x7063, 0x7060, 0x705d, 0x705a, 0x7057, 0x7054, - 0x7051, 0x704e, 0x704b, 0x7048, 0x7045, 0x7042, 0x703f, 0x703c, - 0x7039, 0x7036, 0x7033, 0x7030, 0x702d, 0x702a, 0x7027, 0x7024, - 0x7021, 0x701e, 0x701b, 0x7018, 0x7015, 0x7012, 0x700f, 0x700c, - 0x7009, 0x7006, 0x7003, 0x7000, 0x6ffd, 0x6ffa, 0x6ff7, 0x6ff3, - 0x6ff0, 0x6fed, 0x6fea, 0x6fe7, 0x6fe4, 0x6fe1, 0x6fde, 0x6fdb, - 0x6fd8, 0x6fd5, 0x6fd2, 0x6fcf, 0x6fcc, 0x6fc9, 0x6fc6, 0x6fc3, - 0x6fc0, 0x6fbc, 0x6fb9, 0x6fb6, 0x6fb3, 0x6fb0, 0x6fad, 0x6faa, - 0x6fa7, 0x6fa4, 0x6fa1, 0x6f9e, 0x6f9b, 0x6f98, 0x6f95, 0x6f91, - 0x6f8e, 0x6f8b, 0x6f88, 0x6f85, 0x6f82, 0x6f7f, 0x6f7c, 0x6f79, - 0x6f76, 0x6f73, 0x6f70, 0x6f6c, 0x6f69, 0x6f66, 0x6f63, 0x6f60, - 0x6f5d, 0x6f5a, 0x6f57, 0x6f54, 0x6f51, 0x6f4d, 0x6f4a, 0x6f47, - 0x6f44, 0x6f41, 0x6f3e, 0x6f3b, 0x6f38, 0x6f35, 0x6f31, 0x6f2e, - 0x6f2b, 0x6f28, 0x6f25, 0x6f22, 0x6f1f, 0x6f1c, 0x6f19, 0x6f15, - 0x6f12, 0x6f0f, 0x6f0c, 0x6f09, 0x6f06, 0x6f03, 0x6f00, 0x6efc, - 0x6ef9, 0x6ef6, 0x6ef3, 0x6ef0, 0x6eed, 0x6eea, 0x6ee7, 0x6ee3, - 0x6ee0, 0x6edd, 0x6eda, 0x6ed7, 0x6ed4, 0x6ed1, 0x6ecd, 0x6eca, - 0x6ec7, 0x6ec4, 0x6ec1, 0x6ebe, 0x6eba, 0x6eb7, 0x6eb4, 0x6eb1, - 0x6eae, 0x6eab, 0x6ea8, 0x6ea4, 0x6ea1, 0x6e9e, 0x6e9b, 0x6e98, - 0x6e95, 0x6e91, 0x6e8e, 0x6e8b, 0x6e88, 0x6e85, 0x6e82, 0x6e7e, - 0x6e7b, 0x6e78, 0x6e75, 0x6e72, 0x6e6f, 0x6e6b, 0x6e68, 0x6e65, - 0x6e62, 0x6e5f, 0x6e5b, 0x6e58, 0x6e55, 0x6e52, 0x6e4f, 0x6e4c, - 0x6e48, 0x6e45, 0x6e42, 0x6e3f, 0x6e3c, 0x6e38, 0x6e35, 0x6e32, - 0x6e2f, 0x6e2c, 0x6e28, 0x6e25, 0x6e22, 0x6e1f, 0x6e1c, 0x6e18, - 0x6e15, 0x6e12, 0x6e0f, 0x6e0c, 0x6e08, 0x6e05, 0x6e02, 0x6dff, - 0x6dfb, 0x6df8, 0x6df5, 0x6df2, 0x6def, 0x6deb, 0x6de8, 0x6de5, - 0x6de2, 0x6ddf, 0x6ddb, 0x6dd8, 0x6dd5, 0x6dd2, 0x6dce, 0x6dcb, - 0x6dc8, 0x6dc5, 0x6dc1, 0x6dbe, 0x6dbb, 0x6db8, 0x6db5, 0x6db1, - 0x6dae, 0x6dab, 0x6da8, 0x6da4, 0x6da1, 0x6d9e, 0x6d9b, 0x6d97, - 0x6d94, 0x6d91, 0x6d8e, 0x6d8a, 0x6d87, 0x6d84, 0x6d81, 0x6d7d, - 0x6d7a, 0x6d77, 0x6d74, 0x6d70, 0x6d6d, 0x6d6a, 0x6d67, 0x6d63, - 0x6d60, 0x6d5d, 0x6d59, 0x6d56, 0x6d53, 0x6d50, 0x6d4c, 0x6d49, - 0x6d46, 0x6d43, 0x6d3f, 0x6d3c, 0x6d39, 0x6d36, 0x6d32, 0x6d2f, - 0x6d2c, 0x6d28, 0x6d25, 0x6d22, 0x6d1f, 0x6d1b, 0x6d18, 0x6d15, - 0x6d11, 0x6d0e, 0x6d0b, 0x6d08, 0x6d04, 0x6d01, 0x6cfe, 0x6cfa, - 0x6cf7, 0x6cf4, 0x6cf0, 0x6ced, 0x6cea, 0x6ce7, 0x6ce3, 0x6ce0, - 0x6cdd, 0x6cd9, 0x6cd6, 0x6cd3, 0x6ccf, 0x6ccc, 0x6cc9, 0x6cc5, - 0x6cc2, 0x6cbf, 0x6cbc, 0x6cb8, 0x6cb5, 0x6cb2, 0x6cae, 0x6cab, - 0x6ca8, 0x6ca4, 0x6ca1, 0x6c9e, 0x6c9a, 0x6c97, 0x6c94, 0x6c90, - 0x6c8d, 0x6c8a, 0x6c86, 0x6c83, 0x6c80, 0x6c7c, 0x6c79, 0x6c76, - 0x6c72, 0x6c6f, 0x6c6c, 0x6c68, 0x6c65, 0x6c62, 0x6c5e, 0x6c5b, - 0x6c58, 0x6c54, 0x6c51, 0x6c4e, 0x6c4a, 0x6c47, 0x6c44, 0x6c40, - 0x6c3d, 0x6c39, 0x6c36, 0x6c33, 0x6c2f, 0x6c2c, 0x6c29, 0x6c25, - 0x6c22, 0x6c1f, 0x6c1b, 0x6c18, 0x6c15, 0x6c11, 0x6c0e, 0x6c0a, - 0x6c07, 0x6c04, 0x6c00, 0x6bfd, 0x6bfa, 0x6bf6, 0x6bf3, 0x6bef, - 0x6bec, 0x6be9, 0x6be5, 0x6be2, 0x6bdf, 0x6bdb, 0x6bd8, 0x6bd4, - 0x6bd1, 0x6bce, 0x6bca, 0x6bc7, 0x6bc3, 0x6bc0, 0x6bbd, 0x6bb9, - 0x6bb6, 0x6bb2, 0x6baf, 0x6bac, 0x6ba8, 0x6ba5, 0x6ba1, 0x6b9e, - 0x6b9b, 0x6b97, 0x6b94, 0x6b90, 0x6b8d, 0x6b8a, 0x6b86, 0x6b83, - 0x6b7f, 0x6b7c, 0x6b79, 0x6b75, 0x6b72, 0x6b6e, 0x6b6b, 0x6b68, - 0x6b64, 0x6b61, 0x6b5d, 0x6b5a, 0x6b56, 0x6b53, 0x6b50, 0x6b4c, - 0x6b49, 0x6b45, 0x6b42, 0x6b3e, 0x6b3b, 0x6b38, 0x6b34, 0x6b31, - 0x6b2d, 0x6b2a, 0x6b26, 0x6b23, 0x6b20, 0x6b1c, 0x6b19, 0x6b15, - 0x6b12, 0x6b0e, 0x6b0b, 0x6b07, 0x6b04, 0x6b01, 0x6afd, 0x6afa, - 0x6af6, 0x6af3, 0x6aef, 0x6aec, 0x6ae8, 0x6ae5, 0x6ae1, 0x6ade, - 0x6adb, 0x6ad7, 0x6ad4, 0x6ad0, 0x6acd, 0x6ac9, 0x6ac6, 0x6ac2, - 0x6abf, 0x6abb, 0x6ab8, 0x6ab4, 0x6ab1, 0x6aae, 0x6aaa, 0x6aa7, - 0x6aa3, 0x6aa0, 0x6a9c, 0x6a99, 0x6a95, 0x6a92, 0x6a8e, 0x6a8b, - 0x6a87, 0x6a84, 0x6a80, 0x6a7d, 0x6a79, 0x6a76, 0x6a72, 0x6a6f, - 0x6a6b, 0x6a68, 0x6a64, 0x6a61, 0x6a5d, 0x6a5a, 0x6a56, 0x6a53, - 0x6a4f, 0x6a4c, 0x6a48, 0x6a45, 0x6a41, 0x6a3e, 0x6a3a, 0x6a37, - 0x6a33, 0x6a30, 0x6a2c, 0x6a29, 0x6a25, 0x6a22, 0x6a1e, 0x6a1b, - 0x6a17, 0x6a14, 0x6a10, 0x6a0d, 0x6a09, 0x6a06, 0x6a02, 0x69ff, - 0x69fb, 0x69f8, 0x69f4, 0x69f1, 0x69ed, 0x69e9, 0x69e6, 0x69e2, - 0x69df, 0x69db, 0x69d8, 0x69d4, 0x69d1, 0x69cd, 0x69ca, 0x69c6, - 0x69c3, 0x69bf, 0x69bc, 0x69b8, 0x69b4, 0x69b1, 0x69ad, 0x69aa, - 0x69a6, 0x69a3, 0x699f, 0x699c, 0x6998, 0x6995, 0x6991, 0x698d, - 0x698a, 0x6986, 0x6983, 0x697f, 0x697c, 0x6978, 0x6975, 0x6971, - 0x696d, 0x696a, 0x6966, 0x6963, 0x695f, 0x695c, 0x6958, 0x6954, - 0x6951, 0x694d, 0x694a, 0x6946, 0x6943, 0x693f, 0x693b, 0x6938, - 0x6934, 0x6931, 0x692d, 0x692a, 0x6926, 0x6922, 0x691f, 0x691b, - 0x6918, 0x6914, 0x6910, 0x690d, 0x6909, 0x6906, 0x6902, 0x68fe, - 0x68fb, 0x68f7, 0x68f4, 0x68f0, 0x68ec, 0x68e9, 0x68e5, 0x68e2, - 0x68de, 0x68da, 0x68d7, 0x68d3, 0x68d0, 0x68cc, 0x68c8, 0x68c5, - 0x68c1, 0x68be, 0x68ba, 0x68b6, 0x68b3, 0x68af, 0x68ac, 0x68a8, - 0x68a4, 0x68a1, 0x689d, 0x6899, 0x6896, 0x6892, 0x688f, 0x688b, - 0x6887, 0x6884, 0x6880, 0x687c, 0x6879, 0x6875, 0x6872, 0x686e, - 0x686a, 0x6867, 0x6863, 0x685f, 0x685c, 0x6858, 0x6854, 0x6851, - 0x684d, 0x684a, 0x6846, 0x6842, 0x683f, 0x683b, 0x6837, 0x6834, - 0x6830, 0x682c, 0x6829, 0x6825, 0x6821, 0x681e, 0x681a, 0x6816, - 0x6813, 0x680f, 0x680b, 0x6808, 0x6804, 0x6800, 0x67fd, 0x67f9, - 0x67f5, 0x67f2, 0x67ee, 0x67ea, 0x67e7, 0x67e3, 0x67df, 0x67dc, - 0x67d8, 0x67d4, 0x67d1, 0x67cd, 0x67c9, 0x67c6, 0x67c2, 0x67be, - 0x67bb, 0x67b7, 0x67b3, 0x67b0, 0x67ac, 0x67a8, 0x67a5, 0x67a1, - 0x679d, 0x679a, 0x6796, 0x6792, 0x678e, 0x678b, 0x6787, 0x6783, - 0x6780, 0x677c, 0x6778, 0x6775, 0x6771, 0x676d, 0x6769, 0x6766, - 0x6762, 0x675e, 0x675b, 0x6757, 0x6753, 0x6750, 0x674c, 0x6748, - 0x6744, 0x6741, 0x673d, 0x6739, 0x6736, 0x6732, 0x672e, 0x672a, - 0x6727, 0x6723, 0x671f, 0x671c, 0x6718, 0x6714, 0x6710, 0x670d, - 0x6709, 0x6705, 0x6701, 0x66fe, 0x66fa, 0x66f6, 0x66f3, 0x66ef, - 0x66eb, 0x66e7, 0x66e4, 0x66e0, 0x66dc, 0x66d8, 0x66d5, 0x66d1, - 0x66cd, 0x66c9, 0x66c6, 0x66c2, 0x66be, 0x66ba, 0x66b7, 0x66b3, - 0x66af, 0x66ab, 0x66a8, 0x66a4, 0x66a0, 0x669c, 0x6699, 0x6695, - 0x6691, 0x668d, 0x668a, 0x6686, 0x6682, 0x667e, 0x667b, 0x6677, - 0x6673, 0x666f, 0x666b, 0x6668, 0x6664, 0x6660, 0x665c, 0x6659, - 0x6655, 0x6651, 0x664d, 0x664a, 0x6646, 0x6642, 0x663e, 0x663a, - 0x6637, 0x6633, 0x662f, 0x662b, 0x6627, 0x6624, 0x6620, 0x661c, - 0x6618, 0x6615, 0x6611, 0x660d, 0x6609, 0x6605, 0x6602, 0x65fe, - 0x65fa, 0x65f6, 0x65f2, 0x65ef, 0x65eb, 0x65e7, 0x65e3, 0x65df, - 0x65dc, 0x65d8, 0x65d4, 0x65d0, 0x65cc, 0x65c9, 0x65c5, 0x65c1, - 0x65bd, 0x65b9, 0x65b5, 0x65b2, 0x65ae, 0x65aa, 0x65a6, 0x65a2, - 0x659f, 0x659b, 0x6597, 0x6593, 0x658f, 0x658b, 0x6588, 0x6584, - 0x6580, 0x657c, 0x6578, 0x6574, 0x6571, 0x656d, 0x6569, 0x6565, - 0x6561, 0x655d, 0x655a, 0x6556, 0x6552, 0x654e, 0x654a, 0x6546, - 0x6543, 0x653f, 0x653b, 0x6537, 0x6533, 0x652f, 0x652c, 0x6528, - 0x6524, 0x6520, 0x651c, 0x6518, 0x6514, 0x6511, 0x650d, 0x6509, - 0x6505, 0x6501, 0x64fd, 0x64f9, 0x64f6, 0x64f2, 0x64ee, 0x64ea, - 0x64e6, 0x64e2, 0x64de, 0x64db, 0x64d7, 0x64d3, 0x64cf, 0x64cb, - 0x64c7, 0x64c3, 0x64bf, 0x64bc, 0x64b8, 0x64b4, 0x64b0, 0x64ac, - 0x64a8, 0x64a4, 0x64a0, 0x649c, 0x6499, 0x6495, 0x6491, 0x648d, - 0x6489, 0x6485, 0x6481, 0x647d, 0x6479, 0x6476, 0x6472, 0x646e, - 0x646a, 0x6466, 0x6462, 0x645e, 0x645a, 0x6456, 0x6453, 0x644f, - 0x644b, 0x6447, 0x6443, 0x643f, 0x643b, 0x6437, 0x6433, 0x642f, - 0x642b, 0x6428, 0x6424, 0x6420, 0x641c, 0x6418, 0x6414, 0x6410, - 0x640c, 0x6408, 0x6404, 0x6400, 0x63fc, 0x63f9, 0x63f5, 0x63f1, - 0x63ed, 0x63e9, 0x63e5, 0x63e1, 0x63dd, 0x63d9, 0x63d5, 0x63d1, - 0x63cd, 0x63c9, 0x63c5, 0x63c1, 0x63be, 0x63ba, 0x63b6, 0x63b2, - 0x63ae, 0x63aa, 0x63a6, 0x63a2, 0x639e, 0x639a, 0x6396, 0x6392, - 0x638e, 0x638a, 0x6386, 0x6382, 0x637e, 0x637a, 0x6377, 0x6373, - 0x636f, 0x636b, 0x6367, 0x6363, 0x635f, 0x635b, 0x6357, 0x6353, - 0x634f, 0x634b, 0x6347, 0x6343, 0x633f, 0x633b, 0x6337, 0x6333, - 0x632f, 0x632b, 0x6327, 0x6323, 0x631f, 0x631b, 0x6317, 0x6313, - 0x630f, 0x630b, 0x6307, 0x6303, 0x62ff, 0x62fb, 0x62f7, 0x62f3, - 0x62f0, 0x62ec, 0x62e8, 0x62e4, 0x62e0, 0x62dc, 0x62d8, 0x62d4, - 0x62d0, 0x62cc, 0x62c8, 0x62c4, 0x62c0, 0x62bc, 0x62b8, 0x62b4, - 0x62b0, 0x62ac, 0x62a8, 0x62a4, 0x62a0, 0x629c, 0x6298, 0x6294, - 0x6290, 0x628c, 0x6288, 0x6284, 0x6280, 0x627c, 0x6278, 0x6273, - 0x626f, 0x626b, 0x6267, 0x6263, 0x625f, 0x625b, 0x6257, 0x6253, - 0x624f, 0x624b, 0x6247, 0x6243, 0x623f, 0x623b, 0x6237, 0x6233, - 0x622f, 0x622b, 0x6227, 0x6223, 0x621f, 0x621b, 0x6217, 0x6213, - 0x620f, 0x620b, 0x6207, 0x6203, 0x61ff, 0x61fb, 0x61f7, 0x61f3, - 0x61ee, 0x61ea, 0x61e6, 0x61e2, 0x61de, 0x61da, 0x61d6, 0x61d2, - 0x61ce, 0x61ca, 0x61c6, 0x61c2, 0x61be, 0x61ba, 0x61b6, 0x61b2, - 0x61ae, 0x61aa, 0x61a6, 0x61a1, 0x619d, 0x6199, 0x6195, 0x6191, - 0x618d, 0x6189, 0x6185, 0x6181, 0x617d, 0x6179, 0x6175, 0x6171, - 0x616d, 0x6168, 0x6164, 0x6160, 0x615c, 0x6158, 0x6154, 0x6150, - 0x614c, 0x6148, 0x6144, 0x6140, 0x613c, 0x6137, 0x6133, 0x612f, - 0x612b, 0x6127, 0x6123, 0x611f, 0x611b, 0x6117, 0x6113, 0x610f, - 0x610a, 0x6106, 0x6102, 0x60fe, 0x60fa, 0x60f6, 0x60f2, 0x60ee, - 0x60ea, 0x60e6, 0x60e1, 0x60dd, 0x60d9, 0x60d5, 0x60d1, 0x60cd, - 0x60c9, 0x60c5, 0x60c1, 0x60bc, 0x60b8, 0x60b4, 0x60b0, 0x60ac, - 0x60a8, 0x60a4, 0x60a0, 0x609c, 0x6097, 0x6093, 0x608f, 0x608b, - 0x6087, 0x6083, 0x607f, 0x607b, 0x6076, 0x6072, 0x606e, 0x606a, - 0x6066, 0x6062, 0x605e, 0x6059, 0x6055, 0x6051, 0x604d, 0x6049, - 0x6045, 0x6041, 0x603c, 0x6038, 0x6034, 0x6030, 0x602c, 0x6028, - 0x6024, 0x601f, 0x601b, 0x6017, 0x6013, 0x600f, 0x600b, 0x6007, - 0x6002, 0x5ffe, 0x5ffa, 0x5ff6, 0x5ff2, 0x5fee, 0x5fe9, 0x5fe5, - 0x5fe1, 0x5fdd, 0x5fd9, 0x5fd5, 0x5fd0, 0x5fcc, 0x5fc8, 0x5fc4, - 0x5fc0, 0x5fbc, 0x5fb7, 0x5fb3, 0x5faf, 0x5fab, 0x5fa7, 0x5fa3, - 0x5f9e, 0x5f9a, 0x5f96, 0x5f92, 0x5f8e, 0x5f8a, 0x5f85, 0x5f81, - 0x5f7d, 0x5f79, 0x5f75, 0x5f70, 0x5f6c, 0x5f68, 0x5f64, 0x5f60, - 0x5f5b, 0x5f57, 0x5f53, 0x5f4f, 0x5f4b, 0x5f46, 0x5f42, 0x5f3e, - 0x5f3a, 0x5f36, 0x5f31, 0x5f2d, 0x5f29, 0x5f25, 0x5f21, 0x5f1c, - 0x5f18, 0x5f14, 0x5f10, 0x5f0c, 0x5f07, 0x5f03, 0x5eff, 0x5efb, - 0x5ef7, 0x5ef2, 0x5eee, 0x5eea, 0x5ee6, 0x5ee2, 0x5edd, 0x5ed9, - 0x5ed5, 0x5ed1, 0x5ecc, 0x5ec8, 0x5ec4, 0x5ec0, 0x5ebc, 0x5eb7, - 0x5eb3, 0x5eaf, 0x5eab, 0x5ea6, 0x5ea2, 0x5e9e, 0x5e9a, 0x5e95, - 0x5e91, 0x5e8d, 0x5e89, 0x5e85, 0x5e80, 0x5e7c, 0x5e78, 0x5e74, - 0x5e6f, 0x5e6b, 0x5e67, 0x5e63, 0x5e5e, 0x5e5a, 0x5e56, 0x5e52, - 0x5e4d, 0x5e49, 0x5e45, 0x5e41, 0x5e3c, 0x5e38, 0x5e34, 0x5e30, - 0x5e2b, 0x5e27, 0x5e23, 0x5e1f, 0x5e1a, 0x5e16, 0x5e12, 0x5e0e, - 0x5e09, 0x5e05, 0x5e01, 0x5dfd, 0x5df8, 0x5df4, 0x5df0, 0x5deb, - 0x5de7, 0x5de3, 0x5ddf, 0x5dda, 0x5dd6, 0x5dd2, 0x5dce, 0x5dc9, - 0x5dc5, 0x5dc1, 0x5dbc, 0x5db8, 0x5db4, 0x5db0, 0x5dab, 0x5da7, - 0x5da3, 0x5d9e, 0x5d9a, 0x5d96, 0x5d92, 0x5d8d, 0x5d89, 0x5d85, - 0x5d80, 0x5d7c, 0x5d78, 0x5d74, 0x5d6f, 0x5d6b, 0x5d67, 0x5d62, - 0x5d5e, 0x5d5a, 0x5d55, 0x5d51, 0x5d4d, 0x5d49, 0x5d44, 0x5d40, - 0x5d3c, 0x5d37, 0x5d33, 0x5d2f, 0x5d2a, 0x5d26, 0x5d22, 0x5d1e, - 0x5d19, 0x5d15, 0x5d11, 0x5d0c, 0x5d08, 0x5d04, 0x5cff, 0x5cfb, - 0x5cf7, 0x5cf2, 0x5cee, 0x5cea, 0x5ce5, 0x5ce1, 0x5cdd, 0x5cd8, - 0x5cd4, 0x5cd0, 0x5ccb, 0x5cc7, 0x5cc3, 0x5cbe, 0x5cba, 0x5cb6, - 0x5cb1, 0x5cad, 0x5ca9, 0x5ca4, 0x5ca0, 0x5c9c, 0x5c97, 0x5c93, - 0x5c8f, 0x5c8a, 0x5c86, 0x5c82, 0x5c7d, 0x5c79, 0x5c75, 0x5c70, - 0x5c6c, 0x5c68, 0x5c63, 0x5c5f, 0x5c5b, 0x5c56, 0x5c52, 0x5c4e, - 0x5c49, 0x5c45, 0x5c41, 0x5c3c, 0x5c38, 0x5c33, 0x5c2f, 0x5c2b, - 0x5c26, 0x5c22, 0x5c1e, 0x5c19, 0x5c15, 0x5c11, 0x5c0c, 0x5c08, - 0x5c03, 0x5bff, 0x5bfb, 0x5bf6, 0x5bf2, 0x5bee, 0x5be9, 0x5be5, - 0x5be0, 0x5bdc, 0x5bd8, 0x5bd3, 0x5bcf, 0x5bcb, 0x5bc6, 0x5bc2, - 0x5bbd, 0x5bb9, 0x5bb5, 0x5bb0, 0x5bac, 0x5ba8, 0x5ba3, 0x5b9f, - 0x5b9a, 0x5b96, 0x5b92, 0x5b8d, 0x5b89, 0x5b84, 0x5b80, 0x5b7c, - 0x5b77, 0x5b73, 0x5b6e, 0x5b6a, 0x5b66, 0x5b61, 0x5b5d, 0x5b58, - 0x5b54, 0x5b50, 0x5b4b, 0x5b47, 0x5b42, 0x5b3e, 0x5b3a, 0x5b35, - 0x5b31, 0x5b2c, 0x5b28, 0x5b24, 0x5b1f, 0x5b1b, 0x5b16, 0x5b12, - 0x5b0e, 0x5b09, 0x5b05, 0x5b00, 0x5afc, 0x5af7, 0x5af3, 0x5aef, - 0x5aea, 0x5ae6, 0x5ae1, 0x5add, 0x5ad8, 0x5ad4, 0x5ad0, 0x5acb, - 0x5ac7, 0x5ac2, 0x5abe, 0x5ab9, 0x5ab5, 0x5ab1, 0x5aac, 0x5aa8, - 0x5aa3, 0x5a9f, 0x5a9a, 0x5a96, 0x5a92, 0x5a8d, 0x5a89, 0x5a84, - 0x5a80, 0x5a7b, 0x5a77, 0x5a72, 0x5a6e, 0x5a6a, 0x5a65, 0x5a61, - 0x5a5c, 0x5a58, 0x5a53, 0x5a4f, 0x5a4a, 0x5a46, 0x5a41, 0x5a3d, - 0x5a39, 0x5a34, 0x5a30, 0x5a2b, 0x5a27, 0x5a22, 0x5a1e, 0x5a19, - 0x5a15, 0x5a10, 0x5a0c, 0x5a07, 0x5a03, 0x59ff, 0x59fa, 0x59f6, - 0x59f1, 0x59ed, 0x59e8, 0x59e4, 0x59df, 0x59db, 0x59d6, 0x59d2, - 0x59cd, 0x59c9, 0x59c4, 0x59c0, 0x59bb, 0x59b7, 0x59b2, 0x59ae, - 0x59a9, 0x59a5, 0x59a1, 0x599c, 0x5998, 0x5993, 0x598f, 0x598a, - 0x5986, 0x5981, 0x597d, 0x5978, 0x5974, 0x596f, 0x596b, 0x5966, - 0x5962, 0x595d, 0x5959, 0x5954, 0x5950, 0x594b, 0x5947, 0x5942, - 0x593e, 0x5939, 0x5935, 0x5930, 0x592c, 0x5927, 0x5923, 0x591e, - 0x591a, 0x5915, 0x5911, 0x590c, 0x5908, 0x5903, 0x58fe, 0x58fa, - 0x58f5, 0x58f1, 0x58ec, 0x58e8, 0x58e3, 0x58df, 0x58da, 0x58d6, - 0x58d1, 0x58cd, 0x58c8, 0x58c4, 0x58bf, 0x58bb, 0x58b6, 0x58b2, - 0x58ad, 0x58a9, 0x58a4, 0x589f, 0x589b, 0x5896, 0x5892, 0x588d, - 0x5889, 0x5884, 0x5880, 0x587b, 0x5877, 0x5872, 0x586e, 0x5869, - 0x5864, 0x5860, 0x585b, 0x5857, 0x5852, 0x584e, 0x5849, 0x5845, - 0x5840, 0x583c, 0x5837, 0x5832, 0x582e, 0x5829, 0x5825, 0x5820, - 0x581c, 0x5817, 0x5813, 0x580e, 0x5809, 0x5805, 0x5800, 0x57fc, - 0x57f7, 0x57f3, 0x57ee, 0x57e9, 0x57e5, 0x57e0, 0x57dc, 0x57d7, - 0x57d3, 0x57ce, 0x57c9, 0x57c5, 0x57c0, 0x57bc, 0x57b7, 0x57b3, - 0x57ae, 0x57a9, 0x57a5, 0x57a0, 0x579c, 0x5797, 0x5793, 0x578e, - 0x5789, 0x5785, 0x5780, 0x577c, 0x5777, 0x5772, 0x576e, 0x5769, - 0x5765, 0x5760, 0x575c, 0x5757, 0x5752, 0x574e, 0x5749, 0x5745, - 0x5740, 0x573b, 0x5737, 0x5732, 0x572e, 0x5729, 0x5724, 0x5720, - 0x571b, 0x5717, 0x5712, 0x570d, 0x5709, 0x5704, 0x56ff, 0x56fb, - 0x56f6, 0x56f2, 0x56ed, 0x56e8, 0x56e4, 0x56df, 0x56db, 0x56d6, - 0x56d1, 0x56cd, 0x56c8, 0x56c4, 0x56bf, 0x56ba, 0x56b6, 0x56b1, - 0x56ac, 0x56a8, 0x56a3, 0x569f, 0x569a, 0x5695, 0x5691, 0x568c, - 0x5687, 0x5683, 0x567e, 0x5679, 0x5675, 0x5670, 0x566c, 0x5667, - 0x5662, 0x565e, 0x5659, 0x5654, 0x5650, 0x564b, 0x5646, 0x5642, - 0x563d, 0x5639, 0x5634, 0x562f, 0x562b, 0x5626, 0x5621, 0x561d, - 0x5618, 0x5613, 0x560f, 0x560a, 0x5605, 0x5601, 0x55fc, 0x55f7, - 0x55f3, 0x55ee, 0x55ea, 0x55e5, 0x55e0, 0x55dc, 0x55d7, 0x55d2, - 0x55ce, 0x55c9, 0x55c4, 0x55c0, 0x55bb, 0x55b6, 0x55b2, 0x55ad, - 0x55a8, 0x55a4, 0x559f, 0x559a, 0x5596, 0x5591, 0x558c, 0x5588, - 0x5583, 0x557e, 0x5579, 0x5575, 0x5570, 0x556b, 0x5567, 0x5562, - 0x555d, 0x5559, 0x5554, 0x554f, 0x554b, 0x5546, 0x5541, 0x553d, - 0x5538, 0x5533, 0x552f, 0x552a, 0x5525, 0x5520, 0x551c, 0x5517, - 0x5512, 0x550e, 0x5509, 0x5504, 0x5500, 0x54fb, 0x54f6, 0x54f2, - 0x54ed, 0x54e8, 0x54e3, 0x54df, 0x54da, 0x54d5, 0x54d1, 0x54cc, - 0x54c7, 0x54c2, 0x54be, 0x54b9, 0x54b4, 0x54b0, 0x54ab, 0x54a6, - 0x54a2, 0x549d, 0x5498, 0x5493, 0x548f, 0x548a, 0x5485, 0x5480, - 0x547c, 0x5477, 0x5472, 0x546e, 0x5469, 0x5464, 0x545f, 0x545b, - 0x5456, 0x5451, 0x544d, 0x5448, 0x5443, 0x543e, 0x543a, 0x5435, - 0x5430, 0x542b, 0x5427, 0x5422, 0x541d, 0x5418, 0x5414, 0x540f, - 0x540a, 0x5406, 0x5401, 0x53fc, 0x53f7, 0x53f3, 0x53ee, 0x53e9, - 0x53e4, 0x53e0, 0x53db, 0x53d6, 0x53d1, 0x53cd, 0x53c8, 0x53c3, - 0x53be, 0x53ba, 0x53b5, 0x53b0, 0x53ab, 0x53a7, 0x53a2, 0x539d, - 0x5398, 0x5394, 0x538f, 0x538a, 0x5385, 0x5380, 0x537c, 0x5377, - 0x5372, 0x536d, 0x5369, 0x5364, 0x535f, 0x535a, 0x5356, 0x5351, - 0x534c, 0x5347, 0x5343, 0x533e, 0x5339, 0x5334, 0x532f, 0x532b, - 0x5326, 0x5321, 0x531c, 0x5318, 0x5313, 0x530e, 0x5309, 0x5304, - 0x5300, 0x52fb, 0x52f6, 0x52f1, 0x52ec, 0x52e8, 0x52e3, 0x52de, - 0x52d9, 0x52d5, 0x52d0, 0x52cb, 0x52c6, 0x52c1, 0x52bd, 0x52b8, - 0x52b3, 0x52ae, 0x52a9, 0x52a5, 0x52a0, 0x529b, 0x5296, 0x5291, - 0x528d, 0x5288, 0x5283, 0x527e, 0x5279, 0x5275, 0x5270, 0x526b, - 0x5266, 0x5261, 0x525d, 0x5258, 0x5253, 0x524e, 0x5249, 0x5244, - 0x5240, 0x523b, 0x5236, 0x5231, 0x522c, 0x5228, 0x5223, 0x521e, - 0x5219, 0x5214, 0x520f, 0x520b, 0x5206, 0x5201, 0x51fc, 0x51f7, - 0x51f3, 0x51ee, 0x51e9, 0x51e4, 0x51df, 0x51da, 0x51d6, 0x51d1, - 0x51cc, 0x51c7, 0x51c2, 0x51bd, 0x51b9, 0x51b4, 0x51af, 0x51aa, - 0x51a5, 0x51a0, 0x519c, 0x5197, 0x5192, 0x518d, 0x5188, 0x5183, - 0x517e, 0x517a, 0x5175, 0x5170, 0x516b, 0x5166, 0x5161, 0x515d, - 0x5158, 0x5153, 0x514e, 0x5149, 0x5144, 0x513f, 0x513b, 0x5136, - 0x5131, 0x512c, 0x5127, 0x5122, 0x511d, 0x5119, 0x5114, 0x510f, - 0x510a, 0x5105, 0x5100, 0x50fb, 0x50f7, 0x50f2, 0x50ed, 0x50e8, - 0x50e3, 0x50de, 0x50d9, 0x50d4, 0x50d0, 0x50cb, 0x50c6, 0x50c1, - 0x50bc, 0x50b7, 0x50b2, 0x50ad, 0x50a9, 0x50a4, 0x509f, 0x509a, - 0x5095, 0x5090, 0x508b, 0x5086, 0x5082, 0x507d, 0x5078, 0x5073, - 0x506e, 0x5069, 0x5064, 0x505f, 0x505a, 0x5056, 0x5051, 0x504c, - 0x5047, 0x5042, 0x503d, 0x5038, 0x5033, 0x502e, 0x5029, 0x5025, - 0x5020, 0x501b, 0x5016, 0x5011, 0x500c, 0x5007, 0x5002, 0x4ffd, - 0x4ff8, 0x4ff4, 0x4fef, 0x4fea, 0x4fe5, 0x4fe0, 0x4fdb, 0x4fd6, - 0x4fd1, 0x4fcc, 0x4fc7, 0x4fc2, 0x4fbe, 0x4fb9, 0x4fb4, 0x4faf, - 0x4faa, 0x4fa5, 0x4fa0, 0x4f9b, 0x4f96, 0x4f91, 0x4f8c, 0x4f87, - 0x4f82, 0x4f7e, 0x4f79, 0x4f74, 0x4f6f, 0x4f6a, 0x4f65, 0x4f60, - 0x4f5b, 0x4f56, 0x4f51, 0x4f4c, 0x4f47, 0x4f42, 0x4f3d, 0x4f39, - 0x4f34, 0x4f2f, 0x4f2a, 0x4f25, 0x4f20, 0x4f1b, 0x4f16, 0x4f11, - 0x4f0c, 0x4f07, 0x4f02, 0x4efd, 0x4ef8, 0x4ef3, 0x4eee, 0x4ee9, - 0x4ee5, 0x4ee0, 0x4edb, 0x4ed6, 0x4ed1, 0x4ecc, 0x4ec7, 0x4ec2, - 0x4ebd, 0x4eb8, 0x4eb3, 0x4eae, 0x4ea9, 0x4ea4, 0x4e9f, 0x4e9a, - 0x4e95, 0x4e90, 0x4e8b, 0x4e86, 0x4e81, 0x4e7c, 0x4e78, 0x4e73, - 0x4e6e, 0x4e69, 0x4e64, 0x4e5f, 0x4e5a, 0x4e55, 0x4e50, 0x4e4b, - 0x4e46, 0x4e41, 0x4e3c, 0x4e37, 0x4e32, 0x4e2d, 0x4e28, 0x4e23, - 0x4e1e, 0x4e19, 0x4e14, 0x4e0f, 0x4e0a, 0x4e05, 0x4e00, 0x4dfb, - 0x4df6, 0x4df1, 0x4dec, 0x4de7, 0x4de2, 0x4ddd, 0x4dd8, 0x4dd3, - 0x4dce, 0x4dc9, 0x4dc4, 0x4dbf, 0x4dba, 0x4db5, 0x4db0, 0x4dab, - 0x4da6, 0x4da1, 0x4d9c, 0x4d97, 0x4d92, 0x4d8d, 0x4d88, 0x4d83, - 0x4d7e, 0x4d79, 0x4d74, 0x4d6f, 0x4d6a, 0x4d65, 0x4d60, 0x4d5b, - 0x4d56, 0x4d51, 0x4d4c, 0x4d47, 0x4d42, 0x4d3d, 0x4d38, 0x4d33, - 0x4d2e, 0x4d29, 0x4d24, 0x4d1f, 0x4d1a, 0x4d15, 0x4d10, 0x4d0b, - 0x4d06, 0x4d01, 0x4cfc, 0x4cf7, 0x4cf2, 0x4ced, 0x4ce8, 0x4ce3, - 0x4cde, 0x4cd9, 0x4cd4, 0x4ccf, 0x4cca, 0x4cc5, 0x4cc0, 0x4cbb, - 0x4cb6, 0x4cb1, 0x4cac, 0x4ca7, 0x4ca2, 0x4c9d, 0x4c98, 0x4c93, - 0x4c8e, 0x4c88, 0x4c83, 0x4c7e, 0x4c79, 0x4c74, 0x4c6f, 0x4c6a, - 0x4c65, 0x4c60, 0x4c5b, 0x4c56, 0x4c51, 0x4c4c, 0x4c47, 0x4c42, - 0x4c3d, 0x4c38, 0x4c33, 0x4c2e, 0x4c29, 0x4c24, 0x4c1f, 0x4c1a, - 0x4c14, 0x4c0f, 0x4c0a, 0x4c05, 0x4c00, 0x4bfb, 0x4bf6, 0x4bf1, - 0x4bec, 0x4be7, 0x4be2, 0x4bdd, 0x4bd8, 0x4bd3, 0x4bce, 0x4bc9, - 0x4bc4, 0x4bbe, 0x4bb9, 0x4bb4, 0x4baf, 0x4baa, 0x4ba5, 0x4ba0, - 0x4b9b, 0x4b96, 0x4b91, 0x4b8c, 0x4b87, 0x4b82, 0x4b7d, 0x4b77, - 0x4b72, 0x4b6d, 0x4b68, 0x4b63, 0x4b5e, 0x4b59, 0x4b54, 0x4b4f, - 0x4b4a, 0x4b45, 0x4b40, 0x4b3b, 0x4b35, 0x4b30, 0x4b2b, 0x4b26, - 0x4b21, 0x4b1c, 0x4b17, 0x4b12, 0x4b0d, 0x4b08, 0x4b03, 0x4afd, - 0x4af8, 0x4af3, 0x4aee, 0x4ae9, 0x4ae4, 0x4adf, 0x4ada, 0x4ad5, - 0x4ad0, 0x4acb, 0x4ac5, 0x4ac0, 0x4abb, 0x4ab6, 0x4ab1, 0x4aac, - 0x4aa7, 0x4aa2, 0x4a9d, 0x4a97, 0x4a92, 0x4a8d, 0x4a88, 0x4a83, - 0x4a7e, 0x4a79, 0x4a74, 0x4a6f, 0x4a6a, 0x4a64, 0x4a5f, 0x4a5a, - 0x4a55, 0x4a50, 0x4a4b, 0x4a46, 0x4a41, 0x4a3b, 0x4a36, 0x4a31, - 0x4a2c, 0x4a27, 0x4a22, 0x4a1d, 0x4a18, 0x4a12, 0x4a0d, 0x4a08, - 0x4a03, 0x49fe, 0x49f9, 0x49f4, 0x49ef, 0x49e9, 0x49e4, 0x49df, - 0x49da, 0x49d5, 0x49d0, 0x49cb, 0x49c6, 0x49c0, 0x49bb, 0x49b6, - 0x49b1, 0x49ac, 0x49a7, 0x49a2, 0x499c, 0x4997, 0x4992, 0x498d, - 0x4988, 0x4983, 0x497e, 0x4978, 0x4973, 0x496e, 0x4969, 0x4964, - 0x495f, 0x495a, 0x4954, 0x494f, 0x494a, 0x4945, 0x4940, 0x493b, - 0x4936, 0x4930, 0x492b, 0x4926, 0x4921, 0x491c, 0x4917, 0x4911, - 0x490c, 0x4907, 0x4902, 0x48fd, 0x48f8, 0x48f2, 0x48ed, 0x48e8, - 0x48e3, 0x48de, 0x48d9, 0x48d3, 0x48ce, 0x48c9, 0x48c4, 0x48bf, - 0x48ba, 0x48b4, 0x48af, 0x48aa, 0x48a5, 0x48a0, 0x489b, 0x4895, - 0x4890, 0x488b, 0x4886, 0x4881, 0x487c, 0x4876, 0x4871, 0x486c, - 0x4867, 0x4862, 0x485c, 0x4857, 0x4852, 0x484d, 0x4848, 0x4843, - 0x483d, 0x4838, 0x4833, 0x482e, 0x4829, 0x4823, 0x481e, 0x4819, - 0x4814, 0x480f, 0x4809, 0x4804, 0x47ff, 0x47fa, 0x47f5, 0x47ef, - 0x47ea, 0x47e5, 0x47e0, 0x47db, 0x47d5, 0x47d0, 0x47cb, 0x47c6, - 0x47c1, 0x47bb, 0x47b6, 0x47b1, 0x47ac, 0x47a7, 0x47a1, 0x479c, - 0x4797, 0x4792, 0x478d, 0x4787, 0x4782, 0x477d, 0x4778, 0x4773, - 0x476d, 0x4768, 0x4763, 0x475e, 0x4758, 0x4753, 0x474e, 0x4749, - 0x4744, 0x473e, 0x4739, 0x4734, 0x472f, 0x4729, 0x4724, 0x471f, - 0x471a, 0x4715, 0x470f, 0x470a, 0x4705, 0x4700, 0x46fa, 0x46f5, - 0x46f0, 0x46eb, 0x46e6, 0x46e0, 0x46db, 0x46d6, 0x46d1, 0x46cb, - 0x46c6, 0x46c1, 0x46bc, 0x46b6, 0x46b1, 0x46ac, 0x46a7, 0x46a1, - 0x469c, 0x4697, 0x4692, 0x468d, 0x4687, 0x4682, 0x467d, 0x4678, - 0x4672, 0x466d, 0x4668, 0x4663, 0x465d, 0x4658, 0x4653, 0x464e, - 0x4648, 0x4643, 0x463e, 0x4639, 0x4633, 0x462e, 0x4629, 0x4624, - 0x461e, 0x4619, 0x4614, 0x460e, 0x4609, 0x4604, 0x45ff, 0x45f9, - 0x45f4, 0x45ef, 0x45ea, 0x45e4, 0x45df, 0x45da, 0x45d5, 0x45cf, - 0x45ca, 0x45c5, 0x45c0, 0x45ba, 0x45b5, 0x45b0, 0x45aa, 0x45a5, - 0x45a0, 0x459b, 0x4595, 0x4590, 0x458b, 0x4586, 0x4580, 0x457b, - 0x4576, 0x4570, 0x456b, 0x4566, 0x4561, 0x455b, 0x4556, 0x4551, - 0x454b, 0x4546, 0x4541, 0x453c, 0x4536, 0x4531, 0x452c, 0x4526, - 0x4521, 0x451c, 0x4517, 0x4511, 0x450c, 0x4507, 0x4501, 0x44fc, - 0x44f7, 0x44f2, 0x44ec, 0x44e7, 0x44e2, 0x44dc, 0x44d7, 0x44d2, - 0x44cd, 0x44c7, 0x44c2, 0x44bd, 0x44b7, 0x44b2, 0x44ad, 0x44a7, - 0x44a2, 0x449d, 0x4497, 0x4492, 0x448d, 0x4488, 0x4482, 0x447d, - 0x4478, 0x4472, 0x446d, 0x4468, 0x4462, 0x445d, 0x4458, 0x4452, - 0x444d, 0x4448, 0x4443, 0x443d, 0x4438, 0x4433, 0x442d, 0x4428, - 0x4423, 0x441d, 0x4418, 0x4413, 0x440d, 0x4408, 0x4403, 0x43fd, - 0x43f8, 0x43f3, 0x43ed, 0x43e8, 0x43e3, 0x43dd, 0x43d8, 0x43d3, - 0x43cd, 0x43c8, 0x43c3, 0x43bd, 0x43b8, 0x43b3, 0x43ad, 0x43a8, - 0x43a3, 0x439d, 0x4398, 0x4393, 0x438d, 0x4388, 0x4383, 0x437d, - 0x4378, 0x4373, 0x436d, 0x4368, 0x4363, 0x435d, 0x4358, 0x4353, - 0x434d, 0x4348, 0x4343, 0x433d, 0x4338, 0x4333, 0x432d, 0x4328, - 0x4323, 0x431d, 0x4318, 0x4313, 0x430d, 0x4308, 0x4302, 0x42fd, - 0x42f8, 0x42f2, 0x42ed, 0x42e8, 0x42e2, 0x42dd, 0x42d8, 0x42d2, - 0x42cd, 0x42c8, 0x42c2, 0x42bd, 0x42b7, 0x42b2, 0x42ad, 0x42a7, - 0x42a2, 0x429d, 0x4297, 0x4292, 0x428d, 0x4287, 0x4282, 0x427c, - 0x4277, 0x4272, 0x426c, 0x4267, 0x4262, 0x425c, 0x4257, 0x4251, - 0x424c, 0x4247, 0x4241, 0x423c, 0x4237, 0x4231, 0x422c, 0x4226, - 0x4221, 0x421c, 0x4216, 0x4211, 0x420c, 0x4206, 0x4201, 0x41fb, - 0x41f6, 0x41f1, 0x41eb, 0x41e6, 0x41e0, 0x41db, 0x41d6, 0x41d0, - 0x41cb, 0x41c6, 0x41c0, 0x41bb, 0x41b5, 0x41b0, 0x41ab, 0x41a5, - 0x41a0, 0x419a, 0x4195, 0x4190, 0x418a, 0x4185, 0x417f, 0x417a, - 0x4175, 0x416f, 0x416a, 0x4164, 0x415f, 0x415a, 0x4154, 0x414f, - 0x4149, 0x4144, 0x413f, 0x4139, 0x4134, 0x412e, 0x4129, 0x4124, - 0x411e, 0x4119, 0x4113, 0x410e, 0x4108, 0x4103, 0x40fe, 0x40f8, - 0x40f3, 0x40ed, 0x40e8, 0x40e3, 0x40dd, 0x40d8, 0x40d2, 0x40cd, - 0x40c8, 0x40c2, 0x40bd, 0x40b7, 0x40b2, 0x40ac, 0x40a7, 0x40a2, - 0x409c, 0x4097, 0x4091, 0x408c, 0x4086, 0x4081, 0x407c, 0x4076, - 0x4071, 0x406b, 0x4066, 0x4060, 0x405b, 0x4056, 0x4050, 0x404b, - 0x4045, 0x4040, 0x403a, 0x4035, 0x4030, 0x402a, 0x4025, 0x401f, - 0x401a, 0x4014, 0x400f, 0x4009, 0x4004, 0x3fff, 0x3ff9, 0x3ff4, - 0x3fee, 0x3fe9, 0x3fe3, 0x3fde, 0x3fd8, 0x3fd3, 0x3fce, 0x3fc8, - 0x3fc3, 0x3fbd, 0x3fb8, 0x3fb2, 0x3fad, 0x3fa7, 0x3fa2, 0x3f9d, - 0x3f97, 0x3f92, 0x3f8c, 0x3f87, 0x3f81, 0x3f7c, 0x3f76, 0x3f71, - 0x3f6b, 0x3f66, 0x3f61, 0x3f5b, 0x3f56, 0x3f50, 0x3f4b, 0x3f45, - 0x3f40, 0x3f3a, 0x3f35, 0x3f2f, 0x3f2a, 0x3f24, 0x3f1f, 0x3f1a, - 0x3f14, 0x3f0f, 0x3f09, 0x3f04, 0x3efe, 0x3ef9, 0x3ef3, 0x3eee, - 0x3ee8, 0x3ee3, 0x3edd, 0x3ed8, 0x3ed2, 0x3ecd, 0x3ec7, 0x3ec2, - 0x3ebd, 0x3eb7, 0x3eb2, 0x3eac, 0x3ea7, 0x3ea1, 0x3e9c, 0x3e96, - 0x3e91, 0x3e8b, 0x3e86, 0x3e80, 0x3e7b, 0x3e75, 0x3e70, 0x3e6a, - 0x3e65, 0x3e5f, 0x3e5a, 0x3e54, 0x3e4f, 0x3e49, 0x3e44, 0x3e3e, - 0x3e39, 0x3e33, 0x3e2e, 0x3e28, 0x3e23, 0x3e1d, 0x3e18, 0x3e12, - 0x3e0d, 0x3e07, 0x3e02, 0x3dfc, 0x3df7, 0x3df1, 0x3dec, 0x3de6, - 0x3de1, 0x3ddb, 0x3dd6, 0x3dd0, 0x3dcb, 0x3dc5, 0x3dc0, 0x3dba, - 0x3db5, 0x3daf, 0x3daa, 0x3da4, 0x3d9f, 0x3d99, 0x3d94, 0x3d8e, - 0x3d89, 0x3d83, 0x3d7e, 0x3d78, 0x3d73, 0x3d6d, 0x3d68, 0x3d62, - 0x3d5d, 0x3d57, 0x3d52, 0x3d4c, 0x3d47, 0x3d41, 0x3d3c, 0x3d36, - 0x3d31, 0x3d2b, 0x3d26, 0x3d20, 0x3d1b, 0x3d15, 0x3d10, 0x3d0a, - 0x3d04, 0x3cff, 0x3cf9, 0x3cf4, 0x3cee, 0x3ce9, 0x3ce3, 0x3cde, - 0x3cd8, 0x3cd3, 0x3ccd, 0x3cc8, 0x3cc2, 0x3cbd, 0x3cb7, 0x3cb2, - 0x3cac, 0x3ca7, 0x3ca1, 0x3c9b, 0x3c96, 0x3c90, 0x3c8b, 0x3c85, - 0x3c80, 0x3c7a, 0x3c75, 0x3c6f, 0x3c6a, 0x3c64, 0x3c5f, 0x3c59, - 0x3c53, 0x3c4e, 0x3c48, 0x3c43, 0x3c3d, 0x3c38, 0x3c32, 0x3c2d, - 0x3c27, 0x3c22, 0x3c1c, 0x3c16, 0x3c11, 0x3c0b, 0x3c06, 0x3c00, - 0x3bfb, 0x3bf5, 0x3bf0, 0x3bea, 0x3be5, 0x3bdf, 0x3bd9, 0x3bd4, - 0x3bce, 0x3bc9, 0x3bc3, 0x3bbe, 0x3bb8, 0x3bb3, 0x3bad, 0x3ba7, - 0x3ba2, 0x3b9c, 0x3b97, 0x3b91, 0x3b8c, 0x3b86, 0x3b80, 0x3b7b, - 0x3b75, 0x3b70, 0x3b6a, 0x3b65, 0x3b5f, 0x3b5a, 0x3b54, 0x3b4e, - 0x3b49, 0x3b43, 0x3b3e, 0x3b38, 0x3b33, 0x3b2d, 0x3b27, 0x3b22, - 0x3b1c, 0x3b17, 0x3b11, 0x3b0c, 0x3b06, 0x3b00, 0x3afb, 0x3af5, - 0x3af0, 0x3aea, 0x3ae4, 0x3adf, 0x3ad9, 0x3ad4, 0x3ace, 0x3ac9, - 0x3ac3, 0x3abd, 0x3ab8, 0x3ab2, 0x3aad, 0x3aa7, 0x3aa2, 0x3a9c, - 0x3a96, 0x3a91, 0x3a8b, 0x3a86, 0x3a80, 0x3a7a, 0x3a75, 0x3a6f, - 0x3a6a, 0x3a64, 0x3a5e, 0x3a59, 0x3a53, 0x3a4e, 0x3a48, 0x3a42, - 0x3a3d, 0x3a37, 0x3a32, 0x3a2c, 0x3a26, 0x3a21, 0x3a1b, 0x3a16, - 0x3a10, 0x3a0b, 0x3a05, 0x39ff, 0x39fa, 0x39f4, 0x39ee, 0x39e9, - 0x39e3, 0x39de, 0x39d8, 0x39d2, 0x39cd, 0x39c7, 0x39c2, 0x39bc, - 0x39b6, 0x39b1, 0x39ab, 0x39a6, 0x39a0, 0x399a, 0x3995, 0x398f, - 0x398a, 0x3984, 0x397e, 0x3979, 0x3973, 0x396d, 0x3968, 0x3962, - 0x395d, 0x3957, 0x3951, 0x394c, 0x3946, 0x3941, 0x393b, 0x3935, - 0x3930, 0x392a, 0x3924, 0x391f, 0x3919, 0x3914, 0x390e, 0x3908, - 0x3903, 0x38fd, 0x38f7, 0x38f2, 0x38ec, 0x38e7, 0x38e1, 0x38db, - 0x38d6, 0x38d0, 0x38ca, 0x38c5, 0x38bf, 0x38ba, 0x38b4, 0x38ae, - 0x38a9, 0x38a3, 0x389d, 0x3898, 0x3892, 0x388c, 0x3887, 0x3881, - 0x387c, 0x3876, 0x3870, 0x386b, 0x3865, 0x385f, 0x385a, 0x3854, - 0x384e, 0x3849, 0x3843, 0x383d, 0x3838, 0x3832, 0x382d, 0x3827, - 0x3821, 0x381c, 0x3816, 0x3810, 0x380b, 0x3805, 0x37ff, 0x37fa, - 0x37f4, 0x37ee, 0x37e9, 0x37e3, 0x37dd, 0x37d8, 0x37d2, 0x37cc, - 0x37c7, 0x37c1, 0x37bc, 0x37b6, 0x37b0, 0x37ab, 0x37a5, 0x379f, - 0x379a, 0x3794, 0x378e, 0x3789, 0x3783, 0x377d, 0x3778, 0x3772, - 0x376c, 0x3767, 0x3761, 0x375b, 0x3756, 0x3750, 0x374a, 0x3745, - 0x373f, 0x3739, 0x3734, 0x372e, 0x3728, 0x3723, 0x371d, 0x3717, - 0x3712, 0x370c, 0x3706, 0x3701, 0x36fb, 0x36f5, 0x36f0, 0x36ea, - 0x36e4, 0x36df, 0x36d9, 0x36d3, 0x36ce, 0x36c8, 0x36c2, 0x36bc, - 0x36b7, 0x36b1, 0x36ab, 0x36a6, 0x36a0, 0x369a, 0x3695, 0x368f, - 0x3689, 0x3684, 0x367e, 0x3678, 0x3673, 0x366d, 0x3667, 0x3662, - 0x365c, 0x3656, 0x3650, 0x364b, 0x3645, 0x363f, 0x363a, 0x3634, - 0x362e, 0x3629, 0x3623, 0x361d, 0x3618, 0x3612, 0x360c, 0x3606, - 0x3601, 0x35fb, 0x35f5, 0x35f0, 0x35ea, 0x35e4, 0x35df, 0x35d9, - 0x35d3, 0x35cd, 0x35c8, 0x35c2, 0x35bc, 0x35b7, 0x35b1, 0x35ab, - 0x35a6, 0x35a0, 0x359a, 0x3594, 0x358f, 0x3589, 0x3583, 0x357e, - 0x3578, 0x3572, 0x356c, 0x3567, 0x3561, 0x355b, 0x3556, 0x3550, - 0x354a, 0x3544, 0x353f, 0x3539, 0x3533, 0x352e, 0x3528, 0x3522, - 0x351c, 0x3517, 0x3511, 0x350b, 0x3506, 0x3500, 0x34fa, 0x34f4, - 0x34ef, 0x34e9, 0x34e3, 0x34de, 0x34d8, 0x34d2, 0x34cc, 0x34c7, - 0x34c1, 0x34bb, 0x34b6, 0x34b0, 0x34aa, 0x34a4, 0x349f, 0x3499, - 0x3493, 0x348d, 0x3488, 0x3482, 0x347c, 0x3476, 0x3471, 0x346b, - 0x3465, 0x3460, 0x345a, 0x3454, 0x344e, 0x3449, 0x3443, 0x343d, - 0x3437, 0x3432, 0x342c, 0x3426, 0x3420, 0x341b, 0x3415, 0x340f, - 0x340a, 0x3404, 0x33fe, 0x33f8, 0x33f3, 0x33ed, 0x33e7, 0x33e1, - 0x33dc, 0x33d6, 0x33d0, 0x33ca, 0x33c5, 0x33bf, 0x33b9, 0x33b3, - 0x33ae, 0x33a8, 0x33a2, 0x339c, 0x3397, 0x3391, 0x338b, 0x3385, - 0x3380, 0x337a, 0x3374, 0x336e, 0x3369, 0x3363, 0x335d, 0x3357, - 0x3352, 0x334c, 0x3346, 0x3340, 0x333b, 0x3335, 0x332f, 0x3329, - 0x3324, 0x331e, 0x3318, 0x3312, 0x330c, 0x3307, 0x3301, 0x32fb, - 0x32f5, 0x32f0, 0x32ea, 0x32e4, 0x32de, 0x32d9, 0x32d3, 0x32cd, - 0x32c7, 0x32c2, 0x32bc, 0x32b6, 0x32b0, 0x32aa, 0x32a5, 0x329f, - 0x3299, 0x3293, 0x328e, 0x3288, 0x3282, 0x327c, 0x3276, 0x3271, - 0x326b, 0x3265, 0x325f, 0x325a, 0x3254, 0x324e, 0x3248, 0x3243, - 0x323d, 0x3237, 0x3231, 0x322b, 0x3226, 0x3220, 0x321a, 0x3214, - 0x320e, 0x3209, 0x3203, 0x31fd, 0x31f7, 0x31f2, 0x31ec, 0x31e6, - 0x31e0, 0x31da, 0x31d5, 0x31cf, 0x31c9, 0x31c3, 0x31bd, 0x31b8, - 0x31b2, 0x31ac, 0x31a6, 0x31a1, 0x319b, 0x3195, 0x318f, 0x3189, - 0x3184, 0x317e, 0x3178, 0x3172, 0x316c, 0x3167, 0x3161, 0x315b, - 0x3155, 0x314f, 0x314a, 0x3144, 0x313e, 0x3138, 0x3132, 0x312d, - 0x3127, 0x3121, 0x311b, 0x3115, 0x3110, 0x310a, 0x3104, 0x30fe, - 0x30f8, 0x30f3, 0x30ed, 0x30e7, 0x30e1, 0x30db, 0x30d6, 0x30d0, - 0x30ca, 0x30c4, 0x30be, 0x30b8, 0x30b3, 0x30ad, 0x30a7, 0x30a1, - 0x309b, 0x3096, 0x3090, 0x308a, 0x3084, 0x307e, 0x3079, 0x3073, - 0x306d, 0x3067, 0x3061, 0x305b, 0x3056, 0x3050, 0x304a, 0x3044, - 0x303e, 0x3039, 0x3033, 0x302d, 0x3027, 0x3021, 0x301b, 0x3016, - 0x3010, 0x300a, 0x3004, 0x2ffe, 0x2ff8, 0x2ff3, 0x2fed, 0x2fe7, - 0x2fe1, 0x2fdb, 0x2fd6, 0x2fd0, 0x2fca, 0x2fc4, 0x2fbe, 0x2fb8, - 0x2fb3, 0x2fad, 0x2fa7, 0x2fa1, 0x2f9b, 0x2f95, 0x2f90, 0x2f8a, - 0x2f84, 0x2f7e, 0x2f78, 0x2f72, 0x2f6d, 0x2f67, 0x2f61, 0x2f5b, - 0x2f55, 0x2f4f, 0x2f4a, 0x2f44, 0x2f3e, 0x2f38, 0x2f32, 0x2f2c, - 0x2f27, 0x2f21, 0x2f1b, 0x2f15, 0x2f0f, 0x2f09, 0x2f03, 0x2efe, - 0x2ef8, 0x2ef2, 0x2eec, 0x2ee6, 0x2ee0, 0x2edb, 0x2ed5, 0x2ecf, - 0x2ec9, 0x2ec3, 0x2ebd, 0x2eb7, 0x2eb2, 0x2eac, 0x2ea6, 0x2ea0, - 0x2e9a, 0x2e94, 0x2e8e, 0x2e89, 0x2e83, 0x2e7d, 0x2e77, 0x2e71, - 0x2e6b, 0x2e65, 0x2e60, 0x2e5a, 0x2e54, 0x2e4e, 0x2e48, 0x2e42, - 0x2e3c, 0x2e37, 0x2e31, 0x2e2b, 0x2e25, 0x2e1f, 0x2e19, 0x2e13, - 0x2e0e, 0x2e08, 0x2e02, 0x2dfc, 0x2df6, 0x2df0, 0x2dea, 0x2de5, - 0x2ddf, 0x2dd9, 0x2dd3, 0x2dcd, 0x2dc7, 0x2dc1, 0x2dbb, 0x2db6, - 0x2db0, 0x2daa, 0x2da4, 0x2d9e, 0x2d98, 0x2d92, 0x2d8d, 0x2d87, - 0x2d81, 0x2d7b, 0x2d75, 0x2d6f, 0x2d69, 0x2d63, 0x2d5e, 0x2d58, - 0x2d52, 0x2d4c, 0x2d46, 0x2d40, 0x2d3a, 0x2d34, 0x2d2f, 0x2d29, - 0x2d23, 0x2d1d, 0x2d17, 0x2d11, 0x2d0b, 0x2d05, 0x2cff, 0x2cfa, - 0x2cf4, 0x2cee, 0x2ce8, 0x2ce2, 0x2cdc, 0x2cd6, 0x2cd0, 0x2ccb, - 0x2cc5, 0x2cbf, 0x2cb9, 0x2cb3, 0x2cad, 0x2ca7, 0x2ca1, 0x2c9b, - 0x2c96, 0x2c90, 0x2c8a, 0x2c84, 0x2c7e, 0x2c78, 0x2c72, 0x2c6c, - 0x2c66, 0x2c61, 0x2c5b, 0x2c55, 0x2c4f, 0x2c49, 0x2c43, 0x2c3d, - 0x2c37, 0x2c31, 0x2c2b, 0x2c26, 0x2c20, 0x2c1a, 0x2c14, 0x2c0e, - 0x2c08, 0x2c02, 0x2bfc, 0x2bf6, 0x2bf0, 0x2beb, 0x2be5, 0x2bdf, - 0x2bd9, 0x2bd3, 0x2bcd, 0x2bc7, 0x2bc1, 0x2bbb, 0x2bb5, 0x2bb0, - 0x2baa, 0x2ba4, 0x2b9e, 0x2b98, 0x2b92, 0x2b8c, 0x2b86, 0x2b80, - 0x2b7a, 0x2b74, 0x2b6f, 0x2b69, 0x2b63, 0x2b5d, 0x2b57, 0x2b51, - 0x2b4b, 0x2b45, 0x2b3f, 0x2b39, 0x2b33, 0x2b2d, 0x2b28, 0x2b22, - 0x2b1c, 0x2b16, 0x2b10, 0x2b0a, 0x2b04, 0x2afe, 0x2af8, 0x2af2, - 0x2aec, 0x2ae6, 0x2ae1, 0x2adb, 0x2ad5, 0x2acf, 0x2ac9, 0x2ac3, - 0x2abd, 0x2ab7, 0x2ab1, 0x2aab, 0x2aa5, 0x2a9f, 0x2a99, 0x2a94, - 0x2a8e, 0x2a88, 0x2a82, 0x2a7c, 0x2a76, 0x2a70, 0x2a6a, 0x2a64, - 0x2a5e, 0x2a58, 0x2a52, 0x2a4c, 0x2a47, 0x2a41, 0x2a3b, 0x2a35, - 0x2a2f, 0x2a29, 0x2a23, 0x2a1d, 0x2a17, 0x2a11, 0x2a0b, 0x2a05, - 0x29ff, 0x29f9, 0x29f3, 0x29ee, 0x29e8, 0x29e2, 0x29dc, 0x29d6, - 0x29d0, 0x29ca, 0x29c4, 0x29be, 0x29b8, 0x29b2, 0x29ac, 0x29a6, - 0x29a0, 0x299a, 0x2994, 0x298e, 0x2989, 0x2983, 0x297d, 0x2977, - 0x2971, 0x296b, 0x2965, 0x295f, 0x2959, 0x2953, 0x294d, 0x2947, - 0x2941, 0x293b, 0x2935, 0x292f, 0x2929, 0x2923, 0x291d, 0x2918, - 0x2912, 0x290c, 0x2906, 0x2900, 0x28fa, 0x28f4, 0x28ee, 0x28e8, - 0x28e2, 0x28dc, 0x28d6, 0x28d0, 0x28ca, 0x28c4, 0x28be, 0x28b8, - 0x28b2, 0x28ac, 0x28a6, 0x28a0, 0x289a, 0x2895, 0x288f, 0x2889, - 0x2883, 0x287d, 0x2877, 0x2871, 0x286b, 0x2865, 0x285f, 0x2859, - 0x2853, 0x284d, 0x2847, 0x2841, 0x283b, 0x2835, 0x282f, 0x2829, - 0x2823, 0x281d, 0x2817, 0x2811, 0x280b, 0x2805, 0x27ff, 0x27f9, - 0x27f3, 0x27ee, 0x27e8, 0x27e2, 0x27dc, 0x27d6, 0x27d0, 0x27ca, - 0x27c4, 0x27be, 0x27b8, 0x27b2, 0x27ac, 0x27a6, 0x27a0, 0x279a, - 0x2794, 0x278e, 0x2788, 0x2782, 0x277c, 0x2776, 0x2770, 0x276a, - 0x2764, 0x275e, 0x2758, 0x2752, 0x274c, 0x2746, 0x2740, 0x273a, - 0x2734, 0x272e, 0x2728, 0x2722, 0x271c, 0x2716, 0x2710, 0x270a, - 0x2704, 0x26fe, 0x26f8, 0x26f2, 0x26ec, 0x26e7, 0x26e1, 0x26db, - 0x26d5, 0x26cf, 0x26c9, 0x26c3, 0x26bd, 0x26b7, 0x26b1, 0x26ab, - 0x26a5, 0x269f, 0x2699, 0x2693, 0x268d, 0x2687, 0x2681, 0x267b, - 0x2675, 0x266f, 0x2669, 0x2663, 0x265d, 0x2657, 0x2651, 0x264b, - 0x2645, 0x263f, 0x2639, 0x2633, 0x262d, 0x2627, 0x2621, 0x261b, - 0x2615, 0x260f, 0x2609, 0x2603, 0x25fd, 0x25f7, 0x25f1, 0x25eb, - 0x25e5, 0x25df, 0x25d9, 0x25d3, 0x25cd, 0x25c7, 0x25c1, 0x25bb, - 0x25b5, 0x25af, 0x25a9, 0x25a3, 0x259d, 0x2597, 0x2591, 0x258b, - 0x2585, 0x257f, 0x2579, 0x2573, 0x256d, 0x2567, 0x2561, 0x255b, - 0x2555, 0x254f, 0x2549, 0x2543, 0x253d, 0x2537, 0x2531, 0x252b, - 0x2525, 0x251f, 0x2519, 0x2513, 0x250c, 0x2506, 0x2500, 0x24fa, - 0x24f4, 0x24ee, 0x24e8, 0x24e2, 0x24dc, 0x24d6, 0x24d0, 0x24ca, - 0x24c4, 0x24be, 0x24b8, 0x24b2, 0x24ac, 0x24a6, 0x24a0, 0x249a, - 0x2494, 0x248e, 0x2488, 0x2482, 0x247c, 0x2476, 0x2470, 0x246a, - 0x2464, 0x245e, 0x2458, 0x2452, 0x244c, 0x2446, 0x2440, 0x243a, - 0x2434, 0x242e, 0x2428, 0x2422, 0x241c, 0x2416, 0x2410, 0x240a, - 0x2404, 0x23fd, 0x23f7, 0x23f1, 0x23eb, 0x23e5, 0x23df, 0x23d9, - 0x23d3, 0x23cd, 0x23c7, 0x23c1, 0x23bb, 0x23b5, 0x23af, 0x23a9, - 0x23a3, 0x239d, 0x2397, 0x2391, 0x238b, 0x2385, 0x237f, 0x2379, - 0x2373, 0x236d, 0x2367, 0x2361, 0x235b, 0x2355, 0x234e, 0x2348, - 0x2342, 0x233c, 0x2336, 0x2330, 0x232a, 0x2324, 0x231e, 0x2318, - 0x2312, 0x230c, 0x2306, 0x2300, 0x22fa, 0x22f4, 0x22ee, 0x22e8, - 0x22e2, 0x22dc, 0x22d6, 0x22d0, 0x22ca, 0x22c4, 0x22bd, 0x22b7, - 0x22b1, 0x22ab, 0x22a5, 0x229f, 0x2299, 0x2293, 0x228d, 0x2287, - 0x2281, 0x227b, 0x2275, 0x226f, 0x2269, 0x2263, 0x225d, 0x2257, - 0x2251, 0x224a, 0x2244, 0x223e, 0x2238, 0x2232, 0x222c, 0x2226, - 0x2220, 0x221a, 0x2214, 0x220e, 0x2208, 0x2202, 0x21fc, 0x21f6, - 0x21f0, 0x21ea, 0x21e4, 0x21dd, 0x21d7, 0x21d1, 0x21cb, 0x21c5, - 0x21bf, 0x21b9, 0x21b3, 0x21ad, 0x21a7, 0x21a1, 0x219b, 0x2195, - 0x218f, 0x2189, 0x2183, 0x217c, 0x2176, 0x2170, 0x216a, 0x2164, - 0x215e, 0x2158, 0x2152, 0x214c, 0x2146, 0x2140, 0x213a, 0x2134, - 0x212e, 0x2128, 0x2121, 0x211b, 0x2115, 0x210f, 0x2109, 0x2103, - 0x20fd, 0x20f7, 0x20f1, 0x20eb, 0x20e5, 0x20df, 0x20d9, 0x20d3, - 0x20cc, 0x20c6, 0x20c0, 0x20ba, 0x20b4, 0x20ae, 0x20a8, 0x20a2, - 0x209c, 0x2096, 0x2090, 0x208a, 0x2084, 0x207e, 0x2077, 0x2071, - 0x206b, 0x2065, 0x205f, 0x2059, 0x2053, 0x204d, 0x2047, 0x2041, - 0x203b, 0x2035, 0x202e, 0x2028, 0x2022, 0x201c, 0x2016, 0x2010, - 0x200a, 0x2004, 0x1ffe, 0x1ff8, 0x1ff2, 0x1fec, 0x1fe5, 0x1fdf, - 0x1fd9, 0x1fd3, 0x1fcd, 0x1fc7, 0x1fc1, 0x1fbb, 0x1fb5, 0x1faf, - 0x1fa9, 0x1fa3, 0x1f9c, 0x1f96, 0x1f90, 0x1f8a, 0x1f84, 0x1f7e, - 0x1f78, 0x1f72, 0x1f6c, 0x1f66, 0x1f60, 0x1f59, 0x1f53, 0x1f4d, - 0x1f47, 0x1f41, 0x1f3b, 0x1f35, 0x1f2f, 0x1f29, 0x1f23, 0x1f1d, - 0x1f16, 0x1f10, 0x1f0a, 0x1f04, 0x1efe, 0x1ef8, 0x1ef2, 0x1eec, - 0x1ee6, 0x1ee0, 0x1ed9, 0x1ed3, 0x1ecd, 0x1ec7, 0x1ec1, 0x1ebb, - 0x1eb5, 0x1eaf, 0x1ea9, 0x1ea3, 0x1e9c, 0x1e96, 0x1e90, 0x1e8a, - 0x1e84, 0x1e7e, 0x1e78, 0x1e72, 0x1e6c, 0x1e66, 0x1e5f, 0x1e59, - 0x1e53, 0x1e4d, 0x1e47, 0x1e41, 0x1e3b, 0x1e35, 0x1e2f, 0x1e29, - 0x1e22, 0x1e1c, 0x1e16, 0x1e10, 0x1e0a, 0x1e04, 0x1dfe, 0x1df8, - 0x1df2, 0x1deb, 0x1de5, 0x1ddf, 0x1dd9, 0x1dd3, 0x1dcd, 0x1dc7, - 0x1dc1, 0x1dbb, 0x1db4, 0x1dae, 0x1da8, 0x1da2, 0x1d9c, 0x1d96, - 0x1d90, 0x1d8a, 0x1d84, 0x1d7d, 0x1d77, 0x1d71, 0x1d6b, 0x1d65, - 0x1d5f, 0x1d59, 0x1d53, 0x1d4c, 0x1d46, 0x1d40, 0x1d3a, 0x1d34, - 0x1d2e, 0x1d28, 0x1d22, 0x1d1c, 0x1d15, 0x1d0f, 0x1d09, 0x1d03, - 0x1cfd, 0x1cf7, 0x1cf1, 0x1ceb, 0x1ce4, 0x1cde, 0x1cd8, 0x1cd2, - 0x1ccc, 0x1cc6, 0x1cc0, 0x1cba, 0x1cb3, 0x1cad, 0x1ca7, 0x1ca1, - 0x1c9b, 0x1c95, 0x1c8f, 0x1c89, 0x1c83, 0x1c7c, 0x1c76, 0x1c70, - 0x1c6a, 0x1c64, 0x1c5e, 0x1c58, 0x1c51, 0x1c4b, 0x1c45, 0x1c3f, - 0x1c39, 0x1c33, 0x1c2d, 0x1c27, 0x1c20, 0x1c1a, 0x1c14, 0x1c0e, - 0x1c08, 0x1c02, 0x1bfc, 0x1bf6, 0x1bef, 0x1be9, 0x1be3, 0x1bdd, - 0x1bd7, 0x1bd1, 0x1bcb, 0x1bc4, 0x1bbe, 0x1bb8, 0x1bb2, 0x1bac, - 0x1ba6, 0x1ba0, 0x1b9a, 0x1b93, 0x1b8d, 0x1b87, 0x1b81, 0x1b7b, - 0x1b75, 0x1b6f, 0x1b68, 0x1b62, 0x1b5c, 0x1b56, 0x1b50, 0x1b4a, - 0x1b44, 0x1b3d, 0x1b37, 0x1b31, 0x1b2b, 0x1b25, 0x1b1f, 0x1b19, - 0x1b13, 0x1b0c, 0x1b06, 0x1b00, 0x1afa, 0x1af4, 0x1aee, 0x1ae8, - 0x1ae1, 0x1adb, 0x1ad5, 0x1acf, 0x1ac9, 0x1ac3, 0x1abd, 0x1ab6, - 0x1ab0, 0x1aaa, 0x1aa4, 0x1a9e, 0x1a98, 0x1a91, 0x1a8b, 0x1a85, - 0x1a7f, 0x1a79, 0x1a73, 0x1a6d, 0x1a66, 0x1a60, 0x1a5a, 0x1a54, - 0x1a4e, 0x1a48, 0x1a42, 0x1a3b, 0x1a35, 0x1a2f, 0x1a29, 0x1a23, - 0x1a1d, 0x1a17, 0x1a10, 0x1a0a, 0x1a04, 0x19fe, 0x19f8, 0x19f2, - 0x19eb, 0x19e5, 0x19df, 0x19d9, 0x19d3, 0x19cd, 0x19c7, 0x19c0, - 0x19ba, 0x19b4, 0x19ae, 0x19a8, 0x19a2, 0x199b, 0x1995, 0x198f, - 0x1989, 0x1983, 0x197d, 0x1977, 0x1970, 0x196a, 0x1964, 0x195e, - 0x1958, 0x1952, 0x194b, 0x1945, 0x193f, 0x1939, 0x1933, 0x192d, - 0x1926, 0x1920, 0x191a, 0x1914, 0x190e, 0x1908, 0x1901, 0x18fb, - 0x18f5, 0x18ef, 0x18e9, 0x18e3, 0x18dc, 0x18d6, 0x18d0, 0x18ca, - 0x18c4, 0x18be, 0x18b8, 0x18b1, 0x18ab, 0x18a5, 0x189f, 0x1899, - 0x1893, 0x188c, 0x1886, 0x1880, 0x187a, 0x1874, 0x186e, 0x1867, - 0x1861, 0x185b, 0x1855, 0x184f, 0x1848, 0x1842, 0x183c, 0x1836, - 0x1830, 0x182a, 0x1823, 0x181d, 0x1817, 0x1811, 0x180b, 0x1805, - 0x17fe, 0x17f8, 0x17f2, 0x17ec, 0x17e6, 0x17e0, 0x17d9, 0x17d3, - 0x17cd, 0x17c7, 0x17c1, 0x17bb, 0x17b4, 0x17ae, 0x17a8, 0x17a2, - 0x179c, 0x1795, 0x178f, 0x1789, 0x1783, 0x177d, 0x1777, 0x1770, - 0x176a, 0x1764, 0x175e, 0x1758, 0x1752, 0x174b, 0x1745, 0x173f, - 0x1739, 0x1733, 0x172c, 0x1726, 0x1720, 0x171a, 0x1714, 0x170e, - 0x1707, 0x1701, 0x16fb, 0x16f5, 0x16ef, 0x16e8, 0x16e2, 0x16dc, - 0x16d6, 0x16d0, 0x16ca, 0x16c3, 0x16bd, 0x16b7, 0x16b1, 0x16ab, - 0x16a4, 0x169e, 0x1698, 0x1692, 0x168c, 0x1686, 0x167f, 0x1679, - 0x1673, 0x166d, 0x1667, 0x1660, 0x165a, 0x1654, 0x164e, 0x1648, - 0x1642, 0x163b, 0x1635, 0x162f, 0x1629, 0x1623, 0x161c, 0x1616, - 0x1610, 0x160a, 0x1604, 0x15fd, 0x15f7, 0x15f1, 0x15eb, 0x15e5, - 0x15de, 0x15d8, 0x15d2, 0x15cc, 0x15c6, 0x15c0, 0x15b9, 0x15b3, - 0x15ad, 0x15a7, 0x15a1, 0x159a, 0x1594, 0x158e, 0x1588, 0x1582, - 0x157b, 0x1575, 0x156f, 0x1569, 0x1563, 0x155c, 0x1556, 0x1550, - 0x154a, 0x1544, 0x153d, 0x1537, 0x1531, 0x152b, 0x1525, 0x151e, - 0x1518, 0x1512, 0x150c, 0x1506, 0x14ff, 0x14f9, 0x14f3, 0x14ed, - 0x14e7, 0x14e0, 0x14da, 0x14d4, 0x14ce, 0x14c8, 0x14c1, 0x14bb, - 0x14b5, 0x14af, 0x14a9, 0x14a2, 0x149c, 0x1496, 0x1490, 0x148a, - 0x1483, 0x147d, 0x1477, 0x1471, 0x146b, 0x1464, 0x145e, 0x1458, - 0x1452, 0x144c, 0x1445, 0x143f, 0x1439, 0x1433, 0x142d, 0x1426, - 0x1420, 0x141a, 0x1414, 0x140e, 0x1407, 0x1401, 0x13fb, 0x13f5, - 0x13ef, 0x13e8, 0x13e2, 0x13dc, 0x13d6, 0x13d0, 0x13c9, 0x13c3, - 0x13bd, 0x13b7, 0x13b1, 0x13aa, 0x13a4, 0x139e, 0x1398, 0x1391, - 0x138b, 0x1385, 0x137f, 0x1379, 0x1372, 0x136c, 0x1366, 0x1360, - 0x135a, 0x1353, 0x134d, 0x1347, 0x1341, 0x133b, 0x1334, 0x132e, - 0x1328, 0x1322, 0x131b, 0x1315, 0x130f, 0x1309, 0x1303, 0x12fc, - 0x12f6, 0x12f0, 0x12ea, 0x12e4, 0x12dd, 0x12d7, 0x12d1, 0x12cb, - 0x12c4, 0x12be, 0x12b8, 0x12b2, 0x12ac, 0x12a5, 0x129f, 0x1299, - 0x1293, 0x128d, 0x1286, 0x1280, 0x127a, 0x1274, 0x126d, 0x1267, - 0x1261, 0x125b, 0x1255, 0x124e, 0x1248, 0x1242, 0x123c, 0x1235, - 0x122f, 0x1229, 0x1223, 0x121d, 0x1216, 0x1210, 0x120a, 0x1204, - 0x11fd, 0x11f7, 0x11f1, 0x11eb, 0x11e5, 0x11de, 0x11d8, 0x11d2, - 0x11cc, 0x11c5, 0x11bf, 0x11b9, 0x11b3, 0x11ad, 0x11a6, 0x11a0, - 0x119a, 0x1194, 0x118d, 0x1187, 0x1181, 0x117b, 0x1175, 0x116e, - 0x1168, 0x1162, 0x115c, 0x1155, 0x114f, 0x1149, 0x1143, 0x113d, - 0x1136, 0x1130, 0x112a, 0x1124, 0x111d, 0x1117, 0x1111, 0x110b, - 0x1105, 0x10fe, 0x10f8, 0x10f2, 0x10ec, 0x10e5, 0x10df, 0x10d9, - 0x10d3, 0x10cc, 0x10c6, 0x10c0, 0x10ba, 0x10b4, 0x10ad, 0x10a7, - 0x10a1, 0x109b, 0x1094, 0x108e, 0x1088, 0x1082, 0x107b, 0x1075, - 0x106f, 0x1069, 0x1063, 0x105c, 0x1056, 0x1050, 0x104a, 0x1043, - 0x103d, 0x1037, 0x1031, 0x102a, 0x1024, 0x101e, 0x1018, 0x1012, - 0x100b, 0x1005, 0xfff, 0xff9, 0xff2, 0xfec, 0xfe6, 0xfe0, - 0xfd9, 0xfd3, 0xfcd, 0xfc7, 0xfc0, 0xfba, 0xfb4, 0xfae, - 0xfa8, 0xfa1, 0xf9b, 0xf95, 0xf8f, 0xf88, 0xf82, 0xf7c, - 0xf76, 0xf6f, 0xf69, 0xf63, 0xf5d, 0xf56, 0xf50, 0xf4a, - 0xf44, 0xf3e, 0xf37, 0xf31, 0xf2b, 0xf25, 0xf1e, 0xf18, - 0xf12, 0xf0c, 0xf05, 0xeff, 0xef9, 0xef3, 0xeec, 0xee6, - 0xee0, 0xeda, 0xed3, 0xecd, 0xec7, 0xec1, 0xeba, 0xeb4, - 0xeae, 0xea8, 0xea1, 0xe9b, 0xe95, 0xe8f, 0xe89, 0xe82, - 0xe7c, 0xe76, 0xe70, 0xe69, 0xe63, 0xe5d, 0xe57, 0xe50, - 0xe4a, 0xe44, 0xe3e, 0xe37, 0xe31, 0xe2b, 0xe25, 0xe1e, - 0xe18, 0xe12, 0xe0c, 0xe05, 0xdff, 0xdf9, 0xdf3, 0xdec, - 0xde6, 0xde0, 0xdda, 0xdd3, 0xdcd, 0xdc7, 0xdc1, 0xdba, - 0xdb4, 0xdae, 0xda8, 0xda1, 0xd9b, 0xd95, 0xd8f, 0xd88, - 0xd82, 0xd7c, 0xd76, 0xd6f, 0xd69, 0xd63, 0xd5d, 0xd56, - 0xd50, 0xd4a, 0xd44, 0xd3d, 0xd37, 0xd31, 0xd2b, 0xd24, - 0xd1e, 0xd18, 0xd12, 0xd0b, 0xd05, 0xcff, 0xcf9, 0xcf2, - 0xcec, 0xce6, 0xce0, 0xcd9, 0xcd3, 0xccd, 0xcc7, 0xcc0, - 0xcba, 0xcb4, 0xcae, 0xca7, 0xca1, 0xc9b, 0xc95, 0xc8e, - 0xc88, 0xc82, 0xc7c, 0xc75, 0xc6f, 0xc69, 0xc63, 0xc5c, - 0xc56, 0xc50, 0xc4a, 0xc43, 0xc3d, 0xc37, 0xc31, 0xc2a, - 0xc24, 0xc1e, 0xc18, 0xc11, 0xc0b, 0xc05, 0xbff, 0xbf8, - 0xbf2, 0xbec, 0xbe6, 0xbdf, 0xbd9, 0xbd3, 0xbcd, 0xbc6, - 0xbc0, 0xbba, 0xbb4, 0xbad, 0xba7, 0xba1, 0xb9b, 0xb94, - 0xb8e, 0xb88, 0xb81, 0xb7b, 0xb75, 0xb6f, 0xb68, 0xb62, - 0xb5c, 0xb56, 0xb4f, 0xb49, 0xb43, 0xb3d, 0xb36, 0xb30, - 0xb2a, 0xb24, 0xb1d, 0xb17, 0xb11, 0xb0b, 0xb04, 0xafe, - 0xaf8, 0xaf2, 0xaeb, 0xae5, 0xadf, 0xad8, 0xad2, 0xacc, - 0xac6, 0xabf, 0xab9, 0xab3, 0xaad, 0xaa6, 0xaa0, 0xa9a, - 0xa94, 0xa8d, 0xa87, 0xa81, 0xa7b, 0xa74, 0xa6e, 0xa68, - 0xa62, 0xa5b, 0xa55, 0xa4f, 0xa48, 0xa42, 0xa3c, 0xa36, - 0xa2f, 0xa29, 0xa23, 0xa1d, 0xa16, 0xa10, 0xa0a, 0xa04, - 0x9fd, 0x9f7, 0x9f1, 0x9eb, 0x9e4, 0x9de, 0x9d8, 0x9d1, - 0x9cb, 0x9c5, 0x9bf, 0x9b8, 0x9b2, 0x9ac, 0x9a6, 0x99f, - 0x999, 0x993, 0x98d, 0x986, 0x980, 0x97a, 0x973, 0x96d, - 0x967, 0x961, 0x95a, 0x954, 0x94e, 0x948, 0x941, 0x93b, - 0x935, 0x92f, 0x928, 0x922, 0x91c, 0x915, 0x90f, 0x909, - 0x903, 0x8fc, 0x8f6, 0x8f0, 0x8ea, 0x8e3, 0x8dd, 0x8d7, - 0x8d1, 0x8ca, 0x8c4, 0x8be, 0x8b7, 0x8b1, 0x8ab, 0x8a5, - 0x89e, 0x898, 0x892, 0x88c, 0x885, 0x87f, 0x879, 0x872, - 0x86c, 0x866, 0x860, 0x859, 0x853, 0x84d, 0x847, 0x840, - 0x83a, 0x834, 0x82e, 0x827, 0x821, 0x81b, 0x814, 0x80e, - 0x808, 0x802, 0x7fb, 0x7f5, 0x7ef, 0x7e9, 0x7e2, 0x7dc, - 0x7d6, 0x7cf, 0x7c9, 0x7c3, 0x7bd, 0x7b6, 0x7b0, 0x7aa, - 0x7a4, 0x79d, 0x797, 0x791, 0x78a, 0x784, 0x77e, 0x778, - 0x771, 0x76b, 0x765, 0x75f, 0x758, 0x752, 0x74c, 0x745, - 0x73f, 0x739, 0x733, 0x72c, 0x726, 0x720, 0x71a, 0x713, - 0x70d, 0x707, 0x700, 0x6fa, 0x6f4, 0x6ee, 0x6e7, 0x6e1, - 0x6db, 0x6d5, 0x6ce, 0x6c8, 0x6c2, 0x6bb, 0x6b5, 0x6af, - 0x6a9, 0x6a2, 0x69c, 0x696, 0x690, 0x689, 0x683, 0x67d, - 0x676, 0x670, 0x66a, 0x664, 0x65d, 0x657, 0x651, 0x64a, - 0x644, 0x63e, 0x638, 0x631, 0x62b, 0x625, 0x61f, 0x618, - 0x612, 0x60c, 0x605, 0x5ff, 0x5f9, 0x5f3, 0x5ec, 0x5e6, - 0x5e0, 0x5da, 0x5d3, 0x5cd, 0x5c7, 0x5c0, 0x5ba, 0x5b4, - 0x5ae, 0x5a7, 0x5a1, 0x59b, 0x594, 0x58e, 0x588, 0x582, - 0x57b, 0x575, 0x56f, 0x569, 0x562, 0x55c, 0x556, 0x54f, - 0x549, 0x543, 0x53d, 0x536, 0x530, 0x52a, 0x523, 0x51d, - 0x517, 0x511, 0x50a, 0x504, 0x4fe, 0x4f8, 0x4f1, 0x4eb, - 0x4e5, 0x4de, 0x4d8, 0x4d2, 0x4cc, 0x4c5, 0x4bf, 0x4b9, - 0x4b2, 0x4ac, 0x4a6, 0x4a0, 0x499, 0x493, 0x48d, 0x487, - 0x480, 0x47a, 0x474, 0x46d, 0x467, 0x461, 0x45b, 0x454, - 0x44e, 0x448, 0x441, 0x43b, 0x435, 0x42f, 0x428, 0x422, - 0x41c, 0x415, 0x40f, 0x409, 0x403, 0x3fc, 0x3f6, 0x3f0, - 0x3ea, 0x3e3, 0x3dd, 0x3d7, 0x3d0, 0x3ca, 0x3c4, 0x3be, - 0x3b7, 0x3b1, 0x3ab, 0x3a4, 0x39e, 0x398, 0x392, 0x38b, - 0x385, 0x37f, 0x378, 0x372, 0x36c, 0x366, 0x35f, 0x359, - 0x353, 0x34c, 0x346, 0x340, 0x33a, 0x333, 0x32d, 0x327, - 0x321, 0x31a, 0x314, 0x30e, 0x307, 0x301, 0x2fb, 0x2f5, - 0x2ee, 0x2e8, 0x2e2, 0x2db, 0x2d5, 0x2cf, 0x2c9, 0x2c2, - 0x2bc, 0x2b6, 0x2af, 0x2a9, 0x2a3, 0x29d, 0x296, 0x290, - 0x28a, 0x283, 0x27d, 0x277, 0x271, 0x26a, 0x264, 0x25e, - 0x258, 0x251, 0x24b, 0x245, 0x23e, 0x238, 0x232, 0x22c, - 0x225, 0x21f, 0x219, 0x212, 0x20c, 0x206, 0x200, 0x1f9, - 0x1f3, 0x1ed, 0x1e6, 0x1e0, 0x1da, 0x1d4, 0x1cd, 0x1c7, - 0x1c1, 0x1ba, 0x1b4, 0x1ae, 0x1a8, 0x1a1, 0x19b, 0x195, - 0x18e, 0x188, 0x182, 0x17c, 0x175, 0x16f, 0x169, 0x162, - 0x15c, 0x156, 0x150, 0x149, 0x143, 0x13d, 0x137, 0x130, - 0x12a, 0x124, 0x11d, 0x117, 0x111, 0x10b, 0x104, 0xfe, - 0xf8, 0xf1, 0xeb, 0xe5, 0xdf, 0xd8, 0xd2, 0xcc, - 0xc5, 0xbf, 0xb9, 0xb3, 0xac, 0xa6, 0xa0, 0x99, - 0x93, 0x8d, 0x87, 0x80, 0x7a, 0x74, 0x6d, 0x67, - 0x61, 0x5b, 0x54, 0x4e, 0x48, 0x41, 0x3b, 0x35, - 0x2f, 0x28, 0x22, 0x1c, 0x15, 0xf, 0x9, 0x3, -}; - -/** - * @brief Initialization function for the Q15 DCT4/IDCT4. - * @param[in,out] *S points to an instance of Q15 DCT4/IDCT4 structure. - * @param[in] *S_RFFT points to an instance of Q15 RFFT/RIFFT structure. - * @param[in] *S_CFFT points to an instance of Q15 CFFT/CIFFT structure. - * @param[in] N length of the DCT4. - * @param[in] Nby2 half of the length of the DCT4. - * @param[in] normalize normalizing factor. - * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length. - * \par Normalizing factor: - * The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>. - * Normalizing factors in 1.15 format are mentioned in the table below for different DCT sizes: - * \image html dct4NormalizingQ15Table.gif - */ - -arm_status arm_dct4_init_q15( - arm_dct4_instance_q15 * S, - arm_rfft_instance_q15 * S_RFFT, - arm_cfft_radix4_instance_q15 * S_CFFT, - uint16_t N, - uint16_t Nby2, - q15_t normalize) -{ - /* Initialise the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - - /* Initializing the pointer array with the weight table base addresses of different lengths */ - q15_t *twiddlePtr[4] = { (q15_t *) WeightsQ15_128, (q15_t *) WeightsQ15_512, - (q15_t *) WeightsQ15_2048, (q15_t *) WeightsQ15_8192 - }; - - /* Initializing the pointer array with the cos factor table base addresses of different lengths */ - q15_t *pCosFactor[4] = - { (q15_t *) cos_factorsQ15_128, (q15_t *) cos_factorsQ15_512, - (q15_t *) cos_factorsQ15_2048, (q15_t *) cos_factorsQ15_8192 - }; - - /* Initialize the DCT4 length */ - S->N = N; - - /* Initialize the half of DCT4 length */ - S->Nby2 = Nby2; - - /* Initialize the DCT4 Normalizing factor */ - S->normalize = normalize; - - /* Initialize Real FFT Instance */ - S->pRfft = S_RFFT; - - /* Initialize Complex FFT Instance */ - S->pCfft = S_CFFT; - - switch (N) - { - /* Initialize the table modifier values */ - case 8192u: - S->pTwiddle = twiddlePtr[3]; - S->pCosFactor = pCosFactor[3]; - break; - case 2048u: - S->pTwiddle = twiddlePtr[2]; - S->pCosFactor = pCosFactor[2]; - break; - case 512u: - S->pTwiddle = twiddlePtr[1]; - S->pCosFactor = pCosFactor[1]; - break; - case 128u: - S->pTwiddle = twiddlePtr[0]; - S->pCosFactor = pCosFactor[0]; - break; - default: - status = ARM_MATH_ARGUMENT_ERROR; - } - - /* Initialize the RFFT/RIFFT */ - arm_rfft_init_q15(S->pRfft, S->pCfft, S->N, 0u, 1u); - - /* return the status of DCT4 Init function */ - return (status); -} - -/** - * @} end of DCT4_IDCT4 group - */
--- a/cmsis_dsp/TransformFunctions/arm_dct4_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,8364 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_dct4_init_q31.c -* -* Description: Initialization function of DCT-4 & IDCT4 Q31 -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - - -#include "arm_math.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup DCT4_IDCT4 - * @{ - */ - -/* -* @brief Weights Table -*/ - -/** -* \par -* Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre> -* \par -* C command to generate the table -* <pre> -* for(i = 0; i< N; i++) -* { -* weights[2*i]= cos(i*c); -* weights[(2*i)+1]= -sin(i * c); -* } </pre> -* \par -* where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code> -* \par -* Convert the output to q31 format by multiplying with 2^31 and saturated if required. -* \par -* In the tables below the real and imaginary values are placed alternatively, hence the -* array length is <code>2*N</code>. -*/ - -static const q31_t WeightsQ31_128[256] = { - 0x7fffffff, 0x0, 0x7ffd885a, 0xfe6de2e0, 0x7ff62182, 0xfcdbd541, 0x7fe9cbc0, - 0xfb49e6a3, - 0x7fd8878e, 0xf9b82684, 0x7fc25596, 0xf826a462, 0x7fa736b4, 0xf6956fb7, - 0x7f872bf3, 0xf50497fb, - 0x7f62368f, 0xf3742ca2, 0x7f3857f6, 0xf1e43d1c, 0x7f0991c4, 0xf054d8d5, - 0x7ed5e5c6, 0xeec60f31, - 0x7e9d55fc, 0xed37ef91, 0x7e5fe493, 0xebaa894f, 0x7e1d93ea, 0xea1debbb, - 0x7dd6668f, 0xe8922622, - 0x7d8a5f40, 0xe70747c4, 0x7d3980ec, 0xe57d5fda, 0x7ce3ceb2, 0xe3f47d96, - 0x7c894bde, 0xe26cb01b, - 0x7c29fbee, 0xe0e60685, 0x7bc5e290, 0xdf608fe4, 0x7b5d039e, 0xdddc5b3b, - 0x7aef6323, 0xdc597781, - 0x7a7d055b, 0xdad7f3a2, 0x7a05eead, 0xd957de7a, 0x798a23b1, 0xd7d946d8, - 0x7909a92d, 0xd65c3b7b, - 0x78848414, 0xd4e0cb15, 0x77fab989, 0xd3670446, 0x776c4edb, 0xd1eef59e, - 0x76d94989, 0xd078ad9e, - 0x7641af3d, 0xcf043ab3, 0x75a585cf, 0xcd91ab39, 0x7504d345, 0xcc210d79, - 0x745f9dd1, 0xcab26fa9, - 0x73b5ebd1, 0xc945dfec, 0x7307c3d0, 0xc7db6c50, 0x72552c85, 0xc67322ce, - 0x719e2cd2, 0xc50d1149, - 0x70e2cbc6, 0xc3a94590, 0x7023109a, 0xc247cd5a, 0x6f5f02b2, 0xc0e8b648, - 0x6e96a99d, 0xbf8c0de3, - 0x6dca0d14, 0xbe31e19b, 0x6cf934fc, 0xbcda3ecb, 0x6c242960, 0xbb8532b0, - 0x6b4af279, 0xba32ca71, - 0x6a6d98a4, 0xb8e31319, 0x698c246c, 0xb796199b, 0x68a69e81, 0xb64beacd, - 0x67bd0fbd, 0xb5049368, - 0x66cf8120, 0xb3c0200c, 0x65ddfbd3, 0xb27e9d3c, 0x64e88926, 0xb140175b, - 0x63ef3290, 0xb0049ab3, - 0x62f201ac, 0xaecc336c, 0x61f1003f, 0xad96ed92, 0x60ec3830, 0xac64d510, - 0x5fe3b38d, 0xab35f5b5, - 0x5ed77c8a, 0xaa0a5b2e, 0x5dc79d7c, 0xa8e21106, 0x5cb420e0, 0xa7bd22ac, - 0x5b9d1154, 0xa69b9b68, - 0x5a82799a, 0xa57d8666, 0x59646498, 0xa462eeac, 0x5842dd54, 0xa34bdf20, - 0x571deefa, 0xa2386284, - 0x55f5a4d2, 0xa1288376, 0x54ca0a4b, 0xa01c4c73, 0x539b2af0, 0x9f13c7d0, - 0x5269126e, 0x9e0effc1, - 0x5133cc94, 0x9d0dfe54, 0x4ffb654d, 0x9c10cd70, 0x4ebfe8a5, 0x9b1776da, - 0x4d8162c4, 0x9a22042d, - 0x4c3fdff4, 0x99307ee0, 0x4afb6c98, 0x9842f043, 0x49b41533, 0x9759617f, - 0x4869e665, 0x9673db94, - 0x471cece7, 0x9592675c, 0x45cd358f, 0x94b50d87, 0x447acd50, 0x93dbd6a0, - 0x4325c135, 0x9306cb04, - 0x41ce1e65, 0x9235f2ec, 0x4073f21d, 0x91695663, 0x3f1749b8, 0x90a0fd4e, - 0x3db832a6, 0x8fdcef66, - 0x3c56ba70, 0x8f1d343a, 0x3af2eeb7, 0x8e61d32e, 0x398cdd32, 0x8daad37b, - 0x382493b0, 0x8cf83c30, - 0x36ba2014, 0x8c4a142f, 0x354d9057, 0x8ba0622f, 0x33def287, 0x8afb2cbb, - 0x326e54c7, 0x8a5a7a31, - 0x30fbc54d, 0x89be50c3, 0x2f875262, 0x8926b677, 0x2e110a62, 0x8893b125, - 0x2c98fbba, 0x88054677, - 0x2b1f34eb, 0x877b7bec, 0x29a3c485, 0x86f656d3, 0x2826b928, 0x8675dc4f, - 0x26a82186, 0x85fa1153, - 0x25280c5e, 0x8582faa5, 0x23a6887f, 0x85109cdd, 0x2223a4c5, 0x84a2fc62, - 0x209f701c, 0x843a1d70, - 0x1f19f97b, 0x83d60412, 0x1d934fe5, 0x8376b422, 0x1c0b826a, 0x831c314e, - 0x1a82a026, 0x82c67f14, - 0x18f8b83c, 0x8275a0c0, 0x176dd9de, 0x82299971, 0x15e21445, 0x81e26c16, - 0x145576b1, 0x81a01b6d, - 0x12c8106f, 0x8162aa04, 0x1139f0cf, 0x812a1a3a, 0xfab272b, 0x80f66e3c, - 0xe1bc2e4, 0x80c7a80a, - 0xc8bd35e, 0x809dc971, 0xafb6805, 0x8078d40d, 0x96a9049, 0x8058c94c, - 0x7d95b9e, 0x803daa6a, - 0x647d97c, 0x80277872, 0x4b6195d, 0x80163440, 0x3242abf, 0x8009de7e, - 0x1921d20, 0x800277a6, -}; - -static const q31_t WeightsQ31_512[1024] = { - 0x7fffffff, 0x0, 0x7fffd886, 0xff9b781d, 0x7fff6216, 0xff36f078, 0x7ffe9cb2, - 0xfed2694f, - 0x7ffd885a, 0xfe6de2e0, 0x7ffc250f, 0xfe095d69, 0x7ffa72d1, 0xfda4d929, - 0x7ff871a2, 0xfd40565c, - 0x7ff62182, 0xfcdbd541, 0x7ff38274, 0xfc775616, 0x7ff09478, 0xfc12d91a, - 0x7fed5791, 0xfbae5e89, - 0x7fe9cbc0, 0xfb49e6a3, 0x7fe5f108, 0xfae571a4, 0x7fe1c76b, 0xfa80ffcb, - 0x7fdd4eec, 0xfa1c9157, - 0x7fd8878e, 0xf9b82684, 0x7fd37153, 0xf953bf91, 0x7fce0c3e, 0xf8ef5cbb, - 0x7fc85854, 0xf88afe42, - 0x7fc25596, 0xf826a462, 0x7fbc040a, 0xf7c24f59, 0x7fb563b3, 0xf75dff66, - 0x7fae7495, 0xf6f9b4c6, - 0x7fa736b4, 0xf6956fb7, 0x7f9faa15, 0xf6313077, 0x7f97cebd, 0xf5ccf743, - 0x7f8fa4b0, 0xf568c45b, - 0x7f872bf3, 0xf50497fb, 0x7f7e648c, 0xf4a07261, 0x7f754e80, 0xf43c53cb, - 0x7f6be9d4, 0xf3d83c77, - 0x7f62368f, 0xf3742ca2, 0x7f5834b7, 0xf310248a, 0x7f4de451, 0xf2ac246e, - 0x7f434563, 0xf2482c8a, - 0x7f3857f6, 0xf1e43d1c, 0x7f2d1c0e, 0xf1805662, 0x7f2191b4, 0xf11c789a, - 0x7f15b8ee, 0xf0b8a401, - 0x7f0991c4, 0xf054d8d5, 0x7efd1c3c, 0xeff11753, 0x7ef05860, 0xef8d5fb8, - 0x7ee34636, 0xef29b243, - 0x7ed5e5c6, 0xeec60f31, 0x7ec8371a, 0xee6276bf, 0x7eba3a39, 0xedfee92b, - 0x7eabef2c, 0xed9b66b2, - 0x7e9d55fc, 0xed37ef91, 0x7e8e6eb2, 0xecd48407, 0x7e7f3957, 0xec71244f, - 0x7e6fb5f4, 0xec0dd0a8, - 0x7e5fe493, 0xebaa894f, 0x7e4fc53e, 0xeb474e81, 0x7e3f57ff, 0xeae4207a, - 0x7e2e9cdf, 0xea80ff7a, - 0x7e1d93ea, 0xea1debbb, 0x7e0c3d29, 0xe9bae57d, 0x7dfa98a8, 0xe957ecfb, - 0x7de8a670, 0xe8f50273, - 0x7dd6668f, 0xe8922622, 0x7dc3d90d, 0xe82f5844, 0x7db0fdf8, 0xe7cc9917, - 0x7d9dd55a, 0xe769e8d8, - 0x7d8a5f40, 0xe70747c4, 0x7d769bb5, 0xe6a4b616, 0x7d628ac6, 0xe642340d, - 0x7d4e2c7f, 0xe5dfc1e5, - 0x7d3980ec, 0xe57d5fda, 0x7d24881b, 0xe51b0e2a, 0x7d0f4218, 0xe4b8cd11, - 0x7cf9aef0, 0xe4569ccb, - 0x7ce3ceb2, 0xe3f47d96, 0x7ccda169, 0xe3926fad, 0x7cb72724, 0xe330734d, - 0x7ca05ff1, 0xe2ce88b3, - 0x7c894bde, 0xe26cb01b, 0x7c71eaf9, 0xe20ae9c1, 0x7c5a3d50, 0xe1a935e2, - 0x7c4242f2, 0xe14794ba, - 0x7c29fbee, 0xe0e60685, 0x7c116853, 0xe0848b7f, 0x7bf88830, 0xe02323e5, - 0x7bdf5b94, 0xdfc1cff3, - 0x7bc5e290, 0xdf608fe4, 0x7bac1d31, 0xdeff63f4, 0x7b920b89, 0xde9e4c60, - 0x7b77ada8, 0xde3d4964, - 0x7b5d039e, 0xdddc5b3b, 0x7b420d7a, 0xdd7b8220, 0x7b26cb4f, 0xdd1abe51, - 0x7b0b3d2c, 0xdcba1008, - 0x7aef6323, 0xdc597781, 0x7ad33d45, 0xdbf8f4f8, 0x7ab6cba4, 0xdb9888a8, - 0x7a9a0e50, 0xdb3832cd, - 0x7a7d055b, 0xdad7f3a2, 0x7a5fb0d8, 0xda77cb63, 0x7a4210d8, 0xda17ba4a, - 0x7a24256f, 0xd9b7c094, - 0x7a05eead, 0xd957de7a, 0x79e76ca7, 0xd8f81439, 0x79c89f6e, 0xd898620c, - 0x79a98715, 0xd838c82d, - 0x798a23b1, 0xd7d946d8, 0x796a7554, 0xd779de47, 0x794a7c12, 0xd71a8eb5, - 0x792a37fe, 0xd6bb585e, - 0x7909a92d, 0xd65c3b7b, 0x78e8cfb2, 0xd5fd3848, 0x78c7aba2, 0xd59e4eff, - 0x78a63d11, 0xd53f7fda, - 0x78848414, 0xd4e0cb15, 0x786280bf, 0xd48230e9, 0x78403329, 0xd423b191, - 0x781d9b65, 0xd3c54d47, - 0x77fab989, 0xd3670446, 0x77d78daa, 0xd308d6c7, 0x77b417df, 0xd2aac504, - 0x7790583e, 0xd24ccf39, - 0x776c4edb, 0xd1eef59e, 0x7747fbce, 0xd191386e, 0x77235f2d, 0xd13397e2, - 0x76fe790e, 0xd0d61434, - 0x76d94989, 0xd078ad9e, 0x76b3d0b4, 0xd01b6459, 0x768e0ea6, 0xcfbe389f, - 0x76680376, 0xcf612aaa, - 0x7641af3d, 0xcf043ab3, 0x761b1211, 0xcea768f2, 0x75f42c0b, 0xce4ab5a2, - 0x75ccfd42, 0xcdee20fc, - 0x75a585cf, 0xcd91ab39, 0x757dc5ca, 0xcd355491, 0x7555bd4c, 0xccd91d3d, - 0x752d6c6c, 0xcc7d0578, - 0x7504d345, 0xcc210d79, 0x74dbf1ef, 0xcbc53579, 0x74b2c884, 0xcb697db0, - 0x7489571c, 0xcb0de658, - 0x745f9dd1, 0xcab26fa9, 0x74359cbd, 0xca5719db, 0x740b53fb, 0xc9fbe527, - 0x73e0c3a3, 0xc9a0d1c5, - 0x73b5ebd1, 0xc945dfec, 0x738acc9e, 0xc8eb0fd6, 0x735f6626, 0xc89061ba, - 0x7333b883, 0xc835d5d0, - 0x7307c3d0, 0xc7db6c50, 0x72db8828, 0xc7812572, 0x72af05a7, 0xc727016d, - 0x72823c67, 0xc6cd0079, - 0x72552c85, 0xc67322ce, 0x7227d61c, 0xc61968a2, 0x71fa3949, 0xc5bfd22e, - 0x71cc5626, 0xc5665fa9, - 0x719e2cd2, 0xc50d1149, 0x716fbd68, 0xc4b3e746, 0x71410805, 0xc45ae1d7, - 0x71120cc5, 0xc4020133, - 0x70e2cbc6, 0xc3a94590, 0x70b34525, 0xc350af26, 0x708378ff, 0xc2f83e2a, - 0x70536771, 0xc29ff2d4, - 0x7023109a, 0xc247cd5a, 0x6ff27497, 0xc1efcdf3, 0x6fc19385, 0xc197f4d4, - 0x6f906d84, 0xc1404233, - 0x6f5f02b2, 0xc0e8b648, 0x6f2d532c, 0xc0915148, 0x6efb5f12, 0xc03a1368, - 0x6ec92683, 0xbfe2fcdf, - 0x6e96a99d, 0xbf8c0de3, 0x6e63e87f, 0xbf3546a8, 0x6e30e34a, 0xbedea765, - 0x6dfd9a1c, 0xbe88304f, - 0x6dca0d14, 0xbe31e19b, 0x6d963c54, 0xbddbbb7f, 0x6d6227fa, 0xbd85be30, - 0x6d2dd027, 0xbd2fe9e2, - 0x6cf934fc, 0xbcda3ecb, 0x6cc45698, 0xbc84bd1f, 0x6c8f351c, 0xbc2f6513, - 0x6c59d0a9, 0xbbda36dd, - 0x6c242960, 0xbb8532b0, 0x6bee3f62, 0xbb3058c0, 0x6bb812d1, 0xbadba943, - 0x6b81a3cd, 0xba87246d, - 0x6b4af279, 0xba32ca71, 0x6b13fef5, 0xb9de9b83, 0x6adcc964, 0xb98a97d8, - 0x6aa551e9, 0xb936bfa4, - 0x6a6d98a4, 0xb8e31319, 0x6a359db9, 0xb88f926d, 0x69fd614a, 0xb83c3dd1, - 0x69c4e37a, 0xb7e9157a, - 0x698c246c, 0xb796199b, 0x69532442, 0xb7434a67, 0x6919e320, 0xb6f0a812, - 0x68e06129, 0xb69e32cd, - 0x68a69e81, 0xb64beacd, 0x686c9b4b, 0xb5f9d043, 0x683257ab, 0xb5a7e362, - 0x67f7d3c5, 0xb556245e, - 0x67bd0fbd, 0xb5049368, 0x67820bb7, 0xb4b330b3, 0x6746c7d8, 0xb461fc70, - 0x670b4444, 0xb410f6d3, - 0x66cf8120, 0xb3c0200c, 0x66937e91, 0xb36f784f, 0x66573cbb, 0xb31effcc, - 0x661abbc5, 0xb2ceb6b5, - 0x65ddfbd3, 0xb27e9d3c, 0x65a0fd0b, 0xb22eb392, 0x6563bf92, 0xb1def9e9, - 0x6526438f, 0xb18f7071, - 0x64e88926, 0xb140175b, 0x64aa907f, 0xb0f0eeda, 0x646c59bf, 0xb0a1f71d, - 0x642de50d, 0xb0533055, - 0x63ef3290, 0xb0049ab3, 0x63b0426d, 0xafb63667, 0x637114cc, 0xaf6803a2, - 0x6331a9d4, 0xaf1a0293, - 0x62f201ac, 0xaecc336c, 0x62b21c7b, 0xae7e965b, 0x6271fa69, 0xae312b92, - 0x62319b9d, 0xade3f33e, - 0x61f1003f, 0xad96ed92, 0x61b02876, 0xad4a1aba, 0x616f146c, 0xacfd7ae8, - 0x612dc447, 0xacb10e4b, - 0x60ec3830, 0xac64d510, 0x60aa7050, 0xac18cf69, 0x60686ccf, 0xabccfd83, - 0x60262dd6, 0xab815f8d, - 0x5fe3b38d, 0xab35f5b5, 0x5fa0fe1f, 0xaaeac02c, 0x5f5e0db3, 0xaa9fbf1e, - 0x5f1ae274, 0xaa54f2ba, - 0x5ed77c8a, 0xaa0a5b2e, 0x5e93dc1f, 0xa9bff8a8, 0x5e50015d, 0xa975cb57, - 0x5e0bec6e, 0xa92bd367, - 0x5dc79d7c, 0xa8e21106, 0x5d8314b1, 0xa8988463, 0x5d3e5237, 0xa84f2daa, - 0x5cf95638, 0xa8060d08, - 0x5cb420e0, 0xa7bd22ac, 0x5c6eb258, 0xa7746ec0, 0x5c290acc, 0xa72bf174, - 0x5be32a67, 0xa6e3aaf2, - 0x5b9d1154, 0xa69b9b68, 0x5b56bfbd, 0xa653c303, 0x5b1035cf, 0xa60c21ee, - 0x5ac973b5, 0xa5c4b855, - 0x5a82799a, 0xa57d8666, 0x5a3b47ab, 0xa5368c4b, 0x59f3de12, 0xa4efca31, - 0x59ac3cfd, 0xa4a94043, - 0x59646498, 0xa462eeac, 0x591c550e, 0xa41cd599, 0x58d40e8c, 0xa3d6f534, - 0x588b9140, 0xa3914da8, - 0x5842dd54, 0xa34bdf20, 0x57f9f2f8, 0xa306a9c8, 0x57b0d256, 0xa2c1adc9, - 0x57677b9d, 0xa27ceb4f, - 0x571deefa, 0xa2386284, 0x56d42c99, 0xa1f41392, 0x568a34a9, 0xa1affea3, - 0x56400758, 0xa16c23e1, - 0x55f5a4d2, 0xa1288376, 0x55ab0d46, 0xa0e51d8c, 0x556040e2, 0xa0a1f24d, - 0x55153fd4, 0xa05f01e1, - 0x54ca0a4b, 0xa01c4c73, 0x547ea073, 0x9fd9d22a, 0x5433027d, 0x9f979331, - 0x53e73097, 0x9f558fb0, - 0x539b2af0, 0x9f13c7d0, 0x534ef1b5, 0x9ed23bb9, 0x53028518, 0x9e90eb94, - 0x52b5e546, 0x9e4fd78a, - 0x5269126e, 0x9e0effc1, 0x521c0cc2, 0x9dce6463, 0x51ced46e, 0x9d8e0597, - 0x518169a5, 0x9d4de385, - 0x5133cc94, 0x9d0dfe54, 0x50e5fd6d, 0x9cce562c, 0x5097fc5e, 0x9c8eeb34, - 0x5049c999, 0x9c4fbd93, - 0x4ffb654d, 0x9c10cd70, 0x4faccfab, 0x9bd21af3, 0x4f5e08e3, 0x9b93a641, - 0x4f0f1126, 0x9b556f81, - 0x4ebfe8a5, 0x9b1776da, 0x4e708f8f, 0x9ad9bc71, 0x4e210617, 0x9a9c406e, - 0x4dd14c6e, 0x9a5f02f5, - 0x4d8162c4, 0x9a22042d, 0x4d31494b, 0x99e5443b, 0x4ce10034, 0x99a8c345, - 0x4c9087b1, 0x996c816f, - 0x4c3fdff4, 0x99307ee0, 0x4bef092d, 0x98f4bbbc, 0x4b9e0390, 0x98b93828, - 0x4b4ccf4d, 0x987df449, - 0x4afb6c98, 0x9842f043, 0x4aa9dba2, 0x98082c3b, 0x4a581c9e, 0x97cda855, - 0x4a062fbd, 0x979364b5, - 0x49b41533, 0x9759617f, 0x4961cd33, 0x971f9ed7, 0x490f57ee, 0x96e61ce0, - 0x48bcb599, 0x96acdbbe, - 0x4869e665, 0x9673db94, 0x4816ea86, 0x963b1c86, 0x47c3c22f, 0x96029eb6, - 0x47706d93, 0x95ca6247, - 0x471cece7, 0x9592675c, 0x46c9405c, 0x955aae17, 0x46756828, 0x9523369c, - 0x4621647d, 0x94ec010b, - 0x45cd358f, 0x94b50d87, 0x4578db93, 0x947e5c33, 0x452456bd, 0x9447ed2f, - 0x44cfa740, 0x9411c09e, - 0x447acd50, 0x93dbd6a0, 0x4425c923, 0x93a62f57, 0x43d09aed, 0x9370cae4, - 0x437b42e1, 0x933ba968, - 0x4325c135, 0x9306cb04, 0x42d0161e, 0x92d22fd9, 0x427a41d0, 0x929dd806, - 0x42244481, 0x9269c3ac, - 0x41ce1e65, 0x9235f2ec, 0x4177cfb1, 0x920265e4, 0x4121589b, 0x91cf1cb6, - 0x40cab958, 0x919c1781, - 0x4073f21d, 0x91695663, 0x401d0321, 0x9136d97d, 0x3fc5ec98, 0x9104a0ee, - 0x3f6eaeb8, 0x90d2acd4, - 0x3f1749b8, 0x90a0fd4e, 0x3ebfbdcd, 0x906f927c, 0x3e680b2c, 0x903e6c7b, - 0x3e10320d, 0x900d8b69, - 0x3db832a6, 0x8fdcef66, 0x3d600d2c, 0x8fac988f, 0x3d07c1d6, 0x8f7c8701, - 0x3caf50da, 0x8f4cbadb, - 0x3c56ba70, 0x8f1d343a, 0x3bfdfecd, 0x8eedf33b, 0x3ba51e29, 0x8ebef7fb, - 0x3b4c18ba, 0x8e904298, - 0x3af2eeb7, 0x8e61d32e, 0x3a99a057, 0x8e33a9da, 0x3a402dd2, 0x8e05c6b7, - 0x39e6975e, 0x8dd829e4, - 0x398cdd32, 0x8daad37b, 0x3932ff87, 0x8d7dc399, 0x38d8fe93, 0x8d50fa59, - 0x387eda8e, 0x8d2477d8, - 0x382493b0, 0x8cf83c30, 0x37ca2a30, 0x8ccc477d, 0x376f9e46, 0x8ca099da, - 0x3714f02a, 0x8c753362, - 0x36ba2014, 0x8c4a142f, 0x365f2e3b, 0x8c1f3c5d, 0x36041ad9, 0x8bf4ac05, - 0x35a8e625, 0x8bca6343, - 0x354d9057, 0x8ba0622f, 0x34f219a8, 0x8b76a8e4, 0x34968250, 0x8b4d377c, - 0x343aca87, 0x8b240e11, - 0x33def287, 0x8afb2cbb, 0x3382fa88, 0x8ad29394, 0x3326e2c3, 0x8aaa42b4, - 0x32caab6f, 0x8a823a36, - 0x326e54c7, 0x8a5a7a31, 0x3211df04, 0x8a3302be, 0x31b54a5e, 0x8a0bd3f5, - 0x3158970e, 0x89e4edef, - 0x30fbc54d, 0x89be50c3, 0x309ed556, 0x8997fc8a, 0x3041c761, 0x8971f15a, - 0x2fe49ba7, 0x894c2f4c, - 0x2f875262, 0x8926b677, 0x2f29ebcc, 0x890186f2, 0x2ecc681e, 0x88dca0d3, - 0x2e6ec792, 0x88b80432, - 0x2e110a62, 0x8893b125, 0x2db330c7, 0x886fa7c2, 0x2d553afc, 0x884be821, - 0x2cf72939, 0x88287256, - 0x2c98fbba, 0x88054677, 0x2c3ab2b9, 0x87e2649b, 0x2bdc4e6f, 0x87bfccd7, - 0x2b7dcf17, 0x879d7f41, - 0x2b1f34eb, 0x877b7bec, 0x2ac08026, 0x8759c2ef, 0x2a61b101, 0x8738545e, - 0x2a02c7b8, 0x8717304e, - 0x29a3c485, 0x86f656d3, 0x2944a7a2, 0x86d5c802, 0x28e5714b, 0x86b583ee, - 0x288621b9, 0x86958aac, - 0x2826b928, 0x8675dc4f, 0x27c737d3, 0x865678eb, 0x27679df4, 0x86376092, - 0x2707ebc7, 0x86189359, - 0x26a82186, 0x85fa1153, 0x26483f6c, 0x85dbda91, 0x25e845b6, 0x85bdef28, - 0x2588349d, 0x85a04f28, - 0x25280c5e, 0x8582faa5, 0x24c7cd33, 0x8565f1b0, 0x24677758, 0x8549345c, - 0x24070b08, 0x852cc2bb, - 0x23a6887f, 0x85109cdd, 0x2345eff8, 0x84f4c2d4, 0x22e541af, 0x84d934b1, - 0x22847de0, 0x84bdf286, - 0x2223a4c5, 0x84a2fc62, 0x21c2b69c, 0x84885258, 0x2161b3a0, 0x846df477, - 0x21009c0c, 0x8453e2cf, - 0x209f701c, 0x843a1d70, 0x203e300d, 0x8420a46c, 0x1fdcdc1b, 0x840777d0, - 0x1f7b7481, 0x83ee97ad, - 0x1f19f97b, 0x83d60412, 0x1eb86b46, 0x83bdbd0e, 0x1e56ca1e, 0x83a5c2b0, - 0x1df5163f, 0x838e1507, - 0x1d934fe5, 0x8376b422, 0x1d31774d, 0x835fa00f, 0x1ccf8cb3, 0x8348d8dc, - 0x1c6d9053, 0x83325e97, - 0x1c0b826a, 0x831c314e, 0x1ba96335, 0x83065110, 0x1b4732ef, 0x82f0bde8, - 0x1ae4f1d6, 0x82db77e5, - 0x1a82a026, 0x82c67f14, 0x1a203e1b, 0x82b1d381, 0x19bdcbf3, 0x829d753a, - 0x195b49ea, 0x8289644b, - 0x18f8b83c, 0x8275a0c0, 0x18961728, 0x82622aa6, 0x183366e9, 0x824f0208, - 0x17d0a7bc, 0x823c26f3, - 0x176dd9de, 0x82299971, 0x170afd8d, 0x82175990, 0x16a81305, 0x82056758, - 0x16451a83, 0x81f3c2d7, - 0x15e21445, 0x81e26c16, 0x157f0086, 0x81d16321, 0x151bdf86, 0x81c0a801, - 0x14b8b17f, 0x81b03ac2, - 0x145576b1, 0x81a01b6d, 0x13f22f58, 0x81904a0c, 0x138edbb1, 0x8180c6a9, - 0x132b7bf9, 0x8171914e, - 0x12c8106f, 0x8162aa04, 0x1264994e, 0x815410d4, 0x120116d5, 0x8145c5c7, - 0x119d8941, 0x8137c8e6, - 0x1139f0cf, 0x812a1a3a, 0x10d64dbd, 0x811cb9ca, 0x1072a048, 0x810fa7a0, - 0x100ee8ad, 0x8102e3c4, - 0xfab272b, 0x80f66e3c, 0xf475bff, 0x80ea4712, 0xee38766, 0x80de6e4c, - 0xe7fa99e, 0x80d2e3f2, - 0xe1bc2e4, 0x80c7a80a, 0xdb7d376, 0x80bcba9d, 0xd53db92, 0x80b21baf, - 0xcefdb76, 0x80a7cb49, - 0xc8bd35e, 0x809dc971, 0xc27c389, 0x8094162c, 0xbc3ac35, 0x808ab180, - 0xb5f8d9f, 0x80819b74, - 0xafb6805, 0x8078d40d, 0xa973ba5, 0x80705b50, 0xa3308bd, 0x80683143, - 0x9cecf89, 0x806055eb, - 0x96a9049, 0x8058c94c, 0x9064b3a, 0x80518b6b, 0x8a2009a, 0x804a9c4d, - 0x83db0a7, 0x8043fbf6, - 0x7d95b9e, 0x803daa6a, 0x77501be, 0x8037a7ac, 0x710a345, 0x8031f3c2, - 0x6ac406f, 0x802c8ead, - 0x647d97c, 0x80277872, 0x5e36ea9, 0x8022b114, 0x57f0035, 0x801e3895, - 0x51a8e5c, 0x801a0ef8, - 0x4b6195d, 0x80163440, 0x451a177, 0x8012a86f, 0x3ed26e6, 0x800f6b88, - 0x388a9ea, 0x800c7d8c, - 0x3242abf, 0x8009de7e, 0x2bfa9a4, 0x80078e5e, 0x25b26d7, 0x80058d2f, - 0x1f6a297, 0x8003daf1, - 0x1921d20, 0x800277a6, 0x12d96b1, 0x8001634e, 0xc90f88, 0x80009dea, - 0x6487e3, 0x8000277a, -}; - -static const q31_t WeightsQ31_2048[4096] = { - 0x7fffffff, 0x0, 0x7ffffd88, 0xffe6de05, 0x7ffff621, 0xffcdbc0b, 0x7fffe9cb, - 0xffb49a12, - 0x7fffd886, 0xff9b781d, 0x7fffc251, 0xff82562c, 0x7fffa72c, 0xff69343f, - 0x7fff8719, 0xff501258, - 0x7fff6216, 0xff36f078, 0x7fff3824, 0xff1dcea0, 0x7fff0943, 0xff04acd0, - 0x7ffed572, 0xfeeb8b0a, - 0x7ffe9cb2, 0xfed2694f, 0x7ffe5f03, 0xfeb947a0, 0x7ffe1c65, 0xfea025fd, - 0x7ffdd4d7, 0xfe870467, - 0x7ffd885a, 0xfe6de2e0, 0x7ffd36ee, 0xfe54c169, 0x7ffce093, 0xfe3ba002, - 0x7ffc8549, 0xfe227eac, - 0x7ffc250f, 0xfe095d69, 0x7ffbbfe6, 0xfdf03c3a, 0x7ffb55ce, 0xfdd71b1e, - 0x7ffae6c7, 0xfdbdfa18, - 0x7ffa72d1, 0xfda4d929, 0x7ff9f9ec, 0xfd8bb850, 0x7ff97c18, 0xfd729790, - 0x7ff8f954, 0xfd5976e9, - 0x7ff871a2, 0xfd40565c, 0x7ff7e500, 0xfd2735ea, 0x7ff75370, 0xfd0e1594, - 0x7ff6bcf0, 0xfcf4f55c, - 0x7ff62182, 0xfcdbd541, 0x7ff58125, 0xfcc2b545, 0x7ff4dbd9, 0xfca9956a, - 0x7ff4319d, 0xfc9075af, - 0x7ff38274, 0xfc775616, 0x7ff2ce5b, 0xfc5e36a0, 0x7ff21553, 0xfc45174e, - 0x7ff1575d, 0xfc2bf821, - 0x7ff09478, 0xfc12d91a, 0x7fefcca4, 0xfbf9ba39, 0x7feeffe1, 0xfbe09b80, - 0x7fee2e30, 0xfbc77cf0, - 0x7fed5791, 0xfbae5e89, 0x7fec7c02, 0xfb95404d, 0x7feb9b85, 0xfb7c223d, - 0x7feab61a, 0xfb630459, - 0x7fe9cbc0, 0xfb49e6a3, 0x7fe8dc78, 0xfb30c91b, 0x7fe7e841, 0xfb17abc2, - 0x7fe6ef1c, 0xfafe8e9b, - 0x7fe5f108, 0xfae571a4, 0x7fe4ee06, 0xfacc54e0, 0x7fe3e616, 0xfab3384f, - 0x7fe2d938, 0xfa9a1bf3, - 0x7fe1c76b, 0xfa80ffcb, 0x7fe0b0b1, 0xfa67e3da, 0x7fdf9508, 0xfa4ec821, - 0x7fde7471, 0xfa35ac9f, - 0x7fdd4eec, 0xfa1c9157, 0x7fdc247a, 0xfa037648, 0x7fdaf519, 0xf9ea5b75, - 0x7fd9c0ca, 0xf9d140de, - 0x7fd8878e, 0xf9b82684, 0x7fd74964, 0xf99f0c68, 0x7fd6064c, 0xf985f28a, - 0x7fd4be46, 0xf96cd8ed, - 0x7fd37153, 0xf953bf91, 0x7fd21f72, 0xf93aa676, 0x7fd0c8a3, 0xf9218d9e, - 0x7fcf6ce8, 0xf908750a, - 0x7fce0c3e, 0xf8ef5cbb, 0x7fcca6a7, 0xf8d644b2, 0x7fcb3c23, 0xf8bd2cef, - 0x7fc9ccb2, 0xf8a41574, - 0x7fc85854, 0xf88afe42, 0x7fc6df08, 0xf871e759, 0x7fc560cf, 0xf858d0bb, - 0x7fc3dda9, 0xf83fba68, - 0x7fc25596, 0xf826a462, 0x7fc0c896, 0xf80d8ea9, 0x7fbf36aa, 0xf7f4793e, - 0x7fbd9fd0, 0xf7db6423, - 0x7fbc040a, 0xf7c24f59, 0x7fba6357, 0xf7a93ae0, 0x7fb8bdb8, 0xf79026b9, - 0x7fb7132b, 0xf77712e5, - 0x7fb563b3, 0xf75dff66, 0x7fb3af4e, 0xf744ec3b, 0x7fb1f5fc, 0xf72bd967, - 0x7fb037bf, 0xf712c6ea, - 0x7fae7495, 0xf6f9b4c6, 0x7facac7f, 0xf6e0a2fa, 0x7faadf7c, 0xf6c79188, - 0x7fa90d8e, 0xf6ae8071, - 0x7fa736b4, 0xf6956fb7, 0x7fa55aee, 0xf67c5f59, 0x7fa37a3c, 0xf6634f59, - 0x7fa1949e, 0xf64a3fb8, - 0x7f9faa15, 0xf6313077, 0x7f9dbaa0, 0xf6182196, 0x7f9bc640, 0xf5ff1318, - 0x7f99ccf4, 0xf5e604fc, - 0x7f97cebd, 0xf5ccf743, 0x7f95cb9a, 0xf5b3e9f0, 0x7f93c38c, 0xf59add02, - 0x7f91b694, 0xf581d07b, - 0x7f8fa4b0, 0xf568c45b, 0x7f8d8de1, 0xf54fb8a4, 0x7f8b7227, 0xf536ad56, - 0x7f895182, 0xf51da273, - 0x7f872bf3, 0xf50497fb, 0x7f850179, 0xf4eb8def, 0x7f82d214, 0xf4d28451, - 0x7f809dc5, 0xf4b97b21, - 0x7f7e648c, 0xf4a07261, 0x7f7c2668, 0xf4876a10, 0x7f79e35a, 0xf46e6231, - 0x7f779b62, 0xf4555ac5, - 0x7f754e80, 0xf43c53cb, 0x7f72fcb4, 0xf4234d45, 0x7f70a5fe, 0xf40a4735, - 0x7f6e4a5e, 0xf3f1419a, - 0x7f6be9d4, 0xf3d83c77, 0x7f698461, 0xf3bf37cb, 0x7f671a05, 0xf3a63398, - 0x7f64aabf, 0xf38d2fe0, - 0x7f62368f, 0xf3742ca2, 0x7f5fbd77, 0xf35b29e0, 0x7f5d3f75, 0xf342279b, - 0x7f5abc8a, 0xf32925d3, - 0x7f5834b7, 0xf310248a, 0x7f55a7fa, 0xf2f723c1, 0x7f531655, 0xf2de2379, - 0x7f507fc7, 0xf2c523b2, - 0x7f4de451, 0xf2ac246e, 0x7f4b43f2, 0xf29325ad, 0x7f489eaa, 0xf27a2771, - 0x7f45f47b, 0xf26129ba, - 0x7f434563, 0xf2482c8a, 0x7f409164, 0xf22f2fe1, 0x7f3dd87c, 0xf21633c0, - 0x7f3b1aad, 0xf1fd3829, - 0x7f3857f6, 0xf1e43d1c, 0x7f359057, 0xf1cb429a, 0x7f32c3d1, 0xf1b248a5, - 0x7f2ff263, 0xf1994f3d, - 0x7f2d1c0e, 0xf1805662, 0x7f2a40d2, 0xf1675e17, 0x7f2760af, 0xf14e665c, - 0x7f247ba5, 0xf1356f32, - 0x7f2191b4, 0xf11c789a, 0x7f1ea2dc, 0xf1038295, 0x7f1baf1e, 0xf0ea8d24, - 0x7f18b679, 0xf0d19848, - 0x7f15b8ee, 0xf0b8a401, 0x7f12b67c, 0xf09fb051, 0x7f0faf25, 0xf086bd39, - 0x7f0ca2e7, 0xf06dcaba, - 0x7f0991c4, 0xf054d8d5, 0x7f067bba, 0xf03be78a, 0x7f0360cb, 0xf022f6da, - 0x7f0040f6, 0xf00a06c8, - 0x7efd1c3c, 0xeff11753, 0x7ef9f29d, 0xefd8287c, 0x7ef6c418, 0xefbf3a45, - 0x7ef390ae, 0xefa64cae, - 0x7ef05860, 0xef8d5fb8, 0x7eed1b2c, 0xef747365, 0x7ee9d914, 0xef5b87b5, - 0x7ee69217, 0xef429caa, - 0x7ee34636, 0xef29b243, 0x7edff570, 0xef10c883, 0x7edc9fc6, 0xeef7df6a, - 0x7ed94538, 0xeedef6f9, - 0x7ed5e5c6, 0xeec60f31, 0x7ed28171, 0xeead2813, 0x7ecf1837, 0xee9441a0, - 0x7ecbaa1a, 0xee7b5bd9, - 0x7ec8371a, 0xee6276bf, 0x7ec4bf36, 0xee499253, 0x7ec14270, 0xee30ae96, - 0x7ebdc0c6, 0xee17cb88, - 0x7eba3a39, 0xedfee92b, 0x7eb6aeca, 0xede60780, 0x7eb31e78, 0xedcd2687, - 0x7eaf8943, 0xedb44642, - 0x7eabef2c, 0xed9b66b2, 0x7ea85033, 0xed8287d7, 0x7ea4ac58, 0xed69a9b3, - 0x7ea1039b, 0xed50cc46, - 0x7e9d55fc, 0xed37ef91, 0x7e99a37c, 0xed1f1396, 0x7e95ec1a, 0xed063856, - 0x7e922fd6, 0xeced5dd0, - 0x7e8e6eb2, 0xecd48407, 0x7e8aa8ac, 0xecbbaafb, 0x7e86ddc6, 0xeca2d2ad, - 0x7e830dff, 0xec89fb1e, - 0x7e7f3957, 0xec71244f, 0x7e7b5fce, 0xec584e41, 0x7e778166, 0xec3f78f6, - 0x7e739e1d, 0xec26a46d, - 0x7e6fb5f4, 0xec0dd0a8, 0x7e6bc8eb, 0xebf4fda8, 0x7e67d703, 0xebdc2b6e, - 0x7e63e03b, 0xebc359fb, - 0x7e5fe493, 0xebaa894f, 0x7e5be40c, 0xeb91b96c, 0x7e57dea7, 0xeb78ea52, - 0x7e53d462, 0xeb601c04, - 0x7e4fc53e, 0xeb474e81, 0x7e4bb13c, 0xeb2e81ca, 0x7e47985b, 0xeb15b5e1, - 0x7e437a9c, 0xeafceac6, - 0x7e3f57ff, 0xeae4207a, 0x7e3b3083, 0xeacb56ff, 0x7e37042a, 0xeab28e56, - 0x7e32d2f4, 0xea99c67e, - 0x7e2e9cdf, 0xea80ff7a, 0x7e2a61ed, 0xea683949, 0x7e26221f, 0xea4f73ee, - 0x7e21dd73, 0xea36af69, - 0x7e1d93ea, 0xea1debbb, 0x7e194584, 0xea0528e5, 0x7e14f242, 0xe9ec66e8, - 0x7e109a24, 0xe9d3a5c5, - 0x7e0c3d29, 0xe9bae57d, 0x7e07db52, 0xe9a22610, 0x7e0374a0, 0xe9896781, - 0x7dff0911, 0xe970a9ce, - 0x7dfa98a8, 0xe957ecfb, 0x7df62362, 0xe93f3107, 0x7df1a942, 0xe92675f4, - 0x7ded2a47, 0xe90dbbc2, - 0x7de8a670, 0xe8f50273, 0x7de41dc0, 0xe8dc4a07, 0x7ddf9034, 0xe8c39280, - 0x7ddafdce, 0xe8aadbde, - 0x7dd6668f, 0xe8922622, 0x7dd1ca75, 0xe879714d, 0x7dcd2981, 0xe860bd61, - 0x7dc883b4, 0xe8480a5d, - 0x7dc3d90d, 0xe82f5844, 0x7dbf298d, 0xe816a716, 0x7dba7534, 0xe7fdf6d4, - 0x7db5bc02, 0xe7e5477f, - 0x7db0fdf8, 0xe7cc9917, 0x7dac3b15, 0xe7b3eb9f, 0x7da77359, 0xe79b3f16, - 0x7da2a6c6, 0xe782937e, - 0x7d9dd55a, 0xe769e8d8, 0x7d98ff17, 0xe7513f25, 0x7d9423fc, 0xe7389665, - 0x7d8f4409, 0xe71fee99, - 0x7d8a5f40, 0xe70747c4, 0x7d85759f, 0xe6eea1e4, 0x7d808728, 0xe6d5fcfc, - 0x7d7b93da, 0xe6bd590d, - 0x7d769bb5, 0xe6a4b616, 0x7d719eba, 0xe68c141a, 0x7d6c9ce9, 0xe6737319, - 0x7d679642, 0xe65ad315, - 0x7d628ac6, 0xe642340d, 0x7d5d7a74, 0xe6299604, 0x7d58654d, 0xe610f8f9, - 0x7d534b50, 0xe5f85cef, - 0x7d4e2c7f, 0xe5dfc1e5, 0x7d4908d9, 0xe5c727dd, 0x7d43e05e, 0xe5ae8ed8, - 0x7d3eb30f, 0xe595f6d7, - 0x7d3980ec, 0xe57d5fda, 0x7d3449f5, 0xe564c9e3, 0x7d2f0e2b, 0xe54c34f3, - 0x7d29cd8c, 0xe533a10a, - 0x7d24881b, 0xe51b0e2a, 0x7d1f3dd6, 0xe5027c53, 0x7d19eebf, 0xe4e9eb87, - 0x7d149ad5, 0xe4d15bc6, - 0x7d0f4218, 0xe4b8cd11, 0x7d09e489, 0xe4a03f69, 0x7d048228, 0xe487b2d0, - 0x7cff1af5, 0xe46f2745, - 0x7cf9aef0, 0xe4569ccb, 0x7cf43e1a, 0xe43e1362, 0x7ceec873, 0xe4258b0a, - 0x7ce94dfb, 0xe40d03c6, - 0x7ce3ceb2, 0xe3f47d96, 0x7cde4a98, 0xe3dbf87a, 0x7cd8c1ae, 0xe3c37474, - 0x7cd333f3, 0xe3aaf184, - 0x7ccda169, 0xe3926fad, 0x7cc80a0f, 0xe379eeed, 0x7cc26de5, 0xe3616f48, - 0x7cbcccec, 0xe348f0bd, - 0x7cb72724, 0xe330734d, 0x7cb17c8d, 0xe317f6fa, 0x7cabcd28, 0xe2ff7bc3, - 0x7ca618f3, 0xe2e701ac, - 0x7ca05ff1, 0xe2ce88b3, 0x7c9aa221, 0xe2b610da, 0x7c94df83, 0xe29d9a23, - 0x7c8f1817, 0xe285248d, - 0x7c894bde, 0xe26cb01b, 0x7c837ad8, 0xe2543ccc, 0x7c7da505, 0xe23bcaa2, - 0x7c77ca65, 0xe223599e, - 0x7c71eaf9, 0xe20ae9c1, 0x7c6c06c0, 0xe1f27b0b, 0x7c661dbc, 0xe1da0d7e, - 0x7c602fec, 0xe1c1a11b, - 0x7c5a3d50, 0xe1a935e2, 0x7c5445e9, 0xe190cbd4, 0x7c4e49b7, 0xe17862f3, - 0x7c4848ba, 0xe15ffb3f, - 0x7c4242f2, 0xe14794ba, 0x7c3c3860, 0xe12f2f63, 0x7c362904, 0xe116cb3d, - 0x7c3014de, 0xe0fe6848, - 0x7c29fbee, 0xe0e60685, 0x7c23de35, 0xe0cda5f5, 0x7c1dbbb3, 0xe0b54698, - 0x7c179467, 0xe09ce871, - 0x7c116853, 0xe0848b7f, 0x7c0b3777, 0xe06c2fc4, 0x7c0501d2, 0xe053d541, - 0x7bfec765, 0xe03b7bf6, - 0x7bf88830, 0xe02323e5, 0x7bf24434, 0xe00acd0e, 0x7bebfb70, 0xdff27773, - 0x7be5ade6, 0xdfda2314, - 0x7bdf5b94, 0xdfc1cff3, 0x7bd9047c, 0xdfa97e0f, 0x7bd2a89e, 0xdf912d6b, - 0x7bcc47fa, 0xdf78de07, - 0x7bc5e290, 0xdf608fe4, 0x7bbf7860, 0xdf484302, 0x7bb9096b, 0xdf2ff764, - 0x7bb295b0, 0xdf17ad0a, - 0x7bac1d31, 0xdeff63f4, 0x7ba59fee, 0xdee71c24, 0x7b9f1de6, 0xdeced59b, - 0x7b989719, 0xdeb69059, - 0x7b920b89, 0xde9e4c60, 0x7b8b7b36, 0xde8609b1, 0x7b84e61f, 0xde6dc84b, - 0x7b7e4c45, 0xde558831, - 0x7b77ada8, 0xde3d4964, 0x7b710a49, 0xde250be3, 0x7b6a6227, 0xde0ccfb1, - 0x7b63b543, 0xddf494ce, - 0x7b5d039e, 0xdddc5b3b, 0x7b564d36, 0xddc422f8, 0x7b4f920e, 0xddabec08, - 0x7b48d225, 0xdd93b66a, - 0x7b420d7a, 0xdd7b8220, 0x7b3b4410, 0xdd634f2b, 0x7b3475e5, 0xdd4b1d8c, - 0x7b2da2fa, 0xdd32ed43, - 0x7b26cb4f, 0xdd1abe51, 0x7b1feee5, 0xdd0290b8, 0x7b190dbc, 0xdcea6478, - 0x7b1227d3, 0xdcd23993, - 0x7b0b3d2c, 0xdcba1008, 0x7b044dc7, 0xdca1e7da, 0x7afd59a4, 0xdc89c109, - 0x7af660c2, 0xdc719b96, - 0x7aef6323, 0xdc597781, 0x7ae860c7, 0xdc4154cd, 0x7ae159ae, 0xdc293379, - 0x7ada4dd8, 0xdc111388, - 0x7ad33d45, 0xdbf8f4f8, 0x7acc27f7, 0xdbe0d7cd, 0x7ac50dec, 0xdbc8bc06, - 0x7abdef25, 0xdbb0a1a4, - 0x7ab6cba4, 0xdb9888a8, 0x7aafa367, 0xdb807114, 0x7aa8766f, 0xdb685ae9, - 0x7aa144bc, 0xdb504626, - 0x7a9a0e50, 0xdb3832cd, 0x7a92d329, 0xdb2020e0, 0x7a8b9348, 0xdb08105e, - 0x7a844eae, 0xdaf00149, - 0x7a7d055b, 0xdad7f3a2, 0x7a75b74f, 0xdabfe76a, 0x7a6e648a, 0xdaa7dca1, - 0x7a670d0d, 0xda8fd349, - 0x7a5fb0d8, 0xda77cb63, 0x7a584feb, 0xda5fc4ef, 0x7a50ea47, 0xda47bfee, - 0x7a497feb, 0xda2fbc61, - 0x7a4210d8, 0xda17ba4a, 0x7a3a9d0f, 0xd9ffb9a9, 0x7a332490, 0xd9e7ba7f, - 0x7a2ba75a, 0xd9cfbccd, - 0x7a24256f, 0xd9b7c094, 0x7a1c9ece, 0xd99fc5d4, 0x7a151378, 0xd987cc90, - 0x7a0d836d, 0xd96fd4c7, - 0x7a05eead, 0xd957de7a, 0x79fe5539, 0xd93fe9ab, 0x79f6b711, 0xd927f65b, - 0x79ef1436, 0xd910048a, - 0x79e76ca7, 0xd8f81439, 0x79dfc064, 0xd8e0256a, 0x79d80f6f, 0xd8c8381d, - 0x79d059c8, 0xd8b04c52, - 0x79c89f6e, 0xd898620c, 0x79c0e062, 0xd880794b, 0x79b91ca4, 0xd868920f, - 0x79b15435, 0xd850ac5a, - 0x79a98715, 0xd838c82d, 0x79a1b545, 0xd820e589, 0x7999dec4, 0xd809046e, - 0x79920392, 0xd7f124dd, - 0x798a23b1, 0xd7d946d8, 0x79823f20, 0xd7c16a5f, 0x797a55e0, 0xd7a98f73, - 0x797267f2, 0xd791b616, - 0x796a7554, 0xd779de47, 0x79627e08, 0xd7620808, 0x795a820e, 0xd74a335b, - 0x79528167, 0xd732603f, - 0x794a7c12, 0xd71a8eb5, 0x79427210, 0xd702bec0, 0x793a6361, 0xd6eaf05f, - 0x79325006, 0xd6d32393, - 0x792a37fe, 0xd6bb585e, 0x79221b4b, 0xd6a38ec0, 0x7919f9ec, 0xd68bc6ba, - 0x7911d3e2, 0xd674004e, - 0x7909a92d, 0xd65c3b7b, 0x790179cd, 0xd6447844, 0x78f945c3, 0xd62cb6a8, - 0x78f10d0f, 0xd614f6a9, - 0x78e8cfb2, 0xd5fd3848, 0x78e08dab, 0xd5e57b85, 0x78d846fb, 0xd5cdc062, - 0x78cffba3, 0xd5b606e0, - 0x78c7aba2, 0xd59e4eff, 0x78bf56f9, 0xd58698c0, 0x78b6fda8, 0xd56ee424, - 0x78ae9fb0, 0xd557312d, - 0x78a63d11, 0xd53f7fda, 0x789dd5cb, 0xd527d02e, 0x789569df, 0xd5102228, - 0x788cf94c, 0xd4f875ca, - 0x78848414, 0xd4e0cb15, 0x787c0a36, 0xd4c92209, 0x78738bb3, 0xd4b17aa8, - 0x786b088c, 0xd499d4f2, - 0x786280bf, 0xd48230e9, 0x7859f44f, 0xd46a8e8d, 0x7851633b, 0xd452eddf, - 0x7848cd83, 0xd43b4ee0, - 0x78403329, 0xd423b191, 0x7837942b, 0xd40c15f3, 0x782ef08b, 0xd3f47c06, - 0x78264849, 0xd3dce3cd, - 0x781d9b65, 0xd3c54d47, 0x7814e9df, 0xd3adb876, 0x780c33b8, 0xd396255a, - 0x780378f1, 0xd37e93f4, - 0x77fab989, 0xd3670446, 0x77f1f581, 0xd34f764f, 0x77e92cd9, 0xd337ea12, - 0x77e05f91, 0xd3205f8f, - 0x77d78daa, 0xd308d6c7, 0x77ceb725, 0xd2f14fba, 0x77c5dc01, 0xd2d9ca6a, - 0x77bcfc3f, 0xd2c246d8, - 0x77b417df, 0xd2aac504, 0x77ab2ee2, 0xd29344f0, 0x77a24148, 0xd27bc69c, - 0x77994f11, 0xd2644a0a, - 0x7790583e, 0xd24ccf39, 0x77875cce, 0xd235562b, 0x777e5cc3, 0xd21ddee2, - 0x7775581d, 0xd206695d, - 0x776c4edb, 0xd1eef59e, 0x776340ff, 0xd1d783a6, 0x775a2e89, 0xd1c01375, - 0x77511778, 0xd1a8a50d, - 0x7747fbce, 0xd191386e, 0x773edb8b, 0xd179cd99, 0x7735b6af, 0xd1626490, - 0x772c8d3a, 0xd14afd52, - 0x77235f2d, 0xd13397e2, 0x771a2c88, 0xd11c343f, 0x7710f54c, 0xd104d26b, - 0x7707b979, 0xd0ed7267, - 0x76fe790e, 0xd0d61434, 0x76f5340e, 0xd0beb7d2, 0x76ebea77, 0xd0a75d42, - 0x76e29c4b, 0xd0900486, - 0x76d94989, 0xd078ad9e, 0x76cff232, 0xd061588b, 0x76c69647, 0xd04a054e, - 0x76bd35c7, 0xd032b3e7, - 0x76b3d0b4, 0xd01b6459, 0x76aa670d, 0xd00416a3, 0x76a0f8d2, 0xcfeccac7, - 0x76978605, 0xcfd580c6, - 0x768e0ea6, 0xcfbe389f, 0x768492b4, 0xcfa6f255, 0x767b1231, 0xcf8fade9, - 0x76718d1c, 0xcf786b5a, - 0x76680376, 0xcf612aaa, 0x765e7540, 0xcf49ebda, 0x7654e279, 0xcf32aeeb, - 0x764b4b23, 0xcf1b73de, - 0x7641af3d, 0xcf043ab3, 0x76380ec8, 0xceed036b, 0x762e69c4, 0xced5ce08, - 0x7624c031, 0xcebe9a8a, - 0x761b1211, 0xcea768f2, 0x76115f63, 0xce903942, 0x7607a828, 0xce790b79, - 0x75fdec60, 0xce61df99, - 0x75f42c0b, 0xce4ab5a2, 0x75ea672a, 0xce338d97, 0x75e09dbd, 0xce1c6777, - 0x75d6cfc5, 0xce054343, - 0x75ccfd42, 0xcdee20fc, 0x75c32634, 0xcdd700a4, 0x75b94a9c, 0xcdbfe23a, - 0x75af6a7b, 0xcda8c5c1, - 0x75a585cf, 0xcd91ab39, 0x759b9c9b, 0xcd7a92a2, 0x7591aedd, 0xcd637bfe, - 0x7587bc98, 0xcd4c674d, - 0x757dc5ca, 0xcd355491, 0x7573ca75, 0xcd1e43ca, 0x7569ca99, 0xcd0734f9, - 0x755fc635, 0xccf0281f, - 0x7555bd4c, 0xccd91d3d, 0x754bafdc, 0xccc21455, 0x75419de7, 0xccab0d65, - 0x7537876c, 0xcc940871, - 0x752d6c6c, 0xcc7d0578, 0x75234ce8, 0xcc66047b, 0x751928e0, 0xcc4f057c, - 0x750f0054, 0xcc38087b, - 0x7504d345, 0xcc210d79, 0x74faa1b3, 0xcc0a1477, 0x74f06b9e, 0xcbf31d75, - 0x74e63108, 0xcbdc2876, - 0x74dbf1ef, 0xcbc53579, 0x74d1ae55, 0xcbae447f, 0x74c7663a, 0xcb97558a, - 0x74bd199f, 0xcb80689a, - 0x74b2c884, 0xcb697db0, 0x74a872e8, 0xcb5294ce, 0x749e18cd, 0xcb3badf3, - 0x7493ba34, 0xcb24c921, - 0x7489571c, 0xcb0de658, 0x747eef85, 0xcaf7059a, 0x74748371, 0xcae026e8, - 0x746a12df, 0xcac94a42, - 0x745f9dd1, 0xcab26fa9, 0x74552446, 0xca9b971e, 0x744aa63f, 0xca84c0a3, - 0x744023bc, 0xca6dec37, - 0x74359cbd, 0xca5719db, 0x742b1144, 0xca404992, 0x74208150, 0xca297b5a, - 0x7415ece2, 0xca12af37, - 0x740b53fb, 0xc9fbe527, 0x7400b69a, 0xc9e51d2d, 0x73f614c0, 0xc9ce5748, - 0x73eb6e6e, 0xc9b7937a, - 0x73e0c3a3, 0xc9a0d1c5, 0x73d61461, 0xc98a1227, 0x73cb60a8, 0xc97354a4, - 0x73c0a878, 0xc95c993a, - 0x73b5ebd1, 0xc945dfec, 0x73ab2ab4, 0xc92f28ba, 0x73a06522, 0xc91873a5, - 0x73959b1b, 0xc901c0ae, - 0x738acc9e, 0xc8eb0fd6, 0x737ff9ae, 0xc8d4611d, 0x73752249, 0xc8bdb485, - 0x736a4671, 0xc8a70a0e, - 0x735f6626, 0xc89061ba, 0x73548168, 0xc879bb89, 0x73499838, 0xc863177b, - 0x733eaa96, 0xc84c7593, - 0x7333b883, 0xc835d5d0, 0x7328c1ff, 0xc81f3834, 0x731dc70a, 0xc8089cbf, - 0x7312c7a5, 0xc7f20373, - 0x7307c3d0, 0xc7db6c50, 0x72fcbb8c, 0xc7c4d757, 0x72f1aed9, 0xc7ae4489, - 0x72e69db7, 0xc797b3e7, - 0x72db8828, 0xc7812572, 0x72d06e2b, 0xc76a992a, 0x72c54fc1, 0xc7540f11, - 0x72ba2cea, 0xc73d8727, - 0x72af05a7, 0xc727016d, 0x72a3d9f7, 0xc7107de4, 0x7298a9dd, 0xc6f9fc8d, - 0x728d7557, 0xc6e37d69, - 0x72823c67, 0xc6cd0079, 0x7276ff0d, 0xc6b685bd, 0x726bbd48, 0xc6a00d37, - 0x7260771b, 0xc68996e7, - 0x72552c85, 0xc67322ce, 0x7249dd86, 0xc65cb0ed, 0x723e8a20, 0xc6464144, - 0x72333251, 0xc62fd3d6, - 0x7227d61c, 0xc61968a2, 0x721c7580, 0xc602ffaa, 0x7211107e, 0xc5ec98ee, - 0x7205a716, 0xc5d6346f, - 0x71fa3949, 0xc5bfd22e, 0x71eec716, 0xc5a9722c, 0x71e35080, 0xc593146a, - 0x71d7d585, 0xc57cb8e9, - 0x71cc5626, 0xc5665fa9, 0x71c0d265, 0xc55008ab, 0x71b54a41, 0xc539b3f1, - 0x71a9bdba, 0xc523617a, - 0x719e2cd2, 0xc50d1149, 0x71929789, 0xc4f6c35d, 0x7186fdde, 0xc4e077b8, - 0x717b5fd3, 0xc4ca2e5b, - 0x716fbd68, 0xc4b3e746, 0x7164169d, 0xc49da27a, 0x71586b74, 0xc4875ff9, - 0x714cbbeb, 0xc4711fc2, - 0x71410805, 0xc45ae1d7, 0x71354fc0, 0xc444a639, 0x7129931f, 0xc42e6ce8, - 0x711dd220, 0xc41835e6, - 0x71120cc5, 0xc4020133, 0x7106430e, 0xc3ebced0, 0x70fa74fc, 0xc3d59ebe, - 0x70eea28e, 0xc3bf70fd, - 0x70e2cbc6, 0xc3a94590, 0x70d6f0a4, 0xc3931c76, 0x70cb1128, 0xc37cf5b0, - 0x70bf2d53, 0xc366d140, - 0x70b34525, 0xc350af26, 0x70a7589f, 0xc33a8f62, 0x709b67c0, 0xc32471f7, - 0x708f728b, 0xc30e56e4, - 0x708378ff, 0xc2f83e2a, 0x70777b1c, 0xc2e227cb, 0x706b78e3, 0xc2cc13c7, - 0x705f7255, 0xc2b6021f, - 0x70536771, 0xc29ff2d4, 0x70475839, 0xc289e5e7, 0x703b44ad, 0xc273db58, - 0x702f2ccd, 0xc25dd329, - 0x7023109a, 0xc247cd5a, 0x7016f014, 0xc231c9ec, 0x700acb3c, 0xc21bc8e1, - 0x6ffea212, 0xc205ca38, - 0x6ff27497, 0xc1efcdf3, 0x6fe642ca, 0xc1d9d412, 0x6fda0cae, 0xc1c3dc97, - 0x6fcdd241, 0xc1ade781, - 0x6fc19385, 0xc197f4d4, 0x6fb5507a, 0xc182048d, 0x6fa90921, 0xc16c16b0, - 0x6f9cbd79, 0xc1562b3d, - 0x6f906d84, 0xc1404233, 0x6f841942, 0xc12a5b95, 0x6f77c0b3, 0xc1147764, - 0x6f6b63d8, 0xc0fe959f, - 0x6f5f02b2, 0xc0e8b648, 0x6f529d40, 0xc0d2d960, 0x6f463383, 0xc0bcfee7, - 0x6f39c57d, 0xc0a726df, - 0x6f2d532c, 0xc0915148, 0x6f20dc92, 0xc07b7e23, 0x6f1461b0, 0xc065ad70, - 0x6f07e285, 0xc04fdf32, - 0x6efb5f12, 0xc03a1368, 0x6eeed758, 0xc0244a14, 0x6ee24b57, 0xc00e8336, - 0x6ed5bb10, 0xbff8bece, - 0x6ec92683, 0xbfe2fcdf, 0x6ebc8db0, 0xbfcd3d69, 0x6eaff099, 0xbfb7806c, - 0x6ea34f3d, 0xbfa1c5ea, - 0x6e96a99d, 0xbf8c0de3, 0x6e89ffb9, 0xbf765858, 0x6e7d5193, 0xbf60a54a, - 0x6e709f2a, 0xbf4af4ba, - 0x6e63e87f, 0xbf3546a8, 0x6e572d93, 0xbf1f9b16, 0x6e4a6e66, 0xbf09f205, - 0x6e3daaf8, 0xbef44b74, - 0x6e30e34a, 0xbedea765, 0x6e24175c, 0xbec905d9, 0x6e174730, 0xbeb366d1, - 0x6e0a72c5, 0xbe9dca4e, - 0x6dfd9a1c, 0xbe88304f, 0x6df0bd35, 0xbe7298d7, 0x6de3dc11, 0xbe5d03e6, - 0x6dd6f6b1, 0xbe47717c, - 0x6dca0d14, 0xbe31e19b, 0x6dbd1f3c, 0xbe1c5444, 0x6db02d29, 0xbe06c977, - 0x6da336dc, 0xbdf14135, - 0x6d963c54, 0xbddbbb7f, 0x6d893d93, 0xbdc63856, 0x6d7c3a98, 0xbdb0b7bb, - 0x6d6f3365, 0xbd9b39ad, - 0x6d6227fa, 0xbd85be30, 0x6d551858, 0xbd704542, 0x6d48047e, 0xbd5acee5, - 0x6d3aec6e, 0xbd455b1a, - 0x6d2dd027, 0xbd2fe9e2, 0x6d20afac, 0xbd1a7b3d, 0x6d138afb, 0xbd050f2c, - 0x6d066215, 0xbcefa5b0, - 0x6cf934fc, 0xbcda3ecb, 0x6cec03af, 0xbcc4da7b, 0x6cdece2f, 0xbcaf78c4, - 0x6cd1947c, 0xbc9a19a5, - 0x6cc45698, 0xbc84bd1f, 0x6cb71482, 0xbc6f6333, 0x6ca9ce3b, 0xbc5a0be2, - 0x6c9c83c3, 0xbc44b72c, - 0x6c8f351c, 0xbc2f6513, 0x6c81e245, 0xbc1a1598, 0x6c748b3f, 0xbc04c8ba, - 0x6c67300b, 0xbbef7e7c, - 0x6c59d0a9, 0xbbda36dd, 0x6c4c6d1a, 0xbbc4f1df, 0x6c3f055d, 0xbbafaf82, - 0x6c319975, 0xbb9a6fc7, - 0x6c242960, 0xbb8532b0, 0x6c16b521, 0xbb6ff83c, 0x6c093cb6, 0xbb5ac06d, - 0x6bfbc021, 0xbb458b43, - 0x6bee3f62, 0xbb3058c0, 0x6be0ba7b, 0xbb1b28e4, 0x6bd3316a, 0xbb05fbb0, - 0x6bc5a431, 0xbaf0d125, - 0x6bb812d1, 0xbadba943, 0x6baa7d49, 0xbac6840c, 0x6b9ce39b, 0xbab16180, - 0x6b8f45c7, 0xba9c41a0, - 0x6b81a3cd, 0xba87246d, 0x6b73fdae, 0xba7209e7, 0x6b66536b, 0xba5cf210, - 0x6b58a503, 0xba47dce8, - 0x6b4af279, 0xba32ca71, 0x6b3d3bcb, 0xba1dbaaa, 0x6b2f80fb, 0xba08ad95, - 0x6b21c208, 0xb9f3a332, - 0x6b13fef5, 0xb9de9b83, 0x6b0637c1, 0xb9c99688, 0x6af86c6c, 0xb9b49442, - 0x6aea9cf8, 0xb99f94b2, - 0x6adcc964, 0xb98a97d8, 0x6acef1b2, 0xb9759db6, 0x6ac115e2, 0xb960a64c, - 0x6ab335f4, 0xb94bb19b, - 0x6aa551e9, 0xb936bfa4, 0x6a9769c1, 0xb921d067, 0x6a897d7d, 0xb90ce3e6, - 0x6a7b8d1e, 0xb8f7fa21, - 0x6a6d98a4, 0xb8e31319, 0x6a5fa010, 0xb8ce2ecf, 0x6a51a361, 0xb8b94d44, - 0x6a43a29a, 0xb8a46e78, - 0x6a359db9, 0xb88f926d, 0x6a2794c1, 0xb87ab922, 0x6a1987b0, 0xb865e299, - 0x6a0b7689, 0xb8510ed4, - 0x69fd614a, 0xb83c3dd1, 0x69ef47f6, 0xb8276f93, 0x69e12a8c, 0xb812a41a, - 0x69d3090e, 0xb7fddb67, - 0x69c4e37a, 0xb7e9157a, 0x69b6b9d3, 0xb7d45255, 0x69a88c19, 0xb7bf91f8, - 0x699a5a4c, 0xb7aad465, - 0x698c246c, 0xb796199b, 0x697dea7b, 0xb781619c, 0x696fac78, 0xb76cac69, - 0x69616a65, 0xb757fa01, - 0x69532442, 0xb7434a67, 0x6944da10, 0xb72e9d9b, 0x69368bce, 0xb719f39e, - 0x6928397e, 0xb7054c6f, - 0x6919e320, 0xb6f0a812, 0x690b88b5, 0xb6dc0685, 0x68fd2a3d, 0xb6c767ca, - 0x68eec7b9, 0xb6b2cbe2, - 0x68e06129, 0xb69e32cd, 0x68d1f68f, 0xb6899c8d, 0x68c387e9, 0xb6750921, - 0x68b5153a, 0xb660788c, - 0x68a69e81, 0xb64beacd, 0x689823bf, 0xb6375fe5, 0x6889a4f6, 0xb622d7d6, - 0x687b2224, 0xb60e529f, - 0x686c9b4b, 0xb5f9d043, 0x685e106c, 0xb5e550c1, 0x684f8186, 0xb5d0d41a, - 0x6840ee9b, 0xb5bc5a50, - 0x683257ab, 0xb5a7e362, 0x6823bcb7, 0xb5936f53, 0x68151dbe, 0xb57efe22, - 0x68067ac3, 0xb56a8fd0, - 0x67f7d3c5, 0xb556245e, 0x67e928c5, 0xb541bbcd, 0x67da79c3, 0xb52d561e, - 0x67cbc6c0, 0xb518f351, - 0x67bd0fbd, 0xb5049368, 0x67ae54ba, 0xb4f03663, 0x679f95b7, 0xb4dbdc42, - 0x6790d2b6, 0xb4c78507, - 0x67820bb7, 0xb4b330b3, 0x677340ba, 0xb49edf45, 0x676471c0, 0xb48a90c0, - 0x67559eca, 0xb4764523, - 0x6746c7d8, 0xb461fc70, 0x6737ecea, 0xb44db6a8, 0x67290e02, 0xb43973ca, - 0x671a2b20, 0xb42533d8, - 0x670b4444, 0xb410f6d3, 0x66fc596f, 0xb3fcbcbb, 0x66ed6aa1, 0xb3e88592, - 0x66de77dc, 0xb3d45157, - 0x66cf8120, 0xb3c0200c, 0x66c0866d, 0xb3abf1b2, 0x66b187c3, 0xb397c649, - 0x66a28524, 0xb3839dd3, - 0x66937e91, 0xb36f784f, 0x66847408, 0xb35b55bf, 0x6675658c, 0xb3473623, - 0x6666531d, 0xb333197c, - 0x66573cbb, 0xb31effcc, 0x66482267, 0xb30ae912, 0x66390422, 0xb2f6d550, - 0x6629e1ec, 0xb2e2c486, - 0x661abbc5, 0xb2ceb6b5, 0x660b91af, 0xb2baabde, 0x65fc63a9, 0xb2a6a402, - 0x65ed31b5, 0xb2929f21, - 0x65ddfbd3, 0xb27e9d3c, 0x65cec204, 0xb26a9e54, 0x65bf8447, 0xb256a26a, - 0x65b0429f, 0xb242a97e, - 0x65a0fd0b, 0xb22eb392, 0x6591b38c, 0xb21ac0a6, 0x65826622, 0xb206d0ba, - 0x657314cf, 0xb1f2e3d0, - 0x6563bf92, 0xb1def9e9, 0x6554666d, 0xb1cb1304, 0x6545095f, 0xb1b72f23, - 0x6535a86b, 0xb1a34e47, - 0x6526438f, 0xb18f7071, 0x6516dacd, 0xb17b95a0, 0x65076e25, 0xb167bdd7, - 0x64f7fd98, 0xb153e915, - 0x64e88926, 0xb140175b, 0x64d910d1, 0xb12c48ab, 0x64c99498, 0xb1187d05, - 0x64ba147d, 0xb104b46a, - 0x64aa907f, 0xb0f0eeda, 0x649b08a0, 0xb0dd2c56, 0x648b7ce0, 0xb0c96ce0, - 0x647bed3f, 0xb0b5b077, - 0x646c59bf, 0xb0a1f71d, 0x645cc260, 0xb08e40d2, 0x644d2722, 0xb07a8d97, - 0x643d8806, 0xb066dd6d, - 0x642de50d, 0xb0533055, 0x641e3e38, 0xb03f864f, 0x640e9386, 0xb02bdf5c, - 0x63fee4f8, 0xb0183b7d, - 0x63ef3290, 0xb0049ab3, 0x63df7c4d, 0xaff0fcfe, 0x63cfc231, 0xafdd625f, - 0x63c0043b, 0xafc9cad7, - 0x63b0426d, 0xafb63667, 0x63a07cc7, 0xafa2a50f, 0x6390b34a, 0xaf8f16d1, - 0x6380e5f6, 0xaf7b8bac, - 0x637114cc, 0xaf6803a2, 0x63613fcd, 0xaf547eb3, 0x635166f9, 0xaf40fce1, - 0x63418a50, 0xaf2d7e2b, - 0x6331a9d4, 0xaf1a0293, 0x6321c585, 0xaf068a1a, 0x6311dd64, 0xaef314c0, - 0x6301f171, 0xaedfa285, - 0x62f201ac, 0xaecc336c, 0x62e20e17, 0xaeb8c774, 0x62d216b3, 0xaea55e9e, - 0x62c21b7e, 0xae91f8eb, - 0x62b21c7b, 0xae7e965b, 0x62a219aa, 0xae6b36f0, 0x6292130c, 0xae57daab, - 0x628208a1, 0xae44818b, - 0x6271fa69, 0xae312b92, 0x6261e866, 0xae1dd8c0, 0x6251d298, 0xae0a8916, - 0x6241b8ff, 0xadf73c96, - 0x62319b9d, 0xade3f33e, 0x62217a72, 0xadd0ad12, 0x6211557e, 0xadbd6a10, - 0x62012cc2, 0xadaa2a3b, - 0x61f1003f, 0xad96ed92, 0x61e0cff5, 0xad83b416, 0x61d09be5, 0xad707dc8, - 0x61c06410, 0xad5d4aaa, - 0x61b02876, 0xad4a1aba, 0x619fe918, 0xad36edfc, 0x618fa5f7, 0xad23c46e, - 0x617f5f12, 0xad109e12, - 0x616f146c, 0xacfd7ae8, 0x615ec603, 0xacea5af2, 0x614e73da, 0xacd73e30, - 0x613e1df0, 0xacc424a3, - 0x612dc447, 0xacb10e4b, 0x611d66de, 0xac9dfb29, 0x610d05b7, 0xac8aeb3e, - 0x60fca0d2, 0xac77de8b, - 0x60ec3830, 0xac64d510, 0x60dbcbd1, 0xac51cecf, 0x60cb5bb7, 0xac3ecbc7, - 0x60bae7e1, 0xac2bcbfa, - 0x60aa7050, 0xac18cf69, 0x6099f505, 0xac05d613, 0x60897601, 0xabf2dffb, - 0x6078f344, 0xabdfed1f, - 0x60686ccf, 0xabccfd83, 0x6057e2a2, 0xabba1125, 0x604754bf, 0xaba72807, - 0x6036c325, 0xab944229, - 0x60262dd6, 0xab815f8d, 0x601594d1, 0xab6e8032, 0x6004f819, 0xab5ba41a, - 0x5ff457ad, 0xab48cb46, - 0x5fe3b38d, 0xab35f5b5, 0x5fd30bbc, 0xab23236a, 0x5fc26038, 0xab105464, - 0x5fb1b104, 0xaafd88a4, - 0x5fa0fe1f, 0xaaeac02c, 0x5f90478a, 0xaad7fafb, 0x5f7f8d46, 0xaac53912, - 0x5f6ecf53, 0xaab27a73, - 0x5f5e0db3, 0xaa9fbf1e, 0x5f4d4865, 0xaa8d0713, 0x5f3c7f6b, 0xaa7a5253, - 0x5f2bb2c5, 0xaa67a0e0, - 0x5f1ae274, 0xaa54f2ba, 0x5f0a0e77, 0xaa4247e1, 0x5ef936d1, 0xaa2fa056, - 0x5ee85b82, 0xaa1cfc1a, - 0x5ed77c8a, 0xaa0a5b2e, 0x5ec699e9, 0xa9f7bd92, 0x5eb5b3a2, 0xa9e52347, - 0x5ea4c9b3, 0xa9d28c4e, - 0x5e93dc1f, 0xa9bff8a8, 0x5e82eae5, 0xa9ad6855, 0x5e71f606, 0xa99adb56, - 0x5e60fd84, 0xa98851ac, - 0x5e50015d, 0xa975cb57, 0x5e3f0194, 0xa9634858, 0x5e2dfe29, 0xa950c8b0, - 0x5e1cf71c, 0xa93e4c5f, - 0x5e0bec6e, 0xa92bd367, 0x5dfade20, 0xa9195dc7, 0x5de9cc33, 0xa906eb82, - 0x5dd8b6a7, 0xa8f47c97, - 0x5dc79d7c, 0xa8e21106, 0x5db680b4, 0xa8cfa8d2, 0x5da5604f, 0xa8bd43fa, - 0x5d943c4e, 0xa8aae280, - 0x5d8314b1, 0xa8988463, 0x5d71e979, 0xa88629a5, 0x5d60baa7, 0xa873d246, - 0x5d4f883b, 0xa8617e48, - 0x5d3e5237, 0xa84f2daa, 0x5d2d189a, 0xa83ce06e, 0x5d1bdb65, 0xa82a9693, - 0x5d0a9a9a, 0xa818501c, - 0x5cf95638, 0xa8060d08, 0x5ce80e41, 0xa7f3cd59, 0x5cd6c2b5, 0xa7e1910f, - 0x5cc57394, 0xa7cf582a, - 0x5cb420e0, 0xa7bd22ac, 0x5ca2ca99, 0xa7aaf094, 0x5c9170bf, 0xa798c1e5, - 0x5c801354, 0xa786969e, - 0x5c6eb258, 0xa7746ec0, 0x5c5d4dcc, 0xa7624a4d, 0x5c4be5b0, 0xa7502943, - 0x5c3a7a05, 0xa73e0ba5, - 0x5c290acc, 0xa72bf174, 0x5c179806, 0xa719daae, 0x5c0621b2, 0xa707c757, - 0x5bf4a7d2, 0xa6f5b76d, - 0x5be32a67, 0xa6e3aaf2, 0x5bd1a971, 0xa6d1a1e7, 0x5bc024f0, 0xa6bf9c4b, - 0x5bae9ce7, 0xa6ad9a21, - 0x5b9d1154, 0xa69b9b68, 0x5b8b8239, 0xa689a022, 0x5b79ef96, 0xa677a84e, - 0x5b68596d, 0xa665b3ee, - 0x5b56bfbd, 0xa653c303, 0x5b452288, 0xa641d58c, 0x5b3381ce, 0xa62feb8b, - 0x5b21dd90, 0xa61e0501, - 0x5b1035cf, 0xa60c21ee, 0x5afe8a8b, 0xa5fa4252, 0x5aecdbc5, 0xa5e8662f, - 0x5adb297d, 0xa5d68d85, - 0x5ac973b5, 0xa5c4b855, 0x5ab7ba6c, 0xa5b2e6a0, 0x5aa5fda5, 0xa5a11866, - 0x5a943d5e, 0xa58f4da8, - 0x5a82799a, 0xa57d8666, 0x5a70b258, 0xa56bc2a2, 0x5a5ee79a, 0xa55a025b, - 0x5a4d1960, 0xa5484594, - 0x5a3b47ab, 0xa5368c4b, 0x5a29727b, 0xa524d683, 0x5a1799d1, 0xa513243b, - 0x5a05bdae, 0xa5017575, - 0x59f3de12, 0xa4efca31, 0x59e1faff, 0xa4de2270, 0x59d01475, 0xa4cc7e32, - 0x59be2a74, 0xa4badd78, - 0x59ac3cfd, 0xa4a94043, 0x599a4c12, 0xa497a693, 0x598857b2, 0xa486106a, - 0x59765fde, 0xa4747dc7, - 0x59646498, 0xa462eeac, 0x595265df, 0xa4516319, 0x594063b5, 0xa43fdb10, - 0x592e5e19, 0xa42e568f, - 0x591c550e, 0xa41cd599, 0x590a4893, 0xa40b582e, 0x58f838a9, 0xa3f9de4e, - 0x58e62552, 0xa3e867fa, - 0x58d40e8c, 0xa3d6f534, 0x58c1f45b, 0xa3c585fb, 0x58afd6bd, 0xa3b41a50, - 0x589db5b3, 0xa3a2b234, - 0x588b9140, 0xa3914da8, 0x58796962, 0xa37fecac, 0x58673e1b, 0xa36e8f41, - 0x58550f6c, 0xa35d3567, - 0x5842dd54, 0xa34bdf20, 0x5830a7d6, 0xa33a8c6c, 0x581e6ef1, 0xa3293d4b, - 0x580c32a7, 0xa317f1bf, - 0x57f9f2f8, 0xa306a9c8, 0x57e7afe4, 0xa2f56566, 0x57d5696d, 0xa2e4249b, - 0x57c31f92, 0xa2d2e766, - 0x57b0d256, 0xa2c1adc9, 0x579e81b8, 0xa2b077c5, 0x578c2dba, 0xa29f4559, - 0x5779d65b, 0xa28e1687, - 0x57677b9d, 0xa27ceb4f, 0x57551d80, 0xa26bc3b2, 0x5742bc06, 0xa25a9fb1, - 0x5730572e, 0xa2497f4c, - 0x571deefa, 0xa2386284, 0x570b8369, 0xa2274959, 0x56f9147e, 0xa21633cd, - 0x56e6a239, 0xa20521e0, - 0x56d42c99, 0xa1f41392, 0x56c1b3a1, 0xa1e308e4, 0x56af3750, 0xa1d201d7, - 0x569cb7a8, 0xa1c0fe6c, - 0x568a34a9, 0xa1affea3, 0x5677ae54, 0xa19f027c, 0x566524aa, 0xa18e09fa, - 0x565297ab, 0xa17d151b, - 0x56400758, 0xa16c23e1, 0x562d73b2, 0xa15b364d, 0x561adcb9, 0xa14a4c5e, - 0x5608426e, 0xa1396617, - 0x55f5a4d2, 0xa1288376, 0x55e303e6, 0xa117a47e, 0x55d05faa, 0xa106c92f, - 0x55bdb81f, 0xa0f5f189, - 0x55ab0d46, 0xa0e51d8c, 0x55985f20, 0xa0d44d3b, 0x5585adad, 0xa0c38095, - 0x5572f8ed, 0xa0b2b79b, - 0x556040e2, 0xa0a1f24d, 0x554d858d, 0xa09130ad, 0x553ac6ee, 0xa08072ba, - 0x55280505, 0xa06fb876, - 0x55153fd4, 0xa05f01e1, 0x5502775c, 0xa04e4efc, 0x54efab9c, 0xa03d9fc8, - 0x54dcdc96, 0xa02cf444, - 0x54ca0a4b, 0xa01c4c73, 0x54b734ba, 0xa00ba853, 0x54a45be6, 0x9ffb07e7, - 0x54917fce, 0x9fea6b2f, - 0x547ea073, 0x9fd9d22a, 0x546bbdd7, 0x9fc93cdb, 0x5458d7f9, 0x9fb8ab41, - 0x5445eedb, 0x9fa81d5e, - 0x5433027d, 0x9f979331, 0x542012e1, 0x9f870cbc, 0x540d2005, 0x9f7689ff, - 0x53fa29ed, 0x9f660afb, - 0x53e73097, 0x9f558fb0, 0x53d43406, 0x9f45181f, 0x53c13439, 0x9f34a449, - 0x53ae3131, 0x9f24342f, - 0x539b2af0, 0x9f13c7d0, 0x53882175, 0x9f035f2e, 0x537514c2, 0x9ef2fa49, - 0x536204d7, 0x9ee29922, - 0x534ef1b5, 0x9ed23bb9, 0x533bdb5d, 0x9ec1e210, 0x5328c1d0, 0x9eb18c26, - 0x5315a50e, 0x9ea139fd, - 0x53028518, 0x9e90eb94, 0x52ef61ee, 0x9e80a0ee, 0x52dc3b92, 0x9e705a09, - 0x52c91204, 0x9e6016e8, - 0x52b5e546, 0x9e4fd78a, 0x52a2b556, 0x9e3f9bf0, 0x528f8238, 0x9e2f641b, - 0x527c4bea, 0x9e1f300b, - 0x5269126e, 0x9e0effc1, 0x5255d5c5, 0x9dfed33e, 0x524295f0, 0x9deeaa82, - 0x522f52ee, 0x9dde858e, - 0x521c0cc2, 0x9dce6463, 0x5208c36a, 0x9dbe4701, 0x51f576ea, 0x9dae2d68, - 0x51e22740, 0x9d9e179a, - 0x51ced46e, 0x9d8e0597, 0x51bb7e75, 0x9d7df75f, 0x51a82555, 0x9d6decf4, - 0x5194c910, 0x9d5de656, - 0x518169a5, 0x9d4de385, 0x516e0715, 0x9d3de482, 0x515aa162, 0x9d2de94d, - 0x5147388c, 0x9d1df1e9, - 0x5133cc94, 0x9d0dfe54, 0x51205d7b, 0x9cfe0e8f, 0x510ceb40, 0x9cee229c, - 0x50f975e6, 0x9cde3a7b, - 0x50e5fd6d, 0x9cce562c, 0x50d281d5, 0x9cbe75b0, 0x50bf031f, 0x9cae9907, - 0x50ab814d, 0x9c9ec033, - 0x5097fc5e, 0x9c8eeb34, 0x50847454, 0x9c7f1a0a, 0x5070e92f, 0x9c6f4cb6, - 0x505d5af1, 0x9c5f8339, - 0x5049c999, 0x9c4fbd93, 0x50363529, 0x9c3ffbc5, 0x50229da1, 0x9c303dcf, - 0x500f0302, 0x9c2083b3, - 0x4ffb654d, 0x9c10cd70, 0x4fe7c483, 0x9c011b08, 0x4fd420a4, 0x9bf16c7a, - 0x4fc079b1, 0x9be1c1c8, - 0x4faccfab, 0x9bd21af3, 0x4f992293, 0x9bc277fa, 0x4f857269, 0x9bb2d8de, - 0x4f71bf2e, 0x9ba33da0, - 0x4f5e08e3, 0x9b93a641, 0x4f4a4f89, 0x9b8412c1, 0x4f369320, 0x9b748320, - 0x4f22d3aa, 0x9b64f760, - 0x4f0f1126, 0x9b556f81, 0x4efb4b96, 0x9b45eb83, 0x4ee782fb, 0x9b366b68, - 0x4ed3b755, 0x9b26ef2f, - 0x4ebfe8a5, 0x9b1776da, 0x4eac16eb, 0x9b080268, 0x4e984229, 0x9af891db, - 0x4e846a60, 0x9ae92533, - 0x4e708f8f, 0x9ad9bc71, 0x4e5cb1b9, 0x9aca5795, 0x4e48d0dd, 0x9abaf6a1, - 0x4e34ecfc, 0x9aab9993, - 0x4e210617, 0x9a9c406e, 0x4e0d1c30, 0x9a8ceb31, 0x4df92f46, 0x9a7d99de, - 0x4de53f5a, 0x9a6e4c74, - 0x4dd14c6e, 0x9a5f02f5, 0x4dbd5682, 0x9a4fbd61, 0x4da95d96, 0x9a407bb9, - 0x4d9561ac, 0x9a313dfc, - 0x4d8162c4, 0x9a22042d, 0x4d6d60df, 0x9a12ce4b, 0x4d595bfe, 0x9a039c57, - 0x4d455422, 0x99f46e51, - 0x4d31494b, 0x99e5443b, 0x4d1d3b7a, 0x99d61e14, 0x4d092ab0, 0x99c6fbde, - 0x4cf516ee, 0x99b7dd99, - 0x4ce10034, 0x99a8c345, 0x4ccce684, 0x9999ace3, 0x4cb8c9dd, 0x998a9a74, - 0x4ca4aa41, 0x997b8bf8, - 0x4c9087b1, 0x996c816f, 0x4c7c622d, 0x995d7adc, 0x4c6839b7, 0x994e783d, - 0x4c540e4e, 0x993f7993, - 0x4c3fdff4, 0x99307ee0, 0x4c2baea9, 0x99218824, 0x4c177a6e, 0x9912955f, - 0x4c034345, 0x9903a691, - 0x4bef092d, 0x98f4bbbc, 0x4bdacc28, 0x98e5d4e0, 0x4bc68c36, 0x98d6f1fe, - 0x4bb24958, 0x98c81316, - 0x4b9e0390, 0x98b93828, 0x4b89badd, 0x98aa6136, 0x4b756f40, 0x989b8e40, - 0x4b6120bb, 0x988cbf46, - 0x4b4ccf4d, 0x987df449, 0x4b387af9, 0x986f2d4a, 0x4b2423be, 0x98606a49, - 0x4b0fc99d, 0x9851ab46, - 0x4afb6c98, 0x9842f043, 0x4ae70caf, 0x98343940, 0x4ad2a9e2, 0x9825863d, - 0x4abe4433, 0x9816d73b, - 0x4aa9dba2, 0x98082c3b, 0x4a957030, 0x97f9853d, 0x4a8101de, 0x97eae242, - 0x4a6c90ad, 0x97dc4349, - 0x4a581c9e, 0x97cda855, 0x4a43a5b0, 0x97bf1165, 0x4a2f2be6, 0x97b07e7a, - 0x4a1aaf3f, 0x97a1ef94, - 0x4a062fbd, 0x979364b5, 0x49f1ad61, 0x9784dddc, 0x49dd282a, 0x97765b0a, - 0x49c8a01b, 0x9767dc41, - 0x49b41533, 0x9759617f, 0x499f8774, 0x974aeac6, 0x498af6df, 0x973c7817, - 0x49766373, 0x972e0971, - 0x4961cd33, 0x971f9ed7, 0x494d341e, 0x97113847, 0x49389836, 0x9702d5c3, - 0x4923f97b, 0x96f4774b, - 0x490f57ee, 0x96e61ce0, 0x48fab391, 0x96d7c682, 0x48e60c62, 0x96c97432, - 0x48d16265, 0x96bb25f0, - 0x48bcb599, 0x96acdbbe, 0x48a805ff, 0x969e959b, 0x48935397, 0x96905388, - 0x487e9e64, 0x96821585, - 0x4869e665, 0x9673db94, 0x48552b9b, 0x9665a5b4, 0x48406e08, 0x965773e7, - 0x482badab, 0x9649462d, - 0x4816ea86, 0x963b1c86, 0x48022499, 0x962cf6f2, 0x47ed5be6, 0x961ed574, - 0x47d8906d, 0x9610b80a, - 0x47c3c22f, 0x96029eb6, 0x47aef12c, 0x95f48977, 0x479a1d67, 0x95e67850, - 0x478546de, 0x95d86b3f, - 0x47706d93, 0x95ca6247, 0x475b9188, 0x95bc5d66, 0x4746b2bc, 0x95ae5c9f, - 0x4731d131, 0x95a05ff0, - 0x471cece7, 0x9592675c, 0x470805df, 0x958472e2, 0x46f31c1a, 0x95768283, - 0x46de2f99, 0x9568963f, - 0x46c9405c, 0x955aae17, 0x46b44e65, 0x954cca0c, 0x469f59b4, 0x953eea1e, - 0x468a624a, 0x95310e4e, - 0x46756828, 0x9523369c, 0x46606b4e, 0x95156308, 0x464b6bbe, 0x95079394, - 0x46366978, 0x94f9c83f, - 0x4621647d, 0x94ec010b, 0x460c5cce, 0x94de3df8, 0x45f7526b, 0x94d07f05, - 0x45e24556, 0x94c2c435, - 0x45cd358f, 0x94b50d87, 0x45b82318, 0x94a75afd, 0x45a30df0, 0x9499ac95, - 0x458df619, 0x948c0252, - 0x4578db93, 0x947e5c33, 0x4563be60, 0x9470ba39, 0x454e9e80, 0x94631c65, - 0x45397bf4, 0x945582b7, - 0x452456bd, 0x9447ed2f, 0x450f2edb, 0x943a5bcf, 0x44fa0450, 0x942cce96, - 0x44e4d71c, 0x941f4585, - 0x44cfa740, 0x9411c09e, 0x44ba74bd, 0x94043fdf, 0x44a53f93, 0x93f6c34a, - 0x449007c4, 0x93e94adf, - 0x447acd50, 0x93dbd6a0, 0x44659039, 0x93ce668b, 0x4450507e, 0x93c0faa3, - 0x443b0e21, 0x93b392e6, - 0x4425c923, 0x93a62f57, 0x44108184, 0x9398cff5, 0x43fb3746, 0x938b74c1, - 0x43e5ea68, 0x937e1dbb, - 0x43d09aed, 0x9370cae4, 0x43bb48d4, 0x93637c3d, 0x43a5f41e, 0x935631c5, - 0x43909ccd, 0x9348eb7e, - 0x437b42e1, 0x933ba968, 0x4365e65b, 0x932e6b84, 0x4350873c, 0x932131d1, - 0x433b2585, 0x9313fc51, - 0x4325c135, 0x9306cb04, 0x43105a50, 0x92f99deb, 0x42faf0d4, 0x92ec7505, - 0x42e584c3, 0x92df5054, - 0x42d0161e, 0x92d22fd9, 0x42baa4e6, 0x92c51392, 0x42a5311b, 0x92b7fb82, - 0x428fbabe, 0x92aae7a8, - 0x427a41d0, 0x929dd806, 0x4264c653, 0x9290cc9b, 0x424f4845, 0x9283c568, - 0x4239c7aa, 0x9276c26d, - 0x42244481, 0x9269c3ac, 0x420ebecb, 0x925cc924, 0x41f93689, 0x924fd2d7, - 0x41e3abbc, 0x9242e0c4, - 0x41ce1e65, 0x9235f2ec, 0x41b88e84, 0x9229094f, 0x41a2fc1a, 0x921c23ef, - 0x418d6729, 0x920f42cb, - 0x4177cfb1, 0x920265e4, 0x416235b2, 0x91f58d3b, 0x414c992f, 0x91e8b8d0, - 0x4136fa27, 0x91dbe8a4, - 0x4121589b, 0x91cf1cb6, 0x410bb48c, 0x91c25508, 0x40f60dfb, 0x91b5919a, - 0x40e064ea, 0x91a8d26d, - 0x40cab958, 0x919c1781, 0x40b50b46, 0x918f60d6, 0x409f5ab6, 0x9182ae6d, - 0x4089a7a8, 0x91760047, - 0x4073f21d, 0x91695663, 0x405e3a16, 0x915cb0c3, 0x40487f94, 0x91500f67, - 0x4032c297, 0x91437250, - 0x401d0321, 0x9136d97d, 0x40074132, 0x912a44f0, 0x3ff17cca, 0x911db4a9, - 0x3fdbb5ec, 0x911128a8, - 0x3fc5ec98, 0x9104a0ee, 0x3fb020ce, 0x90f81d7b, 0x3f9a5290, 0x90eb9e50, - 0x3f8481dd, 0x90df236e, - 0x3f6eaeb8, 0x90d2acd4, 0x3f58d921, 0x90c63a83, 0x3f430119, 0x90b9cc7d, - 0x3f2d26a0, 0x90ad62c0, - 0x3f1749b8, 0x90a0fd4e, 0x3f016a61, 0x90949c28, 0x3eeb889c, 0x90883f4d, - 0x3ed5a46b, 0x907be6be, - 0x3ebfbdcd, 0x906f927c, 0x3ea9d4c3, 0x90634287, 0x3e93e950, 0x9056f6df, - 0x3e7dfb73, 0x904aaf86, - 0x3e680b2c, 0x903e6c7b, 0x3e52187f, 0x90322dbf, 0x3e3c2369, 0x9025f352, - 0x3e262bee, 0x9019bd36, - 0x3e10320d, 0x900d8b69, 0x3dfa35c8, 0x90015dee, 0x3de4371f, 0x8ff534c4, - 0x3dce3614, 0x8fe90fec, - 0x3db832a6, 0x8fdcef66, 0x3da22cd7, 0x8fd0d333, 0x3d8c24a8, 0x8fc4bb53, - 0x3d761a19, 0x8fb8a7c7, - 0x3d600d2c, 0x8fac988f, 0x3d49fde1, 0x8fa08dab, 0x3d33ec39, 0x8f94871d, - 0x3d1dd835, 0x8f8884e4, - 0x3d07c1d6, 0x8f7c8701, 0x3cf1a91c, 0x8f708d75, 0x3cdb8e09, 0x8f649840, - 0x3cc5709e, 0x8f58a761, - 0x3caf50da, 0x8f4cbadb, 0x3c992ec0, 0x8f40d2ad, 0x3c830a50, 0x8f34eed8, - 0x3c6ce38a, 0x8f290f5c, - 0x3c56ba70, 0x8f1d343a, 0x3c408f03, 0x8f115d72, 0x3c2a6142, 0x8f058b04, - 0x3c143130, 0x8ef9bcf2, - 0x3bfdfecd, 0x8eedf33b, 0x3be7ca1a, 0x8ee22de0, 0x3bd19318, 0x8ed66ce1, - 0x3bbb59c7, 0x8ecab040, - 0x3ba51e29, 0x8ebef7fb, 0x3b8ee03e, 0x8eb34415, 0x3b78a007, 0x8ea7948c, - 0x3b625d86, 0x8e9be963, - 0x3b4c18ba, 0x8e904298, 0x3b35d1a5, 0x8e84a02d, 0x3b1f8848, 0x8e790222, - 0x3b093ca3, 0x8e6d6877, - 0x3af2eeb7, 0x8e61d32e, 0x3adc9e86, 0x8e564246, 0x3ac64c0f, 0x8e4ab5bf, - 0x3aaff755, 0x8e3f2d9b, - 0x3a99a057, 0x8e33a9da, 0x3a834717, 0x8e282a7b, 0x3a6ceb96, 0x8e1caf80, - 0x3a568dd4, 0x8e1138ea, - 0x3a402dd2, 0x8e05c6b7, 0x3a29cb91, 0x8dfa58ea, 0x3a136712, 0x8deeef82, - 0x39fd0056, 0x8de38a80, - 0x39e6975e, 0x8dd829e4, 0x39d02c2a, 0x8dcccdaf, 0x39b9bebc, 0x8dc175e0, - 0x39a34f13, 0x8db6227a, - 0x398cdd32, 0x8daad37b, 0x39766919, 0x8d9f88e5, 0x395ff2c9, 0x8d9442b8, - 0x39497a43, 0x8d8900f3, - 0x3932ff87, 0x8d7dc399, 0x391c8297, 0x8d728aa9, 0x39060373, 0x8d675623, - 0x38ef821c, 0x8d5c2609, - 0x38d8fe93, 0x8d50fa59, 0x38c278d9, 0x8d45d316, 0x38abf0ef, 0x8d3ab03f, - 0x389566d6, 0x8d2f91d5, - 0x387eda8e, 0x8d2477d8, 0x38684c19, 0x8d196249, 0x3851bb77, 0x8d0e5127, - 0x383b28a9, 0x8d034474, - 0x382493b0, 0x8cf83c30, 0x380dfc8d, 0x8ced385b, 0x37f76341, 0x8ce238f6, - 0x37e0c7cc, 0x8cd73e01, - 0x37ca2a30, 0x8ccc477d, 0x37b38a6d, 0x8cc1556a, 0x379ce885, 0x8cb667c8, - 0x37864477, 0x8cab7e98, - 0x376f9e46, 0x8ca099da, 0x3758f5f2, 0x8c95b98f, 0x37424b7b, 0x8c8addb7, - 0x372b9ee3, 0x8c800652, - 0x3714f02a, 0x8c753362, 0x36fe3f52, 0x8c6a64e5, 0x36e78c5b, 0x8c5f9ade, - 0x36d0d746, 0x8c54d54c, - 0x36ba2014, 0x8c4a142f, 0x36a366c6, 0x8c3f5788, 0x368cab5c, 0x8c349f58, - 0x3675edd9, 0x8c29eb9f, - 0x365f2e3b, 0x8c1f3c5d, 0x36486c86, 0x8c149192, 0x3631a8b8, 0x8c09eb40, - 0x361ae2d3, 0x8bff4966, - 0x36041ad9, 0x8bf4ac05, 0x35ed50c9, 0x8bea131e, 0x35d684a6, 0x8bdf7eb0, - 0x35bfb66e, 0x8bd4eebc, - 0x35a8e625, 0x8bca6343, 0x359213c9, 0x8bbfdc44, 0x357b3f5d, 0x8bb559c1, - 0x356468e2, 0x8baadbba, - 0x354d9057, 0x8ba0622f, 0x3536b5be, 0x8b95ed21, 0x351fd918, 0x8b8b7c8f, - 0x3508fa66, 0x8b81107b, - 0x34f219a8, 0x8b76a8e4, 0x34db36df, 0x8b6c45cc, 0x34c4520d, 0x8b61e733, - 0x34ad6b32, 0x8b578d18, - 0x34968250, 0x8b4d377c, 0x347f9766, 0x8b42e661, 0x3468aa76, 0x8b3899c6, - 0x3451bb81, 0x8b2e51ab, - 0x343aca87, 0x8b240e11, 0x3423d78a, 0x8b19cef8, 0x340ce28b, 0x8b0f9462, - 0x33f5eb89, 0x8b055e4d, - 0x33def287, 0x8afb2cbb, 0x33c7f785, 0x8af0ffac, 0x33b0fa84, 0x8ae6d720, - 0x3399fb85, 0x8adcb318, - 0x3382fa88, 0x8ad29394, 0x336bf78f, 0x8ac87894, 0x3354f29b, 0x8abe6219, - 0x333debab, 0x8ab45024, - 0x3326e2c3, 0x8aaa42b4, 0x330fd7e1, 0x8aa039cb, 0x32f8cb07, 0x8a963567, - 0x32e1bc36, 0x8a8c358b, - 0x32caab6f, 0x8a823a36, 0x32b398b3, 0x8a784368, 0x329c8402, 0x8a6e5123, - 0x32856d5e, 0x8a646365, - 0x326e54c7, 0x8a5a7a31, 0x32573a3f, 0x8a509585, 0x32401dc6, 0x8a46b564, - 0x3228ff5c, 0x8a3cd9cc, - 0x3211df04, 0x8a3302be, 0x31fabcbd, 0x8a29303b, 0x31e39889, 0x8a1f6243, - 0x31cc7269, 0x8a1598d6, - 0x31b54a5e, 0x8a0bd3f5, 0x319e2067, 0x8a0213a0, 0x3186f487, 0x89f857d8, - 0x316fc6be, 0x89eea09d, - 0x3158970e, 0x89e4edef, 0x31416576, 0x89db3fcf, 0x312a31f8, 0x89d1963c, - 0x3112fc95, 0x89c7f138, - 0x30fbc54d, 0x89be50c3, 0x30e48c22, 0x89b4b4dd, 0x30cd5115, 0x89ab1d87, - 0x30b61426, 0x89a18ac0, - 0x309ed556, 0x8997fc8a, 0x308794a6, 0x898e72e4, 0x30705217, 0x8984edcf, - 0x30590dab, 0x897b6d4c, - 0x3041c761, 0x8971f15a, 0x302a7f3a, 0x896879fb, 0x30133539, 0x895f072e, - 0x2ffbe95d, 0x895598f3, - 0x2fe49ba7, 0x894c2f4c, 0x2fcd4c19, 0x8942ca39, 0x2fb5fab2, 0x893969b9, - 0x2f9ea775, 0x89300dce, - 0x2f875262, 0x8926b677, 0x2f6ffb7a, 0x891d63b5, 0x2f58a2be, 0x89141589, - 0x2f41482e, 0x890acbf2, - 0x2f29ebcc, 0x890186f2, 0x2f128d99, 0x88f84687, 0x2efb2d95, 0x88ef0ab4, - 0x2ee3cbc1, 0x88e5d378, - 0x2ecc681e, 0x88dca0d3, 0x2eb502ae, 0x88d372c6, 0x2e9d9b70, 0x88ca4951, - 0x2e863267, 0x88c12475, - 0x2e6ec792, 0x88b80432, 0x2e575af3, 0x88aee888, 0x2e3fec8b, 0x88a5d177, - 0x2e287c5a, 0x889cbf01, - 0x2e110a62, 0x8893b125, 0x2df996a3, 0x888aa7e3, 0x2de2211e, 0x8881a33d, - 0x2dcaa9d5, 0x8878a332, - 0x2db330c7, 0x886fa7c2, 0x2d9bb5f6, 0x8866b0ef, 0x2d843964, 0x885dbeb8, - 0x2d6cbb10, 0x8854d11e, - 0x2d553afc, 0x884be821, 0x2d3db928, 0x884303c1, 0x2d263596, 0x883a23ff, - 0x2d0eb046, 0x883148db, - 0x2cf72939, 0x88287256, 0x2cdfa071, 0x881fa06f, 0x2cc815ee, 0x8816d327, - 0x2cb089b1, 0x880e0a7f, - 0x2c98fbba, 0x88054677, 0x2c816c0c, 0x87fc870f, 0x2c69daa6, 0x87f3cc48, - 0x2c52478a, 0x87eb1621, - 0x2c3ab2b9, 0x87e2649b, 0x2c231c33, 0x87d9b7b7, 0x2c0b83fa, 0x87d10f75, - 0x2bf3ea0d, 0x87c86bd5, - 0x2bdc4e6f, 0x87bfccd7, 0x2bc4b120, 0x87b7327d, 0x2bad1221, 0x87ae9cc5, - 0x2b957173, 0x87a60bb1, - 0x2b7dcf17, 0x879d7f41, 0x2b662b0e, 0x8794f774, 0x2b4e8558, 0x878c744d, - 0x2b36ddf7, 0x8783f5ca, - 0x2b1f34eb, 0x877b7bec, 0x2b078a36, 0x877306b4, 0x2aefddd8, 0x876a9621, - 0x2ad82fd2, 0x87622a35, - 0x2ac08026, 0x8759c2ef, 0x2aa8ced3, 0x87516050, 0x2a911bdc, 0x87490258, - 0x2a796740, 0x8740a907, - 0x2a61b101, 0x8738545e, 0x2a49f920, 0x8730045d, 0x2a323f9e, 0x8727b905, - 0x2a1a847b, 0x871f7255, - 0x2a02c7b8, 0x8717304e, 0x29eb0957, 0x870ef2f1, 0x29d34958, 0x8706ba3d, - 0x29bb87bc, 0x86fe8633, - 0x29a3c485, 0x86f656d3, 0x298bffb2, 0x86ee2c1e, 0x29743946, 0x86e60614, - 0x295c7140, 0x86dde4b5, - 0x2944a7a2, 0x86d5c802, 0x292cdc6d, 0x86cdaffa, 0x29150fa1, 0x86c59c9f, - 0x28fd4140, 0x86bd8df0, - 0x28e5714b, 0x86b583ee, 0x28cd9fc1, 0x86ad7e99, 0x28b5cca5, 0x86a57df2, - 0x289df7f8, 0x869d81f8, - 0x288621b9, 0x86958aac, 0x286e49ea, 0x868d980e, 0x2856708d, 0x8685aa20, - 0x283e95a1, 0x867dc0e0, - 0x2826b928, 0x8675dc4f, 0x280edb23, 0x866dfc6e, 0x27f6fb92, 0x8666213c, - 0x27df1a77, 0x865e4abb, - 0x27c737d3, 0x865678eb, 0x27af53a6, 0x864eabcb, 0x27976df1, 0x8646e35c, - 0x277f86b5, 0x863f1f9e, - 0x27679df4, 0x86376092, 0x274fb3ae, 0x862fa638, 0x2737c7e3, 0x8627f091, - 0x271fda96, 0x86203f9c, - 0x2707ebc7, 0x86189359, 0x26effb76, 0x8610ebca, 0x26d809a5, 0x860948ef, - 0x26c01655, 0x8601aac7, - 0x26a82186, 0x85fa1153, 0x26902b39, 0x85f27c93, 0x26783370, 0x85eaec88, - 0x26603a2c, 0x85e36132, - 0x26483f6c, 0x85dbda91, 0x26304333, 0x85d458a6, 0x26184581, 0x85ccdb70, - 0x26004657, 0x85c562f1, - 0x25e845b6, 0x85bdef28, 0x25d0439f, 0x85b68015, 0x25b84012, 0x85af15b9, - 0x25a03b11, 0x85a7b015, - 0x2588349d, 0x85a04f28, 0x25702cb7, 0x8598f2f3, 0x2558235f, 0x85919b76, - 0x25401896, 0x858a48b1, - 0x25280c5e, 0x8582faa5, 0x250ffeb7, 0x857bb152, 0x24f7efa2, 0x85746cb8, - 0x24dfdf20, 0x856d2cd7, - 0x24c7cd33, 0x8565f1b0, 0x24afb9da, 0x855ebb44, 0x2497a517, 0x85578991, - 0x247f8eec, 0x85505c99, - 0x24677758, 0x8549345c, 0x244f5e5c, 0x854210db, 0x243743fa, 0x853af214, - 0x241f2833, 0x8533d809, - 0x24070b08, 0x852cc2bb, 0x23eeec78, 0x8525b228, 0x23d6cc87, 0x851ea652, - 0x23beab33, 0x85179f39, - 0x23a6887f, 0x85109cdd, 0x238e646a, 0x85099f3e, 0x23763ef7, 0x8502a65c, - 0x235e1826, 0x84fbb239, - 0x2345eff8, 0x84f4c2d4, 0x232dc66d, 0x84edd82d, 0x23159b88, 0x84e6f244, - 0x22fd6f48, 0x84e0111b, - 0x22e541af, 0x84d934b1, 0x22cd12bd, 0x84d25d06, 0x22b4e274, 0x84cb8a1b, - 0x229cb0d5, 0x84c4bbf0, - 0x22847de0, 0x84bdf286, 0x226c4996, 0x84b72ddb, 0x225413f8, 0x84b06df2, - 0x223bdd08, 0x84a9b2ca, - 0x2223a4c5, 0x84a2fc62, 0x220b6b32, 0x849c4abd, 0x21f3304f, 0x84959dd9, - 0x21daf41d, 0x848ef5b7, - 0x21c2b69c, 0x84885258, 0x21aa77cf, 0x8481b3bb, 0x219237b5, 0x847b19e1, - 0x2179f64f, 0x847484ca, - 0x2161b3a0, 0x846df477, 0x21496fa7, 0x846768e7, 0x21312a65, 0x8460e21a, - 0x2118e3dc, 0x845a6012, - 0x21009c0c, 0x8453e2cf, 0x20e852f6, 0x844d6a50, 0x20d0089c, 0x8446f695, - 0x20b7bcfe, 0x844087a0, - 0x209f701c, 0x843a1d70, 0x208721f9, 0x8433b806, 0x206ed295, 0x842d5762, - 0x205681f1, 0x8426fb84, - 0x203e300d, 0x8420a46c, 0x2025dcec, 0x841a521a, 0x200d888d, 0x84140490, - 0x1ff532f2, 0x840dbbcc, - 0x1fdcdc1b, 0x840777d0, 0x1fc4840a, 0x8401389b, 0x1fac2abf, 0x83fafe2e, - 0x1f93d03c, 0x83f4c889, - 0x1f7b7481, 0x83ee97ad, 0x1f63178f, 0x83e86b99, 0x1f4ab968, 0x83e2444d, - 0x1f325a0b, 0x83dc21cb, - 0x1f19f97b, 0x83d60412, 0x1f0197b8, 0x83cfeb22, 0x1ee934c3, 0x83c9d6fc, - 0x1ed0d09d, 0x83c3c7a0, - 0x1eb86b46, 0x83bdbd0e, 0x1ea004c1, 0x83b7b746, 0x1e879d0d, 0x83b1b649, - 0x1e6f342c, 0x83abba17, - 0x1e56ca1e, 0x83a5c2b0, 0x1e3e5ee5, 0x839fd014, 0x1e25f282, 0x8399e244, - 0x1e0d84f5, 0x8393f940, - 0x1df5163f, 0x838e1507, 0x1ddca662, 0x8388359b, 0x1dc4355e, 0x83825afb, - 0x1dabc334, 0x837c8528, - 0x1d934fe5, 0x8376b422, 0x1d7adb73, 0x8370e7e9, 0x1d6265dd, 0x836b207d, - 0x1d49ef26, 0x83655ddf, - 0x1d31774d, 0x835fa00f, 0x1d18fe54, 0x8359e70d, 0x1d00843d, 0x835432d8, - 0x1ce80906, 0x834e8373, - 0x1ccf8cb3, 0x8348d8dc, 0x1cb70f43, 0x83433314, 0x1c9e90b8, 0x833d921b, - 0x1c861113, 0x8337f5f1, - 0x1c6d9053, 0x83325e97, 0x1c550e7c, 0x832ccc0d, 0x1c3c8b8c, 0x83273e52, - 0x1c240786, 0x8321b568, - 0x1c0b826a, 0x831c314e, 0x1bf2fc3a, 0x8316b205, 0x1bda74f6, 0x8311378d, - 0x1bc1ec9e, 0x830bc1e6, - 0x1ba96335, 0x83065110, 0x1b90d8bb, 0x8300e50b, 0x1b784d30, 0x82fb7dd8, - 0x1b5fc097, 0x82f61b77, - 0x1b4732ef, 0x82f0bde8, 0x1b2ea43a, 0x82eb652b, 0x1b161479, 0x82e61141, - 0x1afd83ad, 0x82e0c22a, - 0x1ae4f1d6, 0x82db77e5, 0x1acc5ef6, 0x82d63274, 0x1ab3cb0d, 0x82d0f1d5, - 0x1a9b361d, 0x82cbb60b, - 0x1a82a026, 0x82c67f14, 0x1a6a0929, 0x82c14cf1, 0x1a517128, 0x82bc1fa2, - 0x1a38d823, 0x82b6f727, - 0x1a203e1b, 0x82b1d381, 0x1a07a311, 0x82acb4b0, 0x19ef0707, 0x82a79ab3, - 0x19d669fc, 0x82a2858c, - 0x19bdcbf3, 0x829d753a, 0x19a52ceb, 0x829869be, 0x198c8ce7, 0x82936317, - 0x1973ebe6, 0x828e6146, - 0x195b49ea, 0x8289644b, 0x1942a6f3, 0x82846c26, 0x192a0304, 0x827f78d8, - 0x19115e1c, 0x827a8a61, - 0x18f8b83c, 0x8275a0c0, 0x18e01167, 0x8270bbf7, 0x18c7699b, 0x826bdc04, - 0x18aec0db, 0x826700e9, - 0x18961728, 0x82622aa6, 0x187d6c82, 0x825d593a, 0x1864c0ea, 0x82588ca7, - 0x184c1461, 0x8253c4eb, - 0x183366e9, 0x824f0208, 0x181ab881, 0x824a43fe, 0x1802092c, 0x82458acc, - 0x17e958ea, 0x8240d673, - 0x17d0a7bc, 0x823c26f3, 0x17b7f5a3, 0x82377c4c, 0x179f429f, 0x8232d67f, - 0x17868eb3, 0x822e358b, - 0x176dd9de, 0x82299971, 0x17552422, 0x82250232, 0x173c6d80, 0x82206fcc, - 0x1723b5f9, 0x821be240, - 0x170afd8d, 0x82175990, 0x16f2443e, 0x8212d5b9, 0x16d98a0c, 0x820e56be, - 0x16c0cef9, 0x8209dc9e, - 0x16a81305, 0x82056758, 0x168f5632, 0x8200f6ef, 0x1676987f, 0x81fc8b60, - 0x165dd9f0, 0x81f824ae, - 0x16451a83, 0x81f3c2d7, 0x162c5a3b, 0x81ef65dc, 0x16139918, 0x81eb0dbe, - 0x15fad71b, 0x81e6ba7c, - 0x15e21445, 0x81e26c16, 0x15c95097, 0x81de228d, 0x15b08c12, 0x81d9dde1, - 0x1597c6b7, 0x81d59e13, - 0x157f0086, 0x81d16321, 0x15663982, 0x81cd2d0c, 0x154d71aa, 0x81c8fbd6, - 0x1534a901, 0x81c4cf7d, - 0x151bdf86, 0x81c0a801, 0x1503153a, 0x81bc8564, 0x14ea4a1f, 0x81b867a5, - 0x14d17e36, 0x81b44ec4, - 0x14b8b17f, 0x81b03ac2, 0x149fe3fc, 0x81ac2b9e, 0x148715ae, 0x81a82159, - 0x146e4694, 0x81a41bf4, - 0x145576b1, 0x81a01b6d, 0x143ca605, 0x819c1fc5, 0x1423d492, 0x819828fd, - 0x140b0258, 0x81943715, - 0x13f22f58, 0x81904a0c, 0x13d95b93, 0x818c61e3, 0x13c0870a, 0x81887e9a, - 0x13a7b1bf, 0x8184a032, - 0x138edbb1, 0x8180c6a9, 0x137604e2, 0x817cf201, 0x135d2d53, 0x8179223a, - 0x13445505, 0x81755754, - 0x132b7bf9, 0x8171914e, 0x1312a230, 0x816dd02a, 0x12f9c7aa, 0x816a13e6, - 0x12e0ec6a, 0x81665c84, - 0x12c8106f, 0x8162aa04, 0x12af33ba, 0x815efc65, 0x1296564d, 0x815b53a8, - 0x127d7829, 0x8157afcd, - 0x1264994e, 0x815410d4, 0x124bb9be, 0x815076bd, 0x1232d979, 0x814ce188, - 0x1219f880, 0x81495136, - 0x120116d5, 0x8145c5c7, 0x11e83478, 0x81423f3a, 0x11cf516a, 0x813ebd90, - 0x11b66dad, 0x813b40ca, - 0x119d8941, 0x8137c8e6, 0x1184a427, 0x813455e6, 0x116bbe60, 0x8130e7c9, - 0x1152d7ed, 0x812d7e8f, - 0x1139f0cf, 0x812a1a3a, 0x11210907, 0x8126bac8, 0x11082096, 0x8123603a, - 0x10ef377d, 0x81200a90, - 0x10d64dbd, 0x811cb9ca, 0x10bd6356, 0x81196de9, 0x10a4784b, 0x811626ec, - 0x108b8c9b, 0x8112e4d4, - 0x1072a048, 0x810fa7a0, 0x1059b352, 0x810c6f52, 0x1040c5bb, 0x81093be8, - 0x1027d784, 0x81060d63, - 0x100ee8ad, 0x8102e3c4, 0xff5f938, 0x80ffbf0a, 0xfdd0926, 0x80fc9f35, - 0xfc41876, 0x80f98446, - 0xfab272b, 0x80f66e3c, 0xf923546, 0x80f35d19, 0xf7942c7, 0x80f050db, - 0xf604faf, 0x80ed4984, - 0xf475bff, 0x80ea4712, 0xf2e67b8, 0x80e74987, 0xf1572dc, 0x80e450e2, - 0xefc7d6b, 0x80e15d24, - 0xee38766, 0x80de6e4c, 0xeca90ce, 0x80db845b, 0xeb199a4, 0x80d89f51, - 0xe98a1e9, 0x80d5bf2e, - 0xe7fa99e, 0x80d2e3f2, 0xe66b0c3, 0x80d00d9d, 0xe4db75b, 0x80cd3c2f, - 0xe34bd66, 0x80ca6fa9, - 0xe1bc2e4, 0x80c7a80a, 0xe02c7d7, 0x80c4e553, 0xde9cc40, 0x80c22784, - 0xdd0d01f, 0x80bf6e9c, - 0xdb7d376, 0x80bcba9d, 0xd9ed646, 0x80ba0b85, 0xd85d88f, 0x80b76156, - 0xd6cda53, 0x80b4bc0e, - 0xd53db92, 0x80b21baf, 0xd3adc4e, 0x80af8039, 0xd21dc87, 0x80ace9ab, - 0xd08dc3f, 0x80aa5806, - 0xcefdb76, 0x80a7cb49, 0xcd6da2d, 0x80a54376, 0xcbdd865, 0x80a2c08b, - 0xca4d620, 0x80a04289, - 0xc8bd35e, 0x809dc971, 0xc72d020, 0x809b5541, 0xc59cc68, 0x8098e5fb, - 0xc40c835, 0x80967b9f, - 0xc27c389, 0x8094162c, 0xc0ebe66, 0x8091b5a2, 0xbf5b8cb, 0x808f5a02, - 0xbdcb2bb, 0x808d034c, - 0xbc3ac35, 0x808ab180, 0xbaaa53b, 0x8088649e, 0xb919dcf, 0x80861ca6, - 0xb7895f0, 0x8083d998, - 0xb5f8d9f, 0x80819b74, 0xb4684df, 0x807f623b, 0xb2d7baf, 0x807d2dec, - 0xb147211, 0x807afe87, - 0xafb6805, 0x8078d40d, 0xae25d8d, 0x8076ae7e, 0xac952aa, 0x80748dd9, - 0xab0475c, 0x8072721f, - 0xa973ba5, 0x80705b50, 0xa7e2f85, 0x806e496c, 0xa6522fe, 0x806c3c74, - 0xa4c1610, 0x806a3466, - 0xa3308bd, 0x80683143, 0xa19fb04, 0x8066330c, 0xa00ece8, 0x806439c0, - 0x9e7de6a, 0x80624560, - 0x9cecf89, 0x806055eb, 0x9b5c048, 0x805e6b62, 0x99cb0a7, 0x805c85c4, - 0x983a0a7, 0x805aa512, - 0x96a9049, 0x8058c94c, 0x9517f8f, 0x8056f272, 0x9386e78, 0x80552084, - 0x91f5d06, 0x80535381, - 0x9064b3a, 0x80518b6b, 0x8ed3916, 0x804fc841, 0x8d42699, 0x804e0a04, - 0x8bb13c5, 0x804c50b2, - 0x8a2009a, 0x804a9c4d, 0x888ed1b, 0x8048ecd5, 0x86fd947, 0x80474248, - 0x856c520, 0x80459ca9, - 0x83db0a7, 0x8043fbf6, 0x8249bdd, 0x80426030, 0x80b86c2, 0x8040c956, - 0x7f27157, 0x803f376a, - 0x7d95b9e, 0x803daa6a, 0x7c04598, 0x803c2257, 0x7a72f45, 0x803a9f31, - 0x78e18a7, 0x803920f8, - 0x77501be, 0x8037a7ac, 0x75bea8c, 0x8036334e, 0x742d311, 0x8034c3dd, - 0x729bb4e, 0x80335959, - 0x710a345, 0x8031f3c2, 0x6f78af6, 0x80309318, 0x6de7262, 0x802f375d, - 0x6c5598a, 0x802de08e, - 0x6ac406f, 0x802c8ead, 0x6932713, 0x802b41ba, 0x67a0d76, 0x8029f9b4, - 0x660f398, 0x8028b69c, - 0x647d97c, 0x80277872, 0x62ebf22, 0x80263f36, 0x615a48b, 0x80250ae7, - 0x5fc89b8, 0x8023db86, - 0x5e36ea9, 0x8022b114, 0x5ca5361, 0x80218b8f, 0x5b137df, 0x80206af8, - 0x5981c26, 0x801f4f4f, - 0x57f0035, 0x801e3895, 0x565e40d, 0x801d26c8, 0x54cc7b1, 0x801c19ea, - 0x533ab20, 0x801b11fa, - 0x51a8e5c, 0x801a0ef8, 0x5017165, 0x801910e4, 0x4e8543e, 0x801817bf, - 0x4cf36e5, 0x80172388, - 0x4b6195d, 0x80163440, 0x49cfba7, 0x801549e6, 0x483ddc3, 0x8014647b, - 0x46abfb3, 0x801383fe, - 0x451a177, 0x8012a86f, 0x4388310, 0x8011d1d0, 0x41f6480, 0x8011001f, - 0x40645c7, 0x8010335c, - 0x3ed26e6, 0x800f6b88, 0x3d407df, 0x800ea8a3, 0x3bae8b2, 0x800deaad, - 0x3a1c960, 0x800d31a5, - 0x388a9ea, 0x800c7d8c, 0x36f8a51, 0x800bce63, 0x3566a96, 0x800b2427, - 0x33d4abb, 0x800a7edb, - 0x3242abf, 0x8009de7e, 0x30b0aa4, 0x80094310, 0x2f1ea6c, 0x8008ac90, - 0x2d8ca16, 0x80081b00, - 0x2bfa9a4, 0x80078e5e, 0x2a68917, 0x800706ac, 0x28d6870, 0x800683e8, - 0x27447b0, 0x80060614, - 0x25b26d7, 0x80058d2f, 0x24205e8, 0x80051939, 0x228e4e2, 0x8004aa32, - 0x20fc3c6, 0x8004401a, - 0x1f6a297, 0x8003daf1, 0x1dd8154, 0x80037ab7, 0x1c45ffe, 0x80031f6d, - 0x1ab3e97, 0x8002c912, - 0x1921d20, 0x800277a6, 0x178fb99, 0x80022b29, 0x15fda03, 0x8001e39b, - 0x146b860, 0x8001a0fd, - 0x12d96b1, 0x8001634e, 0x11474f6, 0x80012a8e, 0xfb5330, 0x8000f6bd, - 0xe23160, 0x8000c7dc, - 0xc90f88, 0x80009dea, 0xafeda8, 0x800078e7, 0x96cbc1, 0x800058d4, 0x7da9d4, - 0x80003daf, - 0x6487e3, 0x8000277a, 0x4b65ee, 0x80001635, 0x3243f5, 0x800009df, 0x1921fb, - 0x80000278, -}; - -static const q31_t WeightsQ31_8192[16384] = { - 0x7fffffff, 0x0, 0x7fffffd9, 0xfff9b781, 0x7fffff62, 0xfff36f02, 0x7ffffe9d, - 0xffed2684, - 0x7ffffd88, 0xffe6de05, 0x7ffffc25, 0xffe09586, 0x7ffffa73, 0xffda4d08, - 0x7ffff872, 0xffd40489, - 0x7ffff621, 0xffcdbc0b, 0x7ffff382, 0xffc7738c, 0x7ffff094, 0xffc12b0e, - 0x7fffed57, 0xffbae290, - 0x7fffe9cb, 0xffb49a12, 0x7fffe5f0, 0xffae5195, 0x7fffe1c6, 0xffa80917, - 0x7fffdd4d, 0xffa1c09a, - 0x7fffd886, 0xff9b781d, 0x7fffd36f, 0xff952fa0, 0x7fffce09, 0xff8ee724, - 0x7fffc854, 0xff889ea7, - 0x7fffc251, 0xff82562c, 0x7fffbbfe, 0xff7c0db0, 0x7fffb55c, 0xff75c535, - 0x7fffae6c, 0xff6f7cba, - 0x7fffa72c, 0xff69343f, 0x7fff9f9e, 0xff62ebc5, 0x7fff97c1, 0xff5ca34b, - 0x7fff8f94, 0xff565ad1, - 0x7fff8719, 0xff501258, 0x7fff7e4f, 0xff49c9df, 0x7fff7536, 0xff438167, - 0x7fff6bcd, 0xff3d38ef, - 0x7fff6216, 0xff36f078, 0x7fff5810, 0xff30a801, 0x7fff4dbb, 0xff2a5f8b, - 0x7fff4317, 0xff241715, - 0x7fff3824, 0xff1dcea0, 0x7fff2ce2, 0xff17862b, 0x7fff2151, 0xff113db7, - 0x7fff1572, 0xff0af543, - 0x7fff0943, 0xff04acd0, 0x7ffefcc5, 0xfefe645e, 0x7ffeeff8, 0xfef81bec, - 0x7ffee2dd, 0xfef1d37b, - 0x7ffed572, 0xfeeb8b0a, 0x7ffec7b9, 0xfee5429a, 0x7ffeb9b0, 0xfedefa2b, - 0x7ffeab59, 0xfed8b1bd, - 0x7ffe9cb2, 0xfed2694f, 0x7ffe8dbd, 0xfecc20e2, 0x7ffe7e79, 0xfec5d876, - 0x7ffe6ee5, 0xfebf900a, - 0x7ffe5f03, 0xfeb947a0, 0x7ffe4ed2, 0xfeb2ff36, 0x7ffe3e52, 0xfeacb6cc, - 0x7ffe2d83, 0xfea66e64, - 0x7ffe1c65, 0xfea025fd, 0x7ffe0af8, 0xfe99dd96, 0x7ffdf93c, 0xfe939530, - 0x7ffde731, 0xfe8d4ccb, - 0x7ffdd4d7, 0xfe870467, 0x7ffdc22e, 0xfe80bc04, 0x7ffdaf37, 0xfe7a73a2, - 0x7ffd9bf0, 0xfe742b41, - 0x7ffd885a, 0xfe6de2e0, 0x7ffd7476, 0xfe679a81, 0x7ffd6042, 0xfe615223, - 0x7ffd4bc0, 0xfe5b09c5, - 0x7ffd36ee, 0xfe54c169, 0x7ffd21ce, 0xfe4e790d, 0x7ffd0c5f, 0xfe4830b3, - 0x7ffcf6a0, 0xfe41e85a, - 0x7ffce093, 0xfe3ba002, 0x7ffcca37, 0xfe3557ab, 0x7ffcb38c, 0xfe2f0f55, - 0x7ffc9c92, 0xfe28c700, - 0x7ffc8549, 0xfe227eac, 0x7ffc6db1, 0xfe1c365a, 0x7ffc55ca, 0xfe15ee09, - 0x7ffc3d94, 0xfe0fa5b8, - 0x7ffc250f, 0xfe095d69, 0x7ffc0c3b, 0xfe03151c, 0x7ffbf319, 0xfdfccccf, - 0x7ffbd9a7, 0xfdf68484, - 0x7ffbbfe6, 0xfdf03c3a, 0x7ffba5d7, 0xfde9f3f1, 0x7ffb8b78, 0xfde3aba9, - 0x7ffb70cb, 0xfddd6363, - 0x7ffb55ce, 0xfdd71b1e, 0x7ffb3a83, 0xfdd0d2db, 0x7ffb1ee9, 0xfdca8a99, - 0x7ffb0300, 0xfdc44258, - 0x7ffae6c7, 0xfdbdfa18, 0x7ffaca40, 0xfdb7b1da, 0x7ffaad6a, 0xfdb1699e, - 0x7ffa9045, 0xfdab2162, - 0x7ffa72d1, 0xfda4d929, 0x7ffa550e, 0xfd9e90f0, 0x7ffa36fc, 0xfd9848b9, - 0x7ffa189c, 0xfd920084, - 0x7ff9f9ec, 0xfd8bb850, 0x7ff9daed, 0xfd85701e, 0x7ff9bba0, 0xfd7f27ed, - 0x7ff99c03, 0xfd78dfbd, - 0x7ff97c18, 0xfd729790, 0x7ff95bdd, 0xfd6c4f64, 0x7ff93b54, 0xfd660739, - 0x7ff91a7b, 0xfd5fbf10, - 0x7ff8f954, 0xfd5976e9, 0x7ff8d7de, 0xfd532ec3, 0x7ff8b619, 0xfd4ce69f, - 0x7ff89405, 0xfd469e7c, - 0x7ff871a2, 0xfd40565c, 0x7ff84ef0, 0xfd3a0e3d, 0x7ff82bef, 0xfd33c61f, - 0x7ff8089f, 0xfd2d7e04, - 0x7ff7e500, 0xfd2735ea, 0x7ff7c113, 0xfd20edd2, 0x7ff79cd6, 0xfd1aa5bc, - 0x7ff7784a, 0xfd145da7, - 0x7ff75370, 0xfd0e1594, 0x7ff72e46, 0xfd07cd83, 0x7ff708ce, 0xfd018574, - 0x7ff6e307, 0xfcfb3d67, - 0x7ff6bcf0, 0xfcf4f55c, 0x7ff6968b, 0xfceead52, 0x7ff66fd7, 0xfce8654b, - 0x7ff648d4, 0xfce21d45, - 0x7ff62182, 0xfcdbd541, 0x7ff5f9e1, 0xfcd58d3f, 0x7ff5d1f1, 0xfccf453f, - 0x7ff5a9b2, 0xfcc8fd41, - 0x7ff58125, 0xfcc2b545, 0x7ff55848, 0xfcbc6d4c, 0x7ff52f1d, 0xfcb62554, - 0x7ff505a2, 0xfcafdd5e, - 0x7ff4dbd9, 0xfca9956a, 0x7ff4b1c0, 0xfca34d78, 0x7ff48759, 0xfc9d0588, - 0x7ff45ca3, 0xfc96bd9b, - 0x7ff4319d, 0xfc9075af, 0x7ff40649, 0xfc8a2dc6, 0x7ff3daa6, 0xfc83e5de, - 0x7ff3aeb4, 0xfc7d9df9, - 0x7ff38274, 0xfc775616, 0x7ff355e4, 0xfc710e36, 0x7ff32905, 0xfc6ac657, - 0x7ff2fbd7, 0xfc647e7b, - 0x7ff2ce5b, 0xfc5e36a0, 0x7ff2a08f, 0xfc57eec9, 0x7ff27275, 0xfc51a6f3, - 0x7ff2440b, 0xfc4b5f20, - 0x7ff21553, 0xfc45174e, 0x7ff1e64c, 0xfc3ecf80, 0x7ff1b6f6, 0xfc3887b3, - 0x7ff18751, 0xfc323fe9, - 0x7ff1575d, 0xfc2bf821, 0x7ff1271a, 0xfc25b05c, 0x7ff0f688, 0xfc1f6899, - 0x7ff0c5a7, 0xfc1920d8, - 0x7ff09478, 0xfc12d91a, 0x7ff062f9, 0xfc0c915e, 0x7ff0312c, 0xfc0649a5, - 0x7fefff0f, 0xfc0001ee, - 0x7fefcca4, 0xfbf9ba39, 0x7fef99ea, 0xfbf37287, 0x7fef66e1, 0xfbed2ad8, - 0x7fef3388, 0xfbe6e32b, - 0x7feeffe1, 0xfbe09b80, 0x7feecbec, 0xfbda53d8, 0x7fee97a7, 0xfbd40c33, - 0x7fee6313, 0xfbcdc490, - 0x7fee2e30, 0xfbc77cf0, 0x7fedf8ff, 0xfbc13552, 0x7fedc37e, 0xfbbaedb7, - 0x7fed8daf, 0xfbb4a61f, - 0x7fed5791, 0xfbae5e89, 0x7fed2123, 0xfba816f6, 0x7fecea67, 0xfba1cf66, - 0x7fecb35c, 0xfb9b87d8, - 0x7fec7c02, 0xfb95404d, 0x7fec4459, 0xfb8ef8c5, 0x7fec0c62, 0xfb88b13f, - 0x7febd41b, 0xfb8269bd, - 0x7feb9b85, 0xfb7c223d, 0x7feb62a1, 0xfb75dac0, 0x7feb296d, 0xfb6f9345, - 0x7feaefeb, 0xfb694bce, - 0x7feab61a, 0xfb630459, 0x7fea7bfa, 0xfb5cbce7, 0x7fea418b, 0xfb567578, - 0x7fea06cd, 0xfb502e0c, - 0x7fe9cbc0, 0xfb49e6a3, 0x7fe99064, 0xfb439f3c, 0x7fe954ba, 0xfb3d57d9, - 0x7fe918c0, 0xfb371078, - 0x7fe8dc78, 0xfb30c91b, 0x7fe89fe0, 0xfb2a81c0, 0x7fe862fa, 0xfb243a69, - 0x7fe825c5, 0xfb1df314, - 0x7fe7e841, 0xfb17abc2, 0x7fe7aa6e, 0xfb116474, 0x7fe76c4c, 0xfb0b1d28, - 0x7fe72ddb, 0xfb04d5e0, - 0x7fe6ef1c, 0xfafe8e9b, 0x7fe6b00d, 0xfaf84758, 0x7fe670b0, 0xfaf20019, - 0x7fe63103, 0xfaebb8dd, - 0x7fe5f108, 0xfae571a4, 0x7fe5b0be, 0xfadf2a6e, 0x7fe57025, 0xfad8e33c, - 0x7fe52f3d, 0xfad29c0c, - 0x7fe4ee06, 0xfacc54e0, 0x7fe4ac81, 0xfac60db7, 0x7fe46aac, 0xfabfc691, - 0x7fe42889, 0xfab97f6e, - 0x7fe3e616, 0xfab3384f, 0x7fe3a355, 0xfaacf133, 0x7fe36045, 0xfaa6aa1a, - 0x7fe31ce6, 0xfaa06305, - 0x7fe2d938, 0xfa9a1bf3, 0x7fe2953b, 0xfa93d4e4, 0x7fe250ef, 0xfa8d8dd8, - 0x7fe20c55, 0xfa8746d0, - 0x7fe1c76b, 0xfa80ffcb, 0x7fe18233, 0xfa7ab8ca, 0x7fe13cac, 0xfa7471cc, - 0x7fe0f6d6, 0xfa6e2ad1, - 0x7fe0b0b1, 0xfa67e3da, 0x7fe06a3d, 0xfa619ce7, 0x7fe0237a, 0xfa5b55f7, - 0x7fdfdc69, 0xfa550f0a, - 0x7fdf9508, 0xfa4ec821, 0x7fdf4d59, 0xfa48813b, 0x7fdf055a, 0xfa423a59, - 0x7fdebd0d, 0xfa3bf37a, - 0x7fde7471, 0xfa35ac9f, 0x7fde2b86, 0xfa2f65c8, 0x7fdde24d, 0xfa291ef4, - 0x7fdd98c4, 0xfa22d823, - 0x7fdd4eec, 0xfa1c9157, 0x7fdd04c6, 0xfa164a8e, 0x7fdcba51, 0xfa1003c8, - 0x7fdc6f8d, 0xfa09bd06, - 0x7fdc247a, 0xfa037648, 0x7fdbd918, 0xf9fd2f8e, 0x7fdb8d67, 0xf9f6e8d7, - 0x7fdb4167, 0xf9f0a224, - 0x7fdaf519, 0xf9ea5b75, 0x7fdaa87c, 0xf9e414ca, 0x7fda5b8f, 0xf9ddce22, - 0x7fda0e54, 0xf9d7877e, - 0x7fd9c0ca, 0xf9d140de, 0x7fd972f2, 0xf9cafa42, 0x7fd924ca, 0xf9c4b3a9, - 0x7fd8d653, 0xf9be6d15, - 0x7fd8878e, 0xf9b82684, 0x7fd8387a, 0xf9b1dff7, 0x7fd7e917, 0xf9ab996e, - 0x7fd79965, 0xf9a552e9, - 0x7fd74964, 0xf99f0c68, 0x7fd6f914, 0xf998c5ea, 0x7fd6a875, 0xf9927f71, - 0x7fd65788, 0xf98c38fc, - 0x7fd6064c, 0xf985f28a, 0x7fd5b4c1, 0xf97fac1d, 0x7fd562e7, 0xf97965b4, - 0x7fd510be, 0xf9731f4e, - 0x7fd4be46, 0xf96cd8ed, 0x7fd46b80, 0xf9669290, 0x7fd4186a, 0xf9604c37, - 0x7fd3c506, 0xf95a05e2, - 0x7fd37153, 0xf953bf91, 0x7fd31d51, 0xf94d7944, 0x7fd2c900, 0xf94732fb, - 0x7fd27460, 0xf940ecb7, - 0x7fd21f72, 0xf93aa676, 0x7fd1ca35, 0xf934603a, 0x7fd174a8, 0xf92e1a02, - 0x7fd11ecd, 0xf927d3ce, - 0x7fd0c8a3, 0xf9218d9e, 0x7fd0722b, 0xf91b4773, 0x7fd01b63, 0xf915014c, - 0x7fcfc44d, 0xf90ebb29, - 0x7fcf6ce8, 0xf908750a, 0x7fcf1533, 0xf9022ef0, 0x7fcebd31, 0xf8fbe8da, - 0x7fce64df, 0xf8f5a2c9, - 0x7fce0c3e, 0xf8ef5cbb, 0x7fcdb34f, 0xf8e916b2, 0x7fcd5a11, 0xf8e2d0ae, - 0x7fcd0083, 0xf8dc8aae, - 0x7fcca6a7, 0xf8d644b2, 0x7fcc4c7d, 0xf8cffebb, 0x7fcbf203, 0xf8c9b8c8, - 0x7fcb973b, 0xf8c372d9, - 0x7fcb3c23, 0xf8bd2cef, 0x7fcae0bd, 0xf8b6e70a, 0x7fca8508, 0xf8b0a129, - 0x7fca2905, 0xf8aa5b4c, - 0x7fc9ccb2, 0xf8a41574, 0x7fc97011, 0xf89dcfa1, 0x7fc91320, 0xf89789d2, - 0x7fc8b5e1, 0xf8914407, - 0x7fc85854, 0xf88afe42, 0x7fc7fa77, 0xf884b880, 0x7fc79c4b, 0xf87e72c4, - 0x7fc73dd1, 0xf8782d0c, - 0x7fc6df08, 0xf871e759, 0x7fc67ff0, 0xf86ba1aa, 0x7fc62089, 0xf8655c00, - 0x7fc5c0d3, 0xf85f165b, - 0x7fc560cf, 0xf858d0bb, 0x7fc5007c, 0xf8528b1f, 0x7fc49fda, 0xf84c4588, - 0x7fc43ee9, 0xf845fff5, - 0x7fc3dda9, 0xf83fba68, 0x7fc37c1b, 0xf83974df, 0x7fc31a3d, 0xf8332f5b, - 0x7fc2b811, 0xf82ce9dc, - 0x7fc25596, 0xf826a462, 0x7fc1f2cc, 0xf8205eec, 0x7fc18fb4, 0xf81a197b, - 0x7fc12c4d, 0xf813d410, - 0x7fc0c896, 0xf80d8ea9, 0x7fc06491, 0xf8074947, 0x7fc0003e, 0xf80103ea, - 0x7fbf9b9b, 0xf7fabe92, - 0x7fbf36aa, 0xf7f4793e, 0x7fbed16a, 0xf7ee33f0, 0x7fbe6bdb, 0xf7e7eea7, - 0x7fbe05fd, 0xf7e1a963, - 0x7fbd9fd0, 0xf7db6423, 0x7fbd3955, 0xf7d51ee9, 0x7fbcd28b, 0xf7ced9b4, - 0x7fbc6b72, 0xf7c89484, - 0x7fbc040a, 0xf7c24f59, 0x7fbb9c53, 0xf7bc0a33, 0x7fbb344e, 0xf7b5c512, - 0x7fbacbfa, 0xf7af7ff6, - 0x7fba6357, 0xf7a93ae0, 0x7fb9fa65, 0xf7a2f5ce, 0x7fb99125, 0xf79cb0c2, - 0x7fb92796, 0xf7966bbb, - 0x7fb8bdb8, 0xf79026b9, 0x7fb8538b, 0xf789e1bc, 0x7fb7e90f, 0xf7839cc4, - 0x7fb77e45, 0xf77d57d2, - 0x7fb7132b, 0xf77712e5, 0x7fb6a7c3, 0xf770cdfd, 0x7fb63c0d, 0xf76a891b, - 0x7fb5d007, 0xf764443d, - 0x7fb563b3, 0xf75dff66, 0x7fb4f710, 0xf757ba93, 0x7fb48a1e, 0xf75175c6, - 0x7fb41cdd, 0xf74b30fe, - 0x7fb3af4e, 0xf744ec3b, 0x7fb34170, 0xf73ea77e, 0x7fb2d343, 0xf73862c6, - 0x7fb264c7, 0xf7321e14, - 0x7fb1f5fc, 0xf72bd967, 0x7fb186e3, 0xf72594c0, 0x7fb1177b, 0xf71f501e, - 0x7fb0a7c4, 0xf7190b81, - 0x7fb037bf, 0xf712c6ea, 0x7fafc76a, 0xf70c8259, 0x7faf56c7, 0xf7063dcd, - 0x7faee5d5, 0xf6fff946, - 0x7fae7495, 0xf6f9b4c6, 0x7fae0305, 0xf6f3704a, 0x7fad9127, 0xf6ed2bd4, - 0x7fad1efa, 0xf6e6e764, - 0x7facac7f, 0xf6e0a2fa, 0x7fac39b4, 0xf6da5e95, 0x7fabc69b, 0xf6d41a36, - 0x7fab5333, 0xf6cdd5dc, - 0x7faadf7c, 0xf6c79188, 0x7faa6b77, 0xf6c14d3a, 0x7fa9f723, 0xf6bb08f1, - 0x7fa98280, 0xf6b4c4ae, - 0x7fa90d8e, 0xf6ae8071, 0x7fa8984e, 0xf6a83c3a, 0x7fa822bf, 0xf6a1f808, - 0x7fa7ace1, 0xf69bb3dd, - 0x7fa736b4, 0xf6956fb7, 0x7fa6c039, 0xf68f2b96, 0x7fa6496e, 0xf688e77c, - 0x7fa5d256, 0xf682a367, - 0x7fa55aee, 0xf67c5f59, 0x7fa4e338, 0xf6761b50, 0x7fa46b32, 0xf66fd74d, - 0x7fa3f2df, 0xf6699350, - 0x7fa37a3c, 0xf6634f59, 0x7fa3014b, 0xf65d0b68, 0x7fa2880b, 0xf656c77c, - 0x7fa20e7c, 0xf6508397, - 0x7fa1949e, 0xf64a3fb8, 0x7fa11a72, 0xf643fbdf, 0x7fa09ff7, 0xf63db80b, - 0x7fa0252e, 0xf637743e, - 0x7f9faa15, 0xf6313077, 0x7f9f2eae, 0xf62aecb5, 0x7f9eb2f8, 0xf624a8fa, - 0x7f9e36f4, 0xf61e6545, - 0x7f9dbaa0, 0xf6182196, 0x7f9d3dfe, 0xf611dded, 0x7f9cc10d, 0xf60b9a4b, - 0x7f9c43ce, 0xf60556ae, - 0x7f9bc640, 0xf5ff1318, 0x7f9b4863, 0xf5f8cf87, 0x7f9aca37, 0xf5f28bfd, - 0x7f9a4bbd, 0xf5ec4879, - 0x7f99ccf4, 0xf5e604fc, 0x7f994ddc, 0xf5dfc184, 0x7f98ce76, 0xf5d97e13, - 0x7f984ec1, 0xf5d33aa8, - 0x7f97cebd, 0xf5ccf743, 0x7f974e6a, 0xf5c6b3e5, 0x7f96cdc9, 0xf5c0708d, - 0x7f964cd9, 0xf5ba2d3b, - 0x7f95cb9a, 0xf5b3e9f0, 0x7f954a0d, 0xf5ada6ab, 0x7f94c831, 0xf5a7636c, - 0x7f944606, 0xf5a12034, - 0x7f93c38c, 0xf59add02, 0x7f9340c4, 0xf59499d6, 0x7f92bdad, 0xf58e56b1, - 0x7f923a48, 0xf5881393, - 0x7f91b694, 0xf581d07b, 0x7f913291, 0xf57b8d69, 0x7f90ae3f, 0xf5754a5e, - 0x7f90299f, 0xf56f0759, - 0x7f8fa4b0, 0xf568c45b, 0x7f8f1f72, 0xf5628163, 0x7f8e99e6, 0xf55c3e72, - 0x7f8e140a, 0xf555fb88, - 0x7f8d8de1, 0xf54fb8a4, 0x7f8d0768, 0xf54975c6, 0x7f8c80a1, 0xf54332ef, - 0x7f8bf98b, 0xf53cf01f, - 0x7f8b7227, 0xf536ad56, 0x7f8aea74, 0xf5306a93, 0x7f8a6272, 0xf52a27d7, - 0x7f89da21, 0xf523e521, - 0x7f895182, 0xf51da273, 0x7f88c894, 0xf5175fca, 0x7f883f58, 0xf5111d29, - 0x7f87b5cd, 0xf50ada8f, - 0x7f872bf3, 0xf50497fb, 0x7f86a1ca, 0xf4fe556e, 0x7f861753, 0xf4f812e7, - 0x7f858c8d, 0xf4f1d068, - 0x7f850179, 0xf4eb8def, 0x7f847616, 0xf4e54b7d, 0x7f83ea64, 0xf4df0912, - 0x7f835e64, 0xf4d8c6ae, - 0x7f82d214, 0xf4d28451, 0x7f824577, 0xf4cc41fb, 0x7f81b88a, 0xf4c5ffab, - 0x7f812b4f, 0xf4bfbd63, - 0x7f809dc5, 0xf4b97b21, 0x7f800fed, 0xf4b338e7, 0x7f7f81c6, 0xf4acf6b3, - 0x7f7ef350, 0xf4a6b486, - 0x7f7e648c, 0xf4a07261, 0x7f7dd579, 0xf49a3042, 0x7f7d4617, 0xf493ee2b, - 0x7f7cb667, 0xf48dac1a, - 0x7f7c2668, 0xf4876a10, 0x7f7b961b, 0xf481280e, 0x7f7b057e, 0xf47ae613, - 0x7f7a7494, 0xf474a41f, - 0x7f79e35a, 0xf46e6231, 0x7f7951d2, 0xf468204b, 0x7f78bffb, 0xf461de6d, - 0x7f782dd6, 0xf45b9c95, - 0x7f779b62, 0xf4555ac5, 0x7f77089f, 0xf44f18fb, 0x7f76758e, 0xf448d739, - 0x7f75e22e, 0xf442957e, - 0x7f754e80, 0xf43c53cb, 0x7f74ba83, 0xf436121e, 0x7f742637, 0xf42fd079, - 0x7f73919d, 0xf4298edc, - 0x7f72fcb4, 0xf4234d45, 0x7f72677c, 0xf41d0bb6, 0x7f71d1f6, 0xf416ca2e, - 0x7f713c21, 0xf41088ae, - 0x7f70a5fe, 0xf40a4735, 0x7f700f8c, 0xf40405c3, 0x7f6f78cb, 0xf3fdc459, - 0x7f6ee1bc, 0xf3f782f6, - 0x7f6e4a5e, 0xf3f1419a, 0x7f6db2b1, 0xf3eb0046, 0x7f6d1ab6, 0xf3e4bef9, - 0x7f6c826d, 0xf3de7db4, - 0x7f6be9d4, 0xf3d83c77, 0x7f6b50ed, 0xf3d1fb40, 0x7f6ab7b8, 0xf3cbba12, - 0x7f6a1e34, 0xf3c578eb, - 0x7f698461, 0xf3bf37cb, 0x7f68ea40, 0xf3b8f6b3, 0x7f684fd0, 0xf3b2b5a3, - 0x7f67b512, 0xf3ac749a, - 0x7f671a05, 0xf3a63398, 0x7f667ea9, 0xf39ff29f, 0x7f65e2ff, 0xf399b1ad, - 0x7f654706, 0xf39370c2, - 0x7f64aabf, 0xf38d2fe0, 0x7f640e29, 0xf386ef05, 0x7f637144, 0xf380ae31, - 0x7f62d411, 0xf37a6d66, - 0x7f62368f, 0xf3742ca2, 0x7f6198bf, 0xf36debe6, 0x7f60faa0, 0xf367ab31, - 0x7f605c33, 0xf3616a85, - 0x7f5fbd77, 0xf35b29e0, 0x7f5f1e6c, 0xf354e943, 0x7f5e7f13, 0xf34ea8ae, - 0x7f5ddf6b, 0xf3486820, - 0x7f5d3f75, 0xf342279b, 0x7f5c9f30, 0xf33be71d, 0x7f5bfe9d, 0xf335a6a7, - 0x7f5b5dbb, 0xf32f6639, - 0x7f5abc8a, 0xf32925d3, 0x7f5a1b0b, 0xf322e575, 0x7f59793e, 0xf31ca51f, - 0x7f58d721, 0xf31664d1, - 0x7f5834b7, 0xf310248a, 0x7f5791fd, 0xf309e44c, 0x7f56eef5, 0xf303a416, - 0x7f564b9f, 0xf2fd63e8, - 0x7f55a7fa, 0xf2f723c1, 0x7f550407, 0xf2f0e3a3, 0x7f545fc5, 0xf2eaa38d, - 0x7f53bb34, 0xf2e4637f, - 0x7f531655, 0xf2de2379, 0x7f527127, 0xf2d7e37b, 0x7f51cbab, 0xf2d1a385, - 0x7f5125e0, 0xf2cb6398, - 0x7f507fc7, 0xf2c523b2, 0x7f4fd95f, 0xf2bee3d5, 0x7f4f32a9, 0xf2b8a400, - 0x7f4e8ba4, 0xf2b26433, - 0x7f4de451, 0xf2ac246e, 0x7f4d3caf, 0xf2a5e4b1, 0x7f4c94be, 0xf29fa4fd, - 0x7f4bec7f, 0xf2996551, - 0x7f4b43f2, 0xf29325ad, 0x7f4a9b16, 0xf28ce612, 0x7f49f1eb, 0xf286a67e, - 0x7f494872, 0xf28066f4, - 0x7f489eaa, 0xf27a2771, 0x7f47f494, 0xf273e7f7, 0x7f474a30, 0xf26da885, - 0x7f469f7d, 0xf267691b, - 0x7f45f47b, 0xf26129ba, 0x7f45492b, 0xf25aea61, 0x7f449d8c, 0xf254ab11, - 0x7f43f19f, 0xf24e6bc9, - 0x7f434563, 0xf2482c8a, 0x7f4298d9, 0xf241ed53, 0x7f41ec01, 0xf23bae24, - 0x7f413ed9, 0xf2356efe, - 0x7f409164, 0xf22f2fe1, 0x7f3fe3a0, 0xf228f0cc, 0x7f3f358d, 0xf222b1c0, - 0x7f3e872c, 0xf21c72bc, - 0x7f3dd87c, 0xf21633c0, 0x7f3d297e, 0xf20ff4ce, 0x7f3c7a31, 0xf209b5e4, - 0x7f3bca96, 0xf2037702, - 0x7f3b1aad, 0xf1fd3829, 0x7f3a6a75, 0xf1f6f959, 0x7f39b9ee, 0xf1f0ba91, - 0x7f390919, 0xf1ea7bd2, - 0x7f3857f6, 0xf1e43d1c, 0x7f37a684, 0xf1ddfe6f, 0x7f36f4c3, 0xf1d7bfca, - 0x7f3642b4, 0xf1d1812e, - 0x7f359057, 0xf1cb429a, 0x7f34ddab, 0xf1c50410, 0x7f342ab1, 0xf1bec58e, - 0x7f337768, 0xf1b88715, - 0x7f32c3d1, 0xf1b248a5, 0x7f320feb, 0xf1ac0a3e, 0x7f315bb7, 0xf1a5cbdf, - 0x7f30a734, 0xf19f8d89, - 0x7f2ff263, 0xf1994f3d, 0x7f2f3d44, 0xf19310f9, 0x7f2e87d6, 0xf18cd2be, - 0x7f2dd219, 0xf186948c, - 0x7f2d1c0e, 0xf1805662, 0x7f2c65b5, 0xf17a1842, 0x7f2baf0d, 0xf173da2b, - 0x7f2af817, 0xf16d9c1d, - 0x7f2a40d2, 0xf1675e17, 0x7f29893f, 0xf161201b, 0x7f28d15d, 0xf15ae228, - 0x7f28192d, 0xf154a43d, - 0x7f2760af, 0xf14e665c, 0x7f26a7e2, 0xf1482884, 0x7f25eec7, 0xf141eab5, - 0x7f25355d, 0xf13bacef, - 0x7f247ba5, 0xf1356f32, 0x7f23c19e, 0xf12f317e, 0x7f230749, 0xf128f3d4, - 0x7f224ca6, 0xf122b632, - 0x7f2191b4, 0xf11c789a, 0x7f20d674, 0xf1163b0b, 0x7f201ae5, 0xf10ffd85, - 0x7f1f5f08, 0xf109c009, - 0x7f1ea2dc, 0xf1038295, 0x7f1de662, 0xf0fd452b, 0x7f1d299a, 0xf0f707ca, - 0x7f1c6c83, 0xf0f0ca72, - 0x7f1baf1e, 0xf0ea8d24, 0x7f1af16a, 0xf0e44fdf, 0x7f1a3368, 0xf0de12a3, - 0x7f197518, 0xf0d7d571, - 0x7f18b679, 0xf0d19848, 0x7f17f78c, 0xf0cb5b28, 0x7f173850, 0xf0c51e12, - 0x7f1678c6, 0xf0bee105, - 0x7f15b8ee, 0xf0b8a401, 0x7f14f8c7, 0xf0b26707, 0x7f143852, 0xf0ac2a16, - 0x7f13778e, 0xf0a5ed2f, - 0x7f12b67c, 0xf09fb051, 0x7f11f51c, 0xf099737d, 0x7f11336d, 0xf09336b2, - 0x7f107170, 0xf08cf9f1, - 0x7f0faf25, 0xf086bd39, 0x7f0eec8b, 0xf080808b, 0x7f0e29a3, 0xf07a43e7, - 0x7f0d666c, 0xf074074c, - 0x7f0ca2e7, 0xf06dcaba, 0x7f0bdf14, 0xf0678e32, 0x7f0b1af2, 0xf06151b4, - 0x7f0a5682, 0xf05b1540, - 0x7f0991c4, 0xf054d8d5, 0x7f08ccb7, 0xf04e9c73, 0x7f08075c, 0xf048601c, - 0x7f0741b2, 0xf04223ce, - 0x7f067bba, 0xf03be78a, 0x7f05b574, 0xf035ab4f, 0x7f04eedf, 0xf02f6f1f, - 0x7f0427fc, 0xf02932f8, - 0x7f0360cb, 0xf022f6da, 0x7f02994b, 0xf01cbac7, 0x7f01d17d, 0xf0167ebd, - 0x7f010961, 0xf01042be, - 0x7f0040f6, 0xf00a06c8, 0x7eff783d, 0xf003cadc, 0x7efeaf36, 0xeffd8ef9, - 0x7efde5e0, 0xeff75321, - 0x7efd1c3c, 0xeff11753, 0x7efc524a, 0xefeadb8e, 0x7efb8809, 0xefe49fd3, - 0x7efabd7a, 0xefde6423, - 0x7ef9f29d, 0xefd8287c, 0x7ef92771, 0xefd1ecdf, 0x7ef85bf7, 0xefcbb14c, - 0x7ef7902f, 0xefc575c3, - 0x7ef6c418, 0xefbf3a45, 0x7ef5f7b3, 0xefb8fed0, 0x7ef52b00, 0xefb2c365, - 0x7ef45dfe, 0xefac8804, - 0x7ef390ae, 0xefa64cae, 0x7ef2c310, 0xefa01161, 0x7ef1f524, 0xef99d61f, - 0x7ef126e9, 0xef939ae6, - 0x7ef05860, 0xef8d5fb8, 0x7eef8988, 0xef872494, 0x7eeeba62, 0xef80e97a, - 0x7eedeaee, 0xef7aae6b, - 0x7eed1b2c, 0xef747365, 0x7eec4b1b, 0xef6e386a, 0x7eeb7abc, 0xef67fd79, - 0x7eeaaa0f, 0xef61c292, - 0x7ee9d914, 0xef5b87b5, 0x7ee907ca, 0xef554ce3, 0x7ee83632, 0xef4f121b, - 0x7ee7644c, 0xef48d75d, - 0x7ee69217, 0xef429caa, 0x7ee5bf94, 0xef3c6201, 0x7ee4ecc3, 0xef362762, - 0x7ee419a3, 0xef2feccd, - 0x7ee34636, 0xef29b243, 0x7ee2727a, 0xef2377c4, 0x7ee19e6f, 0xef1d3d4e, - 0x7ee0ca17, 0xef1702e4, - 0x7edff570, 0xef10c883, 0x7edf207b, 0xef0a8e2d, 0x7ede4b38, 0xef0453e2, - 0x7edd75a6, 0xeefe19a1, - 0x7edc9fc6, 0xeef7df6a, 0x7edbc998, 0xeef1a53e, 0x7edaf31c, 0xeeeb6b1c, - 0x7eda1c51, 0xeee53105, - 0x7ed94538, 0xeedef6f9, 0x7ed86dd1, 0xeed8bcf7, 0x7ed7961c, 0xeed28300, - 0x7ed6be18, 0xeecc4913, - 0x7ed5e5c6, 0xeec60f31, 0x7ed50d26, 0xeebfd55a, 0x7ed43438, 0xeeb99b8d, - 0x7ed35afb, 0xeeb361cb, - 0x7ed28171, 0xeead2813, 0x7ed1a798, 0xeea6ee66, 0x7ed0cd70, 0xeea0b4c4, - 0x7ecff2fb, 0xee9a7b2d, - 0x7ecf1837, 0xee9441a0, 0x7ece3d25, 0xee8e081e, 0x7ecd61c5, 0xee87cea7, - 0x7ecc8617, 0xee81953b, - 0x7ecbaa1a, 0xee7b5bd9, 0x7ecacdd0, 0xee752283, 0x7ec9f137, 0xee6ee937, - 0x7ec9144f, 0xee68aff6, - 0x7ec8371a, 0xee6276bf, 0x7ec75996, 0xee5c3d94, 0x7ec67bc5, 0xee560473, - 0x7ec59da5, 0xee4fcb5e, - 0x7ec4bf36, 0xee499253, 0x7ec3e07a, 0xee435953, 0x7ec3016f, 0xee3d205e, - 0x7ec22217, 0xee36e775, - 0x7ec14270, 0xee30ae96, 0x7ec0627a, 0xee2a75c2, 0x7ebf8237, 0xee243cf9, - 0x7ebea1a6, 0xee1e043b, - 0x7ebdc0c6, 0xee17cb88, 0x7ebcdf98, 0xee1192e0, 0x7ebbfe1c, 0xee0b5a43, - 0x7ebb1c52, 0xee0521b2, - 0x7eba3a39, 0xedfee92b, 0x7eb957d2, 0xedf8b0b0, 0x7eb8751e, 0xedf2783f, - 0x7eb7921b, 0xedec3fda, - 0x7eb6aeca, 0xede60780, 0x7eb5cb2a, 0xeddfcf31, 0x7eb4e73d, 0xedd996ed, - 0x7eb40301, 0xedd35eb5, - 0x7eb31e78, 0xedcd2687, 0x7eb239a0, 0xedc6ee65, 0x7eb1547a, 0xedc0b64e, - 0x7eb06f05, 0xedba7e43, - 0x7eaf8943, 0xedb44642, 0x7eaea333, 0xedae0e4d, 0x7eadbcd4, 0xeda7d664, - 0x7eacd627, 0xeda19e85, - 0x7eabef2c, 0xed9b66b2, 0x7eab07e3, 0xed952eea, 0x7eaa204c, 0xed8ef72e, - 0x7ea93867, 0xed88bf7d, - 0x7ea85033, 0xed8287d7, 0x7ea767b2, 0xed7c503d, 0x7ea67ee2, 0xed7618ae, - 0x7ea595c4, 0xed6fe12b, - 0x7ea4ac58, 0xed69a9b3, 0x7ea3c29e, 0xed637246, 0x7ea2d896, 0xed5d3ae5, - 0x7ea1ee3f, 0xed570390, - 0x7ea1039b, 0xed50cc46, 0x7ea018a8, 0xed4a9507, 0x7e9f2d68, 0xed445dd5, - 0x7e9e41d9, 0xed3e26ad, - 0x7e9d55fc, 0xed37ef91, 0x7e9c69d1, 0xed31b881, 0x7e9b7d58, 0xed2b817d, - 0x7e9a9091, 0xed254a84, - 0x7e99a37c, 0xed1f1396, 0x7e98b618, 0xed18dcb5, 0x7e97c867, 0xed12a5df, - 0x7e96da67, 0xed0c6f14, - 0x7e95ec1a, 0xed063856, 0x7e94fd7e, 0xed0001a3, 0x7e940e94, 0xecf9cafb, - 0x7e931f5c, 0xecf39460, - 0x7e922fd6, 0xeced5dd0, 0x7e914002, 0xece7274c, 0x7e904fe0, 0xece0f0d4, - 0x7e8f5f70, 0xecdaba67, - 0x7e8e6eb2, 0xecd48407, 0x7e8d7da6, 0xecce4db2, 0x7e8c8c4b, 0xecc81769, - 0x7e8b9aa3, 0xecc1e12c, - 0x7e8aa8ac, 0xecbbaafb, 0x7e89b668, 0xecb574d5, 0x7e88c3d5, 0xecaf3ebc, - 0x7e87d0f5, 0xeca908ae, - 0x7e86ddc6, 0xeca2d2ad, 0x7e85ea49, 0xec9c9cb7, 0x7e84f67e, 0xec9666cd, - 0x7e840265, 0xec9030f0, - 0x7e830dff, 0xec89fb1e, 0x7e82194a, 0xec83c558, 0x7e812447, 0xec7d8f9e, - 0x7e802ef6, 0xec7759f1, - 0x7e7f3957, 0xec71244f, 0x7e7e436a, 0xec6aeeba, 0x7e7d4d2f, 0xec64b930, - 0x7e7c56a5, 0xec5e83b3, - 0x7e7b5fce, 0xec584e41, 0x7e7a68a9, 0xec5218dc, 0x7e797136, 0xec4be383, - 0x7e787975, 0xec45ae36, - 0x7e778166, 0xec3f78f6, 0x7e768908, 0xec3943c1, 0x7e75905d, 0xec330e99, - 0x7e749764, 0xec2cd97d, - 0x7e739e1d, 0xec26a46d, 0x7e72a488, 0xec206f69, 0x7e71aaa4, 0xec1a3a72, - 0x7e70b073, 0xec140587, - 0x7e6fb5f4, 0xec0dd0a8, 0x7e6ebb27, 0xec079bd6, 0x7e6dc00c, 0xec01670f, - 0x7e6cc4a2, 0xebfb3256, - 0x7e6bc8eb, 0xebf4fda8, 0x7e6acce6, 0xebeec907, 0x7e69d093, 0xebe89472, - 0x7e68d3f2, 0xebe25fea, - 0x7e67d703, 0xebdc2b6e, 0x7e66d9c6, 0xebd5f6fe, 0x7e65dc3b, 0xebcfc29b, - 0x7e64de62, 0xebc98e45, - 0x7e63e03b, 0xebc359fb, 0x7e62e1c6, 0xebbd25bd, 0x7e61e303, 0xebb6f18c, - 0x7e60e3f2, 0xebb0bd67, - 0x7e5fe493, 0xebaa894f, 0x7e5ee4e6, 0xeba45543, 0x7e5de4ec, 0xeb9e2144, - 0x7e5ce4a3, 0xeb97ed52, - 0x7e5be40c, 0xeb91b96c, 0x7e5ae328, 0xeb8b8593, 0x7e59e1f5, 0xeb8551c6, - 0x7e58e075, 0xeb7f1e06, - 0x7e57dea7, 0xeb78ea52, 0x7e56dc8a, 0xeb72b6ac, 0x7e55da20, 0xeb6c8312, - 0x7e54d768, 0xeb664f84, - 0x7e53d462, 0xeb601c04, 0x7e52d10e, 0xeb59e890, 0x7e51cd6c, 0xeb53b529, - 0x7e50c97c, 0xeb4d81ce, - 0x7e4fc53e, 0xeb474e81, 0x7e4ec0b2, 0xeb411b40, 0x7e4dbbd9, 0xeb3ae80c, - 0x7e4cb6b1, 0xeb34b4e4, - 0x7e4bb13c, 0xeb2e81ca, 0x7e4aab78, 0xeb284ebc, 0x7e49a567, 0xeb221bbb, - 0x7e489f08, 0xeb1be8c8, - 0x7e47985b, 0xeb15b5e1, 0x7e469160, 0xeb0f8307, 0x7e458a17, 0xeb095039, - 0x7e448281, 0xeb031d79, - 0x7e437a9c, 0xeafceac6, 0x7e427269, 0xeaf6b81f, 0x7e4169e9, 0xeaf08586, - 0x7e40611b, 0xeaea52fa, - 0x7e3f57ff, 0xeae4207a, 0x7e3e4e95, 0xeaddee08, 0x7e3d44dd, 0xead7bba3, - 0x7e3c3ad7, 0xead1894b, - 0x7e3b3083, 0xeacb56ff, 0x7e3a25e2, 0xeac524c1, 0x7e391af3, 0xeabef290, - 0x7e380fb5, 0xeab8c06c, - 0x7e37042a, 0xeab28e56, 0x7e35f851, 0xeaac5c4c, 0x7e34ec2b, 0xeaa62a4f, - 0x7e33dfb6, 0xea9ff860, - 0x7e32d2f4, 0xea99c67e, 0x7e31c5e3, 0xea9394a9, 0x7e30b885, 0xea8d62e1, - 0x7e2faad9, 0xea873127, - 0x7e2e9cdf, 0xea80ff7a, 0x7e2d8e97, 0xea7acdda, 0x7e2c8002, 0xea749c47, - 0x7e2b711f, 0xea6e6ac2, - 0x7e2a61ed, 0xea683949, 0x7e29526e, 0xea6207df, 0x7e2842a2, 0xea5bd681, - 0x7e273287, 0xea55a531, - 0x7e26221f, 0xea4f73ee, 0x7e251168, 0xea4942b9, 0x7e240064, 0xea431191, - 0x7e22ef12, 0xea3ce077, - 0x7e21dd73, 0xea36af69, 0x7e20cb85, 0xea307e6a, 0x7e1fb94a, 0xea2a4d78, - 0x7e1ea6c1, 0xea241c93, - 0x7e1d93ea, 0xea1debbb, 0x7e1c80c5, 0xea17baf2, 0x7e1b6d53, 0xea118a35, - 0x7e1a5992, 0xea0b5987, - 0x7e194584, 0xea0528e5, 0x7e183128, 0xe9fef852, 0x7e171c7f, 0xe9f8c7cc, - 0x7e160787, 0xe9f29753, - 0x7e14f242, 0xe9ec66e8, 0x7e13dcaf, 0xe9e6368b, 0x7e12c6ce, 0xe9e0063c, - 0x7e11b0a0, 0xe9d9d5fa, - 0x7e109a24, 0xe9d3a5c5, 0x7e0f835a, 0xe9cd759f, 0x7e0e6c42, 0xe9c74586, - 0x7e0d54dc, 0xe9c1157a, - 0x7e0c3d29, 0xe9bae57d, 0x7e0b2528, 0xe9b4b58d, 0x7e0a0cd9, 0xe9ae85ab, - 0x7e08f43d, 0xe9a855d7, - 0x7e07db52, 0xe9a22610, 0x7e06c21a, 0xe99bf658, 0x7e05a894, 0xe995c6ad, - 0x7e048ec1, 0xe98f9710, - 0x7e0374a0, 0xe9896781, 0x7e025a31, 0xe98337ff, 0x7e013f74, 0xe97d088c, - 0x7e00246a, 0xe976d926, - 0x7dff0911, 0xe970a9ce, 0x7dfded6c, 0xe96a7a85, 0x7dfcd178, 0xe9644b49, - 0x7dfbb537, 0xe95e1c1b, - 0x7dfa98a8, 0xe957ecfb, 0x7df97bcb, 0xe951bde9, 0x7df85ea0, 0xe94b8ee5, - 0x7df74128, 0xe9455fef, - 0x7df62362, 0xe93f3107, 0x7df5054f, 0xe939022d, 0x7df3e6ee, 0xe932d361, - 0x7df2c83f, 0xe92ca4a4, - 0x7df1a942, 0xe92675f4, 0x7df089f8, 0xe9204752, 0x7def6a60, 0xe91a18bf, - 0x7dee4a7a, 0xe913ea39, - 0x7ded2a47, 0xe90dbbc2, 0x7dec09c6, 0xe9078d59, 0x7deae8f7, 0xe9015efe, - 0x7de9c7da, 0xe8fb30b1, - 0x7de8a670, 0xe8f50273, 0x7de784b9, 0xe8eed443, 0x7de662b3, 0xe8e8a621, - 0x7de54060, 0xe8e2780d, - 0x7de41dc0, 0xe8dc4a07, 0x7de2fad1, 0xe8d61c10, 0x7de1d795, 0xe8cfee27, - 0x7de0b40b, 0xe8c9c04c, - 0x7ddf9034, 0xe8c39280, 0x7dde6c0f, 0xe8bd64c2, 0x7ddd479d, 0xe8b73712, - 0x7ddc22dc, 0xe8b10971, - 0x7ddafdce, 0xe8aadbde, 0x7dd9d873, 0xe8a4ae59, 0x7dd8b2ca, 0xe89e80e3, - 0x7dd78cd3, 0xe898537b, - 0x7dd6668f, 0xe8922622, 0x7dd53ffc, 0xe88bf8d7, 0x7dd4191d, 0xe885cb9a, - 0x7dd2f1f0, 0xe87f9e6c, - 0x7dd1ca75, 0xe879714d, 0x7dd0a2ac, 0xe873443c, 0x7dcf7a96, 0xe86d173a, - 0x7dce5232, 0xe866ea46, - 0x7dcd2981, 0xe860bd61, 0x7dcc0082, 0xe85a908a, 0x7dcad736, 0xe85463c2, - 0x7dc9ad9c, 0xe84e3708, - 0x7dc883b4, 0xe8480a5d, 0x7dc7597f, 0xe841ddc1, 0x7dc62efc, 0xe83bb133, - 0x7dc5042b, 0xe83584b4, - 0x7dc3d90d, 0xe82f5844, 0x7dc2ada2, 0xe8292be3, 0x7dc181e8, 0xe822ff90, - 0x7dc055e2, 0xe81cd34b, - 0x7dbf298d, 0xe816a716, 0x7dbdfceb, 0xe8107aef, 0x7dbccffc, 0xe80a4ed7, - 0x7dbba2bf, 0xe80422ce, - 0x7dba7534, 0xe7fdf6d4, 0x7db9475c, 0xe7f7cae8, 0x7db81936, 0xe7f19f0c, - 0x7db6eac3, 0xe7eb733e, - 0x7db5bc02, 0xe7e5477f, 0x7db48cf4, 0xe7df1bcf, 0x7db35d98, 0xe7d8f02d, - 0x7db22def, 0xe7d2c49b, - 0x7db0fdf8, 0xe7cc9917, 0x7dafcdb3, 0xe7c66da3, 0x7dae9d21, 0xe7c0423d, - 0x7dad6c42, 0xe7ba16e7, - 0x7dac3b15, 0xe7b3eb9f, 0x7dab099a, 0xe7adc066, 0x7da9d7d2, 0xe7a7953d, - 0x7da8a5bc, 0xe7a16a22, - 0x7da77359, 0xe79b3f16, 0x7da640a9, 0xe795141a, 0x7da50dab, 0xe78ee92c, - 0x7da3da5f, 0xe788be4e, - 0x7da2a6c6, 0xe782937e, 0x7da172df, 0xe77c68be, 0x7da03eab, 0xe7763e0d, - 0x7d9f0a29, 0xe770136b, - 0x7d9dd55a, 0xe769e8d8, 0x7d9ca03e, 0xe763be55, 0x7d9b6ad3, 0xe75d93e0, - 0x7d9a351c, 0xe757697b, - 0x7d98ff17, 0xe7513f25, 0x7d97c8c4, 0xe74b14de, 0x7d969224, 0xe744eaa6, - 0x7d955b37, 0xe73ec07e, - 0x7d9423fc, 0xe7389665, 0x7d92ec73, 0xe7326c5b, 0x7d91b49e, 0xe72c4260, - 0x7d907c7a, 0xe7261875, - 0x7d8f4409, 0xe71fee99, 0x7d8e0b4b, 0xe719c4cd, 0x7d8cd240, 0xe7139b10, - 0x7d8b98e6, 0xe70d7162, - 0x7d8a5f40, 0xe70747c4, 0x7d89254c, 0xe7011e35, 0x7d87eb0a, 0xe6faf4b5, - 0x7d86b07c, 0xe6f4cb45, - 0x7d85759f, 0xe6eea1e4, 0x7d843a76, 0xe6e87893, 0x7d82fefe, 0xe6e24f51, - 0x7d81c33a, 0xe6dc261f, - 0x7d808728, 0xe6d5fcfc, 0x7d7f4ac8, 0xe6cfd3e9, 0x7d7e0e1c, 0xe6c9aae5, - 0x7d7cd121, 0xe6c381f1, - 0x7d7b93da, 0xe6bd590d, 0x7d7a5645, 0xe6b73038, 0x7d791862, 0xe6b10772, - 0x7d77da32, 0xe6aadebc, - 0x7d769bb5, 0xe6a4b616, 0x7d755cea, 0xe69e8d80, 0x7d741dd2, 0xe69864f9, - 0x7d72de6d, 0xe6923c82, - 0x7d719eba, 0xe68c141a, 0x7d705eba, 0xe685ebc2, 0x7d6f1e6c, 0xe67fc37a, - 0x7d6dddd2, 0xe6799b42, - 0x7d6c9ce9, 0xe6737319, 0x7d6b5bb4, 0xe66d4b01, 0x7d6a1a31, 0xe66722f7, - 0x7d68d860, 0xe660fafe, - 0x7d679642, 0xe65ad315, 0x7d6653d7, 0xe654ab3b, 0x7d65111f, 0xe64e8371, - 0x7d63ce19, 0xe6485bb7, - 0x7d628ac6, 0xe642340d, 0x7d614725, 0xe63c0c73, 0x7d600338, 0xe635e4e9, - 0x7d5ebefc, 0xe62fbd6e, - 0x7d5d7a74, 0xe6299604, 0x7d5c359e, 0xe6236ea9, 0x7d5af07b, 0xe61d475e, - 0x7d59ab0a, 0xe6172024, - 0x7d58654d, 0xe610f8f9, 0x7d571f41, 0xe60ad1de, 0x7d55d8e9, 0xe604aad4, - 0x7d549243, 0xe5fe83d9, - 0x7d534b50, 0xe5f85cef, 0x7d520410, 0xe5f23614, 0x7d50bc82, 0xe5ec0f4a, - 0x7d4f74a7, 0xe5e5e88f, - 0x7d4e2c7f, 0xe5dfc1e5, 0x7d4ce409, 0xe5d99b4b, 0x7d4b9b46, 0xe5d374c1, - 0x7d4a5236, 0xe5cd4e47, - 0x7d4908d9, 0xe5c727dd, 0x7d47bf2e, 0xe5c10184, 0x7d467536, 0xe5badb3a, - 0x7d452af1, 0xe5b4b501, - 0x7d43e05e, 0xe5ae8ed8, 0x7d42957e, 0xe5a868bf, 0x7d414a51, 0xe5a242b7, - 0x7d3ffed7, 0xe59c1cbf, - 0x7d3eb30f, 0xe595f6d7, 0x7d3d66fa, 0xe58fd0ff, 0x7d3c1a98, 0xe589ab38, - 0x7d3acde9, 0xe5838581, - 0x7d3980ec, 0xe57d5fda, 0x7d3833a2, 0xe5773a44, 0x7d36e60b, 0xe57114be, - 0x7d359827, 0xe56aef49, - 0x7d3449f5, 0xe564c9e3, 0x7d32fb76, 0xe55ea48f, 0x7d31acaa, 0xe5587f4a, - 0x7d305d91, 0xe5525a17, - 0x7d2f0e2b, 0xe54c34f3, 0x7d2dbe77, 0xe5460fe0, 0x7d2c6e76, 0xe53feade, - 0x7d2b1e28, 0xe539c5ec, - 0x7d29cd8c, 0xe533a10a, 0x7d287ca4, 0xe52d7c39, 0x7d272b6e, 0xe5275779, - 0x7d25d9eb, 0xe52132c9, - 0x7d24881b, 0xe51b0e2a, 0x7d2335fe, 0xe514e99b, 0x7d21e393, 0xe50ec51d, - 0x7d2090db, 0xe508a0b0, - 0x7d1f3dd6, 0xe5027c53, 0x7d1dea84, 0xe4fc5807, 0x7d1c96e5, 0xe4f633cc, - 0x7d1b42f9, 0xe4f00fa1, - 0x7d19eebf, 0xe4e9eb87, 0x7d189a38, 0xe4e3c77d, 0x7d174564, 0xe4dda385, - 0x7d15f043, 0xe4d77f9d, - 0x7d149ad5, 0xe4d15bc6, 0x7d134519, 0xe4cb37ff, 0x7d11ef11, 0xe4c5144a, - 0x7d1098bb, 0xe4bef0a5, - 0x7d0f4218, 0xe4b8cd11, 0x7d0deb28, 0xe4b2a98e, 0x7d0c93eb, 0xe4ac861b, - 0x7d0b3c60, 0xe4a662ba, - 0x7d09e489, 0xe4a03f69, 0x7d088c64, 0xe49a1c29, 0x7d0733f3, 0xe493f8fb, - 0x7d05db34, 0xe48dd5dd, - 0x7d048228, 0xe487b2d0, 0x7d0328cf, 0xe4818fd4, 0x7d01cf29, 0xe47b6ce9, - 0x7d007535, 0xe4754a0e, - 0x7cff1af5, 0xe46f2745, 0x7cfdc068, 0xe469048d, 0x7cfc658d, 0xe462e1e6, - 0x7cfb0a65, 0xe45cbf50, - 0x7cf9aef0, 0xe4569ccb, 0x7cf8532f, 0xe4507a57, 0x7cf6f720, 0xe44a57f4, - 0x7cf59ac4, 0xe44435a2, - 0x7cf43e1a, 0xe43e1362, 0x7cf2e124, 0xe437f132, 0x7cf183e1, 0xe431cf14, - 0x7cf02651, 0xe42bad07, - 0x7ceec873, 0xe4258b0a, 0x7ced6a49, 0xe41f6920, 0x7cec0bd1, 0xe4194746, - 0x7ceaad0c, 0xe413257d, - 0x7ce94dfb, 0xe40d03c6, 0x7ce7ee9c, 0xe406e220, 0x7ce68ef0, 0xe400c08b, - 0x7ce52ef7, 0xe3fa9f08, - 0x7ce3ceb2, 0xe3f47d96, 0x7ce26e1f, 0xe3ee5c35, 0x7ce10d3f, 0xe3e83ae5, - 0x7cdfac12, 0xe3e219a7, - 0x7cde4a98, 0xe3dbf87a, 0x7cdce8d1, 0xe3d5d75e, 0x7cdb86bd, 0xe3cfb654, - 0x7cda245c, 0xe3c9955b, - 0x7cd8c1ae, 0xe3c37474, 0x7cd75eb3, 0xe3bd539e, 0x7cd5fb6a, 0xe3b732d9, - 0x7cd497d5, 0xe3b11226, - 0x7cd333f3, 0xe3aaf184, 0x7cd1cfc4, 0xe3a4d0f4, 0x7cd06b48, 0xe39eb075, - 0x7ccf067f, 0xe3989008, - 0x7ccda169, 0xe3926fad, 0x7ccc3c06, 0xe38c4f63, 0x7ccad656, 0xe3862f2a, - 0x7cc97059, 0xe3800f03, - 0x7cc80a0f, 0xe379eeed, 0x7cc6a378, 0xe373ceea, 0x7cc53c94, 0xe36daef7, - 0x7cc3d563, 0xe3678f17, - 0x7cc26de5, 0xe3616f48, 0x7cc1061a, 0xe35b4f8b, 0x7cbf9e03, 0xe3552fdf, - 0x7cbe359e, 0xe34f1045, - 0x7cbcccec, 0xe348f0bd, 0x7cbb63ee, 0xe342d146, 0x7cb9faa2, 0xe33cb1e1, - 0x7cb8910a, 0xe336928e, - 0x7cb72724, 0xe330734d, 0x7cb5bcf2, 0xe32a541d, 0x7cb45272, 0xe3243500, - 0x7cb2e7a6, 0xe31e15f4, - 0x7cb17c8d, 0xe317f6fa, 0x7cb01127, 0xe311d811, 0x7caea574, 0xe30bb93b, - 0x7cad3974, 0xe3059a76, - 0x7cabcd28, 0xe2ff7bc3, 0x7caa608e, 0xe2f95d23, 0x7ca8f3a7, 0xe2f33e94, - 0x7ca78674, 0xe2ed2017, - 0x7ca618f3, 0xe2e701ac, 0x7ca4ab26, 0xe2e0e352, 0x7ca33d0c, 0xe2dac50b, - 0x7ca1cea5, 0xe2d4a6d6, - 0x7ca05ff1, 0xe2ce88b3, 0x7c9ef0f0, 0xe2c86aa2, 0x7c9d81a3, 0xe2c24ca2, - 0x7c9c1208, 0xe2bc2eb5, - 0x7c9aa221, 0xe2b610da, 0x7c9931ec, 0xe2aff311, 0x7c97c16b, 0xe2a9d55a, - 0x7c96509d, 0xe2a3b7b5, - 0x7c94df83, 0xe29d9a23, 0x7c936e1b, 0xe2977ca2, 0x7c91fc66, 0xe2915f34, - 0x7c908a65, 0xe28b41d7, - 0x7c8f1817, 0xe285248d, 0x7c8da57c, 0xe27f0755, 0x7c8c3294, 0xe278ea30, - 0x7c8abf5f, 0xe272cd1c, - 0x7c894bde, 0xe26cb01b, 0x7c87d810, 0xe266932c, 0x7c8663f4, 0xe260764f, - 0x7c84ef8c, 0xe25a5984, - 0x7c837ad8, 0xe2543ccc, 0x7c8205d6, 0xe24e2026, 0x7c809088, 0xe2480393, - 0x7c7f1aed, 0xe241e711, - 0x7c7da505, 0xe23bcaa2, 0x7c7c2ed0, 0xe235ae46, 0x7c7ab84e, 0xe22f91fc, - 0x7c794180, 0xe22975c4, - 0x7c77ca65, 0xe223599e, 0x7c7652fd, 0xe21d3d8b, 0x7c74db48, 0xe217218b, - 0x7c736347, 0xe211059d, - 0x7c71eaf9, 0xe20ae9c1, 0x7c70725e, 0xe204cdf8, 0x7c6ef976, 0xe1feb241, - 0x7c6d8041, 0xe1f8969d, - 0x7c6c06c0, 0xe1f27b0b, 0x7c6a8cf2, 0xe1ec5f8c, 0x7c6912d7, 0xe1e64420, - 0x7c679870, 0xe1e028c6, - 0x7c661dbc, 0xe1da0d7e, 0x7c64a2bb, 0xe1d3f24a, 0x7c63276d, 0xe1cdd727, - 0x7c61abd3, 0xe1c7bc18, - 0x7c602fec, 0xe1c1a11b, 0x7c5eb3b8, 0xe1bb8631, 0x7c5d3737, 0xe1b56b59, - 0x7c5bba6a, 0xe1af5094, - 0x7c5a3d50, 0xe1a935e2, 0x7c58bfe9, 0xe1a31b42, 0x7c574236, 0xe19d00b6, - 0x7c55c436, 0xe196e63c, - 0x7c5445e9, 0xe190cbd4, 0x7c52c74f, 0xe18ab180, 0x7c514869, 0xe184973e, - 0x7c4fc936, 0xe17e7d0f, - 0x7c4e49b7, 0xe17862f3, 0x7c4cc9ea, 0xe17248ea, 0x7c4b49d2, 0xe16c2ef4, - 0x7c49c96c, 0xe1661510, - 0x7c4848ba, 0xe15ffb3f, 0x7c46c7bb, 0xe159e182, 0x7c45466f, 0xe153c7d7, - 0x7c43c4d7, 0xe14dae3f, - 0x7c4242f2, 0xe14794ba, 0x7c40c0c1, 0xe1417b48, 0x7c3f3e42, 0xe13b61e9, - 0x7c3dbb78, 0xe135489d, - 0x7c3c3860, 0xe12f2f63, 0x7c3ab4fc, 0xe129163d, 0x7c39314b, 0xe122fd2a, - 0x7c37ad4e, 0xe11ce42a, - 0x7c362904, 0xe116cb3d, 0x7c34a46d, 0xe110b263, 0x7c331f8a, 0xe10a999c, - 0x7c319a5a, 0xe10480e9, - 0x7c3014de, 0xe0fe6848, 0x7c2e8f15, 0xe0f84fbb, 0x7c2d08ff, 0xe0f23740, - 0x7c2b829d, 0xe0ec1ed9, - 0x7c29fbee, 0xe0e60685, 0x7c2874f3, 0xe0dfee44, 0x7c26edab, 0xe0d9d616, - 0x7c256616, 0xe0d3bdfc, - 0x7c23de35, 0xe0cda5f5, 0x7c225607, 0xe0c78e01, 0x7c20cd8d, 0xe0c17620, - 0x7c1f44c6, 0xe0bb5e53, - 0x7c1dbbb3, 0xe0b54698, 0x7c1c3253, 0xe0af2ef2, 0x7c1aa8a6, 0xe0a9175e, - 0x7c191ead, 0xe0a2ffde, - 0x7c179467, 0xe09ce871, 0x7c1609d5, 0xe096d117, 0x7c147ef6, 0xe090b9d1, - 0x7c12f3cb, 0xe08aa29f, - 0x7c116853, 0xe0848b7f, 0x7c0fdc8f, 0xe07e7473, 0x7c0e507e, 0xe0785d7b, - 0x7c0cc421, 0xe0724696, - 0x7c0b3777, 0xe06c2fc4, 0x7c09aa80, 0xe0661906, 0x7c081d3d, 0xe060025c, - 0x7c068fae, 0xe059ebc5, - 0x7c0501d2, 0xe053d541, 0x7c0373a9, 0xe04dbed1, 0x7c01e534, 0xe047a875, - 0x7c005673, 0xe041922c, - 0x7bfec765, 0xe03b7bf6, 0x7bfd380a, 0xe03565d5, 0x7bfba863, 0xe02f4fc6, - 0x7bfa1870, 0xe02939cc, - 0x7bf88830, 0xe02323e5, 0x7bf6f7a4, 0xe01d0e12, 0x7bf566cb, 0xe016f852, - 0x7bf3d5a6, 0xe010e2a7, - 0x7bf24434, 0xe00acd0e, 0x7bf0b276, 0xe004b78a, 0x7bef206b, 0xdffea219, - 0x7bed8e14, 0xdff88cbc, - 0x7bebfb70, 0xdff27773, 0x7bea6880, 0xdfec623e, 0x7be8d544, 0xdfe64d1c, - 0x7be741bb, 0xdfe0380e, - 0x7be5ade6, 0xdfda2314, 0x7be419c4, 0xdfd40e2e, 0x7be28556, 0xdfcdf95c, - 0x7be0f09b, 0xdfc7e49d, - 0x7bdf5b94, 0xdfc1cff3, 0x7bddc641, 0xdfbbbb5c, 0x7bdc30a1, 0xdfb5a6d9, - 0x7bda9ab5, 0xdfaf926a, - 0x7bd9047c, 0xdfa97e0f, 0x7bd76df7, 0xdfa369c8, 0x7bd5d726, 0xdf9d5595, - 0x7bd44008, 0xdf974176, - 0x7bd2a89e, 0xdf912d6b, 0x7bd110e8, 0xdf8b1974, 0x7bcf78e5, 0xdf850591, - 0x7bcde095, 0xdf7ef1c2, - 0x7bcc47fa, 0xdf78de07, 0x7bcaaf12, 0xdf72ca60, 0x7bc915dd, 0xdf6cb6cd, - 0x7bc77c5d, 0xdf66a34e, - 0x7bc5e290, 0xdf608fe4, 0x7bc44876, 0xdf5a7c8d, 0x7bc2ae10, 0xdf54694b, - 0x7bc1135e, 0xdf4e561c, - 0x7bbf7860, 0xdf484302, 0x7bbddd15, 0xdf422ffd, 0x7bbc417e, 0xdf3c1d0b, - 0x7bbaa59a, 0xdf360a2d, - 0x7bb9096b, 0xdf2ff764, 0x7bb76cef, 0xdf29e4af, 0x7bb5d026, 0xdf23d20e, - 0x7bb43311, 0xdf1dbf82, - 0x7bb295b0, 0xdf17ad0a, 0x7bb0f803, 0xdf119aa6, 0x7baf5a09, 0xdf0b8856, - 0x7badbbc3, 0xdf05761b, - 0x7bac1d31, 0xdeff63f4, 0x7baa7e53, 0xdef951e2, 0x7ba8df28, 0xdef33fe3, - 0x7ba73fb1, 0xdeed2dfa, - 0x7ba59fee, 0xdee71c24, 0x7ba3ffde, 0xdee10a63, 0x7ba25f82, 0xdedaf8b7, - 0x7ba0beda, 0xded4e71f, - 0x7b9f1de6, 0xdeced59b, 0x7b9d7ca5, 0xdec8c42c, 0x7b9bdb18, 0xdec2b2d1, - 0x7b9a393f, 0xdebca18b, - 0x7b989719, 0xdeb69059, 0x7b96f4a8, 0xdeb07f3c, 0x7b9551ea, 0xdeaa6e34, - 0x7b93aee0, 0xdea45d40, - 0x7b920b89, 0xde9e4c60, 0x7b9067e7, 0xde983b95, 0x7b8ec3f8, 0xde922adf, - 0x7b8d1fbd, 0xde8c1a3e, - 0x7b8b7b36, 0xde8609b1, 0x7b89d662, 0xde7ff938, 0x7b883143, 0xde79e8d5, - 0x7b868bd7, 0xde73d886, - 0x7b84e61f, 0xde6dc84b, 0x7b83401b, 0xde67b826, 0x7b8199ca, 0xde61a815, - 0x7b7ff32e, 0xde5b9819, - 0x7b7e4c45, 0xde558831, 0x7b7ca510, 0xde4f785f, 0x7b7afd8f, 0xde4968a1, - 0x7b7955c2, 0xde4358f8, - 0x7b77ada8, 0xde3d4964, 0x7b760542, 0xde3739e4, 0x7b745c91, 0xde312a7a, - 0x7b72b393, 0xde2b1b24, - 0x7b710a49, 0xde250be3, 0x7b6f60b2, 0xde1efcb7, 0x7b6db6d0, 0xde18eda0, - 0x7b6c0ca2, 0xde12de9e, - 0x7b6a6227, 0xde0ccfb1, 0x7b68b760, 0xde06c0d9, 0x7b670c4d, 0xde00b216, - 0x7b6560ee, 0xddfaa367, - 0x7b63b543, 0xddf494ce, 0x7b62094c, 0xddee8649, 0x7b605d09, 0xdde877da, - 0x7b5eb079, 0xdde26980, - 0x7b5d039e, 0xdddc5b3b, 0x7b5b5676, 0xddd64d0a, 0x7b59a902, 0xddd03eef, - 0x7b57fb42, 0xddca30e9, - 0x7b564d36, 0xddc422f8, 0x7b549ede, 0xddbe151d, 0x7b52f03a, 0xddb80756, - 0x7b51414a, 0xddb1f9a4, - 0x7b4f920e, 0xddabec08, 0x7b4de286, 0xdda5de81, 0x7b4c32b1, 0xdd9fd10f, - 0x7b4a8291, 0xdd99c3b2, - 0x7b48d225, 0xdd93b66a, 0x7b47216c, 0xdd8da938, 0x7b457068, 0xdd879c1b, - 0x7b43bf17, 0xdd818f13, - 0x7b420d7a, 0xdd7b8220, 0x7b405b92, 0xdd757543, 0x7b3ea95d, 0xdd6f687b, - 0x7b3cf6dc, 0xdd695bc9, - 0x7b3b4410, 0xdd634f2b, 0x7b3990f7, 0xdd5d42a3, 0x7b37dd92, 0xdd573631, - 0x7b3629e1, 0xdd5129d4, - 0x7b3475e5, 0xdd4b1d8c, 0x7b32c19c, 0xdd451159, 0x7b310d07, 0xdd3f053c, - 0x7b2f5826, 0xdd38f935, - 0x7b2da2fa, 0xdd32ed43, 0x7b2bed81, 0xdd2ce166, 0x7b2a37bc, 0xdd26d59f, - 0x7b2881ac, 0xdd20c9ed, - 0x7b26cb4f, 0xdd1abe51, 0x7b2514a6, 0xdd14b2ca, 0x7b235db2, 0xdd0ea759, - 0x7b21a671, 0xdd089bfe, - 0x7b1feee5, 0xdd0290b8, 0x7b1e370d, 0xdcfc8588, 0x7b1c7ee8, 0xdcf67a6d, - 0x7b1ac678, 0xdcf06f68, - 0x7b190dbc, 0xdcea6478, 0x7b1754b3, 0xdce4599e, 0x7b159b5f, 0xdcde4eda, - 0x7b13e1bf, 0xdcd8442b, - 0x7b1227d3, 0xdcd23993, 0x7b106d9b, 0xdccc2f0f, 0x7b0eb318, 0xdcc624a2, - 0x7b0cf848, 0xdcc01a4a, - 0x7b0b3d2c, 0xdcba1008, 0x7b0981c5, 0xdcb405dc, 0x7b07c612, 0xdcadfbc5, - 0x7b060a12, 0xdca7f1c5, - 0x7b044dc7, 0xdca1e7da, 0x7b029130, 0xdc9bde05, 0x7b00d44d, 0xdc95d446, - 0x7aff171e, 0xdc8fca9c, - 0x7afd59a4, 0xdc89c109, 0x7afb9bdd, 0xdc83b78b, 0x7af9ddcb, 0xdc7dae23, - 0x7af81f6c, 0xdc77a4d2, - 0x7af660c2, 0xdc719b96, 0x7af4a1cc, 0xdc6b9270, 0x7af2e28b, 0xdc658960, - 0x7af122fd, 0xdc5f8066, - 0x7aef6323, 0xdc597781, 0x7aeda2fe, 0xdc536eb3, 0x7aebe28d, 0xdc4d65fb, - 0x7aea21d0, 0xdc475d59, - 0x7ae860c7, 0xdc4154cd, 0x7ae69f73, 0xdc3b4c57, 0x7ae4ddd2, 0xdc3543f7, - 0x7ae31be6, 0xdc2f3bad, - 0x7ae159ae, 0xdc293379, 0x7adf972a, 0xdc232b5c, 0x7addd45b, 0xdc1d2354, - 0x7adc113f, 0xdc171b63, - 0x7ada4dd8, 0xdc111388, 0x7ad88a25, 0xdc0b0bc2, 0x7ad6c626, 0xdc050414, - 0x7ad501dc, 0xdbfefc7b, - 0x7ad33d45, 0xdbf8f4f8, 0x7ad17863, 0xdbf2ed8c, 0x7acfb336, 0xdbece636, - 0x7acdedbc, 0xdbe6def6, - 0x7acc27f7, 0xdbe0d7cd, 0x7aca61e6, 0xdbdad0b9, 0x7ac89b89, 0xdbd4c9bc, - 0x7ac6d4e0, 0xdbcec2d6, - 0x7ac50dec, 0xdbc8bc06, 0x7ac346ac, 0xdbc2b54c, 0x7ac17f20, 0xdbbcaea8, - 