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 mbed official

Committer:
mbed_official
Date:
Fri Nov 08 13:45:10 2013 +0000
Revision:
3:7a284390b0ce
Parent:
2:da51fb522205
Synchronized with git revision e69956aba2f68a2a26ac26b051f8d349deaa1ce8

Who changed what in which revision?

UserRevisionLine numberNew contents of line
emilmont 1:fdd22bb7aa52 1 /* ----------------------------------------------------------------------
mbed_official 3:7a284390b0ce 2 * Copyright (C) 2010-2013 ARM Limited. All rights reserved.
emilmont 1:fdd22bb7aa52 3 *
mbed_official 3:7a284390b0ce 4 * $Date: 17. January 2013
mbed_official 3:7a284390b0ce 5 * $Revision: V1.4.1
emilmont 1:fdd22bb7aa52 6 *
emilmont 2:da51fb522205 7 * Project: CMSIS DSP Library
emilmont 2:da51fb522205 8 * Title: arm_sin_cos_f32.c
emilmont 1:fdd22bb7aa52 9 *
emilmont 2:da51fb522205 10 * Description: Sine and Cosine calculation for floating-point 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"
emilmont 1:fdd22bb7aa52 42
emilmont 1:fdd22bb7aa52 43 /**
emilmont 1:fdd22bb7aa52 44 * @ingroup groupController
emilmont 1:fdd22bb7aa52 45 */
emilmont 1:fdd22bb7aa52 46
emilmont 1:fdd22bb7aa52 47 /**
emilmont 1:fdd22bb7aa52 48 * @defgroup SinCos Sine Cosine
emilmont 1:fdd22bb7aa52 49 *
emilmont 1:fdd22bb7aa52 50 * Computes the trigonometric sine and cosine values using a combination of table lookup
emilmont 1:fdd22bb7aa52 51 * and linear interpolation.
emilmont 1:fdd22bb7aa52 52 * There are separate functions for Q31 and floating-point data types.
emilmont 1:fdd22bb7aa52 53 * The input to the floating-point version is in degrees while the
emilmont 1:fdd22bb7aa52 54 * fixed-point Q31 have a scaled input with the range
emilmont 1:fdd22bb7aa52 55 * [-1 0.9999] mapping to [-180 179] degrees.
emilmont 1:fdd22bb7aa52 56 *
emilmont 1:fdd22bb7aa52 57 * The implementation is based on table lookup using 360 values together with linear interpolation.
emilmont 1:fdd22bb7aa52 58 * The steps used are:
emilmont 1:fdd22bb7aa52 59 * -# Calculation of the nearest integer table index.
emilmont 1:fdd22bb7aa52 60 * -# Compute the fractional portion (fract) of the input.
emilmont 1:fdd22bb7aa52 61 * -# Fetch the value corresponding to \c index from sine table to \c y0 and also value from \c index+1 to \c y1.
emilmont 1:fdd22bb7aa52 62 * -# Sine value is computed as <code> *psinVal = y0 + (fract * (y1 - y0))</code>.
emilmont 1:fdd22bb7aa52 63 * -# Fetch the value corresponding to \c index from cosine table to \c y0 and also value from \c index+1 to \c y1.
emilmont 1:fdd22bb7aa52 64 * -# Cosine value is computed as <code> *pcosVal = y0 + (fract * (y1 - y0))</code>.
emilmont 1:fdd22bb7aa52 65 */
emilmont 1:fdd22bb7aa52 66
emilmont 1:fdd22bb7aa52 67 /**
emilmont 1:fdd22bb7aa52 68 * @addtogroup SinCos
emilmont 1:fdd22bb7aa52 69 * @{
emilmont 1:fdd22bb7aa52 70 */
emilmont 1:fdd22bb7aa52 71
emilmont 1:fdd22bb7aa52 72
emilmont 1:fdd22bb7aa52 73 /**
emilmont 1:fdd22bb7aa52 74 * \par
emilmont 1:fdd22bb7aa52 75 * Cosine Table is generated from following loop
emilmont 1:fdd22bb7aa52 76 * <pre>for(i = 0; i < 360; i++)
emilmont 1:fdd22bb7aa52 77 * {
emilmont 1:fdd22bb7aa52 78 * cosTable[i]= cos((i-180) * PI/180.0);
emilmont 1:fdd22bb7aa52 79 * } </pre>
emilmont 1:fdd22bb7aa52 80 */
emilmont 1:fdd22bb7aa52 81
emilmont 1:fdd22bb7aa52 82 static const float32_t cosTable[360] = {
emilmont 1:fdd22bb7aa52 83 -0.999847695156391270f, -0.999390827019095760f, -0.998629534754573830f,
emilmont 1:fdd22bb7aa52 84 -0.997564050259824200f, -0.996194698091745550f, -0.994521895368273290f,
emilmont 1:fdd22bb7aa52 85 -0.992546151641321980f, -0.990268068741570250f,
emilmont 1:fdd22bb7aa52 86 -0.987688340595137660f, -0.984807753012208020f, -0.981627183447663980f,
emilmont 1:fdd22bb7aa52 87 -0.978147600733805690f, -0.974370064785235250f, -0.970295726275996470f,
emilmont 1:fdd22bb7aa52 88 -0.965925826289068200f, -0.961261695938318670f,
emilmont 1:fdd22bb7aa52 89 -0.956304755963035440f, -0.951056516295153530f, -0.945518575599316740f,
emilmont 1:fdd22bb7aa52 90 -0.939692620785908320f, -0.933580426497201740f, -0.927183854566787310f,
