arm_sin_cos_f32.c
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00001 /* ---------------------------------------------------------------------- 00002 * Copyright (C) 2011 ARM Limited. All rights reserved. 00003 * 00004 * $Date: 15. December 2011 00005 * $Revision: V2.0.0 00006 * 00007 * Project: Cortex-R 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-R4/R5 00013 * 00014 * Version 1.0.0 2011/03/08 00015 * Alpha release. 00016 * 00017 * Version 1.0.1 2011/09/30 00018 * Beta release. 00019 * 00020 * Version 2.0.0 2011/12/15 00021 * Final release. 00022 * 00023 * -------------------------------------------------------------------- */ 00024 #include "arm_math.h" 00025 00065 static const float32_t cosTable[360] = { 00066 -0.999847695156391270f, -0.999390827019095760f, -0.998629534754573830f, 00067 -0.997564050259824200f, -0.996194698091745550f, -0.994521895368273290f, 00068 -0.992546151641321980f, -0.990268068741570250f, 00069 -0.987688340595137660f, -0.984807753012208020f, -0.981627183447663980f, 00070 -0.978147600733805690f, -0.974370064785235250f, -0.970295726275996470f, 00071 -0.965925826289068200f, -0.961261695938318670f, 00072 -0.956304755963035440f, -0.951056516295153530f, -0.945518575599316740f, 00073 -0.939692620785908320f, -0.933580426497201740f, -0.927183854566787310f, 00074 -0.920504853452440150f, -0.913545457642600760f, 00075 -0.906307787036649940f, -0.898794046299167040f, -0.891006524188367790f, 00076 -0.882947592858926770f, -0.874619707139395740f, -0.866025403784438710f, 00077 -0.857167300702112220f, -0.848048096156425960f, 00078 -0.838670567945424160f, -0.829037572555041620f, -0.819152044288991580f, 00079 -0.809016994374947340f, -0.798635510047292940f, -0.788010753606721900f, 00080 -0.777145961456970680f, -0.766044443118977900f, 00081 -0.754709580222772010f, -0.743144825477394130f, -0.731353701619170460f, 00082 -0.719339800338651300f, -0.707106781186547460f, -0.694658370458997030f, 00083 -0.681998360062498370f, -0.669130606358858240f, 00084 -0.656059028990507500f, -0.642787609686539360f, -0.629320391049837280f, 00085 -0.615661475325658290f, -0.601815023152048380f, -0.587785252292473030f, 00086 -0.573576436351045830f, -0.559192903470746680f, 00087 -0.544639035015027080f, -0.529919264233204790f, -0.515038074910054270f, 00088 -0.499999999999999780f, -0.484809620246337000f, -0.469471562785890530f, 00089 -0.453990499739546750f, -0.438371146789077510f, 00090 -0.422618261740699330f, -0.406736643075800100f, -0.390731128489273600f, 00091 -0.374606593415912070f, -0.358367949545300270f, -0.342020143325668710f, 00092 -0.325568154457156420f, -0.309016994374947340f, 00093 -0.292371704722736660f, -0.275637355816999050f, -0.258819045102520850f, 00094 -0.241921895599667790f, -0.224951054343864810f, -0.207911690817759120f, 00095 -0.190808995376544800f, -0.173648177666930300f, 00096 -0.156434465040231040f, -0.139173100960065350f, -0.121869343405147370f, 00097 -0.104528463267653330f, -0.087155742747658235f, -0.069756473744125330f, 00098 -0.052335956242943620f, -0.034899496702500733f, 00099 -0.017452406437283477f, 0.000000000000000061f, 0.017452406437283376f, 00100 0.034899496702501080f, 0.052335956242943966f, 0.069756473744125455f, 00101 0.087155742747658138f, 0.104528463267653460f, 00102 0.121869343405147490f, 0.139173100960065690f, 0.156434465040230920f, 00103 0.173648177666930410f, 0.190808995376544920f, 0.207911690817759450f, 00104 0.224951054343864920f, 0.241921895599667900f, 00105 0.258819045102520740f, 0.275637355816999160f, 0.292371704722736770f, 00106 0.309016994374947450f, 