0x7abfb749, 0xdbb6a81b, - 0x7abdef25, 0xdbb0a1a4, 0x7abc26b7, 0xdbaa9b43, 0x7aba5dfc, 0xdba494f9, - 0x7ab894f6, 0xdb9e8ec6, - 0x7ab6cba4, 0xdb9888a8, 0x7ab50206, 0xdb9282a2, 0x7ab3381d, 0xdb8c7cb1, - 0x7ab16de7, 0xdb8676d8, - 0x7aafa367, 0xdb807114, 0x7aadd89a, 0xdb7a6b68, 0x7aac0d82, 0xdb7465d1, - 0x7aaa421e, 0xdb6e6052, - 0x7aa8766f, 0xdb685ae9, 0x7aa6aa74, 0xdb625596, 0x7aa4de2d, 0xdb5c505a, - 0x7aa3119a, 0xdb564b35, - 0x7aa144bc, 0xdb504626, 0x7a9f7793, 0xdb4a412e, 0x7a9daa1d, 0xdb443c4c, - 0x7a9bdc5c, 0xdb3e3781, - 0x7a9a0e50, 0xdb3832cd, 0x7a983ff7, 0xdb322e30, 0x7a967153, 0xdb2c29a9, - 0x7a94a264, 0xdb262539, - 0x7a92d329, 0xdb2020e0, 0x7a9103a2, 0xdb1a1c9d, 0x7a8f33d0, 0xdb141871, - 0x7a8d63b2, 0xdb0e145c, - 0x7a8b9348, 0xdb08105e, 0x7a89c293, 0xdb020c77, 0x7a87f192, 0xdafc08a6, - 0x7a862046, 0xdaf604ec, - 0x7a844eae, 0xdaf00149, 0x7a827ccb, 0xdae9fdbd, 0x7a80aa9c, 0xdae3fa48, - 0x7a7ed821, 0xdaddf6ea, - 0x7a7d055b, 0xdad7f3a2, 0x7a7b3249, 0xdad1f072, 0x7a795eec, 0xdacbed58, - 0x7a778b43, 0xdac5ea56, - 0x7a75b74f, 0xdabfe76a, 0x7a73e30f, 0xdab9e495, 0x7a720e84, 0xdab3e1d8, - 0x7a7039ad, 0xdaaddf31, - 0x7a6e648a, 0xdaa7dca1, 0x7a6c8f1c, 0xdaa1da29, 0x7a6ab963, 0xda9bd7c7, - 0x7a68e35e, 0xda95d57d, - 0x7a670d0d, 0xda8fd349, 0x7a653671, 0xda89d12d, 0x7a635f8a, 0xda83cf28, - 0x7a618857, 0xda7dcd3a, - 0x7a5fb0d8, 0xda77cb63, 0x7a5dd90e, 0xda71c9a3, 0x7a5c00f9, 0xda6bc7fa, - 0x7a5a2898, 0xda65c669, - 0x7a584feb, 0xda5fc4ef, 0x7a5676f3, 0xda59c38c, 0x7a549db0, 0xda53c240, - 0x7a52c421, 0xda4dc10b, - 0x7a50ea47, 0xda47bfee, 0x7a4f1021, 0xda41bee8, 0x7a4d35b0, 0xda3bbdf9, - 0x7a4b5af3, 0xda35bd22, - 0x7a497feb, 0xda2fbc61, 0x7a47a498, 0xda29bbb9, 0x7a45c8f9, 0xda23bb27, - 0x7a43ed0e, 0xda1dbaad, - 0x7a4210d8, 0xda17ba4a, 0x7a403457, 0xda11b9ff, 0x7a3e578b, 0xda0bb9cb, - 0x7a3c7a73, 0xda05b9ae, - 0x7a3a9d0f, 0xd9ffb9a9, 0x7a38bf60, 0xd9f9b9bb, 0x7a36e166, 0xd9f3b9e5, - 0x7a350321, 0xd9edba26, - 0x7a332490, 0xd9e7ba7f, 0x7a3145b3, 0xd9e1baef, 0x7a2f668c, 0xd9dbbb77, - 0x7a2d8719, 0xd9d5bc16, - 0x7a2ba75a, 0xd9cfbccd, 0x7a29c750, 0xd9c9bd9b, 0x7a27e6fb, 0xd9c3be81, - 0x7a26065b, 0xd9bdbf7e, - 0x7a24256f, 0xd9b7c094, 0x7a224437, 0xd9b1c1c0, 0x7a2062b5, 0xd9abc305, - 0x7a1e80e7, 0xd9a5c461, - 0x7a1c9ece, 0xd99fc5d4, 0x7a1abc69, 0xd999c75f, 0x7a18d9b9, 0xd993c902, - 0x7a16f6be, 0xd98dcabd, - 0x7a151378, 0xd987cc90, 0x7a132fe6, 0xd981ce7a, 0x7a114c09, 0xd97bd07c, - 0x7a0f67e0, 0xd975d295, - 0x7a0d836d, 0xd96fd4c7, 0x7a0b9eae, 0xd969d710, 0x7a09b9a4, 0xd963d971, - 0x7a07d44e, 0xd95ddbea, - 0x7a05eead, 0xd957de7a, 0x7a0408c1, 0xd951e123, 0x7a02228a, 0xd94be3e3, - 0x7a003c07, 0xd945e6bb, - 0x79fe5539, 0xd93fe9ab, 0x79fc6e20, 0xd939ecb3, 0x79fa86bc, 0xd933efd3, - 0x79f89f0c, 0xd92df30b, - 0x79f6b711, 0xd927f65b, 0x79f4cecb, 0xd921f9c3, 0x79f2e63a, 0xd91bfd43, - 0x79f0fd5d, 0xd91600da, - 0x79ef1436, 0xd910048a, 0x79ed2ac3, 0xd90a0852, 0x79eb4105, 0xd9040c32, - 0x79e956fb, 0xd8fe1029, - 0x79e76ca7, 0xd8f81439, 0x79e58207, 0xd8f21861, 0x79e3971c, 0xd8ec1ca1, - 0x79e1abe6, 0xd8e620fa, - 0x79dfc064, 0xd8e0256a, 0x79ddd498, 0xd8da29f2, 0x79dbe880, 0xd8d42e93, - 0x79d9fc1d, 0xd8ce334c, - 0x79d80f6f, 0xd8c8381d, 0x79d62276, 0xd8c23d06, 0x79d43532, 0xd8bc4207, - 0x79d247a2, 0xd8b64720, - 0x79d059c8, 0xd8b04c52, 0x79ce6ba2, 0xd8aa519c, 0x79cc7d31, 0xd8a456ff, - 0x79ca8e75, 0xd89e5c79, - 0x79c89f6e, 0xd898620c, 0x79c6b01b, 0xd89267b7, 0x79c4c07e, 0xd88c6d7b, - 0x79c2d095, 0xd8867356, - 0x79c0e062, 0xd880794b, 0x79beefe3, 0xd87a7f57, 0x79bcff19, 0xd874857c, - 0x79bb0e04, 0xd86e8bb9, - 0x79b91ca4, 0xd868920f, 0x79b72af9, 0xd862987d, 0x79b53903, 0xd85c9f04, - 0x79b346c2, 0xd856a5a3, - 0x79b15435, 0xd850ac5a, 0x79af615e, 0xd84ab32a, 0x79ad6e3c, 0xd844ba13, - 0x79ab7ace, 0xd83ec114, - 0x79a98715, 0xd838c82d, 0x79a79312, 0xd832cf5f, 0x79a59ec3, 0xd82cd6aa, - 0x79a3aa29, 0xd826de0d, - 0x79a1b545, 0xd820e589, 0x799fc015, 0xd81aed1d, 0x799dca9a, 0xd814f4ca, - 0x799bd4d4, 0xd80efc8f, - 0x7999dec4, 0xd809046e, 0x7997e868, 0xd8030c64, 0x7995f1c1, 0xd7fd1474, - 0x7993facf, 0xd7f71c9c, - 0x79920392, 0xd7f124dd, 0x79900c0a, 0xd7eb2d37, 0x798e1438, 0xd7e535a9, - 0x798c1c1a, 0xd7df3e34, - 0x798a23b1, 0xd7d946d8, 0x79882afd, 0xd7d34f94, 0x798631ff, 0xd7cd586a, - 0x798438b5, 0xd7c76158, - 0x79823f20, 0xd7c16a5f, 0x79804541, 0xd7bb737f, 0x797e4b16, 0xd7b57cb7, - 0x797c50a1, 0xd7af8609, - 0x797a55e0, 0xd7a98f73, 0x79785ad5, 0xd7a398f6, 0x79765f7f, 0xd79da293, - 0x797463de, 0xd797ac48, - 0x797267f2, 0xd791b616, 0x79706bbb, 0xd78bbffc, 0x796e6f39, 0xd785c9fc, - 0x796c726c, 0xd77fd415, - 0x796a7554, 0xd779de47, 0x796877f1, 0xd773e892, 0x79667a44, 0xd76df2f6, - 0x79647c4c, 0xd767fd72, - 0x79627e08, 0xd7620808, 0x79607f7a, 0xd75c12b7, 0x795e80a1, 0xd7561d7f, - 0x795c817d, 0xd7502860, - 0x795a820e, 0xd74a335b, 0x79588255, 0xd7443e6e, 0x79568250, 0xd73e499a, - 0x79548201, 0xd73854e0, - 0x79528167, 0xd732603f, 0x79508082, 0xd72c6bb6, 0x794e7f52, 0xd7267748, - 0x794c7dd7, 0xd72082f2, - 0x794a7c12, 0xd71a8eb5, 0x79487a01, 0xd7149a92, 0x794677a6, 0xd70ea688, - 0x79447500, 0xd708b297, - 0x79427210, 0xd702bec0, 0x79406ed4, 0xd6fccb01, 0x793e6b4e, 0xd6f6d75d, - 0x793c677d, 0xd6f0e3d1, - 0x793a6361, 0xd6eaf05f, 0x79385efa, 0xd6e4fd06, 0x79365a49, 0xd6df09c6, - 0x7934554d, 0xd6d916a0, - 0x79325006, 0xd6d32393, 0x79304a74, 0xd6cd30a0, 0x792e4497, 0xd6c73dc6, - 0x792c3e70, 0xd6c14b05, - 0x792a37fe, 0xd6bb585e, 0x79283141, 0xd6b565d0, 0x79262a3a, 0xd6af735c, - 0x792422e8, 0xd6a98101, - 0x79221b4b, 0xd6a38ec0, 0x79201363, 0xd69d9c98, 0x791e0b31, 0xd697aa8a, - 0x791c02b4, 0xd691b895, - 0x7919f9ec, 0xd68bc6ba, 0x7917f0d9, 0xd685d4f9, 0x7915e77c, 0xd67fe351, - 0x7913ddd4, 0xd679f1c2, - 0x7911d3e2, 0xd674004e, 0x790fc9a4, 0xd66e0ef2, 0x790dbf1d, 0xd6681db1, - 0x790bb44a, 0xd6622c89, - 0x7909a92d, 0xd65c3b7b, 0x79079dc5, 0xd6564a87, 0x79059212, 0xd65059ac, - 0x79038615, 0xd64a68eb, - 0x790179cd, 0xd6447844, 0x78ff6d3b, 0xd63e87b6, 0x78fd605d, 0xd6389742, - 0x78fb5336, 0xd632a6e8, - 0x78f945c3, 0xd62cb6a8, 0x78f73806, 0xd626c681, 0x78f529fe, 0xd620d675, - 0x78f31bac, 0xd61ae682, - 0x78f10d0f, 0xd614f6a9, 0x78eefe28, 0xd60f06ea, 0x78eceef6, 0xd6091745, - 0x78eadf79, 0xd60327b9, - 0x78e8cfb2, 0xd5fd3848, 0x78e6bfa0, 0xd5f748f0, 0x78e4af44, 0xd5f159b3, - 0x78e29e9d, 0xd5eb6a8f, - 0x78e08dab, 0xd5e57b85, 0x78de7c6f, 0xd5df8c96, 0x78dc6ae8, 0xd5d99dc0, - 0x78da5917, 0xd5d3af04, - 0x78d846fb, 0xd5cdc062, 0x78d63495, 0xd5c7d1db, 0x78d421e4, 0xd5c1e36d, - 0x78d20ee9, 0xd5bbf519, - 0x78cffba3, 0xd5b606e0, 0x78cde812, 0xd5b018c0, 0x78cbd437, 0xd5aa2abb, - 0x78c9c012, 0xd5a43cd0, - 0x78c7aba2, 0xd59e4eff, 0x78c596e7, 0xd5986148, 0x78c381e2, 0xd59273ab, - 0x78c16c93, 0xd58c8628, - 0x78bf56f9, 0xd58698c0, 0x78bd4114, 0xd580ab72, 0x78bb2ae5, 0xd57abe3d, - 0x78b9146c, 0xd574d124, - 0x78b6fda8, 0xd56ee424, 0x78b4e69a, 0xd568f73f, 0x78b2cf41, 0xd5630a74, - 0x78b0b79e, 0xd55d1dc3, - 0x78ae9fb0, 0xd557312d, 0x78ac8778, 0xd55144b0, 0x78aa6ef5, 0xd54b584f, - 0x78a85628, 0xd5456c07, - 0x78a63d11, 0xd53f7fda, 0x78a423af, 0xd53993c7, 0x78a20a03, 0xd533a7cf, - 0x789ff00c, 0xd52dbbf1, - 0x789dd5cb, 0xd527d02e, 0x789bbb3f, 0xd521e484, 0x7899a06a, 0xd51bf8f6, - 0x78978549, 0xd5160d82, - 0x789569df, 0xd5102228, 0x78934e2a, 0xd50a36e9, 0x7891322a, 0xd5044bc4, - 0x788f15e0, 0xd4fe60ba, - 0x788cf94c, 0xd4f875ca, 0x788adc6e, 0xd4f28af5, 0x7888bf45, 0xd4eca03a, - 0x7886a1d1, 0xd4e6b59a, - 0x78848414, 0xd4e0cb15, 0x7882660c, 0xd4dae0aa, 0x788047ba, 0xd4d4f65a, - 0x787e291d, 0xd4cf0c24, - 0x787c0a36, 0xd4c92209, 0x7879eb05, 0xd4c33809, 0x7877cb89, 0xd4bd4e23, - 0x7875abc3, 0xd4b76458, - 0x78738bb3, 0xd4b17aa8, 0x78716b59, 0xd4ab9112, 0x786f4ab4, 0xd4a5a798, - 0x786d29c5, 0xd49fbe37, - 0x786b088c, 0xd499d4f2, 0x7868e708, 0xd493ebc8, 0x7866c53a, 0xd48e02b8, - 0x7864a322, 0xd48819c3, - 0x786280bf, 0xd48230e9, 0x78605e13, 0xd47c4829, 0x785e3b1c, 0xd4765f85, - 0x785c17db, 0xd47076fb, - 0x7859f44f, 0xd46a8e8d, 0x7857d079, 0xd464a639, 0x7855ac5a, 0xd45ebe00, - 0x785387ef, 0xd458d5e2, - 0x7851633b, 0xd452eddf, 0x784f3e3c, 0xd44d05f6, 0x784d18f4, 0xd4471e29, - 0x784af361, 0xd4413677, - 0x7848cd83, 0xd43b4ee0, 0x7846a75c, 0xd4356763, 0x784480ea, 0xd42f8002, - 0x78425a2f, 0xd42998bc, - 0x78403329, 0xd423b191, 0x783e0bd9, 0xd41dca81, 0x783be43e, 0xd417e38c, - 0x7839bc5a, 0xd411fcb2, - 0x7837942b, 0xd40c15f3, 0x78356bb2, 0xd4062f4f, 0x783342ef, 0xd40048c6, - 0x783119e2, 0xd3fa6259, - 0x782ef08b, 0xd3f47c06, 0x782cc6ea, 0xd3ee95cf, 0x782a9cfe, 0xd3e8afb3, - 0x782872c8, 0xd3e2c9b2, - 0x78264849, 0xd3dce3cd, 0x78241d7f, 0xd3d6fe03, 0x7821f26b, 0xd3d11853, - 0x781fc70d, 0xd3cb32c0, - 0x781d9b65, 0xd3c54d47, 0x781b6f72, 0xd3bf67ea, 0x78194336, 0xd3b982a8, - 0x781716b0, 0xd3b39d81, - 0x7814e9df, 0xd3adb876, 0x7812bcc4, 0xd3a7d385, 0x78108f60, 0xd3a1eeb1, - 0x780e61b1, 0xd39c09f7, - 0x780c33b8, 0xd396255a, 0x780a0575, 0xd39040d7, 0x7807d6e9, 0xd38a5c70, - 0x7805a812, 0xd3847824, - 0x780378f1, 0xd37e93f4, 0x78014986, 0xd378afdf, 0x77ff19d1, 0xd372cbe6, - 0x77fce9d2, 0xd36ce808, - 0x77fab989, 0xd3670446, 0x77f888f6, 0xd361209f, 0x77f65819, 0xd35b3d13, - 0x77f426f2, 0xd35559a4, - 0x77f1f581, 0xd34f764f, 0x77efc3c5, 0xd3499317, 0x77ed91c0, 0xd343affa, - 0x77eb5f71, 0xd33dccf8, - 0x77e92cd9, 0xd337ea12, 0x77e6f9f6, 0xd3320748, 0x77e4c6c9, 0xd32c2499, - 0x77e29352, 0xd3264206, - 0x77e05f91, 0xd3205f8f, 0x77de2b86, 0xd31a7d33, 0x77dbf732, 0xd3149af3, - 0x77d9c293, 0xd30eb8cf, - 0x77d78daa, 0xd308d6c7, 0x77d55878, 0xd302f4da, 0x77d322fc, 0xd2fd1309, - 0x77d0ed35, 0xd2f73154, - 0x77ceb725, 0xd2f14fba, 0x77cc80cb, 0xd2eb6e3c, 0x77ca4a27, 0xd2e58cdb, - 0x77c81339, 0xd2dfab95, - 0x77c5dc01, 0xd2d9ca6a, 0x77c3a47f, 0xd2d3e95c, 0x77c16cb4, 0xd2ce0869, - 0x77bf349f, 0xd2c82793, - 0x77bcfc3f, 0xd2c246d8, 0x77bac396, 0xd2bc6639, 0x77b88aa3, 0xd2b685b6, - 0x77b65166, 0xd2b0a54f, - 0x77b417df, 0xd2aac504, 0x77b1de0f, 0xd2a4e4d5, 0x77afa3f5, 0xd29f04c2, - 0x77ad6990, 0xd29924cb, - 0x77ab2ee2, 0xd29344f0, 0x77a8f3ea, 0xd28d6531, 0x77a6b8a9, 0xd287858e, - 0x77a47d1d, 0xd281a607, - 0x77a24148, 0xd27bc69c, 0x77a00529, 0xd275e74d, 0x779dc8c0, 0xd270081b, - 0x779b8c0e, 0xd26a2904, - 0x77994f11, 0xd2644a0a, 0x779711cb, 0xd25e6b2b, 0x7794d43b, 0xd2588c69, - 0x77929661, 0xd252adc3, - 0x7790583e, 0xd24ccf39, 0x778e19d0, 0xd246f0cb, 0x778bdb19, 0xd241127a, - 0x77899c19, 0xd23b3444, - 0x77875cce, 0xd235562b, 0x77851d3a, 0xd22f782f, 0x7782dd5c, 0xd2299a4e, - 0x77809d35, 0xd223bc8a, - 0x777e5cc3, 0xd21ddee2, 0x777c1c08, 0xd2180156, 0x7779db03, 0xd21223e7, - 0x777799b5, 0xd20c4694, - 0x7775581d, 0xd206695d, 0x7773163b, 0xd2008c43, 0x7770d40f, 0xd1faaf45, - 0x776e919a, 0xd1f4d263, - 0x776c4edb, 0xd1eef59e, 0x776a0bd3, 0xd1e918f5, 0x7767c880, 0xd1e33c69, - 0x776584e5, 0xd1dd5ff9, - 0x776340ff, 0xd1d783a6, 0x7760fcd0, 0xd1d1a76f, 0x775eb857, 0xd1cbcb54, - 0x775c7395, 0xd1c5ef56, - 0x775a2e89, 0xd1c01375, 0x7757e933, 0xd1ba37b0, 0x7755a394, 0xd1b45c08, - 0x77535dab, 0xd1ae807c, - 0x77511778, 0xd1a8a50d, 0x774ed0fc, 0xd1a2c9ba, 0x774c8a36, 0xd19cee84, - 0x774a4327, 0xd197136b, - 0x7747fbce, 0xd191386e, 0x7745b42c, 0xd18b5d8e, 0x77436c40, 0xd18582ca, - 0x7741240a, 0xd17fa823, - 0x773edb8b, 0xd179cd99, 0x773c92c2, 0xd173f32c, 0x773a49b0, 0xd16e18db, - 0x77380054, 0xd1683ea7, - 0x7735b6af, 0xd1626490, 0x77336cc0, 0xd15c8a95, 0x77312287, 0xd156b0b7, - 0x772ed805, 0xd150d6f6, - 0x772c8d3a, 0xd14afd52, 0x772a4225, 0xd14523cb, 0x7727f6c6, 0xd13f4a60, - 0x7725ab1f, 0xd1397113, - 0x77235f2d, 0xd13397e2, 0x772112f2, 0xd12dbece, 0x771ec66e, 0xd127e5d7, - 0x771c79a0, 0xd1220cfc, - 0x771a2c88, 0xd11c343f, 0x7717df27, 0xd1165b9f, 0x7715917d, 0xd110831b, - 0x77134389, 0xd10aaab5, - 0x7710f54c, 0xd104d26b, 0x770ea6c5, 0xd0fefa3f, 0x770c57f5, 0xd0f9222f, - 0x770a08dc, 0xd0f34a3d, - 0x7707b979, 0xd0ed7267, 0x770569cc, 0xd0e79aaf, 0x770319d6, 0xd0e1c313, - 0x7700c997, 0xd0dbeb95, - 0x76fe790e, 0xd0d61434, 0x76fc283c, 0xd0d03cf0, 0x76f9d721, 0xd0ca65c9, - 0x76f785bc, 0xd0c48ebf, - 0x76f5340e, 0xd0beb7d2, 0x76f2e216, 0xd0b8e102, 0x76f08fd5, 0xd0b30a50, - 0x76ee3d4b, 0xd0ad33ba, - 0x76ebea77, 0xd0a75d42, 0x76e9975a, 0xd0a186e7, 0x76e743f4, 0xd09bb0aa, - 0x76e4f044, 0xd095da89, - 0x76e29c4b, 0xd0900486, 0x76e04808, 0xd08a2ea0, 0x76ddf37c, 0xd08458d7, - 0x76db9ea7, 0xd07e832c, - 0x76d94989, 0xd078ad9e, 0x76d6f421, 0xd072d82d, 0x76d49e70, 0xd06d02da, - 0x76d24876, 0xd0672da3, - 0x76cff232, 0xd061588b, 0x76cd9ba5, 0xd05b838f, 0x76cb44cf, 0xd055aeb1, - 0x76c8edb0, 0xd04fd9f1, - 0x76c69647, 0xd04a054e, 0x76c43e95, 0xd04430c8, 0x76c1e699, 0xd03e5c60, - 0x76bf8e55, 0xd0388815, - 0x76bd35c7, 0xd032b3e7, 0x76badcf0, 0xd02cdfd8, 0x76b883d0, 0xd0270be5, - 0x76b62a66, 0xd0213810, - 0x76b3d0b4, 0xd01b6459, 0x76b176b8, 0xd01590bf, 0x76af1c72, 0xd00fbd43, - 0x76acc1e4, 0xd009e9e4, - 0x76aa670d, 0xd00416a3, 0x76a80bec, 0xcffe4380, 0x76a5b082, 0xcff8707a, - 0x76a354cf, 0xcff29d92, - 0x76a0f8d2, 0xcfeccac7, 0x769e9c8d, 0xcfe6f81a, 0x769c3ffe, 0xcfe1258b, - 0x7699e326, 0xcfdb531a, - 0x76978605, 0xcfd580c6, 0x7695289b, 0xcfcfae8f, 0x7692cae8, 0xcfc9dc77, - 0x76906ceb, 0xcfc40a7c, - 0x768e0ea6, 0xcfbe389f, 0x768bb017, 0xcfb866e0, 0x7689513f, 0xcfb2953f, - 0x7686f21e, 0xcfacc3bb, - 0x768492b4, 0xcfa6f255, 0x76823301, 0xcfa1210d, 0x767fd304, 0xcf9b4fe3, - 0x767d72bf, 0xcf957ed7, - 0x767b1231, 0xcf8fade9, 0x7678b159, 0xcf89dd18, 0x76765038, 0xcf840c65, - 0x7673eecf, 0xcf7e3bd1, - 0x76718d1c, 0xcf786b5a, 0x766f2b20, 0xcf729b01, 0x766cc8db, 0xcf6ccac6, - 0x766a664d, 0xcf66faa9, - 0x76680376, 0xcf612aaa, 0x7665a056, 0xcf5b5ac9, 0x76633ced, 0xcf558b06, - 0x7660d93b, 0xcf4fbb61, - 0x765e7540, 0xcf49ebda, 0x765c10fc, 0xcf441c71, 0x7659ac6f, 0xcf3e4d26, - 0x76574798, 0xcf387dfa, - 0x7654e279, 0xcf32aeeb, 0x76527d11, 0xcf2cdffa, 0x76501760, 0xcf271128, - 0x764db166, 0xcf214274, - 0x764b4b23, 0xcf1b73de, 0x7648e497, 0xcf15a566, 0x76467dc2, 0xcf0fd70c, - 0x764416a4, 0xcf0a08d0, - 0x7641af3d, 0xcf043ab3, 0x763f478d, 0xcefe6cb3, 0x763cdf94, 0xcef89ed2, - 0x763a7752, 0xcef2d110, - 0x76380ec8, 0xceed036b, 0x7635a5f4, 0xcee735e5, 0x76333cd8, 0xcee1687d, - 0x7630d372, 0xcedb9b33, - 0x762e69c4, 0xced5ce08, 0x762bffcd, 0xced000fb, 0x7629958c, 0xceca340c, - 0x76272b03, 0xcec4673c, - 0x7624c031, 0xcebe9a8a, 0x76225517, 0xceb8cdf7, 0x761fe9b3, 0xceb30181, - 0x761d7e06, 0xcead352b, - 0x761b1211, 0xcea768f2, 0x7618a5d3, 0xcea19cd8, 0x7616394c, 0xce9bd0dd, - 0x7613cc7c, 0xce960500, - 0x76115f63, 0xce903942, 0x760ef201, 0xce8a6da2, 0x760c8457, 0xce84a220, - 0x760a1664, 0xce7ed6bd, - 0x7607a828, 0xce790b79, 0x760539a3, 0xce734053, 0x7602cad5, 0xce6d754c, - 0x76005bbf, 0xce67aa63, - 0x75fdec60, 0xce61df99, 0x75fb7cb8, 0xce5c14ed, 0x75f90cc7, 0xce564a60, - 0x75f69c8d, 0xce507ff2, - 0x75f42c0b, 0xce4ab5a2, 0x75f1bb40, 0xce44eb71, 0x75ef4a2c, 0xce3f215f, - 0x75ecd8cf, 0xce39576c, - 0x75ea672a, 0xce338d97, 0x75e7f53c, 0xce2dc3e1, 0x75e58305, 0xce27fa49, - 0x75e31086, 0xce2230d0, - 0x75e09dbd, 0xce1c6777, 0x75de2aac, 0xce169e3b, 0x75dbb753, 0xce10d51f, - 0x75d943b0, 0xce0b0c21, - 0x75d6cfc5, 0xce054343, 0x75d45b92, 0xcdff7a83, 0x75d1e715, 0xcdf9b1e2, - 0x75cf7250, 0xcdf3e95f, - 0x75ccfd42, 0xcdee20fc, 0x75ca87ec, 0xcde858b8, 0x75c8124d, 0xcde29092, - 0x75c59c65, 0xcddcc88b, - 0x75c32634, 0xcdd700a4, 0x75c0afbb, 0xcdd138db, 0x75be38fa, 0xcdcb7131, - 0x75bbc1ef, 0xcdc5a9a6, - 0x75b94a9c, 0xcdbfe23a, 0x75b6d301, 0xcdba1aee, 0x75b45b1d, 0xcdb453c0, - 0x75b1e2f0, 0xcdae8cb1, - 0x75af6a7b, 0xcda8c5c1, 0x75acf1bd, 0xcda2fef0, 0x75aa78b6, 0xcd9d383f, - 0x75a7ff67, 0xcd9771ac, - 0x75a585cf, 0xcd91ab39, 0x75a30bef, 0xcd8be4e4, 0x75a091c6, 0xcd861eaf, - 0x759e1755, 0xcd805899, - 0x759b9c9b, 0xcd7a92a2, 0x75992198, 0xcd74ccca, 0x7596a64d, 0xcd6f0711, - 0x75942ab9, 0xcd694178, - 0x7591aedd, 0xcd637bfe, 0x758f32b9, 0xcd5db6a3, 0x758cb64c, 0xcd57f167, - 0x758a3996, 0xcd522c4a, - 0x7587bc98, 0xcd4c674d, 0x75853f51, 0xcd46a26f, 0x7582c1c2, 0xcd40ddb0, - 0x758043ea, 0xcd3b1911, - 0x757dc5ca, 0xcd355491, 0x757b4762, 0xcd2f9030, 0x7578c8b0, 0xcd29cbee, - 0x757649b7, 0xcd2407cc, - 0x7573ca75, 0xcd1e43ca, 0x75714aea, 0xcd187fe6, 0x756ecb18, 0xcd12bc22, - 0x756c4afc, 0xcd0cf87e, - 0x7569ca99, 0xcd0734f9, 0x756749ec, 0xcd017193, 0x7564c8f8, 0xccfbae4d, - 0x756247bb, 0xccf5eb26, - 0x755fc635, 0xccf0281f, 0x755d4467, 0xccea6538, 0x755ac251, 0xcce4a26f, - 0x75583ff3, 0xccdedfc7, - 0x7555bd4c, 0xccd91d3d, 0x75533a5c, 0xccd35ad4, 0x7550b725, 0xcccd988a, - 0x754e33a4, 0xccc7d65f, - 0x754bafdc, 0xccc21455, 0x75492bcb, 0xccbc5269, 0x7546a772, 0xccb6909e, - 0x754422d0, 0xccb0cef2, - 0x75419de7, 0xccab0d65, 0x753f18b4, 0xcca54bf9, 0x753c933a, 0xcc9f8aac, - 0x753a0d77, 0xcc99c97e, - 0x7537876c, 0xcc940871, 0x75350118, 0xcc8e4783, 0x75327a7d, 0xcc8886b5, - 0x752ff399, 0xcc82c607, - 0x752d6c6c, 0xcc7d0578, 0x752ae4f8, 0xcc774509, 0x75285d3b, 0xcc7184ba, - 0x7525d536, 0xcc6bc48b, - 0x75234ce8, 0xcc66047b, 0x7520c453, 0xcc60448c, 0x751e3b75, 0xcc5a84bc, - 0x751bb24f, 0xcc54c50c, - 0x751928e0, 0xcc4f057c, 0x75169f2a, 0xcc49460c, 0x7514152b, 0xcc4386bc, - 0x75118ae4, 0xcc3dc78b, - 0x750f0054, 0xcc38087b, 0x750c757d, 0xcc32498a, 0x7509ea5d, 0xcc2c8aba, - 0x75075ef5, 0xcc26cc09, - 0x7504d345, 0xcc210d79, 0x7502474d, 0xcc1b4f08, 0x74ffbb0d, 0xcc1590b8, - 0x74fd2e84, 0xcc0fd287, - 0x74faa1b3, 0xcc0a1477, 0x74f8149a, 0xcc045686, 0x74f58739, 0xcbfe98b6, - 0x74f2f990, 0xcbf8db05, - 0x74f06b9e, 0xcbf31d75, 0x74eddd65, 0xcbed6005, 0x74eb4ee3, 0xcbe7a2b5, - 0x74e8c01a, 0xcbe1e585, - 0x74e63108, 0xcbdc2876, 0x74e3a1ae, 0xcbd66b86, 0x74e1120c, 0xcbd0aeb7, - 0x74de8221, 0xcbcaf208, - 0x74dbf1ef, 0xcbc53579, 0x74d96175, 0xcbbf790a, 0x74d6d0b2, 0xcbb9bcbb, - 0x74d43fa8, 0xcbb4008d, - 0x74d1ae55, 0xcbae447f, 0x74cf1cbb, 0xcba88891, 0x74cc8ad8, 0xcba2ccc4, - 0x74c9f8ad, 0xcb9d1117, - 0x74c7663a, 0xcb97558a, 0x74c4d380, 0xcb919a1d, 0x74c2407d, 0xcb8bded1, - 0x74bfad32, 0xcb8623a5, - 0x74bd199f, 0xcb80689a, 0x74ba85c4, 0xcb7aadaf, 0x74b7f1a1, 0xcb74f2e4, - 0x74b55d36, 0xcb6f383a, - 0x74b2c884, 0xcb697db0, 0x74b03389, 0xcb63c347, 0x74ad9e46, 0xcb5e08fe, - 0x74ab08bb, 0xcb584ed6, - 0x74a872e8, 0xcb5294ce, 0x74a5dccd, 0xcb4cdae6, 0x74a3466b, 0xcb47211f, - 0x74a0afc0, 0xcb416779, - 0x749e18cd, 0xcb3badf3, 0x749b8193, 0xcb35f48d, 0x7498ea11, 0xcb303b49, - 0x74965246, 0xcb2a8224, - 0x7493ba34, 0xcb24c921, 0x749121da, 0xcb1f103e, 0x748e8938, 0xcb19577b, - 0x748bf04d, 0xcb139ed9, - 0x7489571c, 0xcb0de658, 0x7486bda2, 0xcb082df8, 0x748423e0, 0xcb0275b8, - 0x748189d7, 0xcafcbd99, - 0x747eef85, 0xcaf7059a, 0x747c54ec, 0xcaf14dbd, 0x7479ba0b, 0xcaeb9600, - 0x74771ee2, 0xcae5de64, - 0x74748371, 0xcae026e8, 0x7471e7b8, 0xcada6f8d, 0x746f4bb8, 0xcad4b853, - 0x746caf70, 0xcacf013a, - 0x746a12df, 0xcac94a42, 0x74677608, 0xcac3936b, 0x7464d8e8, 0xcabddcb4, - 0x74623b80, 0xcab8261e, - 0x745f9dd1, 0xcab26fa9, 0x745cffda, 0xcaacb955, 0x745a619b, 0xcaa70322, - 0x7457c314, 0xcaa14d10, - 0x74552446, 0xca9b971e, 0x74528530, 0xca95e14e, 0x744fe5d2, 0xca902b9f, - 0x744d462c, 0xca8a7610, - 0x744aa63f, 0xca84c0a3, 0x7448060a, 0xca7f0b56, 0x7445658d, 0xca79562b, - 0x7442c4c8, 0xca73a120, - 0x744023bc, 0xca6dec37, 0x743d8268, 0xca68376e, 0x743ae0cc, 0xca6282c7, - 0x74383ee9, 0xca5cce40, - 0x74359cbd, 0xca5719db, 0x7432fa4b, 0xca516597, 0x74305790, 0xca4bb174, - 0x742db48e, 0xca45fd72, - 0x742b1144, 0xca404992, 0x74286db3, 0xca3a95d2, 0x7425c9da, 0xca34e234, - 0x742325b9, 0xca2f2eb6, - 0x74208150, 0xca297b5a, 0x741ddca0, 0xca23c820, 0x741b37a9, 0xca1e1506, - 0x74189269, 0xca18620e, - 0x7415ece2, 0xca12af37, 0x74134714, 0xca0cfc81, 0x7410a0fe, 0xca0749ec, - 0x740dfaa0, 0xca019779, - 0x740b53fb, 0xc9fbe527, 0x7408ad0e, 0xc9f632f6, 0x740605d9, 0xc9f080e7, - 0x74035e5d, 0xc9eacef9, - 0x7400b69a, 0xc9e51d2d, 0x73fe0e8f, 0xc9df6b81, 0x73fb663c, 0xc9d9b9f7, - 0x73f8bda2, 0xc9d4088f, - 0x73f614c0, 0xc9ce5748, 0x73f36b97, 0xc9c8a622, 0x73f0c226, 0xc9c2f51e, - 0x73ee186e, 0xc9bd443c, - 0x73eb6e6e, 0xc9b7937a, 0x73e8c426, 0xc9b1e2db, 0x73e61997, 0xc9ac325d, - 0x73e36ec1, 0xc9a68200, - 0x73e0c3a3, 0xc9a0d1c5, 0x73de183e, 0xc99b21ab, 0x73db6c91, 0xc99571b3, - 0x73d8c09d, 0xc98fc1dc, - 0x73d61461, 0xc98a1227, 0x73d367de, 0xc9846294, 0x73d0bb13, 0xc97eb322, - 0x73ce0e01, 0xc97903d2, - 0x73cb60a8, 0xc97354a4, 0x73c8b307, 0xc96da597, 0x73c6051f, 0xc967f6ac, - 0x73c356ef, 0xc96247e2, - 0x73c0a878, 0xc95c993a, 0x73bdf9b9, 0xc956eab4, 0x73bb4ab3, 0xc9513c50, - 0x73b89b66, 0xc94b8e0d, - 0x73b5ebd1, 0xc945dfec, 0x73b33bf5, 0xc94031ed, 0x73b08bd1, 0xc93a8410, - 0x73addb67, 0xc934d654, - 0x73ab2ab4, 0xc92f28ba, 0x73a879bb, 0xc9297b42, 0x73a5c87a, 0xc923cdec, - 0x73a316f2, 0xc91e20b8, - 0x73a06522, 0xc91873a5, 0x739db30b, 0xc912c6b5, 0x739b00ad, 0xc90d19e6, - 0x73984e07, 0xc9076d39, - 0x73959b1b, 0xc901c0ae, 0x7392e7e6, 0xc8fc1445, 0x7390346b, 0xc8f667fe, - 0x738d80a8, 0xc8f0bbd9, - 0x738acc9e, 0xc8eb0fd6, 0x7388184d, 0xc8e563f5, 0x738563b5, 0xc8dfb836, - 0x7382aed5, 0xc8da0c99, - 0x737ff9ae, 0xc8d4611d, 0x737d4440, 0xc8ceb5c4, 0x737a8e8a, 0xc8c90a8d, - 0x7377d88d, 0xc8c35f78, - 0x73752249, 0xc8bdb485, 0x73726bbe, 0xc8b809b4, 0x736fb4ec, 0xc8b25f06, - 0x736cfdd2, 0xc8acb479, - 0x736a4671, 0xc8a70a0e, 0x73678ec9, 0xc8a15fc6, 0x7364d6da, 0xc89bb5a0, - 0x73621ea4, 0xc8960b9c, - 0x735f6626, 0xc89061ba, 0x735cad61, 0xc88ab7fa, 0x7359f456, 0xc8850e5d, - 0x73573b03, 0xc87f64e2, - 0x73548168, 0xc879bb89, 0x7351c787, 0xc8741252, 0x734f0d5f, 0xc86e693d, - 0x734c52ef, 0xc868c04b, - 0x73499838, 0xc863177b, 0x7346dd3a, 0xc85d6ece, 0x734421f6, 0xc857c642, - 0x7341666a, 0xc8521dd9, - 0x733eaa96, 0xc84c7593, 0x733bee7c, 0xc846cd6e, 0x7339321b, 0xc841256d, - 0x73367572, 0xc83b7d8d, - 0x7333b883, 0xc835d5d0, 0x7330fb4d, 0xc8302e35, 0x732e3dcf, 0xc82a86bd, - 0x732b800a, 0xc824df67, - 0x7328c1ff, 0xc81f3834, 0x732603ac, 0xc8199123, 0x73234512, 0xc813ea35, - 0x73208632, 0xc80e4369, - 0x731dc70a, 0xc8089cbf, 0x731b079b, 0xc802f638, 0x731847e5, 0xc7fd4fd4, - 0x731587e8, 0xc7f7a992, - 0x7312c7a5, 0xc7f20373, 0x7310071a, 0xc7ec5d76, 0x730d4648, 0xc7e6b79c, - 0x730a8530, 0xc7e111e5, - 0x7307c3d0, 0xc7db6c50, 0x73050229, 0xc7d5c6de, 0x7302403c, 0xc7d0218e, - 0x72ff7e07, 0xc7ca7c61, - 0x72fcbb8c, 0xc7c4d757, 0x72f9f8c9, 0xc7bf3270, 0x72f735c0, 0xc7b98dab, - 0x72f47270, 0xc7b3e909, - 0x72f1aed9, 0xc7ae4489, 0x72eeeafb, 0xc7a8a02c, 0x72ec26d6, 0xc7a2fbf3, - 0x72e9626a, 0xc79d57db, - 0x72e69db7, 0xc797b3e7, 0x72e3d8be, 0xc7921015, 0x72e1137d, 0xc78c6c67, - 0x72de4df6, 0xc786c8db, - 0x72db8828, 0xc7812572, 0x72d8c213, 0xc77b822b, 0x72d5fbb7, 0xc775df08, - 0x72d33514, 0xc7703c08, - 0x72d06e2b, 0xc76a992a, 0x72cda6fb, 0xc764f66f, 0x72cadf83, 0xc75f53d7, - 0x72c817c6, 0xc759b163, - 0x72c54fc1, 0xc7540f11, 0x72c28775, 0xc74e6ce2, 0x72bfbee3, 0xc748cad6, - 0x72bcf60a, 0xc74328ed, - 0x72ba2cea, 0xc73d8727, 0x72b76383, 0xc737e584, 0x72b499d6, 0xc7324404, - 0x72b1cfe1, 0xc72ca2a7, - 0x72af05a7, 0xc727016d, 0x72ac3b25, 0xc7216056, 0x72a9705c, 0xc71bbf62, - 0x72a6a54d, 0xc7161e92, - 0x72a3d9f7, 0xc7107de4, 0x72a10e5b, 0xc70add5a, 0x729e4277, 0xc7053cf2, - 0x729b764d, 0xc6ff9cae, - 0x7298a9dd, 0xc6f9fc8d, 0x7295dd25, 0xc6f45c8f, 0x72931027, 0xc6eebcb5, - 0x729042e3, 0xc6e91cfd, - 0x728d7557, 0xc6e37d69, 0x728aa785, 0xc6ddddf8, 0x7287d96c, 0xc6d83eab, - 0x72850b0d, 0xc6d29f80, - 0x72823c67, 0xc6cd0079, 0x727f6d7a, 0xc6c76195, 0x727c9e47, 0xc6c1c2d4, - 0x7279cecd, 0xc6bc2437, - 0x7276ff0d, 0xc6b685bd, 0x72742f05, 0xc6b0e767, 0x72715eb8, 0xc6ab4933, - 0x726e8e23, 0xc6a5ab23, - 0x726bbd48, 0xc6a00d37, 0x7268ec27, 0xc69a6f6e, 0x72661abf, 0xc694d1c8, - 0x72634910, 0xc68f3446, - 0x7260771b, 0xc68996e7, 0x725da4df, 0xc683f9ab, 0x725ad25d, 0xc67e5c93, - 0x7257ff94, 0xc678bf9f, - 0x72552c85, 0xc67322ce, 0x7252592f, 0xc66d8620, 0x724f8593, 0xc667e996, - 0x724cb1b0, 0xc6624d30, - 0x7249dd86, 0xc65cb0ed, 0x72470916, 0xc65714cd, 0x72443460, 0xc65178d1, - 0x72415f63, 0xc64bdcf9, - 0x723e8a20, 0xc6464144, 0x723bb496, 0xc640a5b3, 0x7238dec5, 0xc63b0a46, - 0x723608af, 0xc6356efc, - 0x72333251, 0xc62fd3d6, 0x72305bae, 0xc62a38d4, 0x722d84c4, 0xc6249df5, - 0x722aad93, 0xc61f033a, - 0x7227d61c, 0xc61968a2, 0x7224fe5f, 0xc613ce2f, 0x7222265b, 0xc60e33df, - 0x721f4e11, 0xc60899b2, - 0x721c7580, 0xc602ffaa, 0x72199ca9, 0xc5fd65c5, 0x7216c38c, 0xc5f7cc04, - 0x7213ea28, 0xc5f23267, - 0x7211107e, 0xc5ec98ee, 0x720e368d, 0xc5e6ff98, 0x720b5c57, 0xc5e16667, - 0x720881d9, 0xc5dbcd59, - 0x7205a716, 0xc5d6346f, 0x7202cc0c, 0xc5d09ba9, 0x71fff0bc, 0xc5cb0307, - 0x71fd1525, 0xc5c56a89, - 0x71fa3949, 0xc5bfd22e, 0x71f75d25, 0xc5ba39f8, 0x71f480bc, 0xc5b4a1e5, - 0x71f1a40c, 0xc5af09f7, - 0x71eec716, 0xc5a9722c, 0x71ebe9da, 0xc5a3da86, 0x71e90c57, 0xc59e4303, - 0x71e62e8f, 0xc598aba5, - 0x71e35080, 0xc593146a, 0x71e0722a, 0xc58d7d54, 0x71dd938f, 0xc587e661, - 0x71dab4ad, 0xc5824f93, - 0x71d7d585, 0xc57cb8e9, 0x71d4f617, 0xc5772263, 0x71d21662, 0xc5718c00, - 0x71cf3667, 0xc56bf5c2, - 0x71cc5626, 0xc5665fa9, 0x71c9759f, 0xc560c9b3, 0x71c694d2, 0xc55b33e2, - 0x71c3b3bf, 0xc5559e34, - 0x71c0d265, 0xc55008ab, 0x71bdf0c5, 0xc54a7346, 0x71bb0edf, 0xc544de05, - 0x71b82cb3, 0xc53f48e9, - 0x71b54a41, 0xc539b3f1, 0x71b26788, 0xc5341f1d, 0x71af848a, 0xc52e8a6d, - 0x71aca145, 0xc528f5e1, - 0x71a9bdba, 0xc523617a, 0x71a6d9e9, 0xc51dcd37, 0x71a3f5d2, 0xc5183919, - 0x71a11175, 0xc512a51f, - 0x719e2cd2, 0xc50d1149, 0x719b47e9, 0xc5077d97, 0x719862b9, 0xc501ea0a, - 0x71957d44, 0xc4fc56a2, - 0x71929789, 0xc4f6c35d, 0x718fb187, 0xc4f1303d, 0x718ccb3f, 0xc4eb9d42, - 0x7189e4b2, 0xc4e60a6b, - 0x7186fdde, 0xc4e077b8, 0x718416c4, 0xc4dae52a, 0x71812f65, 0xc4d552c1, - 0x717e47bf, 0xc4cfc07c, - 0x717b5fd3, 0xc4ca2e5b, 0x717877a1, 0xc4c49c5f, 0x71758f29, 0xc4bf0a87, - 0x7172a66c, 0xc4b978d4, - 0x716fbd68, 0xc4b3e746, 0x716cd41e, 0xc4ae55dc, 0x7169ea8f, 0xc4a8c497, - 0x716700b9, 0xc4a33376, - 0x7164169d, 0xc49da27a, 0x71612c3c, 0xc49811a3, 0x715e4194, 0xc49280f0, - 0x715b56a7, 0xc48cf062, - 0x71586b74, 0xc4875ff9, 0x71557ffa, 0xc481cfb4, 0x7152943b, 0xc47c3f94, - 0x714fa836, 0xc476af98, - 0x714cbbeb, 0xc4711fc2, 0x7149cf5a, 0xc46b9010, 0x7146e284, 0xc4660083, - 0x7143f567, 0xc460711b, - 0x71410805, 0xc45ae1d7, 0x713e1a5c, 0xc45552b8, 0x713b2c6e, 0xc44fc3be, - 0x71383e3a, 0xc44a34e9, - 0x71354fc0, 0xc444a639, 0x71326101, 0xc43f17ad, 0x712f71fb, 0xc4398947, - 0x712c82b0, 0xc433fb05, - 0x7129931f, 0xc42e6ce8, 0x7126a348, 0xc428def0, 0x7123b32b, 0xc423511d, - 0x7120c2c8, 0xc41dc36f, - 0x711dd220, 0xc41835e6, 0x711ae132, 0xc412a882, 0x7117effe, 0xc40d1b42, - 0x7114fe84, 0xc4078e28, - 0x71120cc5, 0xc4020133, 0x710f1ac0, 0xc3fc7462, 0x710c2875, 0xc3f6e7b7, - 0x710935e4, 0xc3f15b31, - 0x7106430e, 0xc3ebced0, 0x71034ff2, 0xc3e64294, 0x71005c90, 0xc3e0b67d, - 0x70fd68e9, 0xc3db2a8b, - 0x70fa74fc, 0xc3d59ebe, 0x70f780c9, 0xc3d01316, 0x70f48c50, 0xc3ca8793, - 0x70f19792, 0xc3c4fc36, - 0x70eea28e, 0xc3bf70fd, 0x70ebad45, 0xc3b9e5ea, 0x70e8b7b5, 0xc3b45afc, - 0x70e5c1e1, 0xc3aed034, - 0x70e2cbc6, 0xc3a94590, 0x70dfd566, 0xc3a3bb12, 0x70dcdec0, 0xc39e30b8, - 0x70d9e7d5, 0xc398a685, - 0x70d6f0a4, 0xc3931c76, 0x70d3f92d, 0xc38d928d, 0x70d10171, 0xc38808c9, - 0x70ce096f, 0xc3827f2a, - 0x70cb1128, 0xc37cf5b0, 0x70c8189b, 0xc3776c5c, 0x70c51fc8, 0xc371e32d, - 0x70c226b0, 0xc36c5a24, - 0x70bf2d53, 0xc366d140, 0x70bc33b0, 0xc3614881, 0x70b939c7, 0xc35bbfe8, - 0x70b63f99, 0xc3563774, - 0x70b34525, 0xc350af26, 0x70b04a6b, 0xc34b26fc, 0x70ad4f6d, 0xc3459ef9, - 0x70aa5428, 0xc340171b, - 0x70a7589f, 0xc33a8f62, 0x70a45ccf, 0xc33507cf, 0x70a160ba, 0xc32f8061, - 0x709e6460, 0xc329f919, - 0x709b67c0, 0xc32471f7, 0x70986adb, 0xc31eeaf9, 0x70956db1, 0xc3196422, - 0x70927041, 0xc313dd70, - 0x708f728b, 0xc30e56e4, 0x708c7490, 0xc308d07d, 0x70897650, 0xc3034a3c, - 0x708677ca, 0xc2fdc420, - 0x708378ff, 0xc2f83e2a, 0x708079ee, 0xc2f2b85a, 0x707d7a98, 0xc2ed32af, - 0x707a7afd, 0xc2e7ad2a, - 0x70777b1c, 0xc2e227cb, 0x70747af6, 0xc2dca291, 0x70717a8a, 0xc2d71d7e, - 0x706e79d9, 0xc2d1988f, - 0x706b78e3, 0xc2cc13c7, 0x706877a7, 0xc2c68f24, 0x70657626, 0xc2c10aa7, - 0x70627460, 0xc2bb8650, - 0x705f7255, 0xc2b6021f, 0x705c7004, 0xc2b07e14, 0x70596d6d, 0xc2aafa2e, - 0x70566a92, 0xc2a5766e, - 0x70536771, 0xc29ff2d4, 0x7050640b, 0xc29a6f60, 0x704d6060, 0xc294ec12, - 0x704a5c6f, 0xc28f68e9, - 0x70475839, 0xc289e5e7, 0x704453be, 0xc284630a, 0x70414efd, 0xc27ee054, - 0x703e49f8, 0xc2795dc3, - 0x703b44ad, 0xc273db58, 0x70383f1d, 0xc26e5913, 0x70353947, 0xc268d6f5, - 0x7032332d, 0xc26354fc, - 0x702f2ccd, 0xc25dd329, 0x702c2628, 0xc258517c, 0x70291f3e, 0xc252cff5, - 0x7026180e, 0xc24d4e95, - 0x7023109a, 0xc247cd5a, 0x702008e0, 0xc2424c46, 0x701d00e1, 0xc23ccb57, - 0x7019f89d, 0xc2374a8f, - 0x7016f014, 0xc231c9ec, 0x7013e746, 0xc22c4970, 0x7010de32, 0xc226c91a, - 0x700dd4da, 0xc22148ea, - 0x700acb3c, 0xc21bc8e1, 0x7007c159, 0xc21648fd, 0x7004b731, 0xc210c940, - 0x7001acc4, 0xc20b49a9, - 0x6ffea212, 0xc205ca38, 0x6ffb971b, 0xc2004aed, 0x6ff88bde, 0xc1facbc9, - 0x6ff5805d, 0xc1f54cca, - 0x6ff27497, 0xc1efcdf3, 0x6fef688b, 0xc1ea4f41, 0x6fec5c3b, 0xc1e4d0b6, - 0x6fe94fa5, 0xc1df5251, - 0x6fe642ca, 0xc1d9d412, 0x6fe335ab, 0xc1d455f9, 0x6fe02846, 0xc1ced807, - 0x6fdd1a9c, 0xc1c95a3c, - 0x6fda0cae, 0xc1c3dc97, 0x6fd6fe7a, 0xc1be5f18, 0x6fd3f001, 0xc1b8e1bf, - 0x6fd0e144, 0xc1b3648d, - 0x6fcdd241, 0xc1ade781, 0x6fcac2fa, 0xc1a86a9c, 0x6fc7b36d, 0xc1a2edde, - 0x6fc4a39c, 0xc19d7145, - 0x6fc19385, 0xc197f4d4, 0x6fbe832a, 0xc1927888, 0x6fbb728a, 0xc18cfc63, - 0x6fb861a4, 0xc1878065, - 0x6fb5507a, 0xc182048d, 0x6fb23f0b, 0xc17c88dc, 0x6faf2d57, 0xc1770d52, - 0x6fac1b5f, 0xc17191ee, - 0x6fa90921, 0xc16c16b0, 0x6fa5f69e, 0xc1669b99, 0x6fa2e3d7, 0xc16120a9, - 0x6f9fd0cb, 0xc15ba5df, - 0x6f9cbd79, 0xc1562b3d, 0x6f99a9e3, 0xc150b0c0, 0x6f969608, 0xc14b366b, - 0x6f9381e9, 0xc145bc3c, - 0x6f906d84, 0xc1404233, 0x6f8d58db, 0xc13ac852, 0x6f8a43ed, 0xc1354e97, - 0x6f872eba, 0xc12fd503, - 0x6f841942, 0xc12a5b95, 0x6f810386, 0xc124e24f, 0x6f7ded84, 0xc11f692f, - 0x6f7ad73e, 0xc119f036, - 0x6f77c0b3, 0xc1147764, 0x6f74a9e4, 0xc10efeb8, 0x6f7192cf, 0xc1098634, - 0x6f6e7b76, 0xc1040dd6, - 0x6f6b63d8, 0xc0fe959f, 0x6f684bf6, 0xc0f91d8f, 0x6f6533ce, 0xc0f3a5a6, - 0x6f621b62, 0xc0ee2de3, - 0x6f5f02b2, 0xc0e8b648, 0x6f5be9bc, 0xc0e33ed4, 0x6f58d082, 0xc0ddc786, - 0x6f55b703, 0xc0d8505f, - 0x6f529d40, 0xc0d2d960, 0x6f4f8338, 0xc0cd6287, 0x6f4c68eb, 0xc0c7ebd6, - 0x6f494e5a, 0xc0c2754b, - 0x6f463383, 0xc0bcfee7, 0x6f431869, 0xc0b788ab, 0x6f3ffd09, 0xc0b21295, - 0x6f3ce165, 0xc0ac9ca6, - 0x6f39c57d, 0xc0a726df, 0x6f36a94f, 0xc0a1b13e, 0x6f338cde, 0xc09c3bc5, - 0x6f307027, 0xc096c673, - 0x6f2d532c, 0xc0915148, 0x6f2a35ed, 0xc08bdc44, 0x6f271868, 0xc0866767, - 0x6f23faa0, 0xc080f2b1, - 0x6f20dc92, 0xc07b7e23, 0x6f1dbe41, 0xc07609bb, 0x6f1a9faa, 0xc070957b, - 0x6f1780cf, 0xc06b2162, - 0x6f1461b0, 0xc065ad70, 0x6f11424c, 0xc06039a6, 0x6f0e22a3, 0xc05ac603, - 0x6f0b02b6, 0xc0555287, - 0x6f07e285, 0xc04fdf32, 0x6f04c20f, 0xc04a6c05, 0x6f01a155, 0xc044f8fe, - 0x6efe8056, 0xc03f8620, - 0x6efb5f12, 0xc03a1368, 0x6ef83d8a, 0xc034a0d8, 0x6ef51bbe, 0xc02f2e6f, - 0x6ef1f9ad, 0xc029bc2e, - 0x6eeed758, 0xc0244a14, 0x6eebb4bf, 0xc01ed821, 0x6ee891e1, 0xc0196656, - 0x6ee56ebe, 0xc013f4b2, - 0x6ee24b57, 0xc00e8336, 0x6edf27ac, 0xc00911e1, 0x6edc03bc, 0xc003a0b3, - 0x6ed8df88, 0xbffe2fad, - 0x6ed5bb10, 0xbff8bece, 0x6ed29653, 0xbff34e17, 0x6ecf7152, 0xbfeddd88, - 0x6ecc4c0d, 0xbfe86d20, - 0x6ec92683, 0xbfe2fcdf, 0x6ec600b5, 0xbfdd8cc6, 0x6ec2daa2, 0xbfd81cd5, - 0x6ebfb44b, 0xbfd2ad0b, - 0x6ebc8db0, 0xbfcd3d69, 0x6eb966d1, 0xbfc7cdee, 0x6eb63fad, 0xbfc25e9b, - 0x6eb31845, 0xbfbcef70, - 0x6eaff099, 0xbfb7806c, 0x6eacc8a8, 0xbfb21190, 0x6ea9a073, 0xbfaca2dc, - 0x6ea677fa, 0xbfa7344f, - 0x6ea34f3d, 0xbfa1c5ea, 0x6ea0263b, 0xbf9c57ac, 0x6e9cfcf5, 0xbf96e997, - 0x6e99d36b, 0xbf917ba9, - 0x6e96a99d, 0xbf8c0de3, 0x6e937f8a, 0xbf86a044, 0x6e905534, 0xbf8132ce, - 0x6e8d2a99, 0xbf7bc57f, - 0x6e89ffb9, 0xbf765858, 0x6e86d496, 0xbf70eb59, 0x6e83a92f, 0xbf6b7e81, - 0x6e807d83, 0xbf6611d2, - 0x6e7d5193, 0xbf60a54a, 0x6e7a255f, 0xbf5b38ea, 0x6e76f8e7, 0xbf55ccb2, - 0x6e73cc2b, 0xbf5060a2, - 0x6e709f2a, 0xbf4af4ba, 0x6e6d71e6, 0xbf4588fa, 0x6e6a445d, 0xbf401d61, - 0x6e671690, 0xbf3ab1f1, - 0x6e63e87f, 0xbf3546a8, 0x6e60ba2a, 0xbf2fdb88, 0x6e5d8b91, 0xbf2a708f, - 0x6e5a5cb4, 0xbf2505bf, - 0x6e572d93, 0xbf1f9b16, 0x6e53fe2e, 0xbf1a3096, 0x6e50ce84, 0xbf14c63d, - 0x6e4d9e97, 0xbf0f5c0d, - 0x6e4a6e66, 0xbf09f205, 0x6e473df0, 0xbf048824, 0x6e440d37, 0xbeff1e6c, - 0x6e40dc39, 0xbef9b4dc, - 0x6e3daaf8, 0xbef44b74, 0x6e3a7972, 0xbeeee234, 0x6e3747a9, 0xbee9791c, - 0x6e34159b, 0xbee4102d, - 0x6e30e34a, 0xbedea765, 0x6e2db0b4, 0xbed93ec6, 0x6e2a7ddb, 0xbed3d64f, - 0x6e274abe, 0xbece6e00, - 0x6e24175c, 0xbec905d9, 0x6e20e3b7, 0xbec39ddb, 0x6e1dafce, 0xbebe3605, - 0x6e1a7ba1, 0xbeb8ce57, - 0x6e174730, 0xbeb366d1, 0x6e14127b, 0xbeadff74, 0x6e10dd82, 0xbea8983f, - 0x6e0da845, 0xbea33132, - 0x6e0a72c5, 0xbe9dca4e, 0x6e073d00, 0xbe986391, 0x6e0406f8, 0xbe92fcfe, - 0x6e00d0ac, 0xbe8d9692, - 0x6dfd9a1c, 0xbe88304f, 0x6dfa6348, 0xbe82ca35, 0x6df72c30, 0xbe7d6442, - 0x6df3f4d4, 0xbe77fe78, - 0x6df0bd35, 0xbe7298d7, 0x6ded8552, 0xbe6d335e, 0x6dea4d2b, 0xbe67ce0d, - 0x6de714c0, 0xbe6268e5, - 0x6de3dc11, 0xbe5d03e6, 0x6de0a31f, 0xbe579f0f, 0x6ddd69e9, 0xbe523a60, - 0x6dda306f, 0xbe4cd5da, - 0x6dd6f6b1, 0xbe47717c, 0x6dd3bcaf, 0xbe420d47, 0x6dd0826a, 0xbe3ca93b, - 0x6dcd47e1, 0xbe374557, - 0x6dca0d14, 0xbe31e19b, 0x6dc6d204, 0xbe2c7e09, 0x6dc396b0, 0xbe271a9f, - 0x6dc05b18, 0xbe21b75d, - 0x6dbd1f3c, 0xbe1c5444, 0x6db9e31d, 0xbe16f154, 0x6db6a6ba, 0xbe118e8c, - 0x6db36a14, 0xbe0c2bed, - 0x6db02d29, 0xbe06c977, 0x6daceffb, 0xbe01672a, 0x6da9b28a, 0xbdfc0505, - 0x6da674d5, 0xbdf6a309, - 0x6da336dc, 0xbdf14135, 0x6d9ff89f, 0xbdebdf8b, 0x6d9cba1f, 0xbde67e09, - 0x6d997b5b, 0xbde11cb0, - 0x6d963c54, 0xbddbbb7f, 0x6d92fd09, 0xbdd65a78, 0x6d8fbd7a, 0xbdd0f999, - 0x6d8c7da8, 0xbdcb98e3, - 0x6d893d93, 0xbdc63856, 0x6d85fd39, 0xbdc0d7f2, 0x6d82bc9d, 0xbdbb77b7, - 0x6d7f7bbc, 0xbdb617a4, - 0x6d7c3a98, 0xbdb0b7bb, 0x6d78f931, 0xbdab57fa, 0x6d75b786, 0xbda5f862, - 0x6d727597, 0xbda098f3, - 0x6d6f3365, 0xbd9b39ad, 0x6d6bf0f0, 0xbd95da91, 0x6d68ae37, 0xbd907b9d, - 0x6d656b3a, 0xbd8b1cd2, - 0x6d6227fa, 0xbd85be30, 0x6d5ee477, 0xbd805fb7, 0x6d5ba0b0, 0xbd7b0167, - 0x6d585ca6, 0xbd75a340, - 0x6d551858, 0xbd704542, 0x6d51d3c6, 0xbd6ae76d, 0x6d4e8ef2, 0xbd6589c1, - 0x6d4b49da, 0xbd602c3f, - 0x6d48047e, 0xbd5acee5, 0x6d44bedf, 0xbd5571b5, 0x6d4178fd, 0xbd5014ad, - 0x6d3e32d7, 0xbd4ab7cf, - 0x6d3aec6e, 0xbd455b1a, 0x6d37a5c1, 0xbd3ffe8e, 0x6d345ed1, 0xbd3aa22c, - 0x6d31179e, 0xbd3545f2, - 0x6d2dd027, 0xbd2fe9e2, 0x6d2a886e, 0xbd2a8dfb, 0x6d274070, 0xbd25323d, - 0x6d23f830, 0xbd1fd6a8, - 0x6d20afac, 0xbd1a7b3d, 0x6d1d66e4, 0xbd151ffb, 0x6d1a1dda, 0xbd0fc4e2, - 0x6d16d48c, 0xbd0a69f2, - 0x6d138afb, 0xbd050f2c, 0x6d104126, 0xbcffb48f, 0x6d0cf70f, 0xbcfa5a1b, - 0x6d09acb4, 0xbcf4ffd1, - 0x6d066215, 0xbcefa5b0, 0x6d031734, 0xbcea4bb9, 0x6cffcc0f, 0xbce4f1eb, - 0x6cfc80a7, 0xbcdf9846, - 0x6cf934fc, 0xbcda3ecb, 0x6cf5e90d, 0xbcd4e579, 0x6cf29cdc, 0xbccf8c50, - 0x6cef5067, 0xbcca3351, - 0x6cec03af, 0xbcc4da7b, 0x6ce8b6b4, 0xbcbf81cf, 0x6ce56975, 0xbcba294d, - 0x6ce21bf4, 0xbcb4d0f4, - 0x6cdece2f, 0xbcaf78c4, 0x6cdb8027, 0xbcaa20be, 0x6cd831dc, 0xbca4c8e1, - 0x6cd4e34e, 0xbc9f712e, - 0x6cd1947c, 0xbc9a19a5, 0x6cce4568, 0xbc94c245, 0x6ccaf610, 0xbc8f6b0f, - 0x6cc7a676, 0xbc8a1402, - 0x6cc45698, 0xbc84bd1f, 0x6cc10677, 0xbc7f6665, 0x6cbdb613, 0xbc7a0fd6, - 0x6cba656c, 0xbc74b96f, - 0x6cb71482, 0xbc6f6333, 0x6cb3c355, 0xbc6a0d20, 0x6cb071e4, 0xbc64b737, - 0x6cad2031, 0xbc5f6177, - 0x6ca9ce3b, 0xbc5a0be2, 0x6ca67c01, 0xbc54b676, 0x6ca32985, 0xbc4f6134, - 0x6c9fd6c6, 0xbc4a0c1b, - 0x6c9c83c3, 0xbc44b72c, 0x6c99307e, 0xbc3f6267, 0x6c95dcf6, 0xbc3a0dcc, - 0x6c92892a, 0xbc34b95b, - 0x6c8f351c, 0xbc2f6513, 0x6c8be0cb, 0xbc2a10f6, 0x6c888c36, 0xbc24bd02, - 0x6c85375f, 0xbc1f6938, - 0x6c81e245, 0xbc1a1598, 0x6c7e8ce8, 0xbc14c221, 0x6c7b3748, 0xbc0f6ed5, - 0x6c77e165, 0xbc0a1bb3, - 0x6c748b3f, 0xbc04c8ba, 0x6c7134d7, 0xbbff75ec, 0x6c6dde2b, 0xbbfa2347, - 0x6c6a873d, 0xbbf4d0cc, - 0x6c67300b, 0xbbef7e7c, 0x6c63d897, 0xbbea2c55, 0x6c6080e0, 0xbbe4da58, - 0x6c5d28e6, 0xbbdf8885, - 0x6c59d0a9, 0xbbda36dd, 0x6c56782a, 0xbbd4e55e, 0x6c531f67, 0xbbcf940a, - 0x6c4fc662, 0xbbca42df, - 0x6c4c6d1a, 0xbbc4f1df, 0x6c49138f, 0xbbbfa108, 0x6c45b9c1, 0xbbba505c, - 0x6c425fb1, 0xbbb4ffda, - 0x6c3f055d, 0xbbafaf82, 0x6c3baac7, 0xbbaa5f54, 0x6c384fef, 0xbba50f50, - 0x6c34f4d3, 0xbb9fbf77, - 0x6c319975, 0xbb9a6fc7, 0x6c2e3dd4, 0xbb952042, 0x6c2ae1f0, 0xbb8fd0e7, - 0x6c2785ca, 0xbb8a81b6, - 0x6c242960, 0xbb8532b0, 0x6c20ccb4, 0xbb7fe3d3, 0x6c1d6fc6, 0xbb7a9521, - 0x6c1a1295, 0xbb754699, - 0x6c16b521, 0xbb6ff83c, 0x6c13576a, 0xbb6aaa09, 0x6c0ff971, 0xbb655c00, - 0x6c0c9b35, 0xbb600e21, - 0x6c093cb6, 0xbb5ac06d, 0x6c05ddf5, 0xbb5572e3, 0x6c027ef1, 0xbb502583, - 0x6bff1faa, 0xbb4ad84e, - 0x6bfbc021, 0xbb458b43, 0x6bf86055, 0xbb403e63, 0x6bf50047, 0xbb3af1ad, - 0x6bf19ff6, 0xbb35a521, - 0x6bee3f62, 0xbb3058c0, 0x6beade8c, 0xbb2b0c8a, 0x6be77d74, 0xbb25c07d, - 0x6be41c18, 0xbb20749c, - 0x6be0ba7b, 0xbb1b28e4, 0x6bdd589a, 0xbb15dd57, 0x6bd9f677, 0xbb1091f5, - 0x6bd69412, 0xbb0b46bd, - 0x6bd3316a, 0xbb05fbb0, 0x6bcfce80, 0xbb00b0ce, 0x6bcc6b53, 0xbafb6615, - 0x6bc907e3, 0xbaf61b88, - 0x6bc5a431, 0xbaf0d125, 0x6bc2403d, 0xbaeb86ed, 0x6bbedc06, 0xbae63cdf, - 0x6bbb778d, 0xbae0f2fc, - 0x6bb812d1, 0xbadba943, 0x6bb4add3, 0xbad65fb5, 0x6bb14892, 0xbad11652, - 0x6bade30f, 0xbacbcd1a, - 0x6baa7d49, 0xbac6840c, 0x6ba71741, 0xbac13b29, 0x6ba3b0f7, 0xbabbf270, - 0x6ba04a6a, 0xbab6a9e3, - 0x6b9ce39b, 0xbab16180, 0x6b997c8a, 0xbaac1948, 0x6b961536, 0xbaa6d13a, - 0x6b92ada0, 0xbaa18958, - 0x6b8f45c7, 0xba9c41a0, 0x6b8bddac, 0xba96fa13, 0x6b88754f, 0xba91b2b1, - 0x6b850caf, 0xba8c6b79, - 0x6b81a3cd, 0xba87246d, 0x6b7e3aa9, 0xba81dd8b, 0x6b7ad142, 0xba7c96d4, - 0x6b776799, 0xba775048, - 0x6b73fdae, 0xba7209e7, 0x6b709381, 0xba6cc3b1, 0x6b6d2911, 0xba677da6, - 0x6b69be5f, 0xba6237c5, - 0x6b66536b, 0xba5cf210, 0x6b62e834, 0xba57ac86, 0x6b5f7cbc, 0xba526726, - 0x6b5c1101, 0xba4d21f2, - 0x6b58a503, 0xba47dce8, 0x6b5538c4, 0xba42980a, 0x6b51cc42, 0xba3d5356, - 0x6b4e5f7f, 0xba380ece, - 0x6b4af279, 0xba32ca71, 0x6b478530, 0xba2d863e, 0x6b4417a6, 0xba284237, - 0x6b40a9d9, 0xba22fe5b, - 0x6b3d3bcb, 0xba1dbaaa, 0x6b39cd7a, 0xba187724, 0x6b365ee7, 0xba1333c9, - 0x6b32f012, 0xba0df099, - 0x6b2f80fb, 0xba08ad95, 0x6b2c11a1, 0xba036abb, 0x6b28a206, 0xb9fe280d, - 0x6b253228, 0xb9f8e58a, - 0x6b21c208, 0xb9f3a332, 0x6b1e51a7, 0xb9ee6106, 0x6b1ae103, 0xb9e91f04, - 0x6b17701d, 0xb9e3dd2e, - 0x6b13fef5, 0xb9de9b83, 0x6b108d8b, 0xb9d95a03, 0x6b0d1bdf, 0xb9d418af, - 0x6b09a9f1, 0xb9ced786, - 0x6b0637c1, 0xb9c99688, 0x6b02c54f, 0xb9c455b6, 0x6aff529a, 0xb9bf150e, - 0x6afbdfa4, 0xb9b9d493, - 0x6af86c6c, 0xb9b49442, 0x6af4f8f2, 0xb9af541d, 0x6af18536, 0xb9aa1423, - 0x6aee1138, 0xb9a4d455, - 0x6aea9cf8, 0xb99f94b2, 0x6ae72876, 0xb99a553a, 0x6ae3b3b2, 0xb99515ee, - 0x6ae03eac, 0xb98fd6cd, - 0x6adcc964, 0xb98a97d8, 0x6ad953db, 0xb985590e, 0x6ad5de0f, 0xb9801a70, - 0x6ad26802, 0xb97adbfd, - 0x6acef1b2, 0xb9759db6, 0x6acb7b21, 0xb9705f9a, 0x6ac8044e, 0xb96b21aa, - 0x6ac48d39, 0xb965e3e5, - 0x6ac115e2, 0xb960a64c, 0x6abd9e49, 0xb95b68de, 0x6aba266e, 0xb9562b9c, - 0x6ab6ae52, 0xb950ee86, - 0x6ab335f4, 0xb94bb19b, 0x6aafbd54, 0xb94674dc, 0x6aac4472, 0xb9413848, - 0x6aa8cb4e, 0xb93bfbe0, - 0x6aa551e9, 0xb936bfa4, 0x6aa1d841, 0xb9318393, 0x6a9e5e58, 0xb92c47ae, - 0x6a9ae42e, 0xb9270bf5, - 0x6a9769c1, 0xb921d067, 0x6a93ef13, 0xb91c9505, 0x6a907423, 0xb91759cf, - 0x6a8cf8f1, 0xb9121ec5, - 0x6a897d7d, 0xb90ce3e6, 0x6a8601c8, 0xb907a933, 0x6a8285d1, 0xb9026eac, - 0x6a7f0999, 0xb8fd3451, - 0x6a7b8d1e, 0xb8f7fa21, 0x6a781062, 0xb8f2c01d, 0x6a749365, 0xb8ed8646, - 0x6a711625, 0xb8e84c99, - 0x6a6d98a4, 0xb8e31319, 0x6a6a1ae2, 0xb8ddd9c5, 0x6a669cdd, 0xb8d8a09d, - 0x6a631e97, 0xb8d367a0, - 0x6a5fa010, 0xb8ce2ecf, 0x6a5c2147, 0xb8c8f62b, 0x6a58a23c, 0xb8c3bdb2, - 0x6a5522ef, 0xb8be8565, - 0x6a51a361, 0xb8b94d44, 0x6a4e2392, 0xb8b4154f, 0x6a4aa381, 0xb8aedd86, - 0x6a47232e, 0xb8a9a5e9, - 0x6a43a29a, 0xb8a46e78, 0x6a4021c4, 0xb89f3733, 0x6a3ca0ad, 0xb89a001a, - 0x6a391f54, 0xb894c92d, - 0x6a359db9, 0xb88f926d, 0x6a321bdd, 0xb88a5bd8, 0x6a2e99c0, 0xb885256f, - 0x6a2b1761, 0xb87fef33, - 0x6a2794c1, 0xb87ab922, 0x6a2411df, 0xb875833e, 0x6a208ebb, 0xb8704d85, - 0x6a1d0b57, 0xb86b17f9, - 0x6a1987b0, 0xb865e299, 0x6a1603c8, 0xb860ad66, 0x6a127f9f, 0xb85b785e, - 0x6a0efb35, 0xb8564383, - 0x6a0b7689, 0xb8510ed4, 0x6a07f19b, 0xb84bda51, 0x6a046c6c, 0xb846a5fa, - 0x6a00e6fc, 0xb84171cf, - 0x69fd614a, 0xb83c3dd1, 0x69f9db57, 0xb83709ff, 0x69f65523, 0xb831d659, - 0x69f2cead, 0xb82ca2e0, - 0x69ef47f6, 0xb8276f93, 0x69ebc0fe, 0xb8223c72, 0x69e839c4, 0xb81d097e, - 0x69e4b249, 0xb817d6b6, - 0x69e12a8c, 0xb812a41a, 0x69dda28f, 0xb80d71aa, 0x69da1a50, 0xb8083f67, - 0x69d691cf, 0xb8030d51, - 0x69d3090e, 0xb7fddb67, 0x69cf800b, 0xb7f8a9a9, 0x69cbf6c7, 0xb7f37818, - 0x69c86d41, 0xb7ee46b3, - 0x69c4e37a, 0xb7e9157a, 0x69c15973, 0xb7e3e46e, 0x69bdcf29, 0xb7deb38f, - 0x69ba449f, 0xb7d982dc, - 0x69b6b9d3, 0xb7d45255, 0x69b32ec7, 0xb7cf21fb, 0x69afa378, 0xb7c9f1ce, - 0x69ac17e9, 0xb7c4c1cd, - 0x69a88c19, 0xb7bf91f8, 0x69a50007, 0xb7ba6251, 0x69a173b5, 0xb7b532d6, - 0x699de721, 0xb7b00387, - 0x699a5a4c, 0xb7aad465, 0x6996cd35, 0xb7a5a570, 0x69933fde, 0xb7a076a7, - 0x698fb246, 0xb79b480b, - 0x698c246c, 0xb796199b, 0x69889651, 0xb790eb58, 0x698507f6, 0xb78bbd42, - 0x69817959, 0xb7868f59, - 0x697dea7b, 0xb781619c, 0x697a5b5c, 0xb77c340c, 0x6976cbfc, 0xb77706a9, - 0x69733c5b, 0xb771d972, - 0x696fac78, 0xb76cac69, 0x696c1c55, 0xb7677f8c, 0x69688bf1, 0xb76252db, - 0x6964fb4c, 0xb75d2658, - 0x69616a65, 0xb757fa01, 0x695dd93e, 0xb752cdd8, 0x695a47d6, 0xb74da1db, - 0x6956b62d, 0xb748760b, - 0x69532442, 0xb7434a67, 0x694f9217, 0xb73e1ef1, 0x694bffab, 0xb738f3a7, - 0x69486cfe, 0xb733c88b, - 0x6944da10, 0xb72e9d9b, 0x694146e1, 0xb72972d8, 0x693db371, 0xb7244842, - 0x693a1fc0, 0xb71f1dd9, - 0x69368bce, 0xb719f39e, 0x6932f79b, 0xb714c98e, 0x692f6328, 0xb70f9fac, - 0x692bce73, 0xb70a75f7, - 0x6928397e, 0xb7054c6f, 0x6924a448, 0xb7002314, 0x69210ed1, 0xb6faf9e6, - 0x691d7919, 0xb6f5d0e5, - 0x6919e320, 0xb6f0a812, 0x69164ce7, 0xb6eb7f6b, 0x6912b66c, 0xb6e656f1, - 0x690f1fb1, 0xb6e12ea4, - 0x690b88b5, 0xb6dc0685, 0x6907f178, 0xb6d6de92, 0x690459fb, 0xb6d1b6cd, - 0x6900c23c, 0xb6cc8f35, - 0x68fd2a3d, 0xb6c767ca, 0x68f991fd, 0xb6c2408c, 0x68f5f97d, 0xb6bd197c, - 0x68f260bb, 0xb6b7f298, - 0x68eec7b9, 0xb6b2cbe2, 0x68eb2e76, 0xb6ada559, 0x68e794f3, 0xb6a87efd, - 0x68e3fb2e, 0xb6a358ce, - 0x68e06129, 0xb69e32cd, 0x68dcc6e4, 0xb6990cf9, 0x68d92c5d, 0xb693e752, - 0x68d59196, 0xb68ec1d9, - 0x68d1f68f, 0xb6899c8d, 0x68ce5b46, 0xb684776e, 0x68cabfbd, 0xb67f527c, - 0x68c723f3, 0xb67a2db8, - 0x68c387e9, 0xb6750921, 0x68bfeb9e, 0xb66fe4b8, 0x68bc4f13, 0xb66ac07c, - 0x68b8b247, 0xb6659c6d, - 0x68b5153a, 0xb660788c, 0x68b177ed, 0xb65b54d8, 0x68adda5f, 0xb6563151, - 0x68aa3c90, 0xb6510df8, - 0x68a69e81, 0xb64beacd, 0x68a30031, 0xb646c7ce, 0x689f61a1, 0xb641a4fe, - 0x689bc2d1, 0xb63c825b, - 0x689823bf, 0xb6375fe5, 0x6894846e, 0xb6323d9d, 0x6890e4dc, 0xb62d1b82, - 0x688d4509, 0xb627f995, - 0x6889a4f6, 0xb622d7d6, 0x688604a2, 0xb61db644, 0x6882640e, 0xb61894df, - 0x687ec339, 0xb61373a9, - 0x687b2224, 0xb60e529f, 0x687780ce, 0xb60931c4, 0x6873df38, 0xb6041116, - 0x68703d62, 0xb5fef095, - 0x686c9b4b, 0xb5f9d043, 0x6868f8f4, 0xb5f4b01e, 0x6865565c, 0xb5ef9026, - 0x6861b384, 0xb5ea705d, - 0x685e106c, 0xb5e550c1, 0x685a6d13, 0xb5e03153, 0x6856c979, 0xb5db1212, - 0x685325a0, 0xb5d5f2ff, - 0x684f8186, 0xb5d0d41a, 0x684bdd2c, 0xb5cbb563, 0x68483891, 0xb5c696da, - 0x684493b6, 0xb5c1787e, - 0x6840ee9b, 0xb5bc5a50, 0x683d493f, 0xb5b73c50, 0x6839a3a4, 0xb5b21e7e, - 0x6835fdc7, 0xb5ad00d9, - 0x683257ab, 0xb5a7e362, 0x682eb14e, 0xb5a2c61a, 0x682b0ab1, 0xb59da8ff, - 0x682763d4, 0xb5988c12, - 0x6823bcb7, 0xb5936f53, 0x68201559, 0xb58e52c2, 0x681c6dbb, 0xb589365e, - 0x6818c5dd, 0xb5841a29, - 0x68151dbe, 0xb57efe22, 0x68117560, 0xb579e248, 0x680dccc1, 0xb574c69d, - 0x680a23e2, 0xb56fab1f, - 0x68067ac3, 0xb56a8fd0, 0x6802d164, 0xb56574ae, 0x67ff27c4, 0xb56059bb, - 0x67fb7de5, 0xb55b3ef5, - 0x67f7d3c5, 0xb556245e, 0x67f42965, 0xb55109f5, 0x67f07ec5, 0xb54befba, - 0x67ecd3e5, 0xb546d5ac, - 0x67e928c5, 0xb541bbcd, 0x67e57d64, 0xb53ca21c, 0x67e1d1c4, 0xb5378899, - 0x67de25e3, 0xb5326f45, - 0x67da79c3, 0xb52d561e, 0x67d6cd62, 0xb5283d26, 0x67d320c1, 0xb523245b, - 0x67cf73e1, 0xb51e0bbf, - 0x67cbc6c0, 0xb518f351, 0x67c8195f, 0xb513db12, 0x67c46bbe, 0xb50ec300, - 0x67c0bddd, 0xb509ab1d, - 0x67bd0fbd, 0xb5049368, 0x67b9615c, 0xb4ff7be1, 0x67b5b2bb, 0xb4fa6489, - 0x67b203da, 0xb4f54d5f, - 0x67ae54ba, 0xb4f03663, 0x67aaa559, 0xb4eb1f95, 0x67a6f5b8, 0xb4e608f6, - 0x67a345d8, 0xb4e0f285, - 0x679f95b7, 0xb4dbdc42, 0x679be557, 0xb4d6c62e, 0x679834b6, 0xb4d1b048, - 0x679483d6, 0xb4cc9a90, - 0x6790d2b6, 0xb4c78507, 0x678d2156, 0xb4c26fad, 0x67896fb6, 0xb4bd5a80, - 0x6785bdd6, 0xb4b84582, - 0x67820bb7, 0xb4b330b3, 0x677e5957, 0xb4ae1c12, 0x677aa6b8, 0xb4a9079f, - 0x6776f3d9, 0xb4a3f35b, - 0x677340ba, 0xb49edf45, 0x676f8d5b, 0xb499cb5e, 0x676bd9bd, 0xb494b7a6, - 0x676825de, 0xb48fa41c, - 0x676471c0, 0xb48a90c0, 0x6760bd62, 0xb4857d93, 0x675d08c4, 0xb4806a95, - 0x675953e7, 0xb47b57c5, - 0x67559eca, 0xb4764523, 0x6751e96d, 0xb47132b1, 0x674e33d0, 0xb46c206d, - 0x674a7df4, 0xb4670e57, - 0x6746c7d8, 0xb461fc70, 0x6743117c, 0xb45ceab8, 0x673f5ae0, 0xb457d92f, - 0x673ba405, 0xb452c7d4, - 0x6737ecea, 0xb44db6a8, 0x67343590, 0xb448a5aa, 0x67307df5, 0xb44394db, - 0x672cc61c, 0xb43e843b, - 0x67290e02, 0xb43973ca, 0x672555a9, 0xb4346387, 0x67219d10, 0xb42f5373, - 0x671de438, 0xb42a438e, - 0x671a2b20, 0xb42533d8, 0x671671c8, 0xb4202451, 0x6712b831, 0xb41b14f8, - 0x670efe5a, 0xb41605ce, - 0x670b4444, 0xb410f6d3, 0x670789ee, 0xb40be807, 0x6703cf58, 0xb406d969, - 0x67001483, 0xb401cafb, - 0x66fc596f, 0xb3fcbcbb, 0x66f89e1b, 0xb3f7aeaa, 0x66f4e287, 0xb3f2a0c9, - 0x66f126b4, 0xb3ed9316, - 0x66ed6aa1, 0xb3e88592, 0x66e9ae4f, 0xb3e3783d, 0x66e5f1be, 0xb3de6b17, - 0x66e234ed, 0xb3d95e1f, - 0x66de77dc, 0xb3d45157, 0x66daba8c, 0xb3cf44be, 0x66d6fcfd, 0xb3ca3854, - 0x66d33f2e, 0xb3c52c19, - 0x66cf8120, 0xb3c0200c, 0x66cbc2d2, 0xb3bb142f, 0x66c80445, 0xb3b60881, - 0x66c44579, 0xb3b0fd02, - 0x66c0866d, 0xb3abf1b2, 0x66bcc721, 0xb3a6e691, 0x66b90797, 0xb3a1dba0, - 0x66b547cd, 0xb39cd0dd, - 0x66b187c3, 0xb397c649, 0x66adc77b, 0xb392bbe5, 0x66aa06f3, 0xb38db1b0, - 0x66a6462b, 0xb388a7aa, - 0x66a28524, 0xb3839dd3, 0x669ec3de, 0xb37e942b, 0x669b0259, 0xb3798ab2, - 0x66974095, 0xb3748169, - 0x66937e91, 0xb36f784f, 0x668fbc4e, 0xb36a6f64, 0x668bf9cb, 0xb36566a8, - 0x66883709, 0xb3605e1c, - 0x66847408, 0xb35b55bf, 0x6680b0c8, 0xb3564d91, 0x667ced49, 0xb3514592, - 0x6679298a, 0xb34c3dc3, - 0x6675658c, 0xb3473623, 0x6671a14f, 0xb3422eb2, 0x666ddcd3, 0xb33d2771, - 0x666a1818, 0xb338205f, - 0x6666531d, 0xb333197c, 0x66628de4, 0xb32e12c9, 0x665ec86b, 0xb3290c45, - 0x665b02b3, 0xb32405f1, - 0x66573cbb, 0xb31effcc, 0x66537685, 0xb319f9d6, 0x664fb010, 0xb314f410, - 0x664be95b, 0xb30fee79, - 0x66482267, 0xb30ae912, 0x66445b35, 0xb305e3da, 0x664093c3, 0xb300ded2, - 0x663ccc12, 0xb2fbd9f9, - 0x66390422, 0xb2f6d550, 0x66353bf3, 0xb2f1d0d6, 0x66317385, 0xb2eccc8c, - 0x662daad8, 0xb2e7c871, - 0x6629e1ec, 0xb2e2c486, 0x662618c1, 0xb2ddc0ca, 0x66224f56, 0xb2d8bd3e, - 0x661e85ad, 0xb2d3b9e2, - 0x661abbc5, 0xb2ceb6b5, 0x6616f19e, 0xb2c9b3b8, 0x66132738, 0xb2c4b0ea, - 0x660f5c93, 0xb2bfae4c, - 0x660b91af, 0xb2baabde, 0x6607c68c, 0xb2b5a99f, 0x6603fb2a, 0xb2b0a790, - 0x66002f89, 0xb2aba5b1, - 0x65fc63a9, 0xb2a6a402, 0x65f8978b, 0xb2a1a282, 0x65f4cb2d, 0xb29ca132, - 0x65f0fe91, 0xb297a011, - 0x65ed31b5, 0xb2929f21, 0x65e9649b, 0xb28d9e60, 0x65e59742, 0xb2889dcf, - 0x65e1c9aa, 0xb2839d6d, - 0x65ddfbd3, 0xb27e9d3c, 0x65da2dbd, 0xb2799d3a, 0x65d65f69, 0xb2749d68, - 0x65d290d6, 0xb26f9dc6, - 0x65cec204, 0xb26a9e54, 0x65caf2f3, 0xb2659f12, 0x65c723a3, 0xb2609fff, - 0x65c35415, 0xb25ba11d, - 0x65bf8447, 0xb256a26a, 0x65bbb43b, 0xb251a3e7, 0x65b7e3f1, 0xb24ca594, - 0x65b41367, 0xb247a771, - 0x65b0429f, 0xb242a97e, 0x65ac7198, 0xb23dabbb, 0x65a8a052, 0xb238ae28, - 0x65a4cece, 0xb233b0c5, - 0x65a0fd0b, 0xb22eb392, 0x659d2b09, 0xb229b68f, 0x659958c9, 0xb224b9bc, - 0x6595864a, 0xb21fbd19, - 0x6591b38c, 0xb21ac0a6, 0x658de08f, 0xb215c463, 0x658a0d54, 0xb210c850, - 0x658639db, 0xb20bcc6d, - 0x65826622, 0xb206d0ba, 0x657e922b, 0xb201d537, 0x657abdf6, 0xb1fcd9e5, - 0x6576e982, 0xb1f7dec2, - 0x657314cf, 0xb1f2e3d0, 0x656f3fde, 0xb1ede90e, 0x656b6aae, 0xb1e8ee7c, - 0x6567953f, 0xb1e3f41a, - 0x6563bf92, 0xb1def9e9, 0x655fe9a7, 0xb1d9ffe7, 0x655c137d, 0xb1d50616, - 0x65583d14, 0xb1d00c75, - 0x6554666d, 0xb1cb1304, 0x65508f87, 0xb1c619c3, 0x654cb863, 0xb1c120b3, - 0x6548e101, 0xb1bc27d3, - 0x6545095f, 0xb1b72f23, 0x65413180, 0xb1b236a4, 0x653d5962, 0xb1ad3e55, - 0x65398105, 0xb1a84636, - 0x6535a86b, 0xb1a34e47, 0x6531cf91, 0xb19e5689, 0x652df679, 0xb1995efb, - 0x652a1d23, 0xb194679e, - 0x6526438f, 0xb18f7071, 0x652269bc, 0xb18a7974, 0x651e8faa, 0xb18582a8, - 0x651ab55b, 0xb1808c0c, - 0x6516dacd, 0xb17b95a0, 0x65130000, 0xb1769f65, 0x650f24f5, 0xb171a95b, - 0x650b49ac, 0xb16cb380, - 0x65076e25, 0xb167bdd7, 0x6503925f, 0xb162c85d, 0x64ffb65b, 0xb15dd315, - 0x64fbda18, 0xb158ddfd, - 0x64f7fd98, 0xb153e915, 0x64f420d9, 0xb14ef45e, 0x64f043dc, 0xb149ffd7, - 0x64ec66a0, 0xb1450b81, - 0x64e88926, 0xb140175b, 0x64e4ab6e, 0xb13b2367, 0x64e0cd78, 0xb1362fa2, - 0x64dcef44, 0xb1313c0e, - 0x64d910d1, 0xb12c48ab, 0x64d53220, 0xb1275579, 0x64d15331, 0xb1226277, - 0x64cd7404, 0xb11d6fa6, - 0x64c99498, 0xb1187d05, 0x64c5b4ef, 0xb1138a95, 0x64c1d507, 0xb10e9856, - 0x64bdf4e1, 0xb109a648, - 0x64ba147d, 0xb104b46a, 0x64b633da, 0xb0ffc2bd, 0x64b252fa, 0xb0fad140, - 0x64ae71dc, 0xb0f5dff5, - 0x64aa907f, 0xb0f0eeda, 0x64a6aee4, 0xb0ebfdf0, 0x64a2cd0c, 0xb0e70d37, - 0x649eeaf5, 0xb0e21cae, - 0x649b08a0, 0xb0dd2c56, 0x6497260d, 0xb0d83c2f, 0x6493433c, 0xb0d34c39, - 0x648f602d, 0xb0ce5c74, - 0x648b7ce0, 0xb0c96ce0, 0x64879955, 0xb0c47d7c, 0x6483b58c, 0xb0bf8e4a, - 0x647fd185, 0xb0ba9f48, - 0x647bed3f, 0xb0b5b077, 0x647808bc, 0xb0b0c1d7, 0x647423fb, 0xb0abd368, - 0x64703efc, 0xb0a6e52a, - 0x646c59bf, 0xb0a1f71d, 0x64687444, 0xb09d0941, 0x64648e8c, 0xb0981b96, - 0x6460a895, 0xb0932e1b, - 0x645cc260, 0xb08e40d2, 0x6458dbed, 0xb08953ba, 0x6454f53d, 0xb08466d3, - 0x64510e4e, 0xb07f7a1c, - 0x644d2722, 0xb07a8d97, 0x64493fb8, 0xb075a143, 0x64455810, 0xb070b520, - 0x6441702a, 0xb06bc92e, - 0x643d8806, 0xb066dd6d, 0x64399fa5, 0xb061f1de, 0x6435b706, 0xb05d067f, - 0x6431ce28, 0xb0581b51, - 0x642de50d, 0xb0533055, 0x6429fbb5, 0xb04e458a, 0x6426121e, 0xb0495af0, - 0x6422284a, 0xb0447087, - 0x641e3e38, 0xb03f864f, 0x641a53e8, 0xb03a9c49, 0x6416695a, 0xb035b273, - 0x64127e8f, 0xb030c8cf, - 0x640e9386, 0xb02bdf5c, 0x640aa83f, 0xb026f61b, 0x6406bcba, 0xb0220d0a, - 0x6402d0f8, 0xb01d242b, - 0x63fee4f8, 0xb0183b7d, 0x63faf8bb, 0xb0135301, 0x63f70c3f, 0xb00e6ab5, - 0x63f31f86, 0xb009829c, - 0x63ef3290, 0xb0049ab3, 0x63eb455c, 0xafffb2fc, 0x63e757ea, 0xaffacb76, - 0x63e36a3a, 0xaff5e421, - 0x63df7c4d, 0xaff0fcfe, 0x63db8e22, 0xafec160c, 0x63d79fba, 0xafe72f4c, - 0x63d3b114, 0xafe248bd, - 0x63cfc231, 0xafdd625f, 0x63cbd310, 0xafd87c33, 0x63c7e3b1, 0xafd39638, - 0x63c3f415, 0xafceb06f, - 0x63c0043b, 0xafc9cad7, 0x63bc1424, 0xafc4e571, 0x63b823cf, 0xafc0003c, - 0x63b4333d, 0xafbb1b39, - 0x63b0426d, 0xafb63667, 0x63ac5160, 0xafb151c7, 0x63a86015, 0xafac6d58, - 0x63a46e8d, 0xafa7891b, - 0x63a07cc7, 0xafa2a50f, 0x639c8ac4, 0xaf9dc135, 0x63989884, 0xaf98dd8d, - 0x6394a606, 0xaf93fa16, - 0x6390b34a, 0xaf8f16d1, 0x638cc051, 0xaf8a33bd, 0x6388cd1b, 0xaf8550db, - 0x6384d9a7, 0xaf806e2b, - 0x6380e5f6, 0xaf7b8bac, 0x637cf208, 0xaf76a95f, 0x6378fddc, 0xaf71c743, - 0x63750973, 0xaf6ce55a, - 0x637114cc, 0xaf6803a2, 0x636d1fe9, 0xaf63221c, 0x63692ac7, 0xaf5e40c7, - 0x63653569, 0xaf595fa4, - 0x63613fcd, 0xaf547eb3, 0x635d49f4, 0xaf4f9df4, 0x635953dd, 0xaf4abd66, - 0x63555d8a, 0xaf45dd0b, - 0x635166f9, 0xaf40fce1, 0x634d702b, 0xaf3c1ce9, 0x6349791f, 0xaf373d22, - 0x634581d6, 0xaf325d8e, - 0x63418a50, 0xaf2d7e2b, 0x633d928d, 0xaf289efa, 0x63399a8d, 0xaf23bffb, - 0x6335a24f, 0xaf1ee12e, - 0x6331a9d4, 0xaf1a0293, 0x632db11c, 0xaf15242a, 0x6329b827, 0xaf1045f3, - 0x6325bef5, 0xaf0b67ed, - 0x6321c585, 0xaf068a1a, 0x631dcbd9, 0xaf01ac78, 0x6319d1ef, 0xaefccf09, - 0x6315d7c8, 0xaef7f1cb, - 0x6311dd64, 0xaef314c0, 0x630de2c3, 0xaeee37e6, 0x6309e7e4, 0xaee95b3f, - 0x6305ecc9, 0xaee47ec9, - 0x6301f171, 0xaedfa285, 0x62fdf5db, 0xaedac674, 0x62f9fa09, 0xaed5ea95, - 0x62f5fdf9, 0xaed10ee7, - 0x62f201ac, 0xaecc336c, 0x62ee0523, 0xaec75823, 0x62ea085c, 0xaec27d0c, - 0x62e60b58, 0xaebda227, - 0x62e20e17, 0xaeb8c774, 0x62de109a, 0xaeb3ecf3, 0x62da12df, 0xaeaf12a4, - 0x62d614e7, 0xaeaa3888, - 0x62d216b3, 0xaea55e9e, 0x62ce1841, 0xaea084e6, 0x62ca1992, 0xae9bab60, - 0x62c61aa7, 0xae96d20c, - 0x62c21b7e, 0xae91f8eb, 0x62be1c19, 0xae8d1ffb, 0x62ba1c77, 0xae88473e, - 0x62b61c98, 0xae836eb4, - 0x62b21c7b, 0xae7e965b, 0x62ae1c23, 0xae79be35, 0x62aa1b8d, 0xae74e641, - 0x62a61aba, 0xae700e80, - 0x62a219aa, 0xae6b36f0, 0x629e185e, 0xae665f93, 0x629a16d5, 0xae618869, - 0x6296150f, 0xae5cb171, - 0x6292130c, 0xae57daab, 0x628e10cc, 0xae530417, 0x628a0e50, 0xae4e2db6, - 0x62860b97, 0xae495787, - 0x628208a1, 0xae44818b, 0x627e056e, 0xae3fabc1, 0x627a01fe, 0xae3ad629, - 0x6275fe52, 0xae3600c4, - 0x6271fa69, 0xae312b92, 0x626df643, 0xae2c5691, 0x6269f1e1, 0xae2781c4, - 0x6265ed42, 0xae22ad29, - 0x6261e866, 0xae1dd8c0, 0x625de34e, 0xae19048a, 0x6259ddf8, 0xae143086, - 0x6255d866, 0xae0f5cb5, - 0x6251d298, 0xae0a8916, 0x624dcc8d, 0xae05b5aa, 0x6249c645, 0xae00e271, - 0x6245bfc0, 0xadfc0f6a, - 0x6241b8ff, 0xadf73c96, 0x623db202, 0xadf269f4, 0x6239aac7, 0xaded9785, - 0x6235a351, 0xade8c548, - 0x62319b9d, 0xade3f33e, 0x622d93ad, 0xaddf2167, 0x62298b81, 0xadda4fc3, - 0x62258317, 0xadd57e51, - 0x62217a72, 0xadd0ad12, 0x621d7190, 0xadcbdc05, 0x62196871, 0xadc70b2c, - 0x62155f16, 0xadc23a85, - 0x6211557e, 0xadbd6a10, 0x620d4baa, 0xadb899cf, 0x62094199, 0xadb3c9c0, - 0x6205374c, 0xadaef9e4, - 0x62012cc2, 0xadaa2a3b, 0x61fd21fc, 0xada55ac4, 0x61f916f9, 0xada08b80, - 0x61f50bba, 0xad9bbc70, - 0x61f1003f, 0xad96ed92, 0x61ecf487, 0xad921ee6, 0x61e8e893, 0xad8d506e, - 0x61e4dc62, 0xad888229, - 0x61e0cff5, 0xad83b416, 0x61dcc34c, 0xad7ee636, 0x61d8b666, 0xad7a1889, - 0x61d4a944, 0xad754b0f, - 0x61d09be5, 0xad707dc8, 0x61cc8e4b, 0xad6bb0b4, 0x61c88074, 0xad66e3d3, - 0x61c47260, 0xad621725, - 0x61c06410, 0xad5d4aaa, 0x61bc5584, 0xad587e61, 0x61b846bc, 0xad53b24c, - 0x61b437b7, 0xad4ee66a, - 0x61b02876, 0xad4a1aba, 0x61ac18f9, 0xad454f3e, 0x61a80940, 0xad4083f5, - 0x61a3f94a, 0xad3bb8df, - 0x619fe918, 0xad36edfc, 0x619bd8aa, 0xad32234b, 0x6197c800, 0xad2d58ce, - 0x6193b719, 0xad288e85, - 0x618fa5f7, 0xad23c46e, 0x618b9498, 0xad1efa8a, 0x618782fd, 0xad1a30d9, - 0x61837126, 0xad15675c, - 0x617f5f12, 0xad109e12, 0x617b4cc3, 0xad0bd4fb, 0x61773a37, 0xad070c17, - 0x61732770, 0xad024366, - 0x616f146c, 0xacfd7ae8, 0x616b012c, 0xacf8b29e, 0x6166edb0, 0xacf3ea87, - 0x6162d9f8, 0xacef22a3, - 0x615ec603, 0xacea5af2, 0x615ab1d3, 0xace59375, 0x61569d67, 0xace0cc2b, - 0x615288be, 0xacdc0514, - 0x614e73da, 0xacd73e30, 0x614a5eba, 0xacd27780, 0x6146495d, 0xaccdb103, - 0x614233c5, 0xacc8eab9, - 0x613e1df0, 0xacc424a3, 0x613a07e0, 0xacbf5ec0, 0x6135f193, 0xacba9910, - 0x6131db0b, 0xacb5d394, - 0x612dc447, 0xacb10e4b, 0x6129ad46, 0xacac4935, 0x6125960a, 0xaca78453, - 0x61217e92, 0xaca2bfa4, - 0x611d66de, 0xac9dfb29, 0x61194eee, 0xac9936e1, 0x611536c2, 0xac9472cd, - 0x61111e5b, 0xac8faeec, - 0x610d05b7, 0xac8aeb3e, 0x6108ecd8, 0xac8627c4, 0x6104d3bc, 0xac81647e, - 0x6100ba65, 0xac7ca16b, - 0x60fca0d2, 0xac77de8b, 0x60f88703, 0xac731bdf, 0x60f46cf9, 0xac6e5967, - 0x60f052b2, 0xac699722, - 0x60ec3830, 0xac64d510, 0x60e81d72, 0xac601333, 0x60e40278, 0xac5b5189, - 0x60dfe743, 0xac569012, - 0x60dbcbd1, 0xac51cecf, 0x60d7b024, 0xac4d0dc0, 0x60d3943b, 0xac484ce4, - 0x60cf7817, 0xac438c3c, - 0x60cb5bb7, 0xac3ecbc7, 0x60c73f1b, 0xac3a0b87, 0x60c32243, 0xac354b7a, - 0x60bf0530, 0xac308ba0, - 0x60bae7e1, 0xac2bcbfa, 0x60b6ca56, 0xac270c88, 0x60b2ac8f, 0xac224d4a, - 0x60ae8e8d, 0xac1d8e40, - 0x60aa7050, 0xac18cf69, 0x60a651d7, 0xac1410c6, 0x60a23322, 0xac0f5256, - 0x609e1431, 0xac0a941b, - 0x6099f505, 0xac05d613, 0x6095d59d, 0xac01183f, 0x6091b5fa, 0xabfc5a9f, - 0x608d961b, 0xabf79d33, - 0x60897601, 0xabf2dffb, 0x608555ab, 0xabee22f6, 0x60813519, 0xabe96625, - 0x607d144c, 0xabe4a988, - 0x6078f344, 0xabdfed1f, 0x6074d200, 0xabdb30ea, 0x6070b080, 0xabd674e9, - 0x606c8ec5, 0xabd1b91c, - 0x60686ccf, 0xabccfd83, 0x60644a9d, 0xabc8421d, 0x6060282f, 0xabc386ec, - 0x605c0587, 0xabbecbee, - 0x6057e2a2, 0xabba1125, 0x6053bf82, 0xabb5568f, 0x604f9c27, 0xabb09c2e, - 0x604b7891, 0xababe200, - 0x604754bf, 0xaba72807, 0x604330b1, 0xaba26e41, 0x603f0c69, 0xab9db4b0, - 0x603ae7e5, 0xab98fb52, - 0x6036c325, 0xab944229, 0x60329e2a, 0xab8f8934, 0x602e78f4, 0xab8ad073, - 0x602a5383, 0xab8617e6, - 0x60262dd6, 0xab815f8d, 0x602207ee, 0xab7ca768, 0x601de1ca, 0xab77ef77, - 0x6019bb6b, 0xab7337bb, - 0x601594d1, 0xab6e8032, 0x60116dfc, 0xab69c8de, 0x600d46ec, 0xab6511be, - 0x60091fa0, 0xab605ad2, - 0x6004f819, 0xab5ba41a, 0x6000d057, 0xab56ed97, 0x5ffca859, 0xab523748, - 0x5ff88021, 0xab4d812d, - 0x5ff457ad, 0xab48cb46, 0x5ff02efe, 0xab441593, 0x5fec0613, 0xab3f6015, - 0x5fe7dcee, 0xab3aaacb, - 0x5fe3b38d, 0xab35f5b5, 0x5fdf89f2, 0xab3140d4, 0x5fdb601b, 0xab2c8c27, - 0x5fd73609, 0xab27d7ae, - 0x5fd30bbc, 0xab23236a, 0x5fcee133, 0xab1e6f5a, 0x5fcab670, 0xab19bb7e, - 0x5fc68b72, 0xab1507d7, - 0x5fc26038, 0xab105464, 0x5fbe34c4, 0xab0ba125, 0x5fba0914, 0xab06ee1b, - 0x5fb5dd29, 0xab023b46, - 0x5fb1b104, 0xaafd88a4, 0x5fad84a3, 0xaaf8d637, 0x5fa95807, 0xaaf423ff, - 0x5fa52b31, 0xaaef71fb, - 0x5fa0fe1f, 0xaaeac02c, 0x5f9cd0d2, 0xaae60e91, 0x5f98a34a, 0xaae15d2a, - 0x5f947588, 0xaadcabf8, - 0x5f90478a, 0xaad7fafb, 0x5f8c1951, 0xaad34a32, 0x5f87eade, 0xaace999d, - 0x5f83bc2f, 0xaac9e93e, - 0x5f7f8d46, 0xaac53912, 0x5f7b5e22, 0xaac0891c, 0x5f772ec2, 0xaabbd959, - 0x5f72ff28, 0xaab729cc, - 0x5f6ecf53, 0xaab27a73, 0x5f6a9f44, 0xaaadcb4f, 0x5f666ef9, 0xaaa91c5f, - 0x5f623e73, 0xaaa46da4, - 0x5f5e0db3, 0xaa9fbf1e, 0x5f59dcb8, 0xaa9b10cc, 0x5f55ab82, 0xaa9662af, - 0x5f517a11, 0xaa91b4c7, - 0x5f4d4865, 0xaa8d0713, 0x5f49167f, 0xaa885994, 0x5f44e45e, 0xaa83ac4a, - 0x5f40b202, 0xaa7eff34, - 0x5f3c7f6b, 0xaa7a5253, 0x5f384c9a, 0xaa75a5a8, 0x5f34198e, 0xaa70f930, - 0x5f2fe647, 0xaa6c4cee, - 0x5f2bb2c5, 0xaa67a0e0, 0x5f277f09, 0xaa62f507, 0x5f234b12, 0xaa5e4963, - 0x5f1f16e0, 0xaa599df4, - 0x5f1ae274, 0xaa54f2ba, 0x5f16adcc, 0xaa5047b4, 0x5f1278eb, 0xaa4b9ce3, - 0x5f0e43ce, 0xaa46f248, - 0x5f0a0e77, 0xaa4247e1, 0x5f05d8e6, 0xaa3d9daf, 0x5f01a31a, 0xaa38f3b1, - 0x5efd6d13, 0xaa3449e9, - 0x5ef936d1, 0xaa2fa056, 0x5ef50055, 0xaa2af6f7, 0x5ef0c99f, 0xaa264dce, - 0x5eec92ae, 0xaa21a4d9, - 0x5ee85b82, 0xaa1cfc1a, 0x5ee4241c, 0xaa18538f, 0x5edfec7b, 0xaa13ab3a, - 0x5edbb49f, 0xaa0f0319, - 0x5ed77c8a, 0xaa0a5b2e, 0x5ed34439, 0xaa05b377, 0x5ecf0baf, 0xaa010bf6, - 0x5ecad2e9, 0xa9fc64a9, - 0x5ec699e9, 0xa9f7bd92, 0x5ec260af, 0xa9f316b0, 0x5ebe273b, 0xa9ee7002, - 0x5eb9ed8b, 0xa9e9c98a, - 0x5eb5b3a2, 0xa9e52347, 0x5eb1797e, 0xa9e07d39, 0x5ead3f1f, 0xa9dbd761, - 0x5ea90487, 0xa9d731bd, - 0x5ea4c9b3, 0xa9d28c4e, 0x5ea08ea6, 0xa9cde715, 0x5e9c535e, 0xa9c94211, - 0x5e9817dc, 0xa9c49d42, - 0x5e93dc1f, 0xa9bff8a8, 0x5e8fa028, 0xa9bb5444, 0x5e8b63f7, 0xa9b6b014, - 0x5e87278b, 0xa9b20c1a, - 0x5e82eae5, 0xa9ad6855, 0x5e7eae05, 0xa9a8c4c5, 0x5e7a70ea, 0xa9a4216b, - 0x5e763395, 0xa99f7e46, - 0x5e71f606, 0xa99adb56, 0x5e6db83d, 0xa996389b, 0x5e697a39, 0xa9919616, - 0x5e653bfc, 0xa98cf3c6, - 0x5e60fd84, 0xa98851ac, 0x5e5cbed1, 0xa983afc6, 0x5e587fe5, 0xa97f0e16, - 0x5e5440be, 0xa97a6c9c, - 0x5e50015d, 0xa975cb57, 0x5e4bc1c2, 0xa9712a47, 0x5e4781ed, 0xa96c896c, - 0x5e4341de, 0xa967e8c7, - 0x5e3f0194, 0xa9634858, 0x5e3ac110, 0xa95ea81d, 0x5e368053, 0xa95a0819, - 0x5e323f5b, 0xa9556849, - 0x5e2dfe29, 0xa950c8b0, 0x5e29bcbd, 0xa94c294b, 0x5e257b17, 0xa9478a1c, - 0x5e213936, 0xa942eb23, - 0x5e1cf71c, 0xa93e4c5f, 0x5e18b4c8, 0xa939add1, 0x5e147239, 0xa9350f78, - 0x5e102f71, 0xa9307155, - 0x5e0bec6e, 0xa92bd367, 0x5e07a932, 0xa92735af, 0x5e0365bb, 0xa922982c, - 0x5dff220b, 0xa91dfadf, - 0x5dfade20, 0xa9195dc7, 0x5df699fc, 0xa914c0e6, 0x5df2559e, 0xa9102439, - 0x5dee1105, 0xa90b87c3, - 0x5de9cc33, 0xa906eb82, 0x5de58727, 0xa9024f76, 0x5de141e1, 0xa8fdb3a1, - 0x5ddcfc61, 0xa8f91801, - 0x5dd8b6a7, 0xa8f47c97, 0x5dd470b3, 0xa8efe162, 0x5dd02a85, 0xa8eb4663, - 0x5dcbe41d, 0xa8e6ab9a, - 0x5dc79d7c, 0xa8e21106, 0x5dc356a1, 0xa8dd76a9, 0x5dbf0f8c, 0xa8d8dc81, - 0x5dbac83d, 0xa8d4428f, - 0x5db680b4, 0xa8cfa8d2, 0x5db238f1, 0xa8cb0f4b, 0x5dadf0f5, 0xa8c675fb, - 0x5da9a8bf, 0xa8c1dce0, - 0x5da5604f, 0xa8bd43fa, 0x5da117a5, 0xa8b8ab4b, 0x5d9ccec2, 0xa8b412d1, - 0x5d9885a5, 0xa8af7a8e, - 0x5d943c4e, 0xa8aae280, 0x5d8ff2bd, 0xa8a64aa8, 0x5d8ba8f3, 0xa8a1b306, - 0x5d875eef, 0xa89d1b99, - 0x5d8314b1, 0xa8988463, 0x5d7eca39, 0xa893ed63, 0x5d7a7f88, 0xa88f5698, - 0x5d76349d, 0xa88ac004, - 0x5d71e979, 0xa88629a5, 0x5d6d9e1b, 0xa881937c, 0x5d695283, 0xa87cfd8a, - 0x5d6506b2, 0xa87867cd, - 0x5d60baa7, 0xa873d246, 0x5d5c6e62, 0xa86f3cf6, 0x5d5821e4, 0xa86aa7db, - 0x5d53d52d, 0xa86612f6, - 0x5d4f883b, 0xa8617e48, 0x5d4b3b10, 0xa85ce9cf, 0x5d46edac, 0xa858558d, - 0x5d42a00e, 0xa853c180, - 0x5d3e5237, 0xa84f2daa, 0x5d3a0426, 0xa84a9a0a, 0x5d35b5db, 0xa84606a0, - 0x5d316757, 0xa841736c, - 0x5d2d189a, 0xa83ce06e, 0x5d28c9a3, 0xa8384da6, 0x5d247a72, 0xa833bb14, - 0x5d202b09, 0xa82f28b9, - 0x5d1bdb65, 0xa82a9693, 0x5d178b89, 0xa82604a4, 0x5d133b72, 0xa82172eb, - 0x5d0eeb23, 0xa81ce169, - 0x5d0a9a9a, 0xa818501c, 0x5d0649d7, 0xa813bf06, 0x5d01f8dc, 0xa80f2e26, - 0x5cfda7a7, 0xa80a9d7c, - 0x5cf95638, 0xa8060d08, 0x5cf50490, 0xa8017ccb, 0x5cf0b2af, 0xa7fcecc4, - 0x5cec6095, 0xa7f85cf3, - 0x5ce80e41, 0xa7f3cd59, 0x5ce3bbb4, 0xa7ef3df5, 0x5cdf68ed, 0xa7eaaec7, - 0x5cdb15ed, 0xa7e61fd0, - 0x5cd6c2b5, 0xa7e1910f, 0x5cd26f42, 0xa7dd0284, 0x5cce1b97, 0xa7d8742f, - 0x5cc9c7b2, 0xa7d3e611, - 0x5cc57394, 0xa7cf582a, 0x5cc11f3d, 0xa7caca79, 0x5cbccaac, 0xa7c63cfe, - 0x5cb875e3, 0xa7c1afb9, - 0x5cb420e0, 0xa7bd22ac, 0x5cafcba4, 0xa7b895d4, 0x5cab762f, 0xa7b40933, - 0x5ca72080, 0xa7af7cc8, - 0x5ca2ca99, 0xa7aaf094, 0x5c9e7478, 0xa7a66497, 0x5c9a1e1e, 0xa7a1d8d0, - 0x5c95c78b, 0xa79d4d3f, - 0x5c9170bf, 0xa798c1e5, 0x5c8d19ba, 0xa79436c1, 0x5c88c27c, 0xa78fabd4, - 0x5c846b05, 0xa78b211e, - 0x5c801354, 0xa786969e, 0x5c7bbb6b, 0xa7820c55, 0x5c776348, 0xa77d8242, - 0x5c730aed, 0xa778f866, - 0x5c6eb258, 0xa7746ec0, 0x5c6a598b, 0xa76fe551, 0x5c660084, 0xa76b5c19, - 0x5c61a745, 0xa766d317, - 0x5c5d4dcc, 0xa7624a4d, 0x5c58f41a, 0xa75dc1b8, 0x5c549a30, 0xa759395b, - 0x5c50400d, 0xa754b134, - 0x5c4be5b0, 0xa7502943, 0x5c478b1b, 0xa74ba18a, 0x5c43304d, 0xa7471a07, - 0x5c3ed545, 0xa74292bb, - 0x5c3a7a05, 0xa73e0ba5, 0x5c361e8c, 0xa73984c7, 0x5c31c2db, 0xa734fe1f, - 0x5c2d66f0, 0xa73077ae, - 0x5c290acc, 0xa72bf174, 0x5c24ae70, 0xa7276b70, 0x5c2051db, 0xa722e5a3, - 0x5c1bf50d, 0xa71e600d, - 0x5c179806, 0xa719daae, 0x5c133ac6, 0xa7155586, 0x5c0edd4e, 0xa710d095, - 0x5c0a7f9c, 0xa70c4bda, - 0x5c0621b2, 0xa707c757, 0x5c01c38f, 0xa703430a, 0x5bfd6534, 0xa6febef4, - 0x5bf906a0, 0xa6fa3b15, - 0x5bf4a7d2, 0xa6f5b76d, 0x5bf048cd, 0xa6f133fc, 0x5bebe98e, 0xa6ecb0c2, - 0x5be78a17, 0xa6e82dbe, - 0x5be32a67, 0xa6e3aaf2, 0x5bdeca7f, 0xa6df285d, 0x5bda6a5d, 0xa6daa5fe, - 0x5bd60a03, 0xa6d623d7, - 0x5bd1a971, 0xa6d1a1e7, 0x5bcd48a6, 0xa6cd202d, 0x5bc8e7a2, 0xa6c89eab, - 0x5bc48666, 0xa6c41d60, - 0x5bc024f0, 0xa6bf9c4b, 0x5bbbc343, 0xa6bb1b6e, 0x5bb7615d, 0xa6b69ac8, - 0x5bb2ff3e, 0xa6b21a59, - 0x5bae9ce7, 0xa6ad9a21, 0x5baa3a57, 0xa6a91a20, 0x5ba5d78e, 0xa6a49a56, - 0x5ba1748d, 0xa6a01ac4, - 0x5b9d1154, 0xa69b9b68, 0x5b98ade2, 0xa6971c44, 0x5b944a37, 0xa6929d57, - 0x5b8fe654, 0xa68e1ea1, - 0x5b8b8239, 0xa689a022, 0x5b871de5, 0xa68521da, 0x5b82b958, 0xa680a3ca, - 0x5b7e5493, 0xa67c25f0, - 0x5b79ef96, 0xa677a84e, 0x5b758a60, 0xa6732ae3, 0x5b7124f2, 0xa66eadb0, - 0x5b6cbf4c, 0xa66a30b3, - 0x5b68596d, 0xa665b3ee, 0x5b63f355, 0xa6613760, 0x5b5f8d06, 0xa65cbb0a, - 0x5b5b267e, 0xa6583eeb, - 0x5b56bfbd, 0xa653c303, 0x5b5258c4, 0xa64f4752, 0x5b4df193, 0xa64acbd9, - 0x5b498a2a, 0xa6465097, - 0x5b452288, 0xa641d58c, 0x5b40baae, 0xa63d5ab9, 0x5b3c529c, 0xa638e01d, - 0x5b37ea51, 0xa63465b9, - 0x5b3381ce, 0xa62feb8b, 0x5b2f1913, 0xa62b7196, 0x5b2ab020, 0xa626f7d7, - 0x5b2646f4, 0xa6227e50, - 0x5b21dd90, 0xa61e0501, 0x5b1d73f4, 0xa6198be9, 0x5b190a20, 0xa6151308, - 0x5b14a014, 0xa6109a5f, - 0x5b1035cf, 0xa60c21ee, 0x5b0bcb52, 0xa607a9b4, 0x5b07609d, 0xa60331b1, - 0x5b02f5b0, 0xa5feb9e6, - 0x5afe8a8b, 0xa5fa4252, 0x5afa1f2e, 0xa5f5caf6, 0x5af5b398, 0xa5f153d2, - 0x5af147ca, 0xa5ecdce5, - 0x5aecdbc5, 0xa5e8662f, 0x5ae86f87, 0xa5e3efb1, 0x5ae40311, 0xa5df796b, - 0x5adf9663, 0xa5db035c, - 0x5adb297d, 0xa5d68d85, 0x5ad6bc5f, 0xa5d217e6, 0x5ad24f09, 0xa5cda27e, - 0x5acde17b, 0xa5c92d4e, - 0x5ac973b5, 0xa5c4b855, 0x5ac505b7, 0xa5c04395, 0x5ac09781, 0xa5bbcf0b, - 0x5abc2912, 0xa5b75aba, - 0x5ab7ba6c, 0xa5b2e6a0, 0x5ab34b8e, 0xa5ae72be, 0x5aaedc78, 0xa5a9ff14, - 0x5aaa6d2b, 0xa5a58ba1, - 0x5aa5fda5, 0xa5a11866, 0x5aa18de7, 0xa59ca563, 0x5a9d1df1, 0xa5983297, - 0x5a98adc4, 0xa593c004, - 0x5a943d5e, 0xa58f4da8, 0x5a8fccc1, 0xa58adb84, 0x5a8b5bec, 0xa5866997, - 0x5a86eadf, 0xa581f7e3, - 0x5a82799a, 0xa57d8666, 0x5a7e081d, 0xa5791521, 0x5a799669, 0xa574a414, - 0x5a75247c, 0xa570333f, - 0x5a70b258, 0xa56bc2a2, 0x5a6c3ffc, 0xa567523c, 0x5a67cd69, 0xa562e20f, - 0x5a635a9d, 0xa55e7219, - 0x5a5ee79a, 0xa55a025b, 0x5a5a745f, 0xa55592d5, 0x5a5600ec, 0xa5512388, - 0x5a518d42, 0xa54cb472, - 0x5a4d1960, 0xa5484594, 0x5a48a546, 0xa543d6ee, 0x5a4430f5, 0xa53f687f, - 0x5a3fbc6b, 0xa53afa49, - 0x5a3b47ab, 0xa5368c4b, 0x5a36d2b2, 0xa5321e85, 0x5a325d82, 0xa52db0f7, - 0x5a2de81a, 0xa52943a1, - 0x5a29727b, 0xa524d683, 0x5a24fca4, 0xa520699d, 0x5a208695, 0xa51bfcef, - 0x5a1c104f, 0xa5179079, - 0x5a1799d1, 0xa513243b, 0x5a13231b, 0xa50eb836, 0x5a0eac2e, 0xa50a4c68, - 0x5a0a350a, 0xa505e0d2, - 0x5a05bdae, 0xa5017575, 0x5a01461a, 0xa4fd0a50, 0x59fcce4f, 0xa4f89f63, - 0x59f8564c, 0xa4f434ae, - 0x59f3de12, 0xa4efca31, 0x59ef65a1, 0xa4eb5fec, 0x59eaecf8, 0xa4e6f5e0, - 0x59e67417, 0xa4e28c0c, - 0x59e1faff, 0xa4de2270, 0x59dd81b0, 0xa4d9b90c, 0x59d90829, 0xa4d54fe0, - 0x59d48e6a, 0xa4d0e6ed, - 0x59d01475, 0xa4cc7e32, 0x59cb9a47, 0xa4c815af, 0x59c71fe3, 0xa4c3ad64, - 0x59c2a547, 0xa4bf4552, - 0x59be2a74, 0xa4badd78, 0x59b9af69, 0xa4b675d6, 0x59b53427, 0xa4b20e6d, - 0x59b0b8ae, 0xa4ada73c, - 0x59ac3cfd, 0xa4a94043, 0x59a7c115, 0xa4a4d982, 0x59a344f6, 0xa4a072fa, - 0x599ec8a0, 0xa49c0cab, - 0x599a4c12, 0xa497a693, 0x5995cf4d, 0xa49340b4, 0x59915250, 0xa48edb0e, - 0x598cd51d, 0xa48a75a0, - 0x598857b2, 0xa486106a, 0x5983da10, 0xa481ab6d, 0x597f5c36, 0xa47d46a8, - 0x597ade26, 0xa478e21b, - 0x59765fde, 0xa4747dc7, 0x5971e15f, 0xa47019ac, 0x596d62a9, 0xa46bb5c9, - 0x5968e3bc, 0xa467521e, - 0x59646498, 0xa462eeac, 0x595fe53c, 0xa45e8b73, 0x595b65aa, 0xa45a2872, - 0x5956e5e0, 0xa455c5a9, - 0x595265df, 0xa4516319, 0x594de5a7, 0xa44d00c2, 0x59496538, 0xa4489ea3, - 0x5944e492, 0xa4443cbd, - 0x594063b5, 0xa43fdb10, 0x593be2a0, 0xa43b799a, 0x59376155, 0xa437185e, - 0x5932dfd3, 0xa432b75a, - 0x592e5e19, 0xa42e568f, 0x5929dc29, 0xa429f5fd, 0x59255a02, 0xa42595a3, - 0x5920d7a3, 0xa4213581, - 0x591c550e, 0xa41cd599, 0x5917d242, 0xa41875e9, 0x59134f3e, 0xa4141672, - 0x590ecc04, 0xa40fb733, - 0x590a4893, 0xa40b582e, 0x5905c4eb, 0xa406f960, 0x5901410c, 0xa4029acc, - 0x58fcbcf6, 0xa3fe3c71, - 0x58f838a9, 0xa3f9de4e, 0x58f3b426, 0xa3f58064, 0x58ef2f6b, 0xa3f122b2, - 0x58eaaa7a, 0xa3ecc53a, - 0x58e62552, 0xa3e867fa, 0x58e19ff3, 0xa3e40af3, 0x58dd1a5d, 0xa3dfae25, - 0x58d89490, 0xa3db5190, - 0x58d40e8c, 0xa3d6f534, 0x58cf8852, 0xa3d29910, 0x58cb01e1, 0xa3ce3d25, - 0x58c67b39, 0xa3c9e174, - 0x58c1f45b, 0xa3c585fb, 0x58bd6d45, 0xa3c12abb, 0x58b8e5f9, 0xa3bccfb3, - 0x58b45e76, 0xa3b874e5, - 0x58afd6bd, 0xa3b41a50, 0x58ab4ecc, 0xa3afbff3, 0x58a6c6a5, 0xa3ab65d0, - 0x58a23e48, 0xa3a70be6, - 0x589db5b3, 0xa3a2b234, 0x58992ce9, 0xa39e58bb, 0x5894a3e7, 0xa399ff7c, - 0x58901aaf, 0xa395a675, - 0x588b9140, 0xa3914da8, 0x5887079a, 0xa38cf513, 0x58827dbe, 0xa3889cb8, - 0x587df3ab, 0xa3844495, - 0x58796962, 0xa37fecac, 0x5874dee2, 0xa37b94fb, 0x5870542c, 0xa3773d84, - 0x586bc93f, 0xa372e646, - 0x58673e1b, 0xa36e8f41, 0x5862b2c1, 0xa36a3875, 0x585e2730, 0xa365e1e2, - 0x58599b69, 0xa3618b88, - 0x58550f6c, 0xa35d3567, 0x58508338, 0xa358df80, 0x584bf6cd, 0xa35489d1, - 0x58476a2c, 0xa350345c, - 0x5842dd54, 0xa34bdf20, 0x583e5047, 0xa3478a1d, 0x5839c302, 0xa3433554, - 0x58353587, 0xa33ee0c3, - 0x5830a7d6, 0xa33a8c6c, 0x582c19ef, 0xa336384e, 0x58278bd1, 0xa331e469, - 0x5822fd7c, 0xa32d90be, - 0x581e6ef1, 0xa3293d4b, 0x5819e030, 0xa324ea13, 0x58155139, 0xa3209713, - 0x5810c20b, 0xa31c444c, - 0x580c32a7, 0xa317f1bf, 0x5807a30d, 0xa3139f6b, 0x5803133c, 0xa30f4d51, - 0x57fe8335, 0xa30afb70, - 0x57f9f2f8, 0xa306a9c8, 0x57f56284, 0xa3025859, 0x57f0d1da, 0xa2fe0724, - 0x57ec40fa, 0xa2f9b629, - 0x57e7afe4, 0xa2f56566, 0x57e31e97, 0xa2f114dd, 0x57de8d15, 0xa2ecc48e, - 0x57d9fb5c, 0xa2e87477, - 0x57d5696d, 0xa2e4249b, 0x57d0d747, 0xa2dfd4f7, 0x57cc44ec, 0xa2db858e, - 0x57c7b25a, 0xa2d7365d, - 0x57c31f92, 0xa2d2e766, 0x57be8c94, 0xa2ce98a9, 0x57b9f960, 0xa2ca4a25, - 0x57b565f6, 0xa2c5fbda, - 0x57b0d256, 0xa2c1adc9, 0x57ac3e80, 0xa2bd5ff2, 0x57a7aa73, 0xa2b91254, - 0x57a31631, 0xa2b4c4f0, - 0x579e81b8, 0xa2b077c5, 0x5799ed0a, 0xa2ac2ad3, 0x57955825, 0xa2a7de1c, - 0x5790c30a, 0xa2a3919e, - 0x578c2dba, 0xa29f4559, 0x57879833, 0xa29af94e, 0x57830276, 0xa296ad7d, - 0x577e6c84, 0xa29261e5, - 0x5779d65b, 0xa28e1687, 0x57753ffc, 0xa289cb63, 0x5770a968, 0xa2858078, - 0x576c129d, 0xa28135c7, - 0x57677b9d, 0xa27ceb4f, 0x5762e467, 0xa278a111, 0x575e4cfa, 0xa274570d, - 0x5759b558, 0xa2700d43, - 0x57551d80, 0xa26bc3b2, 0x57508572, 0xa2677a5b, 0x574bed2f, 0xa263313e, - 0x574754b5, 0xa25ee85b, - 0x5742bc06, 0xa25a9fb1, 0x573e2320, 0xa2565741, 0x57398a05, 0xa2520f0b, - 0x5734f0b5, 0xa24dc70f, - 0x5730572e, 0xa2497f4c, 0x572bbd71, 0xa24537c3, 0x5727237f, 0xa240f074, - 0x57228957, 0xa23ca95f, - 0x571deefa, 0xa2386284, 0x57195466, 0xa2341be3, 0x5714b99d, 0xa22fd57b, - 0x57101e9e, 0xa22b8f4d, - 0x570b8369, 0xa2274959, 0x5706e7ff, 0xa223039f, 0x57024c5f, 0xa21ebe1f, - 0x56fdb08a, 0xa21a78d9, - 0x56f9147e, 0xa21633cd, 0x56f4783d, 0xa211eefb, 0x56efdbc7, 0xa20daa62, - 0x56eb3f1a, 0xa2096604, - 0x56e6a239, 0xa20521e0, 0x56e20521, 0xa200ddf5, 0x56dd67d4, 0xa1fc9a45, - 0x56d8ca51, 0xa1f856ce, - 0x56d42c99, 0xa1f41392, 0x56cf8eab, 0xa1efd08f, 0x56caf088, 0xa1eb8dc7, - 0x56c6522f, 0xa1e74b38, - 0x56c1b3a1, 0xa1e308e4, 0x56bd14dd, 0xa1dec6ca, 0x56b875e4, 0xa1da84e9, - 0x56b3d6b5, 0xa1d64343, - 0x56af3750, 0xa1d201d7, 0x56aa97b7, 0xa1cdc0a5, 0x56a5f7e7, 0xa1c97fad, - 0x56a157e3, 0xa1c53ef0, - 0x569cb7a8, 0xa1c0fe6c, 0x56981739, 0xa1bcbe22, 0x56937694, 0xa1b87e13, - 0x568ed5b9, 0xa1b43e3e, - 0x568a34a9, 0xa1affea3, 0x56859364, 0xa1abbf42, 0x5680f1ea, 0xa1a7801b, - 0x567c503a, 0xa1a3412f, - 0x5677ae54, 0xa19f027c, 0x56730c3a, 0xa19ac404, 0x566e69ea, 0xa19685c7, - 0x5669c765, 0xa19247c3, - 0x566524aa, 0xa18e09fa, 0x566081ba, 0xa189cc6b, 0x565bde95, 0xa1858f16, - 0x56573b3b, 0xa18151fb, - 0x565297ab, 0xa17d151b, 0x564df3e6, 0xa178d875, 0x56494fec, 0xa1749c09, - 0x5644abbc, 0xa1705fd8, - 0x56400758, 0xa16c23e1, 0x563b62be, 0xa167e824, 0x5636bdef, 0xa163aca2, - 0x563218eb, 0xa15f715a, - 0x562d73b2, 0xa15b364d, 0x5628ce43, 0xa156fb79, 0x5624289f, 0xa152c0e1, - 0x561f82c7, 0xa14e8682, - 0x561adcb9, 0xa14a4c5e, 0x56163676, 0xa1461275, 0x56118ffe, 0xa141d8c5, - 0x560ce950, 0xa13d9f51, - 0x5608426e, 0xa1396617, 0x56039b57, 0xa1352d17, 0x55fef40a, 0xa130f451, - 0x55fa4c89, 0xa12cbbc7, - 0x55f5a4d2, 0xa1288376, 0x55f0fce7, 0xa1244b61, 0x55ec54c6, 0xa1201385, - 0x55e7ac71, 0xa11bdbe4, - 0x55e303e6, 0xa117a47e, 0x55de5b27, 0xa1136d52, 0x55d9b232, 0xa10f3661, - 0x55d50909, 0xa10affab, - 0x55d05faa, 0xa106c92f, 0x55cbb617, 0xa10292ed, 0x55c70c4f, 0xa0fe5ce6, - 0x55c26251, 0xa0fa271a, - 0x55bdb81f, 0xa0f5f189, 0x55b90db8, 0xa0f1bc32, 0x55b4631d, 0xa0ed8715, - 0x55afb84c, 0xa0e95234, - 0x55ab0d46, 0xa0e51d8c, 0x55a6620c, 0xa0e0e920, 0x55a1b69d, 0xa0dcb4ee, - 0x559d0af9, 0xa0d880f7, - 0x55985f20, 0xa0d44d3b, 0x5593b312, 0xa0d019b9, 0x558f06d0, 0xa0cbe672, - 0x558a5a58, 0xa0c7b366, - 0x5585adad, 0xa0c38095, 0x558100cc, 0xa0bf4dfe, 0x557c53b6, 0xa0bb1ba2, - 0x5577a66c, 0xa0b6e981, - 0x5572f8ed, 0xa0b2b79b, 0x556e4b39, 0xa0ae85ef, 0x55699d51, 0xa0aa547e, - 0x5564ef34, 0xa0a62348, - 0x556040e2, 0xa0a1f24d, 0x555b925c, 0xa09dc18d, 0x5556e3a1, 0xa0999107, - 0x555234b1, 0xa09560bc, - 0x554d858d, 0xa09130ad, 0x5548d634, 0xa08d00d8, 0x554426a7, 0xa088d13e, - 0x553f76e4, 0xa084a1de, - 0x553ac6ee, 0xa08072ba, 0x553616c2, 0xa07c43d1, 0x55316663, 0xa0781522, - 0x552cb5ce, 0xa073e6af, - 0x55280505, 0xa06fb876, 0x55235408, 0xa06b8a78, 0x551ea2d6, 0xa0675cb6, - 0x5519f16f, 0xa0632f2e, - 0x55153fd4, 0xa05f01e1, 0x55108e05, 0xa05ad4cf, 0x550bdc01, 0xa056a7f9, - 0x550729c9, 0xa0527b5d, - 0x5502775c, 0xa04e4efc, 0x54fdc4ba, 0xa04a22d7, 0x54f911e5, 0xa045f6ec, - 0x54f45edb, 0xa041cb3c, - 0x54efab9c, 0xa03d9fc8, 0x54eaf829, 0xa039748e, 0x54e64482, 0xa0354990, - 0x54e190a6, 0xa0311ecd, - 0x54dcdc96, 0xa02cf444, 0x54d82852, 0xa028c9f7, 0x54d373d9, 0xa0249fe5, - 0x54cebf2c, 0xa020760e, - 0x54ca0a4b, 0xa01c4c73, 0x54c55535, 0xa0182312, 0x54c09feb, 0xa013f9ed, - 0x54bbea6d, 0xa00fd102, - 0x54b734ba, 0xa00ba853, 0x54b27ed3, 0xa0077fdf, 0x54adc8b8, 0xa00357a7, - 0x54a91269, 0x9fff2fa9, - 0x54a45be6, 0x9ffb07e7, 0x549fa52e, 0x9ff6e060, 0x549aee42, 0x9ff2b914, - 0x54963722, 0x9fee9204, - 0x54917fce, 0x9fea6b2f, 0x548cc845, 0x9fe64495, 0x54881089, 0x9fe21e36, - 0x54835898, 0x9fddf812, - 0x547ea073, 0x9fd9d22a, 0x5479e81a, 0x9fd5ac7d, 0x54752f8d, 0x9fd1870c, - 0x547076cc, 0x9fcd61d6, - 0x546bbdd7, 0x9fc93cdb, 0x546704ae, 0x9fc5181b, 0x54624b50, 0x9fc0f397, - 0x545d91bf, 0x9fbccf4f, - 0x5458d7f9, 0x9fb8ab41, 0x54541e00, 0x9fb4876f, 0x544f63d2, 0x9fb063d9, - 0x544aa971, 0x9fac407e, - 0x5445eedb, 0x9fa81d5e, 0x54413412, 0x9fa3fa79, 0x543c7914, 0x9f9fd7d1, - 0x5437bde3, 0x9f9bb563, - 0x5433027d, 0x9f979331, 0x542e46e4, 0x9f93713b, 0x54298b17, 0x9f8f4f80, - 0x5424cf16, 0x9f8b2e00, - 0x542012e1, 0x9f870cbc, 0x541b5678, 0x9f82ebb4, 0x541699db, 0x9f7ecae7, - 0x5411dd0a, 0x9f7aaa55, - 0x540d2005, 0x9f7689ff, 0x540862cd, 0x9f7269e5, 0x5403a561, 0x9f6e4a06, - 0x53fee7c1, 0x9f6a2a63, - 0x53fa29ed, 0x9f660afb, 0x53f56be5, 0x9f61ebcf, 0x53f0adaa, 0x9f5dccde, - 0x53ebef3a, 0x9f59ae29, - 0x53e73097, 0x9f558fb0, 0x53e271c0, 0x9f517173, 0x53ddb2b6, 0x9f4d5371, - 0x53d8f378, 0x9f4935aa, - 0x53d43406, 0x9f45181f, 0x53cf7460, 0x9f40fad0, 0x53cab486, 0x9f3cddbd, - 0x53c5f479, 0x9f38c0e5, - 0x53c13439, 0x9f34a449, 0x53bc73c4, 0x9f3087e9, 0x53b7b31c, 0x9f2c6bc5, - 0x53b2f240, 0x9f284fdc, - 0x53ae3131, 0x9f24342f, 0x53a96fee, 0x9f2018bd, 0x53a4ae77, 0x9f1bfd88, - 0x539feccd, 0x9f17e28e, - 0x539b2af0, 0x9f13c7d0, 0x539668de, 0x9f0fad4e, 0x5391a699, 0x9f0b9307, - 0x538ce421, 0x9f0778fd, - 0x53882175, 0x9f035f2e, 0x53835e95, 0x9eff459b, 0x537e9b82, 0x9efb2c44, - 0x5379d83c, 0x9ef71328, - 0x537514c2, 0x9ef2fa49, 0x53705114, 0x9eeee1a5, 0x536b8d33, 0x9eeac93e, - 0x5366c91f, 0x9ee6b112, - 0x536204d7, 0x9ee29922, 0x535d405c, 0x9ede816e, 0x53587bad, 0x9eda69f6, - 0x5353b6cb, 0x9ed652ba, - 0x534ef1b5, 0x9ed23bb9, 0x534a2c6c, 0x9ece24f5, 0x534566f0, 0x9eca0e6d, - 0x5340a140, 0x9ec5f820, - 0x533bdb5d, 0x9ec1e210, 0x53371547, 0x9ebdcc3b, 0x53324efd, 0x9eb9b6a3, - 0x532d8880, 0x9eb5a146, - 0x5328c1d0, 0x9eb18c26, 0x5323faec, 0x9ead7742, 0x531f33d5, 0x9ea96299, - 0x531a6c8b, 0x9ea54e2d, - 0x5315a50e, 0x9ea139fd, 0x5310dd5d, 0x9e9d2608, 0x530c1579, 0x9e991250, - 0x53074d62, 0x9e94fed4, - 0x53028518, 0x9e90eb94, 0x52fdbc9a, 0x9e8cd890, 0x52f8f3e9, 0x9e88c5c9, - 0x52f42b05, 0x9e84b33d, - 0x52ef61ee, 0x9e80a0ee, 0x52ea98a4, 0x9e7c8eda, 0x52e5cf27, 0x9e787d03, - 0x52e10576, 0x9e746b68, - 0x52dc3b92, 0x9e705a09, 0x52d7717b, 0x9e6c48e7, 0x52d2a732, 0x9e683800, - 0x52cddcb5, 0x9e642756, - 0x52c91204, 0x9e6016e8, 0x52c44721, 0x9e5c06b6, 0x52bf7c0b, 0x9e57f6c0, - 0x52bab0c2, 0x9e53e707, - 0x52b5e546, 0x9e4fd78a, 0x52b11996, 0x9e4bc849, 0x52ac4db4, 0x9e47b944, - 0x52a7819f, 0x9e43aa7c, - 0x52a2b556, 0x9e3f9bf0, 0x529de8db, 0x9e3b8da0, 0x52991c2d, 0x9e377f8c, - 0x52944f4c, 0x9e3371b5, - 0x528f8238, 0x9e2f641b, 0x528ab4f1, 0x9e2b56bc, 0x5285e777, 0x9e27499a, - 0x528119ca, 0x9e233cb4, - 0x527c4bea, 0x9e1f300b, 0x52777dd7, 0x9e1b239e, 0x5272af92, 0x9e17176d, - 0x526de11a, 0x9e130b79, - 0x5269126e, 0x9e0effc1, 0x52644390, 0x9e0af446, 0x525f7480, 0x9e06e907, - 0x525aa53c, 0x9e02de04, - 0x5255d5c5, 0x9dfed33e, 0x5251061c, 0x9dfac8b4, 0x524c3640, 0x9df6be67, - 0x52476631, 0x9df2b456, - 0x524295f0, 0x9deeaa82, 0x523dc57b, 0x9deaa0ea, 0x5238f4d4, 0x9de6978f, - 0x523423fb, 0x9de28e70, - 0x522f52ee, 0x9dde858e, 0x522a81af, 0x9dda7ce9, 0x5225b03d, 0x9dd6747f, - 0x5220de99, 0x9dd26c53, - 0x521c0cc2, 0x9dce6463, 0x52173ab8, 0x9dca5caf, 0x5212687b, 0x9dc65539, - 0x520d960c, 0x9dc24dfe, - 0x5208c36a, 0x9dbe4701, 0x5203f096, 0x9dba4040, 0x51ff1d8f, 0x9db639bb, - 0x51fa4a56, 0x9db23373, - 0x51f576ea, 0x9dae2d68, 0x51f0a34b, 0x9daa279a, 0x51ebcf7a, 0x9da62208, - 0x51e6fb76, 0x9da21cb2, - 0x51e22740, 0x9d9e179a, 0x51dd52d7, 0x9d9a12be, 0x51d87e3c, 0x9d960e1f, - 0x51d3a96f, 0x9d9209bd, - 0x51ced46e, 0x9d8e0597, 0x51c9ff3c, 0x9d8a01ae, 0x51c529d7, 0x9d85fe02, - 0x51c0543f, 0x9d81fa92, - 0x51bb7e75, 0x9d7df75f, 0x51b6a879, 0x9d79f469, 0x51b1d24a, 0x9d75f1b0, - 0x51acfbe9, 0x9d71ef34, - 0x51a82555, 0x9d6decf4, 0x51a34e8f, 0x9d69eaf1, 0x519e7797, 0x9d65e92b, - 0x5199a06d, 0x9d61e7a2, - 0x5194c910, 0x9d5de656, 0x518ff180, 0x9d59e546, 0x518b19bf, 0x9d55e473, - 0x518641cb, 0x9d51e3dd, - 0x518169a5, 0x9d4de385, 0x517c914c, 0x9d49e368, 0x5177b8c2, 0x9d45e389, - 0x5172e005, 0x9d41e3e7, - 0x516e0715, 0x9d3de482, 0x51692df4, 0x9d39e559, 0x516454a0, 0x9d35e66e, - 0x515f7b1a, 0x9d31e7bf, - 0x515aa162, 0x9d2de94d, 0x5155c778, 0x9d29eb19, 0x5150ed5c, 0x9d25ed21, - 0x514c130d, 0x9d21ef66, - 0x5147388c, 0x9d1df1e9, 0x51425dd9, 0x9d19f4a8, 0x513d82f4, 0x9d15f7a4, - 0x5138a7dd, 0x9d11fadd, - 0x5133cc94, 0x9d0dfe54, 0x512ef119, 0x9d0a0207, 0x512a156b, 0x9d0605f7, - 0x5125398c, 0x9d020a25, - 0x51205d7b, 0x9cfe0e8f, 0x511b8137, 0x9cfa1337, 0x5116a4c1, 0x9cf6181c, - 0x5111c81a, 0x9cf21d3d, - 0x510ceb40, 0x9cee229c, 0x51080e35, 0x9cea2838, 0x510330f7, 0x9ce62e11, - 0x50fe5388, 0x9ce23427, - 0x50f975e6, 0x9cde3a7b, 0x50f49813, 0x9cda410b, 0x50efba0d, 0x9cd647d9, - 0x50eadbd6, 0x9cd24ee4, - 0x50e5fd6d, 0x9cce562c, 0x50e11ed2, 0x9cca5db1, 0x50dc4005, 0x9cc66573, - 0x50d76106, 0x9cc26d73, - 0x50d281d5, 0x9cbe75b0, 0x50cda272, 0x9cba7e2a, 0x50c8c2de, 0x9cb686e1, - 0x50c3e317, 0x9cb28fd5, - 0x50bf031f, 0x9cae9907, 0x50ba22f5, 0x9caaa276, 0x50b5429a, 0x9ca6ac23, - 0x50b0620c, 0x9ca2b60c, - 0x50ab814d, 0x9c9ec033, 0x50a6a05c, 0x9c9aca97, 0x50a1bf39, 0x9c96d539, - 0x509cdde4, 0x9c92e017, - 0x5097fc5e, 0x9c8eeb34, 0x50931aa6, 0x9c8af68d, 0x508e38bd, 0x9c870224, - 0x508956a1, 0x9c830df8, - 0x50847454, 0x9c7f1a0a, 0x507f91d5, 0x9c7b2659, 0x507aaf25, 0x9c7732e5, - 0x5075cc43, 0x9c733faf, - 0x5070e92f, 0x9c6f4cb6, 0x506c05ea, 0x9c6b59fa, 0x50672273, 0x9c67677c, - 0x50623ecb, 0x9c63753c, - 0x505d5af1, 0x9c5f8339, 0x505876e5, 0x9c5b9173, 0x505392a8, 0x9c579feb, - 0x504eae39, 0x9c53aea0, - 0x5049c999, 0x9c4fbd93, 0x5044e4c7, 0x9c4bccc3, 0x503fffc4, 0x9c47dc31, - 0x503b1a8f, 0x9c43ebdc, - 0x50363529, 0x9c3ffbc5, 0x50314f91, 0x9c3c0beb, 0x502c69c8, 0x9c381c4f, - 0x502783cd, 0x9c342cf0, - 0x50229da1, 0x9c303dcf, 0x501db743, 0x9c2c4eec, 0x5018d0b4, 0x9c286046, - 0x5013e9f4, 0x9c2471de, - 0x500f0302, 0x9c2083b3, 0x500a1bdf, 0x9c1c95c6, 0x5005348a, 0x9c18a816, - 0x50004d04, 0x9c14baa4, - 0x4ffb654d, 0x9c10cd70, 0x4ff67d64, 0x9c0ce07a, 0x4ff1954b, 0x9c08f3c1, - 0x4fecacff, 0x9c050745, - 0x4fe7c483, 0x9c011b08, 0x4fe2dbd5, 0x9bfd2f08, 0x4fddf2f6, 0x9bf94346, - 0x4fd909e5, 0x9bf557c1, - 0x4fd420a4, 0x9bf16c7a, 0x4fcf3731, 0x9bed8171, 0x4fca4d8d, 0x9be996a6, - 0x4fc563b7, 0x9be5ac18, - 0x4fc079b1, 0x9be1c1c8, 0x4fbb8f79, 0x9bddd7b6, 0x4fb6a510, 0x9bd9ede2, - 0x4fb1ba76, 0x9bd6044b, - 0x4faccfab, 0x9bd21af3, 0x4fa7e4af, 0x9bce31d8, 0x4fa2f981, 0x9bca48fa, - 0x4f9e0e22, 0x9bc6605b, - 0x4f992293, 0x9bc277fa, 0x4f9436d2, 0x9bbe8fd6, 0x4f8f4ae0, 0x9bbaa7f0, - 0x4f8a5ebd, 0x9bb6c048, - 0x4f857269, 0x9bb2d8de, 0x4f8085e4, 0x9baef1b2, 0x4f7b992d, 0x9bab0ac3, - 0x4f76ac46, 0x9ba72413, - 0x4f71bf2e, 0x9ba33da0, 0x4f6cd1e5, 0x9b9f576b, 0x4f67e46a, 0x9b9b7174, - 0x4f62f6bf, 0x9b978bbc, - 0x4f5e08e3, 0x9b93a641, 0x4f591ad6, 0x9b8fc104, 0x4f542c98, 0x9b8bdc05, - 0x4f4f3e29, 0x9b87f744, - 0x4f4a4f89, 0x9b8412c1, 0x4f4560b8, 0x9b802e7b, 0x4f4071b6, 0x9b7c4a74, - 0x4f3b8284, 0x9b7866ab, - 0x4f369320, 0x9b748320, 0x4f31a38c, 0x9b709fd3, 0x4f2cb3c7, 0x9b6cbcc4, - 0x4f27c3d1, 0x9b68d9f3, - 0x4f22d3aa, 0x9b64f760, 0x4f1de352, 0x9b61150b, 0x4f18f2c9, 0x9b5d32f4, - 0x4f140210, 0x9b59511c, - 0x4f0f1126, 0x9b556f81, 0x4f0a200b, 0x9b518e24, 0x4f052ec0, 0x9b4dad06, - 0x4f003d43, 0x9b49cc26, - 0x4efb4b96, 0x9b45eb83, 0x4ef659b8, 0x9b420b1f, 0x4ef167aa, 0x9b3e2af9, - 0x4eec756b, 0x9b3a4b11, - 0x4ee782fb, 0x9b366b68, 0x4ee2905a, 0x9b328bfc, 0x4edd9d89, 0x9b2eaccf, - 0x4ed8aa87, 0x9b2acde0, - 0x4ed3b755, 0x9b26ef2f, 0x4ecec3f2, 0x9b2310bc, 0x4ec9d05e, 0x9b1f3288, - 0x4ec4dc99, 0x9b1b5492, - 0x4ebfe8a5, 0x9b1776da, 0x4ebaf47f, 0x9b139960, 0x4eb60029, 0x9b0fbc24, - 0x4eb10ba2, 0x9b0bdf27, - 0x4eac16eb, 0x9b080268, 0x4ea72203, 0x9b0425e8, 0x4ea22ceb, 0x9b0049a5, - 0x4e9d37a3, 0x9afc6da1, - 0x4e984229, 0x9af891db, 0x4e934c80, 0x9af4b654, 0x4e8e56a5, 0x9af0db0b, - 0x4e89609b, 0x9aed0000, - 0x4e846a60, 0x9ae92533, 0x4e7f73f4, 0x9ae54aa5, 0x4e7a7d58, 0x9ae17056, - 0x4e75868c, 0x9add9644, - 0x4e708f8f, 0x9ad9bc71, 0x4e6b9862, 0x9ad5e2dd, 0x4e66a105, 0x9ad20987, - 0x4e61a977, 0x9ace306f, - 0x4e5cb1b9, 0x9aca5795, 0x4e57b9ca, 0x9ac67efb, 0x4e52c1ab, 0x9ac2a69e, - 0x4e4dc95c, 0x9abece80, - 0x4e48d0dd, 0x9abaf6a1, 0x4e43d82d, 0x9ab71eff, 0x4e3edf4d, 0x9ab3479d, - 0x4e39e63d, 0x9aaf7079, - 0x4e34ecfc, 0x9aab9993, 0x4e2ff38b, 0x9aa7c2ec, 0x4e2af9ea, 0x9aa3ec83, - 0x4e260019, 0x9aa01659, - 0x4e210617, 0x9a9c406e, 0x4e1c0be6, 0x9a986ac1, 0x4e171184, 0x9a949552, - 0x4e1216f2, 0x9a90c022, - 0x4e0d1c30, 0x9a8ceb31, 0x4e08213e, 0x9a89167e, 0x4e03261b, 0x9a85420a, - 0x4dfe2ac9, 0x9a816dd5, - 0x4df92f46, 0x9a7d99de, 0x4df43393, 0x9a79c625, 0x4def37b0, 0x9a75f2ac, - 0x4dea3b9d, 0x9a721f71, - 0x4de53f5a, 0x9a6e4c74, 0x4de042e7, 0x9a6a79b6, 0x4ddb4644, 0x9a66a737, - 0x4dd64971, 0x9a62d4f7, - 0x4dd14c6e, 0x9a5f02f5, 0x4dcc4f3b, 0x9a5b3132, 0x4dc751d8, 0x9a575fae, - 0x4dc25445, 0x9a538e68, - 0x4dbd5682, 0x9a4fbd61, 0x4db8588f, 0x9a4bec99, 0x4db35a6c, 0x9a481c0f, - 0x4dae5c19, 0x9a444bc5, - 0x4da95d96, 0x9a407bb9, 0x4da45ee3, 0x9a3cabeb, 0x4d9f6001, 0x9a38dc5d, - 0x4d9a60ee, 0x9a350d0d, - 0x4d9561ac, 0x9a313dfc, 0x4d90623a, 0x9a2d6f2a, 0x4d8b6298, 0x9a29a097, - 0x4d8662c6, 0x9a25d243, - 0x4d8162c4, 0x9a22042d, 0x4d7c6293, 0x9a1e3656, 0x4d776231, 0x9a1a68be, - 0x4d7261a0, 0x9a169b65, - 0x4d6d60df, 0x9a12ce4b, 0x4d685fef, 0x9a0f016f, 0x4d635ece, 0x9a0b34d3, - 0x4d5e5d7e, 0x9a076875, - 0x4d595bfe, 0x9a039c57, 0x4d545a4f, 0x99ffd077, 0x4d4f5870, 0x99fc04d6, - 0x4d4a5661, 0x99f83974, - 0x4d455422, 0x99f46e51, 0x4d4051b4, 0x99f0a36d, 0x4d3b4f16, 0x99ecd8c8, - 0x4d364c48, 0x99e90e62, - 0x4d31494b, 0x99e5443b, 0x4d2c461e, 0x99e17a53, 0x4d2742c2, 0x99ddb0aa, - 0x4d223f36, 0x99d9e73f, - 0x4d1d3b7a, 0x99d61e14, 0x4d18378f, 0x99d25528, 0x4d133374, 0x99ce8c7b, - 0x4d0e2f2a, 0x99cac40d, - 0x4d092ab0, 0x99c6fbde, 0x4d042607, 0x99c333ee, 0x4cff212e, 0x99bf6c3d, - 0x4cfa1c26, 0x99bba4cb, - 0x4cf516ee, 0x99b7dd99, 0x4cf01187, 0x99b416a5, 0x4ceb0bf0, 0x99b04ff0, - 0x4ce6062a, 0x99ac897b, - 0x4ce10034, 0x99a8c345, 0x4cdbfa0f, 0x99a4fd4d, 0x4cd6f3bb, 0x99a13795, - 0x4cd1ed37, 0x999d721c, - 0x4ccce684, 0x9999ace3, 0x4cc7dfa1, 0x9995e7e8, 0x4cc2d88f, 0x9992232d, - 0x4cbdd14e, 0x998e5eb1, - 0x4cb8c9dd, 0x998a9a74, 0x4cb3c23d, 0x9986d676, 0x4caeba6e, 0x998312b7, - 0x4ca9b26f, 0x997f4f38, - 0x4ca4aa41, 0x997b8bf8, 0x4c9fa1e4, 0x9977c8f7, 0x4c9a9958, 0x99740635, - 0x4c95909c, 0x997043b2, - 0x4c9087b1, 0x996c816f, 0x4c8b7e97, 0x9968bf6b, 0x4c86754e, 0x9964fda7, - 0x4c816bd5, 0x99613c22, - 0x4c7c622d, 0x995d7adc, 0x4c775856, 0x9959b9d5, 0x4c724e50, 0x9955f90d, - 0x4c6d441b, 0x99523885, - 0x4c6839b7, 0x994e783d, 0x4c632f23, 0x994ab833, 0x4c5e2460, 0x9946f869, - 0x4c59196f, 0x994338df, - 0x4c540e4e, 0x993f7993, 0x4c4f02fe, 0x993bba87, 0x4c49f77f, 0x9937fbbb, - 0x4c44ebd1, 0x99343d2e, - 0x4c3fdff4, 0x99307ee0, 0x4c3ad3e7, 0x992cc0d2, 0x4c35c7ac, 0x99290303, - 0x4c30bb42, 0x99254574, - 0x4c2baea9, 0x99218824, 0x4c26a1e1, 0x991dcb13, 0x4c2194e9, 0x991a0e42, - 0x4c1c87c3, 0x991651b1, - 0x4c177a6e, 0x9912955f, 0x4c126cea, 0x990ed94c, 0x4c0d5f37, 0x990b1d79, - 0x4c085156, 0x990761e5, - 0x4c034345, 0x9903a691, 0x4bfe3505, 0x98ffeb7d, 0x4bf92697, 0x98fc30a8, - 0x4bf417f9, 0x98f87612, - 0x4bef092d, 0x98f4bbbc, 0x4be9fa32, 0x98f101a6, 0x4be4eb08, 0x98ed47cf, - 0x4bdfdbaf, 0x98e98e38, - 0x4bdacc28, 0x98e5d4e0, 0x4bd5bc72, 0x98e21bc8, 0x4bd0ac8d, 0x98de62f0, - 0x4bcb9c79, 0x98daaa57, - 0x4bc68c36, 0x98d6f1fe, 0x4bc17bc5, 0x98d339e4, 0x4bbc6b25, 0x98cf820b, - 0x4bb75a56, 0x98cbca70, - 0x4bb24958, 0x98c81316, 0x4bad382c, 0x98c45bfb, 0x4ba826d1, 0x98c0a520, - 0x4ba31548, 0x98bcee84, - 0x4b9e0390, 0x98b93828, 0x4b98f1a9, 0x98b5820c, 0x4b93df93, 0x98b1cc30, - 0x4b8ecd4f, 0x98ae1693, - 0x4b89badd, 0x98aa6136, 0x4b84a83b, 0x98a6ac19, 0x4b7f956b, 0x98a2f73c, - 0x4b7a826d, 0x989f429e, - 0x4b756f40, 0x989b8e40, 0x4b705be4, 0x9897da22, 0x4b6b485a, 0x98942643, - 0x4b6634a2, 0x989072a5, - 0x4b6120bb, 0x988cbf46, 0x4b5c0ca5, 0x98890c27, 0x4b56f861, 0x98855948, - 0x4b51e3ee, 0x9881a6a9, - 0x4b4ccf4d, 0x987df449, 0x4b47ba7e, 0x987a422a, 0x4b42a580, 0x9876904a, - 0x4b3d9053, 0x9872deaa, - 0x4b387af9, 0x986f2d4a, 0x4b336570, 0x986b7c2a, 0x4b2e4fb8, 0x9867cb4a, - 0x4b2939d2, 0x98641aa9, - 0x4b2423be, 0x98606a49, 0x4b1f0d7b, 0x985cba28, 0x4b19f70a, 0x98590a48, - 0x4b14e06b, 0x98555aa7, - 0x4b0fc99d, 0x9851ab46, 0x4b0ab2a1, 0x984dfc26, 0x4b059b77, 0x984a4d45, - 0x4b00841f, 0x98469ea4, - 0x4afb6c98, 0x9842f043, 0x4af654e3, 0x983f4223, 0x4af13d00, 0x983b9442, - 0x4aec24ee, 0x9837e6a1, - 0x4ae70caf, 0x98343940, 0x4ae1f441, 0x98308c1f, 0x4adcdba5, 0x982cdf3f, - 0x4ad7c2da, 0x9829329e, - 0x4ad2a9e2, 0x9825863d, 0x4acd90bb, 0x9821da1d, 0x4ac87767, 0x981e2e3c, - 0x4ac35de4, 0x981a829c, - 0x4abe4433, 0x9816d73b, 0x4ab92a54, 0x98132c1b, 0x4ab41046, 0x980f813b, - 0x4aaef60b, 0x980bd69b, - 0x4aa9dba2, 0x98082c3b, 0x4aa4c10b, 0x9804821b, 0x4a9fa645, 0x9800d83c, - 0x4a9a8b52, 0x97fd2e9c, - 0x4a957030, 0x97f9853d, 0x4a9054e1, 0x97f5dc1e, 0x4a8b3963, 0x97f2333f, - 0x4a861db8, 0x97ee8aa0, - 0x4a8101de, 0x97eae242, 0x4a7be5d7, 0x97e73a23, 0x4a76c9a2, 0x97e39245, - 0x4a71ad3e, 0x97dfeaa7, - 0x4a6c90ad, 0x97dc4349, 0x4a6773ee, 0x97d89c2c, 0x4a625701, 0x97d4f54f, - 0x4a5d39e6, 0x97d14eb2, - 0x4a581c9e, 0x97cda855, 0x4a52ff27, 0x97ca0239, 0x4a4de182, 0x97c65c5c, - 0x4a48c3b0, 0x97c2b6c1, - 0x4a43a5b0, 0x97bf1165, 0x4a3e8782, 0x97bb6c4a, 0x4a396926, 0x97b7c76f, - 0x4a344a9d, 0x97b422d4, - 0x4a2f2be6, 0x97b07e7a, 0x4a2a0d01, 0x97acda60, 0x4a24edee, 0x97a93687, - 0x4a1fcead, 0x97a592ed, - 0x4a1aaf3f, 0x97a1ef94, 0x4a158fa3, 0x979e4c7c, 0x4a106fda, 0x979aa9a4, - 0x4a0b4fe2, 0x9797070c, - 0x4a062fbd, 0x979364b5, 0x4a010f6b, 0x978fc29e, 0x49fbeeea, 0x978c20c8, - 0x49f6ce3c, 0x97887f32, - 0x49f1ad61, 0x9784dddc, 0x49ec8c57, 0x97813cc7, 0x49e76b21, 0x977d9bf2, - 0x49e249bc, 0x9779fb5e, - 0x49dd282a, 0x97765b0a, 0x49d8066b, 0x9772baf7, 0x49d2e47e, 0x976f1b24, - 0x49cdc263, 0x976b7b92, - 0x49c8a01b, 0x9767dc41, 0x49c37da5, 0x97643d2f, 0x49be5b02, 0x97609e5f, - 0x49b93832, 0x975cffcf, - 0x49b41533, 0x9759617f, 0x49aef208, 0x9755c370, 0x49a9ceaf, 0x975225a1, - 0x49a4ab28, 0x974e8813, - 0x499f8774, 0x974aeac6, 0x499a6393, 0x97474db9, 0x49953f84, 0x9743b0ed, - 0x49901b48, 0x97401462, - 0x498af6df, 0x973c7817, 0x4985d248, 0x9738dc0d, 0x4980ad84, 0x97354043, - 0x497b8892, 0x9731a4ba, - 0x49766373, 0x972e0971, 0x49713e27, 0x972a6e6a, 0x496c18ae, 0x9726d3a3, - 0x4966f307, 0x9723391c, - 0x4961cd33, 0x971f9ed7, 0x495ca732, 0x971c04d2, 0x49578103, 0x97186b0d, - 0x49525aa7, 0x9714d18a, - 0x494d341e, 0x97113847, 0x49480d68, 0x970d9f45, 0x4942e684, 0x970a0683, - 0x493dbf74, 0x97066e03, - 0x49389836, 0x9702d5c3, 0x493370cb, 0x96ff3dc4, 0x492e4933, 0x96fba605, - 0x4929216e, 0x96f80e88, - 0x4923f97b, 0x96f4774b, 0x491ed15c, 0x96f0e04f, 0x4919a90f, 0x96ed4994, - 0x49148095, 0x96e9b319, - 0x490f57ee, 0x96e61ce0, 0x490a2f1b, 0x96e286e7, 0x4905061a, 0x96def12f, - 0x48ffdcec, 0x96db5bb8, - 0x48fab391, 0x96d7c682, 0x48f58a09, 0x96d4318d, 0x48f06054, 0x96d09cd8, - 0x48eb3672, 0x96cd0865, - 0x48e60c62, 0x96c97432, 0x48e0e227, 0x96c5e040, 0x48dbb7be, 0x96c24c8f, - 0x48d68d28, 0x96beb91f, - 0x48d16265, 0x96bb25f0, 0x48cc3775, 0x96b79302, 0x48c70c59, 0x96b40055, - 0x48c1e10f, 0x96b06de9, - 0x48bcb599, 0x96acdbbe, 0x48b789f5, 0x96a949d3, 0x48b25e25, 0x96a5b82a, - 0x48ad3228, 0x96a226c2, - 0x48a805ff, 0x969e959b, 0x48a2d9a8, 0x969b04b4, 0x489dad25, 0x9697740f, - 0x48988074, 0x9693e3ab, - 0x48935397, 0x96905388, 0x488e268e, 0x968cc3a5, 0x4888f957, 0x96893404, - 0x4883cbf4, 0x9685a4a4, - 0x487e9e64, 0x96821585, 0x487970a7, 0x967e86a7, 0x487442be, 0x967af80a, - 0x486f14a8, 0x967769af, - 0x4869e665, 0x9673db94, 0x4864b7f5, 0x96704dba, 0x485f8959, 0x966cc022, - 0x485a5a90, 0x966932cb, - 0x48552b9b, 0x9665a5b4, 0x484ffc79, 0x966218df, 0x484acd2a, 0x965e8c4b, - 0x48459daf, 0x965afff9, - 0x48406e08, 0x965773e7, 0x483b3e33, 0x9653e817, 0x48360e32, 0x96505c88, - 0x4830de05, 0x964cd139, - 0x482badab, 0x9649462d, 0x48267d24, 0x9645bb61, 0x48214c71, 0x964230d7, - 0x481c1b92, 0x963ea68d, - 0x4816ea86, 0x963b1c86, 0x4811b94d, 0x963792bf, 0x480c87e8, 0x96340939, - 0x48075657, 0x96307ff5, - 0x48022499, 0x962cf6f2, 0x47fcf2af, 0x96296e31, 0x47f7c099, 0x9625e5b0, - 0x47f28e56, 0x96225d71, - 0x47ed5be6, 0x961ed574, 0x47e8294a, 0x961b4db7, 0x47e2f682, 0x9617c63c, - 0x47ddc38e, 0x96143f02, - 0x47d8906d, 0x9610b80a, 0x47d35d20, 0x960d3153, 0x47ce29a7, 0x9609aadd, - 0x47c8f601, 0x960624a9, - 0x47c3c22f, 0x96029eb6, 0x47be8e31, 0x95ff1904, 0x47b95a06, 0x95fb9394, - 0x47b425af, 0x95f80e65, - 0x47aef12c, 0x95f48977, 0x47a9bc7d, 0x95f104cb, 0x47a487a2, 0x95ed8061, - 0x479f529a, 0x95e9fc38, - 0x479a1d67, 0x95e67850, 0x4794e807, 0x95e2f4a9, 0x478fb27b, 0x95df7145, - 0x478a7cc2, 0x95dbee21, - 0x478546de, 0x95d86b3f, 0x478010cd, 0x95d4e89f, 0x477ada91, 0x95d16640, - 0x4775a428, 0x95cde423, - 0x47706d93, 0x95ca6247, 0x476b36d3, 0x95c6e0ac, 0x4765ffe6, 0x95c35f53, - 0x4760c8cd, 0x95bfde3c, - 0x475b9188, 0x95bc5d66, 0x47565a17, 0x95b8dcd2, 0x4751227a, 0x95b55c7f, - 0x474beab1, 0x95b1dc6e, - 0x4746b2bc, 0x95ae5c9f, 0x47417a9b, 0x95aadd11, 0x473c424e, 0x95a75dc4, - 0x473709d5, 0x95a3deb9, - 0x4731d131, 0x95a05ff0, 0x472c9860, 0x959ce169, 0x47275f63, 0x95996323, - 0x4722263b, 0x9595e51e, - 0x471cece7, 0x9592675c, 0x4717b367, 0x958ee9db, 0x471279ba, 0x958b6c9b, - 0x470d3fe3, 0x9587ef9e, - 0x470805df, 0x958472e2, 0x4702cbaf, 0x9580f667, 0x46fd9154, 0x957d7a2f, - 0x46f856cd, 0x9579fe38, - 0x46f31c1a, 0x95768283, 0x46ede13b, 0x9573070f, 0x46e8a631, 0x956f8bdd, - 0x46e36afb, 0x956c10ed, - 0x46de2f99, 0x9568963f, 0x46d8f40b, 0x95651bd2, 0x46d3b852, 0x9561a1a8, - 0x46ce7c6d, 0x955e27bf, - 0x46c9405c, 0x955aae17, 0x46c40420, 0x955734b2, 0x46bec7b8, 0x9553bb8e, - 0x46b98b24, 0x955042ac, - 0x46b44e65, 0x954cca0c, 0x46af117a, 0x954951ae, 0x46a9d464, 0x9545d992, - 0x46a49722, 0x954261b7, - 0x469f59b4, 0x953eea1e, 0x469a1c1b, 0x953b72c7, 0x4694de56, 0x9537fbb2, - 0x468fa066, 0x953484df, - 0x468a624a, 0x95310e4e, 0x46852403, 0x952d97fe, 0x467fe590, 0x952a21f1, - 0x467aa6f2, 0x9526ac25, - 0x46756828, 0x9523369c, 0x46702933, 0x951fc154, 0x466aea12, 0x951c4c4e, - 0x4665aac6, 0x9518d78a, - 0x46606b4e, 0x95156308, 0x465b2bab, 0x9511eec8, 0x4655ebdd, 0x950e7aca, - 0x4650abe3, 0x950b070e, - 0x464b6bbe, 0x95079394, 0x46462b6d, 0x9504205c, 0x4640eaf2, 0x9500ad66, - 0x463baa4a, 0x94fd3ab1, - 0x46366978, 0x94f9c83f, 0x4631287a, 0x94f6560f, 0x462be751, 0x94f2e421, - 0x4626a5fd, 0x94ef7275, - 0x4621647d, 0x94ec010b, 0x461c22d2, 0x94e88fe3, 0x4616e0fc, 0x94e51efd, - 0x46119efa, 0x94e1ae59, - 0x460c5cce, 0x94de3df8, 0x46071a76, 0x94dacdd8, 0x4601d7f3, 0x94d75dfa, - 0x45fc9545, 0x94d3ee5f, - 0x45f7526b, 0x94d07f05, 0x45f20f67, 0x94cd0fee, 0x45eccc37, 0x94c9a119, - 0x45e788dc, 0x94c63286, - 0x45e24556, 0x94c2c435, 0x45dd01a5, 0x94bf5627, 0x45d7bdc9, 0x94bbe85a, - 0x45d279c2, 0x94b87ad0, - 0x45cd358f, 0x94b50d87, 0x45c7f132, 0x94b1a081, 0x45c2acaa, 0x94ae33be, - 0x45bd67f6, 0x94aac73c, - 0x45b82318, 0x94a75afd, 0x45b2de0e, 0x94a3eeff, 0x45ad98da, 0x94a08344, - 0x45a8537a, 0x949d17cc, - 0x45a30df0, 0x9499ac95, 0x459dc83b, 0x949641a1, 0x4598825a, 0x9492d6ef, - 0x45933c4f, 0x948f6c7f, - 0x458df619, 0x948c0252, 0x4588afb8, 0x94889867, 0x4583692c, 0x94852ebe, - 0x457e2275, 0x9481c557, - 0x4578db93, 0x947e5c33, 0x45739487, 0x947af351, 0x456e4d4f, 0x94778ab1, - 0x456905ed, 0x94742254, - 0x4563be60, 0x9470ba39, 0x455e76a8, 0x946d5260, 0x45592ec6, 0x9469eaca, - 0x4553e6b8, 0x94668376, - 0x454e9e80, 0x94631c65, 0x4549561d, 0x945fb596, 0x45440d90, 0x945c4f09, - 0x453ec4d7, 0x9458e8bf, - 0x45397bf4, 0x945582b7, 0x453432e6, 0x94521cf1, 0x452ee9ae, 0x944eb76e, - 0x4529a04b, 0x944b522d, - 0x452456bd, 0x9447ed2f, 0x451f0d04, 0x94448873, 0x4519c321, 0x944123fa, - 0x45147913, 0x943dbfc3, - 0x450f2edb, 0x943a5bcf, 0x4509e478, 0x9436f81d, 0x450499eb, 0x943394ad, - 0x44ff4f32, 0x94303180, - 0x44fa0450, 0x942cce96, 0x44f4b943, 0x94296bee, 0x44ef6e0b, 0x94260989, - 0x44ea22a9, 0x9422a766, - 0x44e4d71c, 0x941f4585, 0x44df8b64, 0x941be3e8, 0x44da3f83, 0x9418828c, - 0x44d4f376, 0x94152174, - 0x44cfa740, 0x9411c09e, 0x44ca5adf, 0x940e600a, 0x44c50e53, 0x940affb9, - 0x44bfc19d, 0x94079fab, - 0x44ba74bd, 0x94043fdf, 0x44b527b2, 0x9400e056, 0x44afda7d, 0x93fd810f, - 0x44aa8d1d, 0x93fa220b, - 0x44a53f93, 0x93f6c34a, 0x449ff1df, 0x93f364cb, 0x449aa400, 0x93f0068f, - 0x449555f7, 0x93eca896, - 0x449007c4, 0x93e94adf, 0x448ab967, 0x93e5ed6b, 0x44856adf, 0x93e2903a, - 0x44801c2d, 0x93df334c, - 0x447acd50, 0x93dbd6a0, 0x44757e4a, 0x93d87a36, 0x44702f19, 0x93d51e10, - 0x446adfbe, 0x93d1c22c, - 0x44659039, 0x93ce668b, 0x44604089, 0x93cb0b2d, 0x445af0b0, 0x93c7b011, - 0x4455a0ac, 0x93c45539, - 0x4450507e, 0x93c0faa3, 0x444b0026, 0x93bda04f, 0x4445afa4, 0x93ba463f, - 0x44405ef8, 0x93b6ec71, - 0x443b0e21, 0x93b392e6, 0x4435bd21, 0x93b0399e, 0x44306bf6, 0x93ace099, - 0x442b1aa2, 0x93a987d6, - 0x4425c923, 0x93a62f57, 0x4420777b, 0x93a2d71a, 0x441b25a8, 0x939f7f20, - 0x4415d3ab, 0x939c2769, - 0x44108184, 0x9398cff5, 0x440b2f34, 0x939578c3, 0x4405dcb9, 0x939221d5, - 0x44008a14, 0x938ecb29, - 0x43fb3746, 0x938b74c1, 0x43f5e44d, 0x93881e9b, 0x43f0912b, 0x9384c8b8, - 0x43eb3ddf, 0x93817318, - 0x43e5ea68, 0x937e1dbb, 0x43e096c8, 0x937ac8a1, 0x43db42fe, 0x937773ca, - 0x43d5ef0a, 0x93741f35, - 0x43d09aed, 0x9370cae4, 0x43cb46a5, 0x936d76d6, 0x43c5f234, 0x936a230a, - 0x43c09d99, 0x9366cf82, - 0x43bb48d4, 0x93637c3d, 0x43b5f3e5, 0x9360293a, 0x43b09ecc, 0x935cd67b, - 0x43ab498a, 0x935983ff, - 0x43a5f41e, 0x935631c5, 0x43a09e89, 0x9352dfcf, 0x439b48c9, 0x934f8e1c, - 0x4395f2e0, 0x934c3cab, - 0x43909ccd, 0x9348eb7e, 0x438b4691, 0x93459a94, 0x4385f02a, 0x934249ed, - 0x4380999b, 0x933ef989, - 0x437b42e1, 0x933ba968, 0x4375ebfe, 0x9338598a, 0x437094f1, 0x933509f0, - 0x436b3dbb, 0x9331ba98, - 0x4365e65b, 0x932e6b84, 0x43608ed2, 0x932b1cb2, 0x435b371f, 0x9327ce24, - 0x4355df42, 0x93247fd9, - 0x4350873c, 0x932131d1, 0x434b2f0c, 0x931de40c, 0x4345d6b3, 0x931a968b, - 0x43407e31, 0x9317494c, - 0x433b2585, 0x9313fc51, 0x4335ccaf, 0x9310af99, 0x433073b0, 0x930d6324, - 0x432b1a87, 0x930a16f3, - 0x4325c135, 0x9306cb04, 0x432067ba, 0x93037f59, 0x431b0e15, 0x930033f1, - 0x4315b447, 0x92fce8cc, - 0x43105a50, 0x92f99deb, 0x430b002f, 0x92f6534c, 0x4305a5e5, 0x92f308f1, - 0x43004b71, 0x92efbeda, - 0x42faf0d4, 0x92ec7505, 0x42f5960e, 0x92e92b74, 0x42f03b1e, 0x92e5e226, - 0x42eae005, 0x92e2991c, - 0x42e584c3, 0x92df5054, 0x42e02958, 0x92dc07d0, 0x42dacdc3, 0x92d8bf90, - 0x42d57205, 0x92d57792, - 0x42d0161e, 0x92d22fd9, 0x42caba0e, 0x92cee862, 0x42c55dd4, 0x92cba12f, - 0x42c00172, 0x92c85a3f, - 0x42baa4e6, 0x92c51392, 0x42b54831, 0x92c1cd29, 0x42afeb53, 0x92be8703, - 0x42aa8e4b, 0x92bb4121, - 0x42a5311b, 0x92b7fb82, 0x429fd3c1, 0x92b4b626, 0x429a763f, 0x92b1710e, - 0x42951893, 0x92ae2c3a, - 0x428fbabe, 0x92aae7a8, 0x428a5cc0, 0x92a7a35a, 0x4284fe99, 0x92a45f50, - 0x427fa049, 0x92a11b89, - 0x427a41d0, 0x929dd806, 0x4274e32e, 0x929a94c6, 0x426f8463, 0x929751c9, - 0x426a256f, 0x92940f10, - 0x4264c653, 0x9290cc9b, 0x425f670d, 0x928d8a69, 0x425a079e, 0x928a487a, - 0x4254a806, 0x928706cf, - 0x424f4845, 0x9283c568, 0x4249e85c, 0x92808444, 0x42448849, 0x927d4363, - 0x423f280e, 0x927a02c7, - 0x4239c7aa, 0x9276c26d, 0x4234671d, 0x92738258, 0x422f0667, 0x92704286, - 0x4229a588, 0x926d02f7, - 0x42244481, 0x9269c3ac, 0x421ee350, 0x926684a5, 0x421981f7, 0x926345e1, - 0x42142075, 0x92600761, - 0x420ebecb, 0x925cc924, 0x42095cf7, 0x92598b2b, 0x4203fafb, 0x92564d76, - 0x41fe98d6, 0x92531005, - 0x41f93689, 0x924fd2d7, 0x41f3d413, 0x924c95ec, 0x41ee7174, 0x92495946, - 0x41e90eac, 0x92461ce3, - 0x41e3abbc, 0x9242e0c4, 0x41de48a3, 0x923fa4e8, 0x41d8e561, 0x923c6950, - 0x41d381f7, 0x92392dfc, - 0x41ce1e65, 0x9235f2ec, 0x41c8baa9, 0x9232b81f, 0x41c356c5, 0x922f7d96, - 0x41bdf2b9, 0x922c4351, - 0x41b88e84, 0x9229094f, 0x41b32a26, 0x9225cf91, 0x41adc5a0, 0x92229617, - 0x41a860f1, 0x921f5ce1, - 0x41a2fc1a, 0x921c23ef, 0x419d971b, 0x9218eb40, 0x419831f3, 0x9215b2d5, - 0x4192cca2, 0x92127aae, - 0x418d6729, 0x920f42cb, 0x41880188, 0x920c0b2c, 0x41829bbe, 0x9208d3d0, - 0x417d35cb, 0x92059cb8, - 0x4177cfb1, 0x920265e4, 0x4172696e, 0x91ff2f54, 0x416d0302, 0x91fbf908, - 0x41679c6f, 0x91f8c300, - 0x416235b2, 0x91f58d3b, 0x415ccece, 0x91f257bb, 0x415767c1, 0x91ef227e, - 0x4152008c, 0x91ebed85, - 0x414c992f, 0x91e8b8d0, 0x414731a9, 0x91e5845f, 0x4141c9fb, 0x91e25032, - 0x413c6225, 0x91df1c49, - 0x4136fa27, 0x91dbe8a4, 0x41319200, 0x91d8b542, 0x412c29b1, 0x91d58225, - 0x4126c13a, 0x91d24f4c, - 0x4121589b, 0x91cf1cb6, 0x411befd3, 0x91cbea65, 0x411686e4, 0x91c8b857, - 0x41111dcc, 0x91c5868e, - 0x410bb48c, 0x91c25508, 0x41064b24, 0x91bf23c7, 0x4100e194, 0x91bbf2c9, - 0x40fb77dc, 0x91b8c210, - 0x40f60dfb, 0x91b5919a, 0x40f0a3f3, 0x91b26169, 0x40eb39c3, 0x91af317c, - 0x40e5cf6a, 0x91ac01d2, - 0x40e064ea, 0x91a8d26d, 0x40dafa41, 0x91a5a34c, 0x40d58f71, 0x91a2746f, - 0x40d02478, 0x919f45d6, - 0x40cab958, 0x919c1781, 0x40c54e0f, 0x9198e970, 0x40bfe29f, 0x9195bba3, - 0x40ba7706, 0x91928e1a, - 0x40b50b46, 0x918f60d6, 0x40af9f5e, 0x918c33d5, 0x40aa334e, 0x91890719, - 0x40a4c716, 0x9185daa1, - 0x409f5ab6, 0x9182ae6d, 0x4099ee2e, 0x917f827d, 0x4094817f, 0x917c56d1, - 0x408f14a7, 0x91792b6a, - 0x4089a7a8, 0x91760047, 0x40843a81, 0x9172d567, 0x407ecd32, 0x916faacc, - 0x40795fbc, 0x916c8076, - 0x4073f21d, 0x91695663, 0x406e8457, 0x91662c95, 0x40691669, 0x9163030b, - 0x4063a854, 0x915fd9c5, - 0x405e3a16, 0x915cb0c3, 0x4058cbb1, 0x91598806, 0x40535d24, 0x91565f8d, - 0x404dee70, 0x91533758, - 0x40487f94, 0x91500f67, 0x40431090, 0x914ce7bb, 0x403da165, 0x9149c053, - 0x40383212, 0x9146992f, - 0x4032c297, 0x91437250, 0x402d52f5, 0x91404bb5, 0x4027e32b, 0x913d255e, - 0x4022733a, 0x9139ff4b, - 0x401d0321, 0x9136d97d, 0x401792e0, 0x9133b3f3, 0x40122278, 0x91308eae, - 0x400cb1e9, 0x912d69ad, - 0x40074132, 0x912a44f0, 0x4001d053, 0x91272078, 0x3ffc5f4d, 0x9123fc44, - 0x3ff6ee1f, 0x9120d854, - 0x3ff17cca, 0x911db4a9, 0x3fec0b4e, 0x911a9142, 0x3fe699aa, 0x91176e1f, - 0x3fe127df, 0x91144b41, - 0x3fdbb5ec, 0x911128a8, 0x3fd643d2, 0x910e0653, 0x3fd0d191, 0x910ae442, - 0x3fcb5f28, 0x9107c276, - 0x3fc5ec98, 0x9104a0ee, 0x3fc079e0, 0x91017faa, 0x3fbb0702, 0x90fe5eab, - 0x3fb593fb, 0x90fb3df1, - 0x3fb020ce, 0x90f81d7b, 0x3faaad79, 0x90f4fd4a, 0x3fa539fd, 0x90f1dd5d, - 0x3f9fc65a, 0x90eebdb4, - 0x3f9a5290, 0x90eb9e50, 0x3f94de9e, 0x90e87f31, 0x3f8f6a85, 0x90e56056, - 0x3f89f645, 0x90e241bf, - 0x3f8481dd, 0x90df236e, 0x3f7f0d4f, 0x90dc0560, 0x3f799899, 0x90d8e798, - 0x3f7423bc, 0x90d5ca13, - 0x3f6eaeb8, 0x90d2acd4, 0x3f69398d, 0x90cf8fd9, 0x3f63c43b, 0x90cc7322, - 0x3f5e4ec2, 0x90c956b1, - 0x3f58d921, 0x90c63a83, 0x3f53635a, 0x90c31e9b, 0x3f4ded6b, 0x90c002f7, - 0x3f487755, 0x90bce797, - 0x3f430119, 0x90b9cc7d, 0x3f3d8ab5, 0x90b6b1a6, 0x3f38142a, 0x90b39715, - 0x3f329d79, 0x90b07cc8, - 0x3f2d26a0, 0x90ad62c0, 0x3f27afa1, 0x90aa48fd, 0x3f22387a, 0x90a72f7e, - 0x3f1cc12c, 0x90a41644, - 0x3f1749b8, 0x90a0fd4e, 0x3f11d21d, 0x909de49e, 0x3f0c5a5a, 0x909acc32, - 0x3f06e271, 0x9097b40a, - 0x3f016a61, 0x90949c28, 0x3efbf22a, 0x9091848a, 0x3ef679cc, 0x908e6d31, - 0x3ef10148, 0x908b561c, - 0x3eeb889c, 0x90883f4d, 0x3ee60fca, 0x908528c2, 0x3ee096d1, 0x9082127c, - 0x3edb1db1, 0x907efc7a, - 0x3ed5a46b, 0x907be6be, 0x3ed02afd, 0x9078d146, 0x3ecab169, 0x9075bc13, - 0x3ec537ae, 0x9072a725, - 0x3ebfbdcd, 0x906f927c, 0x3eba43c4, 0x906c7e17, 0x3eb4c995, 0x906969f8, - 0x3eaf4f40, 0x9066561d, - 0x3ea9d4c3, 0x90634287, 0x3ea45a21, 0x90602f35, 0x3e9edf57, 0x905d1c29, - 0x3e996467, 0x905a0962, - 0x3e93e950, 0x9056f6df, 0x3e8e6e12, 0x9053e4a1, 0x3e88f2ae, 0x9050d2a9, - 0x3e837724, 0x904dc0f5, - 0x3e7dfb73, 0x904aaf86, 0x3e787f9b, 0x90479e5c, 0x3e73039d, 0x90448d76, - 0x3e6d8778, 0x90417cd6, - 0x3e680b2c, 0x903e6c7b, 0x3e628ebb, 0x903b5c64, 0x3e5d1222, 0x90384c93, - 0x3e579564, 0x90353d06, - 0x3e52187f, 0x90322dbf, 0x3e4c9b73, 0x902f1ebc, 0x3e471e41, 0x902c0fff, - 0x3e41a0e8, 0x90290186, - 0x3e3c2369, 0x9025f352, 0x3e36a5c4, 0x9022e564, 0x3e3127f9, 0x901fd7ba, - 0x3e2baa07, 0x901cca55, - 0x3e262bee, 0x9019bd36, 0x3e20adaf, 0x9016b05b, 0x3e1b2f4a, 0x9013a3c5, - 0x3e15b0bf, 0x90109775, - 0x3e10320d, 0x900d8b69, 0x3e0ab336, 0x900a7fa3, 0x3e053437, 0x90077422, - 0x3dffb513, 0x900468e5, - 0x3dfa35c8, 0x90015dee, 0x3df4b657, 0x8ffe533c, 0x3def36c0, 0x8ffb48cf, - 0x3de9b703, 0x8ff83ea7, - 0x3de4371f, 0x8ff534c4, 0x3ddeb716, 0x8ff22b26, 0x3dd936e6, 0x8fef21ce, - 0x3dd3b690, 0x8fec18ba, - 0x3dce3614, 0x8fe90fec, 0x3dc8b571, 0x8fe60763, 0x3dc334a9, 0x8fe2ff1f, - 0x3dbdb3ba, 0x8fdff720, - 0x3db832a6, 0x8fdcef66, 0x3db2b16b, 0x8fd9e7f2, 0x3dad300b, 0x8fd6e0c2, - 0x3da7ae84, 0x8fd3d9d8, - 0x3da22cd7, 0x8fd0d333, 0x3d9cab04, 0x8fcdccd3, 0x3d97290b, 0x8fcac6b9, - 0x3d91a6ed, 0x8fc7c0e3, - 0x3d8c24a8, 0x8fc4bb53, 0x3d86a23d, 0x8fc1b608, 0x3d811fac, 0x8fbeb103, - 0x3d7b9cf6, 0x8fbbac42, - 0x3d761a19, 0x8fb8a7c7, 0x3d709717, 0x8fb5a391, 0x3d6b13ee, 0x8fb29fa0, - 0x3d6590a0, 0x8faf9bf5, - 0x3d600d2c, 0x8fac988f, 0x3d5a8992, 0x8fa9956e, 0x3d5505d2, 0x8fa69293, - 0x3d4f81ec, 0x8fa38ffc, - 0x3d49fde1, 0x8fa08dab, 0x3d4479b0, 0x8f9d8ba0, 0x3d3ef559, 0x8f9a89da, - 0x3d3970dc, 0x8f978859, - 0x3d33ec39, 0x8f94871d, 0x3d2e6771, 0x8f918627, 0x3d28e282, 0x8f8e8576, - 0x3d235d6f, 0x8f8b850a, - 0x3d1dd835, 0x8f8884e4, 0x3d1852d6, 0x8f858503, 0x3d12cd51, 0x8f828568, - 0x3d0d47a6, 0x8f7f8612, - 0x3d07c1d6, 0x8f7c8701, 0x3d023be0, 0x8f798836, 0x3cfcb5c4, 0x8f7689b0, - 0x3cf72f83, 0x8f738b70, - 0x3cf1a91c, 0x8f708d75, 0x3cec2290, 0x8f6d8fbf, 0x3ce69bde, 0x8f6a924f, - 0x3ce11507, 0x8f679525, - 0x3cdb8e09, 0x8f649840, 0x3cd606e7, 0x8f619ba0, 0x3cd07f9f, 0x8f5e9f46, - 0x3ccaf831, 0x8f5ba331, - 0x3cc5709e, 0x8f58a761, 0x3cbfe8e5, 0x8f55abd8, 0x3cba6107, 0x8f52b093, - 0x3cb4d904, 0x8f4fb595, - 0x3caf50da, 0x8f4cbadb, 0x3ca9c88c, 0x8f49c067, 0x3ca44018, 0x8f46c639, - 0x3c9eb77f, 0x8f43cc50, - 0x3c992ec0, 0x8f40d2ad, 0x3c93a5dc, 0x8f3dd950, 0x3c8e1cd3, 0x8f3ae038, - 0x3c8893a4, 0x8f37e765, - 0x3c830a50, 0x8f34eed8, 0x3c7d80d6, 0x8f31f691, 0x3c77f737, 0x8f2efe8f, - 0x3c726d73, 0x8f2c06d3, - 0x3c6ce38a, 0x8f290f5c, 0x3c67597b, 0x8f26182b, 0x3c61cf48, 0x8f232140, - 0x3c5c44ee, 0x8f202a9a, - 0x3c56ba70, 0x8f1d343a, 0x3c512fcc, 0x8f1a3e1f, 0x3c4ba504, 0x8f17484b, - 0x3c461a16, 0x8f1452bb, - 0x3c408f03, 0x8f115d72, 0x3c3b03ca, 0x8f0e686e, 0x3c35786d, 0x8f0b73b0, - 0x3c2fecea, 0x8f087f37, - 0x3c2a6142, 0x8f058b04, 0x3c24d575, 0x8f029717, 0x3c1f4983, 0x8effa370, - 0x3c19bd6c, 0x8efcb00e, - 0x3c143130, 0x8ef9bcf2, 0x3c0ea4cf, 0x8ef6ca1c, 0x3c091849, 0x8ef3d78b, - 0x3c038b9e, 0x8ef0e540, - 0x3bfdfecd, 0x8eedf33b, 0x3bf871d8, 0x8eeb017c, 0x3bf2e4be, 0x8ee81002, - 0x3bed577e, 0x8ee51ece, - 0x3be7ca1a, 0x8ee22de0, 0x3be23c91, 0x8edf3d38, 0x3bdcaee3, 0x8edc4cd5, - 0x3bd72110, 0x8ed95cb8, - 0x3bd19318, 0x8ed66ce1, 0x3bcc04fb, 0x8ed37d50, 0x3bc676b9, 0x8ed08e05, - 0x3bc0e853, 0x8ecd9eff, - 0x3bbb59c7, 0x8ecab040, 0x3bb5cb17, 0x8ec7c1c6, 0x3bb03c42, 0x8ec4d392, - 0x3baaad48, 0x8ec1e5a4, - 0x3ba51e29, 0x8ebef7fb, 0x3b9f8ee5, 0x8ebc0a99, 0x3b99ff7d, 0x8eb91d7c, - 0x3b946ff0, 0x8eb630a6, - 0x3b8ee03e, 0x8eb34415, 0x3b895068, 0x8eb057ca, 0x3b83c06c, 0x8ead6bc5, - 0x3b7e304c, 0x8eaa8006, - 0x3b78a007, 0x8ea7948c, 0x3b730f9e, 0x8ea4a959, 0x3b6d7f10, 0x8ea1be6c, - 0x3b67ee5d, 0x8e9ed3c4, - 0x3b625d86, 0x8e9be963, 0x3b5ccc8a, 0x8e98ff47, 0x3b573b69, 0x8e961571, - 0x3b51aa24, 0x8e932be2, - 0x3b4c18ba, 0x8e904298, 0x3b46872c, 0x8e8d5994, 0x3b40f579, 0x8e8a70d7, - 0x3b3b63a1, 0x8e87885f, - 0x3b35d1a5, 0x8e84a02d, 0x3b303f84, 0x8e81b841, 0x3b2aad3f, 0x8e7ed09b, - 0x3b251ad6, 0x8e7be93c, - 0x3b1f8848, 0x8e790222, 0x3b19f595, 0x8e761b4e, 0x3b1462be, 0x8e7334c1, - 0x3b0ecfc3, 0x8e704e79, - 0x3b093ca3, 0x8e6d6877, 0x3b03a95e, 0x8e6a82bc, 0x3afe15f6, 0x8e679d47, - 0x3af88269, 0x8e64b817, - 0x3af2eeb7, 0x8e61d32e, 0x3aed5ae1, 0x8e5eee8b, 0x3ae7c6e7, 0x8e5c0a2e, - 0x3ae232c9, 0x8e592617, - 0x3adc9e86, 0x8e564246, 0x3ad70a1f, 0x8e535ebb, 0x3ad17593, 0x8e507b76, - 0x3acbe0e3, 0x8e4d9878, - 0x3ac64c0f, 0x8e4ab5bf, 0x3ac0b717, 0x8e47d34d, 0x3abb21fb, 0x8e44f121, - 0x3ab58cba, 0x8e420f3b, - 0x3aaff755, 0x8e3f2d9b, 0x3aaa61cc, 0x8e3c4c41, 0x3aa4cc1e, 0x8e396b2e, - 0x3a9f364d, 0x8e368a61, - 0x3a99a057, 0x8e33a9da, 0x3a940a3e, 0x8e30c999, 0x3a8e7400, 0x8e2de99e, - 0x3a88dd9d, 0x8e2b09e9, - 0x3a834717, 0x8e282a7b, 0x3a7db06d, 0x8e254b53, 0x3a78199f, 0x8e226c71, - 0x3a7282ac, 0x8e1f8dd6, - 0x3a6ceb96, 0x8e1caf80, 0x3a67545b, 0x8e19d171, 0x3a61bcfd, 0x8e16f3a9, - 0x3a5c257a, 0x8e141626, - 0x3a568dd4, 0x8e1138ea, 0x3a50f609, 0x8e0e5bf4, 0x3a4b5e1b, 0x8e0b7f44, - 0x3a45c608, 0x8e08a2db, - 0x3a402dd2, 0x8e05c6b7, 0x3a3a9577, 0x8e02eadb, 0x3a34fcf9, 0x8e000f44, - 0x3a2f6457, 0x8dfd33f4, - 0x3a29cb91, 0x8dfa58ea, 0x3a2432a7, 0x8df77e27, 0x3a1e9999, 0x8df4a3a9, - 0x3a190068, 0x8df1c973, - 0x3a136712, 0x8deeef82, 0x3a0dcd99, 0x8dec15d8, 0x3a0833fc, 0x8de93c74, - 0x3a029a3b, 0x8de66357, - 0x39fd0056, 0x8de38a80, 0x39f7664e, 0x8de0b1ef, 0x39f1cc21, 0x8dddd9a5, - 0x39ec31d1, 0x8ddb01a1, - 0x39e6975e, 0x8dd829e4, 0x39e0fcc6, 0x8dd5526d, 0x39db620b, 0x8dd27b3c, - 0x39d5c72c, 0x8dcfa452, - 0x39d02c2a, 0x8dcccdaf, 0x39ca9104, 0x8dc9f751, 0x39c4f5ba, 0x8dc7213b, - 0x39bf5a4d, 0x8dc44b6a, - 0x39b9bebc, 0x8dc175e0, 0x39b42307, 0x8dbea09d, 0x39ae872f, 0x8dbbcba0, - 0x39a8eb33, 0x8db8f6ea, - 0x39a34f13, 0x8db6227a, 0x399db2d0, 0x8db34e50, 0x3998166a, 0x8db07a6d, - 0x399279e0, 0x8dada6d1, - 0x398cdd32, 0x8daad37b, 0x39874061, 0x8da8006c, 0x3981a36d, 0x8da52da3, - 0x397c0655, 0x8da25b21, - 0x39766919, 0x8d9f88e5, 0x3970cbba, 0x8d9cb6f0, 0x396b2e38, 0x8d99e541, - 0x39659092, 0x8d9713d9, - 0x395ff2c9, 0x8d9442b8, 0x395a54dd, 0x8d9171dd, 0x3954b6cd, 0x8d8ea148, - 0x394f1899, 0x8d8bd0fb, - 0x39497a43, 0x8d8900f3, 0x3943dbc9, 0x8d863133, 0x393e3d2c, 0x8d8361b9, - 0x39389e6b, 0x8d809286, - 0x3932ff87, 0x8d7dc399, 0x392d6080, 0x8d7af4f3, 0x3927c155, 0x8d782694, - 0x39222208, 0x8d75587b, - 0x391c8297, 0x8d728aa9, 0x3916e303, 0x8d6fbd1d, 0x3911434b, 0x8d6cefd9, - 0x390ba371, 0x8d6a22db, - 0x39060373, 0x8d675623, 0x39006352, 0x8d6489b3, 0x38fac30e, 0x8d61bd89, - 0x38f522a6, 0x8d5ef1a5, - 0x38ef821c, 0x8d5c2609, 0x38e9e16e, 0x8d595ab3, 0x38e4409e, 0x8d568fa4, - 0x38de9faa, 0x8d53c4db, - 0x38d8fe93, 0x8d50fa59, 0x38d35d59, 0x8d4e301f, 0x38cdbbfc, 0x8d4b662a, - 0x38c81a7c, 0x8d489c7d, - 0x38c278d9, 0x8d45d316, 0x38bcd713, 0x8d4309f6, 0x38b7352a, 0x8d40411d, - 0x38b1931e, 0x8d3d788b, - 0x38abf0ef, 0x8d3ab03f, 0x38a64e9d, 0x8d37e83a, 0x38a0ac29, 0x8d35207d, - 0x389b0991, 0x8d325905, - 0x389566d6, 0x8d2f91d5, 0x388fc3f8, 0x8d2ccaec, 0x388a20f8, 0x8d2a0449, - 0x38847dd5, 0x8d273ded, - 0x387eda8e, 0x8d2477d8, 0x38793725, 0x8d21b20a, 0x38739399, 0x8d1eec83, - 0x386defeb, 0x8d1c2742, - 0x38684c19, 0x8d196249, 0x3862a825, 0x8d169d96, 0x385d040d, 0x8d13d92a, - 0x38575fd4, 0x8d111505, - 0x3851bb77, 0x8d0e5127, 0x384c16f7, 0x8d0b8d90, 0x38467255, 0x8d08ca40, - 0x3840cd90, 0x8d060737, - 0x383b28a9, 0x8d034474, 0x3835839f, 0x8d0081f9, 0x382fde72, 0x8cfdbfc4, - 0x382a3922, 0x8cfafdd7, - 0x382493b0, 0x8cf83c30, 0x381eee1b, 0x8cf57ad0, 0x38194864, 0x8cf2b9b8, - 0x3813a28a, 0x8ceff8e6, - 0x380dfc8d, 0x8ced385b, 0x3808566e, 0x8cea7818, 0x3802b02c, 0x8ce7b81b, - 0x37fd09c8, 0x8ce4f865, - 0x37f76341, 0x8ce238f6, 0x37f1bc97, 0x8cdf79ce, 0x37ec15cb, 0x8cdcbaee, - 0x37e66edd, 0x8cd9fc54, - 0x37e0c7cc, 0x8cd73e01, 0x37db2099, 0x8cd47ff6, 0x37d57943, 0x8cd1c231, - 0x37cfd1cb, 0x8ccf04b3, - 0x37ca2a30, 0x8ccc477d, 0x37c48273, 0x8cc98a8e, 0x37beda93, 0x8cc6cde5, - 0x37b93292, 0x8cc41184, - 0x37b38a6d, 0x8cc1556a, 0x37ade227, 0x8cbe9996, 0x37a839be, 0x8cbbde0a, - 0x37a29132, 0x8cb922c6, - 0x379ce885, 0x8cb667c8, 0x37973fb5, 0x8cb3ad11, 0x379196c3, 0x8cb0f2a1, - 0x378bedae, 0x8cae3879, - 0x37864477, 0x8cab7e98, 0x37809b1e, 0x8ca8c4fd, 0x377af1a3, 0x8ca60baa, - 0x37754806, 0x8ca3529f, - 0x376f9e46, 0x8ca099da, 0x3769f464, 0x8c9de15c, 0x37644a60, 0x8c9b2926, - 0x375ea03a, 0x8c987137, - 0x3758f5f2, 0x8c95b98f, 0x37534b87, 0x8c93022e, 0x374da0fa, 0x8c904b14, - 0x3747f64c, 0x8c8d9442, - 0x37424b7b, 0x8c8addb7, 0x373ca088, 0x8c882773, 0x3736f573, 0x8c857176, - 0x37314a3c, 0x8c82bbc0, - 0x372b9ee3, 0x8c800652, 0x3725f367, 0x8c7d512b, 0x372047ca, 0x8c7a9c4b, - 0x371a9c0b, 0x8c77e7b3, - 0x3714f02a, 0x8c753362, 0x370f4427, 0x8c727f58, 0x37099802, 0x8c6fcb95, - 0x3703ebbb, 0x8c6d181a, - 0x36fe3f52, 0x8c6a64e5, 0x36f892c7, 0x8c67b1f9, 0x36f2e61a, 0x8c64ff53, - 0x36ed394b, 0x8c624cf5, - 0x36e78c5b, 0x8c5f9ade, 0x36e1df48, 0x8c5ce90e, 0x36dc3214, 0x8c5a3786, - 0x36d684be, 0x8c578645, - 0x36d0d746, 0x8c54d54c, 0x36cb29ac, 0x8c522499, 0x36c57bf0, 0x8c4f742f, - 0x36bfce13, 0x8c4cc40b, - 0x36ba2014, 0x8c4a142f, 0x36b471f3, 0x8c47649a, 0x36aec3b0, 0x8c44b54d, - 0x36a9154c, 0x8c420647, - 0x36a366c6, 0x8c3f5788, 0x369db81e, 0x8c3ca911, 0x36980954, 0x8c39fae1, - 0x36925a69, 0x8c374cf9, - 0x368cab5c, 0x8c349f58, 0x3686fc2e, 0x8c31f1ff, 0x36814cde, 0x8c2f44ed, - 0x367b9d6c, 0x8c2c9822, - 0x3675edd9, 0x8c29eb9f, 0x36703e24, 0x8c273f63, 0x366a8e4d, 0x8c24936f, - 0x3664de55, 0x8c21e7c2, - 0x365f2e3b, 0x8c1f3c5d, 0x36597e00, 0x8c1c913f, 0x3653cda3, 0x8c19e669, - 0x364e1d25, 0x8c173bda, - 0x36486c86, 0x8c149192, 0x3642bbc4, 0x8c11e792, 0x363d0ae2, 0x8c0f3dda, - 0x363759de, 0x8c0c9469, - 0x3631a8b8, 0x8c09eb40, 0x362bf771, 0x8c07425e, 0x36264609, 0x8c0499c4, - 0x3620947f, 0x8c01f171, - 0x361ae2d3, 0x8bff4966, 0x36153107, 0x8bfca1a3, 0x360f7f19, 0x8bf9fa27, - 0x3609cd0a, 0x8bf752f2, - 0x36041ad9, 0x8bf4ac05, 0x35fe6887, 0x8bf20560, 0x35f8b614, 0x8bef5f02, - 0x35f3037f, 0x8becb8ec, - 0x35ed50c9, 0x8bea131e, 0x35e79df2, 0x8be76d97, 0x35e1eafa, 0x8be4c857, - 0x35dc37e0, 0x8be22360, - 0x35d684a6, 0x8bdf7eb0, 0x35d0d14a, 0x8bdcda47, 0x35cb1dcc, 0x8bda3626, - 0x35c56a2e, 0x8bd7924d, - 0x35bfb66e, 0x8bd4eebc, 0x35ba028e, 0x8bd24b72, 0x35b44e8c, 0x8bcfa870, - 0x35ae9a69, 0x8bcd05b5, - 0x35a8e625, 0x8bca6343, 0x35a331c0, 0x8bc7c117, 0x359d7d39, 0x8bc51f34, - 0x3597c892, 0x8bc27d98, - 0x359213c9, 0x8bbfdc44, 0x358c5ee0, 0x8bbd3b38, 0x3586a9d5, 0x8bba9a73, - 0x3580f4aa, 0x8bb7f9f6, - 0x357b3f5d, 0x8bb559c1, 0x357589f0, 0x8bb2b9d4, 0x356fd461, 0x8bb01a2e, - 0x356a1eb2, 0x8bad7ad0, - 0x356468e2, 0x8baadbba, 0x355eb2f0, 0x8ba83cec, 0x3558fcde, 0x8ba59e65, - 0x355346ab, 0x8ba30026, - 0x354d9057, 0x8ba0622f, 0x3547d9e2, 0x8b9dc480, 0x3542234c, 0x8b9b2718, - 0x353c6c95, 0x8b9889f8, - 0x3536b5be, 0x8b95ed21, 0x3530fec6, 0x8b935090, 0x352b47ad, 0x8b90b448, - 0x35259073, 0x8b8e1848, - 0x351fd918, 0x8b8b7c8f, 0x351a219c, 0x8b88e11e, 0x35146a00, 0x8b8645f5, - 0x350eb243, 0x8b83ab14, - 0x3508fa66, 0x8b81107b, 0x35034267, 0x8b7e7629, 0x34fd8a48, 0x8b7bdc20, - 0x34f7d208, 0x8b79425e, - 0x34f219a8, 0x8b76a8e4, 0x34ec6127, 0x8b740fb3, 0x34e6a885, 0x8b7176c8, - 0x34e0efc2, 0x8b6ede26, - 0x34db36df, 0x8b6c45cc, 0x34d57ddc, 0x8b69adba, 0x34cfc4b7, 0x8b6715ef, - 0x34ca0b73, 0x8b647e6d, - 0x34c4520d, 0x8b61e733, 0x34be9887, 0x8b5f5040, 0x34b8dee1, 0x8b5cb995, - 0x34b3251a, 0x8b5a2333, - 0x34ad6b32, 0x8b578d18, 0x34a7b12a, 0x8b54f745, 0x34a1f702, 0x8b5261ba, - 0x349c3cb9, 0x8b4fcc77, - 0x34968250, 0x8b4d377c, 0x3490c7c6, 0x8b4aa2ca, 0x348b0d1c, 0x8b480e5f, - 0x34855251, 0x8b457a3c, - 0x347f9766, 0x8b42e661, 0x3479dc5b, 0x8b4052ce, 0x3474212f, 0x8b3dbf83, - 0x346e65e3, 0x8b3b2c80, - 0x3468aa76, 0x8b3899c6, 0x3462eee9, 0x8b360753, 0x345d333c, 0x8b337528, - 0x3457776f, 0x8b30e345, - 0x3451bb81, 0x8b2e51ab, 0x344bff73, 0x8b2bc058, 0x34464345, 0x8b292f4e, - 0x344086f6, 0x8b269e8b, - 0x343aca87, 0x8b240e11, 0x34350df8, 0x8b217ddf, 0x342f5149, 0x8b1eedf4, - 0x3429947a, 0x8b1c5e52, - 0x3423d78a, 0x8b19cef8, 0x341e1a7b, 0x8b173fe6, 0x34185d4b, 0x8b14b11d, - 0x34129ffb, 0x8b12229b, - 0x340ce28b, 0x8b0f9462, 0x340724fb, 0x8b0d0670, 0x3401674a, 0x8b0a78c7, - 0x33fba97a, 0x8b07eb66, - 0x33f5eb89, 0x8b055e4d, 0x33f02d79, 0x8b02d17c, 0x33ea6f48, 0x8b0044f3, - 0x33e4b0f8, 0x8afdb8b3, - 0x33def287, 0x8afb2cbb, 0x33d933f7, 0x8af8a10b, 0x33d37546, 0x8af615a3, - 0x33cdb676, 0x8af38a83, - 0x33c7f785, 0x8af0ffac, 0x33c23875, 0x8aee751c, 0x33bc7944, 0x8aebead5, - 0x33b6b9f4, 0x8ae960d6, - 0x33b0fa84, 0x8ae6d720, 0x33ab3af4, 0x8ae44db1, 0x33a57b44, 0x8ae1c48b, - 0x339fbb74, 0x8adf3bad, - 0x3399fb85, 0x8adcb318, 0x33943b75, 0x8ada2aca, 0x338e7b46, 0x8ad7a2c5, - 0x3388baf7, 0x8ad51b08, - 0x3382fa88, 0x8ad29394, 0x337d39f9, 0x8ad00c67, 0x3377794b, 0x8acd8583, - 0x3371b87d, 0x8acafee8, - 0x336bf78f, 0x8ac87894, 0x33663682, 0x8ac5f289, 0x33607554, 0x8ac36cc6, - 0x335ab407, 0x8ac0e74c, - 0x3354f29b, 0x8abe6219, 0x334f310e, 0x8abbdd30, 0x33496f62, 0x8ab9588e, - 0x3343ad97, 0x8ab6d435, - 0x333debab, 0x8ab45024, 0x333829a1, 0x8ab1cc5c, 0x33326776, 0x8aaf48db, - 0x332ca52c, 0x8aacc5a4, - 0x3326e2c3, 0x8aaa42b4, 0x33212039, 0x8aa7c00d, 0x331b5d91, 0x8aa53daf, - 0x33159ac8, 0x8aa2bb99, - 0x330fd7e1, 0x8aa039cb, 0x330a14da, 0x8a9db845, 0x330451b3, 0x8a9b3708, - 0x32fe8e6d, 0x8a98b614, - 0x32f8cb07, 0x8a963567, 0x32f30782, 0x8a93b504, 0x32ed43de, 0x8a9134e8, - 0x32e7801a, 0x8a8eb516, - 0x32e1bc36, 0x8a8c358b, 0x32dbf834, 0x8a89b649, 0x32d63412, 0x8a873750, - 0x32d06fd0, 0x8a84b89e, - 0x32caab6f, 0x8a823a36, 0x32c4e6ef, 0x8a7fbc16, 0x32bf2250, 0x8a7d3e3e, - 0x32b95d91, 0x8a7ac0af, - 0x32b398b3, 0x8a784368, 0x32add3b6, 0x8a75c66a, 0x32a80e99, 0x8a7349b4, - 0x32a2495d, 0x8a70cd47, - 0x329c8402, 0x8a6e5123, 0x3296be88, 0x8a6bd547, 0x3290f8ef, 0x8a6959b3, - 0x328b3336, 0x8a66de68, - 0x32856d5e, 0x8a646365, 0x327fa767, 0x8a61e8ab, 0x3279e151, 0x8a5f6e3a, - 0x32741b1c, 0x8a5cf411, - 0x326e54c7, 0x8a5a7a31, 0x32688e54, 0x8a580099, 0x3262c7c1, 0x8a55874a, - 0x325d0110, 0x8a530e43, - 0x32573a3f, 0x8a509585, 0x3251734f, 0x8a4e1d10, 0x324bac40, 0x8a4ba4e3, - 0x3245e512, 0x8a492cff, - 0x32401dc6, 0x8a46b564, 0x323a565a, 0x8a443e11, 0x32348ecf, 0x8a41c706, - 0x322ec725, 0x8a3f5045, - 0x3228ff5c, 0x8a3cd9cc, 0x32233775, 0x8a3a639b, 0x321d6f6e, 0x8a37edb3, - 0x3217a748, 0x8a357814, - 0x3211df04, 0x8a3302be, 0x320c16a1, 0x8a308db0, 0x32064e1e, 0x8a2e18eb, - 0x3200857d, 0x8a2ba46e, - 0x31fabcbd, 0x8a29303b, 0x31f4f3df, 0x8a26bc50, 0x31ef2ae1, 0x8a2448ad, - 0x31e961c5, 0x8a21d554, - 0x31e39889, 0x8a1f6243, 0x31ddcf30, 0x8a1cef7a, 0x31d805b7, 0x8a1a7cfb, - 0x31d23c1f, 0x8a180ac4, - 0x31cc7269, 0x8a1598d6, 0x31c6a894, 0x8a132731, 0x31c0dea1, 0x8a10b5d4, - 0x31bb148f, 0x8a0e44c0, - 0x31b54a5e, 0x8a0bd3f5, 0x31af800e, 0x8a096373, 0x31a9b5a0, 0x8a06f339, - 0x31a3eb13, 0x8a048348, - 0x319e2067, 0x8a0213a0, 0x3198559d, 0x89ffa441, 0x31928ab4, 0x89fd352b, - 0x318cbfad, 0x89fac65d, - 0x3186f487, 0x89f857d8, 0x31812943, 0x89f5e99c, 0x317b5de0, 0x89f37ba9, - 0x3175925e, 0x89f10dff, - 0x316fc6be, 0x89eea09d, 0x3169fb00, 0x89ec3384, 0x31642f23, 0x89e9c6b4, - 0x315e6328, 0x89e75a2d, - 0x3158970e, 0x89e4edef, 0x3152cad5, 0x89e281fa, 0x314cfe7f, 0x89e0164d, - 0x31473209, 0x89ddaae9, - 0x31416576, 0x89db3fcf, 0x313b98c4, 0x89d8d4fd, 0x3135cbf4, 0x89d66a74, - 0x312fff05, 0x89d40033, - 0x312a31f8, 0x89d1963c, 0x312464cd, 0x89cf2c8e, 0x311e9783, 0x89ccc328, - 0x3118ca1b, 0x89ca5a0c, - 0x3112fc95, 0x89c7f138, 0x310d2ef0, 0x89c588ae, 0x3107612e, 0x89c3206c, - 0x3101934d, 0x89c0b873, - 0x30fbc54d, 0x89be50c3, 0x30f5f730, 0x89bbe95c, 0x30f028f4, 0x89b9823e, - 0x30ea5a9a, 0x89b71b69, - 0x30e48c22, 0x89b4b4dd, 0x30debd8c, 0x89b24e9a, 0x30d8eed8, 0x89afe8a0, - 0x30d32006, 0x89ad82ef, - 0x30cd5115, 0x89ab1d87, 0x30c78206, 0x89a8b868, 0x30c1b2da, 0x89a65391, - 0x30bbe38f, 0x89a3ef04, - 0x30b61426, 0x89a18ac0, 0x30b0449f, 0x899f26c5, 0x30aa74fa, 0x899cc313, - 0x30a4a537, 0x899a5faa, - 0x309ed556, 0x8997fc8a, 0x30990557, 0x899599b3, 0x3093353a, 0x89933725, - 0x308d64ff, 0x8990d4e0, - 0x308794a6, 0x898e72e4, 0x3081c42f, 0x898c1131, 0x307bf39b, 0x8989afc8, - 0x307622e8, 0x89874ea7, - 0x30705217, 0x8984edcf, 0x306a8129, 0x89828d41, 0x3064b01d, 0x89802cfc, - 0x305edef3, 0x897dccff, - 0x30590dab, 0x897b6d4c, 0x30533c45, 0x89790de2, 0x304d6ac1, 0x8976aec1, - 0x30479920, 0x89744fe9, - 0x3041c761, 0x8971f15a, 0x303bf584, 0x896f9315, 0x30362389, 0x896d3518, - 0x30305171, 0x896ad765, - 0x302a7f3a, 0x896879fb, 0x3024ace6, 0x89661cda, 0x301eda75, 0x8963c002, - 0x301907e6, 0x89616373, - 0x30133539, 0x895f072e, 0x300d626e, 0x895cab31, 0x30078f86, 0x895a4f7e, - 0x3001bc80, 0x8957f414, - 0x2ffbe95d, 0x895598f3, 0x2ff6161c, 0x89533e1c, 0x2ff042bd, 0x8950e38e, - 0x2fea6f41, 0x894e8948, - 0x2fe49ba7, 0x894c2f4c, 0x2fdec7f0, 0x8949d59a, 0x2fd8f41b, 0x89477c30, - 0x2fd32028, 0x89452310, - 0x2fcd4c19, 0x8942ca39, 0x2fc777eb, 0x894071ab, 0x2fc1a3a0, 0x893e1967, - 0x2fbbcf38, 0x893bc16b, - 0x2fb5fab2, 0x893969b9, 0x2fb0260f, 0x89371250, 0x2faa514f, 0x8934bb31, - 0x2fa47c71, 0x8932645b, - 0x2f9ea775, 0x89300dce, 0x2f98d25d, 0x892db78a, 0x2f92fd26, 0x892b6190, - 0x2f8d27d3, 0x89290bdf, - 0x2f875262, 0x8926b677, 0x2f817cd4, 0x89246159, 0x2f7ba729, 0x89220c84, - 0x2f75d160, 0x891fb7f8, - 0x2f6ffb7a, 0x891d63b5, 0x2f6a2577, 0x891b0fbc, 0x2f644f56, 0x8918bc0c, - 0x2f5e7919, 0x891668a6, - 0x2f58a2be, 0x89141589, 0x2f52cc46, 0x8911c2b5, 0x2f4cf5b0, 0x890f702b, - 0x2f471efe, 0x890d1dea, - 0x2f41482e, 0x890acbf2, 0x2f3b7141, 0x89087a44, 0x2f359a37, 0x890628df, - 0x2f2fc310, 0x8903d7c4, - 0x2f29ebcc, 0x890186f2, 0x2f24146b, 0x88ff3669, 0x2f1e3ced, 0x88fce62a, - 0x2f186551, 0x88fa9634, - 0x2f128d99, 0x88f84687, 0x2f0cb5c3, 0x88f5f724, 0x2f06ddd1, 0x88f3a80b, - 0x2f0105c1, 0x88f1593b, - 0x2efb2d95, 0x88ef0ab4, 0x2ef5554b, 0x88ecbc77, 0x2eef7ce5, 0x88ea6e83, - 0x2ee9a461, 0x88e820d9, - 0x2ee3cbc1, 0x88e5d378, 0x2eddf304, 0x88e38660, 0x2ed81a29, 0x88e13992, - 0x2ed24132, 0x88deed0e, - 0x2ecc681e, 0x88dca0d3, 0x2ec68eed, 0x88da54e1, 0x2ec0b5a0, 0x88d8093a, - 0x2ebadc35, 0x88d5bddb, - 0x2eb502ae, 0x88d372c6, 0x2eaf290a, 0x88d127fb, 0x2ea94f49, 0x88cedd79, - 0x2ea3756b, 0x88cc9340, - 0x2e9d9b70, 0x88ca4951, 0x2e97c159, 0x88c7ffac, 0x2e91e725, 0x88c5b650, - 0x2e8c0cd4, 0x88c36d3e, - 0x2e863267, 0x88c12475, 0x2e8057dd, 0x88bedbf6, 0x2e7a7d36, 0x88bc93c0, - 0x2e74a272, 0x88ba4bd4, - 0x2e6ec792, 0x88b80432, 0x2e68ec95, 0x88b5bcd9, 0x2e63117c, 0x88b375ca, - 0x2e5d3646, 0x88b12f04, - 0x2e575af3, 0x88aee888, 0x2e517f84, 0x88aca255, 0x2e4ba3f8, 0x88aa5c6c, - 0x2e45c850, 0x88a816cd, - 0x2e3fec8b, 0x88a5d177, 0x2e3a10aa, 0x88a38c6b, 0x2e3434ac, 0x88a147a9, - 0x2e2e5891, 0x889f0330, - 0x2e287c5a, 0x889cbf01, 0x2e22a007, 0x889a7b1b, 0x2e1cc397, 0x88983780, - 0x2e16e70b, 0x8895f42d, - 0x2e110a62, 0x8893b125, 0x2e0b2d9d, 0x88916e66, 0x2e0550bb, 0x888f2bf1, - 0x2dff73bd, 0x888ce9c5, - 0x2df996a3, 0x888aa7e3, 0x2df3b96c, 0x8888664b, 0x2deddc19, 0x888624fd, - 0x2de7feaa, 0x8883e3f8, - 0x2de2211e, 0x8881a33d, 0x2ddc4376, 0x887f62cb, 0x2dd665b2, 0x887d22a4, - 0x2dd087d1, 0x887ae2c6, - 0x2dcaa9d5, 0x8878a332, 0x2dc4cbbc, 0x887663e7, 0x2dbeed86, 0x887424e7, - 0x2db90f35, 0x8871e630, - 0x2db330c7, 0x886fa7c2, 0x2dad523d, 0x886d699f, 0x2da77397, 0x886b2bc5, - 0x2da194d5, 0x8868ee35, - 0x2d9bb5f6, 0x8866b0ef, 0x2d95d6fc, 0x886473f2, 0x2d8ff7e5, 0x88623740, - 0x2d8a18b3, 0x885ffad7, - 0x2d843964, 0x885dbeb8, 0x2d7e59f9, 0x885b82e3, 0x2d787a72, 0x88594757, - 0x2d729acf, 0x88570c16, - 0x2d6cbb10, 0x8854d11e, 0x2d66db35, 0x88529670, 0x2d60fb3e, 0x88505c0b, - 0x2d5b1b2b, 0x884e21f1, - 0x2d553afc, 0x884be821, 0x2d4f5ab1, 0x8849ae9a, 0x2d497a4a, 0x8847755d, - 0x2d4399c7, 0x88453c6a, - 0x2d3db928, 0x884303c1, 0x2d37d86d, 0x8840cb61, 0x2d31f797, 0x883e934c, - 0x2d2c16a4, 0x883c5b81, - 0x2d263596, 0x883a23ff, 0x2d20546b, 0x8837ecc7, 0x2d1a7325, 0x8835b5d9, - 0x2d1491c4, 0x88337f35, - 0x2d0eb046, 0x883148db, 0x2d08ceac, 0x882f12cb, 0x2d02ecf7, 0x882cdd04, - 0x2cfd0b26, 0x882aa788, - 0x2cf72939, 0x88287256, 0x2cf14731, 0x88263d6d, 0x2ceb650d, 0x882408ce, - 0x2ce582cd, 0x8821d47a, - 0x2cdfa071, 0x881fa06f, 0x2cd9bdfa, 0x881d6cae, 0x2cd3db67, 0x881b3937, - 0x2ccdf8b8, 0x8819060a, - 0x2cc815ee, 0x8816d327, 0x2cc23308, 0x8814a08f, 0x2cbc5006, 0x88126e40, - 0x2cb66ce9, 0x88103c3b, - 0x2cb089b1, 0x880e0a7f, 0x2caaa65c, 0x880bd90e, 0x2ca4c2ed, 0x8809a7e7, - 0x2c9edf61, 0x8807770a, - 0x2c98fbba, 0x88054677, 0x2c9317f8, 0x8803162e, 0x2c8d341a, 0x8800e62f, - 0x2c875021, 0x87feb67a, - 0x2c816c0c, 0x87fc870f, 0x2c7b87dc, 0x87fa57ee, 0x2c75a390, 0x87f82917, - 0x2c6fbf29, 0x87f5fa8b, - 0x2c69daa6, 0x87f3cc48, 0x2c63f609, 0x87f19e4f, 0x2c5e114f, 0x87ef70a0, - 0x2c582c7b, 0x87ed433c, - 0x2c52478a, 0x87eb1621, 0x2c4c627f, 0x87e8e950, 0x2c467d58, 0x87e6bcca, - 0x2c409816, 0x87e4908e, - 0x2c3ab2b9, 0x87e2649b, 0x2c34cd40, 0x87e038f3, 0x2c2ee7ad, 0x87de0d95, - 0x2c2901fd, 0x87dbe281, - 0x2c231c33, 0x87d9b7b7, 0x2c1d364e, 0x87d78d38, 0x2c17504d, 0x87d56302, - 0x2c116a31, 0x87d33916, - 0x2c0b83fa, 0x87d10f75, 0x2c059da7, 0x87cee61e, 0x2bffb73a, 0x87ccbd11, - 0x2bf9d0b1, 0x87ca944e, - 0x2bf3ea0d, 0x87c86bd5, 0x2bee034e, 0x87c643a6, 0x2be81c74, 0x87c41bc2, - 0x2be2357f, 0x87c1f427, - 0x2bdc4e6f, 0x87bfccd7, 0x2bd66744, 0x87bda5d1, 0x2bd07ffe, 0x87bb7f16, - 0x2bca989d, 0x87b958a4, - 0x2bc4b120, 0x87b7327d, 0x2bbec989, 0x87b50c9f, 0x2bb8e1d7, 0x87b2e70c, - 0x2bb2fa0a, 0x87b0c1c4, - 0x2bad1221, 0x87ae9cc5, 0x2ba72a1e, 0x87ac7811, 0x2ba14200, 0x87aa53a6, - 0x2b9b59c7, 0x87a82f87, - 0x2b957173, 0x87a60bb1, 0x2b8f8905, 0x87a3e825, 0x2b89a07b, 0x87a1c4e4, - 0x2b83b7d7, 0x879fa1ed, - 0x2b7dcf17, 0x879d7f41, 0x2b77e63d, 0x879b5cde, 0x2b71fd48, 0x87993ac6, - 0x2b6c1438, 0x879718f8, - 0x2b662b0e, 0x8794f774, 0x2b6041c9, 0x8792d63b, 0x2b5a5868, 0x8790b54c, - 0x2b546eee, 0x878e94a7, - 0x2b4e8558, 0x878c744d, 0x2b489ba8, 0x878a543d, 0x2b42b1dd, 0x87883477, - 0x2b3cc7f7, 0x878614fb, - 0x2b36ddf7, 0x8783f5ca, 0x2b30f3dc, 0x8781d6e3, 0x2b2b09a6, 0x877fb846, - 0x2b251f56, 0x877d99f4, - 0x2b1f34eb, 0x877b7bec, 0x2b194a66, 0x87795e2f, 0x2b135fc6, 0x877740bb, - 0x2b0d750b, 0x87752392, - 0x2b078a36, 0x877306b4, 0x2b019f46, 0x8770ea20, 0x2afbb43c, 0x876ecdd6, - 0x2af5c917, 0x876cb1d6, - 0x2aefddd8, 0x876a9621, 0x2ae9f27e, 0x87687ab7, 0x2ae4070a, 0x87665f96, - 0x2ade1b7c, 0x876444c1, - 0x2ad82fd2, 0x87622a35, 0x2ad2440f, 0x87600ff4, 0x2acc5831, 0x875df5fd, - 0x2ac66c39, 0x875bdc51, - 0x2ac08026, 0x8759c2ef, 0x2aba93f9, 0x8757a9d8, 0x2ab4a7b1, 0x8755910b, - 0x2aaebb50, 0x87537888, - 0x2aa8ced3, 0x87516050, 0x2aa2e23d, 0x874f4862, 0x2a9cf58c, 0x874d30bf, - 0x2a9708c1, 0x874b1966, - 0x2a911bdc, 0x87490258, 0x2a8b2edc, 0x8746eb94, 0x2a8541c3, 0x8744d51b, - 0x2a7f548e, 0x8742beec, - 0x2a796740, 0x8740a907, 0x2a7379d8, 0x873e936d, 0x2a6d8c55, 0x873c7e1e, - 0x2a679eb8, 0x873a6919, - 0x2a61b101, 0x8738545e, 0x2a5bc330, 0x87363fee, 0x2a55d545, 0x87342bc9, - 0x2a4fe740, 0x873217ee, - 0x2a49f920, 0x8730045d, 0x2a440ae7, 0x872df117, 0x2a3e1c93, 0x872bde1c, - 0x2a382e25, 0x8729cb6b, - 0x2a323f9e, 0x8727b905, 0x2a2c50fc, 0x8725a6e9, 0x2a266240, 0x87239518, - 0x2a20736a, 0x87218391, - 0x2a1a847b, 0x871f7255, 0x2a149571, 0x871d6163, 0x2a0ea64d, 0x871b50bc, - 0x2a08b710, 0x87194060, - 0x2a02c7b8, 0x8717304e, 0x29fcd847, 0x87152087, 0x29f6e8bb, 0x8713110a, - 0x29f0f916, 0x871101d8, - 0x29eb0957, 0x870ef2f1, 0x29e5197e, 0x870ce454, 0x29df298b, 0x870ad602, - 0x29d9397f, 0x8708c7fa, - 0x29d34958, 0x8706ba3d, 0x29cd5918, 0x8704acca, 0x29c768be, 0x87029fa3, - 0x29c1784a, 0x870092c5, - 0x29bb87bc, 0x86fe8633, 0x29b59715, 0x86fc79eb, 0x29afa654, 0x86fa6dee, - 0x29a9b579, 0x86f8623b, - 0x29a3c485, 0x86f656d3, 0x299dd377, 0x86f44bb6, 0x2997e24f, 0x86f240e3, - 0x2991f10e, 0x86f0365c, - 0x298bffb2, 0x86ee2c1e, 0x29860e3e, 0x86ec222c, 0x29801caf, 0x86ea1884, - 0x297a2b07, 0x86e80f27, - 0x29743946, 0x86e60614, 0x296e476b, 0x86e3fd4c, 0x29685576, 0x86e1f4cf, - 0x29626368, 0x86dfec9d, - 0x295c7140, 0x86dde4b5, 0x29567eff, 0x86dbdd18, 0x29508ca4, 0x86d9d5c6, - 0x294a9a30, 0x86d7cebf, - 0x2944a7a2, 0x86d5c802, 0x293eb4fb, 0x86d3c190, 0x2938c23a, 0x86d1bb69, - 0x2932cf60, 0x86cfb58c, - 0x292cdc6d, 0x86cdaffa, 0x2926e960, 0x86cbaab3, 0x2920f63a, 0x86c9a5b7, - 0x291b02fa, 0x86c7a106, - 0x29150fa1, 0x86c59c9f, 0x290f1c2f, 0x86c39883, 0x290928a3, 0x86c194b2, - 0x290334ff, 0x86bf912c, - 0x28fd4140, 0x86bd8df0, 0x28f74d69, 0x86bb8b00, 0x28f15978, 0x86b9885a, - 0x28eb656e, 0x86b785ff, - 0x28e5714b, 0x86b583ee, 0x28df7d0e, 0x86b38229, 0x28d988b8, 0x86b180ae, - 0x28d3944a, 0x86af7f7e, - 0x28cd9fc1, 0x86ad7e99, 0x28c7ab20, 0x86ab7dff, 0x28c1b666, 0x86a97db0, - 0x28bbc192, 0x86a77dab, - 0x28b5cca5, 0x86a57df2, 0x28afd7a0, 0x86a37e83, 0x28a9e281, 0x86a17f5f, - 0x28a3ed49, 0x869f8086, - 0x289df7f8, 0x869d81f8, 0x2898028e, 0x869b83b4, 0x28920d0a, 0x869985bc, - 0x288c176e, 0x8697880f, - 0x288621b9, 0x86958aac, 0x28802beb, 0x86938d94, 0x287a3604, 0x869190c7, - 0x28744004, 0x868f9445, - 0x286e49ea, 0x868d980e, 0x286853b8, 0x868b9c22, 0x28625d6d, 0x8689a081, - 0x285c670a, 0x8687a52b, - 0x2856708d, 0x8685aa20, 0x285079f7, 0x8683af5f, 0x284a8349, 0x8681b4ea, - 0x28448c81, 0x867fbabf, - 0x283e95a1, 0x867dc0e0, 0x28389ea8, 0x867bc74b, 0x2832a796, 0x8679ce01, - 0x282cb06c, 0x8677d503, - 0x2826b928, 0x8675dc4f, 0x2820c1cc, 0x8673e3e6, 0x281aca57, 0x8671ebc8, - 0x2814d2c9, 0x866ff3f6, - 0x280edb23, 0x866dfc6e, 0x2808e364, 0x866c0531, 0x2802eb8c, 0x866a0e3f, - 0x27fcf39c, 0x86681798, - 0x27f6fb92, 0x8666213c, 0x27f10371, 0x86642b2c, 0x27eb0b36, 0x86623566, - 0x27e512e3, 0x86603feb, - 0x27df1a77, 0x865e4abb, 0x27d921f3, 0x865c55d7, 0x27d32956, 0x865a613d, - 0x27cd30a1, 0x86586cee, - 0x27c737d3, 0x865678eb, 0x27c13eec, 0x86548532, 0x27bb45ed, 0x865291c4, - 0x27b54cd6, 0x86509ea2, - 0x27af53a6, 0x864eabcb, 0x27a95a5d, 0x864cb93e, 0x27a360fc, 0x864ac6fd, - 0x279d6783, 0x8648d507, - 0x27976df1, 0x8646e35c, 0x27917447, 0x8644f1fc, 0x278b7a84, 0x864300e7, - 0x278580a9, 0x8641101d, - 0x277f86b5, 0x863f1f9e, 0x27798caa, 0x863d2f6b, 0x27739285, 0x863b3f82, - 0x276d9849, 0x86394fe5, - 0x27679df4, 0x86376092, 0x2761a387, 0x8635718b, 0x275ba901, 0x863382cf, - 0x2755ae64, 0x8631945e, - 0x274fb3ae, 0x862fa638, 0x2749b8e0, 0x862db85e, 0x2743bdf9, 0x862bcace, - 0x273dc2fa, 0x8629dd8a, - 0x2737c7e3, 0x8627f091, 0x2731ccb4, 0x862603e3, 0x272bd16d, 0x86241780, - 0x2725d60e, 0x86222b68, - 0x271fda96, 0x86203f9c, 0x2719df06, 0x861e541a, 0x2713e35f, 0x861c68e4, - 0x270de79f, 0x861a7df9, - 0x2707ebc7, 0x86189359, 0x2701efd7, 0x8616a905, 0x26fbf3ce, 0x8614befb, - 0x26f5f7ae, 0x8612d53d, - 0x26effb76, 0x8610ebca, 0x26e9ff26, 0x860f02a3, 0x26e402bd, 0x860d19c6, - 0x26de063d, 0x860b3135, - 0x26d809a5, 0x860948ef, 0x26d20cf5, 0x860760f4, 0x26cc102d, 0x86057944, - 0x26c6134d, 0x860391e0, - 0x26c01655, 0x8601aac7, 0x26ba1945, 0x85ffc3f9, 0x26b41c1d, 0x85fddd76, - 0x26ae1edd, 0x85fbf73f, - 0x26a82186, 0x85fa1153, 0x26a22416, 0x85f82bb2, 0x269c268f, 0x85f6465c, - 0x269628f0, 0x85f46152, - 0x26902b39, 0x85f27c93, 0x268a2d6b, 0x85f09820, 0x26842f84, 0x85eeb3f7, - 0x267e3186, 0x85ecd01a, - 0x26783370, 0x85eaec88, 0x26723543, 0x85e90942, 0x266c36fe, 0x85e72647, - 0x266638a1, 0x85e54397, - 0x26603a2c, 0x85e36132, 0x265a3b9f, 0x85e17f19, 0x26543cfb, 0x85df9d4b, - 0x264e3e40, 0x85ddbbc9, - 0x26483f6c, 0x85dbda91, 0x26424082, 0x85d9f9a5, 0x263c417f, 0x85d81905, - 0x26364265, 0x85d638b0, - 0x26304333, 0x85d458a6, 0x262a43ea, 0x85d278e7, 0x26244489, 0x85d09974, - 0x261e4511, 0x85ceba4d, - 0x26184581, 0x85ccdb70, 0x261245da, 0x85cafcdf, 0x260c461b, 0x85c91e9a, - 0x26064645, 0x85c740a0, - 0x26004657, 0x85c562f1, 0x25fa4652, 0x85c3858d, 0x25f44635, 0x85c1a875, - 0x25ee4601, 0x85bfcba9, - 0x25e845b6, 0x85bdef28, 0x25e24553, 0x85bc12f2, 0x25dc44d9, 0x85ba3707, - 0x25d64447, 0x85b85b68, - 0x25d0439f, 0x85b68015, 0x25ca42de, 0x85b4a50d, 0x25c44207, 0x85b2ca50, - 0x25be4118, 0x85b0efdf, - 0x25b84012, 0x85af15b9, 0x25b23ef5, 0x85ad3bdf, 0x25ac3dc0, 0x85ab6250, - 0x25a63c74, 0x85a9890d, - 0x25a03b11, 0x85a7b015, 0x259a3997, 0x85a5d768, 0x25943806, 0x85a3ff07, - 0x258e365d, 0x85a226f2, - 0x2588349d, 0x85a04f28, 0x258232c6, 0x859e77a9, 0x257c30d8, 0x859ca076, - 0x25762ed3, 0x859ac98f, - 0x25702cb7, 0x8598f2f3, 0x256a2a83, 0x85971ca2, 0x25642839, 0x8595469d, - 0x255e25d7, 0x859370e4, - 0x2558235f, 0x85919b76, 0x255220cf, 0x858fc653, 0x254c1e28, 0x858df17c, - 0x25461b6b, 0x858c1cf1, - 0x25401896, 0x858a48b1, 0x253a15aa, 0x858874bd, 0x253412a8, 0x8586a114, - 0x252e0f8e, 0x8584cdb7, - 0x25280c5e, 0x8582faa5, 0x25220916, 0x858127df, 0x251c05b8, 0x857f5564, - 0x25160243, 0x857d8335, - 0x250ffeb7, 0x857bb152, 0x2509fb14, 0x8579dfba, 0x2503f75a, 0x85780e6e, - 0x24fdf389, 0x85763d6d, - 0x24f7efa2, 0x85746cb8, 0x24f1eba4, 0x85729c4e, 0x24ebe78f, 0x8570cc30, - 0x24e5e363, 0x856efc5e, - 0x24dfdf20, 0x856d2cd7, 0x24d9dac7, 0x856b5d9c, 0x24d3d657, 0x85698ead, - 0x24cdd1d0, 0x8567c009, - 0x24c7cd33, 0x8565f1b0, 0x24c1c87f, 0x856423a4, 0x24bbc3b4, 0x856255e3, - 0x24b5bed2, 0x8560886d, - 0x24afb9da, 0x855ebb44, 0x24a9b4cb, 0x855cee66, 0x24a3afa6, 0x855b21d3, - 0x249daa6a, 0x8559558c, - 0x2497a517, 0x85578991, 0x24919fae, 0x8555bde2, 0x248b9a2f, 0x8553f27e, - 0x24859498, 0x85522766, - 0x247f8eec, 0x85505c99, 0x24798928, 0x854e9219, 0x2473834f, 0x854cc7e3, - 0x246d7d5e, 0x854afdfa, - 0x24677758, 0x8549345c, 0x2461713a, 0x85476b0a, 0x245b6b07, 0x8545a204, - 0x245564bd, 0x8543d949, - 0x244f5e5c, 0x854210db, 0x244957e5, 0x854048b7, 0x24435158, 0x853e80e0, - 0x243d4ab4, 0x853cb954, - 0x243743fa, 0x853af214, 0x24313d2a, 0x85392b20, 0x242b3644, 0x85376477, - 0x24252f47, 0x85359e1a, - 0x241f2833, 0x8533d809, 0x2419210a, 0x85321244, 0x241319ca, 0x85304cca, - 0x240d1274, 0x852e879d, - 0x24070b08, 0x852cc2bb, 0x24010385, 0x852afe24, 0x23fafbec, 0x852939da, - 0x23f4f43e, 0x852775db, - 0x23eeec78, 0x8525b228, 0x23e8e49d, 0x8523eec1, 0x23e2dcac, 0x85222ba5, - 0x23dcd4a4, 0x852068d6, - 0x23d6cc87, 0x851ea652, 0x23d0c453, 0x851ce41a, 0x23cabc09, 0x851b222e, - 0x23c4b3a9, 0x8519608d, - 0x23beab33, 0x85179f39, 0x23b8a2a7, 0x8515de30, 0x23b29a05, 0x85141d73, - 0x23ac914d, 0x85125d02, - 0x23a6887f, 0x85109cdd, 0x23a07f9a, 0x850edd03, 0x239a76a0, 0x850d1d75, - 0x23946d90, 0x850b5e34, - 0x238e646a, 0x85099f3e, 0x23885b2e, 0x8507e094, 0x238251dd, 0x85062235, - 0x237c4875, 0x85046423, - 0x23763ef7, 0x8502a65c, 0x23703564, 0x8500e8e2, 0x236a2bba, 0x84ff2bb3, - 0x236421fb, 0x84fd6ed0, - 0x235e1826, 0x84fbb239, 0x23580e3b, 0x84f9f5ee, 0x2352043b, 0x84f839ee, - 0x234bfa24, 0x84f67e3b, - 0x2345eff8, 0x84f4c2d4, 0x233fe5b6, 0x84f307b8, 0x2339db5e, 0x84f14ce8, - 0x2333d0f1, 0x84ef9265, - 0x232dc66d, 0x84edd82d, 0x2327bbd5, 0x84ec1e41, 0x2321b126, 0x84ea64a1, - 0x231ba662, 0x84e8ab4d, - 0x23159b88, 0x84e6f244, 0x230f9098, 0x84e53988, 0x23098593, 0x84e38118, - 0x23037a78, 0x84e1c8f3, - 0x22fd6f48, 0x84e0111b, 0x22f76402, 0x84de598f, 0x22f158a7, 0x84dca24e, - 0x22eb4d36, 0x84daeb5a, - 0x22e541af, 0x84d934b1, 0x22df3613, 0x84d77e54, 0x22d92a61, 0x84d5c844, - 0x22d31e9a, 0x84d4127f, - 0x22cd12bd, 0x84d25d06, 0x22c706cb, 0x84d0a7da, 0x22c0fac4, 0x84cef2f9, - 0x22baeea7, 0x84cd3e64, - 0x22b4e274, 0x84cb8a1b, 0x22aed62c, 0x84c9d61f, 0x22a8c9cf, 0x84c8226e, - 0x22a2bd5d, 0x84c66f09, - 0x229cb0d5, 0x84c4bbf0, 0x2296a437, 0x84c30924, 0x22909785, 0x84c156a3, - 0x228a8abd, 0x84bfa46e, - 0x22847de0, 0x84bdf286, 0x227e70ed, 0x84bc40e9, 0x227863e5, 0x84ba8f98, - 0x227256c8, 0x84b8de94, - 0x226c4996, 0x84b72ddb, 0x22663c4e, 0x84b57d6f, 0x22602ef1, 0x84b3cd4f, - 0x225a217f, 0x84b21d7a, - 0x225413f8, 0x84b06df2, 0x224e065c, 0x84aebeb6, 0x2247f8aa, 0x84ad0fc6, - 0x2241eae3, 0x84ab6122, - 0x223bdd08, 0x84a9b2ca, 0x2235cf17, 0x84a804be, 0x222fc111, 0x84a656fe, - 0x2229b2f6, 0x84a4a98a, - 0x2223a4c5, 0x84a2fc62, 0x221d9680, 0x84a14f87, 0x22178826, 0x849fa2f7, - 0x221179b7, 0x849df6b4, - 0x220b6b32, 0x849c4abd, 0x22055c99, 0x849a9f12, 0x21ff4dea, 0x8498f3b3, - 0x21f93f27, 0x849748a0, - 0x21f3304f, 0x84959dd9, 0x21ed2162, 0x8493f35e, 0x21e71260, 0x84924930, - 0x21e10349, 0x84909f4e, - 0x21daf41d, 0x848ef5b7, 0x21d4e4dc, 0x848d4c6d, 0x21ced586, 0x848ba36f, - 0x21c8c61c, 0x8489fabe, - 0x21c2b69c, 0x84885258, 0x21bca708, 0x8486aa3e, 0x21b6975f, 0x84850271, - 0x21b087a1, 0x84835af0, - 0x21aa77cf, 0x8481b3bb, 0x21a467e7, 0x84800cd2, 0x219e57eb, 0x847e6636, - 0x219847da, 0x847cbfe5, - 0x219237b5, 0x847b19e1, 0x218c277a, 0x84797429, 0x2186172b, 0x8477cebd, - 0x218006c8, 0x8476299e, - 0x2179f64f, 0x847484ca, 0x2173e5c2, 0x8472e043, 0x216dd521, 0x84713c08, - 0x2167c46b, 0x846f9819, - 0x2161b3a0, 0x846df477, 0x215ba2c0, 0x846c5120, 0x215591cc, 0x846aae16, - 0x214f80c4, 0x84690b58, - 0x21496fa7, 0x846768e7, 0x21435e75, 0x8465c6c1, 0x213d4d2f, 0x846424e8, - 0x21373bd4, 0x8462835b, - 0x21312a65, 0x8460e21a, 0x212b18e1, 0x845f4126, 0x21250749, 0x845da07e, - 0x211ef59d, 0x845c0022, - 0x2118e3dc, 0x845a6012, 0x2112d206, 0x8458c04f, 0x210cc01d, 0x845720d8, - 0x2106ae1e, 0x845581ad, - 0x21009c0c, 0x8453e2cf, 0x20fa89e5, 0x8452443d, 0x20f477aa, 0x8450a5f7, - 0x20ee655a, 0x844f07fd, - 0x20e852f6, 0x844d6a50, 0x20e2407e, 0x844bccef, 0x20dc2df2, 0x844a2fda, - 0x20d61b51, 0x84489311, - 0x20d0089c, 0x8446f695, 0x20c9f5d3, 0x84455a66, 0x20c3e2f5, 0x8443be82, - 0x20bdd003, 0x844222eb, - 0x20b7bcfe, 0x844087a0, 0x20b1a9e4, 0x843eeca2, 0x20ab96b5, 0x843d51f0, - 0x20a58373, 0x843bb78a, - 0x209f701c, 0x843a1d70, 0x20995cb2, 0x843883a3, 0x20934933, 0x8436ea23, - 0x208d35a0, 0x843550ee, - 0x208721f9, 0x8433b806, 0x20810e3e, 0x84321f6b, 0x207afa6f, 0x8430871b, - 0x2074e68c, 0x842eef18, - 0x206ed295, 0x842d5762, 0x2068be8a, 0x842bbff8, 0x2062aa6b, 0x842a28da, - 0x205c9638, 0x84289209, - 0x205681f1, 0x8426fb84, 0x20506d96, 0x8425654b, 0x204a5927, 0x8423cf5f, - 0x204444a4, 0x842239bf, - 0x203e300d, 0x8420a46c, 0x20381b63, 0x841f0f65, 0x203206a4, 0x841d7aaa, - 0x202bf1d2, 0x841be63c, - 0x2025dcec, 0x841a521a, 0x201fc7f2, 0x8418be45, 0x2019b2e4, 0x84172abc, - 0x20139dc2, 0x84159780, - 0x200d888d, 0x84140490, 0x20077344, 0x841271ec, 0x20015de7, 0x8410df95, - 0x1ffb4876, 0x840f4d8a, - 0x1ff532f2, 0x840dbbcc, 0x1fef1d59, 0x840c2a5a, 0x1fe907ae, 0x840a9935, - 0x1fe2f1ee, 0x8409085c, - 0x1fdcdc1b, 0x840777d0, 0x1fd6c634, 0x8405e790, 0x1fd0b03a, 0x8404579d, - 0x1fca9a2b, 0x8402c7f6, - 0x1fc4840a, 0x8401389b, 0x1fbe6dd4, 0x83ffa98d, 0x1fb8578b, 0x83fe1acc, - 0x1fb2412f, 0x83fc8c57, - 0x1fac2abf, 0x83fafe2e, 0x1fa6143b, 0x83f97052, 0x1f9ffda4, 0x83f7e2c3, - 0x1f99e6fa, 0x83f65580, - 0x1f93d03c, 0x83f4c889, 0x1f8db96a, 0x83f33bdf, 0x1f87a285, 0x83f1af82, - 0x1f818b8d, 0x83f02371, - 0x1f7b7481, 0x83ee97ad, 0x1f755d61, 0x83ed0c35, 0x1f6f462f, 0x83eb810a, - 0x1f692ee9, 0x83e9f62b, - 0x1f63178f, 0x83e86b99, 0x1f5d0022, 0x83e6e153, 0x1f56e8a2, 0x83e5575a, - 0x1f50d10e, 0x83e3cdad, - 0x1f4ab968, 0x83e2444d, 0x1f44a1ad, 0x83e0bb3a, 0x1f3e89e0, 0x83df3273, - 0x1f3871ff, 0x83dda9f9, - 0x1f325a0b, 0x83dc21cb, 0x1f2c4204, 0x83da99ea, 0x1f2629ea, 0x83d91255, - 0x1f2011bc, 0x83d78b0d, - 0x1f19f97b, 0x83d60412, 0x1f13e127, 0x83d47d63, 0x1f0dc8c0, 0x83d2f701, - 0x1f07b045, 0x83d170eb, - 0x1f0197b8, 0x83cfeb22, 0x1efb7f17, 0x83ce65a6, 0x1ef56664, 0x83cce076, - 0x1eef4d9d, 0x83cb5b93, - 0x1ee934c3, 0x83c9d6fc, 0x1ee31bd6, 0x83c852b2, 0x1edd02d6, 0x83c6ceb5, - 0x1ed6e9c3, 0x83c54b04, - 0x1ed0d09d, 0x83c3c7a0, 0x1ecab763, 0x83c24488, 0x1ec49e17, 0x83c0c1be, - 0x1ebe84b8, 0x83bf3f3f, - 0x1eb86b46, 0x83bdbd0e, 0x1eb251c1, 0x83bc3b29, 0x1eac3829, 0x83bab991, - 0x1ea61e7e, 0x83b93845, - 0x1ea004c1, 0x83b7b746, 0x1e99eaf0, 0x83b63694, 0x1e93d10c, 0x83b4b62e, - 0x1e8db716, 0x83b33616, - 0x1e879d0d, 0x83b1b649, 0x1e8182f1, 0x83b036ca, 0x1e7b68c2, 0x83aeb797, - 0x1e754e80, 0x83ad38b1, - 0x1e6f342c, 0x83abba17, 0x1e6919c4, 0x83aa3bca, 0x1e62ff4a, 0x83a8bdca, - 0x1e5ce4be, 0x83a74017, - 0x1e56ca1e, 0x83a5c2b0, 0x1e50af6c, 0x83a44596, 0x1e4a94a7, 0x83a2c8c9, - 0x1e4479cf, 0x83a14c48, - 0x1e3e5ee5, 0x839fd014, 0x1e3843e8, 0x839e542d, 0x1e3228d9, 0x839cd893, - 0x1e2c0db6, 0x839b5d45, - 0x1e25f282, 0x8399e244, 0x1e1fd73a, 0x83986790, 0x1e19bbe0, 0x8396ed29, - 0x1e13a074, 0x8395730e, - 0x1e0d84f5, 0x8393f940, 0x1e076963, 0x83927fbf, 0x1e014dbf, 0x8391068a, - 0x1dfb3208, 0x838f8da2, - 0x1df5163f, 0x838e1507, 0x1deefa63, 0x838c9cb9, 0x1de8de75, 0x838b24b8, - 0x1de2c275, 0x8389ad03, - 0x1ddca662, 0x8388359b, 0x1dd68a3c, 0x8386be80, 0x1dd06e04, 0x838547b2, - 0x1dca51ba, 0x8383d130, - 0x1dc4355e, 0x83825afb, 0x1dbe18ef, 0x8380e513, 0x1db7fc6d, 0x837f6f78, - 0x1db1dfda, 0x837dfa2a, - 0x1dabc334, 0x837c8528, 0x1da5a67c, 0x837b1074, 0x1d9f89b1, 0x83799c0c, - 0x1d996cd4, 0x837827f0, - 0x1d934fe5, 0x8376b422, 0x1d8d32e4, 0x837540a1, 0x1d8715d0, 0x8373cd6c, - 0x1d80f8ab, 0x83725a84, - 0x1d7adb73, 0x8370e7e9, 0x1d74be29, 0x836f759b, 0x1d6ea0cc, 0x836e039a, - 0x1d68835e, 0x836c91e5, - 0x1d6265dd, 0x836b207d, 0x1d5c484b, 0x8369af63, 0x1d562aa6, 0x83683e95, - 0x1d500cef, 0x8366ce14, - 0x1d49ef26, 0x83655ddf, 0x1d43d14b, 0x8363edf8, 0x1d3db35e, 0x83627e5d, - 0x1d37955e, 0x83610f10, - 0x1d31774d, 0x835fa00f, 0x1d2b592a, 0x835e315b, 0x1d253af5, 0x835cc2f4, - 0x1d1f1cae, 0x835b54da, - 0x1d18fe54, 0x8359e70d, 0x1d12dfe9, 0x8358798c, 0x1d0cc16c, 0x83570c59, - 0x1d06a2dd, 0x83559f72, - 0x1d00843d, 0x835432d8, 0x1cfa658a, 0x8352c68c, 0x1cf446c5, 0x83515a8c, - 0x1cee27ef, 0x834feed9, - 0x1ce80906, 0x834e8373, 0x1ce1ea0c, 0x834d185a, 0x1cdbcb00, 0x834bad8e, - 0x1cd5abe3, 0x834a430e, - 0x1ccf8cb3, 0x8348d8dc, 0x1cc96d72, 0x83476ef6, 0x1cc34e1f, 0x8346055e, - 0x1cbd2eba, 0x83449c12, - 0x1cb70f43, 0x83433314, 0x1cb0efbb, 0x8341ca62, 0x1caad021, 0x834061fd, - 0x1ca4b075, 0x833ef9e6, - 0x1c9e90b8, 0x833d921b, 0x1c9870e9, 0x833c2a9d, 0x1c925109, 0x833ac36c, - 0x1c8c3116, 0x83395c88, - 0x1c861113, 0x8337f5f1, 0x1c7ff0fd, 0x83368fa7, 0x1c79d0d6, 0x833529aa, - 0x1c73b09d, 0x8333c3fa, - 0x1c6d9053, 0x83325e97, 0x1c676ff8, 0x8330f981, 0x1c614f8b, 0x832f94b8, - 0x1c5b2f0c, 0x832e303c, - 0x1c550e7c, 0x832ccc0d, 0x1c4eedda, 0x832b682b, 0x1c48cd27, 0x832a0496, - 0x1c42ac62, 0x8328a14d, - 0x1c3c8b8c, 0x83273e52, 0x1c366aa5, 0x8325dba4, 0x1c3049ac, 0x83247943, - 0x1c2a28a2, 0x8323172f, - 0x1c240786, 0x8321b568, 0x1c1de659, 0x832053ee, 0x1c17c51b, 0x831ef2c1, - 0x1c11a3cb, 0x831d91e1, - 0x1c0b826a, 0x831c314e, 0x1c0560f8, 0x831ad109, 0x1bff3f75, 0x83197110, - 0x1bf91de0, 0x83181164, - 0x1bf2fc3a, 0x8316b205, 0x1becda83, 0x831552f4, 0x1be6b8ba, 0x8313f42f, - 0x1be096e0, 0x831295b7, - 0x1bda74f6, 0x8311378d, 0x1bd452f9, 0x830fd9af, 0x1bce30ec, 0x830e7c1f, - 0x1bc80ece, 0x830d1edc, - 0x1bc1ec9e, 0x830bc1e6, 0x1bbbca5e, 0x830a653c, 0x1bb5a80c, 0x830908e0, - 0x1baf85a9, 0x8307acd1, - 0x1ba96335, 0x83065110, 0x1ba340b0, 0x8304f59b, 0x1b9d1e1a, 0x83039a73, - 0x1b96fb73, 0x83023f98, - 0x1b90d8bb, 0x8300e50b, 0x1b8ab5f2, 0x82ff8acb, 0x1b849317, 0x82fe30d7, - 0x1b7e702c, 0x82fcd731, - 0x1b784d30, 0x82fb7dd8, 0x1b722a23, 0x82fa24cc, 0x1b6c0705, 0x82f8cc0d, - 0x1b65e3d7, 0x82f7739c, - 0x1b5fc097, 0x82f61b77, 0x1b599d46, 0x82f4c3a0, 0x1b5379e5, 0x82f36c15, - 0x1b4d5672, 0x82f214d8, - 0x1b4732ef, 0x82f0bde8, 0x1b410f5b, 0x82ef6745, 0x1b3aebb6, 0x82ee10ef, - 0x1b34c801, 0x82ecbae7, - 0x1b2ea43a, 0x82eb652b, 0x1b288063, 0x82ea0fbd, 0x1b225c7b, 0x82e8ba9c, - 0x1b1c3883, 0x82e765c8, - 0x1b161479, 0x82e61141, 0x1b0ff05f, 0x82e4bd07, 0x1b09cc34, 0x82e3691b, - 0x1b03a7f9, 0x82e2157c, - 0x1afd83ad, 0x82e0c22a, 0x1af75f50, 0x82df6f25, 0x1af13ae3, 0x82de1c6d, - 0x1aeb1665, 0x82dcca02, - 0x1ae4f1d6, 0x82db77e5, 0x1adecd37, 0x82da2615, 0x1ad8a887, 0x82d8d492, - 0x1ad283c7, 0x82d7835c, - 0x1acc5ef6, 0x82d63274, 0x1ac63a14, 0x82d4e1d8, 0x1ac01522, 0x82d3918a, - 0x1ab9f020, 0x82d24189, - 0x1ab3cb0d, 0x82d0f1d5, 0x1aada5e9, 0x82cfa26f, 0x1aa780b6, 0x82ce5356, - 0x1aa15b71, 0x82cd048a, - 0x1a9b361d, 0x82cbb60b, 0x1a9510b7, 0x82ca67d9, 0x1a8eeb42, 0x82c919f5, - 0x1a88c5bc, 0x82c7cc5e, - 0x1a82a026, 0x82c67f14, 0x1a7c7a7f, 0x82c53217, 0x1a7654c8, 0x82c3e568, - 0x1a702f01, 0x82c29906, - 0x1a6a0929, 0x82c14cf1, 0x1a63e341, 0x82c00129, 0x1a5dbd49, 0x82beb5af, - 0x1a579741, 0x82bd6a82, - 0x1a517128, 0x82bc1fa2, 0x1a4b4aff, 0x82bad50f, 0x1a4524c6, 0x82b98aca, - 0x1a3efe7c, 0x82b840d2, - 0x1a38d823, 0x82b6f727, 0x1a32b1b9, 0x82b5adca, 0x1a2c8b3f, 0x82b464ba, - 0x1a2664b5, 0x82b31bf7, - 0x1a203e1b, 0x82b1d381, 0x1a1a1771, 0x82b08b59, 0x1a13f0b6, 0x82af437e, - 0x1a0dc9ec, 0x82adfbf0, - 0x1a07a311, 0x82acb4b0, 0x1a017c27, 0x82ab6dbd, 0x19fb552c, 0x82aa2717, - 0x19f52e22, 0x82a8e0bf, - 0x19ef0707, 0x82a79ab3, 0x19e8dfdc, 0x82a654f6, 0x19e2b8a2, 0x82a50f85, - 0x19dc9157, 0x82a3ca62, - 0x19d669fc, 0x82a2858c, 0x19d04292, 0x82a14104, 0x19ca1b17, 0x829ffcc8, - 0x19c3f38d, 0x829eb8db, - 0x19bdcbf3, 0x829d753a, 0x19b7a449, 0x829c31e7, 0x19b17c8f, 0x829aeee1, - 0x19ab54c5, 0x8299ac29, - 0x19a52ceb, 0x829869be, 0x199f0502, 0x829727a0, 0x1998dd09, 0x8295e5cf, - 0x1992b4ff, 0x8294a44c, - 0x198c8ce7, 0x82936317, 0x198664be, 0x8292222e, 0x19803c86, 0x8290e194, - 0x197a143e, 0x828fa146, - 0x1973ebe6, 0x828e6146, 0x196dc37e, 0x828d2193, 0x19679b07, 0x828be22e, - 0x19617280, 0x828aa316, - 0x195b49ea, 0x8289644b, 0x19552144, 0x828825ce, 0x194ef88e, 0x8286e79e, - 0x1948cfc8, 0x8285a9bb, - 0x1942a6f3, 0x82846c26, 0x193c7e0f, 0x82832edf, 0x1936551b, 0x8281f1e4, - 0x19302c17, 0x8280b538, - 0x192a0304, 0x827f78d8, 0x1923d9e1, 0x827e3cc6, 0x191db0af, 0x827d0102, - 0x1917876d, 0x827bc58a, - 0x19115e1c, 0x827a8a61, 0x190b34bb, 0x82794f84, 0x19050b4b, 0x827814f6, - 0x18fee1cb, 0x8276dab4, - 0x18f8b83c, 0x8275a0c0, 0x18f28e9e, 0x8274671a, 0x18ec64f0, 0x82732dc0, - 0x18e63b33, 0x8271f4b5, - 0x18e01167, 0x8270bbf7, 0x18d9e78b, 0x826f8386, 0x18d3bda0, 0x826e4b62, - 0x18cd93a5, 0x826d138d, - 0x18c7699b, 0x826bdc04, 0x18c13f82, 0x826aa4c9, 0x18bb155a, 0x82696ddc, - 0x18b4eb22, 0x8268373c, - 0x18aec0db, 0x826700e9, 0x18a89685, 0x8265cae4, 0x18a26c20, 0x8264952d, - 0x189c41ab, 0x82635fc2, - 0x18961728, 0x82622aa6, 0x188fec95, 0x8260f5d7, 0x1889c1f3, 0x825fc155, - 0x18839742, 0x825e8d21, - 0x187d6c82, 0x825d593a, 0x187741b2, 0x825c25a1, 0x187116d4, 0x825af255, - 0x186aebe6, 0x8259bf57, - 0x1864c0ea, 0x82588ca7, 0x185e95de, 0x82575a44, 0x18586ac3, 0x8256282e, - 0x18523f9a, 0x8254f666, - 0x184c1461, 0x8253c4eb, 0x1845e919, 0x825293be, 0x183fbdc3, 0x825162df, - 0x1839925d, 0x8250324d, - 0x183366e9, 0x824f0208, 0x182d3b65, 0x824dd211, 0x18270fd3, 0x824ca268, - 0x1820e431, 0x824b730c, - 0x181ab881, 0x824a43fe, 0x18148cc2, 0x8249153d, 0x180e60f4, 0x8247e6ca, - 0x18083518, 0x8246b8a4, - 0x1802092c, 0x82458acc, 0x17fbdd32, 0x82445d41, 0x17f5b129, 0x82433004, - 0x17ef8511, 0x82420315, - 0x17e958ea, 0x8240d673, 0x17e32cb5, 0x823faa1e, 0x17dd0070, 0x823e7e18, - 0x17d6d41d, 0x823d525e, - 0x17d0a7bc, 0x823c26f3, 0x17ca7b4c, 0x823afbd5, 0x17c44ecd, 0x8239d104, - 0x17be223f, 0x8238a681, - 0x17b7f5a3, 0x82377c4c, 0x17b1c8f8, 0x82365264, 0x17ab9c3e, 0x823528ca, - 0x17a56f76, 0x8233ff7e, - 0x179f429f, 0x8232d67f, 0x179915ba, 0x8231adce, 0x1792e8c6, 0x8230856a, - 0x178cbbc4, 0x822f5d54, - 0x17868eb3, 0x822e358b, 0x17806194, 0x822d0e10, 0x177a3466, 0x822be6e3, - 0x17740729, 0x822ac004, - 0x176dd9de, 0x82299971, 0x1767ac85, 0x8228732d, 0x17617f1d, 0x82274d36, - 0x175b51a7, 0x8226278d, - 0x17552422, 0x82250232, 0x174ef68f, 0x8223dd24, 0x1748c8ee, 0x8222b863, - 0x17429b3e, 0x822193f1, - 0x173c6d80, 0x82206fcc, 0x17363fb4, 0x821f4bf5, 0x173011d9, 0x821e286b, - 0x1729e3f0, 0x821d052f, - 0x1723b5f9, 0x821be240, 0x171d87f3, 0x821abfa0, 0x171759df, 0x82199d4d, - 0x17112bbd, 0x82187b47, - 0x170afd8d, 0x82175990, 0x1704cf4f, 0x82163826, 0x16fea102, 0x82151709, - 0x16f872a7, 0x8213f63a, - 0x16f2443e, 0x8212d5b9, 0x16ec15c7, 0x8211b586, 0x16e5e741, 0x821095a0, - 0x16dfb8ae, 0x820f7608, - 0x16d98a0c, 0x820e56be, 0x16d35b5c, 0x820d37c1, 0x16cd2c9f, 0x820c1912, - 0x16c6fdd3, 0x820afab1, - 0x16c0cef9, 0x8209dc9e, 0x16baa011, 0x8208bed8, 0x16b4711b, 0x8207a160, - 0x16ae4217, 0x82068435, - 0x16a81305, 0x82056758, 0x16a1e3e5, 0x82044ac9, 0x169bb4b7, 0x82032e88, - 0x1695857b, 0x82021294, - 0x168f5632, 0x8200f6ef, 0x168926da, 0x81ffdb96, 0x1682f774, 0x81fec08c, - 0x167cc801, 0x81fda5cf, - 0x1676987f, 0x81fc8b60, 0x167068f0, 0x81fb713f, 0x166a3953, 0x81fa576c, - 0x166409a8, 0x81f93de6, - 0x165dd9f0, 0x81f824ae, 0x1657aa29, 0x81f70bc3, 0x16517a55, 0x81f5f327, - 0x164b4a73, 0x81f4dad8, - 0x16451a83, 0x81f3c2d7, 0x163eea86, 0x81f2ab24, 0x1638ba7a, 0x81f193be, - 0x16328a61, 0x81f07ca6, - 0x162c5a3b, 0x81ef65dc, 0x16262a06, 0x81ee4f60, 0x161ff9c4, 0x81ed3932, - 0x1619c975, 0x81ec2351, - 0x16139918, 0x81eb0dbe, 0x160d68ad, 0x81e9f879, 0x16073834, 0x81e8e381, - 0x160107ae, 0x81e7ced8, - 0x15fad71b, 0x81e6ba7c, 0x15f4a679, 0x81e5a66e, 0x15ee75cb, 0x81e492ad, - 0x15e8450e, 0x81e37f3b, - 0x15e21445, 0x81e26c16, 0x15dbe36d, 0x81e1593f, 0x15d5b288, 0x81e046b6, - 0x15cf8196, 0x81df347b, - 0x15c95097, 0x81de228d, 0x15c31f89, 0x81dd10ee, 0x15bcee6f, 0x81dbff9c, - 0x15b6bd47, 0x81daee98, - 0x15b08c12, 0x81d9dde1, 0x15aa5acf, 0x81d8cd79, 0x15a4297f, 0x81d7bd5e, - 0x159df821, 0x81d6ad92, - 0x1597c6b7, 0x81d59e13, 0x1591953e, 0x81d48ee1, 0x158b63b9, 0x81d37ffe, - 0x15853226, 0x81d27169, - 0x157f0086, 0x81d16321, 0x1578ced9, 0x81d05527, 0x15729d1f, 0x81cf477b, - 0x156c6b57, 0x81ce3a1d, - 0x15663982, 0x81cd2d0c, 0x156007a0, 0x81cc204a, 0x1559d5b1, 0x81cb13d5, - 0x1553a3b4, 0x81ca07af, - 0x154d71aa, 0x81c8fbd6, 0x15473f94, 0x81c7f04b, 0x15410d70, 0x81c6e50d, - 0x153adb3f, 0x81c5da1e, - 0x1534a901, 0x81c4cf7d, 0x152e76b5, 0x81c3c529, 0x1528445d, 0x81c2bb23, - 0x152211f8, 0x81c1b16b, - 0x151bdf86, 0x81c0a801, 0x1515ad06, 0x81bf9ee5, 0x150f7a7a, 0x81be9617, - 0x150947e1, 0x81bd8d97, - 0x1503153a, 0x81bc8564, 0x14fce287, 0x81bb7d7f, 0x14f6afc7, 0x81ba75e9, - 0x14f07cf9, 0x81b96ea0, - 0x14ea4a1f, 0x81b867a5, 0x14e41738, 0x81b760f8, 0x14dde445, 0x81b65a99, - 0x14d7b144, 0x81b55488, - 0x14d17e36, 0x81b44ec4, 0x14cb4b1c, 0x81b3494f, 0x14c517f4, 0x81b24427, - 0x14bee4c0, 0x81b13f4e, - 0x14b8b17f, 0x81b03ac2, 0x14b27e32, 0x81af3684, 0x14ac4ad7, 0x81ae3294, - 0x14a61770, 0x81ad2ef2, - 0x149fe3fc, 0x81ac2b9e, 0x1499b07c, 0x81ab2898, 0x14937cee, 0x81aa25e0, - 0x148d4954, 0x81a92376, - 0x148715ae, 0x81a82159, 0x1480e1fa, 0x81a71f8b, 0x147aae3a, 0x81a61e0b, - 0x14747a6d, 0x81a51cd8, - 0x146e4694, 0x81a41bf4, 0x146812ae, 0x81a31b5d, 0x1461debc, 0x81a21b14, - 0x145baabd, 0x81a11b1a, - 0x145576b1, 0x81a01b6d, 0x144f4299, 0x819f1c0e, 0x14490e74, 0x819e1cfd, - 0x1442da43, 0x819d1e3a, - 0x143ca605, 0x819c1fc5, 0x143671bb, 0x819b219e, 0x14303d65, 0x819a23c5, - 0x142a0902, 0x8199263a, - 0x1423d492, 0x819828fd, 0x141da016, 0x81972c0e, 0x14176b8e, 0x81962f6d, - 0x141136f9, 0x8195331a, - 0x140b0258, 0x81943715, 0x1404cdaa, 0x81933b5e, 0x13fe98f1, 0x81923ff4, - 0x13f8642a, 0x819144d9, - 0x13f22f58, 0x81904a0c, 0x13ebfa79, 0x818f4f8d, 0x13e5c58e, 0x818e555c, - 0x13df9097, 0x818d5b78, - 0x13d95b93, 0x818c61e3, 0x13d32683, 0x818b689c, 0x13ccf167, 0x818a6fa3, - 0x13c6bc3f, 0x818976f8, - 0x13c0870a, 0x81887e9a, 0x13ba51ca, 0x8187868b, 0x13b41c7d, 0x81868eca, - 0x13ade724, 0x81859757, - 0x13a7b1bf, 0x8184a032, 0x13a17c4d, 0x8183a95b, 0x139b46d0, 0x8182b2d1, - 0x13951146, 0x8181bc96, - 0x138edbb1, 0x8180c6a9, 0x1388a60f, 0x817fd10a, 0x13827062, 0x817edbb9, - 0x137c3aa8, 0x817de6b6, - 0x137604e2, 0x817cf201, 0x136fcf10, 0x817bfd9b, 0x13699933, 0x817b0982, - 0x13636349, 0x817a15b7, - 0x135d2d53, 0x8179223a, 0x1356f752, 0x81782f0b, 0x1350c144, 0x81773c2b, - 0x134a8b2b, 0x81764998, - 0x13445505, 0x81755754, 0x133e1ed4, 0x8174655d, 0x1337e897, 0x817373b5, - 0x1331b24e, 0x8172825a, - 0x132b7bf9, 0x8171914e, 0x13254599, 0x8170a090, 0x131f0f2c, 0x816fb020, - 0x1318d8b4, 0x816ebffe, - 0x1312a230, 0x816dd02a, 0x130c6ba0, 0x816ce0a4, 0x13063505, 0x816bf16c, - 0x12fffe5d, 0x816b0282, - 0x12f9c7aa, 0x816a13e6, 0x12f390ec, 0x81692599, 0x12ed5a21, 0x81683799, - 0x12e7234b, 0x816749e8, - 0x12e0ec6a, 0x81665c84, 0x12dab57c, 0x81656f6f, 0x12d47e83, 0x816482a8, - 0x12ce477f, 0x8163962f, - 0x12c8106f, 0x8162aa04, 0x12c1d953, 0x8161be27, 0x12bba22b, 0x8160d298, - 0x12b56af9, 0x815fe758, - 0x12af33ba, 0x815efc65, 0x12a8fc70, 0x815e11c1, 0x12a2c51b, 0x815d276a, - 0x129c8dba, 0x815c3d62, - 0x1296564d, 0x815b53a8, 0x12901ed5, 0x815a6a3c, 0x1289e752, 0x8159811e, - 0x1283afc3, 0x8158984e, - 0x127d7829, 0x8157afcd, 0x12774083, 0x8156c799, 0x127108d2, 0x8155dfb4, - 0x126ad116, 0x8154f81d, - 0x1264994e, 0x815410d4, 0x125e617b, 0x815329d9, 0x1258299c, 0x8152432c, - 0x1251f1b3, 0x81515ccd, - 0x124bb9be, 0x815076bd, 0x124581bd, 0x814f90fb, 0x123f49b2, 0x814eab86, - 0x1239119b, 0x814dc660, - 0x1232d979, 0x814ce188, 0x122ca14b, 0x814bfcff, 0x12266913, 0x814b18c3, - 0x122030cf, 0x814a34d6, - 0x1219f880, 0x81495136, 0x1213c026, 0x81486de5, 0x120d87c1, 0x81478ae2, - 0x12074f50, 0x8146a82e, - 0x120116d5, 0x8145c5c7, 0x11fade4e, 0x8144e3ae, 0x11f4a5bd, 0x814401e4, - 0x11ee6d20, 0x81432068, - 0x11e83478, 0x81423f3a, 0x11e1fbc5, 0x81415e5a, 0x11dbc307, 0x81407dc9, - 0x11d58a3e, 0x813f9d86, - 0x11cf516a, 0x813ebd90, 0x11c9188b, 0x813ddde9, 0x11c2dfa2, 0x813cfe91, - 0x11bca6ad, 0x813c1f86, - 0x11b66dad, 0x813b40ca, 0x11b034a2, 0x813a625b, 0x11a9fb8d, 0x8139843b, - 0x11a3c26c, 0x8138a66a, - 0x119d8941, 0x8137c8e6, 0x1197500a, 0x8136ebb1, 0x119116c9, 0x81360ec9, - 0x118add7d, 0x81353230, - 0x1184a427, 0x813455e6, 0x117e6ac5, 0x813379e9, 0x11783159, 0x81329e3b, - 0x1171f7e2, 0x8131c2db, - 0x116bbe60, 0x8130e7c9, 0x116584d3, 0x81300d05, 0x115f4b3c, 0x812f3290, - 0x1159119a, 0x812e5868, - 0x1152d7ed, 0x812d7e8f, 0x114c9e35, 0x812ca505, 0x11466473, 0x812bcbc8, - 0x11402aa6, 0x812af2da, - 0x1139f0cf, 0x812a1a3a, 0x1133b6ed, 0x812941e8, 0x112d7d00, 0x812869e4, - 0x11274309, 0x8127922f, - 0x11210907, 0x8126bac8, 0x111acefb, 0x8125e3af, 0x111494e4, 0x81250ce4, - 0x110e5ac2, 0x81243668, - 0x11082096, 0x8123603a, 0x1101e65f, 0x81228a5a, 0x10fbac1e, 0x8121b4c8, - 0x10f571d3, 0x8120df85, - 0x10ef377d, 0x81200a90, 0x10e8fd1c, 0x811f35e9, 0x10e2c2b2, 0x811e6191, - 0x10dc883c, 0x811d8d86, - 0x10d64dbd, 0x811cb9ca, 0x10d01333, 0x811be65d, 0x10c9d89e, 0x811b133d, - 0x10c39dff, 0x811a406c, - 0x10bd6356, 0x81196de9, 0x10b728a3, 0x81189bb4, 0x10b0ede5, 0x8117c9ce, - 0x10aab31d, 0x8116f836, - 0x10a4784b, 0x811626ec, 0x109e3d6e, 0x811555f1, 0x10980287, 0x81148544, - 0x1091c796, 0x8113b4e5, - 0x108b8c9b, 0x8112e4d4, 0x10855195, 0x81121512, 0x107f1686, 0x8111459e, - 0x1078db6c, 0x81107678, - 0x1072a048, 0x810fa7a0, 0x106c651a, 0x810ed917, 0x106629e1, 0x810e0adc, - 0x105fee9f, 0x810d3cf0, - 0x1059b352, 0x810c6f52, 0x105377fc, 0x810ba202, 0x104d3c9b, 0x810ad500, - 0x10470130, 0x810a084d, - 0x1040c5bb, 0x81093be8, 0x103a8a3d, 0x81086fd1, 0x10344eb4, 0x8107a409, - 0x102e1321, 0x8106d88f, - 0x1027d784, 0x81060d63, 0x10219bdd, 0x81054286, 0x101b602d, 0x810477f7, - 0x10152472, 0x8103adb6, - 0x100ee8ad, 0x8102e3c4, 0x1008acdf, 0x81021a20, 0x10027107, 0x810150ca, - 0xffc3524, 0x810087c3, - 0xff5f938, 0x80ffbf0a, 0xfefbd42, 0x80fef69f, 0xfe98143, 0x80fe2e83, - 0xfe34539, 0x80fd66b5, - 0xfdd0926, 0x80fc9f35, 0xfd6cd08, 0x80fbd804, 0xfd090e1, 0x80fb1121, - 0xfca54b1, 0x80fa4a8c, - 0xfc41876, 0x80f98446, 0xfbddc32, 0x80f8be4e, 0xfb79fe4, 0x80f7f8a4, - 0xfb1638d, 0x80f73349, - 0xfab272b, 0x80f66e3c, 0xfa4eac0, 0x80f5a97e, 0xf9eae4c, 0x80f4e50e, - 0xf9871ce, 0x80f420ec, - 0xf923546, 0x80f35d19, 0xf8bf8b4, 0x80f29994, 0xf85bc19, 0x80f1d65d, - 0xf7f7f75, 0x80f11375, - 0xf7942c7, 0x80f050db, 0xf73060f, 0x80ef8e90, 0xf6cc94e, 0x80eecc93, - 0xf668c83, 0x80ee0ae4, - 0xf604faf, 0x80ed4984, 0xf5a12d1, 0x80ec8872, 0xf53d5ea, 0x80ebc7ae, - 0xf4d98f9, 0x80eb0739, - 0xf475bff, 0x80ea4712, 0xf411efb, 0x80e9873a, 0xf3ae1ee, 0x80e8c7b0, - 0xf34a4d8, 0x80e80874, - 0xf2e67b8, 0x80e74987, 0xf282a8f, 0x80e68ae8, 0xf21ed5d, 0x80e5cc98, - 0xf1bb021, 0x80e50e96, - 0xf1572dc, 0x80e450e2, 0xf0f358e, 0x80e3937d, 0xf08f836, 0x80e2d666, - 0xf02bad5, 0x80e2199e, - 0xefc7d6b, 0x80e15d24, 0xef63ff7, 0x80e0a0f8, 0xef0027b, 0x80dfe51b, - 0xee9c4f5, 0x80df298c, - 0xee38766, 0x80de6e4c, 0xedd49ce, 0x80ddb35a, 0xed70c2c, 0x80dcf8b7, - 0xed0ce82, 0x80dc3e62, - 0xeca90ce, 0x80db845b, 0xec45311, 0x80dacaa3, 0xebe154b, 0x80da1139, - 0xeb7d77c, 0x80d9581e, - 0xeb199a4, 0x80d89f51, 0xeab5bc3, 0x80d7e6d3, 0xea51dd8, 0x80d72ea3, - 0xe9edfe5, 0x80d676c1, - 0xe98a1e9, 0x80d5bf2e, 0xe9263e3, 0x80d507e9, 0xe8c25d5, 0x80d450f3, - 0xe85e7be, 0x80d39a4b, - 0xe7fa99e, 0x80d2e3f2, 0xe796b74, 0x80d22de7, 0xe732d42, 0x80d1782a, - 0xe6cef07, 0x80d0c2bc, - 0xe66b0c3, 0x80d00d9d, 0xe607277, 0x80cf58cc, 0xe5a3421, 0x80cea449, - 0xe53f5c2, 0x80cdf015, - 0xe4db75b, 0x80cd3c2f, 0xe4778eb, 0x80cc8898, 0xe413a72, 0x80cbd54f, - 0xe3afbf0, 0x80cb2255, - 0xe34bd66, 0x80ca6fa9, 0xe2e7ed2, 0x80c9bd4c, 0xe284036, 0x80c90b3d, - 0xe220191, 0x80c8597c, - 0xe1bc2e4, 0x80c7a80a, 0xe15842e, 0x80c6f6e7, 0xe0f456f, 0x80c64612, - 0xe0906a7, 0x80c5958b, - 0xe02c7d7, 0x80c4e553, 0xdfc88fe, 0x80c4356a, 0xdf64a1c, 0x80c385cf, - 0xdf00b32, 0x80c2d682, - 0xde9cc40, 0x80c22784, 0xde38d44, 0x80c178d4, 0xddd4e40, 0x80c0ca73, - 0xdd70f34, 0x80c01c60, - 0xdd0d01f, 0x80bf6e9c, 0xdca9102, 0x80bec127, 0xdc451dc, 0x80be13ff, - 0xdbe12ad, 0x80bd6727, - 0xdb7d376, 0x80bcba9d, 0xdb19437, 0x80bc0e61, 0xdab54ef, 0x80bb6274, - 0xda5159f, 0x80bab6d5, - 0xd9ed646, 0x80ba0b85, 0xd9896e5, 0x80b96083, 0xd92577b, 0x80b8b5d0, - 0xd8c1809, 0x80b80b6c, - 0xd85d88f, 0x80b76156, 0xd7f990c, 0x80b6b78e, 0xd795982, 