CMSIS DSP Software Library: arm_sin_cos_f32.c Source File
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arm_sin_cos_f32.c
Go to the documentation of this file.00001 /* ----------------------------------------------------------------------
00002 * Copyright (C) 2010 ARM Limited. All rights reserved.
00003 *
00004 * $Date: 29. November 2010
00005 * $Revision: V1.0.3
00006 *
00007 * Project: CMSIS DSP Library
00008 * Title: arm_sin_cos_f32.c
00009 *
00010 * Description: Sine and Cosine calculation for floating-point values.
00011 *
00012 * Target Processor: Cortex-M4/Cortex-M3
00013 *
00014 * Version 1.0.3 2010/11/29
00015 * Re-organized the CMSIS folders and updated documentation.
00016 *
00017 * Version 1.0.2 2010/11/11
00018 * Documentation updated.
00019 *
00020 * Version 1.0.1 2010/10/05
00021 * Production release and review comments incorporated.
00022 *
00023 * Version 1.0.0 2010/09/20
00024 * Production release and review comments incorporated.
00025 * -------------------------------------------------------------------- */
00026
00027 #include "arm_math.h"
00028
00068 static const float32_t cosTable[360] = {
00069 -0.999847695156391270f, -0.999390827019095760f, -0.998629534754573830f,
00070 -0.997564050259824200f, -0.996194698091745550f, -0.994521895368273290f,
00071 -0.992546151641321980f, -0.990268068741570250f,
00072 -0.987688340595137660f, -0.984807753012208020f, -0.981627183447663980f,
00073 -0.978147600733805690f, -0.974370064785235250f, -0.970295726275996470f,
00074 -0.965925826289068200f, -0.961261695938318670f,
00075 -0.956304755963035440f, -0.951056516295153530f, -0.945518575599316740f,
00076 -0.939692620785908320f, -0.933580426497201740f, -0.927183854566787310f,
00077 -0.920504853452440150f, -0.913545457642600760f,
00078 -0.906307787036649940f, -0.898794046299167040f, -0.891006524188367790f,
00079 -0.882947592858926770f, -0.874619707139395740f, -0.866025403784438710f,
00080 -0.857167300702112220f, -0.848048096156425960f,
00081 -0.838670567945424160f, -0.829037572555041620f, -0.819152044288991580f,
00082 -0.809016994374947340f, -0.798635510047292940f, -0.788010753606721900f,
00083 -0.777145961456970680f, -0.766044443118977900f,
00084 -0.754709580222772010f, -0.743144825477394130f, -0.731353701619170460f,
00085 -0.719339800338651300f, -0.707106781186547460f, -0.694658370458997030f,
00086 -0.681998360062498370f, -0.669130606358858240f,
00087 -0.656059028990507500f, -0.642787609686539360f, -0.629320391049837280f,
00088 -0.615661475325658290f, -0.601815023152048380f, -0.587785252292473030f,
00089 -0.573576436351045830f, -0.559192903470746680f,
00090 -0.544639035015027080f, -0.529919264233204790f, -0.515038074910054270f,
00091 -0.499999999999999780f, -0.484809620246337000f, -0.469471562785890530f,
00092 -0.453990499739546750f, -0.438371146789077510f,
00093 -0.422618261740699330f, -0.406736643075800100f, -0.390731128489273600f,
00094 -0.374606593415912070f, -0.358367949545300270f, -0.342020143325668710f,
00095 -0.325568154457156420f, -0.309016994374947340f,
00096 -0.292371704722736660f, -0.275637355816999050f, -0.258819045102520850f,
00097 -0.241921895599667790f, -0.224951054343864810f, -0.207911690817759120f,
00098 -0.190808995376544800f, -0.173648177666930300f,
00099 -0.156434465040231040f, -0.139173100960065350f, -0.121869343405147370f,
00100 -0.104528463267653330f, -0.087155742747658235f, -0.069756473744125330f,
00101 -0.052335956242943620f, -0.034899496702500733f,
00102 -0.017452406437283477f, 0.000000000000000061f, 0.017452406437283376f,
