CMSIS DSP library
Dependents: KL25Z_FFT_Demo Hat_Board_v5_1 KL25Z_FFT_Demo_tony KL25Z_FFT_Demo_tony ... more
Fork of mbed-dsp by
Diff: cmsis_dsp/CommonTables/arm_common_tables.c
- Revision:
- 3:7a284390b0ce
- Parent:
- 2:da51fb522205
diff -r da51fb522205 -r 7a284390b0ce cmsis_dsp/CommonTables/arm_common_tables.c --- a/cmsis_dsp/CommonTables/arm_common_tables.c Thu May 30 17:10:11 2013 +0100 +++ b/cmsis_dsp/CommonTables/arm_common_tables.c Fri Nov 08 13:45:10 2013 +0000 @@ -1,8 +1,8 @@ /* ---------------------------------------------------------------------- -* Copyright (C) 2010 ARM Limited. All rights reserved. +* Copyright (C) 2010-2013 ARM Limited. All rights reserved. * -* $Date: 15. February 2012 -* $Revision: V1.1.0 +* $Date: 17. January 2013 +* $Revision: V1.4.1 * * Project: CMSIS DSP Library * Title: arm_common_tables.c @@ -11,23 +11,31 @@ * * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 * -* Version 1.1.0 2012/02/15 -* Updated with more optimizations, bug fixes and minor API changes. -* -* Version 1.0.10 2011/7/15 -* Big Endian support added and Merged M0 and M3/M4 Source code. -* -* Version 1.0.3 2010/11/29 -* Re-organized the CMSIS folders and updated documentation. -* -* Version 1.0.2 2010/11/11 -* Documentation updated. -* -* Version 1.0.1 2010/10/05 -* Production release and review comments incorporated. -* -* Version 1.0.0 2010/09/20 -* Production release and review comments incorporated. +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. * -------------------------------------------------------------------- */ @@ -224,12 +232,2169 @@ * @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< 3N/4; i++) +* <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); @@ -240,2055 +2405,6169 @@ * Cos and Sin values are in interleaved fashion * */ -const float32_t twiddleCoef[6144] = { - 1.000000000000000000f, 0.000000000000000000f, 0.999998823451701880f, - 0.001533980186284766f, 0.999995293809576190f, 0.003067956762965976f, - 0.999989411081928400f, 0.004601926120448571f, 0.999981175282601110f, - 0.006135884649154475f, 0.999970586430974140f, 0.007669828739531097f, - 0.999957644551963900f, 0.009203754782059819f, 0.999942349676023910f, - 0.010737659167264491f, 0.999924701839144500f, 0.012271538285719925f, - 0.999904701082852900f, 0.013805388528060391f, 0.999882347454212560f, - 0.015339206284988100f, 0.999857641005823860f, 0.016872987947281710f, - 0.999830581795823400f, 0.018406729905804820f, 0.999801169887884260f, - 0.019940428551514441f, 0.999769405351215280f, 0.021474080275469508f, - 0.999735288260561680f, 0.023007681468839369f, 0.999698818696204250f, - 0.024541228522912288f, 0.999659996743959220f, 0.026074717829103901f, - 0.999618822495178640f, 0.027608145778965740f, 0.999575296046749220f, - 0.029141508764193722f, 0.999529417501093140f, 0.030674803176636626f, - 0.999481186966166950f, 0.032208025408304586f, 0.999430604555461730f, - 0.033741171851377580f, 0.999377670388002850f, 0.035274238898213947f, - 0.999322384588349540f, 0.036807222941358832f, 0.999264747286594420f, - 0.038340120373552694f, 0.999204758618363890f, 0.039872927587739811f, - 0.999142418724816910f, 0.041405640977076739f, 0.999077727752645360f, - 0.042938256934940820f, 0.999010685854073380f, 0.044470771854938668f, - 0.998941293186856870f, 0.046003182130914623f, 0.998869549914283560f, - 0.047535484156959303f, 0.998795456205172410f, 0.049067674327418015f, - 0.998719012233872940f, 0.050599749036899282f, 0.998640218180265270f, - 0.052131704680283324f, 0.998559074229759310f, 0.053663537652730520f, - 0.998475580573294770f, 0.055195244349689934f, 0.998389737407340160f, - 0.056726821166907748f, 0.998301544933892890f, 0.058258264500435752f, - 0.998211003360478190f, 0.059789570746639868f, 0.998118112900149180f, - 0.061320736302208578f, 0.998022873771486240f, 0.062851757564161406f, - 0.997925286198596000f, 0.064382630929857465f, 0.997825350411111640f, - 0.065913352797003805f, 0.997723066644191640f, 0.067443919563664051f, - 0.997618435138519550f, 0.068974327628266746f, 0.997511456140303450f, - 0.070504573389613856f, 0.997402129901275300f, 0.072034653246889332f, - 0.997290456678690210f, 0.073564563599667426f, 0.997176436735326190f, - 0.075094300847921305f, 0.997060070339482960f, 0.076623861392031492f, - 0.996941357764982160f, 0.078153241632794232f, 0.996820299291165670f, - 0.079682437971430126f, 0.996696895202896060f, 0.081211446809592441f, - 0.996571145790554840f, 0.082740264549375692f, 0.996443051350042630f, - 0.084268887593324071f, 0.996312612182778000f, 0.085797312344439894f, - 0.996179828595696980f, 0.087325535206192059f, 0.996044700901251970f, - 0.088853552582524600f, 0.995907229417411720f, 0.090381360877864983f, - 0.995767414467659820f, 0.091908956497132724f, 0.995625256380994310f, - 0.093436335845747787f, 0.995480755491926940f, 0.094963495329638992f, - 0.995333912140482280f, 0.096490431355252593f, 0.995184726672196930f, - 0.098017140329560604f, 0.995033199438118630f, 0.099543618660069319f, - 0.994879330794805620f, 0.101069862754827820f, 0.994723121104325700f, - 0.102595869022436280f, 0.994564570734255420f, 0.104121633872054590f, - 0.994403680057679100f, 0.105647153713410620f, 0.994240449453187900f, - 0.107172424956808840f, 0.994074879304879370f, 0.108697444013138720f, - 0.993906970002356060f, 0.110222207293883060f, 0.993736721940724600f, - 0.111746711211126590f, 0.993564135520595300f, 0.113270952177564350f, - 0.993389211148080650f, 0.114794926606510080f, 0.993211949234794500f, - 0.116318630911904750f, 0.993032350197851410f, 0.117842061508324980f, - 0.992850414459865100f, 0.119365214810991350f, 0.992666142448948020f, - 0.120888087235777080f, 0.992479534598709970f, 0.122410675199216200f, - 0.992290591348257370f, 0.123932975118512160f, 0.992099313142191800f, - 0.125454983411546230f, 0.991905700430609330f, 0.126976696496885870f, - 0.991709753669099530f, 0.128498110793793170f, 0.991511473318743900f, - 0.130019222722233350f, 0.991310859846115440f, 0.131540028702883120f, - 0.991107913723276890f, 0.133060525157139060f, 0.990902635427780010f, - 0.134580708507126170f, 0.990695025442664630f, 0.136100575175706200f, - 0.990485084256457090f, 0.137620121586486040f, 0.990272812363169110f, - 0.139139344163826200f, 0.990058210262297120f, 0.140658239332849210f, - 0.989841278458820530f, 0.142176803519448030f, 0.989622017463200890f, - 0.143695033150294470f, 0.989400427791380380f, 0.145212924652847460f, - 0.989176509964781010f, 0.146730474455361750f, 0.988950264510302990f, - 0.148247678986896030f, 0.988721691960323780f, 0.149764534677321510f, - 0.988490792852696590f, 0.151281037957330220f, 0.988257567730749460f, - 0.152797185258443440f, 0.988022017143283530f, 0.154312973013020100f, - 0.987784141644572180f, 0.155828397654265230f, 0.987543941794359230f, - 0.157343455616238250f, 0.987301418157858430f, 0.158858143333861450f, - 0.987056571305750970f, 0.160372457242928280f, 0.986809401814185530f, - 0.161886393780111830f, 0.986559910264775410f, 0.163399949382973230f, - 0.986308097244598670f, 0.164913120489969890f, 0.986053963346195440f, - 0.166425903540464100f, 0.985797509167567480f, 0.167938294974731170f, - 0.985538735312176060f, 0.169450291233967960f, 0.985277642388941220f, - 0.170961888760301220f, 0.985014231012239840f, 0.172473083996795950f, - 0.984748501801904210f, 0.173983873387463820f, 0.984480455383220930f, - 0.175494253377271430f, 0.984210092386929030f, 0.177004220412148750f, - 0.983937413449218920f, 0.178513770938997510f, 0.983662419211730250f, - 0.180022901405699510f, 0.983385110321551180f, 0.181531608261124970f, - 0.983105487431216290f, 0.183039887955140950f, 0.982823551198705240f, - 0.184547736938619620f, 0.982539302287441240f, 0.186055151663446630f, - 0.982252741366289370f, 0.187562128582529600f, 0.981963869109555240f, - 0.189068664149806190f, 0.981672686196983110f, 0.190574754820252740f, - 0.981379193313754560f, 0.192080397049892440f, 0.981083391150486710f, - 0.193585587295803610f, 0.980785280403230430f, 0.195090322016128250f, - 0.980484861773469380f, 0.196594597670080220f, 0.980182135968117430f, - 0.198098410717953560f, 0.979877103699517640f, 0.199601757621130970f, - 0.979569765685440520f, 0.201104634842091900f, 0.979260122649082020f, - 0.202607038844421130f, 0.978948175319062200f, 0.204108966092816870f, - 0.978633924429423210f, 0.205610413053099240f, 0.978317370719627650f, - 0.207111376192218560f, 0.977998514934557140f, 0.208611851978263490f, - 0.977677357824509930f, 0.210111836880469610f, 0.977353900145199960f, - 0.211611327369227550f, 0.977028142657754390f, 0.213110319916091360f, - 0.976700086128711840f, 0.214608810993786760f, 0.976369731330021140f, - 0.216106797076219520f, 0.976037079039039020f, 0.217604274638483640f, - 0.975702130038528570f, 0.219101240156869800f, 0.975364885116656980f, - 0.220597690108873510f, 0.975025345066994120f, 0.222093620973203510f, - 0.974683510688510670f, 0.223589029229789990f, 0.974339382785575860f, - 0.225083911359792830f, 0.973992962167955830f, 0.226578263845610000f, - 0.973644249650811980f, 0.228072083170885730f, 0.973293246054698250f, - 0.229565365820518870f, 0.972939952205560180f, 0.231058108280671110f, - 0.972584368934732210f, 0.232550307038775240f, 0.972226497078936270f, - 0.234041958583543430f, 0.971866337480279400f, 0.235533059404975490f, - 0.971503890986251780f, 0.237023605994367200f, 0.971139158449725090f, - 0.238513594844318420f, 0.970772140728950350f, 0.240003022448741500f, - 0.970402838687555500f, 0.241491885302869330f, 0.970031253194543970f, - 0.242980179903263870f, 0.969657385124292450f, 0.244467902747824150f, - 0.969281235356548530f, 0.245955050335794590f, 0.968902804776428870f, - 0.247441619167773270f, 0.968522094274417380f, 0.248927605745720150f, - 0.968139104746362440f, 0.250413006572965220f, 0.967753837093475510f, - 0.251897818154216970f, 0.967366292222328510f, 0.253382036995570160f, - 0.966976471044852070f, 0.254865659604514570f, 0.966584374478333120f, - 0.256348682489942910f, 0.966190003445412500f, 0.257831102162158990f, - 0.965793358874083680f, 0.259312915132886230f, 0.965394441697689400f, - 0.260794117915275510f, 0.964993252854920320f, 0.262274707023913590f, - 0.964589793289812760f, 0.263754678974831350f, 0.964184063951745830f, - 0.265234030285511790f, 0.963776065795439840f, 0.266712757474898370f, - 0.963365799780954050f, 0.268190857063403180f, 0.962953266873683880f, - 0.269668325572915090f, 0.962538468044359160f, 0.271145159526808010f, - 0.962121404269041580f, 0.272621355449948980f, 0.961702076529122540f, - 0.274096909868706380f, 0.961280485811320640f, 0.275571819310958140f, - 0.960856633107679660f, 0.277046080306099900f, 0.960430519415565790f, - 0.278519689385053060f, 0.960002145737665960f, 0.279992643080273220f, - 0.959571513081984520f, 0.281464937925757940f, 0.959138622461841890f, - 0.282936570457055390f, 0.958703474895871600f, 0.284407537211271880f, - 0.958266071408017670f, 0.285877834727080620f, 0.957826413027532910f, - 0.287347459544729510f, 0.957384500788975860f, 0.288816408206049480f, - 0.956940335732208820f, 0.290284677254462330f, 0.956493918902395100f, - 0.291752263234989260f, 0.956045251349996410f, 0.293219162694258630f, - 0.955594334130771110f, 0.294685372180514330f, 0.955141168305770780f, - 0.296150888243623790f, 0.954685754941338340f, 0.297615707435086200f, - 0.954228095109105670f, 0.299079826308040480f, 0.953768189885990330f, - 0.300543241417273450f, 0.953306040354193860f, 0.302005949319228080f, - 0.952841647601198720f, 0.303467946572011320f, 0.952375012719765880f, - 0.304929229735402370f, 0.951906136807932350f, 0.306389795370860920f, - 0.951435020969008340f, 0.307849640041534870f, 0.950961666311575080f, - 0.309308760312268730f, 0.950486073949481700f, 0.310767152749611470f, - 0.950008245001843000f, 0.312224813921824880f, 0.949528180593036670f, - 0.313681740398891520f, 0.949045881852700560f, 0.315137928752522440f, - 0.948561349915730270f, 0.316593375556165850f, 0.948074585922276230f, - 0.318048077385014950f, 0.947585591017741090f, 0.319502030816015690f, - 0.947094366352777220f, 0.320955232427875210f, 0.946600913083283530f, - 0.322407678801069850f, 0.946105232370403450f, 0.323859366517852850f, - 0.945607325380521280f, 0.325310292162262930f, 0.945107193285260610f, - 0.326760452320131730f, 0.944604837261480260f, 0.328209843579092500f, - 0.944100258491272660f, 0.329658462528587490f, 0.943593458161960390f, - 0.331106305759876430f, 0.943084437466093490f, 0.332553369866044220f, - 0.942573197601446870f, 0.333999651442009380f, 0.942059739771017310f, - 0.335445147084531600f, 0.941544065183020810f, 0.336889853392220050f, - 0.941026175050889260f, 0.338333766965541130f, 0.940506070593268300f, - 0.339776884406826850f, 0.939983753034014050f, 0.341219202320282360f, - 0.939459223602189920f, 0.342660717311994380f, 0.938932483532064600f, - 0.344101425989938810f, 0.938403534063108060f, 0.345541324963989090f, - 0.937872376439989890f, 0.346980410845923680f, 0.937339011912574960f, - 0.348418680249434560f, 0.936803441735921560f, 0.349856129790134920f, - 0.936265667170278260f, 0.351292756085567090f, 0.935725689481080370f, - 0.352728555755210730f, 0.935183509938947610f, 0.354163525420490340f, - 0.934639129819680780f, 0.355597661704783850f, 0.934092550404258980f, - 0.357030961233429980f, 0.933543772978836170f, 0.358463420633736540f, - 0.932992798834738960f, 0.359895036534988110f, 0.932439629268462360f, - 0.361325805568454280f, 0.931884265581668150f, 0.362755724367397230f, - 0.931326709081180430f, 0.364184789567079890f, 0.930766961078983710f, - 0.365612997804773850f, 0.930205022892219070f, 0.367040345719767180f, - 0.929640895843181330f, 0.368466829953372320f, 0.929074581259315860f, - 0.369892447148934100f, 0.928506080473215590f, 0.371317193951837540f, - 0.927935394822617890f, 0.372741067009515760f, 0.927362525650401110f, - 0.374164062971457930f, 0.926787474304581750f, 0.375586178489217220f, - 0.926210242138311380f, 0.377007410216418260f, 0.925630830509872720f, - 0.378427754808765560f, 0.925049240782677580f, 0.379847208924051160f, - 0.924465474325262600f, 0.381265769222162380f, 0.923879532511286740f, - 0.382683432365089780f, 0.923291416719527640f, 0.384100195016935040f, - 0.922701128333878630f, 0.385516053843918850f, 0.922108668743345180f, - 0.386931005514388580f, 0.921514039342042010f, 0.388345046698826250f, - 0.920917241529189520f, 0.389758174069856410f, 0.920318276709110590f, - 0.391170384302253870f, 0.919717146291227360f, 0.392581674072951470f, - 0.919113851690057770f, 0.393992040061048100f, 0.918508394325212250f, - 0.395401478947816350f, 0.917900775621390500f, 0.396809987416710310f, - 0.917290997008377910f, 0.398217562153373560f, 0.916679059921042700f, - 0.399624199845646790f, 0.916064965799331720f, 0.401029897183575620f, - 0.915448716088267830f, 0.402434650859418430f, 0.914830312237946200f, - 0.403838457567654070f, 0.914209755703530690f, 0.405241314004989860f, - 0.913587047945250810f, 0.406643216870369030f, 0.912962190428398210f, - 0.408044162864978690f, 0.912335184623322750f, 0.409444148692257590f, - 0.911706032005429880f, 0.410843171057903910f, 0.911074734055176360f, - 0.412241226669882890f, 0.910441292258067250f, 0.413638312238434500f, - 0.909805708104652220f, 0.415034424476081630f, 0.909167983090522380f, - 0.416429560097637150f, 0.908528118716306120f, 0.417823715820212270f, - 0.907886116487666260f, 0.419216888363223910f, 0.907241977915295820f, - 0.420609074448402510f, 0.906595704514915330f, 0.422000270799799680f, - 0.905947297807268460f, 0.423390474143796050f, 0.905296759318118820f, - 0.424779681209108810f, 0.904644090578246240f, 0.426167888726799620f, - 0.903989293123443340f, 0.427555093430282080f, 0.903332368494511820f, - 0.428941292055329490f, 0.902673318237258830f, 0.430326481340082610f, - 0.902012143902493180f, 0.431710658025057260f, 0.901348847046022030f, - 0.433093818853151960f, 0.900683429228646970f, 0.434475960569655650f, - 0.900015892016160280f, 0.435857079922255470f, 0.899346236979341570f, - 0.437237173661044090f, 0.898674465693953820f, 0.438616238538527660f, - 0.898000579740739880f, 0.439994271309633260f, 0.897324580705418320f, - 0.441371268731716670f, 0.896646470178680150f, 0.442747227564570020f, - 0.895966249756185220f, 0.444122144570429200f, 0.895283921038557580f, - 0.445496016513981740f, 0.894599485631382700f, 0.446868840162374160f, - 0.893912945145203250f, 0.448240612285219890f, 0.893224301195515320f, - 0.449611329654606540f, 0.892533555402764580f, 0.450980989045103860f, - 0.891840709392342720f, 0.452349587233770890f, 0.891145764794583180f, - 0.453717121000163870f, 0.890448723244757880f, 0.455083587126343840f, - 0.889749586383072780f, 0.456448982396883920f, 0.889048355854664570f, - 0.457813303598877170f, 0.888345033309596350f, 0.459176547521944090f, - 0.887639620402853930f, 0.460538710958240010f, 0.886932118794342190f, - 0.461899790702462730f, 0.886222530148880640f, 0.463259783551860150f, - 0.885510856136199950f, 0.464618686306237820f, 0.884797098430937790f, - 0.465976495767966180f, 0.884081258712634990f, 0.467333208741988420f, - 0.883363338665731580f, 0.468688822035827900f, 0.882643339979562790f, - 0.470043332459595620f, 0.881921264348355050f, 0.471396736825997640f, - 0.881197113471222090f, 0.472749031950342790f, 0.880470889052160750f, - 0.474100214650549970f, 0.879742592800047410f, 0.475450281747155870f, - 0.879012226428633530f, 0.476799230063322090f, 0.878279791656541580f, - 0.478147056424843010f, 0.877545290207261350f, 0.479493757660153010f, - 0.876808723809145650f, 0.480839330600333960f, 0.876070094195406600f, - 0.482183772079122720f, 0.875329403104110890f, 0.483527078932918740f, - 0.874586652278176110f, 0.484869248000791060f, 0.873841843465366860f, - 0.486210276124486420f, 0.873094978418290090f, 0.487550160148436000f, - 0.872346058894391540f, 0.488888896919763170f, 0.871595086655950980f, - 0.490226483288291160f, 0.870842063470078980f, 0.491562916106549900f, - 0.870086991108711460f, 0.492898192229784040f, 0.869329871348606840f, - 0.494232308515959670f, 0.868570705971340900f, 0.495565261825772540f, - 0.867809496763303320f, 0.496897049022654470f, 0.867046245515692650f, - 0.498227666972781870f, 0.866280954024512990f, 0.499557112545081840f, - 0.865513624090569090f, 0.500885382611240710f, 0.864744257519462380f, - 0.502212474045710790f, 0.863972856121586810f, 0.503538383725717580f, - 0.863199421712124160f, 0.504863108531267590f, 0.862423956111040610f, - 0.506186645345155230f, 0.861646461143081300f, 0.507508991052970870f, - 0.860866938637767310f, 0.508830142543106990f, 0.860085390429390140f, - 0.510150096706766810f, 0.859301818357008470f, 0.511468850437970300f, - 0.858516224264442740f, 0.512786400633562960f, 0.857728610000272120f, - 0.514102744193221660f, 0.856938977417828760f, 0.515417878019462930f, - 0.856147328375194470f, 0.516731799017649870f, 0.855353664735196030f, - 0.518044504095999340f, 0.854557988365400530f, 0.519355990165589640f, - 0.853760301138111410f, 0.520666254140367160f, 0.852960604930363630f, - 0.521975292937154390f, 