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annotate src/fftw-3.3.8/dft/scalar/codelets/t2_16.c @ 84:08ae793730bd

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Add null config files
author Chris Cannam
date Mon, 02 Mar 2020 14:03:47 +0000
parents d0c2a83c1364
children
rev   line source
Chris@82 1 /*
Chris@82 2 * Copyright (c) 2003, 2007-14 Matteo Frigo
Chris@82 3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
Chris@82 4 *
Chris@82 5 * This program is free software; you can redistribute it and/or modify
Chris@82 6 * it under the terms of the GNU General Public License as published by
Chris@82 7 * the Free Software Foundation; either version 2 of the License, or
Chris@82 8 * (at your option) any later version.
Chris@82 9 *
Chris@82 10 * This program is distributed in the hope that it will be useful,
Chris@82 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
Chris@82 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
Chris@82 13 * GNU General Public License for more details.
Chris@82 14 *
Chris@82 15 * You should have received a copy of the GNU General Public License
Chris@82 16 * along with this program; if not, write to the Free Software
Chris@82 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
Chris@82 18 *
Chris@82 19 */
Chris@82 20
Chris@82 21 /* This file was automatically generated --- DO NOT EDIT */
Chris@82 22 /* Generated on Thu May 24 08:04:19 EDT 2018 */
Chris@82 23
Chris@82 24 #include "dft/codelet-dft.h"
Chris@82 25
Chris@82 26 #if defined(ARCH_PREFERS_FMA) || defined(ISA_EXTENSION_PREFERS_FMA)
Chris@82 27
Chris@82 28 /* Generated by: ../../../genfft/gen_twiddle.native -fma -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 16 -name t2_16 -include dft/scalar/t.h */
Chris@82 29
Chris@82 30 /*
Chris@82 31 * This function contains 196 FP additions, 134 FP multiplications,
Chris@82 32 * (or, 104 additions, 42 multiplications, 92 fused multiply/add),
Chris@82 33 * 90 stack variables, 3 constants, and 64 memory accesses
Chris@82 34 */
Chris@82 35 #include "dft/scalar/t.h"
Chris@82 36
Chris@82 37 static void t2_16(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@82 38 {
Chris@82 39 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@82 40 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
Chris@82 41 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@82 42 {
Chris@82 43 INT m;
Chris@82 44 for (m = mb, W = W + (mb * 8); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 8, MAKE_VOLATILE_STRIDE(32, rs)) {
Chris@82 45 E T2, Tf, TM, TO, T3, T6, T5, Th, Tz, Ti, T7, TZ, TT, Tq, TW;
Chris@82 46 E Tb, Tu, TP, TI, TF, TC, T1z, T1O, T1D, T1L, Tm, T1f, T1p, T1j, T1m;
Chris@82 47 {
Chris@82 48 E TN, TS, T4, Tp, Ta, Tt, Tl, Tg;
Chris@82 49 T2 = W[0];
Chris@82 50 Tf = W[2];
Chris@82 51 Tg = T2 * Tf;
Chris@82 52 TM = W[6];
Chris@82 53 TN = T2 * TM;
Chris@82 54 TO = W[7];
Chris@82 55 TS = T2 * TO;
Chris@82 56 T3 = W[4];
Chris@82 57 T4 = T2 * T3;
Chris@82 58 Tp = Tf * T3;
Chris@82 59 T6 = W[5];
Chris@82 60 Ta = T2 * T6;
Chris@82 61 Tt = Tf * T6;
Chris@82 62 T5 = W[1];
Chris@82 63 Th = W[3];
Chris@82 64 Tl = T2 * Th;
Chris@82 65 Tz = FMA(T5, Th, Tg);
Chris@82 66 Ti = FNMS(T5, Th, Tg);
Chris@82 67 T7 = FMA(T5, T6, T4);
Chris@82 68 TZ = FNMS(Th, T3, Tt);
Chris@82 69 TT = FNMS(T5, TM, TS);
Chris@82 70 Tq = FNMS(Th, T6, Tp);
Chris@82 71 TW = FMA(Th, T6, Tp);
Chris@82 72 Tb = FNMS(T5, T3, Ta);
Chris@82 73 Tu = FMA(Th, T3, Tt);
Chris@82 74 TP = FMA(T5, TO, TN);
Chris@82 75 TI = FMA(T5, T3, Ta);
Chris@82 76 TF = FNMS(T5, T6, T4);