00103 0.034899496702501080f, 0.052335956242943966f, 0.069756473744125455f,
00104 0.087155742747658138f, 0.104528463267653460f,
00105 0.121869343405147490f, 0.139173100960065690f, 0.156434465040230920f,
00106 0.173648177666930410f, 0.190808995376544920f, 0.207911690817759450f,
00107 0.224951054343864920f, 0.241921895599667900f,
00108 0.258819045102520740f, 0.275637355816999160f, 0.292371704722736770f,
00109 0.309016994374947450f, 0.325568154457156760f, 0.342020143325668820f,
00110 0.358367949545300380f, 0.374606593415911960f,
00111 0.390731128489273940f, 0.406736643075800210f, 0.422618261740699440f,
00112 0.438371146789077460f, 0.453990499739546860f, 0.469471562785890860f,
00113 0.484809620246337110f, 0.500000000000000110f,
00114 0.515038074910054380f, 0.529919264233204900f, 0.544639035015027200f,
00115 0.559192903470746790f, 0.573576436351046050f, 0.587785252292473140f,
00116 0.601815023152048270f, 0.615661475325658290f,
00117 0.629320391049837500f, 0.642787609686539360f, 0.656059028990507280f,
00118 0.669130606358858240f, 0.681998360062498480f, 0.694658370458997370f,
00119 0.707106781186547570f, 0.719339800338651190f,
00120 0.731353701619170570f, 0.743144825477394240f, 0.754709580222772010f,
00121 0.766044443118978010f, 0.777145961456970900f, 0.788010753606722010f,
00122 0.798635510047292830f, 0.809016994374947450f,
00123 0.819152044288991800f, 0.829037572555041620f, 0.838670567945424050f,
00124 0.848048096156425960f, 0.857167300702112330f, 0.866025403784438710f,
00125 0.874619707139395740f, 0.882947592858926990f,
00126 0.891006524188367900f, 0.898794046299167040f, 0.906307787036649940f,
00127 0.913545457642600870f, 0.920504853452440370f, 0.927183854566787420f,
00128 0.933580426497201740f, 0.939692620785908430f,
00129 0.945518575599316850f, 0.951056516295153530f, 0.956304755963035440f,
00130 0.961261695938318890f, 0.965925826289068310f, 0.970295726275996470f,
00131 0.974370064785235250f, 0.978147600733805690f,
00132 0.981627183447663980f, 0.984807753012208020f, 0.987688340595137770f,
00133 0.990268068741570360f, 0.992546151641321980f, 0.994521895368273290f,
00134 0.996194698091745550f, 0.997564050259824200f,
00135 0.998629534754573830f, 0.999390827019095760f, 0.999847695156391270f,
00136 1.000000000000000000f, 0.999847695156391270f, 0.999390827019095760f,
00137 0.998629534754573830f, 0.997564050259824200f,
00138 0.996194698091745550f, 0.994521895368273290f, 0.992546151641321980f,
00139 0.990268068741570360f, 0.987688340595137770f, 0.984807753012208020f,
00140 0.981627183447663980f, 0.978147600733805690f,
00141 0.974370064785235250f, 0.970295726275996470f, 0.965925826289068310f,
00142 0.961261695938318890f, 0.956304755963035440f, 0.951056516295153530f,
00143 0.945518575599316850f, 0.939692620785908430f,
00144 0.933580426497201740f, 0.927183854566787420f, 0.920504853452440370f,
00145 0.913545457642600870f, 0.906307787036649940f, 0.898794046299167040f,
00146 0.891006524188367900f, 0.882947592858926990f,
00147 0.874619707139395740f, 0.866025403784438710f, 0.857167300702112330f,
00148 0.848048096156425960f, 0.838670567945424050f, 0.829037572555041620f,
00149 0.819152044288991800f, 0.809016994374947450f,
00150 0.798635510047292830f, 0.788010753606722010f, 0.777145961456970900f,
00151 0.766044443118978010f, 0.754709580222772010f, 0.743144825477394240f,
00152 0.731353701619170570f, 0.719339800338651190f,
00153 0.707106781186547570f, 0.694658370458997370f, 0.681998360062498480f,
00154 0.669130606358858240f, 0.656059028990507280f, 0.642787609686539360f,
