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00030 #include "arm_math.h"
00031
00060 static const q31_t cosTableQ31[259] = {
00061 0x7ff62182, 0x7fffffff, 0x7ff62182, 0x7fd8878e, 0x7fa736b4, 0x7f62368f,
00062 0x7f0991c4, 0x7e9d55fc,
00063 0x7e1d93ea, 0x7d8a5f40, 0x7ce3ceb2, 0x7c29fbee, 0x7b5d039e, 0x7a7d055b,
00064 0x798a23b1, 0x78848414,
00065 0x776c4edb, 0x7641af3d, 0x7504d345, 0x73b5ebd1, 0x72552c85, 0x70e2cbc6,
00066 0x6f5f02b2, 0x6dca0d14,
00067 0x6c242960, 0x6a6d98a4, 0x68a69e81, 0x66cf8120, 0x64e88926, 0x62f201ac,
00068 0x60ec3830, 0x5ed77c8a,
00069 0x5cb420e0, 0x5a82799a, 0x5842dd54, 0x55f5a4d2, 0x539b2af0, 0x5133cc94,
00070 0x4ebfe8a5, 0x4c3fdff4,
00071 0x49b41533, 0x471cece7, 0x447acd50, 0x41ce1e65, 0x3f1749b8, 0x3c56ba70,
00072 0x398cdd32, 0x36ba2014,
00073 0x33def287, 0x30fbc54d, 0x2e110a62, 0x2b1f34eb, 0x2826b928, 0x25280c5e,
00074 0x2223a4c5, 0x1f19f97b,
00075 0x1c0b826a, 0x18f8b83c, 0x15e21445, 0x12c8106f, 0xfab272b, 0xc8bd35e,
00076 0x96a9049, 0x647d97c,
00077 0x3242abf, 0x0, 0xfcdbd541, 0xf9b82684, 0xf6956fb7, 0xf3742ca2, 0xf054d8d5,
00078 0xed37ef91,
00079 0xea1debbb, 0xe70747c4, 0xe3f47d96, 0xe0e60685, 0xdddc5b3b, 0xdad7f3a2,
00080 0xd7d946d8, 0xd4e0cb15,
00081 0xd1eef59e, 0xcf043ab3, 0xcc210d79, 0xc945dfec, 0xc67322ce, 0xc3a94590,
00082 0xc0e8b648, 0xbe31e19b,
00083 0xbb8532b0, 0xb8e31319, 0xb64beacd, 0xb3c0200c, 0xb140175b, 0xaecc336c,
00084 0xac64d510, 0xaa0a5b2e,
00085 0xa7bd22ac, 0xa57d8666, 0xa34bdf20, 0xa1288376, 0x9f13c7d0, 0x9d0dfe54,
00086 0x9b1776da, 0x99307ee0,
00087 0x9759617f, 0x9592675c, 0x93dbd6a0, 0x9235f2ec, 0x90a0fd4e, 0x8f1d343a,
00088 0x8daad37b, 0x8c4a142f,
00089 0x8afb2cbb, 0x89be50c3, 0x8893b125, 0x877b7bec, 0x8675dc4f, 0x8582faa5,
00090 0x84a2fc62, 0x83d60412,
00091 0x831c314e, 0x8275a0c0, 0x81e26c16, 0x8162aa04, 0x80f66e3c, 0x809dc971,
00092 0x8058c94c, 0x80277872,
00093 0x8009de7e, 0x80000000, 0x8009de7e, 0x80277872, 0x8058c94c, 0x809dc971,
00094 0x80f66e3c, 0x8162aa04,
00095 0x81e26c16, 0x8275a0c0, 0x831c314e, 0x83d60412, 0x84a2fc62, 0x8582faa5,
00096 0x8675dc4f, 0x877b7bec,
00097 0x8893b125, 0x89be50c3, 0x8afb2cbb, 0x8c4a142f, 0x8daad37b, 0x8f1d343a,
00098 0x90a0fd4e, 0x9235f2ec,
00099 0x93dbd6a0, 0x9592675c, 0x9759617f, 0x99307ee0, 0x9b1776da, 0x9d0dfe54,
00100 0x9f13c7d0, 0xa1288376,
00101 0xa34bdf20, 0xa57d8666, 0xa7bd22ac, 0xaa0a5b2e, 0xac64d510, 0xaecc336c,
00102 0xb140175b, 0xb3c0200c,
00103 0xb64beacd, 0xb8e31319, 0xbb8532b0, 0xbe31e19b, 0xc0e8b648, 0xc3a94590,
00104 0xc67322ce, 0xc945dfec,
00105 0xcc210d79, 0xcf043ab3, 0xd1eef59e, 0xd4e0cb15, 0xd7d946d8, 0xdad7f3a2,
00106 0xdddc5b3b, 0xe0e60685,
00107 0xe3f47d96, 0xe70747c4, 0xea1debbb, 0xed37ef91, 0xf054d8d5, 0xf3742ca2,
00108 0xf6956fb7, 0xf9b82684,
