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CMSIS DSP library

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cmsis_dsp/ControllerFunctions/arm_sin_cos_q31.c@5:3762170b6d4d, 2015-11-20 (annotated)

Committer:
mbed_official
Date:
Fri Nov 20 08:45:18 2015 +0000
Revision:
5:3762170b6d4d
Parent:
3:7a284390b0ce 
Synchronized with git revision 2eb940b9a73af188d3004a2575fdfbb05febe62b



Full URL: https://github.com/mbedmicro/mbed/commit/2eb940b9a73af188d3004a2575fdfbb05febe62b/



Added option to build rpc library. closes #1426

Who changed what in which revision?

UserRevisionLine numberNew contents of line
emilmont 1:fdd22bb7aa52 1 /* ----------------------------------------------------------------------
mbed_official 5:3762170b6d4d 2 * Copyright (C) 2010-2014 ARM Limited. All rights reserved.
emilmont 1:fdd22bb7aa52 3 *
mbed_official 5:3762170b6d4d 4 * $Date: 19. March 2015
mbed_official 5:3762170b6d4d 5 * $Revision: V.1.4.5
emilmont 1:fdd22bb7aa52 6 *
emilmont 2:da51fb522205 7 * Project: CMSIS DSP Library
emilmont 2:da51fb522205 8 * Title: arm_sin_cos_q31.c
emilmont 1:fdd22bb7aa52 9 *
emilmont 2:da51fb522205 10 * Description: Cosine & Sine calculation for Q31 values.
emilmont 1:fdd22bb7aa52 11 *
emilmont 1:fdd22bb7aa52 12 * Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
emilmont 1:fdd22bb7aa52 13 *
mbed_official 3:7a284390b0ce 14 * Redistribution and use in source and binary forms, with or without
mbed_official 3:7a284390b0ce 15 * modification, are permitted provided that the following conditions
mbed_official 3:7a284390b0ce 16 * are met:
mbed_official 3:7a284390b0ce 17 * - Redistributions of source code must retain the above copyright
mbed_official 3:7a284390b0ce 18 * notice, this list of conditions and the following disclaimer.
mbed_official 3:7a284390b0ce 19 * - Redistributions in binary form must reproduce the above copyright
mbed_official 3:7a284390b0ce 20 * notice, this list of conditions and the following disclaimer in
mbed_official 3:7a284390b0ce 21 * the documentation and/or other materials provided with the
mbed_official 3:7a284390b0ce 22 * distribution.
mbed_official 3:7a284390b0ce 23 * - Neither the name of ARM LIMITED nor the names of its contributors
mbed_official 3:7a284390b0ce 24 * may be used to endorse or promote products derived from this
mbed_official 3:7a284390b0ce 25 * software without specific prior written permission.
mbed_official 3:7a284390b0ce 26 *
mbed_official 3:7a284390b0ce 27 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
mbed_official 3:7a284390b0ce 28 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
mbed_official 3:7a284390b0ce 29 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
mbed_official 3:7a284390b0ce 30 * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
mbed_official 3:7a284390b0ce 31 * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
mbed_official 3:7a284390b0ce 32 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
mbed_official 3:7a284390b0ce 33 * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
mbed_official 3:7a284390b0ce 34 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
mbed_official 3:7a284390b0ce 35 * CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
mbed_official 3:7a284390b0ce 36 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
mbed_official 3:7a284390b0ce 37 * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
mbed_official 3:7a284390b0ce 38 * POSSIBILITY OF SUCH DAMAGE.
emilmont 1:fdd22bb7aa52 39 * -------------------------------------------------------------------- */
emilmont 1:fdd22bb7aa52 40
emilmont 1:fdd22bb7aa52 41 #include "arm_math.h"
mbed_official 5:3762170b6d4d 42 #include "arm_common_tables.h"
emilmont 1:fdd22bb7aa52 43
emilmont 1:fdd22bb7aa52 44 /**
emilmont 1:fdd22bb7aa52 45 * @ingroup groupController
emilmont 1:fdd22bb7aa52 46 */
emilmont 1:fdd22bb7aa52 47
emilmont 1:fdd22bb7aa52 48 /**
emilmont 1:fdd22bb7aa52 49 * @addtogroup SinCos
emilmont 1:fdd22bb7aa52 50 * @{
emilmont 1:fdd22bb7aa52 51 */
emilmont 1:fdd22bb7aa52 52
emilmont 1:fdd22bb7aa52 53 /**
emilmont 1:fdd22bb7aa52 54 * @brief Q31 sin_cos function.
