Michele Riccio
mbed-os 6.10 versione
Diff: cmsis_dsp/FastMathFunctions/arm_sin_q31.c
- Revision:
- 1:fdd22bb7aa52
- Child:
- 2:da51fb522205
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/cmsis_dsp/FastMathFunctions/arm_sin_q31.c Wed Nov 28 12:30:09 2012 +0000
@@ -0,0 +1,240 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010 ARM Limited. All rights reserved.
+*
+* $Date: 15. February 2012
+* $Revision: V1.1.0
+*
+* Project: CMSIS DSP Library
+* Title: arm_sin_q31.c
+*
+* Description: Fast sine calculation for Q31 values.
+*
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*
+* Version 1.1.0 2012/02/15
+* Updated with more optimizations, bug fixes and minor API changes.
+*
+* Version 1.0.10 2011/7/15
+* Big Endian support added and Merged M0 and M3/M4 Source code.
+*
+* Version 1.0.3 2010/11/29
+* Re-organized the CMSIS folders and updated documentation.
+*
+* Version 1.0.2 2010/11/11
+* Documentation updated.
+*
+* Version 1.0.1 2010/10/05
+* Production release and review comments incorporated.
+*
+* Version 1.0.0 2010/09/20
+* Production release and review comments incorporated.
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupFastMath
+ */
+
+ /**
+ * @addtogroup sin
+ * @{
+ */
+
+/**
+ * \par
+ * Tables generated are in Q31(1.31 Fixed point format)
+ * Generation of sin values in floating point:
+ * <pre>tableSize = 256;
+ * for(n = -1; n < (tableSize + 1); n++)
+ * {
+ * sinTable[n+1]= sin(2*pi*n/tableSize);
+ * } </pre>
+ * where pi value is 3.14159265358979
+ * \par
+ * Convert Floating point to Q31(Fixed point):
+ * (sinTable[i] * pow(2, 31))
+ * \par
+ * rounding to nearest integer is done
+ * sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);
+ */
+
+static const q31_t sinTableQ31[259] = {
+ 0xfcdbd541, 0x0, 0x3242abf, 0x647d97c, 0x96a9049, 0xc8bd35e, 0xfab272b,
+ 0x12c8106f,
+ 0x15e21445, 0x18f8b83c, 0x1c0b826a, 0x1f19f97b, 0x2223a4c5, 0x25280c5e,
+ 0x2826b928, 0x2b1f34eb,
+ 0x2e110a62, 0x30fbc54d, 0x33def287, 0x36ba2014, 0x398cdd32, 0x3c56ba70,
+ 0x3f1749b8, 0x41ce1e65,
+ 0x447acd50, 0x471cece7, 0x49b41533, 0x4c3fdff4, 0x4ebfe8a5, 0x5133cc94,
+ 0x539b2af0, 0x55f5a4d2,
+ 0x5842dd54, 0x5a82799a, 0x5cb420e0, 0x5ed77c8a, 0x60ec3830, 0x62f201ac,
+ 0x64e88926, 0x66cf8120,
+ 0x68a69e81, 0x6a6d98a4, 0x6c242960, 0x6dca0d14, 0x6f5f02b2, 0x70e2cbc6,
+ 0x72552c85, 0x73b5ebd1,
+ 0x7504d345, 0x7641af3d, 0x776c4edb, 0x78848414, 0x798a23b1, 0x7a7d055b,
+ 0x7b5d039e, 0x7c29fbee,
+ 0x7ce3ceb2, 0x7d8a5f40, 0x7e1d93ea, 0x7e9d55fc, 0x7f0991c4, 0x7f62368f,