Chris@82 77 {
Chris@82 78 E T1y, T1C, T1e, T1i;
Chris@82 79 T1y = Tz * T3;
Chris@82 80 T1C = Tz * T6;
Chris@82 81 TC = FNMS(T5, Tf, Tl);
Chris@82 82 T1z = FMA(TC, T6, T1y);
Chris@82 83 T1O = FMA(TC, T3, T1C);
Chris@82 84 T1D = FNMS(TC, T3, T1C);
Chris@82 85 T1L = FNMS(TC, T6, T1y);
Chris@82 86 T1e = Ti * T3;
Chris@82 87 T1i = Ti * T6;
Chris@82 88 Tm = FMA(T5, Tf, Tl);
Chris@82 89 T1f = FMA(Tm, T6, T1e);
Chris@82 90 T1p = FMA(Tm, T3, T1i);
Chris@82 91 T1j = FNMS(Tm, T3, T1i);
Chris@82 92 T1m = FNMS(Tm, T6, T1e);
Chris@82 93 }
Chris@82 94 }
Chris@82 95 {
Chris@82 96 E Te, T1U, T3A, T3L, T1G, T2D, T2A, T3h, T1R, T2B, T2I, T3i, Tx, T3M, T1Z;
Chris@82 97 E T3w, TL, T26, T25, T37, T1d, T2o, T2l, T3c, T1s, T2m, T2t, T3d, T12, T28;
Chris@82 98 E T2d, T38;
Chris@82 99 {
Chris@82 100 E T1, T3z, T8, T9, Tc, T3x, Td, T3y;
Chris@82 101 T1 = ri[0];
Chris@82 102 T3z = ii[0];
Chris@82 103 T8 = ri[WS(rs, 8)];
Chris@82 104 T9 = T7 * T8;
Chris@82 105 Tc = ii[WS(rs, 8)];
Chris@82 106 T3x = T7 * Tc;
Chris@82 107 Td = FMA(Tb, Tc, T9);
Chris@82 108 Te = T1 + Td;
Chris@82 109 T1U = T1 - Td;
Chris@82 110 T3y = FNMS(Tb, T8, T3x);
Chris@82 111 T3A = T3y + T3z;
Chris@82 112 T3L = T3z - T3y;
Chris@82 113 }
Chris@82 114 {
Chris@82 115 E T1u, T1v, T1w, T2w, T1A, T1B, T1E, T2y;
Chris@82 116 T1u = ri[WS(rs, 15)];
Chris@82 117 T1v = TM * T1u;
Chris@82 118 T1w = ii[WS(rs, 15)];
Chris@82 119 T2w = TM * T1w;
Chris@82 120 T1A = ri[WS(rs, 7)];
Chris@82 121 T1B = T1z * T1A;
Chris@82 122 T1E = ii[WS(rs, 7)];
Chris@82 123 T2y = T1z * T1E;
Chris@82 124 {
Chris@82 125 E T1x, T1F, T2x, T2z;
Chris@82 126 T1x = FMA(TO, T1w, T1v);
Chris@82 127 T1F = FMA(T1D, T1E, T1B);
Chris@82 128 T1G = T1x + T1F;
Chris@82 129 T2D = T1x - T1F;
Chris@82 130 T2x = FNMS(TO, T1u, T2w);
Chris@82 131 T2z = FNMS(T1D, T1A, T2y);
Chris@82 132 T2A = T2x - T2z;
Chris@82 133 T3h = T2x + T2z;
Chris@82 134 }
Chris@82 135 }
Chris@82 136 {
Chris@82 137 E T1H, T1I, T1J, T2E, T1M, T1N, T1P, T2G;
Chris@82 138 T1H = ri[WS(rs, 3)];
Chris@82 139 T1I = Tf * T1H;
Chris@82 140 T1J = ii[WS(rs, 3)];
Chris@82 141 T2E = Tf * T1J;
Chris@82 142 T1M = ri[WS(rs, 11)];
Chris@82 143 T1N = T1L * T1M;
Chris@82 144 T1P = ii[WS(rs, 11)];
Chris@82 145 T2G = T1L * T1P;
Chris@82 146 {
Chris@82 147 E T1K, T1Q, T2F, T2H;
Chris@82 148 T1K = FMA(Th, T1J, T1I);
Chris@82 149 T1Q = FMA(T1O, T1P, T1N);
Chris@82 150 T1R = T1K + T1Q;
Chris@82 151 T2B = T1K - T1Q;
Chris@82 152 T2F = FNMS(Th, T1H, T2E);
Chris@82 153 T2H = FNMS(T1O, T1M, T2G);
Chris@82 154 T2I = T2F - T2H;
Chris@82 155 T3i = T2F + T2H;
Chris@82 156 }
Chris@82 157 }
Chris@82 158 {
Chris@82 159 E Tj, Tk, Tn, T1V, Tr, Ts, Tv, T1X;
Chris@82 160 Tj = ri[WS(rs, 4)];
Chris@82 161 Tk = Ti * Tj;
Chris@82 162 Tn = ii[WS(rs, 4)];
Chris@82 163 T1V = Ti * Tn;
Chris@82 164 Tr = ri[WS(rs, 12)];
Chris@82 165 Ts = Tq * Tr;
Chris@82 166 Tv = ii[WS(rs, 12)];
Chris@82 167 T1X = Tq * Tv;
Chris@82 168 {
Chris@82 169 E To, Tw, T1W, T1Y;
Chris@82 170 To = FMA(Tm, Tn, Tk);
Chris@82 171 Tw = FMA(Tu, Tv, Ts);
Chris@82 172 Tx = To + Tw;
Chris@82 173 T3M = To - Tw;
Chris@82 174 T1W = FNMS(Tm, Tj, T1V);
Chris@82 175 T1Y = FNMS(Tu, Tr, T1X);
Chris@82 176 T1Z = T1W - T1Y;
Chris@82 177 T3w = T1W + T1Y;
Chris@82 178 }
Chris@82 179 }
Chris@82 180 {
Chris@82 181 E TA, TB, TD, T21, TG, TH, TJ, T23;
Chris@82 182 TA = ri[WS(rs, 2)];
Chris@82 183 TB = Tz * TA;
Chris@82 184 TD = ii[WS(rs, 2)];
Chris@82 185 T21 = Tz * TD;
Chris@82 186 TG = ri[WS(rs, 10)];
Chris@82 187 TH = TF * TG;
Chris@82 188 TJ = ii[WS(rs, 10)];
Chris@82 189 T23 = TF * TJ;