emilmont 1:fdd22bb7aa52 55 * @param[in] theta scaled input value in degrees
emilmont 1:fdd22bb7aa52 56 * @param[out] *pSinVal points to the processed sine output.
emilmont 1:fdd22bb7aa52 57 * @param[out] *pCosVal points to the processed cosine output.
emilmont 1:fdd22bb7aa52 58 * @return none.
emilmont 1:fdd22bb7aa52 59 *
emilmont 1:fdd22bb7aa52 60 * The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179].
emilmont 1:fdd22bb7aa52 61 *
emilmont 1:fdd22bb7aa52 62 */
emilmont 1:fdd22bb7aa52 63
emilmont 1:fdd22bb7aa52 64 void arm_sin_cos_q31(
emilmont 1:fdd22bb7aa52 65 q31_t theta,
emilmont 1:fdd22bb7aa52 66 q31_t * pSinVal,
emilmont 1:fdd22bb7aa52 67 q31_t * pCosVal)
emilmont 1:fdd22bb7aa52 68 {
mbed_official 5:3762170b6d4d 69 q31_t fract; /* Temporary variables for input, output */
mbed_official 5:3762170b6d4d 70 uint16_t indexS, indexC; /* Index variable */
mbed_official 5:3762170b6d4d 71 q31_t f1, f2, d1, d2; /* Two nearest output values */
mbed_official 5:3762170b6d4d 72 q31_t Dn, Df;
mbed_official 5:3762170b6d4d 73 q63_t temp;
mbed_official 5:3762170b6d4d 74
mbed_official 5:3762170b6d4d 75 /* Calculate the nearest index */
mbed_official 5:3762170b6d4d 76 indexS = (uint32_t)theta >> CONTROLLER_Q31_SHIFT;
mbed_official 5:3762170b6d4d 77 indexC = (indexS + 128) & 0x1ff;
emilmont 1:fdd22bb7aa52 78
mbed_official 5:3762170b6d4d 79 /* Calculation of fractional value */
mbed_official 5:3762170b6d4d 80 fract = (theta - (indexS << CONTROLLER_Q31_SHIFT)) << 8;
mbed_official 5:3762170b6d4d 81
mbed_official 5:3762170b6d4d 82 /* Read two nearest values of input value from the cos & sin tables */
mbed_official 5:3762170b6d4d 83 f1 = sinTable_q31[indexC+0];
mbed_official 5:3762170b6d4d 84 f2 = sinTable_q31[indexC+1];
mbed_official 5:3762170b6d4d 85 d1 = -sinTable_q31[indexS+0];
mbed_official 5:3762170b6d4d 86 d2 = -sinTable_q31[indexS+1];
emilmont 1:fdd22bb7aa52 87
mbed_official 5:3762170b6d4d 88 Dn = 0x1921FB5; // delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE
mbed_official 5:3762170b6d4d 89 Df = f2 - f1; // delta between the values of the functions
mbed_official 5:3762170b6d4d 90 temp = Dn*((q63_t)d1 + d2);
mbed_official 5:3762170b6d4d 91 temp = temp - ((q63_t)Df << 32);
mbed_official 5:3762170b6d4d 92 temp = (q63_t)fract*(temp >> 31);
mbed_official 5:3762170b6d4d 93 temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
mbed_official 5:3762170b6d4d 94 temp = (q63_t)fract*(temp >> 31);
mbed_official 5:3762170b6d4d 95 temp = temp + (q63_t)d1*Dn;
mbed_official 5:3762170b6d4d 96 temp = (q63_t)fract*(temp >> 31);
emilmont 1:fdd22bb7aa52 97
mbed_official 5:3762170b6d4d 98 /* Calculation of cosine value */
mbed_official 5:3762170b6d4d 99 *pCosVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
mbed_official 5:3762170b6d4d 100
mbed_official 5:3762170b6d4d 101 /* Read two nearest values of input value from the cos & sin tables */
mbed_official 5:3762170b6d4d 102 f1 = sinTable_q31[indexS+0];
mbed_official 5:3762170b6d4d 103 f2 = sinTable_q31[indexS+1];
mbed_official 5:3762170b6d4d 104 d1 = sinTable_q31[indexC+0];
mbed_official 5:3762170b6d4d 105 d2 = sinTable_q31[indexC+1];
emilmont 1:fdd22bb7aa52 106
mbed_official 5:3762170b6d4d 107 Df = f2 - f1; // delta between the values of the functions
mbed_official 5:3762170b6d4d 108 temp = Dn*((q63_t)d1 + d2);
mbed_official 5:3762170b6d4d 109 temp = temp - ((q63_t)Df << 32);
mbed_official 5:3762170b6d4d 110 temp = (q63_t)fract*(temp >> 31);
mbed_official 5:3762170b6d4d 111 temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
mbed_official 5:3762170b6d4d 112 temp = (q63_t)fract*(temp >> 31);
mbed_official 5:3762170b6d4d 113 temp = temp + (q63_t)d1*Dn;
mbed_official 5:3762170b6d4d 114 temp = (q63_t)fract*(temp >> 31);
mbed_official 5:3762170b6d4d 115
mbed_official 5:3762170b6d4d 116 /* Calculation of sine value */
mbed_official 5:3762170b6d4d 117 *pSinVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
emilmont 1:fdd22bb7aa52 118 }
emilmont 1:fdd22bb7aa52 119
emilmont 1:fdd22bb7aa52 120 /**
emilmont 1:fdd22bb7aa52 121 * @} end of SinCos group
emilmont 1:fdd22bb7aa52 122 */