emilmont 1:fdd22bb7aa52 91 -0.920504853452440150f, -0.913545457642600760f,
emilmont 1:fdd22bb7aa52 92 -0.906307787036649940f, -0.898794046299167040f, -0.891006524188367790f,
emilmont 1:fdd22bb7aa52 93 -0.882947592858926770f, -0.874619707139395740f, -0.866025403784438710f,
emilmont 1:fdd22bb7aa52 94 -0.857167300702112220f, -0.848048096156425960f,
emilmont 1:fdd22bb7aa52 95 -0.838670567945424160f, -0.829037572555041620f, -0.819152044288991580f,
emilmont 1:fdd22bb7aa52 96 -0.809016994374947340f, -0.798635510047292940f, -0.788010753606721900f,
emilmont 1:fdd22bb7aa52 97 -0.777145961456970680f, -0.766044443118977900f,
emilmont 1:fdd22bb7aa52 98 -0.754709580222772010f, -0.743144825477394130f, -0.731353701619170460f,
emilmont 1:fdd22bb7aa52 99 -0.719339800338651300f, -0.707106781186547460f, -0.694658370458997030f,
emilmont 1:fdd22bb7aa52 100 -0.681998360062498370f, -0.669130606358858240f,
emilmont 1:fdd22bb7aa52 101 -0.656059028990507500f, -0.642787609686539360f, -0.629320391049837280f,
emilmont 1:fdd22bb7aa52 102 -0.615661475325658290f, -0.601815023152048380f, -0.587785252292473030f,
emilmont 1:fdd22bb7aa52 103 -0.573576436351045830f, -0.559192903470746680f,
emilmont 1:fdd22bb7aa52 104 -0.544639035015027080f, -0.529919264233204790f, -0.515038074910054270f,
emilmont 1:fdd22bb7aa52 105 -0.499999999999999780f, -0.484809620246337000f, -0.469471562785890530f,
emilmont 1:fdd22bb7aa52 106 -0.453990499739546750f, -0.438371146789077510f,
emilmont 1:fdd22bb7aa52 107 -0.422618261740699330f, -0.406736643075800100f, -0.390731128489273600f,
emilmont 1:fdd22bb7aa52 108 -0.374606593415912070f, -0.358367949545300270f, -0.342020143325668710f,
emilmont 1:fdd22bb7aa52 109 -0.325568154457156420f, -0.309016994374947340f,
emilmont 1:fdd22bb7aa52 110 -0.292371704722736660f, -0.275637355816999050f, -0.258819045102520850f,
emilmont 1:fdd22bb7aa52 111 -0.241921895599667790f, -0.224951054343864810f, -0.207911690817759120f,
emilmont 1:fdd22bb7aa52 112 -0.190808995376544800f, -0.173648177666930300f,
emilmont 1:fdd22bb7aa52 113 -0.156434465040231040f, -0.139173100960065350f, -0.121869343405147370f,
emilmont 1:fdd22bb7aa52 114 -0.104528463267653330f, -0.087155742747658235f, -0.069756473744125330f,
emilmont 1:fdd22bb7aa52 115 -0.052335956242943620f, -0.034899496702500733f,
emilmont 1:fdd22bb7aa52 116 -0.017452406437283477f, 0.000000000000000061f, 0.017452406437283376f,
emilmont 1:fdd22bb7aa52 117 0.034899496702501080f, 0.052335956242943966f, 0.069756473744125455f,
emilmont 1:fdd22bb7aa52 118 0.087155742747658138f, 0.104528463267653460f,
emilmont 1:fdd22bb7aa52 119 0.121869343405147490f, 0.139173100960065690f, 0.156434465040230920f,
emilmont 1:fdd22bb7aa52 120 0.173648177666930410f, 0.190808995376544920f, 0.207911690817759450f,
emilmont 1:fdd22bb7aa52 121 0.224951054343864920f, 0.241921895599667900f,
emilmont 1:fdd22bb7aa52 122 0.258819045102520740f, 0.275637355816999160f, 0.292371704722736770f,
emilmont 1:fdd22bb7aa52 123 0.309016994374947450f, 0.325568154457156760f, 0.342020143325668820f,
emilmont 1:fdd22bb7aa52 124 0.358367949545300380f, 0.374606593415911960f,
emilmont 1:fdd22bb7aa52 125 0.390731128489273940f, 0.406736643075800210f, 0.422618261740699440f,
emilmont 1:fdd22bb7aa52 126 0.438371146789077460f, 0.453990499739546860f, 0.469471562785890860f,
emilmont 1:fdd22bb7aa52 127 0.484809620246337110f, 0.500000000000000110f,
emilmont 1:fdd22bb7aa52 128 0.515038074910054380f, 0.529919264233204900f, 0.544639035015027200f,
emilmont 1:fdd22bb7aa52 129 0.559192903470746790f, 0.573576436351046050f, 0.587785252292473140f,
emilmont 1:fdd22bb7aa52 130 0.601815023152048270f, 0.615661475325658290f,
emilmont 1:fdd22bb7aa52 131 0.629320391049837500f, 0.642787609686539360f, 0.656059028990507280f,
emilmont 1:fdd22bb7aa52 132 0.669130606358858240f, 0.681998360062498480f, 0.694658370458997370f,
emilmont 1:fdd22bb7aa52 133 0.707106781186547570f, 0.719339800338651190f,
emilmont 1:fdd22bb7aa52 134 0.731353701619170570f, 0.743144825477394240f, 0.754709580222772010f,
emilmont 1:fdd22bb7aa52 135 0.766044443118978010f, 0.777145961456970900f, 0.788010753606722010f,