0.852158901623919830f, 0.523283103475656430f, - 0.851355193105265200f, 0.524589682678468950f, 0.850549481265603480f, - 0.525895027471084630f, 0.849741768000852550f, 0.527199134781901280f, - 0.848932055211639610f, 0.528502001542228480f, 0.848120344803297230f, - 0.529803624686294610f, 0.847306638685858320f, 0.531104001151255000f, - 0.846490938774052130f, 0.532403127877197900f, 0.845673246987299070f, - 0.533701001807152960f, 0.844853565249707120f, 0.534997619887097150f, - 0.844031895490066410f, 0.536292979065963180f, 0.843208239641845440f, - 0.537587076295645390f, 0.842382599643185850f, 0.538879908531008420f, - 0.841554977436898440f, 0.540171472729892850f, 0.840725374970458070f, - 0.541461765853123440f, 0.839893794195999520f, 0.542750784864515890f, - 0.839060237070312740f, 0.544038526730883820f, 0.838224705554838080f, - 0.545324988422046460f, 0.837387201615661940f, 0.546610166910834860f, - 0.836547727223512010f, 0.547894059173100190f, 0.835706284353752600f, - 0.549176662187719660f, 0.834862874986380010f, 0.550457972936604810f, - 0.834017501106018130f, 0.551737988404707340f, 0.833170164701913190f, - 0.553016705580027470f, 0.832320867767929680f, 0.554294121453620000f, - 0.831469612302545240f, 0.555570233019602180f, 0.830616400308846310f, - 0.556845037275160100f, 0.829761233794523050f, 0.558118531220556100f, - 0.828904114771864870f, 0.559390711859136140f, 0.828045045257755800f, - 0.560661576197336030f, 0.827184027273669130f, 0.561931121244689470f, - 0.826321062845663530f, 0.563199344013834090f, 0.825456154004377550f, - 0.564466241520519500f, 0.824589302785025290f, 0.565731810783613120f, - 0.823720511227391430f, 0.566996048825108680f, 0.822849781375826430f, - 0.568258952670131490f, 0.821977115279241550f, 0.569520519346947140f, - 0.821102514991104650f, 0.570780745886967260f, 0.820225982569434690f, - 0.572039629324757050f, 0.819347520076796900f, 0.573297166698042200f, - 0.818467129580298660f, 0.574553355047715760f, 0.817584813151583710f, - 0.575808191417845340f, 0.816700572866827850f, 0.577061672855679440f, - 0.815814410806733780f, 0.578313796411655590f, 0.814926329056526620f, - 0.579564559139405630f, 0.814036329705948410f, 0.580813958095764530f, - 0.813144414849253590f, 0.582061990340775440f, 0.812250586585203880f, - 0.583308652937698290f, 0.811354847017063730f, 0.584553942953015330f, - 0.810457198252594770f, 0.585797857456438860f, 0.809557642404051260f, - 0.587040393520917970f, 0.808656181588174980f, 0.588281548222645220f, - 0.807752817926190360f, 0.589521318641063940f, 0.806847553543799330f, - 0.590759701858874160f, 0.805940390571176280f, 0.591996694962040990f, - 0.805031331142963660f, 0.593232295039799800f, 0.804120377398265810f, - 0.594466499184664430f, 0.803207531480644940f, 0.595699304492433360f, - 0.802292795538115720f, 0.596930708062196500f, 0.801376171723140240f, - 0.598160706996342270f, 0.800457662192622820f, 0.599389298400564540f, - 0.799537269107905010f, 0.600616479383868970f, 0.798614994634760820f, - 0.601842247058580030f, 0.797690840943391160f, 0.603066598540348160f, - 0.796764810208418830f, 0.604289530948155960f, 0.795836904608883570f, - 0.605511041404325550f, 0.794907126328237010f, 0.606731127034524480f, - 0.793975477554337170f, 0.607949784967773630f, 0.793041960479443640f, - 0.609167012336453210f, 0.792106577300212390f, 0.610382806276309480f, - 0.791169330217690200f, 0.611597163926461910f, 0.790230221437310030f, - 0.612810082429409710f, 0.789289253168885650f, 0.614021558931038380f, - 0.788346427626606340f, 0.615231590580626820f, 0.787401747029031430f, - 0.616440174530853650f, 0.786455213599085770f, 0.617647307937803870f, - 0.785506829564053930f, 0.618852987960976320f, 0.784556597155575240f, - 0.620057211763289100f, 0.783604518609638200f, 0.621259976511087550f, - 0.782650596166575730f, 0.622461279374149970f, 0.781694832071059390f, - 0.623661117525694530f, 0.780737228572094490f, 0.624859488142386340f, - 0.779777787923014550f, 0.626056388404343520f, 0.778816512381475980f, - 0.627251815495144080f, 0.777853404209453150f, 0.628445766601832710f, - 0.776888465673232440f, 0.629638238914926980f, 0.775921699043407690f, - 0.630829229628424470f, 0.774953106594873930f, 0.632018735939809060f, - 0.773982690606822900f, 0.633206755050057190f, 0.773010453362736990f, - 0.634393284163645490f, 0.772036397150384520f, 0.635578320488556110f, - 0.771060524261813820f, 0.636761861236284200f, 0.770082836993347900f, - 0.637943903621844060f, 0.769103337645579700f, 0.639124444863775730f, - 0.768122028523365420f, 0.640303482184151670f, 0.767138911935820400f, - 0.641481012808583160f, 0.766153990196312920f, 0.642657033966226860f, - 0.765167265622458960f, 0.643831542889791390f, 0.764178740536116670f, - 0.645004536815543930f, 0.763188417263381270f, 0.646176012983316280f, - 0.762196298134578900f, 0.647345968636512060f, 0.761202385484261780f, - 0.648514401022112440f, 0.760206681651202420f, 0.649681307390683190f, - 0.759209188978388070f, 0.650846684996380880f, 0.758209909813015280f, - 0.652010531096959500f, 0.757208846506484570f, 0.653172842953776760f, - 0.756206001414394540f, 0.654333617831800440f, 0.755201376896536550f, - 0.655492852999615350f, 0.754194975316889170f, 0.656650545729428940f, - 0.753186799043612520f, 0.657806693297078640f, 0.752176850449042810f, - 0.658961292982037320f, 0.751165131909686480f, 0.660114342067420480f, - 0.750151645806215070f, 0.661265837839992270f, 0.749136394523459370f, - 0.662415777590171780f, 0.748119380450403600f, 0.663564158612039770f, - 0.747100605980180130f, 0.664710978203344790f, 0.746080073510063780f, - 0.665856233665509720f, 0.745057785441466060f, 0.666999922303637470f, - 0.744033744179929290f, 0.668142041426518450f, 0.743007952135121720f, - 0.669282588346636010f, 0.741980411720831070f, 0.670421560380173090f, - 0.740951125354959110f, 0.671558954847018330f, 0.739920095459516200f, - 0.672694769070772860f, 0.738887324460615110f, 0.673829000378756040f, - 0.737852814788465980f, 0.674961646102011930f, 0.736816568877369900f, - 0.676092703575315920f, 0.735778589165713590f, 0.677222170137180330f, - 0.734738878095963500f, 0.678350043129861470f, 0.733697438114660370f, - 0.679476319899364970f, 0.732654271672412820f, 0.680600997795453020f, - 0.731609381223892630f, 0.681724074171649710f, 0.730562769227827590f, - 0.682845546385248080f, 0.729514438146997010f, 0.683965411797315400f, - 0.728464390448225200f, 0.685083667772700360f, 0.727412628602375770f, - 0.686200311680038590f, 0.726359155084346010f, 0.687315340891759050f, - 0.725303972373060770f, 0.688428752784090440f, 0.724247082951467000f, - 0.689540544737066830f, 0.723188489306527460f, 0.690650714134534600f, - 0.722128193929215350f, 0.691759258364157750f, 0.721066199314508110f, - 0.692866174817424630f, 0.720002507961381650f, 0.693971460889654000f, - 0.718937122372804490f, 0.695075113980000880f, 0.717870045055731710f, - 0.696177131491462990f, 0.716801278521099540f, 0.697277510830886520f, - 0.715730825283818590f, 0.698376249408972920f, 0.714658687862769090f, - 0.699473344640283770f, 0.713584868780793640f, 0.700568793943248340f, - 0.712509370564692320f, 0.701662594740168450f, 0.711432195745216430f, - 0.702754744457225300f, 0.710353346857062420f, 0.703845240524484940f, - 0.709272826438865690f, 0.704934080375904880f, 0.708190637033195400f, - 0.706021261449339740f, 0.707106781186547570f, 0.707106781186547460f, - 0.706021261449339740f, 0.708190637033195290f, 0.704934080375904990f, - 0.709272826438865580f, 0.703845240524484940f, 0.710353346857062310f, - 0.702754744457225300f, 0.711432195745216430f, 0.701662594740168570f, - 0.712509370564692320f, 0.700568793943248450f, 0.713584868780793520f, - 0.699473344640283770f, 0.714658687862768980f, 0.698376249408972920f, - 0.715730825283818590f, 0.697277510830886630f, 0.716801278521099540f, - 0.696177131491462990f, 0.717870045055731710f, 0.695075113980000880f, - 0.718937122372804380f, 0.693971460889654000f, 0.720002507961381650f, - 0.692866174817424740f, 0.721066199314508110f, 0.691759258364157750f, - 0.722128193929215350f, 0.690650714134534720f, 0.723188489306527350f, - 0.689540544737066940f, 0.724247082951466890f, 0.688428752784090550f, - 0.725303972373060660f, 0.687315340891759160f, 0.726359155084346010f, - 0.686200311680038700f, 0.727412628602375770f, 0.685083667772700360f, - 0.728464390448225200f, 0.683965411797315510f, 0.729514438146996900f, - 0.682845546385248080f, 0.730562769227827590f, 0.681724074171649820f, - 0.731609381223892520f, 0.680600997795453130f, 0.732654271672412820f, - 0.679476319899365080f, 0.733697438114660260f, 0.678350043129861580f, - 0.734738878095963390f, 0.677222170137180450f, 0.735778589165713480f, - 0.676092703575316030f, 0.736816568877369790f, 0.674961646102012040f, - 0.737852814788465980f, 0.673829000378756150f, 0.738887324460615110f, - 0.672694769070772970f, 0.739920095459516090f, 0.671558954847018330f, - 0.740951125354959110f, 0.670421560380173090f, 0.741980411720830960f, - 0.669282588346636010f, 0.743007952135121720f, 0.668142041426518560f, - 0.744033744179929180f, 0.666999922303637470f, 0.745057785441465950f, - 0.665856233665509720f, 0.746080073510063780f, 0.664710978203344900f, - 0.747100605980180130f, 0.663564158612039880f, 0.748119380450403490f, - 0.662415777590171780f, 0.749136394523459260f, 0.661265837839992270f, - 0.750151645806214960f, 0.660114342067420480f, 0.751165131909686370f, - 0.658961292982037320f, 0.752176850449042700f, 0.657806693297078640f, - 0.753186799043612410f, 0.656650545729429050f, 0.754194975316889170f, - 0.655492852999615460f, 0.755201376896536550f, 0.654333617831800550f, - 0.756206001414394540f, 0.653172842953776760f, 0.757208846506484460f, - 0.652010531096959500f, 0.758209909813015280f, 0.650846684996380990f, - 0.759209188978387960f, 0.649681307390683190f, 0.760206681651202420f, - 0.648514401022112550f, 0.761202385484261780f, 0.647345968636512060f, - 0.762196298134578900f, 0.646176012983316390f, 0.763188417263381270f, - 0.645004536815544040f, 0.764178740536116670f, 0.643831542889791500f, - 0.765167265622458960f, 0.642657033966226860f, 0.766153990196312810f, - 0.641481012808583160f, 0.767138911935820400f, 0.640303482184151670f, - 0.768122028523365310f, 0.639124444863775730f, 0.769103337645579590f, - 0.637943903621844170f, 0.770082836993347900f, 0.636761861236284200f, - 0.771060524261813710f, 0.635578320488556230f, 0.772036397150384410f, - 0.634393284163645490f, 0.773010453362736990f, 0.633206755050057190f, - 0.773982690606822790f, 0.632018735939809060f, 0.774953106594873820f, - 0.630829229628424470f, 0.775921699043407580f, 0.629638238914927100f, - 0.776888465673232440f, 0.628445766601832710f, 0.777853404209453040f, - 0.627251815495144190f, 0.778816512381475870f, 0.626056388404343520f, - 0.779777787923014440f, 0.624859488142386450f, 0.780737228572094380f, - 0.623661117525694640f, 0.781694832071059390f, 0.622461279374150080f, - 0.782650596166575730f, 0.621259976511087660f, 0.783604518609638200f, - 0.620057211763289210f, 0.784556597155575240f, 0.618852987960976320f, - 0.785506829564053930f, 0.617647307937803980f, 0.786455213599085770f, - 0.616440174530853650f, 0.787401747029031320f, 0.615231590580626820f, - 0.788346427626606230f, 0.614021558931038490f, 0.789289253168885650f, - 0.612810082429409710f, 0.790230221437310030f, 0.611597163926462020f, - 0.791169330217690090f, 0.610382806276309480f, 0.792106577300212390f, - 0.609167012336453210f, 0.793041960479443640f, 0.607949784967773740f, - 0.793975477554337170f, 0.606731127034524480f, 0.794907126328237010f, - 0.605511041404325550f, 0.795836904608883460f, 0.604289530948156070f, - 0.796764810208418720f, 0.603066598540348280f, 0.797690840943391040f, - 0.601842247058580030f, 0.798614994634760820f, 0.600616479383868970f, - 0.799537269107905010f, 0.599389298400564540f, 0.800457662192622710f, - 0.598160706996342380f, 0.801376171723140130f, 0.596930708062196500f, - 0.802292795538115720f, 0.595699304492433470f, 0.803207531480644830f, - 0.594466499184664540f, 0.804120377398265700f, 0.593232295039799800f, - 0.805031331142963660f, 0.591996694962040990f, 0.805940390571176280f, - 0.590759701858874280f, 0.806847553543799220f, 0.589521318641063940f, - 0.807752817926190360f, 0.588281548222645330f, 0.808656181588174980f, - 0.587040393520918080f, 0.809557642404051260f, 0.585797857456438860f, - 0.810457198252594770f, 0.584553942953015330f, 0.811354847017063730f, - 0.583308652937698290f, 0.812250586585203880f, 0.582061990340775550f, - 0.813144414849253590f, 0.580813958095764530f, 0.814036329705948300f, - 0.579564559139405740f, 0.814926329056526620f, 0.578313796411655590f, - 0.815814410806733780f, 0.577061672855679550f, 0.816700572866827850f, - 0.575808191417845340f, 0.817584813151583710f, 0.574553355047715760f, - 0.818467129580298660f, 0.573297166698042320f, 0.819347520076796900f, - 0.572039629324757050f, 0.820225982569434690f, 0.570780745886967370f, - 0.821102514991104650f, 0.569520519346947250f, 0.821977115279241550f, - 0.568258952670131490f, 0.822849781375826320f, 0.566996048825108680f, - 0.823720511227391320f, 0.565731810783613230f, 0.824589302785025290f, - 0.564466241520519500f, 0.825456154004377440f, 0.563199344013834090f, - 0.826321062845663420f, 0.561931121244689470f, 0.827184027273669020f, - 0.560661576197336030f, 0.828045045257755800f, 0.559390711859136140f, - 0.828904114771864870f, 0.558118531220556100f, 0.829761233794523050f, - 0.556845037275160100f, 0.830616400308846200f, 0.555570233019602290f, - 0.831469612302545240f, 0.554294121453620110f, 0.832320867767929680f, - 0.553016705580027580f, 0.833170164701913190f, 0.551737988404707450f, - 0.834017501106018130f, 0.550457972936604810f, 0.834862874986380010f, - 0.549176662187719770f, 0.835706284353752600f, 0.547894059173100190f, - 0.836547727223511890f, 0.546610166910834860f, 0.837387201615661940f, - 0.545324988422046460f, 0.838224705554837970f, 0.544038526730883930f, - 0.839060237070312630f, 0.542750784864516000f, 0.839893794195999410f, - 0.541461765853123560f, 0.840725374970458070f, 0.540171472729892970f, - 0.841554977436898330f, 0.538879908531008420f, 0.842382599643185960f, - 0.537587076295645510f, 0.843208239641845440f, 0.536292979065963180f, - 0.844031895490066410f, 0.534997619887097260f, 0.844853565249707010f, - 0.533701001807152960f, 0.845673246987299070f, 0.532403127877198010f, - 0.846490938774052020f, 0.531104001151255000f, 0.847306638685858320f, - 0.529803624686294830f, 0.848120344803297120f, 0.528502001542228480f, - 0.848932055211639610f, 0.527199134781901390f, 0.849741768000852440f, - 0.525895027471084740f, 0.850549481265603370f, 0.524589682678468840f, - 0.851355193105265200f, 0.523283103475656430f, 0.852158901623919830f, - 0.521975292937154390f, 0.852960604930363630f, 0.520666254140367270f, - 0.853760301138111300f, 0.519355990165589530f, 0.854557988365400530f, - 0.518044504095999340f, 0.855353664735196030f, 0.516731799017649980f, - 0.856147328375194470f, 0.515417878019463150f, 0.856938977417828650f, - 0.514102744193221660f, 0.857728610000272120f, 0.512786400633563070f, - 0.858516224264442740f, 0.511468850437970520f, 0.859301818357008360f, - 0.510150096706766700f, 0.860085390429390140f, 0.508830142543106990f, - 0.860866938637767310f, 0.507508991052970870f, 0.861646461143081300f, - 0.506186645345155450f, 0.862423956111040500f, 0.504863108531267480f, - 0.863199421712124160f, 0.503538383725717580f, 0.863972856121586700f, - 0.502212474045710900f, 0.864744257519462380f, 0.500885382611240940f, - 0.865513624090568980f, 0.499557112545081890f, 0.866280954024512990f, - 0.498227666972781870f, 0.867046245515692650f, 0.496897049022654640f, - 0.867809496763303210f, 0.495565261825772490f, 0.868570705971340900f, - 0.494232308515959730f, 0.869329871348606730f, 0.492898192229784090f, - 0.870086991108711350f, 0.491562916106550060f, 0.870842063470078860f, - 0.490226483288291100f, 0.871595086655951090f, 0.488888896919763230f, - 0.872346058894391540f, 0.487550160148436050f, 0.873094978418290090f, - 0.486210276124486530f, 0.873841843465366750f, 0.484869248000791120f, - 0.874586652278176110f, 0.483527078932918740f, 0.875329403104110780f, - 0.482183772079122830f, 0.876070094195406600f, 0.480839330600333900f, - 0.876808723809145760f, 0.479493757660153010f, 0.877545290207261240f, - 0.478147056424843120f, 0.878279791656541460f, 0.476799230063322250f, - 0.879012226428633410f, 0.475450281747155870f, 0.879742592800047410f, - 0.474100214650550020f, 0.880470889052160750f, 0.472749031950342900f, - 0.881197113471221980f, 0.471396736825997810f, 0.881921264348354940f, - 0.470043332459595620f, 0.882643339979562790f, 0.468688822035827960f, - 0.883363338665731580f, 0.467333208741988530f, 0.884081258712634990f, - 0.465976495767966130f, 0.884797098430937790f, 0.464618686306237820f, - 0.885510856136199950f, 0.463259783551860260f, 0.886222530148880640f, - 0.461899790702462840f, 0.886932118794342080f, 0.460538710958240010f, - 0.887639620402853930f, 0.459176547521944150f, 0.888345033309596240f, - 0.457813303598877290f, 0.889048355854664570f, 0.456448982396883860f, - 0.889749586383072890f, 0.455083587126343840f, 0.890448723244757880f, - 0.453717121000163930f, 0.891145764794583180f, 0.452349587233771000f, - 0.891840709392342720f, 0.450980989045103810f, 0.892533555402764690f, - 0.449611329654606600f, 0.893224301195515320f, 0.448240612285220000f, - 0.893912945145203250f, 0.446868840162374330f, 0.894599485631382580f, - 0.445496016513981740f, 0.895283921038557580f, 0.444122144570429260f, - 0.895966249756185110f, 0.442747227564570130f, 0.896646470178680150f, - 0.441371268731716620f, 0.897324580705418320f, 0.439994271309633260f, - 0.898000579740739880f, 0.438616238538527710f, 0.898674465693953820f, - 0.437237173661044200f, 0.899346236979341460f, 0.435857079922255470f, - 0.900015892016160280f, 0.434475960569655710f, 0.900683429228646860f, - 0.433093818853152010f, 0.901348847046022030f, 0.431710658025057370f, - 0.902012143902493070f, 0.430326481340082610f, 0.902673318237258830f, - 0.428941292055329550f, 0.903332368494511820f, 0.427555093430282200f, - 0.903989293123443340f, 0.426167888726799620f, 0.904644090578246240f, - 0.424779681209108810f, 0.905296759318118820f, 0.423390474143796100f, - 0.905947297807268460f, 0.422000270799799790f, 0.906595704514915330f, - 0.420609074448402510f, 0.907241977915295930f, 0.419216888363223960f, - 0.907886116487666150f, 0.417823715820212380f, 0.908528118716306120f, - 0.416429560097637320f, 0.909167983090522270f, 0.415034424476081630f, - 0.909805708104652220f, 0.413638312238434560f, 0.910441292258067140f, - 0.412241226669883000f, 0.911074734055176250f, 0.410843171057903910f, - 0.911706032005429880f, 0.409444148692257590f, 0.912335184623322750f, - 0.408044162864978740f, 0.912962190428398100f, 0.406643216870369140f, - 0.913587047945250810f, 0.405241314004989860f, 0.914209755703530690f, - 0.403838457567654130f, 0.914830312237946090f, 0.402434650859418540f, - 0.915448716088267830f, 0.401029897183575790f, 0.916064965799331610f, - 0.399624199845646790f, 0.916679059921042700f, 