0x80b60e15, - 0xd7319ee, 0x80b564ea, - 0xd6cda53, 0x80b4bc0e, 0xd669aaf, 0x80b41381, 0xd605b03, 0x80b36b42, - 0xd5a1b4f, 0x80b2c351, - 0xd53db92, 0x80b21baf, 0xd4d9bcd, 0x80b1745c, 0xd475c00, 0x80b0cd57, - 0xd411c2b, 0x80b026a1, - 0xd3adc4e, 0x80af8039, 0xd349c68, 0x80aeda20, 0xd2e5c7b, 0x80ae3455, - 0xd281c85, 0x80ad8ed9, - 0xd21dc87, 0x80ace9ab, 0xd1b9c81, 0x80ac44cc, 0xd155c73, 0x80aba03b, - 0xd0f1c5d, 0x80aafbf9, - 0xd08dc3f, 0x80aa5806, 0xd029c18, 0x80a9b461, 0xcfc5bea, 0x80a9110b, - 0xcf61bb4, 0x80a86e03, - 0xcefdb76, 0x80a7cb49, 0xce99b2f, 0x80a728df, 0xce35ae1, 0x80a686c2, - 0xcdd1a8b, 0x80a5e4f5, - 0xcd6da2d, 0x80a54376, 0xcd099c7, 0x80a4a245, 0xcca5959, 0x80a40163, - 0xcc418e3, 0x80a360d0, - 0xcbdd865, 0x80a2c08b, 0xcb797e0, 0x80a22095, 0xcb15752, 0x80a180ed, - 0xcab16bd, 0x80a0e194, - 0xca4d620, 0x80a04289, 0xc9e957b, 0x809fa3cd, 0xc9854cf, 0x809f0560, - 0xc92141a, 0x809e6741, - 0xc8bd35e, 0x809dc971, 0xc85929a, 0x809d2bef, 0xc7f51cf, 0x809c8ebc, - 0xc7910fb, 0x809bf1d7, - 0xc72d020, 0x809b5541, 0xc6c8f3e, 0x809ab8fa, 0xc664e53, 0x809a1d01, - 0xc600d61, 0x80998157, - 0xc59cc68, 0x8098e5fb, 0xc538b66, 0x80984aee, 0xc4d4a5d, 0x8097b030, - 0xc47094d, 0x809715c0, - 0xc40c835, 0x80967b9f, 0xc3a8715, 0x8095e1cc, 0xc3445ee, 0x80954848, - 0xc2e04c0, 0x8094af13, - 0xc27c389, 0x8094162c, 0xc21824c, 0x80937d93, 0xc1b4107, 0x8092e54a, - 0xc14ffba, 0x80924d4f, - 0xc0ebe66, 0x8091b5a2, 0xc087d0a, 0x80911e44, 0xc023ba7, 0x80908735, - 0xbfbfa3d, 0x808ff074, - 0xbf5b8cb, 0x808f5a02, 0xbef7752, 0x808ec3df, 0xbe935d2, 0x808e2e0a, - 0xbe2f44a, 0x808d9884, - 0xbdcb2bb, 0x808d034c, 0xbd67124, 0x808c6e63, 0xbd02f87, 0x808bd9c9, - 0xbc9ede2, 0x808b457d, - 0xbc3ac35, 0x808ab180, 0xbbd6a82, 0x808a1dd2, 0xbb728c7, 0x80898a72, - 0xbb0e705, 0x8088f761, - 0xbaaa53b, 0x8088649e, 0xba4636b, 0x8087d22a, 0xb9e2193, 0x80874005, - 0xb97dfb5, 0x8086ae2e, - 0xb919dcf, 0x80861ca6, 0xb8b5be1, 0x80858b6c, 0xb8519ed, 0x8084fa82, - 0xb7ed7f2, 0x808469e5, - 0xb7895f0, 0x8083d998, 0xb7253e6, 0x80834999, 0xb6c11d5, 0x8082b9e9, - 0xb65cfbe, 0x80822a87, - 0xb5f8d9f, 0x80819b74, 0xb594b7a, 0x80810cb0, 0xb53094d, 0x80807e3a, - 0xb4cc719, 0x807ff013, - 0xb4684df, 0x807f623b, 0xb40429d, 0x807ed4b1, 0xb3a0055, 0x807e4776, - 0xb33be05, 0x807dba89, - 0xb2d7baf, 0x807d2dec, 0xb273952, 0x807ca19c, 0xb20f6ee, 0x807c159c, - 0xb1ab483, 0x807b89ea, - 0xb147211, 0x807afe87, 0xb0e2f98, 0x807a7373, 0xb07ed19, 0x8079e8ad, - 0xb01aa92, 0x80795e36, - 0xafb6805, 0x8078d40d, 0xaf52571, 0x80784a33, 0xaeee2d7, 0x8077c0a8, - 0xae8a036, 0x8077376c, - 0xae25d8d, 0x8076ae7e, 0xadc1adf, 0x807625df, 0xad5d829, 0x80759d8e, - 0xacf956d, 0x8075158c, - 0xac952aa, 0x80748dd9, 0xac30fe1, 0x80740675, 0xabccd11, 0x80737f5f, - 0xab68a3a, 0x8072f898, - 0xab0475c, 0x8072721f, 0xaaa0478, 0x8071ebf6, 0xaa3c18e, 0x8071661a, - 0xa9d7e9d, 0x8070e08e, - 0xa973ba5, 0x80705b50, 0xa90f8a7, 0x806fd661, 0xa8ab5a2, 0x806f51c1, - 0xa847297, 0x806ecd6f, - 0xa7e2f85, 0x806e496c, 0xa77ec6d, 0x806dc5b8, 0xa71a94f, 0x806d4253, - 0xa6b662a, 0x806cbf3c, - 0xa6522fe, 0x806c3c74, 0xa5edfcc, 0x806bb9fa, 0xa589c94, 0x806b37cf, - 0xa525955, 0x806ab5f3, - 0xa4c1610, 0x806a3466, 0xa45d2c5, 0x8069b327, 0xa3f8f73, 0x80693237, - 0xa394c1b, 0x8068b196, - 0xa3308bd, 0x80683143, 0xa2cc558, 0x8067b13f, 0xa2681ed, 0x8067318a, - 0xa203e7c, 0x8066b224, - 0xa19fb04, 0x8066330c, 0xa13b787, 0x8065b443, 0xa0d7403, 0x806535c9, - 0xa073079, 0x8064b79d, - 0xa00ece8, 0x806439c0, 0x9faa952, 0x8063bc32, 0x9f465b5, 0x80633ef3, - 0x9ee2213, 0x8062c202, - 0x9e7de6a, 0x80624560, 0x9e19abb, 0x8061c90c, 0x9db5706, 0x80614d08, - 0x9d5134b, 0x8060d152, - 0x9cecf89, 0x806055eb, 0x9c88bc2, 0x805fdad2, 0x9c247f5, 0x805f6009, - 0x9bc0421, 0x805ee58e, - 0x9b5c048, 0x805e6b62, 0x9af7c69, 0x805df184, 0x9a93884, 0x805d77f5, - 0x9a2f498, 0x805cfeb5, - 0x99cb0a7, 0x805c85c4, 0x9966cb0, 0x805c0d21, 0x99028b3, 0x805b94ce, - 0x989e4b0, 0x805b1cc8, - 0x983a0a7, 0x805aa512, 0x97d5c99, 0x805a2daa, 0x9771884, 0x8059b692, - 0x970d46a, 0x80593fc7, - 0x96a9049, 0x8058c94c, 0x9644c23, 0x8058531f, 0x95e07f8, 0x8057dd41, - 0x957c3c6, 0x805767b2, - 0x9517f8f, 0x8056f272, 0x94b3b52, 0x80567d80, 0x944f70f, 0x805608dd, - 0x93eb2c6, 0x80559489, - 0x9386e78, 0x80552084, 0x9322a24, 0x8054accd, 0x92be5ca, 0x80543965, - 0x925a16b, 0x8053c64c, - 0x91f5d06, 0x80535381, 0x919189c, 0x8052e106, 0x912d42c, 0x80526ed9, - 0x90c8fb6, 0x8051fcfb, - 0x9064b3a, 0x80518b6b, 0x90006ba, 0x80511a2b, 0x8f9c233, 0x8050a939, - 0x8f37da7, 0x80503896, - 0x8ed3916, 0x804fc841, 0x8e6f47f, 0x804f583c, 0x8e0afe2, 0x804ee885, - 0x8da6b40, 0x804e791d, - 0x8d42699, 0x804e0a04, 0x8cde1ec, 0x804d9b39, 0x8c79d3a, 0x804d2cbd, - 0x8c15882, 0x804cbe90, - 0x8bb13c5, 0x804c50b2, 0x8b4cf02, 0x804be323, 0x8ae8a3a, 0x804b75e2, - 0x8a8456d, 0x804b08f0, - 0x8a2009a, 0x804a9c4d, 0x89bbbc3, 0x804a2ff9, 0x89576e5, 0x8049c3f3, - 0x88f3203, 0x8049583d, - 0x888ed1b, 0x8048ecd5, 0x882a82e, 0x804881bb, 0x87c633c, 0x804816f1, - 0x8761e44, 0x8047ac75, - 0x86fd947, 0x80474248, 0x8699445, 0x8046d86a, 0x8634f3e, 0x80466edb, - 0x85d0a32, 0x8046059b, - 0x856c520, 0x80459ca9, 0x850800a, 0x80453406, 0x84a3aee, 0x8044cbb2, - 0x843f5cd, 0x804463ad, - 0x83db0a7, 0x8043fbf6, 0x8376b7c, 0x8043948e, 0x831264c, 0x80432d75, - 0x82ae117, 0x8042c6ab, - 0x8249bdd, 0x80426030, 0x81e569d, 0x8041fa03, 0x8181159, 0x80419425, - 0x811cc10, 0x80412e96, - 0x80b86c2, 0x8040c956, 0x805416e, 0x80406465, 0x7fefc16, 0x803fffc2, - 0x7f8b6b9, 0x803f9b6f, - 0x7f27157, 0x803f376a, 0x7ec2bf0, 0x803ed3b3, 0x7e5e685, 0x803e704c, - 0x7dfa114, 0x803e0d34, - 0x7d95b9e, 0x803daa6a, 0x7d31624, 0x803d47ef, 0x7ccd0a5, 0x803ce5c3, - 0x7c68b21, 0x803c83e5, - 0x7c04598, 0x803c2257, 0x7ba000b, 0x803bc117, 0x7b3ba78, 0x803b6026, - 0x7ad74e1, 0x803aff84, - 0x7a72f45, 0x803a9f31, 0x7a0e9a5, 0x803a3f2d, 0x79aa400, 0x8039df77, - 0x7945e56, 0x80398010, - 0x78e18a7, 0x803920f8, 0x787d2f4, 0x8038c22f, 0x7818d3c, 0x803863b5, - 0x77b4780, 0x80380589, - 0x77501be, 0x8037a7ac, 0x76ebbf9, 0x80374a1f, 0x768762e, 0x8036ece0, - 0x762305f, 0x80368fef, - 0x75bea8c, 0x8036334e, 0x755a4b4, 0x8035d6fb, 0x74f5ed7, 0x80357af8, - 0x74918f6, 0x80351f43, - 0x742d311, 0x8034c3dd, 0x73c8d27, 0x803468c5, 0x7364738, 0x80340dfd, - 0x7300145, 0x8033b383, - 0x729bb4e, 0x80335959, 0x7237552, 0x8032ff7d, 0x71d2f52, 0x8032a5ef, - 0x716e94e, 0x80324cb1, - 0x710a345, 0x8031f3c2, 0x70a5d37, 0x80319b21, 0x7041726, 0x803142cf, - 0x6fdd110, 0x8030eacd, - 0x6f78af6, 0x80309318, 0x6f144d7, 0x80303bb3, 0x6eafeb4, 0x802fe49d, - 0x6e4b88d, 0x802f8dd5, - 0x6de7262, 0x802f375d, 0x6d82c32, 0x802ee133, 0x6d1e5fe, 0x802e8b58, - 0x6cb9fc6, 0x802e35cb, - 0x6c5598a, 0x802de08e, 0x6bf1349, 0x802d8ba0, 0x6b8cd05, 0x802d3700, - 0x6b286bc, 0x802ce2af, - 0x6ac406f, 0x802c8ead, 0x6a5fa1e, 0x802c3afa, 0x69fb3c9, 0x802be796, - 0x6996d70, 0x802b9480, - 0x6932713, 0x802b41ba, 0x68ce0b2, 0x802aef42, 0x6869a4c, 0x802a9d19, - 0x68053e3, 0x802a4b3f, - 0x67a0d76, 0x8029f9b4, 0x673c704, 0x8029a878, 0x66d808f, 0x8029578b, - 0x6673a16, 0x802906ec, - 0x660f398, 0x8028b69c, 0x65aad17, 0x8028669b, 0x6546692, 0x802816e9, - 0x64e2009, 0x8027c786, - 0x647d97c, 0x80277872, 0x64192eb, 0x802729ad, 0x63b4c57, 0x8026db36, - 0x63505be, 0x80268d0e, - 0x62ebf22, 0x80263f36, 0x6287882, 0x8025f1ac, 0x62231de, 0x8025a471, - 0x61beb36, 0x80255784, - 0x615a48b, 0x80250ae7, 0x60f5ddc, 0x8024be99, 0x6091729, 0x80247299, - 0x602d072, 0x802426e8, - 0x5fc89b8, 0x8023db86, 0x5f642fa, 0x80239073, 0x5effc38, 0x802345af, - 0x5e9b572, 0x8022fb3a, - 0x5e36ea9, 0x8022b114, 0x5dd27dd, 0x8022673c, 0x5d6e10c, 0x80221db3, - 0x5d09a38, 0x8021d47a, - 0x5ca5361, 0x80218b8f, 0x5c40c86, 0x802142f3, 0x5bdc5a7, 0x8020faa6, - 0x5b77ec5, 0x8020b2a7, - 0x5b137df, 0x80206af8, 0x5aaf0f6, 0x80202397, 0x5a4aa09, 0x801fdc86, - 0x59e6319, 0x801f95c3, - 0x5981c26, 0x801f4f4f, 0x591d52f, 0x801f092a, 0x58b8e34, 0x801ec354, - 0x5854736, 0x801e7dcd, - 0x57f0035, 0x801e3895, 0x578b930, 0x801df3ab, 0x5727228, 0x801daf11, - 0x56c2b1c, 0x801d6ac5, - 0x565e40d, 0x801d26c8, 0x55f9cfb, 0x801ce31a, 0x55955e6, 0x801c9fbb, - 0x5530ecd, 0x801c5cab, - 0x54cc7b1, 0x801c19ea, 0x5468092, 0x801bd777, 0x540396f, 0x801b9554, - 0x539f249, 0x801b537f, - 0x533ab20, 0x801b11fa, 0x52d63f4, 0x801ad0c3, 0x5271cc4, 0x801a8fdb, - 0x520d592, 0x801a4f42, - 0x51a8e5c, 0x801a0ef8, 0x5144723, 0x8019cefd, 0x50dffe7, 0x80198f50, - 0x507b8a8, 0x80194ff3, - 0x5017165, 0x801910e4, 0x4fb2a20, 0x8018d225, 0x4f4e2d8, 0x801893b4, - 0x4ee9b8c, 0x80185592, - 0x4e8543e, 0x801817bf, 0x4e20cec, 0x8017da3b, 0x4dbc597, 0x80179d06, - 0x4d57e40, 0x80176020, - 0x4cf36e5, 0x80172388, 0x4c8ef88, 0x8016e740, 0x4c2a827, 0x8016ab46, - 0x4bc60c4, 0x80166f9c, - 0x4b6195d, 0x80163440, 0x4afd1f4, 0x8015f933, 0x4a98a88, 0x8015be75, - 0x4a34319, 0x80158406, - 0x49cfba7, 0x801549e6, 0x496b432, 0x80151015, 0x4906cbb, 0x8014d693, - 0x48a2540, 0x80149d5f, - 0x483ddc3, 0x8014647b, 0x47d9643, 0x80142be5, 0x4774ec1, 0x8013f39e, - 0x471073b, 0x8013bba7, - 0x46abfb3, 0x801383fe, 0x4647828, 0x80134ca4, 0x45e309a, 0x80131599, - 0x457e90a, 0x8012dedd, - 0x451a177, 0x8012a86f, 0x44b59e1, 0x80127251, 0x4451249, 0x80123c82, - 0x43ecaae, 0x80120701, - 0x4388310, 0x8011d1d0, 0x4323b70, 0x80119ced, 0x42bf3cd, 0x80116859, - 0x425ac28, 0x80113414, - 0x41f6480, 0x8011001f, 0x4191cd5, 0x8010cc78, 0x412d528, 0x8010991f, - 0x40c8d79, 0x80106616, - 0x40645c7, 0x8010335c, 0x3fffe12, 0x801000f1, 0x3f9b65b, 0x800fced4, - 0x3f36ea2, 0x800f9d07, - 0x3ed26e6, 0x800f6b88, 0x3e6df28, 0x800f3a59, 0x3e09767, 0x800f0978, - 0x3da4fa4, 0x800ed8e6, - 0x3d407df, 0x800ea8a3, 0x3cdc017, 0x800e78af, 0x3c7784d, 0x800e490a, - 0x3c13080, 0x800e19b4, - 0x3bae8b2, 0x800deaad, 0x3b4a0e0, 0x800dbbf5, 0x3ae590d, 0x800d8d8b, - 0x3a81137, 0x800d5f71, - 0x3a1c960, 0x800d31a5, 0x39b8185, 0x800d0429, 0x39539a9, 0x800cd6fb, - 0x38ef1ca, 0x800caa1c, - 0x388a9ea, 0x800c7d8c, 0x3826207, 0x800c514c, 0x37c1a22, 0x800c255a, - 0x375d23a, 0x800bf9b7, - 0x36f8a51, 0x800bce63, 0x3694265, 0x800ba35d, 0x362fa78, 0x800b78a7, - 0x35cb288, 0x800b4e40, - 0x3566a96, 0x800b2427, 0x35022a2, 0x800afa5e, 0x349daac, 0x800ad0e3, - 0x34392b4, 0x800aa7b8, - 0x33d4abb, 0x800a7edb, 0x33702bf, 0x800a564e, 0x330bac1, 0x800a2e0f, - 0x32a72c1, 0x800a061f, - 0x3242abf, 0x8009de7e, 0x31de2bb, 0x8009b72c, 0x3179ab5, 0x80099029, - 0x31152ae, 0x80096975, - 0x30b0aa4, 0x80094310, 0x304c299, 0x80091cf9, 0x2fe7a8c, 0x8008f732, - 0x2f8327d, 0x8008d1ba, - 0x2f1ea6c, 0x8008ac90, 0x2eba259, 0x800887b6, 0x2e55a44, 0x8008632a, - 0x2df122e, 0x80083eed, - 0x2d8ca16, 0x80081b00, 0x2d281fc, 0x8007f761, 0x2cc39e1, 0x8007d411, - 0x2c5f1c3, 0x8007b110, - 0x2bfa9a4, 0x80078e5e, 0x2b96184, 0x80076bfb, 0x2b31961, 0x800749e7, - 0x2acd13d, 0x80072822, - 0x2a68917, 0x800706ac, 0x2a040f0, 0x8006e585, 0x299f8c7, 0x8006c4ac, - 0x293b09c, 0x8006a423, - 0x28d6870, 0x800683e8, 0x2872043, 0x800663fd, 0x280d813, 0x80064460, - 0x27a8fe2, 0x80062513, - 0x27447b0, 0x80060614, 0x26dff7c, 0x8005e764, 0x267b747, 0x8005c904, - 0x2616f10, 0x8005aaf2, - 0x25b26d7, 0x80058d2f, 0x254de9e, 0x80056fbb, 0x24e9662, 0x80055296, - 0x2484e26, 0x800535c0, - 0x24205e8, 0x80051939, 0x23bbda8, 0x8004fd00, 0x2357567, 0x8004e117, - 0x22f2d25, 0x8004c57d, - 0x228e4e2, 0x8004aa32, 0x2229c9d, 0x80048f35, 0x21c5457, 0x80047488, - 0x2160c0f, 0x80045a29, - 0x20fc3c6, 0x8004401a, 0x2097b7c, 0x80042659, 0x2033331, 0x80040ce7, - 0x1fceae4, 0x8003f3c5, - 0x1f6a297, 0x8003daf1, 0x1f05a48, 0x8003c26c, 0x1ea11f7, 0x8003aa36, - 0x1e3c9a6, 0x8003924f, - 0x1dd8154, 0x80037ab7, 0x1d73900, 0x8003636e, 0x1d0f0ab, 0x80034c74, - 0x1caa855, 0x800335c9, - 0x1c45ffe, 0x80031f6d, 0x1be17a6, 0x80030960, 0x1b7cf4d, 0x8002f3a1, - 0x1b186f3, 0x8002de32, - 0x1ab3e97, 0x8002c912, 0x1a4f63b, 0x8002b440, 0x19eaddd, 0x80029fbe, - 0x198657f, 0x80028b8a, - 0x1921d20, 0x800277a6, 0x18bd4bf, 0x80026410, 0x1858c5e, 0x800250c9, - 0x17f43fc, 0x80023dd2, - 0x178fb99, 0x80022b29, 0x172b335, 0x800218cf, 0x16c6ad0, 0x800206c4, - 0x166226a, 0x8001f508, - 0x15fda03, 0x8001e39b, 0x159919c, 0x8001d27d, 0x1534934, 0x8001c1ae, - 0x14d00ca, 0x8001b12e, - 0x146b860, 0x8001a0fd, 0x1406ff6, 0x8001911b, 0x13a278a, 0x80018187, - 0x133df1e, 0x80017243, - 0x12d96b1, 0x8001634e, 0x1274e43, 0x800154a7, 0x12105d5, 0x80014650, - 0x11abd66, 0x80013847, - 0x11474f6, 0x80012a8e, 0x10e2c85, 0x80011d23, 0x107e414, 0x80011008, - 0x1019ba2, 0x8001033b, - 0xfb5330, 0x8000f6bd, 0xf50abd, 0x8000ea8e, 0xeec249, 0x8000deaf, 0xe879d5, - 0x8000d31e, - 0xe23160, 0x8000c7dc, 0xdbe8eb, 0x8000bce9, 0xd5a075, 0x8000b245, 0xcf57ff, - 0x8000a7f0, - 0xc90f88, 0x80009dea, 0xc2c711, 0x80009433, 0xbc7e99, 0x80008aca, 0xb63621, - 0x800081b1, - 0xafeda8, 0x800078e7, 0xa9a52f, 0x8000706c, 0xa35cb5, 0x8000683f, 0x9d143b, - 0x80006062, - 0x96cbc1, 0x800058d4, 0x908346, 0x80005194, 0x8a3acb, 0x80004aa4, 0x83f250, - 0x80004402, - 0x7da9d4, 0x80003daf, 0x776159, 0x800037ac, 0x7118dc, 0x800031f7, 0x6ad060, - 0x80002c91, - 0x6487e3, 0x8000277a, 0x5e3f66, 0x800022b3, 0x57f6e9, 0x80001e3a, 0x51ae6b, - 0x80001a10, - 0x4b65ee, 0x80001635, 0x451d70, 0x800012a9, 0x3ed4f2, 0x80000f6c, 0x388c74, - 0x80000c7e, - 0x3243f5, 0x800009df, 0x2bfb77, 0x8000078e, 0x25b2f8, 0x8000058d, 0x1f6a7a, - 0x800003db, - 0x1921fb, 0x80000278, 0x12d97c, 0x80000163, 0xc90fe, 0x8000009e, 0x6487f, - 0x80000027, - -}; - -/** -* \par -* cosFactor tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre> -* \par -* C command to generate the table -* <pre> -* for(i = 0; i< N; i++) -* { -* cos_factors[i]= 2 * cos((2*i+1)*c/2); -* } </pre> -* \par -* where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code> -* \par -* Then converted to q31 format by multiplying with 2^31 and saturated if required. -*/ - - -static const q31_t cos_factorsQ31_128[128] = { - 0x7fff6216, 0x7ffa72d1, 0x7ff09478, 0x7fe1c76b, 0x7fce0c3e, 0x7fb563b3, - 0x7f97cebd, 0x7f754e80, - 0x7f4de451, 0x7f2191b4, 0x7ef05860, 0x7eba3a39, 0x7e7f3957, 0x7e3f57ff, - 0x7dfa98a8, 0x7db0fdf8, - 0x7d628ac6, 0x7d0f4218, 0x7cb72724, 0x7c5a3d50, 0x7bf88830, 0x7b920b89, - 0x7b26cb4f, 0x7ab6cba4, - 0x7a4210d8, 0x79c89f6e, 0x794a7c12, 0x78c7aba2, 0x78403329, 0x77b417df, - 0x77235f2d, 0x768e0ea6, - 0x75f42c0b, 0x7555bd4c, 0x74b2c884, 0x740b53fb, 0x735f6626, 0x72af05a7, - 0x71fa3949, 0x71410805, - 0x708378ff, 0x6fc19385, 0x6efb5f12, 0x6e30e34a, 0x6d6227fa, 0x6c8f351c, - 0x6bb812d1, 0x6adcc964, - 0x69fd614a, 0x6919e320, 0x683257ab, 0x6746c7d8, 0x66573cbb, 0x6563bf92, - 0x646c59bf, 0x637114cc, - 0x6271fa69, 0x616f146c, 0x60686ccf, 0x5f5e0db3, 0x5e50015d, 0x5d3e5237, - 0x5c290acc, 0x5b1035cf, - 0x59f3de12, 0x58d40e8c, 0x57b0d256, 0x568a34a9, 0x556040e2, 0x5433027d, - 0x53028518, 0x51ced46e, - 0x5097fc5e, 0x4f5e08e3, 0x4e210617, 0x4ce10034, 0x4b9e0390, 0x4a581c9e, - 0x490f57ee, 0x47c3c22f, - 0x46756828, 0x452456bd, 0x43d09aed, 0x427a41d0, 0x4121589b, 0x3fc5ec98, - 0x3e680b2c, 0x3d07c1d6, - 0x3ba51e29, 0x3a402dd2, 0x38d8fe93, 0x376f9e46, 0x36041ad9, 0x34968250, - 0x3326e2c3, 0x31b54a5e, - 0x3041c761, 0x2ecc681e, 0x2d553afc, 0x2bdc4e6f, 0x2a61b101, 0x28e5714b, - 0x27679df4, 0x25e845b6, - 0x24677758, 0x22e541af, 0x2161b3a0, 0x1fdcdc1b, 0x1e56ca1e, 0x1ccf8cb3, - 0x1b4732ef, 0x19bdcbf3, - 0x183366e9, 0x16a81305, 0x151bdf86, 0x138edbb1, 0x120116d5, 0x1072a048, - 0xee38766, 0xd53db92, - 0xbc3ac35, 0xa3308bd, 0x8a2009a, 0x710a345, 0x57f0035, 0x3ed26e6, 0x25b26d7, - 0xc90f88, -}; - -static const q31_t cos_factorsQ31_512[512] = { - 0x7ffff621, 0x7fffa72c, 0x7fff0943, 0x7ffe1c65, 0x7ffce093, 0x7ffb55ce, - 0x7ff97c18, 0x7ff75370, - 0x7ff4dbd9, 0x7ff21553, 0x7feeffe1, 0x7feb9b85, 0x7fe7e841, 0x7fe3e616, - 0x7fdf9508, 0x7fdaf519, - 0x7fd6064c, 0x7fd0c8a3, 0x7fcb3c23, 0x7fc560cf, 0x7fbf36aa, 0x7fb8bdb8, - 0x7fb1f5fc, 0x7faadf7c, - 0x7fa37a3c, 0x7f9bc640, 0x7f93c38c, 0x7f8b7227, 0x7f82d214, 0x7f79e35a, - 0x7f70a5fe, 0x7f671a05, - 0x7f5d3f75, 0x7f531655, 0x7f489eaa, 0x7f3dd87c, 0x7f32c3d1, 0x7f2760af, - 0x7f1baf1e, 0x7f0faf25, - 0x7f0360cb, 0x7ef6c418, 0x7ee9d914, 0x7edc9fc6, 0x7ecf1837, 0x7ec14270, - 0x7eb31e78, 0x7ea4ac58, - 0x7e95ec1a, 0x7e86ddc6, 0x7e778166, 0x7e67d703, 0x7e57dea7, 0x7e47985b, - 0x7e37042a, 0x7e26221f, - 0x7e14f242, 0x7e0374a0, 0x7df1a942, 0x7ddf9034, 0x7dcd2981, 0x7dba7534, - 0x7da77359, 0x7d9423fc, - 0x7d808728, 0x7d6c9ce9, 0x7d58654d, 0x7d43e05e, 0x7d2f0e2b, 0x7d19eebf, - 0x7d048228, 0x7ceec873, - 0x7cd8c1ae, 0x7cc26de5, 0x7cabcd28, 0x7c94df83, 0x7c7da505, 0x7c661dbc, - 0x7c4e49b7, 0x7c362904, - 0x7c1dbbb3, 0x7c0501d2, 0x7bebfb70, 0x7bd2a89e, 0x7bb9096b, 0x7b9f1de6, - 0x7b84e61f, 0x7b6a6227, - 0x7b4f920e, 0x7b3475e5, 0x7b190dbc, 0x7afd59a4, 0x7ae159ae, 0x7ac50dec, - 0x7aa8766f, 0x7a8b9348, - 0x7a6e648a, 0x7a50ea47, 0x7a332490, 0x7a151378, 0x79f6b711, 0x79d80f6f, - 0x79b91ca4, 0x7999dec4, - 0x797a55e0, 0x795a820e, 0x793a6361, 0x7919f9ec, 0x78f945c3, 0x78d846fb, - 0x78b6fda8, 0x789569df, - 0x78738bb3, 0x7851633b, 0x782ef08b, 0x780c33b8, 0x77e92cd9, 0x77c5dc01, - 0x77a24148, 0x777e5cc3, - 0x775a2e89, 0x7735b6af, 0x7710f54c, 0x76ebea77, 0x76c69647, 0x76a0f8d2, - 0x767b1231, 0x7654e279, - 0x762e69c4, 0x7607a828, 0x75e09dbd, 0x75b94a9c, 0x7591aedd, 0x7569ca99, - 0x75419de7, 0x751928e0, - 0x74f06b9e, 0x74c7663a, 0x749e18cd, 0x74748371, 0x744aa63f, 0x74208150, - 0x73f614c0, 0x73cb60a8, - 0x73a06522, 0x73752249, 0x73499838, 0x731dc70a, 0x72f1aed9, 0x72c54fc1, - 0x7298a9dd, 0x726bbd48, - 0x723e8a20, 0x7211107e, 0x71e35080, 0x71b54a41, 0x7186fdde, 0x71586b74, - 0x7129931f, 0x70fa74fc, - 0x70cb1128, 0x709b67c0, 0x706b78e3, 0x703b44ad, 0x700acb3c, 0x6fda0cae, - 0x6fa90921, 0x6f77c0b3, - 0x6f463383, 0x6f1461b0, 0x6ee24b57, 0x6eaff099, 0x6e7d5193, 0x6e4a6e66, - 0x6e174730, 0x6de3dc11, - 0x6db02d29, 0x6d7c3a98, 0x6d48047e, 0x6d138afb, 0x6cdece2f, 0x6ca9ce3b, - 0x6c748b3f, 0x6c3f055d, - 0x6c093cb6, 0x6bd3316a, 0x6b9ce39b, 0x6b66536b, 0x6b2f80fb, 0x6af86c6c, - 0x6ac115e2, 0x6a897d7d, - 0x6a51a361, 0x6a1987b0, 0x69e12a8c, 0x69a88c19, 0x696fac78, 0x69368bce, - 0x68fd2a3d, 0x68c387e9, - 0x6889a4f6, 0x684f8186, 0x68151dbe, 0x67da79c3, 0x679f95b7, 0x676471c0, - 0x67290e02, 0x66ed6aa1, - 0x66b187c3, 0x6675658c, 0x66390422, 0x65fc63a9, 0x65bf8447, 0x65826622, - 0x6545095f, 0x65076e25, - 0x64c99498, 0x648b7ce0, 0x644d2722, 0x640e9386, 0x63cfc231, 0x6390b34a, - 0x635166f9, 0x6311dd64, - 0x62d216b3, 0x6292130c, 0x6251d298, 0x6211557e, 0x61d09be5, 0x618fa5f7, - 0x614e73da, 0x610d05b7, - 0x60cb5bb7, 0x60897601, 0x604754bf, 0x6004f819, 0x5fc26038, 0x5f7f8d46, - 0x5f3c7f6b, 0x5ef936d1, - 0x5eb5b3a2, 0x5e71f606, 0x5e2dfe29, 0x5de9cc33, 0x5da5604f, 0x5d60baa7, - 0x5d1bdb65, 0x5cd6c2b5, - 0x5c9170bf, 0x5c4be5b0, 0x5c0621b2, 0x5bc024f0, 0x5b79ef96, 0x5b3381ce, - 0x5aecdbc5, 0x5aa5fda5, - 0x5a5ee79a, 0x5a1799d1, 0x59d01475, 0x598857b2, 0x594063b5, 0x58f838a9, - 0x58afd6bd, 0x58673e1b, - 0x581e6ef1, 0x57d5696d, 0x578c2dba, 0x5742bc06, 0x56f9147e, 0x56af3750, - 0x566524aa, 0x561adcb9, - 0x55d05faa, 0x5585adad, 0x553ac6ee, 0x54efab9c, 0x54a45be6, 0x5458d7f9, - 0x540d2005, 0x53c13439, - 0x537514c2, 0x5328c1d0, 0x52dc3b92, 0x528f8238, 0x524295f0, 0x51f576ea, - 0x51a82555, 0x515aa162, - 0x510ceb40, 0x50bf031f, 0x5070e92f, 0x50229da1, 0x4fd420a4, 0x4f857269, - 0x4f369320, 0x4ee782fb, - 0x4e984229, 0x4e48d0dd, 0x4df92f46, 0x4da95d96, 0x4d595bfe, 0x4d092ab0, - 0x4cb8c9dd, 0x4c6839b7, - 0x4c177a6e, 0x4bc68c36, 0x4b756f40, 0x4b2423be, 0x4ad2a9e2, 0x4a8101de, - 0x4a2f2be6, 0x49dd282a, - 0x498af6df, 0x49389836, 0x48e60c62, 0x48935397, 0x48406e08, 0x47ed5be6, - 0x479a1d67, 0x4746b2bc, - 0x46f31c1a, 0x469f59b4, 0x464b6bbe, 0x45f7526b, 0x45a30df0, 0x454e9e80, - 0x44fa0450, 0x44a53f93, - 0x4450507e, 0x43fb3746, 0x43a5f41e, 0x4350873c, 0x42faf0d4, 0x42a5311b, - 0x424f4845, 0x41f93689, - 0x41a2fc1a, 0x414c992f, 0x40f60dfb, 0x409f5ab6, 0x40487f94, 0x3ff17cca, - 0x3f9a5290, 0x3f430119, - 0x3eeb889c, 0x3e93e950, 0x3e3c2369, 0x3de4371f, 0x3d8c24a8, 0x3d33ec39, - 0x3cdb8e09, 0x3c830a50, - 0x3c2a6142, 0x3bd19318, 0x3b78a007, 0x3b1f8848, 0x3ac64c0f, 0x3a6ceb96, - 0x3a136712, 0x39b9bebc, - 0x395ff2c9, 0x39060373, 0x38abf0ef, 0x3851bb77, 0x37f76341, 0x379ce885, - 0x37424b7b, 0x36e78c5b, - 0x368cab5c, 0x3631a8b8, 0x35d684a6, 0x357b3f5d, 0x351fd918, 0x34c4520d, - 0x3468aa76, 0x340ce28b, - 0x33b0fa84, 0x3354f29b, 0x32f8cb07, 0x329c8402, 0x32401dc6, 0x31e39889, - 0x3186f487, 0x312a31f8, - 0x30cd5115, 0x30705217, 0x30133539, 0x2fb5fab2, 0x2f58a2be, 0x2efb2d95, - 0x2e9d9b70, 0x2e3fec8b, - 0x2de2211e, 0x2d843964, 0x2d263596, 0x2cc815ee, 0x2c69daa6, 0x2c0b83fa, - 0x2bad1221, 0x2b4e8558, - 0x2aefddd8, 0x2a911bdc, 0x2a323f9e, 0x29d34958, 0x29743946, 0x29150fa1, - 0x28b5cca5, 0x2856708d, - 0x27f6fb92, 0x27976df1, 0x2737c7e3, 0x26d809a5, 0x26783370, 0x26184581, - 0x25b84012, 0x2558235f, - 0x24f7efa2, 0x2497a517, 0x243743fa, 0x23d6cc87, 0x23763ef7, 0x23159b88, - 0x22b4e274, 0x225413f8, - 0x21f3304f, 0x219237b5, 0x21312a65, 0x20d0089c, 0x206ed295, 0x200d888d, - 0x1fac2abf, 0x1f4ab968, - 0x1ee934c3, 0x1e879d0d, 0x1e25f282, 0x1dc4355e, 0x1d6265dd, 0x1d00843d, - 0x1c9e90b8, 0x1c3c8b8c, - 0x1bda74f6, 0x1b784d30, 0x1b161479, 0x1ab3cb0d, 0x1a517128, 0x19ef0707, - 0x198c8ce7, 0x192a0304, - 0x18c7699b, 0x1864c0ea, 0x1802092c, 0x179f429f, 0x173c6d80, 0x16d98a0c, - 0x1676987f, 0x16139918, - 0x15b08c12, 0x154d71aa, 0x14ea4a1f, 0x148715ae, 0x1423d492, 0x13c0870a, - 0x135d2d53, 0x12f9c7aa, - 0x1296564d, 0x1232d979, 0x11cf516a, 0x116bbe60, 0x11082096, 0x10a4784b, - 0x1040c5bb, 0xfdd0926, - 0xf7942c7, 0xf1572dc, 0xeb199a4, 0xe4db75b, 0xde9cc40, 0xd85d88f, 0xd21dc87, - 0xcbdd865, - 0xc59cc68, 0xbf5b8cb, 0xb919dcf, 0xb2d7baf, 0xac952aa, 0xa6522fe, 0xa00ece8, - 0x99cb0a7, - 0x9386e78, 0x8d42699, 0x86fd947, 0x80b86c2, 0x7a72f45, 0x742d311, 0x6de7262, - 0x67a0d76, - 0x615a48b, 0x5b137df, 0x54cc7b1, 0x4e8543e, 0x483ddc3, 0x41f6480, 0x3bae8b2, - 0x3566a96, - 0x2f1ea6c, 0x28d6870, 0x228e4e2, 0x1c45ffe, 0x15fda03, 0xfb5330, 0x96cbc1, - 0x3243f5, -}; - -static const q31_t cos_factorsQ31_2048[2048] = { - 0x7fffff62, 0x7ffffa73, 0x7ffff094, 0x7fffe1c6, 0x7fffce09, 0x7fffb55c, - 0x7fff97c1, 0x7fff7536, - 0x7fff4dbb, 0x7fff2151, 0x7ffeeff8, 0x7ffeb9b0, 0x7ffe7e79, 0x7ffe3e52, - 0x7ffdf93c, 0x7ffdaf37, - 0x7ffd6042, 0x7ffd0c5f, 0x7ffcb38c, 0x7ffc55ca, 0x7ffbf319, 0x7ffb8b78, - 0x7ffb1ee9, 0x7ffaad6a, - 0x7ffa36fc, 0x7ff9bba0, 0x7ff93b54, 0x7ff8b619, 0x7ff82bef, 0x7ff79cd6, - 0x7ff708ce, 0x7ff66fd7, - 0x7ff5d1f1, 0x7ff52f1d, 0x7ff48759, 0x7ff3daa6, 0x7ff32905, 0x7ff27275, - 0x7ff1b6f6, 0x7ff0f688, - 0x7ff0312c, 0x7fef66e1, 0x7fee97a7, 0x7fedc37e, 0x7fecea67, 0x7fec0c62, - 0x7feb296d, 0x7fea418b, - 0x7fe954ba, 0x7fe862fa, 0x7fe76c4c, 0x7fe670b0, 0x7fe57025, 0x7fe46aac, - 0x7fe36045, 0x7fe250ef, - 0x7fe13cac, 0x7fe0237a, 0x7fdf055a, 0x7fdde24d, 0x7fdcba51, 0x7fdb8d67, - 0x7fda5b8f, 0x7fd924ca, - 0x7fd7e917, 0x7fd6a875, 0x7fd562e7, 0x7fd4186a, 0x7fd2c900, 0x7fd174a8, - 0x7fd01b63, 0x7fcebd31, - 0x7fcd5a11, 0x7fcbf203, 0x7fca8508, 0x7fc91320, 0x7fc79c4b, 0x7fc62089, - 0x7fc49fda, 0x7fc31a3d, - 0x7fc18fb4, 0x7fc0003e, 0x7fbe6bdb, 0x7fbcd28b, 0x7fbb344e, 0x7fb99125, - 0x7fb7e90f, 0x7fb63c0d, - 0x7fb48a1e, 0x7fb2d343, 0x7fb1177b, 0x7faf56c7, 0x7fad9127, 0x7fabc69b, - 0x7fa9f723, 0x7fa822bf, - 0x7fa6496e, 0x7fa46b32, 0x7fa2880b, 0x7fa09ff7, 0x7f9eb2f8, 0x7f9cc10d, - 0x7f9aca37, 0x7f98ce76, - 0x7f96cdc9, 0x7f94c831, 0x7f92bdad, 0x7f90ae3f, 0x7f8e99e6, 0x7f8c80a1, - 0x7f8a6272, 0x7f883f58, - 0x7f861753, 0x7f83ea64, 0x7f81b88a, 0x7f7f81c6, 0x7f7d4617, 0x7f7b057e, - 0x7f78bffb, 0x7f76758e, - 0x7f742637, 0x7f71d1f6, 0x7f6f78cb, 0x7f6d1ab6, 0x7f6ab7b8, 0x7f684fd0, - 0x7f65e2ff, 0x7f637144, - 0x7f60faa0, 0x7f5e7f13, 0x7f5bfe9d, 0x7f59793e, 0x7f56eef5, 0x7f545fc5, - 0x7f51cbab, 0x7f4f32a9, - 0x7f4c94be, 0x7f49f1eb, 0x7f474a30, 0x7f449d8c, 0x7f41ec01, 0x7f3f358d, - 0x7f3c7a31, 0x7f39b9ee, - 0x7f36f4c3, 0x7f342ab1, 0x7f315bb7, 0x7f2e87d6, 0x7f2baf0d, 0x7f28d15d, - 0x7f25eec7, 0x7f230749, - 0x7f201ae5, 0x7f1d299a, 0x7f1a3368, 0x7f173850, 0x7f143852, 0x7f11336d, - 0x7f0e29a3, 0x7f0b1af2, - 0x7f08075c, 0x7f04eedf, 0x7f01d17d, 0x7efeaf36, 0x7efb8809, 0x7ef85bf7, - 0x7ef52b00, 0x7ef1f524, - 0x7eeeba62, 0x7eeb7abc, 0x7ee83632, 0x7ee4ecc3, 0x7ee19e6f, 0x7ede4b38, - 0x7edaf31c, 0x7ed7961c, - 0x7ed43438, 0x7ed0cd70, 0x7ecd61c5, 0x7ec9f137, 0x7ec67bc5, 0x7ec3016f, - 0x7ebf8237, 0x7ebbfe1c, - 0x7eb8751e, 0x7eb4e73d, 0x7eb1547a, 0x7eadbcd4, 0x7eaa204c, 0x7ea67ee2, - 0x7ea2d896, 0x7e9f2d68, - 0x7e9b7d58, 0x7e97c867, 0x7e940e94, 0x7e904fe0, 0x7e8c8c4b, 0x7e88c3d5, - 0x7e84f67e, 0x7e812447, - 0x7e7d4d2f, 0x7e797136, 0x7e75905d, 0x7e71aaa4, 0x7e6dc00c, 0x7e69d093, - 0x7e65dc3b, 0x7e61e303, - 0x7e5de4ec, 0x7e59e1f5, 0x7e55da20, 0x7e51cd6c, 0x7e4dbbd9, 0x7e49a567, - 0x7e458a17, 0x7e4169e9, - 0x7e3d44dd, 0x7e391af3, 0x7e34ec2b, 0x7e30b885, 0x7e2c8002, 0x7e2842a2, - 0x7e240064, 0x7e1fb94a, - 0x7e1b6d53, 0x7e171c7f, 0x7e12c6ce, 0x7e0e6c42, 0x7e0a0cd9, 0x7e05a894, - 0x7e013f74, 0x7dfcd178, - 0x7df85ea0, 0x7df3e6ee, 0x7def6a60, 0x7deae8f7, 0x7de662b3, 0x7de1d795, - 0x7ddd479d, 0x7dd8b2ca, - 0x7dd4191d, 0x7dcf7a96, 0x7dcad736, 0x7dc62efc, 0x7dc181e8, 0x7dbccffc, - 0x7db81936, 0x7db35d98, - 0x7dae9d21, 0x7da9d7d2, 0x7da50dab, 0x7da03eab, 0x7d9b6ad3, 0x7d969224, - 0x7d91b49e, 0x7d8cd240, - 0x7d87eb0a, 0x7d82fefe, 0x7d7e0e1c, 0x7d791862, 0x7d741dd2, 0x7d6f1e6c, - 0x7d6a1a31, 0x7d65111f, - 0x7d600338, 0x7d5af07b, 0x7d55d8e9, 0x7d50bc82, 0x7d4b9b46, 0x7d467536, - 0x7d414a51, 0x7d3c1a98, - 0x7d36e60b, 0x7d31acaa, 0x7d2c6e76, 0x7d272b6e, 0x7d21e393, 0x7d1c96e5, - 0x7d174564, 0x7d11ef11, - 0x7d0c93eb, 0x7d0733f3, 0x7d01cf29, 0x7cfc658d, 0x7cf6f720, 0x7cf183e1, - 0x7cec0bd1, 0x7ce68ef0, - 0x7ce10d3f, 0x7cdb86bd, 0x7cd5fb6a, 0x7cd06b48, 0x7ccad656, 0x7cc53c94, - 0x7cbf9e03, 0x7cb9faa2, - 0x7cb45272, 0x7caea574, 0x7ca8f3a7, 0x7ca33d0c, 0x7c9d81a3, 0x7c97c16b, - 0x7c91fc66, 0x7c8c3294, - 0x7c8663f4, 0x7c809088, 0x7c7ab84e, 0x7c74db48, 0x7c6ef976, 0x7c6912d7, - 0x7c63276d, 0x7c5d3737, - 0x7c574236, 0x7c514869, 0x7c4b49d2, 0x7c45466f, 0x7c3f3e42, 0x7c39314b, - 0x7c331f8a, 0x7c2d08ff, - 0x7c26edab, 0x7c20cd8d, 0x7c1aa8a6, 0x7c147ef6, 0x7c0e507e, 0x7c081d3d, - 0x7c01e534, 0x7bfba863, - 0x7bf566cb, 0x7bef206b, 0x7be8d544, 0x7be28556, 0x7bdc30a1, 0x7bd5d726, - 0x7bcf78e5, 0x7bc915dd, - 0x7bc2ae10, 0x7bbc417e, 0x7bb5d026, 0x7baf5a09, 0x7ba8df28, 0x7ba25f82, - 0x7b9bdb18, 0x7b9551ea, - 0x7b8ec3f8, 0x7b883143, 0x7b8199ca, 0x7b7afd8f, 0x7b745c91, 0x7b6db6d0, - 0x7b670c4d, 0x7b605d09, - 0x7b59a902, 0x7b52f03a, 0x7b4c32b1, 0x7b457068, 0x7b3ea95d, 0x7b37dd92, - 0x7b310d07, 0x7b2a37bc, - 0x7b235db2, 0x7b1c7ee8, 0x7b159b5f, 0x7b0eb318, 0x7b07c612, 0x7b00d44d, - 0x7af9ddcb, 0x7af2e28b, - 0x7aebe28d, 0x7ae4ddd2, 0x7addd45b, 0x7ad6c626, 0x7acfb336, 0x7ac89b89, - 0x7ac17f20, 0x7aba5dfc, - 0x7ab3381d, 0x7aac0d82, 0x7aa4de2d, 0x7a9daa1d, 0x7a967153, 0x7a8f33d0, - 0x7a87f192, 0x7a80aa9c, - 0x7a795eec, 0x7a720e84, 0x7a6ab963, 0x7a635f8a, 0x7a5c00f9, 0x7a549db0, - 0x7a4d35b0, 0x7a45c8f9, - 0x7a3e578b, 0x7a36e166, 0x7a2f668c, 0x7a27e6fb, 0x7a2062b5, 0x7a18d9b9, - 0x7a114c09, 0x7a09b9a4, - 0x7a02228a, 0x79fa86bc, 0x79f2e63a, 0x79eb4105, 0x79e3971c, 0x79dbe880, - 0x79d43532, 0x79cc7d31, - 0x79c4c07e, 0x79bcff19, 0x79b53903, 0x79ad6e3c, 0x79a59ec3, 0x799dca9a, - 0x7995f1c1, 0x798e1438, - 0x798631ff, 0x797e4b16, 0x79765f7f, 0x796e6f39, 0x79667a44, 0x795e80a1, - 0x79568250, 0x794e7f52, - 0x794677a6, 0x793e6b4e, 0x79365a49, 0x792e4497, 0x79262a3a, 0x791e0b31, - 0x7915e77c, 0x790dbf1d, - 0x79059212, 0x78fd605d, 0x78f529fe, 0x78eceef6, 0x78e4af44, 0x78dc6ae8, - 0x78d421e4, 0x78cbd437, - 0x78c381e2, 0x78bb2ae5, 0x78b2cf41, 0x78aa6ef5, 0x78a20a03, 0x7899a06a, - 0x7891322a, 0x7888bf45, - 0x788047ba, 0x7877cb89, 0x786f4ab4, 0x7866c53a, 0x785e3b1c, 0x7855ac5a, - 0x784d18f4, 0x784480ea, - 0x783be43e, 0x783342ef, 0x782a9cfe, 0x7821f26b, 0x78194336, 0x78108f60, - 0x7807d6e9, 0x77ff19d1, - 0x77f65819, 0x77ed91c0, 0x77e4c6c9, 0x77dbf732, 0x77d322fc, 0x77ca4a27, - 0x77c16cb4, 0x77b88aa3, - 0x77afa3f5, 0x77a6b8a9, 0x779dc8c0, 0x7794d43b, 0x778bdb19, 0x7782dd5c, - 0x7779db03, 0x7770d40f, - 0x7767c880, 0x775eb857, 0x7755a394, 0x774c8a36, 0x77436c40, 0x773a49b0, - 0x77312287, 0x7727f6c6, - 0x771ec66e, 0x7715917d, 0x770c57f5, 0x770319d6, 0x76f9d721, 0x76f08fd5, - 0x76e743f4, 0x76ddf37c, - 0x76d49e70, 0x76cb44cf, 0x76c1e699, 0x76b883d0, 0x76af1c72, 0x76a5b082, - 0x769c3ffe, 0x7692cae8, - 0x7689513f, 0x767fd304, 0x76765038, 0x766cc8db, 0x76633ced, 0x7659ac6f, - 0x76501760, 0x76467dc2, - 0x763cdf94, 0x76333cd8, 0x7629958c, 0x761fe9b3, 0x7616394c, 0x760c8457, - 0x7602cad5, 0x75f90cc7, - 0x75ef4a2c, 0x75e58305, 0x75dbb753, 0x75d1e715, 0x75c8124d, 0x75be38fa, - 0x75b45b1d, 0x75aa78b6, - 0x75a091c6, 0x7596a64d, 0x758cb64c, 0x7582c1c2, 0x7578c8b0, 0x756ecb18, - 0x7564c8f8, 0x755ac251, - 0x7550b725, 0x7546a772, 0x753c933a, 0x75327a7d, 0x75285d3b, 0x751e3b75, - 0x7514152b, 0x7509ea5d, - 0x74ffbb0d, 0x74f58739, 0x74eb4ee3, 0x74e1120c, 0x74d6d0b2, 0x74cc8ad8, - 0x74c2407d, 0x74b7f1a1, - 0x74ad9e46, 0x74a3466b, 0x7498ea11, 0x748e8938, 0x748423e0, 0x7479ba0b, - 0x746f4bb8, 0x7464d8e8, - 0x745a619b, 0x744fe5d2, 0x7445658d, 0x743ae0cc, 0x74305790, 0x7425c9da, - 0x741b37a9, 0x7410a0fe, - 0x740605d9, 0x73fb663c, 0x73f0c226, 0x73e61997, 0x73db6c91, 0x73d0bb13, - 0x73c6051f, 0x73bb4ab3, - 0x73b08bd1, 0x73a5c87a, 0x739b00ad, 0x7390346b, 0x738563b5, 0x737a8e8a, - 0x736fb4ec, 0x7364d6da, - 0x7359f456, 0x734f0d5f, 0x734421f6, 0x7339321b, 0x732e3dcf, 0x73234512, - 0x731847e5, 0x730d4648, - 0x7302403c, 0x72f735c0, 0x72ec26d6, 0x72e1137d, 0x72d5fbb7, 0x72cadf83, - 0x72bfbee3, 0x72b499d6, - 0x72a9705c, 0x729e4277, 0x72931027, 0x7287d96c, 0x727c9e47, 0x72715eb8, - 0x72661abf, 0x725ad25d, - 0x724f8593, 0x72443460, 0x7238dec5, 0x722d84c4, 0x7222265b, 0x7216c38c, - 0x720b5c57, 0x71fff0bc, - 0x71f480bc, 0x71e90c57, 0x71dd938f, 0x71d21662, 0x71c694d2, 0x71bb0edf, - 0x71af848a, 0x71a3f5d2, - 0x719862b9, 0x718ccb3f, 0x71812f65, 0x71758f29, 0x7169ea8f, 0x715e4194, - 0x7152943b, 0x7146e284, - 0x713b2c6e, 0x712f71fb, 0x7123b32b, 0x7117effe, 0x710c2875, 0x71005c90, - 0x70f48c50, 0x70e8b7b5, - 0x70dcdec0, 0x70d10171, 0x70c51fc8, 0x70b939c7, 0x70ad4f6d, 0x70a160ba, - 0x70956db1, 0x70897650, - 0x707d7a98, 0x70717a8a, 0x70657626, 0x70596d6d, 0x704d6060, 0x70414efd, - 0x70353947, 0x70291f3e, - 0x701d00e1, 0x7010de32, 0x7004b731, 0x6ff88bde, 0x6fec5c3b, 0x6fe02846, - 0x6fd3f001, 0x6fc7b36d, - 0x6fbb728a, 0x6faf2d57, 0x6fa2e3d7, 0x6f969608, 0x6f8a43ed, 0x6f7ded84, - 0x6f7192cf, 0x6f6533ce, - 0x6f58d082, 0x6f4c68eb, 0x6f3ffd09, 0x6f338cde, 0x6f271868, 0x6f1a9faa, - 0x6f0e22a3, 0x6f01a155, - 0x6ef51bbe, 0x6ee891e1, 0x6edc03bc, 0x6ecf7152, 0x6ec2daa2, 0x6eb63fad, - 0x6ea9a073, 0x6e9cfcf5, - 0x6e905534, 0x6e83a92f, 0x6e76f8e7, 0x6e6a445d, 0x6e5d8b91, 0x6e50ce84, - 0x6e440d37, 0x6e3747a9, - 0x6e2a7ddb, 0x6e1dafce, 0x6e10dd82, 0x6e0406f8, 0x6df72c30, 0x6dea4d2b, - 0x6ddd69e9, 0x6dd0826a, - 0x6dc396b0, 0x6db6a6ba, 0x6da9b28a, 0x6d9cba1f, 0x6d8fbd7a, 0x6d82bc9d, - 0x6d75b786, 0x6d68ae37, - 0x6d5ba0b0, 0x6d4e8ef2, 0x6d4178fd, 0x6d345ed1, 0x6d274070, 0x6d1a1dda, - 0x6d0cf70f, 0x6cffcc0f, - 0x6cf29cdc, 0x6ce56975, 0x6cd831dc, 0x6ccaf610, 0x6cbdb613, 0x6cb071e4, - 0x6ca32985, 0x6c95dcf6, - 0x6c888c36, 0x6c7b3748, 0x6c6dde2b, 0x6c6080e0, 0x6c531f67, 0x6c45b9c1, - 0x6c384fef, 0x6c2ae1f0, - 0x6c1d6fc6, 0x6c0ff971, 0x6c027ef1, 0x6bf50047, 0x6be77d74, 0x6bd9f677, - 0x6bcc6b53, 0x6bbedc06, - 0x6bb14892, 0x6ba3b0f7, 0x6b961536, 0x6b88754f, 0x6b7ad142, 0x6b6d2911, - 0x6b5f7cbc, 0x6b51cc42, - 0x6b4417a6, 0x6b365ee7, 0x6b28a206, 0x6b1ae103, 0x6b0d1bdf, 0x6aff529a, - 0x6af18536, 0x6ae3b3b2, - 0x6ad5de0f, 0x6ac8044e, 0x6aba266e, 0x6aac4472, 0x6a9e5e58, 0x6a907423, - 0x6a8285d1, 0x6a749365, - 0x6a669cdd, 0x6a58a23c, 0x6a4aa381, 0x6a3ca0ad, 0x6a2e99c0, 0x6a208ebb, - 0x6a127f9f, 0x6a046c6c, - 0x69f65523, 0x69e839c4, 0x69da1a50, 0x69cbf6c7, 0x69bdcf29, 0x69afa378, - 0x69a173b5, 0x69933fde, - 0x698507f6, 0x6976cbfc, 0x69688bf1, 0x695a47d6, 0x694bffab, 0x693db371, - 0x692f6328, 0x69210ed1, - 0x6912b66c, 0x690459fb, 0x68f5f97d, 0x68e794f3, 0x68d92c5d, 0x68cabfbd, - 0x68bc4f13, 0x68adda5f, - 0x689f61a1, 0x6890e4dc, 0x6882640e, 0x6873df38, 0x6865565c, 0x6856c979, - 0x68483891, 0x6839a3a4, - 0x682b0ab1, 0x681c6dbb, 0x680dccc1, 0x67ff27c4, 0x67f07ec5, 0x67e1d1c4, - 0x67d320c1, 0x67c46bbe, - 0x67b5b2bb, 0x67a6f5b8, 0x679834b6, 0x67896fb6, 0x677aa6b8, 0x676bd9bd, - 0x675d08c4, 0x674e33d0, - 0x673f5ae0, 0x67307df5, 0x67219d10, 0x6712b831, 0x6703cf58, 0x66f4e287, - 0x66e5f1be, 0x66d6fcfd, - 0x66c80445, 0x66b90797, 0x66aa06f3, 0x669b0259, 0x668bf9cb, 0x667ced49, - 0x666ddcd3, 0x665ec86b, - 0x664fb010, 0x664093c3, 0x66317385, 0x66224f56, 0x66132738, 0x6603fb2a, - 0x65f4cb2d, 0x65e59742, - 0x65d65f69, 0x65c723a3, 0x65b7e3f1, 0x65a8a052, 0x659958c9, 0x658a0d54, - 0x657abdf6, 0x656b6aae, - 0x655c137d, 0x654cb863, 0x653d5962, 0x652df679, 0x651e8faa, 0x650f24f5, - 0x64ffb65b, 0x64f043dc, - 0x64e0cd78, 0x64d15331, 0x64c1d507, 0x64b252fa, 0x64a2cd0c, 0x6493433c, - 0x6483b58c, 0x647423fb, - 0x64648e8c, 0x6454f53d, 0x64455810, 0x6435b706, 0x6426121e, 0x6416695a, - 0x6406bcba, 0x63f70c3f, - 0x63e757ea, 0x63d79fba, 0x63c7e3b1, 0x63b823cf, 0x63a86015, 0x63989884, - 0x6388cd1b, 0x6378fddc, - 0x63692ac7, 0x635953dd, 0x6349791f, 0x63399a8d, 0x6329b827, 0x6319d1ef, - 0x6309e7e4, 0x62f9fa09, - 0x62ea085c, 0x62da12df, 0x62ca1992, 0x62ba1c77, 0x62aa1b8d, 0x629a16d5, - 0x628a0e50, 0x627a01fe, - 0x6269f1e1, 0x6259ddf8, 0x6249c645, 0x6239aac7, 0x62298b81, 0x62196871, - 0x62094199, 0x61f916f9, - 0x61e8e893, 0x61d8b666, 0x61c88074, 0x61b846bc, 0x61a80940, 0x6197c800, - 0x618782fd, 0x61773a37, - 0x6166edb0, 0x61569d67, 0x6146495d, 0x6135f193, 0x6125960a, 0x611536c2, - 0x6104d3bc, 0x60f46cf9, - 0x60e40278, 0x60d3943b, 0x60c32243, 0x60b2ac8f, 0x60a23322, 0x6091b5fa, - 0x60813519, 0x6070b080, - 0x6060282f, 0x604f9c27, 0x603f0c69, 0x602e78f4, 0x601de1ca, 0x600d46ec, - 0x5ffca859, 0x5fec0613, - 0x5fdb601b, 0x5fcab670, 0x5fba0914, 0x5fa95807, 0x5f98a34a, 0x5f87eade, - 0x5f772ec2, 0x5f666ef9, - 0x5f55ab82, 0x5f44e45e, 0x5f34198e, 0x5f234b12, 0x5f1278eb, 0x5f01a31a, - 0x5ef0c99f, 0x5edfec7b, - 0x5ecf0baf, 0x5ebe273b, 0x5ead3f1f, 0x5e9c535e, 0x5e8b63f7, 0x5e7a70ea, - 0x5e697a39, 0x5e587fe5, - 0x5e4781ed, 0x5e368053, 0x5e257b17, 0x5e147239, 0x5e0365bb, 0x5df2559e, - 0x5de141e1, 0x5dd02a85, - 0x5dbf0f8c, 0x5dadf0f5, 0x5d9ccec2, 0x5d8ba8f3, 0x5d7a7f88, 0x5d695283, - 0x5d5821e4, 0x5d46edac, - 0x5d35b5db, 0x5d247a72, 0x5d133b72, 0x5d01f8dc, 0x5cf0b2af, 0x5cdf68ed, - 0x5cce1b97, 0x5cbccaac, - 0x5cab762f, 0x5c9a1e1e, 0x5c88c27c, 0x5c776348, 0x5c660084, 0x5c549a30, - 0x5c43304d, 0x5c31c2db, - 0x5c2051db, 0x5c0edd4e, 0x5bfd6534, 0x5bebe98e, 0x5bda6a5d, 0x5bc8e7a2, - 0x5bb7615d, 0x5ba5d78e, - 0x5b944a37, 0x5b82b958, 0x5b7124f2, 0x5b5f8d06, 0x5b4df193, 0x5b3c529c, - 0x5b2ab020, 0x5b190a20, - 0x5b07609d, 0x5af5b398, 0x5ae40311, 0x5ad24f09, 0x5ac09781, 0x5aaedc78, - 0x5a9d1df1, 0x5a8b5bec, - 0x5a799669, 0x5a67cd69, 0x5a5600ec, 0x5a4430f5, 0x5a325d82, 0x5a208695, - 0x5a0eac2e, 0x59fcce4f, - 0x59eaecf8, 0x59d90829, 0x59c71fe3, 0x59b53427, 0x59a344f6, 0x59915250, - 0x597f5c36, 0x596d62a9, - 0x595b65aa, 0x59496538, 0x59376155, 0x59255a02, 0x59134f3e, 0x5901410c, - 0x58ef2f6b, 0x58dd1a5d, - 0x58cb01e1, 0x58b8e5f9, 0x58a6c6a5, 0x5894a3e7, 0x58827dbe, 0x5870542c, - 0x585e2730, 0x584bf6cd, - 0x5839c302, 0x58278bd1, 0x58155139, 0x5803133c, 0x57f0d1da, 0x57de8d15, - 0x57cc44ec, 0x57b9f960, - 0x57a7aa73, 0x57955825, 0x57830276, 0x5770a968, 0x575e4cfa, 0x574bed2f, - 0x57398a05, 0x5727237f, - 0x5714b99d, 0x57024c5f, 0x56efdbc7, 0x56dd67d4, 0x56caf088, 0x56b875e4, - 0x56a5f7e7, 0x56937694, - 0x5680f1ea, 0x566e69ea, 0x565bde95, 0x56494fec, 0x5636bdef, 0x5624289f, - 0x56118ffe, 0x55fef40a, - 0x55ec54c6, 0x55d9b232, 0x55c70c4f, 0x55b4631d, 0x55a1b69d, 0x558f06d0, - 0x557c53b6, 0x55699d51, - 0x5556e3a1, 0x554426a7, 0x55316663, 0x551ea2d6, 0x550bdc01, 0x54f911e5, - 0x54e64482, 0x54d373d9, - 0x54c09feb, 0x54adc8b8, 0x549aee42, 0x54881089, 0x54752f8d, 0x54624b50, - 0x544f63d2, 0x543c7914, - 0x54298b17, 0x541699db, 0x5403a561, 0x53f0adaa, 0x53ddb2b6, 0x53cab486, - 0x53b7b31c, 0x53a4ae77, - 0x5391a699, 0x537e9b82, 0x536b8d33, 0x53587bad, 0x534566f0, 0x53324efd, - 0x531f33d5, 0x530c1579, - 0x52f8f3e9, 0x52e5cf27, 0x52d2a732, 0x52bf7c0b, 0x52ac4db4, 0x52991c2d, - 0x5285e777, 0x5272af92, - 0x525f7480, 0x524c3640, 0x5238f4d4, 0x5225b03d, 0x5212687b, 0x51ff1d8f, - 0x51ebcf7a, 0x51d87e3c, - 0x51c529d7, 0x51b1d24a, 0x519e7797, 0x518b19bf, 0x5177b8c2, 0x516454a0, - 0x5150ed5c, 0x513d82f4, - 0x512a156b, 0x5116a4c1, 0x510330f7, 0x50efba0d, 0x50dc4005, 0x50c8c2de, - 0x50b5429a, 0x50a1bf39, - 0x508e38bd, 0x507aaf25, 0x50672273, 0x505392a8, 0x503fffc4, 0x502c69c8, - 0x5018d0b4, 0x5005348a, - 0x4ff1954b, 0x4fddf2f6, 0x4fca4d8d, 0x4fb6a510, 0x4fa2f981, 0x4f8f4ae0, - 0x4f7b992d, 0x4f67e46a, - 0x4f542c98, 0x4f4071b6, 0x4f2cb3c7, 0x4f18f2c9, 0x4f052ec0, 0x4ef167aa, - 0x4edd9d89, 0x4ec9d05e, - 0x4eb60029, 0x4ea22ceb, 0x4e8e56a5, 0x4e7a7d58, 0x4e66a105, 0x4e52c1ab, - 0x4e3edf4d, 0x4e2af9ea, - 0x4e171184, 0x4e03261b, 0x4def37b0, 0x4ddb4644, 0x4dc751d8, 0x4db35a6c, - 0x4d9f6001, 0x4d8b6298, - 0x4d776231, 0x4d635ece, 0x4d4f5870, 0x4d3b4f16, 0x4d2742c2, 0x4d133374, - 0x4cff212e, 0x4ceb0bf0, - 0x4cd6f3bb, 0x4cc2d88f, 0x4caeba6e, 0x4c9a9958, 0x4c86754e, 0x4c724e50, - 0x4c5e2460, 0x4c49f77f, - 0x4c35c7ac, 0x4c2194e9, 0x4c0d5f37, 0x4bf92697, 0x4be4eb08, 0x4bd0ac8d, - 0x4bbc6b25, 0x4ba826d1, - 0x4b93df93, 0x4b7f956b, 0x4b6b485a, 0x4b56f861, 0x4b42a580, 0x4b2e4fb8, - 0x4b19f70a, 0x4b059b77, - 0x4af13d00, 0x4adcdba5, 0x4ac87767, 0x4ab41046, 0x4a9fa645, 0x4a8b3963, - 0x4a76c9a2, 0x4a625701, - 0x4a4de182, 0x4a396926, 0x4a24edee, 0x4a106fda, 0x49fbeeea, 0x49e76b21, - 0x49d2e47e, 0x49be5b02, - 0x49a9ceaf, 0x49953f84, 0x4980ad84, 0x496c18ae, 0x49578103, 0x4942e684, - 0x492e4933, 0x4919a90f, - 0x4905061a, 0x48f06054, 0x48dbb7be, 0x48c70c59, 0x48b25e25, 0x489dad25, - 0x4888f957, 0x487442be, - 0x485f8959, 0x484acd2a, 0x48360e32, 0x48214c71, 0x480c87e8, 0x47f7c099, - 0x47e2f682, 0x47ce29a7, - 0x47b95a06, 0x47a487a2, 0x478fb27b, 0x477ada91, 0x4765ffe6, 0x4751227a, - 0x473c424e, 0x47275f63, - 0x471279ba, 0x46fd9154, 0x46e8a631, 0x46d3b852, 0x46bec7b8, 0x46a9d464, - 0x4694de56, 0x467fe590, - 0x466aea12, 0x4655ebdd, 0x4640eaf2, 0x462be751, 0x4616e0fc, 0x4601d7f3, - 0x45eccc37, 0x45d7bdc9, - 0x45c2acaa, 0x45ad98da, 0x4598825a, 0x4583692c, 0x456e4d4f, 0x45592ec6, - 0x45440d90, 0x452ee9ae, - 0x4519c321, 0x450499eb, 0x44ef6e0b, 0x44da3f83, 0x44c50e53, 0x44afda7d, - 0x449aa400, 0x44856adf, - 0x44702f19, 0x445af0b0, 0x4445afa4, 0x44306bf6, 0x441b25a8, 0x4405dcb9, - 0x43f0912b, 0x43db42fe, - 0x43c5f234, 0x43b09ecc, 0x439b48c9, 0x4385f02a, 0x437094f1, 0x435b371f, - 0x4345d6b3, 0x433073b0, - 0x431b0e15, 0x4305a5e5, 0x42f03b1e, 0x42dacdc3, 0x42c55dd4, 0x42afeb53, - 0x429a763f, 0x4284fe99, - 0x426f8463, 0x425a079e, 0x42448849, 0x422f0667, 0x421981f7, 0x4203fafb, - 0x41ee7174, 0x41d8e561, - 0x41c356c5, 0x41adc5a0, 0x419831f3, 0x41829bbe, 0x416d0302, 0x415767c1, - 0x4141c9fb, 0x412c29b1, - 0x411686e4, 0x4100e194, 0x40eb39c3, 0x40d58f71, 0x40bfe29f, 0x40aa334e, - 0x4094817f, 0x407ecd32, - 0x40691669, 0x40535d24, 0x403da165, 0x4027e32b, 0x40122278, 0x3ffc5f4d, - 0x3fe699aa, 0x3fd0d191, - 0x3fbb0702, 0x3fa539fd, 0x3f8f6a85, 0x3f799899, 0x3f63c43b, 0x3f4ded6b, - 0x3f38142a, 0x3f22387a, - 0x3f0c5a5a, 0x3ef679cc, 0x3ee096d1, 0x3ecab169, 0x3eb4c995, 0x3e9edf57, - 0x3e88f2ae, 0x3e73039d, - 0x3e5d1222, 0x3e471e41, 0x3e3127f9, 0x3e1b2f4a, 0x3e053437, 0x3def36c0, - 0x3dd936e6, 0x3dc334a9, - 0x3dad300b, 0x3d97290b, 0x3d811fac, 0x3d6b13ee, 0x3d5505d2, 0x3d3ef559, - 0x3d28e282, 0x3d12cd51, - 0x3cfcb5c4, 0x3ce69bde, 0x3cd07f9f, 0x3cba6107, 0x3ca44018, 0x3c8e1cd3, - 0x3c77f737, 0x3c61cf48, - 0x3c4ba504, 0x3c35786d, 0x3c1f4983, 0x3c091849, 0x3bf2e4be, 0x3bdcaee3, - 0x3bc676b9, 0x3bb03c42, - 0x3b99ff7d, 0x3b83c06c, 0x3b6d7f10, 0x3b573b69, 0x3b40f579, 0x3b2aad3f, - 0x3b1462be, 0x3afe15f6, - 0x3ae7c6e7, 0x3ad17593, 0x3abb21fb, 0x3aa4cc1e, 0x3a8e7400, 0x3a78199f, - 0x3a61bcfd, 0x3a4b5e1b, - 0x3a34fcf9, 0x3a1e9999, 0x3a0833fc, 0x39f1cc21, 0x39db620b, 0x39c4f5ba, - 0x39ae872f, 0x3998166a, - 0x3981a36d, 0x396b2e38, 0x3954b6cd, 0x393e3d2c, 0x3927c155, 0x3911434b, - 0x38fac30e, 0x38e4409e, - 0x38cdbbfc, 0x38b7352a, 0x38a0ac29, 0x388a20f8, 0x38739399, 0x385d040d, - 0x38467255, 0x382fde72, - 0x38194864, 0x3802b02c, 0x37ec15cb, 0x37d57943, 0x37beda93, 0x37a839be, - 0x379196c3, 0x377af1a3, - 0x37644a60, 0x374da0fa, 0x3736f573, 0x372047ca, 0x37099802, 0x36f2e61a, - 0x36dc3214, 0x36c57bf0, - 0x36aec3b0, 0x36980954, 0x36814cde, 0x366a8e4d, 0x3653cda3, 0x363d0ae2, - 0x36264609, 0x360f7f19, - 0x35f8b614, 0x35e1eafa, 0x35cb1dcc, 0x35b44e8c, 0x359d7d39, 0x3586a9d5, - 0x356fd461, 0x3558fcde, - 0x3542234c, 0x352b47ad, 0x35146a00, 0x34fd8a48, 0x34e6a885, 0x34cfc4b7, - 0x34b8dee1, 0x34a1f702, - 0x348b0d1c, 0x3474212f, 0x345d333c, 0x34464345, 0x342f5149, 0x34185d4b, - 0x3401674a, 0x33ea6f48, - 0x33d37546, 0x33bc7944, 0x33a57b44, 0x338e7b46, 0x3377794b, 0x33607554, - 0x33496f62, 0x33326776, - 0x331b5d91, 0x330451b3, 0x32ed43de, 0x32d63412, 0x32bf2250, 0x32a80e99, - 0x3290f8ef, 0x3279e151, - 0x3262c7c1, 0x324bac40, 0x32348ecf, 0x321d6f6e, 0x32064e1e, 0x31ef2ae1, - 0x31d805b7, 0x31c0dea1, - 0x31a9b5a0, 0x31928ab4, 0x317b5de0, 0x31642f23, 0x314cfe7f, 0x3135cbf4, - 0x311e9783, 0x3107612e, - 0x30f028f4, 0x30d8eed8, 0x30c1b2da, 0x30aa74fa, 0x3093353a, 0x307bf39b, - 0x3064b01d, 0x304d6ac1, - 0x30362389, 0x301eda75, 0x30078f86, 0x2ff042bd, 0x2fd8f41b, 0x2fc1a3a0, - 0x2faa514f, 0x2f92fd26, - 0x2f7ba729, 0x2f644f56, 0x2f4cf5b0, 0x2f359a37, 0x2f1e3ced, 0x2f06ddd1, - 0x2eef7ce5, 0x2ed81a29, - 0x2ec0b5a0, 0x2ea94f49, 0x2e91e725, 0x2e7a7d36, 0x2e63117c, 0x2e4ba3f8, - 0x2e3434ac, 0x2e1cc397, - 0x2e0550bb, 0x2deddc19, 0x2dd665b2, 0x2dbeed86, 0x2da77397, 0x2d8ff7e5, - 0x2d787a72, 0x2d60fb3e, - 0x2d497a4a, 0x2d31f797, 0x2d1a7325, 0x2d02ecf7, 0x2ceb650d, 0x2cd3db67, - 0x2cbc5006, 0x2ca4c2ed, - 0x2c8d341a, 0x2c75a390, 0x2c5e114f, 0x2c467d58, 0x2c2ee7ad, 0x2c17504d, - 0x2bffb73a, 0x2be81c74, - 0x2bd07ffe, 0x2bb8e1d7, 0x2ba14200, 0x2b89a07b, 0x2b71fd48, 0x2b5a5868, - 0x2b42b1dd, 0x2b2b09a6, - 0x2b135fc6, 0x2afbb43c, 0x2ae4070a, 0x2acc5831, 0x2ab4a7b1, 0x2a9cf58c, - 0x2a8541c3, 0x2a6d8c55, - 0x2a55d545, 0x2a3e1c93, 0x2a266240, 0x2a0ea64d, 0x29f6e8bb, 0x29df298b, - 0x29c768be, 0x29afa654, - 0x2997e24f, 0x29801caf, 0x29685576, 0x29508ca4, 0x2938c23a, 0x2920f63a, - 0x290928a3, 0x28f15978, - 0x28d988b8, 0x28c1b666, 0x28a9e281, 0x28920d0a, 0x287a3604, 0x28625d6d, - 0x284a8349, 0x2832a796, - 0x281aca57, 0x2802eb8c, 0x27eb0b36, 0x27d32956, 0x27bb45ed, 0x27a360fc, - 0x278b7a84, 0x27739285, - 0x275ba901, 0x2743bdf9, 0x272bd16d, 0x2713e35f, 0x26fbf3ce, 0x26e402bd, - 0x26cc102d, 0x26b41c1d, - 0x269c268f, 0x26842f84, 0x266c36fe, 0x26543cfb, 0x263c417f, 0x26244489, - 0x260c461b, 0x25f44635, - 0x25dc44d9, 0x25c44207, 0x25ac3dc0, 0x25943806, 0x257c30d8, 0x25642839, - 0x254c1e28, 0x253412a8, - 0x251c05b8, 0x2503f75a, 0x24ebe78f, 0x24d3d657, 0x24bbc3b4, 0x24a3afa6, - 0x248b9a2f, 0x2473834f, - 0x245b6b07, 0x24435158, 0x242b3644, 0x241319ca, 0x23fafbec, 0x23e2dcac, - 0x23cabc09, 0x23b29a05, - 0x239a76a0, 0x238251dd, 0x236a2bba, 0x2352043b, 0x2339db5e, 0x2321b126, - 0x23098593, 0x22f158a7, - 0x22d92a61, 0x22c0fac4, 0x22a8c9cf, 0x22909785, 0x227863e5, 0x22602ef1, - 0x2247f8aa, 0x222fc111, - 0x22178826, 0x21ff4dea, 0x21e71260, 0x21ced586, 0x21b6975f, 0x219e57eb, - 0x2186172b, 0x216dd521, - 0x215591cc, 0x213d4d2f, 0x21250749, 0x210cc01d, 0x20f477aa, 0x20dc2df2, - 0x20c3e2f5, 0x20ab96b5, - 0x20934933, 0x207afa6f, 0x2062aa6b, 0x204a5927, 0x203206a4, 0x2019b2e4, - 0x20015de7, 0x1fe907ae, - 0x1fd0b03a, 0x1fb8578b, 0x1f9ffda4, 0x1f87a285, 0x1f6f462f, 0x1f56e8a2, - 0x1f3e89e0, 0x1f2629ea, - 0x1f0dc8c0, 0x1ef56664, 0x1edd02d6, 0x1ec49e17, 0x1eac3829, 0x1e93d10c, - 0x1e7b68c2, 0x1e62ff4a, - 0x1e4a94a7, 0x1e3228d9, 0x1e19bbe0, 0x1e014dbf, 0x1de8de75, 0x1dd06e04, - 0x1db7fc6d, 0x1d9f89b1, - 0x1d8715d0, 0x1d6ea0cc, 0x1d562aa6, 0x1d3db35e, 0x1d253af5, 0x1d0cc16c, - 0x1cf446c5, 0x1cdbcb00, - 0x1cc34e1f, 0x1caad021, 0x1c925109, 0x1c79d0d6, 0x1c614f8b, 0x1c48cd27, - 0x1c3049ac, 0x1c17c51b, - 0x1bff3f75, 0x1be6b8ba, 0x1bce30ec, 0x1bb5a80c, 0x1b9d1e1a, 0x1b849317, - 0x1b6c0705, 0x1b5379e5, - 0x1b3aebb6, 0x1b225c7b, 0x1b09cc34, 0x1af13ae3, 0x1ad8a887, 0x1ac01522, - 0x1aa780b6, 0x1a8eeb42, - 0x1a7654c8, 0x1a5dbd49, 0x1a4524c6, 0x1a2c8b3f, 0x1a13f0b6, 0x19fb552c, - 0x19e2b8a2, 0x19ca1b17, - 0x19b17c8f, 0x1998dd09, 0x19803c86, 0x19679b07, 0x194ef88e, 0x1936551b, - 0x191db0af, 0x19050b4b, - 0x18ec64f0, 0x18d3bda0, 0x18bb155a, 0x18a26c20, 0x1889c1f3, 0x187116d4, - 0x18586ac3, 0x183fbdc3, - 0x18270fd3, 0x180e60f4, 0x17f5b129, 0x17dd0070, 0x17c44ecd, 0x17ab9c3e, - 0x1792e8c6, 0x177a3466, - 0x17617f1d, 0x1748c8ee, 0x173011d9, 0x171759df, 0x16fea102, 0x16e5e741, - 0x16cd2c9f, 0x16b4711b, - 0x169bb4b7, 0x1682f774, 0x166a3953, 0x16517a55, 0x1638ba7a, 0x161ff9c4, - 0x16073834, 0x15ee75cb, - 0x15d5b288, 0x15bcee6f, 0x15a4297f, 0x158b63b9, 0x15729d1f, 0x1559d5b1, - 0x15410d70, 0x1528445d, - 0x150f7a7a, 0x14f6afc7, 0x14dde445, 0x14c517f4, 0x14ac4ad7, 0x14937cee, - 0x147aae3a, 0x1461debc, - 0x14490e74, 0x14303d65, 0x14176b8e, 0x13fe98f1, 0x13e5c58e, 0x13ccf167, - 0x13b41c7d, 0x139b46d0, - 0x13827062, 0x13699933, 0x1350c144, 0x1337e897, 0x131f0f2c, 0x13063505, - 0x12ed5a21, 0x12d47e83, - 0x12bba22b, 0x12a2c51b, 0x1289e752, 0x127108d2, 0x1258299c, 0x123f49b2, - 0x12266913, 0x120d87c1, - 0x11f4a5bd, 0x11dbc307, 0x11c2dfa2, 0x11a9fb8d, 0x119116c9, 0x11783159, - 0x115f4b3c, 0x11466473, - 0x112d7d00, 0x111494e4, 0x10fbac1e, 0x10e2c2b2, 0x10c9d89e, 0x10b0ede5, - 0x10980287, 0x107f1686, - 0x106629e1, 0x104d3c9b, 0x10344eb4, 0x101b602d, 0x10027107, 0xfe98143, - 0xfd090e1, 0xfb79fe4, - 0xf9eae4c, 0xf85bc19, 0xf6cc94e, 0xf53d5ea, 0xf3ae1ee, 0xf21ed5d, 0xf08f836, - 0xef0027b, - 0xed70c2c, 0xebe154b, 0xea51dd8, 0xe8c25d5, 0xe732d42, 0xe5a3421, 0xe413a72, - 0xe284036, - 0xe0f456f, 0xdf64a1c, 0xddd4e40, 0xdc451dc, 0xdab54ef, 0xd92577b, 0xd795982, - 0xd605b03, - 0xd475c00, 0xd2e5c7b, 0xd155c73, 0xcfc5bea, 0xce35ae1, 0xcca5959, 0xcb15752, - 0xc9854cf, - 0xc7f51cf, 0xc664e53, 0xc4d4a5d, 0xc3445ee, 0xc1b4107, 0xc023ba7, 0xbe935d2, - 0xbd02f87, - 0xbb728c7, 0xb9e2193, 0xb8519ed, 0xb6c11d5, 0xb53094d, 0xb3a0055, 0xb20f6ee, - 0xb07ed19, - 0xaeee2d7, 0xad5d829, 0xabccd11, 0xaa3c18e, 0xa8ab5a2, 0xa71a94f, 0xa589c94, - 0xa3f8f73, - 0xa2681ed, 0xa0d7403, 0x9f465b5, 0x9db5706, 0x9c247f5, 0x9a93884, 0x99028b3, - 0x9771884, - 0x95e07f8, 0x944f70f, 0x92be5ca, 0x912d42c, 0x8f9c233, 0x8e0afe2, 0x8c79d3a, - 0x8ae8a3a, - 0x89576e5, 0x87c633c, 0x8634f3e, 0x84a3aee, 0x831264c, 0x8181159, 0x7fefc16, - 0x7e5e685, - 0x7ccd0a5, 0x7b3ba78, 0x79aa400, 0x7818d3c, 0x768762e, 0x74f5ed7, 0x7364738, - 0x71d2f52, - 0x7041726, 0x6eafeb4, 0x6d1e5fe, 0x6b8cd05, 0x69fb3c9, 0x6869a4c, 0x66d808f, - 0x6546692, - 0x63b4c57, 0x62231de, 0x6091729, 0x5effc38, 0x5d6e10c, 0x5bdc5a7, 0x5a4aa09, - 0x58b8e34, - 0x5727228, 0x55955e6, 0x540396f, 0x5271cc4, 0x50dffe7, 0x4f4e2d8, 0x4dbc597, - 0x4c2a827, - 0x4a98a88, 0x4906cbb, 0x4774ec1, 0x45e309a, 0x4451249, 0x42bf3cd, 0x412d528, - 0x3f9b65b, - 0x3e09767, 0x3c7784d, 0x3ae590d, 0x39539a9, 0x37c1a22, 0x362fa78, 0x349daac, - 0x330bac1, - 0x3179ab5, 0x2fe7a8c, 0x2e55a44, 0x2cc39e1, 0x2b31961, 0x299f8c7, 0x280d813, - 0x267b747, - 0x24e9662, 0x2357567, 0x21c5457, 0x2033331, 0x1ea11f7, 0x1d0f0ab, 0x1b7cf4d, - 0x19eaddd, - 0x1858c5e, 0x16c6ad0, 0x1534934, 0x13a278a, 0x12105d5, 0x107e414, 0xeec249, - 0xd5a075, - 0xbc7e99, 0xa35cb5, 0x8a3acb, 0x7118dc, 0x57f6e9, 0x3ed4f2, 0x25b2f8, - 0xc90fe, - -}; - -static const q31_t cos_factorsQ31_8192[8192] = { - 0x7ffffff6, 0x7fffffa7, 0x7fffff09, 0x7ffffe1c, 0x7ffffce1, 0x7ffffb56, - 0x7ffff97c, 0x7ffff753, - 0x7ffff4dc, 0x7ffff215, 0x7fffef00, 0x7fffeb9b, 0x7fffe7e8, 0x7fffe3e5, - 0x7fffdf94, 0x7fffdaf3, - 0x7fffd604, 0x7fffd0c6, 0x7fffcb39, 0x7fffc55c, 0x7fffbf31, 0x7fffb8b7, - 0x7fffb1ee, 0x7fffaad6, - 0x7fffa36f, 0x7fff9bb9, 0x7fff93b4, 0x7fff8b61, 0x7fff82be, 0x7fff79cc, - 0x7fff708b, 0x7fff66fc, - 0x7fff5d1d, 0x7fff52ef, 0x7fff4873, 0x7fff3da8, 0x7fff328d, 0x7fff2724, - 0x7fff1b6b, 0x7fff0f64, - 0x7fff030e, 0x7ffef669, 0x7ffee975, 0x7ffedc31, 0x7ffece9f, 0x7ffec0be, - 0x7ffeb28e, 0x7ffea40f, - 0x7ffe9542, 0x7ffe8625, 0x7ffe76b9, 0x7ffe66fe, 0x7ffe56f5, 0x7ffe469c, - 0x7ffe35f4, 0x7ffe24fe, - 0x7ffe13b8, 0x7ffe0224, 0x7ffdf040, 0x7ffdde0e, 0x7ffdcb8d, 0x7ffdb8bc, - 0x7ffda59d, 0x7ffd922f, - 0x7ffd7e72, 0x7ffd6a66, 0x7ffd560b, 0x7ffd4161, 0x7ffd2c68, 0x7ffd1720, - 0x7ffd0189, 0x7ffceba4, - 0x7ffcd56f, 0x7ffcbeeb, 0x7ffca819, 0x7ffc90f7, 0x7ffc7987, 0x7ffc61c7, - 0x7ffc49b9, 0x7ffc315b, - 0x7ffc18af, 0x7ffbffb4, 0x7ffbe66a, 0x7ffbccd0, 0x7ffbb2e8, 0x7ffb98b1, - 0x7ffb7e2b, 0x7ffb6356, - 0x7ffb4833, 0x7ffb2cc0, 0x7ffb10fe, 0x7ffaf4ed, 0x7ffad88e, 0x7ffabbdf, - 0x7ffa9ee2, 0x7ffa8195, - 0x7ffa63fa, 0x7ffa460f, 0x7ffa27d6, 0x7ffa094e, 0x7ff9ea76, 0x7ff9cb50, - 0x7ff9abdb, 0x7ff98c17, - 0x7ff96c04, 0x7ff94ba2, 0x7ff92af1, 0x7ff909f2, 0x7ff8e8a3, 0x7ff8c705, - 0x7ff8a519, 0x7ff882dd, - 0x7ff86053, 0x7ff83d79, 0x7ff81a51, 0x7ff7f6da, 0x7ff7d313, 0x7ff7aefe, - 0x7ff78a9a, 0x7ff765e7, - 0x7ff740e5, 0x7ff71b94, 0x7ff6f5f4, 0x7ff6d005, 0x7ff6a9c8, 0x7ff6833b, - 0x7ff65c5f, 0x7ff63535, - 0x7ff60dbb, 0x7ff5e5f3, 0x7ff5bddc, 0x7ff59576, 0x7ff56cc0, 0x7ff543bc, - 0x7ff51a69, 0x7ff4f0c7, - 0x7ff4c6d6, 0x7ff49c96, 0x7ff47208, 0x7ff4472a, 0x7ff41bfd, 0x7ff3f082, - 0x7ff3c4b7, 0x7ff3989e, - 0x7ff36c36, 0x7ff33f7e, 0x7ff31278, 0x7ff2e523, 0x7ff2b77f, 0x7ff2898c, - 0x7ff25b4a, 0x7ff22cb9, - 0x7ff1fdd9, 0x7ff1ceab, 0x7ff19f2d, 0x7ff16f61, 0x7ff13f45, 0x7ff10edb, - 0x7ff0de22, 0x7ff0ad19, - 0x7ff07bc2, 0x7ff04a1c, 0x7ff01827, 0x7fefe5e4, 0x7fefb351, 0x7fef806f, - 0x7fef4d3e, 0x7fef19bf, - 0x7feee5f0, 0x7feeb1d3, 0x7fee7d67, 0x7fee48ac, 0x7fee13a1, 0x7fedde48, - 0x7feda8a0, 0x7fed72aa, - 0x7fed3c64, 0x7fed05cf, 0x7fecceec, 0x7fec97b9, 0x7fec6038, 0x7fec2867, - 0x7febf048, 0x7febb7da, - 0x7feb7f1d, 0x7feb4611, 0x7feb0cb6, 0x7fead30c, 0x7fea9914, 0x7fea5ecc, - 0x7fea2436, 0x7fe9e950, - 0x7fe9ae1c, 0x7fe97299, 0x7fe936c7, 0x7fe8faa6, 0x7fe8be36, 0x7fe88177, - 0x7fe84469, 0x7fe8070d, - 0x7fe7c961, 0x7fe78b67, 0x7fe74d1e, 0x7fe70e85, 0x7fe6cf9e, 0x7fe69068, - 0x7fe650e3, 0x7fe61110, - 0x7fe5d0ed, 0x7fe5907b, 0x7fe54fbb, 0x7fe50eac, 0x7fe4cd4d, 0x7fe48ba0, - 0x7fe449a4, 0x7fe40759, - 0x7fe3c4bf, 0x7fe381d7, 0x7fe33e9f, 0x7fe2fb19, 0x7fe2b743, 0x7fe2731f, - 0x7fe22eac, 0x7fe1e9ea, - 0x7fe1a4d9, 0x7fe15f79, 0x7fe119cb, 0x7fe0d3cd, 0x7fe08d81, 0x7fe046e5, - 0x7fdffffb, 0x7fdfb8c2, - 0x7fdf713a, 0x7fdf2963, 0x7fdee13e, 0x7fde98c9, 0x7fde5006, 0x7fde06f3, - 0x7fddbd92, 0x7fdd73e2, - 0x7fdd29e3, 0x7fdcdf95, 0x7fdc94f9, 0x7fdc4a0d, 0x7fdbfed3, 0x7fdbb349, - 0x7fdb6771, 0x7fdb1b4a, - 0x7fdaced4, 0x7fda820f, 0x7fda34fc, 0x7fd9e799, 0x7fd999e8, 0x7fd94be8, - 0x7fd8fd98, 0x7fd8aefa, - 0x7fd8600e, 0x7fd810d2, 0x7fd7c147, 0x7fd7716e, 0x7fd72146, 0x7fd6d0cf, - 0x7fd68009, 0x7fd62ef4, - 0x7fd5dd90, 0x7fd58bdd, 0x7fd539dc, 0x7fd4e78c, 0x7fd494ed, 0x7fd441ff, - 0x7fd3eec2, 0x7fd39b36, - 0x7fd3475c, 0x7fd2f332, 0x7fd29eba, 0x7fd249f3, 0x7fd1f4dd, 0x7fd19f78, - 0x7fd149c5, 0x7fd0f3c2, - 0x7fd09d71, 0x7fd046d1, 0x7fcfefe2, 0x7fcf98a4, 0x7fcf4117, 0x7fcee93c, - 0x7fce9112, 0x7fce3898, - 0x7fcddfd0, 0x7fcd86b9, 0x7fcd2d54, 0x7fccd39f, 0x7fcc799c, 0x7fcc1f4a, - 0x7fcbc4a9, 0x7fcb69b9, - 0x7fcb0e7a, 0x7fcab2ed, 0x7fca5710, 0x7fc9fae5, 0x7fc99e6b, 0x7fc941a2, - 0x7fc8e48b, 0x7fc88724, - 0x7fc8296f, 0x7fc7cb6b, 0x7fc76d18, 0x7fc70e76, 0x7fc6af86, 0x7fc65046, - 0x7fc5f0b8, 0x7fc590db, - 0x7fc530af, 0x7fc4d035, 0x7fc46f6b, 0x7fc40e53, 0x7fc3acec, 0x7fc34b36, - 0x7fc2e931, 0x7fc286de, - 0x7fc2243b, 0x7fc1c14a, 0x7fc15e0a, 0x7fc0fa7b, 0x7fc0969e, 0x7fc03271, - 0x7fbfcdf6, 0x7fbf692c, - 0x7fbf0414, 0x7fbe9eac, 0x7fbe38f6, 0x7fbdd2f0, 0x7fbd6c9c, 0x7fbd05fa, - 0x7fbc9f08, 0x7fbc37c8, - 0x7fbbd039, 0x7fbb685b, 0x7fbb002e, 0x7fba97b2, 0x7fba2ee8, 0x7fb9c5cf, - 0x7fb95c67, 0x7fb8f2b0, - 0x7fb888ab, 0x7fb81e57, 0x7fb7b3b4, 0x7fb748c2, 0x7fb6dd81, 0x7fb671f2, - 0x7fb60614, 0x7fb599e7, - 0x7fb52d6b, 0x7fb4c0a1, 0x7fb45387, 0x7fb3e61f, 0x7fb37869, 0x7fb30a63, - 0x7fb29c0f, 0x7fb22d6c, - 0x7fb1be7a, 0x7fb14f39, 0x7fb0dfaa, 0x7fb06fcb, 0x7fafff9e, 0x7faf8f23, - 0x7faf1e58, 0x7faead3f, - 0x7fae3bd7, 0x7fadca20, 0x7fad581b, 0x7face5c6, 0x7fac7323, 0x7fac0031, - 0x7fab8cf1, 0x7fab1962, - 0x7faaa584, 0x7faa3157, 0x7fa9bcdb, 0x7fa94811, 0x7fa8d2f8, 0x7fa85d90, - 0x7fa7e7d9, 0x7fa771d4, - 0x7fa6fb80, 0x7fa684dd, 0x7fa60dec, 0x7fa596ac, 0x7fa51f1d, 0x7fa4a73f, - 0x7fa42f12, 0x7fa3b697, - 0x7fa33dcd, 0x7fa2c4b5, 0x7fa24b4d, 0x7fa1d197, 0x7fa15792, 0x7fa0dd3f, - 0x7fa0629c, 0x7f9fe7ab, - 0x7f9f6c6b, 0x7f9ef0dd, 0x7f9e7500, 0x7f9df8d4, 0x7f9d7c59, 0x7f9cff90, - 0x7f9c8278, 0x7f9c0511, - 0x7f9b875b, 0x7f9b0957, 0x7f9a8b04, 0x7f9a0c62, 0x7f998d72, 0x7f990e33, - 0x7f988ea5, 0x7f980ec8, - 0x7f978e9d, 0x7f970e23, 0x7f968d5b, 0x7f960c43, 0x7f958add, 0x7f950929, - 0x7f948725, 0x7f9404d3, - 0x7f938232, 0x7f92ff43, 0x7f927c04, 0x7f91f878, 0x7f91749c, 0x7f90f072, - 0x7f906bf9, 0x7f8fe731, - 0x7f8f621b, 0x7f8edcb6, 0x7f8e5702, 0x7f8dd0ff, 0x7f8d4aae, 0x7f8cc40f, - 0x7f8c3d20, 0x7f8bb5e3, - 0x7f8b2e57, 0x7f8aa67d, 0x7f8a1e54, 0x7f8995dc, 0x7f890d15, 0x7f888400, - 0x7f87fa9c, 0x7f8770ea, - 0x7f86e6e9, 0x7f865c99, 0x7f85d1fa, 0x7f85470d, 0x7f84bbd1, 0x7f843047, - 0x7f83a46e, 0x7f831846, - 0x7f828bcf, 0x7f81ff0a, 0x7f8171f6, 0x7f80e494, 0x7f8056e3, 0x7f7fc8e3, - 0x7f7f3a95, 0x7f7eabf8, - 0x7f7e1d0c, 0x7f7d8dd2, 0x7f7cfe49, 0x7f7c6e71, 0x7f7bde4b, 0x7f7b4dd6, - 0x7f7abd13, 0x7f7a2c01, - 0x7f799aa0, 0x7f7908f0, 0x7f7876f2, 0x7f77e4a6, 0x7f77520a, 0x7f76bf21, - 0x7f762be8, 0x7f759861, - 0x7f75048b, 0x7f747067, 0x7f73dbf4, 0x7f734732, 0x7f72b222, 0x7f721cc3, - 0x7f718715, 0x7f70f119, - 0x7f705ace, 0x7f6fc435, 0x7f6f2d4d, 0x7f6e9617, 0x7f6dfe91, 0x7f6d66be, - 0x7f6cce9b, 0x7f6c362a, - 0x7f6b9d6b, 0x7f6b045d, 0x7f6a6b00, 0x7f69d154, 0x7f69375a, 0x7f689d12, - 0x7f68027b, 0x7f676795, - 0x7f66cc61, 0x7f6630de, 0x7f65950c, 0x7f64f8ec, 0x7f645c7d, 0x7f63bfc0, - 0x7f6322b4, 0x7f62855a, - 0x7f61e7b1, 0x7f6149b9, 0x7f60ab73, 0x7f600cdf, 0x7f5f6dfb, 0x7f5ecec9, - 0x7f5e2f49, 0x7f5d8f7a, - 0x7f5cef5c, 0x7f5c4ef0, 0x7f5bae36, 0x7f5b0d2c, 0x7f5a6bd5, 0x7f59ca2e, - 0x7f592839, 0x7f5885f6, - 0x7f57e364, 0x7f574083, 0x7f569d54, 0x7f55f9d6, 0x7f55560a, 0x7f54b1ef, - 0x7f540d86, 0x7f5368ce, - 0x7f52c3c8, 0x7f521e73, 0x7f5178cf, 0x7f50d2dd, 0x7f502c9d, 0x7f4f860e, - 0x7f4edf30, 0x7f4e3804, - 0x7f4d9089, 0x7f4ce8c0, 0x7f4c40a8, 0x7f4b9842, 0x7f4aef8d, 0x7f4a468a, - 0x7f499d38, 0x7f48f398, - 0x7f4849a9, 0x7f479f6c, 0x7f46f4e0, 0x7f464a06, 0x7f459edd, 0x7f44f365, - 0x7f44479f, 0x7f439b8b, - 0x7f42ef28, 0x7f424277, 0x7f419577, 0x7f40e828, 0x7f403a8b, 0x7f3f8ca0, - 0x7f3ede66, 0x7f3e2fde, - 0x7f3d8107, 0x7f3cd1e2, 0x7f3c226e, 0x7f3b72ab, 0x7f3ac29b, 0x7f3a123b, - 0x7f39618e, 0x7f38b091, - 0x7f37ff47, 0x7f374dad, 0x7f369bc6, 0x7f35e990, 0x7f35370b, 0x7f348438, - 0x7f33d116, 0x7f331da6, - 0x7f3269e8, 0x7f31b5db, 0x7f31017f, 0x7f304cd6, 0x7f2f97dd, 0x7f2ee296, - 0x7f2e2d01, 0x7f2d771e, - 0x7f2cc0eb, 0x7f2c0a6b, 0x7f2b539c, 0x7f2a9c7e, 0x7f29e512, 0x7f292d58, - 0x7f28754f, 0x7f27bcf8, - 0x7f270452, 0x7f264b5e, 0x7f25921c, 0x7f24d88b, 0x7f241eab, 0x7f23647e, - 0x7f22aa01, 0x7f21ef37, - 0x7f21341e, 0x7f2078b6, 0x7f1fbd00, 0x7f1f00fc, 0x7f1e44a9, 0x7f1d8808, - 0x7f1ccb18, 0x7f1c0dda, - 0x7f1b504e, 0x7f1a9273, 0x7f19d44a, 0x7f1915d2, 0x7f18570c, 0x7f1797f8, - 0x7f16d895, 0x7f1618e4, - 0x7f1558e4, 0x7f149896, 0x7f13d7fa, 0x7f13170f, 0x7f1255d6, 0x7f11944f, - 0x7f10d279, 0x7f101054, - 0x7f0f4de2, 0x7f0e8b21, 0x7f0dc811, 0x7f0d04b3, 0x7f0c4107, 0x7f0b7d0d, - 0x7f0ab8c4, 0x7f09f42d, - 0x7f092f47, 0x7f086a13, 0x7f07a491, 0x7f06dec0, 0x7f0618a1, 0x7f055233, - 0x7f048b78, 0x7f03c46d, - 0x7f02fd15, 0x7f02356e, 0x7f016d79, 0x7f00a535, 0x7effdca4, 0x7eff13c3, - 0x7efe4a95, 0x7efd8118, - 0x7efcb74d, 0x7efbed33, 0x7efb22cb, 0x7efa5815, 0x7ef98d11, 0x7ef8c1be, - 0x7ef7f61d, 0x7ef72a2d, - 0x7ef65def, 0x7ef59163, 0x7ef4c489, 0x7ef3f760, 0x7ef329e9, 0x7ef25c24, - 0x7ef18e10, 0x7ef0bfae, - 0x7eeff0fe, 0x7eef21ff, 0x7eee52b2, 0x7eed8317, 0x7eecb32d, 0x7eebe2f6, - 0x7eeb1270, 0x7eea419b, - 0x7ee97079, 0x7ee89f08, 0x7ee7cd49, 0x7ee6fb3b, 0x7ee628df, 0x7ee55635, - 0x7ee4833d, 0x7ee3aff6, - 0x7ee2dc61, 0x7ee2087e, 0x7ee1344d, 0x7ee05fcd, 0x7edf8aff, 0x7edeb5e3, - 0x7edde079, 0x7edd0ac0, - 0x7edc34b9, 0x7edb5e64, 0x7eda87c0, 0x7ed9b0ce, 0x7ed8d98e, 0x7ed80200, - 0x7ed72a24, 0x7ed651f9, - 0x7ed57980, 0x7ed4a0b9, 0x7ed3c7a3, 0x7ed2ee40, 0x7ed2148e, 0x7ed13a8e, - 0x7ed0603f, 0x7ecf85a3, - 0x7eceaab8, 0x7ecdcf7f, 0x7eccf3f8, 0x7ecc1822, 0x7ecb3bff, 0x7eca5f8d, - 0x7ec982cd, 0x7ec8a5bf, - 0x7ec7c862, 0x7ec6eab7, 0x7ec60cbe, 0x7ec52e77, 0x7ec44fe2, 0x7ec370fe, - 0x7ec291cd, 0x7ec1b24d, - 0x7ec0d27f, 0x7ebff263, 0x7ebf11f8, 0x7ebe313f, 0x7ebd5039, 0x7ebc6ee4, - 0x7ebb8d40, 0x7ebaab4f, - 0x7eb9c910, 0x7eb8e682, 0x7eb803a6, 0x7eb7207c, 0x7eb63d04, 0x7eb5593d, - 0x7eb47529, 0x7eb390c6, - 0x7eb2ac15, 0x7eb1c716, 0x7eb0e1c9, 0x7eaffc2e, 0x7eaf1645, 0x7eae300d, - 0x7ead4987, 0x7eac62b3, - 0x7eab7b91, 0x7eaa9421, 0x7ea9ac63, 0x7ea8c457, 0x7ea7dbfc, 0x7ea6f353, - 0x7ea60a5d, 0x7ea52118, - 0x7ea43785, 0x7ea34da4, 0x7ea26374, 0x7ea178f7, 0x7ea08e2b, 0x7e9fa312, - 0x7e9eb7aa, 0x7e9dcbf4, - 0x7e9cdff0, 0x7e9bf39e, 0x7e9b06fe, 0x7e9a1a10, 0x7e992cd4, 0x7e983f49, - 0x7e975171, 0x7e96634a, - 0x7e9574d6, 0x7e948613, 0x7e939702, 0x7e92a7a3, 0x7e91b7f6, 0x7e90c7fb, - 0x7e8fd7b2, 0x7e8ee71b, - 0x7e8df636, 0x7e8d0502, 0x7e8c1381, 0x7e8b21b1, 0x7e8a2f94, 0x7e893d28, - 0x7e884a6f, 0x7e875767, - 0x7e866411, 0x7e85706d, 0x7e847c7c, 0x7e83883c, 0x7e8293ae, 0x7e819ed2, - 0x7e80a9a8, 0x7e7fb430, - 0x7e7ebe6a, 0x7e7dc856, 0x7e7cd1f4, 0x7e7bdb44, 0x7e7ae446, 0x7e79ecf9, - 0x7e78f55f, 0x7e77fd77, - 0x7e770541, 0x7e760cbd, 0x7e7513ea, 0x7e741aca, 0x7e73215c, 0x7e7227a0, - 0x7e712d96, 0x7e70333d, - 0x7e6f3897, 0x7e6e3da3, 0x7e6d4261, 0x7e6c46d1, 0x7e6b4af2, 0x7e6a4ec6, - 0x7e69524c, 0x7e685584, - 0x7e67586e, 0x7e665b0a, 0x7e655d58, 0x7e645f58, 0x7e63610a, 0x7e62626e, - 0x7e616384, 0x7e60644c, - 0x7e5f64c7, 0x7e5e64f3, 0x7e5d64d1, 0x7e5c6461, 0x7e5b63a4, 0x7e5a6298, - 0x7e59613f, 0x7e585f97, - 0x7e575da2, 0x7e565b5f, 0x7e5558ce, 0x7e5455ef, 0x7e5352c1, 0x7e524f46, - 0x7e514b7e, 0x7e504767, - 0x7e4f4302, 0x7e4e3e4f, 0x7e4d394f, 0x7e4c3400, 0x7e4b2e64, 0x7e4a287a, - 0x7e492241, 0x7e481bbb, - 0x7e4714e7, 0x7e460dc5, 0x7e450656, 0x7e43fe98, 0x7e42f68c, 0x7e41ee33, - 0x7e40e58c, 0x7e3fdc97, - 0x7e3ed353, 0x7e3dc9c3, 0x7e3cbfe4, 0x7e3bb5b7, 0x7e3aab3c, 0x7e39a074, - 0x7e38955e, 0x7e3789fa, - 0x7e367e48, 0x7e357248, 0x7e3465fa, 0x7e33595e, 0x7e324c75, 0x7e313f3e, - 0x7e3031b9, 0x7e2f23e6, - 0x7e2e15c5, 0x7e2d0756, 0x7e2bf89a, 0x7e2ae990, 0x7e29da38, 0x7e28ca92, - 0x7e27ba9e, 0x7e26aa5d, - 0x7e2599cd, 0x7e2488f0, 0x7e2377c5, 0x7e22664c, 0x7e215486, 0x7e204271, - 0x7e1f300f, 0x7e1e1d5f, - 0x7e1d0a61, 0x7e1bf716, 0x7e1ae37c, 0x7e19cf95, 0x7e18bb60, 0x7e17a6dd, - 0x7e16920d, 0x7e157cee, - 0x7e146782, 0x7e1351c9, 0x7e123bc1, 0x7e11256c, 0x7e100ec8, 0x7e0ef7d7, - 0x7e0de099, 0x7e0cc90c, - 0x7e0bb132, 0x7e0a990a, 0x7e098095, 0x7e0867d1, 0x7e074ec0, 0x7e063561, - 0x7e051bb4, 0x7e0401ba, - 0x7e02e772, 0x7e01ccdc, 0x7e00b1f9, 0x7dff96c7, 0x7dfe7b48, 0x7dfd5f7b, - 0x7dfc4361, 0x7dfb26f9, - 0x7dfa0a43, 0x7df8ed3f, 0x7df7cfee, 0x7df6b24f, 0x7df59462, 0x7df47628, - 0x7df357a0, 0x7df238ca, - 0x7df119a7, 0x7deffa35, 0x7deeda77, 0x7dedba6a, 0x7dec9a10, 0x7deb7968, - 0x7dea5872, 0x7de9372f, - 0x7de8159e, 0x7de6f3c0, 0x7de5d193, 0x7de4af1a, 0x7de38c52, 0x7de2693d, - 0x7de145da, 0x7de02229, - 0x7ddefe2b, 0x7dddd9e0, 0x7ddcb546, 0x7ddb905f, 0x7dda6b2a, 0x7dd945a8, - 0x7dd81fd8, 0x7dd6f9ba, - 0x7dd5d34f, 0x7dd4ac96, 0x7dd38590, 0x7dd25e3c, 0x7dd1369a, 0x7dd00eab, - 0x7dcee66e, 0x7dcdbde3, - 0x7dcc950b, 0x7dcb6be6, 0x7dca4272, 0x7dc918b1, 0x7dc7eea3, 0x7dc6c447, - 0x7dc5999d, 0x7dc46ea6, - 0x7dc34361, 0x7dc217cf, 0x7dc0ebef, 0x7dbfbfc1, 0x7dbe9346, 0x7dbd667d, - 0x7dbc3967, 0x7dbb0c03, - 0x7db9de52, 0x7db8b053, 0x7db78207, 0x7db6536d, 0x7db52485, 0x7db3f550, - 0x7db2c5cd, 0x7db195fd, - 0x7db065df, 0x7daf3574, 0x7dae04bb, 0x7dacd3b5, 0x7daba261, 0x7daa70c0, - 0x7da93ed1, 0x7da80c95, - 0x7da6da0b, 0x7da5a733, 0x7da4740e, 0x7da3409c, 0x7da20cdc, 0x7da0d8cf, - 0x7d9fa474, 0x7d9e6fcb, - 0x7d9d3ad6, 0x7d9c0592, 0x7d9ad001, 0x7d999a23, 0x7d9863f7, 0x7d972d7e, - 0x7d95f6b7, 0x7d94bfa3, - 0x7d938841, 0x7d925092, 0x7d911896, 0x7d8fe04c, 0x7d8ea7b4, 0x7d8d6ecf, - 0x7d8c359d, 0x7d8afc1d, - 0x7d89c250, 0x7d888835, 0x7d874dcd, 0x7d861317, 0x7d84d814, 0x7d839cc4, - 0x7d826126, 0x7d81253a, - 0x7d7fe902, 0x7d7eac7c, 0x7d7d6fa8, 0x7d7c3287, 0x7d7af519, 0x7d79b75d, - 0x7d787954, 0x7d773afd, - 0x7d75fc59, 0x7d74bd68, 0x7d737e29, 0x7d723e9d, 0x7d70fec4, 0x7d6fbe9d, - 0x7d6e7e29, 0x7d6d3d67, - 0x7d6bfc58, 0x7d6abafc, 0x7d697952, 0x7d68375b, 0x7d66f517, 0x7d65b285, - 0x7d646fa6, 0x7d632c79, - 0x7d61e8ff, 0x7d60a538, 0x7d5f6124, 0x7d5e1cc2, 0x7d5cd813, 0x7d5b9316, - 0x7d5a4dcc, 0x7d590835, - 0x7d57c251, 0x7d567c1f, 0x7d5535a0, 0x7d53eed3, 0x7d52a7ba, 0x7d516053, - 0x7d50189e, 0x7d4ed09d, - 0x7d4d884e, 0x7d4c3fb1, 0x7d4af6c8, 0x7d49ad91, 0x7d48640d, 0x7d471a3c, - 0x7d45d01d, 0x7d4485b1, - 0x7d433af8, 0x7d41eff1, 0x7d40a49e, 0x7d3f58fd, 0x7d3e0d0e, 0x7d3cc0d3, - 0x7d3b744a, 0x7d3a2774, - 0x7d38da51, 0x7d378ce0, 0x7d363f23, 0x7d34f118, 0x7d33a2bf, 0x7d32541a, - 0x7d310527, 0x7d2fb5e7, - 0x7d2e665a, 0x7d2d1680, 0x7d2bc659, 0x7d2a75e4, 0x7d292522, 0x7d27d413, - 0x7d2682b6, 0x7d25310d, - 0x7d23df16, 0x7d228cd2, 0x7d213a41, 0x7d1fe762, 0x7d1e9437, 0x7d1d40be, - 0x7d1becf8, 0x7d1a98e5, - 0x7d194485, 0x7d17efd8, 0x7d169add, 0x7d154595, 0x7d13f001, 0x7d129a1f, - 0x7d1143ef, 0x7d0fed73, - 0x7d0e96aa, 0x7d0d3f93, 0x7d0be82f, 0x7d0a907e, 0x7d093880, 0x7d07e035, - 0x7d06879d, 0x7d052eb8, - 0x7d03d585, 0x7d027c05, 0x7d012239, 0x7cffc81f, 0x7cfe6db8, 0x7cfd1304, - 0x7cfbb803, 0x7cfa5cb4, - 0x7cf90119, 0x7cf7a531, 0x7cf648fb, 0x7cf4ec79, 0x7cf38fa9, 0x7cf2328c, - 0x7cf0d522, 0x7cef776b, - 0x7cee1967, 0x7cecbb16, 0x7ceb5c78, 0x7ce9fd8d, 0x7ce89e55, 0x7ce73ed0, - 0x7ce5defd, 0x7ce47ede, - 0x7ce31e72, 0x7ce1bdb8, 0x7ce05cb2, 0x7cdefb5e, 0x7cdd99be, 0x7cdc37d0, - 0x7cdad596, 0x7cd9730e, - 0x7cd8103a, 0x7cd6ad18, 0x7cd549aa, 0x7cd3e5ee, 0x7cd281e5, 0x7cd11d90, - 0x7ccfb8ed, 0x7cce53fe, - 0x7ccceec1, 0x7ccb8937, 0x7cca2361, 0x7cc8bd3d, 0x7cc756cd, 0x7cc5f010, - 0x7cc48905, 0x7cc321ae, - 0x7cc1ba09, 0x7cc05218, 0x7cbee9da, 0x7cbd814f, 0x7cbc1877, 0x7cbaaf51, - 0x7cb945df, 0x7cb7dc20, - 0x7cb67215, 0x7cb507bc, 0x7cb39d16, 0x7cb23223, 0x7cb0c6e4, 0x7caf5b57, - 0x7cadef7e, 0x7cac8358, - 0x7cab16e4, 0x7ca9aa24, 0x7ca83d17, 0x7ca6cfbd, 0x7ca56216, 0x7ca3f423, - 0x7ca285e2, 0x7ca11755, - 0x7c9fa87a, 0x7c9e3953, 0x7c9cc9df, 0x7c9b5a1e, 0x7c99ea10, 0x7c9879b6, - 0x7c97090e, 0x7c95981a, - 0x7c9426d8, 0x7c92b54a, 0x7c91436f, 0x7c8fd148, 0x7c8e5ed3, 0x7c8cec12, - 0x7c8b7903, 0x7c8a05a8, - 0x7c889200, 0x7c871e0c, 0x7c85a9ca, 0x7c84353c, 0x7c82c060, 0x7c814b39, - 0x7c7fd5c4, 0x7c7e6002, - 0x7c7ce9f4, 0x7c7b7399, 0x7c79fcf1, 0x7c7885fc, 0x7c770eba, 0x7c75972c, - 0x7c741f51, 0x7c72a729, - 0x7c712eb5, 0x7c6fb5f3, 0x7c6e3ce5, 0x7c6cc38a, 0x7c6b49e3, 0x7c69cfee, - 0x7c6855ad, 0x7c66db1f, - 0x7c656045, 0x7c63e51e, 0x7c6269aa, 0x7c60ede9, 0x7c5f71db, 0x7c5df581, - 0x7c5c78da, 0x7c5afbe6, - 0x7c597ea6, 0x7c580119, 0x7c56833f, 0x7c550519, 0x7c5386a6, 0x7c5207e6, - 0x7c5088d9, 0x7c4f0980, - 0x7c4d89da, 0x7c4c09e8, 0x7c4a89a8, 0x7c49091c, 0x7c478844, 0x7c46071f, - 0x7c4485ad, 0x7c4303ee, - 0x7c4181e3, 0x7c3fff8b, 0x7c3e7ce7, 0x7c3cf9f5, 0x7c3b76b8, 0x7c39f32d, - 0x7c386f56, 0x7c36eb33, - 0x7c3566c2, 0x7c33e205, 0x7c325cfc, 0x7c30d7a6, 0x7c2f5203, 0x7c2dcc14, - 0x7c2c45d8, 0x7c2abf4f, - 0x7c29387a, 0x7c27b158, 0x7c2629ea, 0x7c24a22f, 0x7c231a28, 0x7c2191d4, - 0x7c200933, 0x7c1e8046, - 0x7c1cf70c, 0x7c1b6d86, 0x7c19e3b3, 0x7c185994, 0x7c16cf28, 0x7c15446f, - 0x7c13b96a, 0x7c122e19, - 0x7c10a27b, 0x7c0f1690, 0x7c0d8a59, 0x7c0bfdd5, 0x7c0a7105, 0x7c08e3e8, - 0x7c07567f, 0x7c05c8c9, - 0x7c043ac7, 0x7c02ac78, 0x7c011ddd, 0x7bff8ef5, 0x7bfdffc1, 0x7bfc7041, - 0x7bfae073, 0x7bf9505a, - 0x7bf7bff4, 0x7bf62f41, 0x7bf49e42, 0x7bf30cf6, 0x7bf17b5e, 0x7befe97a, - 0x7bee5749, 0x7becc4cc, - 0x7beb3202, 0x7be99eec, 0x7be80b89, 0x7be677da, 0x7be4e3df, 0x7be34f97, - 0x7be1bb02, 0x7be02621, - 0x7bde90f4, 0x7bdcfb7b, 0x7bdb65b5, 0x7bd9cfa2, 0x7bd83944, 0x7bd6a298, - 0x7bd50ba1, 0x7bd3745d, - 0x7bd1dccc, 0x7bd044f0, 0x7bceacc7, 0x7bcd1451, 0x7bcb7b8f, 0x7bc9e281, - 0x7bc84927, 0x7bc6af80, - 0x7bc5158c, 0x7bc37b4d, 0x7bc1e0c1, 0x7bc045e9, 0x7bbeaac4, 0x7bbd0f53, - 0x7bbb7396, 0x7bb9d78c, - 0x7bb83b36, 0x7bb69e94, 0x7bb501a5, 0x7bb3646a, 0x7bb1c6e3, 0x7bb02910, - 0x7bae8af0, 0x7bacec84, - 0x7bab4dcc, 0x7ba9aec7, 0x7ba80f76, 0x7ba66fd9, 0x7ba4cfef, 0x7ba32fba, - 0x7ba18f38, 0x7b9fee69, - 0x7b9e4d4f, 0x7b9cabe8, 0x7b9b0a35, 0x7b996836, 0x7b97c5ea, 0x7b962352, - 0x7b94806e, 0x7b92dd3e, - 0x7b9139c2, 0x7b8f95f9, 0x7b8df1e4, 0x7b8c4d83, 0x7b8aa8d6, 0x7b8903dc, - 0x7b875e96, 0x7b85b904, - 0x7b841326, 0x7b826cfc, 0x7b80c686, 0x7b7f1fc3, 0x7b7d78b4, 0x7b7bd159, - 0x7b7a29b2, 0x7b7881be, - 0x7b76d97f, 0x7b7530f3, 0x7b73881b, 0x7b71def7, 0x7b703587, 0x7b6e8bcb, - 0x7b6ce1c2, 0x7b6b376e, - 0x7b698ccd, 0x7b67e1e0, 0x7b6636a7, 0x7b648b22, 0x7b62df51, 0x7b613334, - 0x7b5f86ca, 0x7b5dda15, - 0x7b5c2d13, 0x7b5a7fc6, 0x7b58d22c, 0x7b572446, 0x7b557614, 0x7b53c796, - 0x7b5218cc, 0x7b5069b6, - 0x7b4eba53, 0x7b4d0aa5, 0x7b4b5aab, 0x7b49aa64, 0x7b47f9d2, 0x7b4648f3, - 0x7b4497c9, 0x7b42e652, - 0x7b413490, 0x7b3f8281, 0x7b3dd026, 0x7b3c1d80, 0x7b3a6a8d, 0x7b38b74e, - 0x7b3703c3, 0x7b354fed, - 0x7b339bca, 0x7b31e75b, 0x7b3032a0, 0x7b2e7d9a, 0x7b2cc847, 0x7b2b12a8, - 0x7b295cbe, 0x7b27a687, - 0x7b25f004, 0x7b243936, 0x7b22821b, 0x7b20cab5, 0x7b1f1302, 0x7b1d5b04, - 0x7b1ba2b9, 0x7b19ea23, - 0x7b183141, 0x7b167813, 0x7b14be99, 0x7b1304d3, 0x7b114ac1, 0x7b0f9063, - 0x7b0dd5b9, 0x7b0c1ac4, - 0x7b0a5f82, 0x7b08a3f5, 0x7b06e81b, 0x7b052bf6, 0x7b036f85, 0x7b01b2c8, - 0x7afff5bf, 0x7afe386a, - 0x7afc7aca, 0x7afabcdd, 0x7af8fea5, 0x7af74021, 0x7af58151, 0x7af3c235, - 0x7af202cd, 0x7af0431a, - 0x7aee831a, 0x7aecc2cf, 0x7aeb0238, 0x7ae94155, 0x7ae78026, 0x7ae5beac, - 0x7ae3fce6, 0x7ae23ad4, - 0x7ae07876, 0x7adeb5cc, 0x7adcf2d6, 0x7adb2f95, 0x7ad96c08, 0x7ad7a82f, - 0x7ad5e40a, 0x7ad41f9a, - 0x7ad25ade, 0x7ad095d6, 0x7aced082, 0x7acd0ae3, 0x7acb44f8, 0x7ac97ec1, - 0x7ac7b83e, 0x7ac5f170, - 0x7ac42a55, 0x7ac262ef, 0x7ac09b3e, 0x7abed341, 0x7abd0af7, 0x7abb4263, - 0x7ab97982, 0x7ab7b056, - 0x7ab5e6de, 0x7ab41d1b, 0x7ab2530b, 0x7ab088b0, 0x7aaebe0a, 0x7aacf318, - 0x7aab27da, 0x7aa95c50, - 0x7aa7907b, 0x7aa5c45a, 0x7aa3f7ed, 0x7aa22b35, 0x7aa05e31, 0x7a9e90e1, - 0x7a9cc346, 0x7a9af55f, - 0x7a99272d, 0x7a9758af, 0x7a9589e5, 0x7a93bad0, 0x7a91eb6f, 0x7a901bc2, - 0x7a8e4bca, 0x7a8c7b87, - 0x7a8aaaf7, 0x7a88da1c, 0x7a8708f6, 0x7a853784, 0x7a8365c6, 0x7a8193bd, - 0x7a7fc168, 0x7a7deec8, - 0x7a7c1bdc, 0x7a7a48a4, 0x7a787521, 0x7a76a153, 0x7a74cd38, 0x7a72f8d3, - 0x7a712422, 0x7a6f4f25, - 0x7a6d79dd, 0x7a6ba449, 0x7a69ce6a, 0x7a67f83f, 0x7a6621c9, 0x7a644b07, - 0x7a6273fa, 0x7a609ca1, - 0x7a5ec4fc, 0x7a5ced0d, 0x7a5b14d1, 0x7a593c4b, 0x7a576379, 0x7a558a5b, - 0x7a53b0f2, 0x7a51d73d, - 0x7a4ffd3d, 0x7a4e22f2, 0x7a4c485b, 0x7a4a6d78, 0x7a48924b, 0x7a46b6d1, - 0x7a44db0d, 0x7a42fefd, - 0x7a4122a1, 0x7a3f45fa, 0x7a3d6908, 0x7a3b8bca, 0x7a39ae41, 0x7a37d06d, - 0x7a35f24d, 0x7a3413e2, - 0x7a32352b, 0x7a305629, 0x7a2e76dc, 0x7a2c9743, 0x7a2ab75f, 0x7a28d72f, - 0x7a26f6b4, 0x7a2515ee, - 0x7a2334dd, 0x7a215380, 0x7a1f71d7, 0x7a1d8fe4, 0x7a1bada5, 0x7a19cb1b, - 0x7a17e845, 0x7a160524, - 0x7a1421b8, 0x7a123e01, 0x7a1059fe, 0x7a0e75b0, 0x7a0c9117, 0x7a0aac32, - 0x7a08c702, 0x7a06e187, - 0x7a04fbc1, 0x7a0315af, 0x7a012f52, 0x79ff48aa, 0x79fd61b6, 0x79fb7a77, - 0x79f992ed, 0x79f7ab18, - 0x79f5c2f8, 0x79f3da8c, 0x79f1f1d5, 0x79f008d3, 0x79ee1f86, 0x79ec35ed, - 0x79ea4c09, 0x79e861da, - 0x79e67760, 0x79e48c9b, 0x79e2a18a, 0x79e0b62e, 0x79deca87, 0x79dcde95, - 0x79daf258, 0x79d905d0, - 0x79d718fc, 0x79d52bdd, 0x79d33e73, 0x79d150be, 0x79cf62be, 0x79cd7473, - 0x79cb85dc, 0x79c996fb, - 0x79c7a7ce, 0x79c5b856, 0x79c3c893, 0x79c1d885, 0x79bfe82c, 0x79bdf788, - 0x79bc0698, 0x79ba155e, - 0x79b823d8, 0x79b63207, 0x79b43fec, 0x79b24d85, 0x79b05ad3, 0x79ae67d6, - 0x79ac748e, 0x79aa80fb, - 0x79a88d1d, 0x79a698f4, 0x79a4a480, 0x79a2afc1, 0x79a0bab6, 0x799ec561, - 0x799ccfc1, 0x799ad9d5, - 0x7998e39f, 0x7996ed1e, 0x7994f651, 0x7992ff3a, 0x799107d8, 0x798f102a, - 0x798d1832, 0x798b1fef, - 0x79892761, 0x79872e87, 0x79853563, 0x79833bf4, 0x7981423a, 0x797f4835, - 0x797d4de5, 0x797b534a, - 0x79795864, 0x79775d33, 0x797561b8, 0x797365f1, 0x797169df, 0x796f6d83, - 0x796d70dc, 0x796b73e9, - 0x796976ac, 0x79677924, 0x79657b51, 0x79637d33, 0x79617eca, 0x795f8017, - 0x795d8118, 0x795b81cf, - 0x7959823b, 0x7957825c, 0x79558232, 0x795381bd, 0x795180fe, 0x794f7ff3, - 0x794d7e9e, 0x794b7cfe, - 0x79497b13, 0x794778dd, 0x7945765d, 0x79437391, 0x7941707b, 0x793f6d1a, - 0x793d696f, 0x793b6578, - 0x79396137, 0x79375cab, 0x793557d4, 0x793352b2, 0x79314d46, 0x792f478f, - 0x792d418d, 0x792b3b40, - 0x792934a9, 0x79272dc7, 0x7925269a, 0x79231f22, 0x79211760, 0x791f0f53, - 0x791d06fb, 0x791afe59, - 0x7918f56c, 0x7916ec34, 0x7914e2b2, 0x7912d8e4, 0x7910cecc, 0x790ec46a, - 0x790cb9bd, 0x790aaec5, - 0x7908a382, 0x790697f5, 0x79048c1d, 0x79027ffa, 0x7900738d, 0x78fe66d5, - 0x78fc59d3, 0x78fa4c86, - 0x78f83eee, 0x78f6310c, 0x78f422df, 0x78f21467, 0x78f005a5, 0x78edf698, - 0x78ebe741, 0x78e9d79f, - 0x78e7c7b2, 0x78e5b77b, 0x78e3a6f9, 0x78e1962d, 0x78df8516, 0x78dd73b5, - 0x78db6209, 0x78d95012, - 0x78d73dd1, 0x78d52b46, 0x78d31870, 0x78d1054f, 0x78cef1e4, 0x78ccde2e, - 0x78caca2e, 0x78c8b5e3, - 0x78c6a14e, 0x78c48c6e, 0x78c27744, 0x78c061cf, 0x78be4c10, 0x78bc3606, - 0x78ba1fb2, 0x78b80913, - 0x78b5f22a, 0x78b3daf7, 0x78b1c379, 0x78afabb0, 0x78ad939d, 0x78ab7b40, - 0x78a96298, 0x78a749a6, - 0x78a53069, 0x78a316e2, 0x78a0fd11, 0x789ee2f5, 0x789cc88f, 0x789aadde, - 0x789892e3, 0x7896779d, - 0x78945c0d, 0x78924033, 0x7890240e, 0x788e07a0, 0x788beae6, 0x7889cde2, - 0x7887b094, 0x788592fc, - 0x78837519, 0x788156ec, 0x787f3875, 0x787d19b3, 0x787afaa7, 0x7878db50, - 0x7876bbb0, 0x78749bc5, - 0x78727b8f, 0x78705b10, 0x786e3a46, 0x786c1932, 0x7869f7d3, 0x7867d62a, - 0x7865b437, 0x786391fa, - 0x78616f72, 0x785f4ca1, 0x785d2984, 0x785b061e, 0x7858e26e, 0x7856be73, - 0x78549a2e, 0x7852759e, - 0x785050c5, 0x784e2ba1, 0x784c0633, 0x7849e07b, 0x7847ba79, 0x7845942c, - 0x78436d96, 0x784146b5, - 0x783f1f8a, 0x783cf815, 0x783ad055, 0x7838a84c, 0x78367ff8, 0x7834575a, - 0x78322e72, 0x78300540, - 0x782ddbc4, 0x782bb1fd, 0x782987ed, 0x78275d92, 0x782532ed, 0x782307fe, - 0x7820dcc5, 0x781eb142, - 0x781c8575, 0x781a595d, 0x78182cfc, 0x78160051, 0x7813d35b, 0x7811a61b, - 0x780f7892, 0x780d4abe, - 0x780b1ca0, 0x7808ee38, 0x7806bf86, 0x7804908a, 0x78026145, 0x780031b5, - 0x77fe01db, 0x77fbd1b6, - 0x77f9a148, 0x77f77090, 0x77f53f8e, 0x77f30e42, 0x77f0dcac, 0x77eeaacc, - 0x77ec78a2, 0x77ea462e, - 0x77e81370, 0x77e5e068, 0x77e3ad17, 0x77e1797b, 0x77df4595, 0x77dd1165, - 0x77dadcec, 0x77d8a828, - 0x77d6731a, 0x77d43dc3, 0x77d20822, 0x77cfd236, 0x77cd9c01, 0x77cb6582, - 0x77c92eb9, 0x77c6f7a6, - 0x77c4c04a, 0x77c288a3, 0x77c050b2, 0x77be1878, 0x77bbdff4, 0x77b9a726, - 0x77b76e0e, 0x77b534ac, - 0x77b2fb00, 0x77b0c10b, 0x77ae86cc, 0x77ac4c43, 0x77aa1170, 0x77a7d653, - 0x77a59aec, 0x77a35f3c, - 0x77a12342, 0x779ee6fe, 0x779caa70, 0x779a6d99, 0x77983077, 0x7795f30c, - 0x7793b557, 0x77917759, - 0x778f3910, 0x778cfa7e, 0x778abba2, 0x77887c7d, 0x77863d0d, 0x7783fd54, - 0x7781bd52, 0x777f7d05, - 0x777d3c6f, 0x777afb8f, 0x7778ba65, 0x777678f2, 0x77743735, 0x7771f52e, - 0x776fb2de, 0x776d7044, - 0x776b2d60, 0x7768ea33, 0x7766a6bc, 0x776462fb, 0x77621ef1, 0x775fda9d, - 0x775d95ff, 0x775b5118, - 0x77590be7, 0x7756c66c, 0x775480a8, 0x77523a9b, 0x774ff443, 0x774dada2, - 0x774b66b8, 0x77491f84, - 0x7746d806, 0x7744903f, 0x7742482e, 0x773fffd4, 0x773db730, 0x773b6e42, - 0x7739250b, 0x7736db8b, - 0x773491c0, 0x773247ad, 0x772ffd50, 0x772db2a9, 0x772b67b9, 0x77291c7f, - 0x7726d0fc, 0x7724852f, - 0x77223919, 0x771fecb9, 0x771da010, 0x771b531d, 0x771905e1, 0x7716b85b, - 0x77146a8c, 0x77121c74, - 0x770fce12, 0x770d7f66, 0x770b3072, 0x7708e133, 0x770691ab, 0x770441da, - 0x7701f1c0, 0x76ffa15c, - 0x76fd50ae, 0x76faffb8, 0x76f8ae78, 0x76f65cee, 0x76f40b1b, 0x76f1b8ff, - 0x76ef6699, 0x76ed13ea, - 0x76eac0f2, 0x76e86db0, 0x76e61a25, 0x76e3c650, 0x76e17233, 0x76df1dcb, - 0x76dcc91b, 0x76da7421, - 0x76d81ede, 0x76d5c952, 0x76d3737c, 0x76d11d5d, 0x76cec6f5, 0x76cc7043, - 0x76ca1948, 0x76c7c204, - 0x76c56a77, 0x76c312a0, 0x76c0ba80, 0x76be6217, 0x76bc0965, 0x76b9b069, - 0x76b75724, 0x76b4fd96, - 0x76b2a3bf, 0x76b0499e, 0x76adef34, 0x76ab9481, 0x76a93985, 0x76a6de40, - 0x76a482b1, 0x76a226da, - 0x769fcab9, 0x769d6e4f, 0x769b119b, 0x7698b49f, 0x76965759, 0x7693f9ca, - 0x76919bf3, 0x768f3dd2, - 0x768cdf67, 0x768a80b4, 0x768821b8, 0x7685c272, 0x768362e4, 0x7681030c, - 0x767ea2eb, 0x767c4281, - 0x7679e1ce, 0x767780d2, 0x76751f8d, 0x7672bdfe, 0x76705c27, 0x766dfa07, - 0x766b979d, 0x766934eb, - 0x7666d1ef, 0x76646eab, 0x76620b1d, 0x765fa747, 0x765d4327, 0x765adebe, - 0x76587a0d, 0x76561512, - 0x7653afce, 0x76514a42, 0x764ee46c, 0x764c7e4d, 0x764a17e6, 0x7647b135, - 0x76454a3c, 0x7642e2f9, - 0x76407b6e, 0x763e139a, 0x763bab7c, 0x76394316, 0x7636da67, 0x7634716f, - 0x7632082e, 0x762f9ea4, - 0x762d34d1, 0x762acab6, 0x76286051, 0x7625f5a3, 0x76238aad, 0x76211f6e, - 0x761eb3e6, 0x761c4815, - 0x7619dbfb, 0x76176f98, 0x761502ed, 0x761295f9, 0x761028bb, 0x760dbb35, - 0x760b4d67, 0x7608df4f, - 0x760670ee, 0x76040245, 0x76019353, 0x75ff2418, 0x75fcb495, 0x75fa44c8, - 0x75f7d4b3, 0x75f56455, - 0x75f2f3ae, 0x75f082bf, 0x75ee1187, 0x75eba006, 0x75e92e3c, 0x75e6bc2a, - 0x75e449ce, 0x75e1d72b, - 0x75df643e, 0x75dcf109, 0x75da7d8b, 0x75d809c4, 0x75d595b4, 0x75d3215c, - 0x75d0acbc, 0x75ce37d2, - 0x75cbc2a0, 0x75c94d25, 0x75c6d762, 0x75c46156, 0x75c1eb01, 0x75bf7464, - 0x75bcfd7e, 0x75ba864f, - 0x75b80ed8, 0x75b59718, 0x75b31f0f, 0x75b0a6be, 0x75ae2e25, 0x75abb542, - 0x75a93c18, 0x75a6c2a4, - 0x75a448e8, 0x75a1cee4, 0x759f5496, 0x759cda01, 0x759a5f22, 0x7597e3fc, - 0x7595688c, 0x7592ecd4, - 0x759070d4, 0x758df48b, 0x758b77fa, 0x7588fb20, 0x75867dfd, 0x75840093, - 0x758182df, 0x757f04e3, - 0x757c869f, 0x757a0812, 0x7577893d, 0x75750a1f, 0x75728ab9, 0x75700b0a, - 0x756d8b13, 0x756b0ad3, - 0x75688a4b, 0x7566097b, 0x75638862, 0x75610701, 0x755e8557, 0x755c0365, - 0x7559812b, 0x7556fea8, - 0x75547bdd, 0x7551f8c9, 0x754f756e, 0x754cf1c9, 0x754a6ddd, 0x7547e9a8, - 0x7545652a, 0x7542e065, - 0x75405b57, 0x753dd600, 0x753b5061, 0x7538ca7b, 0x7536444b, 0x7533bdd4, - 0x75313714, 0x752eb00c, - 0x752c28bb, 0x7529a122, 0x75271941, 0x75249118, 0x752208a7, 0x751f7fed, - 0x751cf6eb, 0x751a6da0, - 0x7517e40e, 0x75155a33, 0x7512d010, 0x751045a5, 0x750dbaf2, 0x750b2ff6, - 0x7508a4b2, 0x75061926, - 0x75038d52, 0x75010136, 0x74fe74d1, 0x74fbe825, 0x74f95b30, 0x74f6cdf3, - 0x74f4406d, 0x74f1b2a0, - 0x74ef248b, 0x74ec962d, 0x74ea0787, 0x74e7789a, 0x74e4e964, 0x74e259e6, - 0x74dfca20, 0x74dd3a11, - 0x74daa9bb, 0x74d8191d, 0x74d58836, 0x74d2f708, 0x74d06591, 0x74cdd3d2, - 0x74cb41cc, 0x74c8af7d, - 0x74c61ce6, 0x74c38a07, 0x74c0f6e0, 0x74be6372, 0x74bbcfbb, 0x74b93bbc, - 0x74b6a775, 0x74b412e6, - 0x74b17e0f, 0x74aee8f0, 0x74ac5389, 0x74a9bddb, 0x74a727e4, 0x74a491a5, - 0x74a1fb1e, 0x749f6450, - 0x749ccd39, 0x749a35db, 0x74979e34, 0x74950646, 0x74926e10, 0x748fd592, - 0x748d3ccb, 0x748aa3be, - 0x74880a68, 0x748570ca, 0x7482d6e4, 0x74803cb7, 0x747da242, 0x747b0784, - 0x74786c7f, 0x7475d132, - 0x7473359e, 0x747099c1, 0x746dfd9d, 0x746b6131, 0x7468c47c, 0x74662781, - 0x74638a3d, 0x7460ecb2, - 0x745e4ede, 0x745bb0c3, 0x74591261, 0x745673b6, 0x7453d4c4, 0x7451358a, - 0x744e9608, 0x744bf63e, - 0x7449562d, 0x7446b5d4, 0x74441533, 0x7441744b, 0x743ed31b, 0x743c31a3, - 0x74398fe3, 0x7436eddc, - 0x74344b8d, 0x7431a8f6, 0x742f0618, 0x742c62f2, 0x7429bf84, 0x74271bcf, - 0x742477d2, 0x7421d38e, - 0x741f2f01, 0x741c8a2d, 0x7419e512, 0x74173faf, 0x74149a04, 0x7411f412, - 0x740f4dd8, 0x740ca756, - 0x740a008d, 0x7407597d, 0x7404b224, 0x74020a85, 0x73ff629d, 0x73fcba6e, - 0x73fa11f8, 0x73f7693a, - 0x73f4c034, 0x73f216e7, 0x73ef6d53, 0x73ecc377, 0x73ea1953, 0x73e76ee8, - 0x73e4c435, 0x73e2193b, - 0x73df6df9, 0x73dcc270, 0x73da16a0, 0x73d76a88, 0x73d4be28, 0x73d21182, - 0x73cf6493, 0x73ccb75d, - 0x73ca09e0, 0x73c75c1c, 0x73c4ae10, 0x73c1ffbc, 0x73bf5121, 0x73bca23f, - 0x73b9f315, 0x73b743a4, - 0x73b493ec, 0x73b1e3ec, 0x73af33a5, 0x73ac8316, 0x73a9d240, 0x73a72123, - 0x73a46fbf, 0x73a1be13, - 0x739f0c20, 0x739c59e5, 0x7399a763, 0x7396f49a, 0x73944189, 0x73918e32, - 0x738eda93, 0x738c26ac, - 0x7389727f, 0x7386be0a, 0x7384094e, 0x7381544a, 0x737e9f00, 0x737be96e, - 0x73793395, 0x73767d74, - 0x7373c70d, 0x7371105e, 0x736e5968, 0x736ba22b, 0x7368eaa6, 0x736632db, - 0x73637ac8, 0x7360c26e, - 0x735e09cd, 0x735b50e4, 0x735897b5, 0x7355de3e, 0x73532481, 0x73506a7c, - 0x734db030, 0x734af59d, - 0x73483ac2, 0x73457fa1, 0x7342c438, 0x73400889, 0x733d4c92, 0x733a9054, - 0x7337d3d0, 0x73351704, - 0x733259f1, 0x732f9c97, 0x732cdef6, 0x732a210d, 0x732762de, 0x7324a468, - 0x7321e5ab, 0x731f26a7, - 0x731c675b, 0x7319a7c9, 0x7316e7f0, 0x731427cf, 0x73116768, 0x730ea6ba, - 0x730be5c5, 0x73092489, - 0x73066306, 0x7303a13b, 0x7300df2a, 0x72fe1cd2, 0x72fb5a34, 0x72f8974e, - 0x72f5d421, 0x72f310ad, - 0x72f04cf3, 0x72ed88f1, 0x72eac4a9, 0x72e8001a, 0x72e53b44, 0x72e27627, - 0x72dfb0c3, 0x72dceb18, - 0x72da2526, 0x72d75eee, 0x72d4986f, 0x72d1d1a9, 0x72cf0a9c, 0x72cc4348, - 0x72c97bad, 0x72c6b3cc, - 0x72c3eba4, 0x72c12335, 0x72be5a7f, 0x72bb9183, 0x72b8c83f, 0x72b5feb5, - 0x72b334e4, 0x72b06acd, - 0x72ada06f, 0x72aad5c9, 0x72a80ade, 0x72a53fab, 0x72a27432, 0x729fa872, - 0x729cdc6b, 0x729a101e, - 0x7297438a, 0x729476af, 0x7291a98e, 0x728edc26, 0x728c0e77, 0x72894082, - 0x72867245, 0x7283a3c3, - 0x7280d4f9, 0x727e05e9, 0x727b3693, 0x727866f6, 0x72759712, 0x7272c6e7, - 0x726ff676, 0x726d25bf, - 0x726a54c1, 0x7267837c, 0x7264b1f0, 0x7261e01e, 0x725f0e06, 0x725c3ba7, - 0x72596901, 0x72569615, - 0x7253c2e3, 0x7250ef6a, 0x724e1baa, 0x724b47a4, 0x72487357, 0x72459ec4, - 0x7242c9ea, 0x723ff4ca, - 0x723d1f63, 0x723a49b6, 0x723773c3, 0x72349d89, 0x7231c708, 0x722ef041, - 0x722c1934, 0x722941e0, - 0x72266a46, 0x72239266, 0x7220ba3f, 0x721de1d1, 0x721b091d, 0x72183023, - 0x721556e3, 0x72127d5c, - 0x720fa38e, 0x720cc97b, 0x7209ef21, 0x72071480, 0x7204399a, 0x72015e6d, - 0x71fe82f9, 0x71fba740, - 0x71f8cb40, 0x71f5eefa, 0x71f3126d, 0x71f0359a, 0x71ed5881, 0x71ea7b22, - 0x71e79d7c, 0x71e4bf90, - 0x71e1e15e, 0x71df02e5, 0x71dc2427, 0x71d94522, 0x71d665d6, 0x71d38645, - 0x71d0a66d, 0x71cdc650, - 0x71cae5ec, 0x71c80542, 0x71c52451, 0x71c2431b, 0x71bf619e, 0x71bc7fdb, - 0x71b99dd2, 0x71b6bb83, - 0x71b3d8ed, 0x71b0f612, 0x71ae12f0, 0x71ab2f89, 0x71a84bdb, 0x71a567e7, - 0x71a283ad, 0x719f9f2c, - 0x719cba66, 0x7199d55a, 0x7196f008, 0x71940a6f, 0x71912490, 0x718e3e6c, - 0x718b5801, 0x71887151, - 0x71858a5a, 0x7182a31d, 0x717fbb9a, 0x717cd3d2, 0x7179ebc3, 0x7177036e, - 0x71741ad3, 0x717131f3, - 0x716e48cc, 0x716b5f5f, 0x716875ad, 0x71658bb4, 0x7162a175, 0x715fb6f1, - 0x715ccc26, 0x7159e116, - 0x7156f5c0, 0x71540a24, 0x71511e42, 0x714e321a, 0x714b45ac, 0x714858f8, - 0x71456bfe, 0x71427ebf, - 0x713f9139, 0x713ca36e, 0x7139b55d, 0x7136c706, 0x7133d869, 0x7130e987, - 0x712dfa5e, 0x712b0af0, - 0x71281b3c, 0x71252b42, 0x71223b02, 0x711f4a7d, 0x711c59b2, 0x711968a1, - 0x7116774a, 0x711385ad, - 0x711093cb, 0x710da1a3, 0x710aaf35, 0x7107bc82, 0x7104c989, 0x7101d64a, - 0x70fee2c5, 0x70fbeefb, - 0x70f8faeb, 0x70f60695, 0x70f311fa, 0x70f01d19, 0x70ed27f2, 0x70ea3286, - 0x70e73cd4, 0x70e446dc, - 0x70e1509f, 0x70de5a1c, 0x70db6353, 0x70d86c45, 0x70d574f1, 0x70d27d58, - 0x70cf8579, 0x70cc8d54, - 0x70c994ea, 0x70c69c3a, 0x70c3a345, 0x70c0aa0a, 0x70bdb08a, 0x70bab6c4, - 0x70b7bcb8, 0x70b4c267, - 0x70b1c7d1, 0x70aeccf5, 0x70abd1d3, 0x70a8d66c, 0x70a5dac0, 0x70a2dece, - 0x709fe296, 0x709ce619, - 0x7099e957, 0x7096ec4f, 0x7093ef01, 0x7090f16e, 0x708df396, 0x708af579, - 0x7087f715, 0x7084f86d, - 0x7081f97f, 0x707efa4c, 0x707bfad3, 0x7078fb15, 0x7075fb11, 0x7072fac9, - 0x706ffa3a, 0x706cf967, - 0x7069f84e, 0x7066f6f0, 0x7063f54c, 0x7060f363, 0x705df135, 0x705aeec1, - 0x7057ec08, 0x7054e90a, - 0x7051e5c7, 0x704ee23e, 0x704bde70, 0x7048da5d, 0x7045d604, 0x7042d166, - 0x703fcc83, 0x703cc75b, - 0x7039c1ed, 0x7036bc3b, 0x7033b643, 0x7030b005, 0x702da983, 0x702aa2bb, - 0x70279baf, 0x7024945d, - 0x70218cc6, 0x701e84e9, 0x701b7cc8, 0x70187461, 0x70156bb5, 0x701262c4, - 0x700f598e, 0x700c5013, - 0x70094653, 0x70063c4e, 0x70033203, 0x70002774, 0x6ffd1c9f, 0x6ffa1185, - 0x6ff70626, 0x6ff3fa82, - 0x6ff0ee99, 0x6fede26b, 0x6fead5f8, 0x6fe7c940, 0x6fe4bc43, 0x6fe1af01, - 0x6fdea17a, 0x6fdb93ae, - 0x6fd8859d, 0x6fd57746, 0x6fd268ab, 0x6fcf59cb, 0x6fcc4aa6, 0x6fc93b3c, - 0x6fc62b8d, 0x6fc31b99, - 0x6fc00b60, 0x6fbcfae2, 0x6fb9ea20, 0x6fb6d918, 0x6fb3c7cb, 0x6fb0b63a, - 0x6fada464, 0x6faa9248, - 0x6fa77fe8, 0x6fa46d43, 0x6fa15a59, 0x6f9e472b, 0x6f9b33b7, 0x6f981fff, - 0x6f950c01, 0x6f91f7bf, - 0x6f8ee338, 0x6f8bce6c, 0x6f88b95c, 0x6f85a407, 0x6f828e6c, 0x6f7f788d, - 0x6f7c626a, 0x6f794c01, - 0x6f763554, 0x6f731e62, 0x6f70072b, 0x6f6cefb0, 0x6f69d7f0, 0x6f66bfeb, - 0x6f63a7a1, 0x6f608f13, - 0x6f5d7640, 0x6f5a5d28, 0x6f5743cb, 0x6f542a2a, 0x6f511044, 0x6f4df61a, - 0x6f4adbab, 0x6f47c0f7, - 0x6f44a5ff, 0x6f418ac2, 0x6f3e6f40, 0x6f3b537a, 0x6f38376f, 0x6f351b1f, - 0x6f31fe8b, 0x6f2ee1b2, - 0x6f2bc495, 0x6f28a733, 0x6f25898d, 0x6f226ba2, 0x6f1f4d72, 0x6f1c2efe, - 0x6f191045, 0x6f15f148, - 0x6f12d206, 0x6f0fb280, 0x6f0c92b6, 0x6f0972a6, 0x6f065253, 0x6f0331ba, - 0x6f0010de, 0x6efcefbd, - 0x6ef9ce57, 0x6ef6acad, 0x6ef38abe, 0x6ef0688b, 0x6eed4614, 0x6eea2358, - 0x6ee70058, 0x6ee3dd13, - 0x6ee0b98a, 0x6edd95bd, 0x6eda71ab, 0x6ed74d55, 0x6ed428ba, 0x6ed103db, - 0x6ecddeb8, 0x6ecab950, - 0x6ec793a4, 0x6ec46db4, 0x6ec1477f, 0x6ebe2106, 0x6ebafa49, 0x6eb7d347, - 0x6eb4ac02, 0x6eb18477, - 0x6eae5ca9, 0x6eab3496, 0x6ea80c3f, 0x6ea4e3a4, 0x6ea1bac4, 0x6e9e91a1, - 0x6e9b6839, 0x6e983e8d, - 0x6e95149c, 0x6e91ea67, 0x6e8ebfef, 0x6e8b9532, 0x6e886a30, 0x6e853eeb, - 0x6e821361, 0x6e7ee794, - 0x6e7bbb82, 0x6e788f2c, 0x6e756291, 0x6e7235b3, 0x6e6f0890, 0x6e6bdb2a, - 0x6e68ad7f, 0x6e657f90, - 0x6e62515d, 0x6e5f22e6, 0x6e5bf42b, 0x6e58c52c, 0x6e5595e9, 0x6e526662, - 0x6e4f3696, 0x6e4c0687, - 0x6e48d633, 0x6e45a59c, 0x6e4274c1, 0x6e3f43a1, 0x6e3c123e, 0x6e38e096, - 0x6e35aeab, 0x6e327c7b, - 0x6e2f4a08, 0x6e2c1750, 0x6e28e455, 0x6e25b115, 0x6e227d92, 0x6e1f49cb, - 0x6e1c15c0, 0x6e18e171, - 0x6e15acde, 0x6e127807, 0x6e0f42ec, 0x6e0c0d8e, 0x6e08d7eb, 0x6e05a205, - 0x6e026bda, 0x6dff356c, - 0x6dfbfeba, 0x6df8c7c4, 0x6df5908b, 0x6df2590d, 0x6def214c, 0x6debe947, - 0x6de8b0fe, 0x6de57871, - 0x6de23fa0, 0x6ddf068c, 0x6ddbcd34, 0x6dd89398, 0x6dd559b9, 0x6dd21f95, - 0x6dcee52e, 0x6dcbaa83, - 0x6dc86f95, 0x6dc53462, 0x6dc1f8ec, 0x6dbebd33, 0x6dbb8135, 0x6db844f4, - 0x6db5086f, 0x6db1cba7, - 0x6dae8e9b, 0x6dab514b, 0x6da813b8, 0x6da4d5e1, 0x6da197c6, 0x6d9e5968, - 0x6d9b1ac6, 0x6d97dbe0, - 0x6d949cb7, 0x6d915d4a, 0x6d8e1d9a, 0x6d8adda6, 0x6d879d6e, 0x6d845cf3, - 0x6d811c35, 0x6d7ddb33, - 0x6d7a99ed, 0x6d775864, 0x6d741697, 0x6d70d487, 0x6d6d9233, 0x6d6a4f9c, - 0x6d670cc1, 0x6d63c9a3, - 0x6d608641, 0x6d5d429c, 0x6d59feb3, 0x6d56ba87, 0x6d537617, 0x6d503164, - 0x6d4cec6e, 0x6d49a734, - 0x6d4661b7, 0x6d431bf6, 0x6d3fd5f2, 0x6d3c8fab, 0x6d394920, 0x6d360252, - 0x6d32bb40, 0x6d2f73eb, - 0x6d2c2c53, 0x6d28e477, 0x6d259c58, 0x6d2253f6, 0x6d1f0b50, 0x6d1bc267, - 0x6d18793b, 0x6d152fcc, - 0x6d11e619, 0x6d0e9c23, 0x6d0b51e9, 0x6d08076d, 0x6d04bcad, 0x6d0171aa, - 0x6cfe2663, 0x6cfadada, - 0x6cf78f0d, 0x6cf442fd, 0x6cf0f6aa, 0x6cedaa13, 0x6cea5d3a, 0x6ce7101d, - 0x6ce3c2bd, 0x6ce0751a, - 0x6cdd2733, 0x6cd9d90a, 0x6cd68a9d, 0x6cd33bed, 0x6ccfecfa, 0x6ccc9dc4, - 0x6cc94e4b, 0x6cc5fe8f, - 0x6cc2ae90, 0x6cbf5e4d, 0x6cbc0dc8, 0x6cb8bcff, 0x6cb56bf4, 0x6cb21aa5, - 0x6caec913, 0x6cab773e, - 0x6ca82527, 0x6ca4d2cc, 0x6ca1802e, 0x6c9e2d4d, 0x6c9ada29, 0x6c9786c2, - 0x6c943318, 0x6c90df2c, - 0x6c8d8afc, 0x6c8a3689, 0x6c86e1d3, 0x6c838cdb, 0x6c80379f, 0x6c7ce220, - 0x6c798c5f, 0x6c76365b, - 0x6c72e013, 0x6c6f8989, 0x6c6c32bc, 0x6c68dbac, 0x6c658459, 0x6c622cc4, - 0x6c5ed4eb, 0x6c5b7cd0, - 0x6c582472, 0x6c54cbd1, 0x6c5172ed, 0x6c4e19c6, 0x6c4ac05d, 0x6c4766b0, - 0x6c440cc1, 0x6c40b28f, - 0x6c3d581b, 0x6c39fd63, 0x6c36a269, 0x6c33472c, 0x6c2febad, 0x6c2c8fea, - 0x6c2933e5, 0x6c25d79d, - 0x6c227b13, 0x6c1f1e45, 0x6c1bc136, 0x6c1863e3, 0x6c15064e, 0x6c11a876, - 0x6c0e4a5b, 0x6c0aebfe, - 0x6c078d5e, 0x6c042e7b, 0x6c00cf56, 0x6bfd6fee, 0x6bfa1044, 0x6bf6b056, - 0x6bf35027, 0x6befefb5, - 0x6bec8f00, 0x6be92e08, 0x6be5ccce, 0x6be26b52, 0x6bdf0993, 0x6bdba791, - 0x6bd8454d, 0x6bd4e2c6, - 0x6bd17ffd, 0x6bce1cf1, 0x6bcab9a3, 0x6bc75613, 0x6bc3f23f, 0x6bc08e2a, - 0x6bbd29d2, 0x6bb9c537, - 0x6bb6605a, 0x6bb2fb3b, 0x6baf95d9, 0x6bac3034, 0x6ba8ca4e, 0x6ba56425, - 0x6ba1fdb9, 0x6b9e970b, - 0x6b9b301b, 0x6b97c8e8, 0x6b946173, 0x6b90f9bc, 0x6b8d91c2, 0x6b8a2986, - 0x6b86c107, 0x6b835846, - 0x6b7fef43, 0x6b7c85fe, 0x6b791c76, 0x6b75b2ac, 0x6b7248a0, 0x6b6ede51, - 0x6b6b73c0, 0x6b6808ed, - 0x6b649dd8, 0x6b613280, 0x6b5dc6e6, 0x6b5a5b0a, 0x6b56eeec, 0x6b53828b, - 0x6b5015e9, 0x6b4ca904, - 0x6b493bdd, 0x6b45ce73, 0x6b4260c8, 0x6b3ef2da, 0x6b3b84ab, 0x6b381639, - 0x6b34a785, 0x6b31388e, - 0x6b2dc956, 0x6b2a59dc, 0x6b26ea1f, 0x6b237a21, 0x6b2009e0, 0x6b1c995d, - 0x6b192898, 0x6b15b791, - 0x6b124648, 0x6b0ed4bd, 0x6b0b62f0, 0x6b07f0e1, 0x6b047e90, 0x6b010bfd, - 0x6afd9928, 0x6afa2610, - 0x6af6b2b7, 0x6af33f1c, 0x6aefcb3f, 0x6aec5720, 0x6ae8e2bf, 0x6ae56e1c, - 0x6ae1f937, 0x6ade8410, - 0x6adb0ea8, 0x6ad798fd, 0x6ad42311, 0x6ad0ace2, 0x6acd3672, 0x6ac9bfc0, - 0x6ac648cb, 0x6ac2d195, - 0x6abf5a1e, 0x6abbe264, 0x6ab86a68, 0x6ab4f22b, 0x6ab179ac, 0x6aae00eb, - 0x6aaa87e8, 0x6aa70ea4, - 0x6aa3951d, 0x6aa01b55, 0x6a9ca14b, 0x6a992700, 0x6a95ac72, 0x6a9231a3, - 0x6a8eb692, 0x6a8b3b3f, - 0x6a87bfab, 0x6a8443d5, 0x6a80c7bd, 0x6a7d4b64, 0x6a79cec8, 0x6a7651ec, - 0x6a72d4cd, 0x6a6f576d, - 0x6a6bd9cb, 0x6a685be8, 0x6a64ddc2, 0x6a615f5c, 0x6a5de0b3, 0x6a5a61c9, - 0x6a56e29e, 0x6a536331, - 0x6a4fe382, 0x6a4c6391, 0x6a48e360, 0x6a4562ec, 0x6a41e237, 0x6a3e6140, - 0x6a3ae008, 0x6a375e8f, - 0x6a33dcd4, 0x6a305ad7, 0x6a2cd899, 0x6a295619, 0x6a25d358, 0x6a225055, - 0x6a1ecd11, 0x6a1b498c, - 0x6a17c5c5, 0x6a1441bc, 0x6a10bd72, 0x6a0d38e7, 0x6a09b41a, 0x6a062f0c, - 0x6a02a9bc, 0x69ff242b, - 0x69fb9e59, 0x69f81845, 0x69f491f0, 0x69f10b5a, 0x69ed8482, 0x69e9fd69, - 0x69e6760f, 0x69e2ee73, - 0x69df6696, 0x69dbde77, 0x69d85618, 0x69d4cd77, 0x69d14494, 0x69cdbb71, - 0x69ca320c, 0x69c6a866, - 0x69c31e7f, 0x69bf9456, 0x69bc09ec, 0x69b87f41, 0x69b4f455, 0x69b16928, - 0x69adddb9, 0x69aa5209, - 0x69a6c618, 0x69a339e6, 0x699fad73, 0x699c20be, 0x699893c9, 0x69950692, - 0x6991791a, 0x698deb61, - 0x698a5d67, 0x6986cf2c, 0x698340af, 0x697fb1f2, 0x697c22f3, 0x697893b4, - 0x69750433, 0x69717472, - 0x696de46f, 0x696a542b, 0x6966c3a6, 0x696332e1, 0x695fa1da, 0x695c1092, - 0x69587f09, 0x6954ed40, - 0x69515b35, 0x694dc8e9, 0x694a365c, 0x6946a38f, 0x69431080, 0x693f7d31, - 0x693be9a0, 0x693855cf, - 0x6934c1bd, 0x69312d6a, 0x692d98d6, 0x692a0401, 0x69266eeb, 0x6922d995, - 0x691f43fd, 0x691bae25, - 0x6918180c, 0x691481b2, 0x6910eb17, 0x690d543b, 0x6909bd1f, 0x690625c2, - 0x69028e24, 0x68fef645, - 0x68fb5e25, 0x68f7c5c5, 0x68f42d24, 0x68f09442, 0x68ecfb20, 0x68e961bd, - 0x68e5c819, 0x68e22e34, - 0x68de940f, 0x68daf9a9, 0x68d75f02, 0x68d3c41b, 0x68d028f2, 0x68cc8d8a, - 0x68c8f1e0, 0x68c555f6, - 0x68c1b9cc, 0x68be1d61, 0x68ba80b5, 0x68b6e3c8, 0x68b3469b, 0x68afa92e, - 0x68ac0b7f, 0x68a86d91, - 0x68a4cf61, 0x68a130f1, 0x689d9241, 0x6899f350, 0x6896541f, 0x6892b4ad, - 0x688f14fa, 0x688b7507, - 0x6887d4d4, 0x68843460, 0x688093ab, 0x687cf2b6, 0x68795181, 0x6875b00b, - 0x68720e55, 0x686e6c5e, - 0x686aca27, 0x686727b0, 0x686384f8, 0x685fe200, 0x685c3ec7, 0x68589b4e, - 0x6854f795, 0x6851539b, - 0x684daf61, 0x684a0ae6, 0x6846662c, 0x6842c131, 0x683f1bf5, 0x683b7679, - 0x6837d0bd, 0x68342ac1, - 0x68308485, 0x682cde08, 0x6829374b, 0x6825904d, 0x6821e910, 0x681e4192, - 0x681a99d4, 0x6816f1d6, - 0x68134997, 0x680fa118, 0x680bf85a, 0x68084f5a, 0x6804a61b, 0x6800fc9c, - 0x67fd52dc, 0x67f9a8dd, - 0x67f5fe9d, 0x67f2541d, 0x67eea95d, 0x67eafe5d, 0x67e7531c, 0x67e3a79c, - 0x67dffbdc, 0x67dc4fdb, - 0x67d8a39a, 0x67d4f71a, 0x67d14a59, 0x67cd9d58, 0x67c9f017, 0x67c64297, - 0x67c294d6, 0x67bee6d5, - 0x67bb3894, 0x67b78a13, 0x67b3db53, 0x67b02c52, 0x67ac7d11, 0x67a8cd91, - 0x67a51dd0, 0x67a16dcf, - 0x679dbd8f, 0x679a0d0f, 0x67965c4e, 0x6792ab4e, 0x678efa0e, 0x678b488e, - 0x678796ce, 0x6783e4cf, - 0x6780328f, 0x677c8010, 0x6778cd50, 0x67751a51, 0x67716713, 0x676db394, - 0x6769ffd5, 0x67664bd7, - 0x67629799, 0x675ee31b, 0x675b2e5e, 0x67577960, 0x6753c423, 0x67500ea7, - 0x674c58ea, 0x6748a2ee, - 0x6744ecb2, 0x67413636, 0x673d7f7b, 0x6739c880, 0x67361145, 0x673259ca, - 0x672ea210, 0x672aea17, - 0x672731dd, 0x67237964, 0x671fc0ac, 0x671c07b4, 0x67184e7c, 0x67149504, - 0x6710db4d, 0x670d2157, - 0x67096721, 0x6705acab, 0x6701f1f6, 0x66fe3701, 0x66fa7bcd, 0x66f6c059, - 0x66f304a6, 0x66ef48b3, - 0x66eb8c80, 0x66e7d00f, 0x66e4135d, 0x66e0566c, 0x66dc993c, 0x66d8dbcd, - 0x66d51e1d, 0x66d1602f, - 0x66cda201, 0x66c9e393, 0x66c624e7, 0x66c265fa, 0x66bea6cf, 0x66bae764, - 0x66b727ba, 0x66b367d0, - 0x66afa7a7, 0x66abe73f, 0x66a82697, 0x66a465b0, 0x66a0a489, 0x669ce324, - 0x6699217f, 0x66955f9b, - 0x66919d77, 0x668ddb14, 0x668a1872, 0x66865591, 0x66829270, 0x667ecf11, - 0x667b0b72, 0x66774793, - 0x66738376, 0x666fbf19, 0x666bfa7d, 0x666835a2, 0x66647088, 0x6660ab2f, - 0x665ce596, 0x66591fbf, - 0x665559a8, 0x66519352, 0x664dccbd, 0x664a05e9, 0x66463ed6, 0x66427784, - 0x663eaff2, 0x663ae822, - 0x66372012, 0x663357c4, 0x662f8f36, 0x662bc66a, 0x6627fd5e, 0x66243413, - 0x66206a8a, 0x661ca0c1, - 0x6618d6b9, 0x66150c73, 0x661141ed, 0x660d7729, 0x6609ac25, 0x6605e0e3, - 0x66021561, 0x65fe49a1, - 0x65fa7da2, 0x65f6b164, 0x65f2e4e7, 0x65ef182b, 0x65eb4b30, 0x65e77df6, - 0x65e3b07e, 0x65dfe2c6, - 0x65dc14d0, 0x65d8469b, 0x65d47827, 0x65d0a975, 0x65ccda83, 0x65c90b53, - 0x65c53be4, 0x65c16c36, - 0x65bd9c49, 0x65b9cc1e, 0x65b5fbb4, 0x65b22b0b, 0x65ae5a23, 0x65aa88fd, - 0x65a6b798, 0x65a2e5f4, - 0x659f1412, 0x659b41f1, 0x65976f91, 0x65939cf3, 0x658fca15, 0x658bf6fa, - 0x6588239f, 0x65845006, - 0x65807c2f, 0x657ca818, 0x6578d3c4, 0x6574ff30, 0x65712a5e, 0x656d554d, - 0x65697ffe, 0x6565aa71, - 0x6561d4a4, 0x655dfe99, 0x655a2850, 0x655651c8, 0x65527b02, 0x654ea3fd, - 0x654accba, 0x6546f538, - 0x65431d77, 0x653f4579, 0x653b6d3b, 0x653794c0, 0x6533bc06, 0x652fe30d, - 0x652c09d6, 0x65283061, - 0x652456ad, 0x65207cbb, 0x651ca28a, 0x6518c81b, 0x6514ed6e, 0x65111283, - 0x650d3759, 0x65095bf0, - 0x6505804a, 0x6501a465, 0x64fdc841, 0x64f9ebe0, 0x64f60f40, 0x64f23262, - 0x64ee5546, 0x64ea77eb, - 0x64e69a52, 0x64e2bc7b, 0x64dede66, 0x64db0012, 0x64d72180, 0x64d342b0, - 0x64cf63a2, 0x64cb8456, - 0x64c7a4cb, 0x64c3c502, 0x64bfe4fc, 0x64bc04b6, 0x64b82433, 0x64b44372, - 0x64b06273, 0x64ac8135, - 0x64a89fba, 0x64a4be00, 0x64a0dc08, 0x649cf9d2, 0x6499175e, 0x649534ac, - 0x649151bc, 0x648d6e8e, - 0x64898b22, 0x6485a778, 0x6481c390, 0x647ddf6a, 0x6479fb06, 0x64761664, - 0x64723184, 0x646e4c66, - 0x646a670a, 0x64668170, 0x64629b98, 0x645eb582, 0x645acf2e, 0x6456e89d, - 0x645301cd, 0x644f1ac0, - 0x644b3375, 0x64474bec, 0x64436425, 0x643f7c20, 0x643b93dd, 0x6437ab5d, - 0x6433c29f, 0x642fd9a3, - 0x642bf069, 0x642806f1, 0x64241d3c, 0x64203348, 0x641c4917, 0x64185ea9, - 0x641473fc, 0x64108912, - 0x640c9dea, 0x6408b284, 0x6404c6e1, 0x6400db00, 0x63fceee1, 0x63f90285, - 0x63f515eb, 0x63f12913, - 0x63ed3bfd, 0x63e94eaa, 0x63e5611a, 0x63e1734b, 0x63dd853f, 0x63d996f6, - 0x63d5a86f, 0x63d1b9aa, - 0x63cdcaa8, 0x63c9db68, 0x63c5ebeb, 0x63c1fc30, 0x63be0c37, 0x63ba1c01, - 0x63b62b8e, 0x63b23add, - 0x63ae49ee, 0x63aa58c2, 0x63a66759, 0x63a275b2, 0x639e83cd, 0x639a91ac, - 0x63969f4c, 0x6392acaf, - 0x638eb9d5, 0x638ac6be, 0x6386d369, 0x6382dfd6, 0x637eec07, 0x637af7fa, - 0x637703af, 0x63730f27, - 0x636f1a62, 0x636b2560, 0x63673020, 0x63633aa3, 0x635f44e8, 0x635b4ef0, - 0x635758bb, 0x63536249, - 0x634f6b99, 0x634b74ad, 0x63477d82, 0x6343861b, 0x633f8e76, 0x633b9695, - 0x63379e76, 0x6333a619, - 0x632fad80, 0x632bb4a9, 0x6327bb96, 0x6323c245, 0x631fc8b7, 0x631bceeb, - 0x6317d4e3, 0x6313da9e, - 0x630fe01b, 0x630be55b, 0x6307ea5e, 0x6303ef25, 0x62fff3ae, 0x62fbf7fa, - 0x62f7fc08, 0x62f3ffda, - 0x62f0036f, 0x62ec06c7, 0x62e809e2, 0x62e40cbf, 0x62e00f60, 0x62dc11c4, - 0x62d813eb, 0x62d415d4, - 0x62d01781, 0x62cc18f1, 0x62c81a24, 0x62c41b1a, 0x62c01bd3, 0x62bc1c4f, - 0x62b81c8f, 0x62b41c91, - 0x62b01c57, 0x62ac1bdf, 0x62a81b2b, 0x62a41a3a, 0x62a0190c, 0x629c17a1, - 0x629815fa, 0x62941415, - 0x629011f4, 0x628c0f96, 0x62880cfb, 0x62840a23, 0x6280070f, 0x627c03be, - 0x62780030, 0x6273fc65, - 0x626ff85e, 0x626bf41a, 0x6267ef99, 0x6263eadc, 0x625fe5e1, 0x625be0ab, - 0x6257db37, 0x6253d587, - 0x624fcf9a, 0x624bc970, 0x6247c30a, 0x6243bc68, 0x623fb588, 0x623bae6c, - 0x6237a714, 0x62339f7e, - 0x622f97ad, 0x622b8f9e, 0x62278754, 0x62237ecc, 0x621f7608, 0x621b6d08, - 0x621763cb, 0x62135a51, - 0x620f509b, 0x620b46a9, 0x62073c7a, 0x6203320e, 0x61ff2766, 0x61fb1c82, - 0x61f71161, 0x61f30604, - 0x61eefa6b, 0x61eaee95, 0x61e6e282, 0x61e2d633, 0x61dec9a8, 0x61dabce0, - 0x61d6afdd, 0x61d2a29c, - 0x61ce9520, 0x61ca8767, 0x61c67971, 0x61c26b40, 0x61be5cd2, 0x61ba4e28, - 0x61b63f41, 0x61b2301e, - 0x61ae20bf, 0x61aa1124, 0x61a6014d, 0x61a1f139, 0x619de0e9, 0x6199d05d, - 0x6195bf94, 0x6191ae90, - 0x618d9d4f, 0x61898bd2, 0x61857a19, 0x61816824, 0x617d55f2, 0x61794385, - 0x617530db, 0x61711df5, - 0x616d0ad3, 0x6168f775, 0x6164e3db, 0x6160d005, 0x615cbbf3, 0x6158a7a4, - 0x6154931a, 0x61507e54, - 0x614c6951, 0x61485413, 0x61443e98, 0x614028e2, 0x613c12f0, 0x6137fcc1, - 0x6133e657, 0x612fcfb0, - 0x612bb8ce, 0x6127a1b0, 0x61238a56, 0x611f72c0, 0x611b5aee, 0x611742e0, - 0x61132a96, 0x610f1210, - 0x610af94f, 0x6106e051, 0x6102c718, 0x60feada3, 0x60fa93f2, 0x60f67a05, - 0x60f25fdd, 0x60ee4579, - 0x60ea2ad8, 0x60e60ffd, 0x60e1f4e5, 0x60ddd991, 0x60d9be02, 0x60d5a237, - 0x60d18631, 0x60cd69ee, - 0x60c94d70, 0x60c530b6, 0x60c113c1, 0x60bcf690, 0x60b8d923, 0x60b4bb7a, - 0x60b09d96, 0x60ac7f76, - 0x60a8611b, 0x60a44284, 0x60a023b1, 0x609c04a3, 0x6097e559, 0x6093c5d3, - 0x608fa612, 0x608b8616, - 0x608765dd, 0x6083456a, 0x607f24ba, 0x607b03d0, 0x6076e2a9, 0x6072c148, - 0x606e9faa, 0x606a7dd2, - 0x60665bbd, 0x6062396e, 0x605e16e2, 0x6059f41c, 0x6055d11a, 0x6051addc, - 0x604d8a63, 0x604966af, - 0x604542bf, 0x60411e94, 0x603cfa2e, 0x6038d58c, 0x6034b0af, 0x60308b97, - 0x602c6643, 0x602840b4, - 0x60241ae9, 0x601ff4e3, 0x601bcea2, 0x6017a826, 0x6013816e, 0x600f5a7b, - 0x600b334d, 0x60070be4, - 0x6002e43f, 0x5ffebc5f, 0x5ffa9444, 0x5ff66bee, 0x5ff2435d, 0x5fee1a90, - 0x5fe9f188, 0x5fe5c845, - 0x5fe19ec7, 0x5fdd750e, 0x5fd94b19, 0x5fd520ea, 0x5fd0f67f, 0x5fcccbd9, - 0x5fc8a0f8, 0x5fc475dc, - 0x5fc04a85, 0x5fbc1ef3, 0x5fb7f326, 0x5fb3c71e, 0x5faf9adb, 0x5fab6e5d, - 0x5fa741a3, 0x5fa314af, - 0x5f9ee780, 0x5f9aba16, 0x5f968c70, 0x5f925e90, 0x5f8e3075, 0x5f8a021f, - 0x5f85d38e, 0x5f81a4c2, - 0x5f7d75bb, 0x5f794679, 0x5f7516fd, 0x5f70e745, 0x5f6cb753, 0x5f688726, - 0x5f6456be, 0x5f60261b, - 0x5f5bf53d, 0x5f57c424, 0x5f5392d1, 0x5f4f6143, 0x5f4b2f7a, 0x5f46fd76, - 0x5f42cb37, 0x5f3e98be, - 0x5f3a660a, 0x5f36331b, 0x5f31fff1, 0x5f2dcc8d, 0x5f2998ee, 0x5f256515, - 0x5f213100, 0x5f1cfcb1, - 0x5f18c827, 0x5f149363, 0x5f105e64, 0x5f0c292a, 0x5f07f3b6, 0x5f03be07, - 0x5eff881d, 0x5efb51f9, - 0x5ef71b9b, 0x5ef2e501, 0x5eeeae2d, 0x5eea771f, 0x5ee63fd6, 0x5ee20853, - 0x5eddd094, 0x5ed9989c, - 0x5ed56069, 0x5ed127fb, 0x5eccef53, 0x5ec8b671, 0x5ec47d54, 0x5ec043fc, - 0x5ebc0a6a, 0x5eb7d09e, - 0x5eb39697, 0x5eaf5c56, 0x5eab21da, 0x5ea6e724, 0x5ea2ac34, 0x5e9e7109, - 0x5e9a35a4, 0x5e95fa05, - 0x5e91be2b, 0x5e8d8217, 0x5e8945c8, 0x5e85093f, 0x5e80cc7c, 0x5e7c8f7f, - 0x5e785247, 0x5e7414d5, - 0x5e6fd729, 0x5e6b9943, 0x5e675b22, 0x5e631cc7, 0x5e5ede32, 0x5e5a9f62, - 0x5e566059, 0x5e522115, - 0x5e4de197, 0x5e49a1df, 0x5e4561ed, 0x5e4121c0, 0x5e3ce15a, 0x5e38a0b9, - 0x5e345fde, 0x5e301ec9, - 0x5e2bdd7a, 0x5e279bf1, 0x5e235a2e, 0x5e1f1830, 0x5e1ad5f9, 0x5e169388, - 0x5e1250dc, 0x5e0e0df7, - 0x5e09cad7, 0x5e05877e, 0x5e0143ea, 0x5dfd001d, 0x5df8bc15, 0x5df477d4, - 0x5df03359, 0x5debeea3, - 0x5de7a9b4, 0x5de3648b, 0x5ddf1f28, 0x5ddad98b, 0x5dd693b4, 0x5dd24da3, - 0x5dce0759, 0x5dc9c0d4, - 0x5dc57a16, 0x5dc1331d, 0x5dbcebeb, 0x5db8a480, 0x5db45cda, 0x5db014fa, - 0x5dabcce1, 0x5da7848e, - 0x5da33c01, 0x5d9ef33b, 0x5d9aaa3a, 0x5d966100, 0x5d92178d, 0x5d8dcddf, - 0x5d8983f8, 0x5d8539d7, - 0x5d80ef7c, 0x5d7ca4e8, 0x5d785a1a, 0x5d740f12, 0x5d6fc3d1, 0x5d6b7856, - 0x5d672ca2, 0x5d62e0b4, - 0x5d5e948c, 0x5d5a482a, 0x5d55fb90, 0x5d51aebb, 0x5d4d61ad, 0x5d491465, - 0x5d44c6e4, 0x5d40792a, - 0x5d3c2b35, 0x5d37dd08, 0x5d338ea0, 0x5d2f4000, 0x5d2af125, 0x5d26a212, - 0x5d2252c5, 0x5d1e033e, - 0x5d19b37e, 0x5d156385, 0x5d111352, 0x5d0cc2e5, 0x5d087240, 0x5d042161, - 0x5cffd048, 0x5cfb7ef7, - 0x5cf72d6b, 0x5cf2dba7, 0x5cee89a9, 0x5cea3772, 0x5ce5e501, 0x5ce19258, - 0x5cdd3f75, 0x5cd8ec58, - 0x5cd49903, 0x5cd04574, 0x5ccbf1ab, 0x5cc79daa, 0x5cc3496f, 0x5cbef4fc, - 0x5cbaa04f, 0x5cb64b68, - 0x5cb1f649, 0x5cada0f0, 0x5ca94b5e, 0x5ca4f594, 0x5ca09f8f, 0x5c9c4952, - 0x5c97f2dc, 0x5c939c2c, - 0x5c8f4544, 0x5c8aee22, 0x5c8696c7, 0x5c823f34, 0x5c7de767, 0x5c798f61, - 0x5c753722, 0x5c70deaa, - 0x5c6c85f9, 0x5c682d0f, 0x5c63d3eb, 0x5c5f7a8f, 0x5c5b20fa, 0x5c56c72c, - 0x5c526d25, 0x5c4e12e5, - 0x5c49b86d, 0x5c455dbb, 0x5c4102d0, 0x5c3ca7ad, 0x5c384c50, 0x5c33f0bb, - 0x5c2f94ec, 0x5c2b38e5, - 0x5c26dca5, 0x5c22802c, 0x5c1e237b, 0x5c19c690, 0x5c15696d, 0x5c110c11, - 0x5c0cae7c, 0x5c0850ae, - 0x5c03f2a8, 0x5bff9469, 0x5bfb35f1, 0x5bf6d740, 0x5bf27857, 0x5bee1935, - 0x5be9b9da, 0x5be55a46, - 0x5be0fa7a, 0x5bdc9a75, 0x5bd83a37, 0x5bd3d9c1, 0x5bcf7912, 0x5bcb182b, - 0x5bc6b70b, 0x5bc255b2, - 0x5bbdf421, 0x5bb99257, 0x5bb53054, 0x5bb0ce19, 0x5bac6ba6, 0x5ba808f9, - 0x5ba3a615, 0x5b9f42f7, - 0x5b9adfa2, 0x5b967c13, 0x5b92184d, 0x5b8db44d, 0x5b895016, 0x5b84eba6, - 0x5b8086fd, 0x5b7c221c, - 0x5b77bd02, 0x5b7357b0, 0x5b6ef226, 0x5b6a8c63, 0x5b662668, 0x5b61c035, - 0x5b5d59c9, 0x5b58f324, - 0x5b548c48, 0x5b502533, 0x5b4bbde6, 0x5b475660, 0x5b42eea2, 0x5b3e86ac, - 0x5b3a1e7e, 0x5b35b617, - 0x5b314d78, 0x5b2ce4a1, 0x5b287b91, 0x5b241249, 0x5b1fa8c9, 0x5b1b3f11, - 0x5b16d521, 0x5b126af8, - 0x5b0e0098, 0x5b0995ff, 0x5b052b2e, 0x5b00c025, 0x5afc54e3, 0x5af7e96a, - 0x5af37db8, 0x5aef11cf, - 0x5aeaa5ad, 0x5ae63953, 0x5ae1ccc1, 0x5add5ff7, 0x5ad8f2f5, 0x5ad485bb, - 0x5ad01849, 0x5acbaa9f, - 0x5ac73cbd, 0x5ac2cea3, 0x5abe6050, 0x5ab9f1c6, 0x5ab58304, 0x5ab1140a, - 0x5aaca4d8, 0x5aa8356f, - 0x5aa3c5cd, 0x5a9f55f3, 0x5a9ae5e2, 0x5a967598, 0x5a920517, 0x5a8d945d, - 0x5a89236c, 0x5a84b243, - 0x5a8040e3, 0x5a7bcf4a, 0x5a775d7a, 0x5a72eb71, 0x5a6e7931, 0x5a6a06ba, - 0x5a65940a, 0x5a612123, - 0x5a5cae04, 0x5a583aad, 0x5a53c71e, 0x5a4f5358, 0x5a4adf5a, 0x5a466b24, - 0x5a41f6b7, 0x5a3d8212, - 0x5a390d35, 0x5a349821, 0x5a3022d5, 0x5a2bad51, 0x5a273796, 0x5a22c1a3, - 0x5a1e4b79, 0x5a19d517, - 0x5a155e7d, 0x5a10e7ac, 0x5a0c70a3, 0x5a07f963, 0x5a0381eb, 0x59ff0a3c, - 0x59fa9255, 0x59f61a36, - 0x59f1a1e0, 0x59ed2953, 0x59e8b08e, 0x59e43792, 0x59dfbe5e, 0x59db44f3, - 0x59d6cb50, 0x59d25176, - 0x59cdd765, 0x59c95d1c, 0x59c4e29c, 0x59c067e4, 0x59bbecf5, 0x59b771cf, - 0x59b2f671, 0x59ae7add, - 0x59a9ff10, 0x59a5830d, 0x59a106d2, 0x599c8a60, 0x59980db6, 0x599390d5, - 0x598f13bd, 0x598a966e, - 0x598618e8, 0x59819b2a, 0x597d1d35, 0x59789f09, 0x597420a6, 0x596fa20b, - 0x596b233a, 0x5966a431, - 0x596224f1, 0x595da57a, 0x595925cc, 0x5954a5e6, 0x595025ca, 0x594ba576, - 0x594724ec, 0x5942a42a, - 0x593e2331, 0x5939a202, 0x5935209b, 0x59309efd, 0x592c1d28, 0x59279b1c, - 0x592318d9, 0x591e9660, - 0x591a13af, 0x591590c7, 0x59110da8, 0x590c8a53, 0x590806c6, 0x59038302, - 0x58feff08, 0x58fa7ad7, - 0x58f5f66e, 0x58f171cf, 0x58ececf9, 0x58e867ed, 0x58e3e2a9, 0x58df5d2e, - 0x58dad77d, 0x58d65195, - 0x58d1cb76, 0x58cd4520, 0x58c8be94, 0x58c437d1, 0x58bfb0d7, 0x58bb29a6, - 0x58b6a23e, 0x58b21aa0, - 0x58ad92cb, 0x58a90ac0, 0x58a4827d, 0x589ffa04, 0x589b7155, 0x5896e86f, - 0x58925f52, 0x588dd5fe, - 0x58894c74, 0x5884c2b3, 0x588038bb, 0x587bae8d, 0x58772429, 0x5872998e, - 0x586e0ebc, 0x586983b4, - 0x5864f875, 0x58606d00, 0x585be154, 0x58575571, 0x5852c958, 0x584e3d09, - 0x5849b083, 0x584523c7, - 0x584096d4, 0x583c09ab, 0x58377c4c, 0x5832eeb6, 0x582e60e9, 0x5829d2e6, - 0x582544ad, 0x5820b63e, - 0x581c2798, 0x581798bb, 0x581309a9, 0x580e7a60, 0x5809eae1, 0x58055b2b, - 0x5800cb3f, 0x57fc3b1d, - 0x57f7aac5, 0x57f31a36, 0x57ee8971, 0x57e9f876, 0x57e56744, 0x57e0d5dd, - 0x57dc443f, 0x57d7b26b, - 0x57d32061, 0x57ce8e20, 0x57c9fbaa, 0x57c568fd, 0x57c0d61a, 0x57bc4301, - 0x57b7afb2, 0x57b31c2d, - 0x57ae8872, 0x57a9f480, 0x57a56059, 0x57a0cbfb, 0x579c3768, 0x5797a29e, - 0x57930d9e, 0x578e7869, - 0x5789e2fd, 0x57854d5b, 0x5780b784, 0x577c2176, 0x57778b32, 0x5772f4b9, - 0x576e5e09, 0x5769c724, - 0x57653009, 0x576098b7, 0x575c0130, 0x57576973, 0x5752d180, 0x574e3957, - 0x5749a0f9, 0x57450864, - 0x57406f9a, 0x573bd69a, 0x57373d64, 0x5732a3f8, 0x572e0a56, 0x5729707f, - 0x5724d672, 0x57203c2f, - 0x571ba1b7, 0x57170708, 0x57126c24, 0x570dd10a, 0x570935bb, 0x57049a36, - 0x56fffe7b, 0x56fb628b, - 0x56f6c664, 0x56f22a09, 0x56ed8d77, 0x56e8f0b0, 0x56e453b4, 0x56dfb681, - 0x56db1919, 0x56d67b7c, - 0x56d1dda9, 0x56cd3fa1, 0x56c8a162, 0x56c402ef, 0x56bf6446, 0x56bac567, - 0x56b62653, 0x56b18709, - 0x56ace78a, 0x56a847d6, 0x56a3a7ec, 0x569f07cc, 0x569a6777, 0x5695c6ed, - 0x5691262d, 0x568c8538, - 0x5687e40e, 0x568342ae, 0x567ea118, 0x5679ff4e, 0x56755d4e, 0x5670bb19, - 0x566c18ae, 0x5667760e, - 0x5662d339, 0x565e302e, 0x56598cee, 0x5654e979, 0x565045cf, 0x564ba1f0, - 0x5646fddb, 0x56425991, - 0x563db512, 0x5639105d, 0x56346b74, 0x562fc655, 0x562b2101, 0x56267b78, - 0x5621d5ba, 0x561d2fc6, - 0x5618899e, 0x5613e340, 0x560f3cae, 0x560a95e6, 0x5605eee9, 0x560147b7, - 0x55fca050, 0x55f7f8b4, - 0x55f350e3, 0x55eea8dd, 0x55ea00a2, 0x55e55832, 0x55e0af8d, 0x55dc06b3, - 0x55d75da4, 0x55d2b460, - 0x55ce0ae7, 0x55c96139, 0x55c4b757, 0x55c00d3f, 0x55bb62f3, 0x55b6b871, - 0x55b20dbb, 0x55ad62d0, - 0x55a8b7b0, 0x55a40c5b, 0x559f60d1, 0x559ab513, 0x55960920, 0x55915cf8, - 0x558cb09b, 0x55880409, - 0x55835743, 0x557eaa48, 0x5579fd18, 0x55754fb3, 0x5570a21a, 0x556bf44c, - 0x55674649, 0x55629812, - 0x555de9a6, 0x55593b05, 0x55548c30, 0x554fdd26, 0x554b2de7, 0x55467e74, - 0x5541cecc, 0x553d1ef0, - 0x55386edf, 0x5533be99, 0x552f0e1f, 0x552a5d70, 0x5525ac8d, 0x5520fb75, - 0x551c4a29, 0x551798a8, - 0x5512e6f3, 0x550e3509, 0x550982eb, 0x5504d099, 0x55001e12, 0x54fb6b56, - 0x54f6b866, 0x54f20542, - 0x54ed51e9, 0x54e89e5c, 0x54e3ea9a, 0x54df36a5, 0x54da827a, 0x54d5ce1c, - 0x54d11989, 0x54cc64c2, - 0x54c7afc6, 0x54c2fa96, 0x54be4532, 0x54b98f9a, 0x54b4d9cd, 0x54b023cc, - 0x54ab6d97, 0x54a6b72e, - 0x54a20090, 0x549d49bf, 0x549892b9, 0x5493db7f, 0x548f2410, 0x548a6c6e, - 0x5485b497, 0x5480fc8c, - 0x547c444d, 0x54778bda, 0x5472d333, 0x546e1a58, 0x54696149, 0x5464a805, - 0x545fee8e, 0x545b34e3, - 0x54567b03, 0x5451c0f0, 0x544d06a8, 0x54484c2d, 0x5443917d, 0x543ed699, - 0x543a1b82, 0x54356037, - 0x5430a4b7, 0x542be904, 0x54272d1d, 0x54227102, 0x541db4b3, 0x5418f830, - 0x54143b79, 0x540f7e8e, - 0x540ac170, 0x5406041d, 0x54014697, 0x53fc88dd, 0x53f7caef, 0x53f30cce, - 0x53ee4e78, 0x53e98fef, - 0x53e4d132, 0x53e01242, 0x53db531d, 0x53d693c5, 0x53d1d439, 0x53cd147a, - 0x53c85486, 0x53c3945f, - 0x53bed405, 0x53ba1377, 0x53b552b5, 0x53b091bf, 0x53abd096, 0x53a70f39, - 0x53a24da9, 0x539d8be5, - 0x5398c9ed, 0x539407c2, 0x538f4564, 0x538a82d1, 0x5385c00c, 0x5380fd12, - 0x537c39e6, 0x53777685, - 0x5372b2f2, 0x536def2a, 0x53692b30, 0x53646701, 0x535fa2a0, 0x535ade0b, - 0x53561942, 0x53515447, - 0x534c8f17, 0x5347c9b5, 0x5343041f, 0x533e3e55, 0x53397859, 0x5334b229, - 0x532febc5, 0x532b252f, - 0x53265e65, 0x53219767, 0x531cd037, 0x531808d3, 0x5313413c, 0x530e7972, - 0x5309b174, 0x5304e943, - 0x530020df, 0x52fb5848, 0x52f68f7e, 0x52f1c680, 0x52ecfd4f, 0x52e833ec, - 0x52e36a55, 0x52dea08a, - 0x52d9d68d, 0x52d50c5d, 0x52d041f9, 0x52cb7763, 0x52c6ac99, 0x52c1e19d, - 0x52bd166d, 0x52b84b0a, - 0x52b37f74, 0x52aeb3ac, 0x52a9e7b0, 0x52a51b81, 0x52a04f1f, 0x529b828a, - 0x5296b5c3, 0x5291e8c8, - 0x528d1b9b, 0x52884e3a, 0x528380a7, 0x527eb2e0, 0x5279e4e7, 0x527516bb, - 0x5270485c, 0x526b79ca, - 0x5266ab06, 0x5261dc0e, 0x525d0ce4, 0x52583d87, 0x52536df7, 0x524e9e34, - 0x5249ce3f, 0x5244fe17, - 0x52402dbc, 0x523b5d2e, 0x52368c6e, 0x5231bb7b, 0x522cea55, 0x522818fc, - 0x52234771, 0x521e75b3, - 0x5219a3c3, 0x5214d1a0, 0x520fff4a, 0x520b2cc2, 0x52065a07, 0x52018719, - 0x51fcb3f9, 0x51f7e0a6, - 0x51f30d21, 0x51ee3969, 0x51e9657e, 0x51e49162, 0x51dfbd12, 0x51dae890, - 0x51d613dc, 0x51d13ef5, - 0x51cc69db, 0x51c79490, 0x51c2bf11, 0x51bde960, 0x51b9137d, 0x51b43d68, - 0x51af6720, 0x51aa90a5, - 0x51a5b9f9, 0x51a0e31a, 0x519c0c08, 0x519734c4, 0x51925d4e, 0x518d85a6, - 0x5188adcb, 0x5183d5be, - 0x517efd7f, 0x517a250d, 0x51754c69, 0x51707393, 0x516b9a8b, 0x5166c150, - 0x5161e7e4, 0x515d0e45, - 0x51583473, 0x51535a70, 0x514e803b, 0x5149a5d3, 0x5144cb39, 0x513ff06d, - 0x513b156f, 0x51363a3f, - 0x51315edd, 0x512c8348, 0x5127a782, 0x5122cb8a, 0x511def5f, 0x51191302, - 0x51143674, 0x510f59b3, - 0x510a7cc1, 0x51059f9c, 0x5100c246, 0x50fbe4bd, 0x50f70703, 0x50f22916, - 0x50ed4af8, 0x50e86ca8, - 0x50e38e25, 0x50deaf71, 0x50d9d08b, 0x50d4f173, 0x50d0122a, 0x50cb32ae, - 0x50c65301, 0x50c17322, - 0x50bc9311, 0x50b7b2ce, 0x50b2d259, 0x50adf1b3, 0x50a910db, 0x50a42fd1, - 0x509f4e95, 0x509a6d28, - 0x50958b88, 0x5090a9b8, 0x508bc7b5, 0x5086e581, 0x5082031b, 0x507d2083, - 0x50783dba, 0x50735abf, - 0x506e7793, 0x50699435, 0x5064b0a5, 0x505fcce4, 0x505ae8f1, 0x505604cd, - 0x50512077, 0x504c3bef, - 0x50475736, 0x5042724c, 0x503d8d30, 0x5038a7e2, 0x5033c263, 0x502edcb2, - 0x5029f6d1, 0x502510bd, - 0x50202a78, 0x501b4402, 0x50165d5a, 0x50117681, 0x500c8f77, 0x5007a83b, - 0x5002c0cd, 0x4ffdd92f, - 0x4ff8f15f, 0x4ff4095e, 0x4fef212b, 0x4fea38c7, 0x4fe55032, 0x4fe0676c, - 0x4fdb7e74, 0x4fd6954b, - 0x4fd1abf0, 0x4fccc265, 0x4fc7d8a8, 0x4fc2eeba, 0x4fbe049b, 0x4fb91a4b, - 0x4fb42fc9, 0x4faf4517, - 0x4faa5a33, 0x4fa56f1e, 0x4fa083d8, 0x4f9b9861, 0x4f96acb8, 0x4f91c0df, - 0x4f8cd4d4, 0x4f87e899, - 0x4f82fc2c, 0x4f7e0f8f, 0x4f7922c0, 0x4f7435c0, 0x4f6f488f, 0x4f6a5b2e, - 0x4f656d9b, 0x4f607fd7, - 0x4f5b91e3, 0x4f56a3bd, 0x4f51b566, 0x4f4cc6df, 0x4f47d827, 0x4f42e93d, - 0x4f3dfa23, 0x4f390ad8, - 0x4f341b5c, 0x4f2f2baf, 0x4f2a3bd2, 0x4f254bc3, 0x4f205b84, 0x4f1b6b14, - 0x4f167a73, 0x4f1189a1, - 0x4f0c989f, 0x4f07a76b, 0x4f02b608, 0x4efdc473, 0x4ef8d2ad, 0x4ef3e0b7, - 0x4eeeee90, 0x4ee9fc39, - 0x4ee509b1, 0x4ee016f8, 0x4edb240e, 0x4ed630f4, 0x4ed13da9, 0x4ecc4a2e, - 0x4ec75682, 0x4ec262a5, - 0x4ebd6e98, 0x4eb87a5a, 0x4eb385ec, 0x4eae914d, 0x4ea99c7d, 0x4ea4a77d, - 0x4e9fb24d, 0x4e9abcec, - 0x4e95c75b, 0x4e90d199, 0x4e8bdba6, 0x4e86e583, 0x4e81ef30, 0x4e7cf8ac, - 0x4e7801f8, 0x4e730b14, - 0x4e6e13ff, 0x4e691cba, 0x4e642544, 0x4e5f2d9e, 0x4e5a35c7, 0x4e553dc1, - 0x4e50458a, 0x4e4b4d22, - 0x4e46548b, 0x4e415bc3, 0x4e3c62cb, 0x4e3769a2, 0x4e32704a, 0x4e2d76c1, - 0x4e287d08, 0x4e23831e, - 0x4e1e8905, 0x4e198ebb, 0x4e149441, 0x4e0f9997, 0x4e0a9ebd, 0x4e05a3b2, - 0x4e00a878, 0x4dfbad0d, - 0x4df6b173, 0x4df1b5a8, 0x4decb9ad, 0x4de7bd82, 0x4de2c127, 0x4dddc49c, - 0x4dd8c7e1, 0x4dd3caf6, - 0x4dcecdda, 0x4dc9d08f, 0x4dc4d314, 0x4dbfd569, 0x4dbad78e, 0x4db5d983, - 0x4db0db48, 0x4dabdcdd, - 0x4da6de43, 0x4da1df78, 0x4d9ce07d, 0x4d97e153, 0x4d92e1f9, 0x4d8de26f, - 0x4d88e2b5, 0x4d83e2cb, - 0x4d7ee2b1, 0x4d79e268, 0x4d74e1ef, 0x4d6fe146, 0x4d6ae06d, 0x4d65df64, - 0x4d60de2c, 0x4d5bdcc4, - 0x4d56db2d, 0x4d51d965, 0x4d4cd76e, 0x4d47d547, 0x4d42d2f1, 0x4d3dd06b, - 0x4d38cdb5, 0x4d33cad0, - 0x4d2ec7bb, 0x4d29c476, 0x4d24c102, 0x4d1fbd5e, 0x4d1ab98b, 0x4d15b588, - 0x4d10b155, 0x4d0bacf3, - 0x4d06a862, 0x4d01a3a0, 0x4cfc9eb0, 0x4cf79990, 0x4cf29440, 0x4ced8ec1, - 0x4ce88913, 0x4ce38335, - 0x4cde7d28, 0x4cd976eb, 0x4cd4707f, 0x4ccf69e3, 0x4cca6318, 0x4cc55c1e, - 0x4cc054f4, 0x4cbb4d9b, - 0x4cb64613, 0x4cb13e5b, 0x4cac3674, 0x4ca72e5e, 0x4ca22619, 0x4c9d1da4, - 0x4c981500, 0x4c930c2d, - 0x4c8e032a, 0x4c88f9f8, 0x4c83f097, 0x4c7ee707, 0x4c79dd48, 0x4c74d359, - 0x4c6fc93b, 0x4c6abeef, - 0x4c65b473, 0x4c60a9c8, 0x4c5b9eed, 0x4c5693e4, 0x4c5188ac, 0x4c4c7d44, - 0x4c4771ae, 0x4c4265e8, - 0x4c3d59f3, 0x4c384dd0, 0x4c33417d, 0x4c2e34fb, 0x4c29284b, 0x4c241b6b, - 0x4c1f0e5c, 0x4c1a011f, - 0x4c14f3b2, 0x4c0fe617, 0x4c0ad84c, 0x4c05ca53, 0x4c00bc2b, 0x4bfbadd4, - 0x4bf69f4e, 0x4bf19099, - 0x4bec81b5, 0x4be772a3, 0x4be26362, 0x4bdd53f2, 0x4bd84453, 0x4bd33485, - 0x4bce2488, 0x4bc9145d, - 0x4bc40403, 0x4bbef37b, 0x4bb9e2c3, 0x4bb4d1dd, 0x4bafc0c8, 0x4baaaf85, - 0x4ba59e12, 0x4ba08c72, - 0x4b9b7aa2, 0x4b9668a4, 0x4b915677, 0x4b8c441c, 0x4b873192, 0x4b821ed9, - 0x4b7d0bf2, 0x4b77f8dc, - 0x4b72e598, 0x4b6dd225, 0x4b68be84, 0x4b63aab4, 0x4b5e96b6, 0x4b598289, - 0x4b546e2d, 0x4b4f59a4, - 0x4b4a44eb, 0x4b453005, 0x4b401aef, 0x4b3b05ac, 0x4b35f03a, 0x4b30da9a, - 0x4b2bc4cb, 0x4b26aece, - 0x4b2198a2, 0x4b1c8248, 0x4b176bc0, 0x4b12550a, 0x4b0d3e25, 0x4b082712, - 0x4b030fd1, 0x4afdf861, - 0x4af8e0c3, 0x4af3c8f7, 0x4aeeb0fd, 0x4ae998d4, 0x4ae4807d, 0x4adf67f8, - 0x4ada4f45, 0x4ad53664, - 0x4ad01d54, 0x4acb0417, 0x4ac5eaab, 0x4ac0d111, 0x4abbb749, 0x4ab69d53, - 0x4ab1832f, 0x4aac68dc, - 0x4aa74e5c, 0x4aa233ae, 0x4a9d18d1, 0x4a97fdc7, 0x4a92e28e, 0x4a8dc728, - 0x4a88ab93, 0x4a838fd1, - 0x4a7e73e0, 0x4a7957c2, 0x4a743b76, 0x4a6f1efc, 0x4a6a0253, 0x4a64e57d, - 0x4a5fc879, 0x4a5aab48, - 0x4a558de8, 0x4a50705a, 0x4a4b529f, 0x4a4634b6, 0x4a41169f, 0x4a3bf85a, - 0x4a36d9e7, 0x4a31bb47, - 0x4a2c9c79, 0x4a277d7d, 0x4a225e53, 0x4a1d3efc, 0x4a181f77, 0x4a12ffc4, - 0x4a0ddfe4, 0x4a08bfd5, - 0x4a039f9a, 0x49fe7f30, 0x49f95e99, 0x49f43dd4, 0x49ef1ce2, 0x49e9fbc2, - 0x49e4da74, 0x49dfb8f9, - 0x49da9750, 0x49d5757a, 0x49d05376, 0x49cb3145, 0x49c60ee6, 0x49c0ec59, - 0x49bbc9a0, 0x49b6a6b8, - 0x49b183a3, 0x49ac6061, 0x49a73cf1, 0x49a21954, 0x499cf589, 0x4997d191, - 0x4992ad6c, 0x498d8919, - 0x49886499, 0x49833fec, 0x497e1b11, 0x4978f609, 0x4973d0d3, 0x496eab70, - 0x496985e0, 0x49646023, - 0x495f3a38, 0x495a1420, 0x4954eddb, 0x494fc768, 0x494aa0c9, 0x494579fc, - 0x49405302, 0x493b2bdb, - 0x49360486, 0x4930dd05, 0x492bb556, 0x49268d7a, 0x49216571, 0x491c3d3b, - 0x491714d8, 0x4911ec47, - 0x490cc38a, 0x49079aa0, 0x49027188, 0x48fd4844, 0x48f81ed2, 0x48f2f534, - 0x48edcb68, 0x48e8a170, - 0x48e3774a, 0x48de4cf8, 0x48d92278, 0x48d3f7cc, 0x48ceccf3, 0x48c9a1ed, - 0x48c476b9, 0x48bf4b59, - 0x48ba1fcd, 0x48b4f413, 0x48afc82c, 0x48aa9c19, 0x48a56fd9, 0x48a0436c, - 0x489b16d2, 0x4895ea0b, - 0x4890bd18, 0x488b8ff8, 0x488662ab, 0x48813531, 0x487c078b, 0x4876d9b8, - 0x4871abb8, 0x486c7d8c, - 0x48674f33, 0x486220ad, 0x485cf1fa, 0x4857c31b, 0x48529410, 0x484d64d7, - 0x48483572, 0x484305e1, - 0x483dd623, 0x4838a638, 0x48337621, 0x482e45dd, 0x4829156d, 0x4823e4d0, - 0x481eb407, 0x48198311, - 0x481451ef, 0x480f20a0, 0x4809ef25, 0x4804bd7e, 0x47ff8baa, 0x47fa59a9, - 0x47f5277d, 0x47eff523, - 0x47eac29e, 0x47e58fec, 0x47e05d0e, 0x47db2a03, 0x47d5f6cc, 0x47d0c369, - 0x47cb8fd9, 0x47c65c1d, - 0x47c12835, 0x47bbf421, 0x47b6bfe0, 0x47b18b74, 0x47ac56da, 0x47a72215, - 0x47a1ed24, 0x479cb806, - 0x479782bc, 0x47924d46, 0x478d17a4, 0x4787e1d6, 0x4782abdb, 0x477d75b5, - 0x47783f62, 0x477308e3, - 0x476dd239, 0x47689b62, 0x4763645f, 0x475e2d30, 0x4758f5d5, 0x4753be4e, - 0x474e869b, 0x47494ebc, - 0x474416b1, 0x473ede7a, 0x4739a617, 0x47346d89, 0x472f34ce, 0x4729fbe7, - 0x4724c2d5, 0x471f8996, - 0x471a502c, 0x47151696, 0x470fdcd4, 0x470aa2e6, 0x470568cd, 0x47002e87, - 0x46faf416, 0x46f5b979, - 0x46f07eb0, 0x46eb43bc, 0x46e6089b, 0x46e0cd4f, 0x46db91d8, 0x46d65634, - 0x46d11a65, 0x46cbde6a, - 0x46c6a244, 0x46c165f1, 0x46bc2974, 0x46b6ecca, 0x46b1aff5, 0x46ac72f4, - 0x46a735c8, 0x46a1f870, - 0x469cbaed, 0x46977d3e, 0x46923f63, 0x468d015d, 0x4687c32c, 0x468284cf, - 0x467d4646, 0x46780792, - 0x4672c8b3, 0x466d89a8, 0x46684a71, 0x46630b0f, 0x465dcb82, 0x46588bc9, - 0x46534be5, 0x464e0bd6, - 0x4648cb9b, 0x46438b35, 0x463e4aa3, 0x463909e7, 0x4633c8fe, 0x462e87eb, - 0x462946ac, 0x46240542, - 0x461ec3ad, 0x461981ec, 0x46144001, 0x460efde9, 0x4609bba7, 0x4604793a, - 0x45ff36a1, 0x45f9f3dd, - 0x45f4b0ee, 0x45ef6dd4, 0x45ea2a8f, 0x45e4e71f, 0x45dfa383, 0x45da5fbc, - 0x45d51bcb, 0x45cfd7ae, - 0x45ca9366, 0x45c54ef3, 0x45c00a55, 0x45bac58c, 0x45b58098, 0x45b03b79, - 0x45aaf630, 0x45a5b0bb, - 0x45a06b1b, 0x459b2550, 0x4595df5a, 0x45909939, 0x458b52ee, 0x45860c77, - 0x4580c5d6, 0x457b7f0a, - 0x45763813, 0x4570f0f1, 0x456ba9a4, 0x4566622c, 0x45611a8a, 0x455bd2bc, - 0x45568ac4, 0x455142a2, - 0x454bfa54, 0x4546b1dc, 0x45416939, 0x453c206b, 0x4536d773, 0x45318e4f, - 0x452c4502, 0x4526fb89, - 0x4521b1e6, 0x451c6818, 0x45171e20, 0x4511d3fd, 0x450c89af, 0x45073f37, - 0x4501f494, 0x44fca9c6, - 0x44f75ecf, 0x44f213ac, 0x44ecc85f, 0x44e77ce7, 0x44e23145, 0x44dce579, - 0x44d79982, 0x44d24d60, - 0x44cd0114, 0x44c7b49e, 0x44c267fd, 0x44bd1b32, 0x44b7ce3c, 0x44b2811c, - 0x44ad33d2, 0x44a7e65d, - 0x44a298be, 0x449d4af5, 0x4497fd01, 0x4492aee3, 0x448d609b, 0x44881228, - 0x4482c38b, 0x447d74c4, - 0x447825d2, 0x4472d6b7, 0x446d8771, 0x44683801, 0x4462e866, 0x445d98a2, - 0x445848b3, 0x4452f89b, - 0x444da858, 0x444857ea, 0x44430753, 0x443db692, 0x443865a7, 0x44331491, - 0x442dc351, 0x442871e8, - 0x44232054, 0x441dce96, 0x44187caf, 0x44132a9d, 0x440dd861, 0x440885fc, - 0x4403336c, 0x43fde0b2, - 0x43f88dcf, 0x43f33ac1, 0x43ede78a, 0x43e89429, 0x43e3409d, 0x43ddece8, - 0x43d8990a, 0x43d34501, - 0x43cdf0ce, 0x43c89c72, 0x43c347eb, 0x43bdf33b, 0x43b89e62, 0x43b3495e, - 0x43adf431, 0x43a89ed9, - 0x43a34959, 0x439df3ae, 0x43989dda, 0x439347dc, 0x438df1b4, 0x43889b63, - 0x438344e8, 0x437dee43, - 0x43789775, 0x4373407d, 0x436de95b, 0x43689210, 0x43633a9c, 0x435de2fd, - 0x43588b36, 0x43533344, - 0x434ddb29, 0x434882e5, 0x43432a77, 0x433dd1e0, 0x4338791f, 0x43332035, - 0x432dc721, 0x43286de4, - 0x4323147d, 0x431dbaed, 0x43186133, 0x43130751, 0x430dad44, 0x4308530f, - 0x4302f8b0, 0x42fd9e28, - 0x42f84376, 0x42f2e89b, 0x42ed8d97, 0x42e83269, 0x42e2d713, 0x42dd7b93, - 0x42d81fe9, 0x42d2c417, - 0x42cd681b, 0x42c80bf6, 0x42c2afa8, 0x42bd5331, 0x42b7f690, 0x42b299c7, - 0x42ad3cd4, 0x42a7dfb8, - 0x42a28273, 0x429d2505, 0x4297c76e, 0x429269ae, 0x428d0bc4, 0x4287adb2, - 0x42824f76, 0x427cf112, - 0x42779285, 0x427233ce, 0x426cd4ef, 0x426775e6, 0x426216b5, 0x425cb75a, - 0x425757d7, 0x4251f82b, - 0x424c9856, 0x42473858, 0x4241d831, 0x423c77e1, 0x42371769, 0x4231b6c7, - 0x422c55fd, 0x4226f50a, - 0x422193ee, 0x421c32a9, 0x4216d13c, 0x42116fa5, 0x420c0de6, 0x4206abfe, - 0x420149ee, 0x41fbe7b5, - 0x41f68553, 0x41f122c8, 0x41ebc015, 0x41e65d39, 0x41e0fa35, 0x41db9707, - 0x41d633b1, 0x41d0d033, - 0x41cb6c8c, 0x41c608bc, 0x41c0a4c4, 0x41bb40a3, 0x41b5dc5a, 0x41b077e8, - 0x41ab134e, 0x41a5ae8b, - 0x41a049a0, 0x419ae48c, 0x41957f4f, 0x419019eb, 0x418ab45d, 0x41854ea8, - 0x417fe8ca, 0x417a82c3, - 0x41751c94, 0x416fb63d, 0x416a4fbd, 0x4164e916, 0x415f8245, 0x415a1b4d, - 0x4154b42c, 0x414f4ce2, - 0x4149e571, 0x41447dd7, 0x413f1615, 0x4139ae2b, 0x41344618, 0x412edddd, - 0x4129757b, 0x41240cef, - 0x411ea43c, 0x41193b61, 0x4113d25d, 0x410e6931, 0x4108ffdd, 0x41039661, - 0x40fe2cbd, 0x40f8c2f1, - 0x40f358fc, 0x40edeee0, 0x40e8849b, 0x40e31a2f, 0x40ddaf9b, 0x40d844de, - 0x40d2d9f9, 0x40cd6eed, - 0x40c803b8, 0x40c2985c, 0x40bd2cd8, 0x40b7c12b, 0x40b25557, 0x40ace95b, - 0x40a77d37, 0x40a210eb, - 0x409ca477, 0x409737dc, 0x4091cb18, 0x408c5e2d, 0x4086f11a, 0x408183df, - 0x407c167c, 0x4076a8f1, - 0x40713b3f, 0x406bcd65, 0x40665f63, 0x4060f13a, 0x405b82e9, 0x40561470, - 0x4050a5cf, 0x404b3707, - 0x4045c817, 0x404058ff, 0x403ae9c0, 0x40357a59, 0x40300acb, 0x402a9b15, - 0x40252b37, 0x401fbb32, - 0x401a4b05, 0x4014dab1, 0x400f6a35, 0x4009f992, 0x400488c7, 0x3fff17d5, - 0x3ff9a6bb, 0x3ff4357a, - 0x3feec411, 0x3fe95281, 0x3fe3e0c9, 0x3fde6eeb, 0x3fd8fce4, 0x3fd38ab6, - 0x3fce1861, 0x3fc8a5e5, - 0x3fc33341, 0x3fbdc076, 0x3fb84d83, 0x3fb2da6a, 0x3fad6729, 0x3fa7f3c0, - 0x3fa28031, 0x3f9d0c7a, - 0x3f97989c, 0x3f922496, 0x3f8cb06a, 0x3f873c16, 0x3f81c79b, 0x3f7c52f9, - 0x3f76de30, 0x3f71693f, - 0x3f6bf428, 0x3f667ee9, 0x3f610983, 0x3f5b93f6, 0x3f561e42, 0x3f50a867, - 0x3f4b3265, 0x3f45bc3c, - 0x3f4045ec, 0x3f3acf75, 0x3f3558d7, 0x3f2fe211, 0x3f2a6b25, 0x3f24f412, - 0x3f1f7cd8, 0x3f1a0577, - 0x3f148def, 0x3f0f1640, 0x3f099e6b, 0x3f04266e, 0x3efeae4a, 0x3ef93600, - 0x3ef3bd8f, 0x3eee44f7, - 0x3ee8cc38, 0x3ee35352, 0x3eddda46, 0x3ed86113, 0x3ed2e7b9, 0x3ecd6e38, - 0x3ec7f491, 0x3ec27ac2, - 0x3ebd00cd, 0x3eb786b2, 0x3eb20c6f, 0x3eac9206, 0x3ea71777, 0x3ea19cc1, - 0x3e9c21e4, 0x3e96a6e0, - 0x3e912bb6, 0x3e8bb065, 0x3e8634ee, 0x3e80b950, 0x3e7b3d8c, 0x3e75c1a1, - 0x3e70458f, 0x3e6ac957, - 0x3e654cf8, 0x3e5fd073, 0x3e5a53c8, 0x3e54d6f6, 0x3e4f59fe, 0x3e49dcdf, - 0x3e445f99, 0x3e3ee22e, - 0x3e39649c, 0x3e33e6e3, 0x3e2e6904, 0x3e28eaff, 0x3e236cd4, 0x3e1dee82, - 0x3e18700a, 0x3e12f16b, - 0x3e0d72a6, 0x3e07f3bb, 0x3e0274aa, 0x3dfcf572, 0x3df77615, 0x3df1f691, - 0x3dec76e6, 0x3de6f716, - 0x3de1771f, 0x3ddbf703, 0x3dd676c0, 0x3dd0f656, 0x3dcb75c7, 0x3dc5f512, - 0x3dc07436, 0x3dbaf335, - 0x3db5720d, 0x3daff0c0, 0x3daa6f4c, 0x3da4edb2, 0x3d9f6bf2, 0x3d99ea0d, - 0x3d946801, 0x3d8ee5cf, - 0x3d896377, 0x3d83e0f9, 0x3d7e5e56, 0x3d78db8c, 0x3d73589d, 0x3d6dd587, - 0x3d68524c, 0x3d62ceeb, - 0x3d5d4b64, 0x3d57c7b7, 0x3d5243e4, 0x3d4cbfeb, 0x3d473bcd, 0x3d41b789, - 0x3d3c331f, 0x3d36ae8f, - 0x3d3129da, 0x3d2ba4fe, 0x3d261ffd, 0x3d209ad7, 0x3d1b158a, 0x3d159018, - 0x3d100a80, 0x3d0a84c3, - 0x3d04fee0, 0x3cff78d7, 0x3cf9f2a9, 0x3cf46c55, 0x3ceee5db, 0x3ce95f3c, - 0x3ce3d877, 0x3cde518d, - 0x3cd8ca7d, 0x3cd34347, 0x3ccdbbed, 0x3cc8346c, 0x3cc2acc6, 0x3cbd24fb, - 0x3cb79d0a, 0x3cb214f4, - 0x3cac8cb8, 0x3ca70457, 0x3ca17bd0, 0x3c9bf324, 0x3c966a53, 0x3c90e15c, - 0x3c8b5840, 0x3c85cefe, - 0x3c804598, 0x3c7abc0c, 0x3c75325a, 0x3c6fa883, 0x3c6a1e87, 0x3c649466, - 0x3c5f0a20, 0x3c597fb4, - 0x3c53f523, 0x3c4e6a6d, 0x3c48df91, 0x3c435491, 0x3c3dc96b, 0x3c383e20, - 0x3c32b2b0, 0x3c2d271b, - 0x3c279b61, 0x3c220f81, 0x3c1c837d, 0x3c16f753, 0x3c116b04, 0x3c0bde91, - 0x3c0651f8, 0x3c00c53a, - 0x3bfb3857, 0x3bf5ab50, 0x3bf01e23, 0x3bea90d1, 0x3be5035a, 0x3bdf75bf, - 0x3bd9e7fe, 0x3bd45a19, - 0x3bcecc0e, 0x3bc93ddf, 0x3bc3af8b, 0x3bbe2112, 0x3bb89274, 0x3bb303b1, - 0x3bad74c9, 0x3ba7e5bd, - 0x3ba2568c, 0x3b9cc736, 0x3b9737bb, 0x3b91a81c, 0x3b8c1857, 0x3b86886e, - 0x3b80f861, 0x3b7b682e, - 0x3b75d7d7, 0x3b70475c, 0x3b6ab6bb, 0x3b6525f6, 0x3b5f950c, 0x3b5a03fe, - 0x3b5472cb, 0x3b4ee173, - 0x3b494ff7, 0x3b43be57, 0x3b3e2c91, 0x3b389aa8, 0x3b330899, 0x3b2d7666, - 0x3b27e40f, 0x3b225193, - 0x3b1cbef3, 0x3b172c2e, 0x3b119945, 0x3b0c0637, 0x3b067305, 0x3b00dfaf, - 0x3afb4c34, 0x3af5b894, - 0x3af024d1, 0x3aea90e9, 0x3ae4fcdc, 0x3adf68ac, 0x3ad9d457, 0x3ad43fdd, - 0x3aceab40, 0x3ac9167e, - 0x3ac38198, 0x3abdec8d, 0x3ab8575f, 0x3ab2c20c, 0x3aad2c95, 0x3aa796fa, - 0x3aa2013a, 0x3a9c6b57, - 0x3a96d54f, 0x3a913f23, 0x3a8ba8d3, 0x3a86125f, 0x3a807bc7, 0x3a7ae50a, - 0x3a754e2a, 0x3a6fb726, - 0x3a6a1ffd, 0x3a6488b1, 0x3a5ef140, 0x3a5959ab, 0x3a53c1f3, 0x3a4e2a16, - 0x3a489216, 0x3a42f9f2, - 0x3a3d61a9, 0x3a37c93d, 0x3a3230ad, 0x3a2c97f9, 0x3a26ff21, 0x3a216625, - 0x3a1bcd05, 0x3a1633c1, - 0x3a109a5a, 0x3a0b00cf, 0x3a056720, 0x39ffcd4d, 0x39fa3356, 0x39f4993c, - 0x39eefefe, 0x39e9649c, - 0x39e3ca17, 0x39de2f6d, 0x39d894a0, 0x39d2f9b0, 0x39cd5e9b, 0x39c7c363, - 0x39c22808, 0x39bc8c89, - 0x39b6f0e6, 0x39b1551f, 0x39abb935, 0x39a61d28, 0x39a080f6, 0x399ae4a2, - 0x39954829, 0x398fab8e, - 0x398a0ece, 0x398471ec, 0x397ed4e5, 0x397937bc, 0x39739a6e, 0x396dfcfe, - 0x39685f6a, 0x3962c1b2, - 0x395d23d7, 0x395785d9, 0x3951e7b8, 0x394c4973, 0x3946ab0a, 0x39410c7f, - 0x393b6dd0, 0x3935cefd, - 0x39303008, 0x392a90ef, 0x3924f1b3, 0x391f5254, 0x3919b2d1, 0x3914132b, - 0x390e7362, 0x3908d376, - 0x39033367, 0x38fd9334, 0x38f7f2de, 0x38f25266, 0x38ecb1ca, 0x38e7110a, - 0x38e17028, 0x38dbcf23, - 0x38d62dfb, 0x38d08caf, 0x38caeb41, 0x38c549af, 0x38bfa7fb, 0x38ba0623, - 0x38b46429, 0x38aec20b, - 0x38a91fcb, 0x38a37d67, 0x389ddae1, 0x38983838, 0x3892956c, 0x388cf27d, - 0x38874f6b, 0x3881ac36, - 0x387c08de, 0x38766564, 0x3870c1c6, 0x386b1e06, 0x38657a23, 0x385fd61d, - 0x385a31f5, 0x38548daa, - 0x384ee93b, 0x384944ab, 0x38439ff7, 0x383dfb21, 0x38385628, 0x3832b10d, - 0x382d0bce, 0x3827666d, - 0x3821c0ea, 0x381c1b44, 0x3816757b, 0x3810cf90, 0x380b2982, 0x38058351, - 0x37ffdcfe, 0x37fa3688, - 0x37f48ff0, 0x37eee936, 0x37e94259, 0x37e39b59, 0x37ddf437, 0x37d84cf2, - 0x37d2a58b, 0x37ccfe02, - 0x37c75656, 0x37c1ae87, 0x37bc0697, 0x37b65e84, 0x37b0b64e, 0x37ab0df6, - 0x37a5657c, 0x379fbce0, - 0x379a1421, 0x37946b40, 0x378ec23d, 0x37891917, 0x37836fcf, 0x377dc665, - 0x37781cd9, 0x3772732a, - 0x376cc959, 0x37671f66, 0x37617551, 0x375bcb1a, 0x375620c1, 0x37507645, - 0x374acba7, 0x374520e7, - 0x373f7606, 0x3739cb02, 0x37341fdc, 0x372e7493, 0x3728c929, 0x37231d9d, - 0x371d71ef, 0x3717c61f, - 0x37121a2d, 0x370c6e19, 0x3706c1e2, 0x3701158a, 0x36fb6910, 0x36f5bc75, - 0x36f00fb7, 0x36ea62d7, - 0x36e4b5d6, 0x36df08b2, 0x36d95b6d, 0x36d3ae06, 0x36ce007d, 0x36c852d2, - 0x36c2a506, 0x36bcf718, - 0x36b74908, 0x36b19ad6, 0x36abec82, 0x36a63e0d, 0x36a08f76, 0x369ae0bd, - 0x369531e3, 0x368f82e7, - 0x3689d3c9, 0x3684248a, 0x367e7529, 0x3678c5a7, 0x36731602, 0x366d663d, - 0x3667b655, 0x3662064c, - 0x365c5622, 0x3656a5d6, 0x3650f569, 0x364b44da, 0x36459429, 0x363fe357, - 0x363a3264, 0x3634814f, - 0x362ed019, 0x36291ec1, 0x36236d48, 0x361dbbad, 0x361809f1, 0x36125814, - 0x360ca615, 0x3606f3f5, - 0x360141b4, 0x35fb8f52, 0x35f5dcce, 0x35f02a28, 0x35ea7762, 0x35e4c47a, - 0x35df1171, 0x35d95e47, - 0x35d3aafc, 0x35cdf78f, 0x35c84401, 0x35c29052, 0x35bcdc82, 0x35b72891, - 0x35b1747e, 0x35abc04b, - 0x35a60bf6, 0x35a05781, 0x359aa2ea, 0x3594ee32, 0x358f3959, 0x3589845f, - 0x3583cf44, 0x357e1a08, - 0x357864ab, 0x3572af2d, 0x356cf98e, 0x356743ce, 0x35618ded, 0x355bd7eb, - 0x355621c9, 0x35506b85, - 0x354ab520, 0x3544fe9b, 0x353f47f5, 0x3539912e, 0x3533da46, 0x352e233d, - 0x35286c14, 0x3522b4c9, - 0x351cfd5e, 0x351745d2, 0x35118e26, 0x350bd658, 0x35061e6a, 0x3500665c, - 0x34faae2c, 0x34f4f5dc, - 0x34ef3d6b, 0x34e984da, 0x34e3cc28, 0x34de1355, 0x34d85a62, 0x34d2a14e, - 0x34cce819, 0x34c72ec4, - 0x34c1754e, 0x34bbbbb8, 0x34b60202, 0x34b0482a, 0x34aa8e33, 0x34a4d41a, - 0x349f19e2, 0x34995f88, - 0x3493a50f, 0x348dea75, 0x34882fba, 0x348274e0, 0x347cb9e4, 0x3476fec9, - 0x3471438d, 0x346b8830, - 0x3465ccb4, 0x34601117, 0x345a5559, 0x3454997c, 0x344edd7e, 0x34492160, - 0x34436521, 0x343da8c3, - 0x3437ec44, 0x34322fa5, 0x342c72e6, 0x3426b606, 0x3420f907, 0x341b3be7, - 0x34157ea7, 0x340fc147, - 0x340a03c7, 0x34044626, 0x33fe8866, 0x33f8ca86, 0x33f30c85, 0x33ed4e65, - 0x33e79024, 0x33e1d1c4, - 0x33dc1343, 0x33d654a2, 0x33d095e2, 0x33cad701, 0x33c51801, 0x33bf58e1, - 0x33b999a0, 0x33b3da40, - 0x33ae1ac0, 0x33a85b20, 0x33a29b60, 0x339cdb81, 0x33971b81, 0x33915b62, - 0x338b9b22, 0x3385dac4, - 0x33801a45, 0x337a59a6, 0x337498e8, 0x336ed80a, 0x3369170c, 0x336355ef, - 0x335d94b2, 0x3357d355, - 0x335211d8, 0x334c503c, 0x33468e80, 0x3340cca5, 0x333b0aaa, 0x3335488f, - 0x332f8655, 0x3329c3fb, - 0x33240182, 0x331e3ee9, 0x33187c31, 0x3312b959, 0x330cf661, 0x3307334a, - 0x33017014, 0x32fbacbe, - 0x32f5e948, 0x32f025b4, 0x32ea61ff, 0x32e49e2c, 0x32deda39, 0x32d91626, - 0x32d351f5, 0x32cd8da4, - 0x32c7c933, 0x32c204a3, 0x32bc3ff4, 0x32b67b26, 0x32b0b638, 0x32aaf12b, - 0x32a52bff, 0x329f66b4, - 0x3299a149, 0x3293dbbf, 0x328e1616, 0x3288504e, 0x32828a67, 0x327cc460, - 0x3276fe3a, 0x327137f6, - 0x326b7192, 0x3265ab0f, 0x325fe46c, 0x325a1dab, 0x325456cb, 0x324e8fcc, - 0x3248c8ad, 0x32430170, - 0x323d3a14, 0x32377298, 0x3231aafe, 0x322be345, 0x32261b6c, 0x32205375, - 0x321a8b5f, 0x3214c32a, - 0x320efad6, 0x32093263, 0x320369d2, 0x31fda121, 0x31f7d852, 0x31f20f64, - 0x31ec4657, 0x31e67d2b, - 0x31e0b3e0, 0x31daea77, 0x31d520ef, 0x31cf5748, 0x31c98d83, 0x31c3c39e, - 0x31bdf99b, 0x31b82f7a, - 0x31b2653a, 0x31ac9adb, 0x31a6d05d, 0x31a105c1, 0x319b3b06, 0x3195702d, - 0x318fa535, 0x3189da1e, - 0x31840ee9, 0x317e4395, 0x31787823, 0x3172ac92, 0x316ce0e3, 0x31671515, - 0x31614929, 0x315b7d1e, - 0x3155b0f5, 0x314fe4ae, 0x314a1848, 0x31444bc3, 0x313e7f21, 0x3138b260, - 0x3132e580, 0x312d1882, - 0x31274b66, 0x31217e2c, 0x311bb0d3, 0x3115e35c, 0x311015c6, 0x310a4813, - 0x31047a41, 0x30feac51, - 0x30f8de42, 0x30f31016, 0x30ed41cb, 0x30e77362, 0x30e1a4db, 0x30dbd636, - 0x30d60772, 0x30d03891, - 0x30ca6991, 0x30c49a74, 0x30becb38, 0x30b8fbde, 0x30b32c66, 0x30ad5cd0, - 0x30a78d1c, 0x30a1bd4a, - 0x309bed5a, 0x30961d4c, 0x30904d20, 0x308a7cd6, 0x3084ac6e, 0x307edbe9, - 0x30790b45, 0x30733a83, - 0x306d69a4, 0x306798a7, 0x3061c78b, 0x305bf652, 0x305624fb, 0x30505387, - 0x304a81f4, 0x3044b044, - 0x303ede76, 0x30390c8a, 0x30333a80, 0x302d6859, 0x30279614, 0x3021c3b1, - 0x301bf131, 0x30161e93, - 0x30104bd7, 0x300a78fe, 0x3004a607, 0x2ffed2f2, 0x2ff8ffc0, 0x2ff32c70, - 0x2fed5902, 0x2fe78577, - 0x2fe1b1cf, 0x2fdbde09, 0x2fd60a25, 0x2fd03624, 0x2fca6206, 0x2fc48dc9, - 0x2fbeb970, 0x2fb8e4f9, - 0x2fb31064, 0x2fad3bb3, 0x2fa766e3, 0x2fa191f7, 0x2f9bbced, 0x2f95e7c5, - 0x2f901280, 0x2f8a3d1e, - 0x2f84679f, 0x2f7e9202, 0x2f78bc48, 0x2f72e671, 0x2f6d107c, 0x2f673a6a, - 0x2f61643b, 0x2f5b8def, - 0x2f55b785, 0x2f4fe0ff, 0x2f4a0a5b, 0x2f44339a, 0x2f3e5cbb, 0x2f3885c0, - 0x2f32aea8, 0x2f2cd772, - 0x2f27001f, 0x2f2128af, 0x2f1b5122, 0x2f157979, 0x2f0fa1b2, 0x2f09c9ce, - 0x2f03f1cd, 0x2efe19ae, - 0x2ef84173, 0x2ef2691b, 0x2eec90a7, 0x2ee6b815, 0x2ee0df66, 0x2edb069a, - 0x2ed52db1, 0x2ecf54ac, - 0x2ec97b89, 0x2ec3a24a, 0x2ebdc8ee, 0x2eb7ef75, 0x2eb215df, 0x2eac3c2d, - 0x2ea6625d, 0x2ea08871, - 0x2e9aae68, 0x2e94d443, 0x2e8efa00, 0x2e891fa1, 0x2e834525, 0x2e7d6a8d, - 0x2e778fd8, 0x2e71b506, - 0x2e6bda17, 0x2e65ff0c, 0x2e6023e5, 0x2e5a48a0, 0x2e546d3f, 0x2e4e91c2, - 0x2e48b628, 0x2e42da71, - 0x2e3cfe9e, 0x2e3722ae, 0x2e3146a2, 0x2e2b6a79, 0x2e258e34, 0x2e1fb1d3, - 0x2e19d554, 0x2e13f8ba, - 0x2e0e1c03, 0x2e083f30, 0x2e026240, 0x2dfc8534, 0x2df6a80b, 0x2df0cac6, - 0x2deaed65, 0x2de50fe8, - 0x2ddf324e, 0x2dd95498, 0x2dd376c5, 0x2dcd98d7, 0x2dc7bacc, 0x2dc1dca4, - 0x2dbbfe61, 0x2db62001, - 0x2db04186, 0x2daa62ee, 0x2da4843a, 0x2d9ea569, 0x2d98c67d, 0x2d92e774, - 0x2d8d084f, 0x2d87290f, - 0x2d8149b2, 0x2d7b6a39, 0x2d758aa4, 0x2d6faaf3, 0x2d69cb26, 0x2d63eb3d, - 0x2d5e0b38, 0x2d582b17, - 0x2d524ada, 0x2d4c6a81, 0x2d468a0c, 0x2d40a97b, 0x2d3ac8ce, 0x2d34e805, - 0x2d2f0721, 0x2d292620, - 0x2d234504, 0x2d1d63cc, 0x2d178278, 0x2d11a108, 0x2d0bbf7d, 0x2d05ddd5, - 0x2cfffc12, 0x2cfa1a33, - 0x2cf43839, 0x2cee5622, 0x2ce873f0, 0x2ce291a2, 0x2cdcaf39, 0x2cd6ccb4, - 0x2cd0ea13, 0x2ccb0756, - 0x2cc5247e, 0x2cbf418b, 0x2cb95e7b, 0x2cb37b51, 0x2cad980a, 0x2ca7b4a8, - 0x2ca1d12a, 0x2c9bed91, - 0x2c9609dd, 0x2c90260d, 0x2c8a4221, 0x2c845e1a, 0x2c7e79f7, 0x2c7895b9, - 0x2c72b160, 0x2c6ccceb, - 0x2c66e85b, 0x2c6103af, 0x2c5b1ee8, 0x2c553a06, 0x2c4f5508, 0x2c496fef, - 0x2c438abb, 0x2c3da56b, - 0x2c37c000, 0x2c31da7a, 0x2c2bf4d8, 0x2c260f1c, 0x2c202944, 0x2c1a4351, - 0x2c145d42, 0x2c0e7719, - 0x2c0890d4, 0x2c02aa74, 0x2bfcc3f9, 0x2bf6dd63, 0x2bf0f6b1, 0x2beb0fe5, - 0x2be528fd, 0x2bdf41fb, - 0x2bd95add, 0x2bd373a4, 0x2bcd8c51, 0x2bc7a4e2, 0x2bc1bd58, 0x2bbbd5b3, - 0x2bb5edf4, 0x2bb00619, - 0x2baa1e23, 0x2ba43613, 0x2b9e4de7, 0x2b9865a1, 0x2b927d3f, 0x2b8c94c3, - 0x2b86ac2c, 0x2b80c37a, - 0x2b7adaae, 0x2b74f1c6, 0x2b6f08c4, 0x2b691fa6, 0x2b63366f, 0x2b5d4d1c, - 0x2b5763ae, 0x2b517a26, - 0x2b4b9083, 0x2b45a6c6, 0x2b3fbced, 0x2b39d2fa, 0x2b33e8ed, 0x2b2dfec5, - 0x2b281482, 0x2b222a24, - 0x2b1c3fac, 0x2b165519, 0x2b106a6c, 0x2b0a7fa4, 0x2b0494c2, 0x2afea9c5, - 0x2af8bead, 0x2af2d37b, - 0x2aece82f, 0x2ae6fcc8, 0x2ae11146, 0x2adb25aa, 0x2ad539f4, 0x2acf4e23, - 0x2ac96238, 0x2ac37633, - 0x2abd8a13, 0x2ab79dd8, 0x2ab1b184, 0x2aabc515, 0x2aa5d88b, 0x2a9febe8, - 0x2a99ff2a, 0x2a941252, - 0x2a8e255f, 0x2a883853, 0x2a824b2c, 0x2a7c5deb, 0x2a76708f, 0x2a70831a, - 0x2a6a958a, 0x2a64a7e0, - 0x2a5eba1c, 0x2a58cc3e, 0x2a52de46, 0x2a4cf033, 0x2a470207, 0x2a4113c0, - 0x2a3b2560, 0x2a3536e5, - 0x2a2f4850, 0x2a2959a1, 0x2a236ad9, 0x2a1d7bf6, 0x2a178cf9, 0x2a119de2, - 0x2a0baeb2, 0x2a05bf67, - 0x29ffd003, 0x29f9e084, 0x29f3f0ec, 0x29ee013a, 0x29e8116e, 0x29e22188, - 0x29dc3188, 0x29d6416f, - 0x29d0513b, 0x29ca60ee, 0x29c47087, 0x29be8007, 0x29b88f6c, 0x29b29eb8, - 0x29acadea, 0x29a6bd02, - 0x29a0cc01, 0x299adae6, 0x2994e9b1, 0x298ef863, 0x298906fb, 0x2983157a, - 0x297d23df, 0x2977322a, - 0x2971405b, 0x296b4e74, 0x29655c72, 0x295f6a57, 0x29597823, 0x295385d5, - 0x294d936d, 0x2947a0ec, - 0x2941ae52, 0x293bbb9e, 0x2935c8d1, 0x292fd5ea, 0x2929e2ea, 0x2923efd0, - 0x291dfc9d, 0x29180951, - 0x291215eb, 0x290c226c, 0x29062ed4, 0x29003b23, 0x28fa4758, 0x28f45374, - 0x28ee5f76, 0x28e86b5f, - 0x28e27730, 0x28dc82e6, 0x28d68e84, 0x28d09a09, 0x28caa574, 0x28c4b0c6, - 0x28bebbff, 0x28b8c71f, - 0x28b2d226, 0x28acdd13, 0x28a6e7e8, 0x28a0f2a3, 0x289afd46, 0x289507cf, - 0x288f123f, 0x28891c97, - 0x288326d5, 0x287d30fa, 0x28773b07, 0x287144fa, 0x286b4ed5, 0x28655896, - 0x285f623f, 0x28596bce, - 0x28537545, 0x284d7ea3, 0x284787e8, 0x28419114, 0x283b9a28, 0x2835a322, - 0x282fac04, 0x2829b4cd, - 0x2823bd7d, 0x281dc615, 0x2817ce93, 0x2811d6f9, 0x280bdf46, 0x2805e77b, - 0x27ffef97, 0x27f9f79a, - 0x27f3ff85, 0x27ee0756, 0x27e80f10, 0x27e216b0, 0x27dc1e38, 0x27d625a8, - 0x27d02cff, 0x27ca343d, - 0x27c43b63, 0x27be4270, 0x27b84965, 0x27b25041, 0x27ac5705, 0x27a65db0, - 0x27a06443, 0x279a6abd, - 0x2794711f, 0x278e7768, 0x27887d99, 0x278283b2, 0x277c89b3, 0x27768f9b, - 0x2770956a, 0x276a9b21, - 0x2764a0c0, 0x275ea647, 0x2758abb6, 0x2752b10c, 0x274cb64a, 0x2746bb6f, - 0x2740c07d, 0x273ac572, - 0x2734ca4f, 0x272ecf14, 0x2728d3c0, 0x2722d855, 0x271cdcd1, 0x2716e136, - 0x2710e582, 0x270ae9b6, - 0x2704edd2, 0x26fef1d5, 0x26f8f5c1, 0x26f2f995, 0x26ecfd51, 0x26e700f5, - 0x26e10480, 0x26db07f4, - 0x26d50b50, 0x26cf0e94, 0x26c911c0, 0x26c314d4, 0x26bd17d0, 0x26b71ab4, - 0x26b11d80, 0x26ab2034, - 0x26a522d1, 0x269f2556, 0x269927c3, 0x26932a18, 0x268d2c55, 0x26872e7b, - 0x26813088, 0x267b327e, - 0x2675345d, 0x266f3623, 0x266937d2, 0x26633969, 0x265d3ae9, 0x26573c50, - 0x26513da1, 0x264b3ed9, - 0x26453ffa, 0x263f4103, 0x263941f5, 0x263342cf, 0x262d4392, 0x2627443d, - 0x262144d0, 0x261b454c, - 0x261545b0, 0x260f45fd, 0x26094633, 0x26034651, 0x25fd4657, 0x25f74646, - 0x25f1461e, 0x25eb45de, - 0x25e54587, 0x25df4519, 0x25d94493, 0x25d343f6, 0x25cd4341, 0x25c74276, - 0x25c14192, 0x25bb4098, - 0x25b53f86, 0x25af3e5d, 0x25a93d1d, 0x25a33bc6, 0x259d3a57, 0x259738d1, - 0x25913734, 0x258b3580, - 0x258533b5, 0x257f31d2, 0x25792fd8, 0x25732dc8, 0x256d2ba0, 0x25672961, - 0x2561270b, 0x255b249e, - 0x2555221a, 0x254f1f7e, 0x25491ccc, 0x25431a03, 0x253d1723, 0x2537142c, - 0x2531111e, 0x252b0df9, - 0x25250abd, 0x251f076a, 0x25190400, 0x25130080, 0x250cfce8, 0x2506f93a, - 0x2500f574, 0x24faf198, - 0x24f4eda6, 0x24eee99c, 0x24e8e57c, 0x24e2e144, 0x24dcdcf6, 0x24d6d892, - 0x24d0d416, 0x24cacf84, - 0x24c4cadb, 0x24bec61c, 0x24b8c146, 0x24b2bc59, 0x24acb756, 0x24a6b23b, - 0x24a0ad0b, 0x249aa7c4, - 0x2494a266, 0x248e9cf1, 0x24889766, 0x248291c5, 0x247c8c0d, 0x2476863e, - 0x24708059, 0x246a7a5e, - 0x2464744c, 0x245e6e23, 0x245867e4, 0x2452618f, 0x244c5b24, 0x244654a1, - 0x24404e09, 0x243a475a, - 0x24344095, 0x242e39ba, 0x242832c8, 0x24222bc0, 0x241c24a1, 0x24161d6d, - 0x24101622, 0x240a0ec1, - 0x24040749, 0x23fdffbc, 0x23f7f818, 0x23f1f05e, 0x23ebe88e, 0x23e5e0a7, - 0x23dfd8ab, 0x23d9d098, - 0x23d3c86f, 0x23cdc031, 0x23c7b7dc, 0x23c1af71, 0x23bba6f0, 0x23b59e59, - 0x23af95ac, 0x23a98ce8, - 0x23a3840f, 0x239d7b20, 0x2397721b, 0x23916900, 0x238b5fcf, 0x23855688, - 0x237f4d2b, 0x237943b9, - 0x23733a30, 0x236d3092, 0x236726dd, 0x23611d13, 0x235b1333, 0x2355093e, - 0x234eff32, 0x2348f511, - 0x2342eada, 0x233ce08d, 0x2336d62a, 0x2330cbb2, 0x232ac124, 0x2324b680, - 0x231eabc7, 0x2318a0f8, - 0x23129613, 0x230c8b19, 0x23068009, 0x230074e3, 0x22fa69a8, 0x22f45e57, - 0x22ee52f1, 0x22e84775, - 0x22e23be4, 0x22dc303d, 0x22d62480, 0x22d018ae, 0x22ca0cc7, 0x22c400ca, - 0x22bdf4b8, 0x22b7e890, - 0x22b1dc53, 0x22abd001, 0x22a5c399, 0x229fb71b, 0x2299aa89, 0x22939de1, - 0x228d9123, 0x22878451, - 0x22817769, 0x227b6a6c, 0x22755d59, 0x226f5032, 0x226942f5, 0x226335a2, - 0x225d283b, 0x22571abe, - 0x22510d2d, 0x224aff86, 0x2244f1c9, 0x223ee3f8, 0x2238d612, 0x2232c816, - 0x222cba06, 0x2226abe0, - 0x22209da5, 0x221a8f56, 0x221480f1, 0x220e7277, 0x220863e8, 0x22025544, - 0x21fc468b, 0x21f637be, - 0x21f028db, 0x21ea19e3, 0x21e40ad7, 0x21ddfbb5, 0x21d7ec7f, 0x21d1dd34, - 0x21cbcdd3, 0x21c5be5e, - 0x21bfaed5, 0x21b99f36, 0x21b38f83, 0x21ad7fba, 0x21a76fdd, 0x21a15fec, - 0x219b4fe5, 0x21953fca, - 0x218f2f9a, 0x21891f55, 0x21830efc, 0x217cfe8e, 0x2176ee0b, 0x2170dd74, - 0x216accc8, 0x2164bc08, - 0x215eab33, 0x21589a49, 0x2152894b, 0x214c7838, 0x21466710, 0x214055d4, - 0x213a4484, 0x2134331f, - 0x212e21a6, 0x21281018, 0x2121fe76, 0x211becbf, 0x2115daf4, 0x210fc914, - 0x2109b720, 0x2103a518, - 0x20fd92fb, 0x20f780ca, 0x20f16e84, 0x20eb5c2b, 0x20e549bd, 0x20df373a, - 0x20d924a4, 0x20d311f9, - 0x20ccff3a, 0x20c6ec66, 0x20c0d97f, 0x20bac683, 0x20b4b373, 0x20aea04f, - 0x20a88d17, 0x20a279ca, - 0x209c666a, 0x209652f5, 0x20903f6c, 0x208a2bcf, 0x2084181e, 0x207e0459, - 0x2077f080, 0x2071dc93, - 0x206bc892, 0x2065b47d, 0x205fa054, 0x20598c17, 0x205377c6, 0x204d6361, - 0x20474ee8, 0x20413a5b, - 0x203b25bb, 0x20351106, 0x202efc3e, 0x2028e761, 0x2022d271, 0x201cbd6d, - 0x2016a856, 0x2010932a, - 0x200a7deb, 0x20046898, 0x1ffe5331, 0x1ff83db6, 0x1ff22828, 0x1fec1286, - 0x1fe5fcd0, 0x1fdfe707, - 0x1fd9d12a, 0x1fd3bb39, 0x1fcda535, 0x1fc78f1d, 0x1fc178f1, 0x1fbb62b2, - 0x1fb54c60, 0x1faf35f9, - 0x1fa91f80, 0x1fa308f2, 0x1f9cf252, 0x1f96db9d, 0x1f90c4d5, 0x1f8aadfa, - 0x1f84970b, 0x1f7e8009, - 0x1f7868f4, 0x1f7251ca, 0x1f6c3a8e, 0x1f66233e, 0x1f600bdb, 0x1f59f465, - 0x1f53dcdb, 0x1f4dc53d, - 0x1f47ad8d, 0x1f4195c9, 0x1f3b7df2, 0x1f356608, 0x1f2f4e0a, 0x1f2935f9, - 0x1f231dd5, 0x1f1d059e, - 0x1f16ed54, 0x1f10d4f6, 0x1f0abc85, 0x1f04a401, 0x1efe8b6a, 0x1ef872c0, - 0x1ef25a03, 0x1eec4132, - 0x1ee6284f, 0x1ee00f58, 0x1ed9f64f, 0x1ed3dd32, 0x1ecdc402, 0x1ec7aac0, - 0x1ec1916a, 0x1ebb7802, - 0x1eb55e86, 0x1eaf44f8, 0x1ea92b56, 0x1ea311a2, 0x1e9cf7db, 0x1e96de01, - 0x1e90c414, 0x1e8aaa14, - 0x1e849001, 0x1e7e75dc, 0x1e785ba3, 0x1e724158, 0x1e6c26fa, 0x1e660c8a, - 0x1e5ff206, 0x1e59d770, - 0x1e53bcc7, 0x1e4da20c, 0x1e47873d, 0x1e416c5d, 0x1e3b5169, 0x1e353663, - 0x1e2f1b4a, 0x1e29001e, - 0x1e22e4e0, 0x1e1cc990, 0x1e16ae2c, 0x1e1092b6, 0x1e0a772e, 0x1e045b93, - 0x1dfe3fe6, 0x1df82426, - 0x1df20853, 0x1debec6f, 0x1de5d077, 0x1ddfb46e, 0x1dd99851, 0x1dd37c23, - 0x1dcd5fe2, 0x1dc7438e, - 0x1dc12729, 0x1dbb0ab0, 0x1db4ee26, 0x1daed189, 0x1da8b4da, 0x1da29819, - 0x1d9c7b45, 0x1d965e5f, - 0x1d904167, 0x1d8a245c, 0x1d840740, 0x1d7dea11, 0x1d77ccd0, 0x1d71af7d, - 0x1d6b9217, 0x1d6574a0, - 0x1d5f5716, 0x1d59397a, 0x1d531bcc, 0x1d4cfe0d, 0x1d46e03a, 0x1d40c256, - 0x1d3aa460, 0x1d348658, - 0x1d2e683e, 0x1d284a12, 0x1d222bd3, 0x1d1c0d83, 0x1d15ef21, 0x1d0fd0ad, - 0x1d09b227, 0x1d03938f, - 0x1cfd74e5, 0x1cf7562a, 0x1cf1375c, 0x1ceb187d, 0x1ce4f98c, 0x1cdeda89, - 0x1cd8bb74, 0x1cd29c4d, - 0x1ccc7d15, 0x1cc65dca, 0x1cc03e6e, 0x1cba1f01, 0x1cb3ff81, 0x1caddff0, - 0x1ca7c04d, 0x1ca1a099, - 0x1c9b80d3, 0x1c9560fb, 0x1c8f4112, 0x1c892117, 0x1c83010a, 0x1c7ce0ec, - 0x1c76c0bc, 0x1c70a07b, - 0x1c6a8028, 0x1c645fc3, 0x1c5e3f4d, 0x1c581ec6, 0x1c51fe2d, 0x1c4bdd83, - 0x1c45bcc7, 0x1c3f9bf9, - 0x1c397b1b, 0x1c335a2b, 0x1c2d3929, 0x1c271816, 0x1c20f6f2, 0x1c1ad5bc, - 0x1c14b475, 0x1c0e931d, - 0x1c0871b4, 0x1c025039, 0x1bfc2ead, 0x1bf60d0f, 0x1befeb60, 0x1be9c9a1, - 0x1be3a7cf, 0x1bdd85ed, - 0x1bd763fa, 0x1bd141f5, 0x1bcb1fdf, 0x1bc4fdb8, 0x1bbedb80, 0x1bb8b937, - 0x1bb296dc, 0x1bac7471, - 0x1ba651f5, 0x1ba02f67, 0x1b9a0cc8, 0x1b93ea19, 0x1b8dc758, 0x1b87a487, - 0x1b8181a4, 0x1b7b5eb0, - 0x1b753bac, 0x1b6f1897, 0x1b68f570, 0x1b62d239, 0x1b5caef1, 0x1b568b98, - 0x1b50682e, 0x1b4a44b3, - 0x1b442127, 0x1b3dfd8b, 0x1b37d9de, 0x1b31b620, 0x1b2b9251, 0x1b256e71, - 0x1b1f4a81, 0x1b192680, - 0x1b13026e, 0x1b0cde4c, 0x1b06ba19, 0x1b0095d5, 0x1afa7180, 0x1af44d1b, - 0x1aee28a6, 0x1ae8041f, - 0x1ae1df88, 0x1adbbae1, 0x1ad59629, 0x1acf7160, 0x1ac94c87, 0x1ac3279d, - 0x1abd02a3, 0x1ab6dd98, - 0x1ab0b87d, 0x1aaa9352, 0x1aa46e16, 0x1a9e48c9, 0x1a98236c, 0x1a91fdff, - 0x1a8bd881, 0x1a85b2f3, - 0x1a7f8d54, 0x1a7967a6, 0x1a7341e6, 0x1a6d1c17, 0x1a66f637, 0x1a60d047, - 0x1a5aaa47, 0x1a548436, - 0x1a4e5e15, 0x1a4837e4, 0x1a4211a3, 0x1a3beb52, 0x1a35c4f0, 0x1a2f9e7e, - 0x1a2977fc, 0x1a23516a, - 0x1a1d2ac8, 0x1a170416, 0x1a10dd53, 0x1a0ab681, 0x1a048f9e, 0x19fe68ac, - 0x19f841a9, 0x19f21a96, - 0x19ebf374, 0x19e5cc41, 0x19dfa4fe, 0x19d97dac, 0x19d35649, 0x19cd2ed7, - 0x19c70754, 0x19c0dfc2, - 0x19bab820, 0x19b4906e, 0x19ae68ac, 0x19a840da, 0x19a218f9, 0x199bf107, - 0x1995c906, 0x198fa0f5, - 0x198978d4, 0x198350a4, 0x197d2864, 0x19770014, 0x1970d7b4, 0x196aaf45, - 0x196486c6, 0x195e5e37, - 0x19583599, 0x19520ceb, 0x194be42d, 0x1945bb60, 0x193f9283, 0x19396997, - 0x1933409b, 0x192d178f, - 0x1926ee74, 0x1920c54a, 0x191a9c10, 0x191472c6, 0x190e496d, 0x19082005, - 0x1901f68d, 0x18fbcd06, - 0x18f5a36f, 0x18ef79c9, 0x18e95014, 0x18e3264f, 0x18dcfc7b, 0x18d6d297, - 0x18d0a8a4, 0x18ca7ea2, - 0x18c45491, 0x18be2a70, 0x18b80040, 0x18b1d601, 0x18ababb2, 0x18a58154, - 0x189f56e8, 0x18992c6b, - 0x189301e0, 0x188cd746, 0x1886ac9c, 0x188081e4, 0x187a571c, 0x18742c45, - 0x186e015f, 0x1867d66a, - 0x1861ab66, 0x185b8053, 0x18555530, 0x184f29ff, 0x1848febf, 0x1842d370, - 0x183ca812, 0x18367ca5, - 0x18305129, 0x182a259e, 0x1823fa04, 0x181dce5b, 0x1817a2a4, 0x181176dd, - 0x180b4b08, 0x18051f24, - 0x17fef331, 0x17f8c72f, 0x17f29b1e, 0x17ec6eff, 0x17e642d1, 0x17e01694, - 0x17d9ea49, 0x17d3bdee, - 0x17cd9186, 0x17c7650e, 0x17c13888, 0x17bb0bf3, 0x17b4df4f, 0x17aeb29d, - 0x17a885dc, 0x17a2590d, - 0x179c2c2f, 0x1795ff42, 0x178fd247, 0x1789a53d, 0x17837825, 0x177d4afe, - 0x17771dc9, 0x1770f086, - 0x176ac333, 0x176495d3, 0x175e6864, 0x17583ae7, 0x17520d5b, 0x174bdfc1, - 0x1745b218, 0x173f8461, - 0x1739569c, 0x173328c8, 0x172cfae6, 0x1726ccf6, 0x17209ef8, 0x171a70eb, - 0x171442d0, 0x170e14a7, - 0x1707e670, 0x1701b82a, 0x16fb89d6, 0x16f55b74, 0x16ef2d04, 0x16e8fe86, - 0x16e2cff9, 0x16dca15f, - 0x16d672b6, 0x16d043ff, 0x16ca153a, 0x16c3e667, 0x16bdb787, 0x16b78898, - 0x16b1599b, 0x16ab2a90, - 0x16a4fb77, 0x169ecc50, 0x16989d1b, 0x16926dd8, 0x168c3e87, 0x16860f29, - 0x167fdfbc, 0x1679b042, - 0x167380ba, 0x166d5123, 0x1667217f, 0x1660f1ce, 0x165ac20e, 0x16549241, - 0x164e6266, 0x1648327d, - 0x16420286, 0x163bd282, 0x1635a270, 0x162f7250, 0x16294222, 0x162311e7, - 0x161ce19e, 0x1616b148, - 0x161080e4, 0x160a5072, 0x16041ff3, 0x15fdef66, 0x15f7becc, 0x15f18e24, - 0x15eb5d6e, 0x15e52cab, - 0x15defbdb, 0x15d8cafd, 0x15d29a11, 0x15cc6918, 0x15c63812, 0x15c006fe, - 0x15b9d5dd, 0x15b3a4ae, - 0x15ad7372, 0x15a74228, 0x15a110d2, 0x159adf6e, 0x1594adfc, 0x158e7c7d, - 0x15884af1, 0x15821958, - 0x157be7b1, 0x1575b5fe, 0x156f843c, 0x1569526e, 0x15632093, 0x155ceeaa, - 0x1556bcb4, 0x15508ab1, - 0x154a58a1, 0x15442683, 0x153df459, 0x1537c221, 0x15318fdd, 0x152b5d8b, - 0x15252b2c, 0x151ef8c0, - 0x1518c648, 0x151293c2, 0x150c612f, 0x15062e8f, 0x14fffbe2, 0x14f9c928, - 0x14f39662, 0x14ed638e, - 0x14e730ae, 0x14e0fdc0, 0x14dacac6, 0x14d497bf, 0x14ce64ab, 0x14c8318a, - 0x14c1fe5c, 0x14bbcb22, - 0x14b597da, 0x14af6486, 0x14a93125, 0x14a2fdb8, 0x149cca3e, 0x149696b7, - 0x14906323, 0x148a2f82, - 0x1483fbd5, 0x147dc81c, 0x14779455, 0x14716082, 0x146b2ca3, 0x1464f8b7, - 0x145ec4be, 0x145890b9, - 0x14525ca7, 0x144c2888, 0x1445f45d, 0x143fc026, 0x14398be2, 0x14335792, - 0x142d2335, 0x1426eecb, - 0x1420ba56, 0x141a85d3, 0x14145145, 0x140e1caa, 0x1407e803, 0x1401b34f, - 0x13fb7e8f, 0x13f549c3, - 0x13ef14ea, 0x13e8e005, 0x13e2ab14, 0x13dc7616, 0x13d6410d, 0x13d00bf7, - 0x13c9d6d4, 0x13c3a1a6, - 0x13bd6c6b, 0x13b73725, 0x13b101d2, 0x13aacc73, 0x13a49707, 0x139e6190, - 0x13982c0d, 0x1391f67d, - 0x138bc0e1, 0x13858b3a, 0x137f5586, 0x13791fc6, 0x1372e9fb, 0x136cb423, - 0x13667e3f, 0x13604850, - 0x135a1254, 0x1353dc4c, 0x134da639, 0x1347701a, 0x134139ee, 0x133b03b7, - 0x1334cd74, 0x132e9725, - 0x132860ca, 0x13222a64, 0x131bf3f2, 0x1315bd73, 0x130f86ea, 0x13095054, - 0x130319b3, 0x12fce305, - 0x12f6ac4d, 0x12f07588, 0x12ea3eb8, 0x12e407dc, 0x12ddd0f4, 0x12d79a01, - 0x12d16303, 0x12cb2bf8, - 0x12c4f4e2, 0x12bebdc1, 0x12b88693, 0x12b24f5b, 0x12ac1817, 0x12a5e0c7, - 0x129fa96c, 0x12997205, - 0x12933a93, 0x128d0315, 0x1286cb8c, 0x128093f7, 0x127a5c57, 0x127424ac, - 0x126decf5, 0x1267b533, - 0x12617d66, 0x125b458d, 0x12550da9, 0x124ed5ba, 0x12489dbf, 0x124265b9, - 0x123c2da8, 0x1235f58b, - 0x122fbd63, 0x12298530, 0x12234cf2, 0x121d14a9, 0x1216dc54, 0x1210a3f5, - 0x120a6b8a, 0x12043314, - 0x11fdfa93, 0x11f7c207, 0x11f18970, 0x11eb50cd, 0x11e51820, 0x11dedf68, - 0x11d8a6a4, 0x11d26dd6, - 0x11cc34fc, 0x11c5fc18, 0x11bfc329, 0x11b98a2e, 0x11b35129, 0x11ad1819, - 0x11a6defe, 0x11a0a5d8, - 0x119a6ca7, 0x1194336b, 0x118dfa25, 0x1187c0d3, 0x11818777, 0x117b4e10, - 0x1175149e, 0x116edb22, - 0x1168a19b, 0x11626809, 0x115c2e6c, 0x1155f4c4, 0x114fbb12, 0x11498156, - 0x1143478e, 0x113d0dbc, - 0x1136d3df, 0x113099f8, 0x112a6006, 0x11242609, 0x111dec02, 0x1117b1f0, - 0x111177d4, 0x110b3dad, - 0x1105037c, 0x10fec940, 0x10f88efa, 0x10f254a9, 0x10ec1a4e, 0x10e5dfe8, - 0x10dfa578, 0x10d96afe, - 0x10d33079, 0x10ccf5ea, 0x10c6bb50, 0x10c080ac, 0x10ba45fe, 0x10b40b45, - 0x10add082, 0x10a795b5, - 0x10a15ade, 0x109b1ffc, 0x1094e510, 0x108eaa1a, 0x10886f19, 0x1082340f, - 0x107bf8fa, 0x1075bddb, - 0x106f82b2, 0x1069477f, 0x10630c41, 0x105cd0fa, 0x105695a8, 0x10505a4d, - 0x104a1ee7, 0x1043e377, - 0x103da7fd, 0x10376c79, 0x103130ec, 0x102af554, 0x1024b9b2, 0x101e7e06, - 0x10184251, 0x10120691, - 0x100bcac7, 0x10058ef4, 0xfff5317, 0xff91730, 0xff2db3e, 0xfec9f44, - 0xfe6633f, 0xfe02730, - 0xfd9eb18, 0xfd3aef6, 0xfcd72ca, 0xfc73695, 0xfc0fa55, 0xfbabe0c, 0xfb481ba, - 0xfae455d, - 0xfa808f7, 0xfa1cc87, 0xf9b900e, 0xf95538b, 0xf8f16fe, 0xf88da68, 0xf829dc8, - 0xf7c611f, - 0xf76246c, 0xf6fe7af, 0xf69aae9, 0xf636e1a, 0xf5d3141, 0xf56f45e, 0xf50b773, - 0xf4a7a7d, - 0xf443d7e, 0xf3e0076, 0xf37c365, 0xf318649, 0xf2b4925, 0xf250bf7, 0xf1ecec0, - 0xf189180, - 0xf125436, 0xf0c16e3, 0xf05d987, 0xeff9c21, 0xef95eb2, 0xef3213a, 0xeece3b9, - 0xee6a62f, - 0xee0689b, 0xeda2afe, 0xed3ed58, 0xecdafa9, 0xec771f1, 0xec1342f, 0xebaf665, - 0xeb4b891, - 0xeae7ab4, 0xea83ccf, 0xea1fee0, 0xe9bc0e8, 0xe9582e7, 0xe8f44dd, 0xe8906cb, - 0xe82c8af, - 0xe7c8a8a, 0xe764c5c, 0xe700e26, 0xe69cfe6, 0xe63919e, 0xe5d534d, 0xe5714f3, - 0xe50d690, - 0xe4a9824, 0xe4459af, 0xe3e1b32, 0xe37dcac, 0xe319e1d, 0xe2b5f85, 0xe2520e5, - 0xe1ee23c, - 0xe18a38a, 0xe1264cf, 0xe0c260c, 0xe05e740, 0xdffa86b, 0xdf9698e, 0xdf32aa8, - 0xdecebba, - 0xde6acc3, 0xde06dc3, 0xdda2ebb, 0xdd3efab, 0xdcdb091, 0xdc77170, 0xdc13245, - 0xdbaf313, - 0xdb4b3d7, 0xdae7494, 0xda83548, 0xda1f5f3, 0xd9bb696, 0xd957731, 0xd8f37c3, - 0xd88f84d, - 0xd82b8cf, 0xd7c7948, 0xd7639b9, 0xd6ffa22, 0xd69ba82, 0xd637ada, 0xd5d3b2a, - 0xd56fb71, - 0xd50bbb1, 0xd4a7be8, 0xd443c17, 0xd3dfc3e, 0xd37bc5c, 0xd317c73, 0xd2b3c81, - 0xd24fc87, - 0xd1ebc85, 0xd187c7b, 0xd123c69, 0xd0bfc4f, 0xd05bc2d, 0xcff7c02, 0xcf93bd0, - 0xcf2fb96, - 0xcecbb53, 0xce67b09, 0xce03ab7, 0xcd9fa5d, 0xcd3b9fb, 0xccd7991, 0xcc7391f, - 0xcc0f8a5, - 0xcbab824, 0xcb4779a, 0xcae3709, 0xca7f670, 0xca1b5cf, 0xc9b7526, 0xc953475, - 0xc8ef3bd, - 0xc88b2fd, 0xc827235, 0xc7c3166, 0xc75f08f, 0xc6fafb0, 0xc696ec9, 0xc632ddb, - 0xc5cece5, - 0xc56abe8, 0xc506ae3, 0xc4a29d6, 0xc43e8c2, 0xc3da7a6, 0xc376683, 0xc312558, - 0xc2ae425, - 0xc24a2eb, 0xc1e61aa, 0xc182061, 0xc11df11, 0xc0b9db9, 0xc055c5a, 0xbff1af3, - 0xbf8d985, - 0xbf29810, 0xbec5693, 0xbe6150f, 0xbdfd383, 0xbd991f0, 0xbd35056, 0xbcd0eb5, - 0xbc6cd0c, - 0xbc08b5c, 0xbba49a5, 0xbb407e7, 0xbadc621, 0xba78454, 0xba14280, 0xb9b00a5, - 0xb94bec2, - 0xb8e7cd9, 0xb883ae8, 0xb81f8f0, 0xb7bb6f2, 0xb7574ec, 0xb6f32df, 0xb68f0cb, - 0xb62aeaf, - 0xb5c6c8d, 0xb562a64, 0xb4fe834, 0xb49a5fd, 0xb4363bf, 0xb3d217a, 0xb36df2e, - 0xb309cdb, - 0xb2a5a81, 0xb241820, 0xb1dd5b9, 0xb17934b, 0xb1150d5, 0xb0b0e59, 0xb04cbd6, - 0xafe894d, - 0xaf846bc, 0xaf20425, 0xaebc187, 0xae57ee2, 0xadf3c37, 0xad8f985, 0xad2b6cc, - 0xacc740c, - 0xac63146, 0xabfee79, 0xab9aba6, 0xab368cc, 0xaad25eb, 0xaa6e304, 0xaa0a016, - 0xa9a5d22, - 0xa941a27, 0xa8dd725, 0xa87941d, 0xa81510f, 0xa7b0dfa, 0xa74cadf, 0xa6e87bd, - 0xa684495, - 0xa620166, 0xa5bbe31, 0xa557af5, 0xa4f37b3, 0xa48f46b, 0xa42b11d, 0xa3c6dc8, - 0xa362a6d, - 0xa2fe70b, 0xa29a3a3, 0xa236035, 0xa1d1cc1, 0xa16d946, 0xa1095c6, 0xa0a523f, - 0xa040eb1, - 0x9fdcb1e, 0x9f78784, 0x9f143e5, 0x9eb003f, 0x9e4bc93, 0x9de78e1, 0x9d83529, - 0x9d1f16b, - 0x9cbada7, 0x9c569dc, 0x9bf260c, 0x9b8e236, 0x9b29e59, 0x9ac5a77, 0x9a6168f, - 0x99fd2a0, - 0x9998eac, 0x9934ab2, 0x98d06b2, 0x986c2ac, 0x9807ea1, 0x97a3a8f, 0x973f678, - 0x96db25a, - 0x9676e37, 0x9612a0e, 0x95ae5e0, 0x954a1ab, 0x94e5d71, 0x9481931, 0x941d4eb, - 0x93b90a0, - 0x9354c4f, 0x92f07f8, 0x928c39b, 0x9227f39, 0x91c3ad2, 0x915f664, 0x90fb1f1, - 0x9096d79, - 0x90328fb, 0x8fce477, 0x8f69fee, 0x8f05b5f, 0x8ea16cb, 0x8e3d231, 0x8dd8d92, - 0x8d748ed, - 0x8d10443, 0x8cabf93, 0x8c47ade, 0x8be3624, 0x8b7f164, 0x8b1ac9f, 0x8ab67d4, - 0x8a52304, - 0x89ede2f, 0x8989955, 0x8925475, 0x88c0f90, 0x885caa5, 0x87f85b5, 0x87940c1, - 0x872fbc6, - 0x86cb6c7, 0x86671c2, 0x8602cb9, 0x859e7aa, 0x853a296, 0x84d5d7d, 0x847185e, - 0x840d33b, - 0x83a8e12, 0x83448e5, 0x82e03b2, 0x827be7a, 0x821793e, 0x81b33fc, 0x814eeb5, - 0x80ea969, - 0x8086419, 0x8021ec3, 0x7fbd968, 0x7f59409, 0x7ef4ea4, 0x7e9093b, 0x7e2c3cd, - 0x7dc7e5a, - 0x7d638e2, 0x7cff365, 0x7c9ade4, 0x7c3685d, 0x7bd22d2, 0x7b6dd42, 0x7b097ad, - 0x7aa5214, - 0x7a40c76, 0x79dc6d3, 0x797812b, 0x7913b7f, 0x78af5ce, 0x784b019, 0x77e6a5e, - 0x77824a0, - 0x771dedc, 0x76b9914, 0x7655347, 0x75f0d76, 0x758c7a1, 0x75281c6, 0x74c3be7, - 0x745f604, - 0x73fb01c, 0x7396a30, 0x733243f, 0x72cde4a, 0x7269851, 0x7205253, 0x71a0c50, - 0x713c64a, - 0x70d803f, 0x7073a2f, 0x700f41b, 0x6faae03, 0x6f467e7, 0x6ee21c6, 0x6e7dba1, - 0x6e19578, - 0x6db4f4a, 0x6d50919, 0x6cec2e3, 0x6c87ca9, 0x6c2366a, 0x6bbf028, 0x6b5a9e1, - 0x6af6396, - 0x6a91d47, 0x6a2d6f4, 0x69c909d, 0x6964a42, 0x69003e3, 0x689bd80, 0x6837718, - 0x67d30ad, - 0x676ea3d, 0x670a3ca, 0x66a5d53, 0x66416d8, 0x65dd058, 0x65789d5, 0x651434e, - 0x64afcc3, - 0x644b634, 0x63e6fa2, 0x638290b, 0x631e271, 0x62b9bd3, 0x6255531, 0x61f0e8b, - 0x618c7e1, - 0x6128134, 0x60c3a83, 0x605f3ce, 0x5ffad15, 0x5f96659, 0x5f31f99, 0x5ecd8d6, - 0x5e6920e, - 0x5e04b43, 0x5da0475, 0x5d3bda3, 0x5cd76cd, 0x5c72ff4, 0x5c0e917, 0x5baa237, - 0x5b45b53, - 0x5ae146b, 0x5a7cd80, 0x5a18692, 0x59b3fa0, 0x594f8aa, 0x58eb1b2, 0x5886ab5, - 0x58223b6, - 0x57bdcb3, 0x57595ac, 0x56f4ea2, 0x5690795, 0x562c085, 0x55c7971, 0x556325a, - 0x54feb3f, - 0x549a422, 0x5435d01, 0x53d15dd, 0x536ceb5, 0x530878a, 0x52a405d, 0x523f92c, - 0x51db1f7, - 0x5176ac0, 0x5112385, 0x50adc48, 0x5049507, 0x4fe4dc3, 0x4f8067c, 0x4f1bf32, - 0x4eb77e5, - 0x4e53095, 0x4dee942, 0x4d8a1ec, 0x4d25a93, 0x4cc1337, 0x4c5cbd8, 0x4bf8476, - 0x4b93d11, - 0x4b2f5a9, 0x4acae3e, 0x4a666d1, 0x4a01f60, 0x499d7ed, 0x4939077, 0x48d48fe, - 0x4870182, - 0x480ba04, 0x47a7282, 0x4742afe, 0x46de377, 0x4679bee, 0x4615461, 0x45b0cd2, - 0x454c541, - 0x44e7dac, 0x4483615, 0x441ee7c, 0x43ba6df, 0x4355f40, 0x42f179f, 0x428cffb, - 0x4228854, - 0x41c40ab, 0x415f8ff, 0x40fb151, 0x40969a0, 0x40321ed, 0x3fcda37, 0x3f6927f, - 0x3f04ac4, - 0x3ea0307, 0x3e3bb48, 0x3dd7386, 0x3d72bc2, 0x3d0e3fb, 0x3ca9c32, 0x3c45467, - 0x3be0c99, - 0x3b7c4c9, 0x3b17cf7, 0x3ab3523, 0x3a4ed4c, 0x39ea573, 0x3985d97, 0x39215ba, - 0x38bcdda, - 0x38585f8, 0x37f3e14, 0x378f62e, 0x372ae46, 0x36c665b, 0x3661e6f, 0x35fd680, - 0x3598e8f, - 0x353469c, 0x34cfea8, 0x346b6b1, 0x3406eb8, 0x33a26bd, 0x333dec0, 0x32d96c1, - 0x3274ec0, - 0x32106bd, 0x31abeb9, 0x31476b2, 0x30e2ea9, 0x307e69f, 0x3019e93, 0x2fb5684, - 0x2f50e74, - 0x2eec663, 0x2e87e4f, 0x2e2363a, 0x2dbee22, 0x2d5a609, 0x2cf5def, 0x2c915d2, - 0x2c2cdb4, - 0x2bc8594, 0x2b63d73, 0x2aff54f, 0x2a9ad2a, 0x2a36504, 0x29d1cdc, 0x296d4b2, - 0x2908c87, - 0x28a445a, 0x283fc2b, 0x27db3fb, 0x2776bc9, 0x2712396, 0x26adb62, 0x264932b, - 0x25e4af4, - 0x25802bb, 0x251ba80, 0x24b7244, 0x2452a07, 0x23ee1c8, 0x2389988, 0x2325147, - 0x22c0904, - 0x225c0bf, 0x21f787a, 0x2193033, 0x212e7eb, 0x20c9fa1, 0x2065757, 0x2000f0b, - 0x1f9c6be, - 0x1f37e6f, 0x1ed3620, 0x1e6edcf, 0x1e0a57d, 0x1da5d2a, 0x1d414d6, 0x1cdcc80, - 0x1c7842a, - 0x1c13bd2, 0x1baf37a, 0x1b4ab20, 0x1ae62c5, 0x1a81a69, 0x1a1d20c, 0x19b89ae, - 0x1954150, - 0x18ef8f0, 0x188b08f, 0x182682d, 0x17c1fcb, 0x175d767, 0x16f8f03, 0x169469d, - 0x162fe37, - 0x15cb5d0, 0x1566d68, 0x15024ff, 0x149dc96, 0x143942b, 0x13d4bc0, 0x1370354, - 0x130bae7, - 0x12a727a, 0x1242a0c, 0x11de19d, 0x117992e, 0x11150be, 0x10b084d, 0x104bfdb, - 0xfe7769, - 0xf82ef6, 0xf1e683, 0xeb9e0f, 0xe5559b, 0xdf0d26, 0xd8c4b0, 0xd27c3a, - 0xcc33c3, - 0xc5eb4c, 0xbfa2d5, 0xb95a5d, 0xb311e4, 0xacc96b, 0xa680f2, 0xa03878, - 0x99effe, - 0x93a784, 0x8d5f09, 0x87168e, 0x80ce12, 0x7a8597, 0x743d1a, 0x6df49e, - 0x67ac21, - 0x6163a5, 0x5b1b27, 0x54d2aa, 0x4e8a2c, 0x4841af, 0x41f931, 0x3bb0b3, - 0x356835, - 0x2f1fb6, 0x28d738, 0x228eb9, 0x1c463b, 0x15fdbc, 0xfb53d, 0x96cbe, 0x3243f, - -}; - -/** - * @brief Initialization function for the Q31 DCT4/IDCT4. - * @param[in,out] *S points to an instance of Q31 DCT4/IDCT4 structure. - * @param[in] *S_RFFT points to an instance of Q31 RFFT/RIFFT structure - * @param[in] *S_CFFT points to an instance of Q31 CFFT/CIFFT structure - * @param[in] N length of the DCT4. - * @param[in] Nby2 half of the length of the DCT4. - * @param[in] normalize normalizing factor. - * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length. - * \par Normalizing factor: - * The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>. - * Normalizing factors in 1.31 format are mentioned in the table below for different DCT sizes: - * \image html dct4NormalizingQ31Table.gif - */ - -arm_status arm_dct4_init_q31( - arm_dct4_instance_q31 * S, - arm_rfft_instance_q31 * S_RFFT, - arm_cfft_radix4_instance_q31 * S_CFFT, - uint16_t N, - uint16_t Nby2, - q31_t normalize) -{ - /* Initialise the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - - /* Initializing the pointer array with the weight table base addresses of different lengths */ - q31_t *twiddlePtr[4] = { (q31_t *) WeightsQ31_128, (q31_t *) WeightsQ31_512, - (q31_t *) WeightsQ31_2048, (q31_t *) WeightsQ31_8192 - }; - - /* Initializing the pointer array with the cos factor table base addresses of different lengths */ - q31_t *pCosFactor[4] = - { (q31_t *) cos_factorsQ31_128, (q31_t *) cos_factorsQ31_512, - (q31_t *) cos_factorsQ31_2048, (q31_t *) cos_factorsQ31_8192 - }; - - /* Initialize the DCT4 length */ - S->N = N; - - /* Initialize the half of DCT4 length */ - S->Nby2 = Nby2; - - /* Initialize the DCT4 Normalizing factor */ - S->normalize = normalize; - - /* Initialize Real FFT Instance */ - S->pRfft = S_RFFT; - - /* Initialize Complex FFT Instance */ - S->pCfft = S_CFFT; - - switch (N) - { - /* Initialize the table modifier values */ - case 8192u: - S->pTwiddle = twiddlePtr[3]; - S->pCosFactor = pCosFactor[3]; - break; - case 2048u: - S->pTwiddle = twiddlePtr[2]; - S->pCosFactor = pCosFactor[2]; - break; - case 512u: - S->pTwiddle = twiddlePtr[1]; - S->pCosFactor = pCosFactor[1]; - break; - case 128u: - S->pTwiddle = twiddlePtr[0]; - S->pCosFactor = pCosFactor[0]; - break; - default: - status = ARM_MATH_ARGUMENT_ERROR; - } - - /* Initialize the RFFT/RIFFT Function */ - arm_rfft_init_q31(S->pRfft, S->pCfft, S->N, 0, 1); - - /* return the status of DCT4 Init function */ - return (status); -} - -/** - * @} end of DCT4_IDCT4 group - */