emilmont 1:fdd22bb7aa52 136 0.798635510047292830f, 0.809016994374947450f,
emilmont 1:fdd22bb7aa52 137 0.819152044288991800f, 0.829037572555041620f, 0.838670567945424050f,
emilmont 1:fdd22bb7aa52 138 0.848048096156425960f, 0.857167300702112330f, 0.866025403784438710f,
emilmont 1:fdd22bb7aa52 139 0.874619707139395740f, 0.882947592858926990f,
emilmont 1:fdd22bb7aa52 140 0.891006524188367900f, 0.898794046299167040f, 0.906307787036649940f,
emilmont 1:fdd22bb7aa52 141 0.913545457642600870f, 0.920504853452440370f, 0.927183854566787420f,
emilmont 1:fdd22bb7aa52 142 0.933580426497201740f, 0.939692620785908430f,
emilmont 1:fdd22bb7aa52 143 0.945518575599316850f, 0.951056516295153530f, 0.956304755963035440f,
emilmont 1:fdd22bb7aa52 144 0.961261695938318890f, 0.965925826289068310f, 0.970295726275996470f,
emilmont 1:fdd22bb7aa52 145 0.974370064785235250f, 0.978147600733805690f,
emilmont 1:fdd22bb7aa52 146 0.981627183447663980f, 0.984807753012208020f, 0.987688340595137770f,
emilmont 1:fdd22bb7aa52 147 0.990268068741570360f, 0.992546151641321980f, 0.994521895368273290f,
emilmont 1:fdd22bb7aa52 148 0.996194698091745550f, 0.997564050259824200f,
emilmont 1:fdd22bb7aa52 149 0.998629534754573830f, 0.999390827019095760f, 0.999847695156391270f,
emilmont 1:fdd22bb7aa52 150 1.000000000000000000f, 0.999847695156391270f, 0.999390827019095760f,
emilmont 1:fdd22bb7aa52 151 0.998629534754573830f, 0.997564050259824200f,
emilmont 1:fdd22bb7aa52 152 0.996194698091745550f, 0.994521895368273290f, 0.992546151641321980f,
emilmont 1:fdd22bb7aa52 153 0.990268068741570360f, 0.987688340595137770f, 0.984807753012208020f,
emilmont 1:fdd22bb7aa52 154 0.981627183447663980f, 0.978147600733805690f,
emilmont 1:fdd22bb7aa52 155 0.974370064785235250f, 0.970295726275996470f, 0.965925826289068310f,
emilmont 1:fdd22bb7aa52 156 0.961261695938318890f, 0.956304755963035440f, 0.951056516295153530f,
emilmont 1:fdd22bb7aa52 157 0.945518575599316850f, 0.939692620785908430f,
emilmont 1:fdd22bb7aa52 158 0.933580426497201740f, 0.927183854566787420f, 0.920504853452440370f,
emilmont 1:fdd22bb7aa52 159 0.913545457642600870f, 0.906307787036649940f, 0.898794046299167040f,
emilmont 1:fdd22bb7aa52 160 0.891006524188367900f, 0.882947592858926990f,
emilmont 1:fdd22bb7aa52 161 0.874619707139395740f, 0.866025403784438710f, 0.857167300702112330f,
emilmont 1:fdd22bb7aa52 162 0.848048096156425960f, 0.838670567945424050f, 0.829037572555041620f,
emilmont 1:fdd22bb7aa52 163 0.819152044288991800f, 0.809016994374947450f,
emilmont 1:fdd22bb7aa52 164 0.798635510047292830f, 0.788010753606722010f, 0.777145961456970900f,
emilmont 1:fdd22bb7aa52 165 0.766044443118978010f, 0.754709580222772010f, 0.743144825477394240f,
emilmont 1:fdd22bb7aa52 166 0.731353701619170570f, 0.719339800338651190f,
emilmont 1:fdd22bb7aa52 167 0.707106781186547570f, 0.694658370458997370f, 0.681998360062498480f,
emilmont 1:fdd22bb7aa52 168 0.669130606358858240f, 0.656059028990507280f, 0.642787609686539360f,
emilmont 1:fdd22bb7aa52 169 0.629320391049837500f, 0.615661475325658290f,
emilmont 1:fdd22bb7aa52 170 0.601815023152048270f, 0.587785252292473140f, 0.573576436351046050f,
emilmont 1:fdd22bb7aa52 171 0.559192903470746790f, 0.544639035015027200f, 0.529919264233204900f,
emilmont 1:fdd22bb7aa52 172 0.515038074910054380f, 0.500000000000000110f,
emilmont 1:fdd22bb7aa52 173 0.484809620246337110f, 0.469471562785890860f, 0.453990499739546860f,
emilmont 1:fdd22bb7aa52 174 0.438371146789077460f, 0.422618261740699440f, 0.406736643075800210f,
emilmont 1:fdd22bb7aa52 175 0.390731128489273940f, 0.374606593415911960f,
emilmont 1:fdd22bb7aa52 176 0.358367949545300380f, 0.342020143325668820f, 0.325568154457156760f,
emilmont 1:fdd22bb7aa52 177 0.309016994374947450f, 0.292371704722736770f, 0.275637355816999160f,
emilmont 1:fdd22bb7aa52 178 0.258819045102520740f, 0.241921895599667900f,
emilmont 1:fdd22bb7aa52 179 0.224951054343864920f, 0.207911690817759450f, 0.190808995376544920f,
emilmont 1:fdd22bb7aa52 180 0.173648177666930410f, 0.156434465040230920f, 0.139173100960065690f,
emilmont 1:fdd22bb7aa52 181 0.121869343405147490f, 0.104528463267653460f,