0.325568154457156760f, 0.342020143325668820f, 00107 0.358367949545300380f, 0.374606593415911960f, 00108 0.390731128489273940f, 0.406736643075800210f, 0.422618261740699440f, 00109 0.438371146789077460f, 0.453990499739546860f, 0.469471562785890860f, 00110 0.484809620246337110f, 0.500000000000000110f, 00111 0.515038074910054380f, 0.529919264233204900f, 0.544639035015027200f, 00112 0.559192903470746790f, 0.573576436351046050f, 0.587785252292473140f, 00113 0.601815023152048270f, 0.615661475325658290f, 00114 0.629320391049837500f, 0.642787609686539360f, 0.656059028990507280f, 00115 0.669130606358858240f, 0.681998360062498480f, 0.694658370458997370f, 00116 0.707106781186547570f, 0.719339800338651190f, 00117 0.731353701619170570f, 0.743144825477394240f, 0.754709580222772010f, 00118 0.766044443118978010f, 0.777145961456970900f, 0.788010753606722010f, 00119 0.798635510047292830f, 0.809016994374947450f, 00120 0.819152044288991800f, 0.829037572555041620f, 0.838670567945424050f, 00121 0.848048096156425960f, 0.857167300702112330f, 0.866025403784438710f, 00122 0.874619707139395740f, 0.882947592858926990f, 00123 0.891006524188367900f, 0.898794046299167040f, 0.906307787036649940f, 00124 0.913545457642600870f, 0.920504853452440370f, 0.927183854566787420f, 00125 0.933580426497201740f, 0.939692620785908430f, 00126 0.945518575599316850f, 0.951056516295153530f, 0.956304755963035440f, 00127 0.961261695938318890f, 0.965925826289068310f, 0.970295726275996470f, 00128 0.974370064785235250f, 0.978147600733805690f, 00129 0.981627183447663980f, 0.984807753012208020f, 0.987688340595137770f, 00130 0.990268068741570360f, 0.992546151641321980f, 0.994521895368273290f, 00131 0.996194698091745550f, 0.997564050259824200f, 00132 0.998629534754573830f, 0.999390827019095760f, 0.999847695156391270f, 00133 1.000000000000000000f, 0.999847695156391270f, 0.999390827019095760f, 00134 0.998629534754573830f, 0.997564050259824200f, 00135 0.996194698091745550f, 0.994521895368273290f, 0.992546151641321980f, 00136 0.990268068741570360f, 0.987688340595137770f, 0.984807753012208020f, 00137 0.981627183447663980f, 0.978147600733805690f, 00138 0.974370064785235250f, 0.970295726275996470f, 0.965925826289068310f, 00139 0.961261695938318890f, 0.956304755963035440f, 0.951056516295153530f, 00140 0.945518575599316850f, 0.939692620785908430f, 00141 0.933580426497201740f, 0.927183854566787420f, 0.920504853452440370f, 00142 0.913545457642600870f, 0.906307787036649940f, 0.898794046299167040f, 00143 0.891006524188367900f, 0.882947592858926990f, 00144 0.874619707139395740f, 0.866025403784438710f, 0.857167300702112330f, 00145 0.848048096156425960f, 0.838670567945424050f, 0.829037572555041620f, 00146 0.819152044288991800f, 0.809016994374947450f, 00147 0.798635510047292830f, 0.788010753606722010f, 0.777145961456970900f, 00148 0.766044443118978010f, 0.754709580222772010f, 0.743144825477394240f, 00149 0.731353701619170570f, 0.719339800338651190f, 00150 0.707106781186547570f, 0.694658370458997370f, 0.681998360062498480f, 00151 0.669130606358858240f, 0.656059028990507280f, 0.642787609686539360f, 00152 0.629320391049837500f, 0.615661475325658290f, 00153 0.601815023152048270f, 0.587785252292473140f, 0.573576436351046050f, 00154 0.559192903470746790f, 0.544639035015027200f, 0.529919264233204900f, 00155 0.515038074910054380f, 0.500000000000000110f, 00156 0.484809620246337110f, 0.469471562785890860f, 0.453990499739546860f, 00157 0.438371146789077460f, 0.422618261740699440f, 0.406736643075800210f, 00158 0.390731128489273940f, 0.374606593415911960f, 00159 0.358367949545300380f, 