--- a/cmsis_dsp/TransformFunctions/arm_dct4_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,394 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_dct4_q15.c -* -* Description: Processing function of DCT4 & IDCT4 Q15. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @addtogroup DCT4_IDCT4 - * @{ - */ - -/** - * @brief Processing function for the Q15 DCT4/IDCT4. - * @param[in] *S points to an instance of the Q15 DCT4 structure. - * @param[in] *pState points to state buffer. - * @param[in,out] *pInlineBuffer points to the in-place input and output buffer. - * @return none. - * - * \par Input an output formats: - * Internally inputs are downscaled in the RFFT process function to avoid overflows. - * Number of bits downscaled, depends on the size of the transform. - * The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below: - * - * \image html dct4FormatsQ15Table.gif - */ - -void arm_dct4_q15( - const arm_dct4_instance_q15 * S, - q15_t * pState, - q15_t * pInlineBuffer) -{ - uint32_t i; /* Loop counter */ - q15_t *weights = S->pTwiddle; /* Pointer to the Weights table */ - q15_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */ - q15_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */ - q15_t in; /* Temporary variable */ - - - /* DCT4 computation involves DCT2 (which is calculated using RFFT) - * along with some pre-processing and post-processing. - * Computational procedure is explained as follows: - * (a) Pre-processing involves multiplying input with cos factor, - * r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n)) - * where, - * r(n) -- output of preprocessing - * u(n) -- input to preprocessing(actual Source buffer) - * (b) Calculation of DCT2 using FFT is divided into three steps: - * Step1: Re-ordering of even and odd elements of input. - * Step2: Calculating FFT of the re-ordered input. - * Step3: Taking the real part of the product of FFT output and weights. - * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation: - * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) - * where, - * Y4 -- DCT4 output, Y2 -- DCT2 output - * (d) Multiplying the output with the normalizing factor sqrt(2/N). - */ - - /*-------- Pre-processing ------------*/ - /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */ - arm_mult_q15(pInlineBuffer, cosFact, pInlineBuffer, S->N); - arm_shift_q15(pInlineBuffer, 1, pInlineBuffer, S->N); - - /* ---------------------------------------------------------------- - * Step1: Re-ordering of even and odd elements as - * pState[i] = pInlineBuffer[2*i] and - * pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2 - ---------------------------------------------------------------------*/ - - /* pS1 initialized to pState */ - pS1 = pState; - - /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */ - pS2 = pState + (S->N - 1u); - - /* pbuff initialized to input buffer */ - pbuff = pInlineBuffer; - - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */ - i = (uint32_t) S->Nby2 >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - do - { - /* Re-ordering of even and odd elements */ - /* pState[i] = pInlineBuffer[2*i] */ - *pS1++ = *pbuff++; - /* pState[N-i-1] = pInlineBuffer[2*i+1] */ - *pS2-- = *pbuff++; - - *pS1++ = *pbuff++; - *pS2-- = *pbuff++; - - *pS1++ = *pbuff++; - *pS2-- = *pbuff++; - - *pS1++ = *pbuff++; - *pS2-- = *pbuff++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - /* pbuff initialized to input buffer */ - pbuff = pInlineBuffer; - - /* pS1 initialized to pState */ - pS1 = pState; - - /* Initializing the loop counter to N/4 instead of N for loop unrolling */ - i = (uint32_t) S->N >> 2u; - - /* Processing with loop unrolling 4 times as N is always multiple of 4. - * Compute 4 outputs at a time */ - do - { - /* Writing the re-ordered output back to inplace input buffer */ - *pbuff++ = *pS1++; - *pbuff++ = *pS1++; - *pbuff++ = *pS1++; - *pbuff++ = *pS1++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - - /* --------------------------------------------------------- - * Step2: Calculate RFFT for N-point input - * ---------------------------------------------------------- */ - /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ - arm_rfft_q15(S->pRfft, pInlineBuffer, pState); - - /*---------------------------------------------------------------------- - * Step3: Multiply the FFT output with the weights. - *----------------------------------------------------------------------*/ - arm_cmplx_mult_cmplx_q15(pState, weights, pState, S->N); - - /* The output of complex multiplication is in 3.13 format. - * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */ - arm_shift_q15(pState, 2, pState, S->N * 2); - - /* ----------- Post-processing ---------- */ - /* DCT-IV can be obtained from DCT-II by the equation, - * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) - * Hence, Y4(0) = Y2(0)/2 */ - /* Getting only real part from the output and Converting to DCT-IV */ - - /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */ - i = ((uint32_t) S->N - 1u) >> 2u; - - /* pbuff initialized to input buffer. */ - pbuff = pInlineBuffer; - - /* pS1 initialized to pState */ - pS1 = pState; - - /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ - in = *pS1++ >> 1u; - /* input buffer acts as inplace, so output values are stored in the input itself. */ - *pbuff++ = in; - - /* pState pointer is incremented twice as the real values are located alternatively in the array */ - pS1++; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - do - { - /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ - /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ - in = *pS1++ - in; - *pbuff++ = in; - /* points to the next real value */ - pS1++; - - in = *pS1++ - in; - *pbuff++ = in; - pS1++; - - in = *pS1++ - in; - *pbuff++ = in; - pS1++; - - in = *pS1++ - in; - *pbuff++ = in; - pS1++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - i = ((uint32_t) S->N - 1u) % 0x4u; - - while(i > 0u) - { - /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ - /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ - in = *pS1++ - in; - *pbuff++ = in; - /* points to the next real value */ - pS1++; - - /* Decrement the loop counter */ - i--; - } - - - /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ - - /* Initializing the loop counter to N/4 instead of N for loop unrolling */ - i = (uint32_t) S->N >> 2u; - - /* pbuff initialized to the pInlineBuffer(now contains the output values) */ - pbuff = pInlineBuffer; - - /* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */ - do - { - /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ - in = *pbuff; - *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); - - in = *pbuff; - *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); - - in = *pbuff; - *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); - - in = *pbuff; - *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initializing the loop counter to N/2 */ - i = (uint32_t) S->Nby2; - - do - { - /* Re-ordering of even and odd elements */ - /* pState[i] = pInlineBuffer[2*i] */ - *pS1++ = *pbuff++; - /* pState[N-i-1] = pInlineBuffer[2*i+1] */ - *pS2-- = *pbuff++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - /* pbuff initialized to input buffer */ - pbuff = pInlineBuffer; - - /* pS1 initialized to pState */ - pS1 = pState; - - /* Initializing the loop counter */ - i = (uint32_t) S->N; - - do - { - /* Writing the re-ordered output back to inplace input buffer */ - *pbuff++ = *pS1++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - - /* --------------------------------------------------------- - * Step2: Calculate RFFT for N-point input - * ---------------------------------------------------------- */ - /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ - arm_rfft_q15(S->pRfft, pInlineBuffer, pState); - - /*---------------------------------------------------------------------- - * Step3: Multiply the FFT output with the weights. - *----------------------------------------------------------------------*/ - arm_cmplx_mult_cmplx_q15(pState, weights, pState, S->N); - - /* The output of complex multiplication is in 3.13 format. - * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */ - arm_shift_q15(pState, 2, pState, S->N * 2); - - /* ----------- Post-processing ---------- */ - /* DCT-IV can be obtained from DCT-II by the equation, - * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) - * Hence, Y4(0) = Y2(0)/2 */ - /* Getting only real part from the output and Converting to DCT-IV */ - - /* Initializing the loop counter */ - i = ((uint32_t) S->N - 1u); - - /* pbuff initialized to input buffer. */ - pbuff = pInlineBuffer; - - /* pS1 initialized to pState */ - pS1 = pState; - - /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ - in = *pS1++ >> 1u; - /* input buffer acts as inplace, so output values are stored in the input itself. */ - *pbuff++ = in; - - /* pState pointer is incremented twice as the real values are located alternatively in the array */ - pS1++; - - do - { - /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ - /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ - in = *pS1++ - in; - *pbuff++ = in; - /* points to the next real value */ - pS1++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ - - /* Initializing the loop counter */ - i = (uint32_t) S->N; - - /* pbuff initialized to the pInlineBuffer(now contains the output values) */ - pbuff = pInlineBuffer; - - do - { - /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ - in = *pbuff; - *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of DCT4_IDCT4 group - */
--- a/cmsis_dsp/TransformFunctions/arm_dct4_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,395 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_dct4_q31.c -* -* Description: Processing function of DCT4 & IDCT4 Q31. -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @addtogroup DCT4_IDCT4 - * @{ - */ - -/** - * @brief Processing function for the Q31 DCT4/IDCT4. - * @param[in] *S points to an instance of the Q31 DCT4 structure. - * @param[in] *pState points to state buffer. - * @param[in,out] *pInlineBuffer points to the in-place input and output buffer. - * @return none. - * \par Input an output formats: - * Input samples need to be downscaled by 1 bit to avoid saturations in the Q31 DCT process, - * as the conversion from DCT2 to DCT4 involves one subtraction. - * Internally inputs are downscaled in the RFFT process function to avoid overflows. - * Number of bits downscaled, depends on the size of the transform. - * The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below: - * - * \image html dct4FormatsQ31Table.gif - */ - -void arm_dct4_q31( - const arm_dct4_instance_q31 * S, - q31_t * pState, - q31_t * pInlineBuffer) -{ - uint16_t i; /* Loop counter */ - q31_t *weights = S->pTwiddle; /* Pointer to the Weights table */ - q31_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */ - q31_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */ - q31_t in; /* Temporary variable */ - - - /* DCT4 computation involves DCT2 (which is calculated using RFFT) - * along with some pre-processing and post-processing. - * Computational procedure is explained as follows: - * (a) Pre-processing involves multiplying input with cos factor, - * r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n)) - * where, - * r(n) -- output of preprocessing - * u(n) -- input to preprocessing(actual Source buffer) - * (b) Calculation of DCT2 using FFT is divided into three steps: - * Step1: Re-ordering of even and odd elements of input. - * Step2: Calculating FFT of the re-ordered input. - * Step3: Taking the real part of the product of FFT output and weights. - * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation: - * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) - * where, - * Y4 -- DCT4 output, Y2 -- DCT2 output - * (d) Multiplying the output with the normalizing factor sqrt(2/N). - */ - - /*-------- Pre-processing ------------*/ - /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */ - arm_mult_q31(pInlineBuffer, cosFact, pInlineBuffer, S->N); - arm_shift_q31(pInlineBuffer, 1, pInlineBuffer, S->N); - - /* ---------------------------------------------------------------- - * Step1: Re-ordering of even and odd elements as - * pState[i] = pInlineBuffer[2*i] and - * pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2 - ---------------------------------------------------------------------*/ - - /* pS1 initialized to pState */ - pS1 = pState; - - /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */ - pS2 = pState + (S->N - 1u); - - /* pbuff initialized to input buffer */ - pbuff = pInlineBuffer; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */ - i = S->Nby2 >> 2u; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - do - { - /* Re-ordering of even and odd elements */ - /* pState[i] = pInlineBuffer[2*i] */ - *pS1++ = *pbuff++; - /* pState[N-i-1] = pInlineBuffer[2*i+1] */ - *pS2-- = *pbuff++; - - *pS1++ = *pbuff++; - *pS2-- = *pbuff++; - - *pS1++ = *pbuff++; - *pS2-- = *pbuff++; - - *pS1++ = *pbuff++; - *pS2-- = *pbuff++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - /* pbuff initialized to input buffer */ - pbuff = pInlineBuffer; - - /* pS1 initialized to pState */ - pS1 = pState; - - /* Initializing the loop counter to N/4 instead of N for loop unrolling */ - i = S->N >> 2u; - - /* Processing with loop unrolling 4 times as N is always multiple of 4. - * Compute 4 outputs at a time */ - do - { - /* Writing the re-ordered output back to inplace input buffer */ - *pbuff++ = *pS1++; - *pbuff++ = *pS1++; - *pbuff++ = *pS1++; - *pbuff++ = *pS1++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - - /* --------------------------------------------------------- - * Step2: Calculate RFFT for N-point input - * ---------------------------------------------------------- */ - /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ - arm_rfft_q31(S->pRfft, pInlineBuffer, pState); - - /*---------------------------------------------------------------------- - * Step3: Multiply the FFT output with the weights. - *----------------------------------------------------------------------*/ - arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N); - - /* The output of complex multiplication is in 3.29 format. - * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */ - arm_shift_q31(pState, 2, pState, S->N * 2); - - /* ----------- Post-processing ---------- */ - /* DCT-IV can be obtained from DCT-II by the equation, - * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) - * Hence, Y4(0) = Y2(0)/2 */ - /* Getting only real part from the output and Converting to DCT-IV */ - - /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */ - i = (S->N - 1u) >> 2u; - - /* pbuff initialized to input buffer. */ - pbuff = pInlineBuffer; - - /* pS1 initialized to pState */ - pS1 = pState; - - /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ - in = *pS1++ >> 1u; - /* input buffer acts as inplace, so output values are stored in the input itself. */ - *pbuff++ = in; - - /* pState pointer is incremented twice as the real values are located alternatively in the array */ - pS1++; - - /* First part of the processing with loop unrolling. Compute 4 outputs at a time. - ** a second loop below computes the remaining 1 to 3 samples. */ - do - { - /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ - /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ - in = *pS1++ - in; - *pbuff++ = in; - /* points to the next real value */ - pS1++; - - in = *pS1++ - in; - *pbuff++ = in; - pS1++; - - in = *pS1++ - in; - *pbuff++ = in; - pS1++; - - in = *pS1++ - in; - *pbuff++ = in; - pS1++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - /* If the blockSize is not a multiple of 4, compute any remaining output samples here. - ** No loop unrolling is used. */ - i = (S->N - 1u) % 0x4u; - - while(i > 0u) - { - /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ - /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ - in = *pS1++ - in; - *pbuff++ = in; - /* points to the next real value */ - pS1++; - - /* Decrement the loop counter */ - i--; - } - - - /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ - - /* Initializing the loop counter to N/4 instead of N for loop unrolling */ - i = S->N >> 2u; - - /* pbuff initialized to the pInlineBuffer(now contains the output values) */ - pbuff = pInlineBuffer; - - /* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */ - do - { - /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ - in = *pbuff; - *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); - - in = *pbuff; - *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); - - in = *pbuff; - *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); - - in = *pbuff; - *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - -#else - - /* Run the below code for Cortex-M0 */ - - /* Initializing the loop counter to N/2 */ - i = S->Nby2; - - do - { - /* Re-ordering of even and odd elements */ - /* pState[i] = pInlineBuffer[2*i] */ - *pS1++ = *pbuff++; - /* pState[N-i-1] = pInlineBuffer[2*i+1] */ - *pS2-- = *pbuff++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - /* pbuff initialized to input buffer */ - pbuff = pInlineBuffer; - - /* pS1 initialized to pState */ - pS1 = pState; - - /* Initializing the loop counter */ - i = S->N; - - do - { - /* Writing the re-ordered output back to inplace input buffer */ - *pbuff++ = *pS1++; - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - - - /* --------------------------------------------------------- - * Step2: Calculate RFFT for N-point input - * ---------------------------------------------------------- */ - /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ - arm_rfft_q31(S->pRfft, pInlineBuffer, pState); - - /*---------------------------------------------------------------------- - * Step3: Multiply the FFT output with the weights. - *----------------------------------------------------------------------*/ - arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N); - - /* The output of complex multiplication is in 3.29 format. - * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */ - arm_shift_q31(pState, 2, pState, S->N * 2); - - /* ----------- Post-processing ---------- */ - /* DCT-IV can be obtained from DCT-II by the equation, - * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) - * Hence, Y4(0) = Y2(0)/2 */ - /* Getting only real part from the output and Converting to DCT-IV */ - - /* pbuff initialized to input buffer. */ - pbuff = pInlineBuffer; - - /* pS1 initialized to pState */ - pS1 = pState; - - /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ - in = *pS1++ >> 1u; - /* input buffer acts as inplace, so output values are stored in the input itself. */ - *pbuff++ = in; - - /* pState pointer is incremented twice as the real values are located alternatively in the array */ - pS1++; - - /* Initializing the loop counter */ - i = (S->N - 1u); - - while(i > 0u) - { - /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ - /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ - in = *pS1++ - in; - *pbuff++ = in; - /* points to the next real value */ - pS1++; - - /* Decrement the loop counter */ - i--; - } - - - /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ - - /* Initializing the loop counter */ - i = S->N; - - /* pbuff initialized to the pInlineBuffer(now contains the output values) */ - pbuff = pInlineBuffer; - - do - { - /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ - in = *pbuff; - *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); - - /* Decrement the loop counter */ - i--; - } while(i > 0u); - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - -/** - * @} end of DCT4_IDCT4 group - */
--- a/cmsis_dsp/TransformFunctions/arm_rfft_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,329 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_rfft_f32.c -* -* Description: RFFT & RIFFT Floating point process function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -extern void arm_radix4_butterfly_f32( - float32_t * pSrc, - uint16_t fftLen, - float32_t * pCoef, - uint16_t twidCoefModifier); - -extern void arm_radix4_butterfly_inverse_f32( - float32_t * pSrc, - uint16_t fftLen, - float32_t * pCoef, - uint16_t twidCoefModifier, - float32_t onebyfftLen); - -extern void arm_bitreversal_f32( - float32_t * pSrc, - uint16_t fftSize, - uint16_t bitRevFactor, - uint16_t * pBitRevTab); - -/** - * @ingroup groupTransforms - */ - -/*-------------------------------------------------------------------- - * Internal functions prototypes - *--------------------------------------------------------------------*/ - -void arm_split_rfft_f32( - float32_t * pSrc, - uint32_t fftLen, - float32_t * pATable, - float32_t * pBTable, - float32_t * pDst, - uint32_t modifier); -void arm_split_rifft_f32( - float32_t * pSrc, - uint32_t fftLen, - float32_t * pATable, - float32_t * pBTable, - float32_t * pDst, - uint32_t modifier); - -/** - * @addtogroup RealFFT - * @{ - */ - -/** - * @brief Processing function for the floating-point RFFT/RIFFT. - * @deprecated Do not use this function. It has been superceded by \ref arm_rfft_fast_f32 and will be removed - * in the future. - * @param[in] *S points to an instance of the floating-point RFFT/RIFFT structure. - * @param[in] *pSrc points to the input buffer. - * @param[out] *pDst points to the output buffer. - * @return none. - */ - -void arm_rfft_f32( - const arm_rfft_instance_f32 * S, - float32_t * pSrc, - float32_t * pDst) -{ - const arm_cfft_radix4_instance_f32 *S_CFFT = S->pCfft; - - - /* Calculation of Real IFFT of input */ - if(S->ifftFlagR == 1u) - { - /* Real IFFT core process */ - arm_split_rifft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal, - S->pTwiddleBReal, pDst, S->twidCoefRModifier); - - - /* Complex radix-4 IFFT process */ - arm_radix4_butterfly_inverse_f32(pDst, S_CFFT->fftLen, - S_CFFT->pTwiddle, - S_CFFT->twidCoefModifier, - S_CFFT->onebyfftLen); - - /* Bit reversal process */ - if(S->bitReverseFlagR == 1u) - { - arm_bitreversal_f32(pDst, S_CFFT->fftLen, - S_CFFT->bitRevFactor, S_CFFT->pBitRevTable); - } - } - else - { - - /* Calculation of RFFT of input */ - - /* Complex radix-4 FFT process */ - arm_radix4_butterfly_f32(pSrc, S_CFFT->fftLen, - S_CFFT->pTwiddle, S_CFFT->twidCoefModifier); - - /* Bit reversal process */ - if(S->bitReverseFlagR == 1u) - { - arm_bitreversal_f32(pSrc, S_CFFT->fftLen, - S_CFFT->bitRevFactor, S_CFFT->pBitRevTable); - } - - - /* Real FFT core process */ - arm_split_rfft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal, - S->pTwiddleBReal, pDst, S->twidCoefRModifier); - } - -} - -/** - * @} end of RealFFT group - */ - -/** - * @brief Core Real FFT process - * @param[in] *pSrc points to the input buffer. - * @param[in] fftLen length of FFT. - * @param[in] *pATable points to the twiddle Coef A buffer. - * @param[in] *pBTable points to the twiddle Coef B buffer. - * @param[out] *pDst points to the output buffer. - * @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. - * @return none. - */ - -void arm_split_rfft_f32( - float32_t * pSrc, - uint32_t fftLen, - float32_t * pATable, - float32_t * pBTable, - float32_t * pDst, - uint32_t modifier) -{ - uint32_t i; /* Loop Counter */ - float32_t outR, outI; /* Temporary variables for output */ - float32_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ - float32_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */ - float32_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4u * fftLen) - 1u]; /* temp pointers for output buffer */ - float32_t *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2u * fftLen) - 1u]; /* temp pointers for input buffer */ - - /* Init coefficient pointers */ - pCoefA = &pATable[modifier * 2u]; - pCoefB = &pBTable[modifier * 2u]; - - i = fftLen - 1u; - - while(i > 0u) - { - /* - outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] - + pSrc[2 * n - 2 * i] * pBTable[2 * i] + - pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); - */ - - /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] + - pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */ - - /* read pATable[2 * i] */ - CoefA1 = *pCoefA++; - /* pATable[2 * i + 1] */ - CoefA2 = *pCoefA; - - /* pSrc[2 * i] * pATable[2 * i] */ - outR = *pSrc1 * CoefA1; - /* pSrc[2 * i] * CoefA2 */ - outI = *pSrc1++ * CoefA2; - - /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */ - outR -= (*pSrc1 + *pSrc2) * CoefA2; - /* pSrc[2 * i + 1] * CoefA1 */ - outI += *pSrc1++ * CoefA1; - - CoefB1 = *pCoefB; - - /* pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */ - outI -= *pSrc2-- * CoefB1; - /* pSrc[2 * fftLen - 2 * i] * CoefA2 */ - outI -= *pSrc2 * CoefA2; - - /* pSrc[2 * fftLen - 2 * i] * CoefB1 */ - outR += *pSrc2-- * CoefB1; - - /* write output */ - *pDst1++ = outR; - *pDst1++ = outI; - - /* write complex conjugate output */ - *pDst2-- = -outI; - *pDst2-- = outR; - - /* update coefficient pointer */ - pCoefB = pCoefB + (modifier * 2u); - pCoefA = pCoefA + ((modifier * 2u) - 1u); - - i--; - - } - - pDst[2u * fftLen] = pSrc[0] - pSrc[1]; - pDst[(2u * fftLen) + 1u] = 0.0f; - - pDst[0] = pSrc[0] + pSrc[1]; - pDst[1] = 0.0f; - -} - - -/** - * @brief Core Real IFFT process - * @param[in] *pSrc points to the input buffer. - * @param[in] fftLen length of FFT. - * @param[in] *pATable points to the twiddle Coef A buffer. - * @param[in] *pBTable points to the twiddle Coef B buffer. - * @param[out] *pDst points to the output buffer. - * @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. - * @return none. - */ - -void arm_split_rifft_f32( - float32_t * pSrc, - uint32_t fftLen, - float32_t * pATable, - float32_t * pBTable, - float32_t * pDst, - uint32_t modifier) -{ - float32_t outR, outI; /* Temporary variables for output */ - float32_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ - float32_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */ - float32_t *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2u * fftLen) + 1u]; - - pCoefA = &pATable[0]; - pCoefB = &pBTable[0]; - - while(fftLen > 0u) - { - /* - outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + - pIn[2 * n - 2 * i] * pBTable[2 * i] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); - - outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] - - pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); - - */ - - CoefA1 = *pCoefA++; - CoefA2 = *pCoefA; - - /* outR = (pSrc[2 * i] * CoefA1 */ - outR = *pSrc1 * CoefA1; - - /* - pSrc[2 * i] * CoefA2 */ - outI = -(*pSrc1++) * CoefA2; - - /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */ - outR += (*pSrc1 + *pSrc2) * CoefA2; - - /* pSrc[2 * i + 1] * CoefA1 */ - outI += (*pSrc1++) * CoefA1; - - CoefB1 = *pCoefB; - - /* - pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */ - outI -= *pSrc2-- * CoefB1; - - /* pSrc[2 * fftLen - 2 * i] * CoefB1 */ - outR += *pSrc2 * CoefB1; - - /* pSrc[2 * fftLen - 2 * i] * CoefA2 */ - outI += *pSrc2-- * CoefA2; - - /* write output */ - *pDst++ = outR; - *pDst++ = outI; - - /* update coefficient pointer */ - pCoefB = pCoefB + (modifier * 2u); - pCoefA = pCoefA + ((modifier * 2u) - 1u); - - /* Decrement loop count */ - fftLen--; - } - -}
--- a/cmsis_dsp/TransformFunctions/arm_rfft_fast_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,354 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_rfft_f32.c -* -* Description: RFFT & RIFFT Floating point process function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -void stage_rfft_f32( - arm_rfft_fast_instance_f32 * S, - float32_t * p, float32_t * pOut) -{ - uint32_t k; /* Loop Counter */ - float32_t twR, twI; /* RFFT Twiddle coefficients */ - float32_t * pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ - float32_t *pA = p; /* increasing pointer */ - float32_t *pB = p; /* decreasing pointer */ - float32_t xAR, xAI, xBR, xBI; /* temporary variables */ - float32_t t1a, t1b; /* temporary variables */ - float32_t p0, p1, p2, p3; /* temporary variables */ - - - k = (S->Sint).fftLen - 1; - - /* Pack first and last sample of the frequency domain together */ - - xBR = pB[0]; - xBI = pB[1]; - xAR = pA[0]; - xAI = pA[1]; - - twR = *pCoeff++ ; - twI = *pCoeff++ ; - - // U1 = XA(1) + XB(1); % It is real - t1a = xBR + xAR ; - - // U2 = XB(1) - XA(1); % It is imaginary - t1b = xBI + xAI ; - - // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); - // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); - *pOut++ = 0.5f * ( t1a + t1b ); - *pOut++ = 0.5f * ( t1a - t1b ); - - // XA(1) = 1/2*( U1 - imag(U2) + i*( U1 +imag(U2) )); - pB = p + 2*k; - pA += 2; - - do - { - /* - function X = my_split_rfft(X, ifftFlag) - % X is a series of real numbers - L = length(X); - XC = X(1:2:end) +i*X(2:2:end); - XA = fft(XC); - XB = conj(XA([1 end:-1:2])); - TW = i*exp(-2*pi*i*[0:L/2-1]/L).'; - for l = 2:L/2 - XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l))); - end - XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1)))); - X = XA; - */ - - xBI = pB[1]; - xBR = pB[0]; - xAR = pA[0]; - xAI = pA[1]; - - twR = *pCoeff++; - twI = *pCoeff++; - - t1a = xBR - xAR ; - t1b = xBI + xAI ; - - // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); - // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); - p0 = twR * t1a; - p1 = twI * t1a; - p2 = twR * t1b; - p3 = twI * t1b; - - *pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR - *pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI - - pA += 2; - pB -= 2; - k--; - } while(k > 0u); -} - -/* Prepares data for inverse cfft */ -void merge_rfft_f32( -arm_rfft_fast_instance_f32 * S, -float32_t * p, float32_t * pOut) -{ - uint32_t k; /* Loop Counter */ - float32_t twR, twI; /* RFFT Twiddle coefficients */ - float32_t *pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ - float32_t *pA = p; /* increasing pointer */ - float32_t *pB = p; /* decreasing pointer */ - float32_t xAR, xAI, xBR, xBI; /* temporary variables */ - float32_t t1a, t1b, r, s, t, u; /* temporary variables */ - - k = (S->Sint).fftLen - 1; - - xAR = pA[0]; - xAI = pA[1]; - - pCoeff += 2 ; - - *pOut++ = 0.5f * ( xAR + xAI ); - *pOut++ = 0.5f * ( xAR - xAI ); - - pB = p + 2*k ; - pA += 2 ; - - while(k > 0u) - { - /* G is half of the frequency complex spectrum */ - //for k = 2:N - // Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2)))); - xBI = pB[1] ; - xBR = pB[0] ; - xAR = pA[0]; - xAI = pA[1]; - - twR = *pCoeff++; - twI = *pCoeff++; - - t1a = xAR - xBR ; - t1b = xAI + xBI ; - - r = twR * t1a; - s = twI * t1b; - t = twI * t1a; - u = twR * t1b; - - // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI); - // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI); - *pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR - *pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI - - pA += 2; - pB -= 2; - k--; - } - -} - -/** -* @ingroup groupTransforms -*/ - -/** - * @defgroup Fast Real FFT Functions - * - * \par - * The CMSIS DSP library includes specialized algorithms for computing the - * FFT of real data sequences. The FFT is defined over complex data but - * in many applications the input is real. Real FFT algorithms take advantage - * of the symmetry properties of the FFT and have a speed advantage over complex - * algorithms of the same length. - * \par - * The Fast RFFT algorith relays on the mixed radix CFFT that save processor usage. - * \par - * The real length N forward FFT of a sequence is computed using the steps shown below. - * \par - * \image html RFFT.gif "Real Fast Fourier Transform" - * \par - * The real sequence is initially treated as if it were complex to perform a CFFT. - * Later, a processing stage reshapes the data to obtain half of the frequency spectrum - * in complex format. Except the first complex number that contains the two real numbers - * X[0] and X[N/2] all the data is complex. In other words, the first complex sample - * contains two real values packed. - * \par - * The input for the inverse RFFT should keep the same format as the output of the - * forward RFFT. A first processing stage pre-process the data to later perform an - * inverse CFFT. - * \par - * \image html RIFFT.gif "Real Inverse Fast Fourier Transform" - * \par - * The algorithms for floating-point, Q15, and Q31 data are slightly different - * and we describe each algorithm in turn. - * \par Floating-point - * The main functions are <code>arm_rfft_fast_f32()</code> - * and <code>arm_rfft_fast_init_f32()</code>. The older functions - * <code>arm_rfft_f32()</code> and <code>arm_rfft_init_f32()</code> have been - * deprecated but are still documented. - * \par - * The FFT of a real N-point sequence has even symmetry in the frequency - * domain. The second half of the data equals the conjugate of the first half - * flipped in frequency: - * <pre> - *X[0] - real data - *X[1] - complex data - *X[2] - complex data - *... - *X[fftLen/2-1] - complex data - *X[fftLen/2] - real data - *X[fftLen/2+1] - conjugate of X[fftLen/2-1] - *X[fftLen/2+2] - conjugate of X[fftLen/2-2] - *... - *X[fftLen-1] - conjugate of X[1] - * </pre> - * Looking at the data, we see that we can uniquely represent the FFT using only - * <pre> - *N/2+1 samples: - *X[0] - real data - *X[1] - complex data - *X[2] - complex data - *... - *X[fftLen/2-1] - complex data - *X[fftLen/2] - real data - * </pre> - * Looking more closely we see that the first and last samples are real valued. - * They can be packed together and we can thus represent the FFT of an N-point - * real sequence by N/2 complex values: - * <pre> - *X[0],X[N/2] - packed real data: X[0] + jX[N/2] - *X[1] - complex data - *X[2] - complex data - *... - *X[fftLen/2-1] - complex data - * </pre> - * The real FFT functions pack the frequency domain data in this fashion. The - * forward transform outputs the data in this form and the inverse transform - * expects input data in this form. The function always performs the needed - * bitreversal so that the input and output data is always in normal order. The - * functions support lengths of [32, 64, 128, ..., 4096] samples. - * \par - * The forward and inverse real FFT functions apply the standard FFT scaling; no - * scaling on the forward transform and 1/fftLen scaling on the inverse - * transform. - * \par Q15 and Q31 - * The real algorithms are defined in a similar manner and utilize N/2 complex - * transforms behind the scenes. In the case of fixed-point data, a radix-4 - * complex transform is performed and this limits the allows sequence lengths to - * 128, 512, and 2048 samples. - * \par - * TBD. We need to document input and output order of data. - * \par - * The complex transforms used internally include scaling to prevent fixed-point - * overflows. The overall scaling equals 1/(fftLen/2). - * \par - * A separate instance structure must be defined for each transform used but - * twiddle factor and bit reversal tables can be reused. - * \par - * There is also an associated initialization function for each data type. - * The initialization function performs the following operations: - * - Sets the values of the internal structure fields. - * - Initializes twiddle factor table and bit reversal table pointers. - * - Initializes the internal complex FFT data structure. - * \par - * Use of the initialization function is optional. - * However, if the initialization function is used, then the instance structure - * cannot be placed into a const data section. To place an instance structure - * into a const data section, the instance structure should be manually - * initialized as follows: - * <pre> - *arm_rfft_instance_q31 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft}; - *arm_rfft_instance_q15 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft}; - * </pre> - * where <code>fftLenReal</code> is the length of the real transform; - * <code>fftLenBy2</code> length of the internal complex transform. - * <code>ifftFlagR</code> Selects forward (=0) or inverse (=1) transform. - * <code>bitReverseFlagR</code> Selects bit reversed output (=0) or normal order - * output (=1). - * <code>twidCoefRModifier</code> stride modifier for the twiddle factor table. - * The value is based on the FFT length; - * <code>pTwiddleAReal</code>points to the A array of twiddle coefficients; - * <code>pTwiddleBReal</code>points to the B array of twiddle coefficients; - * <code>pCfft</code> points to the CFFT Instance structure. The CFFT structure - * must also be initialized. Refer to arm_cfft_radix4_f32() for details regarding - * static initialization of the complex FFT instance structure. - */ - -/** -* @addtogroup RealFFT -* @{ -*/ - -/** -* @brief Processing function for the floating-point real FFT. -* @param[in] *S points to an arm_rfft_fast_instance_f32 structure. -* @param[in] *p points to the input buffer. -* @param[in] *pOut points to an arm_rfft_fast_instance_f32 structure. -* @param[in] ifftFlag RFFT if flag is 0, RIFFT if flag is 1 -* @return none. -*/ - -void arm_rfft_fast_f32( -arm_rfft_fast_instance_f32 * S, -float32_t * p, float32_t * pOut, -uint8_t ifftFlag) -{ - arm_cfft_instance_f32 * Sint = &(S->Sint); - Sint->fftLen = S->fftLenRFFT / 2; - - /* Calculation of Real FFT */ - if(ifftFlag) - { - /* Real FFT comression */ - merge_rfft_f32(S, p, pOut); - - /* Complex radix-4 IFFT process */ - arm_cfft_f32( Sint, pOut, ifftFlag, 1); - } - else - { - /* Calculation of RFFT of input */ - arm_cfft_f32( Sint, p, ifftFlag, 1); - - /* Real FFT extraction */ - stage_rfft_f32(S, p, pOut); - } -} -
--- a/cmsis_dsp/TransformFunctions/arm_rfft_fast_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,139 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_cfft_init_f32.c -* -* Description: Split Radix Decimation in Frequency CFFT Floating point processing function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" -#include "arm_common_tables.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup RealFFT - * @{ - */ - -/** -* @brief Initialization function for the floating-point real FFT. -* @param[in,out] *S points to an arm_rfft_fast_instance_f32 structure. -* @param[in] fftLen length of the Real Sequence. -* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLen</code> is not a supported value. -* -* \par Description: -* \par -* The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed. -* Set(=1) ifftFlag for calculation of CIFFT otherwise RFFT is calculated -* \par -* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. -* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. -* \par -* The parameter <code>fftLen</code> Specifies length of RFFT/CIFFT process. Supported FFT Lengths are 16, 32, 64, 128, 256, 512, 1024, 2048, 4096. -* \par -* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. -*/ -arm_status arm_rfft_fast_init_f32( - arm_rfft_fast_instance_f32 * S, - uint16_t fftLen) -{ - arm_cfft_instance_f32 * Sint; - /* Initialise the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - /* Initialise the FFT length */ - Sint = &(S->Sint); - Sint->fftLen = fftLen/2; - S->fftLenRFFT = fftLen; - /* Initialise the Twiddle coefficient pointer */ - // S->pTwiddle = (float32_t *) twiddleCoef; - - /* Initializations of structure parameters depending on the FFT length */ - switch (Sint->fftLen) - { - case 4096u: - /* Initializations of structure parameters for 4096 point FFT */ - /* Initialise the bit reversal table length */ - Sint->bitRevLength = ARMBITREVINDEXTABLE4096_TABLE_LENGTH; - /* Initialise the bit reversal table pointer */ - Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable4096; - /* Initialise the 1/fftLen Value */ - break; - case 2048u: - Sint->bitRevLength = ARMBITREVINDEXTABLE2048_TABLE_LENGTH; - Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable2048; - break; - case 1024u: - Sint->bitRevLength = ARMBITREVINDEXTABLE1024_TABLE_LENGTH; - Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable1024; - break; - case 512u: - Sint->bitRevLength = ARMBITREVINDEXTABLE_512_TABLE_LENGTH; - Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable512; - break; - case 256u: - Sint->bitRevLength = ARMBITREVINDEXTABLE_256_TABLE_LENGTH; - Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable256; - break; - case 128u: - Sint->bitRevLength = ARMBITREVINDEXTABLE_128_TABLE_LENGTH; - Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable128; - break; - case 64u: - Sint->bitRevLength = ARMBITREVINDEXTABLE__64_TABLE_LENGTH; - Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable64; - break; - case 32u: - Sint->bitRevLength = ARMBITREVINDEXTABLE__32_TABLE_LENGTH; - Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable32; - break; - case 16u: - Sint->bitRevLength = ARMBITREVINDEXTABLE__16_TABLE_LENGTH; - Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable16; - break; - default: - /* Reporting argument error if fftSize is not valid value */ - status = ARM_MATH_ARGUMENT_ERROR; - break; - } - - return (status); -} - -/** - * @} end of RealFFT group - */
--- a/cmsis_dsp/TransformFunctions/arm_rfft_init_f32.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,8376 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_rfft_init_f32.c -* -* Description: RFFT & RIFFT Floating point initialisation function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - - -#include "arm_math.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup RealFFT - * @{ - */ - -/** -* \par -* Generation of realCoefA array: -* \par -* n = 4096 -* <pre>for (i = 0; i < n; i++) -* { -* pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i)); -* pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i)); -* } </pre> -*/ - - - -static const float32_t realCoefA[8192] = { - 0.500000000000000f, -0.500000000000000f, 0.499616503715515f, - -0.499999850988388f, - 0.499233007431030f, -0.499999403953552f, 0.498849511146545f, - -0.499998688697815f, - 0.498466014862061f, -0.499997645616531f, 0.498082518577576f, - -0.499996334314346f, - 0.497699022293091f, -0.499994695186615f, 0.497315555810928f, - -0.499992787837982f, - 0.496932059526443f, -0.499990582466125f, 0.496548563241959f, - -0.499988079071045f, - 0.496165096759796f, -0.499985307455063f, 0.495781600475311f, - -0.499982208013535f, - 0.495398133993149f, -0.499978810548782f, 0.495014637708664f, - -0.499975144863129f, - 0.494631171226501f, -0.499971181154251f, 0.494247704744339f, - -0.499966919422150f, - 0.493864238262177f, -0.499962359666824f, 0.493480771780014f, - -0.499957501888275f, - 0.493097305297852f, -0.499952346086502f, 0.492713838815689f, - -0.499946922063828f, - 0.492330402135849f, -0.499941170215607f, 0.491946935653687f, - -0.499935150146484f, - 0.491563498973846f, -0.499928832054138f, 0.491180062294006f, - -0.499922215938568f, - 0.490796625614166f, -0.499915301799774f, 0.490413218736649f, - -0.499908089637756f, - 0.490029782056808f, -0.499900579452515f, 0.489646375179291f, - -0.499892801046371f, - 0.489262968301773f, -0.499884694814682f, 0.488879561424255f, - -0.499876320362091f, - 0.488496154546738f, -0.499867647886276f, 0.488112777471542f, - -0.499858677387238f, - 0.487729400396347f, -0.499849408864975f, 0.487346023321152f, - -0.499839842319489f, - 0.486962646245956f, -0.499830007553101f, 0.486579269170761f, - -0.499819844961166f, - 0.486195921897888f, -0.499809414148331f, 0.485812574625015f, - -0.499798685312271f, - 0.485429257154465f, -0.499787658452988f, 0.485045909881592f, - -0.499776333570480f, - 0.484662592411041f, -0.499764710664749f, 0.484279274940491f, - -0.499752789735794f, - 0.483895987272263f, -0.499740600585938f, 0.483512699604034f, - -0.499728083610535f, - 0.483129411935806f, -0.499715298414230f, 0.482746154069901f, - -0.499702215194702f, - 0.482362866401672f, -0.499688833951950f, 0.481979638338089f, - -0.499675154685974f, - 0.481596380472183f, -0.499661177396774f, 0.481213152408600f, - -0.499646931886673f, - 0.480829954147339f, -0.499632388353348f, 0.480446726083755f, - -0.499617516994476f, - 0.480063527822495f, -0.499602377414703f, 0.479680359363556f, - -0.499586939811707f, - 0.479297190904617f, -0.499571204185486f, 0.478914022445679f, - -0.499555170536041f, - 0.478530883789063f, -0.499538868665695f, 0.478147745132446f, - -0.499522238969803f, - 0.477764606475830f, -0.499505341053009f, 0.477381497621536f, - -0.499488145112991f, - 0.476998418569565f, -0.499470651149750f, 0.476615339517593f, - -0.499452859163284f, - 0.476232260465622f, -0.499434769153595f, 0.475849211215973f, - -0.499416410923004f, - 0.475466161966324f, -0.499397724866867f, 0.475083142518997f, - -0.499378770589828f, - 0.474700123071671f, -0.499359518289566f, 0.474317133426666f, - -0.499339967966080f, - 0.473934143781662f, -0.499320119619370f, 0.473551183938980f, - -0.499299973249435f, - 0.473168224096298f, -0.499279528856277f, 0.472785294055939f, - -0.499258816242218f, - 0.472402364015579f, -0.499237775802612f, 0.472019463777542f, - -0.499216467142105f, - 0.471636593341827f, -0.499194860458374f, 0.471253722906113f, - -0.499172955751419f, - 0.470870882272720f, -0.499150782823563f, 0.470488041639328f, - -0.499128282070160f, - 0.470105201005936f, -0.499105513095856f, 0.469722419977188f, - -0.499082416296005f, - 0.469339638948441f, -0.499059051275253f, 0.468956857919693f, - -0.499035388231277f, - 0.468574106693268f, -0.499011427164078f, 0.468191385269165f, - -0.498987197875977f, - 0.467808693647385f, -0.498962640762329f, 0.467426002025604f, - -0.498937815427780f, - 0.467043310403824f, -0.498912662267685f, 0.466660678386688f, - -0.498887240886688f, - 0.466278046369553f, -0.498861521482468f, 0.465895414352417f, - -0.498835533857346f, - 0.465512841939926f, -0.498809218406677f, 0.465130269527435f, - -0.498782604932785f, - 0.464747726917267f, -0.498755723237991f, 0.464365184307098f, - -0.498728543519974f, - 0.463982671499252f, -0.498701065778732f, 0.463600188493729f, - -0.498673290014267f, - 0.463217705488205f, -0.498645216226578f, 0.462835282087326f, - -0.498616874217987f, - 0.462452858686447f, -0.498588204383850f, 0.462070435285568f, - -0.498559266328812f, - 0.461688071489334f, -0.498530030250549f, 0.461305707693100f, - -0.498500496149063f, - 0.460923373699188f, -0.498470664024353f, 0.460541069507599f, - -0.498440563678741f, - 0.460158795118332f, -0.498410135507584f, 0.459776520729065f, - -0.498379439115524f, - 0.459394276142120f, -0.498348444700241f, 0.459012061357498f, - -0.498317152261734f, - 0.458629876375198f, -0.498285561800003f, 0.458247691392899f, - -0.498253703117371f, - 0.457865566015244f, -0.498221516609192f, 0.457483440637589f, - -0.498189061880112f, - 0.457101345062256f, -0.498156309127808f, 0.456719279289246f, - -0.498123258352280f, - 0.456337243318558f, -0.498089909553528f, 0.455955207347870f, - -0.498056292533875f, - 0.455573230981827f, -0.498022347688675f, 0.455191254615784f, - -0.497988134622574f, - 0.454809308052063f, -0.497953623533249f, 0.454427421092987f, - -0.497918814420700f, - 0.454045534133911f, -0.497883707284927f, 0.453663676977158f, - -0.497848302125931f, - 0.453281819820404f, -0.497812628746033f, 0.452900022268295f, - -0.497776657342911f, - 0.452518254518509f, -0.497740387916565f, 0.452136516571045f, - -0.497703820466995f, - 0.451754778623581f, -0.497666954994202f, 0.451373100280762f, - -0.497629791498184f, - 0.450991421937943f, -0.497592359781265f, 0.450609803199768f, - -0.497554630041122f, - 0.450228184461594f, -0.497516602277756f, 0.449846625328064f, - -0.497478276491165f, - 0.449465066194534f, -0.497439652681351f, 0.449083566665649f, - -0.497400760650635f, - 0.448702067136765f, -0.497361570596695f, 0.448320597410202f, - -0.497322082519531f, - 0.447939187288284f, -0.497282296419144f, 0.447557777166367f, - -0.497242212295532f, - 0.447176426649094f, -0.497201830148697f, 0.446795076131821f, - -0.497161179780960f, - 0.446413785219193f, -0.497120231389999f, 0.446032524108887f, - -0.497078984975815f, - 0.445651292800903f, -0.497037440538406f, 0.445270061492920f, - -0.496995598077774f, - 0.444888889789581f, -0.496953487396240f, 0.444507747888565f, - -0.496911078691483f, - 0.444126635789871f, -0.496868371963501f, 0.443745553493500f, - -0.496825367212296f, - 0.443364530801773f, -0.496782064437866f, 0.442983508110046f, - -0.496738493442535f, - 0.442602545022964f, -0.496694594621658f, 0.442221581935883f, - -0.496650427579880f, - 0.441840678453445f, -0.496605962514877f, 0.441459804773331f, - -0.496561229228973f, - 0.441078960895538f, -0.496516168117523f, 0.440698176622391f, - -0.496470838785172f, - 0.440317392349243f, -0.496425211429596f, 0.439936667680740f, - -0.496379286050797f, - 0.439555943012238f, -0.496333062648773f, 0.439175277948380f, - -0.496286571025848f, - 0.438794672489166f, -0.496239781379700f, 0.438414067029953f, - -0.496192663908005f, - 0.438033521175385f, -0.496145308017731f, 0.437653005123138f, - -0.496097624301910f, - 0.437272518873215f, -0.496049642562866f, 0.436892062425613f, - -0.496001392602921f, - 0.436511665582657f, -0.495952844619751f, 0.436131268739700f, - -0.495903998613358f, - 0.435750931501389f, -0.495854884386063f, 0.435370653867722f, - -0.495805442333221f, - 0.434990376234055f, -0.495755732059479f, 0.434610158205032f, - -0.495705723762512f, - 0.434229999780655f, -0.495655417442322f, 0.433849841356277f, - -0.495604842901230f, - 0.433469742536545f, -0.495553970336914f, 0.433089673519135f, - -0.495502769947052f, - 0.432709634304047f, -0.495451331138611f, 0.432329654693604f, - -0.495399564504623f, - 0.431949704885483f, -0.495347499847412f, 0.431569814682007f, - -0.495295166969299f, - 0.431189924478531f, -0.495242536067963f, 0.430810123682022f, - -0.495189607143402f, - 0.430430322885513f, -0.495136409997940f, 0.430050581693649f, - -0.495082914829254f, - 0.429670870304108f, -0.495029091835022f, 0.429291218519211f, - -0.494975030422211f, - 0.428911596536636f, -0.494920641183853f, 0.428532034158707f, - -0.494865983724594f, - 0.428152471780777f, -0.494810998439789f, 0.427772998809814f, - -0.494755744934082f, - 0.427393525838852f, -0.494700223207474f, 0.427014142274857f, - -0.494644373655319f, - 0.426634758710861f, -0.494588255882263f, 0.426255434751511f, - -0.494531840085983f, - 0.425876170396805f, -0.494475126266479f, 0.425496935844421f, - -0.494418144226074f, - 0.425117731094360f, -0.494360834360123f, 0.424738585948944f, - -0.494303256273270f, - 0.424359470605850f, -0.494245409965515f, 0.423980414867401f, - -0.494187235832214f, - 0.423601418733597f, -0.494128793478012f, 0.423222452402115f, - -0.494070053100586f, - 0.422843515872955f, -0.494011014699936f, 0.422464638948441f, - -0.493951678276062f, - 0.422085791826248f, -0.493892073631287f, 0.421707004308701f, - -0.493832170963287f, - 0.421328276395798f, -0.493771970272064f, 0.420949578285217f, - -0.493711471557617f, - 0.420570939779282f, -0.493650704622269f, 0.420192331075668f, - -0.493589639663696f, - 0.419813781976700f, -0.493528276681900f, 0.419435262680054f, - -0.493466645479202f, - 0.419056802988052f, -0.493404686450958f, 0.418678402900696f, - -0.493342459201813f, - 0.418300032615662f, -0.493279963731766f, 0.417921721935272f, - -0.493217140436172f, - 0.417543441057205f, -0.493154048919678f, 0.417165219783783f, - -0.493090659379959f, - 0.416787058115005f, -0.493026971817017f, 0.416408926248550f, - -0.492963016033173f, - 0.416030853986740f, -0.492898762226105f, 0.415652841329575f, - -0.492834210395813f, - 0.415274858474731f, -0.492769360542297f, 0.414896935224533f, - -0.492704242467880f, - 0.414519041776657f, -0.492638826370239f, 0.414141237735748f, - -0.492573112249374f, - 0.413763463497162f, -0.492507129907608f, 0.413385748863220f, - -0.492440819740295f, - 0.413008064031601f, -0.492374241352081f, 0.412630438804626f, - -0.492307394742966f, - 0.412252873182297f, -0.492240220308304f, 0.411875367164612f, - -0.492172777652740f, - 0.411497890949249f, -0.492105036973953f, 0.411120474338531f, - -0.492037028074265f, - 0.410743117332459f, -0.491968721151352f, 0.410365819931030f, - -0.491900116205215f, - 0.409988552331924f, -0.491831213235855f, 0.409611344337463f, - -0.491762012243271f, - 0.409234195947647f, -0.491692543029785f, 0.408857107162476f, - -0.491622805595398f, - 0.408480048179626f, -0.491552740335464f, 0.408103078603745f, - -0.491482406854630f, - 0.407726138830185f, -0.491411775350571f, 0.407349258661270f, - -0.491340845823288f, - 0.406972438097000f, -0.491269648075104f, 0.406595647335052f, - -0.491198152303696f, - 0.406218945980072f, -0.491126358509064f, 0.405842274427414f, - -0.491054296493530f, - 0.405465662479401f, -0.490981936454773f, 0.405089110136032f, - -0.490909278392792f, - 0.404712617397308f, -0.490836352109909f, 0.404336184263229f, - -0.490763127803802f, - 0.403959810733795f, -0.490689605474472f, 0.403583467006683f, - -0.490615785121918f, - 0.403207212686539f, -0.490541696548462f, 0.402830988168716f, - -0.490467309951782f, - 0.402454853057861f, -0.490392625331879f, 0.402078747749329f, - -0.490317672491074f, - 0.401702702045441f, -0.490242421627045f, 0.401326715946198f, - -0.490166902542114f, - 0.400950789451599f, -0.490091055631638f, 0.400574922561646f, - -0.490014940500259f, - 0.400199115276337f, -0.489938557147980f, 0.399823367595673f, - -0.489861875772476f, - 0.399447679519653f, -0.489784896373749f, 0.399072051048279f, - -0.489707618951797f, - 0.398696482181549f, -0.489630073308945f, 0.398320972919464f, - -0.489552229642868f, - 0.397945523262024f, -0.489474087953568f, 0.397570133209229f, - -0.489395678043365f, - 0.397194802761078f, -0.489316970109940f, 0.396819531917572f, - -0.489237964153290f, - 0.396444320678711f, -0.489158689975739f, 0.396069169044495f, - -0.489079117774963f, - 0.395694077014923f, -0.488999247550964f, 0.395319044589996f, - -0.488919109106064f, - 0.394944071769714f, -0.488838672637939f, 0.394569188356400f, - -0.488757967948914f, - 0.394194334745407f, -0.488676935434341f, 0.393819570541382f, - -0.488595664501190f, - 0.393444836139679f, -0.488514065742493f, 0.393070191144943f, - -0.488432198762894f, - 0.392695605754852f, -0.488350033760071f, 0.392321079969406f, - -0.488267600536346f, - 0.391946613788605f, -0.488184869289398f, 0.391572207212448f, - -0.488101840019226f, - 0.391197860240936f, -0.488018542528152f, 0.390823602676392f, - -0.487934947013855f, - 0.390449374914169f, -0.487851053476334f, 0.390075236558914f, - -0.487766891717911f, - 0.389701157808304f, -0.487682431936264f, 0.389327138662338f, - -0.487597703933716f, - 0.388953179121017f, -0.487512677907944f, 0.388579308986664f, - -0.487427353858948f, - 0.388205498456955f, -0.487341761589050f, 0.387831717729568f, - -0.487255871295929f, - 0.387458056211472f, -0.487169682979584f, 0.387084424495697f, - -0.487083226442337f, - 0.386710882186890f, -0.486996471881866f, 0.386337369680405f, - -0.486909449100494f, - 0.385963946580887f, -0.486822128295898f, 0.385590612888336f, - -0.486734509468079f, - 0.385217308998108f, -0.486646622419357f, 0.384844094514847f, - -0.486558437347412f, - 0.384470939636230f, -0.486469984054565f, 0.384097874164581f, - -0.486381232738495f, - 0.383724838495255f, -0.486292183399200f, 0.383351892232895f, - -0.486202865839005f, - 0.382979035377502f, -0.486113250255585f, 0.382606208324432f, - -0.486023366451263f, - 0.382233470678329f, -0.485933154821396f, 0.381860792636871f, - -0.485842704772949f, - 0.381488204002380f, -0.485751956701279f, 0.381115674972534f, - -0.485660910606384f, - 0.380743205547333f, -0.485569566488266f, 0.380370795726776f, - -0.485477954149246f, - 0.379998475313187f, -0.485386073589325f, 0.379626244306564f, - -0.485293895006180f, - 0.379254043102264f, -0.485201418399811f, 0.378881961107254f, - -0.485108673572540f, - 0.378509908914566f, -0.485015630722046f, 0.378137946128845f, - -0.484922289848328f, - 0.377766042947769f, -0.484828680753708f, 0.377394229173660f, - -0.484734803438187f, - 0.377022475004196f, -0.484640628099442f, 0.376650810241699f, - -0.484546154737473f, - 0.376279205083847f, -0.484451413154602f, 0.375907659530640f, - -0.484356373548508f, - 0.375536203384399f, -0.484261035919189f, 0.375164806842804f, - -0.484165430068970f, - 0.374793499708176f, -0.484069555997849f, 0.374422252178192f, - -0.483973383903503f, - 0.374051094055176f, -0.483876913785934f, 0.373679995536804f, - -0.483780175447464f, - 0.373308986425400f, -0.483683139085770f, 0.372938036918640f, - -0.483585834503174f, - 0.372567176818848f, -0.483488231897354f, 0.372196376323700f, - -0.483390361070633f, - 0.371825665235519f, -0.483292192220688f, 0.371455013751984f, - -0.483193725347519f, - 0.371084451675415f, -0.483094990253448f, 0.370713949203491f, - -0.482995986938477f, - 0.370343536138535f, -0.482896685600281f, 0.369973212480545f, - -0.482797086238861f, - 0.369602948427200f, -0.482697218656540f, 0.369232743978500f, - -0.482597053050995f, - 0.368862658739090f, -0.482496619224548f, 0.368492603302002f, - -0.482395917177200f, - 0.368122667074203f, -0.482294887304306f, 0.367752790451050f, - -0.482193619012833f, - 0.367382973432541f, -0.482092022895813f, 0.367013275623322f, - -0.481990188360214f, - 0.366643607616425f, -0.481888025999069f, 0.366274058818817f, - -0.481785595417023f, - 0.365904569625854f, -0.481682896614075f, 0.365535169839859f, - -0.481579899787903f, - 0.365165829658508f, -0.481476634740829f, 0.364796578884125f, - -0.481373071670532f, - 0.364427417516708f, -0.481269240379334f, 0.364058345556259f, - -0.481165111064911f, - 0.363689333200455f, -0.481060713529587f, 0.363320380449295f, - -0.480956017971039f, - 0.362951546907425f, -0.480851024389267f, 0.362582772970200f, - -0.480745792388916f, - 0.362214088439941f, -0.480640232563019f, 0.361845493316650f, - -0.480534434318542f, - 0.361476957798004f, -0.480428308248520f, 0.361108511686325f, - -0.480321943759918f, - 0.360740154981613f, -0.480215251445770f, 0.360371887683868f, - -0.480108320713043f, - 0.360003679990768f, -0.480001062154770f, 0.359635561704636f, - -0.479893565177917f, - 0.359267532825470f, -0.479785770177841f, 0.358899593353271f, - -0.479677677154541f, - 0.358531713485718f, -0.479569315910339f, 0.358163923025131f, - -0.479460656642914f, - 0.357796221971512f, -0.479351729154587f, 0.357428610324860f, - -0.479242533445358f, - 0.357061088085175f, -0.479133039712906f, 0.356693625450134f, - -0.479023247957230f, - 0.356326282024384f, -0.478913217782974f, 0.355958998203278f, - -0.478802859783173f, - 0.355591803789139f, -0.478692263364792f, 0.355224698781967f, - -0.478581339120865f, - 0.354857653379440f, -0.478470176458359f, 0.354490727186203f, - -0.478358715772629f, - 0.354123860597610f, -0.478246957063675f, 0.353757113218308f, - -0.478134930133820f, - 0.353390425443649f, -0.478022634983063f, 0.353023827075958f, - -0.477910041809082f, - 0.352657318115234f, -0.477797180414200f, 0.352290898561478f, - -0.477684020996094f, - 0.351924568414688f, -0.477570593357086f, 0.351558297872543f, - -0.477456867694855f, - 0.351192146539688f, -0.477342873811722f, 0.350826084613800f, - -0.477228611707687f, - 0.350460082292557f, -0.477114051580429f, 0.350094199180603f, - -0.476999223232269f, - 0.349728375673294f, -0.476884096860886f, 0.349362671375275f, - -0.476768702268600f, - 0.348997026681900f, -0.476653009653091f, 0.348631471395493f, - -0.476537048816681f, - 0.348266035318375f, -0.476420819759369f, 0.347900658845901f, - -0.476304292678833f, - 0.347535371780396f, -0.476187497377396f, 0.347170203924179f, - -0.476070433855057f, - 0.346805095672607f, -0.475953072309494f, 0.346440106630325f, - -0.475835442543030f, - 0.346075177192688f, -0.475717514753342f, 0.345710366964340f, - -0.475599318742752f, - 0.345345616340637f, -0.475480824708939f, 0.344980984926224f, - -0.475362062454224f, - 0.344616413116455f, -0.475243031978607f, 0.344251960515976f, - -0.475123733282089f, - 0.343887597322464f, -0.475004136562347f, 0.343523323535919f, - -0.474884241819382f, - 0.343159139156342f, -0.474764078855515f, 0.342795044183731f, - -0.474643647670746f, - 0.342431038618088f, -0.474522948265076f, 0.342067122459412f, - -0.474401950836182f, - 0.341703325510025f, -0.474280685186386f, 0.341339588165283f, - -0.474159121513367f, - 0.340975970029831f, -0.474037289619446f, 0.340612411499023f, - -0.473915189504623f, - 0.340248972177505f, -0.473792791366577f, 0.339885622262955f, - -0.473670125007629f, - 0.339522391557693f, -0.473547190427780f, 0.339159220457077f, - -0.473423957824707f, - 0.338796168565750f, -0.473300457000732f, 0.338433176279068f, - -0.473176687955856f, - 0.338070303201675f, -0.473052620887756f, 0.337707549333572f, - -0.472928285598755f, - 0.337344855070114f, -0.472803652286530f, 0.336982280015945f, - -0.472678780555725f, - 0.336619764566422f, -0.472553610801697f, 0.336257368326187f, - -0.472428143024445f, - 0.335895091295242f, -0.472302407026291f, 0.335532873868942f, - -0.472176402807236f, - 0.335170775651932f, -0.472050130367279f, 0.334808766841888f, - -0.471923559904099f, - 0.334446847438812f, -0.471796721220016f, 0.334085017442703f, - -0.471669614315033f, - 0.333723306655884f, -0.471542209386826f, 0.333361685276031f, - -0.471414536237717f, - 0.333000183105469f, -0.471286594867706f, 0.332638740539551f, - -0.471158385276794f, - 0.332277417182922f, -0.471029877662659f, 0.331916213035584f, - -0.470901101827621f, - 0.331555068492889f, -0.470772027969360f, 0.331194043159485f, - -0.470642685890198f, - 0.330833107233047f, -0.470513075590134f, 0.330472290515900f, - -0.470383197069168f, - 0.330111563205719f, -0.470253020524979f, 0.329750925302505f, - -0.470122605562210f, - 0.329390406608582f, -0.469991862773895f, 0.329029977321625f, - -0.469860881567001f, - 0.328669637441635f, -0.469729602336884f, 0.328309416770935f, - -0.469598054885864f, - 0.327949285507202f, -0.469466239213943f, 0.327589273452759f, - -0.469334155321121f, - 0.327229350805283f, -0.469201773405075f, 0.326869517564774f, - -0.469069123268127f, - 0.326509803533554f, -0.468936175107956f, 0.326150178909302f, - -0.468802988529205f, - 0.325790673494339f, -0.468669503927231f, 0.325431257486343f, - -0.468535751104355f, - 0.325071930885315f, -0.468401730060577f, 0.324712723493576f, - -0.468267410993576f, - 0.324353635311127f, -0.468132823705673f, 0.323994606733322f, - -0.467997968196869f, - 0.323635727167130f, -0.467862844467163f, 0.323276937007904f, - -0.467727422714233f, - 0.322918236255646f, -0.467591762542725f, 0.322559654712677f, - -0.467455804347992f, - 0.322201162576675f, -0.467319577932358f, 0.321842789649963f, - -0.467183053493500f, - 0.321484506130219f, -0.467046260833740f, 0.321126341819763f, - -0.466909229755402f, - 0.320768296718597f, -0.466771900653839f, 0.320410341024399f, - -0.466634273529053f, - 0.320052474737167f, -0.466496407985687f, 0.319694727659225f, - -0.466358244419098f, - 0.319337099790573f, -0.466219812631607f, 0.318979561328888f, - -0.466081112623215f, - 0.318622142076492f, -0.465942144393921f, 0.318264812231064f, - -0.465802878141403f, - 0.317907601594925f, -0.465663343667984f, 0.317550510168076f, - -0.465523540973663f, - 0.317193508148193f, -0.465383470058441f, 0.316836595535278f, - -0.465243130922318f, - 0.316479831933975f, -0.465102523565292f, 0.316123157739639f, - -0.464961618185043f, - 0.315766572952271f, -0.464820444583893f, 0.315410137176514f, - -0.464679002761841f, - 0.315053790807724f, -0.464537292718887f, 0.314697533845901f, - -0.464395314455032f, - 0.314341396093369f, -0.464253038167953f, 0.313985377550125f, - -0.464110493659973f, - 0.313629478216171f, -0.463967710733414f, 0.313273668289185f, - -0.463824629783630f, - 0.312917977571487f, -0.463681250810623f, 0.312562376260757f, - -0.463537633419037f, - 0.312206923961639f, -0.463393747806549f, 0.311851561069489f, - -0.463249564170837f, - 0.311496287584305f, -0.463105112314224f, 0.311141163110733f, - -0.462960392236710f, - 0.310786128044128f, -0.462815403938293f, 0.310431212186813f, - -0.462670147418976f, - 0.310076385736465f, -0.462524622678757f, 0.309721708297729f, - -0.462378799915314f, - 0.309367120265961f, -0.462232738733292f, 0.309012651443481f, - -0.462086379528046f, - 0.308658272027969f, -0.461939752101898f, 0.308304041624069f, - -0.461792886257172f, - 0.307949900627136f, -0.461645722389221f, 0.307595878839493f, - -0.461498260498047f, - 0.307241976261139f, -0.461350560188293f, 0.306888192892075f, - -0.461202591657639f, - 0.306534498929977f, -0.461054325103760f, 0.306180924177170f, - -0.460905820131302f, - 0.305827468633652f, -0.460757017135620f, 0.305474132299423f, - -0.460607945919037f, - 0.305120915174484f, -0.460458606481552f, 0.304767817258835f, - -0.460309028625488f, - 0.304414808750153f, -0.460159152746201f, 0.304061919450760f, - -0.460008978843689f, - 0.303709149360657f, -0.459858566522598f, 0.303356528282166f, - -0.459707885980606f, - 0.303003966808319f, -0.459556937217712f, 0.302651554346085f, - -0.459405690431595f, - 0.302299261093140f, -0.459254205226898f, 0.301947087049484f, - -0.459102421998978f, - 0.301595002412796f, -0.458950400352478f, 0.301243066787720f, - -0.458798080682755f, - 0.300891220569611f, -0.458645492792130f, 0.300539493560791f, - -0.458492636680603f, - 0.300187885761261f, -0.458339542150497f, 0.299836426973343f, - -0.458186149597168f, - 0.299485057592392f, -0.458032488822937f, 0.299133807420731f, - -0.457878559827805f, - 0.298782676458359f, -0.457724362611771f, 0.298431664705276f, - -0.457569897174835f, - 0.298080772161484f, -0.457415163516998f, 0.297729998826981f, - -0.457260161638260f, - 0.297379344701767f, -0.457104891538620f, 0.297028809785843f, - -0.456949323415756f, - 0.296678394079208f, -0.456793516874313f, 0.296328097581863f, - -0.456637442111969f, - 0.295977920293808f, -0.456481099128723f, 0.295627862215042f, - -0.456324487924576f, - 0.295277923345566f, -0.456167578697205f, 0.294928103685379f, - -0.456010431051254f, - 0.294578403234482f, -0.455853015184402f, 0.294228851795197f, - -0.455695331096649f, - 0.293879389762878f, -0.455537378787994f, 0.293530046939850f, - -0.455379128456116f, - 0.293180853128433f, -0.455220639705658f, 0.292831748723984f, - -0.455061882734299f, - 0.292482793331146f, -0.454902857542038f, 0.292133957147598f, - -0.454743564128876f, - 0.291785210371017f, -0.454584002494812f, 0.291436612606049f, - -0.454424172639847f, - 0.291088134050369f, -0.454264044761658f, 0.290739774703979f, - -0.454103678464890f, - 0.290391564369202f, -0.453943043947220f, 0.290043443441391f, - -0.453782171010971f, - 0.289695471525192f, -0.453621000051498f, 0.289347589015961f, - -0.453459560871124f, - 0.288999855518341f, -0.453297853469849f, 0.288652241230011f, - -0.453135877847672f, - 0.288304775953293f, -0.452973634004593f, 0.287957400083542f, - -0.452811151742935f, - 0.287610173225403f, -0.452648371458054f, 0.287263035774231f, - -0.452485352754593f, - 0.286916047334671f, -0.452322036027908f, 0.286569178104401f, - -0.452158480882645f, - 0.286222457885742f, -0.451994657516479f, 0.285875827074051f, - -0.451830536127090f, - 0.285529345273972f, -0.451666176319122f, 0.285182982683182f, - -0.451501548290253f, - 0.284836769104004f, -0.451336652040482f, 0.284490644931793f, - -0.451171487569809f, - 0.284144669771194f, -0.451006084680557f, 0.283798813819885f, - -0.450840383768082f, - 0.283453077077866f, -0.450674414634705f, 0.283107489347458f, - -0.450508207082748f, - 0.282762020826340f, -0.450341701507568f, 0.282416671514511f, - -0.450174957513809f, - 0.282071471214294f, -0.450007945299149f, 0.281726360321045f, - -0.449840664863586f, - 0.281381398439407f, -0.449673116207123f, 0.281036585569382f, - -0.449505299329758f, - 0.280691891908646f, -0.449337244033813f, 0.280347317457199f, - -0.449168890714645f, - 0.280002862215042f, -0.449000298976898f, 0.279658555984497f, - -0.448831409215927f, - 0.279314368963242f, -0.448662281036377f, 0.278970301151276f, - -0.448492884635925f, - 0.278626382350922f, -0.448323249816895f, 0.278282582759857f, - -0.448153316974640f, - 0.277938932180405f, -0.447983115911484f, 0.277595400810242f, - -0.447812676429749f, - 0.277251988649368f, -0.447641968727112f, 0.276908725500107f, - -0.447470992803574f, - 0.276565581560135f, -0.447299748659134f, 0.276222556829453f, - -0.447128236293793f, - 0.275879681110382f, -0.446956485509872f, 0.275536954402924f, - -0.446784436702728f, - 0.275194346904755f, -0.446612149477005f, 0.274851858615875f, - -0.446439594030380f, - 0.274509519338608f, -0.446266770362854f, 0.274167299270630f, - -0.446093708276749f, - 0.273825198411942f, -0.445920348167419f, 0.273483246564865f, - -0.445746749639511f, - 0.273141443729401f, -0.445572882890701f, 0.272799760103226f, - -0.445398747920990f, - 0.272458195686340f, -0.445224374532700f, 0.272116780281067f, - -0.445049703121185f, - 0.271775513887405f, -0.444874793291092f, 0.271434366703033f, - -0.444699615240097f, - 0.271093338727951f, -0.444524168968201f, 0.270752459764481f, - -0.444348484277725f, - 0.270411729812622f, -0.444172531366348f, 0.270071119070053f, - -0.443996280431747f, - 0.269730657339096f, -0.443819820880890f, 0.269390314817429f, - -0.443643063306808f, - 0.269050091505051f, -0.443466067314148f, 0.268710047006607f, - -0.443288803100586f, - 0.268370121717453f, -0.443111270666122f, 0.268030315637589f, - -0.442933470010757f, - 0.267690658569336f, -0.442755430936813f, 0.267351150512695f, - -0.442577123641968f, - 0.267011761665344f, -0.442398548126221f, 0.266672492027283f, - -0.442219734191895f, - 0.266333401203156f, -0.442040622234344f, 0.265994429588318f, - -0.441861271858215f, - 0.265655577182770f, -0.441681683063507f, 0.265316903591156f, - -0.441501796245575f, - 0.264978319406509f, -0.441321671009064f, 0.264639914035797f, - -0.441141277551651f, - 0.264301627874374f, -0.440960645675659f, 0.263963490724564f, - -0.440779715776443f, - 0.263625472784042f, -0.440598547458649f, 0.263287603855133f, - -0.440417140722275f, - 0.262949883937836f, -0.440235435962677f, 0.262612313032150f, - -0.440053492784500f, - 0.262274861335754f, -0.439871311187744f, 0.261937558650970f, - -0.439688831567764f, - 0.261600375175476f, -0.439506113529205f, 0.261263370513916f, - -0.439323127269745f, - 0.260926485061646f, -0.439139902591705f, 0.260589718818665f, - -0.438956409692764f, - 0.260253131389618f, -0.438772648572922f, 0.259916663169861f, - -0.438588619232178f, - 0.259580343961716f, -0.438404351472855f, 0.259244143962860f, - -0.438219845294952f, - 0.258908122777939f, -0.438035041093826f, 0.258572220802307f, - -0.437849998474121f, - 0.258236467838287f, -0.437664687633514f, 0.257900834083557f, - -0.437479138374329f, - 0.257565379142761f, -0.437293320894241f, 0.257230043411255f, - -0.437107264995575f, - 0.256894856691360f, -0.436920911073685f, 0.256559818983078f, - -0.436734348535538f, - 0.256224930286407f, -0.436547487974167f, 0.255890160799026f, - -0.436360388994217f, - 0.255555540323257f, -0.436173021793365f, 0.255221068859100f, - -0.435985416173935f, - 0.254886746406555f, -0.435797542333603f, 0.254552572965622f, - -0.435609430074692f, - 0.254218548536301f, -0.435421019792557f, 0.253884643316269f, - -0.435232400894165f, - 0.253550916910172f, -0.435043483972549f, 0.253217309713364f, - -0.434854328632355f, - 0.252883851528168f, -0.434664934873581f, 0.252550542354584f, - -0.434475272893906f, - 0.252217382192612f, -0.434285342693329f, 0.251884341239929f, - -0.434095174074173f, - 0.251551479101181f, -0.433904737234116f, 0.251218736171722f, - -0.433714061975479f, - 0.250886172056198f, -0.433523118495941f, 0.250553727149963f, - -0.433331936597824f, - 0.250221431255341f, -0.433140486478806f, 0.249889299273491f, - -0.432948768138886f, - 0.249557301402092f, -0.432756811380386f, 0.249225467443466f, - -0.432564586400986f, - 0.248893767595291f, -0.432372123003006f, 0.248562216758728f, - -0.432179391384125f, - 0.248230814933777f, -0.431986421346664f, 0.247899547219276f, - -0.431793183088303f, - 0.247568443417549f, -0.431599706411362f, 0.247237488627434f, - -0.431405961513519f, - 0.246906682848930f, -0.431211978197098f, 0.246576011180878f, - -0.431017726659775f, - 0.246245503425598f, -0.430823236703873f, 0.245915144681931f, - -0.430628478527069f, - 0.245584934949875f, -0.430433481931686f, 0.245254859328270f, - -0.430238217115402f, - 0.244924947619438f, -0.430042684078217f, 0.244595184922218f, - -0.429846942424774f, - 0.244265571236610f, -0.429650902748108f, 0.243936106562614f, - -0.429454624652863f, - 0.243606805801392f, -0.429258108139038f, 0.243277639150620f, - -0.429061323404312f, - 0.242948621511459f, -0.428864300251007f, 0.242619767785072f, - -0.428667008876801f, - 0.242291063070297f, -0.428469479084015f, 0.241962507367134f, - -0.428271710872650f, - 0.241634100675583f, -0.428073674440384f, 0.241305842995644f, - -0.427875369787216f, - 0.240977749228477f, -0.427676826715469f, 0.240649804472923f, - -0.427478045225143f, - 0.240322008728981f, -0.427278995513916f, 0.239994361996651f, - -0.427079707384110f, - 0.239666879177094f, -0.426880151033401f, 0.239339530467987f, - -0.426680356264114f, - 0.239012360572815f, -0.426480293273926f, 0.238685324788094f, - -0.426279991865158f, - 0.238358452916145f, -0.426079452037811f, 0.238031730055809f, - -0.425878643989563f, - 0.237705156207085f, -0.425677597522736f, 0.237378746271133f, - -0.425476282835007f, - 0.237052485346794f, -0.425274729728699f, 0.236726388335228f, - -0.425072938203812f, - 0.236400425434113f, -0.424870878458023f, 0.236074641346931f, - -0.424668580293655f, - 0.235749006271362f, -0.424466013908386f, 0.235423520207405f, - -0.424263238906860f, - 0.235098183155060f, -0.424060165882111f, 0.234773010015488f, - -0.423856884241104f, - 0.234448000788689f, -0.423653304576874f, 0.234123140573502f, - -0.423449516296387f, - 0.233798429369926f, -0.423245459794998f, 0.233473882079124f, - -0.423041164875031f, - 0.233149498701096f, -0.422836631536484f, 0.232825264334679f, - -0.422631829977036f, - 0.232501193881035f, -0.422426789999008f, 0.232177272439003f, - -0.422221481800079f, - 0.231853514909744f, -0.422015935182571f, 0.231529906392097f, - -0.421810150146484f, - 0.231206461787224f, -0.421604126691818f, 0.230883181095123f, - -0.421397835016251f, - 0.230560049414635f, -0.421191304922104f, 0.230237081646919f, - -0.420984506607056f, - 0.229914262890816f, -0.420777499675751f, 0.229591608047485f, - -0.420570224523544f, - 0.229269117116928f, -0.420362681150436f, 0.228946775197983f, - -0.420154929161072f, - 0.228624612092972f, -0.419946908950806f, 0.228302597999573f, - -0.419738620519638f, - 0.227980732917786f, -0.419530123472214f, 0.227659046649933f, - -0.419321358203888f, - 0.227337509393692f, -0.419112354516983f, 0.227016136050224f, - -0.418903112411499f, - 0.226694911718369f, -0.418693602085114f, 0.226373866200447f, - -0.418483853340149f, - 0.226052969694138f, -0.418273866176605f, 0.225732237100601f, - -0.418063640594482f, - 0.225411668419838f, -0.417853146791458f, 0.225091263651848f, - -0.417642414569855f, - 0.224771007895470f, -0.417431443929672f, 0.224450930953026f, - -0.417220205068588f, - 0.224131003022194f, -0.417008757591248f, 0.223811239004135f, - -0.416797041893005f, - 0.223491653800011f, -0.416585087776184f, 0.223172217607498f, - -0.416372895240784f, - 0.222852945327759f, -0.416160434484482f, 0.222533836960793f, - -0.415947735309601f, - 0.222214877605438f, -0.415734797716141f, 0.221896097064018f, - -0.415521621704102f, - 0.221577480435371f, -0.415308207273483f, 0.221259027719498f, - -0.415094524621964f, - 0.220940738916397f, -0.414880603551865f, 0.220622614026070f, - -0.414666473865509f, - 0.220304638147354f, -0.414452046155930f, 0.219986841082573f, - -0.414237409830093f, - 0.219669207930565f, -0.414022535085678f, 0.219351738691330f, - -0.413807392120361f, - 0.219034433364868f, -0.413592010736465f, 0.218717306852341f, - -0.413376390933990f, - 0.218400329351425f, -0.413160532712936f, 0.218083515763283f, - -0.412944436073303f, - 0.217766880989075f, -0.412728071212769f, 0.217450410127640f, - -0.412511497735977f, - 0.217134088277817f, -0.412294656038284f, 0.216817945241928f, - -0.412077575922012f, - 0.216501981019974f, -0.411860257387161f, 0.216186165809631f, - -0.411642700433731f, - 0.215870529413223f, -0.411424905061722f, 0.215555042028427f, - -0.411206841468811f, - 0.215239733457565f, -0.410988569259644f, 0.214924603700638f, - -0.410770028829575f, - 0.214609622955322f, -0.410551249980927f, 0.214294821023941f, - -0.410332232713699f, - 0.213980183005333f, -0.410112977027893f, 0.213665723800659f, - -0.409893482923508f, - 0.213351413607597f, -0.409673750400543f, 0.213037282228470f, - -0.409453779459000f, - 0.212723329663277f, -0.409233570098877f, 0.212409526109695f, - -0.409013092517853f, - 0.212095901370049f, -0.408792406320572f, 0.211782455444336f, - -0.408571451902390f, - 0.211469158530235f, -0.408350288867950f, 0.211156040430069f, - -0.408128857612610f, - 0.210843101143837f, -0.407907217741013f, 0.210530325770378f, - -0.407685309648514f, - 0.210217714309692f, -0.407463163137436f, 0.209905281662941f, - -0.407240778207779f, - 0.209593027830124f, -0.407018154859543f, 0.209280923008919f, - -0.406795293092728f, - 0.208969011902809f, -0.406572192907333f, 0.208657249808311f, - -0.406348884105682f, - 0.208345666527748f, -0.406125307083130f, 0.208034262061119f, - -0.405901491641998f, - 0.207723021507263f, -0.405677437782288f, 0.207411959767342f, - -0.405453115701675f, - 0.207101076841354f, -0.405228585004807f, 0.206790357828140f, - -0.405003815889359f, - 0.206479802727699f, -0.404778808355331f, 0.206169426441193f, - -0.404553562402725f, - 0.205859228968620f, -0.404328078031540f, 0.205549195408821f, - -0.404102355241776f, - 0.205239340662956f, -0.403876423835754f, 0.204929664731026f, - -0.403650224208832f, - 0.204620152711868f, -0.403423786163330f, 0.204310819506645f, - -0.403197109699249f, - 0.204001650214195f, -0.402970194816589f, 0.203692659735680f, - -0.402743041515350f, - 0.203383848071098f, -0.402515679597855f, 0.203075215220451f, - -0.402288049459457f, - 0.202766746282578f, -0.402060180902481f, 0.202458456158638f, - -0.401832103729248f, - 0.202150344848633f, -0.401603758335114f, 0.201842412352562f, - -0.401375204324722f, - 0.201534643769264f, -0.401146411895752f, 0.201227053999901f, - -0.400917351245880f, - 0.200919643044472f, -0.400688081979752f, 0.200612410902977f, - -0.400458574295044f, - 0.200305357575417f, -0.400228828191757f, 0.199998468160629f, - -0.399998843669891f, - 0.199691757559776f, -0.399768620729446f, 0.199385225772858f, - -0.399538189172745f, - 0.199078872799873f, -0.399307489395142f, 0.198772698640823f, - -0.399076581001282f, - 0.198466703295708f, -0.398845434188843f, 0.198160871863365f, - -0.398614019155502f, - 0.197855234146118f, -0.398382395505905f, 0.197549775242805f, - -0.398150533437729f, - 0.197244480252266f, -0.397918462753296f, 0.196939364075661f, - -0.397686123847961f, - 0.196634441614151f, -0.397453576326370f, 0.196329683065414f, - -0.397220760583878f, - 0.196025103330612f, -0.396987736225128f, 0.195720717310905f, - -0.396754473447800f, - 0.195416495203972f, -0.396520972251892f, 0.195112451910973f, - -0.396287262439728f, - 0.194808602333069f, -0.396053284406662f, 0.194504916667938f, - -0.395819097757339f, - 0.194201424717903f, -0.395584672689438f, 0.193898096680641f, - -0.395350009202957f, - 0.193594962358475f, -0.395115107297897f, 0.193292006850243f, - -0.394879996776581f, - 0.192989215254784f, -0.394644618034363f, 0.192686617374420f, - -0.394409030675888f, - 0.192384198307991f, -0.394173204898834f, 0.192081972956657f, - -0.393937170505524f, - 0.191779911518097f, -0.393700867891312f, 0.191478043794632f, - -0.393464356660843f, - 0.191176339983940f, -0.393227607011795f, 0.190874829888344f, - -0.392990618944168f, - 0.190573498606682f, -0.392753422260284f, 0.190272361040115f, - -0.392515957355499f, - 0.189971387386322f, -0.392278283834457f, 0.189670607447624f, - -0.392040401697159f, - 0.189370006322861f, -0.391802251338959f, 0.189069598913193f, - -0.391563892364502f, - 0.188769355416298f, -0.391325294971466f, 0.188469305634499f, - -0.391086459159851f, - 0.188169434666634f, -0.390847414731979f, 0.187869757413864f, - -0.390608131885529f, - 0.187570258975029f, -0.390368610620499f, 0.187270939350128f, - -0.390128880739212f, - 0.186971798539162f, -0.389888882637024f, 0.186672851443291f, - -0.389648675918579f, - 0.186374098062515f, -0.389408260583878f, 0.186075508594513f, - -0.389167606830597f, - 0.185777112841606f, -0.388926714658737f, 0.185478910803795f, - -0.388685584068298f, - 0.185180887579918f, -0.388444244861603f, 0.184883043169975f, - -0.388202667236328f, - 0.184585392475128f, -0.387960851192474f, 0.184287920594215f, - -0.387718826532364f, - 0.183990627527237f, -0.387476563453674f, 0.183693528175354f, - -0.387234061956406f, - 0.183396622538567f, -0.386991351842880f, 0.183099895715714f, - -0.386748403310776f, - 0.182803362607956f, -0.386505216360092f, 0.182507008314133f, - -0.386261820793152f, - 0.182210832834244f, -0.386018186807632f, 0.181914865970612f, - -0.385774344205856f, - 0.181619063019753f, -0.385530263185501f, 0.181323468685150f, - -0.385285943746567f, - 0.181028053164482f, -0.385041415691376f, 0.180732816457748f, - -0.384796649217606f, - 0.180437773466110f, -0.384551674127579f, 0.180142924189568f, - -0.384306460618973f, - 0.179848253726959f, -0.384061008691788f, 0.179553776979446f, - -0.383815348148346f, - 0.179259493947029f, -0.383569449186325f, 0.178965389728546f, - -0.383323341608047f, - 0.178671479225159f, -0.383076995611191f, 0.178377762436867f, - -0.382830440998077f, - 0.178084224462509f, -0.382583618164063f, 0.177790880203247f, - -0.382336616516113f, - 0.177497729659081f, -0.382089376449585f, 0.177204772830009f, - -0.381841897964478f, - 0.176911994814873f, -0.381594210863113f, 0.176619410514832f, - -0.381346285343170f, - 0.176327019929886f, -0.381098151206970f, 0.176034808158875f, - -0.380849778652191f, - 0.175742805004120f, -0.380601197481155f, 0.175450980663300f, - -0.380352377891541f, - 0.175159350037575f, -0.380103349685669f, 0.174867913126946f, - -0.379854083061218f, - 0.174576655030251f, -0.379604607820511f, 0.174285605549812f, - -0.379354894161224f, - 0.173994734883308f, -0.379104942083359f, 0.173704057931900f, - -0.378854811191559f, - 0.173413574695587f, -0.378604412078857f, 0.173123285174370f, - -0.378353834152222f, - 0.172833189368248f, -0.378102988004684f, 0.172543287277222f, - -0.377851963043213f, - 0.172253578901291f, -0.377600699663162f, 0.171964049339294f, - -0.377349197864532f, - 0.171674728393555f, -0.377097487449646f, 0.171385586261749f, - -0.376845568418503f, - 0.171096652746201f, -0.376593410968781f, 0.170807912945747f, - -0.376341015100479f, - 0.170519351959229f, -0.376088410615921f, 0.170230999588966f, - -0.375835597515106f, - 0.169942826032639f, -0.375582575798035f, 0.169654861092567f, - -0.375329315662384f, - 0.169367074966431f, -0.375075817108154f, 0.169079497456551f, - -0.374822109937668f, - 0.168792113661766f, -0.374568194150925f, 0.168504923582077f, - -0.374314039945602f, - 0.168217927217484f, -0.374059677124023f, 0.167931124567986f, - -0.373805105686188f, - 0.167644515633583f, -0.373550295829773f, 0.167358100414276f, - -0.373295277357101f, - 0.167071878910065f, -0.373040050268173f, 0.166785866022110f, - -0.372784584760666f, - 0.166500031948090f, -0.372528880834579f, 0.166214406490326f, - -0.372272998094559f, - 0.165928974747658f, -0.372016876935959f, 0.165643751621246f, - -0.371760547161102f, - 0.165358707308769f, -0.371503978967667f, 0.165073871612549f, - -0.371247202157974f, - 0.164789214730263f, -0.370990216732025f, 0.164504766464233f, - -0.370732992887497f, - 0.164220526814461f, -0.370475560426712f, 0.163936465978622f, - -0.370217919349670f, - 0.163652613759041f, -0.369960039854050f, 0.163368955254555f, - -0.369701951742172f, - 0.163085505366325f, -0.369443655014038f, 0.162802234292030f, - -0.369185149669647f, - 0.162519171833992f, -0.368926405906677f, 0.162236317992210f, - -0.368667453527451f, - 0.161953642964363f, -0.368408292531967f, 0.161671176552773f, - -0.368148893117905f, - 0.161388918757439f, -0.367889285087585f, 0.161106839776039f, - -0.367629468441010f, - 0.160824984312058f, -0.367369443178177f, 0.160543307662010f, - -0.367109179496765f, - 0.160261839628220f, -0.366848707199097f, 0.159980565309525f, - -0.366588026285172f, - 0.159699499607086f, -0.366327136754990f, 0.159418627619743f, - -0.366066008806229f, - 0.159137964248657f, -0.365804702043533f, 0.158857494592667f, - -0.365543156862259f, - 0.158577233552933f, -0.365281373262405f, 0.158297166228294f, - -0.365019410848618f, - 0.158017292618752f, -0.364757210016251f, 0.157737627625465f, - -0.364494800567627f, - 0.157458171248436f, -0.364232182502747f, 0.157178908586502f, - -0.363969355821610f, - 0.156899839639664f, -0.363706320524216f, 0.156620979309082f, - -0.363443046808243f, - 0.156342327594757f, -0.363179564476013f, 0.156063869595528f, - -0.362915903329849f, - 0.155785620212555f, -0.362651973962784f, 0.155507579445839f, - -0.362387865781784f, - 0.155229732394218f, -0.362123548984528f, 0.154952079057693f, - -0.361858993768692f, - 0.154674649238586f, -0.361594229936600f, 0.154397398233414f, - -0.361329287290573f, - 0.154120370745659f, -0.361064106225967f, 0.153843536973000f, - -0.360798716545105f, - 0.153566911816597f, -0.360533088445663f, 0.153290495276451f, - -0.360267281532288f, - 0.153014272451401f, -0.360001266002655f, 0.152738258242607f, - -0.359735012054443f, - 0.152462437748909f, -0.359468549489975f, 0.152186840772629f, - -0.359201908111572f, - 0.151911437511444f, -0.358935028314590f, 0.151636242866516f, - -0.358667939901352f, - 0.151361241936684f, -0.358400642871857f, 0.151086464524269f, - -0.358133137226105f, - 0.150811880826950f, -0.357865422964096f, 0.150537505745888f, - -0.357597470283508f, - 0.150263324379921f, -0.357329338788986f, 0.149989366531372f, - -0.357060998678207f, - 0.149715602397919f, -0.356792420148849f, 0.149442046880722f, - -0.356523662805557f, - 0.149168699979782f, -0.356254696846008f, 0.148895561695099f, - -0.355985492467880f, - 0.148622632026672f, -0.355716109275818f, 0.148349896073341f, - -0.355446487665176f, - 0.148077383637428f, -0.355176687240601f, 0.147805064916611f, - -0.354906648397446f, - 0.147532954812050f, -0.354636400938034f, 0.147261068224907f, - -0.354365974664688f, - 0.146989375352860f, -0.354095309972763f, 0.146717891097069f, - -0.353824466466904f, - 0.146446615457535f, -0.353553384542465f, 0.146175548434258f, - -0.353282123804092f, - 0.145904675126076f, -0.353010624647141f, 0.145634025335312f, - -0.352738946676254f, - 0.145363584160805f, -0.352467030286789f, 0.145093351602554f, - -0.352194935083389f, - 0.144823327660561f, -0.351922631263733f, 0.144553512334824f, - -0.351650089025497f, - 0.144283905625343f, -0.351377367973328f, 0.144014507532120f, - -0.351104438304901f, - 0.143745318055153f, -0.350831300020218f, 0.143476337194443f, - -0.350557953119278f, - 0.143207564949989f, -0.350284397602081f, 0.142939001321793f, - -0.350010633468628f, - 0.142670661211014f, -0.349736660718918f, 0.142402514815331f, - -0.349462509155273f, - 0.142134591937065f, -0.349188119173050f, 0.141866862773895f, - -0.348913550376892f, - 0.141599357128143f, -0.348638743162155f, 0.141332060098648f, - -0.348363757133484f, - 0.141064971685410f, -0.348088562488556f, 0.140798106789589f, - -0.347813159227371f, - 0.140531435608864f, -0.347537547349930f, 0.140264987945557f, - -0.347261756658554f, - 0.139998748898506f, -0.346985727548599f, 0.139732718467712f, - -0.346709519624710f, - 0.139466896653175f, -0.346433073282242f, 0.139201298356056f, - -0.346156448125839f, - 0.138935908675194f, -0.345879614353180f, 0.138670727610588f, - -0.345602601766586f, - 0.138405755162239f, -0.345325350761414f, 0.138141006231308f, - -0.345047920942307f, - 0.137876465916634f, -0.344770282506943f, 0.137612134218216f, - -0.344492435455322f, - 0.137348011136055f, -0.344214379787445f, 0.137084111571312f, - -0.343936115503311f, - 0.136820420622826f, -0.343657672405243f, 0.136556953191757f, - -0.343379020690918f, - 0.136293679475784f, -0.343100160360336f, 0.136030644178391f, - -0.342821091413498f, - 0.135767802596092f, -0.342541843652725f, 0.135505184531212f, - -0.342262357473373f, - 0.135242775082588f, -0.341982692480087f, 0.134980589151382f, - -0.341702848672867f, - 0.134718611836433f, -0.341422766447067f, 0.134456858038902f, - -0.341142505407333f, - 0.134195312857628f, -0.340862035751343f, 0.133933976292610f, - -0.340581357479095f, - 0.133672863245010f, -0.340300500392914f, 0.133411958813667f, - -0.340019434690475f, - 0.133151277899742f, -0.339738160371780f, 0.132890805602074f, - -0.339456677436829f, - 0.132630556821823f, -0.339175015687943f, 0.132370531558990f, - -0.338893145322800f, - 0.132110700011253f, -0.338611096143723f, 0.131851106882095f, - -0.338328808546066f, - 0.131591722369194f, -0.338046342134476f, 0.131332546472549f, - -0.337763696908951f, - 0.131073594093323f, -0.337480813264847f, 0.130814850330353f, - -0.337197750806808f, - 0.130556344985962f, -0.336914509534836f, 0.130298033356667f, - -0.336631029844284f, - 0.130039945244789f, -0.336347371339798f, 0.129782080650330f, - -0.336063534021378f, - 0.129524439573288f, -0.335779488086700f, 0.129267007112503f, - -0.335495233535767f, - 0.129009798169136f, -0.335210770368576f, 0.128752797842026f, - -0.334926128387451f, - 0.128496021032333f, -0.334641307592392f, 0.128239467740059f, - -0.334356248378754f, - 0.127983123064041f, -0.334071010351181f, 0.127727001905441f, - -0.333785593509674f, - 0.127471104264259f, -0.333499968051910f, 0.127215430140495f, - -0.333214133977890f, - 0.126959964632988f, -0.332928121089935f, 0.126704722642899f, - -0.332641899585724f, - 0.126449704170227f, -0.332355499267578f, 0.126194894313812f, - -0.332068890333176f, - 0.125940307974815f, -0.331782072782516f, 0.125685945153236f, - -0.331495076417923f, - 0.125431805849075f, -0.331207901239395f, 0.125177875161171f, - -0.330920487642288f, - 0.124924175441265f, -0.330632925033569f, 0.124670691788197f, - -0.330345153808594f, - 0.124417431652546f, -0.330057173967361f, 0.124164395034313f, - -0.329769015312195f, - 0.123911574482918f, -0.329480648040771f, 0.123658977448940f, - -0.329192101955414f, - 0.123406603932381f, -0.328903347253799f, 0.123154446482658f, - -0.328614413738251f, - 0.122902512550354f, -0.328325271606445f, 0.122650802135468f, - -0.328035950660706f, - 0.122399315237999f, -0.327746421098709f, 0.122148044407368f, - -0.327456712722778f, - 0.121896997094154f, -0.327166795730591f, 0.121646173298359f, - -0.326876699924469f, - 0.121395580470562f, -0.326586425304413f, 0.121145196259022f, - -0.326295942068100f, - 0.120895043015480f, -0.326005280017853f, 0.120645113289356f, - -0.325714409351349f, - 0.120395407080650f, -0.325423330068588f, 0.120145916938782f, - -0.325132101774216f, - 0.119896657764912f, -0.324840664863586f, 0.119647622108459f, - -0.324549019336700f, - 0.119398809969425f, -0.324257194995880f, 0.119150213897228f, - -0.323965191841125f, - 0.118901848793030f, -0.323672980070114f, 0.118653707206249f, - -0.323380589485168f, - 0.118405789136887f, -0.323088020086288f, 0.118158094584942f, - -0.322795242071152f, - 0.117910631000996f, -0.322502255439758f, 0.117663383483887f, - -0.322209119796753f, - 0.117416366934776f, -0.321915775537491f, 0.117169573903084f, - -0.321622252464294f, - 0.116923004388809f, -0.321328520774841f, 0.116676658391953f, - -0.321034610271454f, - 0.116430543363094f, -0.320740520954132f, 0.116184651851654f, - -0.320446223020554f, - 0.115938983857632f, -0.320151746273041f, 0.115693546831608f, - -0.319857090711594f, - 0.115448333323002f, -0.319562226533890f, 0.115203343331814f, - -0.319267183542252f, - 0.114958584308624f, -0.318971961736679f, 0.114714048802853f, - -0.318676531314850f, - 0.114469736814499f, -0.318380922079086f, 0.114225655794144f, - -0.318085134029388f, - 0.113981798291206f, -0.317789167165756f, 0.113738171756268f, - -0.317492991685867f, - 0.113494776189327f, -0.317196637392044f, 0.113251596689224f, - -0.316900104284287f, - 0.113008655607700f, -0.316603392362595f, 0.112765938043594f, - -0.316306471824646f, - 0.112523443996906f, -0.316009372472763f, 0.112281180918217f, - -0.315712094306946f, - 0.112039148807526f, -0.315414607524872f, 0.111797347664833f, - -0.315116971731186f, - 0.111555770039558f, -0.314819127321243f, 0.111314415931702f, - -0.314521104097366f, - 0.111073300242424f, -0.314222872257233f, 0.110832408070564f, - -0.313924491405487f, - 0.110591746866703f, -0.313625901937485f, 0.110351309180260f, - -0.313327133655548f, - 0.110111102461815f, -0.313028186559677f, 0.109871134161949f, - -0.312729060649872f, - 0.109631389379501f, -0.312429755926132f, 0.109391868114471f, - -0.312130242586136f, - 0.109152585268021f, -0.311830550432205f, 0.108913525938988f, - -0.311530679464340f, - 0.108674705028534f, -0.311230629682541f, 0.108436107635498f, - -0.310930401086807f, - 0.108197741210461f, -0.310629993677139f, 0.107959605753422f, - -0.310329377651215f, - 0.107721701264381f, -0.310028612613678f, 0.107484027743340f, - -0.309727638959885f, - 0.107246585190296f, -0.309426486492157f, 0.107009373605251f, - -0.309125155210495f, - 0.106772392988205f, -0.308823645114899f, 0.106535643339157f, - -0.308521956205368f, - 0.106299124658108f, -0.308220088481903f, 0.106062836945057f, - -0.307918041944504f, - 0.105826787650585f, -0.307615786790848f, 0.105590961873531f, - -0.307313382625580f, - 0.105355374515057f, -0.307010769844055f, 0.105120018124580f, - -0.306708008050919f, - 0.104884892702103f, -0.306405037641525f, 0.104649998247623f, - -0.306101888418198f, - 0.104415334761143f, -0.305798590183258f, 0.104180909693241f, - -0.305495083332062f, - 0.103946708142757f, -0.305191397666931f, 0.103712752461433f, - -0.304887533187866f, - 0.103479020297527f, -0.304583519697189f, 0.103245526552200f, - -0.304279297590256f, - 0.103012263774872f, -0.303974896669388f, 0.102779231965542f, - -0.303670316934586f, - 0.102546438574791f, -0.303365558385849f, 0.102313876152039f, - -0.303060621023178f, - 0.102081544697285f, -0.302755534648895f, 0.101849451661110f, - -0.302450239658356f, - 0.101617597043514f, -0.302144765853882f, 0.101385973393917f, - -0.301839113235474f, - 0.101154580712318f, -0.301533311605453f, 0.100923426449299f, - -0.301227301359177f, - 0.100692503154278f, -0.300921112298965f, 0.100461818277836f, - -0.300614774227142f, - 0.100231364369392f, -0.300308227539063f, 0.100001148879528f, - -0.300001531839371f, - 0.099771171808243f, -0.299694657325745f, 0.099541425704956f, - -0.299387603998184f, - 0.099311910569668f, -0.299080342054367f, 0.099082641303539f, - -0.298772931098938f, - 0.098853603005409f, -0.298465341329575f, 0.098624803125858f, - -0.298157602548599f, - 0.098396234214306f, -0.297849655151367f, 0.098167903721333f, - -0.297541528940201f, - 0.097939811646938f, -0.297233253717422f, 0.097711957991123f, - -0.296924799680710f, - 0.097484335303307f, -0.296616137027740f, 0.097256951034069f, - -0.296307325363159f, - 0.097029805183411f, -0.295998334884644f, 0.096802897751331f, - -0.295689195394516f, - 0.096576221287251f, -0.295379847288132f, 0.096349790692329f, - -0.295070350170136f, - 0.096123591065407f, -0.294760644435883f, 0.095897629857063f, - -0.294450789690018f, - 0.095671907067299f, -0.294140785932541f, 0.095446422696114f, - -0.293830573558807f, - 0.095221176743507f, -0.293520182371140f, 0.094996169209480f, - -0.293209642171860f, - 0.094771400094032f, -0.292898923158646f, 0.094546869397163f, - -0.292588025331497f, - 0.094322577118874f, -0.292276978492737f, 0.094098523259163f, - -0.291965723037720f, - 0.093874707818031f, -0.291654318571091f, 0.093651130795479f, - -0.291342735290527f, - 0.093427792191505f, -0.291031002998352f, 0.093204692006111f, - -0.290719062089920f, - 0.092981837689877f, -0.290406972169876f, 0.092759214341640f, - -0.290094703435898f, - 0.092536836862564f, -0.289782285690308f, 0.092314697802067f, - -0.289469659328461f, - 0.092092797160149f, -0.289156883955002f, 0.091871134936810f, - -0.288843959569931f, - 0.091649711132050f, -0.288530826568604f, 0.091428533196449f, - -0.288217544555664f, - 0.091207593679428f, -0.287904083728790f, 0.090986892580986f, - -0.287590473890305f, - 0.090766437351704f, -0.287276685237885f, 0.090546220541000f, - -0.286962717771530f, - 0.090326242148876f, -0.286648571491241f, 0.090106502175331f, - -0.286334276199341f, - 0.089887008070946f, -0.286019802093506f, 0.089667752385139f, - -0.285705178976059f, - 0.089448742568493f, -0.285390377044678f, 0.089229971170425f, - -0.285075396299362f, - 0.089011445641518f, -0.284760266542435f, 0.088793158531189f, - -0.284444957971573f, - 0.088575109839439f, -0.284129470586777f, 0.088357307016850f, - -0.283813834190369f, - 0.088139742612839f, -0.283498018980026f, 0.087922424077988f, - -0.283182054758072f, - 0.087705351412296f, -0.282865911722183f, 0.087488517165184f, - -0.282549589872360f, - 0.087271921336651f, -0.282233119010925f, 0.087055571377277f, - -0.281916469335556f, - 0.086839467287064f, -0.281599670648575f, 0.086623609066010f, - -0.281282693147659f, - 0.086407989263535f, -0.280965566635132f, 0.086192607879639f, - -0.280648261308670f, - 0.085977479815483f, -0.280330777168274f, 0.085762590169907f, - -0.280013144016266f, - 0.085547938942909f, -0.279695361852646f, 0.085333541035652f, - -0.279377400875092f, - 0.085119381546974f, -0.279059261083603f, 0.084905467927456f, - -0.278740972280502f, - 0.084691800177097f, -0.278422504663467f, 0.084478378295898f, - -0.278103888034821f, - 0.084265194833279f, -0.277785122394562f, 0.084052257239819f, - -0.277466177940369f, - 0.083839565515518f, -0.277147054672241f, 0.083627119660378f, - -0.276827782392502f, - 0.083414919674397f, -0.276508361101151f, 0.083202958106995f, - -0.276188760995865f, - 0.082991249859333f, -0.275868982076645f, 0.082779780030251f, - -0.275549083948135f, - 0.082568563520908f, -0.275228977203369f, 0.082357585430145f, - -0.274908751249313f, - 0.082146860659122f, -0.274588316679001f, 0.081936374306679f, - -0.274267762899399f, - 0.081726133823395f, -0.273947030305862f, 0.081516146659851f, - -0.273626148700714f, - 0.081306397914886f, -0.273305088281631f, 0.081096902489662f, - -0.272983878850937f, - 0.080887645483017f, -0.272662490606308f, 0.080678641796112f, - -0.272340953350067f, - 0.080469883978367f, -0.272019267082214f, 0.080261372029781f, - -0.271697402000427f, - 0.080053105950356f, -0.271375387907028f, 0.079845085740089f, - -0.271053224802017f, - 0.079637311398983f, -0.270730882883072f, 0.079429790377617f, - -0.270408391952515f, - 0.079222507774830f, -0.270085722208023f, 0.079015478491783f, - -0.269762933254242f, - 0.078808702528477f, -0.269439965486526f, 0.078602164983749f, - -0.269116818904877f, - 0.078395880758762f, -0.268793523311615f, 0.078189842402935f, - -0.268470078706741f, - 0.077984049916267f, -0.268146485090256f, 0.077778510749340f, - -0.267822742462158f, - 0.077573217451572f, -0.267498821020126f, 0.077368170022964f, - -0.267174720764160f, - 0.077163375914097f, -0.266850501298904f, 0.076958827674389f, - -0.266526103019714f, - 0.076754532754421f, -0.266201555728912f, 0.076550483703613f, - -0.265876859426498f, - 0.076346680521965f, -0.265552014112473f, 0.076143130660057f, - -0.265226989984512f, - 0.075939826667309f, -0.264901816844940f, 0.075736775994301f, - -0.264576494693756f, - 0.075533971190453f, -0.264250993728638f, 0.075331419706345f, - -0.263925373554230f, - 0.075129114091396f, -0.263599574565887f, 0.074927061796188f, - -0.263273626565933f, - 0.074725262820721f, -0.262947499752045f, 0.074523709714413f, - -0.262621253728867f, - 0.074322402477264f, -0.262294828891754f, 0.074121348559856f, - -0.261968284845352f, - 0.073920547962189f, -0.261641561985016f, 0.073720000684261f, - -0.261314690113068f, - 0.073519699275494f, -0.260987639427185f, 0.073319651186466f, - -0.260660469532013f, - 0.073119848966599f, -0.260333120822906f, 0.072920300066471f, - -0.260005623102188f, - 0.072721004486084f, -0.259678006172180f, 0.072521962225437f, - -0.259350210428238f, - 0.072323165833950f, -0.259022265672684f, 0.072124622762203f, - -0.258694142103195f, - 0.071926333010197f, -0.258365899324417f, 0.071728296577930f, - -0.258037507534027f, - 0.071530513465405f, -0.257708936929703f, 0.071332976222038f, - -0.257380217313766f, - 0.071135692298412f, -0.257051378488541f, 0.070938661694527f, - -0.256722360849380f, - 0.070741884410381f, -0.256393194198608f, 0.070545360445976f, - -0.256063878536224f, - 0.070349089801311f, -0.255734413862228f, 0.070153072476387f, - -0.255404800176620f, - 0.069957308471203f, -0.255075037479401f, 0.069761790335178f, - -0.254745125770569f, - 0.069566532969475f, -0.254415065050125f, 0.069371521472931f, - -0.254084855318069f, - 0.069176770746708f, -0.253754496574402f, 0.068982265889645f, - -0.253423988819122f, - 0.068788021802902f, -0.253093332052231f, 0.068594031035900f, - -0.252762526273727f, - 0.068400286138058f, -0.252431541681290f, 0.068206802010536f, - -0.252100437879562f, - 0.068013571202755f, -0.251769185066223f, 0.067820593714714f, - -0.251437783241272f, - 0.067627869546413f, -0.251106232404709f, 0.067435398697853f, - -0.250774532556534f, - 0.067243188619614f, -0.250442683696747f, 0.067051224410534f, - -0.250110685825348f, - 0.066859520971775f, -0.249778553843498f, 0.066668070852757f, - -0.249446272850037f, - 0.066476874053478f, -0.249113827943802f, 0.066285938024521f, - -0.248781248927116f, - 0.066095255315304f, -0.248448520898819f, 0.065904818475246f, - -0.248115643858910f, - 0.065714649856091f, -0.247782632708550f, 0.065524727106094f, - -0.247449472546577f, - 0.065335065126419f, -0.247116148471832f, 0.065145656466484f, - -0.246782705187798f, - 0.064956501126289f, -0.246449097990990f, 0.064767606556416f, - -0.246115356683731f, - 0.064578965306282f, -0.245781451463699f, 0.064390584826469f, - -0.245447427034378f, - 0.064202457666397f, -0.245113238692284f, 0.064014583826065f, - -0.244778916239738f, - 0.063826970756054f, -0.244444444775581f, 0.063639611005783f, - -0.244109839200974f, - 0.063452512025833f, -0.243775084614754f, 0.063265666365623f, - -0.243440181016922f, - 0.063079081475735f, -0.243105143308640f, 0.062892749905586f, - -0.242769956588745f, - 0.062706671655178f, -0.242434620857239f, 0.062520854175091f, - -0.242099151015282f, - 0.062335297465324f, -0.241763532161713f, 0.062149997800589f, - -0.241427779197693f, - 0.061964951455593f, -0.241091892123222f, 0.061780165880919f, - -0.240755841135979f, - 0.061595637351274f, -0.240419670939446f, 0.061411365866661f, - -0.240083336830139f, - 0.061227355152369f, -0.239746883511543f, 0.061043601483107f, - -0.239410281181335f, - 0.060860104858875f, -0.239073529839516f, 0.060676865279675f, - -0.238736644387245f, - 0.060493886470795f, -0.238399609923363f, 0.060311164706945f, - -0.238062441349030f, - 0.060128703713417f, -0.237725138664246f, 0.059946499764919f, - -0.237387686967850f, - 0.059764556586742f, -0.237050101161003f, 0.059582870453596f, - -0.236712381243706f, - 0.059401445090771f, -0.236374512314796f, 0.059220276772976f, - -0.236036509275436f, - 0.059039369225502f, -0.235698372125626f, 0.058858718723059f, - -0.235360085964203f, - 0.058678328990936f, -0.235021665692329f, 0.058498200029135f, - -0.234683111310005f, - 0.058318331837654f, -0.234344407916069f, 0.058138720691204f, - -0.234005570411682f, - 0.057959370315075f, -0.233666598796844f, 0.057780280709267f, - -0.233327493071556f, - 0.057601451873779f, -0.232988253235817f, 0.057422880083323f, - -0.232648864388466f, - 0.057244572788477f, -0.232309341430664f, 0.057066522538662f, - -0.231969684362412f, - 0.056888736784458f, -0.231629893183708f, 0.056711208075285f, - -0.231289967894554f, - 0.056533940136433f, -0.230949893593788f, 0.056356932967901f, - -0.230609700083733f, - 0.056180190294981f, -0.230269357562065f, 0.056003704667091f, - -0.229928880929947f, - 0.055827483534813f, -0.229588270187378f, 0.055651523172855f, - -0.229247525334358f, - 0.055475823581219f, -0.228906646370888f, 0.055300384759903f, - -0.228565633296967f, - 0.055125206708908f, -0.228224486112595f, 0.054950293153524f, - -0.227883204817772f, - 0.054775636643171f, -0.227541789412498f, 0.054601248353720f, - -0.227200239896774f, - 0.054427117109299f, -0.226858556270599f, 0.054253250360489f, - -0.226516738533974f, - 0.054079644382000f, -0.226174786686897f, 0.053906302899122f, - -0.225832715630531f, - 0.053733222186565f, -0.225490495562553f, 0.053560405969620f, - -0.225148141384125f, - 0.053387850522995f, -0.224805667996407f, 0.053215555846691f, - -0.224463045597076f, - 0.053043525665998f, -0.224120303988457f, 0.052871759980917f, - -0.223777428269386f, - 0.052700258791447f, -0.223434418439865f, 0.052529018372297f, - -0.223091274499893f, - 0.052358038723469f, -0.222748011350632f, 0.052187327295542f, - -0.222404599189758f, - 0.052016876637936f, -0.222061067819595f, 0.051846686750650f, - -0.221717402338982f, - 0.051676765084267f, -0.221373617649078f, 0.051507104188204f, - -0.221029683947563f, - 0.051337707787752f, -0.220685631036758f, 0.051168579608202f, - -0.220341444015503f, - 0.050999708473682f, -0.219997137784958f, 0.050831105560064f, - -0.219652697443962f, - 0.050662767142057f, -0.219308122992516f, 0.050494693219662f, - -0.218963414430618f, - 0.050326880067587f, -0.218618586659431f, 0.050159335136414f, - -0.218273624777794f, - 0.049992054700851f, -0.217928543686867f, 0.049825038760900f, - -0.217583328485489f, - 0.049658283591270f, -0.217237979173660f, 0.049491796642542f, - -0.216892510652542f, - 0.049325577914715f, -0.216546908020973f, 0.049159619957209f, - -0.216201186180115f, - 0.048993926495314f, -0.215855330228806f, 0.048828501254320f, - -0.215509355068207f, - 0.048663340508938f, -0.215163245797157f, 0.048498444259167f, - -0.214817002415657f, - 0.048333816230297f, -0.214470639824867f, 0.048169452697039f, - -0.214124158024788f, - 0.048005353659391f, -0.213777542114258f, 0.047841522842646f, - -0.213430806994438f, - 0.047677956521511f, -0.213083937764168f, 0.047514654695988f, - -0.212736949324608f, - 0.047351621091366f, -0.212389841675758f, 0.047188851982355f, - -0.212042599916458f, - 0.047026351094246f, -0.211695238947868f, 0.046864114701748f, - -0.211347743868828f, - 0.046702146530151f, -0.211000129580498f, 0.046540446579456f, - -0.210652396082878f, - 0.046379011124372f, -0.210304543375969f, 0.046217843890190f, - -0.209956556558609f, - 0.046056941151619f, -0.209608450531960f, 0.045896306633949f, - -0.209260210394859f, - 0.045735940337181f, -0.208911851048470f, 0.045575842261314f, - -0.208563387393951f, - 0.045416008681059f, -0.208214774727821f, 0.045256443321705f, - -0.207866057753563f, - 0.045097146183252f, -0.207517206668854f, 0.044938117265701f, - -0.207168251276016f, - 0.044779352843761f, -0.206819161772728f, 0.044620860368013f, - -0.206469938158989f, - 0.044462632387877f, -0.206120610237122f, 0.044304672628641f, - -0.205771163105965f, - 0.044146984815598f, -0.205421581864357f, 0.043989561498165f, - -0.205071896314621f, - 0.043832406401634f, -0.204722076654434f, 0.043675523251295f, - -0.204372137784958f, - 0.043518904596567f, -0.204022079706192f, 0.043362557888031f, - -0.203671902418137f, - 0.043206475675106f, -0.203321605920792f, 0.043050665408373f, - -0.202971190214157f, - 0.042895123362541f, -0.202620655298233f, 0.042739849537611f, - -0.202270001173019f, - 0.042584843933582f, -0.201919227838516f, 0.042430106550455f, - -0.201568335294724f, - 0.042275641113520f, -0.201217323541641f, 0.042121443897486f, - -0.200866192579269f, - 0.041967518627644f, -0.200514942407608f, 0.041813857853413f, - -0.200163587927818f, - 0.041660469025373f, -0.199812099337578f, 0.041507352143526f, - -0.199460506439209f, - 0.041354499757290f, -0.199108779430389f, 0.041201923042536f, - -0.198756948113441f, - 0.041049610823393f, -0.198404997587204f, 0.040897574275732f, - -0.198052927851677f, - 0.040745802223682f, -0.197700738906860f, 0.040594302117825f, - -0.197348430752754f, - 0.040443073958158f, -0.196996018290520f, 0.040292114019394f, - -0.196643486618996f, - 0.040141426026821f, -0.196290835738182f, 0.039991009980440f, - -0.195938065648079f, - 0.039840862154961f, -0.195585191249847f, 0.039690986275673f, - -0.195232197642326f, - 0.039541378617287f, -0.194879084825516f, 0.039392042905092f, - -0.194525867700577f, - 0.039242979139090f, -0.194172516465187f, 0.039094187319279f, - -0.193819075822830f, - 0.038945667445660f, -0.193465501070023f, 0.038797415792942f, - -0.193111822009087f, - 0.038649436086416f, -0.192758023738861f, 0.038501728326082f, - -0.192404121160507f, - 0.038354292511940f, -0.192050099372864f, 0.038207128643990f, - -0.191695958375931f, - 0.038060232996941f, -0.191341713070869f, 0.037913613021374f, - -0.190987363457680f, - 0.037767261266708f, -0.190632879734039f, 0.037621185183525f, - -0.190278306603432f, - 0.037475381046534f, -0.189923599362373f, 0.037329845130444f, - -0.189568802714348f, - 0.037184584885836f, -0.189213871955872f, 0.037039596587420f, - -0.188858851790428f, - 0.036894880235195f, -0.188503712415695f, 0.036750435829163f, - -0.188148453831673f, - 0.036606263369322f, -0.187793090939522f, 0.036462362855673f, - -0.187437608838081f, - 0.036318738013506f, -0.187082037329674f, 0.036175385117531f, - -0.186726331710815f, - 0.036032304167747f, -0.186370536684990f, 0.035889495164156f, - -0.186014622449875f, - 0.035746958106756f, -0.185658603906631f, 0.035604696720839f, - -0.185302466154099f, - 0.035462711006403f, -0.184946224093437f, 0.035320993512869f, - -0.184589877724648f, - 0.035179551690817f, -0.184233412146568f, 0.035038381814957f, - -0.183876842260361f, - 0.034897487610579f, -0.183520168066025f, 0.034756865352392f, - -0.183163389563560f, - 0.034616518765688f, -0.182806491851807f, 0.034476444125175f, - -0.182449504733086f, - 0.034336645156145f, -0.182092398405075f, 0.034197118133307f, - -0.181735187768936f, - 0.034057866781950f, -0.181377857923508f, 0.033918887376785f, - -0.181020438671112f, - 0.033780183643103f, -0.180662900209427f, 0.033641755580902f, - -0.180305257439613f, - 0.033503599464893f, -0.179947525262833f, 0.033365719020367f, - -0.179589673876762f, - 0.033228114247322f, -0.179231703281403f, 0.033090781420469f, - -0.178873643279076f, - 0.032953724265099f, -0.178515478968620f, 0.032816942781210f, - -0.178157210350037f, - 0.032680433243513f, -0.177798837423325f, 0.032544203102589f, - -0.177440345287323f, - 0.032408244907856f, -0.177081763744354f, 0.032272562384605f, - -0.176723077893257f, - 0.032137155532837f, -0.176364272832870f, 0.032002024352551f, - -0.176005378365517f, - 0.031867165118456f, -0.175646379590034f, 0.031732585281134f, - -0.175287276506424f, - 0.031598277390003f, -0.174928069114685f, 0.031464248895645f, - -0.174568757414818f, - 0.031330492347479f, -0.174209341406822f, 0.031197015196085f, - -0.173849821090698f, - 0.031063811853528f, -0.173490211367607f, 0.030930884182453f, - -0.173130482435226f, - 0.030798232182860f, -0.172770664095879f, 0.030665857717395f, - -0.172410741448402f, - 0.030533758923411f, -0.172050714492798f, 0.030401935800910f, - -0.171690583229065f, - 0.030270388349891f, -0.171330362558365f, 0.030139118432999f, - -0.170970037579536f, - 0.030008124187589f, -0.170609608292580f, 0.029877405613661f, - -0.170249074697495f, - 0.029746964573860f, -0.169888436794281f, 0.029616801068187f, - -0.169527709484100f, - 0.029486913233995f, -0.169166877865791f, 0.029357301071286f, - -0.168805956840515f, - 0.029227968305349f, -0.168444931507111f, 0.029098909348249f, - -0.168083801865578f, - 0.028970129787922f, -0.167722567915916f, 0.028841627761722f, - -0.167361244559288f, - 0.028713401407003f, -0.166999831795692f, 0.028585452586412f, - -0.166638299822807f, - 0.028457781299949f, -0.166276678442955f, 0.028330387547612f, - -0.165914967656136f, - 0.028203271329403f, -0.165553152561188f, 0.028076432645321f, - -0.165191248059273f, - 0.027949871495366f, -0.164829224348068f, 0.027823587879539f, - -0.164467126131058f, - 0.027697581797838f, -0.164104923605919f, 0.027571853250265f, - -0.163742616772652f, - 0.027446404099464f, -0.163380220532417f, 0.027321230620146f, - -0.163017734885216f, - 0.027196336537600f, -0.162655144929886f, 0.027071721851826f, - -0.162292465567589f, - 0.026947384700179f, -0.161929681897163f, 0.026823325082660f, - -0.161566808819771f, - 0.026699542999268f, -0.161203846335411f, 0.026576040312648f, - -0.160840779542923f, - 0.026452817022800f, -0.160477623343468f, 0.026329871267080f, - -0.160114362835884f, - 0.026207204908133f, -0.159751012921333f, 0.026084816083312f, - -0.159387573599815f, - 0.025962706655264f, -0.159024044871330f, 0.025840876623988f, - -0.158660411834717f, - 0.025719324126840f, -0.158296689391136f, 0.025598052889109f, - -0.157932877540588f, - 0.025477059185505f, -0.157568961381912f, 0.025356344878674f, - -0.157204970717430f, - 0.025235909968615f, -0.156840875744820f, 0.025115754455328f, - -0.156476691365242f, - 0.024995878338814f, -0.156112402677536f, 0.024876279756427f, - -0.155748039484024f, - 0.024756962433457f, -0.155383571982384f, 0.024637924507260f, - -0.155019029974937f, - 0.024519165977836f, -0.154654383659363f, 0.024400688707829f, - -0.154289647936821f, - 0.024282488971949f, -0.153924822807312f, 0.024164570495486f, - -0.153559908270836f, - 0.024046931415796f, -0.153194904327393f, 0.023929571732879f, - -0.152829796075821f, - 0.023812493309379f, -0.152464613318443f, 0.023695694282651f, - -0.152099341154099f, - 0.023579176515341f, -0.151733979582787f, 0.023462938144803f, - -0.151368513703346f, - 0.023346979171038f, -0.151002973318100f, 0.023231301456690f, - -0.150637343525887f, - 0.023115905001760f, -0.150271624326706f, 0.023000787943602f, - -0.149905815720558f, - 0.022885952144861f, -0.149539917707443f, 0.022771397605538f, - -0.149173930287361f, - 0.022657122462988f, -0.148807853460312f, 0.022543128579855f, - -0.148441687226295f, - 0.022429415956140f, -0.148075446486473f, 0.022315984591842f, - -0.147709101438522f, - 0.022202832624316f, -0.147342681884766f, 0.022089963778853f, - -0.146976172924042f, - 0.021977374330163f, -0.146609574556351f, 0.021865066140890f, - -0.146242901682854f, - 0.021753041073680f, -0.145876124501228f, 0.021641295403242f, - -0.145509272813797f, - 0.021529832854867f, -0.145142331719399f, 0.021418649703264f, - -0.144775316119194f, - 0.021307749673724f, -0.144408211112022f, 0.021197130903602f, - -0.144041016697884f, - 0.021086793392897f, -0.143673732876778f, 0.020976737141609f, - -0.143306359648705f, - 0.020866964012384f, -0.142938911914825f, 0.020757472142577f, - -0.142571389675140f, - 0.020648263394833f, -0.142203763127327f, 0.020539334043860f, - -0.141836062073708f, - 0.020430689677596f, -0.141468286514282f, 0.020322324708104f, - -0.141100421547890f, - 0.020214242860675f, -0.140732467174530f, 0.020106444135308f, - -0.140364438295364f, - 0.019998926669359f, -0.139996320009232f, 0.019891692325473f, - -0.139628127217293f, - 0.019784741103649f, -0.139259845018387f, 0.019678071141243f, - -0.138891488313675f, - 0.019571684300900f, -0.138523042201996f, 0.019465578719974f, - -0.138154521584511f, - 0.019359756261110f, -0.137785911560059f, 0.019254218786955f, - -0.137417227029800f, - 0.019148962572217f, -0.137048453092575f, 0.019043987616897f, - -0.136679604649544f, - 0.018939297646284f, -0.136310681700706f, 0.018834890797734f, - -0.135941669344902f, - 0.018730765208602f, -0.135572582483292f, 0.018626924604177f, - -0.135203406214714f, - 0.018523367121816f, -0.134834155440331f, 0.018420090898871f, - -0.134464830160141f, - 0.018317099660635f, -0.134095430374146f, 0.018214391544461f, - -0.133725941181183f, - 0.018111966550350f, -0.133356377482414f, 0.018009826540947f, - -0.132986739277840f, - 0.017907967790961f, -0.132617011666298f, 0.017806394025683f, - -0.132247209548950f, - 0.017705103382468f, -0.131877332925797f, 0.017604095861316f, - -0.131507381796837f, - 0.017503373324871f, -0.131137356162071f, 0.017402933910489f, - -0.130767241120338f, - 0.017302779480815f, -0.130397051572800f, 0.017202908173203f, - -0.130026802420616f, - 0.017103319987655f, -0.129656463861465f, 0.017004016786814f, - -0.129286035895348f, - 0.016904998570681f, -0.128915548324585f, 0.016806263476610f, - -0.128544986248016f, - 0.016707813367248f, -0.128174334764481f, 0.016609646379948f, - -0.127803623676300f, - 0.016511764377356f, -0.127432823181152f, 0.016414167359471f, - -0.127061963081360f, - 0.016316853463650f, -0.126691013574600f, 0.016219824552536f, - -0.126320004463196f, - 0.016123080626130f, -0.125948905944824f, 0.016026621684432f, - -0.125577747821808f, - 0.015930447727442f, -0.125206500291824f, 0.015834558755159f, - -0.124835193157196f, - 0.015738952904940f, -0.124463804066181f, 0.015643632039428f, - -0.124092340469360f, - 0.015548598021269f, -0.123720809817314f, 0.015453847125173f, - -0.123349204659462f, - 0.015359382145107f, -0.122977524995804f, 0.015265202149749f, - -0.122605770826340f, - 0.015171307139099f, -0.122233949601650f, 0.015077698044479f, - -0.121862053871155f, - 0.014984373003244f, -0.121490091085434f, 0.014891333878040f, - -0.121118053793907f, - 0.014798580668867f, -0.120745941996574f, 0.014706112444401f, - -0.120373763144016f, - 0.014613929204643f, -0.120001509785652f, 0.014522032812238f, - -0.119629189372063f, - 0.014430420473218f, -0.119256794452667f, 0.014339094981551f, - -0.118884332478046f, - 0.014248054474592f, -0.118511803448200f, 0.014157299883664f, - -0.118139199912548f, - 0.014066831208766f, -0.117766529321671f, 0.013976648449898f, - -0.117393791675568f, - 0.013886751607060f, -0.117020979523659f, 0.013797140680254f, - -0.116648100316525f, - 0.013707815669477f, -0.116275154054165f, 0.013618776574731f, - -0.115902140736580f, - 0.013530024327338f, -0.115529052913189f, 0.013441557064652f, - -0.115155905485153f, - 0.013353376649320f, -0.114782683551311f, 0.013265483081341f, - -0.114409394562244f, - 0.013177875429392f, -0.114036038517952f, 0.013090553693473f, - -0.113662622869015f, - 0.013003518804908f, -0.113289132714272f, 0.012916770763695f, - -0.112915575504303f, - 0.012830308638513f, -0.112541958689690f, 0.012744133360684f, - -0.112168267369270f, - 0.012658244930208f, -0.111794516444206f, 0.012572642415762f, - -0.111420698463917f, - 0.012487327679992f, -0.111046813428402f, 0.012402298860252f, - -0.110672861337662f, - 0.012317557819188f, -0.110298842191696f, 0.012233102694154f, - -0.109924763441086f, - 0.012148935347795f, -0.109550617635250f, 0.012065053917468f, - -0.109176412224770f, - 0.011981460265815f, -0.108802139759064f, 0.011898153461516f, - -0.108427800238132f, - 0.011815134435892f, -0.108053401112556f, 0.011732402257621f, - -0.107678934931755f, - 0.011649956926703f, -0.107304409146309f, 0.011567799374461f, - -0.106929816305637f, - 0.011485928669572f, -0.106555156409740f, 0.011404345743358f, - -0.106180444359779f, - 0.011323049664497f, -0.105805665254593f, 0.011242041364312f, - -0.105430819094181f, - 0.011161320842803f, -0.105055920779705f, 0.011080888099968f, - -0.104680955410004f, - 0.011000742204487f, -0.104305922985077f, 0.010920885019004f, - -0.103930838406086f, - 0.010841314680874f, -0.103555686771870f, 0.010762032121420f, - -0.103180475533009f, - 0.010683037340641f, -0.102805204689503f, 0.010604331269860f, - -0.102429874241352f, - 0.010525912046432f, -0.102054484188557f, 0.010447781533003f, - -0.101679034531116f, - 0.010369938798249f, -0.101303517818451f, 0.010292383842170f, - -0.100927948951721f, - 0.010215117596090f, -0.100552320480347f, 0.010138138197362f, - -0.100176624953747f, - 0.010061448439956f, -0.099800877273083f, 0.009985045529902f, - -0.099425069987774f, - 0.009908932261169f, -0.099049203097820f, 0.009833106771111f, - -0.098673284053802f, - 0.009757569059730f, -0.098297297954559f, 0.009682320058346f, - -0.097921259701252f, - 0.009607359766960f, -0.097545161843300f, 0.009532688185573f, - -0.097169004380703f, - 0.009458304382861f, -0.096792794764042f, 0.009384209290147f, - -0.096416525542736f, - 0.009310402907431f, -0.096040196716785f, 0.009236886166036f, - -0.095663815736771f, - 0.009163657203317f, -0.095287375152111f, 0.009090716950595f, - -0.094910882413387f, - 0.009018065407872f, -0.094534330070019f, 0.008945702575147f, - -0.094157725572586f, - 0.008873629383743f, -0.093781061470509f, 0.008801844902337f, - -0.093404345214367f, - 0.008730349130929f, -0.093027576804161f, 0.008659142069519f, - -0.092650748789310f, - 0.008588224649429f, -0.092273868620396f, 0.008517595939338f, - -0.091896936297417f, - 0.008447255939245f, -0.091519944369793f, 0.008377205580473f, - -0.091142900288105f, - 0.008307444863021f, -0.090765804052353f, 0.008237972855568f, - -0.090388655662537f, - 0.008168790489435f, -0.090011447668076f, 0.008099896833301f, - -0.089634194970131f, - 0.008031292818487f, -0.089256882667542f, 0.007962978444993f, - -0.088879525661469f, - 0.007894953712821f, -0.088502109050751f, 0.007827218621969f, - -0.088124647736549f, - 0.007759772241116f, -0.087747126817703f, 0.007692615967244f, - -0.087369553744793f, - 0.007625748869032f, -0.086991935968399f, 0.007559171877801f, - -0.086614266037941f, - 0.007492884527892f, -0.086236543953419f, 0.007426886819303f, - -0.085858769714832f, - 0.007361178752035f, -0.085480943322182f, 0.007295760791749f, - -0.085103072226048f, - 0.007230632472783f, -0.084725148975849f, 0.007165793795139f, - -0.084347173571587f, - 0.007101245224476f, -0.083969146013260f, 0.007036986760795f, - -0.083591073751450f, - 0.006973018404096f, -0.083212949335575f, 0.006909339688718f, - -0.082834780216217f, - 0.006845951545984f, -0.082456558942795f, 0.006782853044569f, - -0.082078292965889f, - 0.006720044650137f, -0.081699974834919f, 0.006657526828349f, - -0.081321612000465f, - 0.006595299113542f, -0.080943197011948f, 0.006533361505717f, - -0.080564737319946f, - 0.006471714470536f, -0.080186225473881f, 0.006410357542336f, - -0.079807676374912f, - 0.006349290721118f, -0.079429075121880f, 0.006288514938205f, - -0.079050421714783f, - 0.006228029262275f, -0.078671731054783f, 0.006167833693326f, - -0.078292988240719f, - 0.006107929162681f, -0.077914200723171f, 0.006048315204680f, - -0.077535368502140f, - 0.005988991353661f, -0.077156484127045f, 0.005929958540946f, - -0.076777562499046f, - 0.005871216300875f, -0.076398596167564f, 0.005812764633447f, - -0.076019577682018f, - 0.005754603538662f, -0.075640521943569f, 0.005696733482182f, - -0.075261414051056f, - 0.005639153998345f, -0.074882268905640f, 0.005581865552813f, - -0.074503071606159f, - 0.005524867679924f, -0.074123837053776f, 0.005468160845339f, - -0.073744557797909f, - 0.005411745049059f, -0.073365233838558f, 0.005355620291084f, - -0.072985872626305f, - 0.005299786105752f, -0.072606459259987f, 0.005244242958724f, - -0.072227008640766f, - 0.005188991315663f, -0.071847513318062f, 0.005134030245245f, - -0.071467980742455f, - 0.005079360678792f, -0.071088403463364f, 0.005024982150644f, - -0.070708781480789f, - 0.004970894660801f, -0.070329122245312f, 0.004917098674923f, - -0.069949418306351f, - 0.004863593727350f, -0.069569669663906f, 0.004810380283743f, - -0.069189883768559f, - 0.004757457878441f, -0.068810060620308f, 0.004704826977104f, - -0.068430192768574f, - 0.004652487114072f, -0.068050287663937f, 0.004600439220667f, - -0.067670337855816f, - 0.004548682365566f, -0.067290350794792f, 0.004497217014432f, - -0.066910326480865f, - 0.004446043167263f, -0.066530264914036f, 0.004395160824060f, - -0.066150158643723f, - 0.004344569984823f, -0.065770015120506f, 0.004294271115214f, - -0.065389834344387f, - 0.004244263283908f, -0.065009608864784f, 0.004194547422230f, - -0.064629353582859f, - 0.004145123064518f, -0.064249053597450f, 0.004095990676433f, - -0.063868723809719f, - 0.004047149792314f, -0.063488349318504f, 0.003998600877821f, - -0.063107937574387f, - 0.003950343467295f, -0.062727488577366f, 0.003902378026396f, - -0.062347009778023f, - 0.003854704322293f, -0.061966486275196f, 0.003807322587818f, - -0.061585929244757f, - 0.003760232590139f, -0.061205338686705f, 0.003713434794918f, - -0.060824707150459f, - 0.003666928736493f, -0.060444042086601f, 0.003620714880526f, - -0.060063343495131f, - 0.003574792761356f, -0.059682607650757f, 0.003529162844643f, - -0.059301838278770f, - 0.003483824897557f, -0.058921031653881f, 0.003438779152930f, - -0.058540191501379f, - 0.003394025377929f, -0.058159314095974f, 0.003349563805386f, - -0.057778406888247f, - 0.003305394435301f, -0.057397462427616f, 0.003261517267674f, - -0.057016488164663f, - 0.003217932302505f, -0.056635476648808f, 0.003174639539793f, - -0.056254431605339f, - 0.003131638979539f, -0.055873356759548f, 0.003088930854574f, - -0.055492244660854f, - 0.003046514932066f, -0.055111102759838f, 0.003004391444847f, - -0.054729927331209f, - 0.002962560392916f, -0.054348722100258f, 0.002921021543443f, - -0.053967483341694f, - 0.002879775362089f, -0.053586211055517f, 0.002838821383193f, - -0.053204908967018f, - 0.002798160072416f, -0.052823577076197f, 0.002757790964097f, - -0.052442211657763f, - 0.002717714523897f, -0.052060816437006f, 0.002677930751815f, - -0.051679391413927f, - 0.002638439415023f, -0.051297932863235f, 0.002599240746349f, - -0.050916448235512f, - 0.002560334512964f, -0.050534930080175f, 0.002521721180528f, - -0.050153385847807f, - 0.002483400283381f, -0.049771808087826f, 0.002445372054353f, - -0.049390204250813f, - 0.002407636726275f, -0.049008570611477f, 0.002370193833485f, - -0.048626907169819f, - 0.002333043841645f, -0.048245213925838f, 0.002296186750755f, - -0.047863494604826f, - 0.002259622327983f, -0.047481749206781f, 0.002223350573331f, - -0.047099970281124f, - 0.002187371719629f, -0.046718169003725f, 0.002151685766876f, - -0.046336337924004f, - 0.002116292715073f, -0.045954477041960f, 0.002081192564219f, - -0.045572593808174f, - 0.002046385314316f, -0.045190680772066f, 0.002011870965362f, - -0.044808741658926f, - 0.001977649517357f, -0.044426776468754f, 0.001943721086718f, - -0.044044785201550f, - 0.001910085673444f, -0.043662767857313f, 0.001876743277535f, - -0.043280724436045f, - 0.001843693898991f, -0.042898654937744f, 0.001810937537812f, - -0.042516563087702f, - 0.001778474310413f, -0.042134445160627f, 0.001746304216795f, - -0.041752301156521f, - 0.001714427140541f, -0.041370131075382f, 0.001682843198068f, - -0.040987938642502f, - 0.001651552389376f, -0.040605723857880f, 0.001620554830879f, - -0.040223482996225f, - 0.001589850406162f, -0.039841219782829f, 0.001559439115226f, - -0.039458930492401f, - 0.001529321074486f, -0.039076622575521f, 0.001499496400356f, - -0.038694288581610f, - 0.001469964860007f, -0.038311932235956f, 0.001440726569854f, - -0.037929553538561f, - 0.001411781646311f, -0.037547148764133f, 0.001383129972965f, - -0.037164725363255f, - 0.001354771666229f, -0.036782283335924f, 0.001326706726104f, - -0.036399815231562f, - 0.001298935036175f, -0.036017324775457f, 0.001271456829272f, - -0.035634815692902f, - 0.001244271872565f, -0.035252287983894f, 0.001217380515300f, - -0.034869734197855f, - 0.001190782408230f, -0.034487165510654f, 0.001164477784187f, - -0.034104570746422f, - 0.001138466643170f, -0.033721961081028f, 0.001112748985179f, - -0.033339329063892f, - 0.001087324810214f, -0.032956674695015f, 0.001062194118276f, - -0.032574005424976f, - 0.001037356909364f, -0.032191313803196f, 0.001012813183479f, - -0.031808607280254f, - 0.000988563057035f, -0.031425878405571f, 0.000964606530033f, - -0.031043132767081f, - 0.000940943544265f, -0.030660368502140f, 0.000917574157938f, - -0.030277585610747f, - 0.000894498312846f, -0.029894785955548f, 0.000871716125403f, - -0.029511967673898f, - 0.000849227537401f, -0.029129132628441f, 0.000827032607049f, - -0.028746278956532f, - 0.000805131276138f, -0.028363410383463f, 0.000783523661084f, - -0.027980525046587f, - 0.000762209703680f, -0.027597622945905f, 0.000741189462133f, - -0.027214704081416f, - 0.000720462878235f, -0.026831768453121f, 0.000700030010194f, - -0.026448817923665f, - 0.000679890916217f, -0.026065852493048f, 0.000660045538098f, - -0.025682870298624f, - 0.000640493875835f, -0.025299875065684f, 0.000621235987637f, - -0.024916863068938f, - 0.000602271873504f, -0.024533838033676f, 0.000583601591643f, - -0.024150796234608f, - 0.000565225025639f, -0.023767741397023f, 0.000547142291907f, - -0.023384673520923f, - 0.000529353390448f, -0.023001590743661f, 0.000511858321261f, - -0.022618494927883f, - 0.000494657084346f, -0.022235386073589f, 0.000477749679703f, - -0.021852264180779f, - 0.000461136136437f, -0.021469129249454f, 0.000444816454547f, - -0.021085981279612f, - 0.000428790634032f, -0.020702820271254f, 0.000413058703998f, - -0.020319648087025f, - 0.000397620693548f, -0.019936462864280f, 0.000382476573577f, - -0.019553268328309f, - 0.000367626344087f, -0.019170060753822f, 0.000353070063284f, - -0.018786842003465f, - 0.000338807702065f, -0.018403612077236f, 0.000324839289533f, - -0.018020370975137f, - 0.000311164796585f, -0.017637118697166f, 0.000297784281429f, - -0.017253857105970f, - 0.000284697714960f, -0.016870586201549f, 0.000271905126283f, - -0.016487304121256f, - 0.000259406515397f, -0.016104012727737f, 0.000247201882303f, - -0.015720712020993f, - 0.000235291256104f, -0.015337402001023f, 0.000223674607696f, - -0.014954082667828f, - 0.000212351980736f, -0.014570754021406f, 0.000201323360670f, - -0.014187417924404f, - 0.000190588747500f, -0.013804072514176f, 0.000180148170330f, - -0.013420719653368f, - 0.000170001629158f, -0.013037359341979f, 0.000160149123985f, - -0.012653990648687f, - 0.000150590654812f, -0.012270614504814f, 0.000141326236189f, - -0.011887230910361f, - 0.000132355868118f, -0.011503840796649f, 0.000123679565149f, - -0.011120444163680f, - 0.000115297327284f, -0.010737040080130f, 0.000107209154521f, - -0.010353630408645f, - 0.000099415054137f, -0.009970214217901f, 0.000091915040684f, - -0.009586792439222f, - 0.000084709099610f, -0.009203365072608f, 0.000077797252743f, - -0.008819932118058f, - 0.000071179500083f, -0.008436493575573f, 0.000064855834353f, - -0.008053051307797f, - 0.000058826273744f, -0.007669602986425f, 0.000053090810979f, - -0.007286150939763f, - 0.000047649456974f, -0.006902694236487f, 0.000042502211727f, - -0.006519233807921f, - 0.000037649078877f, -0.006135769188404f, 0.000033090062061f, - -0.005752300843596f, - 0.000028825161280f, -0.005368829704821f, 0.000024854381991f, - -0.004985354840755f, - 0.000021177724193f, -0.004601877182722f, 0.000017795191525f, - -0.004218397196382f, - 0.000014706784896f, -0.003834914416075f, 0.000011912506125f, - -0.003451429307461f, - 0.000009412358850f, -0.003067942336202f, 0.000007206342616f, - -0.002684453502297f, - 0.000005294459243f, -0.002300963038579f, 0.000003676709639f, - -0.001917471294291f, - 0.000002353095169f, -0.001533978385851f, 0.000001323616516f, - -0.001150484546088f, - 0.000000588274133f, -0.000766990066040f, 0.000000147068562f, - -0.000383495149435f, - 0.000000000000000f, -0.000000000000023f, 0.000000147068562f, - 0.000383495149435f, - 0.000000588274133f, 0.000766990066040f, 0.000001323616516f, - 0.001150484546088f, - 0.000002353095169f, 0.001533978385851f, 0.000003676709639f, - 0.001917471294291f, - 0.000005294459243f, 0.002300963038579f, 0.000007206342616f, - 0.002684453502297f, - 0.000009412358850f, 0.003067942336202f, 0.000011912506125f, - 0.003451429307461f, - 0.000014706784896f, 0.003834914416075f, 0.000017795191525f, - 0.004218397196382f, - 0.000021177724193f, 0.004601877182722f, 0.000024854381991f, - 0.004985354840755f, - 0.000028825161280f, 0.005368829704821f, 0.000033090062061f, - 0.005752300843596f, - 0.000037649078877f, 0.006135769188404f, 0.000042502211727f, - 0.006519233807921f, - 0.000047649456974f, 0.006902694236487f, 0.000053090810979f, - 0.007286150939763f, - 0.000058826273744f, 0.007669602986425f, 0.000064855834353f, - 0.008053051307797f, - 0.000071179500083f, 0.008436493575573f, 0.000077797252743f, - 0.008819932118058f, - 0.000084709099610f, 0.009203365072608f, 0.000091915040684f, - 0.009586792439222f, - 0.000099415054137f, 0.009970214217901f, 0.000107209154521f, - 0.010353630408645f, - 0.000115297327284f, 0.010737040080130f, 0.000123679565149f, - 0.011120444163680f, - 0.000132355868118f, 0.011503840796649f, 0.000141326236189f, - 0.011887230910361f, - 0.000150590654812f, 0.012270614504814f, 0.000160149123985f, - 0.012653990648687f, - 0.000170001629158f, 0.013037359341979f, 0.000180148170330f, - 0.013420719653368f, - 0.000190588747500f, 0.013804072514176f, 0.000201323360670f, - 0.014187417924404f, - 0.000212351980736f, 0.014570754021406f, 0.000223674607696f, - 0.014954082667828f, - 0.000235291256104f, 0.015337402001023f, 0.000247201882303f, - 0.015720712020993f, - 0.000259406515397f, 0.016104012727737f, 0.000271905126283f, - 0.016487304121256f, - 0.000284697714960f, 0.016870586201549f, 0.000297784281429f, - 0.017253857105970f, - 0.000311164796585f, 0.017637118697166f, 0.000324839289533f, - 0.018020370975137f, - 0.000338807702065f, 0.018403612077236f, 0.000353070063284f, - 0.018786842003465f, - 0.000367626344087f, 0.019170060753822f, 0.000382476573577f, - 0.019553268328309f, - 0.000397620693548f, 0.019936462864280f, 0.000413058703998f, - 0.020319648087025f, - 0.000428790634032f, 0.020702820271254f, 0.000444816454547f, - 0.021085981279612f, - 0.000461136136437f, 0.021469129249454f, 0.000477749679703f, - 0.021852264180779f, - 0.000494657084346f, 0.022235386073589f, 0.000511858321261f, - 0.022618494927883f, - 0.000529353390448f, 0.023001590743661f, 0.000547142291907f, - 0.023384673520923f, - 0.000565225025639f, 0.023767741397023f, 0.000583601591643f, - 0.024150796234608f, - 0.000602271873504f, 0.024533838033676f, 0.000621235987637f, - 0.024916863068938f, - 0.000640493875835f, 0.025299875065684f, 0.000660045538098f, - 0.025682870298624f, - 0.000679890916217f, 0.026065852493048f, 0.000700030010194f, - 0.026448817923665f, - 0.000720462878235f, 0.026831768453121f, 0.000741189462133f, - 0.027214704081416f, - 0.000762209703680f, 0.027597622945905f, 0.000783523661084f, - 0.027980525046587f, - 0.000805131276138f, 0.028363410383463f, 0.000827032607049f, - 0.028746278956532f, - 0.000849227537401f, 0.029129132628441f, 0.000871716125403f, - 0.029511967673898f, - 0.000894498312846f, 0.029894785955548f, 0.000917574157938f, - 0.030277585610747f, - 0.000940943544265f, 0.030660368502140f, 0.000964606530033f, - 0.031043132767081f, - 0.000988563057035f, 0.031425878405571f, 0.001012813183479f, - 0.031808607280254f, - 0.001037356909364f, 0.032191313803196f, 0.001062194118276f, - 0.032574005424976f, - 0.001087324810214f, 0.032956674695015f, 0.001112748985179f, - 0.033339329063892f, - 0.001138466643170f, 0.033721961081028f, 0.001164477784187f, - 0.034104570746422f, - 0.001190782408230f, 0.034487165510654f, 0.001217380515300f, - 0.034869734197855f, - 0.001244271872565f, 0.035252287983894f, 0.001271456829272f, - 0.035634815692902f, - 0.001298935036175f, 0.036017324775457f, 0.001326706726104f, - 0.036399815231562f, - 0.001354771666229f, 0.036782283335924f, 0.001383129972965f, - 0.037164725363255f, - 0.001411781646311f, 0.037547148764133f, 0.001440726569854f, - 0.037929553538561f, - 0.001469964860007f, 0.038311932235956f, 0.001499496400356f, - 0.038694288581610f, - 0.001529321074486f, 0.039076622575521f, 0.001559439115226f, - 0.039458930492401f, - 0.001589850406162f, 0.039841219782829f, 0.001620554830879f, - 0.040223482996225f, - 0.001651552389376f, 0.040605723857880f, 0.001682843198068f, - 0.040987938642502f, - 0.001714427140541f, 0.041370131075382f, 0.001746304216795f, - 0.041752301156521f, - 0.001778474310413f, 0.042134445160627f, 0.001810937537812f, - 0.042516563087702f, - 0.001843693898991f, 0.042898654937744f, 0.001876743277535f, - 0.043280724436045f, - 0.001910085673444f, 0.043662767857313f, 0.001943721086718f, - 0.044044785201550f, - 0.001977649517357f, 0.044426776468754f, 0.002011870965362f, - 0.044808741658926f, - 0.002046385314316f, 0.045190680772066f, 0.002081192564219f, - 0.045572593808174f, - 0.002116292715073f, 0.045954477041960f, 0.002151685766876f, - 0.046336337924004f, - 0.002187371719629f, 0.046718169003725f, 0.002223350573331f, - 0.047099970281124f, - 0.002259622327983f, 0.047481749206781f, 0.002296186750755f, - 0.047863494604826f, - 0.002333043841645f, 0.048245213925838f, 0.002370193833485f, - 0.048626907169819f, - 0.002407636726275f, 0.049008570611477f, 0.002445372054353f, - 0.049390204250813f, - 0.002483400283381f, 0.049771808087826f, 0.002521721180528f, - 0.050153385847807f, - 0.002560334512964f, 0.050534930080175f, 0.002599240746349f, - 0.050916448235512f, - 0.002638439415023f, 0.051297932863235f, 0.002677930751815f, - 0.051679391413927f, - 0.002717714523897f, 0.052060816437006f, 0.002757790964097f, - 0.052442211657763f, - 0.002798160072416f, 0.052823577076197f, 0.002838821383193f, - 0.053204908967018f, - 0.002879775362089f, 0.053586211055517f, 0.002921021543443f, - 0.053967483341694f, - 0.002962560392916f, 0.054348722100258f, 0.003004391444847f, - 0.054729927331209f, - 0.003046514932066f, 0.055111102759838f, 0.003088930854574f, - 0.055492244660854f, - 0.003131638979539f, 0.055873356759548f, 0.003174639539793f, - 0.056254431605339f, - 0.003217932302505f, 0.056635476648808f, 0.003261517267674f, - 0.057016488164663f, - 0.003305394435301f, 0.057397462427616f, 0.003349563805386f, - 0.057778406888247f, - 0.003394025377929f, 0.058159314095974f, 0.003438779152930f, - 0.058540191501379f, - 0.003483824897557f, 0.058921031653881f, 0.003529162844643f, - 0.059301838278770f, - 0.003574792761356f, 0.059682607650757f, 0.003620714880526f, - 0.060063343495131f, - 0.003666928736493f, 0.060444042086601f, 0.003713434794918f, - 0.060824707150459f, - 0.003760232590139f, 0.061205338686705f, 0.003807322587818f, - 0.061585929244757f, - 0.003854704322293f, 0.061966486275196f, 0.003902378026396f, - 0.062347009778023f, - 0.003950343467295f, 0.062727488577366f, 0.003998600877821f, - 0.063107937574387f, - 0.004047149792314f, 0.063488349318504f, 0.004095990676433f, - 0.063868723809719f, - 0.004145123064518f, 0.064249053597450f, 0.004194547422230f, - 0.064629353582859f, - 0.004244263283908f, 0.065009608864784f, 0.004294271115214f, - 0.065389834344387f, - 0.004344569984823f, 0.065770015120506f, 0.004395160824060f, - 0.066150158643723f, - 0.004446043167263f, 0.066530264914036f, 0.004497217014432f, - 0.066910326480865f, - 0.004548682365566f, 0.067290350794792f, 0.004600439220667f, - 0.067670337855816f, - 0.004652487114072f, 0.068050287663937f, 0.004704826977104f, - 0.068430192768574f, - 0.004757457878441f, 0.068810060620308f, 0.004810380283743f, - 0.069189883768559f, - 0.004863593727350f, 0.069569669663906f, 0.004917098674923f, - 0.069949418306351f, - 0.004970894660801f, 0.070329122245312f, 0.005024982150644f, - 0.070708781480789f, - 0.005079360678792f, 0.071088403463364f, 0.005134030245245f, - 0.071467980742455f, - 0.005188991315663f, 0.071847513318062f, 0.005244242958724f, - 0.072227008640766f, - 0.005299786105752f, 0.072606459259987f, 0.005355620291084f, - 0.072985872626305f, - 0.005411745049059f, 0.073365233838558f, 0.005468160845339f, - 0.073744557797909f, - 0.005524867679924f, 0.074123837053776f, 0.005581865552813f, - 0.074503071606159f, - 0.005639153998345f, 0.074882268905640f, 0.005696733482182f, - 0.075261414051056f, - 0.005754603538662f, 0.075640521943569f, 0.005812764633447f, - 0.076019577682018f, - 0.005871216300875f, 0.076398596167564f, 0.005929958540946f, - 0.076777562499046f, - 0.005988991353661f, 0.077156484127045f, 0.006048315204680f, - 0.077535368502140f, - 0.006107929162681f, 0.077914200723171f, 0.006167833693326f, - 0.078292988240719f, - 0.006228029262275f, 0.078671731054783f, 0.006288514938205f, - 0.079050421714783f, - 0.006349290721118f, 0.079429075121880f, 0.006410357542336f, - 0.079807676374912f, - 0.006471714470536f, 0.080186225473881f, 0.006533361505717f, - 0.080564737319946f, - 0.006595299113542f, 0.080943197011948f, 0.006657526828349f, - 0.081321612000465f, - 0.006720044650137f, 0.081699974834919f, 0.006782853044569f, - 0.082078292965889f, - 0.006845951545984f, 0.082456558942795f, 0.006909339688718f, - 0.082834780216217f, - 0.006973018404096f, 0.083212949335575f, 0.007036986760795f, - 0.083591073751450f, - 0.007101245224476f, 0.083969146013260f, 0.007165793795139f, - 0.084347173571587f, - 0.007230632472783f, 0.084725148975849f, 0.007295760791749f, - 0.085103072226048f, - 0.007361178752035f, 0.085480943322182f, 0.007426886819303f, - 0.085858769714832f, - 0.007492884527892f, 0.086236543953419f, 0.007559171877801f, - 0.086614266037941f, - 0.007625748869032f, 0.086991935968399f, 0.007692615967244f, - 0.087369553744793f, - 0.007759772241116f, 0.087747126817703f, 0.007827218621969f, - 0.088124647736549f, - 0.007894953712821f, 0.088502109050751f, 0.007962978444993f, - 0.088879525661469f, - 0.008031292818487f, 0.089256882667542f, 0.008099896833301f, - 0.089634194970131f, - 0.008168790489435f, 0.090011447668076f, 0.008237972855568f, - 0.090388655662537f, - 0.008307444863021f, 0.090765804052353f, 0.008377205580473f, - 0.091142900288105f, - 0.008447255939245f, 0.091519944369793f, 0.008517595939338f, - 0.091896936297417f, - 0.008588224649429f, 0.092273868620396f, 0.008659142069519f, - 0.092650748789310f, - 0.008730349130929f, 0.093027576804161f, 0.008801844902337f, - 0.093404345214367f, - 0.008873629383743f, 0.093781061470509f, 0.008945702575147f, - 0.094157725572586f, - 0.009018065407872f, 0.094534330070019f, 0.009090716950595f, - 0.094910882413387f, - 0.009163657203317f, 0.095287375152111f, 0.009236886166036f, - 0.095663815736771f, - 0.009310402907431f, 0.096040196716785f, 0.009384209290147f, - 0.096416525542736f, - 0.009458304382861f, 0.096792794764042f, 0.009532688185573f, - 0.097169004380703f, - 0.009607359766960f, 0.097545161843300f, 0.009682320058346f, - 0.097921259701252f, - 0.009757569059730f, 0.098297297954559f, 0.009833106771111f, - 0.098673284053802f, - 0.009908932261169f, 0.099049203097820f, 0.009985045529902f, - 0.099425069987774f, - 0.010061448439956f, 0.099800877273083f, 0.010138138197362f, - 0.100176624953747f, - 0.010215117596090f, 0.100552320480347f, 0.010292383842170f, - 0.100927948951721f, - 0.010369938798249f, 0.101303517818451f, 0.010447781533003f, - 0.101679034531116f, - 0.010525912046432f, 0.102054484188557f, 0.010604331269860f, - 0.102429874241352f, - 0.010683037340641f, 0.102805204689503f, 0.010762032121420f, - 0.103180475533009f, - 0.010841314680874f, 0.103555686771870f, 0.010920885019004f, - 0.103930838406086f, - 0.011000742204487f, 0.104305922985077f, 0.011080888099968f, - 0.104680955410004f, - 0.011161320842803f, 0.105055920779705f, 0.011242041364312f, - 0.105430819094181f, - 0.011323049664497f, 0.105805665254593f, 0.011404345743358f, - 0.106180444359779f, - 0.011485928669572f, 0.106555156409740f, 0.011567799374461f, - 0.106929816305637f, - 0.011649956926703f, 0.107304409146309f, 0.011732402257621f, - 0.107678934931755f, - 0.011815134435892f, 0.108053401112556f, 0.011898153461516f, - 0.108427800238132f, - 0.011981460265815f, 0.108802139759064f, 0.012065053917468f, - 0.109176412224770f, - 0.012148935347795f, 0.109550617635250f, 0.012233102694154f, - 0.109924763441086f, - 0.012317557819188f, 0.110298842191696f, 0.012402298860252f, - 0.110672861337662f, - 0.012487327679992f, 0.111046813428402f, 0.012572642415762f, - 0.111420698463917f, - 0.012658244930208f, 0.111794516444206f, 0.012744133360684f, - 0.112168267369270f, - 0.012830308638513f, 0.112541958689690f, 0.012916770763695f, - 0.112915575504303f, - 0.013003518804908f, 0.113289132714272f, 0.013090553693473f, - 0.113662622869015f, - 0.013177875429392f, 0.114036038517952f, 0.013265483081341f, - 0.114409394562244f, - 0.013353376649320f, 0.114782683551311f, 0.013441557064652f, - 0.115155905485153f, - 0.013530024327338f, 0.115529052913189f, 0.013618776574731f, - 0.115902140736580f, - 0.013707815669477f, 0.116275154054165f, 0.013797140680254f, - 0.116648100316525f, - 0.013886751607060f, 0.117020979523659f, 0.013976648449898f, - 0.117393791675568f, - 0.014066831208766f, 0.117766529321671f, 0.014157299883664f, - 0.118139199912548f, - 0.014248054474592f, 0.118511803448200f, 0.014339094981551f, - 0.118884332478046f, - 0.014430420473218f, 0.119256794452667f, 0.014522032812238f, - 0.119629189372063f, - 0.014613929204643f, 0.120001509785652f, 0.014706112444401f, - 0.120373763144016f, - 0.014798580668867f, 0.120745941996574f, 0.014891333878040f, - 0.121118053793907f, - 0.014984373003244f, 0.121490091085434f, 0.015077698044479f, - 0.121862053871155f, - 0.015171307139099f, 0.122233949601650f, 0.015265202149749f, - 0.122605770826340f, - 0.015359382145107f, 0.122977524995804f, 0.015453847125173f, - 0.123349204659462f, - 0.015548598021269f, 0.123720809817314f, 0.015643632039428f, - 0.124092340469360f, - 0.015738952904940f, 0.124463804066181f, 0.015834558755159f, - 0.124835193157196f, - 0.015930447727442f, 0.125206500291824f, 0.016026621684432f, - 0.125577747821808f, - 0.016123080626130f, 0.125948905944824f, 0.016219824552536f, - 0.126320004463196f, - 0.016316853463650f, 0.126691013574600f, 0.016414167359471f, - 0.127061963081360f, - 0.016511764377356f, 0.127432823181152f, 0.016609646379948f, - 0.127803623676300f, - 0.016707813367248f, 0.128174334764481f, 0.016806263476610f, - 0.128544986248016f, - 0.016904998570681f, 0.128915548324585f, 0.017004016786814f, - 0.129286035895348f, - 0.017103319987655f, 0.129656463861465f, 0.017202908173203f, - 0.130026802420616f, - 0.017302779480815f, 0.130397051572800f, 0.017402933910489f, - 0.130767241120338f, - 0.017503373324871f, 0.131137356162071f, 0.017604095861316f, - 0.131507381796837f, - 0.017705103382468f, 0.131877332925797f, 0.017806394025683f, - 0.132247209548950f, - 0.017907967790961f, 0.132617011666298f, 0.018009826540947f, - 0.132986739277840f, - 0.018111966550350f, 0.133356377482414f, 0.018214391544461f, - 0.133725941181183f, - 0.018317099660635f, 0.134095430374146f, 0.018420090898871f, - 0.134464830160141f, - 0.018523367121816f, 0.134834155440331f, 0.018626924604177f, - 0.135203406214714f, - 0.018730765208602f, 0.135572582483292f, 0.018834890797734f, - 0.135941669344902f, - 0.018939297646284f, 0.136310681700706f, 0.019043987616897f, - 0.136679604649544f, - 0.019148962572217f, 0.137048453092575f, 0.019254218786955f, - 0.137417227029800f, - 0.019359756261110f, 0.137785911560059f, 0.019465578719974f, - 0.138154521584511f, - 0.019571684300900f, 0.138523042201996f, 0.019678071141243f, - 0.138891488313675f, - 0.019784741103649f, 0.139259845018387f, 0.019891692325473f, - 0.139628127217293f, - 0.019998926669359f, 0.139996320009232f, 0.020106444135308f, - 0.140364438295364f, - 0.020214242860675f, 0.140732467174530f, 0.020322324708104f, - 0.141100421547890f, - 0.020430689677596f, 0.141468286514282f, 0.020539334043860f, - 0.141836062073708f, - 0.020648263394833f, 0.142203763127327f, 0.020757472142577f, - 0.142571389675140f, - 0.020866964012384f, 0.142938911914825f, 0.020976737141609f, - 0.143306359648705f, - 0.021086793392897f, 0.143673732876778f, 0.021197130903602f, - 0.144041016697884f, - 0.021307749673724f, 0.144408211112022f, 0.021418649703264f, - 0.144775316119194f, - 0.021529832854867f, 0.145142331719399f, 0.021641295403242f, - 0.145509272813797f, - 0.021753041073680f, 0.145876124501228f, 0.021865066140890f, - 0.146242901682854f, - 0.021977374330163f, 0.146609574556351f, 0.022089963778853f, - 0.146976172924042f, - 0.022202832624316f, 0.147342681884766f, 0.022315984591842f, - 0.147709101438522f, - 0.022429415956140f, 0.148075446486473f, 0.022543128579855f, - 0.148441687226295f, - 0.022657122462988f, 0.148807853460312f, 0.022771397605538f, - 0.149173930287361f, - 0.022885952144861f, 0.149539917707443f, 0.023000787943602f, - 0.149905815720558f, - 0.023115905001760f, 0.150271624326706f, 0.023231301456690f, - 0.150637343525887f, - 0.023346979171038f, 0.151002973318100f, 0.023462938144803f, - 0.151368513703346f, - 0.023579176515341f, 0.151733979582787f, 0.023695694282651f, - 0.152099341154099f, - 0.023812493309379f, 0.152464613318443f, 0.023929571732879f, - 0.152829796075821f, - 0.024046931415796f, 0.153194904327393f, 0.024164570495486f, - 0.153559908270836f, - 0.024282488971949f, 0.153924822807312f, 0.024400688707829f, - 0.154289647936821f, - 0.024519165977836f, 0.154654383659363f, 0.024637924507260f, - 0.155019029974937f, - 0.024756962433457f, 0.155383571982384f, 0.024876279756427f, - 0.155748039484024f, - 0.024995878338814f, 0.156112402677536f, 0.025115754455328f, - 0.156476691365242f, - 0.025235909968615f, 0.156840875744820f, 0.025356344878674f, - 0.157204970717430f, - 0.025477059185505f, 0.157568961381912f, 0.025598052889109f, - 0.157932877540588f, - 0.025719324126840f, 0.158296689391136f, 0.025840876623988f, - 0.158660411834717f, - 0.025962706655264f, 0.159024044871330f, 0.026084816083312f, - 0.159387573599815f, - 0.026207204908133f, 0.159751012921333f, 0.026329871267080f, - 0.160114362835884f, - 0.026452817022800f, 0.160477623343468f, 0.026576040312648f, - 0.160840779542923f, - 0.026699542999268f, 0.161203846335411f, 0.026823325082660f, - 0.161566808819771f, - 0.026947384700179f, 0.161929681897163f, 0.027071721851826f, - 0.162292465567589f, - 0.027196336537600f, 0.162655144929886f, 0.027321230620146f, - 0.163017734885216f, - 0.027446404099464f, 0.163380220532417f, 0.027571853250265f, - 0.163742616772652f, - 0.027697581797838f, 0.164104923605919f, 0.027823587879539f, - 0.164467126131058f, - 0.027949871495366f, 0.164829224348068f, 0.028076432645321f, - 0.165191248059273f, - 0.028203271329403f, 0.165553152561188f, 0.028330387547612f, - 0.165914967656136f, - 0.028457781299949f, 0.166276678442955f, 0.028585452586412f, - 0.166638299822807f, - 0.028713401407003f, 0.166999831795692f, 0.028841627761722f, - 0.167361244559288f, - 0.028970129787922f, 0.167722567915916f, 0.029098909348249f, - 0.168083801865578f, - 0.029227968305349f, 0.168444931507111f, 0.029357301071286f, - 0.168805956840515f, - 0.029486913233995f, 0.169166877865791f, 0.029616801068187f, - 0.169527709484100f, - 0.029746964573860f, 0.169888436794281f, 0.029877405613661f, - 0.170249074697495f, - 0.030008124187589f, 0.170609608292580f, 0.030139118432999f, - 0.170970037579536f, - 0.030270388349891f, 0.171330362558365f, 0.030401935800910f, - 0.171690583229065f, - 0.030533758923411f, 0.172050714492798f, 0.030665857717395f, - 0.172410741448402f, - 0.030798232182860f, 0.172770664095879f, 0.030930884182453f, - 0.173130482435226f, - 0.031063811853528f, 0.173490211367607f, 0.031197015196085f, - 0.173849821090698f, - 0.031330492347479f, 0.174209341406822f, 0.031464248895645f, - 0.174568757414818f, - 0.031598277390003f, 0.174928069114685f, 0.031732585281134f, - 0.175287276506424f, - 0.031867165118456f, 0.175646379590034f, 0.032002024352551f, - 0.176005378365517f, - 0.032137155532837f, 0.176364272832870f, 0.032272562384605f, - 0.176723077893257f, - 0.032408244907856f, 0.177081763744354f, 0.032544203102589f, - 0.177440345287323f, - 0.032680433243513f, 0.177798837423325f, 0.032816942781210f, - 0.178157210350037f, - 0.032953724265099f, 0.178515478968620f, 0.033090781420469f, - 0.178873643279076f, - 0.033228114247322f, 0.179231703281403f, 0.033365719020367f, - 0.179589673876762f, - 0.033503599464893f, 0.179947525262833f, 0.033641755580902f, - 0.180305257439613f, - 0.033780183643103f, 0.180662900209427f, 0.033918887376785f, - 0.181020438671112f, - 0.034057866781950f, 0.181377857923508f, 0.034197118133307f, - 0.181735187768936f, - 0.034336645156145f, 0.182092398405075f, 0.034476444125175f, - 0.182449504733086f, - 0.034616518765688f, 0.182806491851807f, 0.034756865352392f, - 0.183163389563560f, - 0.034897487610579f, 0.183520168066025f, 0.035038381814957f, - 0.183876842260361f, - 0.035179551690817f, 0.184233412146568f, 0.035320993512869f, - 0.184589877724648f, - 0.035462711006403f, 0.184946224093437f, 0.035604696720839f, - 0.185302466154099f, - 0.035746958106756f, 0.185658603906631f, 0.035889495164156f, - 0.186014622449875f, - 0.036032304167747f, 0.186370536684990f, 0.036175385117531f, - 0.186726331710815f, - 0.036318738013506f, 0.187082037329674f, 0.036462362855673f, - 0.187437608838081f, - 0.036606263369322f, 0.187793090939522f, 0.036750435829163f, - 0.188148453831673f, - 0.036894880235195f, 0.188503712415695f, 0.037039596587420f, - 0.188858851790428f, - 0.037184584885836f, 0.189213871955872f, 0.037329845130444f, - 0.189568802714348f, - 0.037475381046534f, 0.189923599362373f, 0.037621185183525f, - 0.190278306603432f, - 0.037767261266708f, 0.190632879734039f, 0.037913613021374f, - 0.190987363457680f, - 0.038060232996941f, 0.191341713070869f, 0.038207128643990f, - 0.191695958375931f, - 0.038354292511940f, 0.192050099372864f, 0.038501728326082f, - 0.192404121160507f, - 0.038649436086416f, 0.192758023738861f, 0.038797415792942f, - 0.193111822009087f, - 0.038945667445660f, 0.193465501070023f, 0.039094187319279f, - 0.193819075822830f, - 0.039242979139090f, 0.194172516465187f, 0.039392042905092f, - 0.194525867700577f, - 0.039541378617287f, 0.194879084825516f, 0.039690986275673f, - 0.195232197642326f, - 0.039840862154961f, 0.195585191249847f, 0.039991009980440f, - 0.195938065648079f, - 0.040141426026821f, 0.196290835738182f, 0.040292114019394f, - 0.196643486618996f, - 0.040443073958158f, 0.196996018290520f, 0.040594302117825f, - 0.197348430752754f, - 0.040745802223682f, 0.197700738906860f, 0.040897574275732f, - 0.198052927851677f, - 0.041049610823393f, 0.198404997587204f, 0.041201923042536f, - 0.198756948113441f, - 0.041354499757290f, 0.199108779430389f, 0.041507352143526f, - 0.199460506439209f, - 0.041660469025373f, 0.199812099337578f, 0.041813857853413f, - 0.200163587927818f, - 0.041967518627644f, 0.200514942407608f, 0.042121443897486f, - 0.200866192579269f, - 0.042275641113520f, 0.201217323541641f, 0.042430106550455f, - 0.201568335294724f, - 0.042584843933582f, 0.201919227838516f, 0.042739849537611f, - 0.202270001173019f, - 0.042895123362541f, 0.202620655298233f, 0.043050665408373f, - 0.202971190214157f, - 0.043206475675106f, 0.203321605920792f, 0.043362557888031f, - 0.203671902418137f, - 0.043518904596567f, 0.204022079706192f, 0.043675523251295f, - 0.204372137784958f, - 0.043832406401634f, 0.204722076654434f, 0.043989561498165f, - 0.205071896314621f, - 0.044146984815598f, 0.205421581864357f, 0.044304672628641f, - 0.205771163105965f, - 0.044462632387877f, 0.206120610237122f, 0.044620860368013f, - 0.206469938158989f, - 0.044779352843761f, 0.206819161772728f, 0.044938117265701f, - 0.207168251276016f, - 0.045097146183252f, 0.207517206668854f, 0.045256443321705f, - 0.207866057753563f, - 0.045416008681059f, 0.208214774727821f, 0.045575842261314f, - 0.208563387393951f, - 0.045735940337181f, 0.208911851048470f, 0.045896306633949f, - 0.209260210394859f, - 0.046056941151619f, 0.209608450531960f, 0.046217843890190f, - 0.209956556558609f, - 0.046379011124372f, 0.210304543375969f, 0.046540446579456f, - 0.210652396082878f, - 0.046702146530151f, 0.211000129580498f, 0.046864114701748f, - 0.211347743868828f, - 0.047026351094246f, 0.211695238947868f, 0.047188851982355f, - 0.212042599916458f, - 0.047351621091366f, 0.212389841675758f, 0.047514654695988f, - 0.212736949324608f, - 0.047677956521511f, 0.213083937764168f, 0.047841522842646f, - 0.213430806994438f, - 0.048005353659391f, 0.213777542114258f, 0.048169452697039f, - 0.214124158024788f, - 0.048333816230297f, 0.214470639824867f, 0.048498444259167f, - 0.214817002415657f, - 0.048663340508938f, 0.215163245797157f, 0.048828501254320f, - 0.215509355068207f, - 0.048993926495314f, 0.215855330228806f, 0.049159619957209f, - 0.216201186180115f, - 0.049325577914715f, 0.216546908020973f, 0.049491796642542f, - 0.216892510652542f, - 0.049658283591270f, 0.217237979173660f, 0.049825038760900f, - 0.217583328485489f, - 0.049992054700851f, 0.217928543686867f, 0.050159335136414f, - 0.218273624777794f, - 0.050326880067587f, 0.218618586659431f, 0.050494693219662f, - 0.218963414430618f, - 0.050662767142057f, 0.219308122992516f, 0.050831105560064f, - 0.219652697443962f, - 0.050999708473682f, 0.219997137784958f, 0.051168579608202f, - 0.220341444015503f, - 0.051337707787752f, 0.220685631036758f, 0.051507104188204f, - 0.221029683947563f, - 0.051676765084267f, 0.221373617649078f, 0.051846686750650f, - 0.221717402338982f, - 0.052016876637936f, 0.222061067819595f, 0.052187327295542f, - 0.222404599189758f, - 0.052358038723469f, 0.222748011350632f, 0.052529018372297f, - 0.223091274499893f, - 0.052700258791447f, 0.223434418439865f, 0.052871759980917f, - 0.223777428269386f, - 0.053043525665998f, 0.224120303988457f, 0.053215555846691f, - 0.224463045597076f, - 0.053387850522995f, 0.224805667996407f, 0.053560405969620f, - 0.225148141384125f, - 0.053733222186565f, 0.225490495562553f, 0.053906302899122f, - 0.225832715630531f, - 0.054079644382000f, 0.226174786686897f, 0.054253250360489f, - 0.226516738533974f, - 0.054427117109299f, 0.226858556270599f, 0.054601248353720f, - 0.227200239896774f, - 0.054775636643171f, 