emilmont 1:fdd22bb7aa52 182 0.087155742747658138f, 0.069756473744125455f, 0.052335956242943966f,
emilmont 1:fdd22bb7aa52 183 0.034899496702501080f, 0.017452406437283376f, 0.000000000000000061f,
emilmont 1:fdd22bb7aa52 184 -0.017452406437283477f, -0.034899496702500733f,
emilmont 1:fdd22bb7aa52 185 -0.052335956242943620f, -0.069756473744125330f, -0.087155742747658235f,
emilmont 1:fdd22bb7aa52 186 -0.104528463267653330f, -0.121869343405147370f, -0.139173100960065350f,
emilmont 1:fdd22bb7aa52 187 -0.156434465040231040f, -0.173648177666930300f,
emilmont 1:fdd22bb7aa52 188 -0.190808995376544800f, -0.207911690817759120f, -0.224951054343864810f,
emilmont 1:fdd22bb7aa52 189 -0.241921895599667790f, -0.258819045102520850f, -0.275637355816999050f,
emilmont 1:fdd22bb7aa52 190 -0.292371704722736660f, -0.309016994374947340f,
emilmont 1:fdd22bb7aa52 191 -0.325568154457156420f, -0.342020143325668710f, -0.358367949545300270f,
emilmont 1:fdd22bb7aa52 192 -0.374606593415912070f, -0.390731128489273600f, -0.406736643075800100f,
emilmont 1:fdd22bb7aa52 193 -0.422618261740699330f, -0.438371146789077510f,
emilmont 1:fdd22bb7aa52 194 -0.453990499739546750f, -0.469471562785890530f, -0.484809620246337000f,
emilmont 1:fdd22bb7aa52 195 -0.499999999999999780f, -0.515038074910054270f, -0.529919264233204790f,
emilmont 1:fdd22bb7aa52 196 -0.544639035015027080f, -0.559192903470746680f,
emilmont 1:fdd22bb7aa52 197 -0.573576436351045830f, -0.587785252292473030f, -0.601815023152048380f,
emilmont 1:fdd22bb7aa52 198 -0.615661475325658290f, -0.629320391049837280f, -0.642787609686539360f,
emilmont 1:fdd22bb7aa52 199 -0.656059028990507500f, -0.669130606358858240f,
emilmont 1:fdd22bb7aa52 200 -0.681998360062498370f, -0.694658370458997030f, -0.707106781186547460f,
emilmont 1:fdd22bb7aa52 201 -0.719339800338651300f, -0.731353701619170460f, -0.743144825477394130f,
emilmont 1:fdd22bb7aa52 202 -0.754709580222772010f, -0.766044443118977900f,
emilmont 1:fdd22bb7aa52 203 -0.777145961456970680f, -0.788010753606721900f, -0.798635510047292940f,
emilmont 1:fdd22bb7aa52 204 -0.809016994374947340f, -0.819152044288991580f, -0.829037572555041620f,
emilmont 1:fdd22bb7aa52 205 -0.838670567945424160f, -0.848048096156425960f,
emilmont 1:fdd22bb7aa52 206 -0.857167300702112220f, -0.866025403784438710f, -0.874619707139395740f,
emilmont 1:fdd22bb7aa52 207 -0.882947592858926770f, -0.891006524188367790f, -0.898794046299167040f,
emilmont 1:fdd22bb7aa52 208 -0.906307787036649940f, -0.913545457642600760f,
emilmont 1:fdd22bb7aa52 209 -0.920504853452440150f, -0.927183854566787310f, -0.933580426497201740f,
emilmont 1:fdd22bb7aa52 210 -0.939692620785908320f, -0.945518575599316740f, -0.951056516295153530f,
emilmont 1:fdd22bb7aa52 211 -0.956304755963035440f, -0.961261695938318670f,
emilmont 1:fdd22bb7aa52 212 -0.965925826289068200f, -0.970295726275996470f, -0.974370064785235250f,
emilmont 1:fdd22bb7aa52 213 -0.978147600733805690f, -0.981627183447663980f, -0.984807753012208020f,
emilmont 1:fdd22bb7aa52 214 -0.987688340595137660f, -0.990268068741570250f,
emilmont 1:fdd22bb7aa52 215 -0.992546151641321980f, -0.994521895368273290f, -0.996194698091745550f,
emilmont 1:fdd22bb7aa52 216 -0.997564050259824200f, -0.998629534754573830f, -0.999390827019095760f,
emilmont 1:fdd22bb7aa52 217 -0.999847695156391270f, -1.000000000000000000f
emilmont 1:fdd22bb7aa52 218 };
emilmont 1:fdd22bb7aa52 219
emilmont 1:fdd22bb7aa52 220 /**
emilmont 1:fdd22bb7aa52 221 * \par
emilmont 1:fdd22bb7aa52 222 * Sine Table is generated from following loop
emilmont 1:fdd22bb7aa52 223 * <pre>for(i = 0; i < 360; i++)
emilmont 1:fdd22bb7aa52 224 * {
emilmont 1:fdd22bb7aa52 225 * sinTable[i]= sin((i-180) * PI/180.0);
emilmont 1:fdd22bb7aa52 226 * } </pre>
emilmont 1:fdd22bb7aa52 227 */
emilmont 1:fdd22bb7aa52 228
emilmont 1:fdd22bb7aa52 229
emilmont 1:fdd22bb7aa52 230 static const float32_t sinTable[360] = {
emilmont 1:fdd22bb7aa52 231 -0.017452406437283439f, -0.034899496702500699f, -0.052335956242943807f,
emilmont 1:fdd22bb7aa52 232 -0.069756473744125524f, -0.087155742747658638f, -0.104528463267653730f,
