annotate fft/fftw/fftw-3.3.4/dft/scalar/codelets/t1_16.c @ 40:223f770b5341 kissfft-double tip

Try a double-precision kissfft
author Chris Cannam
date Wed, 07 Sep 2016 10:40:32 +0100
parents 26056e866c29
children
rev   line source
Chris@19 1 /*
Chris@19 2 * Copyright (c) 2003, 2007-14 Matteo Frigo
Chris@19 3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
Chris@19 4 *
Chris@19 5 * This program is free software; you can redistribute it and/or modify
Chris@19 6 * it under the terms of the GNU General Public License as published by
Chris@19 7 * the Free Software Foundation; either version 2 of the License, or
Chris@19 8 * (at your option) any later version.
Chris@19 9 *
Chris@19 10 * This program is distributed in the hope that it will be useful,
Chris@19 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
Chris@19 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
Chris@19 13 * GNU General Public License for more details.
Chris@19 14 *
Chris@19 15 * You should have received a copy of the GNU General Public License
Chris@19 16 * along with this program; if not, write to the Free Software
Chris@19 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
Chris@19 18 *
Chris@19 19 */
Chris@19 20
Chris@19 21 /* This file was automatically generated --- DO NOT EDIT */
Chris@19 22 /* Generated on Tue Mar 4 13:45:52 EST 2014 */
Chris@19 23
Chris@19 24 #include "codelet-dft.h"
Chris@19 25
Chris@19 26 #ifdef HAVE_FMA
Chris@19 27
Chris@19 28 /* Generated by: ../../../genfft/gen_twiddle.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 16 -name t1_16 -include t.h */
Chris@19 29
Chris@19 30 /*
Chris@19 31 * This function contains 174 FP additions, 100 FP multiplications,
Chris@19 32 * (or, 104 additions, 30 multiplications, 70 fused multiply/add),
Chris@19 33 * 97 stack variables, 3 constants, and 64 memory accesses
Chris@19 34 */
Chris@19 35 #include "t.h"
Chris@19 36
Chris@19 37 static void t1_16(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@19 38 {
Chris@19 39 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@19 40 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
Chris@19 41 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@19 42 {
Chris@19 43 INT m;
Chris@19 44 for (m = mb, W = W + (mb * 30); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 30, MAKE_VOLATILE_STRIDE(32, rs)) {
Chris@19 45 E T3G, T3F;
Chris@19 46 {
Chris@19 47 E T3z, T3o, T8, T1I, T2o, T35, T2r, T1s, T2w, T36, T2p, T1F, T3k, T1N, T3A;
Chris@19 48 E Tl, T1T, T2V, T1U, Tz, T29, T30, T2c, T11, TB, TE, T2h, T31, T2a, T1e;
Chris@19 49 E TC, T1X, TH, TK, TG, TD, TJ;
Chris@19 50 {
Chris@19 51 E Ta, Td, Tb, T1J, Tg, Tj, Tf, Tc, Ti;
Chris@19 52 {
Chris@19 53 E T1h, T1k, T1n, T2k, T1i, T1q, T1m, T1j, T1p;
Chris@19 54 {
Chris@19 55 E T1, T3n, T3, T6, T2, T5;