0.227541789412498f, 0.054950293153524f, - 0.227883204817772f, - 0.055125206708908f, 0.228224486112595f, 0.055300384759903f, - 0.228565633296967f, - 0.055475823581219f, 0.228906646370888f, 0.055651523172855f, - 0.229247525334358f, - 0.055827483534813f, 0.229588270187378f, 0.056003704667091f, - 0.229928880929947f, - 0.056180190294981f, 0.230269357562065f, 0.056356932967901f, - 0.230609700083733f, - 0.056533940136433f, 0.230949893593788f, 0.056711208075285f, - 0.231289967894554f, - 0.056888736784458f, 0.231629893183708f, 0.057066522538662f, - 0.231969684362412f, - 0.057244572788477f, 0.232309341430664f, 0.057422880083323f, - 0.232648864388466f, - 0.057601451873779f, 0.232988253235817f, 0.057780280709267f, - 0.233327493071556f, - 0.057959370315075f, 0.233666598796844f, 0.058138720691204f, - 0.234005570411682f, - 0.058318331837654f, 0.234344407916069f, 0.058498200029135f, - 0.234683111310005f, - 0.058678328990936f, 0.235021665692329f, 0.058858718723059f, - 0.235360085964203f, - 0.059039369225502f, 0.235698372125626f, 0.059220276772976f, - 0.236036509275436f, - 0.059401445090771f, 0.236374512314796f, 0.059582870453596f, - 0.236712381243706f, - 0.059764556586742f, 0.237050101161003f, 0.059946499764919f, - 0.237387686967850f, - 0.060128703713417f, 0.237725138664246f, 0.060311164706945f, - 0.238062441349030f, - 0.060493886470795f, 0.238399609923363f, 0.060676865279675f, - 0.238736644387245f, - 0.060860104858875f, 0.239073529839516f, 0.061043601483107f, - 0.239410281181335f, - 0.061227355152369f, 0.239746883511543f, 0.061411365866661f, - 0.240083336830139f, - 0.061595637351274f, 0.240419670939446f, 0.061780165880919f, - 0.240755841135979f, - 0.061964951455593f, 0.241091892123222f, 0.062149997800589f, - 0.241427779197693f, - 0.062335297465324f, 0.241763532161713f, 0.062520854175091f, - 0.242099151015282f, - 0.062706671655178f, 0.242434620857239f, 0.062892749905586f, - 0.242769956588745f, - 0.063079081475735f, 0.243105143308640f, 0.063265666365623f, - 0.243440181016922f, - 0.063452512025833f, 0.243775084614754f, 0.063639611005783f, - 0.244109839200974f, - 0.063826970756054f, 0.244444444775581f, 0.064014583826065f, - 0.244778916239738f, - 0.064202457666397f, 0.245113238692284f, 0.064390584826469f, - 0.245447427034378f, - 0.064578965306282f, 0.245781451463699f, 0.064767606556416f, - 0.246115356683731f, - 0.064956501126289f, 0.246449097990990f, 0.065145656466484f, - 0.246782705187798f, - 0.065335065126419f, 0.247116148471832f, 0.065524727106094f, - 0.247449472546577f, - 0.065714649856091f, 0.247782632708550f, 0.065904818475246f, - 0.248115643858910f, - 0.066095255315304f, 0.248448520898819f, 0.066285938024521f, - 0.248781248927116f, - 0.066476874053478f, 0.249113827943802f, 0.066668070852757f, - 0.249446272850037f, - 0.066859520971775f, 0.249778553843498f, 0.067051224410534f, - 0.250110685825348f, - 0.067243188619614f, 0.250442683696747f, 0.067435398697853f, - 0.250774532556534f, - 0.067627869546413f, 0.251106232404709f, 0.067820593714714f, - 0.251437783241272f, - 0.068013571202755f, 0.251769185066223f, 0.068206802010536f, - 0.252100437879562f, - 0.068400286138058f, 0.252431541681290f, 0.068594031035900f, - 0.252762526273727f, - 0.068788021802902f, 0.253093332052231f, 0.068982265889645f, - 0.253423988819122f, - 0.069176770746708f, 0.253754496574402f, 0.069371521472931f, - 0.254084855318069f, - 0.069566532969475f, 0.254415065050125f, 0.069761790335178f, - 0.254745125770569f, - 0.069957308471203f, 0.255075037479401f, 0.070153072476387f, - 0.255404800176620f, - 0.070349089801311f, 0.255734413862228f, 0.070545360445976f, - 0.256063878536224f, - 0.070741884410381f, 0.256393194198608f, 0.070938661694527f, - 0.256722360849380f, - 0.071135692298412f, 0.257051378488541f, 0.071332976222038f, - 0.257380217313766f, - 0.071530513465405f, 0.257708936929703f, 0.071728296577930f, - 0.258037507534027f, - 0.071926333010197f, 0.258365899324417f, 0.072124622762203f, - 0.258694142103195f, - 0.072323165833950f, 0.259022265672684f, 0.072521962225437f, - 0.259350210428238f, - 0.072721004486084f, 0.259678006172180f, 0.072920300066471f, - 0.260005623102188f, - 0.073119848966599f, 0.260333120822906f, 0.073319651186466f, - 0.260660469532013f, - 0.073519699275494f, 0.260987639427185f, 0.073720000684261f, - 0.261314690113068f, - 0.073920547962189f, 0.261641561985016f, 0.074121348559856f, - 0.261968284845352f, - 0.074322402477264f, 0.262294828891754f, 0.074523709714413f, - 0.262621253728867f, - 0.074725262820721f, 0.262947499752045f, 0.074927061796188f, - 0.263273626565933f, - 0.075129114091396f, 0.263599574565887f, 0.075331419706345f, - 0.263925373554230f, - 0.075533971190453f, 0.264250993728638f, 0.075736775994301f, - 0.264576494693756f, - 0.075939826667309f, 0.264901816844940f, 0.076143130660057f, - 0.265226989984512f, - 0.076346680521965f, 0.265552014112473f, 0.076550483703613f, - 0.265876859426498f, - 0.076754532754421f, 0.266201555728912f, 0.076958827674389f, - 0.266526103019714f, - 0.077163375914097f, 0.266850501298904f, 0.077368170022964f, - 0.267174720764160f, - 0.077573217451572f, 0.267498821020126f, 0.077778510749340f, - 0.267822742462158f, - 0.077984049916267f, 0.268146485090256f, 0.078189842402935f, - 0.268470078706741f, - 0.078395880758762f, 0.268793523311615f, 0.078602164983749f, - 0.269116818904877f, - 0.078808702528477f, 0.269439965486526f, 0.079015478491783f, - 0.269762933254242f, - 0.079222507774830f, 0.270085722208023f, 0.079429790377617f, - 0.270408391952515f, - 0.079637311398983f, 0.270730882883072f, 0.079845085740089f, - 0.271053224802017f, - 0.080053105950356f, 0.271375387907028f, 0.080261372029781f, - 0.271697402000427f, - 0.080469883978367f, 0.272019267082214f, 0.080678641796112f, - 0.272340953350067f, - 0.080887645483017f, 0.272662490606308f, 0.081096902489662f, - 0.272983878850937f, - 0.081306397914886f, 0.273305088281631f, 0.081516146659851f, - 0.273626148700714f, - 0.081726133823395f, 0.273947030305862f, 0.081936374306679f, - 0.274267762899399f, - 0.082146860659122f, 0.274588316679001f, 0.082357585430145f, - 0.274908751249313f, - 0.082568563520908f, 0.275228977203369f, 0.082779780030251f, - 0.275549083948135f, - 0.082991249859333f, 0.275868982076645f, 0.083202958106995f, - 0.276188760995865f, - 0.083414919674397f, 0.276508361101151f, 0.083627119660378f, - 0.276827782392502f, - 0.083839565515518f, 0.277147054672241f, 0.084052257239819f, - 0.277466177940369f, - 0.084265194833279f, 0.277785122394562f, 0.084478378295898f, - 0.278103888034821f, - 0.084691800177097f, 0.278422504663467f, 0.084905467927456f, - 0.278740972280502f, - 0.085119381546974f, 0.279059261083603f, 0.085333541035652f, - 0.279377400875092f, - 0.085547938942909f, 0.279695361852646f, 0.085762590169907f, - 0.280013144016266f, - 0.085977479815483f, 0.280330777168274f, 0.086192607879639f, - 0.280648261308670f, - 0.086407989263535f, 0.280965566635132f, 0.086623609066010f, - 0.281282693147659f, - 0.086839467287064f, 0.281599670648575f, 0.087055571377277f, - 0.281916469335556f, - 0.087271921336651f, 0.282233119010925f, 0.087488517165184f, - 0.282549589872360f, - 0.087705351412296f, 0.282865911722183f, 0.087922424077988f, - 0.283182054758072f, - 0.088139742612839f, 0.283498018980026f, 0.088357307016850f, - 0.283813834190369f, - 0.088575109839439f, 0.284129470586777f, 0.088793158531189f, - 0.284444957971573f, - 0.089011445641518f, 0.284760266542435f, 0.089229971170425f, - 0.285075396299362f, - 0.089448742568493f, 0.285390377044678f, 0.089667752385139f, - 0.285705178976059f, - 0.089887008070946f, 0.286019802093506f, 0.090106502175331f, - 0.286334276199341f, - 0.090326242148876f, 0.286648571491241f, 0.090546220541000f, - 0.286962717771530f, - 0.090766437351704f, 0.287276685237885f, 0.090986892580986f, - 0.287590473890305f, - 0.091207593679428f, 0.287904083728790f, 0.091428533196449f, - 0.288217544555664f, - 0.091649711132050f, 0.288530826568604f, 0.091871134936810f, - 0.288843959569931f, - 0.092092797160149f, 0.289156883955002f, 0.092314697802067f, - 0.289469659328461f, - 0.092536836862564f, 0.289782285690308f, 0.092759214341640f, - 0.290094703435898f, - 0.092981837689877f, 0.290406972169876f, 0.093204692006111f, - 0.290719062089920f, - 0.093427792191505f, 0.291031002998352f, 0.093651130795479f, - 0.291342735290527f, - 0.093874707818031f, 0.291654318571091f, 0.094098523259163f, - 0.291965723037720f, - 0.094322577118874f, 0.292276978492737f, 0.094546869397163f, - 0.292588025331497f, - 0.094771400094032f, 0.292898923158646f, 0.094996169209480f, - 0.293209642171860f, - 0.095221176743507f, 0.293520182371140f, 0.095446422696114f, - 0.293830573558807f, - 0.095671907067299f, 0.294140785932541f, 0.095897629857063f, - 0.294450789690018f, - 0.096123591065407f, 0.294760644435883f, 0.096349790692329f, - 0.295070350170136f, - 0.096576221287251f, 0.295379847288132f, 0.096802897751331f, - 0.295689195394516f, - 0.097029805183411f, 0.295998334884644f, 0.097256951034069f, - 0.296307325363159f, - 0.097484335303307f, 0.296616137027740f, 0.097711957991123f, - 0.296924799680710f, - 0.097939811646938f, 0.297233253717422f, 0.098167903721333f, - 0.297541528940201f, - 0.098396234214306f, 0.297849655151367f, 0.098624803125858f, - 0.298157602548599f, - 0.098853603005409f, 0.298465341329575f, 0.099082641303539f, - 0.298772931098938f, - 0.099311910569668f, 0.299080342054367f, 0.099541425704956f, - 0.299387603998184f, - 0.099771171808243f, 0.299694657325745f, 0.100001148879528f, - 0.300001531839371f, - 0.100231364369392f, 0.300308227539063f, 0.100461818277836f, - 0.300614774227142f, - 0.100692503154278f, 0.300921112298965f, 0.100923426449299f, - 0.301227301359177f, - 0.101154580712318f, 0.301533311605453f, 0.101385973393917f, - 0.301839113235474f, - 0.101617597043514f, 0.302144765853882f, 0.101849451661110f, - 0.302450239658356f, - 0.102081544697285f, 0.302755534648895f, 0.102313876152039f, - 0.303060621023178f, - 0.102546438574791f, 0.303365558385849f, 0.102779231965542f, - 0.303670316934586f, - 0.103012263774872f, 0.303974896669388f, 0.103245526552200f, - 0.304279297590256f, - 0.103479020297527f, 0.304583519697189f, 0.103712752461433f, - 0.304887533187866f, - 0.103946708142757f, 0.305191397666931f, 0.104180909693241f, - 0.305495083332062f, - 0.104415334761143f, 0.305798590183258f, 0.104649998247623f, - 0.306101888418198f, - 0.104884892702103f, 0.306405037641525f, 0.105120018124580f, - 0.306708008050919f, - 0.105355374515057f, 0.307010769844055f, 0.105590961873531f, - 0.307313382625580f, - 0.105826787650585f, 0.307615786790848f, 0.106062836945057f, - 0.307918041944504f, - 0.106299124658108f, 0.308220088481903f, 0.106535643339157f, - 0.308521956205368f, - 0.106772392988205f, 0.308823645114899f, 0.107009373605251f, - 0.309125155210495f, - 0.107246585190296f, 0.309426486492157f, 0.107484027743340f, - 0.309727638959885f, - 0.107721701264381f, 0.310028612613678f, 0.107959605753422f, - 0.310329377651215f, - 0.108197741210461f, 0.310629993677139f, 0.108436107635498f, - 0.310930401086807f, - 0.108674705028534f, 0.311230629682541f, 0.108913525938988f, - 0.311530679464340f, - 0.109152585268021f, 0.311830550432205f, 0.109391868114471f, - 0.312130242586136f, - 0.109631389379501f, 0.312429755926132f, 0.109871134161949f, - 0.312729060649872f, - 0.110111102461815f, 0.313028186559677f, 0.110351309180260f, - 0.313327133655548f, - 0.110591746866703f, 0.313625901937485f, 0.110832408070564f, - 0.313924491405487f, - 0.111073300242424f, 0.314222872257233f, 0.111314415931702f, - 0.314521104097366f, - 0.111555770039558f, 0.314819127321243f, 0.111797347664833f, - 0.315116971731186f, - 0.112039148807526f, 0.315414607524872f, 0.112281180918217f, - 0.315712094306946f, - 0.112523443996906f, 0.316009372472763f, 0.112765938043594f, - 0.316306471824646f, - 0.113008655607700f, 0.316603392362595f, 0.113251596689224f, - 0.316900104284287f, - 0.113494776189327f, 0.317196637392044f, 0.113738171756268f, - 0.317492991685867f, - 0.113981798291206f, 0.317789167165756f, 0.114225655794144f, - 0.318085134029388f, - 0.114469736814499f, 0.318380922079086f, 0.114714048802853f, - 0.318676531314850f, - 0.114958584308624f, 0.318971961736679f, 0.115203343331814f, - 0.319267183542252f, - 0.115448333323002f, 0.319562226533890f, 0.115693546831608f, - 0.319857090711594f, - 0.115938983857632f, 0.320151746273041f, 0.116184651851654f, - 0.320446223020554f, - 0.116430543363094f, 0.320740520954132f, 0.116676658391953f, - 0.321034610271454f, - 0.116923004388809f, 0.321328520774841f, 0.117169573903084f, - 0.321622252464294f, - 0.117416366934776f, 0.321915775537491f, 0.117663383483887f, - 0.322209119796753f, - 0.117910631000996f, 0.322502255439758f, 0.118158094584942f, - 0.322795242071152f, - 0.118405789136887f, 0.323088020086288f, 0.118653707206249f, - 0.323380589485168f, - 0.118901848793030f, 0.323672980070114f, 0.119150213897228f, - 0.323965191841125f, - 0.119398809969425f, 0.324257194995880f, 0.119647622108459f, - 0.324549019336700f, - 0.119896657764912f, 0.324840664863586f, 0.120145916938782f, - 0.325132101774216f, - 0.120395407080650f, 0.325423330068588f, 0.120645113289356f, - 0.325714409351349f, - 0.120895043015480f, 0.326005280017853f, 0.121145196259022f, - 0.326295942068100f, - 0.121395580470562f, 0.326586425304413f, 0.121646173298359f, - 0.326876699924469f, - 0.121896997094154f, 0.327166795730591f, 0.122148044407368f, - 0.327456712722778f, - 0.122399315237999f, 0.327746421098709f, 0.122650802135468f, - 0.328035950660706f, - 0.122902512550354f, 0.328325271606445f, 0.123154446482658f, - 0.328614413738251f, - 0.123406603932381f, 0.328903347253799f, 0.123658977448940f, - 0.329192101955414f, - 0.123911574482918f, 0.329480648040771f, 0.124164395034313f, - 0.329769015312195f, - 0.124417431652546f, 0.330057173967361f, 0.124670691788197f, - 0.330345153808594f, - 0.124924175441265f, 0.330632925033569f, 0.125177875161171f, - 0.330920487642288f, - 0.125431805849075f, 0.331207901239395f, 0.125685945153236f, - 0.331495076417923f, - 0.125940307974815f, 0.331782072782516f, 0.126194894313812f, - 0.332068890333176f, - 0.126449704170227f, 0.332355499267578f, 0.126704722642899f, - 0.332641899585724f, - 0.126959964632988f, 0.332928121089935f, 0.127215430140495f, - 0.333214133977890f, - 0.127471104264259f, 0.333499968051910f, 0.127727001905441f, - 0.333785593509674f, - 0.127983123064041f, 0.334071010351181f, 0.128239467740059f, - 0.334356248378754f, - 0.128496021032333f, 0.334641307592392f, 0.128752797842026f, - 0.334926128387451f, - 0.129009798169136f, 0.335210770368576f, 0.129267007112503f, - 0.335495233535767f, - 0.129524439573288f, 0.335779488086700f, 0.129782080650330f, - 0.336063534021378f, - 0.130039945244789f, 0.336347371339798f, 0.130298033356667f, - 0.336631029844284f, - 0.130556344985962f, 0.336914509534836f, 0.130814850330353f, - 0.337197750806808f, - 0.131073594093323f, 0.337480813264847f, 0.131332546472549f, - 0.337763696908951f, - 0.131591722369194f, 0.338046342134476f, 0.131851106882095f, - 0.338328808546066f, - 0.132110700011253f, 0.338611096143723f, 0.132370531558990f, - 0.338893145322800f, - 0.132630556821823f, 0.339175015687943f, 0.132890805602074f, - 0.339456677436829f, - 0.133151277899742f, 0.339738160371780f, 0.133411958813667f, - 0.340019434690475f, - 0.133672863245010f, 0.340300500392914f, 0.133933976292610f, - 0.340581357479095f, - 0.134195312857628f, 0.340862035751343f, 0.134456858038902f, - 0.341142505407333f, - 0.134718611836433f, 0.341422766447067f, 0.134980589151382f, - 0.341702848672867f, - 0.135242775082588f, 0.341982692480087f, 0.135505184531212f, - 0.342262357473373f, - 0.135767802596092f, 0.342541843652725f, 0.136030644178391f, - 0.342821091413498f, - 0.136293679475784f, 0.343100160360336f, 0.136556953191757f, - 0.343379020690918f, - 0.136820420622826f, 0.343657672405243f, 0.137084111571312f, - 0.343936115503311f, - 0.137348011136055f, 0.344214379787445f, 0.137612134218216f, - 0.344492435455322f, - 0.137876465916634f, 0.344770282506943f, 0.138141006231308f, - 0.345047920942307f, - 0.138405755162239f, 0.345325350761414f, 0.138670727610588f, - 0.345602601766586f, - 0.138935908675194f, 0.345879614353180f, 0.139201298356056f, - 0.346156448125839f, - 0.139466896653175f, 0.346433073282242f, 0.139732718467712f, - 0.346709519624710f, - 0.139998748898506f, 0.346985727548599f, 0.140264987945557f, - 0.347261756658554f, - 0.140531435608864f, 0.347537547349930f, 0.140798106789589f, - 0.347813159227371f, - 0.141064971685410f, 0.348088562488556f, 0.141332060098648f, - 0.348363757133484f, - 0.141599357128143f, 0.348638743162155f, 0.141866862773895f, - 0.348913550376892f, - 0.142134591937065f, 0.349188119173050f, 0.142402514815331f, - 0.349462509155273f, - 0.142670661211014f, 0.349736660718918f, 0.142939001321793f, - 0.350010633468628f, - 0.143207564949989f, 0.350284397602081f, 0.143476337194443f, - 0.350557953119278f, - 0.143745318055153f, 0.350831300020218f, 0.144014507532120f, - 0.351104438304901f, - 0.144283905625343f, 0.351377367973328f, 0.144553512334824f, - 0.351650089025497f, - 0.144823327660561f, 0.351922631263733f, 0.145093351602554f, - 0.352194935083389f, - 0.145363584160805f, 0.352467030286789f, 0.145634025335312f, - 0.352738946676254f, - 0.145904675126076f, 0.353010624647141f, 0.146175548434258f, - 0.353282123804092f, - 0.146446615457535f, 0.353553384542465f, 0.146717891097069f, - 0.353824466466904f, - 0.146989375352860f, 0.354095309972763f, 0.147261068224907f, - 0.354365974664688f, - 0.147532954812050f, 0.354636400938034f, 0.147805064916611f, - 0.354906648397446f, - 0.148077383637428f, 0.355176687240601f, 0.148349896073341f, - 0.355446487665176f, - 0.148622632026672f, 0.355716109275818f, 0.148895561695099f, - 0.355985492467880f, - 0.149168699979782f, 0.356254696846008f, 0.149442046880722f, - 0.356523662805557f, - 0.149715602397919f, 0.356792420148849f, 0.149989366531372f, - 0.357060998678207f, - 0.150263324379921f, 0.357329338788986f, 0.150537505745888f, - 0.357597470283508f, - 0.150811880826950f, 0.357865422964096f, 0.151086464524269f, - 0.358133137226105f, - 0.151361241936684f, 0.358400642871857f, 0.151636242866516f, - 0.358667939901352f, - 0.151911437511444f, 0.358935028314590f, 0.152186840772629f, - 0.359201908111572f, - 0.152462437748909f, 0.359468549489975f, 0.152738258242607f, - 0.359735012054443f, - 0.153014272451401f, 0.360001266002655f, 0.153290495276451f, - 0.360267281532288f, - 0.153566911816597f, 0.360533088445663f, 0.153843536973000f, - 0.360798716545105f, - 0.154120370745659f, 0.361064106225967f, 0.154397398233414f, - 0.361329287290573f, - 0.154674649238586f, 0.361594229936600f, 0.154952079057693f, - 0.361858993768692f, - 0.155229732394218f, 0.362123548984528f, 0.155507579445839f, - 0.362387865781784f, - 0.155785620212555f, 0.362651973962784f, 0.156063869595528f, - 0.362915903329849f, - 0.156342327594757f, 0.363179564476013f, 0.156620979309082f, - 0.363443046808243f, - 0.156899839639664f, 0.363706320524216f, 0.157178908586502f, - 0.363969355821610f, - 0.157458171248436f, 0.364232182502747f, 0.157737627625465f, - 0.364494800567627f, - 0.158017292618752f, 0.364757210016251f, 0.158297166228294f, - 0.365019410848618f, - 0.158577233552933f, 0.365281373262405f, 0.158857494592667f, - 0.365543156862259f, - 0.159137964248657f, 0.365804702043533f, 0.159418627619743f, - 0.366066008806229f, - 0.159699499607086f, 0.366327136754990f, 0.159980565309525f, - 0.366588026285172f, - 0.160261839628220f, 0.366848707199097f, 0.160543307662010f, - 0.367109179496765f, - 0.160824984312058f, 0.367369443178177f, 0.161106839776039f, - 0.367629468441010f, - 0.161388918757439f, 0.367889285087585f, 0.161671176552773f, - 0.368148893117905f, - 0.161953642964363f, 0.368408292531967f, 0.162236317992210f, - 0.368667453527451f, - 0.162519171833992f, 0.368926405906677f, 0.162802234292030f, - 0.369185149669647f, - 0.163085505366325f, 0.369443655014038f, 0.163368955254555f, - 0.369701951742172f, - 0.163652613759041f, 0.369960039854050f, 0.163936465978622f, - 0.370217919349670f, - 0.164220526814461f, 0.370475560426712f, 0.164504766464233f, - 0.370732992887497f, - 0.164789214730263f, 0.370990216732025f, 0.165073871612549f, - 0.371247202157974f, - 0.165358707308769f, 0.371503978967667f, 0.165643751621246f, - 0.371760547161102f, - 0.165928974747658f, 0.372016876935959f, 0.166214406490326f, - 0.372272998094559f, - 0.166500031948090f, 0.372528880834579f, 0.166785866022110f, - 0.372784584760666f, - 0.167071878910065f, 0.373040050268173f, 0.167358100414276f, - 0.373295277357101f, - 0.167644515633583f, 0.373550295829773f, 0.167931124567986f, - 0.373805105686188f, - 0.168217927217484f, 0.374059677124023f, 0.168504923582077f, - 0.374314039945602f, - 0.168792113661766f, 0.374568194150925f, 0.169079497456551f, - 0.374822109937668f, - 0.169367074966431f, 0.375075817108154f, 0.169654861092567f, - 0.375329315662384f, - 0.169942826032639f, 0.375582575798035f, 0.170230999588966f, - 0.375835597515106f, - 0.170519351959229f, 0.376088410615921f, 0.170807912945747f, - 0.376341015100479f, - 0.171096652746201f, 0.376593410968781f, 0.171385586261749f, - 0.376845568418503f, - 0.171674728393555f, 0.377097487449646f, 0.171964049339294f, - 0.377349197864532f, - 0.172253578901291f, 0.377600699663162f, 0.172543287277222f, - 0.377851963043213f, - 0.172833189368248f, 0.378102988004684f, 0.173123285174370f, - 0.378353834152222f, - 0.173413574695587f, 0.378604412078857f, 0.173704057931900f, - 0.378854811191559f, - 0.173994734883308f, 0.379104942083359f, 0.174285605549812f, - 0.379354894161224f, - 0.174576655030251f, 0.379604607820511f, 0.174867913126946f, - 0.379854083061218f, - 0.175159350037575f, 0.380103349685669f, 0.175450980663300f, - 0.380352377891541f, - 0.175742805004120f, 0.380601197481155f, 0.176034808158875f, - 0.380849778652191f, - 0.176327019929886f, 0.381098151206970f, 0.176619410514832f, - 0.381346285343170f, - 0.176911994814873f, 0.381594210863113f, 0.177204772830009f, - 0.381841897964478f, - 0.177497729659081f, 0.382089376449585f, 0.177790880203247f, - 0.382336616516113f, - 0.178084224462509f, 0.382583618164063f, 0.178377762436867f, - 0.382830440998077f, - 0.178671479225159f, 0.383076995611191f, 0.178965389728546f, - 0.383323341608047f, - 0.179259493947029f, 0.383569449186325f, 0.179553776979446f, - 0.383815348148346f, - 0.179848253726959f, 0.384061008691788f, 0.180142924189568f, - 0.384306460618973f, - 0.180437773466110f, 0.384551674127579f, 0.180732816457748f, - 0.384796649217606f, - 0.181028053164482f, 0.385041415691376f, 0.181323468685150f, - 0.385285943746567f, - 0.181619063019753f, 0.385530263185501f, 0.181914865970612f, - 0.385774344205856f, - 0.182210832834244f, 0.386018186807632f, 0.182507008314133f, - 0.386261820793152f, - 0.182803362607956f, 0.386505216360092f, 0.183099895715714f, - 0.386748403310776f, - 0.183396622538567f, 0.386991351842880f, 0.183693528175354f, - 0.387234061956406f, - 0.183990627527237f, 0.387476563453674f, 0.184287920594215f, - 0.387718826532364f, - 0.184585392475128f, 0.387960851192474f, 0.184883043169975f, - 0.388202667236328f, - 0.185180887579918f, 0.388444244861603f, 0.185478910803795f, - 0.388685584068298f, - 0.185777112841606f, 0.388926714658737f, 0.186075508594513f, - 0.389167606830597f, - 0.186374098062515f, 0.389408260583878f, 0.186672851443291f, - 0.389648675918579f, - 0.186971798539162f, 0.389888882637024f, 0.187270939350128f, - 0.390128880739212f, - 0.187570258975029f, 0.390368610620499f, 0.187869757413864f, - 0.390608131885529f, - 0.188169434666634f, 0.390847414731979f, 0.188469305634499f, - 0.391086459159851f, - 0.188769355416298f, 0.391325294971466f, 0.189069598913193f, - 0.391563892364502f, - 0.189370006322861f, 0.391802251338959f, 0.189670607447624f, - 0.392040401697159f, - 0.189971387386322f, 0.392278283834457f, 0.190272361040115f, - 0.392515957355499f, - 0.190573498606682f, 0.392753422260284f, 0.190874829888344f, - 0.392990618944168f, - 0.191176339983940f, 0.393227607011795f, 0.191478043794632f, - 0.393464356660843f, - 0.191779911518097f, 0.393700867891312f, 0.192081972956657f, - 0.393937170505524f, - 0.192384198307991f, 0.394173204898834f, 0.192686617374420f, - 0.394409030675888f, - 0.192989215254784f, 0.394644618034363f, 0.193292006850243f, - 0.394879996776581f, - 0.193594962358475f, 0.395115107297897f, 0.193898096680641f, - 0.395350009202957f, - 0.194201424717903f, 0.395584672689438f, 0.194504916667938f, - 0.395819097757339f, - 0.194808602333069f, 0.396053284406662f, 0.195112451910973f, - 0.396287262439728f, - 0.195416495203972f, 0.396520972251892f, 0.195720717310905f, - 0.396754473447800f, - 0.196025103330612f, 0.396987736225128f, 0.196329683065414f, - 0.397220760583878f, - 0.196634441614151f, 0.397453576326370f, 0.196939364075661f, - 0.397686123847961f, - 0.197244480252266f, 0.397918462753296f, 0.197549775242805f, - 0.398150533437729f, - 0.197855234146118f, 0.398382395505905f, 0.198160871863365f, - 0.398614019155502f, - 0.198466703295708f, 0.398845434188843f, 0.198772698640823f, - 0.399076581001282f, - 0.199078872799873f, 0.399307489395142f, 0.199385225772858f, - 0.399538189172745f, - 0.199691757559776f, 0.399768620729446f, 0.199998468160629f, - 0.399998843669891f, - 0.200305357575417f, 0.400228828191757f, 0.200612410902977f, - 0.400458574295044f, - 0.200919643044472f, 0.400688081979752f, 0.201227053999901f, - 0.400917351245880f, - 0.201534643769264f, 0.401146411895752f, 0.201842412352562f, - 0.401375204324722f, - 0.202150344848633f, 0.401603758335114f, 0.202458456158638f, - 0.401832103729248f, - 0.202766746282578f, 0.402060180902481f, 0.203075215220451f, - 0.402288049459457f, - 0.203383848071098f, 0.402515679597855f, 0.203692659735680f, - 0.402743041515350f, - 0.204001650214195f, 0.402970194816589f, 0.204310819506645f, - 0.403197109699249f, - 0.204620152711868f, 0.403423786163330f, 0.204929664731026f, - 0.403650224208832f, - 0.205239340662956f, 0.403876423835754f, 0.205549195408821f, - 0.404102355241776f, - 0.205859228968620f, 0.404328078031540f, 0.206169426441193f, - 0.404553562402725f, - 0.206479802727699f, 0.404778808355331f, 0.206790357828140f, - 0.405003815889359f, - 0.207101076841354f, 0.405228585004807f, 0.207411959767342f, - 0.405453115701675f, - 0.207723021507263f, 0.405677437782288f, 0.208034262061119f, - 0.405901491641998f, - 0.208345666527748f, 0.406125307083130f, 0.208657249808311f, - 0.406348884105682f, - 0.208969011902809f, 0.406572192907333f, 0.209280923008919f, - 0.406795293092728f, - 0.209593027830124f, 0.407018154859543f, 0.209905281662941f, - 0.407240778207779f, - 0.210217714309692f, 0.407463163137436f, 0.210530325770378f, - 0.407685309648514f, - 0.210843101143837f, 0.407907217741013f, 0.211156040430069f, - 0.408128857612610f, - 0.211469158530235f, 0.408350288867950f, 0.211782455444336f, - 0.408571451902390f, - 0.212095901370049f, 0.408792406320572f, 0.212409526109695f, - 0.409013092517853f, - 0.212723329663277f, 0.409233570098877f, 0.213037282228470f, - 0.409453779459000f, - 0.213351413607597f, 0.409673750400543f, 0.213665723800659f, - 0.409893482923508f, - 0.213980183005333f, 0.410112977027893f, 0.214294821023941f, - 0.410332232713699f, - 0.214609622955322f, 0.410551249980927f, 0.214924603700638f, - 0.410770028829575f, - 0.215239733457565f, 0.410988569259644f, 0.215555042028427f, - 0.411206841468811f, - 0.215870529413223f, 0.411424905061722f, 0.216186165809631f, - 0.411642700433731f, - 0.216501981019974f, 0.411860257387161f, 0.216817945241928f, - 0.412077575922012f, - 0.217134088277817f, 0.412294656038284f, 0.217450410127640f, - 0.412511497735977f, - 0.217766880989075f, 0.412728071212769f, 0.218083515763283f, - 0.412944436073303f, - 0.218400329351425f, 0.413160532712936f, 0.218717306852341f, - 0.413376390933990f, - 0.219034433364868f, 0.413592010736465f, 0.219351738691330f, - 0.413807392120361f, - 0.219669207930565f, 0.414022535085678f, 0.219986841082573f, - 0.414237409830093f, - 0.220304638147354f, 0.414452046155930f, 0.220622614026070f, - 0.414666473865509f, - 0.220940738916397f, 0.414880603551865f, 0.221259027719498f, - 0.415094524621964f, - 0.221577480435371f, 0.415308207273483f, 0.221896097064018f, - 0.415521621704102f, - 0.222214877605438f, 0.415734797716141f, 0.222533836960793f, - 0.415947735309601f, - 0.222852945327759f, 0.416160434484482f, 0.223172217607498f, - 0.416372895240784f, - 0.223491653800011f, 0.416585087776184f, 0.223811239004135f, - 0.416797041893005f, - 0.224131003022194f, 0.417008757591248f, 0.224450930953026f, - 0.417220205068588f, - 0.224771007895470f, 0.417431443929672f, 0.225091263651848f, - 0.417642414569855f, - 0.225411668419838f, 0.417853146791458f, 0.225732237100601f, - 0.418063640594482f, - 0.226052969694138f, 0.418273866176605f, 0.226373866200447f, - 0.418483853340149f, - 0.226694911718369f, 0.418693602085114f, 0.227016136050224f, - 0.418903112411499f, - 0.227337509393692f, 0.419112354516983f, 0.227659046649933f, - 0.419321358203888f, - 0.227980732917786f, 0.419530123472214f, 0.228302597999573f, - 0.419738620519638f, - 0.228624612092972f, 0.419946908950806f, 0.228946775197983f, - 0.420154929161072f, - 0.229269117116928f, 0.420362681150436f, 0.229591608047485f, - 0.420570224523544f, - 0.229914262890816f, 0.420777499675751f, 0.230237081646919f, - 0.420984506607056f, - 0.230560049414635f, 0.421191304922104f, 0.230883181095123f, - 0.421397835016251f, - 0.231206461787224f, 0.421604126691818f, 0.231529906392097f, - 0.421810150146484f, - 0.231853514909744f, 0.422015935182571f, 0.232177272439003f, - 0.422221481800079f, - 0.232501193881035f, 0.422426789999008f, 0.232825264334679f, - 0.422631829977036f, - 0.233149498701096f, 0.422836631536484f, 0.233473882079124f, - 0.423041164875031f, - 0.233798429369926f, 0.423245459794998f, 0.234123140573502f, - 0.423449516296387f, - 0.234448000788689f, 0.423653304576874f, 0.234773010015488f, - 0.423856884241104f, - 0.235098183155060f, 0.424060165882111f, 0.235423520207405f, - 0.424263238906860f, - 0.235749006271362f, 0.424466013908386f, 0.236074641346931f, - 0.424668580293655f, - 0.236400425434113f, 0.424870878458023f, 0.236726388335228f, - 0.425072938203812f, - 0.237052485346794f, 0.425274729728699f, 0.237378746271133f, - 0.425476282835007f, - 0.237705156207085f, 0.425677597522736f, 0.238031730055809f, - 0.425878643989563f, - 0.238358452916145f, 0.426079452037811f, 0.238685324788094f, - 0.426279991865158f, - 0.239012360572815f, 0.426480293273926f, 0.239339530467987f, - 0.426680356264114f, - 0.239666879177094f, 0.426880151033401f, 0.239994361996651f, - 0.427079707384110f, - 0.240322008728981f, 0.427278995513916f, 0.240649804472923f, - 0.427478045225143f, - 0.240977749228477f, 0.427676826715469f, 0.241305842995644f, - 0.427875369787216f, - 0.241634100675583f, 0.428073674440384f, 0.241962507367134f, - 0.428271710872650f, - 0.242291063070297f, 0.428469479084015f, 0.242619767785072f, - 0.428667008876801f, - 0.242948621511459f, 0.428864300251007f, 0.243277639150620f, - 0.429061323404312f, - 0.243606805801392f, 0.429258108139038f, 0.243936106562614f, - 0.429454624652863f, - 0.244265571236610f, 0.429650902748108f, 0.244595184922218f, - 0.429846942424774f, - 0.244924947619438f, 0.430042684078217f, 0.245254859328270f, - 0.430238217115402f, - 0.245584934949875f, 0.430433481931686f, 0.245915144681931f, - 0.430628478527069f, - 0.246245503425598f, 0.430823236703873f, 0.246576011180878f, - 0.431017726659775f, - 0.246906682848930f, 0.431211978197098f, 0.247237488627434f, - 0.431405961513519f, - 0.247568443417549f, 0.431599706411362f, 0.247899547219276f, - 0.431793183088303f, - 0.248230814933777f, 0.431986421346664f, 0.248562216758728f, - 0.432179391384125f, - 0.248893767595291f, 0.432372123003006f, 0.249225467443466f, - 0.432564586400986f, - 0.249557301402092f, 0.432756811380386f, 0.249889299273491f, - 0.432948768138886f, - 0.250221431255341f, 0.433140486478806f, 0.250553727149963f, - 0.433331936597824f, - 0.250886172056198f, 0.433523118495941f, 0.251218736171722f, - 0.433714061975479f, - 0.251551479101181f, 0.433904737234116f, 0.251884341239929f, - 0.434095174074173f, - 0.252217382192612f, 0.434285342693329f, 0.252550542354584f, - 0.434475272893906f, - 0.252883851528168f, 0.434664934873581f, 0.253217309713364f, - 0.434854328632355f, - 0.253550916910172f, 0.435043483972549f, 0.253884643316269f, - 0.435232400894165f, - 0.254218548536301f, 0.435421019792557f, 0.254552572965622f, - 0.435609430074692f, - 0.254886746406555f, 0.435797542333603f, 0.255221068859100f, - 0.435985416173935f, - 0.255555540323257f, 0.436173021793365f, 0.255890160799026f, - 0.436360388994217f, - 0.256224930286407f, 0.436547487974167f, 0.256559818983078f, - 0.436734348535538f, - 0.256894856691360f, 0.436920911073685f, 0.257230043411255f, - 0.437107264995575f, - 0.257565379142761f, 0.437293320894241f, 0.257900834083557f, - 0.437479138374329f, - 0.258236467838287f, 0.437664687633514f, 0.258572220802307f, - 0.437849998474121f, - 0.258908122777939f, 0.438035041093826f, 0.259244143962860f, - 0.438219845294952f, - 0.259580343961716f, 0.438404351472855f, 0.259916663169861f, - 0.438588619232178f, - 0.260253131389618f, 0.438772648572922f, 0.260589718818665f, - 0.438956409692764f, - 0.260926485061646f, 0.439139902591705f, 0.261263370513916f, - 0.439323127269745f, - 0.261600375175476f, 0.439506113529205f, 0.261937558650970f, - 0.439688831567764f, - 0.262274861335754f, 0.439871311187744f, 0.262612313032150f, - 0.440053492784500f, - 0.262949883937836f, 0.440235435962677f, 0.263287603855133f, - 0.440417140722275f, - 0.263625472784042f, 0.440598547458649f, 0.263963490724564f, - 0.440779715776443f, - 0.264301627874374f, 0.440960645675659f, 0.264639914035797f, - 0.441141277551651f, - 0.264978319406509f, 0.441321671009064f, 0.265316903591156f, - 0.441501796245575f, - 0.265655577182770f, 0.441681683063507f, 0.265994429588318f, - 0.441861271858215f, - 0.266333401203156f, 0.442040622234344f, 0.266672492027283f, - 0.442219734191895f, - 0.267011761665344f, 0.442398548126221f, 0.267351150512695f, - 0.442577123641968f, - 0.267690658569336f, 0.442755430936813f, 0.268030315637589f, - 0.442933470010757f, - 0.268370121717453f, 0.443111270666122f, 0.268710047006607f, - 0.443288803100586f, - 0.269050091505051f, 0.443466067314148f, 0.269390314817429f, - 0.443643063306808f, - 0.269730657339096f, 0.443819820880890f, 0.270071119070053f, - 0.443996280431747f, - 0.270411729812622f, 0.444172531366348f, 0.270752459764481f, - 0.444348484277725f, - 0.271093338727951f, 0.444524168968201f, 0.271434366703033f, - 0.444699615240097f, - 0.271775513887405f, 0.444874793291092f, 0.272116780281067f, - 0.445049703121185f, - 0.272458195686340f, 0.445224374532700f, 0.272799760103226f, - 0.445398747920990f, - 0.273141443729401f, 0.445572882890701f, 0.273483246564865f, - 0.445746749639511f, - 0.273825198411942f, 0.445920348167419f, 0.274167299270630f, - 0.446093708276749f, - 0.274509519338608f, 0.446266770362854f, 0.274851858615875f, - 0.446439594030380f, - 0.275194346904755f, 0.446612149477005f, 0.275536954402924f, - 0.446784436702728f, - 0.275879681110382f, 0.446956485509872f, 0.276222556829453f, - 0.447128236293793f, - 0.276565581560135f, 0.447299748659134f, 0.276908725500107f, - 0.447470992803574f, - 0.277251988649368f, 0.447641968727112f, 0.277595400810242f, - 0.447812676429749f, - 0.277938932180405f, 0.447983115911484f, 0.278282582759857f, - 0.448153316974640f, - 0.278626382350922f, 0.448323249816895f, 0.278970301151276f, - 0.448492884635925f, - 0.279314368963242f, 0.448662281036377f, 0.279658555984497f, - 0.448831409215927f, - 0.280002862215042f, 0.449000298976898f, 0.280347317457199f, - 0.449168890714645f, - 0.280691891908646f, 0.449337244033813f, 0.281036585569382f, - 0.449505299329758f, - 0.281381398439407f, 0.449673116207123f, 0.281726360321045f, - 0.449840664863586f, - 0.282071471214294f, 0.450007945299149f, 0.282416671514511f, - 0.450174957513809f, - 0.282762020826340f, 0.450341701507568f, 0.283107489347458f, - 0.450508207082748f, - 0.283453077077866f, 0.450674414634705f, 0.283798813819885f, - 0.450840383768082f, - 0.284144669771194f, 0.451006084680557f, 0.284490644931793f, - 0.451171487569809f, - 0.284836769104004f, 0.451336652040482f, 0.285182982683182f, - 0.451501548290253f, - 0.285529345273972f, 0.451666176319122f, 0.285875827074051f, - 0.451830536127090f, - 0.286222457885742f, 0.451994657516479f, 0.286569178104401f, - 0.452158480882645f, - 0.286916047334671f, 0.452322036027908f, 0.287263035774231f, - 0.452485352754593f, - 0.287610173225403f, 0.452648371458054f, 0.287957400083542f, - 0.452811151742935f, - 0.288304775953293f, 0.452973634004593f, 0.288652241230011f, - 0.453135877847672f, - 0.288999855518341f, 0.453297853469849f, 0.289347589015961f, - 0.453459560871124f, - 0.289695471525192f, 0.453621000051498f, 0.290043443441391f, - 0.453782171010971f, - 0.290391564369202f, 0.453943043947220f, 0.290739774703979f, - 0.454103678464890f, - 0.291088134050369f, 0.454264044761658f, 0.291436612606049f, - 0.454424172639847f, - 0.291785210371017f, 0.454584002494812f, 0.292133957147598f, - 0.454743564128876f, - 0.292482793331146f, 0.454902857542038f, 0.292831748723984f, - 0.455061882734299f, - 0.293180853128433f, 0.455220639705658f, 0.293530046939850f, - 0.455379128456116f, - 0.293879389762878f, 0.455537378787994f, 0.294228851795197f, - 0.455695331096649f, - 0.294578403234482f, 0.455853015184402f, 0.294928103685379f, - 0.456010431051254f, - 0.295277923345566f, 0.456167578697205f, 0.295627862215042f, - 0.456324487924576f, - 0.295977920293808f, 0.456481099128723f, 0.296328097581863f, - 0.456637442111969f, - 0.296678394079208f, 0.456793516874313f, 0.297028809785843f, - 0.456949323415756f, - 0.297379344701767f, 0.457104891538620f, 0.297729998826981f, - 0.457260161638260f, - 0.298080772161484f, 0.457415163516998f, 0.298431664705276f, - 0.457569897174835f, - 0.298782676458359f, 0.457724362611771f, 0.299133807420731f, - 0.457878559827805f, - 0.299485057592392f, 0.458032488822937f, 0.299836426973343f, - 0.458186149597168f, - 0.300187885761261f, 0.458339542150497f, 0.300539493560791f, - 0.458492636680603f, - 0.300891220569611f, 0.458645492792130f, 0.301243066787720f, - 0.458798080682755f, - 0.301595002412796f, 0.458950400352478f, 0.301947087049484f, - 0.459102421998978f, - 0.302299261093140f, 0.459254205226898f, 0.302651554346085f, - 0.459405690431595f, - 0.303003966808319f, 0.459556937217712f, 0.303356528282166f, - 0.459707885980606f, - 0.303709149360657f, 0.459858566522598f, 0.304061919450760f, - 0.460008978843689f, - 0.304414808750153f, 0.460159152746201f, 0.304767817258835f, - 0.460309028625488f, - 0.305120915174484f, 0.460458606481552f, 0.305474132299423f, - 0.460607945919037f, - 0.305827468633652f, 0.460757017135620f, 0.306180924177170f, - 0.460905820131302f, - 0.306534498929977f, 0.461054325103760f, 0.306888192892075f, - 0.461202591657639f, - 0.307241976261139f, 0.461350560188293f, 0.307595878839493f, - 0.461498260498047f, - 0.307949900627136f, 0.461645722389221f, 0.308304041624069f, - 0.461792886257172f, - 0.308658272027969f, 0.461939752101898f, 0.309012651443481f, - 0.462086379528046f, - 0.309367120265961f, 0.462232738733292f, 0.309721708297729f, - 0.462378799915314f, - 0.310076385736465f, 0.462524622678757f, 0.310431212186813f, - 0.462670147418976f, - 0.310786128044128f, 0.462815403938293f, 0.311141163110733f, - 0.462960392236710f, - 0.311496287584305f, 0.463105112314224f, 0.311851561069489f, - 0.463249564170837f, - 0.312206923961639f, 0.463393747806549f, 0.312562376260757f, - 0.463537633419037f, - 0.312917977571487f, 0.463681250810623f, 0.313273668289185f, - 0.463824629783630f, - 0.313629478216171f, 0.463967710733414f, 0.313985377550125f, - 0.464110493659973f, - 0.314341396093369f, 0.464253038167953f, 0.314697533845901f, - 0.464395314455032f, - 0.315053790807724f, 0.464537292718887f, 0.315410137176514f, - 0.464679002761841f, - 0.315766572952271f, 0.464820444583893f, 0.316123157739639f, - 0.464961618185043f, - 0.316479831933975f, 0.465102523565292f, 0.316836595535278f, - 0.465243130922318f, - 0.317193508148193f, 0.465383470058441f, 0.317550510168076f, - 0.465523540973663f, - 0.317907601594925f, 0.465663343667984f, 0.318264812231064f, - 0.465802878141403f, - 0.318622142076492f, 0.465942144393921f, 0.318979561328888f, - 0.466081112623215f, - 0.319337099790573f, 0.466219812631607f, 0.319694727659225f, - 0.466358244419098f, - 0.320052474737167f, 0.466496407985687f, 0.320410341024399f, - 0.466634273529053f, - 0.320768296718597f, 0.466771900653839f, 0.321126341819763f, - 0.466909229755402f, - 0.321484506130219f, 0.467046260833740f, 0.321842789649963f, - 0.467183053493500f, - 0.322201162576675f, 0.467319577932358f, 0.322559654712677f, - 0.467455804347992f, - 0.322918236255646f, 0.467591762542725f, 0.323276937007904f, - 0.467727422714233f, - 0.323635727167130f, 0.467862844467163f, 0.323994606733322f, - 0.467997968196869f, - 0.324353635311127f, 0.468132823705673f, 0.324712723493576f, - 0.468267410993576f, - 0.325071930885315f, 0.468401730060577f, 0.325431257486343f, - 0.468535751104355f, - 0.325790673494339f, 0.468669503927231f, 0.326150178909302f, - 0.468802988529205f, - 0.326509803533554f, 0.468936175107956f, 0.326869517564774f, - 0.469069123268127f, - 0.327229350805283f, 0.469201773405075f, 0.327589273452759f, - 0.469334155321121f, - 0.327949285507202f, 0.469466239213943f, 0.328309416770935f, - 0.469598054885864f, - 0.328669637441635f, 0.469729602336884f, 0.329029977321625f, - 0.469860881567001f, - 0.329390406608582f, 0.469991862773895f, 0.329750925302505f, - 0.470122605562210f, - 0.330111563205719f, 0.470253020524979f, 0.330472290515900f, - 0.470383197069168f, - 0.330833107233047f, 0.470513075590134f, 0.331194043159485f, - 0.470642685890198f, - 0.331555068492889f, 0.470772027969360f, 0.331916213035584f, - 0.470901101827621f, - 0.332277417182922f, 0.471029877662659f, 0.332638740539551f, - 0.471158385276794f, - 0.333000183105469f, 0.471286594867706f, 0.333361685276031f, - 0.471414536237717f, - 0.333723306655884f, 0.471542209386826f, 0.334085017442703f, - 0.471669614315033f, - 0.334446847438812f, 0.471796721220016f, 0.334808766841888f, - 0.471923559904099f, - 0.335170775651932f, 0.472050130367279f, 0.335532873868942f, - 0.472176402807236f, - 0.335895091295242f, 0.472302407026291f, 0.336257368326187f, - 0.472428143024445f, - 0.336619764566422f, 0.472553610801697f, 0.336982280015945f, - 0.472678780555725f, - 0.337344855070114f, 0.472803652286530f, 0.337707549333572f, - 0.472928285598755f, - 0.338070303201675f, 0.473052620887756f, 0.338433176279068f, - 0.473176687955856f, - 0.338796168565750f, 0.473300457000732f, 0.339159220457077f, - 0.473423957824707f, - 0.339522391557693f, 0.473547190427780f, 0.339885622262955f, - 0.473670125007629f, - 0.340248972177505f, 0.473792791366577f, 0.340612411499023f, - 0.473915189504623f, - 0.340975970029831f, 0.474037289619446f, 0.341339588165283f, - 0.474159121513367f, - 0.341703325510025f, 0.474280685186386f, 0.342067122459412f, - 0.474401950836182f, - 0.342431038618088f, 0.474522948265076f, 0.342795044183731f, - 0.474643647670746f, - 0.343159139156342f, 0.474764078855515f, 0.343523323535919f, - 0.474884241819382f, - 0.343887597322464f, 0.475004136562347f, 0.344251960515976f, - 0.475123733282089f, - 0.344616413116455f, 0.475243031978607f, 0.344980984926224f, - 0.475362062454224f, - 0.345345616340637f, 0.475480824708939f, 0.345710366964340f, - 0.475599318742752f, - 0.346075177192688f, 0.475717514753342f, 0.346440106630325f, - 0.475835442543030f, - 0.346805095672607f, 0.475953072309494f, 0.347170203924179f, - 0.476070433855057f, - 0.347535371780396f, 0.476187497377396f, 0.347900658845901f, - 0.476304292678833f, - 0.348266035318375f, 0.476420819759369f, 0.348631471395493f, - 0.476537048816681f, - 0.348997026681900f, 0.476653009653091f, 0.349362671375275f, - 0.476768702268600f, - 0.349728375673294f, 0.476884096860886f, 0.350094199180603f, - 0.476999223232269f, - 0.350460082292557f, 0.477114051580429f, 0.350826084613800f, - 0.477228611707687f, - 0.351192146539688f, 0.477342873811722f, 0.351558297872543f, - 0.477456867694855f, - 0.351924568414688f, 0.477570593357086f, 0.352290898561478f, - 0.477684020996094f, - 0.352657318115234f, 0.477797180414200f, 0.353023827075958f, - 0.477910041809082f, - 0.353390425443649f, 0.478022634983063f, 0.353757113218308f, - 0.478134930133820f, - 0.354123860597610f, 0.478246957063675f, 0.354490727186203f, - 0.478358715772629f, - 0.354857653379440f, 0.478470176458359f, 0.355224698781967f, - 0.478581339120865f, - 0.355591803789139f, 0.478692263364792f, 0.355958998203278f, - 0.478802859783173f, - 0.356326282024384f, 0.478913217782974f, 0.356693625450134f, - 0.479023247957230f, - 0.357061088085175f, 0.479133039712906f, 0.357428610324860f, - 0.479242533445358f, - 0.357796221971512f, 0.479351729154587f, 0.358163923025131f, - 0.479460656642914f, - 0.358531713485718f, 0.479569315910339f, 0.358899593353271f, - 0.479677677154541f, - 0.359267532825470f, 0.479785770177841f, 0.359635561704636f, - 0.479893565177917f, - 0.360003679990768f, 0.480001062154770f, 0.360371887683868f, - 0.480108320713043f, - 0.360740154981613f, 0.480215251445770f, 0.361108511686325f, - 0.480321943759918f, - 0.361476957798004f, 0.480428308248520f, 0.361845493316650f, - 0.480534434318542f, - 0.362214088439941f, 0.480640232563019f, 0.362582772970200f, - 0.480745792388916f, - 0.362951546907425f, 0.480851024389267f, 0.363320380449295f, - 0.480956017971039f, - 0.363689333200455f, 0.481060713529587f, 0.364058345556259f, - 0.481165111064911f, - 0.364427417516708f, 0.481269240379334f, 0.364796578884125f, - 0.481373071670532f, - 0.365165829658508f, 0.481476634740829f, 0.365535169839859f, - 0.481579899787903f, - 0.365904569625854f, 0.481682896614075f, 0.366274058818817f, - 0.481785595417023f, - 0.366643607616425f, 0.481888025999069f, 0.367013275623322f, - 0.481990188360214f, - 0.367382973432541f, 0.482092022895813f, 0.367752790451050f, - 0.482193619012833f, - 0.368122667074203f, 0.482294887304306f, 0.368492603302002f, - 0.482395917177200f, - 0.368862658739090f, 0.482496619224548f, 0.369232743978500f, - 0.482597053050995f, - 0.369602948427200f, 0.482697218656540f, 0.369973212480545f, - 0.482797086238861f, - 0.370343536138535f, 0.482896685600281f, 0.370713949203491f, - 0.482995986938477f, - 0.371084451675415f, 0.483094990253448f, 0.371455013751984f, - 0.483193725347519f, - 0.371825665235519f, 0.483292192220688f, 0.372196376323700f, - 0.483390361070633f, - 0.372567176818848f, 0.483488231897354f, 0.372938036918640f, - 0.483585834503174f, - 0.373308986425400f, 0.483683139085770f, 0.373679995536804f, - 0.483780175447464f, - 0.374051094055176f, 0.483876913785934f, 0.374422252178192f, - 0.483973383903503f, - 0.374793499708176f, 0.484069555997849f, 0.375164806842804f, - 0.484165430068970f, - 0.375536203384399f, 0.484261035919189f, 0.375907659530640f, - 0.484356373548508f, - 0.376279205083847f, 0.484451413154602f, 0.376650810241699f, - 0.484546154737473f, - 0.377022475004196f, 0.484640628099442f, 0.377394229173660f, - 0.484734803438187f, - 0.377766042947769f, 0.484828680753708f, 0.378137946128845f, - 0.484922289848328f, - 0.378509908914566f, 0.485015630722046f, 0.378881961107254f, - 0.485108673572540f, - 0.379254043102264f, 0.485201418399811f, 0.379626244306564f, - 0.485293895006180f, - 0.379998475313187f, 0.485386073589325f, 0.380370795726776f, - 0.485477954149246f, - 0.380743205547333f, 0.485569566488266f, 0.381115674972534f, - 0.485660910606384f, - 0.381488204002380f, 0.485751956701279f, 0.381860792636871f, - 0.485842704772949f, - 0.382233470678329f, 0.485933154821396f, 0.382606208324432f, - 0.486023366451263f, - 0.382979035377502f, 0.486113250255585f, 0.383351892232895f, - 0.486202865839005f, - 0.383724838495255f, 0.486292183399200f, 0.384097874164581f, - 0.486381232738495f, - 0.384470939636230f, 0.486469984054565f, 0.384844094514847f, - 0.486558437347412f, - 0.385217308998108f, 0.486646622419357f, 0.385590612888336f, - 0.486734509468079f, - 0.385963946580887f, 0.486822128295898f, 0.386337369680405f, - 0.486909449100494f, - 0.386710882186890f, 0.486996471881866f, 0.387084424495697f, - 0.487083226442337f, - 0.387458056211472f, 0.487169682979584f, 0.387831717729568f, - 0.487255871295929f, - 0.388205498456955f, 0.487341761589050f, 0.388579308986664f, - 0.487427353858948f, - 0.388953179121017f, 0.487512677907944f, 0.389327138662338f, - 0.487597703933716f, - 0.389701157808304f, 0.487682431936264f, 0.390075236558914f, - 0.487766891717911f, - 0.390449374914169f, 0.487851053476334f, 0.390823602676392f, - 0.487934947013855f, - 0.391197860240936f, 0.488018542528152f, 0.391572207212448f, - 0.488101840019226f, - 0.391946613788605f, 0.488184869289398f, 0.392321079969406f, - 0.488267600536346f, - 0.392695605754852f, 0.488350033760071f, 0.393070191144943f, - 0.488432198762894f, - 0.393444836139679f, 0.488514065742493f, 0.393819570541382f, - 0.488595664501190f, - 0.394194334745407f, 0.488676935434341f, 0.394569188356400f, - 0.488757967948914f, - 0.394944071769714f, 0.488838672637939f, 0.395319044589996f, - 0.488919109106064f, - 0.395694077014923f, 0.488999247550964f, 0.396069169044495f, - 0.489079117774963f, - 0.396444320678711f, 0.489158689975739f, 0.396819531917572f, - 0.489237964153290f, - 0.397194802761078f, 0.489316970109940f, 0.397570133209229f, - 0.489395678043365f, - 0.397945523262024f, 0.489474087953568f, 0.398320972919464f, - 0.489552229642868f, - 0.398696482181549f, 0.489630073308945f, 0.399072051048279f, - 0.489707618951797f, - 0.399447679519653f, 0.489784896373749f, 0.399823367595673f, - 0.489861875772476f, - 0.400199115276337f, 0.489938557147980f, 0.400574922561646f, - 0.490014940500259f, - 0.400950789451599f, 0.490091055631638f, 0.401326715946198f, - 0.490166902542114f, - 0.401702702045441f, 0.490242421627045f, 0.402078747749329f, - 0.490317672491074f, - 0.402454853057861f, 0.490392625331879f, 0.402830988168716f, - 0.490467309951782f, - 0.403207212686539f, 0.490541696548462f, 0.403583467006683f, - 0.490615785121918f, - 0.403959810733795f, 0.490689605474472f, 0.404336184263229f, - 0.490763127803802f, - 0.404712617397308f, 0.490836352109909f, 0.405089110136032f, - 0.490909278392792f, - 0.405465662479401f, 0.490981936454773f, 0.405842274427414f, - 0.491054296493530f, - 0.406218945980072f, 0.491126358509064f, 0.406595647335052f, - 0.491198152303696f, - 0.406972438097000f, 0.491269648075104f, 0.407349258661270f, - 0.491340845823288f, - 0.407726138830185f, 0.491411775350571f, 0.408103078603745f, - 0.491482406854630f, - 0.408480048179626f, 0.491552740335464f, 0.408857107162476f, - 0.491622805595398f, - 0.409234195947647f, 0.491692543029785f, 0.409611344337463f, - 0.491762012243271f, - 0.409988552331924f, 0.491831213235855f, 0.410365819931030f, - 0.491900116205215f, - 0.410743117332459f, 0.491968721151352f, 0.411120474338531f, - 0.492037028074265f, - 0.411497890949249f, 0.492105036973953f, 0.411875367164612f, - 0.492172777652740f, - 0.412252873182297f, 0.492240220308304f, 0.412630438804626f, - 0.492307394742966f, - 0.413008064031601f, 0.492374241352081f, 0.413385748863220f, - 0.492440819740295f, - 0.413763463497162f, 0.492507129907608f, 0.414141237735748f, - 0.492573112249374f, - 0.414519041776657f, 0.492638826370239f, 0.414896935224533f, - 0.492704242467880f, - 0.415274858474731f, 0.492769360542297f, 0.415652841329575f, - 0.492834210395813f, - 0.416030853986740f, 0.492898762226105f, 0.416408926248550f, - 0.492963016033173f, - 0.416787058115005f, 0.493026971817017f, 0.417165219783783f, - 0.493090659379959f, - 0.417543441057205f, 0.493154048919678f, 0.417921721935272f, - 0.493217140436172f, - 0.418300032615662f, 0.493279963731766f, 0.418678402900696f, - 0.493342459201813f, - 0.419056802988052f, 0.493404686450958f, 0.419435262680054f, - 0.493466645479202f, - 0.419813781976700f, 0.493528276681900f, 0.420192331075668f, - 0.493589639663696f, - 0.420570939779282f, 0.493650704622269f, 0.420949578285217f, - 0.493711471557617f, - 0.421328276395798f, 0.493771970272064f, 0.421707004308701f, - 0.493832170963287f, - 0.422085791826248f, 0.493892073631287f, 0.422464638948441f, - 0.493951678276062f, - 0.422843515872955f, 0.494011014699936f, 0.423222452402115f, - 0.494070053100586f, - 0.423601418733597f, 0.494128793478012f, 0.423980414867401f, - 0.494187235832214f, - 0.424359470605850f, 0.494245409965515f, 0.424738585948944f, - 0.494303256273270f, - 0.425117731094360f, 0.494360834360123f, 0.425496935844421f, - 0.494418144226074f, - 0.425876170396805f, 0.494475126266479f, 0.426255434751511f, - 0.494531840085983f, - 0.426634758710861f, 0.494588255882263f, 0.427014142274857f, - 0.494644373655319f, - 0.427393525838852f, 0.494700223207474f, 0.427772998809814f, - 0.494755744934082f, - 0.428152471780777f, 0.494810998439789f, 0.428532034158707f, - 0.494865983724594f, - 0.428911596536636f, 0.494920641183853f, 0.429291218519211f, - 0.494975030422211f, - 0.429670870304108f, 0.495029091835022f, 0.430050581693649f, - 0.495082914829254f, - 0.430430322885513f, 0.495136409997940f, 0.430810123682022f, - 0.495189607143402f, - 0.431189924478531f, 0.495242536067963f, 0.431569814682007f, - 0.495295166969299f, - 0.431949704885483f, 0.495347499847412f, 0.432329654693604f, - 0.495399564504623f, - 0.432709634304047f, 0.495451331138611f, 0.433089673519135f, - 0.495502769947052f, - 0.433469742536545f, 0.495553970336914f, 0.433849841356277f, - 0.495604842901230f, - 0.434229999780655f, 0.495655417442322f, 0.434610158205032f, - 0.495705723762512f, - 0.434990376234055f, 0.495755732059479f, 0.435370653867722f, - 0.495805442333221f, - 0.435750931501389f, 0.495854884386063f, 0.436131268739700f, - 0.495903998613358f, - 0.436511665582657f, 0.495952844619751f, 0.436892062425613f, - 0.496001392602921f, - 0.437272518873215f, 0.496049642562866f, 0.437653005123138f, - 0.496097624301910f, - 0.438033521175385f, 0.496145308017731f, 0.438414067029953f, - 0.496192663908005f, - 0.438794672489166f, 0.496239781379700f, 0.439175277948380f, - 0.496286571025848f, - 0.439555943012238f, 0.496333062648773f, 0.439936667680740f, - 0.496379286050797f, - 0.440317392349243f, 0.496425211429596f, 0.440698176622391f, - 0.496470838785172f, - 0.441078960895538f, 0.496516168117523f, 0.441459804773331f, - 0.496561229228973f, - 0.441840678453445f, 0.496605962514877f, 0.442221581935883f, - 0.496650427579880f, - 0.442602545022964f, 0.496694594621658f, 0.442983508110046f, - 0.496738493442535f, - 0.443364530801773f, 0.496782064437866f, 0.443745553493500f, - 0.496825367212296f, - 0.444126635789871f, 0.496868371963501f, 0.444507747888565f, - 0.496911078691483f, - 0.444888889789581f, 0.496953487396240f, 0.445270061492920f, - 0.496995598077774f, - 0.445651292800903f, 0.497037440538406f, 0.446032524108887f, - 0.497078984975815f, - 0.446413785219193f, 0.497120231389999f, 0.446795076131821f, - 0.497161179780960f, - 0.447176426649094f, 0.497201830148697f, 0.447557777166367f, - 0.497242212295532f, - 0.447939187288284f, 0.497282296419144f, 0.448320597410202f, - 0.497322082519531f, - 0.448702067136765f, 0.497361570596695f, 0.449083566665649f, - 0.497400760650635f, - 0.449465066194534f, 0.497439652681351f, 0.449846625328064f, - 0.497478276491165f, - 0.450228184461594f, 0.497516602277756f, 0.450609803199768f, - 0.497554630041122f, - 0.450991421937943f, 0.497592359781265f, 0.451373100280762f, - 0.497629791498184f, - 0.451754778623581f, 0.497666954994202f, 0.452136516571045f, - 0.497703820466995f, - 0.452518254518509f, 0.497740387916565f, 0.452900022268295f, - 0.497776657342911f, - 0.453281819820404f, 0.497812628746033f, 0.453663676977158f, - 0.497848302125931f, - 0.454045534133911f, 0.497883707284927f, 0.454427421092987f, - 0.497918814420700f, - 0.454809308052063f, 0.497953623533249f, 0.455191254615784f, - 0.497988134622574f, - 0.455573230981827f, 0.498022347688675f, 0.455955207347870f, - 0.498056292533875f, - 0.456337243318558f, 0.498089909553528f, 0.456719279289246f, - 0.498123258352280f, - 0.457101345062256f, 0.498156309127808f, 0.457483440637589f, - 0.498189061880112f, - 0.457865566015244f, 0.498221516609192f, 0.458247691392899f, - 0.498253703117371f, - 0.458629876375198f, 0.498285561800003f, 0.459012061357498f, - 0.498317152261734f, - 0.459394276142120f, 0.498348444700241f, 0.459776520729065f, - 0.498379439115524f, - 0.460158795118332f, 0.498410135507584f, 0.460541069507599f, - 0.498440563678741f, - 0.460923373699188f, 0.498470664024353f, 0.461305707693100f, - 0.498500496149063f, - 0.461688071489334f, 0.498530030250549f, 0.462070435285568f, - 0.498559266328812f, - 0.462452858686447f, 0.498588204383850f, 0.462835282087326f, - 0.498616874217987f, - 0.463217705488205f, 0.498645216226578f, 0.463600188493729f, - 0.498673290014267f, - 0.463982671499252f, 0.498701065778732f, 0.464365184307098f, - 0.498728543519974f, - 0.464747726917267f, 0.498755723237991f, 0.465130269527435f, - 0.498782604932785f, - 0.465512841939926f, 0.498809218406677f, 0.465895414352417f, - 0.498835533857346f, - 0.466278046369553f, 0.498861521482468f, 0.466660678386688f, - 0.498887240886688f, - 0.467043310403824f, 0.498912662267685f, 0.467426002025604f, - 0.498937815427780f, - 0.467808693647385f, 0.498962640762329f, 0.468191385269165f, - 0.498987197875977f, - 0.468574106693268f, 0.499011427164078f, 0.468956857919693f, - 0.499035388231277f, - 0.469339638948441f, 0.499059051275253f, 0.469722419977188f, - 0.499082416296005f, - 0.470105201005936f, 0.499105513095856f, 0.470488041639328f, - 0.499128282070160f, - 0.470870882272720f, 0.499150782823563f, 0.471253722906113f, - 0.499172955751419f, - 0.471636593341827f, 0.499194860458374f, 0.472019463777542f, - 0.499216467142105f, - 0.472402364015579f, 0.499237775802612f, 0.472785294055939f, - 0.499258816242218f, - 0.473168224096298f, 0.499279528856277f, 0.473551183938980f, - 0.499299973249435f, - 0.473934143781662f, 0.499320119619370f, 0.474317133426666f, - 0.499339967966080f, - 0.474700123071671f, 0.499359518289566f, 0.475083142518997f, - 0.499378770589828f, - 0.475466161966324f, 0.499397724866867f, 0.475849211215973f, - 0.499416410923004f, - 0.476232260465622f, 0.499434769153595f, 0.476615339517593f, - 0.499452859163284f, - 0.476998418569565f, 0.499470651149750f, 0.477381497621536f, - 0.499488145112991f, - 0.477764606475830f, 0.499505341053009f, 0.478147745132446f, - 0.499522238969803f, - 0.478530883789063f, 0.499538868665695f, 0.478914022445679f, - 0.499555170536041f, - 0.479297190904617f, 0.499571204185486f, 0.479680359363556f, - 0.499586939811707f, - 0.480063527822495f, 0.499602377414703f, 0.480446726083755f, - 0.499617516994476f, - 0.480829954147339f, 0.499632388353348f, 0.481213152408600f, - 0.499646931886673f, - 0.481596380472183f, 0.499661177396774f, 0.481979638338089f, - 0.499675154685974f, - 0.482362866401672f, 0.499688833951950f, 0.482746154069901f, - 0.499702215194702f, - 0.483129411935806f, 0.499715298414230f, 0.483512699604034f, - 0.499728083610535f, - 0.483895987272263f, 0.499740600585938f, 0.484279274940491f, - 0.499752789735794f, - 0.484662592411041f, 0.499764710664749f, 0.485045909881592f, - 0.499776333570480f, - 0.485429257154465f, 0.499787658452988f, 0.485812574625015f, - 0.499798685312271f, - 0.486195921897888f, 0.499809414148331f, 0.486579269170761f, - 0.499819844961166f, - 0.486962646245956f, 0.499830007553101f, 0.487346023321152f, - 0.499839842319489f, - 0.487729400396347f, 0.499849408864975f, 0.488112777471542f, - 0.499858677387238f, - 0.488496154546738f, 0.499867647886276f, 0.488879561424255f, - 0.499876320362091f, - 0.489262968301773f, 0.499884694814682f, 0.489646375179291f, - 0.499892801046371f, - 0.490029782056808f, 0.499900579452515f, 0.490413218736649f, - 0.499908089637756f, - 0.490796625614166f, 0.499915301799774f, 0.491180062294006f, - 0.499922215938568f, - 0.491563498973846f, 0.499928832054138f, 0.491946935653687f, - 0.499935150146484f, - 0.492330402135849f, 0.499941170215607f, 0.492713838815689f, - 0.499946922063828f, - 0.493097305297852f, 0.499952346086502f, 0.493480771780014f, - 0.499957501888275f, - 0.493864238262177f, 0.499962359666824f, 0.494247704744339f, - 0.499966919422150f, - 0.494631171226501f, 0.499971181154251f, 0.495014637708664f, - 0.499975144863129f, - 0.495398133993149f, 0.499978810548782f, 0.495781600475311f, - 0.499982208013535f, - 0.496165096759796f, 0.499985307455063f, 0.496548563241959f, - 0.499988079071045f, - 0.496932059526443f, 0.499990582466125f, 0.497315555810928f, - 0.499992787837982f, - 0.497699022293091f, 0.499994695186615f, 0.498082518577576f, - 0.499996334314346f, - 0.498466014862061f, 0.499997645616531f, 0.498849511146545f, - 0.499998688697815f, - 0.499233007431030f, 0.499999403953552f, 0.499616503715515f, - 0.499999850988388f, -}; - - -/** -* \par -* Generation of realCoefB array: -* \par -* n = 4096 -* <pre>for (i = 0; i < n; i++) -* { -* pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i)); -* pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i)); -* } </pre> -* -*/ -static const float32_t realCoefB[8192] = { - 0.500000000000000f, 0.500000000000000f, 0.500383496284485f, - 0.499999850988388f, - 0.500766992568970f, 0.499999403953552f, 0.501150488853455f, - 0.499998688697815f, - 0.501533985137939f, 0.499997645616531f, 0.501917481422424f, - 0.499996334314346f, - 0.502300977706909f, 0.499994695186615f, 0.502684473991394f, - 0.499992787837982f, - 0.503067970275879f, 0.499990582466125f, 0.503451406955719f, - 0.499988079071045f, - 0.503834903240204f, 0.499985307455063f, 0.504218399524689f, - 0.499982208013535f, - 0.504601895809174f, 0.499978810548782f, 0.504985332489014f, - 0.499975144863129f, - 0.505368828773499f, 0.499971181154251f, 0.505752325057983f, - 0.499966919422150f, - 0.506135761737823f, 0.499962359666824f, 0.506519258022308f, - 0.499957501888275f, - 0.506902694702148f, 0.499952346086502f, 0.507286131381989f, - 0.499946922063828f, - 0.507669627666473f, 0.499941170215607f, 0.508053064346313f, - 0.499935150146484f, - 0.508436501026154f, 0.499928832054138f, 0.508819937705994f, - 0.499922215938568f, - 0.509203374385834f, 0.499915301799774f, 0.509586811065674f, - 0.499908089637756f, - 0.509970188140869f, 0.499900579452515f, 0.510353624820709f, - 0.499892801046371f, - 0.510737061500549f, 0.499884694814682f, 0.511120438575745f, - 0.499876320362091f, - 0.511503815650940f, 0.499867647886276f, 0.511887252330780f, - 0.499858677387238f, - 0.512270629405975f, 0.499849408864975f, 0.512654006481171f, - 0.499839842319489f, - 0.513037383556366f, 0.499830007553101f, 0.513420701026917f, - 0.499819844961166f, - 0.513804078102112f, 0.499809414148331f, 0.514187395572662f, - 0.499798685312271f, - 0.514570772647858f, 0.499787658452988f, 0.514954090118408f, - 0.499776333570480f, - 0.515337407588959f, 0.499764710664749f, 0.515720725059509f, - 0.499752789735794f, - 0.516103982925415f, 0.499740600585938f, 0.516487300395966f, - 0.499728083610535f, - 0.516870558261871f, 0.499715298414230f, 0.517253875732422f, - 0.499702215194702f, - 0.517637133598328f, 0.499688833951950f, 0.518020391464233f, - 0.499675154685974f, - 0.518403589725494f, 0.499661177396774f, 0.518786847591400f, - 0.499646931886673f, - 0.519170045852661f, 0.499632388353348f, 0.519553244113922f, - 0.499617516994476f, - 0.519936442375183f, 0.499602377414703f, 0.520319640636444f, - 0.499586939811707f, - 0.520702838897705f, 0.499571204185486f, 0.521085977554321f, - 0.499555170536041f, - 0.521469116210938f, 0.499538868665695f, 0.521852254867554f, - 0.499522238969803f, - 0.522235393524170f, 0.499505341053009f, 0.522618472576141f, - 0.499488145112991f, - 0.523001611232758f, 0.499470651149750f, 0.523384690284729f, - 0.499452859163284f, - 0.523767769336700f, 0.499434769153595f, 0.524150788784027f, - 0.499416410923004f, - 0.524533808231354f, 0.499397724866867f, 0.524916887283325f, - 0.499378770589828f, - 0.525299847126007f, 0.499359518289566f, 0.525682866573334f, - 0.499339967966080f, - 0.526065826416016f, 0.499320119619370f, 0.526448845863342f, - 0.499299973249435f, - 0.526831746101379f, 0.499279528856277f, 0.527214705944061f, - 0.499258816242218f, - 0.527597606182098f, 0.499237775802612f, 0.527980506420136f, - 0.499216467142105f, - 0.528363406658173f, 0.499194860458374f, 0.528746306896210f, - 0.499172955751419f, - 0.529129147529602f, 0.499150782823563f, 0.529511988162994f, - 0.499128282070160f, - 0.529894769191742f, 0.499105513095856f, 0.530277609825134f, - 0.499082416296005f, - 0.530660390853882f, 0.499059051275253f, 0.531043112277985f, - 0.499035388231277f, - 0.531425893306732f, 0.499011427164078f, 0.531808614730835f, - 0.498987197875977f, - 0.532191336154938f, 0.498962640762329f, 0.532573997974396f, - 0.498937815427780f, - 0.532956659793854f, 0.498912662267685f, 0.533339321613312f, - 0.498887240886688f, - 0.533721983432770f, 0.498861521482468f, 0.534104585647583f, - 0.498835533857346f, - 0.534487187862396f, 0.498809218406677f, 0.534869730472565f, - 0.498782604932785f, - 0.535252273082733f, 0.498755723237991f, 0.535634815692902f, - 0.498728543519974f, - 0.536017298698425f, 0.498701065778732f, 0.536399841308594f, - 0.498673290014267f, - 0.536782264709473f, 0.498645216226578f, 0.537164747714996f, - 0.498616874217987f, - 0.537547171115875f, 0.498588204383850f, 0.537929534912109f, - 0.498559266328812f, - 0.538311958312988f, 0.498530030250549f, 0.538694262504578f, - 0.498500496149063f, - 0.539076626300812f, 0.498470664024353f, 0.539458930492401f, - 0.498440563678741f, - 0.539841234683990f, 0.498410135507584f, 0.540223479270935f, - 0.498379439115524f, - 0.540605723857880f, 0.498348444700241f, 0.540987968444824f, - 0.498317152261734f, - 0.541370153427124f, 0.498285561800003f, 0.541752278804779f, - 0.498253703117371f, - 0.542134463787079f, 0.498221516609192f, 0.542516589164734f, - 0.498189061880112f, - 0.542898654937744f, 0.498156309127808f, 0.543280720710754f, - 0.498123258352280f, - 0.543662786483765f, 0.498089909553528f, 0.544044792652130f, - 0.498056292533875f, - 0.544426798820496f, 0.498022347688675f, 0.544808745384216f, - 0.497988134622574f, - 0.545190691947937f, 0.497953623533249f, 0.545572578907013f, - 0.497918814420700f, - 0.545954465866089f, 0.497883707284927f, 0.546336352825165f, - 0.497848302125931f, - 0.546718180179596f, 0.497812628746033f, 0.547099947929382f, - 0.497776657342911f, - 0.547481775283813f, 0.497740387916565f, 0.547863483428955f, - 0.497703820466995f, - 0.548245191574097f, 0.497666954994202f, 0.548626899719238f, - 0.497629791498184f, - 0.549008548259735f, 0.497592359781265f, 0.549390196800232f, - 0.497554630041122f, - 0.549771785736084f, 0.497516602277756f, 0.550153374671936f, - 0.497478276491165f, - 0.550534904003143f, 0.497439652681351f, 0.550916433334351f, - 0.497400760650635f, - 0.551297962665558f, 0.497361570596695f, 0.551679372787476f, - 0.497322082519531f, - 0.552060842514038f, 0.497282296419144f, 0.552442193031311f, - 0.497242212295532f, - 0.552823603153229f, 0.497201830148697f, 0.553204894065857f, - 0.497161179780960f, - 0.553586184978485f, 0.497120231389999f, 0.553967475891113f, - 0.497078984975815f, - 0.554348707199097f, 0.497037440538406f, 0.554729938507080f, - 0.496995598077774f, - 0.555111110210419f, 0.496953487396240f, 0.555492222309113f, - 0.496911078691483f, - 0.555873334407806f, 0.496868371963501f, 0.556254446506500f, - 0.496825367212296f, - 0.556635499000549f, 0.496782064437866f, 0.557016491889954f, - 0.496738493442535f, - 0.557397484779358f, 0.496694594621658f, 0.557778418064117f, - 0.496650427579880f, - 0.558159291744232f, 0.496605962514877f, 0.558540165424347f, - 0.496561229228973f, - 0.558921039104462f, 0.496516168117523f, 0.559301853179932f, - 0.496470838785172f, - 0.559682607650757f, 0.496425211429596f, 0.560063362121582f, - 0.496379286050797f, - 0.560444056987762f, 0.496333062648773f, 0.560824692249298f, - 0.496286571025848f, - 0.561205327510834f, 0.496239781379700f, 0.561585903167725f, - 0.496192663908005f, - 0.561966478824615f, 0.496145308017731f, 0.562346994876862f, - 0.496097624301910f, - 0.562727510929108f, 0.496049642562866f, 0.563107967376709f, - 0.496001392602921f, - 0.563488364219666f, 0.495952844619751f, 0.563868701457977f, - 0.495903998613358f, - 0.564249038696289f, 0.495854884386063f, 0.564629375934601f, - 0.495805442333221f, - 0.565009593963623f, 0.495755732059479f, 0.565389811992645f, - 0.495705723762512f, - 0.565770030021667f, 0.495655417442322f, 0.566150128841400f, - 0.495604842901230f, - 0.566530287265778f, 0.495553970336914f, 0.566910326480865f, - 0.495502769947052f, - 0.567290365695953f, 0.495451331138611f, 0.567670345306396f, - 0.495399564504623f, - 0.568050265312195f, 0.495347499847412f, 0.568430185317993f, - 0.495295166969299f, - 0.568810045719147f, 0.495242536067963f, 0.569189906120300f, - 0.495189607143402f, - 0.569569647312164f, 0.495136409997940f, 0.569949388504028f, - 0.495082914829254f, - 0.570329129695892f, 0.495029091835022f, 0.570708811283112f, - 0.494975030422211f, - 0.571088373661041f, 0.494920641183853f, 0.571467995643616f, - 0.494865983724594f, - 0.571847498416901f, 0.494810998439789f, 0.572227001190186f, - 0.494755744934082f, - 0.572606444358826f, 0.494700223207474f, 0.572985887527466f, - 0.494644373655319f, - 0.573365211486816f, 0.494588255882263f, 0.573744535446167f, - 0.494531840085983f, - 0.574123859405518f, 0.494475126266479f, 0.574503064155579f, - 0.494418144226074f, - 0.574882268905640f, 0.494360834360123f, 0.575261414051056f, - 0.494303256273270f, - 0.575640499591827f, 0.494245409965515f, 0.576019585132599f, - 0.494187235832214f, - 0.576398611068726f, 0.494128793478012f, 0.576777577400208f, - 0.494070053100586f, - 0.577156484127045f, 0.494011014699936f, 0.577535390853882f, - 0.493951678276062f, - 0.577914178371429f, 0.493892073631287f, 0.578292965888977f, - 0.493832170963287f, - 0.578671753406525f, 0.493771970272064f, 0.579050421714783f, - 0.493711471557617f, - 0.579429090023041f, 0.493650704622269f, 0.579807698726654f, - 0.493589639663696f, - 0.580186247825623f, 0.493528276681900f, 0.580564737319946f, - 0.493466645479202f, - 0.580943167209625f, 0.493404686450958f, 0.581321597099304f, - 0.493342459201813f, - 0.581699967384338f, 0.493279963731766f, 0.582078278064728f, - 0.493217140436172f, - 0.582456588745117f, 0.493154048919678f, 0.582834780216217f, - 0.493090659379959f, - 0.583212971687317f, 0.493026971817017f, 0.583591103553772f, - 0.492963016033173f, - 0.583969175815582f, 0.492898762226105f, 0.584347188472748f, - 0.492834210395813f, - 0.584725141525269f, 0.492769360542297f, 0.585103094577789f, - 0.492704242467880f, - 0.585480928421021f, 0.492638826370239f, 0.585858762264252f, - 0.492573112249374f, - 0.586236536502838f, 0.492507129907608f, 0.586614251136780f, - 0.492440819740295f, - 0.586991965770721f, 0.492374241352081f, 0.587369561195374f, - 0.492307394742966f, - 0.587747097015381f, 0.492240220308304f, 0.588124632835388f, - 0.492172777652740f, - 0.588502109050751f, 0.492105036973953f, 0.588879525661469f, - 0.492037028074265f, - 0.589256882667542f, 0.491968721151352f, 0.589634180068970f, - 0.491900116205215f, - 0.590011477470398f, 0.491831213235855f, 0.590388655662537f, - 0.491762012243271f, - 0.590765833854675f, 0.491692543029785f, 0.591142892837524f, - 0.491622805595398f, - 0.591519951820374f, 0.491552740335464f, 0.591896951198578f, - 0.491482406854630f, - 0.592273890972137f, 0.491411775350571f, 0.592650771141052f, - 0.491340845823288f, - 0.593027591705322f, 0.491269648075104f, 0.593404352664948f, - 0.491198152303696f, - 0.593781054019928f, 0.491126358509064f, 0.594157755374908f, - 0.491054296493530f, - 0.594534337520599f, 0.490981936454773f, 0.594910860061646f, - 0.490909278392792f, - 0.595287382602692f, 0.490836352109909f, 0.595663845539093f, - 0.490763127803802f, - 0.596040189266205f, 0.490689605474472f, 0.596416532993317f, - 0.490615785121918f, - 0.596792817115784f, 0.490541696548462f, 0.597168982028961f, - 0.490467309951782f, - 0.597545146942139f, 0.490392625331879f, 0.597921252250671f, - 0.490317672491074f, - 0.598297297954559f, 0.490242421627045f, 0.598673284053802f, - 0.490166902542114f, - 0.599049210548401f, 0.490091055631638f, 0.599425077438354f, - 0.490014940500259f, - 0.599800884723663f, 0.489938557147980f, 0.600176632404327f, - 0.489861875772476f, - 0.600552320480347f, 0.489784896373749f, 0.600927948951721f, - 0.489707618951797f, - 0.601303517818451f, 0.489630073308945f, 0.601679027080536f, - 0.489552229642868f, - 0.602054476737976f, 0.489474087953568f, 0.602429866790771f, - 0.489395678043365f, - 0.602805197238922f, 0.489316970109940f, 0.603180468082428f, - 0.489237964153290f, - 0.603555679321289f, 0.489158689975739f, 0.603930830955505f, - 0.489079117774963f, - 0.604305922985077f, 0.488999247550964f, 0.604680955410004f, - 0.488919109106064f, - 0.605055928230286f, 0.488838672637939f, 0.605430841445923f, - 0.488757967948914f, - 0.605805635452271f, 0.488676935434341f, 0.606180429458618f, - 0.488595664501190f, - 0.606555163860321f, 0.488514065742493f, 0.606929838657379f, - 0.488432198762894f, - 0.607304394245148f, 0.488350033760071f, 0.607678949832916f, - 0.488267600536346f, - 0.608053386211395f, 0.488184869289398f, 0.608427822589874f, - 0.488101840019226f, - 0.608802139759064f, 0.488018542528152f, 0.609176397323608f, - 0.487934947013855f, - 0.609550595283508f, 0.487851053476334f, 0.609924793243408f, - 0.487766891717911f, - 0.610298871994019f, 0.487682431936264f, 0.610672831535339f, - 0.487597703933716f, - 0.611046791076660f, 0.487512677907944f, 0.611420691013336f, - 0.487427353858948f, - 0.611794531345367f, 0.487341761589050f, 0.612168252468109f, - 0.487255871295929f, - 0.612541973590851f, 0.487169682979584f, 0.612915575504303f, - 0.487083226442337f, - 0.613289117813110f, 0.486996471881866f, 0.613662600517273f, - 0.486909449100494f, - 0.614036023616791f, 0.486822128295898f, 0.614409387111664f, - 0.486734509468079f, - 0.614782691001892f, 0.486646622419357f, 0.615155875682831f, - 0.486558437347412f, - 0.615529060363770f, 0.486469984054565f, 0.615902125835419f, - 0.486381232738495f, - 0.616275131702423f, 0.486292183399200f, 0.616648077964783f, - 0.486202865839005f, - 0.617020964622498f, 0.486113250255585f, 0.617393791675568f, - 0.486023366451263f, - 0.617766559123993f, 0.485933154821396f, 0.618139207363129f, - 0.485842704772949f, - 0.618511795997620f, 0.485751956701279f, 0.618884325027466f, - 0.485660910606384f, - 0.619256794452667f, 0.485569566488266f, 0.619629204273224f, - 0.485477954149246f, - 0.620001494884491f, 0.485386073589325f, 0.620373785495758f, - 0.485293895006180f, - 0.620745956897736f, 0.485201418399811f, 0.621118068695068f, - 0.485108673572540f, - 0.621490061283112f, 0.485015630722046f, 0.621862053871155f, - 0.484922289848328f, - 0.622233927249908f, 0.484828680753708f, 0.622605800628662f, - 0.484734803438187f, - 0.622977554798126f, 0.484640628099442f, 0.623349189758301f, - 0.484546154737473f, - 0.623720824718475f, 0.484451413154602f, 0.624092340469360f, - 0.484356373548508f, - 0.624463796615601f, 0.484261035919189f, 0.624835193157196f, - 0.484165430068970f, - 0.625206530094147f, 0.484069555997849f, 0.625577747821808f, - 0.483973383903503f, - 0.625948905944824f, 0.483876913785934f, 0.626320004463196f, - 0.483780175447464f, - 0.626691043376923f, 0.483683139085770f, 0.627061963081360f, - 0.483585834503174f, - 0.627432823181152f, 0.483488231897354f, 0.627803623676300f, - 0.483390361070633f, - 0.628174364566803f, 0.483292192220688f, 0.628544986248016f, - 0.483193725347519f, - 0.628915548324585f, 0.483094990253448f, 0.629286050796509f, - 0.482995986938477f, - 0.629656434059143f, 0.482896685600281f, 0.630026817321777f, - 0.482797086238861f, - 0.630397081375122f, 0.482697218656540f, 0.630767226219177f, - 0.482597053050995f, - 0.631137371063232f, 0.482496619224548f, 0.631507396697998f, - 0.482395917177200f, - 0.631877362728119f, 0.482294887304306f, 0.632247209548950f, - 0.482193619012833f, - 0.632616996765137f, 0.482092022895813f, 0.632986724376678f, - 0.481990188360214f, - 0.633356392383575f, 0.481888025999069f, 0.633725941181183f, - 0.481785595417023f, - 0.634095430374146f, 0.481682896614075f, 0.634464859962463f, - 0.481579899787903f, - 0.634834170341492f, 0.481476634740829f, 0.635203421115875f, - 0.481373071670532f, - 0.635572552680969f, 0.481269240379334f, 0.635941684246063f, - 0.481165111064911f, - 0.636310696601868f, 0.481060713529587f, 0.636679589748383f, - 0.480956017971039f, - 0.637048482894897f, 0.480851024389267f, 0.637417197227478f, - 0.480745792388916f, - 0.637785911560059f, 0.480640232563019f, 0.638154506683350f, - 0.480534434318542f, - 0.638523042201996f, 0.480428308248520f, 0.638891458511353f, - 0.480321943759918f, - 0.639259815216064f, 0.480215251445770f, 0.639628112316132f, - 0.480108320713043f, - 0.639996349811554f, 0.480001062154770f, 0.640364408493042f, - 0.479893565177917f, - 0.640732467174530f, 0.479785770177841f, 0.641100406646729f, - 0.479677677154541f, - 0.641468286514282f, 0.479569315910339f, 0.641836047172546f, - 0.479460656642914f, - 0.642203748226166f, 0.479351729154587f, 0.642571389675140f, - 0.479242533445358f, - 0.642938911914825f, 0.479133039712906f, 0.643306374549866f, - 0.479023247957230f, - 0.643673717975616f, 0.478913217782974f, 0.644041001796722f, - 0.478802859783173f, - 0.644408226013184f, 0.478692263364792f, 0.644775331020355f, - 0.478581339120865f, - 0.645142316818237f, 0.478470176458359f, 0.645509302616119f, - 0.478358715772629f, - 0.645876109600067f, 0.478246957063675f, 0.646242916584015f, - 0.478134930133820f, - 0.646609604358673f, 0.478022634983063f, 0.646976172924042f, - 0.477910041809082f, - 0.647342681884766f, 0.477797180414200f, 0.647709131240845f, - 0.477684020996094f, - 0.648075461387634f, 0.477570593357086f, 0.648441672325134f, - 0.477456867694855f, - 0.648807883262634f, 0.477342873811722f, 0.649173915386200f, - 0.477228611707687f, - 0.649539887905121f, 0.477114051580429f, 0.649905800819397f, - 0.476999223232269f, - 0.650271594524384f, 0.476884096860886f, 0.650637328624725f, - 0.476768702268600f, - 0.651003003120422f, 0.476653009653091f, 0.651368498802185f, - 0.476537048816681f, - 0.651733994483948f, 0.476420819759369f, 0.652099311351776f, - 0.476304292678833f, - 0.652464628219604f, 0.476187497377396f, 0.652829825878143f, - 0.476070433855057f, - 0.653194904327393f, 0.475953072309494f, 0.653559923171997f, - 0.475835442543030f, - 0.653924822807312f, 0.475717514753342f, 0.654289662837982f, - 0.475599318742752f, - 0.654654383659363f, 0.475480824708939f, 0.655019044876099f, - 0.475362062454224f, - 0.655383586883545f, 0.475243031978607f, 0.655748009681702f, - 0.475123733282089f, - 0.656112432479858f, 0.475004136562347f, 0.656476676464081f, - 0.474884241819382f, - 0.656840860843658f, 0.474764078855515f, 0.657204985618591f, - 0.474643647670746f, - 0.657568991184235f, 0.474522948265076f, 0.657932877540588f, - 0.474401950836182f, - 0.658296704292297f, 0.474280685186386f, 0.658660411834717f, - 0.474159121513367f, - 0.659024059772491f, 0.474037289619446f, 0.659387588500977f, - 0.473915189504623f, - 0.659750998020172f, 0.473792791366577f, 0.660114347934723f, - 0.473670125007629f, - 0.660477638244629f, 0.473547190427780f, 0.660840749740601f, - 0.473423957824707f, - 0.661203861236572f, 0.473300457000732f, 0.661566793918610f, - 0.473176687955856f, - 0.661929666996002f, 0.473052620887756f, 0.662292480468750f, - 0.472928285598755f, - 0.662655174732208f, 0.472803652286530f, 0.663017749786377f, - 0.472678780555725f, - 0.663380205631256f, 0.472553610801697f, 0.663742601871490f, - 0.472428143024445f, - 0.664104938507080f, 0.472302407026291f, 0.664467096328735f, - 0.472176402807236f, - 0.664829254150391f, 0.472050130367279f, 0.665191233158112f, - 0.471923559904099f, - 0.665553152561188f, 0.471796721220016f, 0.665914952754974f, - 0.471669614315033f, - 0.666276693344116f, 0.471542209386826f, 0.666638314723969f, - 0.471414536237717f, - 0.666999816894531f, 0.471286594867706f, 0.667361259460449f, - 0.471158385276794f, - 0.667722582817078f, 0.471029877662659f, 0.668083786964417f, - 0.470901101827621f, - 0.668444931507111f, 0.470772027969360f, 0.668805956840515f, - 0.470642685890198f, - 0.669166862964630f, 0.470513075590134f, 0.669527709484100f, - 0.470383197069168f, - 0.669888436794281f, 0.470253020524979f, 0.670249044895172f, - 0.470122605562210f, - 0.670609593391418f, 0.469991862773895f, 0.670970022678375f, - 0.469860881567001f, - 0.671330332756042f, 0.469729602336884f, 0.671690583229065f, - 0.469598054885864f, - 0.672050714492798f, 0.469466239213943f, 0.672410726547241f, - 0.469334155321121f, - 0.672770678997040f, 0.469201773405075f, 0.673130512237549f, - 0.469069123268127f, - 0.673490226268768f, 0.468936175107956f, 0.673849821090698f, - 0.468802988529205f, - 0.674209356307983f, 0.468669503927231f, 0.674568772315979f, - 0.468535751104355f, - 0.674928069114685f, 0.468401730060577f, 0.675287246704102f, - 0.468267410993576f, - 0.675646364688873f, 0.468132823705673f, 0.676005363464355f, - 0.467997968196869f, - 0.676364302635193f, 0.467862844467163f, 0.676723062992096f, - 0.467727422714233f, - 0.677081763744354f, 0.467591762542725f, 0.677440345287323f, - 0.467455804347992f, - 0.677798807621002f, 0.467319577932358f, 0.678157210350037f, - 0.467183053493500f, - 0.678515493869781f, 0.467046260833740f, 0.678873658180237f, - 0.466909229755402f, - 0.679231703281403f, 0.466771900653839f, 0.679589688777924f, - 0.466634273529053f, - 0.679947495460510f, 0.466496407985687f, 0.680305242538452f, - 0.466358244419098f, - 0.680662930011749f, 0.466219812631607f, 0.681020438671112f, - 0.466081112623215f, - 0.681377887725830f, 0.465942144393921f, 0.681735157966614f, - 0.465802878141403f, - 0.682092368602753f, 0.465663343667984f, 0.682449519634247f, - 0.465523540973663f, - 0.682806491851807f, 0.465383470058441f, 0.683163404464722f, - 0.465243130922318f, - 0.683520197868347f, 0.465102523565292f, 0.683876872062683f, - 0.464961618185043f, - 0.684233427047729f, 0.464820444583893f, 0.684589862823486f, - 0.464679002761841f, - 0.684946238994598f, 0.464537292718887f, 0.685302436351776f, - 0.464395314455032f, - 0.685658574104309f, 0.464253038167953f, 0.686014592647552f, - 0.464110493659973f, - 0.686370551586151f, 0.463967710733414f, 0.686726331710815f, - 0.463824629783630f, - 0.687082052230835f, 0.463681250810623f, 0.687437593936920f, - 0.463537633419037f, - 0.687793076038361f, 0.463393747806549f, 0.688148438930511f, - 0.463249564170837f, - 0.688503682613373f, 0.463105112314224f, 0.688858866691589f, - 0.462960392236710f, - 0.689213871955872f, 0.462815403938293f, 0.689568817615509f, - 0.462670147418976f, - 0.689923584461212f, 0.462524622678757f, 0.690278291702271f, - 0.462378799915314f, - 0.690632879734039f, 0.462232738733292f, 0.690987348556519f, - 0.462086379528046f, - 0.691341698169708f, 0.461939752101898f, 0.691695988178253f, - 0.461792886257172f, - 0.692050099372864f, 0.461645722389221f, 0.692404091358185f, - 0.461498260498047f, - 0.692758023738861f, 0.461350560188293f, 0.693111836910248f, - 0.461202591657639f, - 0.693465530872345f, 0.461054325103760f, 0.693819046020508f, - 0.460905820131302f, - 0.694172501564026f, 0.460757017135620f, 0.694525837898254f, - 0.460607945919037f, - 0.694879114627838f, 0.460458606481552f, 0.695232212543488f, - 0.460309028625488f, - 0.695585191249847f, 0.460159152746201f, 0.695938050746918f, - 0.460008978843689f, - 0.696290850639343f, 0.459858566522598f, 0.696643471717834f, - 0.459707885980606f, - 0.696996033191681f, 0.459556937217712f, 0.697348415851593f, - 0.459405690431595f, - 0.697700738906860f, 0.459254205226898f, 0.698052942752838f, - 0.459102421998978f, - 0.698404967784882f, 0.458950400352478f, 0.698756933212280f, - 0.458798080682755f, - 0.699108779430389f, 0.458645492792130f, 0.699460506439209f, - 0.458492636680603f, - 0.699812114238739f, 0.458339542150497f, 0.700163602828979f, - 0.458186149597168f, - 0.700514972209930f, 0.458032488822937f, 0.700866222381592f, - 0.457878559827805f, - 0.701217353343964f, 0.457724362611771f, 0.701568365097046f, - 0.457569897174835f, - 0.701919257640839f, 0.457415163516998f, 0.702270030975342f, - 0.457260161638260f, - 0.702620685100555f, 0.457104891538620f, 0.702971220016479f, - 0.456949323415756f, - 0.703321635723114f, 0.456793516874313f, 0.703671932220459f, - 0.456637442111969f, - 0.704022109508514f, 0.456481099128723f, 0.704372167587280f, - 0.456324487924576f, - 0.704722046852112f, 0.456167578697205f, 0.705071866512299f, - 0.456010431051254f, - 0.705421566963196f, 0.455853015184402f, 0.705771148204803f, - 0.455695331096649f, - 0.706120610237122f, 0.455537378787994f, 0.706469953060150f, - 0.455379128456116f, - 0.706819176673889f, 0.455220639705658f, 0.707168221473694f, - 0.455061882734299f, - 0.707517206668854f, 0.454902857542038f, 0.707866072654724f, - 0.454743564128876f, - 0.708214759826660f, 0.454584002494812f, 0.708563387393951f, - 0.454424172639847f, - 0.708911836147308f, 0.454264044761658f, 0.709260225296021f, - 0.454103678464890f, - 0.709608435630798f, 0.453943043947220f, 0.709956526756287f, - 0.453782171010971f, - 0.710304558277130f, 0.453621000051498f, 0.710652410984039f, - 0.453459560871124f, - 0.711000144481659f, 0.453297853469849f, 0.711347758769989f, - 0.453135877847672f, - 0.711695253849030f, 0.452973634004593f, 0.712042629718781f, - 0.452811151742935f, - 0.712389826774597f, 0.452648371458054f, 0.712736964225769f, - 0.452485352754593f, - 0.713083922863007f, 0.452322036027908f, 0.713430821895599f, - 0.452158480882645f, - 0.713777542114258f, 0.451994657516479f, 0.714124143123627f, - 0.451830536127090f, - 0.714470624923706f, 0.451666176319122f, 0.714816987514496f, - 0.451501548290253f, - 0.715163230895996f, 0.451336652040482f, 0.715509355068207f, - 0.451171487569809f, - 0.715855300426483f, 0.451006084680557f, 0.716201186180115f, - 0.450840383768082f, - 0.716546893119812f, 0.450674414634705f, 0.716892480850220f, - 0.450508207082748f, - 0.717238008975983f, 0.450341701507568f, 0.717583298683167f, - 0.450174957513809f, - 0.717928528785706f, 0.450007945299149f, 0.718273639678955f, - 0.449840664863586f, - 0.718618571758270f, 0.449673116207123f, 0.718963444232941f, - 0.449505299329758f, - 0.719308137893677f, 0.449337244033813f, 0.719652712345123f, - 0.449168890714645f, - 0.719997107982636f, 0.449000298976898f, 0.720341444015503f, - 0.448831409215927f, - 0.720685660839081f, 0.448662281036377f, 0.721029698848724f, - 0.448492884635925f, - 0.721373617649078f, 0.448323249816895f, 0.721717417240143f, - 0.448153316974640f, - 0.722061097621918f, 0.447983115911484f, 0.722404599189758f, - 0.447812676429749f, - 0.722747981548309f, 0.447641968727112f, 0.723091304302216f, - 0.447470992803574f, - 0.723434448242188f, 0.447299748659134f, 0.723777413368225f, - 0.447128236293793f, - 0.724120318889618f, 0.446956485509872f, 0.724463045597076f, - 0.446784436702728f, - 0.724805653095245f, 0.446612149477005f, 0.725148141384125f, - 0.446439594030380f, - 0.725490510463715f, 0.446266770362854f, 0.725832700729370f, - 0.446093708276749f, - 0.726174771785736f, 0.445920348167419f, 0.726516723632813f, - 0.445746749639511f, - 0.726858556270599f, 0.445572882890701f, 0.727200269699097f, - 0.445398747920990f, - 0.727541804313660f, 0.445224374532700f, 0.727883219718933f, - 0.445049703121185f, - 0.728224515914917f, 0.444874793291092f, 0.728565633296967f, - 0.444699615240097f, - 0.728906631469727f, 0.444524168968201f, 0.729247510433197f, - 0.444348484277725f, - 0.729588270187378f, 0.444172531366348f, 0.729928910732269f, - 0.443996280431747f, - 0.730269372463226f, 0.443819820880890f, 0.730609714984894f, - 0.443643063306808f, - 0.730949878692627f, 0.443466067314148f, 0.731289982795715f, - 0.443288803100586f, - 0.731629908084869f, 0.443111270666122f, 0.731969714164734f, - 0.442933470010757f, - 0.732309341430664f, 0.442755430936813f, 0.732648849487305f, - 0.442577123641968f, - 0.732988238334656f, 0.442398548126221f, 0.733327507972717f, - 0.442219734191895f, - 0.733666598796844f, 0.442040622234344f, 0.734005570411682f, - 0.441861271858215f, - 0.734344422817230f, 0.441681683063507f, 0.734683096408844f, - 0.441501796245575f, - 0.735021650791168f, 0.441321671009064f, 0.735360085964203f, - 0.441141277551651f, - 0.735698342323303f, 0.440960645675659f, 0.736036539077759f, - 0.440779715776443f, - 0.736374497413635f, 0.440598547458649f, 0.736712396144867f, - 0.440417140722275f, - 0.737050116062164f, 0.440235435962677f, 0.737387716770172f, - 0.440053492784500f, - 0.737725138664246f, 0.439871311187744f, 0.738062441349030f, - 0.439688831567764f, - 0.738399624824524f, 0.439506113529205f, 0.738736629486084f, - 0.439323127269745f, - 0.739073514938354f, 0.439139902591705f, 0.739410281181335f, - 0.438956409692764f, - 0.739746868610382f, 0.438772648572922f, 0.740083336830139f, - 0.438588619232178f, - 0.740419685840607f, 0.438404351472855f, 0.740755856037140f, - 0.438219845294952f, - 0.741091907024384f, 0.438035041093826f, 0.741427779197693f, - 0.437849998474121f, - 0.741763532161713f, 0.437664687633514f, 0.742099165916443f, - 0.437479138374329f, - 0.742434620857239f, 0.437293320894241f, 0.742769956588745f, - 0.437107264995575f, - 0.743105113506317f, 0.436920911073685f, 0.743440151214600f, - 0.436734348535538f, - 0.743775069713593f, 0.436547487974167f, 0.744109809398651f, - 0.436360388994217f, - 0.744444429874420f, 0.436173021793365f, 0.744778931140900f, - 0.435985416173935f, - 0.745113253593445f, 0.435797542333603f, 0.745447397232056f, - 0.435609430074692f, - 0.745781481266022f, 0.435421019792557f, 0.746115326881409f, - 0.435232400894165f, - 0.746449112892151f, 0.435043483972549f, 0.746782720088959f, - 0.434854328632355f, - 0.747116148471832f, 0.434664934873581f, 0.747449457645416f, - 0.434475272893906f, - 0.747782647609711f, 0.434285342693329f, 0.748115658760071f, - 0.434095174074173f, - 0.748448550701141f, 0.433904737234116f, 0.748781263828278f, - 0.433714061975479f, - 0.749113857746124f, 0.433523118495941f, 0.749446272850037f, - 0.433331936597824f, - 0.749778568744659f, 0.433140486478806f, 0.750110685825348f, - 0.432948768138886f, - 0.750442683696747f, 0.432756811380386f, 0.750774562358856f, - 0.432564586400986f, - 0.751106262207031f, 0.432372123003006f, 0.751437783241272f, - 0.432179391384125f, - 0.751769185066223f, 0.431986421346664f, 0.752100467681885f, - 0.431793183088303f, - 0.752431571483612f, 0.431599706411362f, 0.752762496471405f, - 0.431405961513519f, - 0.753093302249908f, 0.431211978197098f, 0.753423988819122f, - 0.431017726659775f, - 0.753754496574402f, 0.430823236703873f, 0.754084885120392f, - 0.430628478527069f, - 0.754415094852448f, 0.430433481931686f, 0.754745125770569f, - 0.430238217115402f, - 0.755075037479401f, 0.430042684078217f, 0.755404829978943f, - 0.429846942424774f, - 0.755734443664551f, 0.429650902748108f, 0.756063878536224f, - 0.429454624652863f, - 0.756393194198608f, 0.429258108139038f, 0.756722390651703f, - 0.429061323404312f, - 0.757051348686218f, 0.428864300251007f, 0.757380247116089f, - 0.428667008876801f, - 0.757708966732025f, 0.428469479084015f, 0.758037507534027f, - 0.428271710872650f, - 0.758365929126740f, 0.428073674440384f, 0.758694171905518f, - 0.427875369787216f, - 0.759022235870361f, 0.427676826715469f, 0.759350180625916f, - 0.427478045225143f, - 0.759678006172180f, 0.427278995513916f, 0.760005652904511f, - 0.427079707384110f, - 0.760333120822906f, 0.426880151033401f, 0.760660469532013f, - 0.426680356264114f, - 0.760987639427185f, 0.426480293273926f, 0.761314690113068f, - 0.426279991865158f, - 0.761641561985016f, 0.426079452037811f, 0.761968255043030f, - 0.425878643989563f, - 0.762294828891754f, 0.425677597522736f, 0.762621283531189f, - 0.425476282835007f, - 0.762947499752045f, 0.425274729728699f, 0.763273596763611f, - 0.425072938203812f, - 0.763599574565887f, 0.424870878458023f, 0.763925373554230f, - 0.424668580293655f, - 0.764250993728638f, 0.424466013908386f, 0.764576494693756f, - 0.424263238906860f, - 0.764901816844940f, 0.424060165882111f, 0.765226960182190f, - 0.423856884241104f, - 0.765551984310150f, 0.423653304576874f, 0.765876889228821f, - 0.423449516296387f, - 0.766201555728912f, 0.423245459794998f, 0.766526103019714f, - 0.423041164875031f, - 0.766850471496582f, 0.422836631536484f, 0.767174720764160f, - 0.422631829977036f, - 0.767498791217804f, 0.422426789999008f, 0.767822742462158f, - 0.422221481800079f, - 0.768146514892578f, 0.422015935182571f, 0.768470108509064f, - 0.421810150146484f, - 0.768793523311615f, 0.421604126691818f, 0.769116818904877f, - 0.421397835016251f, - 0.769439935684204f, 0.421191304922104f, 0.769762933254242f, - 0.420984506607056f, - 0.770085752010345f, 0.420777499675751f, 0.770408391952515f, - 0.420570224523544f, - 0.770730912685394f, 0.420362681150436f, 0.771053194999695f, - 0.420154929161072f, - 0.771375417709351f, 0.419946908950806f, 0.771697402000427f, - 0.419738620519638f, - 0.772019267082214f, 0.419530123472214f, 0.772340953350067f, - 0.419321358203888f, - 0.772662520408630f, 0.419112354516983f, 0.772983849048615f, - 0.418903112411499f, - 0.773305058479309f, 0.418693602085114f, 0.773626148700714f, - 0.418483853340149f, - 0.773947000503540f, 0.418273866176605f, 0.774267733097076f, - 0.418063640594482f, - 0.774588346481323f, 0.417853146791458f, 0.774908721446991f, - 0.417642414569855f, - 0.775228977203369f, 0.417431443929672f, 0.775549054145813f, - 0.417220205068588f, - 0.775869011878967f, 0.417008757591248f, 0.776188731193542f, - 0.416797041893005f, - 0.776508331298828f, 0.416585087776184f, 0.776827812194824f, - 0.416372895240784f, - 0.777147054672241f, 0.416160434484482f, 0.777466177940369f, - 0.415947735309601f, - 0.777785122394562f, 0.415734797716141f, 0.778103888034821f, - 0.415521621704102f, - 0.778422534465790f, 0.415308207273483f, 0.778741002082825f, - 0.415094524621964f, - 0.779059290885925f, 0.414880603551865f, 0.779377400875092f, - 0.414666473865509f, - 0.779695332050323f, 0.414452046155930f, 0.780013144016266f, - 0.414237409830093f, - 0.780330777168274f, 0.414022535085678f, 0.780648231506348f, - 0.413807392120361f, - 0.780965566635132f, 0.413592010736465f, 0.781282722949982f, - 0.413376390933990f, - 0.781599700450897f, 0.413160532712936f, 0.781916499137878f, - 0.412944436073303f, - 0.782233119010925f, 0.412728071212769f, 0.782549619674683f, - 0.412511497735977f, - 0.782865881919861f, 0.412294656038284f, 0.783182024955750f, - 0.412077575922012f, - 0.783498048782349f, 0.411860257387161f, 0.783813834190369f, - 0.411642700433731f, - 0.784129500389099f, 0.411424905061722f, 0.784444928169250f, - 0.411206841468811f, - 0.784760236740112f, 0.410988569259644f, 0.785075426101685f, - 0.410770028829575f, - 0.785390377044678f, 0.410551249980927f, 0.785705149173737f, - 0.410332232713699f, - 0.786019802093506f, 0.410112977027893f, 0.786334276199341f, - 0.409893482923508f, - 0.786648571491241f, 0.409673750400543f, 0.786962687969208f, - 0.409453779459000f, - 0.787276685237885f, 0.409233570098877f, 0.787590444087982f, - 0.409013092517853f, - 0.787904083728790f, 0.408792406320572f, 0.788217544555664f, - 0.408571451902390f, - 0.788530826568604f, 0.408350288867950f, 0.788843929767609f, - 0.408128857612610f, - 0.789156913757324f, 0.407907217741013f, 0.789469659328461f, - 0.407685309648514f, - 0.789782285690308f, 0.407463163137436f, 0.790094733238220f, - 0.407240778207779f, - 0.790407001972198f, 0.407018154859543f, 0.790719091892242f, - 0.406795293092728f, - 0.791031002998352f, 0.406572192907333f, 0.791342735290527f, - 0.406348884105682f, - 0.791654348373413f, 0.406125307083130f, 0.791965723037720f, - 0.405901491641998f, - 0.792276978492737f, 0.405677437782288f, 0.792588055133820f, - 0.405453115701675f, - 0.792898952960968f, 0.405228585004807f, 0.793209671974182f, - 0.405003815889359f, - 0.793520212173462f, 0.404778808355331f, 0.793830573558807f, - 0.404553562402725f, - 0.794140756130219f, 0.404328078031540f, 0.794450819492340f, - 0.404102355241776f, - 0.794760644435883f, 0.403876423835754f, 0.795070350170136f, - 0.403650224208832f, - 0.795379877090454f, 0.403423786163330f, 0.795689165592194f, - 0.403197109699249f, - 0.795998334884644f, 0.402970194816589f, 0.796307325363159f, - 0.402743041515350f, - 0.796616137027740f, 0.402515679597855f, 0.796924769878387f, - 0.402288049459457f, - 0.797233223915100f, 0.402060180902481f, 0.797541558742523f, - 0.401832103729248f, - 0.797849655151367f, 0.401603758335114f, 0.798157572746277f, - 0.401375204324722f, - 0.798465371131897f, 0.401146411895752f, 0.798772931098938f, - 0.400917351245880f, - 0.799080371856689f, 0.400688081979752f, 0.799387574195862f, - 0.400458574295044f, - 0.799694657325745f, 0.400228828191757f, 0.800001561641693f, - 0.399998843669891f, - 0.800308227539063f, 0.399768620729446f, 0.800614774227142f, - 0.399538189172745f, - 0.800921142101288f, 0.399307489395142f, 0.801227271556854f, - 0.399076581001282f, - 0.801533281803131f, 0.398845434188843f, 0.801839113235474f, - 0.398614019155502f, - 0.802144765853882f, 0.398382395505905f, 0.802450239658356f, - 0.398150533437729f, - 0.802755534648895f, 0.397918462753296f, 0.803060650825500f, - 0.397686123847961f, - 0.803365588188171f, 0.397453576326370f, 0.803670346736908f, - 0.397220760583878f, - 0.803974866867065f, 0.396987736225128f, 0.804279267787933f, - 0.396754473447800f, - 0.804583489894867f, 0.396520972251892f, 0.804887533187866f, - 0.396287262439728f, - 0.805191397666931f, 0.396053284406662f, 0.805495083332062f, - 0.395819097757339f, - 0.805798590183258f, 0.395584672689438f, 0.806101918220520f, - 0.395350009202957f, - 0.806405067443848f, 0.395115107297897f, 0.806707978248596f, - 0.394879996776581f, - 0.807010769844055f, 0.394644618034363f, 0.807313382625580f, - 0.394409030675888f, - 0.807615816593170f, 0.394173204898834f, 0.807918012142181f, - 0.393937170505524f, - 0.808220088481903f, 0.393700867891312f, 0.808521986007690f, - 0.393464356660843f, - 0.808823645114899f, 0.393227607011795f, 0.809125185012817f, - 0.392990618944168f, - 0.809426486492157f, 0.392753422260284f, 0.809727668762207f, - 0.392515957355499f, - 0.810028612613678f, 0.392278283834457f, 0.810329377651215f, - 0.392040401697159f, - 0.810629963874817f, 0.391802251338959f, 0.810930430889130f, - 0.391563892364502f, - 0.811230659484863f, 0.391325294971466f, 0.811530709266663f, - 0.391086459159851f, - 0.811830580234528f, 0.390847414731979f, 0.812130272388458f, - 0.390608131885529f, - 0.812429726123810f, 0.390368610620499f, 0.812729060649872f, - 0.390128880739212f, - 0.813028216362000f, 0.389888882637024f, 0.813327133655548f, - 0.389648675918579f, - 0.813625931739807f, 0.389408260583878f, 0.813924491405487f, - 0.389167606830597f, - 0.814222872257233f, 0.388926714658737f, 0.814521074295044f, - 0.388685584068298f, - 0.814819097518921f, 0.388444244861603f, 0.815116941928864f, - 0.388202667236328f, - 0.815414607524872f, 0.387960851192474f, 0.815712094306946f, - 0.387718826532364f, - 0.816009342670441f, 0.387476563453674f, 0.816306471824646f, - 0.387234061956406f, - 0.816603362560272f, 0.386991351842880f, 0.816900074481964f, - 0.386748403310776f, - 0.817196667194366f, 0.386505216360092f, 0.817493021488190f, - 0.386261820793152f, - 0.817789137363434f, 0.386018186807632f, 0.818085134029388f, - 0.385774344205856f, - 0.818380951881409f, 0.385530263185501f, 0.818676531314850f, - 0.385285943746567f, - 0.818971931934357f, 0.385041415691376f, 0.819267153739929f, - 0.384796649217606f, - 0.819562196731567f, 0.384551674127579f, 0.819857060909271f, - 0.384306460618973f, - 0.820151746273041f, 0.384061008691788f, 0.820446193218231f, - 0.383815348148346f, - 0.820740520954132f, 0.383569449186325f, 0.821034610271454f, - 0.383323341608047f, - 0.821328520774841f, 0.383076995611191f, 0.821622252464294f, - 0.382830440998077f, - 0.821915745735168f, 0.382583618164063f, 0.822209119796753f, - 0.382336616516113f, - 0.822502255439758f, 0.382089376449585f, 0.822795212268829f, - 0.381841897964478f, - 0.823087990283966f, 0.381594210863113f, 0.823380589485168f, - 0.381346285343170f, - 0.823673009872437f, 0.381098151206970f, 0.823965191841125f, - 0.380849778652191f, - 0.824257194995880f, 0.380601197481155f, 0.824549019336700f, - 0.380352377891541f, - 0.824840664863586f, 0.380103349685669f, 0.825132071971893f, - 0.379854083061218f, - 0.825423359870911f, 0.379604607820511f, 0.825714409351349f, - 0.379354894161224f, - 0.826005280017853f, 0.379104942083359f, 0.826295912265778f, - 0.378854811191559f, - 0.826586425304413f, 0.378604412078857f, 0.826876699924469f, - 0.378353834152222f, - 0.827166795730591f, 0.378102988004684f, 0.827456712722778f, - 0.377851963043213f, - 0.827746450901031f, 0.377600699663162f, 0.828035950660706f, - 0.377349197864532f, - 0.828325271606445f, 0.377097487449646f, 0.828614413738251f, - 0.376845568418503f, - 0.828903317451477f, 0.376593410968781f, 0.829192101955414f, - 0.376341015100479f, - 0.829480648040771f, 0.376088410615921f, 0.829769015312195f, - 0.375835597515106f, - 0.830057144165039f, 0.375582575798035f, 0.830345153808594f, - 0.375329315662384f, - 0.830632925033569f, 0.375075817108154f, 0.830920517444611f, - 0.374822109937668f, - 0.831207871437073f, 0.374568194150925f, 0.831495106220245f, - 0.374314039945602f, - 0.831782102584839f, 0.374059677124023f, 0.832068860530853f, - 0.373805105686188f, - 0.832355499267578f, 0.373550295829773f, 0.832641899585724f, - 0.373295277357101f, - 0.832928121089935f, 0.373040050268173f, 0.833214163780212f, - 0.372784584760666f, - 0.833499968051910f, 0.372528880834579f, 0.833785593509674f, - 0.372272998094559f, - 0.834071040153503f, 0.372016876935959f, 0.834356248378754f, - 0.371760547161102f, - 0.834641277790070f, 0.371503978967667f, 0.834926128387451f, - 0.371247202157974f, - 0.835210800170898f, 0.370990216732025f, 0.835495233535767f, - 0.370732992887497f, - 0.835779488086700f, 0.370475560426712f, 0.836063504219055f, - 0.370217919349670f, - 0.836347401142120f, 0.369960039854050f, 0.836631059646606f, - 0.369701951742172f, - 0.836914479732513f, 0.369443655014038f, 0.837197780609131f, - 0.369185149669647f, - 0.837480843067169f, 0.368926405906677f, 0.837763667106628f, - 0.368667453527451f, - 0.838046371936798f, 0.368408292531967f, 0.838328838348389f, - 0.368148893117905f, - 0.838611066341400f, 0.367889285087585f, 0.838893175125122f, - 0.367629468441010f, - 0.839175045490265f, 0.367369443178177f, 0.839456677436829f, - 0.367109179496765f, - 0.839738130569458f, 0.366848707199097f, 0.840019404888153f, - 0.366588026285172f, - 0.840300500392914f, 0.366327136754990f, 0.840581357479095f, - 0.366066008806229f, - 0.840862035751343f, 0.365804702043533f, 0.841142535209656f, - 0.365543156862259f, - 0.841422796249390f, 0.365281373262405f, 0.841702818870544f, - 0.365019410848618f, - 0.841982722282410f, 0.364757210016251f, 0.842262387275696f, - 0.364494800567627f, - 0.842541813850403f, 0.364232182502747f, 0.842821121215820f, - 0.363969355821610f, - 0.843100130558014f, 0.363706320524216f, 0.843379020690918f, - 0.363443046808243f, - 0.843657672405243f, 0.363179564476013f, 0.843936145305634f, - 0.362915903329849f, - 0.844214379787445f, 0.362651973962784f, 0.844492435455322f, - 0.362387865781784f, - 0.844770252704620f, 0.362123548984528f, 0.845047891139984f, - 0.361858993768692f, - 0.845325350761414f, 0.361594229936600f, 0.845602571964264f, - 0.361329287290573f, - 0.845879614353180f, 0.361064106225967f, 0.846156477928162f, - 0.360798716545105f, - 0.846433103084564f, 0.360533088445663f, 0.846709489822388f, - 0.360267281532288f, - 0.846985757350922f, 0.360001266002655f, 0.847261726856232f, - 0.359735012054443f, - 0.847537577152252f, 0.359468549489975f, 0.847813189029694f, - 0.359201908111572f, - 0.848088562488556f, 0.358935028314590f, 0.848363757133484f, - 0.358667939901352f, - 0.848638772964478f, 0.358400642871857f, 0.848913550376892f, - 0.358133137226105f, - 0.849188148975372f, 0.357865422964096f, 0.849462509155273f, - 0.357597470283508f, - 0.849736690521240f, 0.357329338788986f, 0.850010633468628f, - 0.357060998678207f, - 0.850284397602081f, 0.356792420148849f, 0.850557923316956f, - 0.356523662805557f, - 0.850831270217896f, 0.356254696846008f, 0.851104438304901f, - 0.355985492467880f, - 0.851377367973328f, 0.355716109275818f, 0.851650118827820f, - 0.355446487665176f, - 0.851922631263733f, 0.355176687240601f, 0.852194905281067f, - 0.354906648397446f, - 0.852467060089111f, 0.354636400938034f, 0.852738916873932f, - 0.354365974664688f, - 0.853010654449463f, 0.354095309972763f, 0.853282094001770f, - 0.353824466466904f, - 0.853553414344788f, 0.353553384542465f, 0.853824436664581f, - 0.353282123804092f, - 0.854095339775085f, 0.353010624647141f, 0.854365944862366f, - 0.352738946676254f, - 0.854636430740356f, 0.352467030286789f, 0.854906618595123f, - 0.352194935083389f, - 0.855176687240601f, 0.351922631263733f, 0.855446517467499f, - 0.351650089025497f, - 0.855716109275818f, 0.351377367973328f, 0.855985522270203f, - 0.351104438304901f, - 0.856254696846008f, 0.350831300020218f, 0.856523692607880f, - 0.350557953119278f, - 0.856792449951172f, 0.350284397602081f, 0.857060968875885f, - 0.350010633468628f, - 0.857329368591309f, 0.349736660718918f, 0.857597470283508f, - 0.349462509155273f, - 0.857865393161774f, 0.349188119173050f, 0.858133137226105f, - 0.348913550376892f, - 0.858400642871857f, 0.348638743162155f, 0.858667910099030f, - 0.348363757133484f, - 0.858934998512268f, 0.348088562488556f, 0.859201908111572f, - 0.347813159227371f, - 0.859468579292297f, 0.347537547349930f, 0.859735012054443f, - 0.347261756658554f, - 0.860001266002655f, 0.346985727548599f, 0.860267281532288f, - 0.346709519624710f, - 0.860533118247986f, 0.346433073282242f, 0.860798716545105f, - 0.346156448125839f, - 0.861064076423645f, 0.345879614353180f, 0.861329257488251f, - 0.345602601766586f, - 0.861594259738922f, 0.345325350761414f, 0.861859023571014f, - 0.345047920942307f, - 0.862123548984528f, 0.344770282506943f, 0.862387895584106f, - 0.344492435455322f, - 0.862652003765106f, 0.344214379787445f, 0.862915873527527f, - 0.343936115503311f, - 0.863179564476013f, 0.343657672405243f, 0.863443076610565f, - 0.343379020690918f, - 0.863706290721893f, 0.343100160360336f, 0.863969385623932f, - 0.342821091413498f, - 0.864232182502747f, 0.342541843652725f, 0.864494800567627f, - 0.342262357473373f, - 0.864757239818573f, 0.341982692480087f, 0.865019381046295f, - 0.341702848672867f, - 0.865281403064728f, 0.341422766447067f, 0.865543127059937f, - 0.341142505407333f, - 0.865804672241211f, 0.340862035751343f, 0.866066038608551f, - 0.340581357479095f, - 0.866327106952667f, 0.340300500392914f, 0.866588056087494f, - 0.340019434690475f, - 0.866848707199097f, 0.339738160371780f, 0.867109179496765f, - 0.339456677436829f, - 0.867369413375854f, 0.339175015687943f, 0.867629468441010f, - 0.338893145322800f, - 0.867889285087585f, 0.338611096143723f, 0.868148922920227f, - 0.338328808546066f, - 0.868408262729645f, 0.338046342134476f, 0.868667483329773f, - 0.337763696908951f, - 0.868926405906677f, 0.337480813264847f, 0.869185149669647f, - 0.337197750806808f, - 0.869443655014038f, 0.336914509534836f, 0.869701981544495f, - 0.336631029844284f, - 0.869960069656372f, 0.336347371339798f, 0.870217919349670f, - 0.336063534021378f, - 0.870475590229034f, 0.335779488086700f, 0.870733022689819f, - 0.335495233535767f, - 0.870990216732025f, 0.335210770368576f, 0.871247172355652f, - 0.334926128387451f, - 0.871503949165344f, 0.334641307592392f, 0.871760547161102f, - 0.334356248378754f, - 0.872016847133636f, 0.334071010351181f, 0.872272968292236f, - 0.333785593509674f, - 0.872528910636902f, 0.333499968051910f, 0.872784554958344f, - 0.333214133977890f, - 0.873040020465851f, 0.332928121089935f, 0.873295307159424f, - 0.332641899585724f, - 0.873550295829773f, 0.332355499267578f, 0.873805105686188f, - 0.332068890333176f, - 0.874059677124023f, 0.331782072782516f, 0.874314069747925f, - 0.331495076417923f, - 0.874568223953247f, 0.331207901239395f, 0.874822139739990f, - 0.330920487642288f, - 0.875075817108154f, 0.330632925033569f, 0.875329315662384f, - 0.330345153808594f, - 0.875582575798035f, 0.330057173967361f, 0.875835597515106f, - 0.329769015312195f, - 0.876088440418243f, 0.329480648040771f, 0.876341044902802f, - 0.329192101955414f, - 0.876593410968781f, 0.328903347253799f, 0.876845538616180f, - 0.328614413738251f, - 0.877097487449646f, 0.328325271606445f, 0.877349197864532f, - 0.328035950660706f, - 0.877600669860840f, 0.327746421098709f, 0.877851963043213f, - 0.327456712722778f, - 0.878103017807007f, 0.327166795730591f, 0.878353834152222f, - 0.326876699924469f, - 0.878604412078857f, 0.326586425304413f, 0.878854811191559f, - 0.326295942068100f, - 0.879104971885681f, 0.326005280017853f, 0.879354894161224f, - 0.325714409351349f, - 0.879604578018188f, 0.325423330068588f, 0.879854083061218f, - 0.325132101774216f, - 0.880103349685669f, 0.324840664863586f, 0.880352377891541f, - 0.324549019336700f, - 0.880601167678833f, 0.324257194995880f, 0.880849778652191f, - 0.323965191841125f, - 0.881098151206970f, 0.323672980070114f, 0.881346285343170f, - 0.323380589485168f, - 0.881594181060791f, 0.323088020086288f, 0.881841897964478f, - 0.322795242071152f, - 0.882089376449585f, 0.322502255439758f, 0.882336616516113f, - 0.322209119796753f, - 0.882583618164063f, 0.321915775537491f, 0.882830440998077f, - 0.321622252464294f, - 0.883076965808868f, 0.321328520774841f, 0.883323311805725f, - 0.321034610271454f, - 0.883569478988647f, 0.320740520954132f, 0.883815348148346f, - 0.320446223020554f, - 0.884061038494110f, 0.320151746273041f, 0.884306430816650f, - 0.319857090711594f, - 0.884551644325256f, 0.319562226533890f, 0.884796679019928f, - 0.319267183542252f, - 0.885041415691376f, 0.318971961736679f, 0.885285973548889f, - 0.318676531314850f, - 0.885530233383179f, 0.318380922079086f, 0.885774314403534f, - 0.318085134029388f, - 0.886018216609955f, 0.317789167165756f, 0.886261820793152f, - 0.317492991685867f, - 0.886505246162415f, 0.317196637392044f, 0.886748373508453f, - 0.316900104284287f, - 0.886991322040558f, 0.316603392362595f, 0.887234091758728f, - 0.316306471824646f, - 0.887476563453674f, 0.316009372472763f, 0.887718796730042f, - 0.315712094306946f, - 0.887960851192474f, 0.315414607524872f, 0.888202667236328f, - 0.315116971731186f, - 0.888444244861603f, 0.314819127321243f, 0.888685584068298f, - 0.314521104097366f, - 0.888926684856415f, 0.314222872257233f, 0.889167606830597f, - 0.313924491405487f, - 0.889408230781555f, 0.313625901937485f, 0.889648675918579f, - 0.313327133655548f, - 0.889888882637024f, 0.313028186559677f, 0.890128850936890f, - 0.312729060649872f, - 0.890368640422821f, 0.312429755926132f, 0.890608131885529f, - 0.312130242586136f, - 0.890847444534302f, 0.311830550432205f, 0.891086459159851f, - 0.311530679464340f, - 0.891325294971466f, 0.311230629682541f, 0.891563892364502f, - 0.310930401086807f, - 0.891802251338959f, 0.310629993677139f, 0.892040371894836f, - 0.310329377651215f, - 0.892278313636780f, 0.310028612613678f, 0.892515957355499f, - 0.309727638959885f, - 0.892753422260284f, 0.309426486492157f, 0.892990648746490f, - 0.309125155210495f, - 0.893227577209473f, 0.308823645114899f, 0.893464326858521f, - 0.308521956205368f, - 0.893700897693634f, 0.308220088481903f, 0.893937170505524f, - 0.307918041944504f, - 0.894173204898834f, 0.307615786790848f, 0.894409060478210f, - 0.307313382625580f, - 0.894644618034363f, 0.307010769844055f, 0.894879996776581f, - 0.306708008050919f, - 0.895115137100220f, 0.306405037641525f, 0.895349979400635f, - 0.306101888418198f, - 0.895584642887115f, 0.305798590183258f, 0.895819067955017f, - 0.305495083332062f, - 0.896053314208984f, 0.305191397666931f, 0.896287262439728f, - 0.304887533187866f, - 0.896520972251892f, 0.304583519697189f, 0.896754503250122f, - 0.304279297590256f, - 0.896987736225128f, 0.303974896669388f, 0.897220790386200f, - 0.303670316934586f, - 0.897453546524048f, 0.303365558385849f, 0.897686123847961f, - 0.303060621023178f, - 0.897918462753296f, 0.302755534648895f, 0.898150563240051f, - 0.302450239658356f, - 0.898382425308228f, 0.302144765853882f, 0.898614048957825f, - 0.301839113235474f, - 0.898845434188843f, 0.301533311605453f, 0.899076581001282f, - 0.301227301359177f, - 0.899307489395142f, 0.300921112298965f, 0.899538159370422f, - 0.300614774227142f, - 0.899768650531769f, 0.300308227539063f, 0.899998843669891f, - 0.300001531839371f, - 0.900228857994080f, 0.299694657325745f, 0.900458574295044f, - 0.299387603998184f, - 0.900688111782074f, 0.299080342054367f, 0.900917351245880f, - 0.298772931098938f, - 0.901146411895752f, 0.298465341329575f, 0.901375174522400f, - 0.298157602548599f, - 0.901603758335114f, 0.297849655151367f, 0.901832103729248f, - 0.297541528940201f, - 0.902060210704803f, 0.297233253717422f, 0.902288019657135f, - 0.296924799680710f, - 0.902515649795532f, 0.296616137027740f, 0.902743041515350f, - 0.296307325363159f, - 0.902970194816589f, 0.295998334884644f, 0.903197109699249f, - 0.295689195394516f, - 0.903423786163330f, 0.295379847288132f, 0.903650224208832f, - 0.295070350170136f, - 0.903876423835754f, 0.294760644435883f, 0.904102385044098f, - 0.294450789690018f, - 0.904328107833862f, 0.294140785932541f, 0.904553592205048f, - 0.293830573558807f, - 0.904778838157654f, 0.293520182371140f, 0.905003845691681f, - 0.293209642171860f, - 0.905228614807129f, 0.292898923158646f, 0.905453145503998f, - 0.292588025331497f, - 0.905677437782288f, 0.292276978492737f, 0.905901491641998f, - 0.291965723037720f, - 0.906125307083130f, 0.291654318571091f, 0.906348884105682f, - 0.291342735290527f, - 0.906572222709656f, 0.291031002998352f, 0.906795322895050f, - 0.290719062089920f, - 0.907018184661865f, 0.290406972169876f, 0.907240808010101f, - 0.290094703435898f, - 0.907463192939758f, 0.289782285690308f, 0.907685279846191f, - 0.289469659328461f, - 0.907907187938690f, 0.289156883955002f, 0.908128857612610f, - 0.288843959569931f, - 0.908350288867950f, 0.288530826568604f, 0.908571481704712f, - 0.288217544555664f, - 0.908792436122894f, 0.287904083728790f, 0.909013092517853f, - 0.287590473890305f, - 0.909233570098877f, 0.287276685237885f, 0.909453809261322f, - 0.286962717771530f, - 0.909673750400543f, 0.286648571491241f, 0.909893512725830f, - 0.286334276199341f, - 0.910112977027893f, 0.286019802093506f, 0.910332262516022f, - 0.285705178976059f, - 0.910551249980927f, 0.285390377044678f, 0.910769999027252f, - 0.285075396299362f, - 0.910988569259644f, 0.284760266542435f, 0.911206841468811f, - 0.284444957971573f, - 0.911424875259399f, 0.284129470586777f, 0.911642670631409f, - 0.283813834190369f, - 0.911860227584839f, 0.283498018980026f, 0.912077546119690f, - 0.283182054758072f, - 0.912294626235962f, 0.282865911722183f, 0.912511467933655f, - 0.282549589872360f, - 0.912728071212769f, 0.282233119010925f, 0.912944436073303f, - 0.281916469335556f, - 0.913160502910614f, 0.281599670648575f, 0.913376390933990f, - 0.281282693147659f, - 0.913592040538788f, 0.280965566635132f, 0.913807392120361f, - 0.280648261308670f, - 0.914022505283356f, 0.280330777168274f, 0.914237439632416f, - 0.280013144016266f, - 0.914452075958252f, 0.279695361852646f, 0.914666473865509f, - 0.279377400875092f, - 0.914880633354187f, 0.279059261083603f, 0.915094554424286f, - 0.278740972280502f, - 0.915308177471161f, 0.278422504663467f, 0.915521621704102f, - 0.278103888034821f, - 0.915734827518463f, 0.277785122394562f, 0.915947735309601f, - 0.277466177940369f, - 0.916160404682159f, 0.277147054672241f, 0.916372895240784f, - 0.276827782392502f, - 0.916585087776184f, 0.276508361101151f, 0.916797041893005f, - 0.276188760995865f, - 0.917008757591248f, 0.275868982076645f, 0.917220234870911f, - 0.275549083948135f, - 0.917431414127350f, 0.275228977203369f, 0.917642414569855f, - 0.274908751249313f, - 0.917853116989136f, 0.274588316679001f, 0.918063640594482f, - 0.274267762899399f, - 0.918273866176605f, 0.273947030305862f, 0.918483853340149f, - 0.273626148700714f, - 0.918693602085114f, 0.273305088281631f, 0.918903112411499f, - 0.272983878850937f, - 0.919112324714661f, 0.272662490606308f, 0.919321358203888f, - 0.272340953350067f, - 0.919530093669891f, 0.272019267082214f, 0.919738650321960f, - 0.271697402000427f, - 0.919946908950806f, 0.271375387907028f, 0.920154929161072f, - 0.271053224802017f, - 0.920362710952759f, 0.270730882883072f, 0.920570194721222f, - 0.270408391952515f, - 0.920777499675751f, 0.270085722208023f, 0.920984506607056f, - 0.269762933254242f, - 0.921191275119781f, 0.269439965486526f, 0.921397805213928f, - 0.269116818904877f, - 0.921604096889496f, 0.268793523311615f, 0.921810150146484f, - 0.268470078706741f, - 0.922015964984894f, 0.268146485090256f, 0.922221481800079f, - 0.267822742462158f, - 0.922426760196686f, 0.267498821020126f, 0.922631800174713f, - 0.267174720764160f, - 0.922836601734161f, 0.266850501298904f, 0.923041164875031f, - 0.266526103019714f, - 0.923245489597321f, 0.266201555728912f, 0.923449516296387f, - 0.265876859426498f, - 0.923653304576874f, 0.265552014112473f, 0.923856854438782f, - 0.265226989984512f, - 0.924060165882111f, 0.264901816844940f, 0.924263238906860f, - 0.264576494693756f, - 0.924466013908386f, 0.264250993728638f, 0.924668610095978f, - 0.263925373554230f, - 0.924870908260345f, 0.263599574565887f, 0.925072908401489f, - 0.263273626565933f, - 0.925274729728699f, 0.262947499752045f, 0.925476312637329f, - 0.262621253728867f, - 0.925677597522736f, 0.262294828891754f, 0.925878643989563f, - 0.261968284845352f, - 0.926079452037811f, 0.261641561985016f, 0.926280021667480f, - 0.261314690113068f, - 0.926480293273926f, 0.260987639427185f, 0.926680326461792f, - 0.260660469532013f, - 0.926880121231079f, 0.260333120822906f, 0.927079677581787f, - 0.260005623102188f, - 0.927278995513916f, 0.259678006172180f, 0.927478015422821f, - 0.259350210428238f, - 0.927676856517792f, 0.259022265672684f, 0.927875399589539f, - 0.258694142103195f, - 0.928073644638062f, 0.258365899324417f, 0.928271710872650f, - 0.258037507534027f, - 0.928469479084015f, 0.257708936929703f, 0.928667008876801f, - 0.257380217313766f, - 0.928864300251007f, 0.257051378488541f, 0.929061353206635f, - 0.256722360849380f, - 0.929258108139038f, 0.256393194198608f, 0.929454624652863f, - 0.256063878536224f, - 0.929650902748108f, 0.255734413862228f, 0.929846942424774f, - 0.255404800176620f, - 0.930042684078217f, 0.255075037479401f, 0.930238187313080f, - 0.254745125770569f, - 0.930433452129364f, 0.254415065050125f, 0.930628478527069f, - 0.254084855318069f, - 0.930823206901550f, 0.253754496574402f, 0.931017756462097f, - 0.253423988819122f, - 0.931211948394775f, 0.253093332052231f, 0.931405961513519f, - 0.252762526273727f, - 0.931599736213684f, 0.252431541681290f, 0.931793212890625f, - 0.252100437879562f, - 0.931986451148987f, 0.251769185066223f, 0.932179391384125f, - 0.251437783241272f, - 0.932372152805328f, 0.251106232404709f, 0.932564616203308f, - 0.250774532556534f, - 0.932756841182709f, 0.250442683696747f, 0.932948768138886f, - 0.250110685825348f, - 0.933140456676483f, 0.249778553843498f, 0.933331906795502f, - 0.249446272850037f, - 0.933523118495941f, 0.249113827943802f, 0.933714091777802f, - 0.248781248927116f, - 0.933904767036438f, 0.248448520898819f, 0.934095203876495f, - 0.248115643858910f, - 0.934285342693329f, 0.247782632708550f, 0.934475243091583f, - 0.247449472546577f, - 0.934664964675903f, 0.247116148471832f, 0.934854328632355f, - 0.246782705187798f, - 0.935043513774872f, 0.246449097990990f, 0.935232400894165f, - 0.246115356683731f, - 0.935421049594879f, 0.245781451463699f, 0.935609400272369f, - 0.245447427034378f, - 0.935797572135925f, 0.245113238692284f, 0.935985386371613f, - 0.244778916239738f, - 0.936173021793365f, 0.244444444775581f, 0.936360359191895f, - 0.244109839200974f, - 0.936547517776489f, 0.243775084614754f, 0.936734318733215f, - 0.243440181016922f, - 0.936920940876007f, 0.243105143308640f, 0.937107264995575f, - 0.242769956588745f, - 0.937293350696564f, 0.242434620857239f, 0.937479138374329f, - 0.242099151015282f, - 0.937664687633514f, 0.241763532161713f, 0.937849998474121f, - 0.241427779197693f, - 0.938035070896149f, 0.241091892123222f, 0.938219845294952f, - 0.240755841135979f, - 0.938404381275177f, 0.240419670939446f, 0.938588619232178f, - 0.240083336830139f, - 0.938772618770599f, 0.239746883511543f, 0.938956379890442f, - 0.239410281181335f, - 0.939139902591705f, 0.239073529839516f, 0.939323127269745f, - 0.238736644387245f, - 0.939506113529205f, 0.238399609923363f, 0.939688861370087f, - 0.238062441349030f, - 0.939871311187744f, 0.237725138664246f, 0.940053522586823f, - 0.237387686967850f, - 0.940235435962677f, 0.237050101161003f, 0.940417110919952f, - 0.236712381243706f, - 0.940598547458649f, 0.236374512314796f, 0.940779745578766f, - 0.236036509275436f, - 0.940960645675659f, 0.235698372125626f, 0.941141307353973f, - 0.235360085964203f, - 0.941321671009064f, 0.235021665692329f, 0.941501796245575f, - 0.234683111310005f, - 0.941681683063507f, 0.234344407916069f, 0.941861271858215f, - 0.234005570411682f, - 0.942040622234344f, 0.233666598796844f, 0.942219734191895f, - 0.233327493071556f, - 0.942398548126221f, 0.232988253235817f, 0.942577123641968f, - 0.232648864388466f, - 0.942755401134491f, 0.232309341430664f, 0.942933499813080f, - 0.231969684362412f, - 0.943111240863800f, 0.231629893183708f, 0.943288803100586f, - 0.231289967894554f, - 0.943466067314148f, 0.230949893593788f, 0.943643093109131f, - 0.230609700083733f, - 0.943819820880890f, 0.230269357562065f, 0.943996310234070f, - 0.229928880929947f, - 0.944172501564026f, 0.229588270187378f, 0.944348454475403f, - 0.229247525334358f, - 0.944524168968201f, 0.228906646370888f, 0.944699645042419f, - 0.228565633296967f, - 0.944874763488770f, 0.228224486112595f, 0.945049703121185f, - 0.227883204817772f, - 0.945224344730377f, 0.227541789412498f, 0.945398747920990f, - 0.227200239896774f, - 0.945572853088379f, 0.226858556270599f, 0.945746779441834f, - 0.226516738533974f, - 0.945920348167419f, 0.226174786686897f, 0.946093678474426f, - 0.225832715630531f, - 0.946266770362854f, 0.225490495562553f, 0.946439623832703f, - 0.225148141384125f, - 0.946612179279327f, 0.224805667996407f, 0.946784436702728f, - 0.224463045597076f, - 0.946956455707550f, 0.224120303988457f, 0.947128236293793f, - 0.223777428269386f, - 0.947299718856812f, 0.223434418439865f, 0.947470963001251f, - 0.223091274499893f, - 0.947641968727112f, 0.222748011350632f, 0.947812676429749f, - 0.222404599189758f, - 0.947983145713806f, 0.222061067819595f, 0.948153316974640f, - 0.221717402338982f, - 0.948323249816895f, 0.221373617649078f, 0.948492884635925f, - 0.221029683947563f, - 0.948662281036377f, 0.220685631036758f, 0.948831439018250f, - 0.220341444015503f, - 0.949000298976898f, 0.219997137784958f, 0.949168920516968f, - 0.219652697443962f, - 0.949337244033813f, 0.219308122992516f, 0.949505329132080f, - 0.218963414430618f, - 0.949673116207123f, 0.218618586659431f, 0.949840664863586f, - 0.218273624777794f, - 0.950007975101471f, 0.217928543686867f, 0.950174987316132f, - 0.217583328485489f, - 0.950341701507568f, 0.217237979173660f, 0.950508177280426f, - 0.216892510652542f, - 0.950674414634705f, 0.216546908020973f, 0.950840353965759f, - 0.216201186180115f, - 0.951006054878235f, 0.215855330228806f, 0.951171517372131f, - 0.215509355068207f, - 0.951336681842804f, 0.215163245797157f, 0.951501548290253f, - 0.214817002415657f, - 0.951666176319122f, 0.214470639824867f, 0.951830565929413f, - 0.214124158024788f, - 0.951994657516479f, 0.213777542114258f, 0.952158451080322f, - 0.213430806994438f, - 0.952322065830231f, 0.213083937764168f, 0.952485322952271f, - 0.212736949324608f, - 0.952648401260376f, 0.212389841675758f, 0.952811121940613f, - 0.212042599916458f, - 0.952973663806915f, 0.211695238947868f, 0.953135907649994f, - 0.211347743868828f, - 0.953297853469849f, 0.211000129580498f, 0.953459560871124f, - 0.210652396082878f, - 0.953620970249176f, 0.210304543375969f, 0.953782141208649f, - 0.209956556558609f, - 0.953943073749542f, 0.209608450531960f, 0.954103708267212f, - 0.209260210394859f, - 0.954264044761658f, 0.208911851048470f, 0.954424142837524f, - 0.208563387393951f, - 0.954584002494812f, 0.208214774727821f, 0.954743564128876f, - 0.207866057753563f, - 0.954902827739716f, 0.207517206668854f, 0.955061912536621f, - 0.207168251276016f, - 0.955220639705658f, 0.206819161772728f, 0.955379128456116f, - 0.206469938158989f, - 0.955537378787994f, 0.206120610237122f, 0.955695331096649f, - 0.205771163105965f, - 0.955853044986725f, 0.205421581864357f, 0.956010460853577f, - 0.205071896314621f, - 0.956167578697205f, 0.204722076654434f, 0.956324458122253f, - 0.204372137784958f, - 0.956481099128723f, 0.204022079706192f, 0.956637442111969f, - 0.203671902418137f, - 0.956793546676636f, 0.203321605920792f, 0.956949353218079f, - 0.202971190214157f, - 0.957104861736298f, 0.202620655298233f, 0.957260131835938f, - 0.202270001173019f, - 0.957415163516998f, 0.201919227838516f, 0.957569897174835f, - 0.201568335294724f, - 0.957724332809448f, 0.201217323541641f, 0.957878530025482f, - 0.200866192579269f, - 0.958032488822937f, 0.200514942407608f, 0.958186149597168f, - 0.200163587927818f, - 0.958339512348175f, 0.199812099337578f, 0.958492636680603f, - 0.199460506439209f, - 0.958645522594452f, 0.199108779430389f, 0.958798050880432f, - 0.198756948113441f, - 0.958950400352478f, 0.198404997587204f, 0.959102451801300f, - 0.198052927851677f, - 0.959254205226898f, 0.197700738906860f, 0.959405720233917f, - 0.197348430752754f, - 0.959556937217712f, 0.196996018290520f, 0.959707856178284f, - 0.196643486618996f, - 0.959858596324921f, 0.196290835738182f, 0.960008978843689f, - 0.195938065648079f, - 0.960159122943878f, 0.195585191249847f, 0.960309028625488f, - 0.195232197642326f, - 0.960458636283875f, 0.194879084825516f, 0.960607945919037f, - 0.194525867700577f, - 0.960757017135620f, 0.194172516465187f, 0.960905790328979f, - 0.193819075822830f, - 0.961054325103760f, 0.193465501070023f, 0.961202561855316f, - 0.193111822009087f, - 0.961350560188293f, 0.192758023738861f, 0.961498260498047f, - 0.192404121160507f, - 0.961645722389221f, 0.192050099372864f, 0.961792886257172f, - 0.191695958375931f, - 0.961939752101898f, 0.191341713070869f, 0.962086379528046f, - 0.190987363457680f, - 0.962232708930969f, 0.190632879734039f, 0.962378799915314f, - 0.190278306603432f, - 0.962524592876434f, 0.189923599362373f, 0.962670147418976f, - 0.189568802714348f, - 0.962815403938293f, 0.189213871955872f, 0.962960422039032f, - 0.188858851790428f, - 0.963105142116547f, 0.188503712415695f, 0.963249564170837f, - 0.188148453831673f, - 0.963393747806549f, 0.187793090939522f, 0.963537633419037f, - 0.187437608838081f, - 0.963681280612946f, 0.187082037329674f, 0.963824629783630f, - 0.186726331710815f, - 0.963967680931091f, 0.186370536684990f, 0.964110493659973f, - 0.186014622449875f, - 0.964253067970276f, 0.185658603906631f, 0.964395284652710f, - 0.185302466154099f, - 0.964537262916565f, 0.184946224093437f, 0.964679002761841f, - 0.184589877724648f, - 0.964820444583893f, 0.184233412146568f, 0.964961588382721f, - 0.183876842260361f, - 0.965102493762970f, 0.183520168066025f, 0.965243160724640f, - 0.183163389563560f, - 0.965383470058441f, 0.182806491851807f, 0.965523540973663f, - 0.182449504733086f, - 0.965663373470306f, 0.182092398405075f, 0.965802907943726f, - 0.181735187768936f, - 0.965942144393921f, 0.181377857923508f, 0.966081082820892f, - 0.181020438671112f, - 0.966219842433929f, 0.180662900209427f, 0.966358244419098f, - 0.180305257439613f, - 0.966496407985687f, 0.179947525262833f, 0.966634273529053f, - 0.179589673876762f, - 0.966771900653839f, 0.179231703281403f, 0.966909229755402f, - 0.178873643279076f, - 0.967046260833740f, 0.178515478968620f, 0.967183053493500f, - 0.178157210350037f, - 0.967319548130035f, 0.177798837423325f, 0.967455804347992f, - 0.177440345287323f, - 0.967591762542725f, 0.177081763744354f, 0.967727422714233f, - 0.176723077893257f, - 0.967862844467163f, 0.176364272832870f, 0.967997968196869f, - 0.176005378365517f, - 0.968132853507996f, 0.175646379590034f, 0.968267440795898f, - 0.175287276506424f, - 0.968401730060577f, 0.174928069114685f, 0.968535780906677f, - 0.174568757414818f, - 0.968669533729553f, 0.174209341406822f, 0.968802988529205f, - 0.173849821090698f, - 0.968936204910278f, 0.173490211367607f, 0.969069123268127f, - 0.173130482435226f, - 0.969201743602753f, 0.172770664095879f, 0.969334125518799f, - 0.172410741448402f, - 0.969466269016266f, 0.172050714492798f, 0.969598054885864f, - 0.171690583229065f, - 0.969729602336884f, 0.171330362558365f, 0.969860911369324f, - 0.170970037579536f, - 0.969991862773895f, 0.170609608292580f, 0.970122575759888f, - 0.170249074697495f, - 0.970253050327301f, 0.169888436794281f, 0.970383226871490f, - 0.169527709484100f, - 0.970513105392456f, 0.169166877865791f, 0.970642685890198f, - 0.168805956840515f, - 0.970772027969360f, 0.168444931507111f, 0.970901072025299f, - 0.168083801865578f, - 0.971029877662659f, 0.167722567915916f, 0.971158385276794f, - 0.167361244559288f, - 0.971286594867706f, 0.166999831795692f, 0.971414566040039f, - 0.166638299822807f, - 0.971542239189148f, 0.166276678442955f, 0.971669614315033f, - 0.165914967656136f, - 0.971796751022339f, 0.165553152561188f, 0.971923589706421f, - 0.165191248059273f, - 0.972050130367279f, 0.164829224348068f, 0.972176432609558f, - 0.164467126131058f, - 0.972302436828613f, 0.164104923605919f, 0.972428143024445f, - 0.163742616772652f, - 0.972553610801697f, 0.163380220532417f, 0.972678780555725f, - 0.163017734885216f, - 0.972803652286530f, 0.162655144929886f, 0.972928285598755f, - 0.162292465567589f, - 0.973052620887756f, 0.161929681897163f, 0.973176658153534f, - 0.161566808819771f, - 0.973300457000732f, 0.161203846335411f, 0.973423957824707f, - 0.160840779542923f, - 0.973547160625458f, 0.160477623343468f, 0.973670125007629f, - 0.160114362835884f, - 0.973792791366577f, 0.159751012921333f, 0.973915159702301f, - 0.159387573599815f, - 0.974037289619446f, 0.159024044871330f, 0.974159121513367f, - 0.158660411834717f, - 0.974280655384064f, 0.158296689391136f, 0.974401950836182f, - 0.157932877540588f, - 0.974522948265076f, 0.157568961381912f, 0.974643647670746f, - 0.157204970717430f, - 0.974764108657837f, 0.156840875744820f, 0.974884271621704f, - 0.156476691365242f, - 0.975004136562347f, 0.156112402677536f, 0.975123703479767f, - 0.155748039484024f, - 0.975243031978607f, 0.155383571982384f, 0.975362062454224f, - 0.155019029974937f, - 0.975480854511261f, 0.154654383659363f, 0.975599288940430f, - 0.154289647936821f, - 0.975717484951019f, 0.153924822807312f, 0.975835442543030f, - 0.153559908270836f, - 0.975953042507172f, 0.153194904327393f, 0.976070404052734f, - 0.152829796075821f, - 0.976187527179718f, 0.152464613318443f, 0.976304292678833f, - 0.152099341154099f, - 0.976420819759369f, 0.151733979582787f, 0.976537048816681f, - 0.151368513703346f, - 0.976653039455414f, 0.151002973318100f, 0.976768672466278f, - 0.150637343525887f, - 0.976884067058563f, 0.150271624326706f, 0.976999223232269f, - 0.149905815720558f, - 0.977114021778107f, 0.149539917707443f, 0.977228581905365f, - 0.149173930287361f, - 0.977342903614044f, 0.148807853460312f, 0.977456867694855f, - 0.148441687226295f, - 0.977570593357086f, 0.148075446486473f, 0.977684020996094f, - 0.147709101438522f, - 0.977797150611877f, 0.147342681884766f, 0.977910041809082f, - 0.146976172924042f, - 0.978022634983063f, 0.146609574556351f, 0.978134930133820f, - 0.146242901682854f, - 0.978246986865997f, 0.145876124501228f, 0.978358685970306f, - 0.145509272813797f, - 0.978470146656036f, 0.145142331719399f, 0.978581368923187f, - 0.144775316119194f, - 0.978692233562469f, 0.144408211112022f, 0.978802859783173f, - 0.144041016697884f, - 0.978913187980652f, 0.143673732876778f, 0.979023277759552f, - 0.143306359648705f, - 0.979133009910584f, 0.142938911914825f, 0.979242503643036f, - 0.142571389675140f, - 0.979351758956909f, 0.142203763127327f, 0.979460656642914f, - 0.141836062073708f, - 0.979569315910339f, 0.141468286514282f, 0.979677677154541f, - 0.141100421547890f, - 0.979785740375519f, 0.140732467174530f, 0.979893565177917f, - 0.140364438295364f, - 0.980001091957092f, 0.139996320009232f, 0.980108320713043f, - 0.139628127217293f, - 0.980215251445770f, 0.139259845018387f, 0.980321943759918f, - 0.138891488313675f, - 0.980428338050842f, 0.138523042201996f, 0.980534434318542f, - 0.138154521584511f, - 0.980640232563019f, 0.137785911560059f, 0.980745792388916f, - 0.137417227029800f, - 0.980851054191589f, 0.137048453092575f, 0.980956017971039f, - 0.136679604649544f, - 0.981060683727264f, 0.136310681700706f, 0.981165111064911f, - 0.135941669344902f, - 0.981269240379334f, 0.135572582483292f, 0.981373071670532f, - 0.135203406214714f, - 0.981476604938507f, 0.134834155440331f, 0.981579899787903f, - 0.134464830160141f, - 0.981682896614075f, 0.134095430374146f, 0.981785595417023f, - 0.133725941181183f, - 0.981888055801392f, 0.133356377482414f, 0.981990158557892f, - 0.132986739277840f, - 0.982092022895813f, 0.132617011666298f, 0.982193589210510f, - 0.132247209548950f, - 0.982294917106628f, 0.131877332925797f, 0.982395887374878f, - 0.131507381796837f, - 0.982496619224548f, 0.131137356162071f, 0.982597053050995f, - 0.130767241120338f, - 0.982697248458862f, 0.130397051572800f, 0.982797086238861f, - 0.130026802420616f, - 0.982896685600281f, 0.129656463861465f, 0.982995986938477f, - 0.129286035895348f, - 0.983094990253448f, 0.128915548324585f, 0.983193755149841f, - 0.128544986248016f, - 0.983292162418365f, 0.128174334764481f, 0.983390331268311f, - 0.127803623676300f, - 0.983488261699677f, 0.127432823181152f, 0.983585834503174f, - 0.127061963081360f, - 0.983683168888092f, 0.126691013574600f, 0.983780145645142f, - 0.126320004463196f, - 0.983876943588257f, 0.125948905944824f, 0.983973383903503f, - 0.125577747821808f, - 0.984069526195526f, 0.125206500291824f, 0.984165430068970f, - 0.124835193157196f, - 0.984261035919189f, 0.124463804066181f, 0.984356343746185f, - 0.124092340469360f, - 0.984451413154602f, 0.123720809817314f, 0.984546124935150f, - 0.123349204659462f, - 0.984640598297119f, 0.122977524995804f, 0.984734773635864f, - 0.122605770826340f, - 0.984828710556030f, 0.122233949601650f, 0.984922289848328f, - 0.121862053871155f, - 0.985015630722046f, 0.121490091085434f, 0.985108673572540f, - 0.121118053793907f, - 0.985201418399811f, 0.120745941996574f, 0.985293865203857f, - 0.120373763144016f, - 0.985386073589325f, 0.120001509785652f, 0.985477983951569f, - 0.119629189372063f, - 0.985569596290588f, 0.119256794452667f, 0.985660910606384f, - 0.118884332478046f, - 0.985751926898956f, 0.118511803448200f, 0.985842704772949f, - 0.118139199912548f, - 0.985933184623718f, 0.117766529321671f, 0.986023366451263f, - 0.117393791675568f, - 0.986113250255585f, 0.117020979523659f, 0.986202836036682f, - 0.116648100316525f, - 0.986292183399200f, 0.116275154054165f, 0.986381232738495f, - 0.115902140736580f, - 0.986469984054565f, 0.115529052913189f, 0.986558437347412f, - 0.115155905485153f, - 0.986646652221680f, 0.114782683551311f, 0.986734509468079f, - 0.114409394562244f, - 0.986822128295898f, 0.114036038517952f, 0.986909449100494f, - 0.113662622869015f, - 0.986996471881866f, 0.113289132714272f, 0.987083256244659f, - 0.112915575504303f, - 0.987169682979584f, 0.112541958689690f, 0.987255871295929f, - 0.112168267369270f, - 0.987341761589050f, 0.111794516444206f, 0.987427353858948f, - 0.111420698463917f, - 0.987512648105621f, 0.111046813428402f, 0.987597703933716f, - 0.110672861337662f, - 0.987682461738586f, 0.110298842191696f, 0.987766921520233f, - 0.109924763441086f, - 0.987851083278656f, 0.109550617635250f, 0.987934947013855f, - 0.109176412224770f, - 0.988018512725830f, 0.108802139759064f, 0.988101840019226f, - 0.108427800238132f, - 0.988184869289398f, 0.108053401112556f, 0.988267600536346f, - 0.107678934931755f, - 0.988350033760071f, 0.107304409146309f, 0.988432228565216f, - 0.106929816305637f, - 0.988514065742493f, 0.106555156409740f, 0.988595664501190f, - 0.106180444359779f, - 0.988676965236664f, 0.105805665254593f, 0.988757967948914f, - 0.105430819094181f, - 0.988838672637939f, 0.105055920779705f, 0.988919138908386f, - 0.104680955410004f, - 0.988999247550964f, 0.104305922985077f, 0.989079117774963f, - 0.103930838406086f, - 0.989158689975739f, 0.103555686771870f, 0.989237964153290f, - 0.103180475533009f, - 0.989316940307617f, 0.102805204689503f, 0.989395678043365f, - 0.102429874241352f, - 0.989474058151245f, 0.102054484188557f, 0.989552199840546f, - 0.101679034531116f, - 0.989630043506622f, 0.101303517818451f, 0.989707589149475f, - 0.100927948951721f, - 0.989784896373749f, 0.100552320480347f, 0.989861845970154f, - 0.100176624953747f, - 0.989938557147980f, 0.099800877273083f, 0.990014970302582f, - 0.099425069987774f, - 0.990091085433960f, 0.099049203097820f, 0.990166902542114f, - 0.098673284053802f, - 0.990242421627045f, 0.098297297954559f, 0.990317702293396f, - 0.097921259701252f, - 0.990392625331879f, 0.097545161843300f, 0.990467309951782f, - 0.097169004380703f, - 0.990541696548462f, 0.096792794764042f, 0.990615785121918f, - 0.096416525542736f, - 0.990689575672150f, 0.096040196716785f, 0.990763127803802f, - 0.095663815736771f, - 0.990836322307587f, 0.095287375152111f, 0.990909278392792f, - 0.094910882413387f, - 0.990981936454773f, 0.094534330070019f, 0.991054296493530f, - 0.094157725572586f, - 0.991126358509064f, 0.093781061470509f, 0.991198182106018f, - 0.093404345214367f, - 0.991269648075104f, 0.093027576804161f, 0.991340875625610f, - 0.092650748789310f, - 0.991411805152893f, 0.092273868620396f, 0.991482377052307f, - 0.091896936297417f, - 0.991552770137787f, 0.091519944369793f, 0.991622805595398f, - 0.091142900288105f, - 0.991692543029785f, 0.090765804052353f, 0.991762042045593f, - 0.090388655662537f, - 0.991831183433533f, 0.090011447668076f, 0.991900086402893f, - 0.089634194970131f, - 0.991968691349030f, 0.089256882667542f, 0.992036998271942f, - 0.088879525661469f, - 0.992105066776276f, 0.088502109050751f, 0.992172777652740f, - 0.088124647736549f, - 0.992240250110626f, 0.087747126817703f, 0.992307364940643f, - 0.087369553744793f, - 0.992374241352081f, 0.086991935968399f, 0.992440819740295f, - 0.086614266037941f, - 0.992507100105286f, 0.086236543953419f, 0.992573142051697f, - 0.085858769714832f, - 0.992638826370239f, 0.085480943322182f, 0.992704212665558f, - 0.085103072226048f, - 0.992769360542297f, 0.084725148975849f, 0.992834210395813f, - 0.084347173571587f, - 0.992898762226105f, 0.083969146013260f, 0.992963016033173f, - 0.083591073751450f, - 0.993026971817017f, 0.083212949335575f, 0.993090689182281f, - 0.082834780216217f, - 0.993154048919678f, 0.082456558942795f, 0.993217170238495f, - 0.082078292965889f, - 0.993279933929443f, 0.081699974834919f, 0.993342459201813f, - 0.081321612000465f, - 0.993404686450958f, 0.080943197011948f, 0.993466615676880f, - 0.080564737319946f, - 0.993528306484222f, 0.080186225473881f, 0.993589639663696f, - 0.079807676374912f, - 0.993650734424591f, 0.079429075121880f, 0.993711471557617f, - 0.079050421714783f, - 0.993771970272064f, 0.078671731054783f, 0.993832170963287f, - 0.078292988240719f, - 0.993892073631287f, 0.077914200723171f, 0.993951678276062f, - 0.077535368502140f, - 0.994010984897614f, 0.077156484127045f, 0.994070053100586f, - 0.076777562499046f, - 0.994128763675690f, 0.076398596167564f, 0.994187235832214f, - 0.076019577682018f, - 0.994245409965515f, 0.075640521943569f, 0.994303286075592f, - 0.075261414051056f, - 0.994360864162445f, 0.074882268905640f, 0.994418144226074f, - 0.074503071606159f, - 0.994475126266479f, 0.074123837053776f, 0.994531810283661f, - 0.073744557797909f, - 0.994588255882263f, 0.073365233838558f, 0.994644403457642f, - 0.072985872626305f, - 0.994700193405151f, 0.072606459259987f, 0.994755744934082f, - 0.072227008640766f, - 0.994810998439789f, 0.071847513318062f, 0.994865953922272f, - 0.071467980742455f, - 0.994920611381531f, 0.071088403463364f, 0.994975030422211f, - 0.070708781480789f, - 0.995029091835022f, 0.070329122245312f, 0.995082914829254f, - 0.069949418306351f, - 0.995136380195618f, 0.069569669663906f, 0.995189607143402f, - 0.069189883768559f, - 0.995242536067963f, 0.068810060620308f, 0.995295166969299f, - 0.068430192768574f, - 0.995347499847412f, 0.068050287663937f, 0.995399534702301f, - 0.067670337855816f, - 0.995451331138611f, 0.067290350794792f, 0.995502769947052f, - 0.066910326480865f, - 0.995553970336914f, 0.066530264914036f, 0.995604813098907f, - 0.066150158643723f, - 0.995655417442322f, 0.065770015120506f, 0.995705723762512f, - 0.065389834344387f, - 0.995755732059479f, 0.065009608864784f, 0.995805442333221f, - 0.064629353582859f, - 0.995854854583740f, 0.064249053597450f, 0.995904028415680f, - 0.063868723809719f, - 0.995952844619751f, 0.063488349318504f, 0.996001422405243f, - 0.063107937574387f, - 0.996049642562866f, 0.062727488577366f, 0.996097624301910f, - 0.062347009778023f, - 0.996145308017731f, 0.061966486275196f, 0.996192693710327f, - 0.061585929244757f, - 0.996239781379700f, 0.061205338686705f, 0.996286571025848f, - 0.060824707150459f, - 0.996333062648773f, 0.060444042086601f, 0.996379256248474f, - 0.060063343495131f, - 0.996425211429596f, 0.059682607650757f, 0.996470808982849f, - 0.059301838278770f, - 0.996516168117523f, 0.058921031653881f, 0.996561229228973f, - 0.058540191501379f, - 0.996605992317200f, 0.058159314095974f, 0.996650457382202f, - 0.057778406888247f, - 0.996694624423981f, 0.057397462427616f, 0.996738493442535f, - 0.057016488164663f, - 0.996782064437866f, 0.056635476648808f, 0.996825337409973f, - 0.056254431605339f, - 0.996868371963501f, 0.055873356759548f, 0.996911048889160f, - 0.055492244660854f, - 0.996953487396240f, 0.055111102759838f, 0.996995627880096f, - 0.054729927331209f, - 0.997037410736084f, 0.054348722100258f, 0.997078955173492f, - 0.053967483341694f, - 0.997120201587677f, 0.053586211055517f, 0.997161149978638f, - 0.053204908967018f, - 0.997201859951019f, 0.052823577076197f, 0.997242212295532f, - 0.052442211657763f, - 0.997282266616821f, 0.052060816437006f, 0.997322082519531f, - 0.051679391413927f, - 0.997361540794373f, 0.051297932863235f, 0.997400760650635f, - 0.050916448235512f, - 0.997439682483673f, 0.050534930080175f, 0.997478306293488f, - 0.050153385847807f, - 0.997516572475433f, 0.049771808087826f, 0.997554600238800f, - 0.049390204250813f, - 0.997592389583588f, 0.049008570611477f, 0.997629821300507f, - 0.048626907169819f, - 0.997666954994202f, 0.048245213925838f, 0.997703790664673f, - 0.047863494604826f, - 0.997740387916565f, 0.047481749206781f, 0.997776627540588f, - 0.047099970281124f, - 0.997812628746033f, 0.046718169003725f, 0.997848331928253f, - 0.046336337924004f, - 0.997883677482605f, 0.045954477041960f, 0.997918784618378f, - 0.045572593808174f, - 0.997953593730927f, 0.045190680772066f, 0.997988104820251f, - 0.044808741658926f, - 0.998022377490997f, 0.044426776468754f, 0.998056292533875f, - 0.044044785201550f, - 0.998089909553528f, 0.043662767857313f, 0.998123228549957f, - 0.043280724436045f, - 0.998156309127808f, 0.042898654937744f, 0.998189091682434f, - 0.042516563087702f, - 0.998221516609192f, 0.042134445160627f, 0.998253703117371f, - 0.041752301156521f, - 0.998285591602325f, 0.041370131075382f, 0.998317182064056f, - 0.040987938642502f, - 0.998348474502563f, 0.040605723857880f, 0.998379468917847f, - 0.040223482996225f, - 0.998410165309906f, 0.039841219782829f, 0.998440563678741f, - 0.039458930492401f, - 0.998470664024353f, 0.039076622575521f, 0.998500525951386f, - 0.038694288581610f, - 0.998530030250549f, 0.038311932235956f, 0.998559296131134f, - 0.037929553538561f, - 0.998588204383850f, 0.037547148764133f, 0.998616874217987f, - 0.037164725363255f, - 0.998645246028900f, 0.036782283335924f, 0.998673319816589f, - 0.036399815231562f, - 0.998701035976410f, 0.036017324775457f, 0.998728513717651f, - 0.035634815692902f, - 0.998755753040314f, 0.035252287983894f, 0.998782634735107f, - 0.034869734197855f, - 0.998809218406677f, 0.034487165510654f, 0.998835504055023f, - 0.034104570746422f, - 0.998861551284790f, 0.033721961081028f, 0.998887240886688f, - 0.033339329063892f, - 0.998912692070007f, 0.032956674695015f, 0.998937785625458f, - 0.032574005424976f, - 0.998962640762329f, 0.032191313803196f, 0.998987197875977f, - 0.031808607280254f, - 0.999011456966400f, 0.031425878405571f, 0.999035418033600f, - 0.031043132767081f, - 0.999059081077576f, 0.030660368502140f, 0.999082446098328f, - 0.030277585610747f, - 0.999105513095856f, 0.029894785955548f, 0.999128282070160f, - 0.029511967673898f, - 0.999150753021240f, 0.029129132628441f, 0.999172985553741f, - 0.028746278956532f, - 0.999194860458374f, 0.028363410383463f, 0.999216496944427f, - 0.027980525046587f, - 0.999237775802612f, 0.027597622945905f, 0.999258816242218f, - 0.027214704081416f, - 0.999279558658600f, 0.026831768453121f, 0.999299943447113f, - 0.026448817923665f, - 0.999320089817047f, 0.026065852493048f, 0.999339938163757f, - 0.025682870298624f, - 0.999359488487244f, 0.025299875065684f, 0.999378740787506f, - 0.024916863068938f, - 0.999397754669189f, 0.024533838033676f, 0.999416410923004f, - 0.024150796234608f, - 0.999434769153595f, 0.023767741397023f, 0.999452829360962f, - 0.023384673520923f, - 0.999470651149750f, 0.023001590743661f, 0.999488115310669f, - 0.022618494927883f, - 0.999505341053009f, 0.022235386073589f, 0.999522268772125f, - 0.021852264180779f, - 0.999538838863373f, 0.021469129249454f, 0.999555170536041f, - 0.021085981279612f, - 0.999571204185486f, 0.020702820271254f, 0.999586939811707f, - 0.020319648087025f, - 0.999602377414703f, 0.019936462864280f, 0.999617516994476f, - 0.019553268328309f, - 0.999632358551025f, 0.019170060753822f, 0.999646902084351f, - 0.018786842003465f, - 0.999661207199097f, 0.018403612077236f, 0.999675154685974f, - 0.018020370975137f, - 0.999688863754272f, 0.017637118697166f, 0.999702215194702f, - 0.017253857105970f, - 0.999715328216553f, 0.016870586201549f, 0.999728083610535f, - 0.016487304121256f, - 0.999740600585938f, 0.016104012727737f, 0.999752819538116f, - 0.015720712020993f, - 0.999764680862427f, 0.015337402001023f, 0.999776303768158f, - 0.014954082667828f, - 0.999787628650665f, 0.014570754021406f, 0.999798655509949f, - 0.014187417924404f, - 0.999809384346008f, 0.013804072514176f, 0.999819874763489f, - 0.013420719653368f, - 0.999830007553101f, 0.013037359341979f, 0.999839842319489f, - 0.012653990648687f, - 0.999849438667297f, 0.012270614504814f, 0.999858677387238f, - 0.011887230910361f, - 0.999867618083954f, 0.011503840796649f, 0.999876320362091f, - 0.011120444163680f, - 0.999884724617004f, 0.010737040080130f, 0.999892771244049f, - 0.010353630408645f, - 0.999900579452515f, 0.009970214217901f, 0.999908089637756f, - 0.009586792439222f, - 0.999915301799774f, 0.009203365072608f, 0.999922215938568f, - 0.008819932118058f, - 0.999928832054138f, 0.008436493575573f, 0.999935150146484f, - 0.008053051307797f, - 0.999941170215607f, 0.007669602986425f, 0.999946892261505f, - 0.007286150939763f, - 0.999952375888824f, 0.006902694236487f, 0.999957501888275f, - 0.006519233807921f, - 0.999962329864502f, 0.006135769188404f, 0.999966919422150f, - 0.005752300843596f, - 0.999971151351929f, 0.005368829704821f, 0.999975144863129f, - 0.004985354840755f, - 0.999978840351105f, 0.004601877182722f, 0.999982178211212f, - 0.004218397196382f, - 0.999985277652740f, 0.003834914416075f, 0.999988079071045f, - 0.003451429307461f, - 0.999990582466125f, 0.003067942336202f, 0.999992787837982f, - 0.002684453502297f, - 0.999994695186615f, 0.002300963038579f, 0.999996304512024f, - 0.001917471294291f, - 0.999997675418854f, 0.001533978385851f, 0.999998688697815f, - 0.001150484546088f, - 0.999999403953552f, 0.000766990066040f, 0.999999880790710f, - 0.000383495149435f, - 1.000000000000000f, 0.000000000000023f, 0.999999880790710f, - -0.000383495149435f, - 0.999999403953552f, -0.000766990066040f, 0.999998688697815f, - -0.001150484546088f, - 0.999997675418854f, -0.001533978385851f, 0.999996304512024f, - -0.001917471294291f, - 0.999994695186615f, -0.002300963038579f, 0.999992787837982f, - -0.002684453502297f, - 0.999990582466125f, -0.003067942336202f, 0.999988079071045f, - -0.003451429307461f, - 0.999985277652740f, -0.003834914416075f, 0.999982178211212f, - -0.004218397196382f, - 0.999978840351105f, -0.004601877182722f, 0.999975144863129f, - -0.004985354840755f, - 0.999971151351929f, -0.005368829704821f, 0.999966919422150f, - -0.005752300843596f, - 0.999962329864502f, -0.006135769188404f, 0.999957501888275f, - -0.006519233807921f, - 0.999952375888824f, -0.006902694236487f, 0.999946892261505f, - -0.007286150939763f, - 0.999941170215607f, -0.007669602986425f, 0.999935150146484f, - -0.008053051307797f, - 0.999928832054138f, -0.008436493575573f, 0.999922215938568f, - -0.008819932118058f, - 0.999915301799774f, -0.009203365072608f, 0.999908089637756f, - -0.009586792439222f, - 0.999900579452515f, -0.009970214217901f, 0.999892771244049f, - -0.010353630408645f, - 0.999884724617004f, -0.010737040080130f, 0.999876320362091f, - -0.011120444163680f, - 0.999867618083954f, -0.011503840796649f, 0.999858677387238f, - -0.011887230910361f, - 0.999849438667297f, -0.012270614504814f, 0.999839842319489f, - -0.012653990648687f, - 0.999830007553101f, -0.013037359341979f, 0.999819874763489f, - -0.013420719653368f, - 0.999809384346008f, -0.013804072514176f, 0.999798655509949f, - -0.014187417924404f, - 0.999787628650665f, -0.014570754021406f, 0.999776303768158f, - -0.014954082667828f, - 0.999764680862427f, -0.015337402001023f, 0.999752819538116f, - -0.015720712020993f, - 0.999740600585938f, -0.016104012727737f, 0.999728083610535f, - -0.016487304121256f, - 0.999715328216553f, -0.016870586201549f, 0.999702215194702f, - -0.017253857105970f, - 0.999688863754272f, -0.017637118697166f, 0.999675154685974f, - -0.018020370975137f, - 0.999661207199097f, -0.018403612077236f, 0.999646902084351f, - -0.018786842003465f, - 0.999632358551025f, -0.019170060753822f, 0.999617516994476f, - -0.019553268328309f, - 0.999602377414703f, -0.019936462864280f, 0.999586939811707f, - -0.020319648087025f, - 0.999571204185486f, -0.020702820271254f, 0.999555170536041f, - -0.021085981279612f, - 0.999538838863373f, -0.021469129249454f, 0.999522268772125f, - -0.021852264180779f, - 0.999505341053009f, -0.022235386073589f, 0.999488115310669f, - -0.022618494927883f, - 0.999470651149750f, -0.023001590743661f, 0.999452829360962f, - -0.023384673520923f, - 0.999434769153595f, -0.023767741397023f, 0.999416410923004f, - -0.024150796234608f, - 0.999397754669189f, -0.024533838033676f, 0.999378740787506f, - -0.024916863068938f, - 0.999359488487244f, -0.025299875065684f, 0.999339938163757f, - -0.025682870298624f, - 0.999320089817047f, -0.026065852493048f, 0.999299943447113f, - -0.026448817923665f, - 0.999279558658600f, -0.026831768453121f, 0.999258816242218f, - -0.027214704081416f, - 0.999237775802612f, -0.027597622945905f, 0.999216496944427f, - -0.027980525046587f, - 0.999194860458374f, -0.028363410383463f, 0.999172985553741f, - -0.028746278956532f, - 0.999150753021240f, -0.029129132628441f, 0.999128282070160f, - -0.029511967673898f, - 0.999105513095856f, -0.029894785955548f, 0.999082446098328f, - -0.030277585610747f, - 0.999059081077576f, -0.030660368502140f, 0.999035418033600f, - -0.031043132767081f, - 0.999011456966400f, -0.031425878405571f, 0.998987197875977f, - -0.031808607280254f, - 0.998962640762329f, -0.032191313803196f, 0.998937785625458f, - -0.032574005424976f, - 0.998912692070007f, -0.032956674695015f, 0.998887240886688f, - -0.033339329063892f, - 0.998861551284790f, -0.033721961081028f, 0.998835504055023f, - -0.034104570746422f, - 0.998809218406677f, -0.034487165510654f, 0.998782634735107f, - -0.034869734197855f, - 0.998755753040314f, -0.035252287983894f, 0.998728513717651f, - -0.035634815692902f, - 0.998701035976410f, -0.036017324775457f, 0.998673319816589f, - -0.036399815231562f, - 0.998645246028900f, -0.036782283335924f, 0.998616874217987f, - -0.037164725363255f, - 0.998588204383850f, -0.037547148764133f, 0.998559296131134f, - -0.037929553538561f, - 0.998530030250549f, -0.038311932235956f, 0.998500525951386f, - -0.038694288581610f, - 0.998470664024353f, -0.039076622575521f, 0.998440563678741f, - -0.039458930492401f, - 0.998410165309906f, -0.039841219782829f, 0.998379468917847f, - -0.040223482996225f, - 0.998348474502563f, -0.040605723857880f, 0.998317182064056f, - -0.040987938642502f, - 0.998285591602325f, -0.041370131075382f, 0.998253703117371f, - -0.041752301156521f, - 0.998221516609192f, -0.042134445160627f, 0.998189091682434f, - -0.042516563087702f, - 0.998156309127808f, -0.042898654937744f, 0.998123228549957f, - -0.043280724436045f, - 0.998089909553528f, -0.043662767857313f, 0.998056292533875f, - -0.044044785201550f, - 0.998022377490997f, -0.044426776468754f, 0.997988104820251f, - -0.044808741658926f, - 0.997953593730927f, -0.045190680772066f, 0.997918784618378f, - -0.045572593808174f, - 0.997883677482605f, -0.045954477041960f, 0.997848331928253f, - -0.046336337924004f, - 0.997812628746033f, -0.046718169003725f, 0.997776627540588f, - -0.047099970281124f, - 0.997740387916565f, -0.047481749206781f, 0.997703790664673f, - -0.047863494604826f, - 0.997666954994202f, -0.048245213925838f, 0.997629821300507f, - -0.048626907169819f, - 0.997592389583588f, -0.049008570611477f, 0.997554600238800f, - -0.049390204250813f, - 0.997516572475433f, -0.049771808087826f, 0.997478306293488f, - -0.050153385847807f, - 0.997439682483673f, -0.050534930080175f, 0.997400760650635f, - -0.050916448235512f, - 0.997361540794373f, -0.051297932863235f, 0.997322082519531f, - -0.051679391413927f, - 0.997282266616821f, -0.052060816437006f, 0.997242212295532f, - -0.052442211657763f, - 0.997201859951019f, -0.052823577076197f, 0.997161149978638f, - -0.053204908967018f, - 0.997120201587677f, -0.053586211055517f, 0.997078955173492f, - -0.053967483341694f, - 0.997037410736084f, -0.054348722100258f, 0.996995627880096f, - -0.054729927331209f, - 0.996953487396240f, -0.055111102759838f, 0.996911048889160f, - -0.055492244660854f, - 0.996868371963501f, -0.055873356759548f, 0.996825337409973f, - -0.056254431605339f, - 0.996782064437866f, -0.056635476648808f, 0.996738493442535f, - -0.057016488164663f, - 0.996694624423981f, -0.057397462427616f, 0.996650457382202f, - -0.057778406888247f, - 0.996605992317200f, -0.058159314095974f, 0.996561229228973f, - -0.058540191501379f, - 0.996516168117523f, -0.058921031653881f, 0.996470808982849f, - -0.059301838278770f, - 0.996425211429596f, -0.059682607650757f, 0.996379256248474f, - -0.060063343495131f, - 0.996333062648773f, -0.060444042086601f, 0.996286571025848f, - -0.060824707150459f, - 0.996239781379700f, -0.061205338686705f, 0.996192693710327f, - -0.061585929244757f, - 0.996145308017731f, -0.061966486275196f, 0.996097624301910f, - -0.062347009778023f, - 