emilmont 1:fdd22bb7aa52 233 -0.121869343405147550f, -0.139173100960065740f,
emilmont 1:fdd22bb7aa52 234 -0.156434465040230980f, -0.173648177666930280f, -0.190808995376544970f,
emilmont 1:fdd22bb7aa52 235 -0.207911690817759310f, -0.224951054343864780f, -0.241921895599667730f,
emilmont 1:fdd22bb7aa52 236 -0.258819045102521020f, -0.275637355816999660f,
emilmont 1:fdd22bb7aa52 237 -0.292371704722737050f, -0.309016994374947510f, -0.325568154457156980f,
emilmont 1:fdd22bb7aa52 238 -0.342020143325668880f, -0.358367949545300210f, -0.374606593415912240f,
emilmont 1:fdd22bb7aa52 239 -0.390731128489274160f, -0.406736643075800430f,
emilmont 1:fdd22bb7aa52 240 -0.422618261740699500f, -0.438371146789077290f, -0.453990499739546860f,
emilmont 1:fdd22bb7aa52 241 -0.469471562785891080f, -0.484809620246337170f, -0.499999999999999940f,
emilmont 1:fdd22bb7aa52 242 -0.515038074910054380f, -0.529919264233204900f,
emilmont 1:fdd22bb7aa52 243 -0.544639035015026860f, -0.559192903470746900f, -0.573576436351046380f,
emilmont 1:fdd22bb7aa52 244 -0.587785252292473250f, -0.601815023152048160f, -0.615661475325658400f,
emilmont 1:fdd22bb7aa52 245 -0.629320391049837720f, -0.642787609686539470f,
emilmont 1:fdd22bb7aa52 246 -0.656059028990507280f, -0.669130606358858350f, -0.681998360062498590f,
emilmont 1:fdd22bb7aa52 247 -0.694658370458997140f, -0.707106781186547570f, -0.719339800338651410f,
emilmont 1:fdd22bb7aa52 248 -0.731353701619170570f, -0.743144825477394240f,
emilmont 1:fdd22bb7aa52 249 -0.754709580222771790f, -0.766044443118978010f, -0.777145961456971010f,
emilmont 1:fdd22bb7aa52 250 -0.788010753606722010f, -0.798635510047292720f, -0.809016994374947450f,
emilmont 1:fdd22bb7aa52 251 -0.819152044288992020f, -0.829037572555041740f,
emilmont 1:fdd22bb7aa52 252 -0.838670567945424050f, -0.848048096156426070f, -0.857167300702112330f,
emilmont 1:fdd22bb7aa52 253 -0.866025403784438710f, -0.874619707139395850f, -0.882947592858927100f,
emilmont 1:fdd22bb7aa52 254 -0.891006524188367900f, -0.898794046299166930f,
emilmont 1:fdd22bb7aa52 255 -0.906307787036650050f, -0.913545457642600980f, -0.920504853452440370f,
emilmont 1:fdd22bb7aa52 256 -0.927183854566787420f, -0.933580426497201740f, -0.939692620785908430f,
emilmont 1:fdd22bb7aa52 257 -0.945518575599316850f, -0.951056516295153640f,
emilmont 1:fdd22bb7aa52 258 -0.956304755963035550f, -0.961261695938318890f, -0.965925826289068310f,
emilmont 1:fdd22bb7aa52 259 -0.970295726275996470f, -0.974370064785235250f, -0.978147600733805690f,
emilmont 1:fdd22bb7aa52 260 -0.981627183447663980f, -0.984807753012208020f,
emilmont 1:fdd22bb7aa52 261 -0.987688340595137660f, -0.990268068741570360f, -0.992546151641322090f,
emilmont 1:fdd22bb7aa52 262 -0.994521895368273400f, -0.996194698091745550f, -0.997564050259824200f,
emilmont 1:fdd22bb7aa52 263 -0.998629534754573830f, -0.999390827019095760f,
emilmont 1:fdd22bb7aa52 264 -0.999847695156391270f, -1.000000000000000000f, -0.999847695156391270f,
emilmont 1:fdd22bb7aa52 265 -0.999390827019095760f, -0.998629534754573830f, -0.997564050259824200f,
emilmont 1:fdd22bb7aa52 266 -0.996194698091745550f, -0.994521895368273290f,
emilmont 1:fdd22bb7aa52 267 -0.992546151641321980f, -0.990268068741570250f, -0.987688340595137770f,
emilmont 1:fdd22bb7aa52 268 -0.984807753012208020f, -0.981627183447663980f, -0.978147600733805580f,
emilmont 1:fdd22bb7aa52 269 -0.974370064785235250f, -0.970295726275996470f,
emilmont 1:fdd22bb7aa52 270 -0.965925826289068310f, -0.961261695938318890f, -0.956304755963035440f,
emilmont 1:fdd22bb7aa52 271 -0.951056516295153530f, -0.945518575599316740f, -0.939692620785908320f,
emilmont 1:fdd22bb7aa52 272 -0.933580426497201740f, -0.927183854566787420f,
emilmont 1:fdd22bb7aa52 273 -0.920504853452440260f, -0.913545457642600870f, -0.906307787036649940f,
emilmont 1:fdd22bb7aa52 274 -0.898794046299167040f, -0.891006524188367790f, -0.882947592858926880f,
emilmont 1:fdd22bb7aa52 275 -0.874619707139395740f, -0.866025403784438600f,
emilmont 1:fdd22bb7aa52 276 -0.857167300702112220f, -0.848048096156426070f, -0.838670567945423940f,