+ 0x7fa736b4, 0x7fd8878e,
+ 0x7ff62182, 0x7fffffff, 0x7ff62182, 0x7fd8878e, 0x7fa736b4, 0x7f62368f,
+ 0x7f0991c4, 0x7e9d55fc,
+ 0x7e1d93ea, 0x7d8a5f40, 0x7ce3ceb2, 0x7c29fbee, 0x7b5d039e, 0x7a7d055b,
+ 0x798a23b1, 0x78848414,
+ 0x776c4edb, 0x7641af3d, 0x7504d345, 0x73b5ebd1, 0x72552c85, 0x70e2cbc6,
+ 0x6f5f02b2, 0x6dca0d14,
+ 0x6c242960, 0x6a6d98a4, 0x68a69e81, 0x66cf8120, 0x64e88926, 0x62f201ac,
+ 0x60ec3830, 0x5ed77c8a,
+ 0x5cb420e0, 0x5a82799a, 0x5842dd54, 0x55f5a4d2, 0x539b2af0, 0x5133cc94,
+ 0x4ebfe8a5, 0x4c3fdff4,
+ 0x49b41533, 0x471cece7, 0x447acd50, 0x41ce1e65, 0x3f1749b8, 0x3c56ba70,
+ 0x398cdd32, 0x36ba2014,
+ 0x33def287, 0x30fbc54d, 0x2e110a62, 0x2b1f34eb, 0x2826b928, 0x25280c5e,
+ 0x2223a4c5, 0x1f19f97b,
+ 0x1c0b826a, 0x18f8b83c, 0x15e21445, 0x12c8106f, 0xfab272b, 0xc8bd35e,
+ 0x96a9049, 0x647d97c,
+ 0x3242abf, 0x0, 0xfcdbd541, 0xf9b82684, 0xf6956fb7, 0xf3742ca2, 0xf054d8d5,
+ 0xed37ef91,
+ 0xea1debbb, 0xe70747c4, 0xe3f47d96, 0xe0e60685, 0xdddc5b3b, 0xdad7f3a2,
+ 0xd7d946d8, 0xd4e0cb15,
+ 0xd1eef59e, 0xcf043ab3, 0xcc210d79, 0xc945dfec, 0xc67322ce, 0xc3a94590,
+ 0xc0e8b648, 0xbe31e19b,
+ 0xbb8532b0, 0xb8e31319, 0xb64beacd, 0xb3c0200c, 0xb140175b, 0xaecc336c,
+ 0xac64d510, 0xaa0a5b2e,
+ 0xa7bd22ac, 0xa57d8666, 0xa34bdf20, 0xa1288376, 0x9f13c7d0, 0x9d0dfe54,
+ 0x9b1776da, 0x99307ee0,
+ 0x9759617f, 0x9592675c, 0x93dbd6a0, 0x9235f2ec, 0x90a0fd4e, 0x8f1d343a,
+ 0x8daad37b, 0x8c4a142f,
+ 0x8afb2cbb, 0x89be50c3, 0x8893b125, 0x877b7bec, 0x8675dc4f, 0x8582faa5,
+ 0x84a2fc62, 0x83d60412,
+ 0x831c314e, 0x8275a0c0, 0x81e26c16, 0x8162aa04, 0x80f66e3c, 0x809dc971,
+ 0x8058c94c, 0x80277872,
+ 0x8009de7e, 0x80000000, 0x8009de7e, 0x80277872, 0x8058c94c, 0x809dc971,
+ 0x80f66e3c, 0x8162aa04,
+ 0x81e26c16, 0x8275a0c0, 0x831c314e, 0x83d60412, 0x84a2fc62, 0x8582faa5,
+ 0x8675dc4f, 0x877b7bec,
+ 0x8893b125, 0x89be50c3, 0x8afb2cbb, 0x8c4a142f, 0x8daad37b, 0x8f1d343a,
+ 0x90a0fd4e, 0x9235f2ec,
+ 0x93dbd6a0, 0x9592675c, 0x9759617f, 0x99307ee0, 0x9b1776da, 0x9d0dfe54,
+ 0x9f13c7d0, 0xa1288376,
+ 0xa34bdf20, 0xa57d8666, 0xa7bd22ac, 0xaa0a5b2e, 0xac64d510, 0xaecc336c,
+ 0xb140175b, 0xb3c0200c,
+ 0xb64beacd, 0xb8e31319, 0xbb8532b0, 0xbe31e19b, 0xc0e8b648, 0xc3a94590,
+ 0xc67322ce, 0xc945dfec,
+ 0xcc210d79, 0xcf043ab3, 0xd1eef59e, 0xd4e0cb15, 0xd7d946d8, 0xdad7f3a2,
+ 0xdddc5b3b, 0xe0e60685,
+ 0xe3f47d96, 0xe70747c4, 0xea1debbb, 0xed37ef91, 0xf054d8d5, 0xf3742ca2,
+ 0xf6956fb7, 0xf9b82684,
+ 0xfcdbd541, 0x0, 0x3242abf
+};
+
+
+/**
+ * @brief Fast approximation to the trigonometric sine function for Q31 data.