00109 0xfcdbd541, 0x0, 0x3242abf, 0x647d97c, 0x96a9049, 0xc8bd35e, 0xfab272b,
00110 0x12c8106f,
00111 0x15e21445, 0x18f8b83c, 0x1c0b826a, 0x1f19f97b, 0x2223a4c5, 0x25280c5e,
00112 0x2826b928, 0x2b1f34eb,
00113 0x2e110a62, 0x30fbc54d, 0x33def287, 0x36ba2014, 0x398cdd32, 0x3c56ba70,
00114 0x3f1749b8, 0x41ce1e65,
00115 0x447acd50, 0x471cece7, 0x49b41533, 0x4c3fdff4, 0x4ebfe8a5, 0x5133cc94,
00116 0x539b2af0, 0x55f5a4d2,
00117 0x5842dd54, 0x5a82799a, 0x5cb420e0, 0x5ed77c8a, 0x60ec3830, 0x62f201ac,
00118 0x64e88926, 0x66cf8120,
00119 0x68a69e81, 0x6a6d98a4, 0x6c242960, 0x6dca0d14, 0x6f5f02b2, 0x70e2cbc6,
00120 0x72552c85, 0x73b5ebd1,
00121 0x7504d345, 0x7641af3d, 0x776c4edb, 0x78848414, 0x798a23b1, 0x7a7d055b,
00122 0x7b5d039e, 0x7c29fbee,
00123 0x7ce3ceb2, 0x7d8a5f40, 0x7e1d93ea, 0x7e9d55fc, 0x7f0991c4, 0x7f62368f,
00124 0x7fa736b4, 0x7fd8878e,
00125 0x7ff62182, 0x7fffffff, 0x7ff62182
00126 };
00127
00136 q31_t arm_cos_q31(
00137 q31_t x)
00138 {
00139 q31_t cosVal, in, in2;
00140 q31_t wa, wb, wc, wd;
00141 q31_t a, b, c, d;
00142 q31_t *tablePtr;
00143 q31_t fract, fractCube, fractSquare;
00144 q31_t oneBy6 = 0x15555555;
00145 q31_t tableSpacing = TABLE_SPACING_Q31;
00146 q31_t temp;
00147 uint32_t index;
00148
00149 in = x;
00150
00151
00152 index = in / tableSpacing;
00153
00154
00155 in2 = ((q31_t) index) * tableSpacing;
00156
00157
00158 fract = (in - in2) << 8;
00159
00160
00161 fractSquare = ((q31_t) (((q63_t) fract * fract) >> 32));
00162 fractSquare = fractSquare << 1;
00163
00164
00165 fractCube = ((q31_t) (((q63_t) fractSquare * fract) >> 32));
00166 fractCube = fractCube << 1;
00167
00168
00169 tablePtr = (q31_t *) & cosTableQ31[index];
00170
00171
00172
00173
00174 wa = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
00175 temp = 0x2AAAAAAA;
00176 wa = (q31_t) ((((q63_t) wa << 32) + ((q63_t) temp * fract)) >> 32);
00177 wa = -(wa << 1u);
00178 wa += (fractSquare >> 1u);
00179
00180
00181 a = *tablePtr++;
00182
00183
00184 cosVal = ((q31_t) (((q63_t) a * wa) >> 32));
00185
00186
00187 temp = 0x7FFFFFFF;
00188
00189
00190 wb = ((fractCube >> 1u) - (fractSquare + (fract >> 1u))) + temp;
00191
00192 b = *tablePtr++;
00193
00194
00195 cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) b * (wb))) >> 32);
00196
00197
00198 wc = -fractCube + fractSquare;
00199 wc = (wc >> 1u) + fract;
00200
00201 c = *tablePtr++;
00202
00203
00204 cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) c * (wc))) >> 32);
00205
00206
00207
00208 fractCube = fractCube - fract;
00209 wd = ((q31_t) (((q63_t) oneBy6 * fractCube) >> 32));
00210 wd = (wd << 1u);
00211
00212
00213 d = *tablePtr++;
00214
00215
00216 cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) d * (wd))) >> 32);
00217
00218
00219 return (cosVal << 1u);
00220
00221 }
00222