+++ /dev/null
-/* ----------------------------------------------------------------------
-* Copyright (C) 2010-2013 ARM Limited. All rights reserved.
-*
-* $Date: 17. January 2013
-* $Revision: V1.4.1
-*
-* Project: CMSIS DSP Library
-* Title: arm_sin_f32.c
-*
-* Description: Fast sine calculation for floating-point values.
-*
-* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
-*
-* 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.
-* -------------------------------------------------------------------- */
-
-#include "arm_math.h"
-
-/**
- * @ingroup groupFastMath
- */
-
-/**
- * @defgroup sin Sine
- *
- * Computes the trigonometric sine function using a combination of table lookup
- * and cubic interpolation. There are separate functions for
- * Q15, Q31, and floating-point data types.
- * The input to the floating-point version is in radians while the
- * fixed-point Q15 and Q31 have a scaled input with the range
- * [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a
- * value of 2*pi wraps around to 0.
- *
- * The implementation is based on table lookup using 256 values together with cubic interpolation.
- * The steps used are:
- * -# Calculation of the nearest integer table index
- * -# Fetch the four table values a, b, c, and d
- * -# Compute the fractional portion (fract) of the table index.
- * -# Calculation of wa, wb, wc, wd
- * -# The final result equals <code>a*wa + b*wb + c*wc + d*wd</code>
- *
- * where
- * <pre>
- * a=Table[index-1];
- * b=Table[index+0];
- * c=Table[index+1];
- * d=Table[index+2];
- * </pre>
- * and
- * <pre>
- * wa=-(1/6)*fract.^3 + (1/2)*fract.^2 - (1/3)*fract;
- * wb=(1/2)*fract.^3 - fract.^2 - (1/2)*fract + 1;
- * wc=-(1/2)*fract.^3+(1/2)*fract.^2+fract;
- * wd=(1/6)*fract.^3 - (1/6)*fract;
- * </pre>
- */
-
-/**
- * @addtogroup sin
- * @{
- */
-
-
-/**
- * \par
- * Example code for the generation of the floating-point sine table:
- * <pre>
- * tableSize = 256;
- * for(n = -1; n < (tableSize + 1); n++)
- * {
- * sinTable[n+1]=sin(2*pi*n/tableSize);
- * }</pre>
- * \par
- * where pi value is 3.14159265358979
- */
-
-static const float32_t sinTable[259] = {
- -0.024541229009628296f, 0.000000000000000000f, 0.024541229009628296f,
- 0.049067676067352295f, 0.073564566671848297f, 0.098017141222953796f,
- 0.122410677373409270f, 0.146730467677116390f,
- 0.170961886644363400f, 0.195090323686599730f, 0.219101235270500180f,
- 0.242980182170867920f, 0.266712754964828490f, 0.290284663438797000f,
- 0.313681751489639280f, 0.336889863014221190f,
- 0.359895050525665280f, 0.382683426141738890f, 0.405241310596466060f,
- 0.427555084228515630f, 0.449611335992813110f, 0.471396744251251220f,
- 0.492898195981979370f, 0.514102756977081300f,
- 0.534997642040252690f, 0.555570244789123540f, 0.575808167457580570f,
- 0.595699310302734380f, 0.615231573581695560f, 0.634393274784088130f,
- 0.653172850608825680f, 0.671558976173400880f,
- 0.689540565013885500f, 0.707106769084930420f, 0.724247097969055180f,
- 0.740951120853424070f, 0.757208824157714840f, 0.773010432720184330f,
- 0.788346409797668460f, 0.803207516670227050f,
- 0.817584812641143800f, 0.831469595432281490f, 0.844853579998016360f,
- 0.857728600502014160f, 0.870086967945098880f, 0.881921291351318360f,
- 0.893224298954010010f, 0.903989315032958980f,
- 0.914209783077239990f, 0.923879504203796390f, 0.932992815971374510f,
- 0.941544055938720700f, 0.949528157711029050f, 0.956940352916717530f,
- 0.963776051998138430f, 0.970031261444091800f,
- 0.975702106952667240f, 0.980785250663757320f, 0.985277652740478520f,
- 0.989176511764526370f, 0.992479562759399410f, 0.995184719562530520f,