Chris@82 190 {
Chris@82 191 E TE, TK, T22, T24;
Chris@82 192 TE = FMA(TC, TD, TB);
Chris@82 193 TK = FMA(TI, TJ, TH);
Chris@82 194 TL = TE + TK;
Chris@82 195 T26 = TE - TK;
Chris@82 196 T22 = FNMS(TC, TA, T21);
Chris@82 197 T24 = FNMS(TI, TG, T23);
Chris@82 198 T25 = T22 - T24;
Chris@82 199 T37 = T22 + T24;
Chris@82 200 }
Chris@82 201 }
Chris@82 202 {
Chris@82 203 E T15, T16, T17, T2h, T19, T1a, T1b, T2j;
Chris@82 204 T15 = ri[WS(rs, 1)];
Chris@82 205 T16 = T2 * T15;
Chris@82 206 T17 = ii[WS(rs, 1)];
Chris@82 207 T2h = T2 * T17;
Chris@82 208 T19 = ri[WS(rs, 9)];
Chris@82 209 T1a = T3 * T19;
Chris@82 210 T1b = ii[WS(rs, 9)];
Chris@82 211 T2j = T3 * T1b;
Chris@82 212 {
Chris@82 213 E T18, T1c, T2i, T2k;
Chris@82 214 T18 = FMA(T5, T17, T16);
Chris@82 215 T1c = FMA(T6, T1b, T1a);
Chris@82 216 T1d = T18 + T1c;
Chris@82 217 T2o = T18 - T1c;
Chris@82 218 T2i = FNMS(T5, T15, T2h);
Chris@82 219 T2k = FNMS(T6, T19, T2j);
Chris@82 220 T2l = T2i - T2k;
Chris@82 221 T3c = T2i + T2k;
Chris@82 222 }
Chris@82 223 }
Chris@82 224 {
Chris@82 225 E T1g, T1h, T1k, T2p, T1n, T1o, T1q, T2r;
Chris@82 226 T1g = ri[WS(rs, 5)];
Chris@82 227 T1h = T1f * T1g;
Chris@82 228 T1k = ii[WS(rs, 5)];
Chris@82 229 T2p = T1f * T1k;
Chris@82 230 T1n = ri[WS(rs, 13)];
Chris@82 231 T1o = T1m * T1n;
Chris@82 232 T1q = ii[WS(rs, 13)];
Chris@82 233 T2r = T1m * T1q;
Chris@82 234 {
Chris@82 235 E T1l, T1r, T2q, T2s;
Chris@82 236 T1l = FMA(T1j, T1k, T1h);
Chris@82 237 T1r = FMA(T1p, T1q, T1o);
Chris@82 238 T1s = T1l + T1r;
Chris@82 239 T2m = T1l - T1r;
Chris@82 240 T2q = FNMS(T1j, T1g, T2p);
Chris@82 241 T2s = FNMS(T1p, T1n, T2r);
Chris@82 242 T2t = T2q - T2s;
Chris@82 243 T3d = T2q + T2s;
Chris@82 244 }
Chris@82 245 }
Chris@82 246 {
Chris@82 247 E TQ, TR, TU, T29, TX, TY, T10, T2b;
Chris@82 248 TQ = ri[WS(rs, 14)];
Chris@82 249 TR = TP * TQ;
Chris@82 250 TU = ii[WS(rs, 14)];
Chris@82 251 T29 = TP * TU;
Chris@82 252 TX = ri[WS(rs, 6)];
Chris@82 253 TY = TW * TX;
Chris@82 254 T10 = ii[WS(rs, 6)];
Chris@82 255 T2b = TW * T10;
Chris@82 256 {
Chris@82 257 E TV, T11, T2a, T2c;
Chris@82 258 TV = FMA(TT, TU, TR);
Chris@82 259 T11 = FMA(TZ, T10, TY);
Chris@82 260 T12 = TV + T11;
Chris@82 261 T28 = TV - T11;
Chris@82 262 T2a = FNMS(TT, TQ, T29);
Chris@82 263 T2c = FNMS(TZ, TX, T2b);
Chris@82 264 T2d = T2a - T2c;
Chris@82 265 T38 = T2a + T2c;
Chris@82 266 }
Chris@82 267 }
Chris@82 268 {
Chris@82 269 E T14, T3q, T3C, T3E, T1T, T3D, T3t, T3u;
Chris@82 270 {
Chris@82 271 E Ty, T13, T3v, T3B;
Chris@82 272 Ty = Te + Tx;
Chris@82 273 T13 = TL + T12;
Chris@82 274 T14 = Ty + T13;
Chris@82 275 T3q = Ty - T13;
Chris@82 276 T3v = T37 + T38;
Chris@82 277 T3B = T3w + T3A;
Chris@82 278 T3C = T3v + T3B;
Chris@82 279 T3E = T3B - T3v;
Chris@82 280 }
Chris@82 281 {
Chris@82 282 E T1t, T1S, T3r, T3s;
Chris@82 283 T1t = T1d + T1s;
Chris@82 284 T1S = T1G + T1R;
Chris@82 285 T1T = T1t + T1S;
Chris@82 286 T3D = T1S - T1t;
Chris@82 287 T3r = T3c + T3d;
Chris@82 288 T3s = T3h + T3i;
Chris@82 289 T3t = T3r - T3s;
Chris@82 290 T3u = T3r + T3s;
Chris@82 291 }
Chris@82 292 ri[WS(rs, 8)] = T14 - T1T;
Chris@82 293 ii[WS(rs, 8)] = T3C - T3u;
Chris@82 294 ri[0] = T14 + T1T;
Chris@82 295 ii[0] = T3u + T3C;
Chris@82 296 ri[WS(rs, 12)] = T3q - T3t;
Chris@82 297 ii[WS(rs, 12)] = T3E - T3D;
Chris@82 298 ri[WS(rs, 4)] = T3q + T3t;
Chris@82 299 ii[WS(rs, 4)] = T3D + T3E;
Chris@82 300 }
Chris@82 301 {
Chris@82 302 E T3a, T3m, T3H, T3J, T3f, T3n, T3k, T3o;
Chris@82 303 {
Chris@82 304 E T36, T39, T3F, T3G;
Chris@82 305 T36 = Te - Tx;
Chris@82 306 T39 = T37 - T38;