0.342020143325668820f, 0.325568154457156760f, 00160 0.309016994374947450f, 0.292371704722736770f, 0.275637355816999160f, 00161 0.258819045102520740f, 0.241921895599667900f, 00162 0.224951054343864920f, 0.207911690817759450f, 0.190808995376544920f, 00163 0.173648177666930410f, 0.156434465040230920f, 0.139173100960065690f, 00164 0.121869343405147490f, 0.104528463267653460f, 00165 0.087155742747658138f, 0.069756473744125455f, 0.052335956242943966f, 00166 0.034899496702501080f, 0.017452406437283376f, 0.000000000000000061f, 00167 -0.017452406437283477f, -0.034899496702500733f, 00168 -0.052335956242943620f, -0.069756473744125330f, -0.087155742747658235f, 00169 -0.104528463267653330f, -0.121869343405147370f, -0.139173100960065350f, 00170 -0.156434465040231040f, -0.173648177666930300f, 00171 -0.190808995376544800f, -0.207911690817759120f, -0.224951054343864810f, 00172 -0.241921895599667790f, -0.258819045102520850f, -0.275637355816999050f, 00173 -0.292371704722736660f, -0.309016994374947340f, 00174 -0.325568154457156420f, -0.342020143325668710f, -0.358367949545300270f, 00175 -0.374606593415912070f, -0.390731128489273600f, -0.406736643075800100f, 00176 -0.422618261740699330f, -0.438371146789077510f, 00177 -0.453990499739546750f, -0.469471562785890530f, -0.484809620246337000f, 00178 -0.499999999999999780f, -0.515038074910054270f, -0.529919264233204790f, 00179 -0.544639035015027080f, -0.559192903470746680f, 00180 -0.573576436351045830f, -0.587785252292473030f, -0.601815023152048380f, 00181 -0.615661475325658290f, -0.629320391049837280f, -0.642787609686539360f, 00182 -0.656059028990507500f, -0.669130606358858240f, 00183 -0.681998360062498370f, -0.694658370458997030f, -0.707106781186547460f, 00184 -0.719339800338651300f, -0.731353701619170460f, -0.743144825477394130f, 00185 -0.754709580222772010f, -0.766044443118977900f, 00186 -0.777145961456970680f, -0.788010753606721900f, -0.798635510047292940f, 00187 -0.809016994374947340f, -0.819152044288991580f, -0.829037572555041620f, 00188 -0.838670567945424160f, -0.848048096156425960f, 00189 -0.857167300702112220f, -0.866025403784438710f, -0.874619707139395740f, 00190 -0.882947592858926770f, -0.891006524188367790f, -0.898794046299167040f, 00191 -0.906307787036649940f, -0.913545457642600760f, 00192 -0.920504853452440150f, -0.927183854566787310f, -0.933580426497201740f, 00193 -0.939692620785908320f, -0.945518575599316740f, -0.951056516295153530f, 00194 -0.956304755963035440f, -0.961261695938318670f, 00195 -0.965925826289068200f, -0.970295726275996470f, -0.974370064785235250f, 00196 -0.978147600733805690f, -0.981627183447663980f, -0.984807753012208020f, 00197 -0.987688340595137660f, -0.990268068741570250f, 00198 -0.992546151641321980f, -0.994521895368273290f, -0.996194698091745550f, 00199 -0.997564050259824200f, -0.998629534754573830f, -0.999390827019095760f, 00200 -0.999847695156391270f, -1.000000000000000000f 00201 }; 00202 00213 static const float32_t sinTable[360] = { 00214 -0.017452406437283439f, -0.034899496702500699f, -0.052335956242943807f, 00215 -0.069756473744125524f, -0.087155742747658638f, -0.104528463267653730f, 00216 -0.121869343405147550f, -0.139173100960065740f, 00217 -0.156434465040230980f, -0.173648177666930280f, -0.190808995376544970f, 00218 -0.207911690817759310f, -0.224951054343864780f, -0.241921895599667730f, 00219 -0.258819045102521020f, -0.275637355816999660f, 00220 -0.292371704722737050f, -0.309016994374947510f, -0.325568154457156980f, 00221 -0.342020143325668880f, -0.358367949545300210f, -0.374606593415912240f, 00222 -0.390731128489274160f, -0.406736643075800430f, 