0.398217562153373620f, - 0.917290997008377910f, 0.396809987416710420f, 0.917900775621390390f, - 0.395401478947816300f, 0.918508394325212250f, 0.393992040061048100f, - 0.919113851690057770f, 0.392581674072951530f, 0.919717146291227360f, - 0.391170384302253980f, 0.920318276709110480f, 0.389758174069856410f, - 0.920917241529189520f, 0.388345046698826300f, 0.921514039342041900f, - 0.386931005514388690f, 0.922108668743345070f, 0.385516053843919020f, - 0.922701128333878520f, 0.384100195016935040f, 0.923291416719527640f, - 0.382683432365089840f, 0.923879532511286740f, 0.381265769222162490f, - 0.924465474325262600f, 0.379847208924051110f, 0.925049240782677580f, - 0.378427754808765620f, 0.925630830509872720f, 0.377007410216418310f, - 0.926210242138311270f, 0.375586178489217330f, 0.926787474304581750f, - 0.374164062971457990f, 0.927362525650401110f, 0.372741067009515810f, - 0.927935394822617890f, 0.371317193951837600f, 0.928506080473215480f, - 0.369892447148934270f, 0.929074581259315750f, 0.368466829953372320f, - 0.929640895843181330f, 0.367040345719767240f, 0.930205022892219070f, - 0.365612997804773960f, 0.930766961078983710f, 0.364184789567079840f, - 0.931326709081180430f, 0.362755724367397230f, 0.931884265581668150f, - 0.361325805568454340f, 0.932439629268462360f, 0.359895036534988280f, - 0.932992798834738850f, 0.358463420633736540f, 0.933543772978836170f, - 0.357030961233430030f, 0.934092550404258870f, 0.355597661704783960f, - 0.934639129819680780f, 0.354163525420490510f, 0.935183509938947500f, - 0.352728555755210730f, 0.935725689481080370f, 0.351292756085567150f, - 0.936265667170278260f, 0.349856129790135030f, 0.936803441735921560f, - 0.348418680249434510f, 0.937339011912574960f, 0.346980410845923680f, - 0.937872376439989890f, 0.345541324963989150f, 0.938403534063108060f, - 0.344101425989938980f, 0.938932483532064490f, 0.342660717311994380f, - 0.939459223602189920f, 0.341219202320282410f, 0.939983753034013940f, - 0.339776884406826960f, 0.940506070593268300f, 0.338333766965541290f, - 0.941026175050889260f, 0.336889853392220050f, 0.941544065183020810f, - 0.335445147084531660f, 0.942059739771017310f, 0.333999651442009490f, - 0.942573197601446870f, 0.332553369866044220f, 0.943084437466093490f, - 0.331106305759876430f, 0.943593458161960390f, 0.329658462528587550f, - 0.944100258491272660f, 0.328209843579092660f, 0.944604837261480260f, - 0.326760452320131790f, 0.945107193285260610f, 0.325310292162262980f, - 0.945607325380521280f, 0.323859366517852960f, 0.946105232370403340f, - 0.322407678801070020f, 0.946600913083283530f, 0.320955232427875210f, - 0.947094366352777220f, 0.319502030816015750f, 0.947585591017741090f, - 0.318048077385015060f, 0.948074585922276230f, 0.316593375556165850f, - 0.948561349915730270f, 0.315137928752522440f, 0.949045881852700560f, - 0.313681740398891570f, 0.949528180593036670f, 0.312224813921825050f, - 0.950008245001843000f, 0.310767152749611470f, 0.950486073949481700f, - 0.309308760312268780f, 0.950961666311575080f, 0.307849640041534980f, - 0.951435020969008340f, 0.306389795370861080f, 0.951906136807932230f, - 0.304929229735402430f, 0.952375012719765880f, 0.303467946572011370f, - 0.952841647601198720f, 0.302005949319228200f, 0.953306040354193750f, - 0.300543241417273400f, 0.953768189885990330f, 0.299079826308040480f, - 0.954228095109105670f, 0.297615707435086310f, 0.954685754941338340f, - 0.296150888243623960f, 0.955141168305770670f, 0.294685372180514330f, - 0.955594334130771110f, 0.293219162694258680f, 0.956045251349996410f, - 0.291752263234989370f, 0.956493918902394990f, 0.290284677254462330f, - 0.956940335732208940f, 0.288816408206049480f, 0.957384500788975860f, - 0.287347459544729570f, 0.957826413027532910f, 0.285877834727080730f, - 0.958266071408017670f, 0.284407537211271820f, 0.958703474895871600f, - 0.282936570457055390f, 0.959138622461841890f, 0.281464937925758050f, - 0.959571513081984520f, 0.279992643080273380f, 0.960002145737665850f, - 0.278519689385053060f, 0.960430519415565790f, 0.277046080306099950f, - 0.960856633107679660f, 0.275571819310958250f, 0.961280485811320640f, - 0.274096909868706330f, 0.961702076529122540f, 0.272621355449948980f, - 0.962121404269041580f, 0.271145159526808070f, 0.962538468044359160f, - 0.269668325572915200f, 0.962953266873683880f, 0.268190857063403180f, - 0.963365799780954050f, 0.266712757474898420f, 0.963776065795439840f, - 0.265234030285511900f, 0.964184063951745720f, 0.263754678974831510f, - 0.964589793289812650f, 0.262274707023913590f, 0.964993252854920320f, - 0.260794117915275570f, 0.965394441697689400f, 0.259312915132886350f, - 0.965793358874083570f, 0.257831102162158930f, 0.966190003445412620f, - 0.256348682489942910f, 0.966584374478333120f, 0.254865659604514630f, - 0.966976471044852070f, 0.253382036995570270f, 0.967366292222328510f, - 0.251897818154216910f, 0.967753837093475510f, 0.250413006572965280f, - 0.968139104746362330f, 0.248927605745720260f, 0.968522094274417270f, - 0.247441619167773440f, 0.968902804776428870f, 0.245955050335794590f, - 0.969281235356548530f, 0.244467902747824210f, 0.969657385124292450f, - 0.242980179903263980f, 0.970031253194543970f, 0.241491885302869300f, - 0.970402838687555500f, 0.240003022448741500f, 0.970772140728950350f, - 0.238513594844318500f, 0.971139158449725090f, 0.237023605994367340f, - 0.971503890986251780f, 0.235533059404975460f, 0.971866337480279400f, - 0.234041958583543460f, 0.972226497078936270f, 0.232550307038775330f, - 0.972584368934732210f, 0.231058108280671280f, 0.972939952205560070f, - 0.229565365820518870f, 0.973293246054698250f, 0.228072083170885790f, - 0.973644249650811870f, 0.226578263845610110f, 0.973992962167955830f, - 0.225083911359792780f, 0.974339382785575860f, 0.223589029229790020f, - 0.974683510688510670f, 0.222093620973203590f, 0.975025345066994120f, - 0.220597690108873650f, 0.975364885116656870f, 0.219101240156869770f, - 0.975702130038528570f, 0.217604274638483670f, 0.976037079039039020f, - 0.216106797076219600f, 0.976369731330021140f, 0.214608810993786920f, - 0.976700086128711840f, 0.213110319916091360f, 0.977028142657754390f, - 0.211611327369227610f, 0.977353900145199960f, 0.210111836880469720f, - 0.977677357824509930f, 0.208611851978263460f, 0.977998514934557140f, - 0.207111376192218560f, 0.978317370719627650f, 0.205610413053099320f, - 0.978633924429423100f, 0.204108966092817010f, 0.978948175319062200f, - 0.202607038844421110f, 0.979260122649082020f, 0.201104634842091960f, - 0.979569765685440520f, 0.199601757621131050f, 0.979877103699517640f, - 0.198098410717953730f, 0.980182135968117320f, 0.196594597670080220f, - 0.980484861773469380f, 0.195090322016128330f, 0.980785280403230430f, - 0.193585587295803750f, 0.981083391150486590f, 0.192080397049892380f, - 0.981379193313754560f, 0.190574754820252800f, 0.981672686196983110f, - 0.189068664149806280f, 0.981963869109555240f, 0.187562128582529740f, - 0.982252741366289370f, 0.186055151663446630f, 0.982539302287441240f, - 0.184547736938619640f, 0.982823551198705240f, 0.183039887955141060f, - 0.983105487431216290f, 0.181531608261125130f, 0.983385110321551180f, - 0.180022901405699510f, 0.983662419211730250f, 0.178513770938997590f, - 0.983937413449218920f, 0.177004220412148860f, 0.984210092386929030f, - 0.175494253377271400f, 0.984480455383220930f, 0.173983873387463850f, - 0.984748501801904210f, 0.172473083996796030f, 0.985014231012239840f, - 0.170961888760301360f, 0.985277642388941220f, 0.169450291233967930f, - 0.985538735312176060f, 0.167938294974731230f, 0.985797509167567370f, - 0.166425903540464220f, 0.986053963346195440f, 0.164913120489970090f, - 0.986308097244598670f, 0.163399949382973230f, 0.986559910264775410f, - 0.161886393780111910f, 0.986809401814185420f, 0.160372457242928400f, - 0.987056571305750970f, 0.158858143333861390f, 0.987301418157858430f, - 0.157343455616238280f, 0.987543941794359230f, 0.155828397654265320f, - 0.987784141644572180f, 0.154312973013020240f, 0.988022017143283530f, - 0.152797185258443410f, 0.988257567730749460f, 0.151281037957330250f, - 0.988490792852696590f, 0.149764534677321620f, 0.988721691960323780f, - 0.148247678986896200f, 0.988950264510302990f, 0.146730474455361750f, - 0.989176509964781010f, 0.145212924652847520f, 0.989400427791380380f, - 0.143695033150294580f, 0.989622017463200780f, 0.142176803519448000f, - 0.989841278458820530f, 0.140658239332849240f, 0.990058210262297120f, - 0.139139344163826280f, 0.990272812363169110f, 0.137620121586486180f, - 0.990485084256456980f, 0.136100575175706200f, 0.990695025442664630f, - 0.134580708507126220f, 0.990902635427780010f, 0.133060525157139180f, - 0.991107913723276780f, 0.131540028702883280f, 0.991310859846115440f, - 0.130019222722233350f, 0.991511473318743900f, 0.128498110793793220f, - 0.991709753669099530f, 0.126976696496885980f, 0.991905700430609330f, - 0.125454983411546210f, 0.992099313142191800f, 0.123932975118512200f, - 0.992290591348257370f, 0.122410675199216280f, 0.992479534598709970f, - 0.120888087235777220f, 0.992666142448948020f, 0.119365214810991350f, - 0.992850414459865100f, 0.117842061508325020f, 0.993032350197851410f, - 0.116318630911904880f, 0.993211949234794500f, 0.114794926606510250f, - 0.993389211148080650f, 0.113270952177564360f, 0.993564135520595300f, - 0.111746711211126660f, 0.993736721940724600f, 0.110222207293883180f, - 0.993906970002356060f, 0.108697444013138670f, 0.994074879304879370f, - 0.107172424956808870f, 0.994240449453187900f, 0.105647153713410700f, - 0.994403680057679100f, 0.104121633872054730f, 0.994564570734255420f, - 0.102595869022436280f, 0.994723121104325700f, 0.101069862754827880f, - 0.994879330794805620f, 0.099543618660069444f, 0.995033199438118630f, - 0.098017140329560770f, 0.995184726672196820f, 0.096490431355252607f, - 0.995333912140482280f, 0.094963495329639061f, 0.995480755491926940f, - 0.093436335845747912f, 0.995625256380994310f, 0.091908956497132696f, - 0.995767414467659820f, 0.090381360877865011f, 0.995907229417411720f, - 0.088853552582524684f, 0.996044700901251970f, 0.087325535206192226f, - 0.996179828595696870f, 0.085797312344439880f, 0.996312612182778000f, - 0.084268887593324127f, 0.996443051350042630f, 0.082740264549375803f, - 0.996571145790554840f, 0.081211446809592386f, 0.996696895202896060f, - 0.079682437971430126f, 0.996820299291165670f, 0.078153241632794315f, - 0.996941357764982160f, 0.076623861392031617f, 0.997060070339482960f, - 0.075094300847921291f, 0.997176436735326190f, 0.073564563599667454f, - 0.997290456678690210f, 0.072034653246889416f, 0.997402129901275300f, - 0.070504573389614009f, 0.997511456140303450f, 0.068974327628266732f, - 0.997618435138519550f, 0.067443919563664106f, 0.997723066644191640f, - 0.065913352797003930f, 0.997825350411111640f, 0.064382630929857410f, - 0.997925286198596000f, 0.062851757564161420f, 0.998022873771486240f, - 0.061320736302208648f, 0.998118112900149180f, 0.059789570746640007f, - 0.998211003360478190f, 0.058258264500435732f, 0.998301544933892890f, - 0.056726821166907783f, 0.998389737407340160f, 0.055195244349690031f, - 0.998475580573294770f, 0.053663537652730679f, 0.998559074229759310f, - 0.052131704680283317f, 0.998640218180265270f, 0.050599749036899337f, - 0.998719012233872940f, 0.049067674327418126f, 0.998795456205172410f, - 0.047535484156959261f, 0.998869549914283560f, 0.046003182130914644f, - 0.998941293186856870f, 0.044470771854938744f, 0.999010685854073380f, - 0.042938256934940959f, 0.999077727752645360f, 0.041405640977076712f, - 0.999142418724816910f, 0.039872927587739845f, 0.999204758618363890f, - 0.038340120373552791f, 0.999264747286594420f, 0.036807222941358991f, - 0.999322384588349540f, 0.035274238898213947f, 0.999377670388002850f, - 0.033741171851377642f, 0.999430604555461730f, 0.032208025408304704f, - 0.999481186966166950f, 0.030674803176636581f, 0.999529417501093140f, - 0.029141508764193740f, 0.999575296046749220f, 0.027608145778965820f, - 0.999618822495178640f, 0.026074717829104040f, 0.999659996743959220f, - 0.024541228522912264f, 0.999698818696204250f, 0.023007681468839410f, - 0.999735288260561680f, 0.021474080275469605f, 0.999769405351215280f, - 0.019940428551514598f, 0.999801169887884260f, 0.018406729905804820f, - 0.999830581795823400f, 0.016872987947281773f, 0.999857641005823860f, - 0.015339206284988220f, 0.999882347454212560f, 0.013805388528060349f, - 0.999904701082852900f, 0.012271538285719944f, 0.999924701839144500f, - 0.010737659167264572f, 0.999942349676023910f, 0.009203754782059960f, - 0.999957644551963900f, 0.007669828739531077f, 0.999970586430974140f, - 0.006135884649154515f, 0.999981175282601110f, 0.004601926120448672f, - 0.999989411081928400f, 0.003067956762966138f, 0.999995293809576190f, - 0.001533980186284766f, 0.999998823451701880f, 0.000000000000000061f, - 1.000000000000000000f, -0.001533980186284644f, 0.999998823451701880f, - -0.003067956762966016f, 0.999995293809576190f, -0.004601926120448550f, - 0.999989411081928400f, -0.006135884649154393f, 0.999981175282601110f, - -0.007669828739530955f, 0.999970586430974140f, -0.009203754782059837f, - 0.999957644551963900f, -0.010737659167264449f, 0.999942349676023910f, - -0.012271538285719823f, 0.999924701839144500f, -0.013805388528060226f, - 0.999904701082852900f, -0.015339206284988098f, 0.999882347454212560f, - -0.016872987947281651f, 0.999857641005823860f, -0.018406729905804695f, - 0.999830581795823400f, -0.019940428551514476f, 0.999801169887884260f, - -0.021474080275469484f, 0.999769405351215280f, -0.023007681468839289f, - 0.999735288260561680f, -0.024541228522912142f, 0.999698818696204250f, - -0.026074717829103915f, 0.999659996743959220f, -0.027608145778965698f, - 0.999618822495178640f, -0.029141508764193618f, 0.999575296046749220f, - -0.030674803176636459f, 0.999529417501093140f, -0.032208025408304579f, - 0.999481186966166950f, -0.033741171851377517f, 0.999430604555461730f, - -0.035274238898213822f, 0.999377670388002850f, -0.036807222941358866f, - 0.999322384588349540f, -0.038340120373552666f, 0.999264747286594420f, - -0.039872927587739727f, 0.999204758618363890f, -0.041405640977076594f, - 0.999142418724816910f, -0.042938256934940834f, 0.999077727752645360f, - -0.044470771854938619f, 0.999010685854073380f, -0.046003182130914519f, - 0.998941293186856870f, -0.047535484156959136f, 0.998869549914283560f, - -0.049067674327418008f, 0.998795456205172410f, -0.050599749036899212f, - 0.998719012233872940f, -0.052131704680283192f, 0.998640218180265270f, - -0.053663537652730554f, 0.998559074229759310f, -0.055195244349689913f, - 0.998475580573294770f, -0.056726821166907658f, 0.998389737407340160f, - -0.058258264500435607f, 0.998301544933892890f, -0.059789570746639882f, - 0.998211003360478190f, -0.061320736302208530f, 0.998118112900149180f, - -0.062851757564161309f, 0.998022873771486240f, -0.064382630929857285f, - 0.997925286198596000f, -0.065913352797003805f, 0.997825350411111640f, - -0.067443919563663982f, 0.997723066644191640f, -0.068974327628266607f, - 0.997618435138519550f, -0.070504573389613898f, 0.997511456140303450f, - -0.072034653246889291f, 0.997402129901275300f, -0.073564563599667329f, - 0.997290456678690210f, -0.075094300847921167f, 0.997176436735326190f, - -0.076623861392031506f, 0.997060070339482960f, -0.078153241632794190f, - 0.996941357764982160f, -0.079682437971430015f, 0.996820299291165780f, - -0.081211446809592261f, 0.996696895202896060f, -0.082740264549375678f, - 0.996571145790554840f, -0.084268887593324002f, 0.996443051350042630f, - -0.085797312344439755f, 0.996312612182778000f, -0.087325535206192101f, - 0.996179828595696870f, -0.088853552582524559f, 0.996044700901251970f, - -0.090381360877864886f, 0.995907229417411720f, -0.091908956497132571f, - 0.995767414467659820f, -0.093436335845747787f, 0.995625256380994310f, - -0.094963495329638950f, 0.995480755491926940f, -0.096490431355252482f, - 0.995333912140482280f, -0.098017140329560645f, 0.995184726672196930f, - -0.099543618660069319f, 0.995033199438118630f, -0.101069862754827750f, - 0.994879330794805620f, -0.102595869022436160f, 0.994723121104325700f, - -0.104121633872054600f, 0.994564570734255420f, -0.105647153713410570f, - 0.994403680057679100f, -0.107172424956808760f, 0.994240449453187900f, - -0.108697444013138560f, 0.994074879304879480f, -0.110222207293883060f, - 0.993906970002356060f, -0.111746711211126550f, 0.993736721940724600f, - -0.113270952177564240f, 0.993564135520595300f, -0.114794926606510130f, - 0.993389211148080650f, -0.116318630911904750f, 0.993211949234794500f, - -0.117842061508324890f, 0.993032350197851410f, -0.119365214810991230f, - 0.992850414459865100f, -0.120888087235777100f, 0.992666142448948020f, - -0.122410675199216150f, 0.992479534598709970f, -0.123932975118512080f, - 0.992290591348257370f, -0.125454983411546070f, 0.992099313142191800f, - -0.126976696496885870f, 0.991905700430609330f, -0.128498110793793110f, - 0.991709753669099530f, -0.130019222722233240f, 0.991511473318744010f, - -0.131540028702883140f, 0.991310859846115440f, -0.133060525157139040f, - 0.991107913723276890f, -0.134580708507126110f, 0.990902635427780010f, - -0.136100575175706060f, 0.990695025442664630f, -0.137620121586486070f, - 0.990485084256456980f, -0.139139344163826170f, 0.990272812363169110f, - -0.140658239332849130f, 0.990058210262297120f, -0.142176803519447890f, - 0.989841278458820530f, -0.143695033150294440f, 0.989622017463200890f, - -0.145212924652847410f, 0.989400427791380380f, -0.146730474455361640f, - 0.989176509964781010f, -0.148247678986896090f, 0.988950264510302990f, - -0.149764534677321510f, 0.988721691960323780f, -0.151281037957330140f, - 0.988490792852696700f, -0.152797185258443300f, 0.988257567730749460f, - -0.154312973013020130f, 0.988022017143283530f, -0.155828397654265200f, - 0.987784141644572180f, -0.157343455616238160f, 0.987543941794359340f, - -0.158858143333861280f, 0.987301418157858430f, -0.160372457242928260f, - 0.987056571305750970f, -0.161886393780111770f, 0.986809401814185530f, - -0.163399949382973110f, 0.986559910264775520f, -0.164913120489969950f, - 0.986308097244598670f, -0.166425903540464100f, 0.986053963346195440f, - -0.167938294974731090f, 0.985797509167567480f, -0.169450291233967820f, - 0.985538735312176060f, -0.170961888760301240f, 0.985277642388941220f, - -0.172473083996795920f, 0.985014231012239840f, -0.173983873387463710f, - 0.984748501801904210f, -0.175494253377271260f, 0.984480455383220930f, - -0.177004220412148750f, 0.984210092386929030f, -0.178513770938997450f, - 0.983937413449218920f, -0.180022901405699400f, 0.983662419211730250f, - -0.181531608261125020f, 0.983385110321551180f, -0.183039887955140920f, - 0.983105487431216290f, -0.184547736938619530f, 0.982823551198705350f, - -0.186055151663446490f, 0.982539302287441240f, -0.187562128582529600f, - 0.982252741366289370f, -0.189068664149806160f, 0.981963869109555240f, - -0.190574754820252660f, 0.981672686196983110f, -0.192080397049892270f, - 0.981379193313754560f, -0.193585587295803610f, 0.981083391150486710f, - -0.195090322016128190f, 