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00027 #include "arm_math.h"
00028
00057 static const q31_t cosTableQ31[259] = {
00058 0x7ff62182, 0x7fffffff, 0x7ff62182, 0x7fd8878e, 0x7fa736b4, 0x7f62368f,
00059 0x7f0991c4, 0x7e9d55fc,
00060 0x7e1d93ea, 0x7d8a5f40, 0x7ce3ceb2, 0x7c29fbee, 0x7b5d039e, 0x7a7d055b,
00061 0x798a23b1, 0x78848414,
00062 0x776c4edb, 0x7641af3d, 0x7504d345, 0x73b5ebd1, 0x72552c85, 0x70e2cbc6,
00063 0x6f5f02b2, 0x6dca0d14,
00064 0x6c242960, 0x6a6d98a4, 0x68a69e81, 0x66cf8120, 0x64e88926, 0x62f201ac,
00065 0x60ec3830, 0x5ed77c8a,
00066 0x5cb420e0, 0x5a82799a, 0x5842dd54, 0x55f5a4d2, 0x539b2af0, 0x5133cc94,
00067 0x4ebfe8a5, 0x4c3fdff4,
00068 0x49b41533, 0x471cece7, 0x447acd50, 0x41ce1e65, 0x3f1749b8, 0x3c56ba70,
00069 0x398cdd32, 0x36ba2014,
00070 0x33def287, 0x30fbc54d, 0x2e110a62, 0x2b1f34eb, 0x2826b928, 0x25280c5e,
00071 0x2223a4c5, 0x1f19f97b,
00072 0x1c0b826a, 0x18f8b83c, 0x15e21445, 0x12c8106f, 0xfab272b, 0xc8bd35e,
00073 0x96a9049, 0x647d97c,
00074 0x3242abf, 0x0, 0xfcdbd541, 0xf9b82684, 0xf6956fb7, 0xf3742ca2, 0xf054d8d5,
00075 0xed37ef91,
00076 0xea1debbb, 0xe70747c4, 0xe3f47d96, 0xe0e60685, 0xdddc5b3b, 0xdad7f3a2,
00077 0xd7d946d8, 0xd4e0cb15,
00078 0xd1eef59e, 0xcf043ab3, 0xcc210d79, 0xc945dfec, 0xc67322ce, 0xc3a94590,
00079 0xc0e8b648, 0xbe31e19b,
00080 0xbb8532b0, 0xb8e31319, 0xb64beacd, 0xb3c0200c, 0xb140175b, 0xaecc336c,
00081 0xac64d510, 0xaa0a5b2e,
00082 0xa7bd22ac, 0xa57d8666, 0xa34bdf20, 0xa1288376, 0x9f13c7d0, 0x9d0dfe54,
00083 0x9b1776da, 0x99307ee0,
00084 0x9759617f, 0x9592675c, 0x93dbd6a0, 0x9235f2ec, 0x90a0fd4e, 0x8f1d343a,
00085 0x8daad37b, 0x8c4a142f,
00086 0x8afb2cbb, 0x89be50c3, 0x8893b125, 0x877b7bec, 0x8675dc4f, 0x8582faa5,
00087 0x84a2fc62, 0x83d60412,
00088 0x831c314e, 0x8275a0c0, 0x81e26c16, 0x8162aa04, 0x80f66e3c, 0x809dc971,
00089 0x8058c94c, 0x80277872,
00090 0x8009de7e, 0x80000000, 0x8009de7e, 0x80277872, 0x8058c94c, 0x809dc971,
00091 0x80f66e3c, 0x8162aa04,
00092 0x81e26c16, 0x8275a0c0, 0x831c314e, 0x83d60412, 0x84a2fc62, 0x8582faa5,
00093 0x8675dc4f, 0x877b7bec,
00094 0x8893b125, 0x89be50c3, 0x8afb2cbb, 0x8c4a142f, 0x8daad37b, 0x8f1d343a,
00095 0x90a0fd4e, 0x9235f2ec,
00096 0x93dbd6a0, 0x9592675c, 0x9759617f, 0x99307ee0, 0x9b1776da, 0x9d0dfe54,
00097 0x9f13c7d0, 0xa1288376,
00098 0xa34bdf20, 0xa57d8666, 0xa7bd22ac, 0xaa0a5b2e, 0xac64d510, 0xaecc336c,
00099 0xb140175b, 0xb3c0200c,
00100 0xb64beacd, 0xb8e31319, 0xbb8532b0, 0xbe31e19b, 0xc0e8b648, 0xc3a94590,
00101 0xc67322ce, 0xc945dfec,
00102 0xcc210d79, 0xcf043ab3, 0xd1eef59e, 0xd4e0cb15, 0xd7d946d8, 0xdad7f3a2,
00103 0xdddc5b3b, 0xe0e60685,
00104 0xe3f47d96, 0xe70747c4, 0xea1debbb, 0xed37ef91, 0xf054d8d5, 0xf3742ca2,
00105 0xf6956fb7, 0xf9b82684,