00223 -0.422618261740699500f, -0.438371146789077290f, -0.453990499739546860f, 00224 -0.469471562785891080f, -0.484809620246337170f, -0.499999999999999940f, 00225 -0.515038074910054380f, -0.529919264233204900f, 00226 -0.544639035015026860f, -0.559192903470746900f, -0.573576436351046380f, 00227 -0.587785252292473250f, -0.601815023152048160f, -0.615661475325658400f, 00228 -0.629320391049837720f, -0.642787609686539470f, 00229 -0.656059028990507280f, -0.669130606358858350f, -0.681998360062498590f, 00230 -0.694658370458997140f, -0.707106781186547570f, -0.719339800338651410f, 00231 -0.731353701619170570f, -0.743144825477394240f, 00232 -0.754709580222771790f, -0.766044443118978010f, -0.777145961456971010f, 00233 -0.788010753606722010f, -0.798635510047292720f, -0.809016994374947450f, 00234 -0.819152044288992020f, -0.829037572555041740f, 00235 -0.838670567945424050f, -0.848048096156426070f, -0.857167300702112330f, 00236 -0.866025403784438710f, -0.874619707139395850f, -0.882947592858927100f, 00237 -0.891006524188367900f, -0.898794046299166930f, 00238 -0.906307787036650050f, -0.913545457642600980f, -0.920504853452440370f, 00239 -0.927183854566787420f, -0.933580426497201740f, -0.939692620785908430f, 00240 -0.945518575599316850f, -0.951056516295153640f, 00241 -0.956304755963035550f, -0.961261695938318890f, -0.965925826289068310f, 00242 -0.970295726275996470f, -0.974370064785235250f, -0.978147600733805690f, 00243 -0.981627183447663980f, -0.984807753012208020f, 00244 -0.987688340595137660f, -0.990268068741570360f, -0.992546151641322090f, 00245 -0.994521895368273400f, -0.996194698091745550f, -0.997564050259824200f, 00246 -0.998629534754573830f, -0.999390827019095760f, 00247 -0.999847695156391270f, -1.000000000000000000f, -0.999847695156391270f, 00248 -0.999390827019095760f, -0.998629534754573830f, -0.997564050259824200f, 00249 -0.996194698091745550f, -0.994521895368273290f, 00250 -0.992546151641321980f, -0.990268068741570250f, -0.987688340595137770f, 00251 -0.984807753012208020f, -0.981627183447663980f, -0.978147600733805580f, 00252 -0.974370064785235250f, -0.970295726275996470f, 00253 -0.965925826289068310f, -0.961261695938318890f, -0.956304755963035440f, 00254 -0.951056516295153530f, -0.945518575599316740f, -0.939692620785908320f, 00255 -0.933580426497201740f, -0.927183854566787420f, 00256 -0.920504853452440260f, -0.913545457642600870f, -0.906307787036649940f, 00257 -0.898794046299167040f, -0.891006524188367790f, -0.882947592858926880f, 00258 -0.874619707139395740f, -0.866025403784438600f, 00259 -0.857167300702112220f, -0.848048096156426070f, -0.838670567945423940f, 00260 -0.829037572555041740f, -0.819152044288991800f, -0.809016994374947450f, 00261 -0.798635510047292830f, -0.788010753606722010f, 00262 -0.777145961456970790f, -0.766044443118978010f, -0.754709580222772010f, 00263 -0.743144825477394240f, -0.731353701619170460f, -0.719339800338651080f, 00264 -0.707106781186547460f, -0.694658370458997250f, 00265 -0.681998360062498480f, -0.669130606358858240f, -0.656059028990507160f, 00266 -0.642787609686539250f, -0.629320391049837390f, -0.615661475325658180f, 00267 -0.601815023152048270f, -0.587785252292473140f, 00268 -0.573576436351046050f, -0.559192903470746900f, -0.544639035015027080f, 00269 -0.529919264233204900f, -0.515038074910054160f, -0.499999999999999940f, 00270 -0.484809620246337060f, -0.469471562785890810f, 00271 -0.453990499739546750f, -0.438371146789077400f, -0.422618261740699440f, 00272 -0.406736643075800150f, -0.390731128489273720f, -0.374606593415912010f, 00273 -0.358367949545300270f, -0.342020143325668710f, 00274 -0.325568154457156640f, -0.309016994374947400f, -0.292371704722736770f, 00275 -0.275637355816999160f, -0.258819045102520740f, -0.241921895599667730f, 00276 -0.224951054343865000f, -0.207911690817759310f, 00277 -0.190808995376544800f, -0.173648177666930330f, -0.156434465040230870f, 00278 -0.139173100960065440f, -0.121869343405147480f, -0.104528463267653460f, 00279 -0.087155742747658166f, -0.069756473744125302f, 00280 -0.052335956242943828f, -0.034899496702500969f, -0.017452406437283512f, 00281 0.000000000000000000f, 0.017452406437283512f, 0.034899496702500969f, 00282 0.052335956242943828f, 0.069756473744125302f, 00283 0.087155742747658166f, 0.104528463267653460f, 0.121869343405147480f, 00284 0.139173100960065440f, 0.156434465040230870f, 0.173648177666930330f, 00285 0.190808995376544800f, 0.207911690817759310f, 00286 0.224951054343865000f, 0.241921895599667730f, 0.258819045102520740f, 00287 0.275637355816999160f, 0.292371704722736770f, 0.309016994374947400f, 00288 0.325568154457156640f, 0.342020143325668710f, 00289 0.358367949545300270f, 0.374606593415912010f, 0.390731128489273720f, 00290 0.406736643075800150f, 0.422618261740699440f, 0.438371146789077400f, 00291 0.453990499739546750f, 0.469471562785890810f, 00292 0.484809620246337060f, 0.499999999999999940f, 0.515038074910054160f, 00293 0.529919264233204900f, 0.544639035015027080f, 0.559192903470746900f, 00294 0.573576436351046050f, 0.587785252292473140f, 00295 0.601815023152048270f, 0.615661475325658180f, 0.629320391049837390f, 00296 0.642787609686539250f, 0.656059028990507160f, 0.669130606358858240f, 00297 0.681998360062498480f, 0.694658370458997250f, 00298 0.707106781186547460f, 0.719339800338651080f, 0.731353701619170460f, 00299 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0.258819045102521020f, 0.241921895599667730f, 0.224951054343864780f, 00344 0.207911690817759310f, 0.190808995376544970f, 0.173648177666930280f, 00345 0.156434465040230980f, 0.139173100960065740f, 00346 0.121869343405147550f, 0.104528463267653730f, 0.087155742747658638f, 00347 0.069756473744125524f, 0.052335956242943807f, 0.034899496702500699f, 00348 0.017452406437283439f, 0.000000000000000122f 00349 }; 00350 00351 00361 void arm_sin_cos_f32( 00362 float32_t theta, 00363 float32_t * pSinVal, 00364 float32_t * pCosVal) 00365 { 00366 uint32_t i; /* Index for reading nearwst output values */ 00367 float32_t x1 = -179.0f; /* Initial input value */ 00368 float32_t ysin0, ysin1; /* nearest output values */ 00369 float32_t ycos0, ycos1; /* nearest output values */ 00370 float32_t fract; /* fractional part of input */ 00371 float32_t ftheta = (float32_t)((int32_t)theta); 00372 00373 00374 /* index calculation for reading nearest output values */ 00375 i = (uint32_t) (theta - x1); 00376 00377 /* Calculation of fractional part */ 00378 if(theta > 0.0f) 00379 { 00380 fract = theta - ftheta; 00381 } 00382 else 00383 { 00384 fract = (theta - ftheta) + 1.0f; 00385 } 00386 00387 /* reading nearest sine output values */ 00388 ysin0 = sinTable[i]; 00389 ysin1 = sinTable[i + 1u]; 00390 00391 /* reading nearest cosine output values */ 00392 ycos0 = cosTable[i]; 00393 ycos1 = cosTable[i + 1u]; 00394 00395 /* difference of nearest sine output value */ 00396 ysin1 = ysin1 - ysin0; 00397 00398 /* difference of nearest cosine output value */ 00399 ycos1 = ycos1 - ycos0; 00400 00401 /* Calculation of sine value */ 00402 *pSinVal = ysin0 + (fract * ysin1); 00403 00404 /* Calculation of cosine value */ 00405 *pCosVal = ycos0 + (fract * ycos1); 00406 00407 } 00408