0.980785280403230430f, -0.196594597670080110f, - 0.980484861773469380f, -0.198098410717953620f, 0.980182135968117430f, - -0.199601757621130940f, 0.979877103699517640f, -0.201104634842091820f, - 0.979569765685440520f, -0.202607038844420970f, 0.979260122649082130f, - -0.204108966092816900f, 0.978948175319062200f, -0.205610413053099210f, - 0.978633924429423210f, -0.207111376192218450f, 0.978317370719627650f, - -0.208611851978263320f, 0.977998514934557140f, -0.210111836880469610f, - 0.977677357824509930f, -0.211611327369227500f, 0.977353900145200070f, - -0.213110319916091250f, 0.977028142657754390f, -0.214608810993786810f, - 0.976700086128711840f, -0.216106797076219490f, 0.976369731330021140f, - -0.217604274638483560f, 0.976037079039039130f, -0.219101240156869660f, - 0.975702130038528570f, -0.220597690108873530f, 0.975364885116656980f, - -0.222093620973203480f, 0.975025345066994120f, -0.223589029229789880f, - 0.974683510688510670f, -0.225083911359792670f, 0.974339382785575860f, - -0.226578263845610000f, 0.973992962167955830f, -0.228072083170885680f, - 0.973644249650811980f, -0.229565365820518760f, 0.973293246054698250f, - -0.231058108280671140f, 0.972939952205560180f, -0.232550307038775220f, - 0.972584368934732210f, -0.234041958583543320f, 0.972226497078936380f, - -0.235533059404975350f, 0.971866337480279400f, -0.237023605994367230f, - 0.971503890986251780f, -0.238513594844318390f, 0.971139158449725090f, - -0.240003022448741390f, 0.970772140728950350f, -0.241491885302869160f, - 0.970402838687555500f, -0.242980179903263870f, 0.970031253194543970f, - -0.244467902747824100f, 0.969657385124292450f, -0.245955050335794480f, - 0.969281235356548530f, -0.247441619167773320f, 0.968902804776428870f, - -0.248927605745720120f, 0.968522094274417380f, -0.250413006572965170f, - 0.968139104746362440f, -0.251897818154216800f, 0.967753837093475510f, - -0.253382036995570160f, 0.967366292222328510f, -0.254865659604514520f, - 0.966976471044852070f, -0.256348682489942800f, 0.966584374478333120f, - -0.257831102162158820f, 0.966190003445412620f, -0.259312915132886230f, - 0.965793358874083680f, -0.260794117915275460f, 0.965394441697689400f, - -0.262274707023913480f, 0.964993252854920440f, -0.263754678974831400f, - 0.964589793289812760f, -0.265234030285511790f, 0.964184063951745830f, - -0.266712757474898310f, 0.963776065795439840f, -0.268190857063403010f, - 0.963365799780954050f, -0.269668325572915090f, 0.962953266873683880f, - -0.271145159526807960f, 0.962538468044359160f, -0.272621355449948870f, - 0.962121404269041580f, -0.274096909868706220f, 0.961702076529122540f, - -0.275571819310958140f, 0.961280485811320640f, -0.277046080306099840f, - 0.960856633107679660f, -0.278519689385052950f, 0.960430519415565900f, - -0.279992643080273270f, 0.960002145737665850f, -0.281464937925757940f, - 0.959571513081984520f, -0.282936570457055280f, 0.959138622461842010f, - -0.284407537211271710f, 0.958703474895871600f, -0.285877834727080620f, - 0.958266071408017670f, -0.287347459544729460f, 0.957826413027532910f, - -0.288816408206049370f, 0.957384500788975970f, -0.290284677254462160f, - 0.956940335732208940f, -0.291752263234989260f, 0.956493918902395100f, - -0.293219162694258570f, 0.956045251349996520f, -0.294685372180514220f, - 0.955594334130771110f, -0.296150888243623840f, 0.955141168305770670f, - -0.297615707435086200f, 0.954685754941338340f, -0.299079826308040360f, - 0.954228095109105670f, -0.300543241417273290f, 0.953768189885990330f, - -0.302005949319228080f, 0.953306040354193860f, -0.303467946572011260f, - 0.952841647601198720f, -0.304929229735402260f, 0.952375012719765880f, - -0.306389795370860970f, 0.951906136807932350f, -0.307849640041534870f, - 0.951435020969008340f, -0.309308760312268620f, 0.950961666311575080f, - -0.310767152749611360f, 0.950486073949481810f, -0.312224813921824940f, - 0.950008245001843000f, -0.313681740398891410f, 0.949528180593036670f, - -0.315137928752522330f, 0.949045881852700670f, -0.316593375556165730f, - 0.948561349915730380f, -0.318048077385014950f, 0.948074585922276230f, - -0.319502030816015640f, 0.947585591017741200f, -0.320955232427875100f, - 0.947094366352777220f, -0.322407678801069850f, 0.946600913083283530f, - -0.323859366517852850f, 0.946105232370403450f, -0.325310292162262870f, - 0.945607325380521390f, -0.326760452320131620f, 0.945107193285260610f, - -0.328209843579092550f, 0.944604837261480260f, -0.329658462528587440f, - 0.944100258491272660f, -0.331106305759876320f, 0.943593458161960390f, - -0.332553369866044060f, 0.943084437466093490f, -0.333999651442009380f, - 0.942573197601446870f, -0.335445147084531550f, 0.942059739771017420f, - -0.336889853392219940f, 0.941544065183020810f, -0.338333766965541180f, - 0.941026175050889260f, -0.339776884406826850f, 0.940506070593268300f, - -0.341219202320282300f, 0.939983753034014050f, -0.342660717311994270f, - 0.939459223602189920f, -0.344101425989938870f, 0.938932483532064490f, - -0.345541324963989040f, 0.938403534063108170f, -0.346980410845923570f, - 0.937872376439989890f, -0.348418680249434400f, 0.937339011912574960f, - -0.349856129790134920f, 0.936803441735921560f, -0.351292756085567040f, - 0.936265667170278260f, -0.352728555755210620f, 0.935725689481080370f, - -0.354163525420490400f, 0.935183509938947610f, -0.355597661704783850f, - 0.934639129819680780f, -0.357030961233429920f, 0.934092550404258980f, - -0.358463420633736430f, 0.933543772978836280f, -0.359895036534988170f, - 0.932992798834738850f, -0.361325805568454230f, 0.932439629268462360f, - -0.362755724367397110f, 0.931884265581668150f, -0.364184789567079730f, - 0.931326709081180540f, -0.365612997804773850f, 0.930766961078983710f, - -0.367040345719767120f, 0.930205022892219070f, -0.368466829953372210f, - 0.929640895843181330f, -0.369892447148934160f, 0.929074581259315750f, - -0.371317193951837490f, 0.928506080473215590f, -0.372741067009515700f, - 0.927935394822617890f, -0.374164062971457880f, 0.927362525650401110f, - -0.375586178489217220f, 0.926787474304581750f, -0.377007410216418200f, - 0.926210242138311380f, -0.378427754808765450f, 0.925630830509872830f, - -0.379847208924050990f, 0.925049240782677700f, -0.381265769222162380f, - 0.924465474325262600f, -0.382683432365089730f, 0.923879532511286740f, - -0.384100195016934930f, 0.923291416719527750f, -0.385516053843918900f, - 0.922701128333878520f, -0.386931005514388580f, 0.922108668743345180f, - -0.388345046698826190f, 0.921514039342042010f, -0.389758174069856300f, - 0.920917241529189520f, -0.391170384302253870f, 0.920318276709110590f, - -0.392581674072951410f, 0.919717146291227360f, -0.393992040061047990f, - 0.919113851690057770f, -0.395401478947816190f, 0.918508394325212250f, - -0.396809987416710310f, 0.917900775621390500f, -0.398217562153373510f, - 0.917290997008378020f, -0.399624199845646680f, 0.916679059921042700f, - -0.401029897183575680f, 0.916064965799331720f, -0.402434650859418430f, - 0.915448716088267830f, -0.403838457567654020f, 0.914830312237946200f, - -0.405241314004989750f, 0.914209755703530690f, -0.406643216870369030f, - 0.913587047945250810f, -0.408044162864978630f, 0.912962190428398210f, - -0.409444148692257480f, 0.912335184623322860f, -0.410843171057903800f, - 0.911706032005429880f, -0.412241226669882890f, 0.911074734055176360f, - -0.413638312238434450f, 0.910441292258067250f, -0.415034424476081520f, - 0.909805708104652330f, -0.416429560097636990f, 0.909167983090522490f, - -0.417823715820212270f, 0.908528118716306120f, -0.419216888363224070f, - 0.907886116487666150f, -0.420609074448402400f, 0.907241977915295930f, - -0.422000270799799680f, 0.906595704514915330f, -0.423390474143795770f, - 0.905947297807268570f, -0.424779681209108690f, 0.905296759318118820f, - -0.426167888726799670f, 0.904644090578246130f, -0.427555093430281860f, - 0.903989293123443450f, -0.428941292055329440f, 0.903332368494511820f, - -0.430326481340082720f, 0.902673318237258830f, -0.431710658025057090f, - 0.902012143902493290f, -0.433093818853151900f, 0.901348847046022030f, - -0.434475960569655820f, 0.900683429228646860f, -0.435857079922255360f, - 0.900015892016160280f, -0.437237173661044090f, 0.899346236979341570f, - -0.438616238538527380f, 0.898674465693953930f, -0.439994271309633140f, - 0.898000579740739880f, -0.441371268731716730f, 0.897324580705418320f, - -0.442747227564569800f, 0.896646470178680270f, -0.444122144570429140f, - 0.895966249756185220f, -0.445496016513981800f, 0.895283921038557470f, - -0.446868840162373990f, 0.894599485631382810f, -0.448240612285219890f, - 0.893912945145203250f, -0.449611329654606710f, 0.893224301195515210f, - -0.450980989045103700f, 0.892533555402764690f, -0.452349587233770890f, - 0.891840709392342720f, -0.453717121000163590f, 0.891145764794583410f, - -0.455083587126343720f, 0.890448723244757990f, -0.456448982396883970f, - 0.889749586383072780f, -0.457813303598877010f, 0.889048355854664680f, - -0.459176547521944030f, 0.888345033309596350f, -0.460538710958240060f, - 0.887639620402853930f, -0.461899790702462560f, 0.886932118794342310f, - -0.463259783551860150f, 0.886222530148880640f, -0.464618686306237930f, - 0.885510856136199840f, -0.465976495767966010f, 0.884797098430937900f, - -0.467333208741988420f, 0.884081258712634990f, -0.468688822035827680f, - 0.883363338665731690f, -0.470043332459595510f, 0.882643339979562900f, - -0.471396736825997700f, 0.881921264348355050f, -0.472749031950342570f, - 0.881197113471222200f, -0.474100214650549910f, 0.880470889052160870f, - -0.475450281747155980f, 0.879742592800047410f, -0.476799230063321920f, - 0.879012226428633530f, -0.478147056424843010f, 0.878279791656541580f, - -0.479493757660153120f, 0.877545290207261240f, -0.480839330600333790f, - 0.876808723809145760f, -0.482183772079122720f, 0.876070094195406600f, - -0.483527078932918460f, 0.875329403104111000f, -0.484869248000791010f, - 0.874586652278176220f, -0.486210276124486420f, 0.873841843465366860f, - -0.487550160148435720f, 0.873094978418290200f, -0.488888896919763120f, - 0.872346058894391540f, -0.490226483288291210f, 0.871595086655950980f, - -0.491562916106549790f, 0.870842063470078980f, -0.492898192229783980f, - 0.870086991108711460f, -0.494232308515959840f, 0.869329871348606730f, - -0.495565261825772370f, 0.868570705971341010f, -0.496897049022654520f, - 0.867809496763303210f, -0.498227666972781590f, 0.867046245515692760f, - -0.499557112545081780f, 0.866280954024513110f, -0.500885382611240830f, - 0.865513624090569090f, -0.502212474045710570f, 0.864744257519462490f, - -0.503538383725717460f, 0.863972856121586810f, -0.504863108531267590f, - 0.863199421712124160f, -0.506186645345155120f, 0.862423956111040610f, - -0.507508991052970760f, 0.861646461143081300f, -0.508830142543107100f, - 0.860866938637767200f, -0.510150096706766590f, 0.860085390429390250f, - -0.511468850437970410f, 0.859301818357008360f, -0.512786400633562730f, - 0.858516224264442960f, -0.514102744193221660f, 0.857728610000272120f, - -0.515417878019463040f, 0.856938977417828760f, -0.516731799017649650f, - 0.856147328375194580f, -0.518044504095999230f, 0.855353664735196030f, - -0.519355990165589640f, 0.854557988365400530f, -0.520666254140366940f, - 0.853760301138111520f, -0.521975292937154280f, 0.852960604930363740f, - -0.523283103475656540f, 0.852158901623919720f, -0.524589682678468730f, - 0.851355193105265200f, -0.525895027471084630f, 0.850549481265603480f, - -0.527199134781901060f, 0.849741768000852660f, -0.528502001542228370f, - 0.848932055211639720f, -0.529803624686294720f, 0.848120344803297230f, - -0.531104001151254780f, 0.847306638685858540f, -0.532403127877197900f, - 0.846490938774052130f, -0.533701001807152960f, 0.845673246987299070f, - -0.534997619887097040f, 0.844853565249707230f, -0.536292979065963070f, - 0.844031895490066410f, -0.537587076295645620f, 0.843208239641845440f, - -0.538879908531008310f, 0.842382599643185960f, -0.540171472729892850f, - 0.841554977436898440f, -0.541461765853123220f, 0.840725374970458180f, - -0.542750784864515780f, 0.839893794195999630f, -0.544038526730883930f, - 0.839060237070312630f, -0.545324988422046240f, 0.838224705554838190f, - -0.546610166910834860f, 0.837387201615661940f, -0.547894059173100190f, - 0.836547727223512010f, -0.549176662187719540f, 0.835706284353752720f, - -0.550457972936604700f, 0.834862874986380120f, -0.551737988404707450f, - 0.834017501106018020f, -0.553016705580027360f, 0.833170164701913300f, - -0.554294121453620110f, 0.832320867767929680f, -0.555570233019601960f, - 0.831469612302545460f, -0.556845037275159990f, 0.830616400308846310f, - -0.558118531220556100f, 0.829761233794523050f, -0.559390711859135800f, - 0.828904114771865100f, -0.560661576197335920f, 0.828045045257755800f, - -0.561931121244689470f, 0.827184027273669130f, -0.563199344013833980f, - 0.826321062845663650f, -0.564466241520519390f, 0.825456154004377550f, - -0.565731810783613230f, 0.824589302785025180f, -0.566996048825108460f, - 0.823720511227391540f, -0.568258952670131490f, 0.822849781375826320f, - -0.569520519346947250f, 0.821977115279241440f, -0.570780745886967140f, - 0.821102514991104760f, -0.572039629324757050f, 0.820225982569434690f, - -0.573297166698041980f, 0.819347520076797120f, -0.574553355047715760f, - 0.818467129580298770f, -0.575808191417845340f, 0.817584813151583710f, - -0.577061672855679330f, 0.816700572866827960f, -0.578313796411655480f, - 0.815814410806733780f, -0.579564559139405850f, 0.814926329056526510f, - -0.580813958095764420f, 0.814036329705948520f, -0.582061990340775550f, - 0.813144414849253590f, -0.583308652937698400f, 0.812250586585203880f, - -0.584553942953015220f, 0.811354847017063840f, -0.585797857456438860f, - 0.810457198252594770f, -0.587040393520917750f, 0.809557642404051480f, - -0.588281548222645220f, 0.808656181588175090f, -0.589521318641063940f, - 0.807752817926190360f, -0.590759701858874050f, 0.806847553543799450f, - -0.591996694962040880f, 0.805940390571176390f, -0.593232295039799910f, - 0.805031331142963550f, -0.594466499184664320f, 0.804120377398265810f, - -0.595699304492433360f, 0.803207531480644940f, -0.596930708062196610f, - 0.802292795538115610f, -0.598160706996342160f, 0.801376171723140350f, - -0.599389298400564540f, 0.800457662192622820f, -0.600616479383868750f, - 0.799537269107905240f, -0.601842247058579920f, 0.798614994634760930f, - -0.603066598540348280f, 0.797690840943391040f, -0.604289530948155850f, - 0.796764810208418940f, -0.605511041404325430f, 0.795836904608883570f, - -0.606731127034524590f, 0.794907126328236900f, -0.607949784967773520f, - 0.793975477554337280f, -0.609167012336453210f, 0.793041960479443640f, - -0.610382806276309590f, 0.792106577300212280f, -0.611597163926461800f, - 0.791169330217690310f, -0.612810082429409710f, 0.790230221437310030f, - -0.614021558931038160f, 0.789289253168885870f, -0.615231590580626710f, - 0.788346427626606340f, -0.616440174530853650f, 0.787401747029031320f, - -0.617647307937803760f, 0.786455213599085880f, -0.618852987960976210f, - 0.785506829564054040f, -0.620057211763289210f, 0.784556597155575130f, - -0.621259976511087440f, 0.783604518609638310f, -0.622461279374149970f, - 0.782650596166575730f, -0.623661117525694640f, 0.781694832071059280f, - -0.624859488142386230f, 0.780737228572094600f, -0.626056388404343520f, - 0.779777787923014440f, -0.627251815495143860f, 0.778816512381476090f, - -0.628445766601832600f, 0.777853404209453150f, -0.629638238914927100f, - 0.776888465673232440f, -0.630829229628424360f, 0.775921699043407800f, - -0.632018735939808950f, 0.774953106594873930f, -0.633206755050057300f, - 0.773982690606822790f, -0.634393284163645380f, 0.773010453362737100f, - -0.635578320488556110f, 0.772036397150384520f, -0.636761861236284310f, - 0.771060524261813710f, -0.637943903621843940f, 0.770082836993348010f, - -0.639124444863775730f, 0.769103337645579590f, -0.640303482184151450f, - 0.768122028523365530f, -0.641481012808583050f, 0.767138911935820510f, - -0.642657033966226860f, 0.766153990196312920f, -0.643831542889791280f, - 0.765167265622459070f, -0.645004536815543930f, 0.764178740536116790f, - -0.646176012983316390f, 0.763188417263381270f, -0.647345968636511950f, - 0.762196298134579010f, -0.648514401022112440f, 0.761202385484261890f, - -0.649681307390683300f, 0.760206681651202310f, -0.650846684996380760f, - 0.759209188978388180f, -0.652010531096959500f, 0.758209909813015280f, - -0.653172842953776530f, 0.757208846506484680f, -0.654333617831800440f, - 0.756206001414394540f, -0.655492852999615460f, 0.755201376896536550f, - -0.656650545729428830f, 0.754194975316889280f, -0.657806693297078640f, - 0.753186799043612520f, -0.658961292982037430f, 0.752176850449042700f, - -0.660114342067420370f, 0.751165131909686590f, -0.661265837839992150f, - 0.750151645806215070f, -0.662415777590171890f, 0.749136394523459260f, - -0.663564158612039660f, 0.748119380450403710f, -0.664710978203344900f, - 0.747100605980180130f, -0.665856233665509500f, 0.746080073510064000f, - -0.666999922303637360f, 0.745057785441466060f, -0.668142041426518560f, - 0.744033744179929290f, -0.669282588346635900f, 0.743007952135121830f, - -0.670421560380173090f, 0.741980411720831070f, -0.671558954847018440f, - 0.740951125354958990f, -0.672694769070772750f, 0.739920095459516310f, - -0.673829000378756040f, 0.738887324460615220f, -0.674961646102012150f, - 0.737852814788465870f, -0.676092703575315810f, 0.736816568877370020f, - -0.677222170137180450f, 0.735778589165713480f, -0.678350043129861250f, - 0.734738878095963610f, -0.679476319899364970f, 0.733697438114660370f, - -0.680600997795453020f, 0.732654271672412820f, -0.681724074171649600f, - 0.731609381223892740f, -0.682845546385247970f, 0.730562769227827590f, - -0.683965411797315510f, 0.729514438146997010f, -0.685083667772700240f, - 0.728464390448225310f, -0.686200311680038590f, 0.727412628602375770f, - -0.687315340891759160f, 0.726359155084345900f, -0.688428752784090330f, - 0.725303972373060880f, -0.689540544737066940f, 0.724247082951466890f, - -0.690650714134534380f, 0.723188489306527570f, -0.691759258364157640f, - 0.722128193929215460f, -0.692866174817424740f, 0.721066199314508110f, - -0.693971460889653780f, 0.720002507961381770f, -0.695075113980000770f, - 0.718937122372804490f, -0.696177131491462990f, 0.717870045055731710f, - -0.697277510830886400f, 0.716801278521099650f, -0.698376249408972800f, - 0.715730825283818710f, -0.699473344640283880f, 0.714658687862768980f, - -0.700568793943248220f, 0.713584868780793750f, -0.701662594740168450f, - 0.712509370564692320f, -0.702754744457225080f, 0.711432195745216660f, - -0.703845240524484830f, 0.710353346857062420f, -0.704934080375904880f, - 0.709272826438865580f, -0.706021261449339630f, 0.708190637033195510f, - -0.707106781186547460f, 0.707106781186547570f, -0.708190637033195400f, - 0.706021261449339740f, -0.709272826438865470f, 0.704934080375905100f, - -0.710353346857062310f, 0.703845240524485050f, -0.711432195745216540f, - 0.702754744457225190f, -0.712509370564692210f, 0.701662594740168680f, - -0.713584868780793640f, 