00106 0xfcdbd541, 0x0, 0x3242abf, 0x647d97c, 0x96a9049, 0xc8bd35e, 0xfab272b,
00107 0x12c8106f,
00108 0x15e21445, 0x18f8b83c, 0x1c0b826a, 0x1f19f97b, 0x2223a4c5, 0x25280c5e,
00109 0x2826b928, 0x2b1f34eb,
00110 0x2e110a62, 0x30fbc54d, 0x33def287, 0x36ba2014, 0x398cdd32, 0x3c56ba70,
00111 0x3f1749b8, 0x41ce1e65,
00112 0x447acd50, 0x471cece7, 0x49b41533, 0x4c3fdff4, 0x4ebfe8a5, 0x5133cc94,
00113 0x539b2af0, 0x55f5a4d2,
00114 0x5842dd54, 0x5a82799a, 0x5cb420e0, 0x5ed77c8a, 0x60ec3830, 0x62f201ac,
00115 0x64e88926, 0x66cf8120,
00116 0x68a69e81, 0x6a6d98a4, 0x6c242960, 0x6dca0d14, 0x6f5f02b2, 0x70e2cbc6,
00117 0x72552c85, 0x73b5ebd1,
00118 0x7504d345, 0x7641af3d, 0x776c4edb, 0x78848414, 0x798a23b1, 0x7a7d055b,
00119 0x7b5d039e, 0x7c29fbee,
00120 0x7ce3ceb2, 0x7d8a5f40, 0x7e1d93ea, 0x7e9d55fc, 0x7f0991c4, 0x7f62368f,
00121 0x7fa736b4, 0x7fd8878e,
00122 0x7ff62182, 0x7fffffff, 0x7ff62182
00123 };
00124
00133 q31_t arm_cos_q31(
00134 q31_t x)
00135 {
00136 q31_t cosVal, fract, in, in2;
00137 q31_t wa, wb, wc, wd;
00138 q31_t a, b, c, d;
00139 q31_t *tablePtr;
00140 q31_t fractCube, fractSquare;
00141 q31_t oneBy6 = 0x15555555;
00142 q31_t tableSpacing = TABLE_SPACING_Q31;
00143 q31_t temp;
00144 uint32_t index;
00145
00146 in = x;
00147
00148
00149 index = in / tableSpacing;
00150
00151
00152 in2 = ((q31_t) index) * tableSpacing;
00153
00154
00155 fract = (in - in2) << 8;
00156
00157
00158 fractSquare = ((q31_t) (((q63_t) fract * fract) >> 32));
00159 fractSquare = fractSquare << 1;
00160
00161
00162 fractCube = ((q31_t) (((q63_t) fractSquare * fract) >> 32));
00163 fractCube = fractCube << 1;
00164
00165
00166 tablePtr = (q31_t *) & cosTableQ31[index];
00167
00168
00169
00170
00171 wa = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
00172 temp = 0x2AAAAAAA;
00173 wa = (q31_t) ((((q63_t) wa << 32) + ((q63_t) temp * fract)) >> 32);
00174 wa = -(wa << 1u);
00175 wa += (fractSquare >> 1u);
00176
00177
00178 a = *tablePtr++;
00179
00180
00181 cosVal = ((q31_t) (((q63_t) a * wa) >> 32));
00182
00183
00184 temp = 0x7FFFFFFF;
00185
00186
00187 wb = ((fractCube >> 1u) - (fractSquare + (fract >> 1u))) + temp;
00188
00189 b = *tablePtr++;
00190
00191
00192 cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) b * (wb))) >> 32);
00193
00194
00195 wc = -fractCube + fractSquare;
00196 wc = (wc >> 1u) + fract;
00197
00198 c = *tablePtr++;
00199
00200
00201 cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) c * (wc))) >> 32);
00202
00203
00204
00205 fractCube = fractCube - fract;
00206 wd = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
00207 wd = (wd << 1u);
00208
00209
00210 d = *tablePtr++;
00211
00212
00213 cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) d * (wd))) >> 32);
00214
00215
00216 return (cosVal << 1u);
00217
00218 }
00219