Chris@82 307 T3a = T36 + T39;
Chris@82 308 T3m = T36 - T39;
Chris@82 309 T3F = T12 - TL;
Chris@82 310 T3G = T3A - T3w;
Chris@82 311 T3H = T3F + T3G;
Chris@82 312 T3J = T3G - T3F;
Chris@82 313 }
Chris@82 314 {
Chris@82 315 E T3b, T3e, T3g, T3j;
Chris@82 316 T3b = T1d - T1s;
Chris@82 317 T3e = T3c - T3d;
Chris@82 318 T3f = T3b + T3e;
Chris@82 319 T3n = T3e - T3b;
Chris@82 320 T3g = T1G - T1R;
Chris@82 321 T3j = T3h - T3i;
Chris@82 322 T3k = T3g - T3j;
Chris@82 323 T3o = T3g + T3j;
Chris@82 324 }
Chris@82 325 {
Chris@82 326 E T3l, T3I, T3p, T3K;
Chris@82 327 T3l = T3f + T3k;
Chris@82 328 ri[WS(rs, 10)] = FNMS(KP707106781, T3l, T3a);
Chris@82 329 ri[WS(rs, 2)] = FMA(KP707106781, T3l, T3a);
Chris@82 330 T3I = T3n + T3o;
Chris@82 331 ii[WS(rs, 2)] = FMA(KP707106781, T3I, T3H);
Chris@82 332 ii[WS(rs, 10)] = FNMS(KP707106781, T3I, T3H);
Chris@82 333 T3p = T3n - T3o;
Chris@82 334 ri[WS(rs, 14)] = FNMS(KP707106781, T3p, T3m);
Chris@82 335 ri[WS(rs, 6)] = FMA(KP707106781, T3p, T3m);
Chris@82 336 T3K = T3k - T3f;
Chris@82 337 ii[WS(rs, 6)] = FMA(KP707106781, T3K, T3J);
Chris@82 338 ii[WS(rs, 14)] = FNMS(KP707106781, T3K, T3J);
Chris@82 339 }
Chris@82 340 }
Chris@82 341 {
Chris@82 342 E T20, T3N, T3T, T2Q, T2f, T3O, T30, T34, T2T, T3U, T2v, T2N, T2X, T33, T2K;
Chris@82 343 E T2O;
Chris@82 344 {
Chris@82 345 E T27, T2e, T2n, T2u;
Chris@82 346 T20 = T1U - T1Z;
Chris@82 347 T3N = T3L - T3M;
Chris@82 348 T3T = T3M + T3L;
Chris@82 349 T2Q = T1U + T1Z;
Chris@82 350 T27 = T25 - T26;
Chris@82 351 T2e = T28 + T2d;
Chris@82 352 T2f = T27 - T2e;
Chris@82 353 T3O = T27 + T2e;
Chris@82 354 {
Chris@82 355 E T2Y, T2Z, T2R, T2S;
Chris@82 356 T2Y = T2D + T2I;
Chris@82 357 T2Z = T2A - T2B;
Chris@82 358 T30 = FNMS(KP414213562, T2Z, T2Y);
Chris@82 359 T34 = FMA(KP414213562, T2Y, T2Z);
Chris@82 360 T2R = T26 + T25;
Chris@82 361 T2S = T28 - T2d;
Chris@82 362 T2T = T2R + T2S;
Chris@82 363 T3U = T2S - T2R;
Chris@82 364 }
Chris@82 365 T2n = T2l + T2m;
Chris@82 366 T2u = T2o - T2t;
Chris@82 367 T2v = FMA(KP414213562, T2u, T2n);
Chris@82 368 T2N = FNMS(KP414213562, T2n, T2u);
Chris@82 369 {
Chris@82 370 E T2V, T2W, T2C, T2J;
Chris@82 371 T2V = T2o + T2t;
Chris@82 372 T2W = T2l - T2m;
Chris@82 373 T2X = FMA(KP414213562, T2W, T2V);
Chris@82 374 T33 = FNMS(KP414213562, T2V, T2W);
Chris@82 375 T2C = T2A + T2B;
Chris@82 376 T2J = T2D - T2I;
Chris@82 377 T2K = FNMS(KP414213562, T2J, T2C);
Chris@82 378 T2O = FMA(KP414213562, T2C, T2J);
Chris@82 379 }
Chris@82 380 }
Chris@82 381 {
Chris@82 382 E T2g, T2L, T3V, T3W;
Chris@82 383 T2g = FMA(KP707106781, T2f, T20);
Chris@82 384 T2L = T2v - T2K;
Chris@82 385 ri[WS(rs, 11)] = FNMS(KP923879532, T2L, T2g);
Chris@82 386 ri[WS(rs, 3)] = FMA(KP923879532, T2L, T2g);
Chris@82 387 T3V = FMA(KP707106781, T3U, T3T);
Chris@82 388 T3W = T2O - T2N;
Chris@82 389 ii[WS(rs, 3)] = FMA(KP923879532, T3W, T3V);
Chris@82 390 ii[WS(rs, 11)] = FNMS(KP923879532, T3W, T3V);
Chris@82 391 }
Chris@82 392 {
Chris@82 393 E T2M, T2P, T3X, T3Y;
Chris@82 394 T2M = FNMS(KP707106781, T2f, T20);
Chris@82 395 T2P = T2N + T2O;
Chris@82 396 ri[WS(rs, 7)] = FNMS(KP923879532, T2P, T2M);
Chris@82 397 ri[WS(rs, 15)] = FMA(KP923879532, T2P, T2M);
Chris@82 398 T3X = FNMS(KP707106781, T3U, T3T);
Chris@82 399 T3Y = T2v + T2K;
Chris@82 400 ii[WS(rs, 7)] = FNMS(KP923879532, T3Y, T3X);
Chris@82 401 ii[WS(rs, 15)] = FMA(KP923879532, T3Y, T3X);
Chris@82 402 }
Chris@82 403 {
Chris@82 404 E T2U, T31, T3P, T3Q;
Chris@82 405 T2U = FMA(KP707106781, T2T, T2Q);
Chris@82 406 T31 = T2X + T30;