0.700568793943248340f, -0.714658687862768870f, - 0.699473344640283990f, -0.715730825283818590f, 0.698376249408972920f, - -0.716801278521099540f, 0.697277510830886520f, -0.717870045055731600f, - 0.696177131491463100f, -0.718937122372804380f, 0.695075113980000990f, - -0.720002507961381650f, 0.693971460889654000f, -0.721066199314507990f, - 0.692866174817424850f, -0.722128193929215230f, 0.691759258364157860f, - -0.723188489306527460f, 0.690650714134534600f, -0.724247082951466780f, - 0.689540544737067050f, -0.725303972373060770f, 0.688428752784090440f, - -0.726359155084345790f, 0.687315340891759270f, -0.727412628602375650f, - 0.686200311680038700f, -0.728464390448225200f, 0.685083667772700360f, - -0.729514438146996790f, 0.683965411797315630f, -0.730562769227827480f, - 0.682845546385248190f, -0.731609381223892630f, 0.681724074171649710f, - -0.732654271672412700f, 0.680600997795453240f, -0.733697438114660260f, - 0.679476319899365080f, -0.734738878095963500f, 0.678350043129861360f, - -0.735778589165713370f, 0.677222170137180560f, -0.736816568877369900f, - 0.676092703575315920f, -0.737852814788465760f, 0.674961646102012260f, - -0.738887324460615000f, 0.673829000378756150f, -0.739920095459516200f, - 0.672694769070772860f, -0.740951125354958880f, 0.671558954847018550f, - -0.741980411720830960f, 0.670421560380173200f, -0.743007952135121720f, - 0.669282588346636010f, -0.744033744179929070f, 0.668142041426518670f, - -0.745057785441465950f, 0.666999922303637580f, -0.746080073510063890f, - 0.665856233665509610f, -0.747100605980180020f, 0.664710978203345020f, - -0.748119380450403600f, 0.663564158612039770f, -0.749136394523459150f, - 0.662415777590172010f, -0.750151645806214960f, 0.661265837839992380f, - -0.751165131909686480f, 0.660114342067420480f, -0.752176850449042480f, - 0.658961292982037540f, -0.753186799043612410f, 0.657806693297078750f, - -0.754194975316889170f, 0.656650545729429050f, -0.755201376896536440f, - 0.655492852999615570f, -0.756206001414394420f, 0.654333617831800550f, - -0.757208846506484570f, 0.653172842953776640f, -0.758209909813015170f, - 0.652010531096959720f, -0.759209188978388070f, 0.650846684996380990f, - -0.760206681651202200f, 0.649681307390683420f, -0.761202385484261670f, - 0.648514401022112550f, -0.762196298134578900f, 0.647345968636512060f, - -0.763188417263381050f, 0.646176012983316620f, -0.764178740536116670f, - 0.645004536815544040f, -0.765167265622458960f, 0.643831542889791390f, - -0.766153990196312700f, 0.642657033966227090f, -0.767138911935820290f, - 0.641481012808583160f, -0.768122028523365420f, 0.640303482184151560f, - -0.769103337645579480f, 0.639124444863775840f, -0.770082836993347900f, - 0.637943903621844060f, -0.771060524261813600f, 0.636761861236284420f, - -0.772036397150384410f, 0.635578320488556230f, -0.773010453362736990f, - 0.634393284163645490f, -0.773982690606822680f, 0.633206755050057410f, - -0.774953106594873820f, 0.632018735939809060f, -0.775921699043407690f, - 0.630829229628424470f, -0.776888465673232330f, 0.629638238914927210f, - -0.777853404209453040f, 0.628445766601832710f, -0.778816512381475980f, - 0.627251815495144080f, -0.779777787923014330f, 0.626056388404343630f, - -0.780737228572094490f, 0.624859488142386340f, -0.781694832071059160f, - 0.623661117525694860f, -0.782650596166575620f, 0.622461279374150080f, - -0.783604518609638200f, 0.621259976511087550f, -0.784556597155575020f, - 0.620057211763289430f, -0.785506829564053930f, 0.618852987960976430f, - -0.786455213599085770f, 0.617647307937803870f, -0.787401747029031210f, - 0.616440174530853760f, -0.788346427626606230f, 0.615231590580626930f, - -0.789289253168885760f, 0.614021558931038380f, -0.790230221437309920f, - 0.612810082429409820f, -0.791169330217690200f, 0.611597163926461910f, - -0.792106577300212170f, 0.610382806276309700f, -0.793041960479443530f, - 0.609167012336453320f, -0.793975477554337170f, 0.607949784967773630f, - -0.794907126328236790f, 0.606731127034524700f, -0.795836904608883460f, - 0.605511041404325660f, -0.796764810208418830f, 0.604289530948155960f, - -0.797690840943390930f, 0.603066598540348390f, -0.798614994634760820f, - 0.601842247058580140f, -0.799537269107905120f, 0.600616479383868860f, - -0.800457662192622710f, 0.599389298400564650f, -0.801376171723140240f, - 0.598160706996342380f, -0.802292795538115500f, 0.596930708062196720f, - -0.803207531480644830f, 0.595699304492433470f, -0.804120377398265700f, - 0.594466499184664430f, -0.805031331142963440f, 0.593232295039800020f, - -0.805940390571176280f, 0.591996694962040990f, -0.806847553543799330f, - 0.590759701858874160f, -0.807752817926190250f, 0.589521318641064050f, - -0.808656181588174980f, 0.588281548222645330f, -0.809557642404051370f, - 0.587040393520917970f, -0.810457198252594660f, 0.585797857456438980f, - -0.811354847017063730f, 0.584553942953015330f, -0.812250586585203770f, - 0.583308652937698510f, -0.813144414849253480f, 0.582061990340775660f, - -0.814036329705948410f, 0.580813958095764530f, -0.814926329056526400f, - 0.579564559139405970f, -0.815814410806733670f, 0.578313796411655700f, - -0.816700572866827850f, 0.577061672855679440f, -0.817584813151583600f, - 0.575808191417845450f, -0.818467129580298660f, 0.574553355047715870f, - -0.819347520076797010f, 0.573297166698042090f, -0.820225982569434580f, - 0.572039629324757270f, -0.821102514991104650f, 0.570780745886967260f, - -0.821977115279241330f, 0.569520519346947470f, -0.822849781375826210f, - 0.568258952670131710f, -0.823720511227391430f, 0.566996048825108680f, - -0.824589302785025070f, 0.565731810783613450f, -0.825456154004377440f, - 0.564466241520519500f, -0.826321062845663530f, 0.563199344013834090f, - -0.827184027273669020f, 0.561931121244689580f, -0.828045045257755690f, - 0.560661576197336140f, -0.828904114771864990f, 0.559390711859136030f, - -0.829761233794522930f, 0.558118531220556320f, -0.830616400308846310f, - 0.556845037275160100f, -0.831469612302545350f, 0.555570233019602180f, - -0.832320867767929570f, 0.554294121453620230f, -0.833170164701913190f, - 0.553016705580027580f, -0.834017501106018020f, 0.551737988404707670f, - -0.834862874986380010f, 0.550457972936604920f, -0.835706284353752600f, - 0.549176662187719660f, -0.836547727223511890f, 0.547894059173100410f, - -0.837387201615661820f, 0.546610166910834970f, -0.838224705554838080f, - 0.545324988422046350f, -0.839060237070312630f, 0.544038526730884040f, - -0.839893794195999520f, 0.542750784864515890f, -0.840725374970458070f, - 0.541461765853123330f, -0.841554977436898330f, 0.540171472729892970f, - -0.842382599643185850f, 0.538879908531008420f, -0.843208239641845330f, - 0.537587076295645730f, -0.844031895490066410f, 0.536292979065963290f, - -0.844853565249707120f, 0.534997619887097150f, -0.845673246987298950f, - 0.533701001807153190f, -0.846490938774052020f, 0.532403127877198010f, - -0.847306638685858430f, 0.531104001151254890f, -0.848120344803297120f, - 0.529803624686294830f, -0.848932055211639610f, 0.528502001542228480f, - -0.849741768000852550f, 0.527199134781901280f, -0.850549481265603370f, - 0.525895027471084850f, -0.851355193105265200f, 0.524589682678468950f, - -0.852158901623919610f, 0.523283103475656650f, -0.852960604930363630f, - 0.521975292937154500f, -0.853760301138111410f, 0.520666254140367160f, - -0.854557988365400420f, 0.519355990165589750f, -0.855353664735195920f, - 0.518044504095999450f, -0.856147328375194470f, 0.516731799017649760f, - -0.856938977417828650f, 0.515417878019463150f, -0.857728610000272010f, - 0.514102744193221770f, -0.858516224264442850f, 0.512786400633562960f, - -0.859301818357008360f, 0.511468850437970520f, -0.860085390429390140f, - 0.510150096706766810f, -0.860866938637767090f, 0.508830142543107320f, - -0.861646461143081300f, 0.507508991052970980f, -0.862423956111040500f, - 0.506186645345155230f, -0.863199421712124050f, 0.504863108531267700f, - -0.863972856121586700f, 0.503538383725717690f, -0.864744257519462380f, - 0.502212474045710680f, -0.865513624090568980f, 0.500885382611240940f, - -0.866280954024512990f, 0.499557112545081950f, -0.867046245515692760f, - 0.498227666972781760f, -0.867809496763303210f, 0.496897049022654690f, - -0.868570705971340900f, 0.495565261825772540f, -0.869329871348606620f, - 0.494232308515960010f, -0.870086991108711350f, 0.492898192229784150f, - -0.870842063470078980f, 0.491562916106549900f, -0.871595086655950870f, - 0.490226483288291380f, -0.872346058894391430f, 0.488888896919763280f, - -0.873094978418290090f, 0.487550160148435880f, -0.873841843465366750f, - 0.486210276124486580f, -0.874586652278176110f, 0.484869248000791120f, - -0.875329403104110890f, 0.483527078932918630f, -0.876070094195406490f, - 0.482183772079122890f, -0.876808723809145650f, 0.480839330600333960f, - -0.877545290207261130f, 0.479493757660153290f, -0.878279791656541460f, - 0.478147056424843180f, -0.879012226428633530f, 0.476799230063322090f, - -0.879742592800047300f, 0.475450281747156090f, -0.880470889052160750f, - 0.474100214650550080f, -0.881197113471222090f, 0.472749031950342740f, - -0.881921264348354940f, 0.471396736825997860f, -0.882643339979562790f, - 0.470043332459595680f, -0.883363338665731690f, 0.468688822035827850f, - -0.884081258712634880f, 0.467333208741988580f, -0.884797098430937790f, - 0.465976495767966180f, -0.885510856136199840f, 0.464618686306238090f, - -0.886222530148880530f, 0.463259783551860320f, -0.886932118794342190f, - 0.461899790702462730f, -0.887639620402853820f, 0.460538710958240230f, - -0.888345033309596240f, 0.459176547521944200f, -0.889048355854664570f, - 0.457813303598877170f, -0.889749586383072670f, 0.456448982396884140f, - -0.890448723244757880f, 0.455083587126343890f, -0.891145764794583290f, - 0.453717121000163760f, -0.891840709392342610f, 0.452349587233771060f, - -0.892533555402764580f, 0.450980989045103860f, -0.893224301195515210f, - 0.449611329654606870f, -0.893912945145203140f, 0.448240612285220050f, - -0.894599485631382700f, 0.446868840162374160f, -0.895283921038557360f, - 0.445496016513981960f, -0.895966249756185110f, 0.444122144570429310f, - -0.896646470178680270f, 0.442747227564569970f, -0.897324580705418210f, - 0.441371268731716890f, -0.898000579740739770f, 0.439994271309633310f, - -0.898674465693953930f, 0.438616238538527550f, -0.899346236979341460f, - 0.437237173661044250f, -0.900015892016160170f, 0.435857079922255530f, - -0.900683429228646750f, 0.434475960569655980f, -0.901348847046021920f, - 0.433093818853152070f, -0.902012143902493180f, 0.431710658025057260f, - -0.902673318237258710f, 0.430326481340082890f, -0.903332368494511820f, - 0.428941292055329600f, -0.903989293123443340f, 0.427555093430282030f, - -0.904644090578246130f, 0.426167888726799840f, -0.905296759318118700f, - 0.424779681209108860f, -0.905947297807268460f, 0.423390474143795940f, - -0.906595704514915330f, 0.422000270799799850f, -0.907241977915295820f, - 0.420609074448402560f, -0.907886116487666040f, 0.419216888363224240f, - -0.908528118716306120f, 0.417823715820212440f, -0.909167983090522380f, - 0.416429560097637150f, -0.909805708104652110f, 0.415034424476081850f, - -0.910441292258067140f, 0.413638312238434610f, -0.911074734055176360f, - 0.412241226669882830f, -0.911706032005429770f, 0.410843171057904130f, - -0.912335184623322750f, 0.409444148692257650f, -0.912962190428398210f, - 0.408044162864978580f, -0.913587047945250700f, 0.406643216870369200f, - -0.914209755703530690f, 0.405241314004989920f, -0.914830312237945980f, - 0.403838457567654410f, -0.915448716088267720f, 0.402434650859418600f, - -0.916064965799331720f, 0.401029897183575620f, -0.916679059921042590f, - 0.399624199845647070f, -0.917290997008377910f, 0.398217562153373670f, - -0.917900775621390500f, 0.396809987416710250f, -0.918508394325212140f, - 0.395401478947816520f, -0.919113851690057770f, 0.393992040061048150f, - -0.919717146291227360f, 0.392581674072951410f, -0.920318276709110480f, - 0.391170384302254040f, -0.920917241529189410f, 0.389758174069856470f, - -0.921514039342041790f, 0.388345046698826580f, -0.922108668743345070f, - 0.386931005514388750f, -0.922701128333878630f, 0.385516053843918850f, - -0.923291416719527520f, 0.384100195016935320f, -0.923879532511286740f, - 0.382683432365089890f, -0.924465474325262600f, 0.381265769222162320f, - -0.925049240782677470f, 0.379847208924051380f, -0.925630830509872720f, - 0.378427754808765670f, -0.926210242138311380f, 0.377007410216418150f, - -0.926787474304581750f, 0.375586178489217380f, -0.927362525650401110f, - 0.374164062971458040f, -0.927935394822617780f, 0.372741067009516090f, - -0.928506080473215480f, 0.371317193951837710f, -0.929074581259315750f, - 0.369892447148934100f, -0.929640895843181210f, 0.368466829953372600f, - -0.930205022892219070f, 0.367040345719767290f, -0.930766961078983710f, - 0.365612997804773800f, -0.931326709081180320f, 0.364184789567080110f, - -0.931884265581668040f, 0.362755724367397280f, -0.932439629268462470f, - 0.361325805568454170f, -0.932992798834738850f, 0.359895036534988330f, - -0.933543772978836170f, 0.358463420633736600f, -0.934092550404258760f, - 0.357030961233430310f, -0.934639129819680670f, 0.355597661704784020f, - -0.935183509938947610f, 0.354163525420490400f, -0.935725689481080260f, - 0.352728555755210950f, -0.936265667170278260f, 0.351292756085567200f, - -0.936803441735921670f, 0.349856129790134860f, -0.937339011912574850f, - 0.348418680249434790f, -0.937872376439989770f, 0.346980410845923740f, - -0.938403534063108170f, 0.345541324963988980f, -0.938932483532064490f, - 0.344101425989939040f, -0.939459223602189920f, 0.342660717311994430f, - -0.939983753034013820f, 0.341219202320282690f, -0.940506070593268300f, - 0.339776884406827020f, -0.941026175050889260f, 0.338333766965541180f, - -0.941544065183020700f, 0.336889853392220330f, -0.942059739771017310f, - 0.335445147084531710f, -0.942573197601446870f, 0.333999651442009380f, - -0.943084437466093380f, 0.332553369866044450f, -0.943593458161960390f, - 0.331106305759876480f, -0.944100258491272660f, 0.329658462528587440f, - -0.944604837261480150f, 0.328209843579092720f, -0.945107193285260610f, - 0.326760452320131840f, -0.945607325380521170f, 0.325310292162263260f, - -0.946105232370403340f, 0.323859366517853020f, -0.946600913083283530f, - 0.322407678801069850f, -0.947094366352777110f, 0.320955232427875490f, - -0.947585591017741090f, 0.319502030816015800f, -0.948074585922276230f, - 0.318048077385014890f, -0.948561349915730270f, 0.316593375556166070f, - -0.949045881852700560f, 0.315137928752522500f, -0.949528180593036670f, - 0.313681740398891410f, -0.950008245001843000f, 0.312224813921825110f, - -0.950486073949481700f, 0.310767152749611530f, -0.950961666311574970f, - 0.309308760312269000f, -0.951435020969008340f, 0.307849640041535030f, - -0.951906136807932350f, 0.306389795370860920f, -0.952375012719765770f, - 0.304929229735402650f, -0.952841647601198600f, 0.303467946572011430f, - -0.953306040354193860f, 0.302005949319228030f, -0.953768189885990210f, - 0.300543241417273680f, -0.954228095109105560f, 0.299079826308040530f, - -0.954685754941338340f, 0.297615707435086140f, -0.955141168305770670f, - 0.296150888243624010f, -0.955594334130771110f, 0.294685372180514380f, - -0.956045251349996290f, 0.293219162694258960f, -0.956493918902394990f, - 0.291752263234989430f, -0.956940335732208820f, 0.290284677254462390f, - -0.957384500788975860f, 0.288816408206049760f, -0.957826413027532910f, - 0.287347459544729620f, -0.958266071408017670f, 0.285877834727080560f, - -0.958703474895871490f, 0.284407537211272100f, -0.959138622461841890f, - 0.282936570457055450f, -0.959571513081984520f, 0.281464937925757890f, - -0.960002145737665850f, 0.279992643080273440f, -0.960430519415565790f, - 0.278519689385053170f, -0.960856633107679550f, 0.277046080306100230f, - -0.961280485811320640f, 0.275571819310958310f, -0.961702076529122540f, - 0.274096909868706380f, -0.962121404269041470f, 0.272621355449949250f, - -0.962538468044359160f, 0.271145159526808120f, -0.962953266873683880f, - 0.269668325572915090f, -0.963365799780953940f, 0.268190857063403400f, - -0.963776065795439840f, 0.266712757474898480f, -0.964184063951745830f, - 0.265234030285511730f, -0.964589793289812650f, 0.263754678974831570f, - -0.964993252854920320f, 0.262274707023913700f, -0.965394441697689290f, - 0.260794117915275850f, -0.965793358874083570f, 0.259312915132886400f, - -0.966190003445412500f, 0.257831102162158990f, -0.966584374478333010f, - 0.256348682489943190f, -0.966976471044852070f, 0.254865659604514680f, - -0.967366292222328510f, 0.253382036995570100f, -0.967753837093475400f, - 0.251897818154217190f, -0.968139104746362330f, 0.250413006572965340f, - -0.968522094274417380f, 0.248927605745720090f, -0.968902804776428870f, - 0.247441619167773490f, -0.969281235356548420f, 0.245955050335794650f, - -0.969657385124292340f, 0.244467902747824480f, -0.970031253194543970f, - 0.242980179903264070f, -0.970402838687555500f, 0.241491885302869360f, - -0.970772140728950240f, 0.240003022448741780f, -0.971139158449725090f, - 0.238513594844318550f, -0.971503890986251780f, 0.237023605994367170f, - -0.971866337480279290f, 0.235533059404975740f, -0.972226497078936270f, - 0.234041958583543510f, -0.972584368934732210f, 0.232550307038775160f, - -0.972939952205560070f, 0.231058108280671330f, -0.973293246054698250f, - 0.229565365820518920f, -0.973644249650811870f, 0.228072083170886060f, - -0.973992962167955830f, 0.226578263845610170f, -0.974339382785575860f, - 0.225083911359792830f, -0.974683510688510670f, 0.223589029229790290f, - -0.975025345066994120f, 0.222093620973203650f, -0.975364885116656980f, - 0.220597690108873510f, -0.975702130038528460f, 0.219101240156870050f, - -0.976037079039039020f, 0.217604274638483720f, -0.976369731330021140f, - 0.216106797076219440f, -0.976700086128711730f, 0.214608810993786980f, - -0.977028142657754390f, 0.213110319916091420f, -0.977353900145199960f, - 0.211611327369227890f, -0.977677357824509930f, 0.210111836880469800f, - -0.977998514934557140f, 0.208611851978263510f, -0.978317370719627540f, - 0.207111376192218840f, -0.978633924429423100f, 0.205610413053099380f, - -0.978948175319062200f, 0.204108966092816840f, -0.979260122649082020f, - 0.202607038844421380f, -0.979569765685440520f, 0.201104634842092010f, - -0.979877103699517640f, 0.199601757621130920f, -0.980182135968117320f, - 0.198098410717953810f, -0.980484861773469380f, 0.196594597670080280f, - -0.980785280403230430f, 0.195090322016128610f, -0.981083391150486590f, - 0.193585587295803800f, -0.981379193313754560f, 0.192080397049892470f, - -0.981672686196983110f, 0.190574754820253070f, -0.981963869109555240f, - 0.189068664149806360f, -0.982252741366289370f, 0.187562128582529570f, - -0.982539302287441240f, 0.186055151663446910f, -0.982823551198705240f, - 0.184547736938619700f, -0.983105487431216290f, 0.183039887955140900f, - -0.983385110321551180f, 0.181531608261125220f, -0.983662419211730250f, - 0.180022901405699570f, -0.983937413449218920f, 0.178513770938997420f, - -0.984210092386929030f, 