00155 0.629320391049837500f, 0.615661475325658290f,
00156 0.601815023152048270f, 0.587785252292473140f, 0.573576436351046050f,
00157 0.559192903470746790f, 0.544639035015027200f, 0.529919264233204900f,
00158 0.515038074910054380f, 0.500000000000000110f,
00159 0.484809620246337110f, 0.469471562785890860f, 0.453990499739546860f,
00160 0.438371146789077460f, 0.422618261740699440f, 0.406736643075800210f,
00161 0.390731128489273940f, 0.374606593415911960f,
00162 0.358367949545300380f, 0.342020143325668820f, 0.325568154457156760f,
00163 0.309016994374947450f, 0.292371704722736770f, 0.275637355816999160f,
00164 0.258819045102520740f, 0.241921895599667900f,
00165 0.224951054343864920f, 0.207911690817759450f, 0.190808995376544920f,
00166 0.173648177666930410f, 0.156434465040230920f, 0.139173100960065690f,
00167 0.121869343405147490f, 0.104528463267653460f,
00168 0.087155742747658138f, 0.069756473744125455f, 0.052335956242943966f,
00169 0.034899496702501080f, 0.017452406437283376f, 0.000000000000000061f,
00170 -0.017452406437283477f, -0.034899496702500733f,
00171 -0.052335956242943620f, -0.069756473744125330f, -0.087155742747658235f,
00172 -0.104528463267653330f, -0.121869343405147370f, -0.139173100960065350f,
00173 -0.156434465040231040f, -0.173648177666930300f,
00174 -0.190808995376544800f, -0.207911690817759120f, -0.224951054343864810f,
00175 -0.241921895599667790f, -0.258819045102520850f, -0.275637355816999050f,
00176 -0.292371704722736660f, -0.309016994374947340f,
00177 -0.325568154457156420f, -0.342020143325668710f, -0.358367949545300270f,
00178 -0.374606593415912070f, -0.390731128489273600f, -0.406736643075800100f,
00179 -0.422618261740699330f, -0.438371146789077510f,
00180 -0.453990499739546750f, -0.469471562785890530f, -0.484809620246337000f,
00181 -0.499999999999999780f, -0.515038074910054270f, -0.529919264233204790f,
00182 -0.544639035015027080f, -0.559192903470746680f,
00183 -0.573576436351045830f, -0.587785252292473030f, -0.601815023152048380f,
00184 -0.615661475325658290f, -0.629320391049837280f, -0.642787609686539360f,
00185 -0.656059028990507500f, -0.669130606358858240f,
00186 -0.681998360062498370f, -0.694658370458997030f, -0.707106781186547460f,
00187 -0.719339800338651300f, -0.731353701619170460f, -0.743144825477394130f,
00188 -0.754709580222772010f, -0.766044443118977900f,
00189 -0.777145961456970680f, -0.788010753606721900f, -0.798635510047292940f,
00190 -0.809016994374947340f, -0.819152044288991580f, -0.829037572555041620f,
00191 -0.838670567945424160f, -0.848048096156425960f,
00192 -0.857167300702112220f, -0.866025403784438710f, -0.874619707139395740f,
00193 -0.882947592858926770f, -0.891006524188367790f, -0.898794046299167040f,
00194 -0.906307787036649940f, -0.913545457642600760f,
00195 -0.920504853452440150f, -0.927183854566787310f, -0.933580426497201740f,
00196 -0.939692620785908320f, -0.945518575599316740f, -0.951056516295153530f,
00197 -0.956304755963035440f, -0.961261695938318670f,
00198 -0.965925826289068200f, -0.970295726275996470f, -0.974370064785235250f,
00199 -0.978147600733805690f, -0.981627183447663980f, -0.984807753012208020f,
00200 -0.987688340595137660f, -0.990268068741570250f,
00201 -0.992546151641321980f, -0.994521895368273290f, -0.996194698091745550f,
00202 -0.997564050259824200f, -0.998629534754573830f, -0.999390827019095760f,
00203 -0.999847695156391270f, -1.000000000000000000f
00204 };
00205
00216 static const float32_t sinTable[360] = {
00217 -0.017452406437283439f, -0.034899496702500699f, -0.052335956242943807f,