emilmont 1:fdd22bb7aa52 277 -0.829037572555041740f, -0.819152044288991800f, -0.809016994374947450f,
emilmont 1:fdd22bb7aa52 278 -0.798635510047292830f, -0.788010753606722010f,
emilmont 1:fdd22bb7aa52 279 -0.777145961456970790f, -0.766044443118978010f, -0.754709580222772010f,
emilmont 1:fdd22bb7aa52 280 -0.743144825477394240f, -0.731353701619170460f, -0.719339800338651080f,
emilmont 1:fdd22bb7aa52 281 -0.707106781186547460f, -0.694658370458997250f,
emilmont 1:fdd22bb7aa52 282 -0.681998360062498480f, -0.669130606358858240f, -0.656059028990507160f,
emilmont 1:fdd22bb7aa52 283 -0.642787609686539250f, -0.629320391049837390f, -0.615661475325658180f,
emilmont 1:fdd22bb7aa52 284 -0.601815023152048270f, -0.587785252292473140f,
emilmont 1:fdd22bb7aa52 285 -0.573576436351046050f, -0.559192903470746900f, -0.544639035015027080f,
emilmont 1:fdd22bb7aa52 286 -0.529919264233204900f, -0.515038074910054160f, -0.499999999999999940f,
emilmont 1:fdd22bb7aa52 287 -0.484809620246337060f, -0.469471562785890810f,
emilmont 1:fdd22bb7aa52 288 -0.453990499739546750f, -0.438371146789077400f, -0.422618261740699440f,
emilmont 1:fdd22bb7aa52 289 -0.406736643075800150f, -0.390731128489273720f, -0.374606593415912010f,
emilmont 1:fdd22bb7aa52 290 -0.358367949545300270f, -0.342020143325668710f,
emilmont 1:fdd22bb7aa52 291 -0.325568154457156640f, -0.309016994374947400f, -0.292371704722736770f,
emilmont 1:fdd22bb7aa52 292 -0.275637355816999160f, -0.258819045102520740f, -0.241921895599667730f,
emilmont 1:fdd22bb7aa52 293 -0.224951054343865000f, -0.207911690817759310f,
emilmont 1:fdd22bb7aa52 294 -0.190808995376544800f, -0.173648177666930330f, -0.156434465040230870f,
emilmont 1:fdd22bb7aa52 295 -0.139173100960065440f, -0.121869343405147480f, -0.104528463267653460f,
emilmont 1:fdd22bb7aa52 296 -0.087155742747658166f, -0.069756473744125302f,
emilmont 1:fdd22bb7aa52 297 -0.052335956242943828f, -0.034899496702500969f, -0.017452406437283512f,
emilmont 1:fdd22bb7aa52 298 0.000000000000000000f, 0.017452406437283512f, 0.034899496702500969f,
emilmont 1:fdd22bb7aa52 299 0.052335956242943828f, 0.069756473744125302f,
emilmont 1:fdd22bb7aa52 300 0.087155742747658166f, 0.104528463267653460f, 0.121869343405147480f,
emilmont 1:fdd22bb7aa52 301 0.139173100960065440f, 0.156434465040230870f, 0.173648177666930330f,
emilmont 1:fdd22bb7aa52 302 0.190808995376544800f, 0.207911690817759310f,
emilmont 1:fdd22bb7aa52 303 0.224951054343865000f, 0.241921895599667730f, 0.258819045102520740f,
emilmont 1:fdd22bb7aa52 304 0.275637355816999160f, 0.292371704722736770f, 0.309016994374947400f,
emilmont 1:fdd22bb7aa52 305 0.325568154457156640f, 0.342020143325668710f,
emilmont 1:fdd22bb7aa52 306 0.358367949545300270f, 0.374606593415912010f, 0.390731128489273720f,
emilmont 1:fdd22bb7aa52 307 0.406736643075800150f, 0.422618261740699440f, 0.438371146789077400f,
emilmont 1:fdd22bb7aa52 308 0.453990499739546750f, 0.469471562785890810f,
emilmont 1:fdd22bb7aa52 309 0.484809620246337060f, 0.499999999999999940f, 0.515038074910054160f,
emilmont 1:fdd22bb7aa52 310 0.529919264233204900f, 0.544639035015027080f, 0.559192903470746900f,
emilmont 1:fdd22bb7aa52 311 0.573576436351046050f, 0.587785252292473140f,
emilmont 1:fdd22bb7aa52 312 0.601815023152048270f, 0.615661475325658180f, 0.629320391049837390f,
emilmont 1:fdd22bb7aa52 313 0.642787609686539250f, 0.656059028990507160f, 0.669130606358858240f,
emilmont 1:fdd22bb7aa52 314 0.681998360062498480f, 0.694658370458997250f,
emilmont 1:fdd22bb7aa52 315 0.707106781186547460f, 0.719339800338651080f, 0.731353701619170460f,
emilmont 1:fdd22bb7aa52 316 0.743144825477394240f, 0.754709580222772010f, 0.766044443118978010f,
emilmont 1:fdd22bb7aa52 317 0.777145961456970790f, 0.788010753606722010f,
emilmont 1:fdd22bb7aa52 318 0.798635510047292830f, 0.809016994374947450f, 0.819152044288991800f,
emilmont 1:fdd22bb7aa52 319 0.829037572555041740f, 0.838670567945423940f, 0.848048096156426070f,
emilmont 1:fdd22bb7aa52 320 0.857167300702112220f, 0.866025403784438600f,
emilmont 1:fdd22bb7aa52 321 0.874619707139395740f, 0.882947592858926880f, 0.891006524188367790f,