0.177004220412148940f, -0.984480455383220930f, - 0.175494253377271450f, -0.984748501801904210f, 0.173983873387464130f, - -0.985014231012239840f, 0.172473083996796120f, -0.985277642388941220f, - 0.170961888760301220f, -0.985538735312176060f, 0.169450291233968210f, - -0.985797509167567370f, 0.167938294974731280f, -0.986053963346195440f, - 0.166425903540464050f, -0.986308097244598560f, 0.164913120489970140f, - -0.986559910264775410f, 0.163399949382973280f, -0.986809401814185530f, - 0.161886393780111740f, -0.987056571305750970f, 0.160372457242928450f, - -0.987301418157858430f, 0.158858143333861470f, -0.987543941794359230f, - 0.157343455616238550f, -0.987784141644572180f, 0.155828397654265370f, - -0.988022017143283530f, 0.154312973013020080f, -0.988257567730749460f, - 0.152797185258443690f, -0.988490792852696590f, 0.151281037957330310f, - -0.988721691960323780f, 0.149764534677321450f, -0.988950264510302990f, - 0.148247678986896250f, -0.989176509964781010f, 0.146730474455361800f, - -0.989400427791380380f, 0.145212924652847350f, -0.989622017463200780f, - 0.143695033150294640f, -0.989841278458820530f, 0.142176803519448090f, - -0.990058210262297010f, 0.140658239332849540f, -0.990272812363169110f, - 0.139139344163826340f, -0.990485084256457090f, 0.137620121586486040f, - -0.990695025442664630f, 0.136100575175706480f, -0.990902635427780010f, - 0.134580708507126280f, -0.991107913723276890f, 0.133060525157139010f, - -0.991310859846115440f, 0.131540028702883340f, -0.991511473318743900f, - 0.130019222722233430f, -0.991709753669099530f, 0.128498110793793090f, - -0.991905700430609330f, 0.126976696496886060f, -0.992099313142191800f, - 0.125454983411546260f, -0.992290591348257260f, 0.123932975118512480f, - -0.992479534598709970f, 0.122410675199216350f, -0.992666142448948020f, - 0.120888087235777060f, -0.992850414459865100f, 0.119365214810991630f, - -0.993032350197851410f, 0.117842061508325090f, -0.993211949234794500f, - 0.116318630911904710f, -0.993389211148080650f, 0.114794926606510310f, - -0.993564135520595300f, 0.113270952177564420f, -0.993736721940724600f, - 0.111746711211126500f, -0.993906970002356060f, 0.110222207293883240f, - -0.994074879304879370f, 0.108697444013138740f, -0.994240449453187900f, - 0.107172424956809160f, -0.994403680057679100f, 0.105647153713410750f, - -0.994564570734255420f, 0.104121633872054570f, -0.994723121104325700f, - 0.102595869022436560f, -0.994879330794805620f, 0.101069862754827930f, - -0.995033199438118630f, 0.099543618660069277f, -0.995184726672196820f, - 0.098017140329560826f, -0.995333912140482280f, 0.096490431355252662f, - -0.995480755491926940f, 0.094963495329638908f, -0.995625256380994310f, - 0.093436335845747967f, -0.995767414467659820f, 0.091908956497132752f, - -0.995907229417411720f, 0.090381360877865288f, -0.996044700901251970f, - 0.088853552582524753f, -0.996179828595696980f, 0.087325535206192059f, - -0.996312612182778000f, 0.085797312344440158f, -0.996443051350042630f, - 0.084268887593324182f, -0.996571145790554840f, 0.082740264549375636f, - -0.996696895202896060f, 0.081211446809592663f, -0.996820299291165670f, - 0.079682437971430195f, -0.996941357764982160f, 0.078153241632794149f, - -0.997060070339482960f, 0.076623861392031686f, -0.997176436735326080f, - 0.075094300847921347f, -0.997290456678690210f, 0.073564563599667732f, - -0.997402129901275300f, 0.072034653246889471f, -0.997511456140303450f, - 0.070504573389613856f, -0.997618435138519550f, 0.068974327628267024f, - -0.997723066644191640f, 0.067443919563664176f, -0.997825350411111640f, - 0.065913352797003763f, -0.997925286198596000f, 0.064382630929857701f, - -0.998022873771486240f, 0.062851757564161490f, -0.998118112900149180f, - 0.061320736302208488f, -0.998211003360478190f, 0.059789570746640069f, - -0.998301544933892890f, 0.058258264500435794f, -0.998389737407340160f, - 0.056726821166908067f, -0.998475580573294770f, 0.055195244349690094f, - -0.998559074229759310f, 0.053663537652730520f, -0.998640218180265160f, - 0.052131704680283594f, -0.998719012233872940f, 0.050599749036899393f, - -0.998795456205172410f, 0.049067674327417966f, -0.998869549914283560f, - 0.047535484156959538f, -0.998941293186856870f, 0.046003182130914706f, - -0.999010685854073380f, 0.044470771854938584f, -0.999077727752645360f, - 0.042938256934941021f, -0.999142418724816910f, 0.041405640977076774f, - -0.999204758618363890f, 0.039872927587740130f, -0.999264747286594420f, - 0.038340120373552854f, -0.999322384588349540f, 0.036807222941358832f, - -0.999377670388002850f, 0.035274238898214232f, -0.999430604555461730f, - 0.033741171851377705f, -0.999481186966166950f, 0.032208025408304544f, - -0.999529417501093140f, 0.030674803176636865f, -0.999575296046749220f, - 0.029141508764193802f, -0.999618822495178640f, 0.027608145778965660f, - -0.999659996743959220f, 0.026074717829104099f, -0.999698818696204250f, - 0.024541228522912326f, -0.999735288260561680f, 0.023007681468839695f, - -0.999769405351215280f, 0.021474080275469667f, -0.999801169887884260f, - 0.019940428551514438f, -0.999830581795823400f, 0.018406729905805101f, - -0.999857641005823860f, 0.016872987947281835f, -0.999882347454212560f, - 0.015339206284988060f, -0.999904701082852790f, 0.013805388528060632f, - -0.999924701839144500f, 0.012271538285720007f, -0.999942349676023910f, - 0.010737659167264411f, -0.999957644551963900f, 0.009203754782060021f, - -0.999970586430974140f, 0.007669828739531138f, -0.999981175282601110f, - 0.006135884649154799f, -0.999989411081928400f, 0.004601926120448733f, - -0.999995293809576190f, 0.003067956762965977f, -0.999998823451701880f, - 0.001533980186285049f, -1.000000000000000000f, 0.000000000000000122f, - -0.999998823451701880f, -0.001533980186284804f, -0.999995293809576190f, - -0.003067956762965732f, -0.999989411081928400f, -0.004601926120448488f, - -0.999981175282601110f, -0.006135884649154554f, -0.999970586430974140f, - -0.007669828739530893f, -0.999957644551963900f, -0.009203754782059776f, - -0.999942349676023910f, -0.010737659167264166f, -0.999924701839144500f, - -0.012271538285719762f, -0.999904701082852900f, -0.013805388528060387f, - -0.999882347454212560f, -0.015339206284987816f, -0.999857641005823860f, - -0.016872987947281589f, -0.999830581795823400f, -0.018406729905804858f, - -0.999801169887884260f, -0.019940428551514192f, -0.999769405351215280f, - -0.021474080275469421f, -0.999735288260561680f, -0.023007681468839448f, - -0.999698818696204250f, -0.024541228522912080f, -0.999659996743959220f, - -0.026074717829103856f, -0.999618822495178640f, -0.027608145778965414f, - -0.999575296046749220f, -0.029141508764193556f, -0.999529417501093140f, - -0.030674803176636619f, -0.999481186966166950f, -0.032208025408304294f, - -0.999430604555461730f, -0.033741171851377455f, -0.999377670388002850f, - -0.035274238898213982f, -0.999322384588349540f, -0.036807222941358582f, - -0.999264747286594420f, -0.038340120373552611f, -0.999204758618363890f, - -0.039872927587739887f, -0.999142418724816910f, -0.041405640977076531f, - -0.999077727752645360f, -0.042938256934940779f, -0.999010685854073380f, - -0.044470771854938335f, -0.998941293186856870f, -0.046003182130914456f, - -0.998869549914283560f, -0.047535484156959296f, -0.998795456205172410f, - -0.049067674327417724f, -0.998719012233872940f, -0.050599749036899150f, - -0.998640218180265270f, -0.052131704680283351f, -0.998559074229759310f, - -0.053663537652730277f, -0.998475580573294770f, -0.055195244349689851f, - -0.998389737407340160f, -0.056726821166907818f, -0.998301544933892890f, - -0.058258264500435551f, -0.998211003360478190f, -0.059789570746639827f, - -0.998118112900149180f, -0.061320736302208245f, -0.998022873771486240f, - -0.062851757564161240f, -0.997925286198596000f, -0.064382630929857451f, - -0.997825350411111640f, -0.065913352797003527f, -0.997723066644191640f, - -0.067443919563663926f, -0.997618435138519550f, -0.068974327628266774f, - -0.997511456140303450f, -0.070504573389613606f, -0.997402129901275300f, - -0.072034653246889235f, -0.997290456678690210f, -0.073564563599667496f, - -0.997176436735326190f, -0.075094300847921097f, -0.997060070339482960f, - -0.076623861392031437f, -0.996941357764982160f, -0.078153241632793899f, - -0.996820299291165780f, -0.079682437971429945f, -0.996696895202896060f, - -0.081211446809592427f, -0.996571145790554840f, -0.082740264549375400f, - -0.996443051350042630f, -0.084268887593323932f, -0.996312612182778000f, - -0.085797312344439922f, -0.996179828595696980f, -0.087325535206191809f, - -0.996044700901251970f, -0.088853552582524503f, -0.995907229417411720f, - -0.090381360877865052f, -0.995767414467659820f, -0.091908956497132516f, - -0.995625256380994310f, -0.093436335845747731f, -0.995480755491926940f, - -0.094963495329638659f, -0.995333912140482280f, -0.096490431355252412f, - -0.995184726672196930f, -0.098017140329560590f, -0.995033199438118630f, - -0.099543618660069041f, -0.994879330794805620f, -0.101069862754827680f, - -0.994723121104325700f, -0.102595869022436310f, -0.994564570734255530f, - -0.104121633872054320f, -0.994403680057679100f, -0.105647153713410520f, - -0.994240449453187900f, -0.107172424956808910f, -0.994074879304879480f, - -0.108697444013138490f, -0.993906970002356060f, -0.110222207293883000f, - -0.993736721940724710f, -0.111746711211126250f, -0.993564135520595300f, - -0.113270952177564170f, -0.993389211148080650f, -0.114794926606510070f, - -0.993211949234794610f, -0.116318630911904470f, -0.993032350197851410f, - -0.117842061508324840f, -0.992850414459865100f, -0.119365214810991380f, - -0.992666142448948020f, -0.120888087235776820f, -0.992479534598709970f, - -0.122410675199216100f, -0.992290591348257370f, -0.123932975118512230f, - -0.992099313142191800f, -0.125454983411546010f, -0.991905700430609330f, - -0.126976696496885810f, -0.991709753669099530f, -0.128498110793792840f, - -0.991511473318744010f, -0.130019222722233180f, -0.991310859846115440f, - -0.131540028702883090f, -0.991107913723276890f, -0.133060525157138760f, - -0.990902635427780010f, -0.134580708507126060f, -0.990695025442664630f, - -0.136100575175706230f, -0.990485084256457090f, -0.137620121586485790f, - -0.990272812363169110f, -0.139139344163826120f, -0.990058210262297120f, - -0.140658239332849290f, -0.989841278458820530f, -0.142176803519447840f, - -0.989622017463200890f, -0.143695033150294390f, -0.989400427791380380f, - -0.145212924652847130f, -0.989176509964781010f, -0.146730474455361580f, - -0.988950264510302990f, -0.148247678986896030f, -0.988721691960323780f, - -0.149764534677321200f, -0.988490792852696700f, -0.151281037957330080f, - -0.988257567730749460f, -0.152797185258443440f, -0.988022017143283640f, - -0.154312973013019830f, -0.987784141644572180f, -0.155828397654265120f, - -0.987543941794359230f, -0.157343455616238300f, -0.987301418157858430f, - -0.158858143333861220f, -0.987056571305750970f, -0.160372457242928200f, - -0.986809401814185530f, -0.161886393780111490f, -0.986559910264775520f, - -0.163399949382973060f, -0.986308097244598670f, -0.164913120489969890f, - -0.986053963346195440f, -0.166425903540463830f, -0.985797509167567480f, - -0.167938294974731030f, -0.985538735312176060f, -0.169450291233967990f, - -0.985277642388941330f, -0.170961888760300970f, -0.985014231012239840f, - -0.172473083996795870f, -0.984748501801904210f, -0.173983873387463880f, - -0.984480455383220930f, -0.175494253377271200f, -0.984210092386929140f, - -0.177004220412148690f, -0.983937413449218920f, -0.178513770938997170f, - -0.983662419211730250f, -0.180022901405699350f, -0.983385110321551180f, - -0.181531608261124970f, -0.983105487431216400f, -0.183039887955140650f, - -0.982823551198705350f, -0.184547736938619480f, -0.982539302287441240f, - -0.186055151663446660f, -0.982252741366289480f, -0.187562128582529320f, - -0.981963869109555240f, -0.189068664149806110f, -0.981672686196983110f, - -0.190574754820252820f, -0.981379193313754670f, -0.192080397049892220f, - -0.981083391150486710f, -0.193585587295803550f, -0.980785280403230430f, - -0.195090322016128360f, -0.980484861773469380f, -0.196594597670080030f, - -0.980182135968117430f, -0.198098410717953560f, -0.979877103699517750f, - -0.199601757621130670f, -0.979569765685440520f, -0.201104634842091760f, - -0.979260122649082020f, -0.202607038844421130f, -0.978948175319062200f, - -0.204108966092816620f, -0.978633924429423210f, -0.205610413053099160f, - -0.978317370719627650f, -0.207111376192218590f, -0.977998514934557140f, - -0.208611851978263260f, -0.977677357824510040f, -0.210111836880469550f, - -0.977353900145199960f, -0.211611327369227660f, -0.977028142657754390f, - -0.213110319916091200f, -0.976700086128711840f, -0.214608810993786730f, - -0.976369731330021250f, -0.216106797076219210f, -0.976037079039039130f, - -0.217604274638483470f, -0.975702130038528570f, -0.219101240156869800f, - -0.975364885116656980f, -0.220597690108873260f, -0.975025345066994120f, - -0.222093620973203430f, -0.974683510688510670f, -0.223589029229790040f, - -0.974339382785575860f, -0.225083911359792610f, -0.973992962167955940f, - -0.226578263845609920f, -0.973644249650811870f, -0.228072083170885810f, - -0.973293246054698250f, -0.229565365820518700f, -0.972939952205560180f, - -0.231058108280671080f, -0.972584368934732320f, -0.232550307038774940f, - -0.972226497078936380f, -0.234041958583543260f, -0.971866337480279400f, - -0.235533059404975510f, -0.971503890986251890f, -0.237023605994366950f, - -0.971139158449725200f, -0.238513594844318330f, -0.970772140728950240f, - -0.240003022448741530f, -0.970402838687555500f, -0.241491885302869110f, - -0.970031253194543970f, -0.242980179903263820f, -0.969657385124292450f, - -0.244467902747824260f, -0.969281235356548530f, -0.245955050335794430f, - -0.968902804776428870f, -0.247441619167773270f, -0.968522094274417380f, - -0.248927605745719870f, -0.968139104746362440f, -0.250413006572965110f, - -0.967753837093475510f, -0.251897818154216970f, -0.967366292222328620f, - -0.253382036995569880f, -0.966976471044852180f, -0.254865659604514460f, - -0.966584374478333120f, -0.256348682489942910f, -0.966190003445412620f, - -0.257831102162158770f, -0.965793358874083680f, -0.259312915132886180f, - -0.965394441697689400f, -0.260794117915275630f, -0.964993252854920440f, - -0.262274707023913420f, -0.964589793289812760f, -0.263754678974831350f, - -0.964184063951745830f, -0.265234030285511510f, -0.963776065795439950f, - -0.266712757474898250f, -0.963365799780954050f, -0.268190857063403180f, - -0.962953266873683990f, -0.269668325572914810f, -0.962538468044359160f, - -0.271145159526807900f, -0.962121404269041580f, -0.272621355449949030f, - -0.961702076529122540f, -0.274096909868706160f, -0.961280485811320640f, - -0.275571819310958090f, -0.960856633107679550f, -0.277046080306100010f, - -0.960430519415565900f, -0.278519689385052890f, -0.960002145737665960f, - -0.279992643080273220f, -0.959571513081984630f, -0.281464937925757660f, - -0.959138622461842010f, -0.282936570457055170f, -0.958703474895871600f, - -0.284407537211271820f, -0.958266071408017780f, -0.285877834727080340f, - -0.957826413027532910f, -0.287347459544729400f, -0.957384500788975860f, - -0.288816408206049540f, -0.956940335732208940f, -0.290284677254462110f, - -0.956493918902395100f, -0.291752263234989210f, -0.956045251349996410f, - -0.293219162694258740f, -0.955594334130771110f, -0.294685372180514160f, - -0.955141168305770780f, -0.296150888243623790f, -0.954685754941338450f, - -0.297615707435085920f, -0.954228095109105670f, -0.299079826308040310f, - -0.953768189885990330f, -0.300543241417273450f, -0.953306040354193970f, - -0.302005949319227810f, -0.952841647601198720f, -0.303467946572011200f, - -0.952375012719765880f, -0.304929229735402430f, -0.951906136807932350f, - -0.306389795370860700f, -0.951435020969008450f, -0.307849640041534810f, - -0.950961666311575080f, -0.309308760312268780f, -0.950486073949481810f, - -0.310767152749611310f, -0.950008245001843000f, -0.312224813921824880f, - -0.949528180593036790f, -0.313681740398891180f, -0.949045881852700670f, - -0.315137928752522220f, -0.948561349915730270f, -0.316593375556165850f, - -0.948074585922276340f, -0.318048077385014670f, -0.947585591017741200f, - -0.319502030816015580f, -0.947094366352777220f, -0.320955232427875270f, - -0.946600913083283650f, -0.322407678801069630f, -0.946105232370403450f, - -0.323859366517852800f, -0.945607325380521280f, -0.325310292162262980f, - -0.945107193285260610f, -0.326760452320131570f, -0.944604837261480260f, - -0.328209843579092500f, -0.944100258491272770f, -0.329658462528587210f, - -0.943593458161960390f, -0.331106305759876260f, -0.943084437466093490f, - -0.332553369866044220f, -0.942573197601446980f, -0.333999651442009100f, - -0.942059739771017420f, -0.335445147084531490f, -0.941544065183020810f, - -0.336889853392220110f, -0.941026175050889370f, -0.338333766965540910f, - -0.940506070593268410f, -0.339776884406826800f, -0.939983753034013940f, - -0.341219202320282470f, -0.939459223602190030f, -0.342660717311994210f, - -0.938932483532064600f, -0.344101425989938810f, -0.938403534063108280f, - -0.345541324963988760f, -0.937872376439989890f, -0.346980410845923510f, - -0.937339011912574960f, -0.348418680249434560f, -0.936803441735921670f, - -0.349856129790134640f, -0.936265667170278260f, -0.351292756085566980f, - -0.935725689481080370f, -0.352728555755210730f, -0.935183509938947720f, - -0.354163525420490120f, -0.934639129819680780f, -0.355597661704783800f, - -0.934092550404258870f, -0.357030961233430090f, -0.933543772978836280f, - -0.358463420633736370f, -0.932992798834738960f, -0.359895036534988110f, - -0.932439629268462470f, -0.361325805568453950f, -0.931884265581668150f, - -0.362755724367397060f, -0.931326709081180430f, -0.364184789567079890f, - -0.930766961078983820f, -0.365612997804773580f, -0.930205022892219070f, - -0.367040345719767070f, -0.929640895843181210f, -0.368466829953372380f, - -0.929074581259315860f, -0.369892447148933880f, -0.928506080473215590f, - -0.371317193951837430f, -0.927935394822617780f, -0.372741067009515870f, - -0.927362525650401110f, -0.374164062971457820f, -0.926787474304581860f, - -0.375586178489217160f, -0.926210242138311490f, -0.377007410216417930f, - -0.925630830509872830f, -0.378427754808765390f, -0.925049240782677580f, - -0.379847208924051160f, -0.924465474325262710f, -0.381265769222162100f, - -0.923879532511286850f, -0.382683432365089670f, -0.923291416719527640f, - -0.384100195016935100f, -0.922701128333878630f, -0.385516053843918630f, - -0.922108668743345180f, -0.386931005514388530f, -0.921514039342041900f, - -0.388345046698826360f, -0.920917241529189520f, -0.389758174069856240f, - -0.920318276709110590f, -0.391170384302253820f, -0.919717146291227470f, - -0.392581674072951190f, -0.919113851690057770f, -0.393992040061047930f, - -0.918508394325212250f, -0.395401478947816300f, -0.917900775621390610f, - -0.396809987416710030f, -0.917290997008378020f, -0.398217562153373450f, - -0.916679059921042700