- 0.997290432453155520f, 0.998795449733734130f,
- 0.999698817729949950f, 1.000000000000000000f, 0.999698817729949950f,
- 0.998795449733734130f, 0.997290432453155520f, 0.995184719562530520f,
- 0.992479562759399410f, 0.989176511764526370f,
- 0.985277652740478520f, 0.980785250663757320f, 0.975702106952667240f,
- 0.970031261444091800f, 0.963776051998138430f, 0.956940352916717530f,
- 0.949528157711029050f, 0.941544055938720700f,
- 0.932992815971374510f, 0.923879504203796390f, 0.914209783077239990f,
- 0.903989315032958980f, 0.893224298954010010f, 0.881921291351318360f,
- 0.870086967945098880f, 0.857728600502014160f,
- 0.844853579998016360f, 0.831469595432281490f, 0.817584812641143800f,
- 0.803207516670227050f, 0.788346409797668460f, 0.773010432720184330f,
- 0.757208824157714840f, 0.740951120853424070f,
- 0.724247097969055180f, 0.707106769084930420f, 0.689540565013885500f,
- 0.671558976173400880f, 0.653172850608825680f, 0.634393274784088130f,
- 0.615231573581695560f, 0.595699310302734380f,
- 0.575808167457580570f, 0.555570244789123540f, 0.534997642040252690f,
- 0.514102756977081300f, 0.492898195981979370f, 0.471396744251251220f,
- 0.449611335992813110f, 0.427555084228515630f,
- 0.405241310596466060f, 0.382683426141738890f, 0.359895050525665280f,
- 0.336889863014221190f, 0.313681751489639280f, 0.290284663438797000f,
- 0.266712754964828490f, 0.242980182170867920f,
- 0.219101235270500180f, 0.195090323686599730f, 0.170961886644363400f,
- 0.146730467677116390f, 0.122410677373409270f, 0.098017141222953796f,
- 0.073564566671848297f, 0.049067676067352295f,
- 0.024541229009628296f, 0.000000000000000122f, -0.024541229009628296f,
- -0.049067676067352295f, -0.073564566671848297f, -0.098017141222953796f,
- -0.122410677373409270f, -0.146730467677116390f,
- -0.170961886644363400f, -0.195090323686599730f, -0.219101235270500180f,
- -0.242980182170867920f, -0.266712754964828490f, -0.290284663438797000f,
- -0.313681751489639280f, -0.336889863014221190f,
- -0.359895050525665280f, -0.382683426141738890f, -0.405241310596466060f,
- -0.427555084228515630f, -0.449611335992813110f, -0.471396744251251220f,
- -0.492898195981979370f, -0.514102756977081300f,
- -0.534997642040252690f, -0.555570244789123540f, -0.575808167457580570f,
- -0.595699310302734380f, -0.615231573581695560f, -0.634393274784088130f,
- -0.653172850608825680f, -0.671558976173400880f,
- -0.689540565013885500f, -0.707106769084930420f, -0.724247097969055180f,
- -0.740951120853424070f, -0.757208824157714840f, -0.773010432720184330f,
- -0.788346409797668460f, -0.803207516670227050f,
- -0.817584812641143800f, -0.831469595432281490f, -0.844853579998016360f,
- -0.857728600502014160f, -0.870086967945098880f, -0.881921291351318360f,
- -0.893224298954010010f, -0.903989315032958980f,
- -0.914209783077239990f, -0.923879504203796390f, -0.932992815971374510f,
- -0.941544055938720700f, -0.949528157711029050f, -0.956940352916717530f,
- -0.963776051998138430f, -0.970031261444091800f,
- -0.975702106952667240f, -0.980785250663757320f, -0.985277652740478520f,
- -0.989176511764526370f, -0.992479562759399410f, -0.995184719562530520f,
- -0.997290432453155520f, -0.998795449733734130f,
- -0.999698817729949950f, -1.000000000000000000f, -0.999698817729949950f,
- -0.998795449733734130f, -0.997290432453155520f, -0.995184719562530520f,
- -0.992479562759399410f, -0.989176511764526370f,
- -0.985277652740478520f, -0.980785250663757320f, -0.975702106952667240f,
- -0.970031261444091800f, -0.963776051998138430f, -0.956940352916717530f,
- -0.949528157711029050f, -0.941544055938720700f,