emilmont 1:fdd22bb7aa52 322 0.898794046299167040f, 0.906307787036649940f, 0.913545457642600870f,
emilmont 1:fdd22bb7aa52 323 0.920504853452440260f, 0.927183854566787420f,
emilmont 1:fdd22bb7aa52 324 0.933580426497201740f, 0.939692620785908320f, 0.945518575599316740f,
emilmont 1:fdd22bb7aa52 325 0.951056516295153530f, 0.956304755963035440f, 0.961261695938318890f,
emilmont 1:fdd22bb7aa52 326 0.965925826289068310f, 0.970295726275996470f,
emilmont 1:fdd22bb7aa52 327 0.974370064785235250f, 0.978147600733805580f, 0.981627183447663980f,
emilmont 1:fdd22bb7aa52 328 0.984807753012208020f, 0.987688340595137770f, 0.990268068741570250f,
emilmont 1:fdd22bb7aa52 329 0.992546151641321980f, 0.994521895368273290f,
emilmont 1:fdd22bb7aa52 330 0.996194698091745550f, 0.997564050259824200f, 0.998629534754573830f,
emilmont 1:fdd22bb7aa52 331 0.999390827019095760f, 0.999847695156391270f, 1.000000000000000000f,
emilmont 1:fdd22bb7aa52 332 0.999847695156391270f, 0.999390827019095760f,
emilmont 1:fdd22bb7aa52 333 0.998629534754573830f, 0.997564050259824200f, 0.996194698091745550f,
emilmont 1:fdd22bb7aa52 334 0.994521895368273400f, 0.992546151641322090f, 0.990268068741570360f,
emilmont 1:fdd22bb7aa52 335 0.987688340595137660f, 0.984807753012208020f,
emilmont 1:fdd22bb7aa52 336 0.981627183447663980f, 0.978147600733805690f, 0.974370064785235250f,
emilmont 1:fdd22bb7aa52 337 0.970295726275996470f, 0.965925826289068310f, 0.961261695938318890f,
emilmont 1:fdd22bb7aa52 338 0.956304755963035550f, 0.951056516295153640f,
emilmont 1:fdd22bb7aa52 339 0.945518575599316850f, 0.939692620785908430f, 0.933580426497201740f,
emilmont 1:fdd22bb7aa52 340 0.927183854566787420f, 0.920504853452440370f, 0.913545457642600980f,
emilmont 1:fdd22bb7aa52 341 0.906307787036650050f, 0.898794046299166930f,
emilmont 1:fdd22bb7aa52 342 0.891006524188367900f, 0.882947592858927100f, 0.874619707139395850f,
emilmont 1:fdd22bb7aa52 343 0.866025403784438710f, 0.857167300702112330f, 0.848048096156426070f,
emilmont 1:fdd22bb7aa52 344 0.838670567945424050f, 0.829037572555041740f,
emilmont 1:fdd22bb7aa52 345 0.819152044288992020f, 0.809016994374947450f, 0.798635510047292720f,
emilmont 1:fdd22bb7aa52 346 0.788010753606722010f, 0.777145961456971010f, 0.766044443118978010f,
emilmont 1:fdd22bb7aa52 347 0.754709580222771790f, 0.743144825477394240f,
emilmont 1:fdd22bb7aa52 348 0.731353701619170570f, 0.719339800338651410f, 0.707106781186547570f,
emilmont 1:fdd22bb7aa52 349 0.694658370458997140f, 0.681998360062498590f, 0.669130606358858350f,
emilmont 1:fdd22bb7aa52 350 0.656059028990507280f, 0.642787609686539470f,
emilmont 1:fdd22bb7aa52 351 0.629320391049837720f, 0.615661475325658400f, 0.601815023152048160f,
emilmont 1:fdd22bb7aa52 352 0.587785252292473250f, 0.573576436351046380f, 0.559192903470746900f,
emilmont 1:fdd22bb7aa52 353 0.544639035015026860f, 0.529919264233204900f,
emilmont 1:fdd22bb7aa52 354 0.515038074910054380f, 0.499999999999999940f, 0.484809620246337170f,
emilmont 1:fdd22bb7aa52 355 0.469471562785891080f, 0.453990499739546860f, 0.438371146789077290f,
emilmont 1:fdd22bb7aa52 356 0.422618261740699500f, 0.406736643075800430f,
emilmont 1:fdd22bb7aa52 357 0.390731128489274160f, 0.374606593415912240f, 0.358367949545300210f,
emilmont 1:fdd22bb7aa52 358 0.342020143325668880f, 0.325568154457156980f, 0.309016994374947510f,
emilmont 1:fdd22bb7aa52 359 0.292371704722737050f, 0.275637355816999660f,
emilmont 1:fdd22bb7aa52 360 0.258819045102521020f, 0.241921895599667730f, 0.224951054343864780f,
emilmont 1:fdd22bb7aa52 361 0.207911690817759310f, 0.190808995376544970f, 0.173648177666930280f,
emilmont 1:fdd22bb7aa52 362 0.156434465040230980f, 0.139173100960065740f,
emilmont 1:fdd22bb7aa52 363 0.121869343405147550f, 0.104528463267653730f, 0.087155742747658638f,
emilmont 1:fdd22bb7aa52 364 0.069756473744125524f, 0.052335956242943807f, 0.034899496702500699f,
emilmont 1:fdd22bb7aa52 365 0.017452406437283439f, 0.000000000000000122f
emilmont 1:fdd22bb7aa52 366 };
emilmont 1:fdd22bb7aa52 367
emilmont 1:fdd22bb7aa52 368
emilmont 1:fdd22bb7aa52 369 /**
emilmont 1:fdd22bb7aa52 370 * @brief Floating-point sin_cos function.