f, -0.399624199845646840f, -0.916064965799331830f, - -0.401029897183575400f, -0.915448716088267830f, -0.402434650859418370f, - -0.914830312237946090f, -0.403838457567654190f, -0.914209755703530690f, - -0.405241314004989690f, -0.913587047945250810f, -0.406643216870368970f, - -0.912962190428398320f, -0.408044162864978350f, -0.912335184623322860f, - -0.409444148692257430f, -0.911706032005429880f, -0.410843171057903910f, - -0.911074734055176470f, -0.412241226669882610f, -0.910441292258067250f, - -0.413638312238434390f, -0.909805708104652220f, -0.415034424476081630f, - -0.909167983090522490f, -0.416429560097636930f, -0.908528118716306230f, - -0.417823715820212220f, -0.907886116487666150f, -0.419216888363224020f, - -0.907241977915295930f, -0.420609074448402340f, -0.906595704514915450f, - -0.422000270799799630f, -0.905947297807268570f, -0.423390474143795710f, - -0.905296759318118820f, -0.424779681209108640f, -0.904644090578246240f, - -0.426167888726799620f, -0.903989293123443450f, -0.427555093430281810f, - -0.903332368494511930f, -0.428941292055329380f, -0.902673318237258830f, - -0.430326481340082670f, -0.902012143902493290f, -0.431710658025057040f, - -0.901348847046022030f, -0.433093818853151850f, -0.900683429228646860f, - -0.434475960569655760f, -0.900015892016160280f, -0.435857079922255310f, - -0.899346236979341570f, -0.437237173661044030f, -0.898674465693954040f, - -0.438616238538527330f, -0.898000579740739880f, -0.439994271309633090f, - -0.897324580705418320f, -0.441371268731716670f, -0.896646470178680380f, - -0.442747227564569750f, -0.895966249756185220f, -0.444122144570429090f, - -0.895283921038557470f, -0.445496016513981740f, -0.894599485631382810f, - -0.446868840162373940f, -0.893912945145203250f, -0.448240612285219830f, - -0.893224301195515320f, -0.449611329654606650f, -0.892533555402764690f, - -0.450980989045103640f, -0.891840709392342720f, -0.452349587233770830f, - -0.891145764794583410f, -0.453717121000163540f, -0.890448723244757990f, - -0.455083587126343670f, -0.889749586383072780f, -0.456448982396883920f, - -0.889048355854664680f, -0.457813303598876950f, -0.888345033309596350f, - -0.459176547521943980f, -0.887639620402853930f, -0.460538710958240060f, - -0.886932118794342310f, -0.461899790702462510f, -0.886222530148880640f, - -0.463259783551860090f, -0.885510856136199950f, -0.464618686306237870f, - -0.884797098430937900f, -0.465976495767965960f, -0.884081258712634990f, - -0.467333208741988360f, -0.883363338665731800f, -0.468688822035827620f, - -0.882643339979562900f, -0.470043332459595450f, -0.881921264348355050f, - -0.471396736825997640f, -0.881197113471222200f, -0.472749031950342510f, - -0.880470889052160870f, -0.474100214650549860f, -0.879742592800047410f, - -0.475450281747155920f, -0.879012226428633640f, -0.476799230063321870f, - -0.878279791656541580f, -0.478147056424842950f, -0.877545290207261240f, - -0.479493757660153060f, -0.876808723809145760f, -0.480839330600333740f, - -0.876070094195406600f, -0.482183772079122660f, -0.875329403104111000f, - -0.483527078932918410f, -0.874586652278176220f, -0.484869248000790950f, - -0.873841843465366860f, -0.486210276124486360f, -0.873094978418290200f, - -0.487550160148435660f, -0.872346058894391540f, -0.488888896919763060f, - -0.871595086655950980f, -0.490226483288291160f, -0.870842063470079090f, - -0.491562916106549730f, -0.870086991108711460f, -0.492898192229783930f, - -0.869329871348606730f, -0.494232308515959780f, -0.868570705971341010f, - -0.495565261825772320f, -0.867809496763303320f, -0.496897049022654470f, - -0.867046245515692870f, -0.498227666972781540f, -0.866280954024513110f, - -0.499557112545081730f, -0.865513624090569090f, -0.500885382611240710f, - -0.864744257519462490f, -0.502212474045710570f, -0.863972856121586810f, - -0.503538383725717460f, -0.863199421712124160f, -0.504863108531267590f, - -0.862423956111040720f, -0.506186645345155010f, -0.861646461143081410f, - -0.507508991052970760f, -0.860866938637767310f, -0.508830142543107100f, - -0.860085390429390250f, -0.510150096706766590f, -0.859301818357008470f, - -0.511468850437970300f, -0.858516224264442960f, -0.512786400633562730f, - -0.857728610000272120f, -0.514102744193221550f, -0.856938977417828760f, - -0.515417878019462930f, -0.856147328375194690f, -0.516731799017649650f, - -0.855353664735196140f, -0.518044504095999230f, -0.854557988365400530f, - -0.519355990165589640f, -0.853760301138111520f, -0.520666254140366940f, - -0.852960604930363740f, -0.521975292937154280f, -0.852158901623919830f, - -0.523283103475656430f, -0.851355193105265310f, -0.524589682678468730f, - -0.850549481265603480f, -0.525895027471084630f, -0.849741768000852660f, - -0.527199134781901060f, -0.848932055211639720f, -0.528502001542228260f, - -0.848120344803297230f, -0.529803624686294610f, -0.847306638685858540f, - -0.531104001151254670f, -0.846490938774052130f, -0.532403127877197790f, - -0.845673246987299070f, -0.533701001807152960f, -0.844853565249707230f, - -0.534997619887096930f, -0.844031895490066520f, -0.536292979065963070f, - -0.843208239641845440f, -0.537587076295645510f, -0.842382599643185960f, - -0.538879908531008200f, -0.841554977436898440f, -0.540171472729892850f, - -0.840725374970458180f, -0.541461765853123220f, -0.839893794195999630f, - -0.542750784864515780f, -0.839060237070312740f, -0.544038526730883820f, - -0.838224705554838190f, -0.545324988422046130f, -0.837387201615662050f, - -0.546610166910834750f, -0.836547727223512010f, -0.547894059173100190f, - -0.835706284353752720f, -0.549176662187719540f, -0.834862874986380120f, - -0.550457972936604700f, -0.834017501106018130f, -0.551737988404707450f, - -0.833170164701913300f, -0.553016705580027360f, -0.832320867767929680f, - -0.554294121453620000f, -0.831469612302545460f, -0.555570233019601960f, - -0.830616400308846430f, -0.556845037275159880f, -0.829761233794523050f, - -0.558118531220556100f, -0.828904114771865100f, -0.559390711859135800f, - -0.828045045257755800f, -0.560661576197335920f, -0.827184027273669130f, - -0.561931121244689360f, -0.826321062845663650f, -0.563199344013833870f, - -0.825456154004377550f, -0.564466241520519390f, -0.824589302785025290f, - -0.565731810783613230f, -0.823720511227391540f, -0.566996048825108460f, - -0.822849781375826430f, -0.568258952670131490f, -0.821977115279241550f, - -0.569520519346947250f, -0.821102514991104760f, -0.570780745886967140f, - -0.820225982569434690f, -0.572039629324757050f, -0.819347520076797120f, - -0.573297166698041980f, -0.818467129580298770f, -0.574553355047715650f, - -0.817584813151583710f, -0.575808191417845340f, -0.816700572866827960f, - -0.577061672855679330f, -0.815814410806733890f, -0.578313796411655480f, - -0.814926329056526620f, -0.579564559139405740f, -0.814036329705948520f, - -0.580813958095764300f, -0.813144414849253590f, -0.582061990340775440f, - -0.812250586585203880f, -0.583308652937698400f, -0.811354847017063840f, - -0.584553942953015100f, -0.810457198252594770f, -0.585797857456438860f, - -0.809557642404051480f, -0.587040393520917750f, -0.808656181588175090f, - -0.588281548222645110f, -0.807752817926190360f, -0.589521318641063940f, - -0.806847553543799450f, -0.590759701858873940f, -0.805940390571176390f, - -0.591996694962040880f, -0.805031331142963550f, -0.593232295039799800f, - -0.804120377398265920f, -0.594466499184664210f, -0.803207531480644940f, - -0.595699304492433250f, -0.802292795538115720f, -0.596930708062196500f, - -0.801376171723140350f, -0.598160706996342160f, -0.800457662192622820f, - -0.599389298400564540f, -0.799537269107905240f, -0.600616479383868640f, - -0.798614994634760930f, -0.601842247058579920f, -0.797690840943391160f, - -0.603066598540348160f, -0.796764810208418940f, -0.604289530948155850f, - -0.795836904608883570f, -0.605511041404325430f, -0.794907126328236900f, - -0.606731127034524480f, -0.793975477554337280f, -0.607949784967773410f, - -0.793041960479443750f, -0.609167012336453100f, -0.792106577300212280f, - -0.610382806276309480f, -0.791169330217690310f, -0.611597163926461800f, - -0.790230221437310140f, -0.612810082429409710f, -0.789289253168885870f, - -0.614021558931038160f, -0.788346427626606340f, -0.615231590580626710f, - -0.787401747029031430f, -0.616440174530853650f, -0.786455213599085990f, - -0.617647307937803650f, -0.785506829564054040f, -0.618852987960976210f, - -0.784556597155575240f, -0.620057211763289210f, -0.783604518609638420f, - -0.621259976511087440f, -0.782650596166575840f, -0.622461279374149860f, - -0.781694832071059390f, -0.623661117525694640f, -0.780737228572094600f, - -0.624859488142386230f, -0.779777787923014550f, -0.626056388404343520f, - -0.778816512381476200f, -0.627251815495143860f, -0.777853404209453150f, - -0.628445766601832600f, -0.776888465673232440f, -0.629638238914926980f, - -0.775921699043407800f, -0.630829229628424250f, -0.774953106594873930f, - -0.632018735939808950f, -0.773982690606822790f, -0.633206755050057300f, - -0.773010453362737100f, -0.634393284163645270f, -0.772036397150384520f, - -0.635578320488556110f, -0.771060524261813710f, -0.636761861236284310f, - -0.770082836993348120f, -0.637943903621843940f, -0.769103337645579700f, - -0.639124444863775730f, -0.768122028523365640f, -0.640303482184151450f, - -0.767138911935820510f, -0.641481012808583050f, -0.766153990196312920f, - -0.642657033966226860f, -0.765167265622459070f, -0.643831542889791280f, - -0.764178740536116790f, -0.645004536815543820f, -0.763188417263381270f, - -0.646176012983316390f, -0.762196298134579120f, -0.647345968636511840f, - -0.761202385484261890f, -0.648514401022112330f, -0.760206681651202420f, - -0.649681307390683190f, -0.759209188978388180f, -0.650846684996380760f, - -0.758209909813015280f, -0.652010531096959500f, -0.757208846506484790f, - -0.653172842953776530f, -0.756206001414394650f, -0.654333617831800330f, - -0.755201376896536550f, -0.655492852999615350f, -0.754194975316889390f, - -0.656650545729428830f, -0.753186799043612630f, -0.657806693297078530f, - -0.752176850449042700f, -0.658961292982037320f, -0.751165131909686590f, - -0.660114342067420260f, -0.750151645806215070f, -0.661265837839992150f, - -0.749136394523459260f, -0.662415777590171780f, -0.748119380450403710f, - -0.663564158612039660f, -0.747100605980180130f, -0.664710978203344790f, - -0.746080073510064000f, -0.665856233665509390f, -0.745057785441466060f, - -0.666999922303637360f, -0.744033744179929290f, -0.668142041426518450f, - -0.743007952135121940f, -0.669282588346635790f, -0.741980411720831070f, - -0.670421560380172980f, -0.740951125354959110f, -0.671558954847018440f, - -0.739920095459516310f, -0.672694769070772750f, -0.738887324460615220f, - -0.673829000378756040f, -0.737852814788465980f, -0.674961646102012040f, - -0.736816568877370020f, -0.676092703575315810f, -0.735778589165713590f, - -0.677222170137180330f, -0.734738878095963720f, -0.678350043129861250f, - -0.733697438114660370f, -0.679476319899364860f, -0.732654271672412820f, - -0.680600997795453020f, -0.731609381223892740f, -0.681724074171649600f, - -0.730562769227827700f, -0.682845546385247970f, -0.729514438146997010f, - -0.683965411797315400f, -0.728464390448225420f, -0.685083667772700130f, - -0.727412628602375880f, -0.686200311680038480f, -0.726359155084345900f, - -0.687315340891759160f, -0.725303972373060880f, -0.688428752784090330f, - -0.724247082951467000f, -0.689540544737066830f, -0.723188489306527680f, - -0.690650714134534380f, -0.722128193929215460f, -0.691759258364157640f, - -0.721066199314508110f, -0.692866174817424630f, -0.720002507961381880f, - -0.693971460889653780f, -0.718937122372804490f, -0.695075113980000770f, - -0.717870045055731710f, -0.696177131491462990f, -0.716801278521099650f, - -0.697277510830886400f, -0.715730825283818710f, -0.698376249408972800f, - -0.714658687862768980f, -0.699473344640283880f, -0.713584868780793750f, - -0.700568793943248220f, -0.712509370564692320f, -0.701662594740168450f, - -0.711432195745216660f, -0.702754744457225080f, -0.710353346857062420f, - -0.703845240524484830f, -0.709272826438865690f, -0.704934080375904880f, - -0.708190637033195510f, -0.706021261449339520f, -0.707106781186547680f, - -0.707106781186547460f, -0.706021261449339740f, -0.708190637033195290f, - -0.704934080375905100f, -0.709272826438865470f, -0.703845240524485050f, - -0.710353346857062310f, -0.702754744457225300f, -0.711432195745216430f, - -0.701662594740168680f, -0.712509370564692210f, -0.700568793943248450f, - -0.713584868780793520f, -0.699473344640284100f, -0.714658687862768760f, - -0.698376249408973030f, -0.715730825283818480f, -0.697277510830886630f, - -0.716801278521099540f, -0.696177131491463210f, -0.717870045055731490f, - -0.695075113980000990f, -0.718937122372804380f, -0.693971460889654000f, - -0.720002507961381650f, -0.692866174817424850f, -0.721066199314507880f, - -0.691759258364157860f, -0.722128193929215230f, -0.690650714134534600f, - -0.723188489306527460f, -0.689540544737067050f, -0.724247082951466780f, - -0.688428752784090550f, -0.725303972373060660f, -0.687315340891759390f, - -0.726359155084345680f, -0.686200311680038700f, -0.727412628602375650f, - -0.685083667772700360f, -0.728464390448225200f, -0.683965411797315630f, - -0.729514438146996790f, -0.682845546385248190f, -0.730562769227827480f, - -0.681724074171649820f, -0.731609381223892520f, -0.680600997795453240f, - -0.732654271672412590f, -0.679476319899365080f, -0.733697438114660150f, - -0.678350043129861470f, -0.734738878095963500f, -0.677222170137180560f, - -0.735778589165713370f, -0.676092703575316030f, -0.736816568877369790f, - -0.674961646102012260f, -0.737852814788465760f, -0.673829000378756260f, - -0.738887324460615000f, -0.672694769070772970f, -0.739920095459516090f, - -0.671558954847018660f, -0.740951125354958880f, -0.670421560380173200f, - -0.741980411720830960f, -0.669282588346636120f, -0.743007952135121720f, - -0.668142041426518670f, -0.744033744179929070f, -0.666999922303637580f, - -0.745057785441465840f, -0.665856233665509610f, -0.746080073510063780f, - -0.664710978203345020f, -0.747100605980180020f, -0.663564158612039880f, - -0.748119380450403490f, -0.662415777590172010f, -0.749136394523459040f, - -0.661265837839992380f, -0.750151645806214960f, -0.660114342067420480f, - -0.751165131909686370f, -0.658961292982037540f, -0.752176850449042480f, - -0.657806693297078750f, -0.753186799043612410f, -0.656650545729429050f, - -0.754194975316889170f, -0.655492852999615570f, -0.755201376896536320f, - -0.654333617831800660f, -0.756206001414394420f, -0.653172842953777090f, - -0.757208846506484230f, -0.652010531096959720f, -0.758209909813015170f, - -0.650846684996380990f, -0.759209188978387960f, -0.649681307390683080f, - -0.760206681651202420f, -0.648514401022112220f, -0.761202385484262000f, - -0.647345968636512500f, -0.762196298134578560f, -0.646176012983316620f, - -0.763188417263381050f, -0.645004536815544040f, -0.764178740536116560f, - -0.643831542889791500f, -0.765167265622458960f, -0.642657033966226750f, - -0.766153990196313030f, -0.641481012808583610f, -0.767138911935820070f, - -0.640303482184152010f, -0.768122028523365090f, -0.639124444863775950f, - -0.769103337645579480f, -0.637943903621844170f, -0.770082836993347900f, - -0.636761861236284200f, -0.771060524261813820f, -0.635578320488556000f, - -0.772036397150384630f, -0.634393284163645930f, -0.773010453362736660f, - -0.633206755050057520f, -0.773982690606822570f, -0.632018735939809170f, - -0.774953106594873820f, -0.630829229628424580f, -0.775921699043407580f, - -0.629638238914926870f, -0.776888465673232550f, -0.628445766601833160f, - -0.777853404209452700f, -0.627251815495144420f, -0.778816512381475650f, - -0.626056388404343740f, -0.779777787923014330f, -0.624859488142386450f, - -0.780737228572094380f, -0.623661117525694530f, -0.781694832071059500f, - -0.622461279374149750f, -0.782650596166575840f, -0.621259976511088000f, - -0.783604518609637980f, -0.620057211763289430f, -0.784556597155575020f, - -0.618852987960976430f, -0.785506829564053820f, -0.617647307937803980f, - -0.786455213599085770f, -0.616440174530853540f, -0.787401747029031430f, - -0.615231590580627260f, -0.788346427626605890f, -0.614021558931038710f, - -0.789289253168885430f, -0.612810082429409930f, -0.790230221437309920f, - -0.611597163926462020f, -0.791169330217690090f, -0.610382806276309360f, - -0.792106577300212390f, -0.609167012336452980f, -0.793041960479443860f, - -0.607949784967774080f, -0.793975477554336840f, -0.606731127034524810f, - -0.794907126328236790f, -0.605511041404325660f, -0.795836904608883460f, - -0.604289530948156070f, -0.796764810208418720f, -0.603066598540348050f, - -0.797690840943391160f, -0.601842247058580470f, -0.798614994634760490f, - -0.600616479383869310f, -0.799537269107904790f, -0.599389298400564760f, - -0.800457662192622600f, -0.598160706996342380f, -0.801376171723140130f, - -0.596930708062196390f, -0.802292795538115720f, -0.595699304492433130f, - -0.803207531480645050f, -0.594466499184664880f, -0.804120377398265470f, - -0.593232295039800130f, -0.805031331142963440f, -0.591996694962041100f, - -0.805940390571176170f, -0.590759701858874280f, -0.806847553543799220f, - -0.589521318641063830f, -0.807752817926190470f, -0.588281548222645780f, - -0.808656181588174650f, -0.587040393520918300f, -0.809557642404051040f, - -0.585797857456439090f, -0.810457198252594660f, -0.584553942953015330f, - -0.811354847017063730f, -0.583308652937698290f, -0.812250586585203990f, - -0.582061990340775330f, -0.813144414849253700f, -0.580813958095764970f, - -0.814036329705948080f, -0.579564559139405970f, -0.814926329056526400f, - -0.578313796411655700f, -0.815814410806733670f, -0.577061672855679550f, - -0.816700572866827730f, -0.575808191417845230f, -0.817584813151583820f, - -0.574553355047716320f, -0.818467129580298320f, -0.573297166698042540f, - -0.819347520076796680f, -0.572039629324757270f, -0.820225982569434460f, - -0.570780745886967370f, -0.821102514991104650f, -0.569520519346947140f, - -0.821977115279241550f, -0.568258952670131380f, -0.822849781375826430f, - -0.566996048825109010f, -0.823720511227391090f, -0.565731810783613450f, - -0.824589302785025070f, -0.564466241520519610f, -0.825456154004377440f, - -0.563199344013834090f, -0.826321062845663420f, -0.561931121244689250f, - -0.827184027273669240f, -0.560661576197336480f, -0.828045045257755460f, - -0.559390711859136470f, -0.828904114771864650f, -0.558118531220556320f, - -0.829761233794522930f, -0.556845037275160100f, -0.830616400308846200f, - -0.555570233019602180f, -0.831469612302545240f, -0.554294121453619890f, - -0.832320867767929800f, -0.553016705580027910f, -0.833170164701912960f, - -0.551737988404707670f, -0.834017501106017910f, -0.550457972936604920f, - -0.834862874986380010f, -0.549176662187719770f, -0.835706284353752600f, - -0.547894059173100080f, -0.836547727223512120f, -0.546610166910835420f, - -0.837387201615661600f, -0.545324988422046800f, -0.838224705554837860f, - -0.544038526730884150f, -0.839060237070312520f, -0.542750784864516