- -0.932992815971374510f, -0.923879504203796390f, -0.914209783077239990f,
- -0.903989315032958980f, -0.893224298954010010f, -0.881921291351318360f,
- -0.870086967945098880f, -0.857728600502014160f,
- -0.844853579998016360f, -0.831469595432281490f, -0.817584812641143800f,
- -0.803207516670227050f, -0.788346409797668460f, -0.773010432720184330f,
- -0.757208824157714840f, -0.740951120853424070f,
- -0.724247097969055180f, -0.707106769084930420f, -0.689540565013885500f,
- -0.671558976173400880f, -0.653172850608825680f, -0.634393274784088130f,
- -0.615231573581695560f, -0.595699310302734380f,
- -0.575808167457580570f, -0.555570244789123540f, -0.534997642040252690f,
- -0.514102756977081300f, -0.492898195981979370f, -0.471396744251251220f,
- -0.449611335992813110f, -0.427555084228515630f,
- -0.405241310596466060f, -0.382683426141738890f, -0.359895050525665280f,
- -0.336889863014221190f, -0.313681751489639280f, -0.290284663438797000f,
- -0.266712754964828490f, -0.242980182170867920f,
- -0.219101235270500180f, -0.195090323686599730f, -0.170961886644363400f,
- -0.146730467677116390f, -0.122410677373409270f, -0.098017141222953796f,
- -0.073564566671848297f, -0.049067676067352295f,
- -0.024541229009628296f, -0.000000000000000245f, 0.024541229009628296f
-};
-
-
-/**
- * @brief Fast approximation to the trigonometric sine function for floating-point data.
- * @param[in] x input value in radians.
- * @return sin(x).
- */
-
-float32_t arm_sin_f32(
- float32_t x)
-{
- float32_t sinVal, fract, in; /* Temporary variables for input, output */
- int32_t index; /* Index variable */
- uint32_t tableSize = (uint32_t) TABLE_SIZE; /* Initialise tablesize */
- float32_t wa, wb, wc, wd; /* Cubic interpolation coefficients */
- float32_t a, b, c, d; /* Four nearest output values */
- float32_t *tablePtr; /* Pointer to table */
- int32_t n;
- float32_t fractsq, fractby2, fractby6, fractby3, fractsqby2;
- float32_t oneminusfractby2;
- float32_t frby2xfrsq, frby6xfrsq;
-
- /* input x is in radians */
- /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */
- in = x * 0.159154943092f;
-
- /* Calculation of floor value of input */
- n = (int32_t) in;
-
- /* Make negative values towards -infinity */
- if(x < 0.0f)
- {
- n = n - 1;
- }
-
- /* Map input value to [0 1] */
- in = in - (float32_t) n;
-
- /* Calculation of index of the table */
- index = (uint32_t) (tableSize * in);
-
- /* fractional value calculation */
- fract = ((float32_t) tableSize * in) - (float32_t) index;
-
- /* Checking min and max index of table */
- if(index < 0)
- {
- index = 0;
- }
- else if(index > 256)
- {
- index = 256;
- }
-
- /* Initialise table pointer */
- tablePtr = (float32_t *) & sinTable[index];
-
- /* Read four nearest values of input value from the sin table */
- a = tablePtr[0];
- b = tablePtr[1];
- c = tablePtr[2];
- d = tablePtr[3];
-
- /* Cubic interpolation process */
- fractsq = fract * fract;
- fractby2 = fract * 0.5f;
- fractby6 = fract * 0.166666667f;
- fractby3 = fract * 0.3333333333333f;
- fractsqby2 = fractsq * 0.5f;
- frby2xfrsq = (fractby2) * fractsq;
- frby6xfrsq = (fractby6) * fractsq;
- oneminusfractby2 = 1.0f - fractby2;
- wb = fractsqby2 - fractby3;
- wc = (fractsqby2 + fract);
- wa = wb - frby6xfrsq;
- wb = frby2xfrsq - fractsq;
- sinVal = wa * a;
- wc = wc - frby2xfrsq;
- wd = (frby6xfrsq) - fractby6;
- wb = wb + oneminusfractby2;
-
- /* Calculate sin value */
- sinVal = (sinVal + (b * wb)) + ((c * wc) + (d * wd));
-
- /* Return the output value */
- return (sinVal);
-
-}
-
-/**
- * @} end of sin group
- */
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