00218 -0.069756473744125524f, -0.087155742747658638f, -0.104528463267653730f,
00219 -0.121869343405147550f, -0.139173100960065740f,
00220 -0.156434465040230980f, -0.173648177666930280f, -0.190808995376544970f,
00221 -0.207911690817759310f, -0.224951054343864780f, -0.241921895599667730f,
00222 -0.258819045102521020f, -0.275637355816999660f,
00223 -0.292371704722737050f, -0.309016994374947510f, -0.325568154457156980f,
00224 -0.342020143325668880f, -0.358367949545300210f, -0.374606593415912240f,
00225 -0.390731128489274160f, -0.406736643075800430f,
00226 -0.422618261740699500f, -0.438371146789077290f, -0.453990499739546860f,
00227 -0.469471562785891080f, -0.484809620246337170f, -0.499999999999999940f,
00228 -0.515038074910054380f, -0.529919264233204900f,
00229 -0.544639035015026860f, -0.559192903470746900f, -0.573576436351046380f,
00230 -0.587785252292473250f, -0.601815023152048160f, -0.615661475325658400f,
00231 -0.629320391049837720f, -0.642787609686539470f,
00232 -0.656059028990507280f, -0.669130606358858350f, -0.681998360062498590f,
00233 -0.694658370458997140f, -0.707106781186547570f, -0.719339800338651410f,
00234 -0.731353701619170570f, -0.743144825477394240f,
00235 -0.754709580222771790f, -0.766044443118978010f, -0.777145961456971010f,
00236 -0.788010753606722010f, -0.798635510047292720f, -0.809016994374947450f,
00237 -0.819152044288992020f, -0.829037572555041740f,
00238 -0.838670567945424050f, -0.848048096156426070f, -0.857167300702112330f,
00239 -0.866025403784438710f, -0.874619707139395850f, -0.882947592858927100f,
00240 -0.891006524188367900f, -0.898794046299166930f,
00241 -0.906307787036650050f, -0.913545457642600980f, -0.920504853452440370f,
00242 -0.927183854566787420f, -0.933580426497201740f, -0.939692620785908430f,
00243 -0.945518575599316850f, -0.951056516295153640f,
00244 -0.956304755963035550f, -0.961261695938318890f, -0.965925826289068310f,
00245 -0.970295726275996470f, -0.974370064785235250f, -0.978147600733805690f,
00246 -0.981627183447663980f, -0.984807753012208020f,
00247 -0.987688340595137660f, -0.990268068741570360f, -0.992546151641322090f,
00248 -0.994521895368273400f, -0.996194698091745550f, -0.997564050259824200f,
00249 -0.998629534754573830f, -0.999390827019095760f,
00250 -0.999847695156391270f, -1.000000000000000000f, -0.999847695156391270f,
00251 -0.999390827019095760f, -0.998629534754573830f, -0.997564050259824200f,
00252 -0.996194698091745550f, -0.994521895368273290f,
00253 -0.992546151641321980f, -0.990268068741570250f, -0.987688340595137770f,
00254 -0.984807753012208020f, -0.981627183447663980f, -0.978147600733805580f,
00255 -0.974370064785235250f, -0.970295726275996470f,
00256 -0.965925826289068310f, -0.961261695938318890f, -0.956304755963035440f,
00257 -0.951056516295153530f, -0.945518575599316740f, -0.939692620785908320f,
00258 -0.933580426497201740f, -0.927183854566787420f,
00259 -0.920504853452440260f, -0.913545457642600870f, -0.906307787036649940f,
00260 -0.898794046299167040f, -0.891006524188367790f, -0.882947592858926880f,
00261 -0.874619707139395740f, -0.866025403784438600f,
00262 -0.857167300702112220f, -0.848048096156426070f, -0.838670567945423940f,
00263 -0.829037572555041740f, -0.819152044288991800f, -0.809016994374947450f,
00264 -0.798635510047292830f, -0.788010753606722010f,
00265 -0.777145961456970790f, -0.766044443118978010f, -0.754709580222772010f,
00266 -0.743144825477394240f, -0.731353701619170460f, -0.719339800338651080f,
00267 -0.707106781186547460f, -0.694658370458997250f,