+ * @param[in] x Scaled input value in radians.
+ * @return sin(x).
+ *
+ * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi), Here range excludes 2*pi.
+ */
+
+q31_t arm_sin_q31(
+ q31_t x)
+{
+ q31_t sinVal, in, in2; /* Temporary variables for input, output */
+ int32_t index; /* Index variables */
+ q31_t wa, wb, wc, wd; /* Cubic interpolation coefficients */
+ q31_t a, b, c, d; /* Four nearest output values */
+ q31_t *tablePtr; /* Pointer to table */
+ q31_t fract, fractCube, fractSquare; /* Temporary values for fractional values */
+ q31_t oneBy6 = 0x15555555; /* Fixed point value of 1/6 */
+ q31_t tableSpacing = TABLE_SPACING_Q31; /* Table spacing */
+ q31_t temp; /* Temporary variable for intermediate process */
+
+ in = x;
+
+ /* Calculate the nearest index */
+ index = (uint32_t) in / (uint32_t) tableSpacing;
+
+ /* Calculate the nearest value of input */
+ in2 = (q31_t) index *tableSpacing;
+
+ /* Calculation of fractional value */
+ fract = (in - in2) << 8;
+
+ /* fractSquare = fract * fract */
+ fractSquare = ((q31_t) (((q63_t) fract * fract) >> 32));
+ fractSquare = fractSquare << 1;
+
+ /* fractCube = fract * fract * fract */
+ fractCube = ((q31_t) (((q63_t) fractSquare * fract) >> 32));
+ fractCube = fractCube << 1;
+
+ /* Checking min and max index of table */
+ if(index < 0)
+ {
+ index = 0;
+ }
+ else if(index > 256)
+ {
+ index = 256;
+ }
+
+ /* Initialise table pointer */
+ tablePtr = (q31_t *) & sinTableQ31[index];
+
+ /* Cubic interpolation process */
+ /* Calculation of wa */
+ /* wa = -(oneBy6)*fractCube + (fractSquare >> 1u) - (0x2AAAAAAA)*fract; */
+ wa = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
+ temp = 0x2AAAAAAA;
+ wa = (q31_t) ((((q63_t) wa << 32) + ((q63_t) temp * fract)) >> 32);
+ wa = -(wa << 1u);
+ wa += (fractSquare >> 1u);
+
+ /* Read first nearest value of output from the sin table */
+ a = *tablePtr++;
+
+ /* sinVal = a*wa */
+ sinVal = ((q31_t) (((q63_t) a * wa) >> 32));
+
+ /* q31(1.31) Fixed point value of 1 */
+ temp = 0x7FFFFFFF;
+
+ /* Calculation of wb */
+ wb = ((fractCube >> 1u) - (fractSquare + (fract >> 1u))) + temp;
+
+ /* Read second nearest value of output from the sin table */
+ b = *tablePtr++;
+
+ /* sinVal += b*wb */
+ sinVal = (q31_t) ((((q63_t) sinVal << 32) + (q63_t) b * (wb)) >> 32);
+
+ /* Calculation of wc */
+ wc = -fractCube + fractSquare;
+ wc = (wc >> 1u) + fract;
+
+ /* Read third nearest value of output from the sin table */
+ c = *tablePtr++;
+
+ /* sinVal += c*wc */
+ sinVal = (q31_t) ((((q63_t) sinVal << 32) + ((q63_t) c * wc)) >> 32);
+
+ /* Calculation of wd */
+ /* wd = (oneBy6) * fractCube - (oneBy6) * fract; */
+ fractCube = fractCube - fract;
+ wd = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
+ wd = (wd << 1u);
+
+ /* Read fourth nearest value of output from the sin table */
+ d = *tablePtr++;
+
+ /* sinVal += d*wd; */
+ sinVal = (q31_t) ((((q63_t) sinVal << 32) + ((q63_t) d * wd)) >> 32);
+
+ /* convert sinVal in 2.30 format to 1.31 format */
+ return (__QADD(sinVal, sinVal));
+
+}
+
+/**
+ * @} end of sin group
+ */