Chris@82 407 ri[WS(rs, 9)] = FNMS(KP923879532, T31, T2U);
Chris@82 408 ri[WS(rs, 1)] = FMA(KP923879532, T31, T2U);
Chris@82 409 T3P = FMA(KP707106781, T3O, T3N);
Chris@82 410 T3Q = T33 + T34;
Chris@82 411 ii[WS(rs, 1)] = FMA(KP923879532, T3Q, T3P);
Chris@82 412 ii[WS(rs, 9)] = FNMS(KP923879532, T3Q, T3P);
Chris@82 413 }
Chris@82 414 {
Chris@82 415 E T32, T35, T3R, T3S;
Chris@82 416 T32 = FNMS(KP707106781, T2T, T2Q);
Chris@82 417 T35 = T33 - T34;
Chris@82 418 ri[WS(rs, 13)] = FNMS(KP923879532, T35, T32);
Chris@82 419 ri[WS(rs, 5)] = FMA(KP923879532, T35, T32);
Chris@82 420 T3R = FNMS(KP707106781, T3O, T3N);
Chris@82 421 T3S = T30 - T2X;
Chris@82 422 ii[WS(rs, 5)] = FMA(KP923879532, T3S, T3R);
Chris@82 423 ii[WS(rs, 13)] = FNMS(KP923879532, T3S, T3R);
Chris@82 424 }
Chris@82 425 }
Chris@82 426 }
Chris@82 427 }
Chris@82 428 }
Chris@82 429 }
Chris@82 430
Chris@82 431 static const tw_instr twinstr[] = {
Chris@82 432 {TW_CEXP, 0, 1},
Chris@82 433 {TW_CEXP, 0, 3},
Chris@82 434 {TW_CEXP, 0, 9},
Chris@82 435 {TW_CEXP, 0, 15},
Chris@82 436 {TW_NEXT, 1, 0}
Chris@82 437 };
Chris@82 438
Chris@82 439 static const ct_desc desc = { 16, "t2_16", twinstr, &GENUS, {104, 42, 92, 0}, 0, 0, 0 };
Chris@82 440
Chris@82 441 void X(codelet_t2_16) (planner *p) {
Chris@82 442 X(kdft_dit_register) (p, t2_16, &desc);
Chris@82 443 }
Chris@82 444 #else
Chris@82 445
Chris@82 446 /* Generated by: ../../../genfft/gen_twiddle.native -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 16 -name t2_16 -include dft/scalar/t.h */
Chris@82 447
Chris@82 448 /*
Chris@82 449 * This function contains 196 FP additions, 108 FP multiplications,
Chris@82 450 * (or, 156 additions, 68 multiplications, 40 fused multiply/add),
Chris@82 451 * 82 stack variables, 3 constants, and 64 memory accesses
Chris@82 452 */
Chris@82 453 #include "dft/scalar/t.h"
Chris@82 454
Chris@82 455 static void t2_16(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@82 456 {
Chris@82 457 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
Chris@82 458 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@82 459 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@82 460 {
Chris@82 461 INT m;
Chris@82 462 for (m = mb, W = W + (mb * 8); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 8, MAKE_VOLATILE_STRIDE(32, rs)) {
Chris@82 463 E T2, T5, Tg, Ti, Tk, To, TE, TC, T6, T3, T8, TW, TJ, Tt, TU;
Chris@82 464 E Tc, Tx, TH, TN, TO, TP, TR, T1f, T1k, T1b, T1i, T1y, T1H, T1u, T1F;
Chris@82 465 {
Chris@82 466 E T7, Tv, Ta, Ts, T4, Tw, Tb, Tr;
Chris@82 467 {
Chris@82 468 E Th, Tn, Tj, Tm;
Chris@82 469 T2 = W[0];
Chris@82 470 T5 = W[1];
Chris@82 471 Tg = W[2];
Chris@82 472 Ti = W[3];
Chris@82 473 Th = T2 * Tg;
Chris@82 474 Tn = T5 * Tg;
Chris@82 475 Tj = T5 * Ti;
Chris@82 476 Tm = T2 * Ti;
Chris@82 477 Tk = Th - Tj;
Chris@82 478 To = Tm + Tn;
Chris@82 479 TE = Tm - Tn;
Chris@82 480 TC = Th + Tj;
Chris@82 481 T6 = W[5];
Chris@82 482 T7 = T5 * T6;
Chris@82 483 Tv = Tg * T6;
Chris@82 484 Ta = T2 * T6;
Chris@82 485 Ts = Ti * T6;
Chris@82 486 T3 = W[4];
Chris@82 487 T4 = T2 * T3;
Chris@82 488 Tw = Ti * T3;
Chris@82 489 Tb = T5 * T3;
Chris@82 490 Tr = Tg * T3;
Chris@82 491 }
Chris@82 492 T8 = T4 + T7;
Chris@82 493 TW = Tv - Tw;
Chris@82 494 TJ = Ta + Tb;
Chris@82 495 Tt = Tr - Ts;
Chris@82 496 TU = Tr + Ts;
Chris@82 497 Tc = Ta - Tb;
Chris@82 498 Tx = Tv + Tw;
Chris@82 499 TH = T4 - T7;
Chris@82 500 TN = W[6];
Chris@82 501 TO = W[7];
Chris@82 502 TP = FMA(T2, TN, T5 * TO);
Chris@82 503 TR = FNMS(T5, TN, T2 * TO);
Chris@82 504 {
Chris@82 505 E T1d, T1e, T19, T1a;