00268 -0.681998360062498480f, -0.669130606358858240f, -0.656059028990507160f,
00269 -0.642787609686539250f, -0.629320391049837390f, -0.615661475325658180f,
00270 -0.601815023152048270f, -0.587785252292473140f,
00271 -0.573576436351046050f, -0.559192903470746900f, -0.544639035015027080f,
00272 -0.529919264233204900f, -0.515038074910054160f, -0.499999999999999940f,
00273 -0.484809620246337060f, -0.469471562785890810f,
00274 -0.453990499739546750f, -0.438371146789077400f, -0.422618261740699440f,
00275 -0.406736643075800150f, -0.390731128489273720f, -0.374606593415912010f,
00276 -0.358367949545300270f, -0.342020143325668710f,
00277 -0.325568154457156640f, -0.309016994374947400f, -0.292371704722736770f,
00278 -0.275637355816999160f, -0.258819045102520740f, -0.241921895599667730f,
00279 -0.224951054343865000f, -0.207911690817759310f,
00280 -0.190808995376544800f, -0.173648177666930330f, -0.156434465040230870f,
00281 -0.139173100960065440f, -0.121869343405147480f, -0.104528463267653460f,
00282 -0.087155742747658166f, -0.069756473744125302f,
00283 -0.052335956242943828f, -0.034899496702500969f, -0.017452406437283512f,
00284 0.000000000000000000f, 0.017452406437283512f, 0.034899496702500969f,
00285 0.052335956242943828f, 0.069756473744125302f,
00286 0.087155742747658166f, 0.104528463267653460f, 0.121869343405147480f,
00287 0.139173100960065440f, 0.156434465040230870f, 0.173648177666930330f,
00288 0.190808995376544800f, 0.207911690817759310f,
00289 0.224951054343865000f, 0.241921895599667730f, 0.258819045102520740f,
00290 0.275637355816999160f, 0.292371704722736770f, 0.309016994374947400f,
00291 0.325568154457156640f, 0.342020143325668710f,
00292 0.358367949545300270f, 0.374606593415912010f, 0.390731128489273720f,
00293 0.406736643075800150f, 0.422618261740699440f, 0.438371146789077400f,
00294 0.453990499739546750f, 0.469471562785890810f,
00295 0.484809620246337060f, 0.499999999999999940f, 0.515038074910054160f,
00296 0.529919264233204900f, 0.544639035015027080f, 0.559192903470746900f,
00297 0.573576436351046050f, 0.587785252292473140f,
00298 0.601815023152048270f, 0.615661475325658180f, 0.629320391049837390f,
00299 0.642787609686539250f, 0.656059028990507160f, 0.669130606358858240f,
00300 0.681998360062498480f, 0.694658370458997250f,
00301 0.707106781186547460f, 0.719339800338651080f, 0.731353701619170460f,
00302 0.743144825477394240f, 0.754709580222772010f, 0.766044443118978010f,
00303 0.777145961456970790f, 0.788010753606722010f,
00304 0.798635510047292830f, 0.809016994374947450f, 0.819152044288991800f,
00305 0.829037572555041740f, 0.838670567945423940f, 0.848048096156426070f,
00306 0.857167300702112220f, 0.866025403784438600f,
00307 0.874619707139395740f, 0.882947592858926880f, 0.891006524188367790f,
00308 0.898794046299167040f, 0.906307787036649940f, 0.913545457642600870f,
00309 0.920504853452440260f, 0.927183854566787420f,
00310 0.933580426497201740f, 0.939692620785908320f, 0.945518575599316740f,
00311 0.951056516295153530f, 0.956304755963035440f, 0.961261695938318890f,
00312 0.965925826289068310f, 0.970295726275996470f,
00313 0.974370064785235250f, 0.978147600733805580f, 0.981627183447663980f,
00314 0.984807753012208020f, 0.987688340595137770f, 0.990268068741570250f,
00315 0.992546151641321980f, 0.994521895368273290f,
00316 0.996194698091745550f, 0.997564050259824200f, 0.998629534754573830f,
00317 0.999390827019095760f, 0.999847695156391270f, 1.000000000000000000f,
00318 0.999847695156391270f, 0.999390827019095760f,