0.996049642562866f, -0.062727488577366f, 0.996001422405243f, - -0.063107937574387f, - 0.995952844619751f, -0.063488349318504f, 0.995904028415680f, - -0.063868723809719f, - 0.995854854583740f, -0.064249053597450f, 0.995805442333221f, - -0.064629353582859f, - 0.995755732059479f, -0.065009608864784f, 0.995705723762512f, - -0.065389834344387f, - 0.995655417442322f, -0.065770015120506f, 0.995604813098907f, - -0.066150158643723f, - 0.995553970336914f, -0.066530264914036f, 0.995502769947052f, - -0.066910326480865f, - 0.995451331138611f, -0.067290350794792f, 0.995399534702301f, - -0.067670337855816f, - 0.995347499847412f, -0.068050287663937f, 0.995295166969299f, - -0.068430192768574f, - 0.995242536067963f, -0.068810060620308f, 0.995189607143402f, - -0.069189883768559f, - 0.995136380195618f, -0.069569669663906f, 0.995082914829254f, - -0.069949418306351f, - 0.995029091835022f, -0.070329122245312f, 0.994975030422211f, - -0.070708781480789f, - 0.994920611381531f, -0.071088403463364f, 0.994865953922272f, - -0.071467980742455f, - 0.994810998439789f, -0.071847513318062f, 0.994755744934082f, - -0.072227008640766f, - 0.994700193405151f, -0.072606459259987f, 0.994644403457642f, - -0.072985872626305f, - 0.994588255882263f, -0.073365233838558f, 0.994531810283661f, - -0.073744557797909f, - 0.994475126266479f, -0.074123837053776f, 0.994418144226074f, - -0.074503071606159f, - 0.994360864162445f, -0.074882268905640f, 0.994303286075592f, - -0.075261414051056f, - 0.994245409965515f, -0.075640521943569f, 0.994187235832214f, - -0.076019577682018f, - 0.994128763675690f, -0.076398596167564f, 0.994070053100586f, - -0.076777562499046f, - 0.994010984897614f, -0.077156484127045f, 0.993951678276062f, - -0.077535368502140f, - 0.993892073631287f, -0.077914200723171f, 0.993832170963287f, - -0.078292988240719f, - 0.993771970272064f, -0.078671731054783f, 0.993711471557617f, - -0.079050421714783f, - 0.993650734424591f, -0.079429075121880f, 0.993589639663696f, - -0.079807676374912f, - 0.993528306484222f, -0.080186225473881f, 0.993466615676880f, - -0.080564737319946f, - 0.993404686450958f, -0.080943197011948f, 0.993342459201813f, - -0.081321612000465f, - 0.993279933929443f, -0.081699974834919f, 0.993217170238495f, - -0.082078292965889f, - 0.993154048919678f, -0.082456558942795f, 0.993090689182281f, - -0.082834780216217f, - 0.993026971817017f, -0.083212949335575f, 0.992963016033173f, - -0.083591073751450f, - 0.992898762226105f, -0.083969146013260f, 0.992834210395813f, - -0.084347173571587f, - 0.992769360542297f, -0.084725148975849f, 0.992704212665558f, - -0.085103072226048f, - 0.992638826370239f, -0.085480943322182f, 0.992573142051697f, - -0.085858769714832f, - 0.992507100105286f, -0.086236543953419f, 0.992440819740295f, - -0.086614266037941f, - 0.992374241352081f, -0.086991935968399f, 0.992307364940643f, - -0.087369553744793f, - 0.992240250110626f, -0.087747126817703f, 0.992172777652740f, - -0.088124647736549f, - 0.992105066776276f, -0.088502109050751f, 0.992036998271942f, - -0.088879525661469f, - 0.991968691349030f, -0.089256882667542f, 0.991900086402893f, - -0.089634194970131f, - 0.991831183433533f, -0.090011447668076f, 0.991762042045593f, - -0.090388655662537f, - 0.991692543029785f, -0.090765804052353f, 0.991622805595398f, - -0.091142900288105f, - 0.991552770137787f, -0.091519944369793f, 0.991482377052307f, - -0.091896936297417f, - 0.991411805152893f, -0.092273868620396f, 0.991340875625610f, - -0.092650748789310f, - 0.991269648075104f, -0.093027576804161f, 0.991198182106018f, - -0.093404345214367f, - 0.991126358509064f, -0.093781061470509f, 0.991054296493530f, - -0.094157725572586f, - 0.990981936454773f, -0.094534330070019f, 0.990909278392792f, - -0.094910882413387f, - 0.990836322307587f, -0.095287375152111f, 0.990763127803802f, - -0.095663815736771f, - 0.990689575672150f, -0.096040196716785f, 0.990615785121918f, - -0.096416525542736f, - 0.990541696548462f, -0.096792794764042f, 0.990467309951782f, - -0.097169004380703f, - 0.990392625331879f, -0.097545161843300f, 0.990317702293396f, - -0.097921259701252f, - 0.990242421627045f, -0.098297297954559f, 0.990166902542114f, - -0.098673284053802f, - 0.990091085433960f, -0.099049203097820f, 0.990014970302582f, - -0.099425069987774f, - 0.989938557147980f, -0.099800877273083f, 0.989861845970154f, - -0.100176624953747f, - 0.989784896373749f, -0.100552320480347f, 0.989707589149475f, - -0.100927948951721f, - 0.989630043506622f, -0.101303517818451f, 0.989552199840546f, - -0.101679034531116f, - 0.989474058151245f, -0.102054484188557f, 0.989395678043365f, - -0.102429874241352f, - 0.989316940307617f, -0.102805204689503f, 0.989237964153290f, - -0.103180475533009f, - 0.989158689975739f, -0.103555686771870f, 0.989079117774963f, - -0.103930838406086f, - 0.988999247550964f, -0.104305922985077f, 0.988919138908386f, - -0.104680955410004f, - 0.988838672637939f, -0.105055920779705f, 0.988757967948914f, - -0.105430819094181f, - 0.988676965236664f, -0.105805665254593f, 0.988595664501190f, - -0.106180444359779f, - 0.988514065742493f, -0.106555156409740f, 0.988432228565216f, - -0.106929816305637f, - 0.988350033760071f, -0.107304409146309f, 0.988267600536346f, - -0.107678934931755f, - 0.988184869289398f, -0.108053401112556f, 0.988101840019226f, - -0.108427800238132f, - 0.988018512725830f, -0.108802139759064f, 0.987934947013855f, - -0.109176412224770f, - 0.987851083278656f, -0.109550617635250f, 0.987766921520233f, - -0.109924763441086f, - 0.987682461738586f, -0.110298842191696f, 0.987597703933716f, - -0.110672861337662f, - 0.987512648105621f, -0.111046813428402f, 0.987427353858948f, - -0.111420698463917f, - 0.987341761589050f, -0.111794516444206f, 0.987255871295929f, - -0.112168267369270f, - 0.987169682979584f, -0.112541958689690f, 0.987083256244659f, - -0.112915575504303f, - 0.986996471881866f, -0.113289132714272f, 0.986909449100494f, - -0.113662622869015f, - 0.986822128295898f, -0.114036038517952f, 0.986734509468079f, - -0.114409394562244f, - 0.986646652221680f, -0.114782683551311f, 0.986558437347412f, - -0.115155905485153f, - 0.986469984054565f, -0.115529052913189f, 0.986381232738495f, - -0.115902140736580f, - 0.986292183399200f, -0.116275154054165f, 0.986202836036682f, - -0.116648100316525f, - 0.986113250255585f, -0.117020979523659f, 0.986023366451263f, - -0.117393791675568f, - 0.985933184623718f, -0.117766529321671f, 0.985842704772949f, - -0.118139199912548f, - 0.985751926898956f, -0.118511803448200f, 0.985660910606384f, - -0.118884332478046f, - 0.985569596290588f, -0.119256794452667f, 0.985477983951569f, - -0.119629189372063f, - 0.985386073589325f, -0.120001509785652f, 0.985293865203857f, - -0.120373763144016f, - 0.985201418399811f, -0.120745941996574f, 0.985108673572540f, - -0.121118053793907f, - 0.985015630722046f, -0.121490091085434f, 0.984922289848328f, - -0.121862053871155f, - 0.984828710556030f, -0.122233949601650f, 0.984734773635864f, - -0.122605770826340f, - 0.984640598297119f, -0.122977524995804f, 0.984546124935150f, - -0.123349204659462f, - 0.984451413154602f, -0.123720809817314f, 0.984356343746185f, - -0.124092340469360f, - 0.984261035919189f, -0.124463804066181f, 0.984165430068970f, - -0.124835193157196f, - 0.984069526195526f, -0.125206500291824f, 0.983973383903503f, - -0.125577747821808f, - 0.983876943588257f, -0.125948905944824f, 0.983780145645142f, - -0.126320004463196f, - 0.983683168888092f, -0.126691013574600f, 0.983585834503174f, - -0.127061963081360f, - 0.983488261699677f, -0.127432823181152f, 0.983390331268311f, - -0.127803623676300f, - 0.983292162418365f, -0.128174334764481f, 0.983193755149841f, - -0.128544986248016f, - 0.983094990253448f, -0.128915548324585f, 0.982995986938477f, - -0.129286035895348f, - 0.982896685600281f, -0.129656463861465f, 0.982797086238861f, - -0.130026802420616f, - 0.982697248458862f, -0.130397051572800f, 0.982597053050995f, - -0.130767241120338f, - 0.982496619224548f, -0.131137356162071f, 0.982395887374878f, - -0.131507381796837f, - 0.982294917106628f, -0.131877332925797f, 0.982193589210510f, - -0.132247209548950f, - 0.982092022895813f, -0.132617011666298f, 0.981990158557892f, - -0.132986739277840f, - 0.981888055801392f, -0.133356377482414f, 0.981785595417023f, - -0.133725941181183f, - 0.981682896614075f, -0.134095430374146f, 0.981579899787903f, - -0.134464830160141f, - 0.981476604938507f, -0.134834155440331f, 0.981373071670532f, - -0.135203406214714f, - 0.981269240379334f, -0.135572582483292f, 0.981165111064911f, - -0.135941669344902f, - 0.981060683727264f, -0.136310681700706f, 0.980956017971039f, - -0.136679604649544f, - 0.980851054191589f, -0.137048453092575f, 0.980745792388916f, - -0.137417227029800f, - 0.980640232563019f, -0.137785911560059f, 0.980534434318542f, - -0.138154521584511f, - 0.980428338050842f, -0.138523042201996f, 0.980321943759918f, - -0.138891488313675f, - 0.980215251445770f, -0.139259845018387f, 0.980108320713043f, - -0.139628127217293f, - 0.980001091957092f, -0.139996320009232f, 0.979893565177917f, - -0.140364438295364f, - 0.979785740375519f, -0.140732467174530f, 0.979677677154541f, - -0.141100421547890f, - 0.979569315910339f, -0.141468286514282f, 0.979460656642914f, - -0.141836062073708f, - 0.979351758956909f, -0.142203763127327f, 0.979242503643036f, - -0.142571389675140f, - 0.979133009910584f, -0.142938911914825f, 0.979023277759552f, - -0.143306359648705f, - 0.978913187980652f, -0.143673732876778f, 0.978802859783173f, - -0.144041016697884f, - 0.978692233562469f, -0.144408211112022f, 0.978581368923187f, - -0.144775316119194f, - 0.978470146656036f, -0.145142331719399f, 0.978358685970306f, - -0.145509272813797f, - 0.978246986865997f, -0.145876124501228f, 0.978134930133820f, - -0.146242901682854f, - 0.978022634983063f, -0.146609574556351f, 0.977910041809082f, - -0.146976172924042f, - 0.977797150611877f, -0.147342681884766f, 0.977684020996094f, - -0.147709101438522f, - 0.977570593357086f, -0.148075446486473f, 0.977456867694855f, - -0.148441687226295f, - 0.977342903614044f, -0.148807853460312f, 0.977228581905365f, - -0.149173930287361f, - 0.977114021778107f, -0.149539917707443f, 0.976999223232269f, - -0.149905815720558f, - 0.976884067058563f, -0.150271624326706f, 0.976768672466278f, - -0.150637343525887f, - 0.976653039455414f, -0.151002973318100f, 0.976537048816681f, - -0.151368513703346f, - 0.976420819759369f, -0.151733979582787f, 0.976304292678833f, - -0.152099341154099f, - 0.976187527179718f, -0.152464613318443f, 0.976070404052734f, - -0.152829796075821f, - 0.975953042507172f, -0.153194904327393f, 0.975835442543030f, - -0.153559908270836f, - 0.975717484951019f, -0.153924822807312f, 0.975599288940430f, - -0.154289647936821f, - 0.975480854511261f, -0.154654383659363f, 0.975362062454224f, - -0.155019029974937f, - 0.975243031978607f, -0.155383571982384f, 0.975123703479767f, - -0.155748039484024f, - 0.975004136562347f, -0.156112402677536f, 0.974884271621704f, - -0.156476691365242f, - 0.974764108657837f, -0.156840875744820f, 0.974643647670746f, - -0.157204970717430f, - 0.974522948265076f, -0.157568961381912f, 0.974401950836182f, - -0.157932877540588f, - 0.974280655384064f, -0.158296689391136f, 0.974159121513367f, - -0.158660411834717f, - 0.974037289619446f, -0.159024044871330f, 0.973915159702301f, - -0.159387573599815f, - 0.973792791366577f, -0.159751012921333f, 0.973670125007629f, - -0.160114362835884f, - 0.973547160625458f, -0.160477623343468f, 0.973423957824707f, - -0.160840779542923f, - 0.973300457000732f, -0.161203846335411f, 0.973176658153534f, - -0.161566808819771f, - 0.973052620887756f, -0.161929681897163f, 0.972928285598755f, - -0.162292465567589f, - 0.972803652286530f, -0.162655144929886f, 0.972678780555725f, - -0.163017734885216f, - 0.972553610801697f, -0.163380220532417f, 0.972428143024445f, - -0.163742616772652f, - 0.972302436828613f, -0.164104923605919f, 0.972176432609558f, - -0.164467126131058f, - 0.972050130367279f, -0.164829224348068f, 0.971923589706421f, - -0.165191248059273f, - 0.971796751022339f, -0.165553152561188f, 0.971669614315033f, - -0.165914967656136f, - 0.971542239189148f, -0.166276678442955f, 0.971414566040039f, - -0.166638299822807f, - 0.971286594867706f, -0.166999831795692f, 0.971158385276794f, - -0.167361244559288f, - 0.971029877662659f, -0.167722567915916f, 0.970901072025299f, - -0.168083801865578f, - 0.970772027969360f, -0.168444931507111f, 0.970642685890198f, - -0.168805956840515f, - 0.970513105392456f, -0.169166877865791f, 0.970383226871490f, - -0.169527709484100f, - 0.970253050327301f, -0.169888436794281f, 0.970122575759888f, - -0.170249074697495f, - 0.969991862773895f, -0.170609608292580f, 0.969860911369324f, - -0.170970037579536f, - 0.969729602336884f, -0.171330362558365f, 0.969598054885864f, - -0.171690583229065f, - 0.969466269016266f, -0.172050714492798f, 0.969334125518799f, - -0.172410741448402f, - 0.969201743602753f, -0.172770664095879f, 0.969069123268127f, - -0.173130482435226f, - 0.968936204910278f, -0.173490211367607f, 0.968802988529205f, - -0.173849821090698f, - 0.968669533729553f, -0.174209341406822f, 0.968535780906677f, - -0.174568757414818f, - 0.968401730060577f, -0.174928069114685f, 0.968267440795898f, - -0.175287276506424f, - 0.968132853507996f, -0.175646379590034f, 0.967997968196869f, - -0.176005378365517f, - 0.967862844467163f, -0.176364272832870f, 0.967727422714233f, - -0.176723077893257f, - 0.967591762542725f, -0.177081763744354f, 0.967455804347992f, - -0.177440345287323f, - 0.967319548130035f, -0.177798837423325f, 0.967183053493500f, - -0.178157210350037f, - 0.967046260833740f, -0.178515478968620f, 0.966909229755402f, - -0.178873643279076f, - 0.966771900653839f, -0.179231703281403f, 0.966634273529053f, - -0.179589673876762f, - 0.966496407985687f, -0.179947525262833f, 0.966358244419098f, - -0.180305257439613f, - 0.966219842433929f, -0.180662900209427f, 0.966081082820892f, - -0.181020438671112f, - 0.965942144393921f, -0.181377857923508f, 0.965802907943726f, - -0.181735187768936f, - 0.965663373470306f, -0.182092398405075f, 0.965523540973663f, - -0.182449504733086f, - 0.965383470058441f, -0.182806491851807f, 0.965243160724640f, - -0.183163389563560f, - 0.965102493762970f, -0.183520168066025f, 0.964961588382721f, - -0.183876842260361f, - 0.964820444583893f, -0.184233412146568f, 0.964679002761841f, - -0.184589877724648f, - 0.964537262916565f, -0.184946224093437f, 0.964395284652710f, - -0.185302466154099f, - 0.964253067970276f, -0.185658603906631f, 0.964110493659973f, - -0.186014622449875f, - 0.963967680931091f, -0.186370536684990f, 0.963824629783630f, - -0.186726331710815f, - 0.963681280612946f, -0.187082037329674f, 0.963537633419037f, - -0.187437608838081f, - 0.963393747806549f, -0.187793090939522f, 0.963249564170837f, - -0.188148453831673f, - 0.963105142116547f, -0.188503712415695f, 0.962960422039032f, - -0.188858851790428f, - 0.962815403938293f, -0.189213871955872f, 0.962670147418976f, - -0.189568802714348f, - 0.962524592876434f, -0.189923599362373f, 0.962378799915314f, - -0.190278306603432f, - 0.962232708930969f, -0.190632879734039f, 0.962086379528046f, - -0.190987363457680f, - 0.961939752101898f, -0.191341713070869f, 0.961792886257172f, - -0.191695958375931f, - 0.961645722389221f, -0.192050099372864f, 0.961498260498047f, - -0.192404121160507f, - 0.961350560188293f, -0.192758023738861f, 0.961202561855316f, - -0.193111822009087f, - 0.961054325103760f, -0.193465501070023f, 0.960905790328979f, - -0.193819075822830f, - 0.960757017135620f, -0.194172516465187f, 0.960607945919037f, - -0.194525867700577f, - 0.960458636283875f, -0.194879084825516f, 0.960309028625488f, - -0.195232197642326f, - 0.960159122943878f, -0.195585191249847f, 0.960008978843689f, - -0.195938065648079f, - 0.959858596324921f, -0.196290835738182f, 0.959707856178284f, - -0.196643486618996f, - 0.959556937217712f, -0.196996018290520f, 0.959405720233917f, - -0.197348430752754f, - 0.959254205226898f, -0.197700738906860f, 0.959102451801300f, - -0.198052927851677f, - 0.958950400352478f, -0.198404997587204f, 0.958798050880432f, - -0.198756948113441f, - 0.958645522594452f, -0.199108779430389f, 0.958492636680603f, - -0.199460506439209f, - 0.958339512348175f, -0.199812099337578f, 0.958186149597168f, - -0.200163587927818f, - 0.958032488822937f, -0.200514942407608f, 0.957878530025482f, - -0.200866192579269f, - 0.957724332809448f, -0.201217323541641f, 0.957569897174835f, - -0.201568335294724f, - 0.957415163516998f, -0.201919227838516f, 0.957260131835938f, - -0.202270001173019f, - 0.957104861736298f, -0.202620655298233f, 0.956949353218079f, - -0.202971190214157f, - 0.956793546676636f, -0.203321605920792f, 0.956637442111969f, - -0.203671902418137f, - 0.956481099128723f, -0.204022079706192f, 0.956324458122253f, - -0.204372137784958f, - 0.956167578697205f, -0.204722076654434f, 0.956010460853577f, - -0.205071896314621f, - 0.955853044986725f, -0.205421581864357f, 0.955695331096649f, - -0.205771163105965f, - 0.955537378787994f, -0.206120610237122f, 0.955379128456116f, - -0.206469938158989f, - 0.955220639705658f, -0.206819161772728f, 0.955061912536621f, - -0.207168251276016f, - 0.954902827739716f, -0.207517206668854f, 0.954743564128876f, - -0.207866057753563f, - 0.954584002494812f, -0.208214774727821f, 0.954424142837524f, - -0.208563387393951f, - 0.954264044761658f, -0.208911851048470f, 0.954103708267212f, - -0.209260210394859f, - 0.953943073749542f, -0.209608450531960f, 0.953782141208649f, - -0.209956556558609f, - 0.953620970249176f, -0.210304543375969f, 0.953459560871124f, - -0.210652396082878f, - 0.953297853469849f, -0.211000129580498f, 0.953135907649994f, - -0.211347743868828f, - 0.952973663806915f, -0.211695238947868f, 0.952811121940613f, - -0.212042599916458f, - 0.952648401260376f, -0.212389841675758f, 0.952485322952271f, - -0.212736949324608f, - 0.952322065830231f, -0.213083937764168f, 0.952158451080322f, - -0.213430806994438f, - 0.951994657516479f, -0.213777542114258f, 0.951830565929413f, - -0.214124158024788f, - 0.951666176319122f, -0.214470639824867f, 0.951501548290253f, - -0.214817002415657f, - 0.951336681842804f, -0.215163245797157f, 0.951171517372131f, - -0.215509355068207f, - 0.951006054878235f, -0.215855330228806f, 0.950840353965759f, - -0.216201186180115f, - 0.950674414634705f, -0.216546908020973f, 0.950508177280426f, - -0.216892510652542f, - 0.950341701507568f, -0.217237979173660f, 0.950174987316132f, - -0.217583328485489f, - 0.950007975101471f, -0.217928543686867f, 0.949840664863586f, - -0.218273624777794f, - 0.949673116207123f, -0.218618586659431f, 0.949505329132080f, - -0.218963414430618f, - 0.949337244033813f, -0.219308122992516f, 0.949168920516968f, - -0.219652697443962f, - 0.949000298976898f, -0.219997137784958f, 0.948831439018250f, - -0.220341444015503f, - 0.948662281036377f, -0.220685631036758f, 0.948492884635925f, - -0.221029683947563f, - 0.948323249816895f, -0.221373617649078f, 0.948153316974640f, - -0.221717402338982f, - 0.947983145713806f, -0.222061067819595f, 0.947812676429749f, - -0.222404599189758f, - 0.947641968727112f, -0.222748011350632f, 0.947470963001251f, - -0.223091274499893f, - 0.947299718856812f, -0.223434418439865f, 0.947128236293793f, - -0.223777428269386f, - 0.946956455707550f, -0.224120303988457f, 0.946784436702728f, - -0.224463045597076f, - 0.946612179279327f, -0.224805667996407f, 0.946439623832703f, - -0.225148141384125f, - 0.946266770362854f, -0.225490495562553f, 0.946093678474426f, - -0.225832715630531f, - 0.945920348167419f, -0.226174786686897f, 0.945746779441834f, - -0.226516738533974f, - 0.945572853088379f, -0.226858556270599f, 0.945398747920990f, - -0.227200239896774f, - 0.945224344730377f, -0.227541789412498f, 0.945049703121185f, - -0.227883204817772f, - 0.944874763488770f, -0.228224486112595f, 0.944699645042419f, - -0.228565633296967f, - 0.944524168968201f, -0.228906646370888f, 0.944348454475403f, - -0.229247525334358f, - 0.944172501564026f, -0.229588270187378f, 0.943996310234070f, - -0.229928880929947f, - 0.943819820880890f, -0.230269357562065f, 0.943643093109131f, - -0.230609700083733f, - 0.943466067314148f, -0.230949893593788f, 0.943288803100586f, - -0.231289967894554f, - 0.943111240863800f, -0.231629893183708f, 0.942933499813080f, - -0.231969684362412f, - 0.942755401134491f, -0.232309341430664f, 0.942577123641968f, - -0.232648864388466f, - 0.942398548126221f, -0.232988253235817f, 0.942219734191895f, - -0.233327493071556f, - 0.942040622234344f, -0.233666598796844f, 0.941861271858215f, - -0.234005570411682f, - 0.941681683063507f, -0.234344407916069f, 0.941501796245575f, - -0.234683111310005f, - 0.941321671009064f, -0.235021665692329f, 0.941141307353973f, - -0.235360085964203f, - 0.940960645675659f, -0.235698372125626f, 0.940779745578766f, - -0.236036509275436f, - 0.940598547458649f, -0.236374512314796f, 0.940417110919952f, - -0.236712381243706f, - 0.940235435962677f, -0.237050101161003f, 0.940053522586823f, - -0.237387686967850f, - 0.939871311187744f, -0.237725138664246f, 0.939688861370087f, - -0.238062441349030f, - 0.939506113529205f, -0.238399609923363f, 0.939323127269745f, - -0.238736644387245f, - 0.939139902591705f, -0.239073529839516f, 0.938956379890442f, - -0.239410281181335f, - 0.938772618770599f, -0.239746883511543f, 0.938588619232178f, - -0.240083336830139f, - 0.938404381275177f, -0.240419670939446f, 0.938219845294952f, - -0.240755841135979f, - 0.938035070896149f, -0.241091892123222f, 0.937849998474121f, - -0.241427779197693f, - 0.937664687633514f, -0.241763532161713f, 0.937479138374329f, - -0.242099151015282f, - 0.937293350696564f, -0.242434620857239f, 0.937107264995575f, - -0.242769956588745f, - 0.936920940876007f, -0.243105143308640f, 0.936734318733215f, - -0.243440181016922f, - 0.936547517776489f, -0.243775084614754f, 0.936360359191895f, - -0.244109839200974f, - 0.936173021793365f, -0.244444444775581f, 0.935985386371613f, - -0.244778916239738f, - 0.935797572135925f, -0.245113238692284f, 0.935609400272369f, - -0.245447427034378f, - 0.935421049594879f, -0.245781451463699f, 0.935232400894165f, - -0.246115356683731f, - 0.935043513774872f, -0.246449097990990f, 0.934854328632355f, - -0.246782705187798f, - 0.934664964675903f, -0.247116148471832f, 0.934475243091583f, - -0.247449472546577f, - 0.934285342693329f, -0.247782632708550f, 0.934095203876495f, - -0.248115643858910f, - 0.933904767036438f, -0.248448520898819f, 0.933714091777802f, - -0.248781248927116f, - 0.933523118495941f, -0.249113827943802f, 0.933331906795502f, - -0.249446272850037f, - 0.933140456676483f, -0.249778553843498f, 0.932948768138886f, - -0.250110685825348f, - 0.932756841182709f, -0.250442683696747f, 0.932564616203308f, - -0.250774532556534f, - 0.932372152805328f, -0.251106232404709f, 0.932179391384125f, - -0.251437783241272f, - 0.931986451148987f, -0.251769185066223f, 0.931793212890625f, - -0.252100437879562f, - 0.931599736213684f, -0.252431541681290f, 0.931405961513519f, - -0.252762526273727f, - 0.931211948394775f, -0.253093332052231f, 0.931017756462097f, - -0.253423988819122f, - 0.930823206901550f, -0.253754496574402f, 0.930628478527069f, - -0.254084855318069f, - 0.930433452129364f, -0.254415065050125f, 0.930238187313080f, - -0.254745125770569f, - 0.930042684078217f, -0.255075037479401f, 0.929846942424774f, - -0.255404800176620f, - 0.929650902748108f, -0.255734413862228f, 0.929454624652863f, - -0.256063878536224f, - 0.929258108139038f, -0.256393194198608f, 0.929061353206635f, - -0.256722360849380f, - 0.928864300251007f, -0.257051378488541f, 0.928667008876801f, - -0.257380217313766f, - 0.928469479084015f, -0.257708936929703f, 0.928271710872650f, - -0.258037507534027f, - 0.928073644638062f, -0.258365899324417f, 0.927875399589539f, - -0.258694142103195f, - 0.927676856517792f, -0.259022265672684f, 0.927478015422821f, - -0.259350210428238f, - 0.927278995513916f, -0.259678006172180f, 0.927079677581787f, - -0.260005623102188f, - 0.926880121231079f, -0.260333120822906f, 0.926680326461792f, - -0.260660469532013f, - 0.926480293273926f, -0.260987639427185f, 0.926280021667480f, - -0.261314690113068f, - 0.926079452037811f, -0.261641561985016f, 0.925878643989563f, - -0.261968284845352f, - 0.925677597522736f, -0.262294828891754f, 0.925476312637329f, - -0.262621253728867f, - 0.925274729728699f, -0.262947499752045f, 0.925072908401489f, - -0.263273626565933f, - 0.924870908260345f, -0.263599574565887f, 0.924668610095978f, - -0.263925373554230f, - 0.924466013908386f, -0.264250993728638f, 0.924263238906860f, - -0.264576494693756f, - 0.924060165882111f, -0.264901816844940f, 0.923856854438782f, - -0.265226989984512f, - 0.923653304576874f, -0.265552014112473f, 0.923449516296387f, - -0.265876859426498f, - 0.923245489597321f, -0.266201555728912f, 0.923041164875031f, - -0.266526103019714f, - 0.922836601734161f, -0.266850501298904f, 0.922631800174713f, - -0.267174720764160f, - 0.922426760196686f, -0.267498821020126f, 0.922221481800079f, - -0.267822742462158f, - 0.922015964984894f, -0.268146485090256f, 0.921810150146484f, - -0.268470078706741f, - 0.921604096889496f, -0.268793523311615f, 0.921397805213928f, - -0.269116818904877f, - 0.921191275119781f, -0.269439965486526f, 0.920984506607056f, - -0.269762933254242f, - 0.920777499675751f, -0.270085722208023f, 0.920570194721222f, - -0.270408391952515f, - 0.920362710952759f, -0.270730882883072f, 0.920154929161072f, - -0.271053224802017f, - 0.919946908950806f, -0.271375387907028f, 0.919738650321960f, - -0.271697402000427f, - 0.919530093669891f, -0.272019267082214f, 0.919321358203888f, - -0.272340953350067f, - 0.919112324714661f, -0.272662490606308f, 0.918903112411499f, - -0.272983878850937f, - 0.918693602085114f, -0.273305088281631f, 0.918483853340149f, - -0.273626148700714f, - 0.918273866176605f, -0.273947030305862f, 0.918063640594482f, - -0.274267762899399f, - 0.917853116989136f, -0.274588316679001f, 0.917642414569855f, - -0.274908751249313f, - 0.917431414127350f, -0.275228977203369f, 0.917220234870911f, - -0.275549083948135f, - 0.917008757591248f, -0.275868982076645f, 0.916797041893005f, - -0.276188760995865f, - 0.916585087776184f, -0.276508361101151f, 0.916372895240784f, - -0.276827782392502f, - 0.916160404682159f, -0.277147054672241f, 0.915947735309601f, - -0.277466177940369f, - 0.915734827518463f, -0.277785122394562f, 0.915521621704102f, - -0.278103888034821f, - 0.915308177471161f, -0.278422504663467f, 0.915094554424286f, - -0.278740972280502f, - 0.914880633354187f, -0.279059261083603f, 0.914666473865509f, - -0.279377400875092f, - 0.914452075958252f, -0.279695361852646f, 0.914237439632416f, - -0.280013144016266f, - 0.914022505283356f, -0.280330777168274f, 0.913807392120361f, - -0.280648261308670f, - 0.913592040538788f, -0.280965566635132f, 0.913376390933990f, - -0.281282693147659f, - 0.913160502910614f, -0.281599670648575f, 0.912944436073303f, - -0.281916469335556f, - 0.912728071212769f, -0.282233119010925f, 0.912511467933655f, - -0.282549589872360f, - 0.912294626235962f, -0.282865911722183f, 0.912077546119690f, - -0.283182054758072f, - 0.911860227584839f, -0.283498018980026f, 0.911642670631409f, - -0.283813834190369f, - 0.911424875259399f, -0.284129470586777f, 0.911206841468811f, - -0.284444957971573f, - 0.910988569259644f, -0.284760266542435f, 0.910769999027252f, - -0.285075396299362f, - 0.910551249980927f, -0.285390377044678f, 0.910332262516022f, - -0.285705178976059f, - 0.910112977027893f, -0.286019802093506f, 0.909893512725830f, - -0.286334276199341f, - 0.909673750400543f, -0.286648571491241f, 0.909453809261322f, - -0.286962717771530f, - 0.909233570098877f, -0.287276685237885f, 0.909013092517853f, - -0.287590473890305f, - 0.908792436122894f, -0.287904083728790f, 0.908571481704712f, - -0.288217544555664f, - 0.908350288867950f, -0.288530826568604f, 0.908128857612610f, - -0.288843959569931f, - 0.907907187938690f, -0.289156883955002f, 0.907685279846191f, - -0.289469659328461f, - 0.907463192939758f, -0.289782285690308f, 0.907240808010101f, - -0.290094703435898f, - 0.907018184661865f, -0.290406972169876f, 0.906795322895050f, - -0.290719062089920f, - 0.906572222709656f, -0.291031002998352f, 0.906348884105682f, - -0.291342735290527f, - 0.906125307083130f, -0.291654318571091f, 0.905901491641998f, - -0.291965723037720f, - 0.905677437782288f, -0.292276978492737f, 0.905453145503998f, - -0.292588025331497f, - 0.905228614807129f, -0.292898923158646f, 0.905003845691681f, - -0.293209642171860f, - 0.904778838157654f, -0.293520182371140f, 0.904553592205048f, - -0.293830573558807f, - 0.904328107833862f, -0.294140785932541f, 0.904102385044098f, - -0.294450789690018f, - 0.903876423835754f, -0.294760644435883f, 0.903650224208832f, - -0.295070350170136f, - 0.903423786163330f, -0.295379847288132f, 0.903197109699249f, - -0.295689195394516f, - 0.902970194816589f, -0.295998334884644f, 0.902743041515350f, - -0.296307325363159f, - 0.902515649795532f, -0.296616137027740f, 0.902288019657135f, - -0.296924799680710f, - 0.902060210704803f, -0.297233253717422f, 0.901832103729248f, - -0.297541528940201f, - 0.901603758335114f, -0.297849655151367f, 0.901375174522400f, - -0.298157602548599f, - 0.901146411895752f, -0.298465341329575f, 0.900917351245880f, - -0.298772931098938f, - 0.900688111782074f, -0.299080342054367f, 0.900458574295044f, - -0.299387603998184f, - 0.900228857994080f, -0.299694657325745f, 0.899998843669891f, - -0.300001531839371f, - 0.899768650531769f, -0.300308227539063f, 0.899538159370422f, - -0.300614774227142f, - 0.899307489395142f, -0.300921112298965f, 0.899076581001282f, - -0.301227301359177f, - 0.898845434188843f, -0.301533311605453f, 0.898614048957825f, - -0.301839113235474f, - 0.898382425308228f, -0.302144765853882f, 0.898150563240051f, - -0.302450239658356f, - 0.897918462753296f, -0.302755534648895f, 0.897686123847961f, - -0.303060621023178f, - 0.897453546524048f, -0.303365558385849f, 0.897220790386200f, - -0.303670316934586f, - 0.896987736225128f, -0.303974896669388f, 0.896754503250122f, - -0.304279297590256f, - 0.896520972251892f, -0.304583519697189f, 0.896287262439728f, - -0.304887533187866f, - 0.896053314208984f, -0.305191397666931f, 0.895819067955017f, - -0.305495083332062f, - 0.895584642887115f, -0.305798590183258f, 0.895349979400635f, - -0.306101888418198f, - 0.895115137100220f, -0.306405037641525f, 0.894879996776581f, - -0.306708008050919f, - 0.894644618034363f, -0.307010769844055f, 0.894409060478210f, - -0.307313382625580f, - 0.894173204898834f, -0.307615786790848f, 0.893937170505524f, - -0.307918041944504f, - 0.893700897693634f, -0.308220088481903f, 0.893464326858521f, - -0.308521956205368f, - 0.893227577209473f, -0.308823645114899f, 0.892990648746490f, - -0.309125155210495f, - 0.892753422260284f, -0.309426486492157f, 0.892515957355499f, - -0.309727638959885f, - 0.892278313636780f, -0.310028612613678f, 0.892040371894836f, - -0.310329377651215f, - 0.891802251338959f, -0.310629993677139f, 0.891563892364502f, - -0.310930401086807f, - 0.891325294971466f, -0.311230629682541f, 0.891086459159851f, - -0.311530679464340f, - 0.890847444534302f, -0.311830550432205f, 0.890608131885529f, - -0.312130242586136f, - 0.890368640422821f, -0.312429755926132f, 0.890128850936890f, - -0.312729060649872f, - 0.889888882637024f, -0.313028186559677f, 0.889648675918579f, - -0.313327133655548f, - 0.889408230781555f, -0.313625901937485f, 0.889167606830597f, - -0.313924491405487f, - 0.888926684856415f, -0.314222872257233f, 0.888685584068298f, - -0.314521104097366f, - 0.888444244861603f, -0.314819127321243f, 0.888202667236328f, - -0.315116971731186f, - 0.887960851192474f, -0.315414607524872f, 0.887718796730042f, - -0.315712094306946f, - 0.887476563453674f, -0.316009372472763f, 0.887234091758728f, - -0.316306471824646f, - 0.886991322040558f, -0.316603392362595f, 0.886748373508453f, - -0.316900104284287f, - 0.886505246162415f, -0.317196637392044f, 0.886261820793152f, - -0.317492991685867f, - 0.886018216609955f, -0.317789167165756f, 0.885774314403534f, - -0.318085134029388f, - 0.885530233383179f, -0.318380922079086f, 0.885285973548889f, - -0.318676531314850f, - 0.885041415691376f, -0.318971961736679f, 0.884796679019928f, - -0.319267183542252f, - 0.884551644325256f, -0.319562226533890f, 0.884306430816650f, - -0.319857090711594f, - 0.884061038494110f, -0.320151746273041f, 0.883815348148346f, - -0.320446223020554f, - 0.883569478988647f, -0.320740520954132f, 0.883323311805725f, - -0.321034610271454f, - 0.883076965808868f, -0.321328520774841f, 0.882830440998077f, - -0.321622252464294f, - 0.882583618164063f, -0.321915775537491f, 0.882336616516113f, - -0.322209119796753f, - 0.882089376449585f, -0.322502255439758f, 0.881841897964478f, - -0.322795242071152f, - 0.881594181060791f, -0.323088020086288f, 0.881346285343170f, - -0.323380589485168f, - 0.881098151206970f, -0.323672980070114f, 0.880849778652191f, - -0.323965191841125f, - 0.880601167678833f, -0.324257194995880f, 0.880352377891541f, - -0.324549019336700f, - 0.880103349685669f, -0.324840664863586f, 0.879854083061218f, - -0.325132101774216f, - 0.879604578018188f, -0.325423330068588f, 0.879354894161224f, - -0.325714409351349f, - 0.879104971885681f, -0.326005280017853f, 0.878854811191559f, - -0.326295942068100f, - 0.878604412078857f, -0.326586425304413f, 0.878353834152222f, - -0.326876699924469f, - 0.878103017807007f, -0.327166795730591f, 0.877851963043213f, - -0.327456712722778f, - 0.877600669860840f, -0.327746421098709f, 0.877349197864532f, - -0.328035950660706f, - 0.877097487449646f, -0.328325271606445f, 0.876845538616180f, - -0.328614413738251f, - 0.876593410968781f, -0.328903347253799f, 0.876341044902802f, - -0.329192101955414f, - 0.876088440418243f, -0.329480648040771f, 0.875835597515106f, - -0.329769015312195f, - 0.875582575798035f, -0.330057173967361f, 0.875329315662384f, - -0.330345153808594f, - 0.875075817108154f, -0.330632925033569f, 0.874822139739990f, - -0.330920487642288f, - 0.874568223953247f, -0.331207901239395f, 0.874314069747925f, - -0.331495076417923f, - 0.874059677124023f, -0.331782072782516f, 0.873805105686188f, - -0.332068890333176f, - 0.873550295829773f, -0.332355499267578f, 0.873295307159424f, - -0.332641899585724f, - 0.873040020465851f, -0.332928121089935f, 0.872784554958344f, - -0.333214133977890f, - 0.872528910636902f, -0.333499968051910f, 0.872272968292236f, - -0.333785593509674f, - 0.872016847133636f, -0.334071010351181f, 0.871760547161102f, - -0.334356248378754f, - 0.871503949165344f, -0.334641307592392f, 0.871247172355652f, - -0.334926128387451f, - 0.870990216732025f, -0.335210770368576f, 0.870733022689819f, - -0.335495233535767f, - 0.870475590229034f, -0.335779488086700f, 0.870217919349670f, - -0.336063534021378f, - 0.869960069656372f, -0.336347371339798f, 0.869701981544495f, - -0.336631029844284f, - 0.869443655014038f, -0.336914509534836f, 0.869185149669647f, - -0.337197750806808f, - 0.868926405906677f, -0.337480813264847f, 0.868667483329773f, - -0.337763696908951f, - 0.868408262729645f, -0.338046342134476f, 0.868148922920227f, - -0.338328808546066f, - 0.867889285087585f, -0.338611096143723f, 0.867629468441010f, - -0.338893145322800f, - 0.867369413375854f, -0.339175015687943f, 0.867109179496765f, - -0.339456677436829f, - 0.866848707199097f, -0.339738160371780f, 0.866588056087494f, - -0.340019434690475f, - 0.866327106952667f, -0.340300500392914f, 0.866066038608551f, - -0.340581357479095f, - 0.865804672241211f, -0.340862035751343f, 0.865543127059937f, - -0.341142505407333f, - 0.865281403064728f, -0.341422766447067f, 0.865019381046295f, - -0.341702848672867f, - 0.864757239818573f, -0.341982692480087f, 0.864494800567627f, - -0.342262357473373f, - 0.864232182502747f, -0.342541843652725f, 0.863969385623932f, - -0.342821091413498f, - 0.863706290721893f, -0.343100160360336f, 0.863443076610565f, - -0.343379020690918f, - 0.863179564476013f, -0.343657672405243f, 0.862915873527527f, - -0.343936115503311f, - 0.862652003765106f, -0.344214379787445f, 0.862387895584106f, - -0.344492435455322f, - 0.862123548984528f, -0.344770282506943f, 0.861859023571014f, - -0.345047920942307f, - 0.861594259738922f, -0.345325350761414f, 0.861329257488251f, - -0.345602601766586f, - 0.861064076423645f, -0.345879614353180f, 0.860798716545105f, - -0.346156448125839f, - 0.860533118247986f, -0.346433073282242f, 0.860267281532288f, - -0.346709519624710f, - 0.860001266002655f, -0.346985727548599f, 0.859735012054443f, - -0.347261756658554f, - 0.859468579292297f, -0.347537547349930f, 0.859201908111572f, - -0.347813159227371f, - 0.858934998512268f, -0.348088562488556f, 0.858667910099030f, - -0.348363757133484f, - 0.858400642871857f, -0.348638743162155f, 0.858133137226105f, - -0.348913550376892f, - 0.857865393161774f, -0.349188119173050f, 0.857597470283508f, - -0.349462509155273f, - 0.857329368591309f, -0.349736660718918f, 0.857060968875885f, - -0.350010633468628f, - 0.856792449951172f, -0.350284397602081f, 0.856523692607880f, - -0.350557953119278f, - 0.856254696846008f, -0.350831300020218f, 0.855985522270203f, - -0.351104438304901f, - 0.855716109275818f, -0.351377367973328f, 0.855446517467499f, - -0.351650089025497f, - 0.855176687240601f, -0.351922631263733f, 0.854906618595123f, - -0.352194935083389f, - 0.854636430740356f, -0.352467030286789f, 0.854365944862366f, - -0.352738946676254f, - 0.854095339775085f, -0.353010624647141f, 0.853824436664581f, - -0.353282123804092f, - 0.853553414344788f, -0.353553384542465f, 0.853282094001770f, - -0.353824466466904f, - 0.853010654449463f, -0.354095309972763f, 0.852738916873932f, - -0.354365974664688f, - 0.852467060089111f, -0.354636400938034f, 0.852194905281067f, - -0.354906648397446f, - 0.851922631263733f, -0.355176687240601f, 0.851650118827820f, - -0.355446487665176f, - 0.851377367973328f, -0.355716109275818f, 0.851104438304901f, - -0.355985492467880f, - 0.850831270217896f, -0.356254696846008f, 0.850557923316956f, - -0.356523662805557f, - 0.850284397602081f, -0.356792420148849f, 0.850010633468628f, - -0.357060998678207f, - 0.849736690521240f, -0.357329338788986f, 0.849462509155273f, - -0.357597470283508f, - 0.849188148975372f, -0.357865422964096f, 0.848913550376892f, - -0.358133137226105f, - 0.848638772964478f, -0.358400642871857f, 0.848363757133484f, - -0.358667939901352f, - 0.848088562488556f, -0.358935028314590f, 0.847813189029694f, - -0.359201908111572f, - 0.847537577152252f, -0.359468549489975f, 0.847261726856232f, - -0.359735012054443f, - 0.846985757350922f, -0.360001266002655f, 0.846709489822388f, - -0.360267281532288f, - 0.846433103084564f, -0.360533088445663f, 0.846156477928162f, - -0.360798716545105f, - 0.845879614353180f, -0.361064106225967f, 0.845602571964264f, - -0.361329287290573f, - 0.845325350761414f, -0.361594229936600f, 0.845047891139984f, - -0.361858993768692f, - 0.844770252704620f, -0.362123548984528f, 0.844492435455322f, - -0.362387865781784f, - 0.844214379787445f, -0.362651973962784f, 0.843936145305634f, - -0.362915903329849f, - 0.843657672405243f, -0.363179564476013f, 0.843379020690918f, - -0.363443046808243f, - 0.843100130558014f, -0.363706320524216f, 0.842821121215820f, - -0.363969355821610f, - 0.842541813850403f, -0.364232182502747f, 0.842262387275696f, - -0.364494800567627f, - 0.841982722282410f, -0.364757210016251f, 0.841702818870544f, - -0.365019410848618f, - 0.841422796249390f, -0.365281373262405f, 0.841142535209656f, - -0.365543156862259f, - 0.840862035751343f, -0.365804702043533f, 0.840581357479095f, - -0.366066008806229f, - 0.840300500392914f, -0.366327136754990f, 0.840019404888153f, - -0.366588026285172f, - 0.839738130569458f, -0.366848707199097f, 0.839456677436829f, - -0.367109179496765f, - 0.839175045490265f, -0.367369443178177f, 0.838893175125122f, - -0.367629468441010f, - 0.838611066341400f, -0.367889285087585f, 0.838328838348389f, - -0.368148893117905f, - 0.838046371936798f, -0.368408292531967f, 0.837763667106628f, - -0.368667453527451f, - 0.837480843067169f, -0.368926405906677f, 0.837197780609131f, - -0.369185149669647f, - 0.836914479732513f, -0.369443655014038f, 0.836631059646606f, - -0.369701951742172f, - 0.836347401142120f, -0.369960039854050f, 0.836063504219055f, - -0.370217919349670f, - 0.835779488086700f, -0.370475560426712f, 0.835495233535767f, - -0.370732992887497f, - 0.835210800170898f, -0.370990216732025f, 0.834926128387451f, - -0.371247202157974f, - 0.834641277790070f, -0.371503978967667f, 0.834356248378754f, - -0.371760547161102f, - 0.834071040153503f, -0.372016876935959f, 0.833785593509674f, - -0.372272998094559f, - 0.833499968051910f, -0.372528880834579f, 0.833214163780212f, - -0.372784584760666f, - 0.832928121089935f, -0.373040050268173f, 0.832641899585724f, - -0.373295277357101f, - 0.832355499267578f, -0.373550295829773f, 0.832068860530853f, - -0.373805105686188f, - 0.831782102584839f, -0.374059677124023f, 0.831495106220245f, - -0.374314039945602f, - 0.831207871437073f, -0.374568194150925f, 0.830920517444611f, - -0.374822109937668f, - 0.830632925033569f, -0.375075817108154f, 0.830345153808594f, - -0.375329315662384f, - 0.830057144165039f, -0.375582575798035f, 0.829769015312195f, - -0.375835597515106f, - 0.829480648040771f, -0.376088410615921f, 0.829192101955414f, - -0.376341015100479f, - 0.828903317451477f, -0.376593410968781f, 0.828614413738251f, - -0.376845568418503f, - 0.828325271606445f, -0.377097487449646f, 0.828035950660706f, - -0.377349197864532f, - 0.827746450901031f, -0.377600699663162f, 0.827456712722778f, - -0.377851963043213f, - 0.827166795730591f, -0.378102988004684f, 0.826876699924469f, - -0.378353834152222f, - 0.826586425304413f, -0.378604412078857f, 0.826295912265778f, - -0.378854811191559f, - 0.826005280017853f, -0.379104942083359f, 0.825714409351349f, - -0.379354894161224f, - 0.825423359870911f, -0.379604607820511f, 0.825132071971893f, - -0.379854083061218f, - 0.824840664863586f, -0.380103349685669f, 0.824549019336700f, - -0.380352377891541f, - 0.824257194995880f, -0.380601197481155f, 0.823965191841125f, - -0.380849778652191f, - 0.823673009872437f, -0.381098151206970f, 0.823380589485168f, - -0.381346285343170f, - 0.823087990283966f, -0.381594210863113f, 0.822795212268829f, - -0.381841897964478f, - 0.822502255439758f, -0.382089376449585f, 0.822209119796753f, - -0.382336616516113f, - 0.821915745735168f, -0.382583618164063f, 0.821622252464294f, - -0.382830440998077f, - 0.821328520774841f, -0.383076995611191f, 0.821034610271454f, - -0.383323341608047f, - 0.820740520954132f, -0.383569449186325f, 0.820446193218231f, - -0.383815348148346f, - 0.820151746273041f, -0.384061008691788f, 0.819857060909271f, - -0.384306460618973f, - 0.819562196731567f, -0.384551674127579f, 0.819267153739929f, - -0.384796649217606f, - 0.818971931934357f, -0.385041415691376f, 0.818676531314850f, - -0.385285943746567f, - 0.818380951881409f, -0.385530263185501f, 0.818085134029388f, - -0.385774344205856f, - 0.817789137363434f, -0.386018186807632f, 0.817493021488190f, - -0.386261820793152f, - 0.817196667194366f, -0.386505216360092f, 0.816900074481964f, - -0.386748403310776f, - 0.816603362560272f, -0.386991351842880f, 0.816306471824646f, - -0.387234061956406f, - 0.816009342670441f, -0.387476563453674f, 0.815712094306946f, - -0.387718826532364f, - 0.815414607524872f, -0.387960851192474f, 0.815116941928864f, - -0.388202667236328f, - 0.814819097518921f, -0.388444244861603f, 0.814521074295044f, - -0.388685584068298f, - 0.814222872257233f, -0.388926714658737f, 0.813924491405487f, - -0.389167606830597f, - 0.813625931739807f, -0.389408260583878f, 0.813327133655548f, - -0.389648675918579f, - 0.813028216362000f, -0.389888882637024f, 0.812729060649872f, - -0.390128880739212f, - 0.812429726123810f, -0.390368610620499f, 0.812130272388458f, - -0.390608131885529f, - 0.811830580234528f, -0.390847414731979f, 0.811530709266663f, - -0.391086459159851f, - 0.811230659484863f, -0.391325294971466f, 0.810930430889130f, - -0.391563892364502f, - 0.810629963874817f, -0.391802251338959f, 0.810329377651215f, - -0.392040401697159f, - 0.810028612613678f, -0.392278283834457f, 0.809727668762207f, - -0.392515957355499f, - 0.809426486492157f, -0.392753422260284f, 0.809125185012817f, - -0.392990618944168f, - 0.808823645114899f, -0.393227607011795f, 0.808521986007690f, - -0.393464356660843f, - 0.808220088481903f, -0.393700867891312f, 0.807918012142181f, - -0.393937170505524f, - 0.807615816593170f, -0.394173204898834f, 0.807313382625580f, - -0.394409030675888f, - 0.807010769844055f, -0.394644618034363f, 0.806707978248596f, - -0.394879996776581f, - 0.806405067443848f, -0.395115107297897f, 0.806101918220520f, - -0.395350009202957f, - 0.805798590183258f, -0.395584672689438f, 0.805495083332062f, - -0.395819097757339f, - 0.805191397666931f, -0.396053284406662f, 0.804887533187866f, - -0.396287262439728f, - 0.804583489894867f, -0.396520972251892f, 0.804279267787933f, - -0.396754473447800f, - 0.803974866867065f, -0.396987736225128f, 0.803670346736908f, - -0.397220760583878f, - 0.803365588188171f, -0.397453576326370f, 0.803060650825500f, - -0.397686123847961f, - 0.802755534648895f, -0.397918462753296f, 0.802450239658356f, - -0.398150533437729f, - 0.802144765853882f, -0.398382395505905f, 0.801839113235474f, - -0.398614019155502f, - 0.801533281803131f, -0.398845434188843f, 0.801227271556854f, - -0.399076581001282f, - 0.800921142101288f, -0.399307489395142f, 0.800614774227142f, - -0.399538189172745f, - 0.800308227539063f, -0.399768620729446f, 0.800001561641693f, - -0.399998843669891f, - 0.799694657325745f, -0.400228828191757f, 0.799387574195862f, - -0.400458574295044f, - 0.799080371856689f, -0.400688081979752f, 0.798772931098938f, - -0.400917351245880f, - 0.798465371131897f, -0.401146411895752f, 0.798157572746277f, - -0.401375204324722f, - 0.797849655151367f, -0.401603758335114f, 0.797541558742523f, - -0.401832103729248f, - 0.797233223915100f, -0.402060180902481f, 0.796924769878387f, - -0.402288049459457f, - 0.796616137027740f, -0.402515679597855f, 0.796307325363159f, - -0.402743041515350f, - 0.795998334884644f, -0.402970194816589f, 0.795689165592194f, - -0.403197109699249f, - 0.795379877090454f, -0.403423786163330f, 0.795070350170136f, - -0.403650224208832f, - 0.794760644435883f, -0.403876423835754f, 0.794450819492340f, - -0.404102355241776f, - 0.794140756130219f, -0.404328078031540f, 0.793830573558807f, - -0.404553562402725f, - 0.793520212173462f, -0.404778808355331f, 0.793209671974182f, - -0.405003815889359f, - 0.792898952960968f, -0.405228585004807f, 0.792588055133820f, - -0.405453115701675f, - 0.792276978492737f, -0.405677437782288f, 0.791965723037720f, - -0.405901491641998f, - 0.791654348373413f, -0.406125307083130f, 0.791342735290527f, - -0.406348884105682f, - 0.791031002998352f, -0.406572192907333f, 0.790719091892242f, - -0.406795293092728f, - 0.790407001972198f, -0.407018154859543f, 0.790094733238220f, - -0.407240778207779f, - 0.789782285690308f, -0.407463163137436f, 0.789469659328461f, - -0.407685309648514f, - 0.789156913757324f, -0.407907217741013f, 0.788843929767609f, - -0.408128857612610f, - 0.788530826568604f, -0.408350288867950f, 0.788217544555664f, - -0.408571451902390f, - 0.787904083728790f, -0.408792406320572f, 0.787590444087982f, - -0.409013092517853f, - 0.787276685237885f, -0.409233570098877f, 0.786962687969208f, - -0.409453779459000f, - 0.786648571491241f, -0.409673750400543f, 0.786334276199341f, - -0.409893482923508f, - 0.786019802093506f, -0.410112977027893f, 0.785705149173737f, - -0.410332232713699f, - 0.785390377044678f, -0.410551249980927f, 0.785075426101685f, - -0.410770028829575f, - 0.784760236740112f, -0.410988569259644f, 0.784444928169250f, - -0.411206841468811f, - 0.784129500389099f, -0.411424905061722f, 0.783813834190369f, - -0.411642700433731f, - 0.783498048782349f, -0.411860257387161f, 0.783182024955750f, - -0.412077575922012f, - 0.782865881919861f, -0.412294656038284f, 0.782549619674683f, - -0.412511497735977f, - 0.782233119010925f, -0.412728071212769f, 0.781916499137878f, - -0.412944436073303f, - 0.781599700450897f, -0.413160532712936f, 0.781282722949982f, - -0.413376390933990f, - 0.780965566635132f, -0.413592010736465f, 0.780648231506348f, - -0.413807392120361f, - 0.780330777168274f, -0.414022535085678f, 0.780013144016266f, - -0.414237409830093f, - 0.779695332050323f, -0.414452046155930f, 0.779377400875092f, - -0.414666473865509f, - 0.779059290885925f, -0.414880603551865f, 0.778741002082825f, - -0.415094524621964f, - 0.778422534465790f, -0.415308207273483f, 0.778103888034821f, - -0.415521621704102f, - 0.777785122394562f, -0.415734797716141f, 0.777466177940369f, - -0.415947735309601f, - 0.777147054672241f, -0.416160434484482f, 0.776827812194824f, - -0.416372895240784f, - 0.776508331298828f, -0.416585087776184f, 0.776188731193542f, - -0.416797041893005f, - 0.775869011878967f, -0.417008757591248f, 0.775549054145813f, - -0.417220205068588f, - 0.775228977203369f, -0.417431443929672f, 0.774908721446991f, - -0.417642414569855f, - 0.774588346481323f, -0.417853146791458f, 0.774267733097076f, - -0.418063640594482f, - 0.773947000503540f, -0.418273866176605f, 0.773626148700714f, - -0.418483853340149f, - 0.773305058479309f, -0.418693602085114f, 0.772983849048615f, - -0.418903112411499f, - 0.772662520408630f, -0.419112354516983f, 0.772340953350067f, - -0.419321358203888f, - 0.772019267082214f, -0.419530123472214f, 0.771697402000427f, - -0.419738620519638f, - 0.771375417709351f, -0.419946908950806f, 0.771053194999695f, - -0.420154929161072f, - 0.770730912685394f, -0.420362681150436f, 0.770408391952515f, - -0.420570224523544f, - 0.770085752010345f, -0.420777499675751f, 0.769762933254242f, - -0.420984506607056f, - 0.769439935684204f, -0.421191304922104f, 0.769116818904877f, - -0.421397835016251f, - 0.768793523311615f, -0.421604126691818f, 0.768470108509064f, - -0.421810150146484f, - 0.768146514892578f, -0.422015935182571f, 0.767822742462158f, - -0.422221481800079f, - 0.767498791217804f, -0.422426789999008f, 0.767174720764160f, - -0.422631829977036f, - 0.766850471496582f, -0.422836631536484f, 0.766526103019714f, - -0.423041164875031f, - 0.766201555728912f, -0.423245459794998f, 0.765876889228821f, - -0.423449516296387f, - 0.765551984310150f, -0.423653304576874f, 0.765226960182190f, - -0.423856884241104f, - 0.764901816844940f, -0.424060165882111f, 0.764576494693756f, - -0.424263238906860f, - 0.764250993728638f, -0.424466013908386f, 0.763925373554230f, - -0.424668580293655f, - 0.763599574565887f, -0.424870878458023f, 0.763273596763611f, - -0.425072938203812f, - 0.762947499752045f, -0.425274729728699f, 0.762621283531189f, - -0.425476282835007f, - 0.762294828891754f, -0.425677597522736f, 0.761968255043030f, - -0.425878643989563f, - 0.761641561985016f, -0.426079452037811f, 0.761314690113068f, - -0.426279991865158f, - 0.760987639427185f, -0.426480293273926f, 0.760660469532013f, - -0.426680356264114f, - 0.760333120822906f, -0.426880151033401f, 0.760005652904511f, - -0.427079707384110f, - 0.759678006172180f, -0.427278995513916f, 0.759350180625916f, - -0.427478045225143f, - 0.759022235870361f, -0.427676826715469f, 0.758694171905518f, - -0.427875369787216f, - 0.758365929126740f, -0.428073674440384f, 0.758037507534027f, - -0.428271710872650f, - 0.757708966732025f, -0.428469479084015f, 0.757380247116089f, - -0.428667008876801f, - 0.757051348686218f, -0.428864300251007f, 0.756722390651703f, - -0.429061323404312f, - 0.756393194198608f, -0.429258108139038f, 0.756063878536224f, - -0.429454624652863f, - 0.755734443664551f, -0.429650902748108f, 0.755404829978943f, - -0.429846942424774f, - 0.755075037479401f, -0.430042684078217f, 0.754745125770569f, - -0.430238217115402f, - 0.754415094852448f, -0.430433481931686f, 0.754084885120392f, - -0.430628478527069f, - 0.753754496574402f, -0.430823236703873f, 0.753423988819122f, - -0.431017726659775f, - 0.753093302249908f, -0.431211978197098f, 0.752762496471405f, - -0.431405961513519f, - 0.752431571483612f, -0.431599706411362f, 0.752100467681885f, - -0.431793183088303f, - 0.751769185066223f, -0.431986421346664f, 0.751437783241272f, - -0.432179391384125f, - 0.751106262207031f, -0.432372123003006f, 0.750774562358856f, - -0.432564586400986f, - 0.750442683696747f, -0.432756811380386f, 0.750110685825348f, - -0.432948768138886f, - 0.749778568744659f, -0.433140486478806f, 0.749446272850037f, - -0.433331936597824f, - 0.749113857746124f, -0.433523118495941f, 0.748781263828278f, - -0.433714061975479f, - 0.748448550701141f, -0.433904737234116f, 0.748115658760071f, - -0.434095174074173f, - 0.747782647609711f, -0.434285342693329f, 0.747449457645416f, - -0.434475272893906f, - 0.747116148471832f, -0.434664934873581f, 0.746782720088959f, - -0.434854328632355f, - 0.746449112892151f, -0.435043483972549f, 0.746115326881409f, - -0.435232400894165f, - 0.745781481266022f, -0.435421019792557f, 0.745447397232056f, - -0.435609430074692f, - 0.745113253593445f, -0.435797542333603f, 0.744778931140900f, - -0.435985416173935f, - 0.744444429874420f, -0.436173021793365f, 0.744109809398651f, - -0.436360388994217f, - 0.743775069713593f, -0.436547487974167f, 0.743440151214600f, - -0.436734348535538f, - 0.743105113506317f, -0.436920911073685f, 0.742769956588745f, - -0.437107264995575f, - 0.742434620857239f, -0.437293320894241f, 0.742099165916443f, - -0.437479138374329f, - 0.741763532161713f, -0.437664687633514f, 0.741427779197693f, - -0.437849998474121f, - 0.741091907024384f, -0.438035041093826f, 0.740755856037140f, - -0.438219845294952f, - 0.740419685840607f, -0.438404351472855f, 0.740083336830139f, - -0.438588619232178f, - 0.739746868610382f, -0.438772648572922f, 0.739410281181335f, - -0.438956409692764f, - 0.739073514938354f, -0.439139902591705f, 0.738736629486084f, - -0.439323127269745f, - 0.738399624824524f, -0.439506113529205f, 0.738062441349030f, - -0.439688831567764f, - 0.737725138664246f, -0.439871311187744f, 0.737387716770172f, - -0.440053492784500f, - 0.737050116062164f, -0.440235435962677f, 0.736712396144867f, - -0.440417140722275f, - 0.736374497413635f, -0.440598547458649f, 0.736036539077759f, - -0.440779715776443f, - 0.735698342323303f, -0.440960645675659f, 0.735360085964203f, - -0.441141277551651f, - 0.735021650791168f, -0.441321671009064f, 0.734683096408844f, - -0.441501796245575f, - 0.734344422817230f, -0.441681683063507f, 0.734005570411682f, - -0.441861271858215f, - 0.733666598796844f, -0.442040622234344f, 0.733327507972717f, - -0.442219734191895f, - 0.732988238334656f, -0.442398548126221f, 0.732648849487305f, - -0.442577123641968f, - 0.732309341430664f, -0.442755430936813f, 0.731969714164734f, - -0.442933470010757f, - 0.731629908084869f, -0.443111270666122f, 0.731289982795715f, - -0.443288803100586f, - 0.730949878692627f, -0.443466067314148f, 0.730609714984894f, - -0.443643063306808f, - 0.730269372463226f, -0.443819820880890f, 0.729928910732269f, - -0.443996280431747f, - 0.729588270187378f, -0.444172531366348f, 0.729247510433197f, - -0.444348484277725f, - 0.728906631469727f, -0.444524168968201f, 0.728565633296967f, - -0.444699615240097f, - 0.728224515914917f, -0.444874793291092f, 0.727883219718933f, - -0.445049703121185f, - 0.727541804313660f, -0.445224374532700f, 0.727200269699097f, - -0.445398747920990f, - 0.726858556270599f, -0.445572882890701f, 0.726516723632813f, - -0.445746749639511f, - 0.726174771785736f, -0.445920348167419f, 0.725832700729370f, - -0.446093708276749f, - 0.725490510463715f, -0.446266770362854f, 0.725148141384125f, - -0.446439594030380f, - 0.724805653095245f, -0.446612149477005f, 0.724463045597076f, - -0.446784436702728f, - 0.724120318889618f, -0.446956485509872f, 0.723777413368225f, - -0.447128236293793f, - 0.723434448242188f, -0.447299748659134f, 0.723091304302216f, - -0.447470992803574f, - 0.722747981548309f, -0.447641968727112f, 0.722404599189758f, - -0.447812676429749f, - 0.722061097621918f, -0.447983115911484f, 0.721717417240143f, - -0.448153316974640f, - 0.721373617649078f, -0.448323249816895f, 0.721029698848724f, - -0.448492884635925f, - 0.720685660839081f, -0.448662281036377f, 0.720341444015503f, - -0.448831409215927f, - 0.719997107982636f, -0.449000298976898f, 0.719652712345123f, - -0.449168890714645f, - 0.719308137893677f, -0.449337244033813f, 0.718963444232941f, - -0.449505299329758f, - 0.718618571758270f, -0.449673116207123f, 0.718273639678955f, - -0.449840664863586f, - 0.717928528785706f, -0.450007945299149f, 0.717583298683167f, - -0.450174957513809f, - 0.717238008975983f, -0.450341701507568f, 0.716892480850220f, - -0.450508207082748f, - 0.716546893119812f, -0.450674414634705f, 0.716201186180115f, - -0.450840383768082f, - 0.715855300426483f, -0.451006084680557f, 0.715509355068207f, - -0.451171487569809f, - 0.715163230895996f, -0.451336652040482f, 0.714816987514496f, - -0.451501548290253f, - 0.714470624923706f, -0.451666176319122f, 0.714124143123627f, - -0.451830536127090f, - 0.713777542114258f, -0.451994657516479f, 0.713430821895599f, - -0.452158480882645f, - 0.713083922863007f, -0.452322036027908f, 0.712736964225769f, - -0.452485352754593f, - 0.712389826774597f, -0.452648371458054f, 0.712042629718781f, - -0.452811151742935f, - 0.711695253849030f, -0.452973634004593f, 0.711347758769989f, - -0.453135877847672f, - 0.711000144481659f, -0.453297853469849f, 0.710652410984039f, - -0.453459560871124f, - 0.710304558277130f, -0.453621000051498f, 0.709956526756287f, - -0.453782171010971f, - 0.709608435630798f, -0.453943043947220f, 0.709260225296021f, - -0.454103678464890f, - 0.708911836147308f, -0.454264044761658f, 0.708563387393951f, - -0.454424172639847f, - 0.708214759826660f, -0.454584002494812f, 0.707866072654724f, - -0.454743564128876f, - 0.707517206668854f, -0.454902857542038f, 0.707168221473694f, - -0.455061882734299f, - 0.706819176673889f, -0.455220639705658f, 0.706469953060150f, - -0.455379128456116f, - 0.706120610237122f, -0.455537378787994f, 0.705771148204803f, - -0.455695331096649f, - 0.705421566963196f, -0.455853015184402f, 0.705071866512299f, - -0.456010431051254f, - 0.704722046852112f, -0.456167578697205f, 0.704372167587280f, - -0.456324487924576f, - 0.704022109508514f, -0.456481099128723f, 0.703671932220459f, - -0.456637442111969f, - 0.703321635723114f, -0.456793516874313f, 0.702971220016479f, - -0.456949323415756f, - 0.702620685100555f, -0.457104891538620f, 0.702270030975342f, - -0.457260161638260f, - 0.701919257640839f, -0.457415163516998f, 0.701568365097046f, - -0.457569897174835f, - 0.701217353343964f, -0.457724362611771f, 0.700866222381592f, - -0.457878559827805f, - 0.700514972209930f, -0.458032488822937f, 0.700163602828979f, - -0.458186149597168f, - 0.699812114238739f, -0.458339542150497f, 0.699460506439209f, - -0.458492636680603f, - 0.699108779430389f, -0.458645492792130f, 0.698756933212280f, - -0.458798080682755f, - 0.698404967784882f, -0.458950400352478f, 0.698052942752838f, - -0.459102421998978f, - 0.697700738906860f, -0.459254205226898f, 0.697348415851593f, - -0.459405690431595f, - 0.696996033191681f, -0.459556937217712f, 0.696643471717834f, - -0.459707885980606f, - 0.696290850639343f, -0.459858566522598f, 0.695938050746918f, - -0.460008978843689f, - 0.695585191249847f, -0.460159152746201f, 0.695232212543488f, - -0.460309028625488f, - 0.694879114627838f, -0.460458606481552f, 0.694525837898254f, - -0.460607945919037f, - 0.694172501564026f, -0.460757017135620f, 0.693819046020508f, - -0.460905820131302f, - 0.693465530872345f, -0.461054325103760f, 0.693111836910248f, - -0.461202591657639f, - 0.692758023738861f, -0.461350560188293f, 0.692404091358185f, - -0.461498260498047f, - 0.692050099372864f, -0.461645722389221f, 0.691695988178253f, - -0.461792886257172f, - 0.691341698169708f, -0.461939752101898f, 0.690987348556519f, - -0.462086379528046f, - 0.690632879734039f, -0.462232738733292f, 0.690278291702271f, - -0.462378799915314f, - 0.689923584461212f, -0.462524622678757f, 0.689568817615509f, - -0.462670147418976f, - 0.689213871955872f, -0.462815403938293f, 0.688858866691589f, - -0.462960392236710f, - 0.688503682613373f, -0.463105112314224f, 0.688148438930511f, - -0.463249564170837f, - 0.687793076038361f, -0.463393747806549f, 0.687437593936920f, - -0.463537633419037f, - 0.687082052230835f, -0.463681250810623f, 0.686726331710815f, - -0.463824629783630f, - 0.686370551586151f, -0.463967710733414f, 0.686014592647552f, - -0.464110493659973f, - 0.685658574104309f, -0.464253038167953f, 0.685302436351776f, - -0.464395314455032f, - 0.684946238994598f, -0.464537292718887f, 0.684589862823486f, - -0.464679002761841f, - 0.684233427047729f, -0.464820444583893f, 0.683876872062683f, - -0.464961618185043f, - 0.683520197868347f, -0.465102523565292f, 0.683163404464722f, - -0.465243130922318f, - 0.682806491851807f, -0.465383470058441f, 0.682449519634247f, - -0.465523540973663f, - 0.682092368602753f, -0.465663343667984f, 0.681735157966614f, - -0.465802878141403f, - 0.681377887725830f, -0.465942144393921f, 0.681020438671112f, - -0.466081112623215f, - 0.680662930011749f, -0.466219812631607f, 0.680305242538452f, - -0.466358244419098f, - 0.679947495460510f, -0.466496407985687f, 0.679589688777924f, - -0.466634273529053f, - 0.679231703281403f, -0.466771900653839f, 0.678873658180237f, - -0.466909229755402f, - 0.678515493869781f, -0.467046260833740f, 0.678157210350037f, - -0.467183053493500f, - 0.677798807621002f, -0.467319577932358f, 0.677440345287323f, - -0.467455804347992f, - 0.677081763744354f, -0.467591762542725f, 0.676723062992096f, - -0.467727422714233f, - 0.676364302635193f, -0.467862844467163f, 0.676005363464355f, - -0.467997968196869f, - 0.675646364688873f, -0.468132823705673f, 0.675287246704102f, - -0.468267410993576f, - 0.674928069114685f, -0.468401730060577f, 0.674568772315979f, - -0.468535751104355f, - 0.674209356307983f, -0.468669503927231f, 0.673849821090698f, - -0.468802988529205f, - 0.673490226268768f, -0.468936175107956f, 0.673130512237549f, - -0.469069123268127f, - 0.672770678997040f, -0.469201773405075f, 0.672410726547241f, - -0.469334155321121f, - 0.672050714492798f, -0.469466239213943f, 0.671690583229065f, - -0.469598054885864f, - 0.671330332756042f, -0.469729602336884f, 0.670970022678375f, - -0.469860881567001f, - 0.670609593391418f, -0.469991862773895f, 0.670249044895172f, - -0.470122605562210f, - 0.669888436794281f, -0.470253020524979f, 0.669527709484100f, - -0.470383197069168f, - 0.669166862964630f, -0.470513075590134f, 0.668805956840515f, - -0.470642685890198f, - 0.668444931507111f, -0.470772027969360f, 0.668083786964417f, - -0.470901101827621f, - 0.667722582817078f, -0.471029877662659f, 0.667361259460449f, - -0.471158385276794f, - 0.666999816894531f, -0.471286594867706f, 0.666638314723969f, - -0.471414536237717f, - 0.666276693344116f, -0.471542209386826f, 0.665914952754974f, - -0.471669614315033f, - 0.665553152561188f, -0.471796721220016f, 0.665191233158112f, - -0.471923559904099f, - 0.664829254150391f, -0.472050130367279f, 0.664467096328735f, - -0.472176402807236f, - 0.664104938507080f, -0.472302407026291f, 0.663742601871490f, - -0.472428143024445f, - 0.663380205631256f, -0.472553610801697f, 0.663017749786377f, - -0.472678780555725f, - 0.662655174732208f, -0.472803652286530f, 0.662292480468750f, - -0.472928285598755f, - 0.661929666996002f, -0.473052620887756f, 0.661566793918610f, - -0.473176687955856f, - 0.661203861236572f, -0.473300457000732f, 0.660840749740601f, - -0.473423957824707f, - 0.660477638244629f, -0.473547190427780f, 0.660114347934723f, - -0.473670125007629f, - 0.659750998020172f, -0.473792791366577f, 0.659387588500977f, - -0.473915189504623f, - 0.659024059772491f, -0.474037289619446f, 0.658660411834717f, - -0.474159121513367f, - 0.658296704292297f, -0.474280685186386f, 0.657932877540588f, - -0.474401950836182f, - 0.657568991184235f, -0.474522948265076f, 0.657204985618591f, - -0.474643647670746f, - 0.656840860843658f, -0.474764078855515f, 0.656476676464081f, - -0.474884241819382f, - 0.656112432479858f, -0.475004136562347f, 0.655748009681702f, - -0.475123733282089f, - 0.655383586883545f, -0.475243031978607f, 0.655019044876099f, - -0.475362062454224f, - 0.654654383659363f, -0.475480824708939f, 0.654289662837982f, - -0.475599318742752f, - 0.653924822807312f, -0.475717514753342f, 0.653559923171997f, - -0.475835442543030f, - 0.653194904327393f, -0.475953072309494f, 0.652829825878143f, - -0.476070433855057f, - 0.652464628219604f, -0.476187497377396f, 0.652099311351776f, - -0.476304292678833f, - 0.651733994483948f, -0.476420819759369f, 0.651368498802185f, - -0.476537048816681f, - 0.651003003120422f, -0.476653009653091f, 0.650637328624725f, - -0.476768702268600f, - 0.650271594524384f, -0.476884096860886f, 0.649905800819397f, - -0.476999223232269f, - 0.649539887905121f, -0.477114051580429f, 0.649173915386200f, - -0.477228611707687f, - 0.648807883262634f, -0.477342873811722f, 0.648441672325134f, - -0.477456867694855f, - 0.648075461387634f, -0.477570593357086f, 0.647709131240845f, - -0.477684020996094f, - 0.647342681884766f, -0.477797180414200f, 0.646976172924042f, - -0.477910041809082f, - 0.646609604358673f, -0.478022634983063f, 0.646242916584015f, - -0.478134930133820f, - 0.645876109600067f, -0.478246957063675f, 0.645509302616119f, - -0.478358715772629f, - 0.645142316818237f, -0.478470176458359f, 0.644775331020355f, - -0.478581339120865f, - 0.644408226013184f, -0.478692263364792f, 0.644041001796722f, - -0.478802859783173f, - 0.643673717975616f, -0.478913217782974f, 0.643306374549866f, - -0.479023247957230f, - 0.642938911914825f, -0.479133039712906f, 0.642571389675140f, - -0.479242533445358f, - 0.642203748226166f, -0.479351729154587f, 0.641836047172546f, - -0.479460656642914f, - 0.641468286514282f, -0.479569315910339f, 0.641100406646729f, - -0.479677677154541f, - 0.640732467174530f, -0.479785770177841f, 0.640364408493042f, - -0.479893565177917f, - 0.639996349811554f, -0.480001062154770f, 0.639628112316132f, - -0.480108320713043f, - 0.639259815216064f, -0.480215251445770f, 0.638891458511353f, - -0.480321943759918f, - 0.638523042201996f, -0.480428308248520f, 0.638154506683350f, - -0.480534434318542f, - 0.637785911560059f, -0.480640232563019f, 0.637417197227478f, - -0.480745792388916f, - 0.637048482894897f, -0.480851024389267f, 0.636679589748383f, - -0.480956017971039f, - 0.636310696601868f, -0.481060713529587f, 0.635941684246063f, - -0.481165111064911f, - 0.635572552680969f, -0.481269240379334f, 0.635203421115875f, - -0.481373071670532f, - 0.634834170341492f, -0.481476634740829f, 0.634464859962463f, - -0.481579899787903f, - 0.634095430374146f, -0.481682896614075f, 0.633725941181183f, - -0.481785595417023f, - 0.633356392383575f, -0.481888025999069f, 0.632986724376678f, - -0.481990188360214f, - 0.632616996765137f, -0.482092022895813f, 0.632247209548950f, - -0.482193619012833f, - 0.631877362728119f, -0.482294887304306f, 0.631507396697998f, - -0.482395917177200f, - 0.631137371063232f, -0.482496619224548f, 0.630767226219177f, - -0.482597053050995f, - 0.630397081375122f, -0.482697218656540f, 0.630026817321777f, - -0.482797086238861f, - 0.629656434059143f, -0.482896685600281f, 0.629286050796509f, - -0.482995986938477f, - 0.628915548324585f, -0.483094990253448f, 0.628544986248016f, - -0.483193725347519f, - 0.628174364566803f, -0.483292192220688f, 0.627803623676300f, - -0.483390361070633f, - 0.627432823181152f, -0.483488231897354f, 0.627061963081360f, - -0.483585834503174f, - 0.626691043376923f, -0.483683139085770f, 0.626320004463196f, - -0.483780175447464f, - 0.625948905944824f, -0.483876913785934f, 0.625577747821808f, - -0.483973383903503f, - 0.625206530094147f, -0.484069555997849f, 0.624835193157196f, - -0.484165430068970f, - 0.624463796615601f, -0.484261035919189f, 0.624092340469360f, - -0.484356373548508f, - 0.623720824718475f, -0.484451413154602f, 0.623349189758301f, - -0.484546154737473f, - 0.622977554798126f, -0.484640628099442f, 0.622605800628662f, - -0.484734803438187f, - 0.622233927249908f, -0.484828680753708f, 0.621862053871155f, - -0.484922289848328f, - 0.621490061283112f, -0.485015630722046f, 0.621118068695068f, - -0.485108673572540f, - 0.620745956897736f, -0.485201418399811f, 0.620373785495758f, - -0.485293895006180f, - 0.620001494884491f, -0.485386073589325f, 0.619629204273224f, - -0.485477954149246f, - 0.619256794452667f, -0.485569566488266f, 0.618884325027466f, - -0.485660910606384f, - 0.618511795997620f, -0.485751956701279f, 0.618139207363129f, - -0.485842704772949f, - 0.617766559123993f, -0.485933154821396f, 0.617393791675568f, - -0.486023366451263f, - 0.617020964622498f, -0.486113250255585f, 0.616648077964783f, - -0.486202865839005f, - 0.616275131702423f, -0.486292183399200f, 0.615902125835419f, - -0.486381232738495f, - 0.615529060363770f, -0.486469984054565f, 0.615155875682831f, - -0.486558437347412f, - 0.614782691001892f, -0.486646622419357f, 0.614409387111664f, - -0.486734509468079f, - 0.614036023616791f, -0.486822128295898f, 0.613662600517273f, - -0.486909449100494f, - 0.613289117813110f, -0.486996471881866f, 0.612915575504303f, - -0.487083226442337f, - 0.612541973590851f, -0.487169682979584f, 0.612168252468109f, - -0.487255871295929f, - 0.611794531345367f, -0.487341761589050f, 0.611420691013336f, - -0.487427353858948f, - 0.611046791076660f, -0.487512677907944f, 0.610672831535339f, - -0.487597703933716f, - 0.610298871994019f, -0.487682431936264f, 0.609924793243408f, - -0.487766891717911f, - 0.609550595283508f, -0.487851053476334f, 0.609176397323608f, - -0.487934947013855f, - 0.608802139759064f, -0.488018542528152f, 0.608427822589874f, - -0.488101840019226f, - 0.608053386211395f, -0.488184869289398f, 0.607678949832916f, - -0.488267600536346f, - 0.607304394245148f, -0.488350033760071f, 0.606929838657379f, - -0.488432198762894f, - 0.606555163860321f, -0.488514065742493f, 0.606180429458618f, - -0.488595664501190f, - 0.605805635452271f, -0.488676935434341f, 0.605430841445923f, - -0.488757967948914f, - 0.605055928230286f, -0.488838672637939f, 0.604680955410004f, - -0.488919109106064f, - 0.604305922985077f, -0.488999247550964f, 0.603930830955505f, - -0.489079117774963f, - 0.603555679321289f, -0.489158689975739f, 0.603180468082428f, - -0.489237964153290f, - 0.602805197238922f, -0.489316970109940f, 0.602429866790771f, - -0.489395678043365f, - 0.602054476737976f, -0.489474087953568f, 0.601679027080536f, - -0.489552229642868f, - 0.601303517818451f, -0.489630073308945f, 0.600927948951721f, - -0.489707618951797f, - 0.600552320480347f, -0.489784896373749f, 0.600176632404327f, - -0.489861875772476f, - 0.599800884723663f, -0.489938557147980f, 0.599425077438354f, - -0.490014940500259f, - 0.599049210548401f, -0.490091055631638f, 0.598673284053802f, - -0.490166902542114f, - 0.598297297954559f, -0.490242421627045f, 0.597921252250671f, - -0.490317672491074f, - 0.597545146942139f, -0.490392625331879f, 0.597168982028961f, - -0.490467309951782f, - 0.596792817115784f, -0.490541696548462f, 0.596416532993317f, - -0.490615785121918f, - 0.596040189266205f, -0.490689605474472f, 0.595663845539093f, - -0.490763127803802f, - 0.595287382602692f, -0.490836352109909f, 0.594910860061646f, - -0.490909278392792f, - 0.594534337520599f, -0.490981936454773f, 0.594157755374908f, - -0.491054296493530f, - 0.593781054019928f, -0.491126358509064f, 0.593404352664948f, - -0.491198152303696f, - 0.593027591705322f, -0.491269648075104f, 0.592650771141052f, - -0.491340845823288f, - 0.592273890972137f, -0.491411775350571f, 0.591896951198578f, - -0.491482406854630f, - 0.591519951820374f, -0.491552740335464f, 0.591142892837524f, - -0.491622805595398f, - 0.590765833854675f, -0.491692543029785f, 0.590388655662537f, - -0.491762012243271f, - 0.590011477470398f, -0.491831213235855f, 0.589634180068970f, - -0.491900116205215f, - 0.589256882667542f, -0.491968721151352f, 0.588879525661469f, - -0.492037028074265f, - 0.588502109050751f, -0.492105036973953f, 0.588124632835388f, - -0.492172777652740f, - 0.587747097015381f, -0.492240220308304f, 0.587369561195374f, - -0.492307394742966f, - 0.586991965770721f, -0.492374241352081f, 0.586614251136780f, - -0.492440819740295f, - 0.586236536502838f, -0.492507129907608f, 0.585858762264252f, - -0.492573112249374f, - 0.585480928421021f, -0.492638826370239f, 0.585103094577789f, - -0.492704242467880f, - 0.584725141525269f, -0.492769360542297f, 0.584347188472748f, - -0.492834210395813f, - 0.583969175815582f, -0.492898762226105f, 0.583591103553772f, - -0.492963016033173f, - 0.583212971687317f, -0.493026971817017f, 0.582834780216217f, - -0.493090659379959f, - 0.582456588745117f, -0.493154048919678f, 0.582078278064728f, - -0.493217140436172f, - 0.581699967384338f, -0.493279963731766f, 0.581321597099304f, - -0.493342459201813f, - 0.580943167209625f, -0.493404686450958f, 0.580564737319946f, - -0.493466645479202f, - 0.580186247825623f, -0.493528276681900f, 0.579807698726654f, - -0.493589639663696f, - 0.579429090023041f, -0.493650704622269f, 0.579050421714783f, - -0.493711471557617f, - 0.578671753406525f, -0.493771970272064f, 0.578292965888977f, - -0.493832170963287f, - 0.577914178371429f, -0.493892073631287f, 0.577535390853882f, - -0.493951678276062f, - 0.577156484127045f, -0.494011014699936f, 0.576777577400208f, - -0.494070053100586f, - 0.576398611068726f, -0.494128793478012f, 0.576019585132599f, - -0.494187235832214f, - 0.575640499591827f, -0.494245409965515f, 0.575261414051056f, - -0.494303256273270f, - 0.574882268905640f, -0.494360834360123f, 0.574503064155579f, - -0.494418144226074f, - 0.574123859405518f, -0.494475126266479f, 0.573744535446167f, - -0.494531840085983f, - 0.573365211486816f, -0.494588255882263f, 0.572985887527466f, - -0.494644373655319f, - 0.572606444358826f, -0.494700223207474f, 0.572227001190186f, - -0.494755744934082f, - 0.571847498416901f, -0.494810998439789f, 0.571467995643616f, - -0.494865983724594f, - 0.571088373661041f, -0.494920641183853f, 0.570708811283112f, - -0.494975030422211f, - 0.570329129695892f, -0.495029091835022f, 0.569949388504028f, - -0.495082914829254f, - 0.569569647312164f, -0.495136409997940f, 0.569189906120300f, - -0.495189607143402f, - 0.568810045719147f, -0.495242536067963f, 0.568430185317993f, - -0.495295166969299f, - 0.568050265312195f, -0.495347499847412f, 0.567670345306396f, - -0.495399564504623f, - 0.567290365695953f, -0.495451331138611f, 0.566910326480865f, - -0.495502769947052f, - 0.566530287265778f, -0.495553970336914f, 0.566150128841400f, - -0.495604842901230f, - 0.565770030021667f, -0.495655417442322f, 0.565389811992645f, - -0.495705723762512f, - 0.565009593963623f, -0.495755732059479f, 0.564629375934601f, - -0.495805442333221f, - 0.564249038696289f, -0.495854884386063f, 0.563868701457977f, - -0.495903998613358f, - 0.563488364219666f, -0.495952844619751f, 0.563107967376709f, - -0.496001392602921f, - 0.562727510929108f, -0.496049642562866f, 0.562346994876862f, - -0.496097624301910f, - 0.561966478824615f, -0.496145308017731f, 0.561585903167725f, - -0.496192663908005f, - 0.561205327510834f, -0.496239781379700f, 0.560824692249298f, - -0.496286571025848f, - 0.560444056987762f, -0.496333062648773f, 0.560063362121582f, - -0.496379286050797f, - 0.559682607650757f, -0.496425211429596f, 0.559301853179932f, - -0.496470838785172f, - 0.558921039104462f, -0.496516168117523f, 0.558540165424347f, - -0.496561229228973f, - 0.558159291744232f, -0.496605962514877f, 0.557778418064117f, - -0.496650427579880f, - 0.557397484779358f, -0.496694594621658f, 0.557016491889954f, - -0.496738493442535f, - 0.556635499000549f, -0.496782064437866f, 0.556254446506500f, - -0.496825367212296f, - 0.555873334407806f, -0.496868371963501f, 0.555492222309113f, - -0.496911078691483f, - 0.555111110210419f, -0.496953487396240f, 0.554729938507080f, - -0.496995598077774f, - 0.554348707199097f, -0.497037440538406f, 0.553967475891113f, - -0.497078984975815f, - 0.553586184978485f, -0.497120231389999f, 0.553204894065857f, - -0.497161179780960f, - 0.552823603153229f, -0.497201830148697f, 0.552442193031311f, - -0.497242212295532f, - 0.552060842514038f, -0.497282296419144f, 0.551679372787476f, - -0.497322082519531f, - 0.551297962665558f, -0.497361570596695f, 0.550916433334351f, - -0.497400760650635f, - 0.550534904003143f, -0.497439652681351f, 0.550153374671936f, - -0.497478276491165f, - 0.549771785736084f, -0.497516602277756f, 0.549390196800232f, - -0.497554630041122f, - 0.549008548259735f, -0.497592359781265f, 0.548626899719238f, - -0.497629791498184f, - 0.548245191574097f, -0.497666954994202f, 0.547863483428955f, - -0.497703820466995f, - 0.547481775283813f, -0.497740387916565f, 0.547099947929382f, - -0.497776657342911f, - 0.546718180179596f, -0.497812628746033f, 0.546336352825165f, - -0.497848302125931f, - 0.545954465866089f, -0.497883707284927f, 0.545572578907013f, - -0.497918814420700f, - 0.545190691947937f, -0.497953623533249f, 0.544808745384216f, - -0.497988134622574f, - 0.544426798820496f, -0.498022347688675f, 0.544044792652130f, - -0.498056292533875f, - 0.543662786483765f, -0.498089909553528f, 0.543280720710754f, - -0.498123258352280f, - 0.542898654937744f, -0.498156309127808f, 0.542516589164734f, - -0.498189061880112f, - 0.542134463787079f, -0.498221516609192f, 0.541752278804779f, - -0.498253703117371f, - 0.541370153427124f, -0.498285561800003f, 0.540987968444824f, - -0.498317152261734f, - 0.540605723857880f, -0.498348444700241f, 0.540223479270935f, - -0.498379439115524f, - 0.539841234683990f, -0.498410135507584f, 0.539458930492401f, - -0.498440563678741f, - 0.539076626300812f, -0.498470664024353f, 0.538694262504578f, - -0.498500496149063f, - 0.538311958312988f, -0.498530030250549f, 0.537929534912109f, - -0.498559266328812f, - 0.537547171115875f, -0.498588204383850f, 0.537164747714996f, - -0.498616874217987f, - 0.536782264709473f, -0.498645216226578f, 0.536399841308594f, - -0.498673290014267f, - 0.536017298698425f, -0.498701065778732f, 0.535634815692902f, - -0.498728543519974f, - 0.535252273082733f, -0.498755723237991f, 0.534869730472565f, - -0.498782604932785f, - 0.534487187862396f, -0.498809218406677f, 0.534104585647583f, - -0.498835533857346f, - 0.533721983432770f, -0.498861521482468f, 0.533339321613312f, - -0.498887240886688f, - 0.532956659793854f, -0.498912662267685f, 0.532573997974396f, - -0.498937815427780f, - 0.532191336154938f, -0.498962640762329f, 0.531808614730835f, - -0.498987197875977f, - 0.531425893306732f, -0.499011427164078f, 0.531043112277985f, - -0.499035388231277f, - 0.530660390853882f, -0.499059051275253f, 0.530277609825134f, - -0.499082416296005f, - 0.529894769191742f, -0.499105513095856f, 0.529511988162994f, - -0.499128282070160f, - 0.529129147529602f, -0.499150782823563f, 0.528746306896210f, - -0.499172955751419f, - 0.528363406658173f, -0.499194860458374f, 0.527980506420136f, - -0.499216467142105f, - 0.527597606182098f, -0.499237775802612f, 0.527214705944061f, - -0.499258816242218f, - 0.526831746101379f, -0.499279528856277f, 0.526448845863342f, - -0.499299973249435f, - 0.526065826416016f, -0.499320119619370f, 0.525682866573334f, - -0.499339967966080f, - 0.525299847126007f, -0.499359518289566f, 0.524916887283325f, - -0.499378770589828f, - 0.524533808231354f, -0.499397724866867f, 0.524150788784027f, - -0.499416410923004f, - 0.523767769336700f, -0.499434769153595f, 0.523384690284729f, - -0.499452859163284f, - 0.523001611232758f, -0.499470651149750f, 0.522618472576141f, - -0.499488145112991f, - 0.522235393524170f, -0.499505341053009f, 0.521852254867554f, - -0.499522238969803f, - 0.521469116210938f, -0.499538868665695f, 0.521085977554321f, - -0.499555170536041f, - 0.520702838897705f, -0.499571204185486f, 0.520319640636444f, - -0.499586939811707f, - 0.519936442375183f, -0.499602377414703f, 0.519553244113922f, - -0.499617516994476f, - 0.519170045852661f, -0.499632388353348f, 0.518786847591400f, - -0.499646931886673f, - 0.518403589725494f, -0.499661177396774f, 0.518020391464233f, - -0.499675154685974f, - 0.517637133598328f, -0.499688833951950f, 0.517253875732422f, - -0.499702215194702f, - 0.516870558261871f, -0.499715298414230f, 0.516487300395966f, - -0.499728083610535f, - 0.516103982925415f, -0.499740600585938f, 0.515720725059509f, - -0.499752789735794f, - 0.515337407588959f, -0.499764710664749f, 0.514954090118408f, - -0.499776333570480f, - 0.514570772647858f, -0.499787658452988f, 0.514187395572662f, - -0.499798685312271f, - 0.513804078102112f, -0.499809414148331f, 0.513420701026917f, - -0.499819844961166f, - 0.513037383556366f, -0.499830007553101f, 0.512654006481171f, - -0.499839842319489f, - 0.512270629405975f, -0.499849408864975f, 0.511887252330780f, - -0.499858677387238f, - 0.511503815650940f, -0.499867647886276f, 0.511120438575745f, - -0.499876320362091f, - 0.510737061500549f, -0.499884694814682f, 0.510353624820709f, - -0.499892801046371f, - 0.509970188140869f, -0.499900579452515f, 0.509586811065674f, - -0.499908089637756f, - 0.509203374385834f, -0.499915301799774f, 0.508819937705994f, - -0.499922215938568f, - 0.508436501026154f, -0.499928832054138f, 0.508053064346313f, - -0.499935150146484f, - 0.507669627666473f, -0.499941170215607f, 0.507286131381989f, - -0.499946922063828f, - 0.506902694702148f, -0.499952346086502f, 0.506519258022308f, - -0.499957501888275f, - 0.506135761737823f, -0.499962359666824f, 0.505752325057983f, - -0.499966919422150f, - 0.505368828773499f, -0.499971181154251f, 0.504985332489014f, - -0.499975144863129f, - 0.504601895809174f, -0.499978810548782f, 0.504218399524689f, - -0.499982208013535f, - 0.503834903240204f, -0.499985307455063f, 0.503451406955719f, - -0.499988079071045f, - 0.503067970275879f, -0.499990582466125f, 0.502684473991394f, - -0.499992787837982f, - 0.502300977706909f, -0.499994695186615f, 0.501917481422424f, - -0.499996334314346f, - 0.501533985137939f, -0.499997645616531f, 0.501150488853455f, - -0.499998688697815f, - 0.500766992568970f, -0.499999403953552f, 0.500383496284485f, - -0.499999850988388f, -}; - - - -/** -* @brief Initialization function for the floating-point RFFT/RIFFT. -* @deprecated Do not use this function. It has been superceded by \ref arm_rfft_fast_init_f32 and will be removed -* in the future. -* @param[in,out] *S points to an instance of the floating-point RFFT/RIFFT structure. -* @param[in,out] *S_CFFT points to an instance of the floating-point CFFT/CIFFT structure. -* @param[in] fftLenReal length of the FFT. -* @param[in] ifftFlagR flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. -* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. -* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported value. -* -* \par Description: -* \par -* The parameter <code>fftLenReal</code> Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048. -* \par -* The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed. -* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. -* \par -* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. -* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. -* \par -* This function also initializes Twiddle factor table. -*/ - -arm_status arm_rfft_init_f32( - arm_rfft_instance_f32 * S, - arm_cfft_radix4_instance_f32 * S_CFFT, - uint32_t fftLenReal, - uint32_t ifftFlagR, - uint32_t bitReverseFlag) -{ - - /* Initialise the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - - /* Initialize the Real FFT length */ - S->fftLenReal = (uint16_t) fftLenReal; - - /* Initialize the Complex FFT length */ - S->fftLenBy2 = (uint16_t) fftLenReal / 2u; - - /* Initialize the Twiddle coefficientA pointer */ - S->pTwiddleAReal = (float32_t *) realCoefA; - - /* Initialize the Twiddle coefficientB pointer */ - S->pTwiddleBReal = (float32_t *) realCoefB; - - /* Initialize the Flag for selection of RFFT or RIFFT */ - S->ifftFlagR = (uint8_t) ifftFlagR; - - /* Initialize the Flag for calculation Bit reversal or not */ - S->bitReverseFlagR = (uint8_t) bitReverseFlag; - - /* Initializations of structure parameters depending on the FFT length */ - switch (S->fftLenReal) - { - /* Init table modifier value */ - case 8192u: - S->twidCoefRModifier = 1u; - break; - case 2048u: - S->twidCoefRModifier = 4u; - break; - case 512u: - S->twidCoefRModifier = 16u; - break; - case 128u: - S->twidCoefRModifier = 64u; - break; - default: - /* Reporting argument error if rfftSize is not valid value */ - status = ARM_MATH_ARGUMENT_ERROR; - break; - } - - /* Init Complex FFT Instance */ - S->pCfft = S_CFFT; - - if(S->ifftFlagR) - { - /* Initializes the CIFFT Module for fftLenreal/2 length */ - arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 1u, 0u); - } - else - { - /* Initializes the CFFT Module for fftLenreal/2 length */ - arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 0u, 0u); - } - - /* return the status of RFFT Init function */ - return (status); - -} - - /** - * @} end of RealFFT group - */
--- a/cmsis_dsp/TransformFunctions/arm_rfft_init_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,2234 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_rfft_init_q15.c -* -* Description: RFFT & RIFFT Q15 initialisation function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - - -#include "arm_math.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup RealFFT - * @{ - */ - - - -/** -* \par -* Generation floating point real_CoefA array: -* \par -* n = 4096 -* <pre>for (i = 0; i < n; i++) -* { -* pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i)); -* pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i)); -* } </pre> -* \par -* Convert to fixed point Q15 format -* round(pATable[i] * pow(2, 15)) -*/ - - -static const q15_t ALIGN4 realCoefAQ15[8192] = { - 0x4000, 0xc000, 0x3ff3, 0xc000, 0x3fe7, 0xc000, 0x3fda, 0xc000, - 0x3fce, 0xc000, 0x3fc1, 0xc000, 0x3fb5, 0xc000, 0x3fa8, 0xc000, - 0x3f9b, 0xc000, 0x3f8f, 0xc000, 0x3f82, 0xc000, 0x3f76, 0xc001, - 0x3f69, 0xc001, 0x3f5d, 0xc001, 0x3f50, 0xc001, 0x3f44, 0xc001, - 0x3f37, 0xc001, 0x3f2a, 0xc001, 0x3f1e, 0xc002, 0x3f11, 0xc002, - 0x3f05, 0xc002, 0x3ef8, 0xc002, 0x3eec, 0xc002, 0x3edf, 0xc003, - 0x3ed2, 0xc003, 0x3ec6, 0xc003, 0x3eb9, 0xc003, 0x3ead, 0xc004, - 0x3ea0, 0xc004, 0x3e94, 0xc004, 0x3e87, 0xc004, 0x3e7a, 0xc005, - 0x3e6e, 0xc005, 0x3e61, 0xc005, 0x3e55, 0xc006, 0x3e48, 0xc006, - 0x3e3c, 0xc006, 0x3e2f, 0xc007, 0x3e23, 0xc007, 0x3e16, 0xc007, - 0x3e09, 0xc008, 0x3dfd, 0xc008, 0x3df0, 0xc009, 0x3de4, 0xc009, - 0x3dd7, 0xc009, 0x3dcb, 0xc00a, 0x3dbe, 0xc00a, 0x3db2, 0xc00b, - 0x3da5, 0xc00b, 0x3d98, 0xc00c, 0x3d8c, 0xc00c, 0x3d7f, 0xc00d, - 0x3d73, 0xc00d, 0x3d66, 0xc00e, 0x3d5a, 0xc00e, 0x3d4d, 0xc00f, - 0x3d40, 0xc00f, 0x3d34, 0xc010, 0x3d27, 0xc010, 0x3d1b, 0xc011, - 0x3d0e, 0xc011, 0x3d02, 0xc012, 0x3cf5, 0xc013, 0x3ce9, 0xc013, - 0x3cdc, 0xc014, 0x3cd0, 0xc014, 0x3cc3, 0xc015, 0x3cb6, 0xc016, - 0x3caa, 0xc016, 0x3c9d, 0xc017, 0x3c91, 0xc018, 0x3c84, 0xc018, - 0x3c78, 0xc019, 0x3c6b, 0xc01a, 0x3c5f, 0xc01a, 0x3c52, 0xc01b, - 0x3c45, 0xc01c, 0x3c39, 0xc01d, 0x3c2c, 0xc01d, 0x3c20, 0xc01e, - 0x3c13, 0xc01f, 0x3c07, 0xc020, 0x3bfa, 0xc020, 0x3bee, 0xc021, - 0x3be1, 0xc022, 0x3bd5, 0xc023, 0x3bc8, 0xc024, 0x3bbc, 0xc024, - 0x3baf, 0xc025, 0x3ba2, 0xc026, 0x3b96, 0xc027, 0x3b89, 0xc028, - 0x3b7d, 0xc029, 0x3b70, 0xc02a, 0x3b64, 0xc02b, 0x3b57, 0xc02b, - 0x3b4b, 0xc02c, 0x3b3e, 0xc02d, 0x3b32, 0xc02e, 0x3b25, 0xc02f, - 0x3b19, 0xc030, 0x3b0c, 0xc031, 0x3b00, 0xc032, 0x3af3, 0xc033, - 0x3ae6, 0xc034, 0x3ada, 0xc035, 0x3acd, 0xc036, 0x3ac1, 0xc037, - 0x3ab4, 0xc038, 0x3aa8, 0xc039, 0x3a9b, 0xc03a, 0x3a8f, 0xc03b, - 0x3a82, 0xc03c, 0x3a76, 0xc03d, 0x3a69, 0xc03f, 0x3a5d, 0xc040, - 0x3a50, 0xc041, 0x3a44, 0xc042, 0x3a37, 0xc043, 0x3a2b, 0xc044, - 0x3a1e, 0xc045, 0x3a12, 0xc047, 0x3a05, 0xc048, 0x39f9, 0xc049, - 0x39ec, 0xc04a, 0x39e0, 0xc04b, 0x39d3, 0xc04c, 0x39c7, 0xc04e, - 0x39ba, 0xc04f, 0x39ae, 0xc050, 0x39a1, 0xc051, 0x3995, 0xc053, - 0x3988, 0xc054, 0x397c, 0xc055, 0x396f, 0xc056, 0x3963, 0xc058, - 0x3956, 0xc059, 0x394a, 0xc05a, 0x393d, 0xc05c, 0x3931, 0xc05d, - 0x3924, 0xc05e, 0x3918, 0xc060, 0x390b, 0xc061, 0x38ff, 0xc062, - 0x38f2, 0xc064, 0x38e6, 0xc065, 0x38d9, 0xc067, 0x38cd, 0xc068, - 0x38c0, 0xc069, 0x38b4, 0xc06b, 0x38a7, 0xc06c, 0x389b, 0xc06e, - 0x388e, 0xc06f, 0x3882, 0xc071, 0x3875, 0xc072, 0x3869, 0xc074, - 0x385c, 0xc075, 0x3850, 0xc077, 0x3843, 0xc078, 0x3837, 0xc07a, - 0x382a, 0xc07b, 0x381e, 0xc07d, 0x3811, 0xc07e, 0x3805, 0xc080, - 0x37f9, 0xc081, 0x37ec, 0xc083, 0x37e0, 0xc085, 0x37d3, 0xc086, - 0x37c7, 0xc088, 0x37ba, 0xc089, 0x37ae, 0xc08b, 0x37a1, 0xc08d, - 0x3795, 0xc08e, 0x3788, 0xc090, 0x377c, 0xc092, 0x376f, 0xc093, - 0x3763, 0xc095, 0x3757, 0xc097, 0x374a, 0xc098, 0x373e, 0xc09a, - 0x3731, 0xc09c, 0x3725, 0xc09e, 0x3718, 0xc09f, 0x370c, 0xc0a1, - 0x36ff, 0xc0a3, 0x36f3, 0xc0a5, 0x36e7, 0xc0a6, 0x36da, 0xc0a8, - 0x36ce, 0xc0aa, 0x36c1, 0xc0ac, 0x36b5, 0xc0ae, 0x36a8, 0xc0af, - 0x369c, 0xc0b1, 0x3690, 0xc0b3, 0x3683, 0xc0b5, 0x3677, 0xc0b7, - 0x366a, 0xc0b9, 0x365e, 0xc0bb, 0x3651, 0xc0bd, 0x3645, 0xc0be, - 0x3639, 0xc0c0, 0x362c, 0xc0c2, 0x3620, 0xc0c4, 0x3613, 0xc0c6, - 0x3607, 0xc0c8, 0x35fa, 0xc0ca, 0x35ee, 0xc0cc, 0x35e2, 0xc0ce, - 0x35d5, 0xc0d0, 0x35c9, 0xc0d2, 0x35bc, 0xc0d4, 0x35b0, 0xc0d6, - 0x35a4, 0xc0d8, 0x3597, 0xc0da, 0x358b, 0xc0dc, 0x357e, 0xc0de, - 0x3572, 0xc0e0, 0x3566, 0xc0e2, 0x3559, 0xc0e4, 0x354d, 0xc0e7, - 0x3540, 0xc0e9, 0x3534, 0xc0eb, 0x3528, 0xc0ed, 0x351b, 0xc0ef, - 0x350f, 0xc0f1, 0x3503, 0xc0f3, 0x34f6, 0xc0f6, 0x34ea, 0xc0f8, - 0x34dd, 0xc0fa, 0x34d1, 0xc0fc, 0x34c5, 0xc0fe, 0x34b8, 0xc100, - 0x34ac, 0xc103, 0x34a0, 0xc105, 0x3493, 0xc107, 0x3487, 0xc109, - 0x347b, 0xc10c, 0x346e, 0xc10e, 0x3462, 0xc110, 0x3455, 0xc113, - 0x3449, 0xc115, 0x343d, 0xc117, 0x3430, 0xc119, 0x3424, 0xc11c, - 0x3418, 0xc11e, 0x340b, 0xc120, 0x33ff, 0xc123, 0x33f3, 0xc125, - 0x33e6, 0xc128, 0x33da, 0xc12a, 0x33ce, 0xc12c, 0x33c1, 0xc12f, - 0x33b5, 0xc131, 0x33a9, 0xc134, 0x339c, 0xc136, 0x3390, 0xc138, - 0x3384, 0xc13b, 0x3377, 0xc13d, 0x336b, 0xc140, 0x335f, 0xc142, - 0x3352, 0xc145, 0x3346, 0xc147, 0x333a, 0xc14a, 0x332d, 0xc14c, - 0x3321, 0xc14f, 0x3315, 0xc151, 0x3308, 0xc154, 0x32fc, 0xc156, - 0x32f0, 0xc159, 0x32e4, 0xc15b, 0x32d7, 0xc15e, 0x32cb, 0xc161, - 0x32bf, 0xc163, 0x32b2, 0xc166, 0x32a6, 0xc168, 0x329a, 0xc16b, - 0x328e, 0xc16e, 0x3281, 0xc170, 0x3275, 0xc173, 0x3269, 0xc176, - 0x325c, 0xc178, 0x3250, 0xc17b, 0x3244, 0xc17e, 0x3238, 0xc180, - 0x322b, 0xc183, 0x321f, 0xc186, 0x3213, 0xc189, 0x3207, 0xc18b, - 0x31fa, 0xc18e, 0x31ee, 0xc191, 0x31e2, 0xc194, 0x31d5, 0xc196, - 0x31c9, 0xc199, 0x31bd, 0xc19c, 0x31b1, 0xc19f, 0x31a4, 0xc1a2, - 0x3198, 0xc1a4, 0x318c, 0xc1a7, 0x3180, 0xc1aa, 0x3174, 0xc1ad, - 0x3167, 0xc1b0, 0x315b, 0xc1b3, 0x314f, 0xc1b6, 0x3143, 0xc1b8, - 0x3136, 0xc1bb, 0x312a, 0xc1be, 0x311e, 0xc1c1, 0x3112, 0xc1c4, - 0x3105, 0xc1c7, 0x30f9, 0xc1ca, 0x30ed, 0xc1cd, 0x30e1, 0xc1d0, - 0x30d5, 0xc1d3, 0x30c8, 0xc1d6, 0x30bc, 0xc1d9, 0x30b0, 0xc1dc, - 0x30a4, 0xc1df, 0x3098, 0xc1e2, 0x308b, 0xc1e5, 0x307f, 0xc1e8, - 0x3073, 0xc1eb, 0x3067, 0xc1ee, 0x305b, 0xc1f1, 0x304e, 0xc1f4, - 0x3042, 0xc1f7, 0x3036, 0xc1fa, 0x302a, 0xc1fd, 0x301e, 0xc201, - 0x3012, 0xc204, 0x3005, 0xc207, 0x2ff9, 0xc20a, 0x2fed, 0xc20d, - 0x2fe1, 0xc210, 0x2fd5, 0xc213, 0x2fc9, 0xc217, 0x2fbc, 0xc21a, - 0x2fb0, 0xc21d, 0x2fa4, 0xc220, 0x2f98, 0xc223, 0x2f8c, 0xc227, - 0x2f80, 0xc22a, 0x2f74, 0xc22d, 0x2f67, 0xc230, 0x2f5b, 0xc234, - 0x2f4f, 0xc237, 0x2f43, 0xc23a, 0x2f37, 0xc23e, 0x2f2b, 0xc241, - 0x2f1f, 0xc244, 0x2f13, 0xc247, 0x2f06, 0xc24b, 0x2efa, 0xc24e, - 0x2eee, 0xc251, 0x2ee2, 0xc255, 0x2ed6, 0xc258, 0x2eca, 0xc25c, - 0x2ebe, 0xc25f, 0x2eb2, 0xc262, 0x2ea6, 0xc266, 0x2e99, 0xc269, - 0x2e8d, 0xc26d, 0x2e81, 0xc270, 0x2e75, 0xc273, 0x2e69, 0xc277, - 0x2e5d, 0xc27a, 0x2e51, 0xc27e, 0x2e45, 0xc281, 0x2e39, 0xc285, - 0x2e2d, 0xc288, 0x2e21, 0xc28c, 0x2e15, 0xc28f, 0x2e09, 0xc293, - 0x2dfc, 0xc296, 0x2df0, 0xc29a, 0x2de4, 0xc29d, 0x2dd8, 0xc2a1, - 0x2dcc, 0xc2a5, 0x2dc0, 0xc2a8, 0x2db4, 0xc2ac, 0x2da8, 0xc2af, - 0x2d9c, 0xc2b3, 0x2d90, 0xc2b7, 0x2d84, 0xc2ba, 0x2d78, 0xc2be, - 0x2d6c, 0xc2c1, 0x2d60, 0xc2c5, 0x2d54, 0xc2c9, 0x2d48, 0xc2cc, - 0x2d3c, 0xc2d0, 0x2d30, 0xc2d4, 0x2d24, 0xc2d8, 0x2d18, 0xc2db, - 0x2d0c, 0xc2df, 0x2d00, 0xc2e3, 0x2cf4, 0xc2e6, 0x2ce8, 0xc2ea, - 0x2cdc, 0xc2ee, 0x2cd0, 0xc2f2, 0x2cc4, 0xc2f5, 0x2cb8, 0xc2f9, - 0x2cac, 0xc2fd, 0x2ca0, 0xc301, 0x2c94, 0xc305, 0x2c88, 0xc308, - 0x2c7c, 0xc30c, 0x2c70, 0xc310, 0x2c64, 0xc314, 0x2c58, 0xc318, - 0x2c4c, 0xc31c, 0x2c40, 0xc320, 0x2c34, 0xc323, 0x2c28, 0xc327, - 0x2c1c, 0xc32b, 0x2c10, 0xc32f, 0x2c05, 0xc333, 0x2bf9, 0xc337, - 0x2bed, 0xc33b, 0x2be1, 0xc33f, 0x2bd5, 0xc343, 0x2bc9, 0xc347, - 0x2bbd, 0xc34b, 0x2bb1, 0xc34f, 0x2ba5, 0xc353, 0x2b99, 0xc357, - 0x2b8d, 0xc35b, 0x2b81, 0xc35f, 0x2b75, 0xc363, 0x2b6a, 0xc367, - 0x2b5e, 0xc36b, 0x2b52, 0xc36f, 0x2b46, 0xc373, 0x2b3a, 0xc377, - 0x2b2e, 0xc37b, 0x2b22, 0xc37f, 0x2b16, 0xc383, 0x2b0a, 0xc387, - 0x2aff, 0xc38c, 0x2af3, 0xc390, 0x2ae7, 0xc394, 0x2adb, 0xc398, - 0x2acf, 0xc39c, 0x2ac3, 0xc3a0, 0x2ab7, 0xc3a5, 0x2aac, 0xc3a9, - 0x2aa0, 0xc3ad, 0x2a94, 0xc3b1, 0x2a88, 0xc3b5, 0x2a7c, 0xc3ba, - 0x2a70, 0xc3be, 0x2a65, 0xc3c2, 0x2a59, 0xc3c6, 0x2a4d, 0xc3ca, - 0x2a41, 0xc3cf, 0x2a35, 0xc3d3, 0x2a29, 0xc3d7, 0x2a1e, 0xc3dc, - 0x2a12, 0xc3e0, 0x2a06, 0xc3e4, 0x29fa, 0xc3e9, 0x29ee, 0xc3ed, - 0x29e3, 0xc3f1, 0x29d7, 0xc3f6, 0x29cb, 0xc3fa, 0x29bf, 0xc3fe, - 0x29b4, 0xc403, 0x29a8, 0xc407, 0x299c, 0xc40b, 0x2990, 0xc410, - 0x2984, 0xc414, 0x2979, 0xc419, 0x296d, 0xc41d, 0x2961, 0xc422, - 0x2955, 0xc426, 0x294a, 0xc42a, 0x293e, 0xc42f, 0x2932, 0xc433, - 0x2926, 0xc438, 0x291b, 0xc43c, 0x290f, 0xc441, 0x2903, 0xc445, - 0x28f7, 0xc44a, 0x28ec, 0xc44e, 0x28e0, 0xc453, 0x28d4, 0xc457, - 0x28c9, 0xc45c, 0x28bd, 0xc461, 0x28b1, 0xc465, 0x28a5, 0xc46a, - 0x289a, 0xc46e, 0x288e, 0xc473, 0x2882, 0xc478, 0x2877, 0xc47c, - 0x286b, 0xc481, 0x285f, 0xc485, 0x2854, 0xc48a, 0x2848, 0xc48f, - 0x283c, 0xc493, 0x2831, 0xc498, 0x2825, 0xc49d, 0x2819, 0xc4a1, - 0x280e, 0xc4a6, 0x2802, 0xc4ab, 0x27f6, 0xc4b0, 0x27eb, 0xc4b4, - 0x27df, 0xc4b9, 0x27d3, 0xc4be, 0x27c8, 0xc4c2, 0x27bc, 0xc4c7, - 0x27b1, 0xc4cc, 0x27a5, 0xc4d1, 0x2799, 0xc4d6, 0x278e, 0xc4da, - 0x2782, 0xc4df, 0x2777, 0xc4e4, 0x276b, 0xc4e9, 0x275f, 0xc4ee, - 0x2754, 0xc4f2, 0x2748, 0xc4f7, 0x273d, 0xc4fc, 0x2731, 0xc501, - 0x2725, 0xc506, 0x271a, 0xc50b, 0x270e, 0xc510, 0x2703, 0xc515, - 0x26f7, 0xc51a, 0x26ec, 0xc51e, 0x26e0, 0xc523, 0x26d4, 0xc528, - 0x26c9, 0xc52d, 0x26bd, 0xc532, 0x26b2, 0xc537, 0x26a6, 0xc53c, - 0x269b, 0xc541, 0x268f, 0xc546, 0x2684, 0xc54b, 0x2678, 0xc550, - 0x266d, 0xc555, 0x2661, 0xc55a, 0x2656, 0xc55f, 0x264a, 0xc564, - 0x263f, 0xc569, 0x2633, 0xc56e, 0x2628, 0xc573, 0x261c, 0xc578, - 0x2611, 0xc57e, 0x2605, 0xc583, 0x25fa, 0xc588, 0x25ee, 0xc58d, - 0x25e3, 0xc592, 0x25d7, 0xc597, 0x25cc, 0xc59c, 0x25c0, 0xc5a1, - 0x25b5, 0xc5a7, 0x25a9, 0xc5ac, 0x259e, 0xc5b1, 0x2592, 0xc5b6, - 0x2587, 0xc5bb, 0x257c, 0xc5c1, 0x2570, 0xc5c6, 0x2565, 0xc5cb, - 0x2559, 0xc5d0, 0x254e, 0xc5d5, 0x2542, 0xc5db, 0x2537, 0xc5e0, - 0x252c, 0xc5e5, 0x2520, 0xc5ea, 0x2515, 0xc5f0, 0x2509, 0xc5f5, - 0x24fe, 0xc5fa, 0x24f3, 0xc600, 0x24e7, 0xc605, 0x24dc, 0xc60a, - 0x24d0, 0xc610, 0x24c5, 0xc615, 0x24ba, 0xc61a, 0x24ae, 0xc620, - 0x24a3, 0xc625, 0x2498, 0xc62a, 0x248c, 0xc630, 0x2481, 0xc635, - 0x2476, 0xc63b, 0x246a, 0xc640, 0x245f, 0xc645, 0x2454, 0xc64b, - 0x2448, 0xc650, 0x243d, 0xc656, 0x2432, 0xc65b, 0x2426, 0xc661, - 0x241b, 0xc666, 0x2410, 0xc66c, 0x2404, 0xc671, 0x23f9, 0xc677, - 0x23ee, 0xc67c, 0x23e2, 0xc682, 0x23d7, 0xc687, 0x23cc, 0xc68d, - 0x23c1, 0xc692, 0x23b5, 0xc698, 0x23aa, 0xc69d, 0x239f, 0xc6a3, - 0x2394, 0xc6a8, 0x2388, 0xc6ae, 0x237d, 0xc6b4, 0x2372, 0xc6b9, - 0x2367, 0xc6bf, 0x235b, 0xc6c5, 0x2350, 0xc6ca, 0x2345, 0xc6d0, - 0x233a, 0xc6d5, 0x232e, 0xc6db, 0x2323, 0xc6e1, 0x2318, 0xc6e6, - 0x230d, 0xc6ec, 0x2301, 0xc6f2, 0x22f6, 0xc6f7, 0x22eb, 0xc6fd, - 0x22e0, 0xc703, 0x22d5, 0xc709, 0x22ca, 0xc70e, 0x22be, 0xc714, - 0x22b3, 0xc71a, 0x22a8, 0xc720, 0x229d, 0xc725, 0x2292, 0xc72b, - 0x2287, 0xc731, 0x227b, 0xc737, 0x2270, 0xc73d, 0x2265, 0xc742, - 0x225a, 0xc748, 0x224f, 0xc74e, 0x2244, 0xc754, 0x2239, 0xc75a, - 0x222d, 0xc75f, 0x2222, 0xc765, 0x2217, 0xc76b, 0x220c, 0xc771, - 0x2201, 0xc777, 0x21f6, 0xc77d, 0x21eb, 0xc783, 0x21e0, 0xc789, - 0x21d5, 0xc78f, 0x21ca, 0xc795, 0x21be, 0xc79a, 0x21b3, 0xc7a0, - 0x21a8, 0xc7a6, 0x219d, 0xc7ac, 0x2192, 0xc7b2, 0x2187, 0xc7b8, - 0x217c, 0xc7be, 0x2171, 0xc7c4, 0x2166, 0xc7ca, 0x215b, 0xc7d0, - 0x2150, 0xc7d6, 0x2145, 0xc7dc, 0x213a, 0xc7e2, 0x212f, 0xc7e8, - 0x2124, 0xc7ee, 0x2119, 0xc7f5, 0x210e, 0xc7fb, 0x2103, 0xc801, - 0x20f8, 0xc807, 0x20ed, 0xc80d, 0x20e2, 0xc813, 0x20d7, 0xc819, - 0x20cc, 0xc81f, 0x20c1, 0xc825, 0x20b6, 0xc82b, 0x20ab, 0xc832, - 0x20a0, 0xc838, 0x2095, 0xc83e, 0x208a, 0xc844, 0x207f, 0xc84a, - 0x2074, 0xc850, 0x2069, 0xc857, 0x205e, 0xc85d, 0x2054, 0xc863, - 0x2049, 0xc869, 0x203e, 0xc870, 0x2033, 0xc876, 0x2028, 0xc87c, - 0x201d, 0xc882, 0x2012, 0xc889, 0x2007, 0xc88f, 0x1ffc, 0xc895, - 0x1ff1, 0xc89b, 0x1fe7, 0xc8a2, 0x1fdc, 0xc8a8, 0x1fd1, 0xc8ae, - 0x1fc6, 0xc8b5, 0x1fbb, 0xc8bb, 0x1fb0, 0xc8c1, 0x1fa5, 0xc8c8, - 0x1f9b, 0xc8ce, 0x1f90, 0xc8d4, 0x1f85, 0xc8db, 0x1f7a, 0xc8e1, - 0x1f6f, 0xc8e8, 0x1f65, 0xc8ee, 0x1f5a, 0xc8f4, 0x1f4f, 0xc8fb, - 0x1f44, 0xc901, 0x1f39, 0xc908, 0x1f2f, 0xc90e, 0x1f24, 0xc915, - 0x1f19, 0xc91b, 0x1f0e, 0xc921, 0x1f03, 0xc928, 0x1ef9, 0xc92e, - 0x1eee, 0xc935, 0x1ee3, 0xc93b, 0x1ed8, 0xc942, 0x1ece, 0xc948, - 0x1ec3, 0xc94f, 0x1eb8, 0xc955, 0x1ead, 0xc95c, 0x1ea3, 0xc963, - 0x1e98, 0xc969, 0x1e8d, 0xc970, 0x1e83, 0xc976, 0x1e78, 0xc97d, - 0x1e6d, 0xc983, 0x1e62, 0xc98a, 0x1e58, 0xc991, 0x1e4d, 0xc997, - 0x1e42, 0xc99e, 0x1e38, 0xc9a4, 0x1e2d, 0xc9ab, 0x1e22, 0xc9b2, - 0x1e18, 0xc9b8, 0x1e0d, 0xc9bf, 0x1e02, 0xc9c6, 0x1df8, 0xc9cc, - 0x1ded, 0xc9d3, 0x1de2, 0xc9da, 0x1dd8, 0xc9e0, 0x1dcd, 0xc9e7, - 0x1dc3, 0xc9ee, 0x1db8, 0xc9f5, 0x1dad, 0xc9fb, 0x1da3, 0xca02, - 0x1d98, 0xca09, 0x1d8e, 0xca10, 0x1d83, 0xca16, 0x1d78, 0xca1d, - 0x1d6e, 0xca24, 0x1d63, 0xca2b, 0x1d59, 0xca32, 0x1d4e, 0xca38, - 0x1d44, 0xca3f, 0x1d39, 0xca46, 0x1d2e, 0xca4d, 0x1d24, 0xca54, - 0x1d19, 0xca5b, 0x1d0f, 0xca61, 0x1d04, 0xca68, 0x1cfa, 0xca6f, - 0x1cef, 0xca76, 0x1ce5, 0xca7d, 0x1cda, 0xca84, 0x1cd0, 0xca8b, - 0x1cc5, 0xca92, 0x1cbb, 0xca99, 0x1cb0, 0xca9f, 0x1ca6, 0xcaa6, - 0x1c9b, 0xcaad, 0x1c91, 0xcab4, 0x1c86, 0xcabb, 0x1c7c, 0xcac2, - 0x1c72, 0xcac9, 0x1c67, 0xcad0, 0x1c5d, 0xcad7, 0x1c52, 0xcade, - 0x1c48, 0xcae5, 0x1c3d, 0xcaec, 0x1c33, 0xcaf3, 0x1c29, 0xcafa, - 0x1c1e, 0xcb01, 0x1c14, 0xcb08, 0x1c09, 0xcb0f, 0x1bff, 0xcb16, - 0x1bf5, 0xcb1e, 0x1bea, 0xcb25, 0x1be0, 0xcb2c, 0x1bd5, 0xcb33, - 0x1bcb, 0xcb3a, 0x1bc1, 0xcb41, 0x1bb6, 0xcb48, 0x1bac, 0xcb4f, - 0x1ba2, 0xcb56, 0x1b97, 0xcb5e, 0x1b8d, 0xcb65, 0x1b83, 0xcb6c, - 0x1b78, 0xcb73, 0x1b6e, 0xcb7a, 0x1b64, 0xcb81, 0x1b59, 0xcb89, - 0x1b4f, 0xcb90, 0x1b45, 0xcb97, 0x1b3b, 0xcb9e, 0x1b30, 0xcba5, - 0x1b26, 0xcbad, 0x1b1c, 0xcbb4, 0x1b11, 0xcbbb, 0x1b07, 0xcbc2, - 0x1afd, 0xcbca, 0x1af3, 0xcbd1, 0x1ae8, 0xcbd8, 0x1ade, 0xcbe0, - 0x1ad4, 0xcbe7, 0x1aca, 0xcbee, 0x1abf, 0xcbf5, 0x1ab5, 0xcbfd, - 0x1aab, 0xcc04, 0x1aa1, 0xcc0b, 0x1a97, 0xcc13, 0x1a8c, 0xcc1a, - 0x1a82, 0xcc21, 0x1a78, 0xcc29, 0x1a6e, 0xcc30, 0x1a64, 0xcc38, - 0x1a5a, 0xcc3f, 0x1a4f, 0xcc46, 0x1a45, 0xcc4e, 0x1a3b, 0xcc55, - 0x1a31, 0xcc5d, 0x1a27, 0xcc64, 0x1a1d, 0xcc6b, 0x1a13, 0xcc73, - 0x1a08, 0xcc7a, 0x19fe, 0xcc82, 0x19f4, 0xcc89, 0x19ea, 0xcc91, - 0x19e0, 0xcc98, 0x19d6, 0xcca0, 0x19cc, 0xcca7, 0x19c2, 0xccaf, - 0x19b8, 0xccb6, 0x19ae, 0xccbe, 0x19a4, 0xccc5, 0x199a, 0xcccd, - 0x198f, 0xccd4, 0x1985, 0xccdc, 0x197b, 0xcce3, 0x1971, 0xcceb, - 0x1967, 0xccf3, 0x195d, 0xccfa, 0x1953, 0xcd02, 0x1949, 0xcd09, - 0x193f, 0xcd11, 0x1935, 0xcd19, 0x192b, 0xcd20, 0x1921, 0xcd28, - 0x1917, 0xcd30, 0x190d, 0xcd37, 0x1903, 0xcd3f, 0x18f9, 0xcd46, - 0x18ef, 0xcd4e, 0x18e6, 0xcd56, 0x18dc, 0xcd5d, 0x18d2, 0xcd65, - 0x18c8, 0xcd6d, 0x18be, 0xcd75, 0x18b4, 0xcd7c, 0x18aa, 0xcd84, - 0x18a0, 0xcd8c, 0x1896, 0xcd93, 0x188c, 0xcd9b, 0x1882, 0xcda3, - 0x1878, 0xcdab, 0x186f, 0xcdb2, 0x1865, 0xcdba, 0x185b, 0xcdc2, - 0x1851, 0xcdca, 0x1847, 0xcdd2, 0x183d, 0xcdd9, 0x1833, 0xcde1, - 0x182a, 0xcde9, 0x1820, 0xcdf1, 0x1816, 0xcdf9, 0x180c, 0xce01, - 0x1802, 0xce08, 0x17f8, 0xce10, 0x17ef, 0xce18, 0x17e5, 0xce20, - 0x17db, 0xce28, 0x17d1, 0xce30, 0x17c8, 0xce38, 0x17be, 0xce40, - 0x17b4, 0xce47, 0x17aa, 0xce4f, 0x17a0, 0xce57, 0x1797, 0xce5f, - 0x178d, 0xce67, 0x1783, 0xce6f, 0x177a, 0xce77, 0x1770, 0xce7f, - 0x1766, 0xce87, 0x175c, 0xce8f, 0x1753, 0xce97, 0x1749, 0xce9f, - 0x173f, 0xcea7, 0x1736, 0xceaf, 0x172c, 0xceb7, 0x1722, 0xcebf, - 0x1719, 0xcec7, 0x170f, 0xcecf, 0x1705, 0xced7, 0x16fc, 0xcedf, - 0x16f2, 0xcee7, 0x16e8, 0xceef, 0x16df, 0xcef7, 0x16d5, 0xceff, - 0x16cb, 0xcf07, 0x16c2, 0xcf10, 0x16b8, 0xcf18, 0x16af, 0xcf20, - 0x16a5, 0xcf28, 0x169b, 0xcf30, 0x1692, 0xcf38, 0x1688, 0xcf40, - 0x167f, 0xcf48, 0x1675, 0xcf51, 0x166c, 0xcf59, 0x1662, 0xcf61, - 0x1659, 0xcf69, 0x164f, 0xcf71, 0x1645, 0xcf79, 0x163c, 0xcf82, - 0x1632, 0xcf8a, 0x1629, 0xcf92, 0x161f, 0xcf9a, 0x1616, 0xcfa3, - 0x160c, 0xcfab, 0x1603, 0xcfb3, 0x15f9, 0xcfbb, 0x15f0, 0xcfc4, - 0x15e6, 0xcfcc, 0x15dd, 0xcfd4, 0x15d4, 0xcfdc, 0x15ca, 0xcfe5, - 0x15c1, 0xcfed, 0x15b7, 0xcff5, 0x15ae, 0xcffe, 0x15a4, 0xd006, - 0x159b, 0xd00e, 0x1592, 0xd016, 0x1588, 0xd01f, 0x157f, 0xd027, - 0x1575, 0xd030, 0x156c, 0xd038, 0x1563, 0xd040, 0x1559, 0xd049, - 0x1550, 0xd051, 0x1547, 0xd059, 0x153d, 0xd062, 0x1534, 0xd06a, - 0x152a, 0xd073, 0x1521, 0xd07b, 0x1518, 0xd083, 0x150e, 0xd08c, - 0x1505, 0xd094, 0x14fc, 0xd09d, 0x14f3, 0xd0a5, 0x14e9, 0xd0ae, - 0x14e0, 0xd0b6, 0x14d7, 0xd0bf, 0x14cd, 0xd0c7, 0x14c4, 0xd0d0, - 0x14bb, 0xd0d8, 0x14b2, 0xd0e0, 0x14a8, 0xd0e9, 0x149f, 0xd0f2, - 0x1496, 0xd0fa, 0x148d, 0xd103, 0x1483, 0xd10b, 0x147a, 0xd114, - 0x1471, 0xd11c, 0x1468, 0xd125, 0x145f, 0xd12d, 0x1455, 0xd136, - 0x144c, 0xd13e, 0x1443, 0xd147, 0x143a, 0xd150, 0x1431, 0xd158, - 0x1428, 0xd161, 0x141e, 0xd169, 0x1415, 0xd172, 0x140c, 0xd17b, - 0x1403, 0xd183, 0x13fa, 0xd18c, 0x13f1, 0xd195, 0x13e8, 0xd19d, - 0x13df, 0xd1a6, 0x13d5, 0xd1af, 0x13cc, 0xd1b7, 0x13c3, 0xd1c0, - 0x13ba, 0xd1c9, 0x13b1, 0xd1d1, 0x13a8, 0xd1da, 0x139f, 0xd1e3, - 0x1396, 0xd1eb, 0x138d, 0xd1f4, 0x1384, 0xd1fd, 0x137b, 0xd206, - 0x1372, 0xd20e, 0x1369, 0xd217, 0x1360, 0xd220, 0x1357, 0xd229, - 0x134e, 0xd231, 0x1345, 0xd23a, 0x133c, 0xd243, 0x1333, 0xd24c, - 0x132a, 0xd255, 0x1321, 0xd25d, 0x1318, 0xd266, 0x130f, 0xd26f, - 0x1306, 0xd278, 0x12fd, 0xd281, 0x12f4, 0xd28a, 0x12eb, 0xd292, - 0x12e2, 0xd29b, 0x12d9, 0xd2a4, 0x12d1, 0xd2ad, 0x12c8, 0xd2b6, - 0x12bf, 0xd2bf, 0x12b6, 0xd2c8, 0x12ad, 0xd2d1, 0x12a4, 0xd2d9, - 0x129b, 0xd2e2, 0x1292, 0xd2eb, 0x128a, 0xd2f4, 0x1281, 0xd2fd, - 0x1278, 0xd306, 0x126f, 0xd30f, 0x1266, 0xd318, 0x125d, 0xd321, - 0x1255, 0xd32a, 0x124c, 0xd333, 0x1243, 0xd33c, 0x123a, 0xd345, - 0x1231, 0xd34e, 0x1229, 0xd357, 0x1220, 0xd360, 0x1217, 0xd369, - 0x120e, 0xd372, 0x1206, 0xd37b, 0x11fd, 0xd384, 0x11f4, 0xd38d, - 0x11eb, 0xd396, 0x11e3, 0xd39f, 0x11da, 0xd3a8, 0x11d1, 0xd3b1, - 0x11c9, 0xd3ba, 0x11c0, 0xd3c3, 0x11b7, 0xd3cc, 0x11af, 0xd3d5, - 0x11a6, 0xd3df, 0x119d, 0xd3e8, 0x1195, 0xd3f1, 0x118c, 0xd3fa, - 0x1183, 0xd403, 0x117b, 0xd40c, 0x1172, 0xd415, 0x1169, 0xd41e, - 0x1161, 0xd428, 0x1158, 0xd431, 0x1150, 0xd43a, 0x1147, 0xd443, - 0x113e, 0xd44c, 0x1136, 0xd455, 0x112d, 0xd45f, 0x1125, 0xd468, - 0x111c, 0xd471, 0x1114, 0xd47a, 0x110b, 0xd483, 0x1103, 0xd48d, - 0x10fa, 0xd496, 0x10f2, 0xd49f, 0x10e9, 0xd4a8, 0x10e0, 0xd4b2, - 0x10d8, 0xd4bb, 0x10d0, 0xd4c4, 0x10c7, 0xd4cd, 0x10bf, 0xd4d7, - 0x10b6, 0xd4e0, 0x10ae, 0xd4e9, 0x10a5, 0xd4f3, 0x109d, 0xd4fc, - 0x1094, 0xd505, 0x108c, 0xd50e, 0x1083, 0xd518, 0x107b, 0xd521, - 0x1073, 0xd52a, 0x106a, 0xd534, 0x1062, 0xd53d, 0x1059, 0xd547, - 0x1051, 0xd550, 0x1049, 0xd559, 0x1040, 0xd563, 0x1038, 0xd56c, - 0x1030, 0xd575, 0x1027, 0xd57f, 0x101f, 0xd588, 0x1016, 0xd592, - 0x100e, 0xd59b, 0x1006, 0xd5a4, 0xffe, 0xd5ae, 0xff5, 0xd5b7, - 0xfed, 0xd5c1, 0xfe5, 0xd5ca, 0xfdc, 0xd5d4, 0xfd4, 0xd5dd, - 0xfcc, 0xd5e6, 0xfc4, 0xd5f0, 0xfbb, 0xd5f9, 0xfb3, 0xd603, - 0xfab, 0xd60c, 0xfa3, 0xd616, 0xf9a, 0xd61f, 0xf92, 0xd629, - 0xf8a, 0xd632, 0xf82, 0xd63c, 0xf79, 0xd645, 0xf71, 0xd64f, - 0xf69, 0xd659, 0xf61, 0xd662, 0xf59, 0xd66c, 0xf51, 0xd675, - 0xf48, 0xd67f, 0xf40, 0xd688, 0xf38, 0xd692, 0xf30, 0xd69b, - 0xf28, 0xd6a5, 0xf20, 0xd6af, 0xf18, 0xd6b8, 0xf10, 0xd6c2, - 0xf07, 0xd6cb, 0xeff, 0xd6d5, 0xef7, 0xd6df, 0xeef, 0xd6e8, - 0xee7, 0xd6f2, 0xedf, 0xd6fc, 0xed7, 0xd705, 0xecf, 0xd70f, - 0xec7, 0xd719, 0xebf, 0xd722, 0xeb7, 0xd72c, 0xeaf, 0xd736, - 0xea7, 0xd73f, 0xe9f, 0xd749, 0xe97, 0xd753, 0xe8f, 0xd75c, - 0xe87, 0xd766, 0xe7f, 0xd770, 0xe77, 0xd77a, 0xe6f, 0xd783, - 0xe67, 0xd78d, 0xe5f, 0xd797, 0xe57, 0xd7a0, 0xe4f, 0xd7aa, - 0xe47, 0xd7b4, 0xe40, 0xd7be, 0xe38, 0xd7c8, 0xe30, 0xd7d1, - 0xe28, 0xd7db, 0xe20, 0xd7e5, 0xe18, 0xd7ef, 0xe10, 0xd7f8, - 0xe08, 0xd802, 0xe01, 0xd80c, 0xdf9, 0xd816, 0xdf1, 0xd820, - 0xde9, 0xd82a, 0xde1, 0xd833, 0xdd9, 0xd83d, 0xdd2, 0xd847, - 0xdca, 0xd851, 0xdc2, 0xd85b, 0xdba, 0xd865, 0xdb2, 0xd86f, - 0xdab, 0xd878, 0xda3, 0xd882, 0xd9b, 0xd88c, 0xd93, 0xd896, - 0xd8c, 0xd8a0, 0xd84, 0xd8aa, 0xd7c, 0xd8b4, 0xd75, 0xd8be, - 0xd6d, 0xd8c8, 0xd65, 0xd8d2, 0xd5d, 0xd8dc, 0xd56, 0xd8e6, - 0xd4e, 0xd8ef, 0xd46, 0xd8f9, 0xd3f, 0xd903, 0xd37, 0xd90d, - 0xd30, 0xd917, 0xd28, 0xd921, 0xd20, 0xd92b, 0xd19, 0xd935, - 0xd11, 0xd93f, 0xd09, 0xd949, 0xd02, 0xd953, 0xcfa, 0xd95d, - 0xcf3, 0xd967, 0xceb, 0xd971, 0xce3, 0xd97b, 0xcdc, 0xd985, - 0xcd4, 0xd98f, 0xccd, 0xd99a, 0xcc5, 0xd9a4, 0xcbe, 0xd9ae, - 0xcb6, 0xd9b8, 0xcaf, 0xd9c2, 0xca7, 0xd9cc, 0xca0, 0xd9d6, - 0xc98, 0xd9e0, 0xc91, 0xd9ea, 0xc89, 0xd9f4, 0xc82, 0xd9fe, - 0xc7a, 0xda08, 0xc73, 0xda13, 0xc6b, 0xda1d, 0xc64, 0xda27, - 0xc5d, 0xda31, 0xc55, 0xda3b, 0xc4e, 0xda45, 0xc46, 0xda4f, - 0xc3f, 0xda5a, 0xc38, 0xda64, 0xc30, 0xda6e, 0xc29, 0xda78, - 0xc21, 0xda82, 0xc1a, 0xda8c, 0xc13, 0xda97, 0xc0b, 0xdaa1, - 0xc04, 0xdaab, 0xbfd, 0xdab5, 0xbf5, 0xdabf, 0xbee, 0xdaca, - 0xbe7, 0xdad4, 0xbe0, 0xdade, 0xbd8, 0xdae8, 0xbd1, 0xdaf3, - 0xbca, 0xdafd, 0xbc2, 0xdb07, 0xbbb, 0xdb11, 0xbb4, 0xdb1c, - 0xbad, 0xdb26, 0xba5, 0xdb30, 0xb9e, 0xdb3b, 0xb97, 0xdb45, - 0xb90, 0xdb4f, 0xb89, 0xdb59, 0xb81, 0xdb64, 0xb7a, 0xdb6e, - 0xb73, 0xdb78, 0xb6c, 0xdb83, 0xb65, 0xdb8d, 0xb5e, 0xdb97, - 0xb56, 0xdba2, 0xb4f, 0xdbac, 0xb48, 0xdbb6, 0xb41, 0xdbc1, - 0xb3a, 0xdbcb, 0xb33, 0xdbd5, 0xb2c, 0xdbe0, 0xb25, 0xdbea, - 0xb1e, 0xdbf5, 0xb16, 0xdbff, 0xb0f, 0xdc09, 0xb08, 0xdc14, - 0xb01, 0xdc1e, 0xafa, 0xdc29, 0xaf3, 0xdc33, 0xaec, 0xdc3d, - 0xae5, 0xdc48, 0xade, 0xdc52, 0xad7, 0xdc5d, 0xad0, 0xdc67, - 0xac9, 0xdc72, 0xac2, 0xdc7c, 0xabb, 0xdc86, 0xab4, 0xdc91, - 0xaad, 0xdc9b, 0xaa6, 0xdca6, 0xa9f, 0xdcb0, 0xa99, 0xdcbb, - 0xa92, 0xdcc5, 0xa8b, 0xdcd0, 0xa84, 0xdcda, 0xa7d, 0xdce5, - 0xa76, 0xdcef, 0xa6f, 0xdcfa, 0xa68, 0xdd04, 0xa61, 0xdd0f, - 0xa5b, 0xdd19, 0xa54, 0xdd24, 0xa4d, 0xdd2e, 0xa46, 0xdd39, - 0xa3f, 0xdd44, 0xa38, 0xdd4e, 0xa32, 0xdd59, 0xa2b, 0xdd63, - 0xa24, 0xdd6e, 0xa1d, 0xdd78, 0xa16, 0xdd83, 0xa10, 0xdd8e, - 0xa09, 0xdd98, 0xa02, 0xdda3, 0x9fb, 0xddad, 0x9f5, 0xddb8, - 0x9ee, 0xddc3, 0x9e7, 0xddcd, 0x9e0, 0xddd8, 0x9da, 0xdde2, - 0x9d3, 0xdded, 0x9cc, 0xddf8, 0x9c6, 0xde02, 0x9bf, 0xde0d, - 0x9b8, 0xde18, 0x9b2, 0xde22, 0x9ab, 0xde2d, 0x9a4, 0xde38, - 0x99e, 0xde42, 0x997, 0xde4d, 0x991, 0xde58, 0x98a, 0xde62, - 0x983, 0xde6d, 0x97d, 0xde78, 0x976, 0xde83, 0x970, 0xde8d, - 0x969, 0xde98, 0x963, 0xdea3, 0x95c, 0xdead, 0x955, 0xdeb8, - 0x94f, 0xdec3, 0x948, 0xdece, 0x942, 0xded8, 0x93b, 0xdee3, - 0x935, 0xdeee, 0x92e, 0xdef9, 0x928, 0xdf03, 0x921, 0xdf0e, - 0x91b, 0xdf19, 0x915, 0xdf24, 0x90e, 0xdf2f, 0x908, 0xdf39, - 0x901, 0xdf44, 0x8fb, 0xdf4f, 0x8f4, 0xdf5a, 0x8ee, 0xdf65, - 0x8e8, 0xdf6f, 0x8e1, 0xdf7a, 0x8db, 0xdf85, 0x8d4, 0xdf90, - 0x8ce, 0xdf9b, 0x8c8, 0xdfa5, 0x8c1, 0xdfb0, 0x8bb, 0xdfbb, - 0x8b5, 0xdfc6, 0x8ae, 0xdfd1, 0x8a8, 0xdfdc, 0x8a2, 0xdfe7, - 0x89b, 0xdff1, 0x895, 0xdffc, 0x88f, 0xe007, 0x889, 0xe012, - 0x882, 0xe01d, 0x87c, 0xe028, 0x876, 0xe033, 0x870, 0xe03e, - 0x869, 0xe049, 0x863, 0xe054, 0x85d, 0xe05e, 0x857, 0xe069, - 0x850, 0xe074, 0x84a, 0xe07f, 0x844, 0xe08a, 0x83e, 0xe095, - 0x838, 0xe0a0, 0x832, 0xe0ab, 0x82b, 0xe0b6, 0x825, 0xe0c1, - 0x81f, 0xe0cc, 0x819, 0xe0d7, 0x813, 0xe0e2, 0x80d, 0xe0ed, - 0x807, 0xe0f8, 0x801, 0xe103, 0x7fb, 0xe10e, 0x7f5, 0xe119, - 0x7ee, 0xe124, 0x7e8, 0xe12f, 0x7e2, 0xe13a, 0x7dc, 0xe145, - 0x7d6, 0xe150, 0x7d0, 0xe15b, 0x7ca, 0xe166, 0x7c4, 0xe171, - 0x7be, 0xe17c, 0x7b8, 0xe187, 0x7b2, 0xe192, 0x7ac, 0xe19d, - 0x7a6, 0xe1a8, 0x7a0, 0xe1b3, 0x79a, 0xe1be, 0x795, 0xe1ca, - 0x78f, 0xe1d5, 0x789, 0xe1e0, 0x783, 0xe1eb, 0x77d, 0xe1f6, - 0x777, 0xe201, 0x771, 0xe20c, 0x76b, 0xe217, 0x765, 0xe222, - 0x75f, 0xe22d, 0x75a, 0xe239, 0x754, 0xe244, 0x74e, 0xe24f, - 0x748, 0xe25a, 0x742, 0xe265, 0x73d, 0xe270, 0x737, 0xe27b, - 0x731, 0xe287, 0x72b, 0xe292, 0x725, 0xe29d, 0x720, 0xe2a8, - 0x71a, 0xe2b3, 0x714, 0xe2be, 0x70e, 0xe2ca, 0x709, 0xe2d5, - 0x703, 0xe2e0, 0x6fd, 0xe2eb, 0x6f7, 0xe2f6, 0x6f2, 0xe301, - 0x6ec, 0xe30d, 0x6e6, 0xe318, 0x6e1, 0xe323, 0x6db, 0xe32e, - 0x6d5, 0xe33a, 0x6d0, 0xe345, 0x6ca, 0xe350, 0x6c5, 0xe35b, - 0x6bf, 0xe367, 0x6b9, 0xe372, 0x6b4, 0xe37d, 0x6ae, 0xe388, - 0x6a8, 0xe394, 0x6a3, 0xe39f, 0x69d, 0xe3aa, 0x698, 0xe3b5, - 0x692, 0xe3c1, 0x68d, 0xe3cc, 0x687, 0xe3d7, 0x682, 0xe3e2, - 0x67c, 0xe3ee, 0x677, 0xe3f9, 0x671, 0xe404, 0x66c, 0xe410, - 0x666, 0xe41b, 0x661, 0xe426, 0x65b, 0xe432, 0x656, 0xe43d, - 0x650, 0xe448, 0x64b, 0xe454, 0x645, 0xe45f, 0x640, 0xe46a, - 0x63b, 0xe476, 0x635, 0xe481, 0x630, 0xe48c, 0x62a, 0xe498, - 0x625, 0xe4a3, 0x620, 0xe4ae, 0x61a, 0xe4ba, 0x615, 0xe4c5, - 0x610, 0xe4d0, 0x60a, 0xe4dc, 0x605, 0xe4e7, 0x600, 0xe4f3, - 0x5fa, 0xe4fe, 0x5f5, 0xe509, 0x5f0, 0xe515, 0x5ea, 0xe520, - 0x5e5, 0xe52c, 0x5e0, 0xe537, 0x5db, 0xe542, 0x5d5, 0xe54e, - 0x5d0, 0xe559, 0x5cb, 0xe565, 0x5c6, 0xe570, 0x5c1, 0xe57c, - 0x5bb, 0xe587, 0x5b6, 0xe592, 0x5b1, 0xe59e, 0x5ac, 0xe5a9, - 0x5a7, 0xe5b5, 0x5a1, 0xe5c0, 0x59c, 0xe5cc, 0x597, 0xe5d7, - 0x592, 0xe5e3, 0x58d, 0xe5ee, 0x588, 0xe5fa, 0x583, 0xe605, - 0x57e, 0xe611, 0x578, 0xe61c, 0x573, 0xe628, 0x56e, 0xe633, - 0x569, 0xe63f, 0x564, 0xe64a, 0x55f, 0xe656, 0x55a, 0xe661, - 0x555, 0xe66d, 0x550, 0xe678, 0x54b, 0xe684, 0x546, 0xe68f, - 0x541, 0xe69b, 0x53c, 0xe6a6, 0x537, 0xe6b2, 0x532, 0xe6bd, - 0x52d, 0xe6c9, 0x528, 0xe6d4, 0x523, 0xe6e0, 0x51e, 0xe6ec, - 0x51a, 0xe6f7, 0x515, 0xe703, 0x510, 0xe70e, 0x50b, 0xe71a, - 0x506, 0xe725, 0x501, 0xe731, 0x4fc, 0xe73d, 0x4f7, 0xe748, - 0x4f2, 0xe754, 0x4ee, 0xe75f, 0x4e9, 0xe76b, 0x4e4, 0xe777, - 0x4df, 0xe782, 0x4da, 0xe78e, 0x4d6, 0xe799, 0x4d1, 0xe7a5, - 0x4cc, 0xe7b1, 0x4c7, 0xe7bc, 0x4c2, 0xe7c8, 0x4be, 0xe7d3, - 0x4b9, 0xe7df, 0x4b4, 0xe7eb, 0x4b0, 0xe7f6, 0x4ab, 0xe802, - 0x4a6, 0xe80e, 0x4a1, 0xe819, 0x49d, 0xe825, 0x498, 0xe831, - 0x493, 0xe83c, 0x48f, 0xe848, 0x48a, 0xe854, 0x485, 0xe85f, - 0x481, 0xe86b, 0x47c, 0xe877, 0x478, 0xe882, 0x473, 0xe88e, - 0x46e, 0xe89a, 0x46a, 0xe8a5, 0x465, 0xe8b1, 0x461, 0xe8bd, - 0x45c, 0xe8c9, 0x457, 0xe8d4, 0x453, 0xe8e0, 0x44e, 0xe8ec, - 0x44a, 0xe8f7, 0x445, 0xe903, 0x441, 0xe90f, 0x43c, 0xe91b, - 0x438, 0xe926, 0x433, 0xe932, 0x42f, 0xe93e, 0x42a, 0xe94a, - 0x426, 0xe955, 0x422, 0xe961, 0x41d, 0xe96d, 0x419, 0xe979, - 0x414, 0xe984, 0x410, 0xe990, 0x40b, 0xe99c, 0x407, 0xe9a8, - 0x403, 0xe9b4, 0x3fe, 0xe9bf, 0x3fa, 0xe9cb, 0x3f6, 0xe9d7, - 0x3f1, 0xe9e3, 0x3ed, 0xe9ee, 0x3e9, 0xe9fa, 0x3e4, 0xea06, - 0x3e0, 0xea12, 0x3dc, 0xea1e, 0x3d7, 0xea29, 0x3d3, 0xea35, - 0x3cf, 0xea41, 0x3ca, 0xea4d, 0x3c6, 0xea59, 0x3c2, 0xea65, - 0x3be, 0xea70, 0x3ba, 0xea7c, 0x3b5, 0xea88, 0x3b1, 0xea94, - 0x3ad, 0xeaa0, 0x3a9, 0xeaac, 0x3a5, 0xeab7, 0x3a0, 0xeac3, - 0x39c, 0xeacf, 0x398, 0xeadb, 0x394, 0xeae7, 0x390, 0xeaf3, - 0x38c, 0xeaff, 0x387, 0xeb0a, 0x383, 0xeb16, 0x37f, 0xeb22, - 0x37b, 0xeb2e, 0x377, 0xeb3a, 0x373, 0xeb46, 0x36f, 0xeb52, - 0x36b, 0xeb5e, 0x367, 0xeb6a, 0x363, 0xeb75, 0x35f, 0xeb81, - 0x35b, 0xeb8d, 0x357, 0xeb99, 0x353, 0xeba5, 0x34f, 0xebb1, - 0x34b, 0xebbd, 0x347, 0xebc9, 0x343, 0xebd5, 0x33f, 0xebe1, - 0x33b, 0xebed, 0x337, 0xebf9, 0x333, 0xec05, 0x32f, 0xec10, - 0x32b, 0xec1c, 0x327, 0xec28, 0x323, 0xec34, 0x320, 0xec40, - 0x31c, 0xec4c, 0x318, 0xec58, 0x314, 0xec64, 0x310, 0xec70, - 0x30c, 0xec7c, 0x308, 0xec88, 0x305, 0xec94, 0x301, 0xeca0, - 0x2fd, 0xecac, 0x2f9, 0xecb8, 0x2f5, 0xecc4, 0x2f2, 0xecd0, - 0x2ee, 0xecdc, 0x2ea, 0xece8, 0x2e6, 0xecf4, 0x2e3, 0xed00, - 0x2df, 0xed0c, 0x2db, 0xed18, 0x2d8, 0xed24, 0x2d4, 0xed30, - 0x2d0, 0xed3c, 0x2cc, 0xed48, 0x2c9, 0xed54, 0x2c5, 0xed60, - 0x2c1, 0xed6c, 0x2be, 0xed78, 0x2ba, 0xed84, 0x2b7, 0xed90, - 0x2b3, 0xed9c, 0x2af, 0xeda8, 0x2ac, 0xedb4, 0x2a8, 0xedc0, - 0x2a5, 0xedcc, 0x2a1, 0xedd8, 0x29d, 0xede4, 0x29a, 0xedf0, - 0x296, 0xedfc, 0x293, 0xee09, 0x28f, 0xee15, 0x28c, 0xee21, - 0x288, 0xee2d, 0x285, 0xee39, 0x281, 0xee45, 0x27e, 0xee51, - 0x27a, 0xee5d, 0x277, 0xee69, 0x273, 0xee75, 0x270, 0xee81, - 0x26d, 0xee8d, 0x269, 0xee99, 0x266, 0xeea6, 0x262, 0xeeb2, - 0x25f, 0xeebe, 0x25c, 0xeeca, 0x258, 0xeed6, 0x255, 0xeee2, - 0x251, 0xeeee, 0x24e, 0xeefa, 0x24b, 0xef06, 0x247, 0xef13, - 0x244, 0xef1f, 0x241, 0xef2b, 0x23e, 0xef37, 0x23a, 0xef43, - 0x237, 0xef4f, 0x234, 0xef5b, 0x230, 0xef67, 0x22d, 0xef74, - 0x22a, 0xef80, 0x227, 0xef8c, 0x223, 0xef98, 0x220, 0xefa4, - 0x21d, 0xefb0, 0x21a, 0xefbc, 0x217, 0xefc9, 0x213, 0xefd5, - 0x210, 0xefe1, 0x20d, 0xefed, 0x20a, 0xeff9, 0x207, 0xf005, - 0x204, 0xf012, 0x201, 0xf01e, 0x1fd, 0xf02a, 0x1fa, 0xf036, - 0x1f7, 0xf042, 0x1f4, 0xf04e, 0x1f1, 0xf05b, 0x1ee, 0xf067, - 0x1eb, 0xf073, 0x1e8, 0xf07f, 0x1e5, 0xf08b, 0x1e2, 0xf098, - 0x1df, 0xf0a4, 0x1dc, 0xf0b0, 0x1d9, 0xf0bc, 0x1d6, 0xf0c8, - 0x1d3, 0xf0d5, 0x1d0, 0xf0e1, 0x1cd, 0xf0ed, 0x1ca, 0xf0f9, - 0x1c7, 0xf105, 0x1c4, 0xf112, 0x1c1, 0xf11e, 0x1be, 0xf12a, - 0x1bb, 0xf136, 0x1b8, 0xf143, 0x1b6, 0xf14f, 0x1b3, 0xf15b, - 0x1b0, 0xf167, 0x1ad, 0xf174, 0x1aa, 0xf180, 0x1a7, 0xf18c, - 0x1a4, 0xf198, 0x1a2, 0xf1a4, 0x19f, 0xf1b1, 0x19c, 0xf1bd, - 0x199, 0xf1c9, 0x196, 0xf1d5, 0x194, 0xf1e2, 0x191, 0xf1ee, - 0x18e, 0xf1fa, 0x18b, 0xf207, 0x189, 0xf213, 0x186, 0xf21f, - 0x183, 0xf22b, 0x180, 0xf238, 0x17e, 0xf244, 0x17b, 0xf250, - 0x178, 0xf25c, 0x176, 0xf269, 0x173, 0xf275, 0x170, 0xf281, - 0x16e, 0xf28e, 0x16b, 0xf29a, 0x168, 0xf2a6, 0x166, 0xf2b2, - 0x163, 0xf2bf, 0x161, 0xf2cb, 0x15e, 0xf2d7, 0x15b, 0xf2e4, - 0x159, 0xf2f0, 0x156, 0xf2fc, 0x154, 0xf308, 0x151, 0xf315, - 0x14f, 0xf321, 0x14c, 0xf32d, 0x14a, 0xf33a, 0x147, 0xf346, - 0x145, 0xf352, 0x142, 0xf35f, 0x140, 0xf36b, 0x13d, 0xf377, - 0x13b, 0xf384, 0x138, 0xf390, 0x136, 0xf39c, 0x134, 0xf3a9, - 0x131, 0xf3b5, 0x12f, 0xf3c1, 0x12c, 0xf3ce, 0x12a, 0xf3da, - 0x128, 0xf3e6, 0x125, 0xf3f3, 0x123, 0xf3ff, 0x120, 0xf40b, - 0x11e, 0xf418, 0x11c, 0xf424, 0x119, 0xf430, 0x117, 0xf43d, - 0x115, 0xf449, 0x113, 0xf455, 0x110, 0xf462, 0x10e, 0xf46e, - 0x10c, 0xf47b, 0x109, 0xf487, 0x107, 0xf493, 0x105, 0xf4a0, - 0x103, 0xf4ac, 0x100, 0xf4b8, 0xfe, 0xf4c5, 0xfc, 0xf4d1, - 0xfa, 0xf4dd, 0xf8, 0xf4ea, 0xf6, 0xf4f6, 0xf3, 0xf503, - 0xf1, 0xf50f, 0xef, 0xf51b, 0xed, 0xf528, 0xeb, 0xf534, - 0xe9, 0xf540, 0xe7, 0xf54d, 0xe4, 0xf559, 0xe2, 0xf566, - 0xe0, 0xf572, 0xde, 0xf57e, 0xdc, 0xf58b, 0xda, 0xf597, - 0xd8, 0xf5a4, 0xd6, 0xf5b0, 0xd4, 0xf5bc, 0xd2, 0xf5c9, - 0xd0, 0xf5d5, 0xce, 0xf5e2, 0xcc, 0xf5ee, 0xca, 0xf5fa, - 0xc8, 0xf607, 0xc6, 0xf613, 0xc4, 0xf620, 0xc2, 0xf62c, - 0xc0, 0xf639, 0xbe, 0xf645, 0xbd, 0xf651, 0xbb, 0xf65e, - 0xb9, 0xf66a, 0xb7, 0xf677, 0xb5, 0xf683, 0xb3, 0xf690, - 0xb1, 0xf69c, 0xaf, 0xf6a8, 0xae, 0xf6b5, 0xac, 0xf6c1, - 0xaa, 0xf6ce, 0xa8, 0xf6da, 0xa6, 0xf6e7, 0xa5, 0xf6f3, - 0xa3, 0xf6ff, 0xa1, 0xf70c, 0x9f, 0xf718, 0x9e, 0xf725, - 0x9c, 0xf731, 0x9a, 0xf73e, 0x98, 0xf74a, 0x97, 0xf757, - 0x95, 0xf763, 0x93, 0xf76f, 0x92, 0xf77c, 0x90, 0xf788, - 0x8e, 0xf795, 0x8d, 0xf7a1, 0x8b, 0xf7ae, 0x89, 0xf7ba, - 0x88, 0xf7c7, 0x86, 0xf7d3, 0x85, 0xf7e0, 0x83, 0xf7ec, - 0x81, 0xf7f9, 0x80, 0xf805, 0x7e, 0xf811, 0x7d, 0xf81e, - 0x7b, 0xf82a, 0x7a, 0xf837, 0x78, 0xf843, 0x77, 0xf850, - 0x75, 0xf85c, 0x74, 0xf869, 0x72, 0xf875, 0x71, 0xf882, - 0x6f, 0xf88e, 0x6e, 0xf89b, 0x6c, 0xf8a7, 0x6b, 0xf8b4, - 0x69, 0xf8c0, 0x68, 0xf8cd, 0x67, 0xf8d9, 0x65, 0xf8e6, - 0x64, 0xf8f2, 0x62, 0xf8ff, 0x61, 0xf90b, 0x60, 0xf918, - 0x5e, 0xf924, 0x5d, 0xf931, 0x5c, 0xf93d, 0x5a, 0xf94a, - 0x59, 0xf956, 0x58, 0xf963, 0x56, 0xf96f, 0x55, 0xf97c, - 0x54, 0xf988, 0x53, 0xf995, 0x51, 0xf9a1, 0x50, 0xf9ae, - 0x4f, 0xf9ba, 0x4e, 0xf9c7, 0x4c, 0xf9d3, 0x4b, 0xf9e0, - 0x4a, 0xf9ec, 0x49, 0xf9f9, 0x48, 0xfa05, 0x47, 0xfa12, - 0x45, 0xfa1e, 0x44, 0xfa2b, 0x43, 0xfa37, 0x42, 0xfa44, - 0x41, 0xfa50, 0x40, 0xfa5d, 0x3f, 0xfa69, 0x3d, 0xfa76, - 0x3c, 0xfa82, 0x3b, 0xfa8f, 0x3a, 0xfa9b, 0x39, 0xfaa8, - 0x38, 0xfab4, 0x37, 0xfac1, 0x36, 0xfacd, 0x35, 0xfada, - 0x34, 0xfae6, 0x33, 0xfaf3, 0x32, 0xfb00, 0x31, 0xfb0c, - 0x30, 0xfb19, 0x2f, 0xfb25, 0x2e, 0xfb32, 0x2d, 0xfb3e, - 0x2c, 0xfb4b, 0x2b, 0xfb57, 0x2b, 0xfb64, 0x2a, 0xfb70, - 0x29, 0xfb7d, 0x28, 0xfb89, 0x27, 0xfb96, 0x26, 0xfba2, - 0x25, 0xfbaf, 0x24, 0xfbbc, 0x24, 0xfbc8, 0x23, 0xfbd5, - 0x22, 0xfbe1, 0x21, 0xfbee, 0x20, 0xfbfa, 0x20, 0xfc07, - 0x1f, 0xfc13, 0x1e, 0xfc20, 0x1d, 0xfc2c, 0x1d, 0xfc39, - 0x1c, 0xfc45, 0x1b, 0xfc52, 0x1a, 0xfc5f, 0x1a, 0xfc6b, - 0x19, 0xfc78, 0x18, 0xfc84, 0x18, 0xfc91, 0x17, 0xfc9d, - 0x16, 0xfcaa, 0x16, 0xfcb6, 0x15, 0xfcc3, 0x14, 0xfcd0, - 0x14, 0xfcdc, 0x13, 0xfce9, 0x13, 0xfcf5, 0x12, 0xfd02, - 0x11, 0xfd0e, 0x11, 0xfd1b, 0x10, 0xfd27, 0x10, 0xfd34, - 0xf, 0xfd40, 0xf, 0xfd4d, 0xe, 0xfd5a, 0xe, 0xfd66, - 0xd, 0xfd73, 0xd, 0xfd7f, 0xc, 0xfd8c, 0xc, 0xfd98, - 0xb, 0xfda5, 0xb, 0xfdb2, 0xa, 0xfdbe, 0xa, 0xfdcb, - 0x9, 0xfdd7, 0x9, 0xfde4, 0x9, 0xfdf0, 0x8, 0xfdfd, - 0x8, 0xfe09, 0x7, 0xfe16, 0x7, 0xfe23, 0x7, 0xfe2f, - 0x6, 0xfe3c, 0x6, 0xfe48, 0x6, 0xfe55, 0x5, 0xfe61, - 0x5, 0xfe6e, 0x5, 0xfe7a, 0x4, 0xfe87, 0x4, 0xfe94, - 0x4, 0xfea0, 0x4, 0xfead, 0x3, 0xfeb9, 0x3, 0xfec6, - 0x3, 0xfed2, 0x3, 0xfedf, 0x2, 0xfeec, 0x2, 0xfef8, - 0x2, 0xff05, 0x2, 0xff11, 0x2, 0xff1e, 0x1, 0xff2a, - 0x1, 0xff37, 0x1, 0xff44, 0x1, 0xff50, 0x1, 0xff5d, - 0x1, 0xff69, 0x1, 0xff76, 0x0, 0xff82, 0x0, 0xff8f, - 0x0, 0xff9b, 0x0, 0xffa8, 0x0, 0xffb5, 0x0, 0xffc1, - 0x0, 0xffce, 0x0, 0xffda, 0x0, 0xffe7, 0x0, 0xfff3, - 0x0, 0x0, 0x0, 0xd, 0x0, 0x19, 0x0, 0x26, - 0x0, 0x32, 0x0, 0x3f, 0x0, 0x4b, 0x0, 0x58, - 0x0, 0x65, 0x0, 0x71, 0x0, 0x7e, 0x1, 0x8a, - 0x1, 0x97, 0x1, 0xa3, 0x1, 0xb0, 0x1, 0xbc, - 0x1, 0xc9, 0x1, 0xd6, 0x2, 0xe2, 0x2, 0xef, - 0x2, 0xfb, 0x2, 0x108, 0x2, 0x114, 0x3, 0x121, - 0x3, 0x12e, 0x3, 0x13a, 0x3, 0x147, 0x4, 0x153, - 0x4, 0x160, 0x4, 0x16c, 0x4, 0x179, 0x5, 0x186, - 0x5, 0x192, 0x5, 0x19f, 0x6, 0x1ab, 0x6, 0x1b8, - 0x6, 0x1c4, 0x7, 0x1d1, 0x7, 0x1dd, 0x7, 0x1ea, - 0x8, 0x1f7, 0x8, 0x203, 0x9, 0x210, 0x9, 0x21c, - 0x9, 0x229, 0xa, 0x235, 0xa, 0x242, 0xb, 0x24e, - 0xb, 0x25b, 0xc, 0x268, 0xc, 0x274, 0xd, 0x281, - 0xd, 0x28d, 0xe, 0x29a, 0xe, 0x2a6, 0xf, 0x2b3, - 0xf, 0x2c0, 0x10, 0x2cc, 0x10, 0x2d9, 0x11, 0x2e5, - 0x11, 0x2f2, 0x12, 0x2fe, 0x13, 0x30b, 0x13, 0x317, - 0x14, 0x324, 0x14, 0x330, 0x15, 0x33d, 0x16, 0x34a, - 0x16, 0x356, 0x17, 0x363, 0x18, 0x36f, 0x18, 0x37c, - 0x19, 0x388, 0x1a, 0x395, 0x1a, 0x3a1, 0x1b, 0x3ae, - 0x1c, 0x3bb, 0x1d, 0x3c7, 0x1d, 0x3d4, 0x1e, 0x3e0, - 0x1f, 0x3ed, 0x20, 0x3f9, 0x20, 0x406, 0x21, 0x412, - 0x22, 0x41f, 0x23, 0x42b, 0x24, 0x438, 0x24, 0x444, - 0x25, 0x451, 0x26, 0x45e, 0x27, 0x46a, 0x28, 0x477, - 0x29, 0x483, 0x2a, 0x490, 0x2b, 0x49c, 0x2b, 0x4a9, - 0x2c, 0x4b5, 0x2d, 0x4c2, 0x2e, 0x4ce, 0x2f, 0x4db, - 0x30, 0x4e7, 0x31, 0x4f4, 0x32, 0x500, 0x33, 0x50d, - 0x34, 0x51a, 0x35, 0x526, 0x36, 0x533, 0x37, 0x53f, - 0x38, 0x54c, 0x39, 0x558, 0x3a, 0x565, 0x3b, 0x571, - 0x3c, 0x57e, 0x3d, 0x58a, 0x3f, 0x597, 0x40, 0x5a3, - 0x41, 0x5b0, 0x42, 0x5bc, 0x43, 0x5c9, 0x44, 0x5d5, - 0x45, 0x5e2, 0x47, 0x5ee, 0x48, 0x5fb, 0x49, 0x607, - 0x4a, 0x614, 0x4b, 0x620, 0x4c, 0x62d, 0x4e, 0x639, - 0x4f, 0x646, 0x50, 0x652, 0x51, 0x65f, 0x53, 0x66b, - 0x54, 0x678, 0x55, 0x684, 0x56, 0x691, 0x58, 0x69d, - 0x59, 0x6aa, 0x5a, 0x6b6, 0x5c, 0x6c3, 0x5d, 0x6cf, - 0x5e, 0x6dc, 0x60, 0x6e8, 0x61, 0x6f5, 0x62, 0x701, - 0x64, 0x70e, 0x65, 0x71a, 0x67, 0x727, 0x68, 0x733, - 0x69, 0x740, 0x6b, 0x74c, 0x6c, 0x759, 0x6e, 0x765, - 0x6f, 0x772, 0x71, 0x77e, 0x72, 0x78b, 0x74, 0x797, - 0x75, 0x7a4, 0x77, 0x7b0, 0x78, 0x7bd, 0x7a, 0x7c9, - 0x7b, 0x7d6, 0x7d, 0x7e2, 0x7e, 0x7ef, 0x80, 0x7fb, - 0x81, 0x807, 0x83, 0x814, 0x85, 0x820, 0x86, 0x82d, - 0x88, 0x839, 0x89, 0x846, 0x8b, 0x852, 0x8d, 0x85f, - 0x8e, 0x86b, 0x90, 0x878, 0x92, 0x884, 0x93, 0x891, - 0x95, 0x89d, 0x97, 0x8a9, 0x98, 0x8b6, 0x9a, 0x8c2, - 0x9c, 0x8cf, 0x9e, 0x8db, 0x9f, 0x8e8, 0xa1, 0x8f4, - 0xa3, 0x901, 0xa5, 0x90d, 0xa6, 0x919, 0xa8, 0x926, - 0xaa, 0x932, 0xac, 0x93f, 0xae, 0x94b, 0xaf, 0x958, - 0xb1, 0x964, 0xb3, 0x970, 0xb5, 0x97d, 0xb7, 0x989, - 0xb9, 0x996, 0xbb, 0x9a2, 0xbd, 0x9af, 0xbe, 0x9bb, - 0xc0, 0x9c7, 0xc2, 0x9d4, 0xc4, 0x9e0, 0xc6, 0x9ed, - 0xc8, 0x9f9, 0xca, 0xa06, 0xcc, 0xa12, 0xce, 0xa1e, - 0xd0, 0xa2b, 0xd2, 0xa37, 0xd4, 0xa44, 0xd6, 0xa50, - 0xd8, 0xa5c, 0xda, 0xa69, 0xdc, 0xa75, 0xde, 0xa82, - 0xe0, 0xa8e, 0xe2, 0xa9a, 0xe4, 0xaa7, 0xe7, 0xab3, - 0xe9, 0xac0, 0xeb, 0xacc, 0xed, 0xad8, 0xef, 0xae5, - 0xf1, 0xaf1, 0xf3, 0xafd, 0xf6, 0xb0a, 0xf8, 0xb16, - 0xfa, 0xb23, 0xfc, 0xb2f, 0xfe, 0xb3b, 0x100, 0xb48, - 0x103, 0xb54, 0x105, 0xb60, 0x107, 0xb6d, 0x109, 0xb79, - 0x10c, 0xb85, 0x10e, 0xb92, 0x110, 0xb9e, 0x113, 0xbab, - 0x115, 0xbb7, 0x117, 0xbc3, 0x119, 0xbd0, 0x11c, 0xbdc, - 0x11e, 0xbe8, 0x120, 0xbf5, 0x123, 0xc01, 0x125, 0xc0d, - 0x128, 0xc1a, 0x12a, 0xc26, 0x12c, 0xc32, 0x12f, 0xc3f, - 0x131, 0xc4b, 0x134, 0xc57, 0x136, 0xc64, 0x138, 0xc70, - 0x13b, 0xc7c, 0x13d, 0xc89, 0x140, 0xc95, 0x142, 0xca1, - 0x145, 0xcae, 0x147, 0xcba, 0x14a, 0xcc6, 0x14c, 0xcd3, - 0x14f, 0xcdf, 0x151, 0xceb, 0x154, 0xcf8, 0x156, 0xd04, - 0x159, 0xd10, 0x15b, 0xd1c, 0x15e, 0xd29, 0x161, 0xd35, - 0x163, 0xd41, 0x166, 0xd4e, 0x168, 0xd5a, 0x16b, 0xd66, - 0x16e, 0xd72, 0x170, 0xd7f, 0x173, 0xd8b, 0x176, 0xd97, - 0x178, 0xda4, 0x17b, 0xdb0, 0x17e, 0xdbc, 0x180, 0xdc8, - 0x183, 0xdd5, 0x186, 0xde1, 0x189, 0xded, 0x18b, 0xdf9, - 0x18e, 0xe06, 0x191, 0xe12, 0x194, 0xe1e, 0x196, 0xe2b, - 0x199, 0xe37, 0x19c, 0xe43, 0x19f, 0xe4f, 0x1a2, 0xe5c, - 0x1a4, 0xe68, 0x1a7, 0xe74, 0x1aa, 0xe80, 0x1ad, 0xe8c, - 0x1b0, 0xe99, 0x1b3, 0xea5, 0x1b6, 0xeb1, 0x1b8, 0xebd, - 0x1bb, 0xeca, 0x1be, 0xed6, 0x1c1, 0xee2, 0x1c4, 0xeee, - 0x1c7, 0xefb, 0x1ca, 0xf07, 0x1cd, 0xf13, 0x1d0, 0xf1f, - 0x1d3, 0xf2b, 0x1d6, 0xf38, 0x1d9, 0xf44, 0x1dc, 0xf50, - 0x1df, 0xf5c, 0x1e2, 0xf68, 0x1e5, 0xf75, 0x1e8, 0xf81, - 0x1eb, 0xf8d, 0x1ee, 0xf99, 0x1f1, 0xfa5, 0x1f4, 0xfb2, - 0x1f7, 0xfbe, 0x1fa, 0xfca, 0x1fd, 0xfd6, 0x201, 0xfe2, - 0x204, 0xfee, 0x207, 0xffb, 0x20a, 0x1007, 0x20d, 0x1013, - 0x210, 0x101f, 0x213, 0x102b, 0x217, 0x1037, 0x21a, 0x1044, - 0x21d, 0x1050, 0x220, 0x105c, 0x223, 0x1068, 0x227, 0x1074, - 0x22a, 0x1080, 0x22d, 0x108c, 0x230, 0x1099, 0x234, 0x10a5, - 0x237, 0x10b1, 0x23a, 0x10bd, 0x23e, 0x10c9, 0x241, 0x10d5, - 0x244, 0x10e1, 0x247, 0x10ed, 0x24b, 0x10fa, 0x24e, 0x1106, - 0x251, 0x1112, 0x255, 0x111e, 0x258, 0x112a, 0x25c, 0x1136, - 0x25f, 0x1142, 0x262, 0x114e, 0x266, 0x115a, 0x269, 0x1167, - 0x26d, 0x1173, 0x270, 0x117f, 0x273, 0x118b, 0x277, 0x1197, - 0x27a, 0x11a3, 0x27e, 0x11af, 0x281, 0x11bb, 0x285, 0x11c7, - 0x288, 0x11d3, 0x28c, 0x11df, 0x28f, 0x11eb, 0x293, 0x11f7, - 0x296, 0x1204, 0x29a, 0x1210, 0x29d, 0x121c, 0x2a1, 0x1228, - 0x2a5, 0x1234, 0x2a8, 0x1240, 0x2ac, 0x124c, 0x2af, 0x1258, - 0x2b3, 0x1264, 0x2b7, 0x1270, 0x2ba, 0x127c, 0x2be, 0x1288, - 0x2c1, 0x1294, 0x2c5, 0x12a0, 0x2c9, 0x12ac, 0x2cc, 0x12b8, - 0x2d0, 0x12c4, 0x2d4, 0x12d0, 0x2d8, 0x12dc, 0x2db, 0x12e8, - 0x2df, 0x12f4, 0x2e3, 0x1300, 0x2e6, 0x130c, 0x2ea, 0x1318, - 0x2ee, 0x1324, 0x2f2, 0x1330, 0x2f5, 0x133c, 0x2f9, 0x1348, - 0x2fd, 0x1354, 0x301, 0x1360, 0x305, 0x136c, 0x308, 0x1378, - 0x30c, 0x1384, 0x310, 0x1390, 0x314, 0x139c, 0x318, 0x13a8, - 0x31c, 0x13b4, 0x320, 0x13c0, 0x323, 0x13cc, 0x327, 0x13d8, - 0x32b, 0x13e4, 0x32f, 0x13f0, 0x333, 0x13fb, 0x337, 0x1407, - 0x33b, 0x1413, 0x33f, 0x141f, 0x343, 0x142b, 0x347, 0x1437, - 0x34b, 0x1443, 0x34f, 0x144f, 0x353, 0x145b, 0x357, 0x1467, - 0x35b, 0x1473, 0x35f, 0x147f, 0x363, 0x148b, 0x367, 0x1496, - 0x36b, 0x14a2, 0x36f, 0x14ae, 0x373, 0x14ba, 0x377, 0x14c6, - 0x37b, 0x14d2, 0x37f, 0x14de, 0x383, 0x14ea, 0x387, 0x14f6, - 0x38c, 0x1501, 0x390, 0x150d, 0x394, 0x1519, 0x398, 0x1525, - 0x39c, 0x1531, 0x3a0, 0x153d, 0x3a5, 0x1549, 0x3a9, 0x1554, - 0x3ad, 0x1560, 0x3b1, 0x156c, 0x3b5, 0x1578, 0x3ba, 0x1584, - 0x3be, 0x1590, 0x3c2, 0x159b, 0x3c6, 0x15a7, 0x3ca, 0x15b3, - 0x3cf, 0x15bf, 0x3d3, 0x15cb, 0x3d7, 0x15d7, 0x3dc, 0x15e2, - 0x3e0, 0x15ee, 0x3e4, 0x15fa, 0x3e9, 0x1606, 0x3ed, 0x1612, - 0x3f1, 0x161d, 0x3f6, 0x1629, 0x3fa, 0x1635, 0x3fe, 0x1641, - 0x403, 0x164c, 0x407, 0x1658, 0x40b, 0x1664, 0x410, 0x1670, - 0x414, 0x167c, 0x419, 0x1687, 0x41d, 0x1693, 0x422, 0x169f, - 0x426, 0x16ab, 0x42a, 0x16b6, 0x42f, 0x16c2, 0x433, 0x16ce, - 0x438, 0x16da, 0x43c, 0x16e5, 0x441, 0x16f1, 0x445, 0x16fd, - 0x44a, 0x1709, 0x44e, 0x1714, 0x453, 0x1720, 0x457, 0x172c, - 0x45c, 0x1737, 0x461, 0x1743, 0x465, 0x174f, 0x46a, 0x175b, - 0x46e, 0x1766, 0x473, 0x1772, 0x478, 0x177e, 0x47c, 0x1789, - 0x481, 0x1795, 0x485, 0x17a1, 0x48a, 0x17ac, 0x48f, 0x17b8, - 0x493, 0x17c4, 0x498, 0x17cf, 0x49d, 0x17db, 0x4a1, 0x17e7, - 0x4a6, 0x17f2, 0x4ab, 0x17fe, 0x4b0, 0x180a, 0x4b4, 0x1815, - 0x4b9, 0x1821, 0x4be, 0x182d, 0x4c2, 0x1838, 0x4c7, 0x1844, - 0x4cc, 0x184f, 0x4d1, 0x185b, 0x4d6, 0x1867, 0x4da, 0x1872, - 0x4df, 0x187e, 0x4e4, 0x1889, 0x4e9, 0x1895, 0x4ee, 0x18a1, - 0x4f2, 0x18ac, 0x4f7, 0x18b8, 0x4fc, 0x18c3, 0x501, 0x18cf, - 0x506, 0x18db, 0x50b, 0x18e6, 0x510, 0x18f2, 0x515, 0x18fd, - 0x51a, 0x1909, 0x51e, 0x1914, 0x523, 0x1920, 0x528, 0x192c, - 0x52d, 0x1937, 0x532, 0x1943, 0x537, 0x194e, 0x53c, 0x195a, - 0x541, 0x1965, 0x546, 0x1971, 0x54b, 0x197c, 0x550, 0x1988, - 0x555, 0x1993, 0x55a, 0x199f, 0x55f, 0x19aa, 0x564, 0x19b6, - 0x569, 0x19c1, 0x56e, 0x19cd, 0x573, 0x19d8, 0x578, 0x19e4, - 0x57e, 0x19ef, 0x583, 0x19fb, 0x588, 0x1a06, 0x58d, 0x1a12, - 0x592, 0x1a1d, 0x597, 0x1a29, 0x59c, 0x1a34, 0x5a1, 0x1a40, - 0x5a7, 0x1a4b, 0x5ac, 0x1a57, 0x5b1, 0x1a62, 0x5b6, 0x1a6e, - 0x5bb, 0x1a79, 0x5c1, 0x1a84, 0x5c6, 0x1a90, 0x5cb, 0x1a9b, - 0x5d0, 0x1aa7, 0x5d5, 0x1ab2, 0x5db, 0x1abe, 0x5e0, 0x1ac9, - 0x5e5, 0x1ad4, 0x5ea, 0x1ae0, 0x5f0, 0x1aeb, 0x5f5, 0x1af7, - 0x5fa, 0x1b02, 0x600, 0x1b0d, 0x605, 0x1b19, 0x60a, 0x1b24, - 0x610, 0x1b30, 0x615, 0x1b3b, 0x61a, 0x1b46, 0x620, 0x1b52, - 0x625, 0x1b5d, 0x62a, 0x1b68, 0x630, 0x1b74, 0x635, 0x1b7f, - 0x63b, 0x1b8a, 0x640, 0x1b96, 0x645, 0x1ba1, 0x64b, 0x1bac, - 0x650, 0x1bb8, 0x656, 0x1bc3, 0x65b, 0x1bce, 0x661, 0x1bda, - 0x666, 0x1be5, 0x66c, 0x1bf0, 0x671, 0x1bfc, 0x677, 0x1c07, - 0x67c, 0x1c12, 0x682, 0x1c1e, 0x687, 0x1c29, 0x68d, 0x1c34, - 0x692, 0x1c3f, 0x698, 0x1c4b, 0x69d, 0x1c56, 0x6a3, 0x1c61, - 0x6a8, 0x1c6c, 0x6ae, 0x1c78, 0x6b4, 0x1c83, 0x6b9, 0x1c8e, - 0x6bf, 0x1c99, 0x6c5, 0x1ca5, 0x6ca, 0x1cb0, 0x6d0, 0x1cbb, - 0x6d5, 0x1cc6, 0x6db, 0x1cd2, 0x6e1, 0x1cdd, 0x6e6, 0x1ce8, - 0x6ec, 0x1cf3, 0x6f2, 0x1cff, 0x6f7, 0x1d0a, 0x6fd, 0x1d15, - 0x703, 0x1d20, 0x709, 0x1d2b, 0x70e, 0x1d36, 0x714, 0x1d42, - 0x71a, 0x1d4d, 0x720, 0x1d58, 0x725, 0x1d63, 0x72b, 0x1d6e, - 0x731, 0x1d79, 0x737, 0x1d85, 0x73d, 0x1d90, 0x742, 0x1d9b, - 0x748, 0x1da6, 0x74e, 0x1db1, 0x754, 0x1dbc, 0x75a, 0x1dc7, - 0x75f, 0x1dd3, 0x765, 0x1dde, 0x76b, 0x1de9, 0x771, 0x1df4, - 0x777, 0x1dff, 0x77d, 0x1e0a, 0x783, 0x1e15, 0x789, 0x1e20, - 0x78f, 0x1e2b, 0x795, 0x1e36, 0x79a, 0x1e42, 0x7a0, 0x1e4d, - 0x7a6, 0x1e58, 0x7ac, 0x1e63, 0x7b2, 0x1e6e, 0x7b8, 0x1e79, - 0x7be, 0x1e84, 0x7c4, 0x1e8f, 0x7ca, 0x1e9a, 0x7d0, 0x1ea5, - 0x7d6, 0x1eb0, 0x7dc, 0x1ebb, 0x7e2, 0x1ec6, 0x7e8, 0x1ed1, - 0x7ee, 0x1edc, 0x7f5, 0x1ee7, 0x7fb, 0x1ef2, 0x801, 0x1efd, - 0x807, 0x1f08, 0x80d, 0x1f13, 0x813, 0x1f1e, 0x819, 0x1f29, - 0x81f, 0x1f34, 0x825, 0x1f3f, 0x82b, 0x1f4a, 0x832, 0x1f55, - 0x838, 0x1f60, 0x83e, 0x1f6b, 0x844, 0x1f76, 0x84a, 0x1f81, - 0x850, 0x1f8c, 0x857, 0x1f97, 0x85d, 0x1fa2, 0x863, 0x1fac, - 0x869, 0x1fb7, 0x870, 0x1fc2, 0x876, 0x1fcd, 0x87c, 0x1fd8, - 0x882, 0x1fe3, 0x889, 0x1fee, 0x88f, 0x1ff9, 0x895, 0x2004, - 0x89b, 0x200f, 0x8a2, 0x2019, 0x8a8, 0x2024, 0x8ae, 0x202f, - 0x8b5, 0x203a, 0x8bb, 0x2045, 0x8c1, 0x2050, 0x8c8, 0x205b, - 0x8ce, 0x2065, 0x8d4, 0x2070, 0x8db, 0x207b, 0x8e1, 0x2086, - 0x8e8, 0x2091, 0x8ee, 0x209b, 0x8f4, 0x20a6, 0x8fb, 0x20b1, - 0x901, 0x20bc, 0x908, 0x20c7, 0x90e, 0x20d1, 0x915, 0x20dc, - 0x91b, 0x20e7, 0x921, 0x20f2, 0x928, 0x20fd, 0x92e, 0x2107, - 0x935, 0x2112, 0x93b, 0x211d, 0x942, 0x2128, 0x948, 0x2132, - 0x94f, 0x213d, 0x955, 0x2148, 0x95c, 0x2153, 0x963, 0x215d, - 0x969, 0x2168, 0x970, 0x2173, 0x976, 0x217d, 0x97d, 0x2188, - 0x983, 0x2193, 0x98a, 0x219e, 0x991, 0x21a8, 0x997, 0x21b3, - 0x99e, 0x21be, 0x9a4, 0x21c8, 0x9ab, 0x21d3, 0x9b2, 0x21de, - 0x9b8, 0x21e8, 0x9bf, 0x21f3, 0x9c6, 0x21fe, 0x9cc, 0x2208, - 0x9d3, 0x2213, 0x9da, 0x221e, 0x9e0, 0x2228, 0x9e7, 0x2233, - 0x9ee, 0x223d, 0x9f5, 0x2248, 0x9fb, 0x2253, 0xa02, 0x225d, - 0xa09, 0x2268, 0xa10, 0x2272, 0xa16, 0x227d, 0xa1d, 0x2288, - 0xa24, 0x2292, 0xa2b, 0x229d, 0xa32, 0x22a7, 0xa38, 0x22b2, - 0xa3f, 0x22bc, 0xa46, 0x22c7, 0xa4d, 0x22d2, 0xa54, 0x22dc, - 0xa5b, 0x22e7, 0xa61, 0x22f1, 0xa68, 0x22fc, 0xa6f, 0x2306, - 0xa76, 0x2311, 0xa7d, 0x231b, 0xa84, 0x2326, 0xa8b, 0x2330, - 0xa92, 0x233b, 0xa99, 0x2345, 0xa9f, 0x2350, 0xaa6, 0x235a, - 0xaad, 0x2365, 0xab4, 0x236f, 0xabb, 0x237a, 0xac2, 0x2384, - 0xac9, 0x238e, 0xad0, 0x2399, 0xad7, 0x23a3, 0xade, 0x23ae, - 0xae5, 0x23b8, 0xaec, 0x23c3, 0xaf3, 0x23cd, 0xafa, 0x23d7, - 0xb01, 0x23e2, 0xb08, 0x23ec, 0xb0f, 0x23f7, 0xb16, 0x2401, - 0xb1e, 0x240b, 0xb25, 0x2416, 0xb2c, 0x2420, 0xb33, 0x242b, - 0xb3a, 0x2435, 0xb41, 0x243f, 0xb48, 0x244a, 0xb4f, 0x2454, - 0xb56, 0x245e, 0xb5e, 0x2469, 0xb65, 0x2473, 0xb6c, 0x247d, - 0xb73, 0x2488, 0xb7a, 0x2492, 0xb81, 0x249c, 0xb89, 0x24a7, - 0xb90, 0x24b1, 0xb97, 0x24bb, 0xb9e, 0x24c5, 0xba5, 0x24d0, - 0xbad, 0x24da, 0xbb4, 0x24e4, 0xbbb, 0x24ef, 0xbc2, 0x24f9, - 0xbca, 0x2503, 0xbd1, 0x250d, 0xbd8, 0x2518, 0xbe0, 0x2522, - 0xbe7, 0x252c, 0xbee, 0x2536, 0xbf5, 0x2541, 0xbfd, 0x254b, - 0xc04, 0x2555, 0xc0b, 0x255f, 0xc13, 0x2569, 0xc1a, 0x2574, - 0xc21, 0x257e, 0xc29, 0x2588, 0xc30, 0x2592, 0xc38, 0x259c, - 0xc3f, 0x25a6, 0xc46, 0x25b1, 0xc4e, 0x25bb, 0xc55, 0x25c5, - 0xc5d, 0x25cf, 0xc64, 0x25d9, 0xc6b, 0x25e3, 0xc73, 0x25ed, - 0xc7a, 0x25f8, 0xc82, 0x2602, 0xc89, 0x260c, 0xc91, 0x2616, - 0xc98, 0x2620, 0xca0, 0x262a, 0xca7, 0x2634, 0xcaf, 0x263e, - 0xcb6, 0x2648, 0xcbe, 0x2652, 0xcc5, 0x265c, 0xccd, 0x2666, - 0xcd4, 0x2671, 0xcdc, 0x267b, 0xce3, 0x2685, 0xceb, 0x268f, - 0xcf3, 0x2699, 0xcfa, 0x26a3, 0xd02, 0x26ad, 0xd09, 0x26b7, - 0xd11, 0x26c1, 0xd19, 0x26cb, 0xd20, 0x26d5, 0xd28, 0x26df, - 0xd30, 0x26e9, 0xd37, 0x26f3, 0xd3f, 0x26fd, 0xd46, 0x2707, - 0xd4e, 0x2711, 0xd56, 0x271a, 0xd5d, 0x2724, 0xd65, 0x272e, - 0xd6d, 0x2738, 0xd75, 0x2742, 0xd7c, 0x274c, 0xd84, 0x2756, - 0xd8c, 0x2760, 0xd93, 0x276a, 0xd9b, 0x2774, 0xda3, 0x277e, - 0xdab, 0x2788, 0xdb2, 0x2791, 0xdba, 0x279b, 0xdc2, 0x27a5, - 0xdca, 0x27af, 0xdd2, 0x27b9, 0xdd9, 0x27c3, 0xde1, 0x27cd, - 0xde9, 0x27d6, 0xdf1, 0x27e0, 0xdf9, 0x27ea, 0xe01, 0x27f4, - 0xe08, 0x27fe, 0xe10, 0x2808, 0xe18, 0x2811, 0xe20, 0x281b, - 0xe28, 0x2825, 0xe30, 0x282f, 0xe38, 0x2838, 0xe40, 0x2842, - 0xe47, 0x284c, 0xe4f, 0x2856, 0xe57, 0x2860, 0xe5f, 0x2869, - 0xe67, 0x2873, 0xe6f, 0x287d, 0xe77, 0x2886, 0xe7f, 0x2890, - 0xe87, 0x289a, 0xe8f, 0x28a4, 0xe97, 0x28ad, 0xe9f, 0x28b7, - 0xea7, 0x28c1, 0xeaf, 0x28ca, 0xeb7, 0x28d4, 0xebf, 0x28de, - 0xec7, 0x28e7, 0xecf, 0x28f1, 0xed7, 0x28fb, 0xedf, 0x2904, - 0xee7, 0x290e, 0xeef, 0x2918, 0xef7, 0x2921, 0xeff, 0x292b, - 0xf07, 0x2935, 0xf10, 0x293e, 0xf18, 0x2948, 0xf20, 0x2951, - 0xf28, 0x295b, 0xf30, 0x2965, 0xf38, 0x296e, 0xf40, 0x2978, - 0xf48, 0x2981, 0xf51, 0x298b, 0xf59, 0x2994, 0xf61, 0x299e, - 0xf69, 0x29a7, 0xf71, 0x29b1, 0xf79, 0x29bb, 0xf82, 0x29c4, - 0xf8a, 0x29ce, 0xf92, 0x29d7, 0xf9a, 0x29e1, 0xfa3, 0x29ea, - 0xfab, 0x29f4, 0xfb3, 0x29fd, 0xfbb, 0x2a07, 0xfc4, 0x2a10, - 0xfcc, 0x2a1a, 0xfd4, 0x2a23, 0xfdc, 0x2a2c, 0xfe5, 0x2a36, - 0xfed, 0x2a3f, 0xff5, 0x2a49, 0xffe, 0x2a52, 0x1006, 0x2a5c, - 0x100e, 0x2a65, 0x1016, 0x2a6e, 0x101f, 0x2a78, 0x1027, 0x2a81, - 0x1030, 0x2a8b, 0x1038, 0x2a94, 0x1040, 0x2a9d, 0x1049, 0x2aa7, - 0x1051, 0x2ab0, 0x1059, 0x2ab9, 0x1062, 0x2ac3, 0x106a, 0x2acc, - 0x1073, 0x2ad6, 0x107b, 0x2adf, 0x1083, 0x2ae8, 0x108c, 0x2af2, - 0x1094, 0x2afb, 0x109d, 0x2b04, 0x10a5, 0x2b0d, 0x10ae, 0x2b17, - 0x10b6, 0x2b20, 0x10bf, 0x2b29, 0x10c7, 0x2b33, 0x10d0, 0x2b3c, - 0x10d8, 0x2b45, 0x10e0, 0x2b4e, 0x10e9, 0x2b58, 0x10f2, 0x2b61, - 0x10fa, 0x2b6a, 0x1103, 0x2b73, 0x110b, 0x2b7d, 0x1114, 0x2b86, - 0x111c, 0x2b8f, 0x1125, 0x2b98, 0x112d, 0x2ba1, 0x1136, 0x2bab, - 0x113e, 0x2bb4, 0x1147, 0x2bbd, 0x1150, 0x2bc6, 0x1158, 0x2bcf, - 0x1161, 0x2bd8, 0x1169, 0x2be2, 0x1172, 0x2beb, 0x117b, 0x2bf4, - 0x1183, 0x2bfd, 0x118c, 0x2c06, 0x1195, 0x2c0f, 0x119d, 0x2c18, - 0x11a6, 0x2c21, 0x11af, 0x2c2b, 0x11b7, 0x2c34, 0x11c0, 0x2c3d, - 0x11c9, 0x2c46, 0x11d1, 0x2c4f, 0x11da, 0x2c58, 0x11e3, 0x2c61, - 0x11eb, 0x2c6a, 0x11f4, 0x2c73, 0x11fd, 0x2c7c, 0x1206, 0x2c85, - 0x120e, 0x2c8e, 0x1217, 0x2c97, 0x1220, 0x2ca0, 0x1229, 0x2ca9, - 0x1231, 0x2cb2, 0x123a, 0x2cbb, 0x1243, 0x2cc4, 0x124c, 0x2ccd, - 0x1255, 0x2cd6, 0x125d, 0x2cdf, 0x1266, 0x2ce8, 0x126f, 0x2cf1, - 0x1278, 0x2cfa, 0x1281, 0x2d03, 0x128a, 0x2d0c, 0x1292, 0x2d15, - 0x129b, 0x2d1e, 0x12a4, 0x2d27, 0x12ad, 0x2d2f, 0x12b6, 0x2d38, - 0x12bf, 0x2d41, 0x12c8, 0x2d4a, 0x12d1, 0x2d53, 0x12d9, 0x2d5c, - 0x12e2, 0x2d65, 0x12eb, 0x2d6e, 0x12f4, 0x2d76, 0x12fd, 0x2d7f, - 0x1306, 0x2d88, 0x130f, 0x2d91, 0x1318, 0x2d9a, 0x1321, 0x2da3, - 0x132a, 0x2dab, 0x1333, 0x2db4, 0x133c, 0x2dbd, 0x1345, 0x2dc6, - 0x134e, 0x2dcf, 0x1357, 0x2dd7, 0x1360, 0x2de0, 0x1369, 0x2de9, - 0x1372, 0x2df2, 0x137b, 0x2dfa, 0x1384, 0x2e03, 0x138d, 0x2e0c, - 0x1396, 0x2e15, 0x139f, 0x2e1d, 0x13a8, 0x2e26, 0x13b1, 0x2e2f, - 0x13ba, 0x2e37, 0x13c3, 0x2e40, 0x13cc, 0x2e49, 0x13d5, 0x2e51, - 0x13df, 0x2e5a, 0x13e8, 0x2e63, 0x13f1, 0x2e6b, 0x13fa, 0x2e74, - 0x1403, 0x2e7d, 0x140c, 0x2e85, 0x1415, 0x2e8e, 0x141e, 0x2e97, - 0x1428, 0x2e9f, 0x1431, 0x2ea8, 0x143a, 0x2eb0, 0x1443, 0x2eb9, - 0x144c, 0x2ec2, 0x1455, 0x2eca, 0x145f, 0x2ed3, 0x1468, 0x2edb, - 0x1471, 0x2ee4, 0x147a, 0x2eec, 0x1483, 0x2ef5, 0x148d, 0x2efd, - 0x1496, 0x2f06, 0x149f, 0x2f0e, 0x14a8, 0x2f17, 0x14b2, 0x2f20, - 0x14bb, 0x2f28, 0x14c4, 0x2f30, 0x14cd, 0x2f39, 0x14d7, 0x2f41, - 0x14e0, 0x2f4a, 0x14e9, 0x2f52, 0x14f3, 0x2f5b, 0x14fc, 0x2f63, - 0x1505, 0x2f6c, 0x150e, 0x2f74, 0x1518, 0x2f7d, 0x1521, 0x2f85, - 0x152a, 0x2f8d, 0x1534, 0x2f96, 0x153d, 0x2f9e, 0x1547, 0x2fa7, - 0x1550, 0x2faf, 0x1559, 0x2fb7, 0x1563, 0x2fc0, 0x156c, 0x2fc8, - 0x1575, 0x2fd0, 0x157f, 0x2fd9, 0x1588, 0x2fe1, 0x1592, 0x2fea, - 0x159b, 0x2ff2, 0x15a4, 0x2ffa, 0x15ae, 0x3002, 0x15b7, 0x300b, - 0x15c1, 0x3013, 0x15ca, 0x301b, 0x15d4, 0x3024, 0x15dd, 0x302c, - 0x15e6, 0x3034, 0x15f0, 0x303c, 0x15f9, 0x3045, 0x1603, 0x304d, - 0x160c, 0x3055, 0x1616, 0x305d, 0x161f, 0x3066, 0x1629, 0x306e, - 0x1632, 0x3076, 0x163c, 0x307e, 0x1645, 0x3087, 0x164f, 0x308f, - 0x1659, 0x3097, 0x1662, 0x309f, 0x166c, 0x30a7, 0x1675, 0x30af, - 0x167f, 0x30b8, 0x1688, 0x30c0, 0x1692, 0x30c8, 0x169b, 0x30d0, - 0x16a5, 0x30d8, 0x16af, 0x30e0, 0x16b8, 0x30e8, 0x16c2, 0x30f0, - 0x16cb, 0x30f9, 0x16d5, 0x3101, 0x16df, 0x3109, 0x16e8, 0x3111, - 0x16f2, 0x3119, 0x16fc, 0x3121, 0x1705, 0x3129, 0x170f, 0x3131, - 0x1719, 0x3139, 0x1722, 0x3141, 0x172c, 0x3149, 0x1736, 0x3151, - 0x173f, 0x3159, 0x1749, 0x3161, 0x1753, 0x3169, 0x175c, 0x3171, - 0x1766, 0x3179, 0x1770, 0x3181, 0x177a, 0x3189, 0x1783, 0x3191, - 0x178d, 0x3199, 0x1797, 0x31a1, 0x17a0, 0x31a9, 0x17aa, 0x31b1, - 0x17b4, 0x31b9, 0x17be, 0x31c0, 0x17c8, 0x31c8, 0x17d1, 0x31d0, - 0x17db, 0x31d8, 0x17e5, 0x31e0, 0x17ef, 0x31e8, 0x17f8, 0x31f0, - 0x1802, 0x31f8, 0x180c, 0x31ff, 0x1816, 0x3207, 0x1820, 0x320f, - 0x182a, 0x3217, 0x1833, 0x321f, 0x183d, 0x3227, 0x1847, 0x322e, - 0x1851, 0x3236, 0x185b, 0x323e, 0x1865, 0x3246, 0x186f, 0x324e, - 0x1878, 0x3255, 0x1882, 0x325d, 0x188c, 0x3265, 0x1896, 0x326d, - 0x18a0, 0x3274, 0x18aa, 0x327c, 0x18b4, 0x3284, 0x18be, 0x328b, - 0x18c8, 0x3293, 0x18d2, 0x329b, 0x18dc, 0x32a3, 0x18e6, 0x32aa, - 0x18ef, 0x32b2, 0x18f9, 0x32ba, 0x1903, 0x32c1, 0x190d, 0x32c9, - 0x1917, 0x32d0, 0x1921, 0x32d8, 0x192b, 0x32e0, 0x1935, 0x32e7, - 0x193f, 0x32ef, 0x1949, 0x32f7, 0x1953, 0x32fe, 0x195d, 0x3306, - 0x1967, 0x330d, 0x1971, 0x3315, 0x197b, 0x331d, 0x1985, 0x3324, - 0x198f, 0x332c, 0x199a, 0x3333, 0x19a4, 0x333b, 0x19ae, 0x3342, - 0x19b8, 0x334a, 0x19c2, 0x3351, 0x19cc, 0x3359, 0x19d6, 0x3360, - 0x19e0, 0x3368, 0x19ea, 0x336f, 0x19f4, 0x3377, 0x19fe, 0x337e, - 0x1a08, 0x3386, 0x1a13, 0x338d, 0x1a1d, 0x3395, 0x1a27, 0x339c, - 0x1a31, 0x33a3, 0x1a3b, 0x33ab, 0x1a45, 0x33b2, 0x1a4f, 0x33ba, - 0x1a5a, 0x33c1, 0x1a64, 0x33c8, 0x1a6e, 0x33d0, 0x1a78, 0x33d7, - 0x1a82, 0x33df, 0x1a8c, 0x33e6, 0x1a97, 0x33ed, 0x1aa1, 0x33f5, - 0x1aab, 0x33fc, 0x1ab5, 0x3403, 0x1abf, 0x340b, 0x1aca, 0x3412, - 0x1ad4, 0x3419, 0x1ade, 0x3420, 0x1ae8, 0x3428, 0x1af3, 0x342f, - 0x1afd, 0x3436, 0x1b07, 0x343e, 0x1b11, 0x3445, 0x1b1c, 0x344c, - 0x1b26, 0x3453, 0x1b30, 0x345b, 0x1b3b, 0x3462, 0x1b45, 0x3469, - 0x1b4f, 0x3470, 0x1b59, 0x3477, 0x1b64, 0x347f, 0x1b6e, 0x3486, - 0x1b78, 0x348d, 0x1b83, 0x3494, 0x1b8d, 0x349b, 0x1b97, 0x34a2, - 0x1ba2, 0x34aa, 0x1bac, 0x34b1, 0x1bb6, 0x34b8, 0x1bc1, 0x34bf, - 0x1bcb, 0x34c6, 0x1bd5, 0x34cd, 0x1be0, 0x34d4, 0x1bea, 0x34db, - 0x1bf5, 0x34e2, 0x1bff, 0x34ea, 0x1c09, 0x34f1, 0x1c14, 0x34f8, - 0x1c1e, 0x34ff, 0x1c29, 0x3506, 0x1c33, 0x350d, 0x1c3d, 0x3514, - 0x1c48, 0x351b, 0x1c52, 0x3522, 0x1c5d, 0x3529, 0x1c67, 0x3530, - 0x1c72, 0x3537, 0x1c7c, 0x353e, 0x1c86, 0x3545, 0x1c91, 0x354c, - 0x1c9b, 0x3553, 0x1ca6, 0x355a, 0x1cb0, 0x3561, 0x1cbb, 0x3567, - 0x1cc5, 0x356e, 0x1cd0, 0x3575, 0x1cda, 0x357c, 0x1ce5, 0x3583, - 0x1cef, 0x358a, 0x1cfa, 0x3591, 0x1d04, 0x3598, 0x1d0f, 0x359f, - 0x1d19, 0x35a5, 0x1d24, 0x35ac, 0x1d2e, 0x35b3, 0x1d39, 0x35ba, - 0x1d44, 0x35c1, 0x1d4e, 0x35c8, 0x1d59, 0x35ce, 0x1d63, 0x35d5, - 0x1d6e, 0x35dc, 0x1d78, 0x35e3, 0x1d83, 0x35ea, 0x1d8e, 0x35f0, - 0x1d98, 0x35f7, 0x1da3, 0x35fe, 0x1dad, 0x3605, 0x1db8, 0x360b, - 0x1dc3, 0x3612, 0x1dcd, 0x3619, 0x1dd8, 0x3620, 0x1de2, 0x3626, - 0x1ded, 0x362d, 0x1df8, 0x3634, 0x1e02, 0x363a, 0x1e0d, 0x3641, - 0x1e18, 0x3648, 0x1e22, 0x364e, 0x1e2d, 0x3655, 0x1e38, 0x365c, - 0x1e42, 0x3662, 0x1e4d, 0x3669, 0x1e58, 0x366f, 0x1e62, 0x3676, - 0x1e6d, 0x367d, 0x1e78, 0x3683, 0x1e83, 0x368a, 0x1e8d, 0x3690, - 0x1e98, 0x3697, 0x1ea3, 0x369d, 0x1ead, 0x36a4, 0x1eb8, 0x36ab, - 0x1ec3, 0x36b1, 0x1ece, 0x36b8, 0x1ed8, 0x36be, 0x1ee3, 0x36c5, - 0x1eee, 0x36cb, 0x1ef9, 0x36d2, 0x1f03, 0x36d8, 0x1f0e, 0x36df, - 0x1f19, 0x36e5, 0x1f24, 0x36eb, 0x1f2f, 0x36f2, 0x1f39, 0x36f8, - 0x1f44, 0x36ff, 0x1f4f, 0x3705, 0x1f5a, 0x370c, 0x1f65, 0x3712, - 0x1f6f, 0x3718, 0x1f7a, 0x371f, 0x1f85, 0x3725, 0x1f90, 0x372c, - 0x1f9b, 0x3732, 0x1fa5, 0x3738, 0x1fb0, 0x373f, 0x1fbb, 0x3745, - 0x1fc6, 0x374b, 0x1fd1, 0x3752, 0x1fdc, 0x3758, 0x1fe7, 0x375e, - 0x1ff1, 0x3765, 0x1ffc, 0x376b, 0x2007, 0x3771, 0x2012, 0x3777, - 0x201d, 0x377e, 0x2028, 0x3784, 0x2033, 0x378a, 0x203e, 0x3790, - 0x2049, 0x3797, 0x2054, 0x379d, 0x205e, 0x37a3, 0x2069, 0x37a9, - 0x2074, 0x37b0, 0x207f, 0x37b6, 0x208a, 0x37bc, 0x2095, 0x37c2, - 0x20a0, 0x37c8, 0x20ab, 0x37ce, 0x20b6, 0x37d5, 0x20c1, 0x37db, - 0x20cc, 0x37e1, 0x20d7, 0x37e7, 0x20e2, 0x37ed, 0x20ed, 0x37f3, - 0x20f8, 0x37f9, 0x2103, 0x37ff, 0x210e, 0x3805, 0x2119, 0x380b, - 0x2124, 0x3812, 0x212f, 0x3818, 0x213a, 0x381e, 0x2145, 0x3824, - 0x2150, 0x382a, 0x215b, 0x3830, 0x2166, 0x3836, 0x2171, 0x383c, - 0x217c, 0x3842, 0x2187, 0x3848, 0x2192, 0x384e, 0x219d, 0x3854, - 0x21a8, 0x385a, 0x21b3, 0x3860, 0x21be, 0x3866, 0x21ca, 0x386b, - 0x21d5, 0x3871, 0x21e0, 0x3877, 0x21eb, 0x387d, 0x21f6, 0x3883, - 0x2201, 0x3889, 0x220c, 0x388f, 0x2217, 0x3895, 0x2222, 0x389b, - 0x222d, 0x38a1, 0x2239, 0x38a6, 0x2244, 0x38ac, 0x224f, 0x38b2, - 0x225a, 0x38b8, 0x2265, 0x38be, 0x2270, 0x38c3, 0x227b, 0x38c9, - 0x2287, 0x38cf, 0x2292, 0x38d5, 0x229d, 0x38db, 0x22a8, 0x38e0, - 0x22b3, 0x38e6, 0x22be, 0x38ec, 0x22ca, 0x38f2, 0x22d5, 0x38f7, - 0x22e0, 0x38fd, 0x22eb, 0x3903, 0x22f6, 0x3909, 0x2301, 0x390e, - 0x230d, 0x3914, 0x2318, 0x391a, 0x2323, 0x391f, 0x232e, 0x3925, - 0x233a, 0x392b, 0x2345, 0x3930, 0x2350, 0x3936, 0x235b, 0x393b, - 0x2367, 0x3941, 0x2372, 0x3947, 0x237d, 0x394c, 0x2388, 0x3952, - 0x2394, 0x3958, 0x239f, 0x395d, 0x23aa, 0x3963, 0x23b5, 0x3968, - 0x23c1, 0x396e, 0x23cc, 0x3973, 0x23d7, 0x3979, 0x23e2, 0x397e, - 0x23ee, 0x3984, 0x23f9, 0x3989, 0x2404, 0x398f, 0x2410, 0x3994, - 0x241b, 0x399a, 0x2426, 0x399f, 0x2432, 0x39a5, 0x243d, 0x39aa, - 0x2448, 0x39b0, 0x2454, 0x39b5, 0x245f, 0x39bb, 0x246a, 0x39c0, - 0x2476, 0x39c5, 0x2481, 0x39cb, 0x248c, 0x39d0, 0x2498, 0x39d6, - 0x24a3, 0x39db, 0x24ae, 0x39e0, 0x24ba, 0x39e6, 0x24c5, 0x39eb, - 0x24d0, 0x39f0, 0x24dc, 0x39f6, 0x24e7, 0x39fb, 0x24f3, 0x3a00, - 0x24fe, 0x3a06, 0x2509, 0x3a0b, 0x2515, 0x3a10, 0x2520, 0x3a16, - 0x252c, 0x3a1b, 0x2537, 0x3a20, 0x2542, 0x3a25, 0x254e, 0x3a2b, - 0x2559, 0x3a30, 0x2565, 0x3a35, 0x2570, 0x3a3a, 0x257c, 0x3a3f, - 0x2587, 0x3a45, 0x2592, 0x3a4a, 0x259e, 0x3a4f, 0x25a9, 0x3a54, - 0x25b5, 0x3a59, 0x25c0, 0x3a5f, 0x25cc, 0x3a64, 0x25d7, 0x3a69, - 0x25e3, 0x3a6e, 0x25ee, 0x3a73, 0x25fa, 0x3a78, 0x2605, 0x3a7d, - 0x2611, 0x3a82, 0x261c, 0x3a88, 0x2628, 0x3a8d, 0x2633, 0x3a92, - 0x263f, 0x3a97, 0x264a, 0x3a9c, 0x2656, 0x3aa1, 0x2661, 0x3aa6, - 0x266d, 0x3aab, 0x2678, 0x3ab0, 0x2684, 0x3ab5, 0x268f, 0x3aba, - 0x269b, 0x3abf, 0x26a6, 0x3ac4, 0x26b2, 0x3ac9, 0x26bd, 0x3ace, - 0x26c9, 0x3ad3, 0x26d4, 0x3ad8, 0x26e0, 0x3add, 0x26ec, 0x3ae2, - 0x26f7, 0x3ae6, 0x2703, 0x3aeb, 0x270e, 0x3af0, 0x271a, 0x3af5, - 0x2725, 0x3afa, 0x2731, 0x3aff, 0x273d, 0x3b04, 0x2748, 0x3b09, - 0x2754, 0x3b0e, 0x275f, 0x3b12, 0x276b, 0x3b17, 0x2777, 0x3b1c, - 0x2782, 0x3b21, 0x278e, 0x3b26, 0x2799, 0x3b2a, 0x27a5, 0x3b2f, - 0x27b1, 0x3b34, 0x27bc, 0x3b39, 0x27c8, 0x3b3e, 0x27d3, 0x3b42, - 0x27df, 0x3b47, 0x27eb, 0x3b4c, 0x27f6, 0x3b50, 0x2802, 0x3b55, - 0x280e, 0x3b5a, 0x2819, 0x3b5f, 0x2825, 0x3b63, 0x2831, 0x3b68, - 0x283c, 0x3b6d, 0x2848, 0x3b71, 0x2854, 0x3b76, 0x285f, 0x3b7b, - 0x286b, 0x3b7f, 0x2877, 0x3b84, 0x2882, 0x3b88, 0x288e, 0x3b8d, - 0x289a, 0x3b92, 0x28a5, 0x3b96, 0x28b1, 0x3b9b, 0x28bd, 0x3b9f, - 0x28c9, 0x3ba4, 0x28d4, 0x3ba9, 0x28e0, 0x3bad, 0x28ec, 0x3bb2, - 0x28f7, 0x3bb6, 0x2903, 0x3bbb, 0x290f, 0x3bbf, 0x291b, 0x3bc4, - 0x2926, 0x3bc8, 0x2932, 0x3bcd, 0x293e, 0x3bd1, 0x294a, 0x3bd6, - 0x2955, 0x3bda, 0x2961, 0x3bde, 0x296d, 0x3be3, 0x2979, 0x3be7, - 0x2984, 0x3bec, 0x2990, 0x3bf0, 0x299c, 0x3bf5, 0x29a8, 0x3bf9, - 0x29b4, 0x3bfd, 0x29bf, 0x3c02, 0x29cb, 0x3c06, 0x29d7, 0x3c0a, - 0x29e3, 0x3c0f, 0x29ee, 0x3c13, 0x29fa, 0x3c17, 0x2a06, 0x3c1c, - 0x2a12, 0x3c20, 0x2a1e, 0x3c24, 0x2a29, 0x3c29, 0x2a35, 0x3c2d, - 0x2a41, 0x3c31, 0x2a4d, 0x3c36, 0x2a59, 0x3c3a, 0x2a65, 0x3c3e, - 0x2a70, 0x3c42, 0x2a7c, 0x3c46, 0x2a88, 0x3c4b, 0x2a94, 0x3c4f, - 0x2aa0, 0x3c53, 0x2aac, 0x3c57, 0x2ab7, 0x3c5b, 0x2ac3, 0x3c60, - 0x2acf, 0x3c64, 0x2adb, 0x3c68, 0x2ae7, 0x3c6c, 0x2af3, 0x3c70, - 0x2aff, 0x3c74, 0x2b0a, 0x3c79, 0x2b16, 0x3c7d, 0x2b22, 0x3c81, - 0x2b2e, 0x3c85, 0x2b3a, 0x3c89, 0x2b46, 0x3c8d, 0x2b52, 0x3c91, - 0x2b5e, 0x3c95, 0x2b6a, 0x3c99, 0x2b75, 0x3c9d, 0x2b81, 0x3ca1, - 0x2b8d, 0x3ca5, 0x2b99, 0x3ca9, 0x2ba5, 0x3cad, 0x2bb1, 0x3cb1, - 0x2bbd, 0x3cb5, 0x2bc9, 0x3cb9, 0x2bd5, 0x3cbd, 0x2be1, 0x3cc1, - 0x2bed, 0x3cc5, 0x2bf9, 0x3cc9, 0x2c05, 0x3ccd, 0x2c10, 0x3cd1, - 0x2c1c, 0x3cd5, 0x2c28, 0x3cd9, 0x2c34, 0x3cdd, 0x2c40, 0x3ce0, - 0x2c4c, 0x3ce4, 0x2c58, 0x3ce8, 0x2c64, 0x3cec, 0x2c70, 0x3cf0, - 0x2c7c, 0x3cf4, 0x2c88, 0x3cf8, 0x2c94, 0x3cfb, 0x2ca0, 0x3cff, - 0x2cac, 0x3d03, 0x2cb8, 0x3d07, 0x2cc4, 0x3d0b, 0x2cd0, 0x3d0e, - 0x2cdc, 0x3d12, 0x2ce8, 0x3d16, 0x2cf4, 0x3d1a, 0x2d00, 0x3d1d, - 0x2d0c, 0x3d21, 0x2d18, 0x3d25, 0x2d24, 0x3d28, 0x2d30, 0x3d2c, - 0x2d3c, 0x3d30, 0x2d48, 0x3d34, 0x2d54, 0x3d37, 0x2d60, 0x3d3b, - 0x2d6c, 0x3d3f, 0x2d78, 0x3d42, 0x2d84, 0x3d46, 0x2d90, 0x3d49, - 0x2d9c, 0x3d4d, 0x2da8, 0x3d51, 0x2db4, 0x3d54, 0x2dc0, 0x3d58, - 0x2dcc, 0x3d5b, 0x2dd8, 0x3d5f, 0x2de4, 0x3d63, 0x2df0, 0x3d66, - 0x2dfc, 0x3d6a, 0x2e09, 0x3d6d, 0x2e15, 0x3d71, 0x2e21, 0x3d74, - 0x2e2d, 0x3d78, 0x2e39, 0x3d7b, 0x2e45, 0x3d7f, 0x2e51, 0x3d82, - 0x2e5d, 0x3d86, 0x2e69, 0x3d89, 0x2e75, 0x3d8d, 0x2e81, 0x3d90, - 0x2e8d, 0x3d93, 0x2e99, 0x3d97, 0x2ea6, 0x3d9a, 0x2eb2, 0x3d9e, - 0x2ebe, 0x3da1, 0x2eca, 0x3da4, 0x2ed6, 0x3da8, 0x2ee2, 0x3dab, - 0x2eee, 0x3daf, 0x2efa, 0x3db2, 0x2f06, 0x3db5, 0x2f13, 0x3db9, - 0x2f1f, 0x3dbc, 0x2f2b, 0x3dbf, 0x2f37, 0x3dc2, 0x2f43, 0x3dc6, - 0x2f4f, 0x3dc9, 0x2f5b, 0x3dcc, 0x2f67, 0x3dd0, 0x2f74, 0x3dd3, - 0x2f80, 0x3dd6, 0x2f8c, 0x3dd9, 0x2f98, 0x3ddd, 0x2fa4, 0x3de0, - 0x2fb0, 0x3de3, 0x2fbc, 0x3de6, 0x2fc9, 0x3de9, 0x2fd5, 0x3ded, - 0x2fe1, 0x3df0, 0x2fed, 0x3df3, 0x2ff9, 0x3df6, 0x3005, 0x3df9, - 0x3012, 0x3dfc, 0x301e, 0x3dff, 0x302a, 0x3e03, 0x3036, 0x3e06, - 0x3042, 0x3e09, 0x304e, 0x3e0c, 0x305b, 0x3e0f, 0x3067, 0x3e12, - 0x3073, 0x3e15, 0x307f, 0x3e18, 0x308b, 0x3e1b, 0x3098, 0x3e1e, - 0x30a4, 0x3e21, 0x30b0, 0x3e24, 0x30bc, 0x3e27, 0x30c8, 0x3e2a, - 0x30d5, 0x3e2d, 0x30e1, 0x3e30, 0x30ed, 0x3e33, 0x30f9, 0x3e36, - 0x3105, 0x3e39, 0x3112, 0x3e3c, 0x311e, 0x3e3f, 0x312a, 0x3e42, - 0x3136, 0x3e45, 0x3143, 0x3e48, 0x314f, 0x3e4a, 0x315b, 0x3e4d, - 0x3167, 0x3e50, 0x3174, 0x3e53, 0x3180, 0x3e56, 0x318c, 0x3e59, - 0x3198, 0x3e5c, 0x31a4, 0x3e5e, 0x31b1, 0x3e61, 0x31bd, 0x3e64, - 0x31c9, 0x3e67, 0x31d5, 0x3e6a, 0x31e2, 0x3e6c, 0x31ee, 0x3e6f, - 0x31fa, 0x3e72, 0x3207, 0x3e75, 0x3213, 0x3e77, 0x321f, 0x3e7a, - 0x322b, 0x3e7d, 0x3238, 0x3e80, 0x3244, 0x3e82, 0x3250, 0x3e85, - 0x325c, 0x3e88, 0x3269, 0x3e8a, 0x3275, 0x3e8d, 0x3281, 0x3e90, - 0x328e, 0x3e92, 0x329a, 0x3e95, 0x32a6, 0x3e98, 0x32b2, 0x3e9a, - 0x32bf, 0x3e9d, 0x32cb, 0x3e9f, 0x32d7, 0x3ea2, 0x32e4, 0x3ea5, - 0x32f0, 0x3ea7, 0x32fc, 0x3eaa, 0x3308, 0x3eac, 0x3315, 0x3eaf, - 0x3321, 0x3eb1, 0x332d, 0x3eb4, 0x333a, 0x3eb6, 0x3346, 0x3eb9, - 0x3352, 0x3ebb, 0x335f, 0x3ebe, 0x336b, 0x3ec0, 0x3377, 0x3ec3, - 0x3384, 0x3ec5, 0x3390, 0x3ec8, 0x339c, 0x3eca, 0x33a9, 0x3ecc, - 0x33b5, 0x3ecf, 0x33c1, 0x3ed1, 0x33ce, 0x3ed4, 0x33da, 0x3ed6, - 0x33e6, 0x3ed8, 0x33f3, 0x3edb, 0x33ff, 0x3edd, 0x340b, 0x3ee0, - 0x3418, 0x3ee2, 0x3424, 0x3ee4, 0x3430, 0x3ee7, 0x343d, 0x3ee9, - 0x3449, 0x3eeb, 0x3455, 0x3eed, 0x3462, 0x3ef0, 0x346e, 0x3ef2, - 0x347b, 0x3ef4, 0x3487, 0x3ef7, 0x3493, 0x3ef9, 0x34a0, 0x3efb, - 0x34ac, 0x3efd, 0x34b8, 0x3f00, 0x34c5, 0x3f02, 0x34d1, 0x3f04, - 0x34dd, 0x3f06, 0x34ea, 0x3f08, 0x34f6, 0x3f0a, 0x3503, 0x3f0d, - 0x350f, 0x3f0f, 0x351b, 0x3f11, 0x3528, 0x3f13, 0x3534, 0x3f15, - 0x3540, 0x3f17, 0x354d, 0x3f19, 0x3559, 0x3f1c, 0x3566, 0x3f1e, - 0x3572, 0x3f20, 0x357e, 0x3f22, 0x358b, 0x3f24, 0x3597, 0x3f26, - 0x35a4, 0x3f28, 0x35b0, 0x3f2a, 0x35bc, 0x3f2c, 0x35c9, 0x3f2e, - 0x35d5, 0x3f30, 0x35e2, 0x3f32, 0x35ee, 0x3f34, 0x35fa, 0x3f36, - 0x3607, 0x3f38, 0x3613, 0x3f3a, 0x3620, 0x3f3c, 0x362c, 0x3f3e, - 0x3639, 0x3f40, 0x3645, 0x3f42, 0x3651, 0x3f43, 0x365e, 0x3f45, - 0x366a, 0x3f47, 0x3677, 0x3f49, 0x3683, 0x3f4b, 0x3690, 0x3f4d, - 0x369c, 0x3f4f, 0x36a8, 0x3f51, 0x36b5, 0x3f52, 0x36c1, 0x3f54, - 0x36ce, 0x3f56, 0x36da, 0x3f58, 0x36e7, 0x3f5a, 0x36f3, 0x3f5b, - 0x36ff, 0x3f5d, 0x370c, 0x3f5f, 0x3718, 0x3f61, 0x3725, 0x3f62, - 0x3731, 0x3f64, 0x373e, 0x3f66, 0x374a, 0x3f68, 0x3757, 0x3f69, - 0x3763, 0x3f6b, 0x376f, 0x3f6d, 0x377c, 0x3f6e, 0x3788, 0x3f70, - 0x3795, 0x3f72, 0x37a1, 0x3f73, 0x37ae, 0x3f75, 0x37ba, 0x3f77, - 0x37c7, 0x3f78, 0x37d3, 0x3f7a, 0x37e0, 0x3f7b, 0x37ec, 0x3f7d, - 0x37f9, 0x3f7f, 0x3805, 0x3f80, 0x3811, 0x3f82, 0x381e, 0x3f83, - 0x382a, 0x3f85, 0x3837, 0x3f86, 0x3843, 0x3f88, 0x3850, 0x3f89, - 0x385c, 0x3f8b, 0x3869, 0x3f8c, 0x3875, 0x3f8e, 0x3882, 0x3f8f, - 0x388e, 0x3f91, 0x389b, 0x3f92, 0x38a7, 0x3f94, 0x38b4, 0x3f95, - 0x38c0, 0x3f97, 0x38cd, 0x3f98, 0x38d9, 0x3f99, 0x38e6, 0x3f9b, - 0x38f2, 0x3f9c, 0x38ff, 0x3f9e, 0x390b, 0x3f9f, 0x3918, 0x3fa0, - 0x3924, 0x3fa2, 0x3931, 0x3fa3, 0x393d, 0x3fa4, 0x394a, 0x3fa6, - 0x3956, 0x3fa7, 0x3963, 0x3fa8, 0x396f, 0x3faa, 0x397c, 0x3fab, - 0x3988, 0x3fac, 0x3995, 0x3fad, 0x39a1, 0x3faf, 0x39ae, 0x3fb0, - 0x39ba, 0x3fb1, 0x39c7, 0x3fb2, 0x39d3, 0x3fb4, 0x39e0, 0x3fb5, - 0x39ec, 0x3fb6, 0x39f9, 0x3fb7, 0x3a05, 0x3fb8, 0x3a12, 0x3fb9, - 0x3a1e, 0x3fbb, 0x3a2b, 0x3fbc, 0x3a37, 0x3fbd, 0x3a44, 0x3fbe, - 0x3a50, 0x3fbf, 0x3a5d, 0x3fc0, 0x3a69, 0x3fc1, 0x3a76, 0x3fc3, - 0x3a82, 0x3fc4, 0x3a8f, 0x3fc5, 0x3a9b, 0x3fc6, 0x3aa8, 0x3fc7, - 0x3ab4, 0x3fc8, 0x3ac1, 0x3fc9, 0x3acd, 0x3fca, 0x3ada, 0x3fcb, - 0x3ae6, 0x3fcc, 0x3af3, 0x3fcd, 0x3b00, 0x3fce, 0x3b0c, 0x3fcf, - 0x3b19, 0x3fd0, 0x3b25, 0x3fd1, 0x3b32, 0x3fd2, 0x3b3e, 0x3fd3, - 0x3b4b, 0x3fd4, 0x3b57, 0x3fd5, 0x3b64, 0x3fd5, 0x3b70, 0x3fd6, - 0x3b7d, 0x3fd7, 0x3b89, 0x3fd8, 0x3b96, 0x3fd9, 0x3ba2, 0x3fda, - 0x3baf, 0x3fdb, 0x3bbc, 0x3fdc, 0x3bc8, 0x3fdc, 0x3bd5, 0x3fdd, - 0x3be1, 0x3fde, 0x3bee, 0x3fdf, 0x3bfa, 0x3fe0, 0x3c07, 0x3fe0, - 0x3c13, 0x3fe1, 0x3c20, 0x3fe2, 0x3c2c, 0x3fe3, 0x3c39, 0x3fe3, - 0x3c45, 0x3fe4, 0x3c52, 0x3fe5, 0x3c5f, 0x3fe6, 0x3c6b, 0x3fe6, - 0x3c78, 0x3fe7, 0x3c84, 0x3fe8, 0x3c91, 0x3fe8, 0x3c9d, 0x3fe9, - 0x3caa, 0x3fea, 0x3cb6, 0x3fea, 0x3cc3, 0x3feb, 0x3cd0, 0x3fec, - 0x3cdc, 0x3fec, 0x3ce9, 0x3fed, 0x3cf5, 0x3fed, 0x3d02, 0x3fee, - 0x3d0e, 0x3fef, 0x3d1b, 0x3fef, 0x3d27, 0x3ff0, 0x3d34, 0x3ff0, - 0x3d40, 0x3ff1, 0x3d4d, 0x3ff1, 0x3d5a, 0x3ff2, 0x3d66, 0x3ff2, - 0x3d73, 0x3ff3, 0x3d7f, 0x3ff3, 0x3d8c, 0x3ff4, 0x3d98, 0x3ff4, - 0x3da5, 0x3ff5, 0x3db2, 0x3ff5, 0x3dbe, 0x3ff6, 0x3dcb, 0x3ff6, - 0x3dd7, 0x3ff7, 0x3de4, 0x3ff7, 0x3df0, 0x3ff7, 0x3dfd, 0x3ff8, - 0x3e09, 0x3ff8, 0x3e16, 0x3ff9, 0x3e23, 0x3ff9, 0x3e2f, 0x3ff9, - 0x3e3c, 0x3ffa, 0x3e48, 0x3ffa, 0x3e55, 0x3ffa, 0x3e61, 0x3ffb, - 0x3e6e, 0x3ffb, 0x3e7a, 0x3ffb, 0x3e87, 0x3ffc, 0x3e94, 0x3ffc, - 0x3ea0, 0x3ffc, 0x3ead, 0x3ffc, 0x3eb9, 0x3ffd, 0x3ec6, 0x3ffd, - 0x3ed2, 0x3ffd, 0x3edf, 0x3ffd, 0x3eec, 0x3ffe, 0x3ef8, 0x3ffe, - 0x3f05, 0x3ffe, 0x3f11, 0x3ffe, 0x3f1e, 0x3ffe, 0x3f2a, 0x3fff, - 0x3f37, 0x3fff, 0x3f44, 0x3fff, 0x3f50, 0x3fff, 0x3f5d, 0x3fff, - 0x3f69, 0x3fff, 0x3f76, 0x3fff, 0x3f82, 0x4000, 0x3f8f, 0x4000, - 0x3f9b, 0x4000, 0x3fa8, 0x4000, 0x3fb5, 0x4000, 0x3fc1, 0x4000, - 0x3fce, 0x4000, 0x3fda, 0x4000, 0x3fe7, 0x4000, 0x3ff3, 0x4000, -}; - -/** -* \par -* Generation of real_CoefB array: -* \par -* n = 4096 -* <pre>for (i = 0; i < n; i++) -* { -* pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i)); -* pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i)); -* } </pre> -* \par -* Convert to fixed point Q15 format -* round(pBTable[i] * pow(2, 15)) -* -*/ - -static const q15_t ALIGN4 realCoefBQ15[8192] = { - 0x4000, 0x4000, 0x400d, 0x4000, 0x4019, 0x4000, 0x4026, 0x4000, - 0x4032, 0x4000, 0x403f, 0x4000, 0x404b, 0x4000, 0x4058, 0x4000, - 0x4065, 0x4000, 0x4071, 0x4000, 0x407e, 0x4000, 0x408a, 0x3fff, - 0x4097, 0x3fff, 0x40a3, 0x3fff, 0x40b0, 0x3fff, 0x40bc, 0x3fff, - 0x40c9, 0x3fff, 0x40d6, 0x3fff, 0x40e2, 0x3ffe, 0x40ef, 0x3ffe, - 0x40fb, 0x3ffe, 0x4108, 0x3ffe, 0x4114, 0x3ffe, 0x4121, 0x3ffd, - 0x412e, 0x3ffd, 0x413a, 0x3ffd, 0x4147, 0x3ffd, 0x4153, 0x3ffc, - 0x4160, 0x3ffc, 0x416c, 0x3ffc, 0x4179, 0x3ffc, 0x4186, 0x3ffb, - 0x4192, 0x3ffb, 0x419f, 0x3ffb, 0x41ab, 0x3ffa, 0x41b8, 0x3ffa, - 0x41c4, 0x3ffa, 0x41d1, 0x3ff9, 0x41dd, 0x3ff9, 0x41ea, 0x3ff9, - 0x41f7, 0x3ff8, 0x4203, 0x3ff8, 0x4210, 0x3ff7, 0x421c, 0x3ff7, - 0x4229, 0x3ff7, 0x4235, 0x3ff6, 0x4242, 0x3ff6, 0x424e, 0x3ff5, - 0x425b, 0x3ff5, 0x4268, 0x3ff4, 0x4274, 0x3ff4, 0x4281, 0x3ff3, - 0x428d, 0x3ff3, 0x429a, 0x3ff2, 0x42a6, 0x3ff2, 0x42b3, 0x3ff1, - 0x42c0, 0x3ff1, 0x42cc, 0x3ff0, 0x42d9, 0x3ff0, 0x42e5, 0x3fef, - 0x42f2, 0x3fef, 0x42fe, 0x3fee, 0x430b, 0x3fed, 0x4317, 0x3fed, - 0x4324, 0x3fec, 0x4330, 0x3fec, 0x433d, 0x3feb, 0x434a, 0x3fea, - 0x4356, 0x3fea, 0x4363, 0x3fe9, 0x436f, 0x3fe8, 0x437c, 0x3fe8, - 0x4388, 0x3fe7, 0x4395, 0x3fe6, 0x43a1, 0x3fe6, 0x43ae, 0x3fe5, - 0x43bb, 0x3fe4, 0x43c7, 0x3fe3, 0x43d4, 0x3fe3, 0x43e0, 0x3fe2, - 0x43ed, 0x3fe1, 0x43f9, 0x3fe0, 0x4406, 0x3fe0, 0x4412, 0x3fdf, - 0x441f, 0x3fde, 0x442b, 0x3fdd, 0x4438, 0x3fdc, 0x4444, 0x3fdc, - 0x4451, 0x3fdb, 0x445e, 0x3fda, 0x446a, 0x3fd9, 0x4477, 0x3fd8, - 0x4483, 0x3fd7, 0x4490, 0x3fd6, 0x449c, 0x3fd5, 0x44a9, 0x3fd5, - 0x44b5, 0x3fd4, 0x44c2, 0x3fd3, 0x44ce, 0x3fd2, 0x44db, 0x3fd1, - 0x44e7, 0x3fd0, 0x44f4, 0x3fcf, 0x4500, 0x3fce, 0x450d, 0x3fcd, - 0x451a, 0x3fcc, 0x4526, 0x3fcb, 0x4533, 0x3fca, 0x453f, 0x3fc9, - 0x454c, 0x3fc8, 0x4558, 0x3fc7, 0x4565, 0x3fc6, 0x4571, 0x3fc5, - 0x457e, 0x3fc4, 0x458a, 0x3fc3, 0x4597, 0x3fc1, 0x45a3, 0x3fc0, - 0x45b0, 0x3fbf, 0x45bc, 0x3fbe, 0x45c9, 0x3fbd, 0x45d5, 0x3fbc, - 0x45e2, 0x3fbb, 0x45ee, 0x3fb9, 0x45fb, 0x3fb8, 0x4607, 0x3fb7, - 0x4614, 0x3fb6, 0x4620, 0x3fb5, 0x462d, 0x3fb4, 0x4639, 0x3fb2, - 0x4646, 0x3fb1, 0x4652, 0x3fb0, 0x465f, 0x3faf, 0x466b, 0x3fad, - 0x4678, 0x3fac, 0x4684, 0x3fab, 0x4691, 0x3faa, 0x469d, 0x3fa8, - 0x46aa, 0x3fa7, 0x46b6, 0x3fa6, 0x46c3, 0x3fa4, 0x46cf, 0x3fa3, - 0x46dc, 0x3fa2, 0x46e8, 0x3fa0, 0x46f5, 0x3f9f, 0x4701, 0x3f9e, - 0x470e, 0x3f9c, 0x471a, 0x3f9b, 0x4727, 0x3f99, 0x4733, 0x3f98, - 0x4740, 0x3f97, 0x474c, 0x3f95, 0x4759, 0x3f94, 0x4765, 0x3f92, - 0x4772, 0x3f91, 0x477e, 0x3f8f, 0x478b, 0x3f8e, 0x4797, 0x3f8c, - 0x47a4, 0x3f8b, 0x47b0, 0x3f89, 0x47bd, 0x3f88, 0x47c9, 0x3f86, - 0x47d6, 0x3f85, 0x47e2, 0x3f83, 0x47ef, 0x3f82, 0x47fb, 0x3f80, - 0x4807, 0x3f7f, 0x4814, 0x3f7d, 0x4820, 0x3f7b, 0x482d, 0x3f7a, - 0x4839, 0x3f78, 0x4846, 0x3f77, 0x4852, 0x3f75, 0x485f, 0x3f73, - 0x486b, 0x3f72, 0x4878, 0x3f70, 0x4884, 0x3f6e, 0x4891, 0x3f6d, - 0x489d, 0x3f6b, 0x48a9, 0x3f69, 0x48b6, 0x3f68, 0x48c2, 0x3f66, - 0x48cf, 0x3f64, 0x48db, 0x3f62, 0x48e8, 0x3f61, 0x48f4, 0x3f5f, - 0x4901, 0x3f5d, 0x490d, 0x3f5b, 0x4919, 0x3f5a, 0x4926, 0x3f58, - 0x4932, 0x3f56, 0x493f, 0x3f54, 0x494b, 0x3f52, 0x4958, 0x3f51, - 0x4964, 0x3f4f, 0x4970, 0x3f4d, 0x497d, 0x3f4b, 0x4989, 0x3f49, - 0x4996, 0x3f47, 0x49a2, 0x3f45, 0x49af, 0x3f43, 0x49bb, 0x3f42, - 0x49c7, 0x3f40, 0x49d4, 0x3f3e, 0x49e0, 0x3f3c, 0x49ed, 0x3f3a, - 0x49f9, 0x3f38, 0x4a06, 0x3f36, 0x4a12, 0x3f34, 0x4a1e, 0x3f32, - 0x4a2b, 0x3f30, 0x4a37, 0x3f2e, 0x4a44, 0x3f2c, 0x4a50, 0x3f2a, - 0x4a5c, 0x3f28, 0x4a69, 0x3f26, 0x4a75, 0x3f24, 0x4a82, 0x3f22, - 0x4a8e, 0x3f20, 0x4a9a, 0x3f1e, 0x4aa7, 0x3f1c, 0x4ab3, 0x3f19, - 0x4ac0, 