emilmont 1:fdd22bb7aa52 371 * @param[in] theta input value in degrees
emilmont 1:fdd22bb7aa52 372 * @param[out] *pSinVal points to the processed sine output.
emilmont 1:fdd22bb7aa52 373 * @param[out] *pCosVal points to the processed cos output.
emilmont 1:fdd22bb7aa52 374 * @return none.
emilmont 1:fdd22bb7aa52 375 */
emilmont 1:fdd22bb7aa52 376
emilmont 1:fdd22bb7aa52 377
emilmont 1:fdd22bb7aa52 378 void arm_sin_cos_f32(
emilmont 1:fdd22bb7aa52 379 float32_t theta,
emilmont 1:fdd22bb7aa52 380 float32_t * pSinVal,
emilmont 1:fdd22bb7aa52 381 float32_t * pCosVal)
emilmont 1:fdd22bb7aa52 382 {
emilmont 1:fdd22bb7aa52 383 int32_t i; /* Index for reading nearwst output values */
emilmont 1:fdd22bb7aa52 384 float32_t x1 = -179.0f; /* Initial input value */
emilmont 1:fdd22bb7aa52 385 float32_t y0, y1; /* nearest output values */
emilmont 1:fdd22bb7aa52 386 float32_t y2, y3;
emilmont 1:fdd22bb7aa52 387 float32_t fract; /* fractional part of input */
emilmont 1:fdd22bb7aa52 388
emilmont 1:fdd22bb7aa52 389 /* Calculation of fractional part */
emilmont 1:fdd22bb7aa52 390 if(theta > 0.0f)
emilmont 1:fdd22bb7aa52 391 {
emilmont 1:fdd22bb7aa52 392 fract = theta - (float32_t) ((int32_t) theta);
emilmont 1:fdd22bb7aa52 393 }
emilmont 1:fdd22bb7aa52 394 else
emilmont 1:fdd22bb7aa52 395 {
emilmont 1:fdd22bb7aa52 396 fract = (theta - (float32_t) ((int32_t) theta)) + 1.0f;
emilmont 1:fdd22bb7aa52 397 }
emilmont 1:fdd22bb7aa52 398
emilmont 1:fdd22bb7aa52 399 /* index calculation for reading nearest output values */
emilmont 1:fdd22bb7aa52 400 i = (uint32_t) (theta - x1);
emilmont 1:fdd22bb7aa52 401
emilmont 1:fdd22bb7aa52 402 /* Checking min and max index of table */
emilmont 1:fdd22bb7aa52 403 if(i < 0)
emilmont 1:fdd22bb7aa52 404 {
emilmont 1:fdd22bb7aa52 405 i = 0;
emilmont 1:fdd22bb7aa52 406 }
emilmont 1:fdd22bb7aa52 407 else if(i >= 359)
emilmont 1:fdd22bb7aa52 408 {
emilmont 1:fdd22bb7aa52 409 i = 358;
emilmont 1:fdd22bb7aa52 410 }
emilmont 1:fdd22bb7aa52 411
emilmont 1:fdd22bb7aa52 412 /* reading nearest sine output values */
emilmont 1:fdd22bb7aa52 413 y0 = sinTable[i];
emilmont 1:fdd22bb7aa52 414 y1 = sinTable[i + 1u];
emilmont 1:fdd22bb7aa52 415
emilmont 1:fdd22bb7aa52 416 /* reading nearest cosine output values */
emilmont 1:fdd22bb7aa52 417 y2 = cosTable[i];
emilmont 1:fdd22bb7aa52 418 y3 = cosTable[i + 1u];
emilmont 1:fdd22bb7aa52 419
emilmont 1:fdd22bb7aa52 420 y1 = y1 - y0;
emilmont 1:fdd22bb7aa52 421 y3 = y3 - y2;
emilmont 1:fdd22bb7aa52 422
emilmont 1:fdd22bb7aa52 423 y1 = fract * y1;
emilmont 1:fdd22bb7aa52 424 y3 = fract * y3;
emilmont 1:fdd22bb7aa52 425
emilmont 1:fdd22bb7aa52 426 /* Calculation of sine value */
emilmont 1:fdd22bb7aa52 427 *pSinVal = y0 + y1;
emilmont 1:fdd22bb7aa52 428
emilmont 1:fdd22bb7aa52 429 /* Calculation of cosine value */
emilmont 1:fdd22bb7aa52 430 *pCosVal = y2 + y3;
emilmont 1:fdd22bb7aa52 431
emilmont 1:fdd22bb7aa52 432 }
emilmont 1:fdd22bb7aa52 433
emilmont 1:fdd22bb7aa52 434 /**
emilmont 1:fdd22bb7aa52 435 * @} end of SinCos group
emilmont 1:fdd22bb7aa52 436 */