00319 0.998629534754573830f, 0.997564050259824200f, 0.996194698091745550f,
00320 0.994521895368273400f, 0.992546151641322090f, 0.990268068741570360f,
00321 0.987688340595137660f, 0.984807753012208020f,
00322 0.981627183447663980f, 0.978147600733805690f, 0.974370064785235250f,
00323 0.970295726275996470f, 0.965925826289068310f, 0.961261695938318890f,
00324 0.956304755963035550f, 0.951056516295153640f,
00325 0.945518575599316850f, 0.939692620785908430f, 0.933580426497201740f,
00326 0.927183854566787420f, 0.920504853452440370f, 0.913545457642600980f,
00327 0.906307787036650050f, 0.898794046299166930f,
00328 0.891006524188367900f, 0.882947592858927100f, 0.874619707139395850f,
00329 0.866025403784438710f, 0.857167300702112330f, 0.848048096156426070f,
00330 0.838670567945424050f, 0.829037572555041740f,
00331 0.819152044288992020f, 0.809016994374947450f, 0.798635510047292720f,
00332 0.788010753606722010f, 0.777145961456971010f, 0.766044443118978010f,
00333 0.754709580222771790f, 0.743144825477394240f,
00334 0.731353701619170570f, 0.719339800338651410f, 0.707106781186547570f,
00335 0.694658370458997140f, 0.681998360062498590f, 0.669130606358858350f,
00336 0.656059028990507280f, 0.642787609686539470f,
00337 0.629320391049837720f, 0.615661475325658400f, 0.601815023152048160f,
00338 0.587785252292473250f, 0.573576436351046380f, 0.559192903470746900f,
00339 0.544639035015026860f, 0.529919264233204900f,
00340 0.515038074910054380f, 0.499999999999999940f, 0.484809620246337170f,
00341 0.469471562785891080f, 0.453990499739546860f, 0.438371146789077290f,
00342 0.422618261740699500f, 0.406736643075800430f,
00343 0.390731128489274160f, 0.374606593415912240f, 0.358367949545300210f,
00344 0.342020143325668880f, 0.325568154457156980f, 0.309016994374947510f,
00345 0.292371704722737050f, 0.275637355816999660f,
00346 0.258819045102521020f, 0.241921895599667730f, 0.224951054343864780f,
00347 0.207911690817759310f, 0.190808995376544970f, 0.173648177666930280f,
00348 0.156434465040230980f, 0.139173100960065740f,
00349 0.121869343405147550f, 0.104528463267653730f, 0.087155742747658638f,
00350 0.069756473744125524f, 0.052335956242943807f, 0.034899496702500699f,
00351 0.017452406437283439f, 0.000000000000000122f
00352 };
00353
00354
00364 void arm_sin_cos_f32(
00365 float32_t theta,
00366 float32_t * pSinVal,
00367 float32_t * pCosVal)
00368 {
00369 uint32_t i; /* Index for reading nearwst output values */
00370 float32_t x1 = -179.0f; /* Initial input value */
00371 float32_t y0, y1; /* nearest output values */
00372 float32_t fract; /* fractional part of input */
00373
00374 /* Calculation of fractional part */
00375 if(theta > 0.0f)
00376 {
00377 fract = theta - (float32_t) ((int32_t) theta);
00378 }
00379 else
00380 {
00381 fract = (theta - (float32_t) ((int32_t) theta)) + 1.0f;
00382 }
00383
00384 /* index calculation for reading nearest output values */
00385 i = (uint32_t) (theta - x1);
00386
00387 /* reading nearest sine output values */
00388 y0 = sinTable[i];
00389 y1 = sinTable[i + 1u];
00390
00391 /* Calculation of sine value */
00392 *pSinVal = y0 + (fract * (y1 - y0));
00393
00394 /* reading nearest cosine output values */
00395 y0 = cosTable[i];
00396 y1 = cosTable[i + 1u];
00397
00398 /* Calculation of cosine value */
00399 *pCosVal = y0 + (fract * (y1 - y0));
00400
00401 }
00402
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Generated on Mon Nov 29 2010 17:19:57 for CMSIS DSP Software Library by
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