000f, - -0.839893794195999410f, -0.541461765853123440f, -0.840725374970458070f, - -0.540171472729892740f, -0.841554977436898550f, -0.538879908531008870f, - -0.842382599643185630f, -0.537587076295645730f, -0.843208239641845210f, - -0.536292979065963290f, -0.844031895490066300f, -0.534997619887097260f, - -0.844853565249707010f, -0.533701001807152850f, -0.845673246987299180f, - -0.532403127877198460f, -0.846490938774051790f, -0.531104001151255330f, - -0.847306638685858090f, -0.529803624686294940f, -0.848120344803297120f, - -0.528502001542228590f, -0.848932055211639610f, -0.527199134781901280f, - -0.849741768000852550f, -0.525895027471084520f, -0.850549481265603590f, - -0.524589682678469390f, -0.851355193105264860f, -0.523283103475656760f, - -0.852158901623919610f, -0.521975292937154500f, -0.852960604930363520f, - -0.520666254140367160f, -0.853760301138111410f, -0.519355990165589420f, - -0.854557988365400640f, -0.518044504095999890f, -0.855353664735195700f, - -0.516731799017650210f, -0.856147328375194250f, -0.515417878019463260f, - -0.856938977417828540f, -0.514102744193221770f, -0.857728610000272010f, - -0.512786400633562960f, -0.858516224264442850f, -0.511468850437970190f, - -0.859301818357008470f, -0.510150096706767250f, -0.860085390429389920f, - -0.508830142543107320f, -0.860866938637767090f, -0.507508991052970980f, - -0.861646461143081190f, -0.506186645345155340f, -0.862423956111040500f, - -0.504863108531267370f, -0.863199421712124270f, -0.503538383725718020f, - -0.863972856121586470f, -0.502212474045711120f, -0.864744257519462160f, - -0.500885382611241050f, -0.865513624090568980f, -0.499557112545082000f, - -0.866280954024512880f, -0.498227666972781810f, -0.867046245515692650f, - -0.496897049022654360f, -0.867809496763303320f, -0.495565261825772980f, - -0.868570705971340670f, -0.494232308515960060f, -0.869329871348606620f, - -0.492898192229784200f, -0.870086991108711350f, -0.491562916106549950f, - -0.870842063470078860f, -0.490226483288291050f, -0.871595086655951090f, - -0.488888896919763730f, -0.872346058894391210f, -0.487550160148436330f, - -0.873094978418289870f, -0.486210276124486640f, -0.873841843465366750f, - -0.484869248000791180f, -0.874586652278176110f, -0.483527078932918690f, - -0.875329403104110890f, -0.482183772079122550f, -0.876070094195406710f, - -0.480839330600334400f, -0.876808723809145430f, -0.479493757660153340f, - -0.877545290207261130f, -0.478147056424843230f, -0.878279791656541460f, - -0.476799230063322140f, -0.879012226428633410f, -0.475450281747155760f, - -0.879742592800047520f, -0.474100214650550520f, -0.880470889052160530f, - -0.472749031950343180f, -0.881197113471221870f, -0.471396736825997860f, - -0.881921264348354940f, -0.470043332459595730f, -0.882643339979562680f, - -0.468688822035827900f, -0.883363338665731580f, -0.467333208741988250f, - -0.884081258712635100f, -0.465976495767966630f, -0.884797098430937570f, - -0.464618686306238150f, -0.885510856136199730f, -0.463259783551860370f, - -0.886222530148880530f, -0.461899790702462790f, -0.886932118794342190f, - -0.460538710958239890f, -0.887639620402854050f, -0.459176547521944640f, - -0.888345033309596020f, -0.457813303598877620f, -0.889048355854664350f, - -0.456448982396884200f, -0.889749586383072670f, -0.455083587126343950f, - -0.890448723244757880f, -0.453717121000163810f, -0.891145764794583290f, - -0.452349587233770670f, -0.891840709392342830f, -0.450980989045104310f, - -0.892533555402764360f, -0.449611329654606930f, -0.893224301195515210f, - -0.448240612285220110f, -0.893912945145203140f, -0.446868840162374210f, - -0.894599485631382700f, -0.445496016513981630f, -0.895283921038557580f, - -0.444122144570429760f, -0.895966249756184880f, -0.442747227564570410f, - -0.896646470178680040f, -0.441371268731716950f, -0.897324580705418210f, - -0.439994271309633370f, -0.898000579740739770f, -0.438616238538527600f, - -0.898674465693953820f, -0.437237173661043920f, -0.899346236979341680f, - -0.435857079922255970f, -0.900015892016159950f, -0.434475960569656040f, - -0.900683429228646750f, -0.433093818853152120f, -0.901348847046021920f, - -0.431710658025057310f, -0.902012143902493180f, -0.430326481340082500f, - -0.902673318237258830f, -0.428941292055330050f, -0.903332368494511600f, - -0.427555093430282470f, -0.903989293123443120f, -0.426167888726799890f, - -0.904644090578246130f, -0.424779681209108920f, -0.905296759318118700f, - -0.423390474143795990f, -0.905947297807268460f, -0.422000270799799520f, - -0.906595704514915450f, -0.420609074448403010f, -0.907241977915295590f, - -0.419216888363224290f, -0.907886116487666040f, -0.417823715820212490f, - -0.908528118716306010f, -0.416429560097637210f, -0.909167983090522380f, - -0.415034424476081520f, -0.909805708104652330f, -0.413638312238435110f, - -0.910441292258066910f, -0.412241226669883280f, -0.911074734055176140f, - -0.410843171057904190f, -0.911706032005429770f, -0.409444148692257760f, - -0.912335184623322750f, -0.408044162864978630f, -0.912962190428398210f, - -0.406643216870368810f, -0.913587047945250920f, -0.405241314004990360f, - -0.914209755703530470f, -0.403838457567654460f, -0.914830312237945980f, - -0.402434650859418650f, -0.915448716088267720f, -0.401029897183575680f, - -0.916064965799331720f, -0.399624199845646730f, -0.916679059921042700f, - -0.398217562153374170f, -0.917290997008377680f, -0.396809987416710750f, - -0.917900775621390270f, -0.395401478947816580f, -0.918508394325212140f, - -0.393992040061048210f, -0.919113851690057660f, -0.392581674072951470f, - -0.919717146291227360f, -0.391170384302253700f, -0.920318276709110590f, - -0.389758174069856970f, -0.920917241529189300f, -0.388345046698826630f, - -0.921514039342041790f, -0.386931005514388800f, -0.922108668743345070f, - -0.385516053843918900f, -0.922701128333878520f, -0.384100195016934930f, - -0.923291416719527640f, -0.382683432365090340f, -0.923879532511286520f, - -0.381265769222162760f, -0.924465474325262490f, -0.379847208924051440f, - -0.925049240782677470f, -0.378427754808765730f, -0.925630830509872720f, - -0.377007410216418200f, -0.926210242138311380f, -0.375586178489217050f, - -0.926787474304581860f, -0.374164062971458490f, -0.927362525650400890f, - -0.372741067009516150f, -0.927935394822617670f, -0.371317193951837770f, - -0.928506080473215480f, -0.369892447148934160f, -0.929074581259315750f, - -0.368466829953372210f, -0.929640895843181330f, -0.367040345719766960f, - -0.930205022892219180f, -0.365612997804774300f, -0.930766961078983600f, - -0.364184789567080170f, -0.931326709081180320f, -0.362755724367397340f, - -0.931884265581668040f, -0.361325805568454230f, -0.932439629268462360f, - -0.359895036534987940f, -0.932992798834738960f, -0.358463420633737040f, - -0.933543772978835950f, -0.357030961233430370f, -0.934092550404258760f, - -0.355597661704784070f, -0.934639129819680670f, -0.354163525420490450f, - -0.935183509938947610f, -0.352728555755210620f, -0.935725689481080370f, - -0.351292756085566870f, -0.936265667170278370f, -0.349856129790135360f, - -0.936803441735921450f, -0.348418680249434840f, -0.937339011912574850f, - -0.346980410845923790f, -0.937872376439989770f, -0.345541324963989040f, - -0.938403534063108170f, -0.344101425989938650f, -0.938932483532064600f, - -0.342660717311994880f, -0.939459223602189700f, -0.341219202320282740f, - -0.939983753034013820f, -0.339776884406827070f, -0.940506070593268300f, - -0.338333766965541240f, -0.941026175050889260f, -0.336889853392219940f, - -0.941544065183020810f, -0.335445147084531380f, -0.942059739771017420f, - -0.333999651442009830f, -0.942573197601446760f, -0.332553369866044500f, - -0.943084437466093380f, -0.331106305759876540f, -0.943593458161960270f, - -0.329658462528587490f, -0.944100258491272660f, -0.328209843579092330f, - -0.944604837261480370f, -0.326760452320132290f, -0.945107193285260380f, - -0.325310292162263310f, -0.945607325380521170f, -0.323859366517853080f, - -0.946105232370403340f, -0.322407678801069910f, -0.946600913083283530f, - -0.320955232427875160f, -0.947094366352777220f, -0.319502030816015410f, - -0.947585591017741200f, -0.318048077385015390f, -0.948074585922276110f, - -0.316593375556166180f, -0.948561349915730160f, -0.315137928752522560f, - -0.949045881852700560f, -0.313681740398891460f, -0.949528180593036670f, - -0.312224813921824770f, -0.950008245001843110f, -0.310767152749612030f, - -0.950486073949481590f, -0.309308760312269060f, -0.950961666311574970f, - -0.307849640041535090f, -0.951435020969008340f, -0.306389795370861030f, - -0.951906136807932350f, -0.304929229735402320f, -0.952375012719765880f, - -0.303467946572011040f, -0.952841647601198720f, -0.302005949319228530f, - -0.953306040354193750f, -0.300543241417273730f, -0.953768189885990210f, - -0.299079826308040590f, -0.954228095109105560f, -0.297615707435086200f, - -0.954685754941338340f, -0.296150888243623680f, -0.955141168305770780f, - -0.294685372180514880f, -0.955594334130770880f, -0.293219162694259020f, - -0.956045251349996290f, -0.291752263234989480f, -0.956493918902394990f, - -0.290284677254462440f, -0.956940335732208820f, -0.288816408206049370f, - -0.957384500788975970f, -0.287347459544729290f, -0.957826413027533020f, - -0.285877834727081060f, -0.958266071408017560f, -0.284407537211272150f, - -0.958703474895871490f, -0.282936570457055500f, -0.959138622461841890f, - -0.281464937925757940f, -0.959571513081984520f, -0.279992643080273050f, - -0.960002145737665960f, -0.278519689385053610f, -0.960430519415565680f, - -0.277046080306100280f, -0.960856633107679550f, -0.275571819310958370f, - -0.961280485811320530f, -0.274096909868706440f, -0.961702076529122540f, - -0.272621355449948870f, -0.962121404269041580f, -0.271145159526807790f, - -0.962538468044359270f, -0.269668325572915530f, -0.962953266873683770f, - -0.268190857063403510f, -0.963365799780953940f, -0.266712757474898530f, - -0.963776065795439840f, -0.265234030285511790f, -0.964184063951745830f, - -0.263754678974831240f, -0.964589793289812760f, -0.262274707023914140f, - -0.964993252854920210f, -0.260794117915275900f, -0.965394441697689290f, - -0.259312915132886460f, -0.965793358874083570f, -0.257831102162159040f, - -0.966190003445412500f, -0.256348682489942800f, -0.966584374478333120f, - -0.254865659604514350f, -0.966976471044852180f, -0.253382036995570600f, - -0.967366292222328390f, -0.251897818154217250f, -0.967753837093475400f, - -0.250413006572965390f, -0.968139104746362330f, -0.248927605745720150f, - -0.968522094274417270f, -0.247441619167773130f, -0.968902804776428870f, - -0.245955050335795150f, -0.969281235356548310f, -0.244467902747824540f, - -0.969657385124292340f, -0.242980179903264120f, -0.970031253194543970f, - -0.241491885302869410f, -0.970402838687555500f, -0.240003022448741390f, - -0.970772140728950350f, -0.238513594844318190f, -0.971139158449725200f, - -0.237023605994367670f, -0.971503890986251670f, -0.235533059404975790f, - -0.971866337480279290f, -0.234041958583543570f, -0.972226497078936270f, - -0.232550307038775220f, -0.972584368934732210f, -0.231058108280670940f, - -0.972939952205560180f, -0.229565365820519420f, -0.973293246054698140f, - -0.228072083170886120f, -0.973644249650811870f, -0.226578263845610220f, - -0.973992962167955830f, -0.225083911359792920f, -0.974339382785575860f, - -0.223589029229789900f, -0.974683510688510670f, -0.222093620973203290f, - -0.975025345066994230f, -0.220597690108873980f, -0.975364885116656870f, - -0.219101240156870100f, -0.975702130038528460f, -0.217604274638483780f, - -0.976037079039039020f, -0.216106797076219490f, -0.976369731330021140f, - -0.214608810993786620f, -0.976700086128711840f, -0.213110319916091920f, - -0.977028142657754280f, -0.211611327369227970f, -0.977353900145199960f, - -0.210111836880469860f, -0.977677357824509930f, -0.208611851978263570f, - -0.977998514934557030f, -0.207111376192218480f, -0.978317370719627650f, - -0.205610413053099020f, -0.978633924429423210f, -0.204108966092817340f, - -0.978948175319062090f, -0.202607038844421440f, -0.979260122649082020f, - -0.201104634842092070f, -0.979569765685440520f, -0.199601757621130970f, - -0.979877103699517640f, -0.198098410717953420f, -0.980182135968117430f, - -0.196594597670080780f, -0.980484861773469270f, -0.195090322016128660f, - -0.980785280403230320f, -0.193585587295803860f, -0.981083391150486590f, - -0.192080397049892520f, -0.981379193313754560f, -0.190574754820252680f, - -0.981672686196983110f, -0.189068664149805970f, -0.981963869109555350f, - -0.187562128582530070f, -0.982252741366289370f, -0.186055151663446970f, - -0.982539302287441240f, -0.184547736938619780f, -0.982823551198705240f, - -0.183039887955140950f, -0.983105487431216290f, -0.181531608261124830f, - -0.983385110321551290f, -0.180022901405700070f, -0.983662419211730140f, - -0.178513770938997920f, -0.983937413449218810f, -0.177004220412149000f, - -0.984210092386929030f, -0.175494253377271510f, -0.984480455383220930f, - -0.173983873387463740f, -0.984748501801904210f, -0.172473083996795730f, - -0.985014231012239840f, -0.170961888760301690f, -0.985277642388941110f, - -0.169450291233968290f, -0.985538735312176060f, -0.167938294974731340f, - -0.985797509167567370f, -0.166425903540464100f, -0.986053963346195440f, - -0.164913120489969760f, -0.986308097244598670f, -0.163399949382973780f, - -0.986559910264775410f, -0.161886393780112240f, -0.986809401814185420f, - -0.160372457242928510f, -0.987056571305750970f, -0.158858143333861530f, - -0.987301418157858320f, -0.157343455616238190f, -0.987543941794359340f, - -0.155828397654264980f, -0.987784141644572180f, -0.154312973013020580f, - -0.988022017143283530f, -0.152797185258443740f, -0.988257567730749460f, - -0.151281037957330360f, -0.988490792852696590f, -0.149764534677321510f, - -0.988721691960323780f, -0.148247678986895890f, -0.988950264510302990f, - -0.146730474455362300f, -0.989176509964780900f, -0.145212924652847850f, - -0.989400427791380270f, -0.143695033150294690f, -0.989622017463200780f, - -0.142176803519448140f, -0.989841278458820530f, -0.140658239332849160f, - -0.990058210262297120f, -0.139139344163825980f, -0.990272812363169110f, - -0.137620121586486540f, -0.990485084256456980f, -0.136100575175706530f, - -0.990695025442664630f, -0.134580708507126360f, -0.990902635427780010f, - -0.133060525157139060f, -0.991107913723276890f, -0.131540028702882950f, - -0.991310859846115440f, -0.130019222722233930f, -0.991511473318743900f, - -0.128498110793793590f, -0.991709753669099530f, -0.126976696496886120f, - -0.991905700430609330f, -0.125454983411546320f, -0.992099313142191800f, - -0.123932975118512090f, -0.992290591348257370f, -0.122410675199215960f, - -0.992479534598710080f, -0.120888087235777570f, -0.992666142448947910f, - -0.119365214810991690f, -0.992850414459865100f, -0.117842061508325140f, - -0.993032350197851410f, -0.116318630911904770f, -0.993211949234794500f, - -0.114794926606509930f, -0.993389211148080650f, -0.113270952177564920f, - -0.993564135520595300f, -0.111746711211127000f, -0.993736721940724600f, - -0.110222207293883310f, -0.993906970002356060f, -0.108697444013138800f, - -0.994074879304879370f, -0.107172424956808770f, -0.994240449453187900f, - -0.105647153713410380f, -0.994403680057679100f, -0.104121633872055070f, - -0.994564570734255420f, -0.102595869022436610f, -0.994723121104325700f, - -0.101069862754827990f, -0.994879330794805620f, -0.099543618660069347f, - -0.995033199438118630f, -0.098017140329560451f, -0.995184726672196930f, - -0.096490431355253162f, -0.995333912140482170f, -0.094963495329639408f, - -0.995480755491926940f, -0.093436335845748036f, -0.995625256380994310f, - -0.091908956497132821f, -0.995767414467659820f, -0.090381360877864914f, - -0.995907229417411720f, -0.088853552582524364f, -0.996044700901251970f, - -0.087325535206192559f, -0.996179828595696870f, -0.085797312344440227f, - -0.996312612182778000f, -0.084268887593324238f, -0.996443051350042630f, - -0.082740264549375706f, -0.996571145790554840f, -0.081211446809592289f, - -0.996696895202896060f, -0.079682437971430695f, -0.996820299291165670f, - -0.078153241632794648f, -0.996941357764982050f, -0.076623861392031742f, - -0.997060070339482960f, -0.075094300847921402f, -0.997176436735326080f, - -0.073564563599667357f, -0.997290456678690210f, -0.072034653246889097f, - -0.997402129901275300f, -0.070504573389614356f, -0.997511456140303450f, - -0.068974327628267079f, -0.997618435138519550f, -0.067443919563664231f, - -0.997723066644191640f, -0.065913352797003832f, -0.997825350411111640f, - -0.064382630929857312f, -0.997925286198596000f, -0.062851757564161989f, - -0.998022873771486130f, -0.061320736302208995f, -0.998118112900149180f, - -0.059789570746640132f, -0.998211003360478190f, -0.058258264500435857f, - -0.998301544933892780f, -0.056726821166907686f, -0.998389737407340160f, - -0.055195244349689712f, -0.998475580573294770f, -0.053663537652731026f, - -0.998559074229759310f, -0.052131704680283657f, -0.998640218180265160f, - -0.050599749036899455f, -0.998719012233872940f, -0.049067674327418029f, - -0.998795456205172410f, -0.047535484156959157f, -0.998869549914283560f, - -0.046003182130915206f, -0.998941293186856870f, -0.044470771854939084f, - -0.999010685854073270f, -0.042938256934941084f, -0.999077727752645360f, - -0.041405640977076837f, -0.999142418724816910f, -0.039872927587739748f, - -0.999204758618363890f, -0.038340120373552472f, -0.999264747286594420f, - -0.036807222941359331f, -0.999322384588349430f, -0.035274238898214294f, - -0.999377670388002850f, -0.033741171851377760f, -0.999430604555461730f, - -0.032208025408304600f, -0.999481186966166950f, -0.030674803176636484f, - -0.999529417501093140f, -0.029141508764194309f, -0.999575296046749220f, - -0.027608145778966163f, -0.999618822495178640f, -0.026074717829104161f, - -0.999659996743959220f, -0.024541228522912389f, -0.999698818696204250f, - -0.023007681468839310f, -0.999735288260561680f, -0.021474080275469286f, - -0.999769405351215280f, -0.019940428551514944f, -0.999801169887884260f, - -0.018406729905805164f, -0.999830581795823400f, -0.016872987947281894f, - -0.999857641005823860f, -0.015339206284988121f, -0.999882347454212560f, - -0.013805388528060250f, -0.999904701082852900f, -0.012271538285720512f, - -0.999924701839144500f, -0.010737659167264916f, -0.999942349676023910f, - -0.009203754782060083f, -0.999957644551963900f, -0.007669828739531199f, - -0.999970586430974140f, -0.006135884649154416f, -0.999981175282601110f, - -0.004601926120448350f, -0.999989411081928400f, -0.003067956762966483f, - -0.999995293809576190f, -0.001533980186285111f, -0.999998823451701880f, +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 }; /* @@ -4630,45 +10909,45 @@ 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, + 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 - */ +* @} 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 + 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 }; /* @@ -4687,3 +10966,5100 @@ 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 +};