0x3f17, 0x4acc, 0x3f15, 0x4ad8, 0x3f13, 0x4ae5, 0x3f11, - 0x4af1, 0x3f0f, 0x4afd, 0x3f0d, 0x4b0a, 0x3f0a, 0x4b16, 0x3f08, - 0x4b23, 0x3f06, 0x4b2f, 0x3f04, 0x4b3b, 0x3f02, 0x4b48, 0x3f00, - 0x4b54, 0x3efd, 0x4b60, 0x3efb, 0x4b6d, 0x3ef9, 0x4b79, 0x3ef7, - 0x4b85, 0x3ef4, 0x4b92, 0x3ef2, 0x4b9e, 0x3ef0, 0x4bab, 0x3eed, - 0x4bb7, 0x3eeb, 0x4bc3, 0x3ee9, 0x4bd0, 0x3ee7, 0x4bdc, 0x3ee4, - 0x4be8, 0x3ee2, 0x4bf5, 0x3ee0, 0x4c01, 0x3edd, 0x4c0d, 0x3edb, - 0x4c1a, 0x3ed8, 0x4c26, 0x3ed6, 0x4c32, 0x3ed4, 0x4c3f, 0x3ed1, - 0x4c4b, 0x3ecf, 0x4c57, 0x3ecc, 0x4c64, 0x3eca, 0x4c70, 0x3ec8, - 0x4c7c, 0x3ec5, 0x4c89, 0x3ec3, 0x4c95, 0x3ec0, 0x4ca1, 0x3ebe, - 0x4cae, 0x3ebb, 0x4cba, 0x3eb9, 0x4cc6, 0x3eb6, 0x4cd3, 0x3eb4, - 0x4cdf, 0x3eb1, 0x4ceb, 0x3eaf, 0x4cf8, 0x3eac, 0x4d04, 0x3eaa, - 0x4d10, 0x3ea7, 0x4d1c, 0x3ea5, 0x4d29, 0x3ea2, 0x4d35, 0x3e9f, - 0x4d41, 0x3e9d, 0x4d4e, 0x3e9a, 0x4d5a, 0x3e98, 0x4d66, 0x3e95, - 0x4d72, 0x3e92, 0x4d7f, 0x3e90, 0x4d8b, 0x3e8d, 0x4d97, 0x3e8a, - 0x4da4, 0x3e88, 0x4db0, 0x3e85, 0x4dbc, 0x3e82, 0x4dc8, 0x3e80, - 0x4dd5, 0x3e7d, 0x4de1, 0x3e7a, 0x4ded, 0x3e77, 0x4df9, 0x3e75, - 0x4e06, 0x3e72, 0x4e12, 0x3e6f, 0x4e1e, 0x3e6c, 0x4e2b, 0x3e6a, - 0x4e37, 0x3e67, 0x4e43, 0x3e64, 0x4e4f, 0x3e61, 0x4e5c, 0x3e5e, - 0x4e68, 0x3e5c, 0x4e74, 0x3e59, 0x4e80, 0x3e56, 0x4e8c, 0x3e53, - 0x4e99, 0x3e50, 0x4ea5, 0x3e4d, 0x4eb1, 0x3e4a, 0x4ebd, 0x3e48, - 0x4eca, 0x3e45, 0x4ed6, 0x3e42, 0x4ee2, 0x3e3f, 0x4eee, 0x3e3c, - 0x4efb, 0x3e39, 0x4f07, 0x3e36, 0x4f13, 0x3e33, 0x4f1f, 0x3e30, - 0x4f2b, 0x3e2d, 0x4f38, 0x3e2a, 0x4f44, 0x3e27, 0x4f50, 0x3e24, - 0x4f5c, 0x3e21, 0x4f68, 0x3e1e, 0x4f75, 0x3e1b, 0x4f81, 0x3e18, - 0x4f8d, 0x3e15, 0x4f99, 0x3e12, 0x4fa5, 0x3e0f, 0x4fb2, 0x3e0c, - 0x4fbe, 0x3e09, 0x4fca, 0x3e06, 0x4fd6, 0x3e03, 0x4fe2, 0x3dff, - 0x4fee, 0x3dfc, 0x4ffb, 0x3df9, 0x5007, 0x3df6, 0x5013, 0x3df3, - 0x501f, 0x3df0, 0x502b, 0x3ded, 0x5037, 0x3de9, 0x5044, 0x3de6, - 0x5050, 0x3de3, 0x505c, 0x3de0, 0x5068, 0x3ddd, 0x5074, 0x3dd9, - 0x5080, 0x3dd6, 0x508c, 0x3dd3, 0x5099, 0x3dd0, 0x50a5, 0x3dcc, - 0x50b1, 0x3dc9, 0x50bd, 0x3dc6, 0x50c9, 0x3dc2, 0x50d5, 0x3dbf, - 0x50e1, 0x3dbc, 0x50ed, 0x3db9, 0x50fa, 0x3db5, 0x5106, 0x3db2, - 0x5112, 0x3daf, 0x511e, 0x3dab, 0x512a, 0x3da8, 0x5136, 0x3da4, - 0x5142, 0x3da1, 0x514e, 0x3d9e, 0x515a, 0x3d9a, 0x5167, 0x3d97, - 0x5173, 0x3d93, 0x517f, 0x3d90, 0x518b, 0x3d8d, 0x5197, 0x3d89, - 0x51a3, 0x3d86, 0x51af, 0x3d82, 0x51bb, 0x3d7f, 0x51c7, 0x3d7b, - 0x51d3, 0x3d78, 0x51df, 0x3d74, 0x51eb, 0x3d71, 0x51f7, 0x3d6d, - 0x5204, 0x3d6a, 0x5210, 0x3d66, 0x521c, 0x3d63, 0x5228, 0x3d5f, - 0x5234, 0x3d5b, 0x5240, 0x3d58, 0x524c, 0x3d54, 0x5258, 0x3d51, - 0x5264, 0x3d4d, 0x5270, 0x3d49, 0x527c, 0x3d46, 0x5288, 0x3d42, - 0x5294, 0x3d3f, 0x52a0, 0x3d3b, 0x52ac, 0x3d37, 0x52b8, 0x3d34, - 0x52c4, 0x3d30, 0x52d0, 0x3d2c, 0x52dc, 0x3d28, 0x52e8, 0x3d25, - 0x52f4, 0x3d21, 0x5300, 0x3d1d, 0x530c, 0x3d1a, 0x5318, 0x3d16, - 0x5324, 0x3d12, 0x5330, 0x3d0e, 0x533c, 0x3d0b, 0x5348, 0x3d07, - 0x5354, 0x3d03, 0x5360, 0x3cff, 0x536c, 0x3cfb, 0x5378, 0x3cf8, - 0x5384, 0x3cf4, 0x5390, 0x3cf0, 0x539c, 0x3cec, 0x53a8, 0x3ce8, - 0x53b4, 0x3ce4, 0x53c0, 0x3ce0, 0x53cc, 0x3cdd, 0x53d8, 0x3cd9, - 0x53e4, 0x3cd5, 0x53f0, 0x3cd1, 0x53fb, 0x3ccd, 0x5407, 0x3cc9, - 0x5413, 0x3cc5, 0x541f, 0x3cc1, 0x542b, 0x3cbd, 0x5437, 0x3cb9, - 0x5443, 0x3cb5, 0x544f, 0x3cb1, 0x545b, 0x3cad, 0x5467, 0x3ca9, - 0x5473, 0x3ca5, 0x547f, 0x3ca1, 0x548b, 0x3c9d, 0x5496, 0x3c99, - 0x54a2, 0x3c95, 0x54ae, 0x3c91, 0x54ba, 0x3c8d, 0x54c6, 0x3c89, - 0x54d2, 0x3c85, 0x54de, 0x3c81, 0x54ea, 0x3c7d, 0x54f6, 0x3c79, - 0x5501, 0x3c74, 0x550d, 0x3c70, 0x5519, 0x3c6c, 0x5525, 0x3c68, - 0x5531, 0x3c64, 0x553d, 0x3c60, 0x5549, 0x3c5b, 0x5554, 0x3c57, - 0x5560, 0x3c53, 0x556c, 0x3c4f, 0x5578, 0x3c4b, 0x5584, 0x3c46, - 0x5590, 0x3c42, 0x559b, 0x3c3e, 0x55a7, 0x3c3a, 0x55b3, 0x3c36, - 0x55bf, 0x3c31, 0x55cb, 0x3c2d, 0x55d7, 0x3c29, 0x55e2, 0x3c24, - 0x55ee, 0x3c20, 0x55fa, 0x3c1c, 0x5606, 0x3c17, 0x5612, 0x3c13, - 0x561d, 0x3c0f, 0x5629, 0x3c0a, 0x5635, 0x3c06, 0x5641, 0x3c02, - 0x564c, 0x3bfd, 0x5658, 0x3bf9, 0x5664, 0x3bf5, 0x5670, 0x3bf0, - 0x567c, 0x3bec, 0x5687, 0x3be7, 0x5693, 0x3be3, 0x569f, 0x3bde, - 0x56ab, 0x3bda, 0x56b6, 0x3bd6, 0x56c2, 0x3bd1, 0x56ce, 0x3bcd, - 0x56da, 0x3bc8, 0x56e5, 0x3bc4, 0x56f1, 0x3bbf, 0x56fd, 0x3bbb, - 0x5709, 0x3bb6, 0x5714, 0x3bb2, 0x5720, 0x3bad, 0x572c, 0x3ba9, - 0x5737, 0x3ba4, 0x5743, 0x3b9f, 0x574f, 0x3b9b, 0x575b, 0x3b96, - 0x5766, 0x3b92, 0x5772, 0x3b8d, 0x577e, 0x3b88, 0x5789, 0x3b84, - 0x5795, 0x3b7f, 0x57a1, 0x3b7b, 0x57ac, 0x3b76, 0x57b8, 0x3b71, - 0x57c4, 0x3b6d, 0x57cf, 0x3b68, 0x57db, 0x3b63, 0x57e7, 0x3b5f, - 0x57f2, 0x3b5a, 0x57fe, 0x3b55, 0x580a, 0x3b50, 0x5815, 0x3b4c, - 0x5821, 0x3b47, 0x582d, 0x3b42, 0x5838, 0x3b3e, 0x5844, 0x3b39, - 0x584f, 0x3b34, 0x585b, 0x3b2f, 0x5867, 0x3b2a, 0x5872, 0x3b26, - 0x587e, 0x3b21, 0x5889, 0x3b1c, 0x5895, 0x3b17, 0x58a1, 0x3b12, - 0x58ac, 0x3b0e, 0x58b8, 0x3b09, 0x58c3, 0x3b04, 0x58cf, 0x3aff, - 0x58db, 0x3afa, 0x58e6, 0x3af5, 0x58f2, 0x3af0, 0x58fd, 0x3aeb, - 0x5909, 0x3ae6, 0x5914, 0x3ae2, 0x5920, 0x3add, 0x592c, 0x3ad8, - 0x5937, 0x3ad3, 0x5943, 0x3ace, 0x594e, 0x3ac9, 0x595a, 0x3ac4, - 0x5965, 0x3abf, 0x5971, 0x3aba, 0x597c, 0x3ab5, 0x5988, 0x3ab0, - 0x5993, 0x3aab, 0x599f, 0x3aa6, 0x59aa, 0x3aa1, 0x59b6, 0x3a9c, - 0x59c1, 0x3a97, 0x59cd, 0x3a92, 0x59d8, 0x3a8d, 0x59e4, 0x3a88, - 0x59ef, 0x3a82, 0x59fb, 0x3a7d, 0x5a06, 0x3a78, 0x5a12, 0x3a73, - 0x5a1d, 0x3a6e, 0x5a29, 0x3a69, 0x5a34, 0x3a64, 0x5a40, 0x3a5f, - 0x5a4b, 0x3a59, 0x5a57, 0x3a54, 0x5a62, 0x3a4f, 0x5a6e, 0x3a4a, - 0x5a79, 0x3a45, 0x5a84, 0x3a3f, 0x5a90, 0x3a3a, 0x5a9b, 0x3a35, - 0x5aa7, 0x3a30, 0x5ab2, 0x3a2b, 0x5abe, 0x3a25, 0x5ac9, 0x3a20, - 0x5ad4, 0x3a1b, 0x5ae0, 0x3a16, 0x5aeb, 0x3a10, 0x5af7, 0x3a0b, - 0x5b02, 0x3a06, 0x5b0d, 0x3a00, 0x5b19, 0x39fb, 0x5b24, 0x39f6, - 0x5b30, 0x39f0, 0x5b3b, 0x39eb, 0x5b46, 0x39e6, 0x5b52, 0x39e0, - 0x5b5d, 0x39db, 0x5b68, 0x39d6, 0x5b74, 0x39d0, 0x5b7f, 0x39cb, - 0x5b8a, 0x39c5, 0x5b96, 0x39c0, 0x5ba1, 0x39bb, 0x5bac, 0x39b5, - 0x5bb8, 0x39b0, 0x5bc3, 0x39aa, 0x5bce, 0x39a5, 0x5bda, 0x399f, - 0x5be5, 0x399a, 0x5bf0, 0x3994, 0x5bfc, 0x398f, 0x5c07, 0x3989, - 0x5c12, 0x3984, 0x5c1e, 0x397e, 0x5c29, 0x3979, 0x5c34, 0x3973, - 0x5c3f, 0x396e, 0x5c4b, 0x3968, 0x5c56, 0x3963, 0x5c61, 0x395d, - 0x5c6c, 0x3958, 0x5c78, 0x3952, 0x5c83, 0x394c, 0x5c8e, 0x3947, - 0x5c99, 0x3941, 0x5ca5, 0x393b, 0x5cb0, 0x3936, 0x5cbb, 0x3930, - 0x5cc6, 0x392b, 0x5cd2, 0x3925, 0x5cdd, 0x391f, 0x5ce8, 0x391a, - 0x5cf3, 0x3914, 0x5cff, 0x390e, 0x5d0a, 0x3909, 0x5d15, 0x3903, - 0x5d20, 0x38fd, 0x5d2b, 0x38f7, 0x5d36, 0x38f2, 0x5d42, 0x38ec, - 0x5d4d, 0x38e6, 0x5d58, 0x38e0, 0x5d63, 0x38db, 0x5d6e, 0x38d5, - 0x5d79, 0x38cf, 0x5d85, 0x38c9, 0x5d90, 0x38c3, 0x5d9b, 0x38be, - 0x5da6, 0x38b8, 0x5db1, 0x38b2, 0x5dbc, 0x38ac, 0x5dc7, 0x38a6, - 0x5dd3, 0x38a1, 0x5dde, 0x389b, 0x5de9, 0x3895, 0x5df4, 0x388f, - 0x5dff, 0x3889, 0x5e0a, 0x3883, 0x5e15, 0x387d, 0x5e20, 0x3877, - 0x5e2b, 0x3871, 0x5e36, 0x386b, 0x5e42, 0x3866, 0x5e4d, 0x3860, - 0x5e58, 0x385a, 0x5e63, 0x3854, 0x5e6e, 0x384e, 0x5e79, 0x3848, - 0x5e84, 0x3842, 0x5e8f, 0x383c, 0x5e9a, 0x3836, 0x5ea5, 0x3830, - 0x5eb0, 0x382a, 0x5ebb, 0x3824, 0x5ec6, 0x381e, 0x5ed1, 0x3818, - 0x5edc, 0x3812, 0x5ee7, 0x380b, 0x5ef2, 0x3805, 0x5efd, 0x37ff, - 0x5f08, 0x37f9, 0x5f13, 0x37f3, 0x5f1e, 0x37ed, 0x5f29, 0x37e7, - 0x5f34, 0x37e1, 0x5f3f, 0x37db, 0x5f4a, 0x37d5, 0x5f55, 0x37ce, - 0x5f60, 0x37c8, 0x5f6b, 0x37c2, 0x5f76, 0x37bc, 0x5f81, 0x37b6, - 0x5f8c, 0x37b0, 0x5f97, 0x37a9, 0x5fa2, 0x37a3, 0x5fac, 0x379d, - 0x5fb7, 0x3797, 0x5fc2, 0x3790, 0x5fcd, 0x378a, 0x5fd8, 0x3784, - 0x5fe3, 0x377e, 0x5fee, 0x3777, 0x5ff9, 0x3771, 0x6004, 0x376b, - 0x600f, 0x3765, 0x6019, 0x375e, 0x6024, 0x3758, 0x602f, 0x3752, - 0x603a, 0x374b, 0x6045, 0x3745, 0x6050, 0x373f, 0x605b, 0x3738, - 0x6065, 0x3732, 0x6070, 0x372c, 0x607b, 0x3725, 0x6086, 0x371f, - 0x6091, 0x3718, 0x609b, 0x3712, 0x60a6, 0x370c, 0x60b1, 0x3705, - 0x60bc, 0x36ff, 0x60c7, 0x36f8, 0x60d1, 0x36f2, 0x60dc, 0x36eb, - 0x60e7, 0x36e5, 0x60f2, 0x36df, 0x60fd, 0x36d8, 0x6107, 0x36d2, - 0x6112, 0x36cb, 0x611d, 0x36c5, 0x6128, 0x36be, 0x6132, 0x36b8, - 0x613d, 0x36b1, 0x6148, 0x36ab, 0x6153, 0x36a4, 0x615d, 0x369d, - 0x6168, 0x3697, 0x6173, 0x3690, 0x617d, 0x368a, 0x6188, 0x3683, - 0x6193, 0x367d, 0x619e, 0x3676, 0x61a8, 0x366f, 0x61b3, 0x3669, - 0x61be, 0x3662, 0x61c8, 0x365c, 0x61d3, 0x3655, 0x61de, 0x364e, - 0x61e8, 0x3648, 0x61f3, 0x3641, 0x61fe, 0x363a, 0x6208, 0x3634, - 0x6213, 0x362d, 0x621e, 0x3626, 0x6228, 0x3620, 0x6233, 0x3619, - 0x623d, 0x3612, 0x6248, 0x360b, 0x6253, 0x3605, 0x625d, 0x35fe, - 0x6268, 0x35f7, 0x6272, 0x35f0, 0x627d, 0x35ea, 0x6288, 0x35e3, - 0x6292, 0x35dc, 0x629d, 0x35d5, 0x62a7, 0x35ce, 0x62b2, 0x35c8, - 0x62bc, 0x35c1, 0x62c7, 0x35ba, 0x62d2, 0x35b3, 0x62dc, 0x35ac, - 0x62e7, 0x35a5, 0x62f1, 0x359f, 0x62fc, 0x3598, 0x6306, 0x3591, - 0x6311, 0x358a, 0x631b, 0x3583, 0x6326, 0x357c, 0x6330, 0x3575, - 0x633b, 0x356e, 0x6345, 0x3567, 0x6350, 0x3561, 0x635a, 0x355a, - 0x6365, 0x3553, 0x636f, 0x354c, 0x637a, 0x3545, 0x6384, 0x353e, - 0x638e, 0x3537, 0x6399, 0x3530, 0x63a3, 0x3529, 0x63ae, 0x3522, - 0x63b8, 0x351b, 0x63c3, 0x3514, 0x63cd, 0x350d, 0x63d7, 0x3506, - 0x63e2, 0x34ff, 0x63ec, 0x34f8, 0x63f7, 0x34f1, 0x6401, 0x34ea, - 0x640b, 0x34e2, 0x6416, 0x34db, 0x6420, 0x34d4, 0x642b, 0x34cd, - 0x6435, 0x34c6, 0x643f, 0x34bf, 0x644a, 0x34b8, 0x6454, 0x34b1, - 0x645e, 0x34aa, 0x6469, 0x34a2, 0x6473, 0x349b, 0x647d, 0x3494, - 0x6488, 0x348d, 0x6492, 0x3486, 0x649c, 0x347f, 0x64a7, 0x3477, - 0x64b1, 0x3470, 0x64bb, 0x3469, 0x64c5, 0x3462, 0x64d0, 0x345b, - 0x64da, 0x3453, 0x64e4, 0x344c, 0x64ef, 0x3445, 0x64f9, 0x343e, - 0x6503, 0x3436, 0x650d, 0x342f, 0x6518, 0x3428, 0x6522, 0x3420, - 0x652c, 0x3419, 0x6536, 0x3412, 0x6541, 0x340b, 0x654b, 0x3403, - 0x6555, 0x33fc, 0x655f, 0x33f5, 0x6569, 0x33ed, 0x6574, 0x33e6, - 0x657e, 0x33df, 0x6588, 0x33d7, 0x6592, 0x33d0, 0x659c, 0x33c8, - 0x65a6, 0x33c1, 0x65b1, 0x33ba, 0x65bb, 0x33b2, 0x65c5, 0x33ab, - 0x65cf, 0x33a3, 0x65d9, 0x339c, 0x65e3, 0x3395, 0x65ed, 0x338d, - 0x65f8, 0x3386, 0x6602, 0x337e, 0x660c, 0x3377, 0x6616, 0x336f, - 0x6620, 0x3368, 0x662a, 0x3360, 0x6634, 0x3359, 0x663e, 0x3351, - 0x6648, 0x334a, 0x6652, 0x3342, 0x665c, 0x333b, 0x6666, 0x3333, - 0x6671, 0x332c, 0x667b, 0x3324, 0x6685, 0x331d, 0x668f, 0x3315, - 0x6699, 0x330d, 0x66a3, 0x3306, 0x66ad, 0x32fe, 0x66b7, 0x32f7, - 0x66c1, 0x32ef, 0x66cb, 0x32e7, 0x66d5, 0x32e0, 0x66df, 0x32d8, - 0x66e9, 0x32d0, 0x66f3, 0x32c9, 0x66fd, 0x32c1, 0x6707, 0x32ba, - 0x6711, 0x32b2, 0x671a, 0x32aa, 0x6724, 0x32a3, 0x672e, 0x329b, - 0x6738, 0x3293, 0x6742, 0x328b, 0x674c, 0x3284, 0x6756, 0x327c, - 0x6760, 0x3274, 0x676a, 0x326d, 0x6774, 0x3265, 0x677e, 0x325d, - 0x6788, 0x3255, 0x6791, 0x324e, 0x679b, 0x3246, 0x67a5, 0x323e, - 0x67af, 0x3236, 0x67b9, 0x322e, 0x67c3, 0x3227, 0x67cd, 0x321f, - 0x67d6, 0x3217, 0x67e0, 0x320f, 0x67ea, 0x3207, 0x67f4, 0x31ff, - 0x67fe, 0x31f8, 0x6808, 0x31f0, 0x6811, 0x31e8, 0x681b, 0x31e0, - 0x6825, 0x31d8, 0x682f, 0x31d0, 0x6838, 0x31c8, 0x6842, 0x31c0, - 0x684c, 0x31b9, 0x6856, 0x31b1, 0x6860, 0x31a9, 0x6869, 0x31a1, - 0x6873, 0x3199, 0x687d, 0x3191, 0x6886, 0x3189, 0x6890, 0x3181, - 0x689a, 0x3179, 0x68a4, 0x3171, 0x68ad, 0x3169, 0x68b7, 0x3161, - 0x68c1, 0x3159, 0x68ca, 0x3151, 0x68d4, 0x3149, 0x68de, 0x3141, - 0x68e7, 0x3139, 0x68f1, 0x3131, 0x68fb, 0x3129, 0x6904, 0x3121, - 0x690e, 0x3119, 0x6918, 0x3111, 0x6921, 0x3109, 0x692b, 0x3101, - 0x6935, 0x30f9, 0x693e, 0x30f0, 0x6948, 0x30e8, 0x6951, 0x30e0, - 0x695b, 0x30d8, 0x6965, 0x30d0, 0x696e, 0x30c8, 0x6978, 0x30c0, - 0x6981, 0x30b8, 0x698b, 0x30af, 0x6994, 0x30a7, 0x699e, 0x309f, - 0x69a7, 0x3097, 0x69b1, 0x308f, 0x69bb, 0x3087, 0x69c4, 0x307e, - 0x69ce, 0x3076, 0x69d7, 0x306e, 0x69e1, 0x3066, 0x69ea, 0x305d, - 0x69f4, 0x3055, 0x69fd, 0x304d, 0x6a07, 0x3045, 0x6a10, 0x303c, - 0x6a1a, 0x3034, 0x6a23, 0x302c, 0x6a2c, 0x3024, 0x6a36, 0x301b, - 0x6a3f, 0x3013, 0x6a49, 0x300b, 0x6a52, 0x3002, 0x6a5c, 0x2ffa, - 0x6a65, 0x2ff2, 0x6a6e, 0x2fea, 0x6a78, 0x2fe1, 0x6a81, 0x2fd9, - 0x6a8b, 0x2fd0, 0x6a94, 0x2fc8, 0x6a9d, 0x2fc0, 0x6aa7, 0x2fb7, - 0x6ab0, 0x2faf, 0x6ab9, 0x2fa7, 0x6ac3, 0x2f9e, 0x6acc, 0x2f96, - 0x6ad6, 0x2f8d, 0x6adf, 0x2f85, 0x6ae8, 0x2f7d, 0x6af2, 0x2f74, - 0x6afb, 0x2f6c, 0x6b04, 0x2f63, 0x6b0d, 0x2f5b, 0x6b17, 0x2f52, - 0x6b20, 0x2f4a, 0x6b29, 0x2f41, 0x6b33, 0x2f39, 0x6b3c, 0x2f30, - 0x6b45, 0x2f28, 0x6b4e, 0x2f20, 0x6b58, 0x2f17, 0x6b61, 0x2f0e, - 0x6b6a, 0x2f06, 0x6b73, 0x2efd, 0x6b7d, 0x2ef5, 0x6b86, 0x2eec, - 0x6b8f, 0x2ee4, 0x6b98, 0x2edb, 0x6ba1, 0x2ed3, 0x6bab, 0x2eca, - 0x6bb4, 0x2ec2, 0x6bbd, 0x2eb9, 0x6bc6, 0x2eb0, 0x6bcf, 0x2ea8, - 0x6bd8, 0x2e9f, 0x6be2, 0x2e97, 0x6beb, 0x2e8e, 0x6bf4, 0x2e85, - 0x6bfd, 0x2e7d, 0x6c06, 0x2e74, 0x6c0f, 0x2e6b, 0x6c18, 0x2e63, - 0x6c21, 0x2e5a, 0x6c2b, 0x2e51, 0x6c34, 0x2e49, 0x6c3d, 0x2e40, - 0x6c46, 0x2e37, 0x6c4f, 0x2e2f, 0x6c58, 0x2e26, 0x6c61, 0x2e1d, - 0x6c6a, 0x2e15, 0x6c73, 0x2e0c, 0x6c7c, 0x2e03, 0x6c85, 0x2dfa, - 0x6c8e, 0x2df2, 0x6c97, 0x2de9, 0x6ca0, 0x2de0, 0x6ca9, 0x2dd7, - 0x6cb2, 0x2dcf, 0x6cbb, 0x2dc6, 0x6cc4, 0x2dbd, 0x6ccd, 0x2db4, - 0x6cd6, 0x2dab, 0x6cdf, 0x2da3, 0x6ce8, 0x2d9a, 0x6cf1, 0x2d91, - 0x6cfa, 0x2d88, 0x6d03, 0x2d7f, 0x6d0c, 0x2d76, 0x6d15, 0x2d6e, - 0x6d1e, 0x2d65, 0x6d27, 0x2d5c, 0x6d2f, 0x2d53, 0x6d38, 0x2d4a, - 0x6d41, 0x2d41, 0x6d4a, 0x2d38, 0x6d53, 0x2d2f, 0x6d5c, 0x2d27, - 0x6d65, 0x2d1e, 0x6d6e, 0x2d15, 0x6d76, 0x2d0c, 0x6d7f, 0x2d03, - 0x6d88, 0x2cfa, 0x6d91, 0x2cf1, 0x6d9a, 0x2ce8, 0x6da3, 0x2cdf, - 0x6dab, 0x2cd6, 0x6db4, 0x2ccd, 0x6dbd, 0x2cc4, 0x6dc6, 0x2cbb, - 0x6dcf, 0x2cb2, 0x6dd7, 0x2ca9, 0x6de0, 0x2ca0, 0x6de9, 0x2c97, - 0x6df2, 0x2c8e, 0x6dfa, 0x2c85, 0x6e03, 0x2c7c, 0x6e0c, 0x2c73, - 0x6e15, 0x2c6a, 0x6e1d, 0x2c61, 0x6e26, 0x2c58, 0x6e2f, 0x2c4f, - 0x6e37, 0x2c46, 0x6e40, 0x2c3d, 0x6e49, 0x2c34, 0x6e51, 0x2c2b, - 0x6e5a, 0x2c21, 0x6e63, 0x2c18, 0x6e6b, 0x2c0f, 0x6e74, 0x2c06, - 0x6e7d, 0x2bfd, 0x6e85, 0x2bf4, 0x6e8e, 0x2beb, 0x6e97, 0x2be2, - 0x6e9f, 0x2bd8, 0x6ea8, 0x2bcf, 0x6eb0, 0x2bc6, 0x6eb9, 0x2bbd, - 0x6ec2, 0x2bb4, 0x6eca, 0x2bab, 0x6ed3, 0x2ba1, 0x6edb, 0x2b98, - 0x6ee4, 0x2b8f, 0x6eec, 0x2b86, 0x6ef5, 0x2b7d, 0x6efd, 0x2b73, - 0x6f06, 0x2b6a, 0x6f0e, 0x2b61, 0x6f17, 0x2b58, 0x6f20, 0x2b4e, - 0x6f28, 0x2b45, 0x6f30, 0x2b3c, 0x6f39, 0x2b33, 0x6f41, 0x2b29, - 0x6f4a, 0x2b20, 0x6f52, 0x2b17, 0x6f5b, 0x2b0d, 0x6f63, 0x2b04, - 0x6f6c, 0x2afb, 0x6f74, 0x2af2, 0x6f7d, 0x2ae8, 0x6f85, 0x2adf, - 0x6f8d, 0x2ad6, 0x6f96, 0x2acc, 0x6f9e, 0x2ac3, 0x6fa7, 0x2ab9, - 0x6faf, 0x2ab0, 0x6fb7, 0x2aa7, 0x6fc0, 0x2a9d, 0x6fc8, 0x2a94, - 0x6fd0, 0x2a8b, 0x6fd9, 0x2a81, 0x6fe1, 0x2a78, 0x6fea, 0x2a6e, - 0x6ff2, 0x2a65, 0x6ffa, 0x2a5c, 0x7002, 0x2a52, 0x700b, 0x2a49, - 0x7013, 0x2a3f, 0x701b, 0x2a36, 0x7024, 0x2a2c, 0x702c, 0x2a23, - 0x7034, 0x2a1a, 0x703c, 0x2a10, 0x7045, 0x2a07, 0x704d, 0x29fd, - 0x7055, 0x29f4, 0x705d, 0x29ea, 0x7066, 0x29e1, 0x706e, 0x29d7, - 0x7076, 0x29ce, 0x707e, 0x29c4, 0x7087, 0x29bb, 0x708f, 0x29b1, - 0x7097, 0x29a7, 0x709f, 0x299e, 0x70a7, 0x2994, 0x70af, 0x298b, - 0x70b8, 0x2981, 0x70c0, 0x2978, 0x70c8, 0x296e, 0x70d0, 0x2965, - 0x70d8, 0x295b, 0x70e0, 0x2951, 0x70e8, 0x2948, 0x70f0, 0x293e, - 0x70f9, 0x2935, 0x7101, 0x292b, 0x7109, 0x2921, 0x7111, 0x2918, - 0x7119, 0x290e, 0x7121, 0x2904, 0x7129, 0x28fb, 0x7131, 0x28f1, - 0x7139, 0x28e7, 0x7141, 0x28de, 0x7149, 0x28d4, 0x7151, 0x28ca, - 0x7159, 0x28c1, 0x7161, 0x28b7, 0x7169, 0x28ad, 0x7171, 0x28a4, - 0x7179, 0x289a, 0x7181, 0x2890, 0x7189, 0x2886, 0x7191, 0x287d, - 0x7199, 0x2873, 0x71a1, 0x2869, 0x71a9, 0x2860, 0x71b1, 0x2856, - 0x71b9, 0x284c, 0x71c0, 0x2842, 0x71c8, 0x2838, 0x71d0, 0x282f, - 0x71d8, 0x2825, 0x71e0, 0x281b, 0x71e8, 0x2811, 0x71f0, 0x2808, - 0x71f8, 0x27fe, 0x71ff, 0x27f4, 0x7207, 0x27ea, 0x720f, 0x27e0, - 0x7217, 0x27d6, 0x721f, 0x27cd, 0x7227, 0x27c3, 0x722e, 0x27b9, - 0x7236, 0x27af, 0x723e, 0x27a5, 0x7246, 0x279b, 0x724e, 0x2791, - 0x7255, 0x2788, 0x725d, 0x277e, 0x7265, 0x2774, 0x726d, 0x276a, - 0x7274, 0x2760, 0x727c, 0x2756, 0x7284, 0x274c, 0x728b, 0x2742, - 0x7293, 0x2738, 0x729b, 0x272e, 0x72a3, 0x2724, 0x72aa, 0x271a, - 0x72b2, 0x2711, 0x72ba, 0x2707, 0x72c1, 0x26fd, 0x72c9, 0x26f3, - 0x72d0, 0x26e9, 0x72d8, 0x26df, 0x72e0, 0x26d5, 0x72e7, 0x26cb, - 0x72ef, 0x26c1, 0x72f7, 0x26b7, 0x72fe, 0x26ad, 0x7306, 0x26a3, - 0x730d, 0x2699, 0x7315, 0x268f, 0x731d, 0x2685, 0x7324, 0x267b, - 0x732c, 0x2671, 0x7333, 0x2666, 0x733b, 0x265c, 0x7342, 0x2652, - 0x734a, 0x2648, 0x7351, 0x263e, 0x7359, 0x2634, 0x7360, 0x262a, - 0x7368, 0x2620, 0x736f, 0x2616, 0x7377, 0x260c, 0x737e, 0x2602, - 0x7386, 0x25f8, 0x738d, 0x25ed, 0x7395, 0x25e3, 0x739c, 0x25d9, - 0x73a3, 0x25cf, 0x73ab, 0x25c5, 0x73b2, 0x25bb, 0x73ba, 0x25b1, - 0x73c1, 0x25a6, 0x73c8, 0x259c, 0x73d0, 0x2592, 0x73d7, 0x2588, - 0x73df, 0x257e, 0x73e6, 0x2574, 0x73ed, 0x2569, 0x73f5, 0x255f, - 0x73fc, 0x2555, 0x7403, 0x254b, 0x740b, 0x2541, 0x7412, 0x2536, - 0x7419, 0x252c, 0x7420, 0x2522, 0x7428, 0x2518, 0x742f, 0x250d, - 0x7436, 0x2503, 0x743e, 0x24f9, 0x7445, 0x24ef, 0x744c, 0x24e4, - 0x7453, 0x24da, 0x745b, 0x24d0, 0x7462, 0x24c5, 0x7469, 0x24bb, - 0x7470, 0x24b1, 0x7477, 0x24a7, 0x747f, 0x249c, 0x7486, 0x2492, - 0x748d, 0x2488, 0x7494, 0x247d, 0x749b, 0x2473, 0x74a2, 0x2469, - 0x74aa, 0x245e, 0x74b1, 0x2454, 0x74b8, 0x244a, 0x74bf, 0x243f, - 0x74c6, 0x2435, 0x74cd, 0x242b, 0x74d4, 0x2420, 0x74db, 0x2416, - 0x74e2, 0x240b, 0x74ea, 0x2401, 0x74f1, 0x23f7, 0x74f8, 0x23ec, - 0x74ff, 0x23e2, 0x7506, 0x23d7, 0x750d, 0x23cd, 0x7514, 0x23c3, - 0x751b, 0x23b8, 0x7522, 0x23ae, 0x7529, 0x23a3, 0x7530, 0x2399, - 0x7537, 0x238e, 0x753e, 0x2384, 0x7545, 0x237a, 0x754c, 0x236f, - 0x7553, 0x2365, 0x755a, 0x235a, 0x7561, 0x2350, 0x7567, 0x2345, - 0x756e, 0x233b, 0x7575, 0x2330, 0x757c, 0x2326, 0x7583, 0x231b, - 0x758a, 0x2311, 0x7591, 0x2306, 0x7598, 0x22fc, 0x759f, 0x22f1, - 0x75a5, 0x22e7, 0x75ac, 0x22dc, 0x75b3, 0x22d2, 0x75ba, 0x22c7, - 0x75c1, 0x22bc, 0x75c8, 0x22b2, 0x75ce, 0x22a7, 0x75d5, 0x229d, - 0x75dc, 0x2292, 0x75e3, 0x2288, 0x75ea, 0x227d, 0x75f0, 0x2272, - 0x75f7, 0x2268, 0x75fe, 0x225d, 0x7605, 0x2253, 0x760b, 0x2248, - 0x7612, 0x223d, 0x7619, 0x2233, 0x7620, 0x2228, 0x7626, 0x221e, - 0x762d, 0x2213, 0x7634, 0x2208, 0x763a, 0x21fe, 0x7641, 0x21f3, - 0x7648, 0x21e8, 0x764e, 0x21de, 0x7655, 0x21d3, 0x765c, 0x21c8, - 0x7662, 0x21be, 0x7669, 0x21b3, 0x766f, 0x21a8, 0x7676, 0x219e, - 0x767d, 0x2193, 0x7683, 0x2188, 0x768a, 0x217d, 0x7690, 0x2173, - 0x7697, 0x2168, 0x769d, 0x215d, 0x76a4, 0x2153, 0x76ab, 0x2148, - 0x76b1, 0x213d, 0x76b8, 0x2132, 0x76be, 0x2128, 0x76c5, 0x211d, - 0x76cb, 0x2112, 0x76d2, 0x2107, 0x76d8, 0x20fd, 0x76df, 0x20f2, - 0x76e5, 0x20e7, 0x76eb, 0x20dc, 0x76f2, 0x20d1, 0x76f8, 0x20c7, - 0x76ff, 0x20bc, 0x7705, 0x20b1, 0x770c, 0x20a6, 0x7712, 0x209b, - 0x7718, 0x2091, 0x771f, 0x2086, 0x7725, 0x207b, 0x772c, 0x2070, - 0x7732, 0x2065, 0x7738, 0x205b, 0x773f, 0x2050, 0x7745, 0x2045, - 0x774b, 0x203a, 0x7752, 0x202f, 0x7758, 0x2024, 0x775e, 0x2019, - 0x7765, 0x200f, 0x776b, 0x2004, 0x7771, 0x1ff9, 0x7777, 0x1fee, - 0x777e, 0x1fe3, 0x7784, 0x1fd8, 0x778a, 0x1fcd, 0x7790, 0x1fc2, - 0x7797, 0x1fb7, 0x779d, 0x1fac, 0x77a3, 0x1fa2, 0x77a9, 0x1f97, - 0x77b0, 0x1f8c, 0x77b6, 0x1f81, 0x77bc, 0x1f76, 0x77c2, 0x1f6b, - 0x77c8, 0x1f60, 0x77ce, 0x1f55, 0x77d5, 0x1f4a, 0x77db, 0x1f3f, - 0x77e1, 0x1f34, 0x77e7, 0x1f29, 0x77ed, 0x1f1e, 0x77f3, 0x1f13, - 0x77f9, 0x1f08, 0x77ff, 0x1efd, 0x7805, 0x1ef2, 0x780b, 0x1ee7, - 0x7812, 0x1edc, 0x7818, 0x1ed1, 0x781e, 0x1ec6, 0x7824, 0x1ebb, - 0x782a, 0x1eb0, 0x7830, 0x1ea5, 0x7836, 0x1e9a, 0x783c, 0x1e8f, - 0x7842, 0x1e84, 0x7848, 0x1e79, 0x784e, 0x1e6e, 0x7854, 0x1e63, - 0x785a, 0x1e58, 0x7860, 0x1e4d, 0x7866, 0x1e42, 0x786b, 0x1e36, - 0x7871, 0x1e2b, 0x7877, 0x1e20, 0x787d, 0x1e15, 0x7883, 0x1e0a, - 0x7889, 0x1dff, 0x788f, 0x1df4, 0x7895, 0x1de9, 0x789b, 0x1dde, - 0x78a1, 0x1dd3, 0x78a6, 0x1dc7, 0x78ac, 0x1dbc, 0x78b2, 0x1db1, - 0x78b8, 0x1da6, 0x78be, 0x1d9b, 0x78c3, 0x1d90, 0x78c9, 0x1d85, - 0x78cf, 0x1d79, 0x78d5, 0x1d6e, 0x78db, 0x1d63, 0x78e0, 0x1d58, - 0x78e6, 0x1d4d, 0x78ec, 0x1d42, 0x78f2, 0x1d36, 0x78f7, 0x1d2b, - 0x78fd, 0x1d20, 0x7903, 0x1d15, 0x7909, 0x1d0a, 0x790e, 0x1cff, - 0x7914, 0x1cf3, 0x791a, 0x1ce8, 0x791f, 0x1cdd, 0x7925, 0x1cd2, - 0x792b, 0x1cc6, 0x7930, 0x1cbb, 0x7936, 0x1cb0, 0x793b, 0x1ca5, - 0x7941, 0x1c99, 0x7947, 0x1c8e, 0x794c, 0x1c83, 0x7952, 0x1c78, - 0x7958, 0x1c6c, 0x795d, 0x1c61, 0x7963, 0x1c56, 0x7968, 0x1c4b, - 0x796e, 0x1c3f, 0x7973, 0x1c34, 0x7979, 0x1c29, 0x797e, 0x1c1e, - 0x7984, 0x1c12, 0x7989, 0x1c07, 0x798f, 0x1bfc, 0x7994, 0x1bf0, - 0x799a, 0x1be5, 0x799f, 0x1bda, 0x79a5, 0x1bce, 0x79aa, 0x1bc3, - 0x79b0, 0x1bb8, 0x79b5, 0x1bac, 0x79bb, 0x1ba1, 0x79c0, 0x1b96, - 0x79c5, 0x1b8a, 0x79cb, 0x1b7f, 0x79d0, 0x1b74, 0x79d6, 0x1b68, - 0x79db, 0x1b5d, 0x79e0, 0x1b52, 0x79e6, 0x1b46, 0x79eb, 0x1b3b, - 0x79f0, 0x1b30, 0x79f6, 0x1b24, 0x79fb, 0x1b19, 0x7a00, 0x1b0d, - 0x7a06, 0x1b02, 0x7a0b, 0x1af7, 0x7a10, 0x1aeb, 0x7a16, 0x1ae0, - 0x7a1b, 0x1ad4, 0x7a20, 0x1ac9, 0x7a25, 0x1abe, 0x7a2b, 0x1ab2, - 0x7a30, 0x1aa7, 0x7a35, 0x1a9b, 0x7a3a, 0x1a90, 0x7a3f, 0x1a84, - 0x7a45, 0x1a79, 0x7a4a, 0x1a6e, 0x7a4f, 0x1a62, 0x7a54, 0x1a57, - 0x7a59, 0x1a4b, 0x7a5f, 0x1a40, 0x7a64, 0x1a34, 0x7a69, 0x1a29, - 0x7a6e, 0x1a1d, 0x7a73, 0x1a12, 0x7a78, 0x1a06, 0x7a7d, 0x19fb, - 0x7a82, 0x19ef, 0x7a88, 0x19e4, 0x7a8d, 0x19d8, 0x7a92, 0x19cd, - 0x7a97, 0x19c1, 0x7a9c, 0x19b6, 0x7aa1, 0x19aa, 0x7aa6, 0x199f, - 0x7aab, 0x1993, 0x7ab0, 0x1988, 0x7ab5, 0x197c, 0x7aba, 0x1971, - 0x7abf, 0x1965, 0x7ac4, 0x195a, 0x7ac9, 0x194e, 0x7ace, 0x1943, - 0x7ad3, 0x1937, 0x7ad8, 0x192c, 0x7add, 0x1920, 0x7ae2, 0x1914, - 0x7ae6, 0x1909, 0x7aeb, 0x18fd, 0x7af0, 0x18f2, 0x7af5, 0x18e6, - 0x7afa, 0x18db, 0x7aff, 0x18cf, 0x7b04, 0x18c3, 0x7b09, 0x18b8, - 0x7b0e, 0x18ac, 0x7b12, 0x18a1, 0x7b17, 0x1895, 0x7b1c, 0x1889, - 0x7b21, 0x187e, 0x7b26, 0x1872, 0x7b2a, 0x1867, 0x7b2f, 0x185b, - 0x7b34, 0x184f, 0x7b39, 0x1844, 0x7b3e, 0x1838, 0x7b42, 0x182d, - 0x7b47, 0x1821, 0x7b4c, 0x1815, 0x7b50, 0x180a, 0x7b55, 0x17fe, - 0x7b5a, 0x17f2, 0x7b5f, 0x17e7, 0x7b63, 0x17db, 0x7b68, 0x17cf, - 0x7b6d, 0x17c4, 0x7b71, 0x17b8, 0x7b76, 0x17ac, 0x7b7b, 0x17a1, - 0x7b7f, 0x1795, 0x7b84, 0x1789, 0x7b88, 0x177e, 0x7b8d, 0x1772, - 0x7b92, 0x1766, 0x7b96, 0x175b, 0x7b9b, 0x174f, 0x7b9f, 0x1743, - 0x7ba4, 0x1737, 0x7ba9, 0x172c, 0x7bad, 0x1720, 0x7bb2, 0x1714, - 0x7bb6, 0x1709, 0x7bbb, 0x16fd, 0x7bbf, 0x16f1, 0x7bc4, 0x16e5, - 0x7bc8, 0x16da, 0x7bcd, 0x16ce, 0x7bd1, 0x16c2, 0x7bd6, 0x16b6, - 0x7bda, 0x16ab, 0x7bde, 0x169f, 0x7be3, 0x1693, 0x7be7, 0x1687, - 0x7bec, 0x167c, 0x7bf0, 0x1670, 0x7bf5, 0x1664, 0x7bf9, 0x1658, - 0x7bfd, 0x164c, 0x7c02, 0x1641, 0x7c06, 0x1635, 0x7c0a, 0x1629, - 0x7c0f, 0x161d, 0x7c13, 0x1612, 0x7c17, 0x1606, 0x7c1c, 0x15fa, - 0x7c20, 0x15ee, 0x7c24, 0x15e2, 0x7c29, 0x15d7, 0x7c2d, 0x15cb, - 0x7c31, 0x15bf, 0x7c36, 0x15b3, 0x7c3a, 0x15a7, 0x7c3e, 0x159b, - 0x7c42, 0x1590, 0x7c46, 0x1584, 0x7c4b, 0x1578, 0x7c4f, 0x156c, - 0x7c53, 0x1560, 0x7c57, 0x1554, 0x7c5b, 0x1549, 0x7c60, 0x153d, - 0x7c64, 0x1531, 0x7c68, 0x1525, 0x7c6c, 0x1519, 0x7c70, 0x150d, - 0x7c74, 0x1501, 0x7c79, 0x14f6, 0x7c7d, 0x14ea, 0x7c81, 0x14de, - 0x7c85, 0x14d2, 0x7c89, 0x14c6, 0x7c8d, 0x14ba, 0x7c91, 0x14ae, - 0x7c95, 0x14a2, 0x7c99, 0x1496, 0x7c9d, 0x148b, 0x7ca1, 0x147f, - 0x7ca5, 0x1473, 0x7ca9, 0x1467, 0x7cad, 0x145b, 0x7cb1, 0x144f, - 0x7cb5, 0x1443, 0x7cb9, 0x1437, 0x7cbd, 0x142b, 0x7cc1, 0x141f, - 0x7cc5, 0x1413, 0x7cc9, 0x1407, 0x7ccd, 0x13fb, 0x7cd1, 0x13f0, - 0x7cd5, 0x13e4, 0x7cd9, 0x13d8, 0x7cdd, 0x13cc, 0x7ce0, 0x13c0, - 0x7ce4, 0x13b4, 0x7ce8, 0x13a8, 0x7cec, 0x139c, 0x7cf0, 0x1390, - 0x7cf4, 0x1384, 0x7cf8, 0x1378, 0x7cfb, 0x136c, 0x7cff, 0x1360, - 0x7d03, 0x1354, 0x7d07, 0x1348, 0x7d0b, 0x133c, 0x7d0e, 0x1330, - 0x7d12, 0x1324, 0x7d16, 0x1318, 0x7d1a, 0x130c, 0x7d1d, 0x1300, - 0x7d21, 0x12f4, 0x7d25, 0x12e8, 0x7d28, 0x12dc, 0x7d2c, 0x12d0, - 0x7d30, 0x12c4, 0x7d34, 0x12b8, 0x7d37, 0x12ac, 0x7d3b, 0x12a0, - 0x7d3f, 0x1294, 0x7d42, 0x1288, 0x7d46, 0x127c, 0x7d49, 0x1270, - 0x7d4d, 0x1264, 0x7d51, 0x1258, 0x7d54, 0x124c, 0x7d58, 0x1240, - 0x7d5b, 0x1234, 0x7d5f, 0x1228, 0x7d63, 0x121c, 0x7d66, 0x1210, - 0x7d6a, 0x1204, 0x7d6d, 0x11f7, 0x7d71, 0x11eb, 0x7d74, 0x11df, - 0x7d78, 0x11d3, 0x7d7b, 0x11c7, 0x7d7f, 0x11bb, 0x7d82, 0x11af, - 0x7d86, 0x11a3, 0x7d89, 0x1197, 0x7d8d, 0x118b, 0x7d90, 0x117f, - 0x7d93, 0x1173, 0x7d97, 0x1167, 0x7d9a, 0x115a, 0x7d9e, 0x114e, - 0x7da1, 0x1142, 0x7da4, 0x1136, 0x7da8, 0x112a, 0x7dab, 0x111e, - 0x7daf, 0x1112, 0x7db2, 0x1106, 0x7db5, 0x10fa, 0x7db9, 0x10ed, - 0x7dbc, 0x10e1, 0x7dbf, 0x10d5, 0x7dc2, 0x10c9, 0x7dc6, 0x10bd, - 0x7dc9, 0x10b1, 0x7dcc, 0x10a5, 0x7dd0, 0x1099, 0x7dd3, 0x108c, - 0x7dd6, 0x1080, 0x7dd9, 0x1074, 0x7ddd, 0x1068, 0x7de0, 0x105c, - 0x7de3, 0x1050, 0x7de6, 0x1044, 0x7de9, 0x1037, 0x7ded, 0x102b, - 0x7df0, 0x101f, 0x7df3, 0x1013, 0x7df6, 0x1007, 0x7df9, 0xffb, - 0x7dfc, 0xfee, 0x7dff, 0xfe2, 0x7e03, 0xfd6, 0x7e06, 0xfca, - 0x7e09, 0xfbe, 0x7e0c, 0xfb2, 0x7e0f, 0xfa5, 0x7e12, 0xf99, - 0x7e15, 0xf8d, 0x7e18, 0xf81, 0x7e1b, 0xf75, 0x7e1e, 0xf68, - 0x7e21, 0xf5c, 0x7e24, 0xf50, 0x7e27, 0xf44, 0x7e2a, 0xf38, - 0x7e2d, 0xf2b, 0x7e30, 0xf1f, 0x7e33, 0xf13, 0x7e36, 0xf07, - 0x7e39, 0xefb, 0x7e3c, 0xeee, 0x7e3f, 0xee2, 0x7e42, 0xed6, - 0x7e45, 0xeca, 0x7e48, 0xebd, 0x7e4a, 0xeb1, 0x7e4d, 0xea5, - 0x7e50, 0xe99, 0x7e53, 0xe8c, 0x7e56, 0xe80, 0x7e59, 0xe74, - 0x7e5c, 0xe68, 0x7e5e, 0xe5c, 0x7e61, 0xe4f, 0x7e64, 0xe43, - 0x7e67, 0xe37, 0x7e6a, 0xe2b, 0x7e6c, 0xe1e, 0x7e6f, 0xe12, - 0x7e72, 0xe06, 0x7e75, 0xdf9, 0x7e77, 0xded, 0x7e7a, 0xde1, - 0x7e7d, 0xdd5, 0x7e80, 0xdc8, 0x7e82, 0xdbc, 0x7e85, 0xdb0, - 0x7e88, 0xda4, 0x7e8a, 0xd97, 0x7e8d, 0xd8b, 0x7e90, 0xd7f, - 0x7e92, 0xd72, 0x7e95, 0xd66, 0x7e98, 0xd5a, 0x7e9a, 0xd4e, - 0x7e9d, 0xd41, 0x7e9f, 0xd35, 0x7ea2, 0xd29, 0x7ea5, 0xd1c, - 0x7ea7, 0xd10, 0x7eaa, 0xd04, 0x7eac, 0xcf8, 0x7eaf, 0xceb, - 0x7eb1, 0xcdf, 0x7eb4, 0xcd3, 0x7eb6, 0xcc6, 0x7eb9, 0xcba, - 0x7ebb, 0xcae, 0x7ebe, 0xca1, 0x7ec0, 0xc95, 0x7ec3, 0xc89, - 0x7ec5, 0xc7c, 0x7ec8, 0xc70, 0x7eca, 0xc64, 0x7ecc, 0xc57, - 0x7ecf, 0xc4b, 0x7ed1, 0xc3f, 0x7ed4, 0xc32, 0x7ed6, 0xc26, - 0x7ed8, 0xc1a, 0x7edb, 0xc0d, 0x7edd, 0xc01, 0x7ee0, 0xbf5, - 0x7ee2, 0xbe8, 0x7ee4, 0xbdc, 0x7ee7, 0xbd0, 0x7ee9, 0xbc3, - 0x7eeb, 0xbb7, 0x7eed, 0xbab, 0x7ef0, 0xb9e, 0x7ef2, 0xb92, - 0x7ef4, 0xb85, 0x7ef7, 0xb79, 0x7ef9, 0xb6d, 0x7efb, 0xb60, - 0x7efd, 0xb54, 0x7f00, 0xb48, 0x7f02, 0xb3b, 0x7f04, 0xb2f, - 0x7f06, 0xb23, 0x7f08, 0xb16, 0x7f0a, 0xb0a, 0x7f0d, 0xafd, - 0x7f0f, 0xaf1, 0x7f11, 0xae5, 0x7f13, 0xad8, 0x7f15, 0xacc, - 0x7f17, 0xac0, 0x7f19, 0xab3, 0x7f1c, 0xaa7, 0x7f1e, 0xa9a, - 0x7f20, 0xa8e, 0x7f22, 0xa82, 0x7f24, 0xa75, 0x7f26, 0xa69, - 0x7f28, 0xa5c, 0x7f2a, 0xa50, 0x7f2c, 0xa44, 0x7f2e, 0xa37, - 0x7f30, 0xa2b, 0x7f32, 0xa1e, 0x7f34, 0xa12, 0x7f36, 0xa06, - 0x7f38, 0x9f9, 0x7f3a, 0x9ed, 0x7f3c, 0x9e0, 0x7f3e, 0x9d4, - 0x7f40, 0x9c7, 0x7f42, 0x9bb, 0x7f43, 0x9af, 0x7f45, 0x9a2, - 0x7f47, 0x996, 0x7f49, 0x989, 0x7f4b, 0x97d, 0x7f4d, 0x970, - 0x7f4f, 0x964, 0x7f51, 0x958, 0x7f52, 0x94b, 0x7f54, 0x93f, - 0x7f56, 0x932, 0x7f58, 0x926, 0x7f5a, 0x919, 0x7f5b, 0x90d, - 0x7f5d, 0x901, 0x7f5f, 0x8f4, 0x7f61, 0x8e8, 0x7f62, 0x8db, - 0x7f64, 0x8cf, 0x7f66, 0x8c2, 0x7f68, 0x8b6, 0x7f69, 0x8a9, - 0x7f6b, 0x89d, 0x7f6d, 0x891, 0x7f6e, 0x884, 0x7f70, 0x878, - 0x7f72, 0x86b, 0x7f73, 0x85f, 0x7f75, 0x852, 0x7f77, 0x846, - 0x7f78, 0x839, 0x7f7a, 0x82d, 0x7f7b, 0x820, 0x7f7d, 0x814, - 0x7f7f, 0x807, 0x7f80, 0x7fb, 0x7f82, 0x7ef, 0x7f83, 0x7e2, - 0x7f85, 0x7d6, 0x7f86, 0x7c9, 0x7f88, 0x7bd, 0x7f89, 0x7b0, - 0x7f8b, 0x7a4, 0x7f8c, 0x797, 0x7f8e, 0x78b, 0x7f8f, 0x77e, - 0x7f91, 0x772, 0x7f92, 0x765, 0x7f94, 0x759, 0x7f95, 0x74c, - 0x7f97, 0x740, 0x7f98, 0x733, 0x7f99, 0x727, 0x7f9b, 0x71a, - 0x7f9c, 0x70e, 0x7f9e, 0x701, 0x7f9f, 0x6f5, 0x7fa0, 0x6e8, - 0x7fa2, 0x6dc, 0x7fa3, 0x6cf, 0x7fa4, 0x6c3, 0x7fa6, 0x6b6, - 0x7fa7, 0x6aa, 0x7fa8, 0x69d, 0x7faa, 0x691, 0x7fab, 0x684, - 0x7fac, 0x678, 0x7fad, 0x66b, 0x7faf, 0x65f, 0x7fb0, 0x652, - 0x7fb1, 0x646, 0x7fb2, 0x639, 0x7fb4, 0x62d, 0x7fb5, 0x620, - 0x7fb6, 0x614, 0x7fb7, 0x607, 0x7fb8, 0x5fb, 0x7fb9, 0x5ee, - 0x7fbb, 0x5e2, 0x7fbc, 0x5d5, 0x7fbd, 0x5c9, 0x7fbe, 0x5bc, - 0x7fbf, 0x5b0, 0x7fc0, 0x5a3, 0x7fc1, 0x597, 0x7fc3, 0x58a, - 0x7fc4, 0x57e, 0x7fc5, 0x571, 0x7fc6, 0x565, 0x7fc7, 0x558, - 0x7fc8, 0x54c, 0x7fc9, 0x53f, 0x7fca, 0x533, 0x7fcb, 0x526, - 0x7fcc, 0x51a, 0x7fcd, 0x50d, 0x7fce, 0x500, 0x7fcf, 0x4f4, - 0x7fd0, 0x4e7, 0x7fd1, 0x4db, 0x7fd2, 0x4ce, 0x7fd3, 0x4c2, - 0x7fd4, 0x4b5, 0x7fd5, 0x4a9, 0x7fd5, 0x49c, 0x7fd6, 0x490, - 0x7fd7, 0x483, 0x7fd8, 0x477, 0x7fd9, 0x46a, 0x7fda, 0x45e, - 0x7fdb, 0x451, 0x7fdc, 0x444, 0x7fdc, 0x438, 0x7fdd, 0x42b, - 0x7fde, 0x41f, 0x7fdf, 0x412, 0x7fe0, 0x406, 0x7fe0, 0x3f9, - 0x7fe1, 0x3ed, 0x7fe2, 0x3e0, 0x7fe3, 0x3d4, 0x7fe3, 0x3c7, - 0x7fe4, 0x3bb, 0x7fe5, 0x3ae, 0x7fe6, 0x3a1, 0x7fe6, 0x395, - 0x7fe7, 0x388, 0x7fe8, 0x37c, 0x7fe8, 0x36f, 0x7fe9, 0x363, - 0x7fea, 0x356, 0x7fea, 0x34a, 0x7feb, 0x33d, 0x7fec, 0x330, - 0x7fec, 0x324, 0x7fed, 0x317, 0x7fed, 0x30b, 0x7fee, 0x2fe, - 0x7fef, 0x2f2, 0x7fef, 0x2e5, 0x7ff0, 0x2d9, 0x7ff0, 0x2cc, - 0x7ff1, 0x2c0, 0x7ff1, 0x2b3, 0x7ff2, 0x2a6, 0x7ff2, 0x29a, - 0x7ff3, 0x28d, 0x7ff3, 0x281, 0x7ff4, 0x274, 0x7ff4, 0x268, - 0x7ff5, 0x25b, 0x7ff5, 0x24e, 0x7ff6, 0x242, 0x7ff6, 0x235, - 0x7ff7, 0x229, 0x7ff7, 0x21c, 0x7ff7, 0x210, 0x7ff8, 0x203, - 0x7ff8, 0x1f7, 0x7ff9, 0x1ea, 0x7ff9, 0x1dd, 0x7ff9, 0x1d1, - 0x7ffa, 0x1c4, 0x7ffa, 0x1b8, 0x7ffa, 0x1ab, 0x7ffb, 0x19f, - 0x7ffb, 0x192, 0x7ffb, 0x186, 0x7ffc, 0x179, 0x7ffc, 0x16c, - 0x7ffc, 0x160, 0x7ffc, 0x153, 0x7ffd, 0x147, 0x7ffd, 0x13a, - 0x7ffd, 0x12e, 0x7ffd, 0x121, 0x7ffe, 0x114, 0x7ffe, 0x108, - 0x7ffe, 0xfb, 0x7ffe, 0xef, 0x7ffe, 0xe2, 0x7fff, 0xd6, - 0x7fff, 0xc9, 0x7fff, 0xbc, 0x7fff, 0xb0, 0x7fff, 0xa3, - 0x7fff, 0x97, 0x7fff, 0x8a, 0x7fff, 0x7e, 0x7fff, 0x71, - 0x7fff, 0x65, 0x7fff, 0x58, 0x7fff, 0x4b, 0x7fff, 0x3f, - 0x7fff, 0x32, 0x7fff, 0x26, 0x7fff, 0x19, 0x7fff, 0xd, - 0x7fff, 0x0, 0x7fff, 0xfff3, 0x7fff, 0xffe7, 0x7fff, 0xffda, - 0x7fff, 0xffce, 0x7fff, 0xffc1, 0x7fff, 0xffb5, 0x7fff, 0xffa8, - 0x7fff, 0xff9b, 0x7fff, 0xff8f, 0x7fff, 0xff82, 0x7fff, 0xff76, - 0x7fff, 0xff69, 0x7fff, 0xff5d, 0x7fff, 0xff50, 0x7fff, 0xff44, - 0x7fff, 0xff37, 0x7fff, 0xff2a, 0x7ffe, 0xff1e, 0x7ffe, 0xff11, - 0x7ffe, 0xff05, 0x7ffe, 0xfef8, 0x7ffe, 0xfeec, 0x7ffd, 0xfedf, - 0x7ffd, 0xfed2, 0x7ffd, 0xfec6, 0x7ffd, 0xfeb9, 0x7ffc, 0xfead, - 0x7ffc, 0xfea0, 0x7ffc, 0xfe94, 0x7ffc, 0xfe87, 0x7ffb, 0xfe7a, - 0x7ffb, 0xfe6e, 0x7ffb, 0xfe61, 0x7ffa, 0xfe55, 0x7ffa, 0xfe48, - 0x7ffa, 0xfe3c, 0x7ff9, 0xfe2f, 0x7ff9, 0xfe23, 0x7ff9, 0xfe16, - 0x7ff8, 0xfe09, 0x7ff8, 0xfdfd, 0x7ff7, 0xfdf0, 0x7ff7, 0xfde4, - 0x7ff7, 0xfdd7, 0x7ff6, 0xfdcb, 0x7ff6, 0xfdbe, 0x7ff5, 0xfdb2, - 0x7ff5, 0xfda5, 0x7ff4, 0xfd98, 0x7ff4, 0xfd8c, 0x7ff3, 0xfd7f, - 0x7ff3, 0xfd73, 0x7ff2, 0xfd66, 0x7ff2, 0xfd5a, 0x7ff1, 0xfd4d, - 0x7ff1, 0xfd40, 0x7ff0, 0xfd34, 0x7ff0, 0xfd27, 0x7fef, 0xfd1b, - 0x7fef, 0xfd0e, 0x7fee, 0xfd02, 0x7fed, 0xfcf5, 0x7fed, 0xfce9, - 0x7fec, 0xfcdc, 0x7fec, 0xfcd0, 0x7feb, 0xfcc3, 0x7fea, 0xfcb6, - 0x7fea, 0xfcaa, 0x7fe9, 0xfc9d, 0x7fe8, 0xfc91, 0x7fe8, 0xfc84, - 0x7fe7, 0xfc78, 0x7fe6, 0xfc6b, 0x7fe6, 0xfc5f, 0x7fe5, 0xfc52, - 0x7fe4, 0xfc45, 0x7fe3, 0xfc39, 0x7fe3, 0xfc2c, 0x7fe2, 0xfc20, - 0x7fe1, 0xfc13, 0x7fe0, 0xfc07, 0x7fe0, 0xfbfa, 0x7fdf, 0xfbee, - 0x7fde, 0xfbe1, 0x7fdd, 0xfbd5, 0x7fdc, 0xfbc8, 0x7fdc, 0xfbbc, - 0x7fdb, 0xfbaf, 0x7fda, 0xfba2, 0x7fd9, 0xfb96, 0x7fd8, 0xfb89, - 0x7fd7, 0xfb7d, 0x7fd6, 0xfb70, 0x7fd5, 0xfb64, 0x7fd5, 0xfb57, - 0x7fd4, 0xfb4b, 0x7fd3, 0xfb3e, 0x7fd2, 0xfb32, 0x7fd1, 0xfb25, - 0x7fd0, 0xfb19, 0x7fcf, 0xfb0c, 0x7fce, 0xfb00, 0x7fcd, 0xfaf3, - 0x7fcc, 0xfae6, 0x7fcb, 0xfada, 0x7fca, 0xfacd, 0x7fc9, 0xfac1, - 0x7fc8, 0xfab4, 0x7fc7, 0xfaa8, 0x7fc6, 0xfa9b, 0x7fc5, 0xfa8f, - 0x7fc4, 0xfa82, 0x7fc3, 0xfa76, 0x7fc1, 0xfa69, 0x7fc0, 0xfa5d, - 0x7fbf, 0xfa50, 0x7fbe, 0xfa44, 0x7fbd, 0xfa37, 0x7fbc, 0xfa2b, - 0x7fbb, 0xfa1e, 0x7fb9, 0xfa12, 0x7fb8, 0xfa05, 0x7fb7, 0xf9f9, - 0x7fb6, 0xf9ec, 0x7fb5, 0xf9e0, 0x7fb4, 0xf9d3, 0x7fb2, 0xf9c7, - 0x7fb1, 0xf9ba, 0x7fb0, 0xf9ae, 0x7faf, 0xf9a1, 0x7fad, 0xf995, - 0x7fac, 0xf988, 0x7fab, 0xf97c, 0x7faa, 0xf96f, 0x7fa8, 0xf963, - 0x7fa7, 0xf956, 0x7fa6, 0xf94a, 0x7fa4, 0xf93d, 0x7fa3, 0xf931, - 0x7fa2, 0xf924, 0x7fa0, 0xf918, 0x7f9f, 0xf90b, 0x7f9e, 0xf8ff, - 0x7f9c, 0xf8f2, 0x7f9b, 0xf8e6, 0x7f99, 0xf8d9, 0x7f98, 0xf8cd, - 0x7f97, 0xf8c0, 0x7f95, 0xf8b4, 0x7f94, 0xf8a7, 0x7f92, 0xf89b, - 0x7f91, 0xf88e, 0x7f8f, 0xf882, 0x7f8e, 0xf875, 0x7f8c, 0xf869, - 0x7f8b, 0xf85c, 0x7f89, 0xf850, 0x7f88, 0xf843, 0x7f86, 0xf837, - 0x7f85, 0xf82a, 0x7f83, 0xf81e, 0x7f82, 0xf811, 0x7f80, 0xf805, - 0x7f7f, 0xf7f9, 0x7f7d, 0xf7ec, 0x7f7b, 0xf7e0, 0x7f7a, 0xf7d3, - 0x7f78, 0xf7c7, 0x7f77, 0xf7ba, 0x7f75, 0xf7ae, 0x7f73, 0xf7a1, - 0x7f72, 0xf795, 0x7f70, 0xf788, 0x7f6e, 0xf77c, 0x7f6d, 0xf76f, - 0x7f6b, 0xf763, 0x7f69, 0xf757, 0x7f68, 0xf74a, 0x7f66, 0xf73e, - 0x7f64, 0xf731, 0x7f62, 0xf725, 0x7f61, 0xf718, 0x7f5f, 0xf70c, - 0x7f5d, 0xf6ff, 0x7f5b, 0xf6f3, 0x7f5a, 0xf6e7, 0x7f58, 0xf6da, - 0x7f56, 0xf6ce, 0x7f54, 0xf6c1, 0x7f52, 0xf6b5, 0x7f51, 0xf6a8, - 0x7f4f, 0xf69c, 0x7f4d, 0xf690, 0x7f4b, 0xf683, 0x7f49, 0xf677, - 0x7f47, 0xf66a, 0x7f45, 0xf65e, 0x7f43, 0xf651, 0x7f42, 0xf645, - 0x7f40, 0xf639, 0x7f3e, 0xf62c, 0x7f3c, 0xf620, 0x7f3a, 0xf613, - 0x7f38, 0xf607, 0x7f36, 0xf5fa, 0x7f34, 0xf5ee, 0x7f32, 0xf5e2, - 0x7f30, 0xf5d5, 0x7f2e, 0xf5c9, 0x7f2c, 0xf5bc, 0x7f2a, 0xf5b0, - 0x7f28, 0xf5a4, 0x7f26, 0xf597, 0x7f24, 0xf58b, 0x7f22, 0xf57e, - 0x7f20, 0xf572, 0x7f1e, 0xf566, 0x7f1c, 0xf559, 0x7f19, 0xf54d, - 0x7f17, 0xf540, 0x7f15, 0xf534, 0x7f13, 0xf528, 0x7f11, 0xf51b, - 0x7f0f, 0xf50f, 0x7f0d, 0xf503, 0x7f0a, 0xf4f6, 0x7f08, 0xf4ea, - 0x7f06, 0xf4dd, 0x7f04, 0xf4d1, 0x7f02, 0xf4c5, 0x7f00, 0xf4b8, - 0x7efd, 0xf4ac, 0x7efb, 0xf4a0, 0x7ef9, 0xf493, 0x7ef7, 0xf487, - 0x7ef4, 0xf47b, 0x7ef2, 0xf46e, 0x7ef0, 0xf462, 0x7eed, 0xf455, - 0x7eeb, 0xf449, 0x7ee9, 0xf43d, 0x7ee7, 0xf430, 0x7ee4, 0xf424, - 0x7ee2, 0xf418, 0x7ee0, 0xf40b, 0x7edd, 0xf3ff, 0x7edb, 0xf3f3, - 0x7ed8, 0xf3e6, 0x7ed6, 0xf3da, 0x7ed4, 0xf3ce, 0x7ed1, 0xf3c1, - 0x7ecf, 0xf3b5, 0x7ecc, 0xf3a9, 0x7eca, 0xf39c, 0x7ec8, 0xf390, - 0x7ec5, 0xf384, 0x7ec3, 0xf377, 0x7ec0, 0xf36b, 0x7ebe, 0xf35f, - 0x7ebb, 0xf352, 0x7eb9, 0xf346, 0x7eb6, 0xf33a, 0x7eb4, 0xf32d, - 0x7eb1, 0xf321, 0x7eaf, 0xf315, 0x7eac, 0xf308, 0x7eaa, 0xf2fc, - 0x7ea7, 0xf2f0, 0x7ea5, 0xf2e4, 0x7ea2, 0xf2d7, 0x7e9f, 0xf2cb, - 0x7e9d, 0xf2bf, 0x7e9a, 0xf2b2, 0x7e98, 0xf2a6, 0x7e95, 0xf29a, - 0x7e92, 0xf28e, 0x7e90, 0xf281, 0x7e8d, 0xf275, 0x7e8a, 0xf269, - 0x7e88, 0xf25c, 0x7e85, 0xf250, 0x7e82, 0xf244, 0x7e80, 0xf238, - 0x7e7d, 0xf22b, 0x7e7a, 0xf21f, 0x7e77, 0xf213, 0x7e75, 0xf207, - 0x7e72, 0xf1fa, 0x7e6f, 0xf1ee, 0x7e6c, 0xf1e2, 0x7e6a, 0xf1d5, - 0x7e67, 0xf1c9, 0x7e64, 0xf1bd, 0x7e61, 0xf1b1, 0x7e5e, 0xf1a4, - 0x7e5c, 0xf198, 0x7e59, 0xf18c, 0x7e56, 0xf180, 0x7e53, 0xf174, - 0x7e50, 0xf167, 0x7e4d, 0xf15b, 0x7e4a, 0xf14f, 0x7e48, 0xf143, - 0x7e45, 0xf136, 0x7e42, 0xf12a, 0x7e3f, 0xf11e, 0x7e3c, 0xf112, - 0x7e39, 0xf105, 0x7e36, 0xf0f9, 0x7e33, 0xf0ed, 0x7e30, 0xf0e1, - 0x7e2d, 0xf0d5, 0x7e2a, 0xf0c8, 0x7e27, 0xf0bc, 0x7e24, 0xf0b0, - 0x7e21, 0xf0a4, 0x7e1e, 0xf098, 0x7e1b, 0xf08b, 0x7e18, 0xf07f, - 0x7e15, 0xf073, 0x7e12, 0xf067, 0x7e0f, 0xf05b, 0x7e0c, 0xf04e, - 0x7e09, 0xf042, 0x7e06, 0xf036, 0x7e03, 0xf02a, 0x7dff, 0xf01e, - 0x7dfc, 0xf012, 0x7df9, 0xf005, 0x7df6, 0xeff9, 0x7df3, 0xefed, - 0x7df0, 0xefe1, 0x7ded, 0xefd5, 0x7de9, 0xefc9, 0x7de6, 0xefbc, - 0x7de3, 0xefb0, 0x7de0, 0xefa4, 0x7ddd, 0xef98, 0x7dd9, 0xef8c, - 0x7dd6, 0xef80, 0x7dd3, 0xef74, 0x7dd0, 0xef67, 0x7dcc, 0xef5b, - 0x7dc9, 0xef4f, 0x7dc6, 0xef43, 0x7dc2, 0xef37, 0x7dbf, 0xef2b, - 0x7dbc, 0xef1f, 0x7db9, 0xef13, 0x7db5, 0xef06, 0x7db2, 0xeefa, - 0x7daf, 0xeeee, 0x7dab, 0xeee2, 0x7da8, 0xeed6, 0x7da4, 0xeeca, - 0x7da1, 0xeebe, 0x7d9e, 0xeeb2, 0x7d9a, 0xeea6, 0x7d97, 0xee99, - 0x7d93, 0xee8d, 0x7d90, 0xee81, 0x7d8d, 0xee75, 0x7d89, 0xee69, - 0x7d86, 0xee5d, 0x7d82, 0xee51, 0x7d7f, 0xee45, 0x7d7b, 0xee39, - 0x7d78, 0xee2d, 0x7d74, 0xee21, 0x7d71, 0xee15, 0x7d6d, 0xee09, - 0x7d6a, 0xedfc, 0x7d66, 0xedf0, 0x7d63, 0xede4, 0x7d5f, 0xedd8, - 0x7d5b, 0xedcc, 0x7d58, 0xedc0, 0x7d54, 0xedb4, 0x7d51, 0xeda8, - 0x7d4d, 0xed9c, 0x7d49, 0xed90, 0x7d46, 0xed84, 0x7d42, 0xed78, - 0x7d3f, 0xed6c, 0x7d3b, 0xed60, 0x7d37, 0xed54, 0x7d34, 0xed48, - 0x7d30, 0xed3c, 0x7d2c, 0xed30, 0x7d28, 0xed24, 0x7d25, 0xed18, - 0x7d21, 0xed0c, 0x7d1d, 0xed00, 0x7d1a, 0xecf4, 0x7d16, 0xece8, - 0x7d12, 0xecdc, 0x7d0e, 0xecd0, 0x7d0b, 0xecc4, 0x7d07, 0xecb8, - 0x7d03, 0xecac, 0x7cff, 0xeca0, 0x7cfb, 0xec94, 0x7cf8, 0xec88, - 0x7cf4, 0xec7c, 0x7cf0, 0xec70, 0x7cec, 0xec64, 0x7ce8, 0xec58, - 0x7ce4, 0xec4c, 0x7ce0, 0xec40, 0x7cdd, 0xec34, 0x7cd9, 0xec28, - 0x7cd5, 0xec1c, 0x7cd1, 0xec10, 0x7ccd, 0xec05, 0x7cc9, 0xebf9, - 0x7cc5, 0xebed, 0x7cc1, 0xebe1, 0x7cbd, 0xebd5, 0x7cb9, 0xebc9, - 0x7cb5, 0xebbd, 0x7cb1, 0xebb1, 0x7cad, 0xeba5, 0x7ca9, 0xeb99, - 0x7ca5, 0xeb8d, 0x7ca1, 0xeb81, 0x7c9d, 0xeb75, 0x7c99, 0xeb6a, - 0x7c95, 0xeb5e, 0x7c91, 0xeb52, 0x7c8d, 0xeb46, 0x7c89, 0xeb3a, - 0x7c85, 0xeb2e, 0x7c81, 0xeb22, 0x7c7d, 0xeb16, 0x7c79, 0xeb0a, - 0x7c74, 0xeaff, 0x7c70, 0xeaf3, 0x7c6c, 0xeae7, 0x7c68, 0xeadb, - 0x7c64, 0xeacf, 0x7c60, 0xeac3, 0x7c5b, 0xeab7, 0x7c57, 0xeaac, - 0x7c53, 0xeaa0, 0x7c4f, 0xea94, 0x7c4b, 0xea88, 0x7c46, 0xea7c, - 0x7c42, 0xea70, 0x7c3e, 0xea65, 0x7c3a, 0xea59, 0x7c36, 0xea4d, - 0x7c31, 0xea41, 0x7c2d, 0xea35, 0x7c29, 0xea29, 0x7c24, 0xea1e, - 0x7c20, 0xea12, 0x7c1c, 0xea06, 0x7c17, 0xe9fa, 0x7c13, 0xe9ee, - 0x7c0f, 0xe9e3, 0x7c0a, 0xe9d7, 0x7c06, 0xe9cb, 0x7c02, 0xe9bf, - 0x7bfd, 0xe9b4, 0x7bf9, 0xe9a8, 0x7bf5, 0xe99c, 0x7bf0, 0xe990, - 0x7bec, 0xe984, 0x7be7, 0xe979, 0x7be3, 0xe96d, 0x7bde, 0xe961, - 0x7bda, 0xe955, 0x7bd6, 0xe94a, 0x7bd1, 0xe93e, 0x7bcd, 0xe932, - 0x7bc8, 0xe926, 0x7bc4, 0xe91b, 0x7bbf, 0xe90f, 0x7bbb, 0xe903, - 0x7bb6, 0xe8f7, 0x7bb2, 0xe8ec, 0x7bad, 0xe8e0, 0x7ba9, 0xe8d4, - 0x7ba4, 0xe8c9, 0x7b9f, 0xe8bd, 0x7b9b, 0xe8b1, 0x7b96, 0xe8a5, - 0x7b92, 0xe89a, 0x7b8d, 0xe88e, 0x7b88, 0xe882, 0x7b84, 0xe877, - 0x7b7f, 0xe86b, 0x7b7b, 0xe85f, 0x7b76, 0xe854, 0x7b71, 0xe848, - 0x7b6d, 0xe83c, 0x7b68, 0xe831, 0x7b63, 0xe825, 0x7b5f, 0xe819, - 0x7b5a, 0xe80e, 0x7b55, 0xe802, 0x7b50, 0xe7f6, 0x7b4c, 0xe7eb, - 0x7b47, 0xe7df, 0x7b42, 0xe7d3, 0x7b3e, 0xe7c8, 0x7b39, 0xe7bc, - 0x7b34, 0xe7b1, 0x7b2f, 0xe7a5, 0x7b2a, 0xe799, 0x7b26, 0xe78e, - 0x7b21, 0xe782, 0x7b1c, 0xe777, 0x7b17, 0xe76b, 0x7b12, 0xe75f, - 0x7b0e, 0xe754, 0x7b09, 0xe748, 0x7b04, 0xe73d, 0x7aff, 0xe731, - 0x7afa, 0xe725, 0x7af5, 0xe71a, 0x7af0, 0xe70e, 0x7aeb, 0xe703, - 0x7ae6, 0xe6f7, 0x7ae2, 0xe6ec, 0x7add, 0xe6e0, 0x7ad8, 0xe6d4, - 0x7ad3, 0xe6c9, 0x7ace, 0xe6bd, 0x7ac9, 0xe6b2, 0x7ac4, 0xe6a6, - 0x7abf, 0xe69b, 0x7aba, 0xe68f, 0x7ab5, 0xe684, 0x7ab0, 0xe678, - 0x7aab, 0xe66d, 0x7aa6, 0xe661, 0x7aa1, 0xe656, 0x7a9c, 0xe64a, - 0x7a97, 0xe63f, 0x7a92, 0xe633, 0x7a8d, 0xe628, 0x7a88, 0xe61c, - 0x7a82, 0xe611, 0x7a7d, 0xe605, 0x7a78, 0xe5fa, 0x7a73, 0xe5ee, - 0x7a6e, 0xe5e3, 0x7a69, 0xe5d7, 0x7a64, 0xe5cc, 0x7a5f, 0xe5c0, - 0x7a59, 0xe5b5, 0x7a54, 0xe5a9, 0x7a4f, 0xe59e, 0x7a4a, 0xe592, - 0x7a45, 0xe587, 0x7a3f, 0xe57c, 0x7a3a, 0xe570, 0x7a35, 0xe565, - 0x7a30, 0xe559, 0x7a2b, 0xe54e, 0x7a25, 0xe542, 0x7a20, 0xe537, - 0x7a1b, 0xe52c, 0x7a16, 0xe520, 0x7a10, 0xe515, 0x7a0b, 0xe509, - 0x7a06, 0xe4fe, 0x7a00, 0xe4f3, 0x79fb, 0xe4e7, 0x79f6, 0xe4dc, - 0x79f0, 0xe4d0, 0x79eb, 0xe4c5, 0x79e6, 0xe4ba, 0x79e0, 0xe4ae, - 0x79db, 0xe4a3, 0x79d6, 0xe498, 0x79d0, 0xe48c, 0x79cb, 0xe481, - 0x79c5, 0xe476, 0x79c0, 0xe46a, 0x79bb, 0xe45f, 0x79b5, 0xe454, - 0x79b0, 0xe448, 0x79aa, 0xe43d, 0x79a5, 0xe432, 0x799f, 0xe426, - 0x799a, 0xe41b, 0x7994, 0xe410, 0x798f, 0xe404, 0x7989, 0xe3f9, - 0x7984, 0xe3ee, 0x797e, 0xe3e2, 0x7979, 0xe3d7, 0x7973, 0xe3cc, - 0x796e, 0xe3c1, 0x7968, 0xe3b5, 0x7963, 0xe3aa, 0x795d, 0xe39f, - 0x7958, 0xe394, 0x7952, 0xe388, 0x794c, 0xe37d, 0x7947, 0xe372, - 0x7941, 0xe367, 0x793b, 0xe35b, 0x7936, 0xe350, 0x7930, 0xe345, - 0x792b, 0xe33a, 0x7925, 0xe32e, 0x791f, 0xe323, 0x791a, 0xe318, - 0x7914, 0xe30d, 0x790e, 0xe301, 0x7909, 0xe2f6, 0x7903, 0xe2eb, - 0x78fd, 0xe2e0, 0x78f7, 0xe2d5, 0x78f2, 0xe2ca, 0x78ec, 0xe2be, - 0x78e6, 0xe2b3, 0x78e0, 0xe2a8, 0x78db, 0xe29d, 0x78d5, 0xe292, - 0x78cf, 0xe287, 0x78c9, 0xe27b, 0x78c3, 0xe270, 0x78be, 0xe265, - 0x78b8, 0xe25a, 0x78b2, 0xe24f, 0x78ac, 0xe244, 0x78a6, 0xe239, - 0x78a1, 0xe22d, 0x789b, 0xe222, 0x7895, 0xe217, 0x788f, 0xe20c, - 0x7889, 0xe201, 0x7883, 0xe1f6, 0x787d, 0xe1eb, 0x7877, 0xe1e0, - 0x7871, 0xe1d5, 0x786b, 0xe1ca, 0x7866, 0xe1be, 0x7860, 0xe1b3, - 0x785a, 0xe1a8, 0x7854, 0xe19d, 0x784e, 0xe192, 0x7848, 0xe187, - 0x7842, 0xe17c, 0x783c, 0xe171, 0x7836, 0xe166, 0x7830, 0xe15b, - 0x782a, 0xe150, 0x7824, 0xe145, 0x781e, 0xe13a, 0x7818, 0xe12f, - 0x7812, 0xe124, 0x780b, 0xe119, 0x7805, 0xe10e, 0x77ff, 0xe103, - 0x77f9, 0xe0f8, 0x77f3, 0xe0ed, 0x77ed, 0xe0e2, 0x77e7, 0xe0d7, - 0x77e1, 0xe0cc, 0x77db, 0xe0c1, 0x77d5, 0xe0b6, 0x77ce, 0xe0ab, - 0x77c8, 0xe0a0, 0x77c2, 0xe095, 0x77bc, 0xe08a, 0x77b6, 0xe07f, - 0x77b0, 0xe074, 0x77a9, 0xe069, 0x77a3, 0xe05e, 0x779d, 0xe054, - 0x7797, 0xe049, 0x7790, 0xe03e, 0x778a, 0xe033, 0x7784, 0xe028, - 0x777e, 0xe01d, 0x7777, 0xe012, 0x7771, 0xe007, 0x776b, 0xdffc, - 0x7765, 0xdff1, 0x775e, 0xdfe7, 0x7758, 0xdfdc, 0x7752, 0xdfd1, - 0x774b, 0xdfc6, 0x7745, 0xdfbb, 0x773f, 0xdfb0, 0x7738, 0xdfa5, - 0x7732, 0xdf9b, 0x772c, 0xdf90, 0x7725, 0xdf85, 0x771f, 0xdf7a, - 0x7718, 0xdf6f, 0x7712, 0xdf65, 0x770c, 0xdf5a, 0x7705, 0xdf4f, - 0x76ff, 0xdf44, 0x76f8, 0xdf39, 0x76f2, 0xdf2f, 0x76eb, 0xdf24, - 0x76e5, 0xdf19, 0x76df, 0xdf0e, 0x76d8, 0xdf03, 0x76d2, 0xdef9, - 0x76cb, 0xdeee, 0x76c5, 0xdee3, 0x76be, 0xded8, 0x76b8, 0xdece, - 0x76b1, 0xdec3, 0x76ab, 0xdeb8, 0x76a4, 0xdead, 0x769d, 0xdea3, - 0x7697, 0xde98, 0x7690, 0xde8d, 0x768a, 0xde83, 0x7683, 0xde78, - 0x767d, 0xde6d, 0x7676, 0xde62, 0x766f, 0xde58, 0x7669, 0xde4d, - 0x7662, 0xde42, 0x765c, 0xde38, 0x7655, 0xde2d, 0x764e, 0xde22, - 0x7648, 0xde18, 0x7641, 0xde0d, 0x763a, 0xde02, 0x7634, 0xddf8, - 0x762d, 0xdded, 0x7626, 0xdde2, 0x7620, 0xddd8, 0x7619, 0xddcd, - 0x7612, 0xddc3, 0x760b, 0xddb8, 0x7605, 0xddad, 0x75fe, 0xdda3, - 0x75f7, 0xdd98, 0x75f0, 0xdd8e, 0x75ea, 0xdd83, 0x75e3, 0xdd78, - 0x75dc, 0xdd6e, 0x75d5, 0xdd63, 0x75ce, 0xdd59, 0x75c8, 0xdd4e, - 0x75c1, 0xdd44, 0x75ba, 0xdd39, 0x75b3, 0xdd2e, 0x75ac, 0xdd24, - 0x75a5, 0xdd19, 0x759f, 0xdd0f, 0x7598, 0xdd04, 0x7591, 0xdcfa, - 0x758a, 0xdcef, 0x7583, 0xdce5, 0x757c, 0xdcda, 0x7575, 0xdcd0, - 0x756e, 0xdcc5, 0x7567, 0xdcbb, 0x7561, 0xdcb0, 0x755a, 0xdca6, - 0x7553, 0xdc9b, 0x754c, 0xdc91, 0x7545, 0xdc86, 0x753e, 0xdc7c, - 0x7537, 0xdc72, 0x7530, 0xdc67, 0x7529, 0xdc5d, 0x7522, 0xdc52, - 0x751b, 0xdc48, 0x7514, 0xdc3d, 0x750d, 0xdc33, 0x7506, 0xdc29, - 0x74ff, 0xdc1e, 0x74f8, 0xdc14, 0x74f1, 0xdc09, 0x74ea, 0xdbff, - 0x74e2, 0xdbf5, 0x74db, 0xdbea, 0x74d4, 0xdbe0, 0x74cd, 0xdbd5, - 0x74c6, 0xdbcb, 0x74bf, 0xdbc1, 0x74b8, 0xdbb6, 0x74b1, 0xdbac, - 0x74aa, 0xdba2, 0x74a2, 0xdb97, 0x749b, 0xdb8d, 0x7494, 0xdb83, - 0x748d, 0xdb78, 0x7486, 0xdb6e, 0x747f, 0xdb64, 0x7477, 0xdb59, - 0x7470, 0xdb4f, 0x7469, 0xdb45, 0x7462, 0xdb3b, 0x745b, 0xdb30, - 0x7453, 0xdb26, 0x744c, 0xdb1c, 0x7445, 0xdb11, 0x743e, 0xdb07, - 0x7436, 0xdafd, 0x742f, 0xdaf3, 0x7428, 0xdae8, 0x7420, 0xdade, - 0x7419, 0xdad4, 0x7412, 0xdaca, 0x740b, 0xdabf, 0x7403, 0xdab5, - 0x73fc, 0xdaab, 0x73f5, 0xdaa1, 0x73ed, 0xda97, 0x73e6, 0xda8c, - 0x73df, 0xda82, 0x73d7, 0xda78, 0x73d0, 0xda6e, 0x73c8, 0xda64, - 0x73c1, 0xda5a, 0x73ba, 0xda4f, 0x73b2, 0xda45, 0x73ab, 0xda3b, - 0x73a3, 0xda31, 0x739c, 0xda27, 0x7395, 0xda1d, 0x738d, 0xda13, - 0x7386, 0xda08, 0x737e, 0xd9fe, 0x7377, 0xd9f4, 0x736f, 0xd9ea, - 0x7368, 0xd9e0, 0x7360, 0xd9d6, 0x7359, 0xd9cc, 0x7351, 0xd9c2, - 0x734a, 0xd9b8, 0x7342, 0xd9ae, 0x733b, 0xd9a4, 0x7333, 0xd99a, - 0x732c, 0xd98f, 0x7324, 0xd985, 0x731d, 0xd97b, 0x7315, 0xd971, - 0x730d, 0xd967, 0x7306, 0xd95d, 0x72fe, 0xd953, 0x72f7, 0xd949, - 0x72ef, 0xd93f, 0x72e7, 0xd935, 0x72e0, 0xd92b, 0x72d8, 0xd921, - 0x72d0, 0xd917, 0x72c9, 0xd90d, 0x72c1, 0xd903, 0x72ba, 0xd8f9, - 0x72b2, 0xd8ef, 0x72aa, 0xd8e6, 0x72a3, 0xd8dc, 0x729b, 0xd8d2, - 0x7293, 0xd8c8, 0x728b, 0xd8be, 0x7284, 0xd8b4, 0x727c, 0xd8aa, - 0x7274, 0xd8a0, 0x726d, 0xd896, 0x7265, 0xd88c, 0x725d, 0xd882, - 0x7255, 0xd878, 0x724e, 0xd86f, 0x7246, 0xd865, 0x723e, 0xd85b, - 0x7236, 0xd851, 0x722e, 0xd847, 0x7227, 0xd83d, 0x721f, 0xd833, - 0x7217, 0xd82a, 0x720f, 0xd820, 0x7207, 0xd816, 0x71ff, 0xd80c, - 0x71f8, 0xd802, 0x71f0, 0xd7f8, 0x71e8, 0xd7ef, 0x71e0, 0xd7e5, - 0x71d8, 0xd7db, 0x71d0, 0xd7d1, 0x71c8, 0xd7c8, 0x71c0, 0xd7be, - 0x71b9, 0xd7b4, 0x71b1, 0xd7aa, 0x71a9, 0xd7a0, 0x71a1, 0xd797, - 0x7199, 0xd78d, 0x7191, 0xd783, 0x7189, 0xd77a, 0x7181, 0xd770, - 0x7179, 0xd766, 0x7171, 0xd75c, 0x7169, 0xd753, 0x7161, 0xd749, - 0x7159, 0xd73f, 0x7151, 0xd736, 0x7149, 0xd72c, 0x7141, 0xd722, - 0x7139, 0xd719, 0x7131, 0xd70f, 0x7129, 0xd705, 0x7121, 0xd6fc, - 0x7119, 0xd6f2, 0x7111, 0xd6e8, 0x7109, 0xd6df, 0x7101, 0xd6d5, - 0x70f9, 0xd6cb, 0x70f0, 0xd6c2, 0x70e8, 0xd6b8, 0x70e0, 0xd6af, - 0x70d8, 0xd6a5, 0x70d0, 0xd69b, 0x70c8, 0xd692, 0x70c0, 0xd688, - 0x70b8, 0xd67f, 0x70af, 0xd675, 0x70a7, 0xd66c, 0x709f, 0xd662, - 0x7097, 0xd659, 0x708f, 0xd64f, 0x7087, 0xd645, 0x707e, 0xd63c, - 0x7076, 0xd632, 0x706e, 0xd629, 0x7066, 0xd61f, 0x705d, 0xd616, - 0x7055, 0xd60c, 0x704d, 0xd603, 0x7045, 0xd5f9, 0x703c, 0xd5f0, - 0x7034, 0xd5e6, 0x702c, 0xd5dd, 0x7024, 0xd5d4, 0x701b, 0xd5ca, - 0x7013, 0xd5c1, 0x700b, 0xd5b7, 0x7002, 0xd5ae, 0x6ffa, 0xd5a4, - 0x6ff2, 0xd59b, 0x6fea, 0xd592, 0x6fe1, 0xd588, 0x6fd9, 0xd57f, - 0x6fd0, 0xd575, 0x6fc8, 0xd56c, 0x6fc0, 0xd563, 0x6fb7, 0xd559, - 0x6faf, 0xd550, 0x6fa7, 0xd547, 0x6f9e, 0xd53d, 0x6f96, 0xd534, - 0x6f8d, 0xd52a, 0x6f85, 0xd521, 0x6f7d, 0xd518, 0x6f74, 0xd50e, - 0x6f6c, 0xd505, 0x6f63, 0xd4fc, 0x6f5b, 0xd4f3, 0x6f52, 0xd4e9, - 0x6f4a, 0xd4e0, 0x6f41, 0xd4d7, 0x6f39, 0xd4cd, 0x6f30, 0xd4c4, - 0x6f28, 0xd4bb, 0x6f20, 0xd4b2, 0x6f17, 0xd4a8, 0x6f0e, 0xd49f, - 0x6f06, 0xd496, 0x6efd, 0xd48d, 0x6ef5, 0xd483, 0x6eec, 0xd47a, - 0x6ee4, 0xd471, 0x6edb, 0xd468, 0x6ed3, 0xd45f, 0x6eca, 0xd455, - 0x6ec2, 0xd44c, 0x6eb9, 0xd443, 0x6eb0, 0xd43a, 0x6ea8, 0xd431, - 0x6e9f, 0xd428, 0x6e97, 0xd41e, 0x6e8e, 0xd415, 0x6e85, 0xd40c, - 0x6e7d, 0xd403, 0x6e74, 0xd3fa, 0x6e6b, 0xd3f1, 0x6e63, 0xd3e8, - 0x6e5a, 0xd3df, 0x6e51, 0xd3d5, 0x6e49, 0xd3cc, 0x6e40, 0xd3c3, - 0x6e37, 0xd3ba, 0x6e2f, 0xd3b1, 0x6e26, 0xd3a8, 0x6e1d, 0xd39f, - 0x6e15, 0xd396, 0x6e0c, 0xd38d, 0x6e03, 0xd384, 0x6dfa, 0xd37b, - 0x6df2, 0xd372, 0x6de9, 0xd369, 0x6de0, 0xd360, 0x6dd7, 0xd357, - 0x6dcf, 0xd34e, 0x6dc6, 0xd345, 0x6dbd, 0xd33c, 0x6db4, 0xd333, - 0x6dab, 0xd32a, 0x6da3, 0xd321, 0x6d9a, 0xd318, 0x6d91, 0xd30f, - 0x6d88, 0xd306, 0x6d7f, 0xd2fd, 0x6d76, 0xd2f4, 0x6d6e, 0xd2eb, - 0x6d65, 0xd2e2, 0x6d5c, 0xd2d9, 0x6d53, 0xd2d1, 0x6d4a, 0xd2c8, - 0x6d41, 0xd2bf, 0x6d38, 0xd2b6, 0x6d2f, 0xd2ad, 0x6d27, 0xd2a4, - 0x6d1e, 0xd29b, 0x6d15, 0xd292, 0x6d0c, 0xd28a, 0x6d03, 0xd281, - 0x6cfa, 0xd278, 0x6cf1, 0xd26f, 0x6ce8, 0xd266, 0x6cdf, 0xd25d, - 0x6cd6, 0xd255, 0x6ccd, 0xd24c, 0x6cc4, 0xd243, 0x6cbb, 0xd23a, - 0x6cb2, 0xd231, 0x6ca9, 0xd229, 0x6ca0, 0xd220, 0x6c97, 0xd217, - 0x6c8e, 0xd20e, 0x6c85, 0xd206, 0x6c7c, 0xd1fd, 0x6c73, 0xd1f4, - 0x6c6a, 0xd1eb, 0x6c61, 0xd1e3, 0x6c58, 0xd1da, 0x6c4f, 0xd1d1, - 0x6c46, 0xd1c9, 0x6c3d, 0xd1c0, 0x6c34, 0xd1b7, 0x6c2b, 0xd1af, - 0x6c21, 0xd1a6, 0x6c18, 0xd19d, 0x6c0f, 0xd195, 0x6c06, 0xd18c, - 0x6bfd, 0xd183, 0x6bf4, 0xd17b, 0x6beb, 0xd172, 0x6be2, 0xd169, - 0x6bd8, 0xd161, 0x6bcf, 0xd158, 0x6bc6, 0xd150, 0x6bbd, 0xd147, - 0x6bb4, 0xd13e, 0x6bab, 0xd136, 0x6ba1, 0xd12d, 0x6b98, 0xd125, - 0x6b8f, 0xd11c, 0x6b86, 0xd114, 0x6b7d, 0xd10b, 0x6b73, 0xd103, - 0x6b6a, 0xd0fa, 0x6b61, 0xd0f2, 0x6b58, 0xd0e9, 0x6b4e, 0xd0e0, - 0x6b45, 0xd0d8, 0x6b3c, 0xd0d0, 0x6b33, 0xd0c7, 0x6b29, 0xd0bf, - 0x6b20, 0xd0b6, 0x6b17, 0xd0ae, 0x6b0d, 0xd0a5, 0x6b04, 0xd09d, - 0x6afb, 0xd094, 0x6af2, 0xd08c, 0x6ae8, 0xd083, 0x6adf, 0xd07b, - 0x6ad6, 0xd073, 0x6acc, 0xd06a, 0x6ac3, 0xd062, 0x6ab9, 0xd059, - 0x6ab0, 0xd051, 0x6aa7, 0xd049, 0x6a9d, 0xd040, 0x6a94, 0xd038, - 0x6a8b, 0xd030, 0x6a81, 0xd027, 0x6a78, 0xd01f, 0x6a6e, 0xd016, - 0x6a65, 0xd00e, 0x6a5c, 0xd006, 0x6a52, 0xcffe, 0x6a49, 0xcff5, - 0x6a3f, 0xcfed, 0x6a36, 0xcfe5, 0x6a2c, 0xcfdc, 0x6a23, 0xcfd4, - 0x6a1a, 0xcfcc, 0x6a10, 0xcfc4, 0x6a07, 0xcfbb, 0x69fd, 0xcfb3, - 0x69f4, 0xcfab, 0x69ea, 0xcfa3, 0x69e1, 0xcf9a, 0x69d7, 0xcf92, - 0x69ce, 0xcf8a, 0x69c4, 0xcf82, 0x69bb, 0xcf79, 0x69b1, 0xcf71, - 0x69a7, 0xcf69, 0x699e, 0xcf61, 0x6994, 0xcf59, 0x698b, 0xcf51, - 0x6981, 0xcf48, 0x6978, 0xcf40, 0x696e, 0xcf38, 0x6965, 0xcf30, - 0x695b, 0xcf28, 0x6951, 0xcf20, 0x6948, 0xcf18, 0x693e, 0xcf10, - 0x6935, 0xcf07, 0x692b, 0xceff, 0x6921, 0xcef7, 0x6918, 0xceef, - 0x690e, 0xcee7, 0x6904, 0xcedf, 0x68fb, 0xced7, 0x68f1, 0xcecf, - 0x68e7, 0xcec7, 0x68de, 0xcebf, 0x68d4, 0xceb7, 0x68ca, 0xceaf, - 0x68c1, 0xcea7, 0x68b7, 0xce9f, 0x68ad, 0xce97, 0x68a4, 0xce8f, - 0x689a, 0xce87, 0x6890, 0xce7f, 0x6886, 0xce77, 0x687d, 0xce6f, - 0x6873, 0xce67, 0x6869, 0xce5f, 0x6860, 0xce57, 0x6856, 0xce4f, - 0x684c, 0xce47, 0x6842, 0xce40, 0x6838, 0xce38, 0x682f, 0xce30, - 0x6825, 0xce28, 0x681b, 0xce20, 0x6811, 0xce18, 0x6808, 0xce10, - 0x67fe, 0xce08, 0x67f4, 0xce01, 0x67ea, 0xcdf9, 0x67e0, 0xcdf1, - 0x67d6, 0xcde9, 0x67cd, 0xcde1, 0x67c3, 0xcdd9, 0x67b9, 0xcdd2, - 0x67af, 0xcdca, 0x67a5, 0xcdc2, 0x679b, 0xcdba, 0x6791, 0xcdb2, - 0x6788, 0xcdab, 0x677e, 0xcda3, 0x6774, 0xcd9b, 0x676a, 0xcd93, - 0x6760, 0xcd8c, 0x6756, 0xcd84, 0x674c, 0xcd7c, 0x6742, 0xcd75, - 0x6738, 0xcd6d, 0x672e, 0xcd65, 0x6724, 0xcd5d, 0x671a, 0xcd56, - 0x6711, 0xcd4e, 0x6707, 0xcd46, 0x66fd, 0xcd3f, 0x66f3, 0xcd37, - 0x66e9, 0xcd30, 0x66df, 0xcd28, 0x66d5, 0xcd20, 0x66cb, 0xcd19, - 0x66c1, 0xcd11, 0x66b7, 0xcd09, 0x66ad, 0xcd02, 0x66a3, 0xccfa, - 0x6699, 0xccf3, 0x668f, 0xcceb, 0x6685, 0xcce3, 0x667b, 0xccdc, - 0x6671, 0xccd4, 0x6666, 0xcccd, 0x665c, 0xccc5, 0x6652, 0xccbe, - 0x6648, 0xccb6, 0x663e, 0xccaf, 0x6634, 0xcca7, 0x662a, 0xcca0, - 0x6620, 0xcc98, 0x6616, 0xcc91, 0x660c, 0xcc89, 0x6602, 0xcc82, - 0x65f8, 0xcc7a, 0x65ed, 0xcc73, 0x65e3, 0xcc6b, 0x65d9, 0xcc64, - 0x65cf, 0xcc5d, 0x65c5, 0xcc55, 0x65bb, 0xcc4e, 0x65b1, 0xcc46, - 0x65a6, 0xcc3f, 0x659c, 0xcc38, 0x6592, 0xcc30, 0x6588, 0xcc29, - 0x657e, 0xcc21, 0x6574, 0xcc1a, 0x6569, 0xcc13, 0x655f, 0xcc0b, - 0x6555, 0xcc04, 0x654b, 0xcbfd, 0x6541, 0xcbf5, 0x6536, 0xcbee, - 0x652c, 0xcbe7, 0x6522, 0xcbe0, 0x6518, 0xcbd8, 0x650d, 0xcbd1, - 0x6503, 0xcbca, 0x64f9, 0xcbc2, 0x64ef, 0xcbbb, 0x64e4, 0xcbb4, - 0x64da, 0xcbad, 0x64d0, 0xcba5, 0x64c5, 0xcb9e, 0x64bb, 0xcb97, - 0x64b1, 0xcb90, 0x64a7, 0xcb89, 0x649c, 0xcb81, 0x6492, 0xcb7a, - 0x6488, 0xcb73, 0x647d, 0xcb6c, 0x6473, 0xcb65, 0x6469, 0xcb5e, - 0x645e, 0xcb56, 0x6454, 0xcb4f, 0x644a, 0xcb48, 0x643f, 0xcb41, - 0x6435, 0xcb3a, 0x642b, 0xcb33, 0x6420, 0xcb2c, 0x6416, 0xcb25, - 0x640b, 0xcb1e, 0x6401, 0xcb16, 0x63f7, 0xcb0f, 0x63ec, 0xcb08, - 0x63e2, 0xcb01, 0x63d7, 0xcafa, 0x63cd, 0xcaf3, 0x63c3, 0xcaec, - 0x63b8, 0xcae5, 0x63ae, 0xcade, 0x63a3, 0xcad7, 0x6399, 0xcad0, - 0x638e, 0xcac9, 0x6384, 0xcac2, 0x637a, 0xcabb, 0x636f, 0xcab4, - 0x6365, 0xcaad, 0x635a, 0xcaa6, 0x6350, 0xca9f, 0x6345, 0xca99, - 0x633b, 0xca92, 0x6330, 0xca8b, 0x6326, 0xca84, 0x631b, 0xca7d, - 0x6311, 0xca76, 0x6306, 0xca6f, 0x62fc, 0xca68, 0x62f1, 0xca61, - 0x62e7, 0xca5b, 0x62dc, 0xca54, 0x62d2, 0xca4d, 0x62c7, 0xca46, - 0x62bc, 0xca3f, 0x62b2, 0xca38, 0x62a7, 0xca32, 0x629d, 0xca2b, - 0x6292, 0xca24, 0x6288, 0xca1d, 0x627d, 0xca16, 0x6272, 0xca10, - 0x6268, 0xca09, 0x625d, 0xca02, 0x6253, 0xc9fb, 0x6248, 0xc9f5, - 0x623d, 0xc9ee, 0x6233, 0xc9e7, 0x6228, 0xc9e0, 0x621e, 0xc9da, - 0x6213, 0xc9d3, 0x6208, 0xc9cc, 0x61fe, 0xc9c6, 0x61f3, 0xc9bf, - 0x61e8, 0xc9b8, 0x61de, 0xc9b2, 0x61d3, 0xc9ab, 0x61c8, 0xc9a4, - 0x61be, 0xc99e, 0x61b3, 0xc997, 0x61a8, 0xc991, 0x619e, 0xc98a, - 0x6193, 0xc983, 0x6188, 0xc97d, 0x617d, 0xc976, 0x6173, 0xc970, - 0x6168, 0xc969, 0x615d, 0xc963, 0x6153, 0xc95c, 0x6148, 0xc955, - 0x613d, 0xc94f, 0x6132, 0xc948, 0x6128, 0xc942, 0x611d, 0xc93b, - 0x6112, 0xc935, 0x6107, 0xc92e, 0x60fd, 0xc928, 0x60f2, 0xc921, - 0x60e7, 0xc91b, 0x60dc, 0xc915, 0x60d1, 0xc90e, 0x60c7, 0xc908, - 0x60bc, 0xc901, 0x60b1, 0xc8fb, 0x60a6, 0xc8f4, 0x609b, 0xc8ee, - 0x6091, 0xc8e8, 0x6086, 0xc8e1, 0x607b, 0xc8db, 0x6070, 0xc8d4, - 0x6065, 0xc8ce, 0x605b, 0xc8c8, 0x6050, 0xc8c1, 0x6045, 0xc8bb, - 0x603a, 0xc8b5, 0x602f, 0xc8ae, 0x6024, 0xc8a8, 0x6019, 0xc8a2, - 0x600f, 0xc89b, 0x6004, 0xc895, 0x5ff9, 0xc88f, 0x5fee, 0xc889, - 0x5fe3, 0xc882, 0x5fd8, 0xc87c, 0x5fcd, 0xc876, 0x5fc2, 0xc870, - 0x5fb7, 0xc869, 0x5fac, 0xc863, 0x5fa2, 0xc85d, 0x5f97, 0xc857, - 0x5f8c, 0xc850, 0x5f81, 0xc84a, 0x5f76, 0xc844, 0x5f6b, 0xc83e, - 0x5f60, 0xc838, 0x5f55, 0xc832, 0x5f4a, 0xc82b, 0x5f3f, 0xc825, - 0x5f34, 0xc81f, 0x5f29, 0xc819, 0x5f1e, 0xc813, 0x5f13, 0xc80d, - 0x5f08, 0xc807, 0x5efd, 0xc801, 0x5ef2, 0xc7fb, 0x5ee7, 0xc7f5, - 0x5edc, 0xc7ee, 0x5ed1, 0xc7e8, 0x5ec6, 0xc7e2, 0x5ebb, 0xc7dc, - 0x5eb0, 0xc7d6, 0x5ea5, 0xc7d0, 0x5e9a, 0xc7ca, 0x5e8f, 0xc7c4, - 0x5e84, 0xc7be, 0x5e79, 0xc7b8, 0x5e6e, 0xc7b2, 0x5e63, 0xc7ac, - 0x5e58, 0xc7a6, 0x5e4d, 0xc7a0, 0x5e42, 0xc79a, 0x5e36, 0xc795, - 0x5e2b, 0xc78f, 0x5e20, 0xc789, 0x5e15, 0xc783, 0x5e0a, 0xc77d, - 0x5dff, 0xc777, 0x5df4, 0xc771, 0x5de9, 0xc76b, 0x5dde, 0xc765, - 0x5dd3, 0xc75f, 0x5dc7, 0xc75a, 0x5dbc, 0xc754, 0x5db1, 0xc74e, - 0x5da6, 0xc748, 0x5d9b, 0xc742, 0x5d90, 0xc73d, 0x5d85, 0xc737, - 0x5d79, 0xc731, 0x5d6e, 0xc72b, 0x5d63, 0xc725, 0x5d58, 0xc720, - 0x5d4d, 0xc71a, 0x5d42, 0xc714, 0x5d36, 0xc70e, 0x5d2b, 0xc709, - 0x5d20, 0xc703, 0x5d15, 0xc6fd, 0x5d0a, 0xc6f7, 0x5cff, 0xc6f2, - 0x5cf3, 0xc6ec, 0x5ce8, 0xc6e6, 0x5cdd, 0xc6e1, 0x5cd2, 0xc6db, - 0x5cc6, 0xc6d5, 0x5cbb, 0xc6d0, 0x5cb0, 0xc6ca, 0x5ca5, 0xc6c5, - 0x5c99, 0xc6bf, 0x5c8e, 0xc6b9, 0x5c83, 0xc6b4, 0x5c78, 0xc6ae, - 0x5c6c, 0xc6a8, 0x5c61, 0xc6a3, 0x5c56, 0xc69d, 0x5c4b, 0xc698, - 0x5c3f, 0xc692, 0x5c34, 0xc68d, 0x5c29, 0xc687, 0x5c1e, 0xc682, - 0x5c12, 0xc67c, 0x5c07, 0xc677, 0x5bfc, 0xc671, 0x5bf0, 0xc66c, - 0x5be5, 0xc666, 0x5bda, 0xc661, 0x5bce, 0xc65b, 0x5bc3, 0xc656, - 0x5bb8, 0xc650, 0x5bac, 0xc64b, 0x5ba1, 0xc645, 0x5b96, 0xc640, - 0x5b8a, 0xc63b, 0x5b7f, 0xc635, 0x5b74, 0xc630, 0x5b68, 0xc62a, - 0x5b5d, 0xc625, 0x5b52, 0xc620, 0x5b46, 0xc61a, 0x5b3b, 0xc615, - 0x5b30, 0xc610, 0x5b24, 0xc60a, 0x5b19, 0xc605, 0x5b0d, 0xc600, - 0x5b02, 0xc5fa, 0x5af7, 0xc5f5, 0x5aeb, 0xc5f0, 0x5ae0, 0xc5ea, - 0x5ad4, 0xc5e5, 0x5ac9, 0xc5e0, 0x5abe, 0xc5db, 0x5ab2, 0xc5d5, - 0x5aa7, 0xc5d0, 0x5a9b, 0xc5cb, 0x5a90, 0xc5c6, 0x5a84, 0xc5c1, - 0x5a79, 0xc5bb, 0x5a6e, 0xc5b6, 0x5a62, 0xc5b1, 0x5a57, 0xc5ac, - 0x5a4b, 0xc5a7, 0x5a40, 0xc5a1, 0x5a34, 0xc59c, 0x5a29, 0xc597, - 0x5a1d, 0xc592, 0x5a12, 0xc58d, 0x5a06, 0xc588, 0x59fb, 0xc583, - 0x59ef, 0xc57e, 0x59e4, 0xc578, 0x59d8, 0xc573, 0x59cd, 0xc56e, - 0x59c1, 0xc569, 0x59b6, 0xc564, 0x59aa, 0xc55f, 0x599f, 0xc55a, - 0x5993, 0xc555, 0x5988, 0xc550, 0x597c, 0xc54b, 0x5971, 0xc546, - 0x5965, 0xc541, 0x595a, 0xc53c, 0x594e, 0xc537, 0x5943, 0xc532, - 0x5937, 0xc52d, 0x592c, 0xc528, 0x5920, 0xc523, 0x5914, 0xc51e, - 0x5909, 0xc51a, 0x58fd, 0xc515, 0x58f2, 0xc510, 0x58e6, 0xc50b, - 0x58db, 0xc506, 0x58cf, 0xc501, 0x58c3, 0xc4fc, 0x58b8, 0xc4f7, - 0x58ac, 0xc4f2, 0x58a1, 0xc4ee, 0x5895, 0xc4e9, 0x5889, 0xc4e4, - 0x587e, 0xc4df, 0x5872, 0xc4da, 0x5867, 0xc4d6, 0x585b, 0xc4d1, - 0x584f, 0xc4cc, 0x5844, 0xc4c7, 0x5838, 0xc4c2, 0x582d, 0xc4be, - 0x5821, 0xc4b9, 0x5815, 0xc4b4, 0x580a, 0xc4b0, 0x57fe, 0xc4ab, - 0x57f2, 0xc4a6, 0x57e7, 0xc4a1, 0x57db, 0xc49d, 0x57cf, 0xc498, - 0x57c4, 0xc493, 0x57b8, 0xc48f, 0x57ac, 0xc48a, 0x57a1, 0xc485, - 0x5795, 0xc481, 0x5789, 0xc47c, 0x577e, 0xc478, 0x5772, 0xc473, - 0x5766, 0xc46e, 0x575b, 0xc46a, 0x574f, 0xc465, 0x5743, 0xc461, - 0x5737, 0xc45c, 0x572c, 0xc457, 0x5720, 0xc453, 0x5714, 0xc44e, - 0x5709, 0xc44a, 0x56fd, 0xc445, 0x56f1, 0xc441, 0x56e5, 0xc43c, - 0x56da, 0xc438, 0x56ce, 0xc433, 0x56c2, 0xc42f, 0x56b6, 0xc42a, - 0x56ab, 0xc426, 0x569f, 0xc422, 0x5693, 0xc41d, 0x5687, 0xc419, - 0x567c, 0xc414, 0x5670, 0xc410, 0x5664, 0xc40b, 0x5658, 0xc407, - 0x564c, 0xc403, 0x5641, 0xc3fe, 0x5635, 0xc3fa, 0x5629, 0xc3f6, - 0x561d, 0xc3f1, 0x5612, 0xc3ed, 0x5606, 0xc3e9, 0x55fa, 0xc3e4, - 0x55ee, 0xc3e0, 0x55e2, 0xc3dc, 0x55d7, 0xc3d7, 0x55cb, 0xc3d3, - 0x55bf, 0xc3cf, 0x55b3, 0xc3ca, 0x55a7, 0xc3c6, 0x559b, 0xc3c2, - 0x5590, 0xc3be, 0x5584, 0xc3ba, 0x5578, 0xc3b5, 0x556c, 0xc3b1, - 0x5560, 0xc3ad, 0x5554, 0xc3a9, 0x5549, 0xc3a5, 0x553d, 0xc3a0, - 0x5531, 0xc39c, 0x5525, 0xc398, 0x5519, 0xc394, 0x550d, 0xc390, - 0x5501, 0xc38c, 0x54f6, 0xc387, 0x54ea, 0xc383, 0x54de, 0xc37f, - 0x54d2, 0xc37b, 0x54c6, 0xc377, 0x54ba, 0xc373, 0x54ae, 0xc36f, - 0x54a2, 0xc36b, 0x5496, 0xc367, 0x548b, 0xc363, 0x547f, 0xc35f, - 0x5473, 0xc35b, 0x5467, 0xc357, 0x545b, 0xc353, 0x544f, 0xc34f, - 0x5443, 0xc34b, 0x5437, 0xc347, 0x542b, 0xc343, 0x541f, 0xc33f, - 0x5413, 0xc33b, 0x5407, 0xc337, 0x53fb, 0xc333, 0x53f0, 0xc32f, - 0x53e4, 0xc32b, 0x53d8, 0xc327, 0x53cc, 0xc323, 0x53c0, 0xc320, - 0x53b4, 0xc31c, 0x53a8, 0xc318, 0x539c, 0xc314, 0x5390, 0xc310, - 0x5384, 0xc30c, 0x5378, 0xc308, 0x536c, 0xc305, 0x5360, 0xc301, - 0x5354, 0xc2fd, 0x5348, 0xc2f9, 0x533c, 0xc2f5, 0x5330, 0xc2f2, - 0x5324, 0xc2ee, 0x5318, 0xc2ea, 0x530c, 0xc2e6, 0x5300, 0xc2e3, - 0x52f4, 0xc2df, 0x52e8, 0xc2db, 0x52dc, 0xc2d8, 0x52d0, 0xc2d4, - 0x52c4, 0xc2d0, 0x52b8, 0xc2cc, 0x52ac, 0xc2c9, 0x52a0, 0xc2c5, - 0x5294, 0xc2c1, 0x5288, 0xc2be, 0x527c, 0xc2ba, 0x5270, 0xc2b7, - 0x5264, 0xc2b3, 0x5258, 0xc2af, 0x524c, 0xc2ac, 0x5240, 0xc2a8, - 0x5234, 0xc2a5, 0x5228, 0xc2a1, 0x521c, 0xc29d, 0x5210, 0xc29a, - 0x5204, 0xc296, 0x51f7, 0xc293, 0x51eb, 0xc28f, 0x51df, 0xc28c, - 0x51d3, 0xc288, 0x51c7, 0xc285, 0x51bb, 0xc281, 0x51af, 0xc27e, - 0x51a3, 0xc27a, 0x5197, 0xc277, 0x518b, 0xc273, 0x517f, 0xc270, - 0x5173, 0xc26d, 0x5167, 0xc269, 0x515a, 0xc266, 0x514e, 0xc262, - 0x5142, 0xc25f, 0x5136, 0xc25c, 0x512a, 0xc258, 0x511e, 0xc255, - 0x5112, 0xc251, 0x5106, 0xc24e, 0x50fa, 0xc24b, 0x50ed, 0xc247, - 0x50e1, 0xc244, 0x50d5, 0xc241, 0x50c9, 0xc23e, 0x50bd, 0xc23a, - 0x50b1, 0xc237, 0x50a5, 0xc234, 0x5099, 0xc230, 0x508c, 0xc22d, - 0x5080, 0xc22a, 0x5074, 0xc227, 0x5068, 0xc223, 0x505c, 0xc220, - 0x5050, 0xc21d, 0x5044, 0xc21a, 0x5037, 0xc217, 0x502b, 0xc213, - 0x501f, 0xc210, 0x5013, 0xc20d, 0x5007, 0xc20a, 0x4ffb, 0xc207, - 0x4fee, 0xc204, 0x4fe2, 0xc201, 0x4fd6, 0xc1fd, 0x4fca, 0xc1fa, - 0x4fbe, 0xc1f7, 0x4fb2, 0xc1f4, 0x4fa5, 0xc1f1, 0x4f99, 0xc1ee, - 0x4f8d, 0xc1eb, 0x4f81, 0xc1e8, 0x4f75, 0xc1e5, 0x4f68, 0xc1e2, - 0x4f5c, 0xc1df, 0x4f50, 0xc1dc, 0x4f44, 0xc1d9, 0x4f38, 0xc1d6, - 0x4f2b, 0xc1d3, 0x4f1f, 0xc1d0, 0x4f13, 0xc1cd, 0x4f07, 0xc1ca, - 0x4efb, 0xc1c7, 0x4eee, 0xc1c4, 0x4ee2, 0xc1c1, 0x4ed6, 0xc1be, - 0x4eca, 0xc1bb, 0x4ebd, 0xc1b8, 0x4eb1, 0xc1b6, 0x4ea5, 0xc1b3, - 0x4e99, 0xc1b0, 0x4e8c, 0xc1ad, 0x4e80, 0xc1aa, 0x4e74, 0xc1a7, - 0x4e68, 0xc1a4, 0x4e5c, 0xc1a2, 0x4e4f, 0xc19f, 0x4e43, 0xc19c, - 0x4e37, 0xc199, 0x4e2b, 0xc196, 0x4e1e, 0xc194, 0x4e12, 0xc191, - 0x4e06, 0xc18e, 0x4df9, 0xc18b, 0x4ded, 0xc189, 0x4de1, 0xc186, - 0x4dd5, 0xc183, 0x4dc8, 0xc180, 0x4dbc, 0xc17e, 0x4db0, 0xc17b, - 0x4da4, 0xc178, 0x4d97, 0xc176, 0x4d8b, 0xc173, 0x4d7f, 0xc170, - 0x4d72, 0xc16e, 0x4d66, 0xc16b, 0x4d5a, 0xc168, 0x4d4e, 0xc166, - 0x4d41, 0xc163, 0x4d35, 0xc161, 0x4d29, 0xc15e, 0x4d1c, 0xc15b, - 0x4d10, 0xc159, 0x4d04, 0xc156, 0x4cf8, 0xc154, 0x4ceb, 0xc151, - 0x4cdf, 0xc14f, 0x4cd3, 0xc14c, 0x4cc6, 0xc14a, 0x4cba, 0xc147, - 0x4cae, 0xc145, 0x4ca1, 0xc142, 0x4c95, 0xc140, 0x4c89, 0xc13d, - 0x4c7c, 0xc13b, 0x4c70, 0xc138, 0x4c64, 0xc136, 0x4c57, 0xc134, - 0x4c4b, 0xc131, 0x4c3f, 0xc12f, 0x4c32, 0xc12c, 0x4c26, 0xc12a, - 0x4c1a, 0xc128, 0x4c0d, 0xc125, 0x4c01, 0xc123, 0x4bf5, 0xc120, - 0x4be8, 0xc11e, 0x4bdc, 0xc11c, 0x4bd0, 0xc119, 0x4bc3, 0xc117, - 0x4bb7, 0xc115, 0x4bab, 0xc113, 0x4b9e, 0xc110, 0x4b92, 0xc10e, - 0x4b85, 0xc10c, 0x4b79, 0xc109, 0x4b6d, 0xc107, 0x4b60, 0xc105, - 0x4b54, 0xc103, 0x4b48, 0xc100, 0x4b3b, 0xc0fe, 0x4b2f, 0xc0fc, - 0x4b23, 0xc0fa, 0x4b16, 0xc0f8, 0x4b0a, 0xc0f6, 0x4afd, 0xc0f3, - 0x4af1, 0xc0f1, 0x4ae5, 0xc0ef, 0x4ad8, 0xc0ed, 0x4acc, 0xc0eb, - 0x4ac0, 0xc0e9, 0x4ab3, 0xc0e7, 0x4aa7, 0xc0e4, 0x4a9a, 0xc0e2, - 0x4a8e, 0xc0e0, 0x4a82, 0xc0de, 0x4a75, 0xc0dc, 0x4a69, 0xc0da, - 0x4a5c, 0xc0d8, 0x4a50, 0xc0d6, 0x4a44, 0xc0d4, 0x4a37, 0xc0d2, - 0x4a2b, 0xc0d0, 0x4a1e, 0xc0ce, 0x4a12, 0xc0cc, 0x4a06, 0xc0ca, - 0x49f9, 0xc0c8, 0x49ed, 0xc0c6, 0x49e0, 0xc0c4, 0x49d4, 0xc0c2, - 0x49c7, 0xc0c0, 0x49bb, 0xc0be, 0x49af, 0xc0bd, 0x49a2, 0xc0bb, - 0x4996, 0xc0b9, 0x4989, 0xc0b7, 0x497d, 0xc0b5, 0x4970, 0xc0b3, - 0x4964, 0xc0b1, 0x4958, 0xc0af, 0x494b, 0xc0ae, 0x493f, 0xc0ac, - 0x4932, 0xc0aa, 0x4926, 0xc0a8, 0x4919, 0xc0a6, 0x490d, 0xc0a5, - 0x4901, 0xc0a3, 0x48f4, 0xc0a1, 0x48e8, 0xc09f, 0x48db, 0xc09e, - 0x48cf, 0xc09c, 0x48c2, 0xc09a, 0x48b6, 0xc098, 0x48a9, 0xc097, - 0x489d, 0xc095, 0x4891, 0xc093, 0x4884, 0xc092, 0x4878, 0xc090, - 0x486b, 0xc08e, 0x485f, 0xc08d, 0x4852, 0xc08b, 0x4846, 0xc089, - 0x4839, 0xc088, 0x482d, 0xc086, 0x4820, 0xc085, 0x4814, 0xc083, - 0x4807, 0xc081, 0x47fb, 0xc080, 0x47ef, 0xc07e, 0x47e2, 0xc07d, - 0x47d6, 0xc07b, 0x47c9, 0xc07a, 0x47bd, 0xc078, 0x47b0, 0xc077, - 0x47a4, 0xc075, 0x4797, 0xc074, 0x478b, 0xc072, 0x477e, 0xc071, - 0x4772, 0xc06f, 0x4765, 0xc06e, 0x4759, 0xc06c, 0x474c, 0xc06b, - 0x4740, 0xc069, 0x4733, 0xc068, 0x4727, 0xc067, 0x471a, 0xc065, - 0x470e, 0xc064, 0x4701, 0xc062, 0x46f5, 0xc061, 0x46e8, 0xc060, - 0x46dc, 0xc05e, 0x46cf, 0xc05d, 0x46c3, 0xc05c, 0x46b6, 0xc05a, - 0x46aa, 0xc059, 0x469d, 0xc058, 0x4691, 0xc056, 0x4684, 0xc055, - 0x4678, 0xc054, 0x466b, 0xc053, 0x465f, 0xc051, 0x4652, 0xc050, - 0x4646, 0xc04f, 0x4639, 0xc04e, 0x462d, 0xc04c, 0x4620, 0xc04b, - 0x4614, 0xc04a, 0x4607, 0xc049, 0x45fb, 0xc048, 0x45ee, 0xc047, - 0x45e2, 0xc045, 0x45d5, 0xc044, 0x45c9, 0xc043, 0x45bc, 0xc042, - 0x45b0, 0xc041, 0x45a3, 0xc040, 0x4597, 0xc03f, 0x458a, 0xc03d, - 0x457e, 0xc03c, 0x4571, 0xc03b, 0x4565, 0xc03a, 0x4558, 0xc039, - 0x454c, 0xc038, 0x453f, 0xc037, 0x4533, 0xc036, 0x4526, 0xc035, - 0x451a, 0xc034, 0x450d, 0xc033, 0x4500, 0xc032, 0x44f4, 0xc031, - 0x44e7, 0xc030, 0x44db, 0xc02f, 0x44ce, 0xc02e, 0x44c2, 0xc02d, - 0x44b5, 0xc02c, 0x44a9, 0xc02b, 0x449c, 0xc02b, 0x4490, 0xc02a, - 0x4483, 0xc029, 0x4477, 0xc028, 0x446a, 0xc027, 0x445e, 0xc026, - 0x4451, 0xc025, 0x4444, 0xc024, 0x4438, 0xc024, 0x442b, 0xc023, - 0x441f, 0xc022, 0x4412, 0xc021, 0x4406, 0xc020, 0x43f9, 0xc020, - 0x43ed, 0xc01f, 0x43e0, 0xc01e, 0x43d4, 0xc01d, 0x43c7, 0xc01d, - 0x43bb, 0xc01c, 0x43ae, 0xc01b, 0x43a1, 0xc01a, 0x4395, 0xc01a, - 0x4388, 0xc019, 0x437c, 0xc018, 0x436f, 0xc018, 0x4363, 0xc017, - 0x4356, 0xc016, 0x434a, 0xc016, 0x433d, 0xc015, 0x4330, 0xc014, - 0x4324, 0xc014, 0x4317, 0xc013, 0x430b, 0xc013, 0x42fe, 0xc012, - 0x42f2, 0xc011, 0x42e5, 0xc011, 0x42d9, 0xc010, 0x42cc, 0xc010, - 0x42c0, 0xc00f, 0x42b3, 0xc00f, 0x42a6, 0xc00e, 0x429a, 0xc00e, - 0x428d, 0xc00d, 0x4281, 0xc00d, 0x4274, 0xc00c, 0x4268, 0xc00c, - 0x425b, 0xc00b, 0x424e, 0xc00b, 0x4242, 0xc00a, 0x4235, 0xc00a, - 0x4229, 0xc009, 0x421c, 0xc009, 0x4210, 0xc009, 0x4203, 0xc008, - 0x41f7, 0xc008, 0x41ea, 0xc007, 0x41dd, 0xc007, 0x41d1, 0xc007, - 0x41c4, 0xc006, 0x41b8, 0xc006, 0x41ab, 0xc006, 0x419f, 0xc005, - 0x4192, 0xc005, 0x4186, 0xc005, 0x4179, 0xc004, 0x416c, 0xc004, - 0x4160, 0xc004, 0x4153, 0xc004, 0x4147, 0xc003, 0x413a, 0xc003, - 0x412e, 0xc003, 0x4121, 0xc003, 0x4114, 0xc002, 0x4108, 0xc002, - 0x40fb, 0xc002, 0x40ef, 0xc002, 0x40e2, 0xc002, 0x40d6, 0xc001, - 0x40c9, 0xc001, 0x40bc, 0xc001, 0x40b0, 0xc001, 0x40a3, 0xc001, - 0x4097, 0xc001, 0x408a, 0xc001, 0x407e, 0xc000, 0x4071, 0xc000, - 0x4065, 0xc000, 0x4058, 0xc000, 0x404b, 0xc000, 0x403f, 0xc000, - 0x4032, 0xc000, 0x4026, 0xc000, 0x4019, 0xc000, 0x400d, 0xc000, -}; - -/** -* @brief Initialization function for the Q15 RFFT/RIFFT. -* @param[in, out] *S points to an instance of the Q15 RFFT/RIFFT structure. -* @param[in] *S_CFFT points to an instance of the Q15 CFFT/CIFFT structure. -* @param[in] fftLenReal length of the FFT. -* @param[in] ifftFlagR flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. -* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. -* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported value. -* -* \par Description: -* \par -* The parameter <code>fftLenReal</code> Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048. -* \par -* The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed. -* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. -* \par -* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. -* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. -* \par -* This function also initializes Twiddle factor table. -*/ - -arm_status arm_rfft_init_q15( - arm_rfft_instance_q15 * S, - arm_cfft_radix4_instance_q15 * S_CFFT, - uint32_t fftLenReal, - uint32_t ifftFlagR, - uint32_t bitReverseFlag) -{ - - /* Initialise the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - - /* Initialize the Real FFT length */ - S->fftLenReal = (uint16_t) fftLenReal; - - /* Initialize the Complex FFT length */ - S->fftLenBy2 = (uint16_t) fftLenReal / 2u; - - /* Initialize the Twiddle coefficientA pointer */ - S->pTwiddleAReal = (q15_t *) realCoefAQ15; - - /* Initialize the Twiddle coefficientB pointer */ - S->pTwiddleBReal = (q15_t *) realCoefBQ15; - - /* Initialize the Flag for selection of RFFT or RIFFT */ - S->ifftFlagR = (uint8_t) ifftFlagR; - - /* Initialize the Flag for calculation Bit reversal or not */ - S->bitReverseFlagR = (uint8_t) bitReverseFlag; - - /* Initialization of coef modifier depending on the FFT length */ - switch (S->fftLenReal) - { - case 8192: - S->twidCoefRModifier = 1u; - break; - case 2048u: - S->twidCoefRModifier = 4u; - break; - case 512u: - S->twidCoefRModifier = 16u; - break; - case 128u: - S->twidCoefRModifier = 64u; - break; - default: - /* Reporting argument error if rfftSize is not valid value */ - status = ARM_MATH_ARGUMENT_ERROR; - break; - } - - /* Init Complex FFT Instance */ - S->pCfft = S_CFFT; - - if(S->ifftFlagR) - { - /* Initializes the CIFFT Module for fftLenreal/2 length */ - arm_cfft_radix4_init_q15(S->pCfft, S->fftLenBy2, 1u, 1u); - } - else - { - /* Initializes the CFFT Module for fftLenreal/2 length */ - arm_cfft_radix4_init_q15(S->pCfft, S->fftLenBy2, 0u, 1u); - } - - /* return the status of RFFT Init function */ - return (status); - -} - - /** - * @} end of RealFFT group - */
--- a/cmsis_dsp/TransformFunctions/arm_rfft_init_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,4279 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_rfft_init_q31.c -* -* Description: RFFT & RIFFT Q31 initialisation function -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -/** - * @ingroup groupTransforms - */ - -/** - * @addtogroup RealFFT - * @{ - */ - -/** -* \par -* Generation floating point realCoefAQ31 array: -* \par -* n = 4096 -* <pre>for (i = 0; i < n; i++) -* { -* pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i)); -* pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i)); -* }</pre> -* \par -* Convert to fixed point Q31 format -* round(pATable[i] * pow(2, 31)) -*/ - - -static const q31_t realCoefAQ31[8192] = { - 0x40000000, 0xc0000000, 0x3ff36f02, 0xc000013c, - 0x3fe6de05, 0xc00004ef, 0x3fda4d09, 0xc0000b1a, - 0x3fcdbc0f, 0xc00013bd, 0x3fc12b16, 0xc0001ed8, - 0x3fb49a1f, 0xc0002c6a, 0x3fa8092c, 0xc0003c74, - 0x3f9b783c, 0xc0004ef5, 0x3f8ee750, 0xc00063ee, - 0x3f825668, 0xc0007b5f, 0x3f75c585, 0xc0009547, - 0x3f6934a8, 0xc000b1a7, 0x3f5ca3d0, 0xc000d07e, - 0x3f5012fe, 0xc000f1ce, 0x3f438234, 0xc0011594, - 0x3f36f170, 0xc0013bd3, 0x3f2a60b4, 0xc0016489, - 0x3f1dd001, 0xc0018fb6, 0x3f113f56, 0xc001bd5c, - 0x3f04aeb5, 0xc001ed78, 0x3ef81e1d, 0xc002200d, - 0x3eeb8d8f, 0xc0025519, 0x3edefd0c, 0xc0028c9c, - 0x3ed26c94, 0xc002c697, 0x3ec5dc28, 0xc003030a, - 0x3eb94bc8, 0xc00341f4, 0x3eacbb74, 0xc0038356, - 0x3ea02b2e, 0xc003c72f, 0x3e939af5, 0xc0040d80, - 0x3e870aca, 0xc0045648, 0x3e7a7aae, 0xc004a188, - 0x3e6deaa1, 0xc004ef3f, 0x3e615aa3, 0xc0053f6e, - 0x3e54cab5, 0xc0059214, 0x3e483ad8, 0xc005e731, - 0x3e3bab0b, 0xc0063ec6, 0x3e2f1b50, 0xc00698d3, - 0x3e228ba7, 0xc006f556, 0x3e15fc11, 0xc0075452, - 0x3e096c8d, 0xc007b5c4, 0x3dfcdd1d, 0xc00819ae, - 0x3df04dc0, 0xc008800f, 0x3de3be78, 0xc008e8e8, - 0x3dd72f45, 0xc0095438, 0x3dcaa027, 0xc009c1ff, - 0x3dbe111e, 0xc00a323d, 0x3db1822c, 0xc00aa4f3, - 0x3da4f351, 0xc00b1a20, 0x3d98648d, 0xc00b91c4, - 0x3d8bd5e1, 0xc00c0be0, 0x3d7f474d, 0xc00c8872, - 0x3d72b8d2, 0xc00d077c, 0x3d662a70, 0xc00d88fd, - 0x3d599c28, 0xc00e0cf5, 0x3d4d0df9, 0xc00e9364, - 0x3d407fe6, 0xc00f1c4a, 0x3d33f1ed, 0xc00fa7a8, - 0x3d276410, 0xc010357c, 0x3d1ad650, 0xc010c5c7, - 0x3d0e48ab, 0xc011588a, 0x3d01bb24, 0xc011edc3, - 0x3cf52dbb, 0xc0128574, 0x3ce8a06f, 0xc0131f9b, - 0x3cdc1342, 0xc013bc39, 0x3ccf8634, 0xc0145b4e, - 0x3cc2f945, 0xc014fcda, 0x3cb66c77, 0xc015a0dd, - 0x3ca9dfc8, 0xc0164757, 0x3c9d533b, 0xc016f047, - 0x3c90c6cf, 0xc0179bae, 0x3c843a85, 0xc018498c, - 0x3c77ae5e, 0xc018f9e1, 0x3c6b2259, 0xc019acac, - 0x3c5e9678, 0xc01a61ee, 0x3c520aba, 0xc01b19a7, - 0x3c457f21, 0xc01bd3d6, 0x3c38f3ac, 0xc01c907c, - 0x3c2c685d, 0xc01d4f99, 0x3c1fdd34, 0xc01e112b, - 0x3c135231, 0xc01ed535, 0x3c06c754, 0xc01f9bb5, - 0x3bfa3c9f, 0xc02064ab, 0x3bedb212, 0xc0213018, - 0x3be127ac, 0xc021fdfb, 0x3bd49d70, 0xc022ce54, - 0x3bc8135c, 0xc023a124, 0x3bbb8973, 0xc024766a, - 0x3baeffb3, 0xc0254e27, 0x3ba2761e, 0xc0262859, - 0x3b95ecb4, 0xc0270502, 0x3b896375, 0xc027e421, - 0x3b7cda63, 0xc028c5b6, 0x3b70517d, 0xc029a9c1, - 0x3b63c8c4, 0xc02a9042, 0x3b574039, 0xc02b7939, - 0x3b4ab7db, 0xc02c64a6, 0x3b3e2fac, 0xc02d5289, - 0x3b31a7ac, 0xc02e42e2, 0x3b251fdc, 0xc02f35b1, - 0x3b18983b, 0xc0302af5, 0x3b0c10cb, 0xc03122b0, - 0x3aff898c, 0xc0321ce0, 0x3af3027e, 0xc0331986, - 0x3ae67ba2, 0xc03418a2, 0x3ad9f4f8, 0xc0351a33, - 0x3acd6e81, 0xc0361e3a, 0x3ac0e83d, 0xc03724b6, - 0x3ab4622d, 0xc0382da8, 0x3aa7dc52, 0xc0393910, - 0x3a9b56ab, 0xc03a46ed, 0x3a8ed139, 0xc03b573f, - 0x3a824bfd, 0xc03c6a07, 0x3a75c6f8, 0xc03d7f44, - 0x3a694229, 0xc03e96f6, 0x3a5cbd91, 0xc03fb11d, - 0x3a503930, 0xc040cdba, 0x3a43b508, 0xc041eccc, - 0x3a373119, 0xc0430e53, 0x3a2aad62, 0xc044324f, - 0x3a1e29e5, 0xc04558c0, 0x3a11a6a3, 0xc04681a6, - 0x3a05239a, 0xc047ad01, 0x39f8a0cd, 0xc048dad1, - 0x39ec1e3b, 0xc04a0b16, 0x39df9be6, 0xc04b3dcf, - 0x39d319cc, 0xc04c72fe, 0x39c697f0, 0xc04daaa1, - 0x39ba1651, 0xc04ee4b8, 0x39ad94f0, 0xc0502145, - 0x39a113cd, 0xc0516045, 0x399492ea, 0xc052a1bb, - 0x39881245, 0xc053e5a5, 0x397b91e1, 0xc0552c03, - 0x396f11bc, 0xc05674d6, 0x396291d9, 0xc057c01d, - 0x39561237, 0xc0590dd8, 0x394992d7, 0xc05a5e07, - 0x393d13b8, 0xc05bb0ab, 0x393094dd, 0xc05d05c3, - 0x39241645, 0xc05e5d4e, 0x391797f0, 0xc05fb74e, - 0x390b19e0, 0xc06113c2, 0x38fe9c15, 0xc06272aa, - 0x38f21e8e, 0xc063d405, 0x38e5a14d, 0xc06537d4, - 0x38d92452, 0xc0669e18, 0x38cca79e, 0xc06806ce, - 0x38c02b31, 0xc06971f9, 0x38b3af0c, 0xc06adf97, - 0x38a7332e, 0xc06c4fa8, 0x389ab799, 0xc06dc22e, - 0x388e3c4d, 0xc06f3726, 0x3881c14b, 0xc070ae92, - 0x38754692, 0xc0722871, 0x3868cc24, 0xc073a4c3, - 0x385c5201, 0xc0752389, 0x384fd829, 0xc076a4c2, - 0x38435e9d, 0xc078286e, 0x3836e55d, 0xc079ae8c, - 0x382a6c6a, 0xc07b371e, 0x381df3c5, 0xc07cc223, - 0x38117b6d, 0xc07e4f9b, 0x38050364, 0xc07fdf85, - 0x37f88ba9, 0xc08171e2, 0x37ec143e, 0xc08306b2, - 0x37df9d22, 0xc0849df4, 0x37d32657, 0xc08637a9, - 0x37c6afdc, 0xc087d3d0, 0x37ba39b3, 0xc089726a, - 0x37adc3db, 0xc08b1376, 0x37a14e55, 0xc08cb6f5, - 0x3794d922, 0xc08e5ce5, 0x37886442, 0xc0900548, - 0x377befb5, 0xc091b01d, 0x376f7b7d, 0xc0935d64, - 0x37630799, 0xc0950d1d, 0x3756940a, 0xc096bf48, - 0x374a20d0, 0xc09873e4, 0x373daded, 0xc09a2af3, - 0x37313b60, 0xc09be473, 0x3724c92a, 0xc09da065, - 0x3718574b, 0xc09f5ec8, 0x370be5c4, 0xc0a11f9d, - 0x36ff7496, 0xc0a2e2e3, 0x36f303c0, 0xc0a4a89b, - 0x36e69344, 0xc0a670c4, 0x36da2321, 0xc0a83b5e, - 0x36cdb359, 0xc0aa086a, 0x36c143ec, 0xc0abd7e6, - 0x36b4d4d9, 0xc0ada9d4, 0x36a86623, 0xc0af7e33, - 0x369bf7c9, 0xc0b15502, 0x368f89cb, 0xc0b32e42, - 0x36831c2b, 0xc0b509f3, 0x3676aee8, 0xc0b6e815, - 0x366a4203, 0xc0b8c8a7, 0x365dd57d, 0xc0baabaa, - 0x36516956, 0xc0bc911d, 0x3644fd8f, 0xc0be7901, - 0x36389228, 0xc0c06355, 0x362c2721, 0xc0c25019, - 0x361fbc7b, 0xc0c43f4d, 0x36135237, 0xc0c630f2, - 0x3606e854, 0xc0c82506, 0x35fa7ed4, 0xc0ca1b8a, - 0x35ee15b7, 0xc0cc147f, 0x35e1acfd, 0xc0ce0fe3, - 0x35d544a7, 0xc0d00db6, 0x35c8dcb6, 0xc0d20dfa, - 0x35bc7529, 0xc0d410ad, 0x35b00e02, 0xc0d615cf, - 0x35a3a740, 0xc0d81d61, 0x359740e5, 0xc0da2762, - 0x358adaf0, 0xc0dc33d2, 0x357e7563, 0xc0de42b2, - 0x3572103d, 0xc0e05401, 0x3565ab80, 0xc0e267be, - 0x3559472b, 0xc0e47deb, 0x354ce33f, 0xc0e69686, - 0x35407fbd, 0xc0e8b190, 0x35341ca5, 0xc0eacf09, - 0x3527b9f7, 0xc0eceef1, 0x351b57b5, 0xc0ef1147, - 0x350ef5de, 0xc0f1360b, 0x35029473, 0xc0f35d3e, - 0x34f63374, 0xc0f586df, 0x34e9d2e3, 0xc0f7b2ee, - 0x34dd72be, 0xc0f9e16b, 0x34d11308, 0xc0fc1257, - 0x34c4b3c0, 0xc0fe45b0, 0x34b854e7, 0xc1007b77, - 0x34abf67e, 0xc102b3ac, 0x349f9884, 0xc104ee4f, - 0x34933afa, 0xc1072b5f, 0x3486dde1, 0xc1096add, - 0x347a8139, 0xc10bacc8, 0x346e2504, 0xc10df120, - 0x3461c940, 0xc11037e6, 0x34556def, 0xc1128119, - 0x34491311, 0xc114ccb9, 0x343cb8a7, 0xc1171ac6, - 0x34305eb0, 0xc1196b3f, 0x3424052f, 0xc11bbe26, - 0x3417ac22, 0xc11e1379, 0x340b538b, 0xc1206b39, - 0x33fefb6a, 0xc122c566, 0x33f2a3bf, 0xc12521ff, - 0x33e64c8c, 0xc1278104, 0x33d9f5cf, 0xc129e276, - 0x33cd9f8b, 0xc12c4653, 0x33c149bf, 0xc12eac9d, - 0x33b4f46c, 0xc1311553, 0x33a89f92, 0xc1338075, - 0x339c4b32, 0xc135ee02, 0x338ff74d, 0xc1385dfb, - 0x3383a3e2, 0xc13ad060, 0x337750f2, 0xc13d4530, - 0x336afe7e, 0xc13fbc6c, 0x335eac86, 0xc1423613, - 0x33525b0b, 0xc144b225, 0x33460a0d, 0xc14730a3, - 0x3339b98d, 0xc149b18b, 0x332d698a, 0xc14c34df, - 0x33211a07, 0xc14eba9d, 0x3314cb02, 0xc15142c6, - 0x33087c7d, 0xc153cd5a, 0x32fc2e77, 0xc1565a58, - 0x32efe0f2, 0xc158e9c1, 0x32e393ef, 0xc15b7b94, - 0x32d7476c, 0xc15e0fd1, 0x32cafb6b, 0xc160a678, - 0x32beafed, 0xc1633f8a, 0x32b264f2, 0xc165db05, - 0x32a61a7a, 0xc16878eb, 0x3299d085, 0xc16b193a, - 0x328d8715, 0xc16dbbf3, 0x32813e2a, 0xc1706115, - 0x3274f5c3, 0xc17308a1, 0x3268ade3, 0xc175b296, - 0x325c6688, 0xc1785ef4, 0x32501fb5, 0xc17b0dbb, - 0x3243d968, 0xc17dbeec, 0x323793a3, 0xc1807285, - 0x322b4e66, 0xc1832888, 0x321f09b1, 0xc185e0f3, - 0x3212c585, 0xc1889bc6, 0x320681e3, 0xc18b5903, - 0x31fa3ecb, 0xc18e18a7, 0x31edfc3d, 0xc190dab4, - 0x31e1ba3a, 0xc1939f29, 0x31d578c2, 0xc1966606, - 0x31c937d6, 0xc1992f4c, 0x31bcf777, 0xc19bfaf9, - 0x31b0b7a4, 0xc19ec90d, 0x31a4785e, 0xc1a1998a, - 0x319839a6, 0xc1a46c6e, 0x318bfb7d, 0xc1a741b9, - 0x317fbde2, 0xc1aa196c, 0x317380d6, 0xc1acf386, - 0x31674459, 0xc1afd007, 0x315b086d, 0xc1b2aef0, - 0x314ecd11, 0xc1b5903f, 0x31429247, 0xc1b873f5, - 0x3136580d, 0xc1bb5a11, 0x312a1e66, 0xc1be4294, - 0x311de551, 0xc1c12d7e, 0x3111accf, 0xc1c41ace, - 0x310574e0, 0xc1c70a84, 0x30f93d86, 0xc1c9fca0, - 0x30ed06bf, 0xc1ccf122, 0x30e0d08d, 0xc1cfe80a, - 0x30d49af1, 0xc1d2e158, 0x30c865ea, 0xc1d5dd0c, - 0x30bc317a, 0xc1d8db25, 0x30affda0, 0xc1dbdba3, - 0x30a3ca5d, 0xc1dede87, 0x309797b2, 0xc1e1e3d0, - 0x308b659f, 0xc1e4eb7e, 0x307f3424, 0xc1e7f591, - 0x30730342, 0xc1eb0209, 0x3066d2fa, 0xc1ee10e5, - 0x305aa34c, 0xc1f12227, 0x304e7438, 0xc1f435cc, - 0x304245c0, 0xc1f74bd6, 0x303617e2, 0xc1fa6445, - 0x3029eaa1, 0xc1fd7f17, 0x301dbdfb, 0xc2009c4e, - 0x301191f3, 0xc203bbe8, 0x30056687, 0xc206dde6, - 0x2ff93bba, 0xc20a0248, 0x2fed118a, 0xc20d290d, - 0x2fe0e7f9, 0xc2105236, 0x2fd4bf08, 0xc2137dc2, - 0x2fc896b5, 0xc216abb1, 0x2fbc6f03, 0xc219dc03, - 0x2fb047f2, 0xc21d0eb8, 0x2fa42181, 0xc22043d0, - 0x2f97fbb2, 0xc2237b4b, 0x2f8bd685, 0xc226b528, - 0x2f7fb1fa, 0xc229f167, 0x2f738e12, 0xc22d3009, - 0x2f676ace, 0xc230710d, 0x2f5b482d, 0xc233b473, - 0x2f4f2630, 0xc236fa3b, 0x2f4304d8, 0xc23a4265, - 0x2f36e426, 0xc23d8cf1, 0x2f2ac419, 0xc240d9de, - 0x2f1ea4b2, 0xc244292c, 0x2f1285f2, 0xc2477adc, - 0x2f0667d9, 0xc24aceed, 0x2efa4a67, 0xc24e255e, - 0x2eee2d9d, 0xc2517e31, 0x2ee2117c, 0xc254d965, - 0x2ed5f604, 0xc25836f9, 0x2ec9db35, 0xc25b96ee, - 0x2ebdc110, 0xc25ef943, 0x2eb1a796, 0xc2625df8, - 0x2ea58ec6, 0xc265c50e, 0x2e9976a1, 0xc2692e83, - 0x2e8d5f29, 0xc26c9a58, 0x2e81485c, 0xc270088e, - 0x2e75323c, 0xc2737922, 0x2e691cc9, 0xc276ec16, - 0x2e5d0804, 0xc27a616a, 0x2e50f3ed, 0xc27dd91c, - 0x2e44e084, 0xc281532e, 0x2e38cdcb, 0xc284cf9f, - 0x2e2cbbc1, 0xc2884e6e, 0x2e20aa67, 0xc28bcf9c, - 0x2e1499bd, 0xc28f5329, 0x2e0889c4, 0xc292d914, - 0x2dfc7a7c, 0xc296615d, 0x2df06be6, 0xc299ec05, - 0x2de45e03, 0xc29d790a, 0x2dd850d2, 0xc2a1086d, - 0x2dcc4454, 0xc2a49a2e, 0x2dc0388a, 0xc2a82e4d, - 0x2db42d74, 0xc2abc4c9, 0x2da82313, 0xc2af5da2, - 0x2d9c1967, 0xc2b2f8d8, 0x2d901070, 0xc2b6966c, - 0x2d84082f, 0xc2ba365c, 0x2d7800a5, 0xc2bdd8a9, - 0x2d6bf9d1, 0xc2c17d52, 0x2d5ff3b5, 0xc2c52459, - 0x2d53ee51, 0xc2c8cdbb, 0x2d47e9a5, 0xc2cc7979, - 0x2d3be5b1, 0xc2d02794, 0x2d2fe277, 0xc2d3d80a, - 0x2d23dff7, 0xc2d78add, 0x2d17de31, 0xc2db400a, - 0x2d0bdd25, 0xc2def794, 0x2cffdcd4, 0xc2e2b178, - 0x2cf3dd3f, 0xc2e66db8, 0x2ce7de66, 0xc2ea2c53, - 0x2cdbe04a, 0xc2eded49, 0x2ccfe2ea, 0xc2f1b099, - 0x2cc3e648, 0xc2f57644, 0x2cb7ea63, 0xc2f93e4a, - 0x2cabef3d, 0xc2fd08a9, 0x2c9ff4d6, 0xc300d563, - 0x2c93fb2e, 0xc304a477, 0x2c880245, 0xc30875e5, - 0x2c7c0a1d, 0xc30c49ad, 0x2c7012b5, 0xc3101fce, - 0x2c641c0e, 0xc313f848, 0x2c582629, 0xc317d31c, - 0x2c4c3106, 0xc31bb049, 0x2c403ca5, 0xc31f8fcf, - 0x2c344908, 0xc32371ae, 0x2c28562d, 0xc32755e5, - 0x2c1c6417, 0xc32b3c75, 0x2c1072c4, 0xc32f255e, - 0x2c048237, 0xc333109e, 0x2bf8926f, 0xc336fe37, - 0x2beca36c, 0xc33aee27, 0x2be0b52f, 0xc33ee070, - 0x2bd4c7ba, 0xc342d510, 0x2bc8db0b, 0xc346cc07, - 0x2bbcef23, 0xc34ac556, 0x2bb10404, 0xc34ec0fc, - 0x2ba519ad, 0xc352bef9, 0x2b99301f, 0xc356bf4d, - 0x2b8d475b, 0xc35ac1f7, 0x2b815f60, 0xc35ec6f8, - 0x2b75782f, 0xc362ce50, 0x2b6991ca, 0xc366d7fd, - 0x2b5dac2f, 0xc36ae401, 0x2b51c760, 0xc36ef25b, - 0x2b45e35d, 0xc373030a, 0x2b3a0027, 0xc377160f, - 0x2b2e1dbe, 0xc37b2b6a, 0x2b223c22, 0xc37f4319, - 0x2b165b54, 0xc3835d1e, 0x2b0a7b54, 0xc3877978, - 0x2afe9c24, 0xc38b9827, 0x2af2bdc3, 0xc38fb92a, - 0x2ae6e031, 0xc393dc82, 0x2adb0370, 0xc398022f, - 0x2acf277f, 0xc39c2a2f, 0x2ac34c60, 0xc3a05484, - 0x2ab77212, 0xc3a4812c, 0x2aab9896, 0xc3a8b028, - 0x2a9fbfed, 0xc3ace178, 0x2a93e817, 0xc3b1151b, - 0x2a881114, 0xc3b54b11, 0x2a7c3ae5, 0xc3b9835a, - 0x2a70658a, 0xc3bdbdf6, 0x2a649105, 0xc3c1fae5, - 0x2a58bd54, 0xc3c63a26, 0x2a4cea79, 0xc3ca7bba, - 0x2a411874, 0xc3cebfa0, 0x2a354746, 0xc3d305d8, - 0x2a2976ef, 0xc3d74e62, 0x2a1da770, 0xc3db993e, - 0x2a11d8c8, 0xc3dfe66c, 0x2a060af9, 0xc3e435ea, - 0x29fa3e03, 0xc3e887bb, 0x29ee71e6, 0xc3ecdbdc, - 0x29e2a6a3, 0xc3f1324e, 0x29d6dc3b, 0xc3f58b10, - 0x29cb12ad, 0xc3f9e624, 0x29bf49fa, 0xc3fe4388, - 0x29b38223, 0xc402a33c, 0x29a7bb28, 0xc4070540, - 0x299bf509, 0xc40b6994, 0x29902fc7, 0xc40fd037, - 0x29846b63, 0xc414392b, 0x2978a7dd, 0xc418a46d, - 0x296ce535, 0xc41d11ff, 0x2961236c, 0xc42181e0, - 0x29556282, 0xc425f410, 0x2949a278, 0xc42a688f, - 0x293de34e, 0xc42edf5c, 0x29322505, 0xc4335877, - 0x2926679c, 0xc437d3e1, 0x291aab16, 0xc43c5199, - 0x290eef71, 0xc440d19e, 0x290334af, 0xc44553f2, - 0x28f77acf, 0xc449d892, 0x28ebc1d3, 0xc44e5f80, - 0x28e009ba, 0xc452e8bc, 0x28d45286, 0xc4577444, - 0x28c89c37, 0xc45c0219, 0x28bce6cd, 0xc460923b, - 0x28b13248, 0xc46524a9, 0x28a57ea9, 0xc469b963, - 0x2899cbf1, 0xc46e5069, 0x288e1a20, 0xc472e9bc, - 0x28826936, 0xc477855a, 0x2876b934, 0xc47c2344, - 0x286b0a1a, 0xc480c379, 0x285f5be9, 0xc48565f9, - 0x2853aea1, 0xc48a0ac4, 0x28480243, 0xc48eb1db, - 0x283c56cf, 0xc4935b3c, 0x2830ac45, 0xc49806e7, - 0x282502a7, 0xc49cb4dd, 0x281959f4, 0xc4a1651c, - 0x280db22d, 0xc4a617a6, 0x28020b52, 0xc4aacc7a, - 0x27f66564, 0xc4af8397, 0x27eac063, 0xc4b43cfd, - 0x27df1c50, 0xc4b8f8ad, 0x27d3792b, 0xc4bdb6a6, - 0x27c7d6f4, 0xc4c276e8, 0x27bc35ad, 0xc4c73972, - 0x27b09555, 0xc4cbfe45, 0x27a4f5ed, 0xc4d0c560, - 0x27995776, 0xc4d58ec3, 0x278db9ef, 0xc4da5a6f, - 0x27821d59, 0xc4df2862, 0x277681b6, 0xc4e3f89c, - 0x276ae704, 0xc4e8cb1e, 0x275f4d45, 0xc4ed9fe7, - 0x2753b479, 0xc4f276f7, 0x27481ca1, 0xc4f7504e, - 0x273c85bc, 0xc4fc2bec, 0x2730efcc, 0xc50109d0, - 0x27255ad1, 0xc505e9fb, 0x2719c6cb, 0xc50acc6b, - 0x270e33bb, 0xc50fb121, 0x2702a1a1, 0xc514981d, - 0x26f7107e, 0xc519815f, 0x26eb8052, 0xc51e6ce6, - 0x26dff11d, 0xc5235ab2, 0x26d462e1, 0xc5284ac3, - 0x26c8d59c, 0xc52d3d18, 0x26bd4951, 0xc53231b3, - 0x26b1bdff, 0xc5372891, 0x26a633a6, 0xc53c21b4, - 0x269aaa48, 0xc5411d1b, 0x268f21e5, 0xc5461ac6, - 0x26839a7c, 0xc54b1ab4, 0x26781410, 0xc5501ce5, - 0x266c8e9f, 0xc555215a, 0x26610a2a, 0xc55a2812, - 0x265586b3, 0xc55f310d, 0x264a0438, 0xc5643c4a, - 0x263e82bc, 0xc56949ca, 0x2633023e, 0xc56e598c, - 0x262782be, 0xc5736b90, 0x261c043d, 0xc5787fd6, - 0x261086bc, 0xc57d965d, 0x26050a3b, 0xc582af26, - 0x25f98ebb, 0xc587ca31, 0x25ee143b, 0xc58ce77c, - 0x25e29abc, 0xc5920708, 0x25d72240, 0xc59728d5, - 0x25cbaac5, 0xc59c4ce3, 0x25c0344d, 0xc5a17330, - 0x25b4bed8, 0xc5a69bbe, 0x25a94a67, 0xc5abc68c, - 0x259dd6f9, 0xc5b0f399, 0x25926490, 0xc5b622e6, - 0x2586f32c, 0xc5bb5472, 0x257b82cd, 0xc5c0883d, - 0x25701374, 0xc5c5be47, 0x2564a521, 0xc5caf690, - 0x255937d5, 0xc5d03118, 0x254dcb8f, 0xc5d56ddd, - 0x25426051, 0xc5daace1, 0x2536f61b, 0xc5dfee22, - 0x252b8cee, 0xc5e531a1, 0x252024c9, 0xc5ea775e, - 0x2514bdad, 0xc5efbf58, 0x2509579b, 0xc5f5098f, - 0x24fdf294, 0xc5fa5603, 0x24f28e96, 0xc5ffa4b3, - 0x24e72ba4, 0xc604f5a0, 0x24dbc9bd, 0xc60a48c9, - 0x24d068e2, 0xc60f9e2e, 0x24c50914, 0xc614f5cf, - 0x24b9aa52, 0xc61a4fac, 0x24ae4c9d, 0xc61fabc4, - 0x24a2eff6, 0xc6250a18, 0x2497945d, 0xc62a6aa6, - 0x248c39d3, 0xc62fcd6f, 0x2480e057, 0xc6353273, - 0x247587eb, 0xc63a99b1, 0x246a308f, 0xc6400329, - 0x245eda43, 0xc6456edb, 0x24538507, 0xc64adcc7, - 0x244830dd, 0xc6504ced, 0x243cddc4, 0xc655bf4c, - 0x24318bbe, 0xc65b33e4, 0x24263ac9, 0xc660aab5, - 0x241aeae8, 0xc66623be, 0x240f9c1a, 0xc66b9f01, - 0x24044e60, 0xc6711c7b, 0x23f901ba, 0xc6769c2e, - 0x23edb628, 0xc67c1e18, 0x23e26bac, 0xc681a23a, - 0x23d72245, 0xc6872894, 0x23cbd9f4, 0xc68cb124, - 0x23c092b9, 0xc6923bec, 0x23b54c95, 0xc697c8eb, - 0x23aa0788, 0xc69d5820, 0x239ec393, 0xc6a2e98b, - 0x239380b6, 0xc6a87d2d, 0x23883ef2, 0xc6ae1304, - 0x237cfe47, 0xc6b3ab12, 0x2371beb5, 0xc6b94554, - 0x2366803c, 0xc6bee1cd, 0x235b42df, 0xc6c4807a, - 0x2350069b, 0xc6ca215c, 0x2344cb73, 0xc6cfc472, - 0x23399167, 0xc6d569be, 0x232e5876, 0xc6db113d, - 0x232320a2, 0xc6e0baf0, 0x2317e9eb, 0xc6e666d7, - 0x230cb451, 0xc6ec14f2, 0x23017fd5, 0xc6f1c540, - 0x22f64c77, 0xc6f777c1, 0x22eb1a37, 0xc6fd2c75, - 0x22dfe917, 0xc702e35c, 0x22d4b916, 0xc7089c75, - 0x22c98a35, 0xc70e57c0, 0x22be5c74, 0xc714153e, - 0x22b32fd4, 0xc719d4ed, 0x22a80456, 0xc71f96ce, - 0x229cd9f8, 0xc7255ae0, 0x2291b0bd, 0xc72b2123, - 0x228688a4, 0xc730e997, 0x227b61af, 0xc736b43c, - 0x22703bdc, 0xc73c8111, 0x2265172e, 0xc7425016, - 0x2259f3a3, 0xc748214c, 0x224ed13d, 0xc74df4b1, - 0x2243affc, 0xc753ca46, 0x22388fe1, 0xc759a20a, - 0x222d70eb, 0xc75f7bfe, 0x2222531c, 0xc7655820, - 0x22173674, 0xc76b3671, 0x220c1af3, 0xc77116f0, - 0x22010099, 0xc776f99d, 0x21f5e768, 0xc77cde79, - 0x21eacf5f, 0xc782c582, 0x21dfb87f, 0xc788aeb9, - 0x21d4a2c8, 0xc78e9a1d, 0x21c98e3b, 0xc79487ae, - 0x21be7ad8, 0xc79a776c, 0x21b368a0, 0xc7a06957, - 0x21a85793, 0xc7a65d6e, 0x219d47b1, 0xc7ac53b1, - 0x219238fb, 0xc7b24c20, 0x21872b72, 0xc7b846ba, - 0x217c1f15, 0xc7be4381, 0x217113e5, 0xc7c44272, - 0x216609e3, 0xc7ca438f, 0x215b0110, 0xc7d046d6, - 0x214ff96a, 0xc7d64c47, 0x2144f2f3, 0xc7dc53e3, - 0x2139edac, 0xc7e25daa, 0x212ee995, 0xc7e8699a, - 0x2123e6ad, 0xc7ee77b3, 0x2118e4f6, 0xc7f487f6, - 0x210de470, 0xc7fa9a62, 0x2102e51c, 0xc800aef7, - 0x20f7e6f9, 0xc806c5b5, 0x20ecea09, 0xc80cde9b, - 0x20e1ee4b, 0xc812f9a9, 0x20d6f3c1, 0xc81916df, - 0x20cbfa6a, 0xc81f363d, 0x20c10247, 0xc82557c3, - 0x20b60b58, 0xc82b7b70, 0x20ab159e, 0xc831a143, - 0x20a0211a, 0xc837c93e, 0x20952dcb, 0xc83df35f, - 0x208a3bb2, 0xc8441fa6, 0x207f4acf, 0xc84a4e14, - 0x20745b24, 0xc8507ea7, 0x20696cb0, 0xc856b160, - 0x205e7f74, 0xc85ce63e, 0x2053936f, 0xc8631d42, - 0x2048a8a4, 0xc869566a, 0x203dbf11, 0xc86f91b7, - 0x2032d6b8, 0xc875cf28, 0x2027ef99, 0xc87c0ebd, - 0x201d09b4, 0xc8825077, 0x2012250a, 0xc8889454, - 0x2007419b, 0xc88eda54, 0x1ffc5f67, 0xc8952278, - 0x1ff17e70, 0xc89b6cbf, 0x1fe69eb4, 0xc8a1b928, - 0x1fdbc036, 0xc8a807b4, 0x1fd0e2f5, 0xc8ae5862, - 0x1fc606f1, 0xc8b4ab32, 0x1fbb2c2c, 0xc8bb0023, - 0x1fb052a5, 0xc8c15736, 0x1fa57a5d, 0xc8c7b06b, - 0x1f9aa354, 0xc8ce0bc0, 0x1f8fcd8b, 0xc8d46936, - 0x1f84f902, 0xc8dac8cd, 0x1f7a25ba, 0xc8e12a84, - 0x1f6f53b3, 0xc8e78e5b, 0x1f6482ed, 0xc8edf452, - 0x1f59b369, 0xc8f45c68, 0x1f4ee527, 0xc8fac69e, - 0x1f441828, 0xc90132f2, 0x1f394c6b, 0xc907a166, - 0x1f2e81f3, 0xc90e11f7, 0x1f23b8be, 0xc91484a8, - 0x1f18f0ce, 0xc91af976, 0x1f0e2a22, 0xc9217062, - 0x1f0364bc, 0xc927e96b, 0x1ef8a09b, 0xc92e6492, - 0x1eedddc0, 0xc934e1d6, 0x1ee31c2b, 0xc93b6137, - 0x1ed85bdd, 0xc941e2b4, 0x1ecd9cd7, 0xc948664d, - 0x1ec2df18, 0xc94eec03, 0x1eb822a1, 0xc95573d4, - 0x1ead6773, 0xc95bfdc1, 0x1ea2ad8d, 0xc96289c9, - 0x1e97f4f1, 0xc96917ec, 0x1e8d3d9e, 0xc96fa82a, - 0x1e828796, 0xc9763a83, 0x1e77d2d8, 0xc97ccef5, - 0x1e6d1f65, 0xc9836582, 0x1e626d3e, 0xc989fe29, - 0x1e57bc62, 0xc99098e9, 0x1e4d0cd2, 0xc99735c2, - 0x1e425e8f, 0xc99dd4b4, 0x1e37b199, 0xc9a475bf, - 0x1e2d05f1, 0xc9ab18e3, 0x1e225b96, 0xc9b1be1e, - 0x1e17b28a, 0xc9b86572, 0x1e0d0acc, 0xc9bf0edd, - 0x1e02645d, 0xc9c5ba60, 0x1df7bf3e, 0xc9cc67fa, - 0x1ded1b6e, 0xc9d317ab, 0x1de278ef, 0xc9d9c973, - 0x1dd7d7c1, 0xc9e07d51, 0x1dcd37e4, 0xc9e73346, - 0x1dc29958, 0xc9edeb50, 0x1db7fc1e, 0xc9f4a570, - 0x1dad6036, 0xc9fb61a5, 0x1da2c5a2, 0xca021fef, - 0x1d982c60, 0xca08e04f, 0x1d8d9472, 0xca0fa2c3, - 0x1d82fdd8, 0xca16674b, 0x1d786892, 0xca1d2de7, - 0x1d6dd4a2, 0xca23f698, 0x1d634206, 0xca2ac15b, - 0x1d58b0c0, 0xca318e32, 0x1d4e20d0, 0xca385d1d, - 0x1d439236, 0xca3f2e19, 0x1d3904f4, 0xca460129, - 0x1d2e7908, 0xca4cd64b, 0x1d23ee74, 0xca53ad7e, - 0x1d196538, 0xca5a86c4, 0x1d0edd55, 0xca61621b, - 0x1d0456ca, 0xca683f83, 0x1cf9d199, 0xca6f1efc, - 0x1cef4dc2, 0xca760086, 0x1ce4cb44, 0xca7ce420, - 0x1cda4a21, 0xca83c9ca, 0x1ccfca59, 0xca8ab184, - 0x1cc54bec, 0xca919b4e, 0x1cbacedb, 0xca988727, - 0x1cb05326, 0xca9f750f, 0x1ca5d8cd, 0xcaa66506, - 0x1c9b5fd2, 0xcaad570c, 0x1c90e834, 0xcab44b1f, - 0x1c8671f3, 0xcabb4141, 0x1c7bfd11, 0xcac23971, - 0x1c71898d, 0xcac933ae, 0x1c671768, 0xcad02ff8, - 0x1c5ca6a2, 0xcad72e4f, 0x1c52373c, 0xcade2eb3, - 0x1c47c936, 0xcae53123, 0x1c3d5c91, 0xcaec35a0, - 0x1c32f14d, 0xcaf33c28, 0x1c28876a, 0xcafa44bc, - 0x1c1e1ee9, 0xcb014f5b, 0x1c13b7c9, 0xcb085c05, - 0x1c09520d, 0xcb0f6aba, 0x1bfeedb3, 0xcb167b79, - 0x1bf48abd, 0xcb1d8e43, 0x1bea292b, 0xcb24a316, - 0x1bdfc8fc, 0xcb2bb9f4, 0x1bd56a32, 0xcb32d2da, - 0x1bcb0cce, 0xcb39edca, 0x1bc0b0ce, 0xcb410ac3, - 0x1bb65634, 0xcb4829c4, 0x1babfd01, 0xcb4f4acd, - 0x1ba1a534, 0xcb566ddf, 0x1b974ece, 0xcb5d92f8, - 0x1b8cf9cf, 0xcb64ba19, 0x1b82a638, 0xcb6be341, - 0x1b785409, 0xcb730e70, 0x1b6e0342, 0xcb7a3ba5, - 0x1b63b3e5, 0xcb816ae1, 0x1b5965f1, 0xcb889c23, - 0x1b4f1967, 0xcb8fcf6b, 0x1b44ce46, 0xcb9704b9, - 0x1b3a8491, 0xcb9e3c0b, 0x1b303c46, 0xcba57563, - 0x1b25f566, 0xcbacb0bf, 0x1b1baff2, 0xcbb3ee20, - 0x1b116beb, 0xcbbb2d85, 0x1b072950, 0xcbc26eee, - 0x1afce821, 0xcbc9b25a, 0x1af2a860, 0xcbd0f7ca, - 0x1ae86a0d, 0xcbd83f3d, 0x1ade2d28, 0xcbdf88b3, - 0x1ad3f1b1, 0xcbe6d42b, 0x1ac9b7a9, 0xcbee21a5, - 0x1abf7f11, 0xcbf57121, 0x1ab547e8, 0xcbfcc29f, - 0x1aab122f, 0xcc04161e, 0x1aa0dde7, 0xcc0b6b9e, - 0x1a96ab0f, 0xcc12c31f, 0x1a8c79a9, 0xcc1a1ca0, - 0x1a8249b4, 0xcc217822, 0x1a781b31, 0xcc28d5a3, - 0x1a6dee21, 0xcc303524, 0x1a63c284, 0xcc3796a5, - 0x1a599859, 0xcc3efa25, 0x1a4f6fa3, 0xcc465fa3, - 0x1a454860, 0xcc4dc720, 0x1a3b2292, 0xcc55309b, - 0x1a30fe38, 0xcc5c9c14, 0x1a26db54, 0xcc64098b, - 0x1a1cb9e5, 0xcc6b78ff, 0x1a1299ec, 0xcc72ea70, - 0x1a087b69, 0xcc7a5dde, 0x19fe5e5e, 0xcc81d349, - 0x19f442c9, 0xcc894aaf, 0x19ea28ac, 0xcc90c412, - 0x19e01006, 0xcc983f70, 0x19d5f8d9, 0xcc9fbcca, - 0x19cbe325, 0xcca73c1e, 0x19c1cee9, 0xccaebd6e, - 0x19b7bc27, 0xccb640b8, 0x19adaadf, 0xccbdc5fc, - 0x19a39b11, 0xccc54d3a, 0x19998cbe, 0xccccd671, - 0x198f7fe6, 0xccd461a2, 0x19857489, 0xccdbeecc, - 0x197b6aa8, 0xcce37def, 0x19716243, 0xcceb0f0a, - 0x19675b5a, 0xccf2a21d, 0x195d55ef, 0xccfa3729, - 0x19535201, 0xcd01ce2b, 0x19494f90, 0xcd096725, - 0x193f4e9e, 0xcd110216, 0x19354f2a, 0xcd189efe, - 0x192b5135, 0xcd203ddc, 0x192154bf, 0xcd27deb0, - 0x191759c9, 0xcd2f817b, 0x190d6053, 0xcd37263a, - 0x1903685d, 0xcd3eccef, 0x18f971e8, 0xcd467599, - 0x18ef7cf4, 0xcd4e2037, 0x18e58982, 0xcd55ccca, - 0x18db9792, 0xcd5d7b50, 0x18d1a724, 0xcd652bcb, - 0x18c7b838, 0xcd6cde39, 0x18bdcad0, 0xcd74929a, - 0x18b3deeb, 0xcd7c48ee, 0x18a9f48a, 0xcd840134, - 0x18a00bae, 0xcd8bbb6d, 0x18962456, 0xcd937798, - 0x188c3e83, 0xcd9b35b4, 0x18825a35, 0xcda2f5c2, - 0x1878776d, 0xcdaab7c0, 0x186e962b, 0xcdb27bb0, - 0x1864b670, 0xcdba4190, 0x185ad83c, 0xcdc20960, - 0x1850fb8e, 0xcdc9d320, 0x18472069, 0xcdd19ed0, - 0x183d46cc, 0xcdd96c6f, 0x18336eb7, 0xcde13bfd, - 0x1829982b, 0xcde90d79, 0x181fc328, 0xcdf0e0e4, - 0x1815efae, 0xcdf8b63d, 0x180c1dbf, 0xce008d84, - 0x18024d59, 0xce0866b8, 0x17f87e7f, 0xce1041d9, - 0x17eeb130, 0xce181ee8, 0x17e4e56c, 0xce1ffde2, - 0x17db1b34, 0xce27dec9, 0x17d15288, 0xce2fc19c, - 0x17c78b68, 0xce37a65b, 0x17bdc5d6, 0xce3f8d05, - 0x17b401d1, 0xce47759a, 0x17aa3f5a, 0xce4f6019, - 0x17a07e70, 0xce574c84, 0x1796bf16, 0xce5f3ad8, - 0x178d014a, 0xce672b16, 0x1783450d, 0xce6f1d3d, - 0x17798a60, 0xce77114e, 0x176fd143, 0xce7f0748, - 0x176619b6, 0xce86ff2a, 0x175c63ba, 0xce8ef8f4, - 0x1752af4f, 0xce96f4a7, 0x1748fc75, 0xce9ef241, - 0x173f4b2e, 0xcea6f1c2, 0x17359b78, 0xceaef32b, - 0x172bed55, 0xceb6f67a, 0x172240c5, 0xcebefbb0, - 0x171895c9, 0xcec702cb, 0x170eec60, 0xcecf0bcd, - 0x1705448b, 0xced716b4, 0x16fb9e4b, 0xcedf2380, - 0x16f1f99f, 0xcee73231, 0x16e85689, 0xceef42c7, - 0x16deb508, 0xcef75541, 0x16d5151d, 0xceff699f, - 0x16cb76c9, 0xcf077fe1, 0x16c1da0b, 0xcf0f9805, - 0x16b83ee4, 0xcf17b20d, 0x16aea555, 0xcf1fcdf8, - 0x16a50d5d, 0xcf27ebc5, 0x169b76fe, 0xcf300b74, - 0x1691e237, 0xcf382d05, 0x16884f09, 0xcf405077, - 0x167ebd74, 0xcf4875ca, 0x16752d79, 0xcf509cfe, - 0x166b9f18, 0xcf58c613, 0x16621251, 0xcf60f108, - 0x16588725, 0xcf691ddd, 0x164efd94, 0xcf714c91, - 0x1645759f, 0xcf797d24, 0x163bef46, 0xcf81af97, - 0x16326a88, 0xcf89e3e8, 0x1628e767, 0xcf921a17, - 0x161f65e4, 0xcf9a5225, 0x1615e5fd, 0xcfa28c10, - 0x160c67b4, 0xcfaac7d8, 0x1602eb0a, 0xcfb3057d, - 0x15f96ffd, 0xcfbb4500, 0x15eff690, 0xcfc3865e, - 0x15e67ec1, 0xcfcbc999, 0x15dd0892, 0xcfd40eaf, - 0x15d39403, 0xcfdc55a1, 0x15ca2115, 0xcfe49e6d, - 0x15c0afc6, 0xcfece915, 0x15b74019, 0xcff53597, - 0x15add20d, 0xcffd83f4, 0x15a465a3, 0xd005d42a, - 0x159afadb, 0xd00e2639, 0x159191b5, 0xd0167a22, - 0x15882a32, 0xd01ecfe4, 0x157ec452, 0xd027277e, - 0x15756016, 0xd02f80f1, 0x156bfd7d, 0xd037dc3b, - 0x15629c89, 0xd040395d, 0x15593d3a, 0xd0489856, - 0x154fdf8f, 0xd050f926, 0x15468389, 0xd0595bcd, - 0x153d292a, 0xd061c04a, 0x1533d070, 0xd06a269d, - 0x152a795d, 0xd0728ec6, 0x152123f0, 0xd07af8c4, - 0x1517d02b, 0xd0836497, 0x150e7e0d, 0xd08bd23f, - 0x15052d97, 0xd09441bb, 0x14fbdec9, 0xd09cb30b, - 0x14f291a4, 0xd0a5262f, 0x14e94627, 0xd0ad9b26, - 0x14dffc54, 0xd0b611f1, 0x14d6b42b, 0xd0be8a8d, - 0x14cd6dab, 0xd0c704fd, 0x14c428d6, 0xd0cf813e, - 0x14bae5ab, 0xd0d7ff51, 0x14b1a42c, 0xd0e07f36, - 0x14a86458, 0xd0e900ec, 0x149f2630, 0xd0f18472, - 0x1495e9b3, 0xd0fa09c9, 0x148caee4, 0xd10290f0, - 0x148375c1, 0xd10b19e7, 0x147a3e4b, 0xd113a4ad, - 0x14710883, 0xd11c3142, 0x1467d469, 0xd124bfa6, - 0x145ea1fd, 0xd12d4fd9, 0x14557140, 0xd135e1d9, - 0x144c4232, 0xd13e75a8, 0x144314d3, 0xd1470b44, - 0x1439e923, 0xd14fa2ad, 0x1430bf24, 0xd1583be2, - 0x142796d5, 0xd160d6e5, 0x141e7037, 0xd16973b3, - 0x14154b4a, 0xd172124d, 0x140c280e, 0xd17ab2b3, - 0x14030684, 0xd18354e4, 0x13f9e6ad, 0xd18bf8e0, - 0x13f0c887, 0xd1949ea6, 0x13e7ac15, 0xd19d4636, - 0x13de9156, 0xd1a5ef90, 0x13d5784a, 0xd1ae9ab4, - 0x13cc60f2, 0xd1b747a0, 0x13c34b4f, 0xd1bff656, - 0x13ba3760, 0xd1c8a6d4, 0x13b12526, 0xd1d1591a, - 0x13a814a2, 0xd1da0d28, 0x139f05d3, 0xd1e2c2fd, - 0x1395f8ba, 0xd1eb7a9a, 0x138ced57, 0xd1f433fd, - 0x1383e3ab, 0xd1fcef27, 0x137adbb6, 0xd205ac17, - 0x1371d579, 0xd20e6acc, 0x1368d0f3, 0xd2172b48, - 0x135fce26, 0xd21fed88, 0x1356cd11, 0xd228b18d, - 0x134dcdb4, 0xd2317756, 0x1344d011, 0xd23a3ee4, - 0x133bd427, 0xd2430835, 0x1332d9f7, 0xd24bd34a, - 0x1329e181, 0xd254a021, 0x1320eac6, 0xd25d6ebc, - 0x1317f5c6, 0xd2663f19, 0x130f0280, 0xd26f1138, - 0x130610f7, 0xd277e518, 0x12fd2129, 0xd280babb, - 0x12f43318, 0xd289921e, 0x12eb46c3, 0xd2926b41, - 0x12e25c2b, 0xd29b4626, 0x12d97350, 0xd2a422ca, - 0x12d08c33, 0xd2ad012e, 0x12c7a6d4, 0xd2b5e151, - 0x12bec333, 0xd2bec333, 0x12b5e151, 0xd2c7a6d4, - 0x12ad012e, 0xd2d08c33, 0x12a422ca, 0xd2d97350, - 0x129b4626, 0xd2e25c2b, 0x12926b41, 0xd2eb46c3, - 0x1289921e, 0xd2f43318, 0x1280babb, 0xd2fd2129, - 0x1277e518, 0xd30610f7, 0x126f1138, 0xd30f0280, - 0x12663f19, 0xd317f5c6, 0x125d6ebc, 0xd320eac6, - 0x1254a021, 0xd329e181, 0x124bd34a, 0xd332d9f7, - 0x12430835, 0xd33bd427, 0x123a3ee4, 0xd344d011, - 0x12317756, 0xd34dcdb4, 0x1228b18d, 0xd356cd11, - 0x121fed88, 0xd35fce26, 0x12172b48, 0xd368d0f3, - 0x120e6acc, 0xd371d579, 0x1205ac17, 0xd37adbb6, - 0x11fcef27, 0xd383e3ab, 0x11f433fd, 0xd38ced57, - 0x11eb7a9a, 0xd395f8ba, 0x11e2c2fd, 0xd39f05d3, - 0x11da0d28, 0xd3a814a2, 0x11d1591a, 0xd3b12526, - 0x11c8a6d4, 0xd3ba3760, 0x11bff656, 0xd3c34b4f, - 0x11b747a0, 0xd3cc60f2, 0x11ae9ab4, 0xd3d5784a, - 0x11a5ef90, 0xd3de9156, 0x119d4636, 0xd3e7ac15, - 0x11949ea6, 0xd3f0c887, 0x118bf8e0, 0xd3f9e6ad, - 0x118354e4, 0xd4030684, 0x117ab2b3, 0xd40c280e, - 0x1172124d, 0xd4154b4a, 0x116973b3, 0xd41e7037, - 0x1160d6e5, 0xd42796d5, 0x11583be2, 0xd430bf24, - 0x114fa2ad, 0xd439e923, 0x11470b44, 0xd44314d3, - 0x113e75a8, 0xd44c4232, 0x1135e1d9, 0xd4557140, - 0x112d4fd9, 0xd45ea1fd, 0x1124bfa6, 0xd467d469, - 0x111c3142, 0xd4710883, 0x1113a4ad, 0xd47a3e4b, - 0x110b19e7, 0xd48375c1, 0x110290f0, 0xd48caee4, - 0x10fa09c9, 0xd495e9b3, 0x10f18472, 0xd49f2630, - 0x10e900ec, 0xd4a86458, 0x10e07f36, 0xd4b1a42c, - 0x10d7ff51, 0xd4bae5ab, 0x10cf813e, 0xd4c428d6, - 0x10c704fd, 0xd4cd6dab, 0x10be8a8d, 0xd4d6b42b, - 0x10b611f1, 0xd4dffc54, 0x10ad9b26, 0xd4e94627, - 0x10a5262f, 0xd4f291a4, 0x109cb30b, 0xd4fbdec9, - 0x109441bb, 0xd5052d97, 0x108bd23f, 0xd50e7e0d, - 0x10836497, 0xd517d02b, 0x107af8c4, 0xd52123f0, - 0x10728ec6, 0xd52a795d, 0x106a269d, 0xd533d070, - 0x1061c04a, 0xd53d292a, 0x10595bcd, 0xd5468389, - 0x1050f926, 0xd54fdf8f, 0x10489856, 0xd5593d3a, - 0x1040395d, 0xd5629c89, 0x1037dc3b, 0xd56bfd7d, - 0x102f80f1, 0xd5756016, 0x1027277e, 0xd57ec452, - 0x101ecfe4, 0xd5882a32, 0x10167a22, 0xd59191b5, - 0x100e2639, 0xd59afadb, 0x1005d42a, 0xd5a465a3, - 0xffd83f4, 0xd5add20d, 0xff53597, 0xd5b74019, - 0xfece915, 0xd5c0afc6, 0xfe49e6d, 0xd5ca2115, - 0xfdc55a1, 0xd5d39403, 0xfd40eaf, 0xd5dd0892, - 0xfcbc999, 0xd5e67ec1, 0xfc3865e, 0xd5eff690, - 0xfbb4500, 0xd5f96ffd, 0xfb3057d, 0xd602eb0a, - 0xfaac7d8, 0xd60c67b4, 0xfa28c10, 0xd615e5fd, - 0xf9a5225, 0xd61f65e4, 0xf921a17, 0xd628e767, - 0xf89e3e8, 0xd6326a88, 0xf81af97, 0xd63bef46, - 0xf797d24, 0xd645759f, 0xf714c91, 0xd64efd94, - 0xf691ddd, 0xd6588725, 0xf60f108, 0xd6621251, - 0xf58c613, 0xd66b9f18, 0xf509cfe, 0xd6752d79, - 0xf4875ca, 0xd67ebd74, 0xf405077, 0xd6884f09, - 0xf382d05, 0xd691e237, 0xf300b74, 0xd69b76fe, - 0xf27ebc5, 0xd6a50d5d, 0xf1fcdf8, 0xd6aea555, - 0xf17b20d, 0xd6b83ee4, 0xf0f9805, 0xd6c1da0b, - 0xf077fe1, 0xd6cb76c9, 0xeff699f, 0xd6d5151d, - 0xef75541, 0xd6deb508, 0xeef42c7, 0xd6e85689, - 0xee73231, 0xd6f1f99f, 0xedf2380, 0xd6fb9e4b, - 0xed716b4, 0xd705448b, 0xecf0bcd, 0xd70eec60, - 0xec702cb, 0xd71895c9, 0xebefbb0, 0xd72240c5, - 0xeb6f67a, 0xd72bed55, 0xeaef32b, 0xd7359b78, - 0xea6f1c2, 0xd73f4b2e, 0xe9ef241, 0xd748fc75, - 0xe96f4a7, 0xd752af4f, 0xe8ef8f4, 0xd75c63ba, - 0xe86ff2a, 0xd76619b6, 0xe7f0748, 0xd76fd143, - 0xe77114e, 0xd7798a60, 0xe6f1d3d, 0xd783450d, - 0xe672b16, 0xd78d014a, 0xe5f3ad8, 0xd796bf16, - 0xe574c84, 0xd7a07e70, 0xe4f6019, 0xd7aa3f5a, - 0xe47759a, 0xd7b401d1, 0xe3f8d05, 0xd7bdc5d6, - 0xe37a65b, 0xd7c78b68, 0xe2fc19c, 0xd7d15288, - 0xe27dec9, 0xd7db1b34, 0xe1ffde2, 0xd7e4e56c, - 0xe181ee8, 0xd7eeb130, 0xe1041d9, 0xd7f87e7f, - 0xe0866b8, 0xd8024d59, 0xe008d84, 0xd80c1dbf, - 0xdf8b63d, 0xd815efae, 0xdf0e0e4, 0xd81fc328, - 0xde90d79, 0xd829982b, 0xde13bfd, 0xd8336eb7, - 0xdd96c6f, 0xd83d46cc, 0xdd19ed0, 0xd8472069, - 0xdc9d320, 0xd850fb8e, 0xdc20960, 0xd85ad83c, - 0xdba4190, 0xd864b670, 0xdb27bb0, 0xd86e962b, - 0xdaab7c0, 0xd878776d, 0xda2f5c2, 0xd8825a35, - 0xd9b35b4, 0xd88c3e83, 0xd937798, 0xd8962456, - 0xd8bbb6d, 0xd8a00bae, 0xd840134, 0xd8a9f48a, - 0xd7c48ee, 0xd8b3deeb, 0xd74929a, 0xd8bdcad0, - 0xd6cde39, 0xd8c7b838, 0xd652bcb, 0xd8d1a724, - 0xd5d7b50, 0xd8db9792, 0xd55ccca, 0xd8e58982, - 0xd4e2037, 0xd8ef7cf4, 0xd467599, 0xd8f971e8, - 0xd3eccef, 0xd903685d, 0xd37263a, 0xd90d6053, - 0xd2f817b, 0xd91759c9, 0xd27deb0, 0xd92154bf, - 0xd203ddc, 0xd92b5135, 0xd189efe, 0xd9354f2a, - 0xd110216, 0xd93f4e9e, 0xd096725, 0xd9494f90, - 0xd01ce2b, 0xd9535201, 0xcfa3729, 0xd95d55ef, - 0xcf2a21d, 0xd9675b5a, 0xceb0f0a, 0xd9716243, - 0xce37def, 0xd97b6aa8, 0xcdbeecc, 0xd9857489, - 0xcd461a2, 0xd98f7fe6, 0xcccd671, 0xd9998cbe, - 0xcc54d3a, 0xd9a39b11, 0xcbdc5fc, 0xd9adaadf, - 0xcb640b8, 0xd9b7bc27, 0xcaebd6e, 0xd9c1cee9, - 0xca73c1e, 0xd9cbe325, 0xc9fbcca, 0xd9d5f8d9, - 0xc983f70, 0xd9e01006, 0xc90c412, 0xd9ea28ac, - 0xc894aaf, 0xd9f442c9, 0xc81d349, 0xd9fe5e5e, - 0xc7a5dde, 0xda087b69, 0xc72ea70, 0xda1299ec, - 0xc6b78ff, 0xda1cb9e5, 0xc64098b, 0xda26db54, - 0xc5c9c14, 0xda30fe38, 0xc55309b, 0xda3b2292, - 0xc4dc720, 0xda454860, 0xc465fa3, 0xda4f6fa3, - 0xc3efa25, 0xda599859, 0xc3796a5, 0xda63c284, - 0xc303524, 0xda6dee21, 0xc28d5a3, 0xda781b31, - 0xc217822, 0xda8249b4, 0xc1a1ca0, 0xda8c79a9, - 0xc12c31f, 0xda96ab0f, 0xc0b6b9e, 0xdaa0dde7, - 0xc04161e, 0xdaab122f, 0xbfcc29f, 0xdab547e8, - 0xbf57121, 0xdabf7f11, 0xbee21a5, 0xdac9b7a9, - 0xbe6d42b, 0xdad3f1b1, 0xbdf88b3, 0xdade2d28, - 0xbd83f3d, 0xdae86a0d, 0xbd0f7ca, 0xdaf2a860, - 0xbc9b25a, 0xdafce821, 0xbc26eee, 0xdb072950, - 0xbbb2d85, 0xdb116beb, 0xbb3ee20, 0xdb1baff2, - 0xbacb0bf, 0xdb25f566, 0xba57563, 0xdb303c46, - 0xb9e3c0b, 0xdb3a8491, 0xb9704b9, 0xdb44ce46, - 0xb8fcf6b, 0xdb4f1967, 0xb889c23, 0xdb5965f1, - 0xb816ae1, 0xdb63b3e5, 0xb7a3ba5, 0xdb6e0342, - 0xb730e70, 0xdb785409, 0xb6be341, 0xdb82a638, - 0xb64ba19, 0xdb8cf9cf, 0xb5d92f8, 0xdb974ece, - 0xb566ddf, 0xdba1a534, 0xb4f4acd, 0xdbabfd01, - 0xb4829c4, 0xdbb65634, 0xb410ac3, 0xdbc0b0ce, - 0xb39edca, 0xdbcb0cce, 0xb32d2da, 0xdbd56a32, - 0xb2bb9f4, 0xdbdfc8fc, 0xb24a316, 0xdbea292b, - 0xb1d8e43, 0xdbf48abd, 0xb167b79, 0xdbfeedb3, - 0xb0f6aba, 0xdc09520d, 0xb085c05, 0xdc13b7c9, - 0xb014f5b, 0xdc1e1ee9, 0xafa44bc, 0xdc28876a, - 0xaf33c28, 0xdc32f14d, 0xaec35a0, 0xdc3d5c91, - 0xae53123, 0xdc47c936, 0xade2eb3, 0xdc52373c, - 0xad72e4f, 0xdc5ca6a2, 0xad02ff8, 0xdc671768, - 0xac933ae, 0xdc71898d, 0xac23971, 0xdc7bfd11, - 0xabb4141, 0xdc8671f3, 0xab44b1f, 0xdc90e834, - 0xaad570c, 0xdc9b5fd2, 0xaa66506, 0xdca5d8cd, - 0xa9f750f, 0xdcb05326, 0xa988727, 0xdcbacedb, - 0xa919b4e, 0xdcc54bec, 0xa8ab184, 0xdccfca59, - 0xa83c9ca, 0xdcda4a21, 0xa7ce420, 0xdce4cb44, - 0xa760086, 0xdcef4dc2, 0xa6f1efc, 0xdcf9d199, - 0xa683f83, 0xdd0456ca, 0xa61621b, 0xdd0edd55, - 0xa5a86c4, 0xdd196538, 0xa53ad7e, 0xdd23ee74, - 0xa4cd64b, 0xdd2e7908, 0xa460129, 0xdd3904f4, - 0xa3f2e19, 0xdd439236, 0xa385d1d, 0xdd4e20d0, - 0xa318e32, 0xdd58b0c0, 0xa2ac15b, 0xdd634206, - 0xa23f698, 0xdd6dd4a2, 0xa1d2de7, 0xdd786892, - 0xa16674b, 0xdd82fdd8, 0xa0fa2c3, 0xdd8d9472, - 0xa08e04f, 0xdd982c60, 0xa021fef, 0xdda2c5a2, - 0x9fb61a5, 0xddad6036, 0x9f4a570, 0xddb7fc1e, - 0x9edeb50, 0xddc29958, 0x9e73346, 0xddcd37e4, - 0x9e07d51, 0xddd7d7c1, 0x9d9c973, 0xdde278ef, - 0x9d317ab, 0xdded1b6e, 0x9cc67fa, 0xddf7bf3e, - 0x9c5ba60, 0xde02645d, 0x9bf0edd, 0xde0d0acc, - 0x9b86572, 0xde17b28a, 0x9b1be1e, 0xde225b96, - 0x9ab18e3, 0xde2d05f1, 0x9a475bf, 0xde37b199, - 0x99dd4b4, 0xde425e8f, 0x99735c2, 0xde4d0cd2, - 0x99098e9, 0xde57bc62, 0x989fe29, 0xde626d3e, - 0x9836582, 0xde6d1f65, 0x97ccef5, 0xde77d2d8, - 0x9763a83, 0xde828796, 0x96fa82a, 0xde8d3d9e, - 0x96917ec, 0xde97f4f1, 0x96289c9, 0xdea2ad8d, - 0x95bfdc1, 0xdead6773, 0x95573d4, 0xdeb822a1, - 0x94eec03, 0xdec2df18, 0x948664d, 0xdecd9cd7, - 0x941e2b4, 0xded85bdd, 0x93b6137, 0xdee31c2b, - 0x934e1d6, 0xdeedddc0, 0x92e6492, 0xdef8a09b, - 0x927e96b, 0xdf0364bc, 0x9217062, 0xdf0e2a22, - 0x91af976, 0xdf18f0ce, 0x91484a8, 0xdf23b8be, - 0x90e11f7, 0xdf2e81f3, 0x907a166, 0xdf394c6b, - 0x90132f2, 0xdf441828, 0x8fac69e, 0xdf4ee527, - 0x8f45c68, 0xdf59b369, 0x8edf452, 0xdf6482ed, - 0x8e78e5b, 0xdf6f53b3, 0x8e12a84, 0xdf7a25ba, - 0x8dac8cd, 0xdf84f902, 0x8d46936, 0xdf8fcd8b, - 0x8ce0bc0, 0xdf9aa354, 0x8c7b06b, 0xdfa57a5d, - 0x8c15736, 0xdfb052a5, 0x8bb0023, 0xdfbb2c2c, - 0x8b4ab32, 0xdfc606f1, 0x8ae5862, 0xdfd0e2f5, - 0x8a807b4, 0xdfdbc036, 0x8a1b928, 0xdfe69eb4, - 0x89b6cbf, 0xdff17e70, 0x8952278, 0xdffc5f67, - 0x88eda54, 0xe007419b, 0x8889454, 0xe012250a, - 0x8825077, 0xe01d09b4, 0x87c0ebd, 0xe027ef99, - 0x875cf28, 0xe032d6b8, 0x86f91b7, 0xe03dbf11, - 0x869566a, 0xe048a8a4, 0x8631d42, 0xe053936f, - 0x85ce63e, 0xe05e7f74, 0x856b160, 0xe0696cb0, - 0x8507ea7, 0xe0745b24, 0x84a4e14, 0xe07f4acf, - 0x8441fa6, 0xe08a3bb2, 0x83df35f, 0xe0952dcb, - 0x837c93e, 0xe0a0211a, 0x831a143, 0xe0ab159e, - 0x82b7b70, 0xe0b60b58, 0x82557c3, 0xe0c10247, - 0x81f363d, 0xe0cbfa6a, 0x81916df, 0xe0d6f3c1, - 0x812f9a9, 0xe0e1ee4b, 0x80cde9b, 0xe0ecea09, - 0x806c5b5, 0xe0f7e6f9, 0x800aef7, 0xe102e51c, - 0x7fa9a62, 0xe10de470, 0x7f487f6, 0xe118e4f6, - 0x7ee77b3, 0xe123e6ad, 0x7e8699a, 0xe12ee995, - 0x7e25daa, 0xe139edac, 0x7dc53e3, 0xe144f2f3, - 0x7d64c47, 0xe14ff96a, 0x7d046d6, 0xe15b0110, - 0x7ca438f, 0xe16609e3, 0x7c44272, 0xe17113e5, - 0x7be4381, 0xe17c1f15, 0x7b846ba, 0xe1872b72, - 0x7b24c20, 0xe19238fb, 0x7ac53b1, 0xe19d47b1, - 0x7a65d6e, 0xe1a85793, 0x7a06957, 0xe1b368a0, - 0x79a776c, 0xe1be7ad8, 0x79487ae, 0xe1c98e3b, - 0x78e9a1d, 0xe1d4a2c8, 0x788aeb9, 0xe1dfb87f, - 0x782c582, 0xe1eacf5f, 0x77cde79, 0xe1f5e768, - 0x776f99d, 0xe2010099, 0x77116f0, 0xe20c1af3, - 0x76b3671, 0xe2173674, 0x7655820, 0xe222531c, - 0x75f7bfe, 0xe22d70eb, 0x759a20a, 0xe2388fe1, - 0x753ca46, 0xe243affc, 0x74df4b1, 0xe24ed13d, - 0x748214c, 0xe259f3a3, 0x7425016, 0xe265172e, - 0x73c8111, 0xe2703bdc, 0x736b43c, 0xe27b61af, - 0x730e997, 0xe28688a4, 0x72b2123, 0xe291b0bd, - 0x7255ae0, 0xe29cd9f8, 0x71f96ce, 0xe2a80456, - 0x719d4ed, 0xe2b32fd4, 0x714153e, 0xe2be5c74, - 0x70e57c0, 0xe2c98a35, 0x7089c75, 0xe2d4b916, - 0x702e35c, 0xe2dfe917, 0x6fd2c75, 0xe2eb1a37, - 0x6f777c1, 0xe2f64c77, 0x6f1c540, 0xe3017fd5, - 0x6ec14f2, 0xe30cb451, 0x6e666d7, 0xe317e9eb, - 0x6e0baf0, 0xe32320a2, 0x6db113d, 0xe32e5876, - 0x6d569be, 0xe3399167, 0x6cfc472, 0xe344cb73, - 0x6ca215c, 0xe350069b, 0x6c4807a, 0xe35b42df, - 0x6bee1cd, 0xe366803c, 0x6b94554, 0xe371beb5, - 0x6b3ab12, 0xe37cfe47, 0x6ae1304, 0xe3883ef2, - 0x6a87d2d, 0xe39380b6, 0x6a2e98b, 0xe39ec393, - 0x69d5820, 0xe3aa0788, 0x697c8eb, 0xe3b54c95, - 0x6923bec, 0xe3c092b9, 0x68cb124, 0xe3cbd9f4, - 0x6872894, 0xe3d72245, 0x681a23a, 0xe3e26bac, - 0x67c1e18, 0xe3edb628, 0x6769c2e, 0xe3f901ba, - 0x6711c7b, 0xe4044e60, 0x66b9f01, 0xe40f9c1a, - 0x66623be, 0xe41aeae8, 0x660aab5, 0xe4263ac9, - 0x65b33e4, 0xe4318bbe, 0x655bf4c, 0xe43cddc4, - 0x6504ced, 0xe44830dd, 0x64adcc7, 0xe4538507, - 0x6456edb, 0xe45eda43, 0x6400329, 0xe46a308f, - 0x63a99b1, 0xe47587eb, 0x6353273, 0xe480e057, - 0x62fcd6f, 0xe48c39d3, 0x62a6aa6, 0xe497945d, - 0x6250a18, 0xe4a2eff6, 0x61fabc4, 0xe4ae4c9d, - 0x61a4fac, 0xe4b9aa52, 0x614f5cf, 0xe4c50914, - 0x60f9e2e, 0xe4d068e2, 0x60a48c9, 0xe4dbc9bd, - 0x604f5a0, 0xe4e72ba4, 0x5ffa4b3, 0xe4f28e96, - 0x5fa5603, 0xe4fdf294, 0x5f5098f, 0xe509579b, - 0x5efbf58, 0xe514bdad, 0x5ea775e, 0xe52024c9, - 0x5e531a1, 0xe52b8cee, 0x5dfee22, 0xe536f61b, - 0x5daace1, 0xe5426051, 0x5d56ddd, 0xe54dcb8f, - 0x5d03118, 0xe55937d5, 0x5caf690, 0xe564a521, - 0x5c5be47, 0xe5701374, 0x5c0883d, 0xe57b82cd, - 0x5bb5472, 0xe586f32c, 0x5b622e6, 0xe5926490, - 0x5b0f399, 0xe59dd6f9, 0x5abc68c, 0xe5a94a67, - 0x5a69bbe, 0xe5b4bed8, 0x5a17330, 0xe5c0344d, - 0x59c4ce3, 0xe5cbaac5, 0x59728d5, 0xe5d72240, - 0x5920708, 0xe5e29abc, 0x58ce77c, 0xe5ee143b, - 0x587ca31, 0xe5f98ebb, 0x582af26, 0xe6050a3b, - 0x57d965d, 0xe61086bc, 0x5787fd6, 0xe61c043d, - 0x5736b90, 0xe62782be, 0x56e598c, 0xe633023e, - 0x56949ca, 0xe63e82bc, 0x5643c4a, 0xe64a0438, - 0x55f310d, 0xe65586b3, 0x55a2812, 0xe6610a2a, - 0x555215a, 0xe66c8e9f, 0x5501ce5, 0xe6781410, - 0x54b1ab4, 0xe6839a7c, 0x5461ac6, 0xe68f21e5, - 0x5411d1b, 0xe69aaa48, 0x53c21b4, 0xe6a633a6, - 0x5372891, 0xe6b1bdff, 0x53231b3, 0xe6bd4951, - 0x52d3d18, 0xe6c8d59c, 0x5284ac3, 0xe6d462e1, - 0x5235ab2, 0xe6dff11d, 0x51e6ce6, 0xe6eb8052, - 0x519815f, 0xe6f7107e, 0x514981d, 0xe702a1a1, - 0x50fb121, 0xe70e33bb, 0x50acc6b, 0xe719c6cb, - 0x505e9fb, 0xe7255ad1, 0x50109d0, 0xe730efcc, - 0x4fc2bec, 0xe73c85bc, 0x4f7504e, 0xe7481ca1, - 0x4f276f7, 0xe753b479, 0x4ed9fe7, 0xe75f4d45, - 0x4e8cb1e, 0xe76ae704, 0x4e3f89c, 0xe77681b6, - 0x4df2862, 0xe7821d59, 0x4da5a6f, 0xe78db9ef, - 0x4d58ec3, 0xe7995776, 0x4d0c560, 0xe7a4f5ed, - 0x4cbfe45, 0xe7b09555, 0x4c73972, 0xe7bc35ad, - 0x4c276e8, 0xe7c7d6f4, 0x4bdb6a6, 0xe7d3792b, - 0x4b8f8ad, 0xe7df1c50, 0x4b43cfd, 0xe7eac063, - 0x4af8397, 0xe7f66564, 0x4aacc7a, 0xe8020b52, - 0x4a617a6, 0xe80db22d, 0x4a1651c, 0xe81959f4, - 0x49cb4dd, 0xe82502a7, 0x49806e7, 0xe830ac45, - 0x4935b3c, 0xe83c56cf, 0x48eb1db, 0xe8480243, - 0x48a0ac4, 0xe853aea1, 0x48565f9, 0xe85f5be9, - 0x480c379, 0xe86b0a1a, 0x47c2344, 0xe876b934, - 0x477855a, 0xe8826936, 0x472e9bc, 0xe88e1a20, - 0x46e5069, 0xe899cbf1, 0x469b963, 0xe8a57ea9, - 0x46524a9, 0xe8b13248, 0x460923b, 0xe8bce6cd, - 0x45c0219, 0xe8c89c37, 0x4577444, 0xe8d45286, - 0x452e8bc, 0xe8e009ba, 0x44e5f80, 0xe8ebc1d3, - 0x449d892, 0xe8f77acf, 0x44553f2, 0xe90334af, - 0x440d19e, 0xe90eef71, 0x43c5199, 0xe91aab16, - 0x437d3e1, 0xe926679c, 0x4335877, 0xe9322505, - 0x42edf5c, 0xe93de34e, 0x42a688f, 0xe949a278, - 0x425f410, 0xe9556282, 0x42181e0, 0xe961236c, - 0x41d11ff, 0xe96ce535, 0x418a46d, 0xe978a7dd, - 0x414392b, 0xe9846b63, 0x40fd037, 0xe9902fc7, - 0x40b6994, 0xe99bf509, 0x4070540, 0xe9a7bb28, - 0x402a33c, 0xe9b38223, 0x3fe4388, 0xe9bf49fa, - 0x3f9e624, 0xe9cb12ad, 0x3f58b10, 0xe9d6dc3b, - 0x3f1324e, 0xe9e2a6a3, 0x3ecdbdc, 0xe9ee71e6, - 0x3e887bb, 0xe9fa3e03, 0x3e435ea, 0xea060af9, - 0x3dfe66c, 0xea11d8c8, 0x3db993e, 0xea1da770, - 0x3d74e62, 0xea2976ef, 0x3d305d8, 0xea354746, - 0x3cebfa0, 0xea411874, 0x3ca7bba, 0xea4cea79, - 0x3c63a26, 0xea58bd54, 0x3c1fae5, 0xea649105, - 0x3bdbdf6, 0xea70658a, 0x3b9835a, 0xea7c3ae5, - 0x3b54b11, 0xea881114, 0x3b1151b, 0xea93e817, - 0x3ace178, 0xea9fbfed, 0x3a8b028, 0xeaab9896, - 0x3a4812c, 0xeab77212, 0x3a05484, 0xeac34c60, - 0x39c2a2f, 0xeacf277f, 0x398022f, 0xeadb0370, - 0x393dc82, 0xeae6e031, 0x38fb92a, 0xeaf2bdc3, - 0x38b9827, 0xeafe9c24, 0x3877978, 0xeb0a7b54, - 0x3835d1e, 0xeb165b54, 0x37f4319, 0xeb223c22, - 0x37b2b6a, 0xeb2e1dbe, 0x377160f, 0xeb3a0027, - 0x373030a, 0xeb45e35d, 0x36ef25b, 0xeb51c760, - 0x36ae401, 0xeb5dac2f, 0x366d7fd, 0xeb6991ca, - 0x362ce50, 0xeb75782f, 0x35ec6f8, 0xeb815f60, - 0x35ac1f7, 0xeb8d475b, 0x356bf4d, 0xeb99301f, - 0x352bef9, 0xeba519ad, 0x34ec0fc, 0xebb10404, - 0x34ac556, 0xebbcef23, 0x346cc07, 0xebc8db0b, - 0x342d510, 0xebd4c7ba, 0x33ee070, 0xebe0b52f, - 0x33aee27, 0xebeca36c, 0x336fe37, 0xebf8926f, - 0x333109e, 0xec048237, 0x32f255e, 0xec1072c4, - 0x32b3c75, 0xec1c6417, 0x32755e5, 0xec28562d, - 0x32371ae, 0xec344908, 0x31f8fcf, 0xec403ca5, - 0x31bb049, 0xec4c3106, 0x317d31c, 0xec582629, - 0x313f848, 0xec641c0e, 0x3101fce, 0xec7012b5, - 0x30c49ad, 0xec7c0a1d, 0x30875e5, 0xec880245, - 0x304a477, 0xec93fb2e, 0x300d563, 0xec9ff4d6, - 0x2fd08a9, 0xecabef3d, 0x2f93e4a, 0xecb7ea63, - 0x2f57644, 0xecc3e648, 0x2f1b099, 0xeccfe2ea, - 0x2eded49, 0xecdbe04a, 0x2ea2c53, 0xece7de66, - 0x2e66db8, 0xecf3dd3f, 0x2e2b178, 0xecffdcd4, - 0x2def794, 0xed0bdd25, 0x2db400a, 0xed17de31, - 0x2d78add, 0xed23dff7, 0x2d3d80a, 0xed2fe277, - 0x2d02794, 0xed3be5b1, 0x2cc7979, 0xed47e9a5, - 0x2c8cdbb, 0xed53ee51, 0x2c52459, 0xed5ff3b5, - 0x2c17d52, 0xed6bf9d1, 0x2bdd8a9, 0xed7800a5, - 0x2ba365c, 0xed84082f, 0x2b6966c, 0xed901070, - 0x2b2f8d8, 0xed9c1967, 0x2af5da2, 0xeda82313, - 0x2abc4c9, 0xedb42d74, 0x2a82e4d, 0xedc0388a, - 0x2a49a2e, 0xedcc4454, 0x2a1086d, 0xedd850d2, - 0x29d790a, 0xede45e03, 0x299ec05, 0xedf06be6, - 0x296615d, 0xedfc7a7c, 0x292d914, 0xee0889c4, - 0x28f5329, 0xee1499bd, 0x28bcf9c, 0xee20aa67, - 0x2884e6e, 0xee2cbbc1, 0x284cf9f, 0xee38cdcb, - 0x281532e, 0xee44e084, 0x27dd91c, 0xee50f3ed, - 0x27a616a, 0xee5d0804, 0x276ec16, 0xee691cc9, - 0x2737922, 0xee75323c, 0x270088e, 0xee81485c, - 0x26c9a58, 0xee8d5f29, 0x2692e83, 0xee9976a1, - 0x265c50e, 0xeea58ec6, 0x2625df8, 0xeeb1a796, - 0x25ef943, 0xeebdc110, 0x25b96ee, 0xeec9db35, - 0x25836f9, 0xeed5f604, 0x254d965, 0xeee2117c, - 0x2517e31, 0xeeee2d9d, 0x24e255e, 0xeefa4a67, - 0x24aceed, 0xef0667d9, 0x2477adc, 0xef1285f2, - 0x244292c, 0xef1ea4b2, 0x240d9de, 0xef2ac419, - 0x23d8cf1, 0xef36e426, 0x23a4265, 0xef4304d8, - 0x236fa3b, 0xef4f2630, 0x233b473, 0xef5b482d, - 0x230710d, 0xef676ace, 0x22d3009, 0xef738e12, - 0x229f167, 0xef7fb1fa, 0x226b528, 0xef8bd685, - 0x2237b4b, 0xef97fbb2, 0x22043d0, 0xefa42181, - 0x21d0eb8, 0xefb047f2, 0x219dc03, 0xefbc6f03, - 0x216abb1, 0xefc896b5, 0x2137dc2, 0xefd4bf08, - 0x2105236, 0xefe0e7f9, 0x20d290d, 0xefed118a, - 0x20a0248, 0xeff93bba, 0x206dde6, 0xf0056687, - 0x203bbe8, 0xf01191f3, 0x2009c4e, 0xf01dbdfb, - 0x1fd7f17, 0xf029eaa1, 0x1fa6445, 0xf03617e2, - 0x1f74bd6, 0xf04245c0, 0x1f435cc, 0xf04e7438, - 0x1f12227, 0xf05aa34c, 0x1ee10e5, 0xf066d2fa, - 0x1eb0209, 0xf0730342, 0x1e7f591, 0xf07f3424, - 0x1e4eb7e, 0xf08b659f, 0x1e1e3d0, 0xf09797b2, - 0x1dede87, 0xf0a3ca5d, 0x1dbdba3, 0xf0affda0, - 0x1d8db25, 0xf0bc317a, 0x1d5dd0c, 0xf0c865ea, - 0x1d2e158, 0xf0d49af1, 0x1cfe80a, 0xf0e0d08d, - 0x1ccf122, 0xf0ed06bf, 0x1c9fca0, 0xf0f93d86, - 0x1c70a84, 0xf10574e0, 0x1c41ace, 0xf111accf, - 0x1c12d7e, 0xf11de551, 0x1be4294, 0xf12a1e66, - 0x1bb5a11, 0xf136580d, 0x1b873f5, 0xf1429247, - 0x1b5903f, 0xf14ecd11, 0x1b2aef0, 0xf15b086d, - 0x1afd007, 0xf1674459, 0x1acf386, 0xf17380d6, - 0x1aa196c, 0xf17fbde2, 0x1a741b9, 0xf18bfb7d, - 0x1a46c6e, 0xf19839a6, 0x1a1998a, 0xf1a4785e, - 0x19ec90d, 0xf1b0b7a4, 0x19bfaf9, 0xf1bcf777, - 0x1992f4c, 0xf1c937d6, 0x1966606, 0xf1d578c2, - 0x1939f29, 0xf1e1ba3a, 0x190dab4, 0xf1edfc3d, - 0x18e18a7, 0xf1fa3ecb, 0x18b5903, 0xf20681e3, - 0x1889bc6, 0xf212c585, 0x185e0f3, 0xf21f09b1, - 0x1832888, 0xf22b4e66, 0x1807285, 0xf23793a3, - 0x17dbeec, 0xf243d968, 0x17b0dbb, 0xf2501fb5, - 0x1785ef4, 0xf25c6688, 0x175b296, 0xf268ade3, - 0x17308a1, 0xf274f5c3, 0x1706115, 0xf2813e2a, - 0x16dbbf3, 0xf28d8715, 0x16b193a, 0xf299d085, - 0x16878eb, 0xf2a61a7a, 0x165db05, 0xf2b264f2, - 0x1633f8a, 0xf2beafed, 0x160a678, 0xf2cafb6b, - 0x15e0fd1, 0xf2d7476c, 0x15b7b94, 0xf2e393ef, - 0x158e9c1, 0xf2efe0f2, 0x1565a58, 0xf2fc2e77, - 0x153cd5a, 0xf3087c7d, 0x15142c6, 0xf314cb02, - 0x14eba9d, 0xf3211a07, 0x14c34df, 0xf32d698a, - 0x149b18b, 0xf339b98d, 0x14730a3, 0xf3460a0d, - 0x144b225, 0xf3525b0b, 0x1423613, 0xf35eac86, - 0x13fbc6c, 0xf36afe7e, 0x13d4530, 0xf37750f2, - 0x13ad060, 0xf383a3e2, 0x1385dfb, 0xf38ff74d, - 0x135ee02, 0xf39c4b32, 0x1338075, 0xf3a89f92, - 0x1311553, 0xf3b4f46c, 0x12eac9d, 0xf3c149bf, - 0x12c4653, 0xf3cd9f8b, 0x129e276, 0xf3d9f5cf, - 0x1278104, 0xf3e64c8c, 0x12521ff, 0xf3f2a3bf, - 0x122c566, 0xf3fefb6a, 0x1206b39, 0xf40b538b, - 0x11e1379, 0xf417ac22, 0x11bbe26, 0xf424052f, - 0x1196b3f, 0xf4305eb0, 0x1171ac6, 0xf43cb8a7, - 0x114ccb9, 0xf4491311, 0x1128119, 0xf4556def, - 0x11037e6, 0xf461c940, 0x10df120, 0xf46e2504, - 0x10bacc8, 0xf47a8139, 0x1096add, 0xf486dde1, - 0x1072b5f, 0xf4933afa, 0x104ee4f, 0xf49f9884, - 0x102b3ac, 0xf4abf67e, 0x1007b77, 0xf4b854e7, - 0xfe45b0, 0xf4c4b3c0, 0xfc1257, 0xf4d11308, - 0xf9e16b, 0xf4dd72be, 0xf7b2ee, 0xf4e9d2e3, - 0xf586df, 0xf4f63374, 0xf35d3e, 0xf5029473, - 0xf1360b, 0xf50ef5de, 0xef1147, 0xf51b57b5, - 0xeceef1, 0xf527b9f7, 0xeacf09, 0xf5341ca5, - 0xe8b190, 0xf5407fbd, 0xe69686, 0xf54ce33f, - 0xe47deb, 0xf559472b, 0xe267be, 0xf565ab80, - 0xe05401, 0xf572103d, 0xde42b2, 0xf57e7563, - 0xdc33d2, 0xf58adaf0, 0xda2762, 0xf59740e5, - 0xd81d61, 0xf5a3a740, 0xd615cf, 0xf5b00e02, - 0xd410ad, 0xf5bc7529, 0xd20dfa, 0xf5c8dcb6, - 0xd00db6, 0xf5d544a7, 0xce0fe3, 0xf5e1acfd, - 0xcc147f, 0xf5ee15b7, 0xca1b8a, 0xf5fa7ed4, - 0xc82506, 0xf606e854, 0xc630f2, 0xf6135237, - 0xc43f4d, 0xf61fbc7b, 0xc25019, 0xf62c2721, - 0xc06355, 0xf6389228, 0xbe7901, 0xf644fd8f, - 0xbc911d, 0xf6516956, 0xbaabaa, 0xf65dd57d, - 0xb8c8a7, 0xf66a4203, 0xb6e815, 0xf676aee8, - 0xb509f3, 0xf6831c2b, 0xb32e42, 0xf68f89cb, - 0xb15502, 0xf69bf7c9, 0xaf7e33, 0xf6a86623, - 0xada9d4, 0xf6b4d4d9, 0xabd7e6, 0xf6c143ec, - 0xaa086a, 0xf6cdb359, 0xa83b5e, 0xf6da2321, - 0xa670c4, 0xf6e69344, 0xa4a89b, 0xf6f303c0, - 0xa2e2e3, 0xf6ff7496, 0xa11f9d, 0xf70be5c4, - 0x9f5ec8, 0xf718574b, 0x9da065, 0xf724c92a, - 0x9be473, 0xf7313b60, 0x9a2af3, 0xf73daded, - 0x9873e4, 0xf74a20d0, 0x96bf48, 0xf756940a, - 0x950d1d, 0xf7630799, 0x935d64, 0xf76f7b7d, - 0x91b01d, 0xf77befb5, 0x900548, 0xf7886442, - 0x8e5ce5, 0xf794d922, 0x8cb6f5, 0xf7a14e55, - 0x8b1376, 0xf7adc3db, 0x89726a, 0xf7ba39b3, - 0x87d3d0, 0xf7c6afdc, 0x8637a9, 0xf7d32657, - 0x849df4, 0xf7df9d22, 0x8306b2, 0xf7ec143e, - 0x8171e2, 0xf7f88ba9, 0x7fdf85, 0xf8050364, - 0x7e4f9b, 0xf8117b6d, 0x7cc223, 0xf81df3c5, - 0x7b371e, 0xf82a6c6a, 0x79ae8c, 0xf836e55d, - 0x78286e, 0xf8435e9d, 0x76a4c2, 0xf84fd829, - 0x752389, 0xf85c5201, 0x73a4c3, 0xf868cc24, - 0x722871, 0xf8754692, 0x70ae92, 0xf881c14b, - 0x6f3726, 0xf88e3c4d, 0x6dc22e, 0xf89ab799, - 0x6c4fa8, 0xf8a7332e, 0x6adf97, 0xf8b3af0c, - 0x6971f9, 0xf8c02b31, 0x6806ce, 0xf8cca79e, - 0x669e18, 0xf8d92452, 0x6537d4, 0xf8e5a14d, - 0x63d405, 0xf8f21e8e, 0x6272aa, 0xf8fe9c15, - 0x6113c2, 0xf90b19e0, 0x5fb74e, 0xf91797f0, - 0x5e5d4e, 0xf9241645, 0x5d05c3, 0xf93094dd, - 0x5bb0ab, 0xf93d13b8, 0x5a5e07, 0xf94992d7, - 0x590dd8, 0xf9561237, 0x57c01d, 0xf96291d9, - 0x5674d6, 0xf96f11bc, 0x552c03, 0xf97b91e1, - 0x53e5a5, 0xf9881245, 0x52a1bb, 0xf99492ea, - 0x516045, 0xf9a113cd, 0x502145, 0xf9ad94f0, - 0x4ee4b8, 0xf9ba1651, 0x4daaa1, 0xf9c697f0, - 0x4c72fe, 0xf9d319cc, 0x4b3dcf, 0xf9df9be6, - 0x4a0b16, 0xf9ec1e3b, 0x48dad1, 0xf9f8a0cd, - 0x47ad01, 0xfa05239a, 0x4681a6, 0xfa11a6a3, - 0x4558c0, 0xfa1e29e5, 0x44324f, 0xfa2aad62, - 0x430e53, 0xfa373119, 0x41eccc, 0xfa43b508, - 0x40cdba, 0xfa503930, 0x3fb11d, 0xfa5cbd91, - 0x3e96f6, 0xfa694229, 0x3d7f44, 0xfa75c6f8, - 0x3c6a07, 0xfa824bfd, 0x3b573f, 0xfa8ed139, - 0x3a46ed, 0xfa9b56ab, 0x393910, 0xfaa7dc52, - 0x382da8, 0xfab4622d, 0x3724b6, 0xfac0e83d, - 0x361e3a, 0xfacd6e81, 0x351a33, 0xfad9f4f8, - 0x3418a2, 0xfae67ba2, 0x331986, 0xfaf3027e, - 0x321ce0, 0xfaff898c, 0x3122b0, 0xfb0c10cb, - 0x302af5, 0xfb18983b, 0x2f35b1, 0xfb251fdc, - 0x2e42e2, 0xfb31a7ac, 0x2d5289, 0xfb3e2fac, - 0x2c64a6, 0xfb4ab7db, 0x2b7939, 0xfb574039, - 0x2a9042, 0xfb63c8c4, 0x29a9c1, 0xfb70517d, - 0x28c5b6, 0xfb7cda63, 0x27e421, 0xfb896375, - 0x270502, 0xfb95ecb4, 0x262859, 0xfba2761e, - 0x254e27, 0xfbaeffb3, 0x24766a, 0xfbbb8973, - 0x23a124, 0xfbc8135c, 0x22ce54, 0xfbd49d70, - 0x21fdfb, 0xfbe127ac, 0x213018, 0xfbedb212, - 0x2064ab, 0xfbfa3c9f, 0x1f9bb5, 0xfc06c754, - 0x1ed535, 0xfc135231, 0x1e112b, 0xfc1fdd34, - 0x1d4f99, 0xfc2c685d, 0x1c907c, 0xfc38f3ac, - 0x1bd3d6, 0xfc457f21, 0x1b19a7, 0xfc520aba, - 0x1a61ee, 0xfc5e9678, 0x19acac, 0xfc6b2259, - 0x18f9e1, 0xfc77ae5e, 0x18498c, 0xfc843a85, - 0x179bae, 0xfc90c6cf, 0x16f047, 0xfc9d533b, - 0x164757, 0xfca9dfc8, 0x15a0dd, 0xfcb66c77, - 0x14fcda, 0xfcc2f945, 0x145b4e, 0xfccf8634, - 0x13bc39, 0xfcdc1342, 0x131f9b, 0xfce8a06f, - 0x128574, 0xfcf52dbb, 0x11edc3, 0xfd01bb24, - 0x11588a, 0xfd0e48ab, 0x10c5c7, 0xfd1ad650, - 0x10357c, 0xfd276410, 0xfa7a8, 0xfd33f1ed, - 0xf1c4a, 0xfd407fe6, 0xe9364, 0xfd4d0df9, - 0xe0cf5, 0xfd599c28, 0xd88fd, 0xfd662a70, - 0xd077c, 0xfd72b8d2, 0xc8872, 0xfd7f474d, - 0xc0be0, 0xfd8bd5e1, 0xb91c4, 0xfd98648d, - 0xb1a20, 0xfda4f351, 0xaa4f3, 0xfdb1822c, - 0xa323d, 0xfdbe111e, 0x9c1ff, 0xfdcaa027, - 0x95438, 0xfdd72f45, 0x8e8e8, 0xfde3be78, - 0x8800f, 0xfdf04dc0, 0x819ae, 0xfdfcdd1d, - 0x7b5c4, 0xfe096c8d, 0x75452, 0xfe15fc11, - 0x6f556, 0xfe228ba7, 0x698d3, 0xfe2f1b50, - 0x63ec6, 0xfe3bab0b, 0x5e731, 0xfe483ad8, - 0x59214, 0xfe54cab5, 0x53f6e, 0xfe615aa3, - 0x4ef3f, 0xfe6deaa1, 0x4a188, 0xfe7a7aae, - 0x45648, 0xfe870aca, 0x40d80, 0xfe939af5, - 0x3c72f, 0xfea02b2e, 0x38356, 0xfeacbb74, - 0x341f4, 0xfeb94bc8, 0x3030a, 0xfec5dc28, - 0x2c697, 0xfed26c94, 0x28c9c, 0xfedefd0c, - 0x25519, 0xfeeb8d8f, 0x2200d, 0xfef81e1d, - 0x1ed78, 0xff04aeb5, 0x1bd5c, 0xff113f56, - 0x18fb6, 0xff1dd001, 0x16489, 0xff2a60b4, - 0x13bd3, 0xff36f170, 0x11594, 0xff438234, - 0xf1ce, 0xff5012fe, 0xd07e, 0xff5ca3d0, - 0xb1a7, 0xff6934a8, 0x9547, 0xff75c585, - 0x7b5f, 0xff825668, 0x63ee, 0xff8ee750, - 0x4ef5, 0xff9b783c, 0x3c74, 0xffa8092c, - 0x2c6a, 0xffb49a1f, 0x1ed8, 0xffc12b16, - 0x13bd, 0xffcdbc0f, 0xb1a, 0xffda4d09, - 0x4ef, 0xffe6de05, 0x13c, 0xfff36f02, - 0x0, 0x0, 0x13c, 0xc90fe, - 0x4ef, 0x1921fb, 0xb1a, 0x25b2f7, - 0x13bd, 0x3243f1, 0x1ed8, 0x3ed4ea, - 0x2c6a, 0x4b65e1, 0x3c74, 0x57f6d4, - 0x4ef5, 0x6487c4, 0x63ee, 0x7118b0, - 0x7b5f, 0x7da998, 0x9547, 0x8a3a7b, - 0xb1a7, 0x96cb58, 0xd07e, 0xa35c30, - 0xf1ce, 0xafed02, 0x11594, 0xbc7dcc, - 0x13bd3, 0xc90e90, 0x16489, 0xd59f4c, - 0x18fb6, 0xe22fff, 0x1bd5c, 0xeec0aa, - 0x1ed78, 0xfb514b, 0x2200d, 0x107e1e3, - 0x25519, 0x1147271, 0x28c9c, 0x12102f4, - 0x2c697, 0x12d936c, 0x3030a, 0x13a23d8, - 0x341f4, 0x146b438, 0x38356, 0x153448c, - 0x3c72f, 0x15fd4d2, 0x40d80, 0x16c650b, - 0x45648, 0x178f536, 0x4a188, 0x1858552, - 0x4ef3f, 0x192155f, 0x53f6e, 0x19ea55d, - 0x59214, 0x1ab354b, 0x5e731, 0x1b7c528, - 0x63ec6, 0x1c454f5, 0x698d3, 0x1d0e4b0, - 0x6f556, 0x1dd7459, 0x75452, 0x1ea03ef, - 0x7b5c4, 0x1f69373, 0x819ae, 0x20322e3, - 0x8800f, 0x20fb240, 0x8e8e8, 0x21c4188, - 0x95438, 0x228d0bb, 0x9c1ff, 0x2355fd9, - 0xa323d, 0x241eee2, 0xaa4f3, 0x24e7dd4, - 0xb1a20, 0x25b0caf, 0xb91c4, 0x2679b73, - 0xc0be0, 0x2742a1f, 0xc8872, 0x280b8b3, - 0xd077c, 0x28d472e, 0xd88fd, 0x299d590, - 0xe0cf5, 0x2a663d8, 0xe9364, 0x2b2f207, - 0xf1c4a, 0x2bf801a, 0xfa7a8, 0x2cc0e13, - 0x10357c, 0x2d89bf0, 0x10c5c7, 0x2e529b0, - 0x11588a, 0x2f1b755, 0x11edc3, 0x2fe44dc, - 0x128574, 0x30ad245, 0x131f9b, 0x3175f91, - 0x13bc39, 0x323ecbe, 0x145b4e, 0x33079cc, - 0x14fcda, 0x33d06bb, 0x15a0dd, 0x3499389, - 0x164757, 0x3562038, 0x16f047, 0x362acc5, - 0x179bae, 0x36f3931, 0x18498c, 0x37bc57b, - 0x18f9e1, 0x38851a2, 0x19acac, 0x394dda7, - 0x1a61ee, 0x3a16988, 0x1b19a7, 0x3adf546, - 0x1bd3d6, 0x3ba80df, 0x1c907c, 0x3c70c54, - 0x1d4f99, 0x3d397a3, 0x1e112b, 0x3e022cc, - 0x1ed535, 0x3ecadcf, 0x1f9bb5, 0x3f938ac, - 0x2064ab, 0x405c361, 0x213018, 0x4124dee, - 0x21fdfb, 0x41ed854, 0x22ce54, 0x42b6290, - 0x23a124, 0x437eca4, 0x24766a, 0x444768d, - 0x254e27, 0x451004d, 0x262859, 0x45d89e2, - 0x270502, 0x46a134c, 0x27e421, 0x4769c8b, - 0x28c5b6, 0x483259d, 0x29a9c1, 0x48fae83, - 0x2a9042, 0x49c373c, 0x2b7939, 0x4a8bfc7, - 0x2c64a6, 0x4b54825, 0x2d5289, 0x4c1d054, - 0x2e42e2, 0x4ce5854, 0x2f35b1, 0x4dae024, - 0x302af5, 0x4e767c5, 0x3122b0, 0x4f3ef35, - 0x321ce0, 0x5007674, 0x331986, 0x50cfd82, - 0x3418a2, 0x519845e, 0x351a33, 0x5260b08, - 0x361e3a, 0x532917f, 0x3724b6, 0x53f17c3, - 0x382da8, 0x54b9dd3, 0x393910, 0x55823ae, - 0x3a46ed, 0x564a955, 0x3b573f, 0x5712ec7, - 0x3c6a07, 0x57db403, 0x3d7f44, 0x58a3908, - 0x3e96f6, 0x596bdd7, 0x3fb11d, 0x5a3426f, - 0x40cdba, 0x5afc6d0, 0x41eccc, 0x5bc4af8, - 0x430e53, 0x5c8cee7, 0x44324f, 0x5d5529e, - 0x4558c0, 0x5e1d61b, 0x4681a6, 0x5ee595d, - 0x47ad01, 0x5fadc66, 0x48dad1, 0x6075f33, - 0x4a0b16, 0x613e1c5, 0x4b3dcf, 0x620641a, - 0x4c72fe, 0x62ce634, 0x4daaa1, 0x6396810, - 0x4ee4b8, 0x645e9af, 0x502145, 0x6526b10, - 0x516045, 0x65eec33, 0x52a1bb, 0x66b6d16, - 0x53e5a5, 0x677edbb, 0x552c03, 0x6846e1f, - 0x5674d6, 0x690ee44, 0x57c01d, 0x69d6e27, - 0x590dd8, 0x6a9edc9, 0x5a5e07, 0x6b66d29, - 0x5bb0ab, 0x6c2ec48, 0x5d05c3, 0x6cf6b23, - 0x5e5d4e, 0x6dbe9bb, 0x5fb74e, 0x6e86810, - 0x6113c2, 0x6f4e620, 0x6272aa, 0x70163eb, - 0x63d405, 0x70de172, 0x6537d4, 0x71a5eb3, - 0x669e18, 0x726dbae, 0x6806ce, 0x7335862, - 0x6971f9, 0x73fd4cf, 0x6adf97, 0x74c50f4, - 0x6c4fa8, 0x758ccd2, 0x6dc22e, 0x7654867, - 0x6f3726, 0x771c3b3, 0x70ae92, 0x77e3eb5, - 0x722871, 0x78ab96e, 0x73a4c3, 0x79733dc, - 0x752389, 0x7a3adff, 0x76a4c2, 0x7b027d7, - 0x78286e, 0x7bca163, 0x79ae8c, 0x7c91aa3, - 0x7b371e, 0x7d59396, 0x7cc223, 0x7e20c3b, - 0x7e4f9b, 0x7ee8493, 0x7fdf85, 0x7fafc9c, - 0x8171e2, 0x8077457, 0x8306b2, 0x813ebc2, - 0x849df4, 0x82062de, 0x8637a9, 0x82cd9a9, - 0x87d3d0, 0x8395024, 0x89726a, 0x845c64d, - 0x8b1376, 0x8523c25, 0x8cb6f5, 0x85eb1ab, - 0x8e5ce5, 0x86b26de, 0x900548, 0x8779bbe, - 0x91b01d, 0x884104b, 0x935d64, 0x8908483, - 0x950d1d, 0x89cf867, 0x96bf48, 0x8a96bf6, - 0x9873e4, 0x8b5df30, 0x9a2af3, 0x8c25213, - 0x9be473, 0x8cec4a0, 0x9da065, 0x8db36d6, - 0x9f5ec8, 0x8e7a8b5, 0xa11f9d, 0x8f41a3c, - 0xa2e2e3, 0x9008b6a, 0xa4a89b, 0x90cfc40, - 0xa670c4, 0x9196cbc, 0xa83b5e, 0x925dcdf, - 0xaa086a, 0x9324ca7, 0xabd7e6, 0x93ebc14, - 0xada9d4, 0x94b2b27, 0xaf7e33, 0x95799dd, - 0xb15502, 0x9640837, 0xb32e42, 0x9707635, - 0xb509f3, 0x97ce3d5, 0xb6e815, 0x9895118, - 0xb8c8a7, 0x995bdfd, 0xbaabaa, 0x9a22a83, - 0xbc911d, 0x9ae96aa, 0xbe7901, 0x9bb0271, - 0xc06355, 0x9c76dd8, 0xc25019, 0x9d3d8df, - 0xc43f4d, 0x9e04385, 0xc630f2, 0x9ecadc9, - 0xc82506, 0x9f917ac, 0xca1b8a, 0xa05812c, - 0xcc147f, 0xa11ea49, 0xce0fe3, 0xa1e5303, - 0xd00db6, 0xa2abb59, 0xd20dfa, 0xa37234a, - 0xd410ad, 0xa438ad7, 0xd615cf, 0xa4ff1fe, - 0xd81d61, 0xa5c58c0, 0xda2762, 0xa68bf1b, - 0xdc33d2, 0xa752510, 0xde42b2, 0xa818a9d, - 0xe05401, 0xa8defc3, 0xe267be, 0xa9a5480, - 0xe47deb, 0xaa6b8d5, 0xe69686, 0xab31cc1, - 0xe8b190, 0xabf8043, 0xeacf09, 0xacbe35b, - 0xeceef1, 0xad84609, 0xef1147, 0xae4a84b, - 0xf1360b, 0xaf10a22, 0xf35d3e, 0xafd6b8d, - 0xf586df, 0xb09cc8c, 0xf7b2ee, 0xb162d1d, - 0xf9e16b, 0xb228d42, 0xfc1257, 0xb2eecf8, - 0xfe45b0, 0xb3b4c40, 0x1007b77, 0xb47ab19, - 0x102b3ac, 0xb540982, 0x104ee4f, 0xb60677c, - 0x1072b5f, 0xb6cc506, 0x1096add, 0xb79221f, - 0x10bacc8, 0xb857ec7, 0x10df120, 0xb91dafc, - 0x11037e6, 0xb9e36c0, 0x1128119, 0xbaa9211, - 0x114ccb9, 0xbb6ecef, 0x1171ac6, 0xbc34759, - 0x1196b3f, 0xbcfa150, 0x11bbe26, 0xbdbfad1, - 0x11e1379, 0xbe853de, 0x1206b39, 0xbf4ac75, - 0x122c566, 0xc010496, 0x12521ff, 0xc0d5c41, - 0x1278104, 0xc19b374, 0x129e276, 0xc260a31, - 0x12c4653, 0xc326075, 0x12eac9d, 0xc3eb641, - 0x1311553, 0xc4b0b94, 0x1338075, 0xc57606e, - 0x135ee02, 0xc63b4ce, 0x1385dfb, 0xc7008b3, - 0x13ad060, 0xc7c5c1e, 0x13d4530, 0xc88af0e, - 0x13fbc6c, 0xc950182, 0x1423613, 0xca1537a, - 0x144b225, 0xcada4f5, 0x14730a3, 0xcb9f5f3, - 0x149b18b, 0xcc64673, 0x14c34df, 0xcd29676, - 0x14eba9d, 0xcdee5f9, 0x15142c6, 0xceb34fe, - 0x153cd5a, 0xcf78383, 0x1565a58, 0xd03d189, - 0x158e9c1, 0xd101f0e, 0x15b7b94, 0xd1c6c11, - 0x15e0fd1, 0xd28b894, 0x160a678, 0xd350495, - 0x1633f8a, 0xd415013, 0x165db05, 0xd4d9b0e, - 0x16878eb, 0xd59e586, 0x16b193a, 0xd662f7b, - 0x16dbbf3, 0xd7278eb, 0x1706115, 0xd7ec1d6, - 0x17308a1, 0xd8b0a3d, 0x175b296, 0xd97521d, - 0x1785ef4, 0xda39978, 0x17b0dbb, 0xdafe04b, - 0x17dbeec, 0xdbc2698, 0x1807285, 0xdc86c5d, - 0x1832888, 0xdd4b19a, 0x185e0f3, 0xde0f64f, - 0x1889bc6, 0xded3a7b, 0x18b5903, 0xdf97e1d, - 0x18e18a7, 0xe05c135, 0x190dab4, 0xe1203c3, - 0x1939f29, 0xe1e45c6, 0x1966606, 0xe2a873e, - 0x1992f4c, 0xe36c82a, 0x19bfaf9, 0xe430889, - 0x19ec90d, 0xe4f485c, 0x1a1998a, 0xe5b87a2, - 0x1a46c6e, 0xe67c65a, 0x1a741b9, 0xe740483, - 0x1aa196c, 0xe80421e, 0x1acf386, 0xe8c7f2a, - 0x1afd007, 0xe98bba7, 0x1b2aef0, 0xea4f793, - 0x1b5903f, 0xeb132ef, 0x1b873f5, 0xebd6db9, - 0x1bb5a11, 0xec9a7f3, 0x1be4294, 0xed5e19a, - 0x1c12d7e, 0xee21aaf, 0x1c41ace, 0xeee5331, - 0x1c70a84, 0xefa8b20, 0x1c9fca0, 0xf06c27a, - 0x1ccf122, 0xf12f941, 0x1cfe80a, 0xf1f2f73, - 0x1d2e158, 0xf2b650f, 0x1d5dd0c, 0xf379a16, - 0x1d8db25, 0xf43ce86, 0x1dbdba3, 0xf500260, - 0x1dede87, 0xf5c35a3, 0x1e1e3d0, 0xf68684e, - 0x1e4eb7e, 0xf749a61, 0x1e7f591, 0xf80cbdc, - 0x1eb0209, 0xf8cfcbe, 0x1ee10e5, 0xf992d06, - 0x1f12227, 0xfa55cb4, 0x1f435cc, 0xfb18bc8, - 0x1f74bd6, 0xfbdba40, 0x1fa6445, 0xfc9e81e, - 0x1fd7f17, 0xfd6155f, 0x2009c4e, 0xfe24205, - 0x203bbe8, 0xfee6e0d, 0x206dde6, 0xffa9979, - 0x20a0248, 0x1006c446, 0x20d290d, 0x1012ee76, - 0x2105236, 0x101f1807, 0x2137dc2, 0x102b40f8, - 0x216abb1, 0x1037694b, 0x219dc03, 0x104390fd, - 0x21d0eb8, 0x104fb80e, 0x22043d0, 0x105bde7f, - 0x2237b4b, 0x1068044e, 0x226b528, 0x1074297b, - 0x229f167, 0x10804e06, 0x22d3009, 0x108c71ee, - 0x230710d, 0x10989532, 0x233b473, 0x10a4b7d3, - 0x236fa3b, 0x10b0d9d0, 0x23a4265, 0x10bcfb28, - 0x23d8cf1, 0x10c91bda, 0x240d9de, 0x10d53be7, - 0x244292c, 0x10e15b4e, 0x2477adc, 0x10ed7a0e, - 0x24aceed, 0x10f99827, 0x24e255e, 0x1105b599, - 0x2517e31, 0x1111d263, 0x254d965, 0x111dee84, - 0x25836f9, 0x112a09fc, 0x25b96ee, 0x113624cb, - 0x25ef943, 0x11423ef0, 0x2625df8, 0x114e586a, - 0x265c50e, 0x115a713a, 0x2692e83, 0x1166895f, - 0x26c9a58, 0x1172a0d7, 0x270088e, 0x117eb7a4, - 0x2737922, 0x118acdc4, 0x276ec16, 0x1196e337, - 0x27a616a, 0x11a2f7fc, 0x27dd91c, 0x11af0c13, - 0x281532e, 0x11bb1f7c, 0x284cf9f, 0x11c73235, - 0x2884e6e, 0x11d3443f, 0x28bcf9c, 0x11df5599, - 0x28f5329, 0x11eb6643, 0x292d914, 0x11f7763c, - 0x296615d, 0x12038584, 0x299ec05, 0x120f941a, - 0x29d790a, 0x121ba1fd, 0x2a1086d, 0x1227af2e, - 0x2a49a2e, 0x1233bbac, 0x2a82e4d, 0x123fc776, - 0x2abc4c9, 0x124bd28c, 0x2af5da2, 0x1257dced, - 0x2b2f8d8, 0x1263e699, 0x2b6966c, 0x126fef90, - 0x2ba365c, 0x127bf7d1, 0x2bdd8a9, 0x1287ff5b, - 0x2c17d52, 0x1294062f, 0x2c52459, 0x12a00c4b, - 0x2c8cdbb, 0x12ac11af, 0x2cc7979, 0x12b8165b, - 0x2d02794, 0x12c41a4f, 0x2d3d80a, 0x12d01d89, - 0x2d78add, 0x12dc2009, 0x2db400a, 0x12e821cf, - 0x2def794, 0x12f422db, 0x2e2b178, 0x1300232c, - 0x2e66db8, 0x130c22c1, 0x2ea2c53, 0x1318219a, - 0x2eded49, 0x13241fb6, 0x2f1b099, 0x13301d16, - 0x2f57644, 0x133c19b8, 0x2f93e4a, 0x1348159d, - 0x2fd08a9, 0x135410c3, 0x300d563, 0x13600b2a, - 0x304a477, 0x136c04d2, 0x30875e5, 0x1377fdbb, - 0x30c49ad, 0x1383f5e3, 0x3101fce, 0x138fed4b, - 0x313f848, 0x139be3f2, 0x317d31c, 0x13a7d9d7, - 0x31bb049, 0x13b3cefa, 0x31f8fcf, 0x13bfc35b, - 0x32371ae, 0x13cbb6f8, 0x32755e5, 0x13d7a9d3, - 0x32b3c75, 0x13e39be9, 0x32f255e, 0x13ef8d3c, - 0x333109e, 0x13fb7dc9, 0x336fe37, 0x14076d91, - 0x33aee27, 0x14135c94, 0x33ee070, 0x141f4ad1, - 0x342d510, 0x142b3846, 0x346cc07, 0x143724f5, - 0x34ac556, 0x144310dd, 0x34ec0fc, 0x144efbfc, - 0x352bef9, 0x145ae653, 0x356bf4d, 0x1466cfe1, - 0x35ac1f7, 0x1472b8a5, 0x35ec6f8, 0x147ea0a0, - 0x362ce50, 0x148a87d1, 0x366d7fd, 0x14966e36, - 0x36ae401, 0x14a253d1, 0x36ef25b, 0x14ae38a0, - 0x373030a, 0x14ba1ca3, 0x377160f, 0x14c5ffd9, - 0x37b2b6a, 0x14d1e242, 0x37f4319, 0x14ddc3de, - 0x3835d1e, 0x14e9a4ac, 0x3877978, 0x14f584ac, - 0x38b9827, 0x150163dc, 0x38fb92a, 0x150d423d, - 0x393dc82, 0x15191fcf, 0x398022f, 0x1524fc90, - 0x39c2a2f, 0x1530d881, 0x3a05484, 0x153cb3a0, - 0x3a4812c, 0x15488dee, 0x3a8b028, 0x1554676a, - 0x3ace178, 0x15604013, 0x3b1151b, 0x156c17e9, - 0x3b54b11, 0x1577eeec, 0x3b9835a, 0x1583c51b, - 0x3bdbdf6, 0x158f9a76, 0x3c1fae5, 0x159b6efb, - 0x3c63a26, 0x15a742ac, 0x3ca7bba, 0x15b31587, - 0x3cebfa0, 0x15bee78c, 0x3d305d8, 0x15cab8ba, - 0x3d74e62, 0x15d68911, 0x3db993e, 0x15e25890, - 0x3dfe66c, 0x15ee2738, 0x3e435ea, 0x15f9f507, - 0x3e887bb, 0x1605c1fd, 0x3ecdbdc, 0x16118e1a, - 0x3f1324e, 0x161d595d, 0x3f58b10, 0x162923c5, - 0x3f9e624, 0x1634ed53, 0x3fe4388, 0x1640b606, - 0x402a33c, 0x164c7ddd, 0x4070540, 0x165844d8, - 0x40b6994, 0x16640af7, 0x40fd037, 0x166fd039, - 0x414392b, 0x167b949d, 0x418a46d, 0x16875823, - 0x41d11ff, 0x16931acb, 0x42181e0, 0x169edc94, - 0x425f410, 0x16aa9d7e, 0x42a688f, 0x16b65d88, - 0x42edf5c, 0x16c21cb2, 0x4335877, 0x16cddafb, - 0x437d3e1, 0x16d99864, 0x43c5199, 0x16e554ea, - 0x440d19e, 0x16f1108f, 0x44553f2, 0x16fccb51, - 0x449d892, 0x17088531, 0x44e5f80, 0x17143e2d, - 0x452e8bc, 0x171ff646, 0x4577444, 0x172bad7a, - 0x45c0219, 0x173763c9, 0x460923b, 0x17431933, - 0x46524a9, 0x174ecdb8, 0x469b963, 0x175a8157, - 0x46e5069, 0x1766340f, 0x472e9bc, 0x1771e5e0, - 0x477855a, 0x177d96ca, 0x47c2344, 0x178946cc, - 0x480c379, 0x1794f5e6, 0x48565f9, 0x17a0a417, - 0x48a0ac4, 0x17ac515f, 0x48eb1db, 0x17b7fdbd, - 0x4935b3c, 0x17c3a931, 0x49806e7, 0x17cf53bb, - 0x49cb4dd, 0x17dafd59, 0x4a1651c, 0x17e6a60c, - 0x4a617a6, 0x17f24dd3, 0x4aacc7a, 0x17fdf4ae, - 0x4af8397, 0x18099a9c, 0x4b43cfd, 0x18153f9d, - 0x4b8f8ad, 0x1820e3b0, 0x4bdb6a6, 0x182c86d5, - 0x4c276e8, 0x1838290c, 0x4c73972, 0x1843ca53, - 0x4cbfe45, 0x184f6aab, 0x4d0c560, 0x185b0a13, - 0x4d58ec3, 0x1866a88a, 0x4da5a6f, 0x18724611, - 0x4df2862, 0x187de2a7, 0x4e3f89c, 0x18897e4a, - 0x4e8cb1e, 0x189518fc, 0x4ed9fe7, 0x18a0b2bb, - 0x4f276f7, 0x18ac4b87, 0x4f7504e, 0x18b7e35f, - 0x4fc2bec, 0x18c37a44, 0x50109d0, 0x18cf1034, - 0x505e9fb, 0x18daa52f, 0x50acc6b, 0x18e63935, - 0x50fb121, 0x18f1cc45, 0x514981d, 0x18fd5e5f, - 0x519815f, 0x1908ef82, 0x51e6ce6, 0x19147fae, - 0x5235ab2, 0x19200ee3, 0x5284ac3, 0x192b9d1f, - 0x52d3d18, 0x19372a64, 0x53231b3, 0x1942b6af, - 0x5372891, 0x194e4201, 0x53c21b4, 0x1959cc5a, - 0x5411d1b, 0x196555b8, 0x5461ac6, 0x1970de1b, - 0x54b1ab4, 0x197c6584, 0x5501ce5, 0x1987ebf0, - 0x555215a, 0x19937161, 0x55a2812, 0x199ef5d6, - 0x55f310d, 0x19aa794d, 0x5643c4a, 0x19b5fbc8, - 0x56949ca, 0x19c17d44, 0x56e598c, 0x19ccfdc2, - 0x5736b90, 0x19d87d42, 0x5787fd6, 0x19e3fbc3, - 0x57d965d, 0x19ef7944, 0x582af26, 0x19faf5c5, - 0x587ca31, 0x1a067145, 0x58ce77c, 0x1a11ebc5, - 0x5920708, 0x1a1d6544, 0x59728d5, 0x1a28ddc0, - 0x59c4ce3, 0x1a34553b, 0x5a17330, 0x1a3fcbb3, - 0x5a69bbe, 0x1a4b4128, 0x5abc68c, 0x1a56b599, - 0x5b0f399, 0x1a622907, 0x5b622e6, 0x1a6d9b70, - 0x5bb5472, 0x1a790cd4, 0x5c0883d, 0x1a847d33, - 0x5c5be47, 0x1a8fec8c, 0x5caf690, 0x1a9b5adf, - 0x5d03118, 0x1aa6c82b, 0x5d56ddd, 0x1ab23471, - 0x5daace1, 0x1abd9faf, 0x5dfee22, 0x1ac909e5, - 0x5e531a1, 0x1ad47312, 0x5ea775e, 0x1adfdb37, - 0x5efbf58, 0x1aeb4253, 0x5f5098f, 0x1af6a865, - 0x5fa5603, 0x1b020d6c, 0x5ffa4b3, 0x1b0d716a, - 0x604f5a0, 0x1b18d45c, 0x60a48c9, 0x1b243643, - 0x60f9e2e, 0x1b2f971e, 0x614f5cf, 0x1b3af6ec, - 0x61a4fac, 0x1b4655ae, 0x61fabc4, 0x1b51b363, - 0x6250a18, 0x1b5d100a, 0x62a6aa6, 0x1b686ba3, - 0x62fcd6f, 0x1b73c62d, 0x6353273, 0x1b7f1fa9, - 0x63a99b1, 0x1b8a7815, 0x6400329, 0x1b95cf71, - 0x6456edb, 0x1ba125bd, 0x64adcc7, 0x1bac7af9, - 0x6504ced, 0x1bb7cf23, 0x655bf4c, 0x1bc3223c, - 0x65b33e4, 0x1bce7442, 0x660aab5, 0x1bd9c537, - 0x66623be, 0x1be51518, 0x66b9f01, 0x1bf063e6, - 0x6711c7b, 0x1bfbb1a0, 0x6769c2e, 0x1c06fe46, - 0x67c1e18, 0x1c1249d8, 0x681a23a, 0x1c1d9454, - 0x6872894, 0x1c28ddbb, 0x68cb124, 0x1c34260c, - 0x6923bec, 0x1c3f6d47, 0x697c8eb, 0x1c4ab36b, - 0x69d5820, 0x1c55f878, 0x6a2e98b, 0x1c613c6d, - 0x6a87d2d, 0x1c6c7f4a, 0x6ae1304, 0x1c77c10e, - 0x6b3ab12, 0x1c8301b9, 0x6b94554, 0x1c8e414b, - 0x6bee1cd, 0x1c997fc4, 0x6c4807a, 0x1ca4bd21, - 0x6ca215c, 0x1caff965, 0x6cfc472, 0x1cbb348d, - 0x6d569be, 0x1cc66e99, 0x6db113d, 0x1cd1a78a, - 0x6e0baf0, 0x1cdcdf5e, 0x6e666d7, 0x1ce81615, - 0x6ec14f2, 0x1cf34baf, 0x6f1c540, 0x1cfe802b, - 0x6f777c1, 0x1d09b389, 0x6fd2c75, 0x1d14e5c9, - 0x702e35c, 0x1d2016e9, 0x7089c75, 0x1d2b46ea, - 0x70e57c0, 0x1d3675cb, 0x714153e, 0x1d41a38c, - 0x719d4ed, 0x1d4cd02c, 0x71f96ce, 0x1d57fbaa, - 0x7255ae0, 0x1d632608, 0x72b2123, 0x1d6e4f43, - 0x730e997, 0x1d79775c, 0x736b43c, 0x1d849e51, - 0x73c8111, 0x1d8fc424, 0x7425016, 0x1d9ae8d2, - 0x748214c, 0x1da60c5d, 0x74df4b1, 0x1db12ec3, - 0x753ca46, 0x1dbc5004, 0x759a20a, 0x1dc7701f, - 0x75f7bfe, 0x1dd28f15, 0x7655820, 0x1dddace4, - 0x76b3671, 0x1de8c98c, 0x77116f0, 0x1df3e50d, - 0x776f99d, 0x1dfeff67, 0x77cde79, 0x1e0a1898, - 0x782c582, 0x1e1530a1, 0x788aeb9, 0x1e204781, - 0x78e9a1d, 0x1e2b5d38, 0x79487ae, 0x1e3671c5, - 0x79a776c, 0x1e418528, 0x7a06957, 0x1e4c9760, - 0x7a65d6e, 0x1e57a86d, 0x7ac53b1, 0x1e62b84f, - 0x7b24c20, 0x1e6dc705, 0x7b846ba, 0x1e78d48e, - 0x7be4381, 0x1e83e0eb, 0x7c44272, 0x1e8eec1b, - 0x7ca438f, 0x1e99f61d, 0x7d046d6, 0x1ea4fef0, - 0x7d64c47, 0x1eb00696, 0x7dc53e3, 0x1ebb0d0d, - 0x7e25daa, 0x1ec61254, 0x7e8699a, 0x1ed1166b, - 0x7ee77b3, 0x1edc1953, 0x7f487f6, 0x1ee71b0a, - 0x7fa9a62, 0x1ef21b90, 0x800aef7, 0x1efd1ae4, - 0x806c5b5, 0x1f081907, 0x80cde9b, 0x1f1315f7, - 0x812f9a9, 0x1f1e11b5, 0x81916df, 0x1f290c3f, - 0x81f363d, 0x1f340596, 0x82557c3, 0x1f3efdb9, - 0x82b7b70, 0x1f49f4a8, 0x831a143, 0x1f54ea62, - 0x837c93e, 0x1f5fdee6, 0x83df35f, 0x1f6ad235, - 0x8441fa6, 0x1f75c44e, 0x84a4e14, 0x1f80b531, - 0x8507ea7, 0x1f8ba4dc, 0x856b160, 0x1f969350, - 0x85ce63e, 0x1fa1808c, 0x8631d42, 0x1fac6c91, - 0x869566a, 0x1fb7575c, 0x86f91b7, 0x1fc240ef, - 0x875cf28, 0x1fcd2948, 0x87c0ebd, 0x1fd81067, - 0x8825077, 0x1fe2f64c, 0x8889454, 0x1feddaf6, - 0x88eda54, 0x1ff8be65, 0x8952278, 0x2003a099, - 0x89b6cbf, 0x200e8190, 0x8a1b928, 0x2019614c, - 0x8a807b4, 0x20243fca, 0x8ae5862, 0x202f1d0b, - 0x8b4ab32, 0x2039f90f, 0x8bb0023, 0x2044d3d4, - 0x8c15736, 0x204fad5b, 0x8c7b06b, 0x205a85a3, - 0x8ce0bc0, 0x20655cac, 0x8d46936, 0x20703275, - 0x8dac8cd, 0x207b06fe, 0x8e12a84, 0x2085da46, - 0x8e78e5b, 0x2090ac4d, 0x8edf452, 0x209b7d13, - 0x8f45c68, 0x20a64c97, 0x8fac69e, 0x20b11ad9, - 0x90132f2, 0x20bbe7d8, 0x907a166, 0x20c6b395, - 0x90e11f7, 0x20d17e0d, 0x91484a8, 0x20dc4742, - 0x91af976, 0x20e70f32, 0x9217062, 0x20f1d5de, - 0x927e96b, 0x20fc9b44, 0x92e6492, 0x21075f65, - 0x934e1d6, 0x21122240, 0x93b6137, 0x211ce3d5, - 0x941e2b4, 0x2127a423, 0x948664d, 0x21326329, - 0x94eec03, 0x213d20e8, 0x95573d4, 0x2147dd5f, - 0x95bfdc1, 0x2152988d, 0x96289c9, 0x215d5273, - 0x96917ec, 0x21680b0f, 0x96fa82a, 0x2172c262, - 0x9763a83, 0x217d786a, 0x97ccef5, 0x21882d28, - 0x9836582, 0x2192e09b, 0x989fe29, 0x219d92c2, - 0x99098e9, 0x21a8439e, 0x99735c2, 0x21b2f32e, - 0x99dd4b4, 0x21bda171, 0x9a475bf, 0x21c84e67, - 0x9ab18e3, 0x21d2fa0f, 0x9b1be1e, 0x21dda46a, - 0x9b86572, 0x21e84d76, 0x9bf0edd, 0x21f2f534, - 0x9c5ba60, 0x21fd9ba3, 0x9cc67fa, 0x220840c2, - 0x9d317ab, 0x2212e492, 0x9d9c973, 0x221d8711, - 0x9e07d51, 0x2228283f, 0x9e73346, 0x2232c81c, - 0x9edeb50, 0x223d66a8, 0x9f4a570, 0x224803e2, - 0x9fb61a5, 0x22529fca, 0xa021fef, 0x225d3a5e, - 0xa08e04f, 0x2267d3a0, 0xa0fa2c3, 0x22726b8e, - 0xa16674b, 0x227d0228, 0xa1d2de7, 0x2287976e, - 0xa23f698, 0x22922b5e, 0xa2ac15b, 0x229cbdfa, - 0xa318e32, 0x22a74f40, 0xa385d1d, 0x22b1df30, - 0xa3f2e19, 0x22bc6dca, 0xa460129, 0x22c6fb0c, - 0xa4cd64b, 0x22d186f8, 0xa53ad7e, 0x22dc118c, - 0xa5a86c4, 0x22e69ac8, 0xa61621b, 0x22f122ab, - 0xa683f83, 0x22fba936, 0xa6f1efc, 0x23062e67, - 0xa760086, 0x2310b23e, 0xa7ce420, 0x231b34bc, - 0xa83c9ca, 0x2325b5df, 0xa8ab184, 0x233035a7, - 0xa919b4e, 0x233ab414, 0xa988727, 0x23453125, - 0xa9f750f, 0x234facda, 0xaa66506, 0x235a2733, - 0xaad570c, 0x2364a02e, 0xab44b1f, 0x236f17cc, - 0xabb4141, 0x23798e0d, 0xac23971, 0x238402ef, - 0xac933ae, 0x238e7673, 0xad02ff8, 0x2398e898, - 0xad72e4f, 0x23a3595e, 0xade2eb3, 0x23adc8c4, - 0xae53123, 0x23b836ca, 0xaec35a0, 0x23c2a36f, - 0xaf33c28, 0x23cd0eb3, 0xafa44bc, 0x23d77896, - 0xb014f5b, 0x23e1e117, 0xb085c05, 0x23ec4837, - 0xb0f6aba, 0x23f6adf3, 0xb167b79, 0x2401124d, - 0xb1d8e43, 0x240b7543, 0xb24a316, 0x2415d6d5, - 0xb2bb9f4, 0x24203704, 0xb32d2da, 0x242a95ce, - 0xb39edca, 0x2434f332, 0xb410ac3, 0x243f4f32, - 0xb4829c4, 0x2449a9cc, 0xb4f4acd, 0x245402ff, - 0xb566ddf, 0x245e5acc, 0xb5d92f8, 0x2468b132, - 0xb64ba19, 0x24730631, 0xb6be341, 0x247d59c8, - 0xb730e70, 0x2487abf7, 0xb7a3ba5, 0x2491fcbe, - 0xb816ae1, 0x249c4c1b, 0xb889c23, 0x24a69a0f, - 0xb8fcf6b, 0x24b0e699, 0xb9704b9, 0x24bb31ba, - 0xb9e3c0b, 0x24c57b6f, 0xba57563, 0x24cfc3ba, - 0xbacb0bf, 0x24da0a9a, 0xbb3ee20, 0x24e4500e, - 0xbbb2d85, 0x24ee9415, 0xbc26eee, 0x24f8d6b0, - 0xbc9b25a, 0x250317df, 0xbd0f7ca, 0x250d57a0, - 0xbd83f3d, 0x251795f3, 0xbdf88b3, 0x2521d2d8, - 0xbe6d42b, 0x252c0e4f, 0xbee21a5, 0x25364857, - 0xbf57121, 0x254080ef, 0xbfcc29f, 0x254ab818, - 0xc04161e, 0x2554edd1, 0xc0b6b9e, 0x255f2219, - 0xc12c31f, 0x256954f1, 0xc1a1ca0, 0x25738657, - 0xc217822, 0x257db64c, 0xc28d5a3, 0x2587e4cf, - 0xc303524, 0x259211df, 0xc3796a5, 0x259c3d7c, - 0xc3efa25, 0x25a667a7, 0xc465fa3, 0x25b0905d, - 0xc4dc720, 0x25bab7a0, 0xc55309b, 0x25c4dd6e, - 0xc5c9c14, 0x25cf01c8, 0xc64098b, 0x25d924ac, - 0xc6b78ff, 0x25e3461b, 0xc72ea70, 0x25ed6614, - 0xc7a5dde, 0x25f78497, 0xc81d349, 0x2601a1a2, - 0xc894aaf, 0x260bbd37, 0xc90c412, 0x2615d754, - 0xc983f70, 0x261feffa, 0xc9fbcca, 0x262a0727, - 0xca73c1e, 0x26341cdb, 0xcaebd6e, 0x263e3117, - 0xcb640b8, 0x264843d9, 0xcbdc5fc, 0x26525521, - 0xcc54d3a, 0x265c64ef, 0xcccd671, 0x26667342, - 0xcd461a2, 0x2670801a, 0xcdbeecc, 0x267a8b77, - 0xce37def, 0x26849558, 0xceb0f0a, 0x268e9dbd, - 0xcf2a21d, 0x2698a4a6, 0xcfa3729, 0x26a2aa11, - 0xd01ce2b, 0x26acadff, 0xd096725, 0x26b6b070, - 0xd110216, 0x26c0b162, 0xd189efe, 0x26cab0d6, - 0xd203ddc, 0x26d4aecb, 0xd27deb0, 0x26deab41, - 0xd2f817b, 0x26e8a637, 0xd37263a, 0x26f29fad, - 0xd3eccef, 0x26fc97a3, 0xd467599, 0x27068e18, - 0xd4e2037, 0x2710830c, 0xd55ccca, 0x271a767e, - 0xd5d7b50, 0x2724686e, 0xd652bcb, 0x272e58dc, - 0xd6cde39, 0x273847c8, 0xd74929a, 0x27423530, - 0xd7c48ee, 0x274c2115, 0xd840134, 0x27560b76, - 0xd8bbb6d, 0x275ff452, 0xd937798, 0x2769dbaa, - 0xd9b35b4, 0x2773c17d, 0xda2f5c2, 0x277da5cb, - 0xdaab7c0, 0x27878893, 0xdb27bb0, 0x279169d5, - 0xdba4190, 0x279b4990, 0xdc20960, 0x27a527c4, - 0xdc9d320, 0x27af0472, 0xdd19ed0, 0x27b8df97, - 0xdd96c6f, 0x27c2b934, 0xde13bfd, 0x27cc9149, - 0xde90d79, 0x27d667d5, 0xdf0e0e4, 0x27e03cd8, - 0xdf8b63d, 0x27ea1052, 0xe008d84, 0x27f3e241, - 0xe0866b8, 0x27fdb2a7, 0xe1041d9, 0x28078181, - 0xe181ee8, 0x28114ed0, 0xe1ffde2, 0x281b1a94, - 0xe27dec9, 0x2824e4cc, 0xe2fc19c, 0x282ead78, - 0xe37a65b, 0x28387498, 0xe3f8d05, 0x28423a2a, - 0xe47759a, 0x284bfe2f, 0xe4f6019, 0x2855c0a6, - 0xe574c84, 0x285f8190, 0xe5f3ad8, 0x286940ea, - 0xe672b16, 0x2872feb6, 0xe6f1d3d, 0x287cbaf3, - 0xe77114e, 0x288675a0, 0xe7f0748, 0x28902ebd, - 0xe86ff2a, 0x2899e64a, 0xe8ef8f4, 0x28a39c46, - 0xe96f4a7, 0x28ad50b1, 0xe9ef241, 0x28b7038b, - 0xea6f1c2, 0x28c0b4d2, 0xeaef32b, 0x28ca6488, - 0xeb6f67a, 0x28d412ab, 0xebefbb0, 0x28ddbf3b, - 0xec702cb, 0x28e76a37, 0xecf0bcd, 0x28f113a0, - 0xed716b4, 0x28fabb75, 0xedf2380, 0x290461b5, - 0xee73231, 0x290e0661, 0xeef42c7, 0x2917a977, - 0xef75541, 0x29214af8, 0xeff699f, 0x292aeae3, - 0xf077fe1, 0x29348937, 0xf0f9805, 0x293e25f5, - 0xf17b20d, 0x2947c11c, 0xf1fcdf8, 0x29515aab, - 0xf27ebc5, 0x295af2a3, 0xf300b74, 0x29648902, - 0xf382d05, 0x296e1dc9, 0xf405077, 0x2977b0f7, - 0xf4875ca, 0x2981428c, 0xf509cfe, 0x298ad287, - 0xf58c613, 0x299460e8, 0xf60f108, 0x299dedaf, - 0xf691ddd, 0x29a778db, 0xf714c91, 0x29b1026c, - 0xf797d24, 0x29ba8a61, 0xf81af97, 0x29c410ba, - 0xf89e3e8, 0x29cd9578, 0xf921a17, 0x29d71899, - 0xf9a5225, 0x29e09a1c, 0xfa28c10, 0x29ea1a03, - 0xfaac7d8, 0x29f3984c, 0xfb3057d, 0x29fd14f6, - 0xfbb4500, 0x2a069003, 0xfc3865e, 0x2a100970, - 0xfcbc999, 0x2a19813f, 0xfd40eaf, 0x2a22f76e, - 0xfdc55a1, 0x2a2c6bfd, 0xfe49e6d, 0x2a35deeb, - 0xfece915, 0x2a3f503a, 0xff53597, 0x2a48bfe7, - 0xffd83f4, 0x2a522df3, 0x1005d42a, 0x2a5b9a5d, - 0x100e2639, 0x2a650525, 0x10167a22, 0x2a6e6e4b, - 0x101ecfe4, 0x2a77d5ce, 0x1027277e, 0x2a813bae, - 0x102f80f1, 0x2a8a9fea, 0x1037dc3b, 0x2a940283, - 0x1040395d, 0x2a9d6377, 0x10489856, 0x2aa6c2c6, - 0x1050f926, 0x2ab02071, 0x10595bcd, 0x2ab97c77, - 0x1061c04a, 0x2ac2d6d6, 0x106a269d, 0x2acc2f90, - 0x10728ec6, 0x2ad586a3, 0x107af8c4, 0x2adedc10, - 0x10836497, 0x2ae82fd5, 0x108bd23f, 0x2af181f3, - 0x109441bb, 0x2afad269, 0x109cb30b, 0x2b042137, - 0x10a5262f, 0x2b0d6e5c, 0x10ad9b26, 0x2b16b9d9, - 0x10b611f1, 0x2b2003ac, 0x10be8a8d, 0x2b294bd5, - 0x10c704fd, 0x2b329255, 0x10cf813e, 0x2b3bd72a, - 0x10d7ff51, 0x2b451a55, 0x10e07f36, 0x2b4e5bd4, - 0x10e900ec, 0x2b579ba8, 0x10f18472, 0x2b60d9d0, - 0x10fa09c9, 0x2b6a164d, 0x110290f0, 0x2b73511c, - 0x110b19e7, 0x2b7c8a3f, 0x1113a4ad, 0x2b85c1b5, - 0x111c3142, 0x2b8ef77d, 0x1124bfa6, 0x2b982b97, - 0x112d4fd9, 0x2ba15e03, 0x1135e1d9, 0x2baa8ec0, - 0x113e75a8, 0x2bb3bdce, 0x11470b44, 0x2bbceb2d, - 0x114fa2ad, 0x2bc616dd, 0x11583be2, 0x2bcf40dc, - 0x1160d6e5, 0x2bd8692b, 0x116973b3, 0x2be18fc9, - 0x1172124d, 0x2beab4b6, 0x117ab2b3, 0x2bf3d7f2, - 0x118354e4, 0x2bfcf97c, 0x118bf8e0, 0x2c061953, - 0x11949ea6, 0x2c0f3779, 0x119d4636, 0x2c1853eb, - 0x11a5ef90, 0x2c216eaa, 0x11ae9ab4, 0x2c2a87b6, - 0x11b747a0, 0x2c339f0e, 0x11bff656, 0x2c3cb4b1, - 0x11c8a6d4, 0x2c45c8a0, 0x11d1591a, 0x2c4edada, - 0x11da0d28, 0x2c57eb5e, 0x11e2c2fd, 0x2c60fa2d, - 0x11eb7a9a, 0x2c6a0746, 0x11f433fd, 0x2c7312a9, - 0x11fcef27, 0x2c7c1c55, 0x1205ac17, 0x2c85244a, - 0x120e6acc, 0x2c8e2a87, 0x12172b48, 0x2c972f0d, - 0x121fed88, 0x2ca031da, 0x1228b18d, 0x2ca932ef, - 0x12317756, 0x2cb2324c, 0x123a3ee4, 0x2cbb2fef, - 0x12430835, 0x2cc42bd9, 0x124bd34a, 0x2ccd2609, - 0x1254a021, 0x2cd61e7f, 0x125d6ebc, 0x2cdf153a, - 0x12663f19, 0x2ce80a3a, 0x126f1138, 0x2cf0fd80, - 0x1277e518, 0x2cf9ef09, 0x1280babb, 0x2d02ded7, - 0x1289921e, 0x2d0bcce8, 0x12926b41, 0x2d14b93d, - 0x129b4626, 0x2d1da3d5, 0x12a422ca, 0x2d268cb0, - 0x12ad012e, 0x2d2f73cd, 0x12b5e151, 0x2d38592c, - 0x12bec333, 0x2d413ccd, 0x12c7a6d4, 0x2d4a1eaf, - 0x12d08c33, 0x2d52fed2, 0x12d97350, 0x2d5bdd36, - 0x12e25c2b, 0x2d64b9da, 0x12eb46c3, 0x2d6d94bf, - 0x12f43318, 0x2d766de2, 0x12fd2129, 0x2d7f4545, - 0x130610f7, 0x2d881ae8, 0x130f0280, 0x2d90eec8, - 0x1317f5c6, 0x2d99c0e7, 0x1320eac6, 0x2da29144, - 0x1329e181, 0x2dab5fdf, 0x1332d9f7, 0x2db42cb6, - 0x133bd427, 0x2dbcf7cb, 0x1344d011, 0x2dc5c11c, - 0x134dcdb4, 0x2dce88aa, 0x1356cd11, 0x2dd74e73, - 0x135fce26, 0x2de01278, 0x1368d0f3, 0x2de8d4b8, - 0x1371d579, 0x2df19534, 0x137adbb6, 0x2dfa53e9, - 0x1383e3ab, 0x2e0310d9, 0x138ced57, 0x2e0bcc03, - 0x1395f8ba, 0x2e148566, 0x139f05d3, 0x2e1d3d03, - 0x13a814a2, 0x2e25f2d8, 0x13b12526, 0x2e2ea6e6, - 0x13ba3760, 0x2e37592c, 0x13c34b4f, 0x2e4009aa, - 0x13cc60f2, 0x2e48b860, 0x13d5784a, 0x2e51654c, - 0x13de9156, 0x2e5a1070, 0x13e7ac15, 0x2e62b9ca, - 0x13f0c887, 0x2e6b615a, 0x13f9e6ad, 0x2e740720, - 0x14030684, 0x2e7cab1c, 0x140c280e, 0x2e854d4d, - 0x14154b4a, 0x2e8dedb3, 0x141e7037, 0x2e968c4d, - 0x142796d5, 0x2e9f291b, 0x1430bf24, 0x2ea7c41e, - 0x1439e923, 0x2eb05d53, 0x144314d3, 0x2eb8f4bc, - 0x144c4232, 0x2ec18a58, 0x14557140, 0x2eca1e27, - 0x145ea1fd, 0x2ed2b027, 0x1467d469, 0x2edb405a, - 0x14710883, 0x2ee3cebe, 0x147a3e4b, 0x2eec5b53, - 0x148375c1, 0x2ef4e619, 0x148caee4, 0x2efd6f10, - 0x1495e9b3, 0x2f05f637, 0x149f2630, 0x2f0e7b8e, - 0x14a86458, 0x2f16ff14, 0x14b1a42c, 0x2f1f80ca, - 0x14bae5ab, 0x2f2800af, 0x14c428d6, 0x2f307ec2, - 0x14cd6dab, 0x2f38fb03, 0x14d6b42b, 0x2f417573, - 0x14dffc54, 0x2f49ee0f, 0x14e94627, 0x2f5264da, - 0x14f291a4, 0x2f5ad9d1, 0x14fbdec9, 0x2f634cf5, - 0x15052d97, 0x2f6bbe45, 0x150e7e0d, 0x2f742dc1, - 0x1517d02b, 0x2f7c9b69, 0x152123f0, 0x2f85073c, - 0x152a795d, 0x2f8d713a, 0x1533d070, 0x2f95d963, - 0x153d292a, 0x2f9e3fb6, 0x15468389, 0x2fa6a433, - 0x154fdf8f, 0x2faf06da, 0x15593d3a, 0x2fb767aa, - 0x15629c89, 0x2fbfc6a3, 0x156bfd7d, 0x2fc823c5, - 0x15756016, 0x2fd07f0f, 0x157ec452, 0x2fd8d882, - 0x15882a32, 0x2fe1301c, 0x159191b5, 0x2fe985de, - 0x159afadb, 0x2ff1d9c7, 0x15a465a3, 0x2ffa2bd6, - 0x15add20d, 0x30027c0c, 0x15b74019, 0x300aca69, - 0x15c0afc6, 0x301316eb, 0x15ca2115, 0x301b6193, - 0x15d39403, 0x3023aa5f, 0x15dd0892, 0x302bf151, - 0x15e67ec1, 0x30343667, 0x15eff690, 0x303c79a2, - 0x15f96ffd, 0x3044bb00, 0x1602eb0a, 0x304cfa83, - 0x160c67b4, 0x30553828, 0x1615e5fd, 0x305d73f0, - 0x161f65e4, 0x3065addb, 0x1628e767, 0x306de5e9, - 0x16326a88, 0x30761c18, 0x163bef46, 0x307e5069, - 0x1645759f, 0x308682dc, 0x164efd94, 0x308eb36f, - 0x16588725, 0x3096e223, 0x16621251, 0x309f0ef8, - 0x166b9f18, 0x30a739ed, 0x16752d79, 0x30af6302, - 0x167ebd74, 0x30b78a36, 0x16884f09, 0x30bfaf89, - 0x1691e237, 0x30c7d2fb, 0x169b76fe, 0x30cff48c, - 0x16a50d5d, 0x30d8143b, 0x16aea555, 0x30e03208, - 0x16b83ee4, 0x30e84df3, 0x16c1da0b, 0x30f067fb, - 0x16cb76c9, 0x30f8801f, 0x16d5151d, 0x31009661, - 0x16deb508, 0x3108aabf, 0x16e85689, 0x3110bd39, - 0x16f1f99f, 0x3118cdcf, 0x16fb9e4b, 0x3120dc80, - 0x1705448b, 0x3128e94c, 0x170eec60, 0x3130f433, - 0x171895c9, 0x3138fd35, 0x172240c5, 0x31410450, - 0x172bed55, 0x31490986, 0x17359b78, 0x31510cd5, - 0x173f4b2e, 0x31590e3e, 0x1748fc75, 0x31610dbf, - 0x1752af4f, 0x31690b59, 0x175c63ba, 0x3171070c, - 0x176619b6, 0x317900d6, 0x176fd143, 0x3180f8b8, - 0x17798a60, 0x3188eeb2, 0x1783450d, 0x3190e2c3, - 0x178d014a, 0x3198d4ea, 0x1796bf16, 0x31a0c528, - 0x17a07e70, 0x31a8b37c, 0x17aa3f5a, 0x31b09fe7, - 0x17b401d1, 0x31b88a66, 0x17bdc5d6, 0x31c072fb, - 0x17c78b68, 0x31c859a5, 0x17d15288, 0x31d03e64, - 0x17db1b34, 0x31d82137, 0x17e4e56c, 0x31e0021e, - 0x17eeb130, 0x31e7e118, 0x17f87e7f, 0x31efbe27, - 0x18024d59, 0x31f79948, 0x180c1dbf, 0x31ff727c, - 0x1815efae, 0x320749c3, 0x181fc328, 0x320f1f1c, - 0x1829982b, 0x3216f287, 0x18336eb7, 0x321ec403, - 0x183d46cc, 0x32269391, 0x18472069, 0x322e6130, - 0x1850fb8e, 0x32362ce0, 0x185ad83c, 0x323df6a0, - 0x1864b670, 0x3245be70, 0x186e962b, 0x324d8450, - 0x1878776d, 0x32554840, 0x18825a35, 0x325d0a3e, - 0x188c3e83, 0x3264ca4c, 0x18962456, 0x326c8868, - 0x18a00bae, 0x32744493, 0x18a9f48a, 0x327bfecc, - 0x18b3deeb, 0x3283b712, 0x18bdcad0, 0x328b6d66, - 0x18c7b838, 0x329321c7, 0x18d1a724, 0x329ad435, - 0x18db9792, 0x32a284b0, 0x18e58982, 0x32aa3336, - 0x18ef7cf4, 0x32b1dfc9, 0x18f971e8, 0x32b98a67, - 0x1903685d, 0x32c13311, 0x190d6053, 0x32c8d9c6, - 0x191759c9, 0x32d07e85, 0x192154bf, 0x32d82150, - 0x192b5135, 0x32dfc224, 0x19354f2a, 0x32e76102, - 0x193f4e9e, 0x32eefdea, 0x19494f90, 0x32f698db, - 0x19535201, 0x32fe31d5, 0x195d55ef, 0x3305c8d7, - 0x19675b5a, 0x330d5de3, 0x19716243, 0x3314f0f6, - 0x197b6aa8, 0x331c8211, 0x19857489, 0x33241134, - 0x198f7fe6, 0x332b9e5e, 0x19998cbe, 0x3333298f, - 0x19a39b11, 0x333ab2c6, 0x19adaadf, 0x33423a04, - 0x19b7bc27, 0x3349bf48, 0x19c1cee9, 0x33514292, - 0x19cbe325, 0x3358c3e2, 0x19d5f8d9, 0x33604336, - 0x19e01006, 0x3367c090, 0x19ea28ac, 0x336f3bee, - 0x19f442c9, 0x3376b551, 0x19fe5e5e, 0x337e2cb7, - 0x1a087b69, 0x3385a222, 0x1a1299ec, 0x338d1590, - 0x1a1cb9e5, 0x33948701, 0x1a26db54, 0x339bf675, - 0x1a30fe38, 0x33a363ec, 0x1a3b2292, 0x33aacf65, - 0x1a454860, 0x33b238e0, 0x1a4f6fa3, 0x33b9a05d, - 0x1a599859, 0x33c105db, 0x1a63c284, 0x33c8695b, - 0x1a6dee21, 0x33cfcadc, 0x1a781b31, 0x33d72a5d, - 0x1a8249b4, 0x33de87de, 0x1a8c79a9, 0x33e5e360, - 0x1a96ab0f, 0x33ed3ce1, 0x1aa0dde7, 0x33f49462, - 0x1aab122f, 0x33fbe9e2, 0x1ab547e8, 0x34033d61, - 0x1abf7f11, 0x340a8edf, 0x1ac9b7a9, 0x3411de5b, - 0x1ad3f1b1, 0x34192bd5, 0x1ade2d28, 0x3420774d, - 0x1ae86a0d, 0x3427c0c3, 0x1af2a860, 0x342f0836, - 0x1afce821, 0x34364da6, 0x1b072950, 0x343d9112, - 0x1b116beb, 0x3444d27b, 0x1b1baff2, 0x344c11e0, - 0x1b25f566, 0x34534f41, 0x1b303c46, 0x345a8a9d, - 0x1b3a8491, 0x3461c3f5, 0x1b44ce46, 0x3468fb47, - 0x1b4f1967, 0x34703095, 0x1b5965f1, 0x347763dd, - 0x1b63b3e5, 0x347e951f, 0x1b6e0342, 0x3485c45b, - 0x1b785409, 0x348cf190, 0x1b82a638, 0x34941cbf, - 0x1b8cf9cf, 0x349b45e7, 0x1b974ece, 0x34a26d08, - 0x1ba1a534, 0x34a99221, 0x1babfd01, 0x34b0b533, - 0x1bb65634, 0x34b7d63c, 0x1bc0b0ce, 0x34bef53d, - 0x1bcb0cce, 0x34c61236, 0x1bd56a32, 0x34cd2d26, - 0x1bdfc8fc, 0x34d4460c, 0x1bea292b, 0x34db5cea, - 0x1bf48abd, 0x34e271bd, 0x1bfeedb3, 0x34e98487, - 0x1c09520d, 0x34f09546, 0x1c13b7c9, 0x34f7a3fb, - 0x1c1e1ee9, 0x34feb0a5, 0x1c28876a, 0x3505bb44, - 0x1c32f14d, 0x350cc3d8, 0x1c3d5c91, 0x3513ca60, - 0x1c47c936, 0x351acedd, 0x1c52373c, 0x3521d14d, - 0x1c5ca6a2, 0x3528d1b1, 0x1c671768, 0x352fd008, - 0x1c71898d, 0x3536cc52, 0x1c7bfd11, 0x353dc68f, - 0x1c8671f3, 0x3544bebf, 0x1c90e834, 0x354bb4e1, - 0x1c9b5fd2, 0x3552a8f4, 0x1ca5d8cd, 0x35599afa, - 0x1cb05326, 0x35608af1, 0x1cbacedb, 0x356778d9, - 0x1cc54bec, 0x356e64b2, 0x1ccfca59, 0x35754e7c, - 0x1cda4a21, 0x357c3636, 0x1ce4cb44, 0x35831be0, - 0x1cef4dc2, 0x3589ff7a, 0x1cf9d199, 0x3590e104, - 0x1d0456ca, 0x3597c07d, 0x1d0edd55, 0x359e9de5, - 0x1d196538, 0x35a5793c, 0x1d23ee74, 0x35ac5282, - 0x1d2e7908, 0x35b329b5, 0x1d3904f4, 0x35b9fed7, - 0x1d439236, 0x35c0d1e7, 0x1d4e20d0, 0x35c7a2e3, - 0x1d58b0c0, 0x35ce71ce, 0x1d634206, 0x35d53ea5, - 0x1d6dd4a2, 0x35dc0968, 0x1d786892, 0x35e2d219, - 0x1d82fdd8, 0x35e998b5, 0x1d8d9472, 0x35f05d3d, - 0x1d982c60, 0x35f71fb1, 0x1da2c5a2, 0x35fde011, - 0x1dad6036, 0x36049e5b, 0x1db7fc1e, 0x360b5a90, - 0x1dc29958, 0x361214b0, 0x1dcd37e4, 0x3618ccba, - 0x1dd7d7c1, 0x361f82af, 0x1de278ef, 0x3626368d, - 0x1ded1b6e, 0x362ce855, 0x1df7bf3e, 0x36339806, - 0x1e02645d, 0x363a45a0, 0x1e0d0acc, 0x3640f123, - 0x1e17b28a, 0x36479a8e, 0x1e225b96, 0x364e41e2, - 0x1e2d05f1, 0x3654e71d, 0x1e37b199, 0x365b8a41, - 0x1e425e8f, 0x36622b4c, 0x1e4d0cd2, 0x3668ca3e, - 0x1e57bc62, 0x366f6717, 0x1e626d3e, 0x367601d7, - 0x1e6d1f65, 0x367c9a7e, 0x1e77d2d8, 0x3683310b, - 0x1e828796, 0x3689c57d, 0x1e8d3d9e, 0x369057d6, - 0x1e97f4f1, 0x3696e814, 0x1ea2ad8d, 0x369d7637, - 0x1ead6773, 0x36a4023f, 0x1eb822a1, 0x36aa8c2c, - 0x1ec2df18, 0x36b113fd, 0x1ecd9cd7, 0x36b799b3, - 0x1ed85bdd, 0x36be1d4c, 0x1ee31c2b, 0x36c49ec9, - 0x1eedddc0, 0x36cb1e2a, 0x1ef8a09b, 0x36d19b6e, - 0x1f0364bc, 0x36d81695, 0x1f0e2a22, 0x36de8f9e, - 0x1f18f0ce, 0x36e5068a, 0x1f23b8be, 0x36eb7b58, - 0x1f2e81f3, 0x36f1ee09, 0x1f394c6b, 0x36f85e9a, - 0x1f441828, 0x36fecd0e, 0x1f4ee527, 0x37053962, - 0x1f59b369, 0x370ba398, 0x1f6482ed, 0x37120bae, - 0x1f6f53b3, 0x371871a5, 0x1f7a25ba, 0x371ed57c, - 0x1f84f902, 0x37253733, 0x1f8fcd8b, 0x372b96ca, - 0x1f9aa354, 0x3731f440, 0x1fa57a5d, 0x37384f95, - 0x1fb052a5, 0x373ea8ca, 0x1fbb2c2c, 0x3744ffdd, - 0x1fc606f1, 0x374b54ce, 0x1fd0e2f5, 0x3751a79e, - 0x1fdbc036, 0x3757f84c, 0x1fe69eb4, 0x375e46d8, - 0x1ff17e70, 0x37649341, 0x1ffc5f67, 0x376add88, - 0x2007419b, 0x377125ac, 0x2012250a, 0x37776bac, - 0x201d09b4, 0x377daf89, 0x2027ef99, 0x3783f143, - 0x2032d6b8, 0x378a30d8, 0x203dbf11, 0x37906e49, - 0x2048a8a4, 0x3796a996, 0x2053936f, 0x379ce2be, - 0x205e7f74, 0x37a319c2, 0x20696cb0, 0x37a94ea0, - 0x20745b24, 0x37af8159, 0x207f4acf, 0x37b5b1ec, - 0x208a3bb2, 0x37bbe05a, 0x20952dcb, 0x37c20ca1, - 0x20a0211a, 0x37c836c2, 0x20ab159e, 0x37ce5ebd, - 0x20b60b58, 0x37d48490, 0x20c10247, 0x37daa83d, - 0x20cbfa6a, 0x37e0c9c3, 0x20d6f3c1, 0x37e6e921, - 0x20e1ee4b, 0x37ed0657, 0x20ecea09, 0x37f32165, - 0x20f7e6f9, 0x37f93a4b, 0x2102e51c, 0x37ff5109, - 0x210de470, 0x3805659e, 0x2118e4f6, 0x380b780a, - 0x2123e6ad, 0x3811884d, 0x212ee995, 0x38179666, - 0x2139edac, 0x381da256, 0x2144f2f3, 0x3823ac1d, - 0x214ff96a, 0x3829b3b9, 0x215b0110, 0x382fb92a, - 0x216609e3, 0x3835bc71, 0x217113e5, 0x383bbd8e, - 0x217c1f15, 0x3841bc7f, 0x21872b72, 0x3847b946, - 0x219238fb, 0x384db3e0, 0x219d47b1, 0x3853ac4f, - 0x21a85793, 0x3859a292, 0x21b368a0, 0x385f96a9, - 0x21be7ad8, 0x38658894, 0x21c98e3b, 0x386b7852, - 0x21d4a2c8, 0x387165e3, 0x21dfb87f, 0x38775147, - 0x21eacf5f, 0x387d3a7e, 0x21f5e768, 0x38832187, - 0x22010099, 0x38890663, 0x220c1af3, 0x388ee910, - 0x22173674, 0x3894c98f, 0x2222531c, 0x389aa7e0, - 0x222d70eb, 0x38a08402, 0x22388fe1, 0x38a65df6, - 0x2243affc, 0x38ac35ba, 0x224ed13d, 0x38b20b4f, - 0x2259f3a3, 0x38b7deb4, 0x2265172e, 0x38bdafea, - 0x22703bdc, 0x38c37eef, 0x227b61af, 0x38c94bc4, - 0x228688a4, 0x38cf1669, 0x2291b0bd, 0x38d4dedd, - 0x229cd9f8, 0x38daa520, 0x22a80456, 0x38e06932, - 0x22b32fd4, 0x38e62b13, 0x22be5c74, 0x38ebeac2, - 0x22c98a35, 0x38f1a840, 0x22d4b916, 0x38f7638b, - 0x22dfe917, 0x38fd1ca4, 0x22eb1a37, 0x3902d38b, - 0x22f64c77, 0x3908883f, 0x23017fd5, 0x390e3ac0, - 0x230cb451, 0x3913eb0e, 0x2317e9eb, 0x39199929, - 0x232320a2, 0x391f4510, 0x232e5876, 0x3924eec3, - 0x23399167, 0x392a9642, 0x2344cb73, 0x39303b8e, - 0x2350069b, 0x3935dea4, 0x235b42df, 0x393b7f86, - 0x2366803c, 0x39411e33, 0x2371beb5, 0x3946baac, - 0x237cfe47, 0x394c54ee, 0x23883ef2, 0x3951ecfc, - 0x239380b6, 0x395782d3, 0x239ec393, 0x395d1675, - 0x23aa0788, 0x3962a7e0, 0x23b54c95, 0x39683715, - 0x23c092b9, 0x396dc414, 0x23cbd9f4, 0x39734edc, - 0x23d72245, 0x3978d76c, 0x23e26bac, 0x397e5dc6, - 0x23edb628, 0x3983e1e8, 0x23f901ba, 0x398963d2, - 0x24044e60, 0x398ee385, 0x240f9c1a, 0x399460ff, - 0x241aeae8, 0x3999dc42, 0x24263ac9, 0x399f554b, - 0x24318bbe, 0x39a4cc1c, 0x243cddc4, 0x39aa40b4, - 0x244830dd, 0x39afb313, 0x24538507, 0x39b52339, - 0x245eda43, 0x39ba9125, 0x246a308f, 0x39bffcd7, - 0x247587eb, 0x39c5664f, 0x2480e057, 0x39cacd8d, - 0x248c39d3, 0x39d03291, 0x2497945d, 0x39d5955a, - 0x24a2eff6, 0x39daf5e8, 0x24ae4c9d, 0x39e0543c, - 0x24b9aa52, 0x39e5b054, 0x24c50914, 0x39eb0a31, - 0x24d068e2, 0x39f061d2, 0x24dbc9bd, 0x39f5b737, - 0x24e72ba4, 0x39fb0a60, 0x24f28e96, 0x3a005b4d, - 0x24fdf294, 0x3a05a9fd, 0x2509579b, 0x3a0af671, - 0x2514bdad, 0x3a1040a8, 0x252024c9, 0x3a1588a2, - 0x252b8cee, 0x3a1ace5f, 0x2536f61b, 0x3a2011de, - 0x25426051, 0x3a25531f, 0x254dcb8f, 0x3a2a9223, - 0x255937d5, 0x3a2fcee8, 0x2564a521, 0x3a350970, - 0x25701374, 0x3a3a41b9, 0x257b82cd, 0x3a3f77c3, - 0x2586f32c, 0x3a44ab8e, 0x25926490, 0x3a49dd1a, - 0x259dd6f9, 0x3a4f0c67, 0x25a94a67, 0x3a543974, - 0x25b4bed8, 0x3a596442, 0x25c0344d, 0x3a5e8cd0, - 0x25cbaac5, 0x3a63b31d, 0x25d72240, 0x3a68d72b, - 0x25e29abc, 0x3a6df8f8, 0x25ee143b, 0x3a731884, - 0x25f98ebb, 0x3a7835cf, 0x26050a3b, 0x3a7d50da, - 0x261086bc, 0x3a8269a3, 0x261c043d, 0x3a87802a, - 0x262782be, 0x3a8c9470, 0x2633023e, 0x3a91a674, - 0x263e82bc, 0x3a96b636, 0x264a0438, 0x3a9bc3b6, - 0x265586b3, 0x3aa0cef3, 0x26610a2a, 0x3aa5d7ee, - 0x266c8e9f, 0x3aaadea6, 0x26781410, 0x3aafe31b, - 0x26839a7c, 0x3ab4e54c, 0x268f21e5, 0x3ab9e53a, - 0x269aaa48, 0x3abee2e5, 0x26a633a6, 0x3ac3de4c, - 0x26b1bdff, 0x3ac8d76f, 0x26bd4951, 0x3acdce4d, - 0x26c8d59c, 0x3ad2c2e8, 0x26d462e1, 0x3ad7b53d, - 0x26dff11d, 0x3adca54e, 0x26eb8052, 0x3ae1931a, - 0x26f7107e, 0x3ae67ea1, 0x2702a1a1, 