Chris@82 506 T1d = Tk * T6;
Chris@82 507 T1e = To * T3;
Chris@82 508 T1f = T1d - T1e;
Chris@82 509 T1k = T1d + T1e;
Chris@82 510 T19 = Tk * T3;
Chris@82 511 T1a = To * T6;
Chris@82 512 T1b = T19 + T1a;
Chris@82 513 T1i = T19 - T1a;
Chris@82 514 }
Chris@82 515 {
Chris@82 516 E T1w, T1x, T1s, T1t;
Chris@82 517 T1w = TC * T6;
Chris@82 518 T1x = TE * T3;
Chris@82 519 T1y = T1w - T1x;
Chris@82 520 T1H = T1w + T1x;
Chris@82 521 T1s = TC * T3;
Chris@82 522 T1t = TE * T6;
Chris@82 523 T1u = T1s + T1t;
Chris@82 524 T1F = T1s - T1t;
Chris@82 525 }
Chris@82 526 }
Chris@82 527 {
Chris@82 528 E Tf, T3r, T1N, T3e, TA, T3s, T1Q, T3b, TM, T2M, T1W, T2w, TZ, T2N, T21;
Chris@82 529 E T2x, T1B, T1K, T2V, T2W, T2X, T2Y, T2j, T2D, T2o, T2E, T18, T1n, T2Q, T2R;
Chris@82 530 E T2S, T2T, T28, T2A, T2d, T2B;
Chris@82 531 {
Chris@82 532 E T1, T3d, Te, T3c, T9, Td;
Chris@82 533 T1 = ri[0];
Chris@82 534 T3d = ii[0];
Chris@82 535 T9 = ri[WS(rs, 8)];
Chris@82 536 Td = ii[WS(rs, 8)];
Chris@82 537 Te = FMA(T8, T9, Tc * Td);
Chris@82 538 T3c = FNMS(Tc, T9, T8 * Td);
Chris@82 539 Tf = T1 + Te;
Chris@82 540 T3r = T3d - T3c;
Chris@82 541 T1N = T1 - Te;
Chris@82 542 T3e = T3c + T3d;
Chris@82 543 }
Chris@82 544 {
Chris@82 545 E Tq, T1O, Tz, T1P;
Chris@82 546 {
Chris@82 547 E Tl, Tp, Tu, Ty;
Chris@82 548 Tl = ri[WS(rs, 4)];
Chris@82 549 Tp = ii[WS(rs, 4)];
Chris@82 550 Tq = FMA(Tk, Tl, To * Tp);
Chris@82 551 T1O = FNMS(To, Tl, Tk * Tp);
Chris@82 552 Tu = ri[WS(rs, 12)];
Chris@82 553 Ty = ii[WS(rs, 12)];
Chris@82 554 Tz = FMA(Tt, Tu, Tx * Ty);
Chris@82 555 T1P = FNMS(Tx, Tu, Tt * Ty);
Chris@82 556 }
Chris@82 557 TA = Tq + Tz;
Chris@82 558 T3s = Tq - Tz;
Chris@82 559 T1Q = T1O - T1P;
Chris@82 560 T3b = T1O + T1P;
Chris@82 561 }
Chris@82 562 {
Chris@82 563 E TG, T1S, TL, T1T, T1U, T1V;
Chris@82 564 {
Chris@82 565 E TD, TF, TI, TK;
Chris@82 566 TD = ri[WS(rs, 2)];
Chris@82 567 TF = ii[WS(rs, 2)];
Chris@82 568 TG = FMA(TC, TD, TE * TF);
Chris@82 569 T1S = FNMS(TE, TD, TC * TF);
Chris@82 570 TI = ri[WS(rs, 10)];
Chris@82 571 TK = ii[WS(rs, 10)];
Chris@82 572 TL = FMA(TH, TI, TJ * TK);
Chris@82 573 T1T = FNMS(TJ, TI, TH * TK);
Chris@82 574 }
Chris@82 575 TM = TG + TL;
Chris@82 576 T2M = T1S + T1T;
Chris@82 577 T1U = T1S - T1T;
Chris@82 578 T1V = TG - TL;
Chris@82 579 T1W = T1U - T1V;
Chris@82 580 T2w = T1V + T1U;
Chris@82 581 }
Chris@82 582 {
Chris@82 583 E TT, T1Y, TY, T1Z, T1X, T20;
Chris@82 584 {
Chris@82 585 E TQ, TS, TV, TX;
Chris@82 586 TQ = ri[WS(rs, 14)];
Chris@82 587 TS = ii[WS(rs, 14)];
Chris@82 588 TT = FMA(TP, TQ, TR * TS);
Chris@82 589 T1Y = FNMS(TR, TQ, TP * TS);
Chris@82 590 TV = ri[WS(rs, 6)];
Chris@82 591 TX = ii[WS(rs, 6)];
Chris@82 592 TY = FMA(TU, TV, TW * TX);
Chris@82 593 T1Z = FNMS(TW, TV, TU * TX);
Chris@82 594 }
Chris@82 595 TZ = TT + TY;
Chris@82 596 T2N = T1Y + T1Z;
Chris@82 597 T1X = TT - TY;
Chris@82 598 T20 = T1Y - T1Z;
Chris@82 599 T21 = T1X + T20;
Chris@82 600 T2x = T1X - T20;
Chris@82 601 }
Chris@82 602 {
Chris@82 603 E T1r, T2k, T1J, T2h, T1A, T2l, T1E, T2g;
Chris@82 604 {
Chris@82 605 E T1p, T1q, T1G, T1I;
Chris@82 606 T1p = ri[WS(rs, 15)];
Chris@82 607 T1q = ii[WS(rs, 15)];
Chris@82 608 T1r = FMA(TN, T1p, TO * T1q);
Chris@82 609 T2k = FNMS(TO, T1p, TN * T1q);
Chris@82 610 T1G = ri[WS(rs, 11)];
Chris@82 611 T1I = ii[WS(rs, 11)];
Chris@82 612 T1J = FMA(T1F, T1G, T1H * T1I);
Chris@82 613 T2h = FNMS(T1H, T1G, T1F * T1I);
Chris@82 614 }
Chris@82 615 {
Chris@82 616 E T1v, T1z, T1C, T1D;
Chris@82 617 T1v = ri[WS(rs, 7)];
Chris@82 618 T1z = ii[WS(rs, 7)];