Chris@19 56 T1 = ri[0];
Chris@19 57 T3n = ii[0];
Chris@19 58 T3 = ri[WS(rs, 8)];
Chris@19 59 T6 = ii[WS(rs, 8)];
Chris@19 60 T2 = W[14];
Chris@19 61 T5 = W[15];
Chris@19 62 {
Chris@19 63 E T3l, T4, T1g, T3m, T7;
Chris@19 64 T1h = ri[WS(rs, 15)];
Chris@19 65 T1k = ii[WS(rs, 15)];
Chris@19 66 T3l = T2 * T6;
Chris@19 67 T4 = T2 * T3;
Chris@19 68 T1g = W[28];
Chris@19 69 T1n = ri[WS(rs, 7)];
Chris@19 70 T3m = FNMS(T5, T3, T3l);
Chris@19 71 T7 = FMA(T5, T6, T4);
Chris@19 72 T2k = T1g * T1k;
Chris@19 73 T1i = T1g * T1h;
Chris@19 74 T3z = T3n - T3m;
Chris@19 75 T3o = T3m + T3n;
Chris@19 76 T8 = T1 + T7;
Chris@19 77 T1I = T1 - T7;
Chris@19 78 T1q = ii[WS(rs, 7)];
Chris@19 79 T1m = W[12];
Chris@19 80 }
Chris@19 81 T1j = W[29];
Chris@19 82 T1p = W[13];
Chris@19 83 }
Chris@19 84 {
Chris@19 85 E T1u, T1x, T1v, T2s, T1A, T1D, T1z, T1w, T1C;
Chris@19 86 {
Chris@19 87 E T2l, T1l, T2n, T1r, T2m, T1o, T1t;
Chris@19 88 T1u = ri[WS(rs, 3)];
Chris@19 89 T2m = T1m * T1q;
Chris@19 90 T1o = T1m * T1n;
Chris@19 91 T2l = FNMS(T1j, T1h, T2k);
Chris@19 92 T1l = FMA(T1j, T1k, T1i);
Chris@19 93 T2n = FNMS(T1p, T1n, T2m);
Chris@19 94 T1r = FMA(T1p, T1q, T1o);
Chris@19 95 T1x = ii[WS(rs, 3)];
Chris@19 96 T1t = W[4];
Chris@19 97 T2o = T2l - T2n;
Chris@19 98 T35 = T2l + T2n;
Chris@19 99 T2r = T1l - T1r;
Chris@19 100 T1s = T1l + T1r;
Chris@19 101 T1v = T1t * T1u;
Chris@19 102 T2s = T1t * T1x;
Chris@19 103 }
Chris@19 104 T1A = ri[WS(rs, 11)];
Chris@19 105 T1D = ii[WS(rs, 11)];
Chris@19 106 T1z = W[20];
Chris@19 107 T1w = W[5];
Chris@19 108 T1C = W[21];
Chris@19 109 {
Chris@19 110 E T2t, T1y, T2v, T1E, T2u, T1B, T9;
Chris@19 111 Ta = ri[WS(rs, 4)];
Chris@19 112 T2u = T1z * T1D;
Chris@19 113 T1B = T1z * T1A;
Chris@19 114 T2t = FNMS(T1w, T1u, T2s);
Chris@19 115 T1y = FMA(T1w, T1x, T1v);
Chris@19 116 T2v = FNMS(T1C, T1A, T2u);
Chris@19 117 T1E = FMA(T1C, T1D, T1B);
Chris@19 118 Td = ii[WS(rs, 4)];
Chris@19 119 T9 = W[6];
Chris@19 120 T2w = T2t - T2v;
Chris@19 121 T36 = T2t + T2v;
Chris@19 122 T2p = T1y - T1E;
Chris@19 123 T1F = T1y + T1E;
Chris@19 124 Tb = T9 * Ta;
Chris@19 125 T1J = T9 * Td;
Chris@19 126 }
Chris@19 127 Tg = ri[WS(rs, 12)];
Chris@19 128 Tj = ii[WS(rs, 12)];
Chris@19 129 Tf = W[22];
Chris@19 130 Tc = W[7];
Chris@19 131 Ti = W[23];
Chris@19 132 }
Chris@19 133 }
Chris@19 134 {
Chris@19 135 E TQ, TT, TR, T25, TW, TZ, TV, TS, TY;
Chris@19 136 {
Chris@19 137 E To, Tr, Tp, T1P, Tu, Tx, Tt, Tq, Tw;
Chris@19 138 {
Chris@19 139 E T1K, Te, T1M, Tk, T1L, Th, Tn;
Chris@19 140 To = ri[WS(rs, 2)];
Chris@19 141 T1L = Tf * Tj;
Chris@19 142 Th = Tf * Tg;
Chris@19 143 T1K = FNMS(Tc, Ta, T1J);
Chris@19 144 Te = FMA(Tc, Td, Tb);
Chris@19 145 T1M = FNMS(Ti, Tg, T1L);
Chris@19 146 Tk = FMA(Ti, Tj, Th);
Chris@19 147 Tr = ii[WS(rs, 2)];
Chris@19 148 Tn = W[2];