0x3aeb67e3, - 0x270e33bb, 0x3af04edf, 0x2719c6cb, 0x3af53395, - 0x27255ad1, 0x3afa1605, 0x2730efcc, 0x3afef630, - 0x273c85bc, 0x3b03d414, 0x27481ca1, 0x3b08afb2, - 0x2753b479, 0x3b0d8909, 0x275f4d45, 0x3b126019, - 0x276ae704, 0x3b1734e2, 0x277681b6, 0x3b1c0764, - 0x27821d59, 0x3b20d79e, 0x278db9ef, 0x3b25a591, - 0x27995776, 0x3b2a713d, 0x27a4f5ed, 0x3b2f3aa0, - 0x27b09555, 0x3b3401bb, 0x27bc35ad, 0x3b38c68e, - 0x27c7d6f4, 0x3b3d8918, 0x27d3792b, 0x3b42495a, - 0x27df1c50, 0x3b470753, 0x27eac063, 0x3b4bc303, - 0x27f66564, 0x3b507c69, 0x28020b52, 0x3b553386, - 0x280db22d, 0x3b59e85a, 0x281959f4, 0x3b5e9ae4, - 0x282502a7, 0x3b634b23, 0x2830ac45, 0x3b67f919, - 0x283c56cf, 0x3b6ca4c4, 0x28480243, 0x3b714e25, - 0x2853aea1, 0x3b75f53c, 0x285f5be9, 0x3b7a9a07, - 0x286b0a1a, 0x3b7f3c87, 0x2876b934, 0x3b83dcbc, - 0x28826936, 0x3b887aa6, 0x288e1a20, 0x3b8d1644, - 0x2899cbf1, 0x3b91af97, 0x28a57ea9, 0x3b96469d, - 0x28b13248, 0x3b9adb57, 0x28bce6cd, 0x3b9f6dc5, - 0x28c89c37, 0x3ba3fde7, 0x28d45286, 0x3ba88bbc, - 0x28e009ba, 0x3bad1744, 0x28ebc1d3, 0x3bb1a080, - 0x28f77acf, 0x3bb6276e, 0x290334af, 0x3bbaac0e, - 0x290eef71, 0x3bbf2e62, 0x291aab16, 0x3bc3ae67, - 0x2926679c, 0x3bc82c1f, 0x29322505, 0x3bcca789, - 0x293de34e, 0x3bd120a4, 0x2949a278, 0x3bd59771, - 0x29556282, 0x3bda0bf0, 0x2961236c, 0x3bde7e20, - 0x296ce535, 0x3be2ee01, 0x2978a7dd, 0x3be75b93, - 0x29846b63, 0x3bebc6d5, 0x29902fc7, 0x3bf02fc9, - 0x299bf509, 0x3bf4966c, 0x29a7bb28, 0x3bf8fac0, - 0x29b38223, 0x3bfd5cc4, 0x29bf49fa, 0x3c01bc78, - 0x29cb12ad, 0x3c0619dc, 0x29d6dc3b, 0x3c0a74f0, - 0x29e2a6a3, 0x3c0ecdb2, 0x29ee71e6, 0x3c132424, - 0x29fa3e03, 0x3c177845, 0x2a060af9, 0x3c1bca16, - 0x2a11d8c8, 0x3c201994, 0x2a1da770, 0x3c2466c2, - 0x2a2976ef, 0x3c28b19e, 0x2a354746, 0x3c2cfa28, - 0x2a411874, 0x3c314060, 0x2a4cea79, 0x3c358446, - 0x2a58bd54, 0x3c39c5da, 0x2a649105, 0x3c3e051b, - 0x2a70658a, 0x3c42420a, 0x2a7c3ae5, 0x3c467ca6, - 0x2a881114, 0x3c4ab4ef, 0x2a93e817, 0x3c4eeae5, - 0x2a9fbfed, 0x3c531e88, 0x2aab9896, 0x3c574fd8, - 0x2ab77212, 0x3c5b7ed4, 0x2ac34c60, 0x3c5fab7c, - 0x2acf277f, 0x3c63d5d1, 0x2adb0370, 0x3c67fdd1, - 0x2ae6e031, 0x3c6c237e, 0x2af2bdc3, 0x3c7046d6, - 0x2afe9c24, 0x3c7467d9, 0x2b0a7b54, 0x3c788688, - 0x2b165b54, 0x3c7ca2e2, 0x2b223c22, 0x3c80bce7, - 0x2b2e1dbe, 0x3c84d496, 0x2b3a0027, 0x3c88e9f1, - 0x2b45e35d, 0x3c8cfcf6, 0x2b51c760, 0x3c910da5, - 0x2b5dac2f, 0x3c951bff, 0x2b6991ca, 0x3c992803, - 0x2b75782f, 0x3c9d31b0, 0x2b815f60, 0x3ca13908, - 0x2b8d475b, 0x3ca53e09, 0x2b99301f, 0x3ca940b3, - 0x2ba519ad, 0x3cad4107, 0x2bb10404, 0x3cb13f04, - 0x2bbcef23, 0x3cb53aaa, 0x2bc8db0b, 0x3cb933f9, - 0x2bd4c7ba, 0x3cbd2af0, 0x2be0b52f, 0x3cc11f90, - 0x2beca36c, 0x3cc511d9, 0x2bf8926f, 0x3cc901c9, - 0x2c048237, 0x3cccef62, 0x2c1072c4, 0x3cd0daa2, - 0x2c1c6417, 0x3cd4c38b, 0x2c28562d, 0x3cd8aa1b, - 0x2c344908, 0x3cdc8e52, 0x2c403ca5, 0x3ce07031, - 0x2c4c3106, 0x3ce44fb7, 0x2c582629, 0x3ce82ce4, - 0x2c641c0e, 0x3cec07b8, 0x2c7012b5, 0x3cefe032, - 0x2c7c0a1d, 0x3cf3b653, 0x2c880245, 0x3cf78a1b, - 0x2c93fb2e, 0x3cfb5b89, 0x2c9ff4d6, 0x3cff2a9d, - 0x2cabef3d, 0x3d02f757, 0x2cb7ea63, 0x3d06c1b6, - 0x2cc3e648, 0x3d0a89bc, 0x2ccfe2ea, 0x3d0e4f67, - 0x2cdbe04a, 0x3d1212b7, 0x2ce7de66, 0x3d15d3ad, - 0x2cf3dd3f, 0x3d199248, 0x2cffdcd4, 0x3d1d4e88, - 0x2d0bdd25, 0x3d21086c, 0x2d17de31, 0x3d24bff6, - 0x2d23dff7, 0x3d287523, 0x2d2fe277, 0x3d2c27f6, - 0x2d3be5b1, 0x3d2fd86c, 0x2d47e9a5, 0x3d338687, - 0x2d53ee51, 0x3d373245, 0x2d5ff3b5, 0x3d3adba7, - 0x2d6bf9d1, 0x3d3e82ae, 0x2d7800a5, 0x3d422757, - 0x2d84082f, 0x3d45c9a4, 0x2d901070, 0x3d496994, - 0x2d9c1967, 0x3d4d0728, 0x2da82313, 0x3d50a25e, - 0x2db42d74, 0x3d543b37, 0x2dc0388a, 0x3d57d1b3, - 0x2dcc4454, 0x3d5b65d2, 0x2dd850d2, 0x3d5ef793, - 0x2de45e03, 0x3d6286f6, 0x2df06be6, 0x3d6613fb, - 0x2dfc7a7c, 0x3d699ea3, 0x2e0889c4, 0x3d6d26ec, - 0x2e1499bd, 0x3d70acd7, 0x2e20aa67, 0x3d743064, - 0x2e2cbbc1, 0x3d77b192, 0x2e38cdcb, 0x3d7b3061, - 0x2e44e084, 0x3d7eacd2, 0x2e50f3ed, 0x3d8226e4, - 0x2e5d0804, 0x3d859e96, 0x2e691cc9, 0x3d8913ea, - 0x2e75323c, 0x3d8c86de, 0x2e81485c, 0x3d8ff772, - 0x2e8d5f29, 0x3d9365a8, 0x2e9976a1, 0x3d96d17d, - 0x2ea58ec6, 0x3d9a3af2, 0x2eb1a796, 0x3d9da208, - 0x2ebdc110, 0x3da106bd, 0x2ec9db35, 0x3da46912, - 0x2ed5f604, 0x3da7c907, 0x2ee2117c, 0x3dab269b, - 0x2eee2d9d, 0x3dae81cf, 0x2efa4a67, 0x3db1daa2, - 0x2f0667d9, 0x3db53113, 0x2f1285f2, 0x3db88524, - 0x2f1ea4b2, 0x3dbbd6d4, 0x2f2ac419, 0x3dbf2622, - 0x2f36e426, 0x3dc2730f, 0x2f4304d8, 0x3dc5bd9b, - 0x2f4f2630, 0x3dc905c5, 0x2f5b482d, 0x3dcc4b8d, - 0x2f676ace, 0x3dcf8ef3, 0x2f738e12, 0x3dd2cff7, - 0x2f7fb1fa, 0x3dd60e99, 0x2f8bd685, 0x3dd94ad8, - 0x2f97fbb2, 0x3ddc84b5, 0x2fa42181, 0x3ddfbc30, - 0x2fb047f2, 0x3de2f148, 0x2fbc6f03, 0x3de623fd, - 0x2fc896b5, 0x3de9544f, 0x2fd4bf08, 0x3dec823e, - 0x2fe0e7f9, 0x3defadca, 0x2fed118a, 0x3df2d6f3, - 0x2ff93bba, 0x3df5fdb8, 0x30056687, 0x3df9221a, - 0x301191f3, 0x3dfc4418, 0x301dbdfb, 0x3dff63b2, - 0x3029eaa1, 0x3e0280e9, 0x303617e2, 0x3e059bbb, - 0x304245c0, 0x3e08b42a, 0x304e7438, 0x3e0bca34, - 0x305aa34c, 0x3e0eddd9, 0x3066d2fa, 0x3e11ef1b, - 0x30730342, 0x3e14fdf7, 0x307f3424, 0x3e180a6f, - 0x308b659f, 0x3e1b1482, 0x309797b2, 0x3e1e1c30, - 0x30a3ca5d, 0x3e212179, 0x30affda0, 0x3e24245d, - 0x30bc317a, 0x3e2724db, 0x30c865ea, 0x3e2a22f4, - 0x30d49af1, 0x3e2d1ea8, 0x30e0d08d, 0x3e3017f6, - 0x30ed06bf, 0x3e330ede, 0x30f93d86, 0x3e360360, - 0x310574e0, 0x3e38f57c, 0x3111accf, 0x3e3be532, - 0x311de551, 0x3e3ed282, 0x312a1e66, 0x3e41bd6c, - 0x3136580d, 0x3e44a5ef, 0x31429247, 0x3e478c0b, - 0x314ecd11, 0x3e4a6fc1, 0x315b086d, 0x3e4d5110, - 0x31674459, 0x3e502ff9, 0x317380d6, 0x3e530c7a, - 0x317fbde2, 0x3e55e694, 0x318bfb7d, 0x3e58be47, - 0x319839a6, 0x3e5b9392, 0x31a4785e, 0x3e5e6676, - 0x31b0b7a4, 0x3e6136f3, 0x31bcf777, 0x3e640507, - 0x31c937d6, 0x3e66d0b4, 0x31d578c2, 0x3e6999fa, - 0x31e1ba3a, 0x3e6c60d7, 0x31edfc3d, 0x3e6f254c, - 0x31fa3ecb, 0x3e71e759, 0x320681e3, 0x3e74a6fd, - 0x3212c585, 0x3e77643a, 0x321f09b1, 0x3e7a1f0d, - 0x322b4e66, 0x3e7cd778, 0x323793a3, 0x3e7f8d7b, - 0x3243d968, 0x3e824114, 0x32501fb5, 0x3e84f245, - 0x325c6688, 0x3e87a10c, 0x3268ade3, 0x3e8a4d6a, - 0x3274f5c3, 0x3e8cf75f, 0x32813e2a, 0x3e8f9eeb, - 0x328d8715, 0x3e92440d, 0x3299d085, 0x3e94e6c6, - 0x32a61a7a, 0x3e978715, 0x32b264f2, 0x3e9a24fb, - 0x32beafed, 0x3e9cc076, 0x32cafb6b, 0x3e9f5988, - 0x32d7476c, 0x3ea1f02f, 0x32e393ef, 0x3ea4846c, - 0x32efe0f2, 0x3ea7163f, 0x32fc2e77, 0x3ea9a5a8, - 0x33087c7d, 0x3eac32a6, 0x3314cb02, 0x3eaebd3a, - 0x33211a07, 0x3eb14563, 0x332d698a, 0x3eb3cb21, - 0x3339b98d, 0x3eb64e75, 0x33460a0d, 0x3eb8cf5d, - 0x33525b0b, 0x3ebb4ddb, 0x335eac86, 0x3ebdc9ed, - 0x336afe7e, 0x3ec04394, 0x337750f2, 0x3ec2bad0, - 0x3383a3e2, 0x3ec52fa0, 0x338ff74d, 0x3ec7a205, - 0x339c4b32, 0x3eca11fe, 0x33a89f92, 0x3ecc7f8b, - 0x33b4f46c, 0x3eceeaad, 0x33c149bf, 0x3ed15363, - 0x33cd9f8b, 0x3ed3b9ad, 0x33d9f5cf, 0x3ed61d8a, - 0x33e64c8c, 0x3ed87efc, 0x33f2a3bf, 0x3edade01, - 0x33fefb6a, 0x3edd3a9a, 0x340b538b, 0x3edf94c7, - 0x3417ac22, 0x3ee1ec87, 0x3424052f, 0x3ee441da, - 0x34305eb0, 0x3ee694c1, 0x343cb8a7, 0x3ee8e53a, - 0x34491311, 0x3eeb3347, 0x34556def, 0x3eed7ee7, - 0x3461c940, 0x3eefc81a, 0x346e2504, 0x3ef20ee0, - 0x347a8139, 0x3ef45338, 0x3486dde1, 0x3ef69523, - 0x34933afa, 0x3ef8d4a1, 0x349f9884, 0x3efb11b1, - 0x34abf67e, 0x3efd4c54, 0x34b854e7, 0x3eff8489, - 0x34c4b3c0, 0x3f01ba50, 0x34d11308, 0x3f03eda9, - 0x34dd72be, 0x3f061e95, 0x34e9d2e3, 0x3f084d12, - 0x34f63374, 0x3f0a7921, 0x35029473, 0x3f0ca2c2, - 0x350ef5de, 0x3f0ec9f5, 0x351b57b5, 0x3f10eeb9, - 0x3527b9f7, 0x3f13110f, 0x35341ca5, 0x3f1530f7, - 0x35407fbd, 0x3f174e70, 0x354ce33f, 0x3f19697a, - 0x3559472b, 0x3f1b8215, 0x3565ab80, 0x3f1d9842, - 0x3572103d, 0x3f1fabff, 0x357e7563, 0x3f21bd4e, - 0x358adaf0, 0x3f23cc2e, 0x359740e5, 0x3f25d89e, - 0x35a3a740, 0x3f27e29f, 0x35b00e02, 0x3f29ea31, - 0x35bc7529, 0x3f2bef53, 0x35c8dcb6, 0x3f2df206, - 0x35d544a7, 0x3f2ff24a, 0x35e1acfd, 0x3f31f01d, - 0x35ee15b7, 0x3f33eb81, 0x35fa7ed4, 0x3f35e476, - 0x3606e854, 0x3f37dafa, 0x36135237, 0x3f39cf0e, - 0x361fbc7b, 0x3f3bc0b3, 0x362c2721, 0x3f3dafe7, - 0x36389228, 0x3f3f9cab, 0x3644fd8f, 0x3f4186ff, - 0x36516956, 0x3f436ee3, 0x365dd57d, 0x3f455456, - 0x366a4203, 0x3f473759, 0x3676aee8, 0x3f4917eb, - 0x36831c2b, 0x3f4af60d, 0x368f89cb, 0x3f4cd1be, - 0x369bf7c9, 0x3f4eaafe, 0x36a86623, 0x3f5081cd, - 0x36b4d4d9, 0x3f52562c, 0x36c143ec, 0x3f54281a, - 0x36cdb359, 0x3f55f796, 0x36da2321, 0x3f57c4a2, - 0x36e69344, 0x3f598f3c, 0x36f303c0, 0x3f5b5765, - 0x36ff7496, 0x3f5d1d1d, 0x370be5c4, 0x3f5ee063, - 0x3718574b, 0x3f60a138, 0x3724c92a, 0x3f625f9b, - 0x37313b60, 0x3f641b8d, 0x373daded, 0x3f65d50d, - 0x374a20d0, 0x3f678c1c, 0x3756940a, 0x3f6940b8, - 0x37630799, 0x3f6af2e3, 0x376f7b7d, 0x3f6ca29c, - 0x377befb5, 0x3f6e4fe3, 0x37886442, 0x3f6ffab8, - 0x3794d922, 0x3f71a31b, 0x37a14e55, 0x3f73490b, - 0x37adc3db, 0x3f74ec8a, 0x37ba39b3, 0x3f768d96, - 0x37c6afdc, 0x3f782c30, 0x37d32657, 0x3f79c857, - 0x37df9d22, 0x3f7b620c, 0x37ec143e, 0x3f7cf94e, - 0x37f88ba9, 0x3f7e8e1e, 0x38050364, 0x3f80207b, - 0x38117b6d, 0x3f81b065, 0x381df3c5, 0x3f833ddd, - 0x382a6c6a, 0x3f84c8e2, 0x3836e55d, 0x3f865174, - 0x38435e9d, 0x3f87d792, 0x384fd829, 0x3f895b3e, - 0x385c5201, 0x3f8adc77, 0x3868cc24, 0x3f8c5b3d, - 0x38754692, 0x3f8dd78f, 0x3881c14b, 0x3f8f516e, - 0x388e3c4d, 0x3f90c8da, 0x389ab799, 0x3f923dd2, - 0x38a7332e, 0x3f93b058, 0x38b3af0c, 0x3f952069, - 0x38c02b31, 0x3f968e07, 0x38cca79e, 0x3f97f932, - 0x38d92452, 0x3f9961e8, 0x38e5a14d, 0x3f9ac82c, - 0x38f21e8e, 0x3f9c2bfb, 0x38fe9c15, 0x3f9d8d56, - 0x390b19e0, 0x3f9eec3e, 0x391797f0, 0x3fa048b2, - 0x39241645, 0x3fa1a2b2, 0x393094dd, 0x3fa2fa3d, - 0x393d13b8, 0x3fa44f55, 0x394992d7, 0x3fa5a1f9, - 0x39561237, 0x3fa6f228, 0x396291d9, 0x3fa83fe3, - 0x396f11bc, 0x3fa98b2a, 0x397b91e1, 0x3faad3fd, - 0x39881245, 0x3fac1a5b, 0x399492ea, 0x3fad5e45, - 0x39a113cd, 0x3fae9fbb, 0x39ad94f0, 0x3fafdebb, - 0x39ba1651, 0x3fb11b48, 0x39c697f0, 0x3fb2555f, - 0x39d319cc, 0x3fb38d02, 0x39df9be6, 0x3fb4c231, - 0x39ec1e3b, 0x3fb5f4ea, 0x39f8a0cd, 0x3fb7252f, - 0x3a05239a, 0x3fb852ff, 0x3a11a6a3, 0x3fb97e5a, - 0x3a1e29e5, 0x3fbaa740, 0x3a2aad62, 0x3fbbcdb1, - 0x3a373119, 0x3fbcf1ad, 0x3a43b508, 0x3fbe1334, - 0x3a503930, 0x3fbf3246, 0x3a5cbd91, 0x3fc04ee3, - 0x3a694229, 0x3fc1690a, 0x3a75c6f8, 0x3fc280bc, - 0x3a824bfd, 0x3fc395f9, 0x3a8ed139, 0x3fc4a8c1, - 0x3a9b56ab, 0x3fc5b913, 0x3aa7dc52, 0x3fc6c6f0, - 0x3ab4622d, 0x3fc7d258, 0x3ac0e83d, 0x3fc8db4a, - 0x3acd6e81, 0x3fc9e1c6, 0x3ad9f4f8, 0x3fcae5cd, - 0x3ae67ba2, 0x3fcbe75e, 0x3af3027e, 0x3fcce67a, - 0x3aff898c, 0x3fcde320, 0x3b0c10cb, 0x3fcedd50, - 0x3b18983b, 0x3fcfd50b, 0x3b251fdc, 0x3fd0ca4f, - 0x3b31a7ac, 0x3fd1bd1e, 0x3b3e2fac, 0x3fd2ad77, - 0x3b4ab7db, 0x3fd39b5a, 0x3b574039, 0x3fd486c7, - 0x3b63c8c4, 0x3fd56fbe, 0x3b70517d, 0x3fd6563f, - 0x3b7cda63, 0x3fd73a4a, 0x3b896375, 0x3fd81bdf, - 0x3b95ecb4, 0x3fd8fafe, 0x3ba2761e, 0x3fd9d7a7, - 0x3baeffb3, 0x3fdab1d9, 0x3bbb8973, 0x3fdb8996, - 0x3bc8135c, 0x3fdc5edc, 0x3bd49d70, 0x3fdd31ac, - 0x3be127ac, 0x3fde0205, 0x3bedb212, 0x3fdecfe8, - 0x3bfa3c9f, 0x3fdf9b55, 0x3c06c754, 0x3fe0644b, - 0x3c135231, 0x3fe12acb, 0x3c1fdd34, 0x3fe1eed5, - 0x3c2c685d, 0x3fe2b067, 0x3c38f3ac, 0x3fe36f84, - 0x3c457f21, 0x3fe42c2a, 0x3c520aba, 0x3fe4e659, - 0x3c5e9678, 0x3fe59e12, 0x3c6b2259, 0x3fe65354, - 0x3c77ae5e, 0x3fe7061f, 0x3c843a85, 0x3fe7b674, - 0x3c90c6cf, 0x3fe86452, 0x3c9d533b, 0x3fe90fb9, - 0x3ca9dfc8, 0x3fe9b8a9, 0x3cb66c77, 0x3fea5f23, - 0x3cc2f945, 0x3feb0326, 0x3ccf8634, 0x3feba4b2, - 0x3cdc1342, 0x3fec43c7, 0x3ce8a06f, 0x3fece065, - 0x3cf52dbb, 0x3fed7a8c, 0x3d01bb24, 0x3fee123d, - 0x3d0e48ab, 0x3feea776, 0x3d1ad650, 0x3fef3a39, - 0x3d276410, 0x3fefca84, 0x3d33f1ed, 0x3ff05858, - 0x3d407fe6, 0x3ff0e3b6, 0x3d4d0df9, 0x3ff16c9c, - 0x3d599c28, 0x3ff1f30b, 0x3d662a70, 0x3ff27703, - 0x3d72b8d2, 0x3ff2f884, 0x3d7f474d, 0x3ff3778e, - 0x3d8bd5e1, 0x3ff3f420, 0x3d98648d, 0x3ff46e3c, - 0x3da4f351, 0x3ff4e5e0, 0x3db1822c, 0x3ff55b0d, - 0x3dbe111e, 0x3ff5cdc3, 0x3dcaa027, 0x3ff63e01, - 0x3dd72f45, 0x3ff6abc8, 0x3de3be78, 0x3ff71718, - 0x3df04dc0, 0x3ff77ff1, 0x3dfcdd1d, 0x3ff7e652, - 0x3e096c8d, 0x3ff84a3c, 0x3e15fc11, 0x3ff8abae, - 0x3e228ba7, 0x3ff90aaa, 0x3e2f1b50, 0x3ff9672d, - 0x3e3bab0b, 0x3ff9c13a, 0x3e483ad8, 0x3ffa18cf, - 0x3e54cab5, 0x3ffa6dec, 0x3e615aa3, 0x3ffac092, - 0x3e6deaa1, 0x3ffb10c1, 0x3e7a7aae, 0x3ffb5e78, - 0x3e870aca, 0x3ffba9b8, 0x3e939af5, 0x3ffbf280, - 0x3ea02b2e, 0x3ffc38d1, 0x3eacbb74, 0x3ffc7caa, - 0x3eb94bc8, 0x3ffcbe0c, 0x3ec5dc28, 0x3ffcfcf6, - 0x3ed26c94, 0x3ffd3969, 0x3edefd0c, 0x3ffd7364, - 0x3eeb8d8f, 0x3ffdaae7, 0x3ef81e1d, 0x3ffddff3, - 0x3f04aeb5, 0x3ffe1288, 0x3f113f56, 0x3ffe42a4, - 0x3f1dd001, 0x3ffe704a, 0x3f2a60b4, 0x3ffe9b77, - 0x3f36f170, 0x3ffec42d, 0x3f438234, 0x3ffeea6c, - 0x3f5012fe, 0x3fff0e32, 0x3f5ca3d0, 0x3fff2f82, - 0x3f6934a8, 0x3fff4e59, 0x3f75c585, 0x3fff6ab9, - 0x3f825668, 0x3fff84a1, 0x3f8ee750, 0x3fff9c12, - 0x3f9b783c, 0x3fffb10b, 0x3fa8092c, 0x3fffc38c, - 0x3fb49a1f, 0x3fffd396, 0x3fc12b16, 0x3fffe128, - 0x3fcdbc0f, 0x3fffec43, 0x3fda4d09, 0x3ffff4e6, - 0x3fe6de05, 0x3ffffb11, 0x3ff36f02, 0x3ffffec4, -}; - - -/** -* \par -* Generation of realCoefBQ31 array: -* \par -* n = 4096 -* <pre>for (i = 0; i < n; i++) -* { -* pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i)); -* pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i)); -* } </pre> -* \par -* Convert to fixed point Q31 format -* round(pBTable[i] * pow(2, 31)) -* -*/ - -static const q31_t realCoefBQ31[8192] = { - 0x40000000, 0x40000000, 0x400c90fe, 0x3ffffec4, - 0x401921fb, 0x3ffffb11, 0x4025b2f7, 0x3ffff4e6, - 0x403243f1, 0x3fffec43, 0x403ed4ea, 0x3fffe128, - 0x404b65e1, 0x3fffd396, 0x4057f6d4, 0x3fffc38c, - 0x406487c4, 0x3fffb10b, 0x407118b0, 0x3fff9c12, - 0x407da998, 0x3fff84a1, 0x408a3a7b, 0x3fff6ab9, - 0x4096cb58, 0x3fff4e59, 0x40a35c30, 0x3fff2f82, - 0x40afed02, 0x3fff0e32, 0x40bc7dcc, 0x3ffeea6c, - 0x40c90e90, 0x3ffec42d, 0x40d59f4c, 0x3ffe9b77, - 0x40e22fff, 0x3ffe704a, 0x40eec0aa, 0x3ffe42a4, - 0x40fb514b, 0x3ffe1288, 0x4107e1e3, 0x3ffddff3, - 0x41147271, 0x3ffdaae7, 0x412102f4, 0x3ffd7364, - 0x412d936c, 0x3ffd3969, 0x413a23d8, 0x3ffcfcf6, - 0x4146b438, 0x3ffcbe0c, 0x4153448c, 0x3ffc7caa, - 0x415fd4d2, 0x3ffc38d1, 0x416c650b, 0x3ffbf280, - 0x4178f536, 0x3ffba9b8, 0x41858552, 0x3ffb5e78, - 0x4192155f, 0x3ffb10c1, 0x419ea55d, 0x3ffac092, - 0x41ab354b, 0x3ffa6dec, 0x41b7c528, 0x3ffa18cf, - 0x41c454f5, 0x3ff9c13a, 0x41d0e4b0, 0x3ff9672d, - 0x41dd7459, 0x3ff90aaa, 0x41ea03ef, 0x3ff8abae, - 0x41f69373, 0x3ff84a3c, 0x420322e3, 0x3ff7e652, - 0x420fb240, 0x3ff77ff1, 0x421c4188, 0x3ff71718, - 0x4228d0bb, 0x3ff6abc8, 0x42355fd9, 0x3ff63e01, - 0x4241eee2, 0x3ff5cdc3, 0x424e7dd4, 0x3ff55b0d, - 0x425b0caf, 0x3ff4e5e0, 0x42679b73, 0x3ff46e3c, - 0x42742a1f, 0x3ff3f420, 0x4280b8b3, 0x3ff3778e, - 0x428d472e, 0x3ff2f884, 0x4299d590, 0x3ff27703, - 0x42a663d8, 0x3ff1f30b, 0x42b2f207, 0x3ff16c9c, - 0x42bf801a, 0x3ff0e3b6, 0x42cc0e13, 0x3ff05858, - 0x42d89bf0, 0x3fefca84, 0x42e529b0, 0x3fef3a39, - 0x42f1b755, 0x3feea776, 0x42fe44dc, 0x3fee123d, - 0x430ad245, 0x3fed7a8c, 0x43175f91, 0x3fece065, - 0x4323ecbe, 0x3fec43c7, 0x433079cc, 0x3feba4b2, - 0x433d06bb, 0x3feb0326, 0x43499389, 0x3fea5f23, - 0x43562038, 0x3fe9b8a9, 0x4362acc5, 0x3fe90fb9, - 0x436f3931, 0x3fe86452, 0x437bc57b, 0x3fe7b674, - 0x438851a2, 0x3fe7061f, 0x4394dda7, 0x3fe65354, - 0x43a16988, 0x3fe59e12, 0x43adf546, 0x3fe4e659, - 0x43ba80df, 0x3fe42c2a, 0x43c70c54, 0x3fe36f84, - 0x43d397a3, 0x3fe2b067, 0x43e022cc, 0x3fe1eed5, - 0x43ecadcf, 0x3fe12acb, 0x43f938ac, 0x3fe0644b, - 0x4405c361, 0x3fdf9b55, 0x44124dee, 0x3fdecfe8, - 0x441ed854, 0x3fde0205, 0x442b6290, 0x3fdd31ac, - 0x4437eca4, 0x3fdc5edc, 0x4444768d, 0x3fdb8996, - 0x4451004d, 0x3fdab1d9, 0x445d89e2, 0x3fd9d7a7, - 0x446a134c, 0x3fd8fafe, 0x44769c8b, 0x3fd81bdf, - 0x4483259d, 0x3fd73a4a, 0x448fae83, 0x3fd6563f, - 0x449c373c, 0x3fd56fbe, 0x44a8bfc7, 0x3fd486c7, - 0x44b54825, 0x3fd39b5a, 0x44c1d054, 0x3fd2ad77, - 0x44ce5854, 0x3fd1bd1e, 0x44dae024, 0x3fd0ca4f, - 0x44e767c5, 0x3fcfd50b, 0x44f3ef35, 0x3fcedd50, - 0x45007674, 0x3fcde320, 0x450cfd82, 0x3fcce67a, - 0x4519845e, 0x3fcbe75e, 0x45260b08, 0x3fcae5cd, - 0x4532917f, 0x3fc9e1c6, 0x453f17c3, 0x3fc8db4a, - 0x454b9dd3, 0x3fc7d258, 0x455823ae, 0x3fc6c6f0, - 0x4564a955, 0x3fc5b913, 0x45712ec7, 0x3fc4a8c1, - 0x457db403, 0x3fc395f9, 0x458a3908, 0x3fc280bc, - 0x4596bdd7, 0x3fc1690a, 0x45a3426f, 0x3fc04ee3, - 0x45afc6d0, 0x3fbf3246, 0x45bc4af8, 0x3fbe1334, - 0x45c8cee7, 0x3fbcf1ad, 0x45d5529e, 0x3fbbcdb1, - 0x45e1d61b, 0x3fbaa740, 0x45ee595d, 0x3fb97e5a, - 0x45fadc66, 0x3fb852ff, 0x46075f33, 0x3fb7252f, - 0x4613e1c5, 0x3fb5f4ea, 0x4620641a, 0x3fb4c231, - 0x462ce634, 0x3fb38d02, 0x46396810, 0x3fb2555f, - 0x4645e9af, 0x3fb11b48, 0x46526b10, 0x3fafdebb, - 0x465eec33, 0x3fae9fbb, 0x466b6d16, 0x3fad5e45, - 0x4677edbb, 0x3fac1a5b, 0x46846e1f, 0x3faad3fd, - 0x4690ee44, 0x3fa98b2a, 0x469d6e27, 0x3fa83fe3, - 0x46a9edc9, 0x3fa6f228, 0x46b66d29, 0x3fa5a1f9, - 0x46c2ec48, 0x3fa44f55, 0x46cf6b23, 0x3fa2fa3d, - 0x46dbe9bb, 0x3fa1a2b2, 0x46e86810, 0x3fa048b2, - 0x46f4e620, 0x3f9eec3e, 0x470163eb, 0x3f9d8d56, - 0x470de172, 0x3f9c2bfb, 0x471a5eb3, 0x3f9ac82c, - 0x4726dbae, 0x3f9961e8, 0x47335862, 0x3f97f932, - 0x473fd4cf, 0x3f968e07, 0x474c50f4, 0x3f952069, - 0x4758ccd2, 0x3f93b058, 0x47654867, 0x3f923dd2, - 0x4771c3b3, 0x3f90c8da, 0x477e3eb5, 0x3f8f516e, - 0x478ab96e, 0x3f8dd78f, 0x479733dc, 0x3f8c5b3d, - 0x47a3adff, 0x3f8adc77, 0x47b027d7, 0x3f895b3e, - 0x47bca163, 0x3f87d792, 0x47c91aa3, 0x3f865174, - 0x47d59396, 0x3f84c8e2, 0x47e20c3b, 0x3f833ddd, - 0x47ee8493, 0x3f81b065, 0x47fafc9c, 0x3f80207b, - 0x48077457, 0x3f7e8e1e, 0x4813ebc2, 0x3f7cf94e, - 0x482062de, 0x3f7b620c, 0x482cd9a9, 0x3f79c857, - 0x48395024, 0x3f782c30, 0x4845c64d, 0x3f768d96, - 0x48523c25, 0x3f74ec8a, 0x485eb1ab, 0x3f73490b, - 0x486b26de, 0x3f71a31b, 0x48779bbe, 0x3f6ffab8, - 0x4884104b, 0x3f6e4fe3, 0x48908483, 0x3f6ca29c, - 0x489cf867, 0x3f6af2e3, 0x48a96bf6, 0x3f6940b8, - 0x48b5df30, 0x3f678c1c, 0x48c25213, 0x3f65d50d, - 0x48cec4a0, 0x3f641b8d, 0x48db36d6, 0x3f625f9b, - 0x48e7a8b5, 0x3f60a138, 0x48f41a3c, 0x3f5ee063, - 0x49008b6a, 0x3f5d1d1d, 0x490cfc40, 0x3f5b5765, - 0x49196cbc, 0x3f598f3c, 0x4925dcdf, 0x3f57c4a2, - 0x49324ca7, 0x3f55f796, 0x493ebc14, 0x3f54281a, - 0x494b2b27, 0x3f52562c, 0x495799dd, 0x3f5081cd, - 0x49640837, 0x3f4eaafe, 0x49707635, 0x3f4cd1be, - 0x497ce3d5, 0x3f4af60d, 0x49895118, 0x3f4917eb, - 0x4995bdfd, 0x3f473759, 0x49a22a83, 0x3f455456, - 0x49ae96aa, 0x3f436ee3, 0x49bb0271, 0x3f4186ff, - 0x49c76dd8, 0x3f3f9cab, 0x49d3d8df, 0x3f3dafe7, - 0x49e04385, 0x3f3bc0b3, 0x49ecadc9, 0x3f39cf0e, - 0x49f917ac, 0x3f37dafa, 0x4a05812c, 0x3f35e476, - 0x4a11ea49, 0x3f33eb81, 0x4a1e5303, 0x3f31f01d, - 0x4a2abb59, 0x3f2ff24a, 0x4a37234a, 0x3f2df206, - 0x4a438ad7, 0x3f2bef53, 0x4a4ff1fe, 0x3f29ea31, - 0x4a5c58c0, 0x3f27e29f, 0x4a68bf1b, 0x3f25d89e, - 0x4a752510, 0x3f23cc2e, 0x4a818a9d, 0x3f21bd4e, - 0x4a8defc3, 0x3f1fabff, 0x4a9a5480, 0x3f1d9842, - 0x4aa6b8d5, 0x3f1b8215, 0x4ab31cc1, 0x3f19697a, - 0x4abf8043, 0x3f174e70, 0x4acbe35b, 0x3f1530f7, - 0x4ad84609, 0x3f13110f, 0x4ae4a84b, 0x3f10eeb9, - 0x4af10a22, 0x3f0ec9f5, 0x4afd6b8d, 0x3f0ca2c2, - 0x4b09cc8c, 0x3f0a7921, 0x4b162d1d, 0x3f084d12, - 0x4b228d42, 0x3f061e95, 0x4b2eecf8, 0x3f03eda9, - 0x4b3b4c40, 0x3f01ba50, 0x4b47ab19, 0x3eff8489, - 0x4b540982, 0x3efd4c54, 0x4b60677c, 0x3efb11b1, - 0x4b6cc506, 0x3ef8d4a1, 0x4b79221f, 0x3ef69523, - 0x4b857ec7, 0x3ef45338, 0x4b91dafc, 0x3ef20ee0, - 0x4b9e36c0, 0x3eefc81a, 0x4baa9211, 0x3eed7ee7, - 0x4bb6ecef, 0x3eeb3347, 0x4bc34759, 0x3ee8e53a, - 0x4bcfa150, 0x3ee694c1, 0x4bdbfad1, 0x3ee441da, - 0x4be853de, 0x3ee1ec87, 0x4bf4ac75, 0x3edf94c7, - 0x4c010496, 0x3edd3a9a, 0x4c0d5c41, 0x3edade01, - 0x4c19b374, 0x3ed87efc, 0x4c260a31, 0x3ed61d8a, - 0x4c326075, 0x3ed3b9ad, 0x4c3eb641, 0x3ed15363, - 0x4c4b0b94, 0x3eceeaad, 0x4c57606e, 0x3ecc7f8b, - 0x4c63b4ce, 0x3eca11fe, 0x4c7008b3, 0x3ec7a205, - 0x4c7c5c1e, 0x3ec52fa0, 0x4c88af0e, 0x3ec2bad0, - 0x4c950182, 0x3ec04394, 0x4ca1537a, 0x3ebdc9ed, - 0x4cada4f5, 0x3ebb4ddb, 0x4cb9f5f3, 0x3eb8cf5d, - 0x4cc64673, 0x3eb64e75, 0x4cd29676, 0x3eb3cb21, - 0x4cdee5f9, 0x3eb14563, 0x4ceb34fe, 0x3eaebd3a, - 0x4cf78383, 0x3eac32a6, 0x4d03d189, 0x3ea9a5a8, - 0x4d101f0e, 0x3ea7163f, 0x4d1c6c11, 0x3ea4846c, - 0x4d28b894, 0x3ea1f02f, 0x4d350495, 0x3e9f5988, - 0x4d415013, 0x3e9cc076, 0x4d4d9b0e, 0x3e9a24fb, - 0x4d59e586, 0x3e978715, 0x4d662f7b, 0x3e94e6c6, - 0x4d7278eb, 0x3e92440d, 0x4d7ec1d6, 0x3e8f9eeb, - 0x4d8b0a3d, 0x3e8cf75f, 0x4d97521d, 0x3e8a4d6a, - 0x4da39978, 0x3e87a10c, 0x4dafe04b, 0x3e84f245, - 0x4dbc2698, 0x3e824114, 0x4dc86c5d, 0x3e7f8d7b, - 0x4dd4b19a, 0x3e7cd778, 0x4de0f64f, 0x3e7a1f0d, - 0x4ded3a7b, 0x3e77643a, 0x4df97e1d, 0x3e74a6fd, - 0x4e05c135, 0x3e71e759, 0x4e1203c3, 0x3e6f254c, - 0x4e1e45c6, 0x3e6c60d7, 0x4e2a873e, 0x3e6999fa, - 0x4e36c82a, 0x3e66d0b4, 0x4e430889, 0x3e640507, - 0x4e4f485c, 0x3e6136f3, 0x4e5b87a2, 0x3e5e6676, - 0x4e67c65a, 0x3e5b9392, 0x4e740483, 0x3e58be47, - 0x4e80421e, 0x3e55e694, 0x4e8c7f2a, 0x3e530c7a, - 0x4e98bba7, 0x3e502ff9, 0x4ea4f793, 0x3e4d5110, - 0x4eb132ef, 0x3e4a6fc1, 0x4ebd6db9, 0x3e478c0b, - 0x4ec9a7f3, 0x3e44a5ef, 0x4ed5e19a, 0x3e41bd6c, - 0x4ee21aaf, 0x3e3ed282, 0x4eee5331, 0x3e3be532, - 0x4efa8b20, 0x3e38f57c, 0x4f06c27a, 0x3e360360, - 0x4f12f941, 0x3e330ede, 0x4f1f2f73, 0x3e3017f6, - 0x4f2b650f, 0x3e2d1ea8, 0x4f379a16, 0x3e2a22f4, - 0x4f43ce86, 0x3e2724db, 0x4f500260, 0x3e24245d, - 0x4f5c35a3, 0x3e212179, 0x4f68684e, 0x3e1e1c30, - 0x4f749a61, 0x3e1b1482, 0x4f80cbdc, 0x3e180a6f, - 0x4f8cfcbe, 0x3e14fdf7, 0x4f992d06, 0x3e11ef1b, - 0x4fa55cb4, 0x3e0eddd9, 0x4fb18bc8, 0x3e0bca34, - 0x4fbdba40, 0x3e08b42a, 0x4fc9e81e, 0x3e059bbb, - 0x4fd6155f, 0x3e0280e9, 0x4fe24205, 0x3dff63b2, - 0x4fee6e0d, 0x3dfc4418, 0x4ffa9979, 0x3df9221a, - 0x5006c446, 0x3df5fdb8, 0x5012ee76, 0x3df2d6f3, - 0x501f1807, 0x3defadca, 0x502b40f8, 0x3dec823e, - 0x5037694b, 0x3de9544f, 0x504390fd, 0x3de623fd, - 0x504fb80e, 0x3de2f148, 0x505bde7f, 0x3ddfbc30, - 0x5068044e, 0x3ddc84b5, 0x5074297b, 0x3dd94ad8, - 0x50804e06, 0x3dd60e99, 0x508c71ee, 0x3dd2cff7, - 0x50989532, 0x3dcf8ef3, 0x50a4b7d3, 0x3dcc4b8d, - 0x50b0d9d0, 0x3dc905c5, 0x50bcfb28, 0x3dc5bd9b, - 0x50c91bda, 0x3dc2730f, 0x50d53be7, 0x3dbf2622, - 0x50e15b4e, 0x3dbbd6d4, 0x50ed7a0e, 0x3db88524, - 0x50f99827, 0x3db53113, 0x5105b599, 0x3db1daa2, - 0x5111d263, 0x3dae81cf, 0x511dee84, 0x3dab269b, - 0x512a09fc, 0x3da7c907, 0x513624cb, 0x3da46912, - 0x51423ef0, 0x3da106bd, 0x514e586a, 0x3d9da208, - 0x515a713a, 0x3d9a3af2, 0x5166895f, 0x3d96d17d, - 0x5172a0d7, 0x3d9365a8, 0x517eb7a4, 0x3d8ff772, - 0x518acdc4, 0x3d8c86de, 0x5196e337, 0x3d8913ea, - 0x51a2f7fc, 0x3d859e96, 0x51af0c13, 0x3d8226e4, - 0x51bb1f7c, 0x3d7eacd2, 0x51c73235, 0x3d7b3061, - 0x51d3443f, 0x3d77b192, 0x51df5599, 0x3d743064, - 0x51eb6643, 0x3d70acd7, 0x51f7763c, 0x3d6d26ec, - 0x52038584, 0x3d699ea3, 0x520f941a, 0x3d6613fb, - 0x521ba1fd, 0x3d6286f6, 0x5227af2e, 0x3d5ef793, - 0x5233bbac, 0x3d5b65d2, 0x523fc776, 0x3d57d1b3, - 0x524bd28c, 0x3d543b37, 0x5257dced, 0x3d50a25e, - 0x5263e699, 0x3d4d0728, 0x526fef90, 0x3d496994, - 0x527bf7d1, 0x3d45c9a4, 0x5287ff5b, 0x3d422757, - 0x5294062f, 0x3d3e82ae, 0x52a00c4b, 0x3d3adba7, - 0x52ac11af, 0x3d373245, 0x52b8165b, 0x3d338687, - 0x52c41a4f, 0x3d2fd86c, 0x52d01d89, 0x3d2c27f6, - 0x52dc2009, 0x3d287523, 0x52e821cf, 0x3d24bff6, - 0x52f422db, 0x3d21086c, 0x5300232c, 0x3d1d4e88, - 0x530c22c1, 0x3d199248, 0x5318219a, 0x3d15d3ad, - 0x53241fb6, 0x3d1212b7, 0x53301d16, 0x3d0e4f67, - 0x533c19b8, 0x3d0a89bc, 0x5348159d, 0x3d06c1b6, - 0x535410c3, 0x3d02f757, 0x53600b2a, 0x3cff2a9d, - 0x536c04d2, 0x3cfb5b89, 0x5377fdbb, 0x3cf78a1b, - 0x5383f5e3, 0x3cf3b653, 0x538fed4b, 0x3cefe032, - 0x539be3f2, 0x3cec07b8, 0x53a7d9d7, 0x3ce82ce4, - 0x53b3cefa, 0x3ce44fb7, 0x53bfc35b, 0x3ce07031, - 0x53cbb6f8, 0x3cdc8e52, 0x53d7a9d3, 0x3cd8aa1b, - 0x53e39be9, 0x3cd4c38b, 0x53ef8d3c, 0x3cd0daa2, - 0x53fb7dc9, 0x3cccef62, 0x54076d91, 0x3cc901c9, - 0x54135c94, 0x3cc511d9, 0x541f4ad1, 0x3cc11f90, - 0x542b3846, 0x3cbd2af0, 0x543724f5, 0x3cb933f9, - 0x544310dd, 0x3cb53aaa, 0x544efbfc, 0x3cb13f04, - 0x545ae653, 0x3cad4107, 0x5466cfe1, 0x3ca940b3, - 0x5472b8a5, 0x3ca53e09, 0x547ea0a0, 0x3ca13908, - 0x548a87d1, 0x3c9d31b0, 0x54966e36, 0x3c992803, - 0x54a253d1, 0x3c951bff, 0x54ae38a0, 0x3c910da5, - 0x54ba1ca3, 0x3c8cfcf6, 0x54c5ffd9, 0x3c88e9f1, - 0x54d1e242, 0x3c84d496, 0x54ddc3de, 0x3c80bce7, - 0x54e9a4ac, 0x3c7ca2e2, 0x54f584ac, 0x3c788688, - 0x550163dc, 0x3c7467d9, 0x550d423d, 0x3c7046d6, - 0x55191fcf, 0x3c6c237e, 0x5524fc90, 0x3c67fdd1, - 0x5530d881, 0x3c63d5d1, 0x553cb3a0, 0x3c5fab7c, - 0x55488dee, 0x3c5b7ed4, 0x5554676a, 0x3c574fd8, - 0x55604013, 0x3c531e88, 0x556c17e9, 0x3c4eeae5, - 0x5577eeec, 0x3c4ab4ef, 0x5583c51b, 0x3c467ca6, - 0x558f9a76, 0x3c42420a, 0x559b6efb, 0x3c3e051b, - 0x55a742ac, 0x3c39c5da, 0x55b31587, 0x3c358446, - 0x55bee78c, 0x3c314060, 0x55cab8ba, 0x3c2cfa28, - 0x55d68911, 0x3c28b19e, 0x55e25890, 0x3c2466c2, - 0x55ee2738, 0x3c201994, 0x55f9f507, 0x3c1bca16, - 0x5605c1fd, 0x3c177845, 0x56118e1a, 0x3c132424, - 0x561d595d, 0x3c0ecdb2, 0x562923c5, 0x3c0a74f0, - 0x5634ed53, 0x3c0619dc, 0x5640b606, 0x3c01bc78, - 0x564c7ddd, 0x3bfd5cc4, 0x565844d8, 0x3bf8fac0, - 0x56640af7, 0x3bf4966c, 0x566fd039, 0x3bf02fc9, - 0x567b949d, 0x3bebc6d5, 0x56875823, 0x3be75b93, - 0x56931acb, 0x3be2ee01, 0x569edc94, 0x3bde7e20, - 0x56aa9d7e, 0x3bda0bf0, 0x56b65d88, 0x3bd59771, - 0x56c21cb2, 0x3bd120a4, 0x56cddafb, 0x3bcca789, - 0x56d99864, 0x3bc82c1f, 0x56e554ea, 0x3bc3ae67, - 0x56f1108f, 0x3bbf2e62, 0x56fccb51, 0x3bbaac0e, - 0x57088531, 0x3bb6276e, 0x57143e2d, 0x3bb1a080, - 0x571ff646, 0x3bad1744, 0x572bad7a, 0x3ba88bbc, - 0x573763c9, 0x3ba3fde7, 0x57431933, 0x3b9f6dc5, - 0x574ecdb8, 0x3b9adb57, 0x575a8157, 0x3b96469d, - 0x5766340f, 0x3b91af97, 0x5771e5e0, 0x3b8d1644, - 0x577d96ca, 0x3b887aa6, 0x578946cc, 0x3b83dcbc, - 0x5794f5e6, 0x3b7f3c87, 0x57a0a417, 0x3b7a9a07, - 0x57ac515f, 0x3b75f53c, 0x57b7fdbd, 0x3b714e25, - 0x57c3a931, 0x3b6ca4c4, 0x57cf53bb, 0x3b67f919, - 0x57dafd59, 0x3b634b23, 0x57e6a60c, 0x3b5e9ae4, - 0x57f24dd3, 0x3b59e85a, 0x57fdf4ae, 0x3b553386, - 0x58099a9c, 0x3b507c69, 0x58153f9d, 0x3b4bc303, - 0x5820e3b0, 0x3b470753, 0x582c86d5, 0x3b42495a, - 0x5838290c, 0x3b3d8918, 0x5843ca53, 0x3b38c68e, - 0x584f6aab, 0x3b3401bb, 0x585b0a13, 0x3b2f3aa0, - 0x5866a88a, 0x3b2a713d, 0x58724611, 0x3b25a591, - 0x587de2a7, 0x3b20d79e, 0x58897e4a, 0x3b1c0764, - 0x589518fc, 0x3b1734e2, 0x58a0b2bb, 0x3b126019, - 0x58ac4b87, 0x3b0d8909, 0x58b7e35f, 0x3b08afb2, - 0x58c37a44, 0x3b03d414, 0x58cf1034, 0x3afef630, - 0x58daa52f, 0x3afa1605, 0x58e63935, 0x3af53395, - 0x58f1cc45, 0x3af04edf, 0x58fd5e5f, 0x3aeb67e3, - 0x5908ef82, 0x3ae67ea1, 0x59147fae, 0x3ae1931a, - 0x59200ee3, 0x3adca54e, 0x592b9d1f, 0x3ad7b53d, - 0x59372a64, 0x3ad2c2e8, 0x5942b6af, 0x3acdce4d, - 0x594e4201, 0x3ac8d76f, 0x5959cc5a, 0x3ac3de4c, - 0x596555b8, 0x3abee2e5, 0x5970de1b, 0x3ab9e53a, - 0x597c6584, 0x3ab4e54c, 0x5987ebf0, 0x3aafe31b, - 0x59937161, 0x3aaadea6, 0x599ef5d6, 0x3aa5d7ee, - 0x59aa794d, 0x3aa0cef3, 0x59b5fbc8, 0x3a9bc3b6, - 0x59c17d44, 0x3a96b636, 0x59ccfdc2, 0x3a91a674, - 0x59d87d42, 0x3a8c9470, 0x59e3fbc3, 0x3a87802a, - 0x59ef7944, 0x3a8269a3, 0x59faf5c5, 0x3a7d50da, - 0x5a067145, 0x3a7835cf, 0x5a11ebc5, 0x3a731884, - 0x5a1d6544, 0x3a6df8f8, 0x5a28ddc0, 0x3a68d72b, - 0x5a34553b, 0x3a63b31d, 0x5a3fcbb3, 0x3a5e8cd0, - 0x5a4b4128, 0x3a596442, 0x5a56b599, 0x3a543974, - 0x5a622907, 0x3a4f0c67, 0x5a6d9b70, 0x3a49dd1a, - 0x5a790cd4, 0x3a44ab8e, 0x5a847d33, 0x3a3f77c3, - 0x5a8fec8c, 0x3a3a41b9, 0x5a9b5adf, 0x3a350970, - 0x5aa6c82b, 0x3a2fcee8, 0x5ab23471, 0x3a2a9223, - 0x5abd9faf, 0x3a25531f, 0x5ac909e5, 0x3a2011de, - 0x5ad47312, 0x3a1ace5f, 0x5adfdb37, 0x3a1588a2, - 0x5aeb4253, 0x3a1040a8, 0x5af6a865, 0x3a0af671, - 0x5b020d6c, 0x3a05a9fd, 0x5b0d716a, 0x3a005b4d, - 0x5b18d45c, 0x39fb0a60, 0x5b243643, 0x39f5b737, - 0x5b2f971e, 0x39f061d2, 0x5b3af6ec, 0x39eb0a31, - 0x5b4655ae, 0x39e5b054, 0x5b51b363, 0x39e0543c, - 0x5b5d100a, 0x39daf5e8, 0x5b686ba3, 0x39d5955a, - 0x5b73c62d, 0x39d03291, 0x5b7f1fa9, 0x39cacd8d, - 0x5b8a7815, 0x39c5664f, 0x5b95cf71, 0x39bffcd7, - 0x5ba125bd, 0x39ba9125, 0x5bac7af9, 0x39b52339, - 0x5bb7cf23, 0x39afb313, 0x5bc3223c, 0x39aa40b4, - 0x5bce7442, 0x39a4cc1c, 0x5bd9c537, 0x399f554b, - 0x5be51518, 0x3999dc42, 0x5bf063e6, 0x399460ff, - 0x5bfbb1a0, 0x398ee385, 0x5c06fe46, 0x398963d2, - 0x5c1249d8, 0x3983e1e8, 0x5c1d9454, 0x397e5dc6, - 0x5c28ddbb, 0x3978d76c, 0x5c34260c, 0x39734edc, - 0x5c3f6d47, 0x396dc414, 0x5c4ab36b, 0x39683715, - 0x5c55f878, 0x3962a7e0, 0x5c613c6d, 0x395d1675, - 0x5c6c7f4a, 0x395782d3, 0x5c77c10e, 0x3951ecfc, - 0x5c8301b9, 0x394c54ee, 0x5c8e414b, 0x3946baac, - 0x5c997fc4, 0x39411e33, 0x5ca4bd21, 0x393b7f86, - 0x5caff965, 0x3935dea4, 0x5cbb348d, 0x39303b8e, - 0x5cc66e99, 0x392a9642, 0x5cd1a78a, 0x3924eec3, - 0x5cdcdf5e, 0x391f4510, 0x5ce81615, 0x39199929, - 0x5cf34baf, 0x3913eb0e, 0x5cfe802b, 0x390e3ac0, - 0x5d09b389, 0x3908883f, 0x5d14e5c9, 0x3902d38b, - 0x5d2016e9, 0x38fd1ca4, 0x5d2b46ea, 0x38f7638b, - 0x5d3675cb, 0x38f1a840, 0x5d41a38c, 0x38ebeac2, - 0x5d4cd02c, 0x38e62b13, 0x5d57fbaa, 0x38e06932, - 0x5d632608, 0x38daa520, 0x5d6e4f43, 0x38d4dedd, - 0x5d79775c, 0x38cf1669, 0x5d849e51, 0x38c94bc4, - 0x5d8fc424, 0x38c37eef, 0x5d9ae8d2, 0x38bdafea, - 0x5da60c5d, 0x38b7deb4, 0x5db12ec3, 0x38b20b4f, - 0x5dbc5004, 0x38ac35ba, 0x5dc7701f, 0x38a65df6, - 0x5dd28f15, 0x38a08402, 0x5dddace4, 0x389aa7e0, - 0x5de8c98c, 0x3894c98f, 0x5df3e50d, 0x388ee910, - 0x5dfeff67, 0x38890663, 0x5e0a1898, 0x38832187, - 0x5e1530a1, 0x387d3a7e, 0x5e204781, 0x38775147, - 0x5e2b5d38, 0x387165e3, 0x5e3671c5, 0x386b7852, - 0x5e418528, 0x38658894, 0x5e4c9760, 0x385f96a9, - 0x5e57a86d, 0x3859a292, 0x5e62b84f, 0x3853ac4f, - 0x5e6dc705, 0x384db3e0, 0x5e78d48e, 0x3847b946, - 0x5e83e0eb, 0x3841bc7f, 0x5e8eec1b, 0x383bbd8e, - 0x5e99f61d, 0x3835bc71, 0x5ea4fef0, 0x382fb92a, - 0x5eb00696, 0x3829b3b9, 0x5ebb0d0d, 0x3823ac1d, - 0x5ec61254, 0x381da256, 0x5ed1166b, 0x38179666, - 0x5edc1953, 0x3811884d, 0x5ee71b0a, 0x380b780a, - 0x5ef21b90, 0x3805659e, 0x5efd1ae4, 0x37ff5109, - 0x5f081907, 0x37f93a4b, 0x5f1315f7, 0x37f32165, - 0x5f1e11b5, 0x37ed0657, 0x5f290c3f, 0x37e6e921, - 0x5f340596, 0x37e0c9c3, 0x5f3efdb9, 0x37daa83d, - 0x5f49f4a8, 0x37d48490, 0x5f54ea62, 0x37ce5ebd, - 0x5f5fdee6, 0x37c836c2, 0x5f6ad235, 0x37c20ca1, - 0x5f75c44e, 0x37bbe05a, 0x5f80b531, 0x37b5b1ec, - 0x5f8ba4dc, 0x37af8159, 0x5f969350, 0x37a94ea0, - 0x5fa1808c, 0x37a319c2, 0x5fac6c91, 0x379ce2be, - 0x5fb7575c, 0x3796a996, 0x5fc240ef, 0x37906e49, - 0x5fcd2948, 0x378a30d8, 0x5fd81067, 0x3783f143, - 0x5fe2f64c, 0x377daf89, 0x5feddaf6, 0x37776bac, - 0x5ff8be65, 0x377125ac, 0x6003a099, 0x376add88, - 0x600e8190, 0x37649341, 0x6019614c, 0x375e46d8, - 0x60243fca, 0x3757f84c, 0x602f1d0b, 0x3751a79e, - 0x6039f90f, 0x374b54ce, 0x6044d3d4, 0x3744ffdd, - 0x604fad5b, 0x373ea8ca, 0x605a85a3, 0x37384f95, - 0x60655cac, 0x3731f440, 0x60703275, 0x372b96ca, - 0x607b06fe, 0x37253733, 0x6085da46, 0x371ed57c, - 0x6090ac4d, 0x371871a5, 0x609b7d13, 0x37120bae, - 0x60a64c97, 0x370ba398, 0x60b11ad9, 0x37053962, - 0x60bbe7d8, 0x36fecd0e, 0x60c6b395, 0x36f85e9a, - 0x60d17e0d, 0x36f1ee09, 0x60dc4742, 0x36eb7b58, - 0x60e70f32, 0x36e5068a, 0x60f1d5de, 0x36de8f9e, - 0x60fc9b44, 0x36d81695, 0x61075f65, 0x36d19b6e, - 0x61122240, 0x36cb1e2a, 0x611ce3d5, 0x36c49ec9, - 0x6127a423, 0x36be1d4c, 0x61326329, 0x36b799b3, - 0x613d20e8, 0x36b113fd, 0x6147dd5f, 0x36aa8c2c, - 0x6152988d, 0x36a4023f, 0x615d5273, 0x369d7637, - 0x61680b0f, 0x3696e814, 0x6172c262, 0x369057d6, - 0x617d786a, 0x3689c57d, 0x61882d28, 0x3683310b, - 0x6192e09b, 0x367c9a7e, 0x619d92c2, 0x367601d7, - 0x61a8439e, 0x366f6717, 0x61b2f32e, 0x3668ca3e, - 0x61bda171, 0x36622b4c, 0x61c84e67, 0x365b8a41, - 0x61d2fa0f, 0x3654e71d, 0x61dda46a, 0x364e41e2, - 0x61e84d76, 0x36479a8e, 0x61f2f534, 0x3640f123, - 0x61fd9ba3, 0x363a45a0, 0x620840c2, 0x36339806, - 0x6212e492, 0x362ce855, 0x621d8711, 0x3626368d, - 0x6228283f, 0x361f82af, 0x6232c81c, 0x3618ccba, - 0x623d66a8, 0x361214b0, 0x624803e2, 0x360b5a90, - 0x62529fca, 0x36049e5b, 0x625d3a5e, 0x35fde011, - 0x6267d3a0, 0x35f71fb1, 0x62726b8e, 0x35f05d3d, - 0x627d0228, 0x35e998b5, 0x6287976e, 0x35e2d219, - 0x62922b5e, 0x35dc0968, 0x629cbdfa, 0x35d53ea5, - 0x62a74f40, 0x35ce71ce, 0x62b1df30, 0x35c7a2e3, - 0x62bc6dca, 0x35c0d1e7, 0x62c6fb0c, 0x35b9fed7, - 0x62d186f8, 0x35b329b5, 0x62dc118c, 0x35ac5282, - 0x62e69ac8, 0x35a5793c, 0x62f122ab, 0x359e9de5, - 0x62fba936, 0x3597c07d, 0x63062e67, 0x3590e104, - 0x6310b23e, 0x3589ff7a, 0x631b34bc, 0x35831be0, - 0x6325b5df, 0x357c3636, 0x633035a7, 0x35754e7c, - 0x633ab414, 0x356e64b2, 0x63453125, 0x356778d9, - 0x634facda, 0x35608af1, 0x635a2733, 0x35599afa, - 0x6364a02e, 0x3552a8f4, 0x636f17cc, 0x354bb4e1, - 0x63798e0d, 0x3544bebf, 0x638402ef, 0x353dc68f, - 0x638e7673, 0x3536cc52, 0x6398e898, 0x352fd008, - 0x63a3595e, 0x3528d1b1, 0x63adc8c4, 0x3521d14d, - 0x63b836ca, 0x351acedd, 0x63c2a36f, 0x3513ca60, - 0x63cd0eb3, 0x350cc3d8, 0x63d77896, 0x3505bb44, - 0x63e1e117, 0x34feb0a5, 0x63ec4837, 0x34f7a3fb, - 0x63f6adf3, 0x34f09546, 0x6401124d, 0x34e98487, - 0x640b7543, 0x34e271bd, 0x6415d6d5, 0x34db5cea, - 0x64203704, 0x34d4460c, 0x642a95ce, 0x34cd2d26, - 0x6434f332, 0x34c61236, 0x643f4f32, 0x34bef53d, - 0x6449a9cc, 0x34b7d63c, 0x645402ff, 0x34b0b533, - 0x645e5acc, 0x34a99221, 0x6468b132, 0x34a26d08, - 0x64730631, 0x349b45e7, 0x647d59c8, 0x34941cbf, - 0x6487abf7, 0x348cf190, 0x6491fcbe, 0x3485c45b, - 0x649c4c1b, 0x347e951f, 0x64a69a0f, 0x347763dd, - 0x64b0e699, 0x34703095, 0x64bb31ba, 0x3468fb47, - 0x64c57b6f, 0x3461c3f5, 0x64cfc3ba, 0x345a8a9d, - 0x64da0a9a, 0x34534f41, 0x64e4500e, 0x344c11e0, - 0x64ee9415, 0x3444d27b, 0x64f8d6b0, 0x343d9112, - 0x650317df, 0x34364da6, 0x650d57a0, 0x342f0836, - 0x651795f3, 0x3427c0c3, 0x6521d2d8, 0x3420774d, - 0x652c0e4f, 0x34192bd5, 0x65364857, 0x3411de5b, - 0x654080ef, 0x340a8edf, 0x654ab818, 0x34033d61, - 0x6554edd1, 0x33fbe9e2, 0x655f2219, 0x33f49462, - 0x656954f1, 0x33ed3ce1, 0x65738657, 0x33e5e360, - 0x657db64c, 0x33de87de, 0x6587e4cf, 0x33d72a5d, - 0x659211df, 0x33cfcadc, 0x659c3d7c, 0x33c8695b, - 0x65a667a7, 0x33c105db, 0x65b0905d, 0x33b9a05d, - 0x65bab7a0, 0x33b238e0, 0x65c4dd6e, 0x33aacf65, - 0x65cf01c8, 0x33a363ec, 0x65d924ac, 0x339bf675, - 0x65e3461b, 0x33948701, 0x65ed6614, 0x338d1590, - 0x65f78497, 0x3385a222, 0x6601a1a2, 0x337e2cb7, - 0x660bbd37, 0x3376b551, 0x6615d754, 0x336f3bee, - 0x661feffa, 0x3367c090, 0x662a0727, 0x33604336, - 0x66341cdb, 0x3358c3e2, 0x663e3117, 0x33514292, - 0x664843d9, 0x3349bf48, 0x66525521, 0x33423a04, - 0x665c64ef, 0x333ab2c6, 0x66667342, 0x3333298f, - 0x6670801a, 0x332b9e5e, 0x667a8b77, 0x33241134, - 0x66849558, 0x331c8211, 0x668e9dbd, 0x3314f0f6, - 0x6698a4a6, 0x330d5de3, 0x66a2aa11, 0x3305c8d7, - 0x66acadff, 0x32fe31d5, 0x66b6b070, 0x32f698db, - 0x66c0b162, 0x32eefdea, 0x66cab0d6, 0x32e76102, - 0x66d4aecb, 0x32dfc224, 0x66deab41, 0x32d82150, - 0x66e8a637, 0x32d07e85, 0x66f29fad, 0x32c8d9c6, - 0x66fc97a3, 0x32c13311, 0x67068e18, 0x32b98a67, - 0x6710830c, 0x32b1dfc9, 0x671a767e, 0x32aa3336, - 0x6724686e, 0x32a284b0, 0x672e58dc, 0x329ad435, - 0x673847c8, 0x329321c7, 0x67423530, 0x328b6d66, - 0x674c2115, 0x3283b712, 0x67560b76, 0x327bfecc, - 0x675ff452, 0x32744493, 0x6769dbaa, 0x326c8868, - 0x6773c17d, 0x3264ca4c, 0x677da5cb, 0x325d0a3e, - 0x67878893, 0x32554840, 0x679169d5, 0x324d8450, - 0x679b4990, 0x3245be70, 0x67a527c4, 0x323df6a0, - 0x67af0472, 0x32362ce0, 0x67b8df97, 0x322e6130, - 0x67c2b934, 0x32269391, 0x67cc9149, 0x321ec403, - 0x67d667d5, 0x3216f287, 0x67e03cd8, 0x320f1f1c, - 0x67ea1052, 0x320749c3, 0x67f3e241, 0x31ff727c, - 0x67fdb2a7, 0x31f79948, 0x68078181, 0x31efbe27, - 0x68114ed0, 0x31e7e118, 0x681b1a94, 0x31e0021e, - 0x6824e4cc, 0x31d82137, 0x682ead78, 0x31d03e64, - 0x68387498, 0x31c859a5, 0x68423a2a, 0x31c072fb, - 0x684bfe2f, 0x31b88a66, 0x6855c0a6, 0x31b09fe7, - 0x685f8190, 0x31a8b37c, 0x686940ea, 0x31a0c528, - 0x6872feb6, 0x3198d4ea, 0x687cbaf3, 0x3190e2c3, - 0x688675a0, 0x3188eeb2, 0x68902ebd, 0x3180f8b8, - 0x6899e64a, 0x317900d6, 0x68a39c46, 0x3171070c, - 0x68ad50b1, 0x31690b59, 0x68b7038b, 0x31610dbf, - 0x68c0b4d2, 0x31590e3e, 0x68ca6488, 0x31510cd5, - 0x68d412ab, 0x31490986, 0x68ddbf3b, 0x31410450, - 0x68e76a37, 0x3138fd35, 0x68f113a0, 0x3130f433, - 0x68fabb75, 0x3128e94c, 0x690461b5, 0x3120dc80, - 0x690e0661, 0x3118cdcf, 0x6917a977, 0x3110bd39, - 0x69214af8, 0x3108aabf, 0x692aeae3, 0x31009661, - 0x69348937, 0x30f8801f, 0x693e25f5, 0x30f067fb, - 0x6947c11c, 0x30e84df3, 0x69515aab, 0x30e03208, - 0x695af2a3, 0x30d8143b, 0x69648902, 0x30cff48c, - 0x696e1dc9, 0x30c7d2fb, 0x6977b0f7, 0x30bfaf89, - 0x6981428c, 0x30b78a36, 0x698ad287, 0x30af6302, - 0x699460e8, 0x30a739ed, 0x699dedaf, 0x309f0ef8, - 0x69a778db, 0x3096e223, 0x69b1026c, 0x308eb36f, - 0x69ba8a61, 0x308682dc, 0x69c410ba, 0x307e5069, - 0x69cd9578, 0x30761c18, 0x69d71899, 0x306de5e9, - 0x69e09a1c, 0x3065addb, 0x69ea1a03, 0x305d73f0, - 0x69f3984c, 0x30553828, 0x69fd14f6, 0x304cfa83, - 0x6a069003, 0x3044bb00, 0x6a100970, 0x303c79a2, - 0x6a19813f, 0x30343667, 0x6a22f76e, 0x302bf151, - 0x6a2c6bfd, 0x3023aa5f, 0x6a35deeb, 0x301b6193, - 0x6a3f503a, 0x301316eb, 0x6a48bfe7, 0x300aca69, - 0x6a522df3, 0x30027c0c, 0x6a5b9a5d, 0x2ffa2bd6, - 0x6a650525, 0x2ff1d9c7, 0x6a6e6e4b, 0x2fe985de, - 0x6a77d5ce, 0x2fe1301c, 0x6a813bae, 0x2fd8d882, - 0x6a8a9fea, 0x2fd07f0f, 0x6a940283, 0x2fc823c5, - 0x6a9d6377, 0x2fbfc6a3, 0x6aa6c2c6, 0x2fb767aa, - 0x6ab02071, 0x2faf06da, 0x6ab97c77, 0x2fa6a433, - 0x6ac2d6d6, 0x2f9e3fb6, 0x6acc2f90, 0x2f95d963, - 0x6ad586a3, 0x2f8d713a, 0x6adedc10, 0x2f85073c, - 0x6ae82fd5, 0x2f7c9b69, 0x6af181f3, 0x2f742dc1, - 0x6afad269, 0x2f6bbe45, 0x6b042137, 0x2f634cf5, - 0x6b0d6e5c, 0x2f5ad9d1, 0x6b16b9d9, 0x2f5264da, - 0x6b2003ac, 0x2f49ee0f, 0x6b294bd5, 0x2f417573, - 0x6b329255, 0x2f38fb03, 0x6b3bd72a, 0x2f307ec2, - 0x6b451a55, 0x2f2800af, 0x6b4e5bd4, 0x2f1f80ca, - 0x6b579ba8, 0x2f16ff14, 0x6b60d9d0, 0x2f0e7b8e, - 0x6b6a164d, 0x2f05f637, 0x6b73511c, 0x2efd6f10, - 0x6b7c8a3f, 0x2ef4e619, 0x6b85c1b5, 0x2eec5b53, - 0x6b8ef77d, 0x2ee3cebe, 0x6b982b97, 0x2edb405a, - 0x6ba15e03, 0x2ed2b027, 0x6baa8ec0, 0x2eca1e27, - 0x6bb3bdce, 0x2ec18a58, 0x6bbceb2d, 0x2eb8f4bc, - 0x6bc616dd, 0x2eb05d53, 0x6bcf40dc, 0x2ea7c41e, - 0x6bd8692b, 0x2e9f291b, 0x6be18fc9, 0x2e968c4d, - 0x6beab4b6, 0x2e8dedb3, 0x6bf3d7f2, 0x2e854d4d, - 0x6bfcf97c, 0x2e7cab1c, 0x6c061953, 0x2e740720, - 0x6c0f3779, 0x2e6b615a, 0x6c1853eb, 0x2e62b9ca, - 0x6c216eaa, 0x2e5a1070, 0x6c2a87b6, 0x2e51654c, - 0x6c339f0e, 0x2e48b860, 0x6c3cb4b1, 0x2e4009aa, - 0x6c45c8a0, 0x2e37592c, 0x6c4edada, 0x2e2ea6e6, - 0x6c57eb5e, 0x2e25f2d8, 0x6c60fa2d, 0x2e1d3d03, - 0x6c6a0746, 0x2e148566, 0x6c7312a9, 0x2e0bcc03, - 0x6c7c1c55, 0x2e0310d9, 0x6c85244a, 0x2dfa53e9, - 0x6c8e2a87, 0x2df19534, 0x6c972f0d, 0x2de8d4b8, - 0x6ca031da, 0x2de01278, 0x6ca932ef, 0x2dd74e73, - 0x6cb2324c, 0x2dce88aa, 0x6cbb2fef, 0x2dc5c11c, - 0x6cc42bd9, 0x2dbcf7cb, 0x6ccd2609, 0x2db42cb6, - 0x6cd61e7f, 0x2dab5fdf, 0x6cdf153a, 0x2da29144, - 0x6ce80a3a, 0x2d99c0e7, 0x6cf0fd80, 0x2d90eec8, - 0x6cf9ef09, 0x2d881ae8, 0x6d02ded7, 0x2d7f4545, - 0x6d0bcce8, 0x2d766de2, 0x6d14b93d, 0x2d6d94bf, - 0x6d1da3d5, 0x2d64b9da, 0x6d268cb0, 0x2d5bdd36, - 0x6d2f73cd, 0x2d52fed2, 0x6d38592c, 0x2d4a1eaf, - 0x6d413ccd, 0x2d413ccd, 0x6d4a1eaf, 0x2d38592c, - 0x6d52fed2, 0x2d2f73cd, 0x6d5bdd36, 0x2d268cb0, - 0x6d64b9da, 0x2d1da3d5, 0x6d6d94bf, 0x2d14b93d, - 0x6d766de2, 0x2d0bcce8, 0x6d7f4545, 0x2d02ded7, - 0x6d881ae8, 0x2cf9ef09, 0x6d90eec8, 0x2cf0fd80, - 0x6d99c0e7, 0x2ce80a3a, 0x6da29144, 0x2cdf153a, - 0x6dab5fdf, 0x2cd61e7f, 0x6db42cb6, 0x2ccd2609, - 0x6dbcf7cb, 0x2cc42bd9, 0x6dc5c11c, 0x2cbb2fef, - 0x6dce88aa, 0x2cb2324c, 0x6dd74e73, 0x2ca932ef, - 0x6de01278, 0x2ca031da, 0x6de8d4b8, 0x2c972f0d, - 0x6df19534, 0x2c8e2a87, 0x6dfa53e9, 0x2c85244a, - 0x6e0310d9, 0x2c7c1c55, 0x6e0bcc03, 0x2c7312a9, - 0x6e148566, 0x2c6a0746, 0x6e1d3d03, 0x2c60fa2d, - 0x6e25f2d8, 0x2c57eb5e, 0x6e2ea6e6, 0x2c4edada, - 0x6e37592c, 0x2c45c8a0, 0x6e4009aa, 0x2c3cb4b1, - 0x6e48b860, 0x2c339f0e, 0x6e51654c, 0x2c2a87b6, - 0x6e5a1070, 0x2c216eaa, 0x6e62b9ca, 0x2c1853eb, - 0x6e6b615a, 0x2c0f3779, 0x6e740720, 0x2c061953, - 0x6e7cab1c, 0x2bfcf97c, 0x6e854d4d, 0x2bf3d7f2, - 0x6e8dedb3, 0x2beab4b6, 0x6e968c4d, 0x2be18fc9, - 0x6e9f291b, 0x2bd8692b, 0x6ea7c41e, 0x2bcf40dc, - 0x6eb05d53, 0x2bc616dd, 0x6eb8f4bc, 0x2bbceb2d, - 0x6ec18a58, 0x2bb3bdce, 0x6eca1e27, 0x2baa8ec0, - 0x6ed2b027, 0x2ba15e03, 0x6edb405a, 0x2b982b97, - 0x6ee3cebe, 0x2b8ef77d, 0x6eec5b53, 0x2b85c1b5, - 0x6ef4e619, 0x2b7c8a3f, 0x6efd6f10, 0x2b73511c, - 0x6f05f637, 0x2b6a164d, 0x6f0e7b8e, 0x2b60d9d0, - 0x6f16ff14, 0x2b579ba8, 0x6f1f80ca, 0x2b4e5bd4, - 0x6f2800af, 0x2b451a55, 0x6f307ec2, 0x2b3bd72a, - 0x6f38fb03, 0x2b329255, 0x6f417573, 0x2b294bd5, - 0x6f49ee0f, 0x2b2003ac, 0x6f5264da, 0x2b16b9d9, - 0x6f5ad9d1, 0x2b0d6e5c, 0x6f634cf5, 0x2b042137, - 0x6f6bbe45, 0x2afad269, 0x6f742dc1, 0x2af181f3, - 0x6f7c9b69, 0x2ae82fd5, 0x6f85073c, 0x2adedc10, - 0x6f8d713a, 0x2ad586a3, 0x6f95d963, 0x2acc2f90, - 0x6f9e3fb6, 0x2ac2d6d6, 0x6fa6a433, 0x2ab97c77, - 0x6faf06da, 0x2ab02071, 0x6fb767aa, 0x2aa6c2c6, - 0x6fbfc6a3, 0x2a9d6377, 0x6fc823c5, 0x2a940283, - 0x6fd07f0f, 0x2a8a9fea, 0x6fd8d882, 0x2a813bae, - 0x6fe1301c, 0x2a77d5ce, 0x6fe985de, 0x2a6e6e4b, - 0x6ff1d9c7, 0x2a650525, 0x6ffa2bd6, 0x2a5b9a5d, - 0x70027c0c, 0x2a522df3, 0x700aca69, 0x2a48bfe7, - 0x701316eb, 0x2a3f503a, 0x701b6193, 0x2a35deeb, - 0x7023aa5f, 0x2a2c6bfd, 0x702bf151, 0x2a22f76e, - 0x70343667, 0x2a19813f, 0x703c79a2, 0x2a100970, - 0x7044bb00, 0x2a069003, 0x704cfa83, 0x29fd14f6, - 0x70553828, 0x29f3984c, 0x705d73f0, 0x29ea1a03, - 0x7065addb, 0x29e09a1c, 0x706de5e9, 0x29d71899, - 0x70761c18, 0x29cd9578, 0x707e5069, 0x29c410ba, - 0x708682dc, 0x29ba8a61, 0x708eb36f, 0x29b1026c, - 0x7096e223, 0x29a778db, 0x709f0ef8, 0x299dedaf, - 0x70a739ed, 0x299460e8, 0x70af6302, 0x298ad287, - 0x70b78a36, 0x2981428c, 0x70bfaf89, 0x2977b0f7, - 0x70c7d2fb, 0x296e1dc9, 0x70cff48c, 0x29648902, - 0x70d8143b, 0x295af2a3, 0x70e03208, 0x29515aab, - 0x70e84df3, 0x2947c11c, 0x70f067fb, 0x293e25f5, - 0x70f8801f, 0x29348937, 0x71009661, 0x292aeae3, - 0x7108aabf, 0x29214af8, 0x7110bd39, 0x2917a977, - 0x7118cdcf, 0x290e0661, 0x7120dc80, 0x290461b5, - 0x7128e94c, 0x28fabb75, 0x7130f433, 0x28f113a0, - 0x7138fd35, 0x28e76a37, 0x71410450, 0x28ddbf3b, - 0x71490986, 0x28d412ab, 0x71510cd5, 0x28ca6488, - 0x71590e3e, 0x28c0b4d2, 0x71610dbf, 0x28b7038b, - 0x71690b59, 0x28ad50b1, 0x7171070c, 0x28a39c46, - 0x717900d6, 0x2899e64a, 0x7180f8b8, 0x28902ebd, - 0x7188eeb2, 0x288675a0, 0x7190e2c3, 0x287cbaf3, - 0x7198d4ea, 0x2872feb6, 0x71a0c528, 0x286940ea, - 0x71a8b37c, 0x285f8190, 0x71b09fe7, 0x2855c0a6, - 0x71b88a66, 0x284bfe2f, 0x71c072fb, 0x28423a2a, - 0x71c859a5, 0x28387498, 0x71d03e64, 0x282ead78, - 0x71d82137, 0x2824e4cc, 0x71e0021e, 0x281b1a94, - 0x71e7e118, 0x28114ed0, 0x71efbe27, 0x28078181, - 0x71f79948, 0x27fdb2a7, 0x71ff727c, 0x27f3e241, - 0x720749c3, 0x27ea1052, 0x720f1f1c, 0x27e03cd8, - 0x7216f287, 0x27d667d5, 0x721ec403, 0x27cc9149, - 0x72269391, 0x27c2b934, 0x722e6130, 0x27b8df97, - 0x72362ce0, 0x27af0472, 0x723df6a0, 0x27a527c4, - 0x7245be70, 0x279b4990, 0x724d8450, 0x279169d5, - 0x72554840, 0x27878893, 0x725d0a3e, 0x277da5cb, - 0x7264ca4c, 0x2773c17d, 0x726c8868, 0x2769dbaa, - 0x72744493, 0x275ff452, 0x727bfecc, 0x27560b76, - 0x7283b712, 0x274c2115, 0x728b6d66, 0x27423530, - 0x729321c7, 0x273847c8, 0x729ad435, 0x272e58dc, - 0x72a284b0, 0x2724686e, 0x72aa3336, 0x271a767e, - 0x72b1dfc9, 0x2710830c, 0x72b98a67, 0x27068e18, - 0x72c13311, 0x26fc97a3, 0x72c8d9c6, 0x26f29fad, - 0x72d07e85, 0x26e8a637, 0x72d82150, 0x26deab41, - 0x72dfc224, 0x26d4aecb, 0x72e76102, 0x26cab0d6, - 0x72eefdea, 0x26c0b162, 0x72f698db, 0x26b6b070, - 0x72fe31d5, 0x26acadff, 0x7305c8d7, 0x26a2aa11, - 0x730d5de3, 0x2698a4a6, 0x7314f0f6, 0x268e9dbd, - 0x731c8211, 0x26849558, 0x73241134, 0x267a8b77, - 0x732b9e5e, 0x2670801a, 0x7333298f, 0x26667342, - 0x733ab2c6, 0x265c64ef, 0x73423a04, 0x26525521, - 0x7349bf48, 0x264843d9, 0x73514292, 0x263e3117, - 0x7358c3e2, 0x26341cdb, 0x73604336, 0x262a0727, - 0x7367c090, 0x261feffa, 0x736f3bee, 0x2615d754, - 0x7376b551, 0x260bbd37, 0x737e2cb7, 0x2601a1a2, - 0x7385a222, 0x25f78497, 0x738d1590, 0x25ed6614, - 0x73948701, 0x25e3461b, 0x739bf675, 0x25d924ac, - 0x73a363ec, 0x25cf01c8, 0x73aacf65, 0x25c4dd6e, - 0x73b238e0, 0x25bab7a0, 0x73b9a05d, 0x25b0905d, - 0x73c105db, 0x25a667a7, 0x73c8695b, 0x259c3d7c, - 0x73cfcadc, 0x259211df, 0x73d72a5d, 0x2587e4cf, - 0x73de87de, 0x257db64c, 0x73e5e360, 0x25738657, - 0x73ed3ce1, 0x256954f1, 0x73f49462, 0x255f2219, - 0x73fbe9e2, 0x2554edd1, 0x74033d61, 0x254ab818, - 0x740a8edf, 0x254080ef, 0x7411de5b, 0x25364857, - 0x74192bd5, 0x252c0e4f, 0x7420774d, 0x2521d2d8, - 0x7427c0c3, 0x251795f3, 0x742f0836, 0x250d57a0, - 0x74364da6, 0x250317df, 0x743d9112, 0x24f8d6b0, - 0x7444d27b, 0x24ee9415, 0x744c11e0, 0x24e4500e, - 0x74534f41, 0x24da0a9a, 0x745a8a9d, 0x24cfc3ba, - 0x7461c3f5, 0x24c57b6f, 0x7468fb47, 0x24bb31ba, - 0x74703095, 0x24b0e699, 0x747763dd, 0x24a69a0f, - 0x747e951f, 0x249c4c1b, 0x7485c45b, 0x2491fcbe, - 0x748cf190, 0x2487abf7, 0x74941cbf, 0x247d59c8, - 0x749b45e7, 0x24730631, 0x74a26d08, 0x2468b132, - 0x74a99221, 0x245e5acc, 0x74b0b533, 0x245402ff, - 0x74b7d63c, 0x2449a9cc, 0x74bef53d, 0x243f4f32, - 0x74c61236, 0x2434f332, 0x74cd2d26, 0x242a95ce, - 0x74d4460c, 0x24203704, 0x74db5cea, 0x2415d6d5, - 0x74e271bd, 0x240b7543, 0x74e98487, 0x2401124d, - 0x74f09546, 0x23f6adf3, 0x74f7a3fb, 0x23ec4837, - 0x74feb0a5, 0x23e1e117, 0x7505bb44, 0x23d77896, - 0x750cc3d8, 0x23cd0eb3, 0x7513ca60, 0x23c2a36f, - 0x751acedd, 0x23b836ca, 0x7521d14d, 0x23adc8c4, - 0x7528d1b1, 0x23a3595e, 0x752fd008, 0x2398e898, - 0x7536cc52, 0x238e7673, 0x753dc68f, 0x238402ef, - 0x7544bebf, 0x23798e0d, 0x754bb4e1, 0x236f17cc, - 0x7552a8f4, 0x2364a02e, 0x75599afa, 0x235a2733, - 0x75608af1, 0x234facda, 0x756778d9, 0x23453125, - 0x756e64b2, 0x233ab414, 0x75754e7c, 0x233035a7, - 0x757c3636, 0x2325b5df, 0x75831be0, 0x231b34bc, - 0x7589ff7a, 0x2310b23e, 0x7590e104, 0x23062e67, - 0x7597c07d, 0x22fba936, 0x759e9de5, 0x22f122ab, - 0x75a5793c, 0x22e69ac8, 0x75ac5282, 0x22dc118c, - 0x75b329b5, 0x22d186f8, 0x75b9fed7, 0x22c6fb0c, - 0x75c0d1e7, 0x22bc6dca, 0x75c7a2e3, 0x22b1df30, - 0x75ce71ce, 0x22a74f40, 0x75d53ea5, 0x229cbdfa, - 0x75dc0968, 0x22922b5e, 0x75e2d219, 0x2287976e, - 0x75e998b5, 0x227d0228, 0x75f05d3d, 0x22726b8e, - 0x75f71fb1, 0x2267d3a0, 0x75fde011, 0x225d3a5e, - 0x76049e5b, 0x22529fca, 0x760b5a90, 0x224803e2, - 0x761214b0, 0x223d66a8, 0x7618ccba, 0x2232c81c, - 0x761f82af, 0x2228283f, 0x7626368d, 0x221d8711, - 0x762ce855, 0x2212e492, 0x76339806, 0x220840c2, - 0x763a45a0, 0x21fd9ba3, 0x7640f123, 0x21f2f534, - 0x76479a8e, 0x21e84d76, 0x764e41e2, 0x21dda46a, - 0x7654e71d, 0x21d2fa0f, 0x765b8a41, 0x21c84e67, - 0x76622b4c, 0x21bda171, 0x7668ca3e, 0x21b2f32e, - 0x766f6717, 0x21a8439e, 0x767601d7, 0x219d92c2, - 0x767c9a7e, 0x2192e09b, 0x7683310b, 0x21882d28, - 0x7689c57d, 0x217d786a, 0x769057d6, 0x2172c262, - 0x7696e814, 0x21680b0f, 0x769d7637, 0x215d5273, - 0x76a4023f, 0x2152988d, 0x76aa8c2c, 0x2147dd5f, - 0x76b113fd, 0x213d20e8, 0x76b799b3, 0x21326329, - 0x76be1d4c, 0x2127a423, 0x76c49ec9, 0x211ce3d5, - 0x76cb1e2a, 0x21122240, 0x76d19b6e, 0x21075f65, - 0x76d81695, 0x20fc9b44, 0x76de8f9e, 0x20f1d5de, - 0x76e5068a, 0x20e70f32, 0x76eb7b58, 0x20dc4742, - 0x76f1ee09, 0x20d17e0d, 0x76f85e9a, 0x20c6b395, - 0x76fecd0e, 0x20bbe7d8, 0x77053962, 0x20b11ad9, - 0x770ba398, 0x20a64c97, 0x77120bae, 0x209b7d13, - 0x771871a5, 0x2090ac4d, 0x771ed57c, 0x2085da46, - 0x77253733, 0x207b06fe, 0x772b96ca, 0x20703275, - 0x7731f440, 0x20655cac, 0x77384f95, 0x205a85a3, - 0x773ea8ca, 0x204fad5b, 0x7744ffdd, 0x2044d3d4, - 0x774b54ce, 0x2039f90f, 0x7751a79e, 0x202f1d0b, - 0x7757f84c, 0x20243fca, 0x775e46d8, 0x2019614c, - 0x77649341, 0x200e8190, 0x776add88, 0x2003a099, - 0x777125ac, 0x1ff8be65, 0x77776bac, 0x1feddaf6, - 0x777daf89, 0x1fe2f64c, 0x7783f143, 0x1fd81067, - 0x778a30d8, 0x1fcd2948, 0x77906e49, 0x1fc240ef, - 0x7796a996, 0x1fb7575c, 0x779ce2be, 0x1fac6c91, - 0x77a319c2, 0x1fa1808c, 0x77a94ea0, 0x1f969350, - 0x77af8159, 0x1f8ba4dc, 0x77b5b1ec, 0x1f80b531, - 0x77bbe05a, 0x1f75c44e, 0x77c20ca1, 0x1f6ad235, - 0x77c836c2, 0x1f5fdee6, 0x77ce5ebd, 0x1f54ea62, - 0x77d48490, 0x1f49f4a8, 0x77daa83d, 0x1f3efdb9, - 0x77e0c9c3, 0x1f340596, 0x77e6e921, 0x1f290c3f, - 0x77ed0657, 0x1f1e11b5, 0x77f32165, 0x1f1315f7, - 0x77f93a4b, 0x1f081907, 0x77ff5109, 0x1efd1ae4, - 0x7805659e, 0x1ef21b90, 0x780b780a, 0x1ee71b0a, - 0x7811884d, 0x1edc1953, 0x78179666, 0x1ed1166b, - 0x781da256, 0x1ec61254, 0x7823ac1d, 0x1ebb0d0d, - 0x7829b3b9, 0x1eb00696, 0x782fb92a, 0x1ea4fef0, - 0x7835bc71, 0x1e99f61d, 0x783bbd8e, 0x1e8eec1b, - 0x7841bc7f, 0x1e83e0eb, 0x7847b946, 0x1e78d48e, - 0x784db3e0, 0x1e6dc705, 0x7853ac4f, 0x1e62b84f, - 0x7859a292, 0x1e57a86d, 0x785f96a9, 0x1e4c9760, - 0x78658894, 0x1e418528, 0x786b7852, 0x1e3671c5, - 0x787165e3, 0x1e2b5d38, 0x78775147, 0x1e204781, - 0x787d3a7e, 0x1e1530a1, 0x78832187, 0x1e0a1898, - 0x78890663, 0x1dfeff67, 0x788ee910, 0x1df3e50d, - 0x7894c98f, 0x1de8c98c, 0x789aa7e0, 0x1dddace4, - 0x78a08402, 0x1dd28f15, 0x78a65df6, 0x1dc7701f, - 0x78ac35ba, 0x1dbc5004, 0x78b20b4f, 0x1db12ec3, - 0x78b7deb4, 0x1da60c5d, 0x78bdafea, 0x1d9ae8d2, - 0x78c37eef, 0x1d8fc424, 0x78c94bc4, 0x1d849e51, - 0x78cf1669, 0x1d79775c, 0x78d4dedd, 0x1d6e4f43, - 0x78daa520, 0x1d632608, 0x78e06932, 0x1d57fbaa, - 0x78e62b13, 0x1d4cd02c, 0x78ebeac2, 0x1d41a38c, - 0x78f1a840, 0x1d3675cb, 0x78f7638b, 0x1d2b46ea, - 0x78fd1ca4, 0x1d2016e9, 0x7902d38b, 0x1d14e5c9, - 0x7908883f, 0x1d09b389, 0x790e3ac0, 0x1cfe802b, - 0x7913eb0e, 0x1cf34baf, 0x79199929, 0x1ce81615, - 0x791f4510, 0x1cdcdf5e, 0x7924eec3, 0x1cd1a78a, - 0x792a9642, 0x1cc66e99, 0x79303b8e, 0x1cbb348d, - 0x7935dea4, 0x1caff965, 0x793b7f86, 0x1ca4bd21, - 0x79411e33, 0x1c997fc4, 0x7946baac, 0x1c8e414b, - 0x794c54ee, 0x1c8301b9, 0x7951ecfc, 0x1c77c10e, - 0x795782d3, 0x1c6c7f4a, 0x795d1675, 0x1c613c6d, - 0x7962a7e0, 0x1c55f878, 0x79683715, 0x1c4ab36b, - 0x796dc414, 0x1c3f6d47, 0x79734edc, 0x1c34260c, - 0x7978d76c, 0x1c28ddbb, 0x797e5dc6, 0x1c1d9454, - 0x7983e1e8, 0x1c1249d8, 0x798963d2, 0x1c06fe46, - 0x798ee385, 0x1bfbb1a0, 0x799460ff, 0x1bf063e6, - 0x7999dc42, 0x1be51518, 0x799f554b, 0x1bd9c537, - 0x79a4cc1c, 0x1bce7442, 0x79aa40b4, 0x1bc3223c, - 0x79afb313, 0x1bb7cf23, 0x79b52339, 0x1bac7af9, - 0x79ba9125, 0x1ba125bd, 0x79bffcd7, 0x1b95cf71, - 0x79c5664f, 0x1b8a7815, 0x79cacd8d, 0x1b7f1fa9, - 0x79d03291, 0x1b73c62d, 0x79d5955a, 0x1b686ba3, - 0x79daf5e8, 0x1b5d100a, 0x79e0543c, 0x1b51b363, - 0x79e5b054, 0x1b4655ae, 0x79eb0a31, 0x1b3af6ec, - 0x79f061d2, 0x1b2f971e, 0x79f5b737, 0x1b243643, - 0x79fb0a60, 0x1b18d45c, 0x7a005b4d, 0x1b0d716a, - 0x7a05a9fd, 0x1b020d6c, 0x7a0af671, 0x1af6a865, - 0x7a1040a8, 0x1aeb4253, 0x7a1588a2, 0x1adfdb37, - 0x7a1ace5f, 0x1ad47312, 0x7a2011de, 0x1ac909e5, - 0x7a25531f, 0x1abd9faf, 0x7a2a9223, 0x1ab23471, - 0x7a2fcee8, 0x1aa6c82b, 0x7a350970, 0x1a9b5adf, - 0x7a3a41b9, 0x1a8fec8c, 0x7a3f77c3, 0x1a847d33, - 0x7a44ab8e, 0x1a790cd4, 0x7a49dd1a, 0x1a6d9b70, - 0x7a4f0c67, 0x1a622907, 0x7a543974, 0x1a56b599, - 0x7a596442, 0x1a4b4128, 0x7a5e8cd0, 0x1a3fcbb3, - 0x7a63b31d, 0x1a34553b, 0x7a68d72b, 0x1a28ddc0, - 0x7a6df8f8, 0x1a1d6544, 0x7a731884, 0x1a11ebc5, - 0x7a7835cf, 0x1a067145, 0x7a7d50da, 0x19faf5c5, - 0x7a8269a3, 0x19ef7944, 0x7a87802a, 0x19e3fbc3, - 0x7a8c9470, 0x19d87d42, 0x7a91a674, 0x19ccfdc2, - 0x7a96b636, 0x19c17d44, 0x7a9bc3b6, 0x19b5fbc8, - 0x7aa0cef3, 0x19aa794d, 0x7aa5d7ee, 0x199ef5d6, - 0x7aaadea6, 0x19937161, 0x7aafe31b, 0x1987ebf0, - 0x7ab4e54c, 0x197c6584, 0x7ab9e53a, 0x1970de1b, - 0x7abee2e5, 0x196555b8, 0x7ac3de4c, 0x1959cc5a, - 0x7ac8d76f, 0x194e4201, 0x7acdce4d, 0x1942b6af, - 0x7ad2c2e8, 0x19372a64, 0x7ad7b53d, 0x192b9d1f, - 0x7adca54e, 0x19200ee3, 0x7ae1931a, 0x19147fae, - 0x7ae67ea1, 0x1908ef82, 0x7aeb67e3, 0x18fd5e5f, - 0x7af04edf, 0x18f1cc45, 0x7af53395, 0x18e63935, - 0x7afa1605, 0x18daa52f, 0x7afef630, 0x18cf1034, - 0x7b03d414, 0x18c37a44, 0x7b08afb2, 0x18b7e35f, - 0x7b0d8909, 0x18ac4b87, 0x7b126019, 0x18a0b2bb, - 0x7b1734e2, 0x189518fc, 0x7b1c0764, 0x18897e4a, - 0x7b20d79e, 0x187de2a7, 0x7b25a591, 0x18724611, - 0x7b2a713d, 0x1866a88a, 0x7b2f3aa0, 0x185b0a13, - 0x7b3401bb, 0x184f6aab, 0x7b38c68e, 0x1843ca53, - 0x7b3d8918, 0x1838290c, 0x7b42495a, 0x182c86d5, - 0x7b470753, 0x1820e3b0, 0x7b4bc303, 0x18153f9d, - 0x7b507c69, 0x18099a9c, 0x7b553386, 0x17fdf4ae, - 0x7b59e85a, 0x17f24dd3, 0x7b5e9ae4, 0x17e6a60c, - 0x7b634b23, 0x17dafd59, 0x7b67f919, 0x17cf53bb, - 0x7b6ca4c4, 0x17c3a931, 0x7b714e25, 0x17b7fdbd, - 0x7b75f53c, 0x17ac515f, 0x7b7a9a07, 0x17a0a417, - 0x7b7f3c87, 0x1794f5e6, 0x7b83dcbc, 0x178946cc, - 0x7b887aa6, 0x177d96ca, 0x7b8d1644, 0x1771e5e0, - 0x7b91af97, 0x1766340f, 0x7b96469d, 0x175a8157, - 0x7b9adb57, 0x174ecdb8, 0x7b9f6dc5, 0x17431933, - 0x7ba3fde7, 0x173763c9, 0x7ba88bbc, 0x172bad7a, - 0x7bad1744, 0x171ff646, 0x7bb1a080, 0x17143e2d, - 0x7bb6276e, 0x17088531, 0x7bbaac0e, 0x16fccb51, - 0x7bbf2e62, 0x16f1108f, 0x7bc3ae67, 0x16e554ea, - 0x7bc82c1f, 0x16d99864, 0x7bcca789, 0x16cddafb, - 0x7bd120a4, 0x16c21cb2, 0x7bd59771, 0x16b65d88, - 0x7bda0bf0, 0x16aa9d7e, 0x7bde7e20, 0x169edc94, - 0x7be2ee01, 0x16931acb, 0x7be75b93, 0x16875823, - 0x7bebc6d5, 0x167b949d, 0x7bf02fc9, 0x166fd039, - 0x7bf4966c, 0x16640af7, 0x7bf8fac0, 0x165844d8, - 0x7bfd5cc4, 0x164c7ddd, 0x7c01bc78, 0x1640b606, - 0x7c0619dc, 0x1634ed53, 0x7c0a74f0, 0x162923c5, - 0x7c0ecdb2, 0x161d595d, 0x7c132424, 0x16118e1a, - 0x7c177845, 0x1605c1fd, 0x7c1bca16, 0x15f9f507, - 0x7c201994, 0x15ee2738, 0x7c2466c2, 0x15e25890, - 0x7c28b19e, 0x15d68911, 0x7c2cfa28, 0x15cab8ba, - 0x7c314060, 0x15bee78c, 0x7c358446, 0x15b31587, - 0x7c39c5da, 0x15a742ac, 0x7c3e051b, 0x159b6efb, - 0x7c42420a, 0x158f9a76, 0x7c467ca6, 0x1583c51b, - 0x7c4ab4ef, 0x1577eeec, 0x7c4eeae5, 0x156c17e9, - 0x7c531e88, 0x15604013, 0x7c574fd8, 0x1554676a, - 0x7c5b7ed4, 0x15488dee, 0x7c5fab7c, 0x153cb3a0, - 0x7c63d5d1, 0x1530d881, 0x7c67fdd1, 0x1524fc90, - 0x7c6c237e, 0x15191fcf, 0x7c7046d6, 0x150d423d, - 0x7c7467d9, 0x150163dc, 0x7c788688, 0x14f584ac, - 0x7c7ca2e2, 0x14e9a4ac, 0x7c80bce7, 0x14ddc3de, - 0x7c84d496, 0x14d1e242, 0x7c88e9f1, 0x14c5ffd9, - 0x7c8cfcf6, 0x14ba1ca3, 0x7c910da5, 0x14ae38a0, - 0x7c951bff, 0x14a253d1, 0x7c992803, 0x14966e36, - 0x7c9d31b0, 0x148a87d1, 0x7ca13908, 0x147ea0a0, - 0x7ca53e09, 0x1472b8a5, 0x7ca940b3, 0x1466cfe1, - 0x7cad4107, 0x145ae653, 0x7cb13f04, 0x144efbfc, - 0x7cb53aaa, 0x144310dd, 0x7cb933f9, 0x143724f5, - 0x7cbd2af0, 0x142b3846, 0x7cc11f90, 0x141f4ad1, - 0x7cc511d9, 0x14135c94, 0x7cc901c9, 0x14076d91, - 0x7cccef62, 0x13fb7dc9, 0x7cd0daa2, 0x13ef8d3c, - 0x7cd4c38b, 0x13e39be9, 0x7cd8aa1b, 0x13d7a9d3, - 0x7cdc8e52, 0x13cbb6f8, 0x7ce07031, 0x13bfc35b, - 0x7ce44fb7, 0x13b3cefa, 0x7ce82ce4, 0x13a7d9d7, - 0x7cec07b8, 0x139be3f2, 0x7cefe032, 0x138fed4b, - 0x7cf3b653, 0x1383f5e3, 0x7cf78a1b, 0x1377fdbb, - 0x7cfb5b89, 0x136c04d2, 0x7cff2a9d, 0x13600b2a, - 0x7d02f757, 0x135410c3, 0x7d06c1b6, 0x1348159d, - 0x7d0a89bc, 0x133c19b8, 0x7d0e4f67, 0x13301d16, - 0x7d1212b7, 0x13241fb6, 0x7d15d3ad, 0x1318219a, - 0x7d199248, 0x130c22c1, 0x7d1d4e88, 0x1300232c, - 0x7d21086c, 0x12f422db, 0x7d24bff6, 0x12e821cf, - 0x7d287523, 0x12dc2009, 0x7d2c27f6, 0x12d01d89, - 0x7d2fd86c, 0x12c41a4f, 0x7d338687, 0x12b8165b, - 0x7d373245, 0x12ac11af, 0x7d3adba7, 0x12a00c4b, - 0x7d3e82ae, 0x1294062f, 0x7d422757, 0x1287ff5b, - 0x7d45c9a4, 0x127bf7d1, 0x7d496994, 0x126fef90, - 0x7d4d0728, 0x1263e699, 0x7d50a25e, 0x1257dced, - 0x7d543b37, 0x124bd28c, 0x7d57d1b3, 0x123fc776, - 0x7d5b65d2, 0x1233bbac, 0x7d5ef793, 0x1227af2e, - 0x7d6286f6, 0x121ba1fd, 0x7d6613fb, 0x120f941a, - 0x7d699ea3, 0x12038584, 0x7d6d26ec, 0x11f7763c, - 0x7d70acd7, 0x11eb6643, 0x7d743064, 0x11df5599, - 0x7d77b192, 0x11d3443f, 0x7d7b3061, 0x11c73235, - 0x7d7eacd2, 0x11bb1f7c, 0x7d8226e4, 0x11af0c13, - 0x7d859e96, 0x11a2f7fc, 0x7d8913ea, 0x1196e337, - 0x7d8c86de, 0x118acdc4, 0x7d8ff772, 0x117eb7a4, - 0x7d9365a8, 0x1172a0d7, 0x7d96d17d, 0x1166895f, - 0x7d9a3af2, 0x115a713a, 0x7d9da208, 0x114e586a, - 0x7da106bd, 0x11423ef0, 0x7da46912, 0x113624cb, - 0x7da7c907, 0x112a09fc, 0x7dab269b, 0x111dee84, - 0x7dae81cf, 0x1111d263, 0x7db1daa2, 0x1105b599, - 0x7db53113, 0x10f99827, 0x7db88524, 0x10ed7a0e, - 0x7dbbd6d4, 0x10e15b4e, 0x7dbf2622, 0x10d53be7, - 0x7dc2730f, 0x10c91bda, 0x7dc5bd9b, 0x10bcfb28, - 0x7dc905c5, 0x10b0d9d0, 0x7dcc4b8d, 0x10a4b7d3, - 0x7dcf8ef3, 0x10989532, 0x7dd2cff7, 0x108c71ee, - 0x7dd60e99, 0x10804e06, 0x7dd94ad8, 0x1074297b, - 0x7ddc84b5, 0x1068044e, 0x7ddfbc30, 0x105bde7f, - 0x7de2f148, 0x104fb80e, 0x7de623fd, 0x104390fd, - 0x7de9544f, 0x1037694b, 0x7dec823e, 0x102b40f8, - 0x7defadca, 0x101f1807, 0x7df2d6f3, 0x1012ee76, - 0x7df5fdb8, 0x1006c446, 0x7df9221a, 0xffa9979, - 0x7dfc4418, 0xfee6e0d, 0x7dff63b2, 0xfe24205, - 0x7e0280e9, 0xfd6155f, 0x7e059bbb, 0xfc9e81e, - 0x7e08b42a, 0xfbdba40, 0x7e0bca34, 0xfb18bc8, - 0x7e0eddd9, 0xfa55cb4, 0x7e11ef1b, 0xf992d06, - 0x7e14fdf7, 0xf8cfcbe, 0x7e180a6f, 0xf80cbdc, - 0x7e1b1482, 0xf749a61, 0x7e1e1c30, 0xf68684e, - 0x7e212179, 0xf5c35a3, 0x7e24245d, 0xf500260, - 0x7e2724db, 0xf43ce86, 0x7e2a22f4, 0xf379a16, - 0x7e2d1ea8, 0xf2b650f, 0x7e3017f6, 0xf1f2f73, - 0x7e330ede, 0xf12f941, 0x7e360360, 0xf06c27a, - 0x7e38f57c, 0xefa8b20, 0x7e3be532, 0xeee5331, - 0x7e3ed282, 0xee21aaf, 0x7e41bd6c, 0xed5e19a, - 0x7e44a5ef, 0xec9a7f3, 0x7e478c0b, 0xebd6db9, - 0x7e4a6fc1, 0xeb132ef, 0x7e4d5110, 0xea4f793, - 0x7e502ff9, 0xe98bba7, 0x7e530c7a, 0xe8c7f2a, - 0x7e55e694, 0xe80421e, 0x7e58be47, 0xe740483, - 0x7e5b9392, 0xe67c65a, 0x7e5e6676, 0xe5b87a2, - 0x7e6136f3, 0xe4f485c, 0x7e640507, 0xe430889, - 0x7e66d0b4, 0xe36c82a, 0x7e6999fa, 0xe2a873e, - 0x7e6c60d7, 0xe1e45c6, 0x7e6f254c, 0xe1203c3, - 0x7e71e759, 0xe05c135, 0x7e74a6fd, 0xdf97e1d, - 0x7e77643a, 0xded3a7b, 0x7e7a1f0d, 0xde0f64f, - 0x7e7cd778, 0xdd4b19a, 0x7e7f8d7b, 0xdc86c5d, - 0x7e824114, 0xdbc2698, 0x7e84f245, 0xdafe04b, - 0x7e87a10c, 0xda39978, 0x7e8a4d6a, 0xd97521d, - 0x7e8cf75f, 0xd8b0a3d, 0x7e8f9eeb, 0xd7ec1d6, - 0x7e92440d, 0xd7278eb, 0x7e94e6c6, 0xd662f7b, - 0x7e978715, 0xd59e586, 0x7e9a24fb, 0xd4d9b0e, - 0x7e9cc076, 0xd415013, 0x7e9f5988, 0xd350495, - 0x7ea1f02f, 0xd28b894, 0x7ea4846c, 0xd1c6c11, - 0x7ea7163f, 0xd101f0e, 0x7ea9a5a8, 0xd03d189, - 0x7eac32a6, 0xcf78383, 0x7eaebd3a, 0xceb34fe, - 0x7eb14563, 0xcdee5f9, 0x7eb3cb21, 0xcd29676, - 0x7eb64e75, 0xcc64673, 0x7eb8cf5d, 0xcb9f5f3, - 0x7ebb4ddb, 0xcada4f5, 0x7ebdc9ed, 0xca1537a, - 0x7ec04394, 0xc950182, 0x7ec2bad0, 0xc88af0e, - 0x7ec52fa0, 0xc7c5c1e, 0x7ec7a205, 0xc7008b3, - 0x7eca11fe, 0xc63b4ce, 0x7ecc7f8b, 0xc57606e, - 0x7eceeaad, 0xc4b0b94, 0x7ed15363, 0xc3eb641, - 0x7ed3b9ad, 0xc326075, 0x7ed61d8a, 0xc260a31, - 0x7ed87efc, 0xc19b374, 0x7edade01, 0xc0d5c41, - 0x7edd3a9a, 0xc010496, 0x7edf94c7, 0xbf4ac75, - 0x7ee1ec87, 0xbe853de, 0x7ee441da, 0xbdbfad1, - 0x7ee694c1, 0xbcfa150, 0x7ee8e53a, 0xbc34759, - 0x7eeb3347, 0xbb6ecef, 0x7eed7ee7, 0xbaa9211, - 0x7eefc81a, 0xb9e36c0, 0x7ef20ee0, 0xb91dafc, - 0x7ef45338, 0xb857ec7, 0x7ef69523, 0xb79221f, - 0x7ef8d4a1, 0xb6cc506, 0x7efb11b1, 0xb60677c, - 0x7efd4c54, 0xb540982, 0x7eff8489, 0xb47ab19, - 0x7f01ba50, 0xb3b4c40, 0x7f03eda9, 0xb2eecf8, - 0x7f061e95, 0xb228d42, 0x7f084d12, 0xb162d1d, - 0x7f0a7921, 0xb09cc8c, 0x7f0ca2c2, 0xafd6b8d, - 0x7f0ec9f5, 0xaf10a22, 0x7f10eeb9, 0xae4a84b, - 0x7f13110f, 0xad84609, 0x7f1530f7, 0xacbe35b, - 0x7f174e70, 0xabf8043, 0x7f19697a, 0xab31cc1, - 0x7f1b8215, 0xaa6b8d5, 0x7f1d9842, 0xa9a5480, - 0x7f1fabff, 0xa8defc3, 0x7f21bd4e, 0xa818a9d, - 0x7f23cc2e, 0xa752510, 0x7f25d89e, 0xa68bf1b, - 0x7f27e29f, 0xa5c58c0, 0x7f29ea31, 0xa4ff1fe, - 0x7f2bef53, 0xa438ad7, 0x7f2df206, 0xa37234a, - 0x7f2ff24a, 0xa2abb59, 0x7f31f01d, 0xa1e5303, - 0x7f33eb81, 0xa11ea49, 0x7f35e476, 0xa05812c, - 0x7f37dafa, 0x9f917ac, 0x7f39cf0e, 0x9ecadc9, - 0x7f3bc0b3, 0x9e04385, 0x7f3dafe7, 0x9d3d8df, - 0x7f3f9cab, 0x9c76dd8, 0x7f4186ff, 0x9bb0271, - 0x7f436ee3, 0x9ae96aa, 0x7f455456, 0x9a22a83, - 0x7f473759, 0x995bdfd, 0x7f4917eb, 0x9895118, - 0x7f4af60d, 0x97ce3d5, 0x7f4cd1be, 0x9707635, - 0x7f4eaafe, 0x9640837, 0x7f5081cd, 0x95799dd, - 0x7f52562c, 0x94b2b27, 0x7f54281a, 0x93ebc14, - 0x7f55f796, 0x9324ca7, 0x7f57c4a2, 0x925dcdf, - 0x7f598f3c, 0x9196cbc, 0x7f5b5765, 0x90cfc40, - 0x7f5d1d1d, 0x9008b6a, 0x7f5ee063, 0x8f41a3c, - 0x7f60a138, 0x8e7a8b5, 0x7f625f9b, 0x8db36d6, - 0x7f641b8d, 0x8cec4a0, 0x7f65d50d, 0x8c25213, - 0x7f678c1c, 0x8b5df30, 0x7f6940b8, 0x8a96bf6, - 0x7f6af2e3, 0x89cf867, 0x7f6ca29c, 0x8908483, - 0x7f6e4fe3, 0x884104b, 0x7f6ffab8, 0x8779bbe, - 0x7f71a31b, 0x86b26de, 0x7f73490b, 0x85eb1ab, - 0x7f74ec8a, 0x8523c25, 0x7f768d96, 0x845c64d, - 0x7f782c30, 0x8395024, 0x7f79c857, 0x82cd9a9, - 0x7f7b620c, 0x82062de, 0x7f7cf94e, 0x813ebc2, - 0x7f7e8e1e, 0x8077457, 0x7f80207b, 0x7fafc9c, - 0x7f81b065, 0x7ee8493, 0x7f833ddd, 0x7e20c3b, - 0x7f84c8e2, 0x7d59396, 0x7f865174, 0x7c91aa3, - 0x7f87d792, 0x7bca163, 0x7f895b3e, 0x7b027d7, - 0x7f8adc77, 0x7a3adff, 0x7f8c5b3d, 0x79733dc, - 0x7f8dd78f, 0x78ab96e, 0x7f8f516e, 0x77e3eb5, - 0x7f90c8da, 0x771c3b3, 0x7f923dd2, 0x7654867, - 0x7f93b058, 0x758ccd2, 0x7f952069, 0x74c50f4, - 0x7f968e07, 0x73fd4cf, 0x7f97f932, 0x7335862, - 0x7f9961e8, 0x726dbae, 0x7f9ac82c, 0x71a5eb3, - 0x7f9c2bfb, 0x70de172, 0x7f9d8d56, 0x70163eb, - 0x7f9eec3e, 0x6f4e620, 0x7fa048b2, 0x6e86810, - 0x7fa1a2b2, 0x6dbe9bb, 0x7fa2fa3d, 0x6cf6b23, - 0x7fa44f55, 0x6c2ec48, 0x7fa5a1f9, 0x6b66d29, - 0x7fa6f228, 0x6a9edc9, 0x7fa83fe3, 0x69d6e27, - 0x7fa98b2a, 0x690ee44, 0x7faad3fd, 0x6846e1f, - 0x7fac1a5b, 0x677edbb, 0x7fad5e45, 0x66b6d16, - 0x7fae9fbb, 0x65eec33, 0x7fafdebb, 0x6526b10, - 0x7fb11b48, 0x645e9af, 0x7fb2555f, 0x6396810, - 0x7fb38d02, 0x62ce634, 0x7fb4c231, 0x620641a, - 0x7fb5f4ea, 0x613e1c5, 0x7fb7252f, 0x6075f33, - 0x7fb852ff, 0x5fadc66, 0x7fb97e5a, 0x5ee595d, - 0x7fbaa740, 0x5e1d61b, 0x7fbbcdb1, 0x5d5529e, - 0x7fbcf1ad, 0x5c8cee7, 0x7fbe1334, 0x5bc4af8, - 0x7fbf3246, 0x5afc6d0, 0x7fc04ee3, 0x5a3426f, - 0x7fc1690a, 0x596bdd7, 0x7fc280bc, 0x58a3908, - 0x7fc395f9, 0x57db403, 0x7fc4a8c1, 0x5712ec7, - 0x7fc5b913, 0x564a955, 0x7fc6c6f0, 0x55823ae, - 0x7fc7d258, 0x54b9dd3, 0x7fc8db4a, 0x53f17c3, - 0x7fc9e1c6, 0x532917f, 0x7fcae5cd, 0x5260b08, - 0x7fcbe75e, 0x519845e, 0x7fcce67a, 0x50cfd82, - 0x7fcde320, 0x5007674, 0x7fcedd50, 0x4f3ef35, - 0x7fcfd50b, 0x4e767c5, 0x7fd0ca4f, 0x4dae024, - 0x7fd1bd1e, 0x4ce5854, 0x7fd2ad77, 0x4c1d054, - 0x7fd39b5a, 0x4b54825, 0x7fd486c7, 0x4a8bfc7, - 0x7fd56fbe, 0x49c373c, 0x7fd6563f, 0x48fae83, - 0x7fd73a4a, 0x483259d, 0x7fd81bdf, 0x4769c8b, - 0x7fd8fafe, 0x46a134c, 0x7fd9d7a7, 0x45d89e2, - 0x7fdab1d9, 0x451004d, 0x7fdb8996, 0x444768d, - 0x7fdc5edc, 0x437eca4, 0x7fdd31ac, 0x42b6290, - 0x7fde0205, 0x41ed854, 0x7fdecfe8, 0x4124dee, - 0x7fdf9b55, 0x405c361, 0x7fe0644b, 0x3f938ac, - 0x7fe12acb, 0x3ecadcf, 0x7fe1eed5, 0x3e022cc, - 0x7fe2b067, 0x3d397a3, 0x7fe36f84, 0x3c70c54, - 0x7fe42c2a, 0x3ba80df, 0x7fe4e659, 0x3adf546, - 0x7fe59e12, 0x3a16988, 0x7fe65354, 0x394dda7, - 0x7fe7061f, 0x38851a2, 0x7fe7b674, 0x37bc57b, - 0x7fe86452, 0x36f3931, 0x7fe90fb9, 0x362acc5, - 0x7fe9b8a9, 0x3562038, 0x7fea5f23, 0x3499389, - 0x7feb0326, 0x33d06bb, 0x7feba4b2, 0x33079cc, - 0x7fec43c7, 0x323ecbe, 0x7fece065, 0x3175f91, - 0x7fed7a8c, 0x30ad245, 0x7fee123d, 0x2fe44dc, - 0x7feea776, 0x2f1b755, 0x7fef3a39, 0x2e529b0, - 0x7fefca84, 0x2d89bf0, 0x7ff05858, 0x2cc0e13, - 0x7ff0e3b6, 0x2bf801a, 0x7ff16c9c, 0x2b2f207, - 0x7ff1f30b, 0x2a663d8, 0x7ff27703, 0x299d590, - 0x7ff2f884, 0x28d472e, 0x7ff3778e, 0x280b8b3, - 0x7ff3f420, 0x2742a1f, 0x7ff46e3c, 0x2679b73, - 0x7ff4e5e0, 0x25b0caf, 0x7ff55b0d, 0x24e7dd4, - 0x7ff5cdc3, 0x241eee2, 0x7ff63e01, 0x2355fd9, - 0x7ff6abc8, 0x228d0bb, 0x7ff71718, 0x21c4188, - 0x7ff77ff1, 0x20fb240, 0x7ff7e652, 0x20322e3, - 0x7ff84a3c, 0x1f69373, 0x7ff8abae, 0x1ea03ef, - 0x7ff90aaa, 0x1dd7459, 0x7ff9672d, 0x1d0e4b0, - 0x7ff9c13a, 0x1c454f5, 0x7ffa18cf, 0x1b7c528, - 0x7ffa6dec, 0x1ab354b, 0x7ffac092, 0x19ea55d, - 0x7ffb10c1, 0x192155f, 0x7ffb5e78, 0x1858552, - 0x7ffba9b8, 0x178f536, 0x7ffbf280, 0x16c650b, - 0x7ffc38d1, 0x15fd4d2, 0x7ffc7caa, 0x153448c, - 0x7ffcbe0c, 0x146b438, 0x7ffcfcf6, 0x13a23d8, - 0x7ffd3969, 0x12d936c, 0x7ffd7364, 0x12102f4, - 0x7ffdaae7, 0x1147271, 0x7ffddff3, 0x107e1e3, - 0x7ffe1288, 0xfb514b, 0x7ffe42a4, 0xeec0aa, - 0x7ffe704a, 0xe22fff, 0x7ffe9b77, 0xd59f4c, - 0x7ffec42d, 0xc90e90, 0x7ffeea6c, 0xbc7dcc, - 0x7fff0e32, 0xafed02, 0x7fff2f82, 0xa35c30, - 0x7fff4e59, 0x96cb58, 0x7fff6ab9, 0x8a3a7b, - 0x7fff84a1, 0x7da998, 0x7fff9c12, 0x7118b0, - 0x7fffb10b, 0x6487c4, 0x7fffc38c, 0x57f6d4, - 0x7fffd396, 0x4b65e1, 0x7fffe128, 0x3ed4ea, - 0x7fffec43, 0x3243f1, 0x7ffff4e6, 0x25b2f7, - 0x7ffffb11, 0x1921fb, 0x7ffffec4, 0xc90fe, - 0x7fffffff, 0x0, 0x7ffffec4, 0xfff36f02, - 0x7ffffb11, 0xffe6de05, 0x7ffff4e6, 0xffda4d09, - 0x7fffec43, 0xffcdbc0f, 0x7fffe128, 0xffc12b16, - 0x7fffd396, 0xffb49a1f, 0x7fffc38c, 0xffa8092c, - 0x7fffb10b, 0xff9b783c, 0x7fff9c12, 0xff8ee750, - 0x7fff84a1, 0xff825668, 0x7fff6ab9, 0xff75c585, - 0x7fff4e59, 0xff6934a8, 0x7fff2f82, 0xff5ca3d0, - 0x7fff0e32, 0xff5012fe, 0x7ffeea6c, 0xff438234, - 0x7ffec42d, 0xff36f170, 0x7ffe9b77, 0xff2a60b4, - 0x7ffe704a, 0xff1dd001, 0x7ffe42a4, 0xff113f56, - 0x7ffe1288, 0xff04aeb5, 0x7ffddff3, 0xfef81e1d, - 0x7ffdaae7, 0xfeeb8d8f, 0x7ffd7364, 0xfedefd0c, - 0x7ffd3969, 0xfed26c94, 0x7ffcfcf6, 0xfec5dc28, - 0x7ffcbe0c, 0xfeb94bc8, 0x7ffc7caa, 0xfeacbb74, - 0x7ffc38d1, 0xfea02b2e, 0x7ffbf280, 0xfe939af5, - 0x7ffba9b8, 0xfe870aca, 0x7ffb5e78, 0xfe7a7aae, - 0x7ffb10c1, 0xfe6deaa1, 0x7ffac092, 0xfe615aa3, - 0x7ffa6dec, 0xfe54cab5, 0x7ffa18cf, 0xfe483ad8, - 0x7ff9c13a, 0xfe3bab0b, 0x7ff9672d, 0xfe2f1b50, - 0x7ff90aaa, 0xfe228ba7, 0x7ff8abae, 0xfe15fc11, - 0x7ff84a3c, 0xfe096c8d, 0x7ff7e652, 0xfdfcdd1d, - 0x7ff77ff1, 0xfdf04dc0, 0x7ff71718, 0xfde3be78, - 0x7ff6abc8, 0xfdd72f45, 0x7ff63e01, 0xfdcaa027, - 0x7ff5cdc3, 0xfdbe111e, 0x7ff55b0d, 0xfdb1822c, - 0x7ff4e5e0, 0xfda4f351, 0x7ff46e3c, 0xfd98648d, - 0x7ff3f420, 0xfd8bd5e1, 0x7ff3778e, 0xfd7f474d, - 0x7ff2f884, 0xfd72b8d2, 0x7ff27703, 0xfd662a70, - 0x7ff1f30b, 0xfd599c28, 0x7ff16c9c, 0xfd4d0df9, - 0x7ff0e3b6, 0xfd407fe6, 0x7ff05858, 0xfd33f1ed, - 0x7fefca84, 0xfd276410, 0x7fef3a39, 0xfd1ad650, - 0x7feea776, 0xfd0e48ab, 0x7fee123d, 0xfd01bb24, - 0x7fed7a8c, 0xfcf52dbb, 0x7fece065, 0xfce8a06f, - 0x7fec43c7, 0xfcdc1342, 0x7feba4b2, 0xfccf8634, - 0x7feb0326, 0xfcc2f945, 0x7fea5f23, 0xfcb66c77, - 0x7fe9b8a9, 0xfca9dfc8, 0x7fe90fb9, 0xfc9d533b, - 0x7fe86452, 0xfc90c6cf, 0x7fe7b674, 0xfc843a85, - 0x7fe7061f, 0xfc77ae5e, 0x7fe65354, 0xfc6b2259, - 0x7fe59e12, 0xfc5e9678, 0x7fe4e659, 0xfc520aba, - 0x7fe42c2a, 0xfc457f21, 0x7fe36f84, 0xfc38f3ac, - 0x7fe2b067, 0xfc2c685d, 0x7fe1eed5, 0xfc1fdd34, - 0x7fe12acb, 0xfc135231, 0x7fe0644b, 0xfc06c754, - 0x7fdf9b55, 0xfbfa3c9f, 0x7fdecfe8, 0xfbedb212, - 0x7fde0205, 0xfbe127ac, 0x7fdd31ac, 0xfbd49d70, - 0x7fdc5edc, 0xfbc8135c, 0x7fdb8996, 0xfbbb8973, - 0x7fdab1d9, 0xfbaeffb3, 0x7fd9d7a7, 0xfba2761e, - 0x7fd8fafe, 0xfb95ecb4, 0x7fd81bdf, 0xfb896375, - 0x7fd73a4a, 0xfb7cda63, 0x7fd6563f, 0xfb70517d, - 0x7fd56fbe, 0xfb63c8c4, 0x7fd486c7, 0xfb574039, - 0x7fd39b5a, 0xfb4ab7db, 0x7fd2ad77, 0xfb3e2fac, - 0x7fd1bd1e, 0xfb31a7ac, 0x7fd0ca4f, 0xfb251fdc, - 0x7fcfd50b, 0xfb18983b, 0x7fcedd50, 0xfb0c10cb, - 0x7fcde320, 0xfaff898c, 0x7fcce67a, 0xfaf3027e, - 0x7fcbe75e, 0xfae67ba2, 0x7fcae5cd, 0xfad9f4f8, - 0x7fc9e1c6, 0xfacd6e81, 0x7fc8db4a, 0xfac0e83d, - 0x7fc7d258, 0xfab4622d, 0x7fc6c6f0, 0xfaa7dc52, - 0x7fc5b913, 0xfa9b56ab, 0x7fc4a8c1, 0xfa8ed139, - 0x7fc395f9, 0xfa824bfd, 0x7fc280bc, 0xfa75c6f8, - 0x7fc1690a, 0xfa694229, 0x7fc04ee3, 0xfa5cbd91, - 0x7fbf3246, 0xfa503930, 0x7fbe1334, 0xfa43b508, - 0x7fbcf1ad, 0xfa373119, 0x7fbbcdb1, 0xfa2aad62, - 0x7fbaa740, 0xfa1e29e5, 0x7fb97e5a, 0xfa11a6a3, - 0x7fb852ff, 0xfa05239a, 0x7fb7252f, 0xf9f8a0cd, - 0x7fb5f4ea, 0xf9ec1e3b, 0x7fb4c231, 0xf9df9be6, - 0x7fb38d02, 0xf9d319cc, 0x7fb2555f, 0xf9c697f0, - 0x7fb11b48, 0xf9ba1651, 0x7fafdebb, 0xf9ad94f0, - 0x7fae9fbb, 0xf9a113cd, 0x7fad5e45, 0xf99492ea, - 0x7fac1a5b, 0xf9881245, 0x7faad3fd, 0xf97b91e1, - 0x7fa98b2a, 0xf96f11bc, 0x7fa83fe3, 0xf96291d9, - 0x7fa6f228, 0xf9561237, 0x7fa5a1f9, 0xf94992d7, - 0x7fa44f55, 0xf93d13b8, 0x7fa2fa3d, 0xf93094dd, - 0x7fa1a2b2, 0xf9241645, 0x7fa048b2, 0xf91797f0, - 0x7f9eec3e, 0xf90b19e0, 0x7f9d8d56, 0xf8fe9c15, - 0x7f9c2bfb, 0xf8f21e8e, 0x7f9ac82c, 0xf8e5a14d, - 0x7f9961e8, 0xf8d92452, 0x7f97f932, 0xf8cca79e, - 0x7f968e07, 0xf8c02b31, 0x7f952069, 0xf8b3af0c, - 0x7f93b058, 0xf8a7332e, 0x7f923dd2, 0xf89ab799, - 0x7f90c8da, 0xf88e3c4d, 0x7f8f516e, 0xf881c14b, - 0x7f8dd78f, 0xf8754692, 0x7f8c5b3d, 0xf868cc24, - 0x7f8adc77, 0xf85c5201, 0x7f895b3e, 0xf84fd829, - 0x7f87d792, 0xf8435e9d, 0x7f865174, 0xf836e55d, - 0x7f84c8e2, 0xf82a6c6a, 0x7f833ddd, 0xf81df3c5, - 0x7f81b065, 0xf8117b6d, 0x7f80207b, 0xf8050364, - 0x7f7e8e1e, 0xf7f88ba9, 0x7f7cf94e, 0xf7ec143e, - 0x7f7b620c, 0xf7df9d22, 0x7f79c857, 0xf7d32657, - 0x7f782c30, 0xf7c6afdc, 0x7f768d96, 0xf7ba39b3, - 0x7f74ec8a, 0xf7adc3db, 0x7f73490b, 0xf7a14e55, - 0x7f71a31b, 0xf794d922, 0x7f6ffab8, 0xf7886442, - 0x7f6e4fe3, 0xf77befb5, 0x7f6ca29c, 0xf76f7b7d, - 0x7f6af2e3, 0xf7630799, 0x7f6940b8, 0xf756940a, - 0x7f678c1c, 0xf74a20d0, 0x7f65d50d, 0xf73daded, - 0x7f641b8d, 0xf7313b60, 0x7f625f9b, 0xf724c92a, - 0x7f60a138, 0xf718574b, 0x7f5ee063, 0xf70be5c4, - 0x7f5d1d1d, 0xf6ff7496, 0x7f5b5765, 0xf6f303c0, - 0x7f598f3c, 0xf6e69344, 0x7f57c4a2, 0xf6da2321, - 0x7f55f796, 0xf6cdb359, 0x7f54281a, 0xf6c143ec, - 0x7f52562c, 0xf6b4d4d9, 0x7f5081cd, 0xf6a86623, - 0x7f4eaafe, 0xf69bf7c9, 0x7f4cd1be, 0xf68f89cb, - 0x7f4af60d, 0xf6831c2b, 0x7f4917eb, 0xf676aee8, - 0x7f473759, 0xf66a4203, 0x7f455456, 0xf65dd57d, - 0x7f436ee3, 0xf6516956, 0x7f4186ff, 0xf644fd8f, - 0x7f3f9cab, 0xf6389228, 0x7f3dafe7, 0xf62c2721, - 0x7f3bc0b3, 0xf61fbc7b, 0x7f39cf0e, 0xf6135237, - 0x7f37dafa, 0xf606e854, 0x7f35e476, 0xf5fa7ed4, - 0x7f33eb81, 0xf5ee15b7, 0x7f31f01d, 0xf5e1acfd, - 0x7f2ff24a, 0xf5d544a7, 0x7f2df206, 0xf5c8dcb6, - 0x7f2bef53, 0xf5bc7529, 0x7f29ea31, 0xf5b00e02, - 0x7f27e29f, 0xf5a3a740, 0x7f25d89e, 0xf59740e5, - 0x7f23cc2e, 0xf58adaf0, 0x7f21bd4e, 0xf57e7563, - 0x7f1fabff, 0xf572103d, 0x7f1d9842, 0xf565ab80, - 0x7f1b8215, 0xf559472b, 0x7f19697a, 0xf54ce33f, - 0x7f174e70, 0xf5407fbd, 0x7f1530f7, 0xf5341ca5, - 0x7f13110f, 0xf527b9f7, 0x7f10eeb9, 0xf51b57b5, - 0x7f0ec9f5, 0xf50ef5de, 0x7f0ca2c2, 0xf5029473, - 0x7f0a7921, 0xf4f63374, 0x7f084d12, 0xf4e9d2e3, - 0x7f061e95, 0xf4dd72be, 0x7f03eda9, 0xf4d11308, - 0x7f01ba50, 0xf4c4b3c0, 0x7eff8489, 0xf4b854e7, - 0x7efd4c54, 0xf4abf67e, 0x7efb11b1, 0xf49f9884, - 0x7ef8d4a1, 0xf4933afa, 0x7ef69523, 0xf486dde1, - 0x7ef45338, 0xf47a8139, 0x7ef20ee0, 0xf46e2504, - 0x7eefc81a, 0xf461c940, 0x7eed7ee7, 0xf4556def, - 0x7eeb3347, 0xf4491311, 0x7ee8e53a, 0xf43cb8a7, - 0x7ee694c1, 0xf4305eb0, 0x7ee441da, 0xf424052f, - 0x7ee1ec87, 0xf417ac22, 0x7edf94c7, 0xf40b538b, - 0x7edd3a9a, 0xf3fefb6a, 0x7edade01, 0xf3f2a3bf, - 0x7ed87efc, 0xf3e64c8c, 0x7ed61d8a, 0xf3d9f5cf, - 0x7ed3b9ad, 0xf3cd9f8b, 0x7ed15363, 0xf3c149bf, - 0x7eceeaad, 0xf3b4f46c, 0x7ecc7f8b, 0xf3a89f92, - 0x7eca11fe, 0xf39c4b32, 0x7ec7a205, 0xf38ff74d, - 0x7ec52fa0, 0xf383a3e2, 0x7ec2bad0, 0xf37750f2, - 0x7ec04394, 0xf36afe7e, 0x7ebdc9ed, 0xf35eac86, - 0x7ebb4ddb, 0xf3525b0b, 0x7eb8cf5d, 0xf3460a0d, - 0x7eb64e75, 0xf339b98d, 0x7eb3cb21, 0xf32d698a, - 0x7eb14563, 0xf3211a07, 0x7eaebd3a, 0xf314cb02, - 0x7eac32a6, 0xf3087c7d, 0x7ea9a5a8, 0xf2fc2e77, - 0x7ea7163f, 0xf2efe0f2, 0x7ea4846c, 0xf2e393ef, - 0x7ea1f02f, 0xf2d7476c, 0x7e9f5988, 0xf2cafb6b, - 0x7e9cc076, 0xf2beafed, 0x7e9a24fb, 0xf2b264f2, - 0x7e978715, 0xf2a61a7a, 0x7e94e6c6, 0xf299d085, - 0x7e92440d, 0xf28d8715, 0x7e8f9eeb, 0xf2813e2a, - 0x7e8cf75f, 0xf274f5c3, 0x7e8a4d6a, 0xf268ade3, - 0x7e87a10c, 0xf25c6688, 0x7e84f245, 0xf2501fb5, - 0x7e824114, 0xf243d968, 0x7e7f8d7b, 0xf23793a3, - 0x7e7cd778, 0xf22b4e66, 0x7e7a1f0d, 0xf21f09b1, - 0x7e77643a, 0xf212c585, 0x7e74a6fd, 0xf20681e3, - 0x7e71e759, 0xf1fa3ecb, 0x7e6f254c, 0xf1edfc3d, - 0x7e6c60d7, 0xf1e1ba3a, 0x7e6999fa, 0xf1d578c2, - 0x7e66d0b4, 0xf1c937d6, 0x7e640507, 0xf1bcf777, - 0x7e6136f3, 0xf1b0b7a4, 0x7e5e6676, 0xf1a4785e, - 0x7e5b9392, 0xf19839a6, 0x7e58be47, 0xf18bfb7d, - 0x7e55e694, 0xf17fbde2, 0x7e530c7a, 0xf17380d6, - 0x7e502ff9, 0xf1674459, 0x7e4d5110, 0xf15b086d, - 0x7e4a6fc1, 0xf14ecd11, 0x7e478c0b, 0xf1429247, - 0x7e44a5ef, 0xf136580d, 0x7e41bd6c, 0xf12a1e66, - 0x7e3ed282, 0xf11de551, 0x7e3be532, 0xf111accf, - 0x7e38f57c, 0xf10574e0, 0x7e360360, 0xf0f93d86, - 0x7e330ede, 0xf0ed06bf, 0x7e3017f6, 0xf0e0d08d, - 0x7e2d1ea8, 0xf0d49af1, 0x7e2a22f4, 0xf0c865ea, - 0x7e2724db, 0xf0bc317a, 0x7e24245d, 0xf0affda0, - 0x7e212179, 0xf0a3ca5d, 0x7e1e1c30, 0xf09797b2, - 0x7e1b1482, 0xf08b659f, 0x7e180a6f, 0xf07f3424, - 0x7e14fdf7, 0xf0730342, 0x7e11ef1b, 0xf066d2fa, - 0x7e0eddd9, 0xf05aa34c, 0x7e0bca34, 0xf04e7438, - 0x7e08b42a, 0xf04245c0, 0x7e059bbb, 0xf03617e2, - 0x7e0280e9, 0xf029eaa1, 0x7dff63b2, 0xf01dbdfb, - 0x7dfc4418, 0xf01191f3, 0x7df9221a, 0xf0056687, - 0x7df5fdb8, 0xeff93bba, 0x7df2d6f3, 0xefed118a, - 0x7defadca, 0xefe0e7f9, 0x7dec823e, 0xefd4bf08, - 0x7de9544f, 0xefc896b5, 0x7de623fd, 0xefbc6f03, - 0x7de2f148, 0xefb047f2, 0x7ddfbc30, 0xefa42181, - 0x7ddc84b5, 0xef97fbb2, 0x7dd94ad8, 0xef8bd685, - 0x7dd60e99, 0xef7fb1fa, 0x7dd2cff7, 0xef738e12, - 0x7dcf8ef3, 0xef676ace, 0x7dcc4b8d, 0xef5b482d, - 0x7dc905c5, 0xef4f2630, 0x7dc5bd9b, 0xef4304d8, - 0x7dc2730f, 0xef36e426, 0x7dbf2622, 0xef2ac419, - 0x7dbbd6d4, 0xef1ea4b2, 0x7db88524, 0xef1285f2, - 0x7db53113, 0xef0667d9, 0x7db1daa2, 0xeefa4a67, - 0x7dae81cf, 0xeeee2d9d, 0x7dab269b, 0xeee2117c, - 0x7da7c907, 0xeed5f604, 0x7da46912, 0xeec9db35, - 0x7da106bd, 0xeebdc110, 0x7d9da208, 0xeeb1a796, - 0x7d9a3af2, 0xeea58ec6, 0x7d96d17d, 0xee9976a1, - 0x7d9365a8, 0xee8d5f29, 0x7d8ff772, 0xee81485c, - 0x7d8c86de, 0xee75323c, 0x7d8913ea, 0xee691cc9, - 0x7d859e96, 0xee5d0804, 0x7d8226e4, 0xee50f3ed, - 0x7d7eacd2, 0xee44e084, 0x7d7b3061, 0xee38cdcb, - 0x7d77b192, 0xee2cbbc1, 0x7d743064, 0xee20aa67, - 0x7d70acd7, 0xee1499bd, 0x7d6d26ec, 0xee0889c4, - 0x7d699ea3, 0xedfc7a7c, 0x7d6613fb, 0xedf06be6, - 0x7d6286f6, 0xede45e03, 0x7d5ef793, 0xedd850d2, - 0x7d5b65d2, 0xedcc4454, 0x7d57d1b3, 0xedc0388a, - 0x7d543b37, 0xedb42d74, 0x7d50a25e, 0xeda82313, - 0x7d4d0728, 0xed9c1967, 0x7d496994, 0xed901070, - 0x7d45c9a4, 0xed84082f, 0x7d422757, 0xed7800a5, - 0x7d3e82ae, 0xed6bf9d1, 0x7d3adba7, 0xed5ff3b5, - 0x7d373245, 0xed53ee51, 0x7d338687, 0xed47e9a5, - 0x7d2fd86c, 0xed3be5b1, 0x7d2c27f6, 0xed2fe277, - 0x7d287523, 0xed23dff7, 0x7d24bff6, 0xed17de31, - 0x7d21086c, 0xed0bdd25, 0x7d1d4e88, 0xecffdcd4, - 0x7d199248, 0xecf3dd3f, 0x7d15d3ad, 0xece7de66, - 0x7d1212b7, 0xecdbe04a, 0x7d0e4f67, 0xeccfe2ea, - 0x7d0a89bc, 0xecc3e648, 0x7d06c1b6, 0xecb7ea63, - 0x7d02f757, 0xecabef3d, 0x7cff2a9d, 0xec9ff4d6, - 0x7cfb5b89, 0xec93fb2e, 0x7cf78a1b, 0xec880245, - 0x7cf3b653, 0xec7c0a1d, 0x7cefe032, 0xec7012b5, - 0x7cec07b8, 0xec641c0e, 0x7ce82ce4, 0xec582629, - 0x7ce44fb7, 0xec4c3106, 0x7ce07031, 0xec403ca5, - 0x7cdc8e52, 0xec344908, 0x7cd8aa1b, 0xec28562d, - 0x7cd4c38b, 0xec1c6417, 0x7cd0daa2, 0xec1072c4, - 0x7cccef62, 0xec048237, 0x7cc901c9, 0xebf8926f, - 0x7cc511d9, 0xebeca36c, 0x7cc11f90, 0xebe0b52f, - 0x7cbd2af0, 0xebd4c7ba, 0x7cb933f9, 0xebc8db0b, - 0x7cb53aaa, 0xebbcef23, 0x7cb13f04, 0xebb10404, - 0x7cad4107, 0xeba519ad, 0x7ca940b3, 0xeb99301f, - 0x7ca53e09, 0xeb8d475b, 0x7ca13908, 0xeb815f60, - 0x7c9d31b0, 0xeb75782f, 0x7c992803, 0xeb6991ca, - 0x7c951bff, 0xeb5dac2f, 0x7c910da5, 0xeb51c760, - 0x7c8cfcf6, 0xeb45e35d, 0x7c88e9f1, 0xeb3a0027, - 0x7c84d496, 0xeb2e1dbe, 0x7c80bce7, 0xeb223c22, - 0x7c7ca2e2, 0xeb165b54, 0x7c788688, 0xeb0a7b54, - 0x7c7467d9, 0xeafe9c24, 0x7c7046d6, 0xeaf2bdc3, - 0x7c6c237e, 0xeae6e031, 0x7c67fdd1, 0xeadb0370, - 0x7c63d5d1, 0xeacf277f, 0x7c5fab7c, 0xeac34c60, - 0x7c5b7ed4, 0xeab77212, 0x7c574fd8, 0xeaab9896, - 0x7c531e88, 0xea9fbfed, 0x7c4eeae5, 0xea93e817, - 0x7c4ab4ef, 0xea881114, 0x7c467ca6, 0xea7c3ae5, - 0x7c42420a, 0xea70658a, 0x7c3e051b, 0xea649105, - 0x7c39c5da, 0xea58bd54, 0x7c358446, 0xea4cea79, - 0x7c314060, 0xea411874, 0x7c2cfa28, 0xea354746, - 0x7c28b19e, 0xea2976ef, 0x7c2466c2, 0xea1da770, - 0x7c201994, 0xea11d8c8, 0x7c1bca16, 0xea060af9, - 0x7c177845, 0xe9fa3e03, 0x7c132424, 0xe9ee71e6, - 0x7c0ecdb2, 0xe9e2a6a3, 0x7c0a74f0, 0xe9d6dc3b, - 0x7c0619dc, 0xe9cb12ad, 0x7c01bc78, 0xe9bf49fa, - 0x7bfd5cc4, 0xe9b38223, 0x7bf8fac0, 0xe9a7bb28, - 0x7bf4966c, 0xe99bf509, 0x7bf02fc9, 0xe9902fc7, - 0x7bebc6d5, 0xe9846b63, 0x7be75b93, 0xe978a7dd, - 0x7be2ee01, 0xe96ce535, 0x7bde7e20, 0xe961236c, - 0x7bda0bf0, 0xe9556282, 0x7bd59771, 0xe949a278, - 0x7bd120a4, 0xe93de34e, 0x7bcca789, 0xe9322505, - 0x7bc82c1f, 0xe926679c, 0x7bc3ae67, 0xe91aab16, - 0x7bbf2e62, 0xe90eef71, 0x7bbaac0e, 0xe90334af, - 0x7bb6276e, 0xe8f77acf, 0x7bb1a080, 0xe8ebc1d3, - 0x7bad1744, 0xe8e009ba, 0x7ba88bbc, 0xe8d45286, - 0x7ba3fde7, 0xe8c89c37, 0x7b9f6dc5, 0xe8bce6cd, - 0x7b9adb57, 0xe8b13248, 0x7b96469d, 0xe8a57ea9, - 0x7b91af97, 0xe899cbf1, 0x7b8d1644, 0xe88e1a20, - 0x7b887aa6, 0xe8826936, 0x7b83dcbc, 0xe876b934, - 0x7b7f3c87, 0xe86b0a1a, 0x7b7a9a07, 0xe85f5be9, - 0x7b75f53c, 0xe853aea1, 0x7b714e25, 0xe8480243, - 0x7b6ca4c4, 0xe83c56cf, 0x7b67f919, 0xe830ac45, - 0x7b634b23, 0xe82502a7, 0x7b5e9ae4, 0xe81959f4, - 0x7b59e85a, 0xe80db22d, 0x7b553386, 0xe8020b52, - 0x7b507c69, 0xe7f66564, 0x7b4bc303, 0xe7eac063, - 0x7b470753, 0xe7df1c50, 0x7b42495a, 0xe7d3792b, - 0x7b3d8918, 0xe7c7d6f4, 0x7b38c68e, 0xe7bc35ad, - 0x7b3401bb, 0xe7b09555, 0x7b2f3aa0, 0xe7a4f5ed, - 0x7b2a713d, 0xe7995776, 0x7b25a591, 0xe78db9ef, - 0x7b20d79e, 0xe7821d59, 0x7b1c0764, 0xe77681b6, - 0x7b1734e2, 0xe76ae704, 0x7b126019, 0xe75f4d45, - 0x7b0d8909, 0xe753b479, 0x7b08afb2, 0xe7481ca1, - 0x7b03d414, 0xe73c85bc, 0x7afef630, 0xe730efcc, - 0x7afa1605, 0xe7255ad1, 0x7af53395, 0xe719c6cb, - 0x7af04edf, 0xe70e33bb, 0x7aeb67e3, 0xe702a1a1, - 0x7ae67ea1, 0xe6f7107e, 0x7ae1931a, 0xe6eb8052, - 0x7adca54e, 0xe6dff11d, 0x7ad7b53d, 0xe6d462e1, - 0x7ad2c2e8, 0xe6c8d59c, 0x7acdce4d, 0xe6bd4951, - 0x7ac8d76f, 0xe6b1bdff, 0x7ac3de4c, 0xe6a633a6, - 0x7abee2e5, 0xe69aaa48, 0x7ab9e53a, 0xe68f21e5, - 0x7ab4e54c, 0xe6839a7c, 0x7aafe31b, 0xe6781410, - 0x7aaadea6, 0xe66c8e9f, 0x7aa5d7ee, 0xe6610a2a, - 0x7aa0cef3, 0xe65586b3, 0x7a9bc3b6, 0xe64a0438, - 0x7a96b636, 0xe63e82bc, 0x7a91a674, 0xe633023e, - 0x7a8c9470, 0xe62782be, 0x7a87802a, 0xe61c043d, - 0x7a8269a3, 0xe61086bc, 0x7a7d50da, 0xe6050a3b, - 0x7a7835cf, 0xe5f98ebb, 0x7a731884, 0xe5ee143b, - 0x7a6df8f8, 0xe5e29abc, 0x7a68d72b, 0xe5d72240, - 0x7a63b31d, 0xe5cbaac5, 0x7a5e8cd0, 0xe5c0344d, - 0x7a596442, 0xe5b4bed8, 0x7a543974, 0xe5a94a67, - 0x7a4f0c67, 0xe59dd6f9, 0x7a49dd1a, 0xe5926490, - 0x7a44ab8e, 0xe586f32c, 0x7a3f77c3, 0xe57b82cd, - 0x7a3a41b9, 0xe5701374, 0x7a350970, 0xe564a521, - 0x7a2fcee8, 0xe55937d5, 0x7a2a9223, 0xe54dcb8f, - 0x7a25531f, 0xe5426051, 0x7a2011de, 0xe536f61b, - 0x7a1ace5f, 0xe52b8cee, 0x7a1588a2, 0xe52024c9, - 0x7a1040a8, 0xe514bdad, 0x7a0af671, 0xe509579b, - 0x7a05a9fd, 0xe4fdf294, 0x7a005b4d, 0xe4f28e96, - 0x79fb0a60, 0xe4e72ba4, 0x79f5b737, 0xe4dbc9bd, - 0x79f061d2, 0xe4d068e2, 0x79eb0a31, 0xe4c50914, - 0x79e5b054, 0xe4b9aa52, 0x79e0543c, 0xe4ae4c9d, - 0x79daf5e8, 0xe4a2eff6, 0x79d5955a, 0xe497945d, - 0x79d03291, 0xe48c39d3, 0x79cacd8d, 0xe480e057, - 0x79c5664f, 0xe47587eb, 0x79bffcd7, 0xe46a308f, - 0x79ba9125, 0xe45eda43, 0x79b52339, 0xe4538507, - 0x79afb313, 0xe44830dd, 0x79aa40b4, 0xe43cddc4, - 0x79a4cc1c, 0xe4318bbe, 0x799f554b, 0xe4263ac9, - 0x7999dc42, 0xe41aeae8, 0x799460ff, 0xe40f9c1a, - 0x798ee385, 0xe4044e60, 0x798963d2, 0xe3f901ba, - 0x7983e1e8, 0xe3edb628, 0x797e5dc6, 0xe3e26bac, - 0x7978d76c, 0xe3d72245, 0x79734edc, 0xe3cbd9f4, - 0x796dc414, 0xe3c092b9, 0x79683715, 0xe3b54c95, - 0x7962a7e0, 0xe3aa0788, 0x795d1675, 0xe39ec393, - 0x795782d3, 0xe39380b6, 0x7951ecfc, 0xe3883ef2, - 0x794c54ee, 0xe37cfe47, 0x7946baac, 0xe371beb5, - 0x79411e33, 0xe366803c, 0x793b7f86, 0xe35b42df, - 0x7935dea4, 0xe350069b, 0x79303b8e, 0xe344cb73, - 0x792a9642, 0xe3399167, 0x7924eec3, 0xe32e5876, - 0x791f4510, 0xe32320a2, 0x79199929, 0xe317e9eb, - 0x7913eb0e, 0xe30cb451, 0x790e3ac0, 0xe3017fd5, - 0x7908883f, 0xe2f64c77, 0x7902d38b, 0xe2eb1a37, - 0x78fd1ca4, 0xe2dfe917, 0x78f7638b, 0xe2d4b916, - 0x78f1a840, 0xe2c98a35, 0x78ebeac2, 0xe2be5c74, - 0x78e62b13, 0xe2b32fd4, 0x78e06932, 0xe2a80456, - 0x78daa520, 0xe29cd9f8, 0x78d4dedd, 0xe291b0bd, - 0x78cf1669, 0xe28688a4, 0x78c94bc4, 0xe27b61af, - 0x78c37eef, 0xe2703bdc, 0x78bdafea, 0xe265172e, - 0x78b7deb4, 0xe259f3a3, 0x78b20b4f, 0xe24ed13d, - 0x78ac35ba, 0xe243affc, 0x78a65df6, 0xe2388fe1, - 0x78a08402, 0xe22d70eb, 0x789aa7e0, 0xe222531c, - 0x7894c98f, 0xe2173674, 0x788ee910, 0xe20c1af3, - 0x78890663, 0xe2010099, 0x78832187, 0xe1f5e768, - 0x787d3a7e, 0xe1eacf5f, 0x78775147, 0xe1dfb87f, - 0x787165e3, 0xe1d4a2c8, 0x786b7852, 0xe1c98e3b, - 0x78658894, 0xe1be7ad8, 0x785f96a9, 0xe1b368a0, - 0x7859a292, 0xe1a85793, 0x7853ac4f, 0xe19d47b1, - 0x784db3e0, 0xe19238fb, 0x7847b946, 0xe1872b72, - 0x7841bc7f, 0xe17c1f15, 0x783bbd8e, 0xe17113e5, - 0x7835bc71, 0xe16609e3, 0x782fb92a, 0xe15b0110, - 0x7829b3b9, 0xe14ff96a, 0x7823ac1d, 0xe144f2f3, - 0x781da256, 0xe139edac, 0x78179666, 0xe12ee995, - 0x7811884d, 0xe123e6ad, 0x780b780a, 0xe118e4f6, - 0x7805659e, 0xe10de470, 0x77ff5109, 0xe102e51c, - 0x77f93a4b, 0xe0f7e6f9, 0x77f32165, 0xe0ecea09, - 0x77ed0657, 0xe0e1ee4b, 0x77e6e921, 0xe0d6f3c1, - 0x77e0c9c3, 0xe0cbfa6a, 0x77daa83d, 0xe0c10247, - 0x77d48490, 0xe0b60b58, 0x77ce5ebd, 0xe0ab159e, - 0x77c836c2, 0xe0a0211a, 0x77c20ca1, 0xe0952dcb, - 0x77bbe05a, 0xe08a3bb2, 0x77b5b1ec, 0xe07f4acf, - 0x77af8159, 0xe0745b24, 0x77a94ea0, 0xe0696cb0, - 0x77a319c2, 0xe05e7f74, 0x779ce2be, 0xe053936f, - 0x7796a996, 0xe048a8a4, 0x77906e49, 0xe03dbf11, - 0x778a30d8, 0xe032d6b8, 0x7783f143, 0xe027ef99, - 0x777daf89, 0xe01d09b4, 0x77776bac, 0xe012250a, - 0x777125ac, 0xe007419b, 0x776add88, 0xdffc5f67, - 0x77649341, 0xdff17e70, 0x775e46d8, 0xdfe69eb4, - 0x7757f84c, 0xdfdbc036, 0x7751a79e, 0xdfd0e2f5, - 0x774b54ce, 0xdfc606f1, 0x7744ffdd, 0xdfbb2c2c, - 0x773ea8ca, 0xdfb052a5, 0x77384f95, 0xdfa57a5d, - 0x7731f440, 0xdf9aa354, 0x772b96ca, 0xdf8fcd8b, - 0x77253733, 0xdf84f902, 0x771ed57c, 0xdf7a25ba, - 0x771871a5, 0xdf6f53b3, 0x77120bae, 0xdf6482ed, - 0x770ba398, 0xdf59b369, 0x77053962, 0xdf4ee527, - 0x76fecd0e, 0xdf441828, 0x76f85e9a, 0xdf394c6b, - 0x76f1ee09, 0xdf2e81f3, 0x76eb7b58, 0xdf23b8be, - 0x76e5068a, 0xdf18f0ce, 0x76de8f9e, 0xdf0e2a22, - 0x76d81695, 0xdf0364bc, 0x76d19b6e, 0xdef8a09b, - 0x76cb1e2a, 0xdeedddc0, 0x76c49ec9, 0xdee31c2b, - 0x76be1d4c, 0xded85bdd, 0x76b799b3, 0xdecd9cd7, - 0x76b113fd, 0xdec2df18, 0x76aa8c2c, 0xdeb822a1, - 0x76a4023f, 0xdead6773, 0x769d7637, 0xdea2ad8d, - 0x7696e814, 0xde97f4f1, 0x769057d6, 0xde8d3d9e, - 0x7689c57d, 0xde828796, 0x7683310b, 0xde77d2d8, - 0x767c9a7e, 0xde6d1f65, 0x767601d7, 0xde626d3e, - 0x766f6717, 0xde57bc62, 0x7668ca3e, 0xde4d0cd2, - 0x76622b4c, 0xde425e8f, 0x765b8a41, 0xde37b199, - 0x7654e71d, 0xde2d05f1, 0x764e41e2, 0xde225b96, - 0x76479a8e, 0xde17b28a, 0x7640f123, 0xde0d0acc, - 0x763a45a0, 0xde02645d, 0x76339806, 0xddf7bf3e, - 0x762ce855, 0xdded1b6e, 0x7626368d, 0xdde278ef, - 0x761f82af, 0xddd7d7c1, 0x7618ccba, 0xddcd37e4, - 0x761214b0, 0xddc29958, 0x760b5a90, 0xddb7fc1e, - 0x76049e5b, 0xddad6036, 0x75fde011, 0xdda2c5a2, - 0x75f71fb1, 0xdd982c60, 0x75f05d3d, 0xdd8d9472, - 0x75e998b5, 0xdd82fdd8, 0x75e2d219, 0xdd786892, - 0x75dc0968, 0xdd6dd4a2, 0x75d53ea5, 0xdd634206, - 0x75ce71ce, 0xdd58b0c0, 0x75c7a2e3, 0xdd4e20d0, - 0x75c0d1e7, 0xdd439236, 0x75b9fed7, 0xdd3904f4, - 0x75b329b5, 0xdd2e7908, 0x75ac5282, 0xdd23ee74, - 0x75a5793c, 0xdd196538, 0x759e9de5, 0xdd0edd55, - 0x7597c07d, 0xdd0456ca, 0x7590e104, 0xdcf9d199, - 0x7589ff7a, 0xdcef4dc2, 0x75831be0, 0xdce4cb44, - 0x757c3636, 0xdcda4a21, 0x75754e7c, 0xdccfca59, - 0x756e64b2, 0xdcc54bec, 0x756778d9, 0xdcbacedb, - 0x75608af1, 0xdcb05326, 0x75599afa, 0xdca5d8cd, - 0x7552a8f4, 0xdc9b5fd2, 0x754bb4e1, 0xdc90e834, - 0x7544bebf, 0xdc8671f3, 0x753dc68f, 0xdc7bfd11, - 0x7536cc52, 0xdc71898d, 0x752fd008, 0xdc671768, - 0x7528d1b1, 0xdc5ca6a2, 0x7521d14d, 0xdc52373c, - 0x751acedd, 0xdc47c936, 0x7513ca60, 0xdc3d5c91, - 0x750cc3d8, 0xdc32f14d, 0x7505bb44, 0xdc28876a, - 0x74feb0a5, 0xdc1e1ee9, 0x74f7a3fb, 0xdc13b7c9, - 0x74f09546, 0xdc09520d, 0x74e98487, 0xdbfeedb3, - 0x74e271bd, 0xdbf48abd, 0x74db5cea, 0xdbea292b, - 0x74d4460c, 0xdbdfc8fc, 0x74cd2d26, 0xdbd56a32, - 0x74c61236, 0xdbcb0cce, 0x74bef53d, 0xdbc0b0ce, - 0x74b7d63c, 0xdbb65634, 0x74b0b533, 0xdbabfd01, - 0x74a99221, 0xdba1a534, 0x74a26d08, 0xdb974ece, - 0x749b45e7, 0xdb8cf9cf, 0x74941cbf, 0xdb82a638, - 0x748cf190, 0xdb785409, 0x7485c45b, 0xdb6e0342, - 0x747e951f, 0xdb63b3e5, 0x747763dd, 0xdb5965f1, - 0x74703095, 0xdb4f1967, 0x7468fb47, 0xdb44ce46, - 0x7461c3f5, 0xdb3a8491, 0x745a8a9d, 0xdb303c46, - 0x74534f41, 0xdb25f566, 0x744c11e0, 0xdb1baff2, - 0x7444d27b, 0xdb116beb, 0x743d9112, 0xdb072950, - 0x74364da6, 0xdafce821, 0x742f0836, 0xdaf2a860, - 0x7427c0c3, 0xdae86a0d, 0x7420774d, 0xdade2d28, - 0x74192bd5, 0xdad3f1b1, 0x7411de5b, 0xdac9b7a9, - 0x740a8edf, 0xdabf7f11, 0x74033d61, 0xdab547e8, - 0x73fbe9e2, 0xdaab122f, 0x73f49462, 0xdaa0dde7, - 0x73ed3ce1, 0xda96ab0f, 0x73e5e360, 0xda8c79a9, - 0x73de87de, 0xda8249b4, 0x73d72a5d, 0xda781b31, - 0x73cfcadc, 0xda6dee21, 0x73c8695b, 0xda63c284, - 0x73c105db, 0xda599859, 0x73b9a05d, 0xda4f6fa3, - 0x73b238e0, 0xda454860, 0x73aacf65, 0xda3b2292, - 0x73a363ec, 0xda30fe38, 0x739bf675, 0xda26db54, - 0x73948701, 0xda1cb9e5, 0x738d1590, 0xda1299ec, - 0x7385a222, 0xda087b69, 0x737e2cb7, 0xd9fe5e5e, - 0x7376b551, 0xd9f442c9, 0x736f3bee, 0xd9ea28ac, - 0x7367c090, 0xd9e01006, 0x73604336, 0xd9d5f8d9, - 0x7358c3e2, 0xd9cbe325, 0x73514292, 0xd9c1cee9, - 0x7349bf48, 0xd9b7bc27, 0x73423a04, 0xd9adaadf, - 0x733ab2c6, 0xd9a39b11, 0x7333298f, 0xd9998cbe, - 0x732b9e5e, 0xd98f7fe6, 0x73241134, 0xd9857489, - 0x731c8211, 0xd97b6aa8, 0x7314f0f6, 0xd9716243, - 0x730d5de3, 0xd9675b5a, 0x7305c8d7, 0xd95d55ef, - 0x72fe31d5, 0xd9535201, 0x72f698db, 0xd9494f90, - 0x72eefdea, 0xd93f4e9e, 0x72e76102, 0xd9354f2a, - 0x72dfc224, 0xd92b5135, 0x72d82150, 0xd92154bf, - 0x72d07e85, 0xd91759c9, 0x72c8d9c6, 0xd90d6053, - 0x72c13311, 0xd903685d, 0x72b98a67, 0xd8f971e8, - 0x72b1dfc9, 0xd8ef7cf4, 0x72aa3336, 0xd8e58982, - 0x72a284b0, 0xd8db9792, 0x729ad435, 0xd8d1a724, - 0x729321c7, 0xd8c7b838, 0x728b6d66, 0xd8bdcad0, - 0x7283b712, 0xd8b3deeb, 0x727bfecc, 0xd8a9f48a, - 0x72744493, 0xd8a00bae, 0x726c8868, 0xd8962456, - 0x7264ca4c, 0xd88c3e83, 0x725d0a3e, 0xd8825a35, - 0x72554840, 0xd878776d, 0x724d8450, 0xd86e962b, - 0x7245be70, 0xd864b670, 0x723df6a0, 0xd85ad83c, - 0x72362ce0, 0xd850fb8e, 0x722e6130, 0xd8472069, - 0x72269391, 0xd83d46cc, 0x721ec403, 0xd8336eb7, - 0x7216f287, 0xd829982b, 0x720f1f1c, 0xd81fc328, - 0x720749c3, 0xd815efae, 0x71ff727c, 0xd80c1dbf, - 0x71f79948, 0xd8024d59, 0x71efbe27, 0xd7f87e7f, - 0x71e7e118, 0xd7eeb130, 0x71e0021e, 0xd7e4e56c, - 0x71d82137, 0xd7db1b34, 0x71d03e64, 0xd7d15288, - 0x71c859a5, 0xd7c78b68, 0x71c072fb, 0xd7bdc5d6, - 0x71b88a66, 0xd7b401d1, 0x71b09fe7, 0xd7aa3f5a, - 0x71a8b37c, 0xd7a07e70, 0x71a0c528, 0xd796bf16, - 0x7198d4ea, 0xd78d014a, 0x7190e2c3, 0xd783450d, - 0x7188eeb2, 0xd7798a60, 0x7180f8b8, 0xd76fd143, - 0x717900d6, 0xd76619b6, 0x7171070c, 0xd75c63ba, - 0x71690b59, 0xd752af4f, 0x71610dbf, 0xd748fc75, - 0x71590e3e, 0xd73f4b2e, 0x71510cd5, 0xd7359b78, - 0x71490986, 0xd72bed55, 0x71410450, 0xd72240c5, - 0x7138fd35, 0xd71895c9, 0x7130f433, 0xd70eec60, - 0x7128e94c, 0xd705448b, 0x7120dc80, 0xd6fb9e4b, - 0x7118cdcf, 0xd6f1f99f, 0x7110bd39, 0xd6e85689, - 0x7108aabf, 0xd6deb508, 0x71009661, 0xd6d5151d, - 0x70f8801f, 0xd6cb76c9, 0x70f067fb, 0xd6c1da0b, - 0x70e84df3, 0xd6b83ee4, 0x70e03208, 0xd6aea555, - 0x70d8143b, 0xd6a50d5d, 0x70cff48c, 0xd69b76fe, - 0x70c7d2fb, 0xd691e237, 0x70bfaf89, 0xd6884f09, - 0x70b78a36, 0xd67ebd74, 0x70af6302, 0xd6752d79, - 0x70a739ed, 0xd66b9f18, 0x709f0ef8, 0xd6621251, - 0x7096e223, 0xd6588725, 0x708eb36f, 0xd64efd94, - 0x708682dc, 0xd645759f, 0x707e5069, 0xd63bef46, - 0x70761c18, 0xd6326a88, 0x706de5e9, 0xd628e767, - 0x7065addb, 0xd61f65e4, 0x705d73f0, 0xd615e5fd, - 0x70553828, 0xd60c67b4, 0x704cfa83, 0xd602eb0a, - 0x7044bb00, 0xd5f96ffd, 0x703c79a2, 0xd5eff690, - 0x70343667, 0xd5e67ec1, 0x702bf151, 0xd5dd0892, - 0x7023aa5f, 0xd5d39403, 0x701b6193, 0xd5ca2115, - 0x701316eb, 0xd5c0afc6, 0x700aca69, 0xd5b74019, - 0x70027c0c, 0xd5add20d, 0x6ffa2bd6, 0xd5a465a3, - 0x6ff1d9c7, 0xd59afadb, 0x6fe985de, 0xd59191b5, - 0x6fe1301c, 0xd5882a32, 0x6fd8d882, 0xd57ec452, - 0x6fd07f0f, 0xd5756016, 0x6fc823c5, 0xd56bfd7d, - 0x6fbfc6a3, 0xd5629c89, 0x6fb767aa, 0xd5593d3a, - 0x6faf06da, 0xd54fdf8f, 0x6fa6a433, 0xd5468389, - 0x6f9e3fb6, 0xd53d292a, 0x6f95d963, 0xd533d070, - 0x6f8d713a, 0xd52a795d, 0x6f85073c, 0xd52123f0, - 0x6f7c9b69, 0xd517d02b, 0x6f742dc1, 0xd50e7e0d, - 0x6f6bbe45, 0xd5052d97, 0x6f634cf5, 0xd4fbdec9, - 0x6f5ad9d1, 0xd4f291a4, 0x6f5264da, 0xd4e94627, - 0x6f49ee0f, 0xd4dffc54, 0x6f417573, 0xd4d6b42b, - 0x6f38fb03, 0xd4cd6dab, 0x6f307ec2, 0xd4c428d6, - 0x6f2800af, 0xd4bae5ab, 0x6f1f80ca, 0xd4b1a42c, - 0x6f16ff14, 0xd4a86458, 0x6f0e7b8e, 0xd49f2630, - 0x6f05f637, 0xd495e9b3, 0x6efd6f10, 0xd48caee4, - 0x6ef4e619, 0xd48375c1, 0x6eec5b53, 0xd47a3e4b, - 0x6ee3cebe, 0xd4710883, 0x6edb405a, 0xd467d469, - 0x6ed2b027, 0xd45ea1fd, 0x6eca1e27, 0xd4557140, - 0x6ec18a58, 0xd44c4232, 0x6eb8f4bc, 0xd44314d3, - 0x6eb05d53, 0xd439e923, 0x6ea7c41e, 0xd430bf24, - 0x6e9f291b, 0xd42796d5, 0x6e968c4d, 0xd41e7037, - 0x6e8dedb3, 0xd4154b4a, 0x6e854d4d, 0xd40c280e, - 0x6e7cab1c, 0xd4030684, 0x6e740720, 0xd3f9e6ad, - 0x6e6b615a, 0xd3f0c887, 0x6e62b9ca, 0xd3e7ac15, - 0x6e5a1070, 0xd3de9156, 0x6e51654c, 0xd3d5784a, - 0x6e48b860, 0xd3cc60f2, 0x6e4009aa, 0xd3c34b4f, - 0x6e37592c, 0xd3ba3760, 0x6e2ea6e6, 0xd3b12526, - 0x6e25f2d8, 0xd3a814a2, 0x6e1d3d03, 0xd39f05d3, - 0x6e148566, 0xd395f8ba, 0x6e0bcc03, 0xd38ced57, - 0x6e0310d9, 0xd383e3ab, 0x6dfa53e9, 0xd37adbb6, - 0x6df19534, 0xd371d579, 0x6de8d4b8, 0xd368d0f3, - 0x6de01278, 0xd35fce26, 0x6dd74e73, 0xd356cd11, - 0x6dce88aa, 0xd34dcdb4, 0x6dc5c11c, 0xd344d011, - 0x6dbcf7cb, 0xd33bd427, 0x6db42cb6, 0xd332d9f7, - 0x6dab5fdf, 0xd329e181, 0x6da29144, 0xd320eac6, - 0x6d99c0e7, 0xd317f5c6, 0x6d90eec8, 0xd30f0280, - 0x6d881ae8, 0xd30610f7, 0x6d7f4545, 0xd2fd2129, - 0x6d766de2, 0xd2f43318, 0x6d6d94bf, 0xd2eb46c3, - 0x6d64b9da, 0xd2e25c2b, 0x6d5bdd36, 0xd2d97350, - 0x6d52fed2, 0xd2d08c33, 0x6d4a1eaf, 0xd2c7a6d4, - 0x6d413ccd, 0xd2bec333, 0x6d38592c, 0xd2b5e151, - 0x6d2f73cd, 0xd2ad012e, 0x6d268cb0, 0xd2a422ca, - 0x6d1da3d5, 0xd29b4626, 0x6d14b93d, 0xd2926b41, - 0x6d0bcce8, 0xd289921e, 0x6d02ded7, 0xd280babb, - 0x6cf9ef09, 0xd277e518, 0x6cf0fd80, 0xd26f1138, - 0x6ce80a3a, 0xd2663f19, 0x6cdf153a, 0xd25d6ebc, - 0x6cd61e7f, 0xd254a021, 0x6ccd2609, 0xd24bd34a, - 0x6cc42bd9, 0xd2430835, 0x6cbb2fef, 0xd23a3ee4, - 0x6cb2324c, 0xd2317756, 0x6ca932ef, 0xd228b18d, - 0x6ca031da, 0xd21fed88, 0x6c972f0d, 0xd2172b48, - 0x6c8e2a87, 0xd20e6acc, 0x6c85244a, 0xd205ac17, - 0x6c7c1c55, 0xd1fcef27, 0x6c7312a9, 0xd1f433fd, - 0x6c6a0746, 0xd1eb7a9a, 0x6c60fa2d, 0xd1e2c2fd, - 0x6c57eb5e, 0xd1da0d28, 0x6c4edada, 0xd1d1591a, - 0x6c45c8a0, 0xd1c8a6d4, 0x6c3cb4b1, 0xd1bff656, - 0x6c339f0e, 0xd1b747a0, 0x6c2a87b6, 0xd1ae9ab4, - 0x6c216eaa, 0xd1a5ef90, 0x6c1853eb, 0xd19d4636, - 0x6c0f3779, 0xd1949ea6, 0x6c061953, 0xd18bf8e0, - 0x6bfcf97c, 0xd18354e4, 0x6bf3d7f2, 0xd17ab2b3, - 0x6beab4b6, 0xd172124d, 0x6be18fc9, 0xd16973b3, - 0x6bd8692b, 0xd160d6e5, 0x6bcf40dc, 0xd1583be2, - 0x6bc616dd, 0xd14fa2ad, 0x6bbceb2d, 0xd1470b44, - 0x6bb3bdce, 0xd13e75a8, 0x6baa8ec0, 0xd135e1d9, - 0x6ba15e03, 0xd12d4fd9, 0x6b982b97, 0xd124bfa6, - 0x6b8ef77d, 0xd11c3142, 0x6b85c1b5, 0xd113a4ad, - 0x6b7c8a3f, 0xd10b19e7, 0x6b73511c, 0xd10290f0, - 0x6b6a164d, 0xd0fa09c9, 0x6b60d9d0, 0xd0f18472, - 0x6b579ba8, 0xd0e900ec, 0x6b4e5bd4, 0xd0e07f36, - 0x6b451a55, 0xd0d7ff51, 0x6b3bd72a, 0xd0cf813e, - 0x6b329255, 0xd0c704fd, 0x6b294bd5, 0xd0be8a8d, - 0x6b2003ac, 0xd0b611f1, 0x6b16b9d9, 0xd0ad9b26, - 0x6b0d6e5c, 0xd0a5262f, 0x6b042137, 0xd09cb30b, - 0x6afad269, 0xd09441bb, 0x6af181f3, 0xd08bd23f, - 0x6ae82fd5, 0xd0836497, 0x6adedc10, 0xd07af8c4, - 0x6ad586a3, 0xd0728ec6, 0x6acc2f90, 0xd06a269d, - 0x6ac2d6d6, 0xd061c04a, 0x6ab97c77, 0xd0595bcd, - 0x6ab02071, 0xd050f926, 0x6aa6c2c6, 0xd0489856, - 0x6a9d6377, 0xd040395d, 0x6a940283, 0xd037dc3b, - 0x6a8a9fea, 0xd02f80f1, 0x6a813bae, 0xd027277e, - 0x6a77d5ce, 0xd01ecfe4, 0x6a6e6e4b, 0xd0167a22, - 0x6a650525, 0xd00e2639, 0x6a5b9a5d, 0xd005d42a, - 0x6a522df3, 0xcffd83f4, 0x6a48bfe7, 0xcff53597, - 0x6a3f503a, 0xcfece915, 0x6a35deeb, 0xcfe49e6d, - 0x6a2c6bfd, 0xcfdc55a1, 0x6a22f76e, 0xcfd40eaf, - 0x6a19813f, 0xcfcbc999, 0x6a100970, 0xcfc3865e, - 0x6a069003, 0xcfbb4500, 0x69fd14f6, 0xcfb3057d, - 0x69f3984c, 0xcfaac7d8, 0x69ea1a03, 0xcfa28c10, - 0x69e09a1c, 0xcf9a5225, 0x69d71899, 0xcf921a17, - 0x69cd9578, 0xcf89e3e8, 0x69c410ba, 0xcf81af97, - 0x69ba8a61, 0xcf797d24, 0x69b1026c, 0xcf714c91, - 0x69a778db, 0xcf691ddd, 0x699dedaf, 0xcf60f108, - 0x699460e8, 0xcf58c613, 0x698ad287, 0xcf509cfe, - 0x6981428c, 0xcf4875ca, 0x6977b0f7, 0xcf405077, - 0x696e1dc9, 0xcf382d05, 0x69648902, 0xcf300b74, - 0x695af2a3, 0xcf27ebc5, 0x69515aab, 0xcf1fcdf8, - 0x6947c11c, 0xcf17b20d, 0x693e25f5, 0xcf0f9805, - 0x69348937, 0xcf077fe1, 0x692aeae3, 0xceff699f, - 0x69214af8, 0xcef75541, 0x6917a977, 0xceef42c7, - 0x690e0661, 0xcee73231, 0x690461b5, 0xcedf2380, - 0x68fabb75, 0xced716b4, 0x68f113a0, 0xcecf0bcd, - 0x68e76a37, 0xcec702cb, 0x68ddbf3b, 0xcebefbb0, - 0x68d412ab, 0xceb6f67a, 0x68ca6488, 0xceaef32b, - 0x68c0b4d2, 0xcea6f1c2, 0x68b7038b, 0xce9ef241, - 0x68ad50b1, 0xce96f4a7, 0x68a39c46, 0xce8ef8f4, - 0x6899e64a, 0xce86ff2a, 0x68902ebd, 0xce7f0748, - 0x688675a0, 0xce77114e, 0x687cbaf3, 0xce6f1d3d, - 0x6872feb6, 0xce672b16, 0x686940ea, 0xce5f3ad8, - 0x685f8190, 0xce574c84, 0x6855c0a6, 0xce4f6019, - 0x684bfe2f, 0xce47759a, 0x68423a2a, 0xce3f8d05, - 0x68387498, 0xce37a65b, 0x682ead78, 0xce2fc19c, - 0x6824e4cc, 0xce27dec9, 0x681b1a94, 0xce1ffde2, - 0x68114ed0, 0xce181ee8, 0x68078181, 0xce1041d9, - 0x67fdb2a7, 0xce0866b8, 0x67f3e241, 0xce008d84, - 0x67ea1052, 0xcdf8b63d, 0x67e03cd8, 0xcdf0e0e4, - 0x67d667d5, 0xcde90d79, 0x67cc9149, 0xcde13bfd, - 0x67c2b934, 0xcdd96c6f, 0x67b8df97, 0xcdd19ed0, - 0x67af0472, 0xcdc9d320, 0x67a527c4, 0xcdc20960, - 0x679b4990, 0xcdba4190, 0x679169d5, 0xcdb27bb0, - 0x67878893, 0xcdaab7c0, 0x677da5cb, 0xcda2f5c2, - 0x6773c17d, 0xcd9b35b4, 0x6769dbaa, 0xcd937798, - 0x675ff452, 0xcd8bbb6d, 0x67560b76, 0xcd840134, - 0x674c2115, 0xcd7c48ee, 0x67423530, 0xcd74929a, - 0x673847c8, 0xcd6cde39, 0x672e58dc, 0xcd652bcb, - 0x6724686e, 0xcd5d7b50, 0x671a767e, 0xcd55ccca, - 0x6710830c, 0xcd4e2037, 0x67068e18, 0xcd467599, - 0x66fc97a3, 0xcd3eccef, 0x66f29fad, 0xcd37263a, - 0x66e8a637, 0xcd2f817b, 0x66deab41, 0xcd27deb0, - 0x66d4aecb, 0xcd203ddc, 0x66cab0d6, 0xcd189efe, - 0x66c0b162, 0xcd110216, 0x66b6b070, 0xcd096725, - 0x66acadff, 0xcd01ce2b, 0x66a2aa11, 0xccfa3729, - 0x6698a4a6, 0xccf2a21d, 0x668e9dbd, 0xcceb0f0a, - 0x66849558, 0xcce37def, 0x667a8b77, 0xccdbeecc, - 0x6670801a, 0xccd461a2, 0x66667342, 0xccccd671, - 0x665c64ef, 0xccc54d3a, 0x66525521, 0xccbdc5fc, - 0x664843d9, 0xccb640b8, 0x663e3117, 0xccaebd6e, - 0x66341cdb, 0xcca73c1e, 0x662a0727, 0xcc9fbcca, - 0x661feffa, 0xcc983f70, 0x6615d754, 0xcc90c412, - 0x660bbd37, 0xcc894aaf, 0x6601a1a2, 0xcc81d349, - 0x65f78497, 0xcc7a5dde, 0x65ed6614, 0xcc72ea70, - 0x65e3461b, 0xcc6b78ff, 0x65d924ac, 0xcc64098b, - 0x65cf01c8, 0xcc5c9c14, 0x65c4dd6e, 0xcc55309b, - 0x65bab7a0, 0xcc4dc720, 0x65b0905d, 0xcc465fa3, - 0x65a667a7, 0xcc3efa25, 0x659c3d7c, 0xcc3796a5, - 0x659211df, 0xcc303524, 0x6587e4cf, 0xcc28d5a3, - 0x657db64c, 0xcc217822, 0x65738657, 0xcc1a1ca0, - 0x656954f1, 0xcc12c31f, 0x655f2219, 0xcc0b6b9e, - 0x6554edd1, 0xcc04161e, 0x654ab818, 0xcbfcc29f, - 0x654080ef, 0xcbf57121, 0x65364857, 0xcbee21a5, - 0x652c0e4f, 0xcbe6d42b, 0x6521d2d8, 0xcbdf88b3, - 0x651795f3, 0xcbd83f3d, 0x650d57a0, 0xcbd0f7ca, - 0x650317df, 0xcbc9b25a, 0x64f8d6b0, 0xcbc26eee, - 0x64ee9415, 0xcbbb2d85, 0x64e4500e, 0xcbb3ee20, - 0x64da0a9a, 0xcbacb0bf, 0x64cfc3ba, 0xcba57563, - 0x64c57b6f, 0xcb9e3c0b, 0x64bb31ba, 0xcb9704b9, - 0x64b0e699, 0xcb8fcf6b, 0x64a69a0f, 0xcb889c23, - 0x649c4c1b, 0xcb816ae1, 0x6491fcbe, 0xcb7a3ba5, - 0x6487abf7, 0xcb730e70, 0x647d59c8, 0xcb6be341, - 0x64730631, 0xcb64ba19, 0x6468b132, 0xcb5d92f8, - 0x645e5acc, 0xcb566ddf, 0x645402ff, 0xcb4f4acd, - 0x6449a9cc, 0xcb4829c4, 0x643f4f32, 0xcb410ac3, - 0x6434f332, 0xcb39edca, 0x642a95ce, 0xcb32d2da, - 0x64203704, 0xcb2bb9f4, 0x6415d6d5, 0xcb24a316, - 0x640b7543, 0xcb1d8e43, 0x6401124d, 0xcb167b79, - 0x63f6adf3, 0xcb0f6aba, 0x63ec4837, 0xcb085c05, - 0x63e1e117, 0xcb014f5b, 0x63d77896, 0xcafa44bc, - 0x63cd0eb3, 0xcaf33c28, 0x63c2a36f, 0xcaec35a0, - 0x63b836ca, 0xcae53123, 0x63adc8c4, 0xcade2eb3, - 0x63a3595e, 0xcad72e4f, 0x6398e898, 0xcad02ff8, - 0x638e7673, 0xcac933ae, 0x638402ef, 0xcac23971, - 0x63798e0d, 0xcabb4141, 0x636f17cc, 0xcab44b1f, - 0x6364a02e, 0xcaad570c, 0x635a2733, 0xcaa66506, - 0x634facda, 0xca9f750f, 0x63453125, 0xca988727, - 0x633ab414, 0xca919b4e, 0x633035a7, 0xca8ab184, - 0x6325b5df, 0xca83c9ca, 0x631b34bc, 0xca7ce420, - 0x6310b23e, 0xca760086, 0x63062e67, 0xca6f1efc, - 0x62fba936, 0xca683f83, 0x62f122ab, 0xca61621b, - 0x62e69ac8, 0xca5a86c4, 0x62dc118c, 0xca53ad7e, - 0x62d186f8, 0xca4cd64b, 0x62c6fb0c, 0xca460129, - 0x62bc6dca, 0xca3f2e19, 0x62b1df30, 0xca385d1d, - 0x62a74f40, 0xca318e32, 0x629cbdfa, 0xca2ac15b, - 0x62922b5e, 0xca23f698, 0x6287976e, 0xca1d2de7, - 0x627d0228, 0xca16674b, 0x62726b8e, 0xca0fa2c3, - 0x6267d3a0, 0xca08e04f, 0x625d3a5e, 0xca021fef, - 0x62529fca, 0xc9fb61a5, 0x624803e2, 0xc9f4a570, - 0x623d66a8, 0xc9edeb50, 0x6232c81c, 0xc9e73346, - 0x6228283f, 0xc9e07d51, 0x621d8711, 0xc9d9c973, - 0x6212e492, 0xc9d317ab, 0x620840c2, 0xc9cc67fa, - 0x61fd9ba3, 0xc9c5ba60, 0x61f2f534, 0xc9bf0edd, - 0x61e84d76, 0xc9b86572, 0x61dda46a, 0xc9b1be1e, - 0x61d2fa0f, 0xc9ab18e3, 0x61c84e67, 0xc9a475bf, - 0x61bda171, 0xc99dd4b4, 0x61b2f32e, 0xc99735c2, - 0x61a8439e, 0xc99098e9, 0x619d92c2, 0xc989fe29, - 0x6192e09b, 0xc9836582, 0x61882d28, 0xc97ccef5, - 0x617d786a, 0xc9763a83, 0x6172c262, 0xc96fa82a, - 0x61680b0f, 0xc96917ec, 0x615d5273, 0xc96289c9, - 0x6152988d, 0xc95bfdc1, 0x6147dd5f, 0xc95573d4, - 0x613d20e8, 0xc94eec03, 0x61326329, 0xc948664d, - 0x6127a423, 0xc941e2b4, 0x611ce3d5, 0xc93b6137, - 0x61122240, 0xc934e1d6, 0x61075f65, 0xc92e6492, - 0x60fc9b44, 0xc927e96b, 0x60f1d5de, 0xc9217062, - 0x60e70f32, 0xc91af976, 0x60dc4742, 0xc91484a8, - 0x60d17e0d, 0xc90e11f7, 0x60c6b395, 0xc907a166, - 0x60bbe7d8, 0xc90132f2, 0x60b11ad9, 0xc8fac69e, - 0x60a64c97, 0xc8f45c68, 0x609b7d13, 0xc8edf452, - 0x6090ac4d, 0xc8e78e5b, 0x6085da46, 0xc8e12a84, - 0x607b06fe, 0xc8dac8cd, 0x60703275, 0xc8d46936, - 0x60655cac, 0xc8ce0bc0, 0x605a85a3, 0xc8c7b06b, - 0x604fad5b, 0xc8c15736, 0x6044d3d4, 0xc8bb0023, - 0x6039f90f, 0xc8b4ab32, 0x602f1d0b, 0xc8ae5862, - 0x60243fca, 0xc8a807b4, 0x6019614c, 0xc8a1b928, - 0x600e8190, 0xc89b6cbf, 0x6003a099, 0xc8952278, - 0x5ff8be65, 0xc88eda54, 0x5feddaf6, 0xc8889454, - 0x5fe2f64c, 0xc8825077, 0x5fd81067, 0xc87c0ebd, - 0x5fcd2948, 0xc875cf28, 0x5fc240ef, 0xc86f91b7, - 0x5fb7575c, 0xc869566a, 0x5fac6c91, 0xc8631d42, - 0x5fa1808c, 0xc85ce63e, 0x5f969350, 0xc856b160, - 0x5f8ba4dc, 0xc8507ea7, 0x5f80b531, 0xc84a4e14, - 0x5f75c44e, 0xc8441fa6, 0x5f6ad235, 0xc83df35f, - 0x5f5fdee6, 0xc837c93e, 0x5f54ea62, 0xc831a143, - 0x5f49f4a8, 0xc82b7b70, 0x5f3efdb9, 0xc82557c3, - 0x5f340596, 0xc81f363d, 0x5f290c3f, 0xc81916df, - 0x5f1e11b5, 0xc812f9a9, 0x5f1315f7, 0xc80cde9b, - 0x5f081907, 0xc806c5b5, 0x5efd1ae4, 0xc800aef7, - 0x5ef21b90, 0xc7fa9a62, 0x5ee71b0a, 0xc7f487f6, - 0x5edc1953, 0xc7ee77b3, 0x5ed1166b, 0xc7e8699a, - 0x5ec61254, 0xc7e25daa, 0x5ebb0d0d, 0xc7dc53e3, - 0x5eb00696, 0xc7d64c47, 0x5ea4fef0, 0xc7d046d6, - 0x5e99f61d, 0xc7ca438f, 0x5e8eec1b, 0xc7c44272, - 0x5e83e0eb, 0xc7be4381, 0x5e78d48e, 0xc7b846ba, - 0x5e6dc705, 0xc7b24c20, 0x5e62b84f, 0xc7ac53b1, - 0x5e57a86d, 0xc7a65d6e, 0x5e4c9760, 0xc7a06957, - 0x5e418528, 0xc79a776c, 0x5e3671c5, 0xc79487ae, - 0x5e2b5d38, 0xc78e9a1d, 0x5e204781, 0xc788aeb9, - 0x5e1530a1, 0xc782c582, 0x5e0a1898, 0xc77cde79, - 0x5dfeff67, 0xc776f99d, 0x5df3e50d, 0xc77116f0, - 0x5de8c98c, 0xc76b3671, 0x5dddace4, 0xc7655820, - 0x5dd28f15, 0xc75f7bfe, 0x5dc7701f, 0xc759a20a, - 0x5dbc5004, 0xc753ca46, 0x5db12ec3, 0xc74df4b1, - 0x5da60c5d, 0xc748214c, 0x5d9ae8d2, 0xc7425016, - 0x5d8fc424, 0xc73c8111, 0x5d849e51, 0xc736b43c, - 0x5d79775c, 0xc730e997, 0x5d6e4f43, 0xc72b2123, - 0x5d632608, 0xc7255ae0, 0x5d57fbaa, 0xc71f96ce, - 0x5d4cd02c, 0xc719d4ed, 0x5d41a38c, 0xc714153e, - 0x5d3675cb, 0xc70e57c0, 0x5d2b46ea, 0xc7089c75, - 0x5d2016e9, 0xc702e35c, 0x5d14e5c9, 0xc6fd2c75, - 0x5d09b389, 0xc6f777c1, 0x5cfe802b, 0xc6f1c540, - 0x5cf34baf, 0xc6ec14f2, 0x5ce81615, 0xc6e666d7, - 0x5cdcdf5e, 0xc6e0baf0, 0x5cd1a78a, 0xc6db113d, - 0x5cc66e99, 0xc6d569be, 0x5cbb348d, 0xc6cfc472, - 0x5caff965, 0xc6ca215c, 0x5ca4bd21, 0xc6c4807a, - 0x5c997fc4, 0xc6bee1cd, 0x5c8e414b, 0xc6b94554, - 0x5c8301b9, 0xc6b3ab12, 0x5c77c10e, 0xc6ae1304, - 0x5c6c7f4a, 0xc6a87d2d, 0x5c613c6d, 0xc6a2e98b, - 0x5c55f878, 0xc69d5820, 0x5c4ab36b, 0xc697c8eb, - 0x5c3f6d47, 0xc6923bec, 0x5c34260c, 0xc68cb124, - 0x5c28ddbb, 0xc6872894, 0x5c1d9454, 0xc681a23a, - 0x5c1249d8, 0xc67c1e18, 0x5c06fe46, 0xc6769c2e, - 0x5bfbb1a0, 0xc6711c7b, 0x5bf063e6, 0xc66b9f01, - 0x5be51518, 0xc66623be, 0x5bd9c537, 0xc660aab5, - 0x5bce7442, 0xc65b33e4, 0x5bc3223c, 0xc655bf4c, - 0x5bb7cf23, 0xc6504ced, 0x5bac7af9, 0xc64adcc7, - 0x5ba125bd, 0xc6456edb, 0x5b95cf71, 0xc6400329, - 0x5b8a7815, 0xc63a99b1, 0x5b7f1fa9, 0xc6353273, - 0x5b73c62d, 0xc62fcd6f, 0x5b686ba3, 0xc62a6aa6, - 0x5b5d100a, 0xc6250a18, 0x5b51b363, 0xc61fabc4, - 0x5b4655ae, 0xc61a4fac, 0x5b3af6ec, 0xc614f5cf, - 0x5b2f971e, 0xc60f9e2e, 0x5b243643, 0xc60a48c9, - 0x5b18d45c, 0xc604f5a0, 0x5b0d716a, 0xc5ffa4b3, - 0x5b020d6c, 0xc5fa5603, 0x5af6a865, 0xc5f5098f, - 0x5aeb4253, 0xc5efbf58, 0x5adfdb37, 0xc5ea775e, - 0x5ad47312, 0xc5e531a1, 0x5ac909e5, 0xc5dfee22, - 0x5abd9faf, 0xc5daace1, 0x5ab23471, 0xc5d56ddd, - 0x5aa6c82b, 0xc5d03118, 0x5a9b5adf, 0xc5caf690, - 0x5a8fec8c, 0xc5c5be47, 0x5a847d33, 0xc5c0883d, - 0x5a790cd4, 0xc5bb5472, 0x5a6d9b70, 0xc5b622e6, - 0x5a622907, 0xc5b0f399, 0x5a56b599, 0xc5abc68c, - 0x5a4b4128, 0xc5a69bbe, 0x5a3fcbb3, 0xc5a17330, - 0x5a34553b, 0xc59c4ce3, 0x5a28ddc0, 0xc59728d5, - 0x5a1d6544, 0xc5920708, 0x5a11ebc5, 0xc58ce77c, - 0x5a067145, 0xc587ca31, 0x59faf5c5, 0xc582af26, - 0x59ef7944, 0xc57d965d, 0x59e3fbc3, 0xc5787fd6, - 0x59d87d42, 0xc5736b90, 0x59ccfdc2, 0xc56e598c, - 0x59c17d44, 0xc56949ca, 0x59b5fbc8, 0xc5643c4a, - 0x59aa794d, 0xc55f310d, 0x599ef5d6, 0xc55a2812, - 0x59937161, 0xc555215a, 0x5987ebf0, 0xc5501ce5, - 0x597c6584, 0xc54b1ab4, 0x5970de1b, 0xc5461ac6, - 0x596555b8, 0xc5411d1b, 0x5959cc5a, 0xc53c21b4, - 0x594e4201, 0xc5372891, 0x5942b6af, 0xc53231b3, - 0x59372a64, 0xc52d3d18, 0x592b9d1f, 0xc5284ac3, - 0x59200ee3, 0xc5235ab2, 0x59147fae, 0xc51e6ce6, - 0x5908ef82, 0xc519815f, 0x58fd5e5f, 0xc514981d, - 0x58f1cc45, 0xc50fb121, 0x58e63935, 0xc50acc6b, - 0x58daa52f, 0xc505e9fb, 0x58cf1034, 0xc50109d0, - 0x58c37a44, 0xc4fc2bec, 0x58b7e35f, 0xc4f7504e, - 0x58ac4b87, 0xc4f276f7, 0x58a0b2bb, 0xc4ed9fe7, - 0x589518fc, 0xc4e8cb1e, 0x58897e4a, 0xc4e3f89c, - 0x587de2a7, 0xc4df2862, 0x58724611, 0xc4da5a6f, - 0x5866a88a, 0xc4d58ec3, 0x585b0a13, 0xc4d0c560, - 0x584f6aab, 0xc4cbfe45, 0x5843ca53, 0xc4c73972, - 0x5838290c, 0xc4c276e8, 0x582c86d5, 0xc4bdb6a6, - 0x5820e3b0, 0xc4b8f8ad, 0x58153f9d, 0xc4b43cfd, - 0x58099a9c, 0xc4af8397, 0x57fdf4ae, 0xc4aacc7a, - 0x57f24dd3, 0xc4a617a6, 0x57e6a60c, 0xc4a1651c, - 0x57dafd59, 0xc49cb4dd, 0x57cf53bb, 0xc49806e7, - 0x57c3a931, 0xc4935b3c, 0x57b7fdbd, 0xc48eb1db, - 0x57ac515f, 0xc48a0ac4, 0x57a0a417, 0xc48565f9, - 0x5794f5e6, 0xc480c379, 0x578946cc, 0xc47c2344, - 0x577d96ca, 0xc477855a, 0x5771e5e0, 0xc472e9bc, - 0x5766340f, 0xc46e5069, 0x575a8157, 0xc469b963, - 0x574ecdb8, 0xc46524a9, 0x57431933, 0xc460923b, - 0x573763c9, 0xc45c0219, 0x572bad7a, 0xc4577444, - 0x571ff646, 0xc452e8bc, 0x57143e2d, 0xc44e5f80, - 0x57088531, 0xc449d892, 0x56fccb51, 0xc44553f2, - 0x56f1108f, 0xc440d19e, 0x56e554ea, 0xc43c5199, - 0x56d99864, 0xc437d3e1, 0x56cddafb, 0xc4335877, - 0x56c21cb2, 0xc42edf5c, 0x56b65d88, 0xc42a688f, - 0x56aa9d7e, 0xc425f410, 0x569edc94, 0xc42181e0, - 0x56931acb, 0xc41d11ff, 0x56875823, 0xc418a46d, - 0x567b949d, 0xc414392b, 0x566fd039, 0xc40fd037, - 0x56640af7, 0xc40b6994, 0x565844d8, 0xc4070540, - 0x564c7ddd, 0xc402a33c, 0x5640b606, 0xc3fe4388, - 0x5634ed53, 0xc3f9e624, 0x562923c5, 0xc3f58b10, - 0x561d595d, 0xc3f1324e, 0x56118e1a, 0xc3ecdbdc, - 0x5605c1fd, 0xc3e887bb, 0x55f9f507, 0xc3e435ea, - 0x55ee2738, 0xc3dfe66c, 0x55e25890, 0xc3db993e, - 0x55d68911, 0xc3d74e62, 0x55cab8ba, 0xc3d305d8, - 0x55bee78c, 0xc3cebfa0, 0x55b31587, 0xc3ca7bba, - 0x55a742ac, 0xc3c63a26, 0x559b6efb, 0xc3c1fae5, - 0x558f9a76, 0xc3bdbdf6, 0x5583c51b, 0xc3b9835a, - 0x5577eeec, 0xc3b54b11, 0x556c17e9, 0xc3b1151b, - 0x55604013, 0xc3ace178, 0x5554676a, 0xc3a8b028, - 0x55488dee, 0xc3a4812c, 0x553cb3a0, 0xc3a05484, - 0x5530d881, 0xc39c2a2f, 0x5524fc90, 0xc398022f, - 0x55191fcf, 0xc393dc82, 0x550d423d, 0xc38fb92a, - 0x550163dc, 0xc38b9827, 0x54f584ac, 0xc3877978, - 0x54e9a4ac, 0xc3835d1e, 0x54ddc3de, 0xc37f4319, - 0x54d1e242, 0xc37b2b6a, 0x54c5ffd9, 0xc377160f, - 0x54ba1ca3, 0xc373030a, 0x54ae38a0, 0xc36ef25b, - 0x54a253d1, 0xc36ae401, 0x54966e36, 0xc366d7fd, - 0x548a87d1, 0xc362ce50, 0x547ea0a0, 0xc35ec6f8, - 0x5472b8a5, 0xc35ac1f7, 0x5466cfe1, 0xc356bf4d, - 0x545ae653, 0xc352bef9, 0x544efbfc, 0xc34ec0fc, - 0x544310dd, 0xc34ac556, 0x543724f5, 0xc346cc07, - 0x542b3846, 0xc342d510, 0x541f4ad1, 0xc33ee070, - 0x54135c94, 0xc33aee27, 0x54076d91, 0xc336fe37, - 0x53fb7dc9, 0xc333109e, 0x53ef8d3c, 0xc32f255e, - 0x53e39be9, 0xc32b3c75, 0x53d7a9d3, 0xc32755e5, - 0x53cbb6f8, 0xc32371ae, 0x53bfc35b, 0xc31f8fcf, - 0x53b3cefa, 0xc31bb049, 0x53a7d9d7, 0xc317d31c, - 0x539be3f2, 0xc313f848, 0x538fed4b, 0xc3101fce, - 0x5383f5e3, 0xc30c49ad, 0x5377fdbb, 0xc30875e5, - 0x536c04d2, 0xc304a477, 0x53600b2a, 0xc300d563, - 0x535410c3, 0xc2fd08a9, 0x5348159d, 0xc2f93e4a, - 0x533c19b8, 0xc2f57644, 0x53301d16, 0xc2f1b099, - 0x53241fb6, 0xc2eded49, 0x5318219a, 0xc2ea2c53, - 0x530c22c1, 0xc2e66db8, 0x5300232c, 0xc2e2b178, - 0x52f422db, 0xc2def794, 0x52e821cf, 0xc2db400a, - 0x52dc2009, 0xc2d78add, 0x52d01d89, 0xc2d3d80a, - 0x52c41a4f, 0xc2d02794, 0x52b8165b, 0xc2cc7979, - 0x52ac11af, 0xc2c8cdbb, 0x52a00c4b, 0xc2c52459, - 0x5294062f, 0xc2c17d52, 0x5287ff5b, 0xc2bdd8a9, - 0x527bf7d1, 0xc2ba365c, 0x526fef90, 0xc2b6966c, - 0x5263e699, 0xc2b2f8d8, 0x5257dced, 0xc2af5da2, - 0x524bd28c, 0xc2abc4c9, 0x523fc776, 0xc2a82e4d, - 0x5233bbac, 0xc2a49a2e, 0x5227af2e, 0xc2a1086d, - 0x521ba1fd, 0xc29d790a, 0x520f941a, 0xc299ec05, - 0x52038584, 0xc296615d, 0x51f7763c, 0xc292d914, - 0x51eb6643, 0xc28f5329, 0x51df5599, 0xc28bcf9c, - 0x51d3443f, 0xc2884e6e, 0x51c73235, 0xc284cf9f, - 0x51bb1f7c, 0xc281532e, 0x51af0c13, 0xc27dd91c, - 0x51a2f7fc, 0xc27a616a, 0x5196e337, 0xc276ec16, - 0x518acdc4, 0xc2737922, 0x517eb7a4, 0xc270088e, - 0x5172a0d7, 0xc26c9a58, 0x5166895f, 0xc2692e83, - 0x515a713a, 0xc265c50e, 0x514e586a, 0xc2625df8, - 0x51423ef0, 0xc25ef943, 0x513624cb, 0xc25b96ee, - 0x512a09fc, 0xc25836f9, 0x511dee84, 0xc254d965, - 0x5111d263, 0xc2517e31, 0x5105b599, 0xc24e255e, - 0x50f99827, 0xc24aceed, 0x50ed7a0e, 0xc2477adc, - 0x50e15b4e, 0xc244292c, 0x50d53be7, 0xc240d9de, - 0x50c91bda, 0xc23d8cf1, 0x50bcfb28, 0xc23a4265, - 0x50b0d9d0, 0xc236fa3b, 0x50a4b7d3, 0xc233b473, - 0x50989532, 0xc230710d, 0x508c71ee, 0xc22d3009, - 0x50804e06, 0xc229f167, 0x5074297b, 0xc226b528, - 0x5068044e, 0xc2237b4b, 0x505bde7f, 0xc22043d0, - 0x504fb80e, 0xc21d0eb8, 0x504390fd, 0xc219dc03, - 0x5037694b, 0xc216abb1, 0x502b40f8, 0xc2137dc2, - 0x501f1807, 0xc2105236, 0x5012ee76, 0xc20d290d, - 0x5006c446, 0xc20a0248, 0x4ffa9979, 0xc206dde6, - 0x4fee6e0d, 0xc203bbe8, 0x4fe24205, 0xc2009c4e, - 0x4fd6155f, 0xc1fd7f17, 0x4fc9e81e, 0xc1fa6445, - 0x4fbdba40, 0xc1f74bd6, 0x4fb18bc8, 0xc1f435cc, - 0x4fa55cb4, 0xc1f12227, 0x4f992d06, 0xc1ee10e5, - 0x4f8cfcbe, 0xc1eb0209, 0x4f80cbdc, 0xc1e7f591, - 0x4f749a61, 0xc1e4eb7e, 0x4f68684e, 0xc1e1e3d0, - 0x4f5c35a3, 0xc1dede87, 0x4f500260, 0xc1dbdba3, - 0x4f43ce86, 0xc1d8db25, 0x4f379a16, 0xc1d5dd0c, - 0x4f2b650f, 0xc1d2e158, 0x4f1f2f73, 0xc1cfe80a, - 0x4f12f941, 0xc1ccf122, 0x4f06c27a, 0xc1c9fca0, - 0x4efa8b20, 0xc1c70a84, 0x4eee5331, 0xc1c41ace, - 0x4ee21aaf, 0xc1c12d7e, 0x4ed5e19a, 0xc1be4294, - 0x4ec9a7f3, 0xc1bb5a11, 0x4ebd6db9, 0xc1b873f5, - 0x4eb132ef, 0xc1b5903f, 0x4ea4f793, 0xc1b2aef0, - 0x4e98bba7, 0xc1afd007, 0x4e8c7f2a, 0xc1acf386, - 0x4e80421e, 0xc1aa196c, 0x4e740483, 0xc1a741b9, - 0x4e67c65a, 0xc1a46c6e, 0x4e5b87a2, 0xc1a1998a, - 0x4e4f485c, 0xc19ec90d, 0x4e430889, 0xc19bfaf9, - 0x4e36c82a, 0xc1992f4c, 0x4e2a873e, 0xc1966606, - 0x4e1e45c6, 0xc1939f29, 0x4e1203c3, 0xc190dab4, - 0x4e05c135, 0xc18e18a7, 0x4df97e1d, 0xc18b5903, - 0x4ded3a7b, 0xc1889bc6, 0x4de0f64f, 0xc185e0f3, - 0x4dd4b19a, 0xc1832888, 0x4dc86c5d, 0xc1807285, - 0x4dbc2698, 0xc17dbeec, 0x4dafe04b, 0xc17b0dbb, - 0x4da39978, 0xc1785ef4, 0x4d97521d, 0xc175b296, - 0x4d8b0a3d, 0xc17308a1, 0x4d7ec1d6, 0xc1706115, - 0x4d7278eb, 0xc16dbbf3, 0x4d662f7b, 0xc16b193a, - 0x4d59e586, 0xc16878eb, 0x4d4d9b0e, 0xc165db05, - 0x4d415013, 0xc1633f8a, 0x4d350495, 0xc160a678, - 0x4d28b894, 0xc15e0fd1, 0x4d1c6c11, 0xc15b7b94, - 0x4d101f0e, 0xc158e9c1, 0x4d03d189, 0xc1565a58, - 0x4cf78383, 0xc153cd5a, 0x4ceb34fe, 0xc15142c6, - 0x4cdee5f9, 0xc14eba9d, 0x4cd29676, 0xc14c34df, - 0x4cc64673, 0xc149b18b, 0x4cb9f5f3, 0xc14730a3, - 0x4cada4f5, 0xc144b225, 0x4ca1537a, 0xc1423613, - 0x4c950182, 0xc13fbc6c, 0x4c88af0e, 0xc13d4530, - 0x4c7c5c1e, 0xc13ad060, 0x4c7008b3, 0xc1385dfb, - 0x4c63b4ce, 0xc135ee02, 0x4c57606e, 0xc1338075, - 0x4c4b0b94, 0xc1311553, 0x4c3eb641, 0xc12eac9d, - 0x4c326075, 0xc12c4653, 0x4c260a31, 0xc129e276, - 0x4c19b374, 0xc1278104, 0x4c0d5c41, 0xc12521ff, - 0x4c010496, 0xc122c566, 0x4bf4ac75, 0xc1206b39, - 0x4be853de, 0xc11e1379, 0x4bdbfad1, 0xc11bbe26, - 0x4bcfa150, 0xc1196b3f, 0x4bc34759, 0xc1171ac6, - 0x4bb6ecef, 0xc114ccb9, 0x4baa9211, 0xc1128119, - 0x4b9e36c0, 0xc11037e6, 0x4b91dafc, 0xc10df120, - 0x4b857ec7, 0xc10bacc8, 0x4b79221f, 0xc1096add, - 0x4b6cc506, 0xc1072b5f, 0x4b60677c, 0xc104ee4f, - 0x4b540982, 0xc102b3ac, 0x4b47ab19, 0xc1007b77, - 0x4b3b4c40, 0xc0fe45b0, 0x4b2eecf8, 0xc0fc1257, - 0x4b228d42, 0xc0f9e16b, 0x4b162d1d, 0xc0f7b2ee, - 0x4b09cc8c, 0xc0f586df, 0x4afd6b8d, 0xc0f35d3e, - 0x4af10a22, 0xc0f1360b, 0x4ae4a84b, 0xc0ef1147, - 0x4ad84609, 0xc0eceef1, 0x4acbe35b, 0xc0eacf09, - 0x4abf8043, 0xc0e8b190, 0x4ab31cc1, 0xc0e69686, - 0x4aa6b8d5, 0xc0e47deb, 0x4a9a5480, 0xc0e267be, - 0x4a8defc3, 0xc0e05401, 0x4a818a9d, 0xc0de42b2, - 0x4a752510, 0xc0dc33d2, 0x4a68bf1b, 0xc0da2762, - 0x4a5c58c0, 0xc0d81d61, 0x4a4ff1fe, 0xc0d615cf, - 0x4a438ad7, 0xc0d410ad, 0x4a37234a, 0xc0d20dfa, - 0x4a2abb59, 0xc0d00db6, 0x4a1e5303, 0xc0ce0fe3, - 0x4a11ea49, 0xc0cc147f, 0x4a05812c, 0xc0ca1b8a, - 0x49f917ac, 0xc0c82506, 0x49ecadc9, 0xc0c630f2, - 0x49e04385, 0xc0c43f4d, 0x49d3d8df, 0xc0c25019, - 0x49c76dd8, 0xc0c06355, 0x49bb0271, 0xc0be7901, - 0x49ae96aa, 0xc0bc911d, 0x49a22a83, 0xc0baabaa, - 0x4995bdfd, 0xc0b8c8a7, 0x49895118, 0xc0b6e815, - 0x497ce3d5, 0xc0b509f3, 0x49707635, 0xc0b32e42, - 0x49640837, 0xc0b15502, 0x495799dd, 0xc0af7e33, - 0x494b2b27, 0xc0ada9d4, 0x493ebc14, 0xc0abd7e6, - 0x49324ca7, 0xc0aa086a, 0x4925dcdf, 0xc0a83b5e, - 0x49196cbc, 0xc0a670c4, 0x490cfc40, 0xc0a4a89b, - 0x49008b6a, 0xc0a2e2e3, 0x48f41a3c, 0xc0a11f9d, - 0x48e7a8b5, 0xc09f5ec8, 0x48db36d6, 0xc09da065, - 0x48cec4a0, 0xc09be473, 0x48c25213, 0xc09a2af3, - 0x48b5df30, 0xc09873e4, 0x48a96bf6, 0xc096bf48, - 0x489cf867, 0xc0950d1d, 0x48908483, 0xc0935d64, - 0x4884104b, 0xc091b01d, 0x48779bbe, 0xc0900548, - 0x486b26de, 0xc08e5ce5, 0x485eb1ab, 0xc08cb6f5, - 0x48523c25, 0xc08b1376, 0x4845c64d, 0xc089726a, - 0x48395024, 0xc087d3d0, 0x482cd9a9, 0xc08637a9, - 0x482062de, 0xc0849df4, 0x4813ebc2, 0xc08306b2, - 0x48077457, 0xc08171e2, 0x47fafc9c, 0xc07fdf85, - 0x47ee8493, 0xc07e4f9b, 0x47e20c3b, 0xc07cc223, - 0x47d59396, 0xc07b371e, 0x47c91aa3, 0xc079ae8c, - 0x47bca163, 0xc078286e, 0x47b027d7, 0xc076a4c2, - 0x47a3adff, 0xc0752389, 0x479733dc, 0xc073a4c3, - 0x478ab96e, 0xc0722871, 0x477e3eb5, 0xc070ae92, - 0x4771c3b3, 0xc06f3726, 0x47654867, 0xc06dc22e, - 0x4758ccd2, 0xc06c4fa8, 0x474c50f4, 0xc06adf97, - 0x473fd4cf, 0xc06971f9, 0x47335862, 0xc06806ce, - 0x4726dbae, 0xc0669e18, 0x471a5eb3, 0xc06537d4, - 0x470de172, 0xc063d405, 0x470163eb, 0xc06272aa, - 0x46f4e620, 0xc06113c2, 0x46e86810, 0xc05fb74e, - 0x46dbe9bb, 0xc05e5d4e, 0x46cf6b23, 0xc05d05c3, - 0x46c2ec48, 0xc05bb0ab, 0x46b66d29, 0xc05a5e07, - 0x46a9edc9, 0xc0590dd8, 0x469d6e27, 0xc057c01d, - 0x4690ee44, 0xc05674d6, 0x46846e1f, 0xc0552c03, - 0x4677edbb, 0xc053e5a5, 0x466b6d16, 0xc052a1bb, - 0x465eec33, 0xc0516045, 0x46526b10, 0xc0502145, - 0x4645e9af, 0xc04ee4b8, 0x46396810, 0xc04daaa1, - 0x462ce634, 0xc04c72fe, 0x4620641a, 0xc04b3dcf, - 0x4613e1c5, 0xc04a0b16, 0x46075f33, 0xc048dad1, - 0x45fadc66, 0xc047ad01, 0x45ee595d, 0xc04681a6, - 0x45e1d61b, 0xc04558c0, 0x45d5529e, 0xc044324f, - 0x45c8cee7, 0xc0430e53, 0x45bc4af8, 0xc041eccc, - 0x45afc6d0, 0xc040cdba, 0x45a3426f, 0xc03fb11d, - 0x4596bdd7, 0xc03e96f6, 0x458a3908, 0xc03d7f44, - 0x457db403, 0xc03c6a07, 0x45712ec7, 0xc03b573f, - 0x4564a955, 0xc03a46ed, 0x455823ae, 0xc0393910, - 0x454b9dd3, 0xc0382da8, 0x453f17c3, 0xc03724b6, - 0x4532917f, 0xc0361e3a, 0x45260b08, 0xc0351a33, - 0x4519845e, 0xc03418a2, 0x450cfd82, 0xc0331986, - 0x45007674, 0xc0321ce0, 0x44f3ef35, 0xc03122b0, - 0x44e767c5, 0xc0302af5, 0x44dae024, 0xc02f35b1, - 0x44ce5854, 0xc02e42e2, 0x44c1d054, 0xc02d5289, - 0x44b54825, 0xc02c64a6, 0x44a8bfc7, 0xc02b7939, - 0x449c373c, 0xc02a9042, 0x448fae83, 0xc029a9c1, - 0x4483259d, 0xc028c5b6, 0x44769c8b, 0xc027e421, - 0x446a134c, 0xc0270502, 0x445d89e2, 0xc0262859, - 0x4451004d, 0xc0254e27, 0x4444768d, 0xc024766a, - 0x4437eca4, 0xc023a124, 0x442b6290, 0xc022ce54, - 0x441ed854, 0xc021fdfb, 0x44124dee, 0xc0213018, - 0x4405c361, 0xc02064ab, 0x43f938ac, 0xc01f9bb5, - 0x43ecadcf, 0xc01ed535, 0x43e022cc, 0xc01e112b, - 0x43d397a3, 0xc01d4f99, 0x43c70c54, 0xc01c907c, - 0x43ba80df, 0xc01bd3d6, 0x43adf546, 0xc01b19a7, - 0x43a16988, 0xc01a61ee, 0x4394dda7, 0xc019acac, - 0x438851a2, 0xc018f9e1, 0x437bc57b, 0xc018498c, - 0x436f3931, 0xc0179bae, 0x4362acc5, 0xc016f047, - 0x43562038, 0xc0164757, 0x43499389, 0xc015a0dd, - 0x433d06bb, 0xc014fcda, 0x433079cc, 0xc0145b4e, - 0x4323ecbe, 0xc013bc39, 0x43175f91, 0xc0131f9b, - 0x430ad245, 0xc0128574, 0x42fe44dc, 0xc011edc3, - 0x42f1b755, 0xc011588a, 0x42e529b0, 0xc010c5c7, - 0x42d89bf0, 0xc010357c, 0x42cc0e13, 0xc00fa7a8, - 0x42bf801a, 0xc00f1c4a, 0x42b2f207, 0xc00e9364, - 0x42a663d8, 0xc00e0cf5, 0x4299d590, 0xc00d88fd, - 0x428d472e, 0xc00d077c, 0x4280b8b3, 0xc00c8872, - 0x42742a1f, 0xc00c0be0, 0x42679b73, 0xc00b91c4, - 0x425b0caf, 0xc00b1a20, 0x424e7dd4, 0xc00aa4f3, - 0x4241eee2, 0xc00a323d, 0x42355fd9, 0xc009c1ff, - 0x4228d0bb, 0xc0095438, 0x421c4188, 0xc008e8e8, - 0x420fb240, 0xc008800f, 0x420322e3, 0xc00819ae, - 0x41f69373, 0xc007b5c4, 0x41ea03ef, 0xc0075452, - 0x41dd7459, 0xc006f556, 0x41d0e4b0, 0xc00698d3, - 0x41c454f5, 0xc0063ec6, 0x41b7c528, 0xc005e731, - 0x41ab354b, 0xc0059214, 0x419ea55d, 0xc0053f6e, - 0x4192155f, 0xc004ef3f, 0x41858552, 0xc004a188, - 0x4178f536, 0xc0045648, 0x416c650b, 0xc0040d80, - 0x415fd4d2, 0xc003c72f, 0x4153448c, 0xc0038356, - 0x4146b438, 0xc00341f4, 0x413a23d8, 0xc003030a, - 0x412d936c, 0xc002c697, 0x412102f4, 0xc0028c9c, - 0x41147271, 0xc0025519, 0x4107e1e3, 0xc002200d, - 0x40fb514b, 0xc001ed78, 0x40eec0aa, 0xc001bd5c, - 0x40e22fff, 0xc0018fb6, 0x40d59f4c, 0xc0016489, - 0x40c90e90, 0xc0013bd3, 0x40bc7dcc, 0xc0011594, - 0x40afed02, 0xc000f1ce, 0x40a35c30, 0xc000d07e, - 0x4096cb58, 0xc000b1a7, 0x408a3a7b, 0xc0009547, - 0x407da998, 0xc0007b5f, 0x407118b0, 0xc00063ee, - 0x406487c4, 0xc0004ef5, 0x4057f6d4, 0xc0003c74, - 0x404b65e1, 0xc0002c6a, 0x403ed4ea, 0xc0001ed8, - 0x403243f1, 0xc00013bd, 0x4025b2f7, 0xc0000b1a, - 0x401921fb, 0xc00004ef, 0x400c90fe, 0xc000013c, -}; - -/** -* @brief Initialization function for the Q31 RFFT/RIFFT. -* @param[in, out] *S points to an instance of the Q31 RFFT/RIFFT structure. -* @param[in, out] *S_CFFT points to an instance of the Q31 CFFT/CIFFT structure. -* @param[in] fftLenReal length of the FFT. -* @param[in] ifftFlagR flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. -* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. -* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported value. -* -* \par Description: -* \par -* The parameter <code>fftLenReal</code> Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048. -* \par -* The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed. -* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. -* \par -* The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order. -* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. -* \par -* This function also initializes Twiddle factor table. -*/ - -arm_status arm_rfft_init_q31( - arm_rfft_instance_q31 * S, - arm_cfft_radix4_instance_q31 * S_CFFT, - uint32_t fftLenReal, - uint32_t ifftFlagR, - uint32_t bitReverseFlag) -{ - /* Initialise the default arm status */ - arm_status status = ARM_MATH_SUCCESS; - - /* Initialize the Real FFT length */ - S->fftLenReal = (uint16_t) fftLenReal; - - /* Initialize the Complex FFT length */ - S->fftLenBy2 = (uint16_t) fftLenReal / 2u; - - /* Initialize the Twiddle coefficientA pointer */ - S->pTwiddleAReal = (q31_t *) realCoefAQ31; - - /* Initialize the Twiddle coefficientB pointer */ - S->pTwiddleBReal = (q31_t *) realCoefBQ31; - - /* Initialize the Flag for selection of RFFT or RIFFT */ - S->ifftFlagR = (uint8_t) ifftFlagR; - - /* Initialize the Flag for calculation Bit reversal or not */ - S->bitReverseFlagR = (uint8_t) bitReverseFlag; - - /* Initialization of coef modifier depending on the FFT length */ - switch (S->fftLenReal) - { - case 8192: - S->twidCoefRModifier = 1u; - break; - case 2048u: - S->twidCoefRModifier = 4u; - break; - case 512u: - S->twidCoefRModifier = 16u; - break; - case 128u: - S->twidCoefRModifier = 64u; - break; - default: - /* Reporting argument error if rfftSize is not valid value */ - status = ARM_MATH_ARGUMENT_ERROR; - break; - } - - /* Init Complex FFT Instance */ - S->pCfft = S_CFFT; - - if(S->ifftFlagR) - { - /* Initializes the CIFFT Module for fftLenreal/2 length */ - arm_cfft_radix4_init_q31(S->pCfft, (uint16_t) S->fftLenBy2, 1u, 1u); - } - else - { - /* Initializes the CFFT Module for fftLenreal/2 length */ - arm_cfft_radix4_init_q31(S->pCfft, (uint16_t) S->fftLenBy2, 0u, 1u); - } - - /* return the status of RFFT Init function */ - return (status); - -} - - /** - * @} end of RealFFT group - */
--- a/cmsis_dsp/TransformFunctions/arm_rfft_q15.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,482 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_rfft_q15.c -* -* Description: RFFT & RIFFT Q15 process function -* -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -void arm_radix4_butterfly_q15( - q15_t * pSrc16, - uint32_t fftLen, - q15_t * pCoef16, - uint32_t twidCoefModifier); - -void arm_radix4_butterfly_inverse_q15( - q15_t * pSrc16, - uint32_t fftLen, - q15_t * pCoef16, - uint32_t twidCoefModifier); - -void arm_bitreversal_q15( - q15_t * pSrc, - uint32_t fftLen, - uint16_t bitRevFactor, - uint16_t * pBitRevTab); - - /*-------------------------------------------------------------------- -* Internal functions prototypes ---------------------------------------------------------------------*/ - -void arm_split_rfft_q15( - q15_t * pSrc, - uint32_t fftLen, - q15_t * pATable, - q15_t * pBTable, - q15_t * pDst, - uint32_t modifier); - -void arm_split_rifft_q15( - q15_t * pSrc, - uint32_t fftLen, - q15_t * pATable, - q15_t * pBTable, - q15_t * pDst, - uint32_t modifier); - -/** - * @addtogroup RealFFT - * @{ - */ - -/** - * @brief Processing function for the Q15 RFFT/RIFFT. - * @param[in] *S points to an instance of the Q15 RFFT/RIFFT structure. - * @param[in] *pSrc points to the input buffer. - * @param[out] *pDst points to the output buffer. - * @return none. - * - * \par Input an output formats: - * \par - * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. - * Hence the output format is different for different RFFT sizes. - * The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT: - * \par - * \image html RFFTQ15.gif "Input and Output Formats for Q15 RFFT" - * \par - * \image html RIFFTQ15.gif "Input and Output Formats for Q15 RIFFT" - */ - -void arm_rfft_q15( - const arm_rfft_instance_q15 * S, - q15_t * pSrc, - q15_t * pDst) -{ - const arm_cfft_radix4_instance_q15 *S_CFFT = S->pCfft; - - /* Calculation of RIFFT of input */ - if(S->ifftFlagR == 1u) - { - /* Real IFFT core process */ - arm_split_rifft_q15(pSrc, S->fftLenBy2, S->pTwiddleAReal, - S->pTwiddleBReal, pDst, S->twidCoefRModifier); - - /* Complex readix-4 IFFT process */ - arm_radix4_butterfly_inverse_q15(pDst, S_CFFT->fftLen, - S_CFFT->pTwiddle, - S_CFFT->twidCoefModifier); - - /* Bit reversal process */ - if(S->bitReverseFlagR == 1u) - { - arm_bitreversal_q15(pDst, S_CFFT->fftLen, - S_CFFT->bitRevFactor, S_CFFT->pBitRevTable); - } - } - else - { - /* Calculation of RFFT of input */ - - /* Complex readix-4 FFT process */ - arm_radix4_butterfly_q15(pSrc, S_CFFT->fftLen, - S_CFFT->pTwiddle, S_CFFT->twidCoefModifier); - - /* Bit reversal process */ - if(S->bitReverseFlagR == 1u) - { - arm_bitreversal_q15(pSrc, S_CFFT->fftLen, - S_CFFT->bitRevFactor, S_CFFT->pBitRevTable); - } - - arm_split_rfft_q15(pSrc, S->fftLenBy2, S->pTwiddleAReal, - S->pTwiddleBReal, pDst, S->twidCoefRModifier); - } - -} - - /** - * @} end of RealFFT group - */ - -/** - * @brief Core Real FFT process - * @param *pSrc points to the input buffer. - * @param fftLen length of FFT. - * @param *pATable points to the A twiddle Coef buffer. - * @param *pBTable points to the B twiddle Coef buffer. - * @param *pDst points to the output buffer. - * @param modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. - * @return none. - * The function implements a Real FFT - */ - -void arm_split_rfft_q15( - q15_t * pSrc, - uint32_t fftLen, - q15_t * pATable, - q15_t * pBTable, - q15_t * pDst, - uint32_t modifier) -{ - uint32_t i; /* Loop Counter */ - q31_t outR, outI; /* Temporary variables for output */ - q15_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ - q15_t *pSrc1, *pSrc2; - - -// pSrc[2u * fftLen] = pSrc[0]; -// pSrc[(2u * fftLen) + 1u] = pSrc[1]; - - pCoefA = &pATable[modifier * 2u]; - pCoefB = &pBTable[modifier * 2u]; - - pSrc1 = &pSrc[2]; - pSrc2 = &pSrc[(2u * fftLen) - 2u]; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - i = 1u; - - while(i < fftLen) - { - /* - outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] - + pSrc[2 * n - 2 * i] * pBTable[2 * i] + - pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); - */ - - /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] + - pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */ - - -#ifndef ARM_MATH_BIG_ENDIAN - - /* pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] */ - outR = __SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA)); - -#else - - /* -(pSrc[2 * i + 1] * pATable[2 * i + 1] - pSrc[2 * i] * pATable[2 * i]) */ - outR = -(__SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA))); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* pSrc[2 * n - 2 * i] * pBTable[2 * i] + - pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */ - outR = __SMLAD(*__SIMD32(pSrc2), *__SIMD32(pCoefB), outR) >> 15u; - - /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ - -#ifndef ARM_MATH_BIG_ENDIAN - - outI = __SMUSDX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB)); - -#else - - outI = __SMUSDX(*__SIMD32(pCoefB), *__SIMD32(pSrc2)--); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] */ - outI = __SMLADX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), outI); - - /* write output */ - pDst[2u * i] = (q15_t) outR; - pDst[(2u * i) + 1u] = outI >> 15u; - - /* write complex conjugate output */ - pDst[(4u * fftLen) - (2u * i)] = (q15_t) outR; - pDst[((4u * fftLen) - (2u * i)) + 1u] = -(outI >> 15u); - - /* update coefficient pointer */ - pCoefB = pCoefB + (2u * modifier); - pCoefA = pCoefA + (2u * modifier); - - i++; - - } - - pDst[2u * fftLen] = pSrc[0] - pSrc[1]; - pDst[(2u * fftLen) + 1u] = 0; - - pDst[0] = pSrc[0] + pSrc[1]; - pDst[1] = 0; - - -#else - - /* Run the below code for Cortex-M0 */ - - i = 1u; - - while(i < fftLen) - { - /* - outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] - + pSrc[2 * n - 2 * i] * pBTable[2 * i] + - pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); - */ - - outR = *pSrc1 * *pCoefA; - outR = outR - (*(pSrc1 + 1) * *(pCoefA + 1)); - outR = outR + (*pSrc2 * *pCoefB); - outR = (outR + (*(pSrc2 + 1) * *(pCoefB + 1))) >> 15; - - - /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] + - pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); - */ - - outI = *pSrc2 * *(pCoefB + 1); - outI = outI - (*(pSrc2 + 1) * *pCoefB); - outI = outI + (*(pSrc1 + 1) * *pCoefA); - outI = outI + (*pSrc1 * *(pCoefA + 1)); - - /* update input pointers */ - pSrc1 += 2u; - pSrc2 -= 2u; - - /* write output */ - pDst[2u * i] = (q15_t) outR; - pDst[(2u * i) + 1u] = outI >> 15u; - - /* write complex conjugate output */ - pDst[(4u * fftLen) - (2u * i)] = (q15_t) outR; - pDst[((4u * fftLen) - (2u * i)) + 1u] = -(outI >> 15u); - - /* update coefficient pointer */ - pCoefB = pCoefB + (2u * modifier); - pCoefA = pCoefA + (2u * modifier); - - i++; - - } - - pDst[2u * fftLen] = pSrc[0] - pSrc[1]; - pDst[(2u * fftLen) + 1u] = 0; - - pDst[0] = pSrc[0] + pSrc[1]; - pDst[1] = 0; - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -} - - -/** - * @brief Core Real IFFT process - * @param[in] *pSrc points to the input buffer. - * @param[in] fftLen length of FFT. - * @param[in] *pATable points to the twiddle Coef A buffer. - * @param[in] *pBTable points to the twiddle Coef B buffer. - * @param[out] *pDst points to the output buffer. - * @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. - * @return none. - * The function implements a Real IFFT - */ -void arm_split_rifft_q15( - q15_t * pSrc, - uint32_t fftLen, - q15_t * pATable, - q15_t * pBTable, - q15_t * pDst, - uint32_t modifier) -{ - uint32_t i; /* Loop Counter */ - q31_t outR, outI; /* Temporary variables for output */ - q15_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ - q15_t *pSrc1, *pSrc2; - q15_t *pDst1 = &pDst[0]; - - pCoefA = &pATable[0]; - pCoefB = &pBTable[0]; - - pSrc1 = &pSrc[0]; - pSrc2 = &pSrc[2u * fftLen]; - -#ifndef ARM_MATH_CM0_FAMILY - - /* Run the below code for Cortex-M4 and Cortex-M3 */ - - i = fftLen; - - while(i > 0u) - { - - /* - outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + - pIn[2 * n - 2 * i] * pBTable[2 * i] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); - - outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] - - pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); - - */ - - -#ifndef ARM_MATH_BIG_ENDIAN - - /* pIn[2 * n - 2 * i] * pBTable[2 * i] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */ - outR = __SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB)); - -#else - - /* -(-pIn[2 * n - 2 * i] * pBTable[2 * i] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1])) */ - outR = -(__SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB))); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + - pIn[2 * n - 2 * i] * pBTable[2 * i] */ - outR = __SMLAD(*__SIMD32(pSrc1), *__SIMD32(pCoefA), outR) >> 15u; - - /* - -pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + - pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ - outI = __SMUADX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB)); - - /* pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] */ - -#ifndef ARM_MATH_BIG_ENDIAN - - outI = __SMLSDX(*__SIMD32(pCoefA), *__SIMD32(pSrc1)++, -outI); - -#else - - outI = __SMLSDX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), -outI); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - /* write output */ - -#ifndef ARM_MATH_BIG_ENDIAN - - *__SIMD32(pDst1)++ = __PKHBT(outR, (outI >> 15u), 16); - -#else - - *__SIMD32(pDst1)++ = __PKHBT((outI >> 15u), outR, 16); - -#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ - - /* update coefficient pointer */ - pCoefB = pCoefB + (2u * modifier); - pCoefA = pCoefA + (2u * modifier); - - i--; - - } - - -#else - - /* Run the below code for Cortex-M0 */ - - i = fftLen; - - while(i > 0u) - { - - /* - outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + - pIn[2 * n - 2 * i] * pBTable[2 * i] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); - */ - - outR = *pSrc2 * *pCoefB; - outR = outR - (*(pSrc2 + 1) * *(pCoefB + 1)); - outR = outR + (*pSrc1 * *pCoefA); - outR = (outR + (*(pSrc1 + 1) * *(pCoefA + 1))) >> 15; - - /* - outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] - - pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); - */ - - outI = *(pSrc1 + 1) * *pCoefA; - outI = outI - (*pSrc1 * *(pCoefA + 1)); - outI = outI - (*pSrc2 * *(pCoefB + 1)); - outI = outI - (*(pSrc2 + 1) * *(pCoefB)); - - /* update input pointers */ - pSrc1 += 2u; - pSrc2 -= 2u; - - /* write output */ - *pDst1++ = (q15_t) outR; - *pDst1++ = (q15_t) (outI >> 15); - - /* update coefficient pointer */ - pCoefB = pCoefB + (2u * modifier); - pCoefA = pCoefA + (2u * modifier); - - i--; - - } - -#endif /* #ifndef ARM_MATH_CM0_FAMILY */ - -}
--- a/cmsis_dsp/TransformFunctions/arm_rfft_q31.c Mon Jun 23 09:30:09 2014 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,349 +0,0 @@ -/* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. -* -* $Date: 17. January 2013 -* $Revision: V1.4.1 -* -* Project: CMSIS DSP Library -* Title: arm_rfft_q31.c -* -* Description: RFFT & RIFFT Q31 process function -* -* -* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 -* -* Redistribution and use in source and binary forms, with or without -* modification, are permitted provided that the following conditions -* are met: -* - Redistributions of source code must retain the above copyright -* notice, this list of conditions and the following disclaimer. -* - Redistributions in binary form must reproduce the above copyright -* notice, this list of conditions and the following disclaimer in -* the documentation and/or other materials provided with the -* distribution. -* - Neither the name of ARM LIMITED nor the names of its contributors -* may be used to endorse or promote products derived from this -* software without specific prior written permission. -* -* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS -* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT -* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS -* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE -* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, -* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, -* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; -* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER -* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT -* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN -* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE -* POSSIBILITY OF SUCH DAMAGE. -* -------------------------------------------------------------------- */ - -#include "arm_math.h" - -void arm_radix4_butterfly_inverse_q31( -q31_t * pSrc, -uint32_t fftLen, -q31_t * pCoef, -uint32_t twidCoefModifier); - -void arm_radix4_butterfly_q31( -q31_t * pSrc, -uint32_t fftLen, -q31_t * pCoef, -uint32_t twidCoefModifier); - -void arm_bitreversal_q31( -q31_t * pSrc, -uint32_t fftLen, -uint16_t bitRevFactor, -uint16_t * pBitRevTab); - -/*-------------------------------------------------------------------- -* Internal functions prototypes ---------------------------------------------------------------------*/ - -void arm_split_rfft_q31( - q31_t * pSrc, - uint32_t fftLen, - q31_t * pATable, - q31_t * pBTable, - q31_t * pDst, - uint32_t modifier); - -void arm_split_rifft_q31( - q31_t * pSrc, - uint32_t fftLen, - q31_t * pATable, - q31_t * pBTable, - q31_t * pDst, - uint32_t modifier); - -/** - * @addtogroup RealFFT - * @{ - */ - -/** - * @brief Processing function for the Q31 RFFT/RIFFT. - * @param[in] *S points to an instance of the Q31 RFFT/RIFFT structure. - * @param[in] *pSrc points to the input buffer. - * @param[out] *pDst points to the output buffer. - * @return none. - * - * \par Input an output formats: - * \par - * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. - * Hence the output format is different for different RFFT sizes. - * The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT: - * \par - * \image html RFFTQ31.gif "Input and Output Formats for Q31 RFFT" - * - * \par - * \image html RIFFTQ31.gif "Input and Output Formats for Q31 RIFFT" - */ - -void arm_rfft_q31( - const arm_rfft_instance_q31 * S, - q31_t * pSrc, - q31_t * pDst) -{ - const arm_cfft_radix4_instance_q31 *S_CFFT = S->pCfft; - - /* Calculation of RIFFT of input */ - if(S->ifftFlagR == 1u) - { - /* Real IFFT core process */ - arm_split_rifft_q31(pSrc, S->fftLenBy2, S->pTwiddleAReal, - S->pTwiddleBReal, pDst, S->twidCoefRModifier); - - /* Complex readix-4 IFFT process */ - arm_radix4_butterfly_inverse_q31(pDst, S_CFFT->fftLen, - S_CFFT->pTwiddle, - S_CFFT->twidCoefModifier); - /* Bit reversal process */ - if(S->bitReverseFlagR == 1u) - { - arm_bitreversal_q31(pDst, S_CFFT->fftLen, - S_CFFT->bitRevFactor, S_CFFT->pBitRevTable); - } - } - else - { - /* Calculation of RFFT of input */ - - /* Complex readix-4 FFT process */ - arm_radix4_butterfly_q31(pSrc, S_CFFT->fftLen, - S_CFFT->pTwiddle, S_CFFT->twidCoefModifier); - - /* Bit reversal process */ - if(S->bitReverseFlagR == 1u) - { - arm_bitreversal_q31(pSrc, S_CFFT->fftLen, - S_CFFT->bitRevFactor, S_CFFT->pBitRevTable); - } - - /* Real FFT core process */ - arm_split_rfft_q31(pSrc, S->fftLenBy2, S->pTwiddleAReal, - S->pTwiddleBReal, pDst, S->twidCoefRModifier); - } - -} - - - /** - * @} end of RealFFT group - */ - -/** - * @brief Core Real FFT process - * @param[in] *pSrc points to the input buffer. - * @param[in] fftLen length of FFT. - * @param[in] *pATable points to the twiddle Coef A buffer. - * @param[in] *pBTable points to the twiddle Coef B buffer. - * @param[out] *pDst points to the output buffer. - * @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. - * @return none. - */ - -void arm_split_rfft_q31( - q31_t * pSrc, - uint32_t fftLen, - q31_t * pATable, - q31_t * pBTable, - q31_t * pDst, - uint32_t modifier) -{ - uint32_t i; /* Loop Counter */ - q31_t outR, outI; /* Temporary variables for output */ - q31_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ - q31_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */ - q31_t *pOut1 = &pDst[2], *pOut2 = &pDst[(4u * fftLen) - 1u]; - q31_t *pIn1 = &pSrc[2], *pIn2 = &pSrc[(2u * fftLen) - 1u]; - - /* Init coefficient pointers */ - pCoefA = &pATable[modifier * 2u]; - pCoefB = &pBTable[modifier * 2u]; - - i = fftLen - 1u; - - while(i > 0u) - { - /* - outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] - + pSrc[2 * n - 2 * i] * pBTable[2 * i] + - pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); - */ - - /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] + - pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */ - - CoefA1 = *pCoefA++; - CoefA2 = *pCoefA; - - /* outR = (pSrc[2 * i] * pATable[2 * i] */ - outR = ((int32_t) (((q63_t) * pIn1 * CoefA1) >> 32)); - - /* outI = pIn[2 * i] * pATable[2 * i + 1] */ - outI = ((int32_t) (((q63_t) * pIn1++ * CoefA2) >> 32)); - - /* - pSrc[2 * i + 1] * pATable[2 * i + 1] */ - outR = - (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn1 * (-CoefA2))) >> 32); - - /* (pIn[2 * i + 1] * pATable[2 * i] */ - outI = - (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn1++ * (CoefA1))) >> 32); - - /* pSrc[2 * n - 2 * i] * pBTable[2 * i] */ - outR = - (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn2 * (-CoefA2))) >> 32); - CoefB1 = *pCoefB; - - /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */ - outI = - (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn2-- * (-CoefB1))) >> 32); - - /* pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */ - outR = - (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn2 * (CoefB1))) >> 32); - - /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ - outI = - (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn2-- * (-CoefA2))) >> 32); - - /* write output */ - *pOut1++ = (outR << 1u); - *pOut1++ = (outI << 1u); - - /* write complex conjugate output */ - *pOut2-- = -(outI << 1u); - *pOut2-- = (outR << 1u); - - /* update coefficient pointer */ - pCoefB = pCoefB + (modifier * 2u); - pCoefA = pCoefA + ((modifier * 2u) - 1u); - - i--; - - } - - pDst[2u * fftLen] = pSrc[0] - pSrc[1]; - pDst[(2u * fftLen) + 1u] = 0; - - pDst[0] = pSrc[0] + pSrc[1]; - pDst[1] = 0; - -} - - -/** - * @brief Core Real IFFT process - * @param[in] *pSrc points to the input buffer. - * @param[in] fftLen length of FFT. - * @param[in] *pATable points to the twiddle Coef A buffer. - * @param[in] *pBTable points to the twiddle Coef B buffer. - * @param[out] *pDst points to the output buffer. - * @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. - * @return none. - */ - -void arm_split_rifft_q31( - q31_t * pSrc, - uint32_t fftLen, - q31_t * pATable, - q31_t * pBTable, - q31_t * pDst, - uint32_t modifier) -{ - q31_t outR, outI; /* Temporary variables for output */ - q31_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ - q31_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */ - q31_t *pIn1 = &pSrc[0], *pIn2 = &pSrc[(2u * fftLen) + 1u]; - - pCoefA = &pATable[0]; - pCoefB = &pBTable[0]; - - while(fftLen > 0u) - { - /* - outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + - pIn[2 * n - 2 * i] * pBTable[2 * i] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); - - outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] - - pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); - - */ - CoefA1 = *pCoefA++; - CoefA2 = *pCoefA; - - /* outR = (pIn[2 * i] * pATable[2 * i] */ - outR = ((int32_t) (((q63_t) * pIn1 * CoefA1) >> 32)); - - /* - pIn[2 * i] * pATable[2 * i + 1] */ - outI = -((int32_t) (((q63_t) * pIn1++ * CoefA2) >> 32)); - - /* pIn[2 * i + 1] * pATable[2 * i + 1] */ - outR = - (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn1 * (CoefA2))) >> 32); - - /* pIn[2 * i + 1] * pATable[2 * i] */ - outI = - (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn1++ * (CoefA1))) >> 32); - - /* pIn[2 * n - 2 * i] * pBTable[2 * i] */ - outR = - (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn2 * (CoefA2))) >> 32); - - CoefB1 = *pCoefB; - - /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */ - outI = - (q31_t) ((((q63_t) outI << 32) - ((q63_t) * pIn2-- * (CoefB1))) >> 32); - - /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */ - outR = - (q31_t) ((((q63_t) outR << 32) + ((q63_t) * pIn2 * (CoefB1))) >> 32); - - /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ - outI = - (q31_t) ((((q63_t) outI << 32) + ((q63_t) * pIn2-- * (CoefA2))) >> 32); - - /* write output */ - *pDst++ = (outR << 1u); - *pDst++ = (outI << 1u); - - /* update coefficient pointer */ - pCoefB = pCoefB + (modifier * 2u); - pCoefA = pCoefA + ((modifier * 2u) - 1u); - - /* Decrement loop count */ - fftLen--; - - } - - -}
--- a/cmsis_dsp/arm_common_tables.h Mon Jun 23 09:30:09 2014 +0100 +++ b/cmsis_dsp/arm_common_tables.h Tue Jun 23 06:23:42 2015 +0000 @@ -1,8 +1,8 @@ /* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. +* Copyright (C) 2010-2014 ARM Limited. All rights reserved. * -* $Date: 17. January 2013 -* $Revision: V1.4.1 +* $Date: 12. March 2014 +* $Revision: V1.4.3 * * Project: CMSIS DSP Library * Title: arm_common_tables.h @@ -90,4 +90,9 @@ extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE2048_TABLE_LENGTH]; extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE4096_TABLE_LENGTH]; +/* Tables for Fast Math Sine and Cosine */ +extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1]; +extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1]; +extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1]; + #endif /* ARM_COMMON_TABLES_H */
--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/cmsis_dsp/arm_const_structs.h Tue Jun 23 06:23:42 2015 +0000 @@ -0,0 +1,59 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-20134 ARM Limited. All rights reserved. +* +* $Date: 12. March 2014 +* $Revision: V1.4.3 +* +* Project: CMSIS DSP Library +* Title: arm_const_structs.h +* +* Description: This file has constant structs that are initialized for +* user convenience. For example, some can be given as +* arguments to the arm_cfft_f32() function. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +#ifndef _ARM_CONST_STRUCTS_H +#define _ARM_CONST_STRUCTS_H + +#include "arm_math.h" +#include "arm_common_tables.h" + + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len128; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len256; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len512; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048; + extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096; + +#endif
--- a/cmsis_dsp/arm_math.h Mon Jun 23 09:30:09 2014 +0100 +++ b/cmsis_dsp/arm_math.h Tue Jun 23 06:23:42 2015 +0000 @@ -1,13 +1,13 @@ /* ---------------------------------------------------------------------- -* Copyright (C) 2010-2013 ARM Limited. All rights reserved. +* Copyright (C) 2010-2014 ARM Limited. All rights reserved. * -* $Date: 17. January 2013 -* $Revision: V1.4.1 +* $Date: 12. March 2014 +* $Revision: V1.4.3 * -* Project: CMSIS DSP Library -* Title: arm_math.h +* Project: CMSIS DSP Library +* Title: arm_math.h * -* Description: Public header file for CMSIS DSP Library +* Description: Public header file for CMSIS DSP Library * * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 * @@ -41,7 +41,8 @@ /** \mainpage CMSIS DSP Software Library * - * <b>Introduction</b> + * Introduction + * ------------ * * This user manual describes the CMSIS DSP software library, * a suite of common signal processing functions for use on Cortex-M processor based devices. @@ -61,7 +62,8 @@ * The library has separate functions for operating on 8-bit integers, 16-bit integers, * 32-bit integer and 32-bit floating-point values. * - * <b>Using the Library</b> + * Using the Library + * ------------ * * The library installer contains prebuilt versions of the libraries in the <code>Lib</code> folder. * - arm_cortexM4lf_math.lib (Little endian and Floating Point Unit on Cortex-M4) @@ -79,31 +81,28 @@ * Define the appropriate pre processor MACRO ARM_MATH_CM4 or ARM_MATH_CM3 or * ARM_MATH_CM0 or ARM_MATH_CM0PLUS depending on the target processor in the application. * - * <b>Examples</b> + * Examples + * -------- * * The library ships with a number of examples which demonstrate how to use the library functions. * - * <b>Toolchain Support</b> + * Toolchain Support + * ------------ * * The library has been developed and tested with MDK-ARM version 4.60. * The library is being tested in GCC and IAR toolchains and updates on this activity will be made available shortly. * - * <b>Building the Library</b> + * Building the Library + * ------------ * - * The library installer contains project files to re build libraries on MDK Tool chain in the <code>CMSIS\\DSP_Lib\\Source\\ARM</code> folder. - * - arm_cortexM0b_math.uvproj - * - arm_cortexM0l_math.uvproj - * - arm_cortexM3b_math.uvproj - * - arm_cortexM3l_math.uvproj - * - arm_cortexM4b_math.uvproj - * - arm_cortexM4l_math.uvproj - * - arm_cortexM4bf_math.uvproj - * - arm_cortexM4lf_math.uvproj + * The library installer contains a project file to re build libraries on MDK-ARM Tool chain in the <code>CMSIS\\DSP_Lib\\Source\\ARM</code> folder. + * - arm_cortexM_math.uvproj * * - * The project can be built by opening the appropriate project in MDK-ARM 4.60 chain and defining the optional pre processor MACROs detailed above. + * The libraries can be built by opening the arm_cortexM_math.uvproj project in MDK-ARM, selecting a specific target, and defining the optional pre processor MACROs detailed above. * - * <b>Pre-processor Macros</b> + * Pre-processor Macros + * ------------ * * Each library project have differant pre-processor macros. * @@ -132,9 +131,27 @@ * * Initialize macro __FPU_PRESENT = 1 when building on FPU supported Targets. Enable this macro for M4bf and M4lf libraries * - * <b>Copyright Notice</b> + * <hr> + * CMSIS-DSP in ARM::CMSIS Pack + * ----------------------------- + * + * The following files relevant to CMSIS-DSP are present in the <b>ARM::CMSIS</b> Pack directories: + * |File/Folder |Content | + * |------------------------------|------------------------------------------------------------------------| + * |\b CMSIS\\Documentation\\DSP | This documentation | + * |\b CMSIS\\DSP_Lib | Software license agreement (license.txt) | + * |\b CMSIS\\DSP_Lib\\Examples | Example projects demonstrating the usage of the library functions | + * |\b CMSIS\\DSP_Lib\\Source | Source files for rebuilding the library | + * + * <hr> + * Revision History of CMSIS-DSP + * ------------ + * Please refer to \ref ChangeLog_pg. * - * Copyright (C) 2010-2013 ARM Limited. All rights reserved. + * Copyright Notice + * ------------ + * + * Copyright (C) 2010-2014 ARM Limited. All rights reserved. */ @@ -266,6 +283,7 @@ #define __CMSIS_GENERIC /* disable NVIC and Systick functions */ +#if 0 #if defined (ARM_MATH_CM4) #include "core_cm4.h" #elif defined (ARM_MATH_CM3) @@ -276,10 +294,51 @@ #elif defined (ARM_MATH_CM0PLUS) #include "core_cm0plus.h" #define ARM_MATH_CM0_FAMILY +#elif defined (ARM_MATH_CA9) +#include "core_ca9.h" #else #include "ARMCM4.h" #warning "Define either ARM_MATH_CM4 OR ARM_MATH_CM3...By Default building on ARM_MATH_CM4....." #endif +#else +#include <arm_neon.h> +#if !defined(__CC_ARM) +#define ARM_MATH_CM0_FAMILY +#endif +#define __FPU_USED 1 +#define __INLINE __inline +#if defined(__CC_ARM) +#define __QADD __qadd +#define __QSUB __qsub +#define __QSUB16 __qsub16 +#define __QSUB8 __qsub8 +#define __CLZ __clz +#define __SSAT __ssat +#define __SMUAD __smuad +#define __SMLALD __smlald +#define __QADD16 __qadd16 +#define __SHADD16 __shadd16 +#define __SMUADX __smuadx +#define __SMUSD __smusd +#define __SMUSDX __smusdx +#define __QASX __qasx +#define __QSAX __qsax +#define __SHASX __shasx +#define __SHSAX __shsax +#define __SHSUB16 __shsub16 +#define __SMLAD __smlad +#define __SMLADX __smladx +#define __SMLSDX __smlsdx +#define __ROR __ror +#define __SXTB16 __sxtb16 +#define __SMLALDX __smlaldx +#define __QADD8 __qadd8 +#endif +#define __PKHBT(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0x0000FFFF) | \ + (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000) ) +#define __PKHTB(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0xFFFF0000) | \ + (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF) ) +#endif #undef __CMSIS_GENERIC /* enable NVIC and Systick functions */ #include "string.h" @@ -305,9 +364,13 @@ * @brief Macros required for SINE and COSINE Fast math approximations */ -#define TABLE_SIZE 256 -#define TABLE_SPACING_Q31 0x800000 -#define TABLE_SPACING_Q15 0x80 +#define FAST_MATH_TABLE_SIZE 512 +#define FAST_MATH_Q31_SHIFT (32 - 10) +#define FAST_MATH_Q15_SHIFT (16 - 10) +#define CONTROLLER_Q31_SHIFT (32 - 9) +#define TABLE_SIZE 256 +#define TABLE_SPACING_Q31 0x400000 +#define TABLE_SPACING_Q15 0x80 /** * @brief Macros required for SINE and COSINE Controller functions @@ -386,6 +449,9 @@ #elif defined __GNUC__ #define __SIMD32_TYPE int32_t #define CMSIS_UNUSED __attribute__((unused)) +#elif defined __CSMC__ /* Cosmic */ +#define CMSIS_UNUSED +#define __SIMD32_TYPE int32_t #else #error Unknown compiler #endif @@ -483,7 +549,10 @@ #if defined (ARM_MATH_CM0_FAMILY) && defined ( __CC_ARM ) #define __CLZ __clz -#elif defined (ARM_MATH_CM0_FAMILY) && ((defined (__ICCARM__)) ||(defined (__GNUC__)) || defined (__TASKING__) ) +#endif + +/* #if defined (ARM_MATH_CM0_FAMILY) && ((defined (__ICCARM__)) ||(defined (__GNUC__)) || defined (__TASKING__) ) */ +#if !defined(__CLZ) static __INLINE uint32_t __CLZ( q31_t data); @@ -728,8 +797,8 @@ q31_t sum; q31_t r, s; - r = (short) x; - s = (short) y; + r = (q15_t) x; + s = (q15_t) y; r = __SSAT(r + s, 16); s = __SSAT(((q31_t) ((x >> 16) + (y >> 16))), 16) << 16; @@ -751,8 +820,8 @@ q31_t sum; q31_t r, s; - r = (short) x; - s = (short) y; + r = (q15_t) x; + s = (q15_t) y; r = ((r >> 1) + (s >> 1)); s = ((q31_t) ((x >> 17) + (y >> 17))) << 16; @@ -774,8 +843,8 @@ q31_t sum; q31_t r, s; - r = (short) x; - s = (short) y; + r = (q15_t) x; + s = (q15_t) y; r = __SSAT(r - s, 16); s = __SSAT(((q31_t) ((x >> 16) - (y >> 16))), 16) << 16; @@ -796,8 +865,8 @@ q31_t diff; q31_t r, s; - r = (short) x; - s = (short) y; + r = (q15_t) x; + s = (q15_t) y; r = ((r >> 1) - (s >> 1)); s = (((x >> 17) - (y >> 17)) << 16); @@ -819,8 +888,8 @@ sum = ((sum + - clip_q31_to_q15((q31_t) ((short) (x >> 16) + (short) y))) << 16) + - clip_q31_to_q15((q31_t) ((short) x - (short) (y >> 16))); + clip_q31_to_q15((q31_t) ((q15_t) (x >> 16) + (q15_t) y))) << 16) + + clip_q31_to_q15((q31_t) ((q15_t) x - (q15_t) (y >> 16))); return sum; } @@ -836,8 +905,8 @@ q31_t sum; q31_t r, s; - r = (short) x; - s = (short) y; + r = (q15_t) x; + s = (q15_t) y; r = ((r >> 1) - (y >> 17)); s = (((x >> 17) + (s >> 1)) << 16); @@ -860,8 +929,8 @@ sum = ((sum + - clip_q31_to_q15((q31_t) ((short) (x >> 16) - (short) y))) << 16) + - clip_q31_to_q15((q31_t) ((short) x + (short) (y >> 16))); + clip_q31_to_q15((q31_t) ((q15_t) (x >> 16) - (q15_t) y))) << 16) + + clip_q31_to_q15((q31_t) ((q15_t) x + (q15_t) (y >> 16))); return sum; } @@ -877,8 +946,8 @@ q31_t sum; q31_t r, s; - r = (short) x; - s = (short) y; + r = (q15_t) x; + s = (q15_t) y; r = ((r >> 1) + (y >> 17)); s = (((x >> 17) - (s >> 1)) << 16); @@ -896,8 +965,8 @@ q31_t y) { - return ((q31_t) (((short) x * (short) (y >> 16)) - - ((short) (x >> 16) * (short) y))); + return ((q31_t) (((q15_t) x * (q15_t) (y >> 16)) - + ((q15_t) (x >> 16) * (q15_t) y))); } /* @@ -908,8 +977,8 @@ q31_t y) { - return ((q31_t) (((short) x * (short) (y >> 16)) + - ((short) (x >> 16) * (short) y))); + return ((q31_t) (((q15_t) x * (q15_t) (y >> 16)) + + ((q15_t) (x >> 16) * (q15_t) y))); } /* @@ -941,8 +1010,8 @@ q31_t sum) { - return (sum + ((short) (x >> 16) * (short) (y >> 16)) + - ((short) x * (short) y)); + return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + + ((q15_t) x * (q15_t) y)); } /* @@ -954,8 +1023,8 @@ q31_t sum) { - return (sum + ((short) (x >> 16) * (short) (y)) + - ((short) x * (short) (y >> 16))); + return (sum + ((q15_t) (x >> 16) * (q15_t) (y)) + + ((q15_t) x * (q15_t) (y >> 16))); } /* @@ -967,8 +1036,8 @@ q31_t sum) { - return (sum - ((short) (x >> 16) * (short) (y)) + - ((short) x * (short) (y >> 16))); + return (sum - ((q15_t) (x >> 16) * (q15_t) (y)) + + ((q15_t) x * (q15_t) (y >> 16))); } /* @@ -980,8 +1049,8 @@ q63_t sum) { - return (sum + ((short) (x >> 16) * (short) (y >> 16)) + - ((short) x * (short) y)); + return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + + ((q15_t) x * (q15_t) y)); } /* @@ -993,8 +1062,8 @@ q63_t sum) { - return (sum + ((short) (x >> 16) * (short) y)) + - ((short) x * (short) (y >> 16)); + return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + + ((q15_t) x * (q15_t) (y >> 16)); } /* @@ -1476,6 +1545,49 @@ const arm_matrix_instance_q31 * pSrcB, arm_matrix_instance_q31 * pDst); + /** + * @brief Floating-point, complex, matrix multiplication. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. + */ + + arm_status arm_mat_cmplx_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst); + + /** + * @brief Q15, complex, matrix multiplication. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. + */ + + arm_status arm_mat_cmplx_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pScratch); + + /** + * @brief Q31, complex, matrix multiplication. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. + */ + + arm_status arm_mat_cmplx_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst); + /** * @brief Floating-point matrix transpose. @@ -1534,7 +1646,7 @@ * @param[in] *pSrcA points to the first input matrix structure * @param[in] *pSrcB points to the second input matrix structure * @param[out] *pDst points to output matrix structure - * @param[in] *pState points to the array for storing intermediate results + * @param[in] *pState points to the array for storing intermediate results * @return The function returns either * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking. */ @@ -2046,7 +2158,6 @@ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */ } arm_cfft_radix4_instance_q31; - void arm_cfft_radix4_q31( const arm_cfft_radix4_instance_q31 * S, q31_t * pSrc); @@ -5874,8 +5985,12 @@ #if (__FPU_USED == 1) && defined ( __CC_ARM ) *pOut = __sqrtf(in); #else +#if defined(__GNUC__) + *pOut = __builtin_sqrtf(in); +#else *pOut = sqrtf(in); #endif +#endif return (ARM_MATH_SUCCESS); } @@ -6348,7 +6463,7 @@ void arm_var_q31( q31_t * pSrc, uint32_t blockSize, - q63_t * pResult); + q31_t * pResult); /** * @brief Variance of the elements of a Q15 vector. @@ -6361,7 +6476,7 @@ void arm_var_q15( q15_t * pSrc, uint32_t blockSize, - q31_t * pResult); + q15_t * pResult); /** * @brief Root Mean Square of the elements of a floating-point vector. @@ -7284,6 +7399,24 @@ #define IAR_ONLY_LOW_OPTIMIZATION_EXIT +#elif defined(__CSMC__) // Cosmic +//SMMLA + #define multAcc_32x32_keep32_R(a, x, y) \ + a += (q31_t) (((q63_t) x * y) >> 32) + + //SMMLS + #define multSub_32x32_keep32_R(a, x, y) \ + a -= (q31_t) (((q63_t) x * y) >> 32) + +//SMMUL + #define mult_32x32_keep32_R(a, x, y) \ + a = (q31_t) (((q63_t) x * y ) >> 32) + +#define LOW_OPTIMIZATION_ENTER +#define LOW_OPTIMIZATION_EXIT +#define IAR_ONLY_LOW_OPTIMIZATION_ENTER +#define IAR_ONLY_LOW_OPTIMIZATION_EXIT + #endif