Chris@82 619 T1A = FMA(T1u, T1v, T1y * T1z);
Chris@82 620 T2l = FNMS(T1y, T1v, T1u * T1z);
Chris@82 621 T1C = ri[WS(rs, 3)];
Chris@82 622 T1D = ii[WS(rs, 3)];
Chris@82 623 T1E = FMA(Tg, T1C, Ti * T1D);
Chris@82 624 T2g = FNMS(Ti, T1C, Tg * T1D);
Chris@82 625 }
Chris@82 626 T1B = T1r + T1A;
Chris@82 627 T1K = T1E + T1J;
Chris@82 628 T2V = T1B - T1K;
Chris@82 629 T2W = T2k + T2l;
Chris@82 630 T2X = T2g + T2h;
Chris@82 631 T2Y = T2W - T2X;
Chris@82 632 {
Chris@82 633 E T2f, T2i, T2m, T2n;
Chris@82 634 T2f = T1r - T1A;
Chris@82 635 T2i = T2g - T2h;
Chris@82 636 T2j = T2f - T2i;
Chris@82 637 T2D = T2f + T2i;
Chris@82 638 T2m = T2k - T2l;
Chris@82 639 T2n = T1E - T1J;
Chris@82 640 T2o = T2m + T2n;
Chris@82 641 T2E = T2m - T2n;
Chris@82 642 }
Chris@82 643 }
Chris@82 644 {
Chris@82 645 E T14, T24, T1m, T2b, T17, T25, T1h, T2a;
Chris@82 646 {
Chris@82 647 E T12, T13, T1j, T1l;
Chris@82 648 T12 = ri[WS(rs, 1)];
Chris@82 649 T13 = ii[WS(rs, 1)];
Chris@82 650 T14 = FMA(T2, T12, T5 * T13);
Chris@82 651 T24 = FNMS(T5, T12, T2 * T13);
Chris@82 652 T1j = ri[WS(rs, 13)];
Chris@82 653 T1l = ii[WS(rs, 13)];
Chris@82 654 T1m = FMA(T1i, T1j, T1k * T1l);
Chris@82 655 T2b = FNMS(T1k, T1j, T1i * T1l);
Chris@82 656 }
Chris@82 657 {
Chris@82 658 E T15, T16, T1c, T1g;
Chris@82 659 T15 = ri[WS(rs, 9)];
Chris@82 660 T16 = ii[WS(rs, 9)];
Chris@82 661 T17 = FMA(T3, T15, T6 * T16);
Chris@82 662 T25 = FNMS(T6, T15, T3 * T16);
Chris@82 663 T1c = ri[WS(rs, 5)];
Chris@82 664 T1g = ii[WS(rs, 5)];
Chris@82 665 T1h = FMA(T1b, T1c, T1f * T1g);
Chris@82 666 T2a = FNMS(T1f, T1c, T1b * T1g);
Chris@82 667 }
Chris@82 668 T18 = T14 + T17;
Chris@82 669 T1n = T1h + T1m;
Chris@82 670 T2Q = T18 - T1n;
Chris@82 671 T2R = T24 + T25;
Chris@82 672 T2S = T2a + T2b;
Chris@82 673 T2T = T2R - T2S;
Chris@82 674 {
Chris@82 675 E T26, T27, T29, T2c;
Chris@82 676 T26 = T24 - T25;
Chris@82 677 T27 = T1h - T1m;
Chris@82 678 T28 = T26 + T27;
Chris@82 679 T2A = T26 - T27;
Chris@82 680 T29 = T14 - T17;
Chris@82 681 T2c = T2a - T2b;
Chris@82 682 T2d = T29 - T2c;
Chris@82 683 T2B = T29 + T2c;
Chris@82 684 }
Chris@82 685 }
Chris@82 686 {
Chris@82 687 E T23, T2r, T3A, T3C, T2q, T3B, T2u, T3x;
Chris@82 688 {
Chris@82 689 E T1R, T22, T3y, T3z;
Chris@82 690 T1R = T1N - T1Q;
Chris@82 691 T22 = KP707106781 * (T1W - T21);
Chris@82 692 T23 = T1R + T22;
Chris@82 693 T2r = T1R - T22;
Chris@82 694 T3y = KP707106781 * (T2x - T2w);
Chris@82 695 T3z = T3s + T3r;
Chris@82 696 T3A = T3y + T3z;
Chris@82 697 T3C = T3z - T3y;
Chris@82 698 }
Chris@82 699 {
Chris@82 700 E T2e, T2p, T2s, T2t;
Chris@82 701 T2e = FMA(KP923879532, T28, KP382683432 * T2d);
Chris@82 702 T2p = FNMS(KP923879532, T2o, KP382683432 * T2j);
Chris@82 703 T2q = T2e + T2p;
Chris@82 704 T3B = T2p - T2e;
Chris@82 705 T2s = FNMS(KP923879532, T2d, KP382683432 * T28);
Chris@82 706 T2t = FMA(KP382683432, T2o, KP923879532 * T2j);
Chris@82 707 T2u = T2s - T2t;
Chris@82 708 T3x = T2s + T2t;
Chris@82 709 }
Chris@82 710 ri[WS(rs, 11)] = T23 - T2q;
Chris@82 711 ii[WS(rs, 11)] = T3A - T3x;
Chris@82 712 ri[WS(rs, 3)] = T23 + T2q;
Chris@82 713 ii[WS(rs, 3)] = T3x + T3A;
Chris@82 714 ri[WS(rs, 15)] = T2r - T2u;
Chris@82 715 ii[WS(rs, 15)] = T3C - T3B;
Chris@82 716 ri[WS(rs, 7)] = T2r + T2u;
Chris@82 717 ii[WS(rs, 7)] = T3B + T3C;
Chris@82 718 }
Chris@82 719 {
Chris@82 720 E T2P, T31, T3m, T3o, T30, T3n, T34, T3j;
Chris@82 721 {
Chris@82 722 E T2L, T2O, T3k, T3l;
Chris@82 723 T2L = Tf - TA;
Chris@82 724 T2O = T2M - T2N;
Chris@82 725 T2P = T2L + T2O;
Chris@82 726 T31 = T2L - T2O;
Chris@82 727 T3k = TZ - TM;
Chris@82 728 T3l = T3e - T3b;
Chris@82 729 T3m = T3k + T3l;
Chris@82 730 T3o = T3l - T3k;
Chris@82 731 }
Chris@82 732 {
Chris@82 733 E T2U, T2Z, T32, T33;
Chris@82 734 T2U = T2Q + T2T;
Chris@82 735 T2Z = T2V - T2Y;
Chris@82 736 T30 = KP707106781 * (T2U + T2Z);
Chris@82 737 T3n = KP707106781 * (T2Z - T2U);
Chris@82 738 T32 = T2T - T2Q;
Chris@82 739 T33 = T2V + T2Y;
Chris@82 740 T34 = KP707106781 * (T32 - T33);
Chris@82 741 T3j = KP707106781 * (T32 + T33);
Chris@82 742 }
Chris@82 743 ri[WS(rs, 10)] = T2P - T30;
Chris@82 744 ii[WS(rs, 10)] = T3m - T3j;
Chris@82 745 ri[WS(rs, 2)] = T2P + T30;
Chris@82 746 ii[WS(rs, 2)] = T3j + T3m;
Chris@82 747 ri[WS(rs, 14)] = T31 - T34;
Chris@82 748 ii[WS(rs, 14)] = T3o - T3n;
Chris@82 749 ri[WS(rs, 6)] = T31 + T34;
Chris@82 750 ii[WS(rs, 6)] = T3n + T3o;
Chris@82 751 }
Chris@82 752 {
Chris@82 753 E T2z, T2H, T3u, T3w, T2G, T3v, T2K, T3p;
Chris@82 754 {
Chris@82 755 E T2v, T2y, T3q, T3t;
Chris@82 756 T2v = T1N + T1Q;
Chris@82 757 T2y = KP707106781 * (T2w + T2x);
Chris@82 758 T2z = T2v + T2y;
Chris@82 759 T2H = T2v - T2y;
Chris@82 760 T3q = KP707106781 * (T1W + T21);
Chris@82 761 T3t = T3r - T3s;
Chris@82 762 T3u = T3q + T3t;
Chris@82 763 T3w = T3t - T3q;
Chris@82 764 }
Chris@82 765 {
Chris@82 766 E T2C, T2F, T2I, T2J;
Chris@82 767 T2C = FMA(KP382683432, T2A, KP923879532 * T2B);
Chris@82 768 T2F = FNMS(KP382683432, T2E, KP923879532 * T2D);
Chris@82 769 T2G = T2C + T2F;
Chris@82 770 T3v = T2F - T2C;
Chris@82 771 T2I = FNMS(KP382683432, T2B, KP923879532 * T2A);
Chris@82 772 T2J = FMA(KP923879532, T2E, KP382683432 * T2D);
Chris@82 773 T2K = T2I - T2J;
Chris@82 774 T3p = T2I + T2J;
Chris@82 775 }
Chris@82 776 ri[WS(rs, 9)] = T2z - T2G;
Chris@82 777 ii[WS(rs, 9)] = T3u - T3p;
Chris@82 778 ri[WS(rs, 1)] = T2z + T2G;
Chris@82 779 ii[WS(rs, 1)] = T3p + T3u;
Chris@82 780 ri[WS(rs, 13)] = T2H - T2K;
Chris@82 781 ii[WS(rs, 13)] = T3w - T3v;
Chris@82 782 ri[WS(rs, 5)] = T2H + T2K;
Chris@82 783 ii[WS(rs, 5)] = T3v + T3w;
Chris@82 784 }
Chris@82 785 {
Chris@82 786 E T11, T35, T3g, T3i, T1M, T3h, T38, T39;
Chris@82 787 {
Chris@82 788 E TB, T10, T3a, T3f;
Chris@82 789 TB = Tf + TA;
Chris@82 790 T10 = TM + TZ;
Chris@82 791 T11 = TB + T10;
Chris@82 792 T35 = TB - T10;
Chris@82 793 T3a = T2M + T2N;
Chris@82 794 T3f = T3b + T3e;
Chris@82 795 T3g = T3a + T3f;
Chris@82 796 T3i = T3f - T3a;
Chris@82 797 }
Chris@82 798 {
Chris@82 799 E T1o, T1L, T36, T37;
Chris@82 800 T1o = T18 + T1n;
Chris@82 801 T1L = T1B + T1K;
Chris@82 802 T1M = T1o + T1L;
Chris@82 803 T3h = T1L - T1o;
Chris@82 804 T36 = T2R + T2S;
Chris@82 805 T37 = T2W + T2X;
Chris@82 806 T38 = T36 - T37;
Chris@82 807 T39 = T36 + T37;
Chris@82 808 }
Chris@82 809 ri[WS(rs, 8)] = T11 - T1M;
Chris@82 810 ii[WS(rs, 8)] = T3g - T39;
Chris@82 811 ri[0] = T11 + T1M;
Chris@82 812 ii[0] = T39 + T3g;
Chris@82 813 ri[WS(rs, 12)] = T35 - T38;
Chris@82 814 ii[WS(rs, 12)] = T3i - T3h;
Chris@82 815 ri[WS(rs, 4)] = T35 + T38;
Chris@82 816 ii[WS(rs, 4)] = T3h + T3i;
Chris@82 817 }
Chris@82 818 }
Chris@82 819 }
Chris@82 820 }
Chris@82 821 }
Chris@82 822
Chris@82 823 static const tw_instr twinstr[] = {
Chris@82 824 {TW_CEXP, 0, 1},
Chris@82 825 {TW_CEXP, 0, 3},
Chris@82 826 {TW_CEXP, 0, 9},
Chris@82 827 {TW_CEXP, 0, 15},
Chris@82 828 {TW_NEXT, 1, 0}
Chris@82 829 };
Chris@82 830
Chris@82 831 static const ct_desc desc = { 16, "t2_16", twinstr, &GENUS, {156, 68, 40, 0}, 0, 0, 0 };
Chris@82 832
Chris@82 833 void X(codelet_t2_16) (planner *p) {
Chris@82 834 X(kdft_dit_register) (p, t2_16, &desc);
Chris@82 835 }
Chris@82 836 #endif