Chris@19 149 T3k = T1K + T1M;
Chris@19 150 T1N = T1K - T1M;
Chris@19 151 T3A = Te - Tk;
Chris@19 152 Tl = Te + Tk;
Chris@19 153 Tp = Tn * To;
Chris@19 154 T1P = Tn * Tr;
Chris@19 155 }
Chris@19 156 Tu = ri[WS(rs, 10)];
Chris@19 157 Tx = ii[WS(rs, 10)];
Chris@19 158 Tt = W[18];
Chris@19 159 Tq = W[3];
Chris@19 160 Tw = W[19];
Chris@19 161 {
Chris@19 162 E T1Q, Ts, T1S, Ty, T1R, Tv, TP;
Chris@19 163 TQ = ri[WS(rs, 1)];
Chris@19 164 T1R = Tt * Tx;
Chris@19 165 Tv = Tt * Tu;
Chris@19 166 T1Q = FNMS(Tq, To, T1P);
Chris@19 167 Ts = FMA(Tq, Tr, Tp);
Chris@19 168 T1S = FNMS(Tw, Tu, T1R);
Chris@19 169 Ty = FMA(Tw, Tx, Tv);
Chris@19 170 TT = ii[WS(rs, 1)];
Chris@19 171 TP = W[0];
Chris@19 172 T1T = T1Q - T1S;
Chris@19 173 T2V = T1Q + T1S;
Chris@19 174 T1U = Ts - Ty;
Chris@19 175 Tz = Ts + Ty;
Chris@19 176 TR = TP * TQ;
Chris@19 177 T25 = TP * TT;
Chris@19 178 }
Chris@19 179 TW = ri[WS(rs, 9)];
Chris@19 180 TZ = ii[WS(rs, 9)];
Chris@19 181 TV = W[16];
Chris@19 182 TS = W[1];
Chris@19 183 TY = W[17];
Chris@19 184 }
Chris@19 185 {
Chris@19 186 E T13, T16, T14, T2d, T19, T1c, T18, T15, T1b;
Chris@19 187 {
Chris@19 188 E T26, TU, T28, T10, T27, TX, T12;
Chris@19 189 T13 = ri[WS(rs, 5)];
Chris@19 190 T27 = TV * TZ;
Chris@19 191 TX = TV * TW;
Chris@19 192 T26 = FNMS(TS, TQ, T25);
Chris@19 193 TU = FMA(TS, TT, TR);
Chris@19 194 T28 = FNMS(TY, TW, T27);
Chris@19 195 T10 = FMA(TY, TZ, TX);
Chris@19 196 T16 = ii[WS(rs, 5)];
Chris@19 197 T12 = W[8];
Chris@19 198 T29 = T26 - T28;
Chris@19 199 T30 = T26 + T28;
Chris@19 200 T2c = TU - T10;
Chris@19 201 T11 = TU + T10;
Chris@19 202 T14 = T12 * T13;
Chris@19 203 T2d = T12 * T16;
Chris@19 204 }
Chris@19 205 T19 = ri[WS(rs, 13)];
Chris@19 206 T1c = ii[WS(rs, 13)];
Chris@19 207 T18 = W[24];
Chris@19 208 T15 = W[9];
Chris@19 209 T1b = W[25];
Chris@19 210 {
Chris@19 211 E T2e, T17, T2g, T1d, T2f, T1a, TA;
Chris@19 212 TB = ri[WS(rs, 14)];
Chris@19 213 T2f = T18 * T1c;
Chris@19 214 T1a = T18 * T19;
Chris@19 215 T2e = FNMS(T15, T13, T2d);
Chris@19 216 T17 = FMA(T15, T16, T14);
Chris@19 217 T2g = FNMS(T1b, T19, T2f);
Chris@19 218 T1d = FMA(T1b, T1c, T1a);
Chris@19 219 TE = ii[WS(rs, 14)];
Chris@19 220 TA = W[26];
Chris@19 221 T2h = T2e - T2g;
Chris@19 222 T31 = T2e + T2g;
Chris@19 223 T2a = T17 - T1d;
Chris@19 224 T1e = T17 + T1d;
Chris@19 225 TC = TA * TB;
Chris@19 226 T1X = TA * TE;
Chris@19 227 }
Chris@19 228 TH = ri[WS(rs, 6)];
Chris@19 229 TK = ii[WS(rs, 6)];
Chris@19 230 TG = W[10];
Chris@19 231 TD = W[27];
Chris@19 232 TJ = W[11];
Chris@19 233 }
Chris@19 234 }
Chris@19 235 }
Chris@19 236 {
Chris@19 237 E T2U, T3u, T2Z, T21, T1W, T34, T2X, T3f, T32, T3t, T1H, T3q, T3e, TO, T3g;
Chris@19 238 E T37, T3r, T3s, T3h, T3i;
Chris@19 239 {
Chris@19 240 E Tm, T1Y, TF, T20, TL, T3p, T1Z, TI;
Chris@19 241 T2U = T8 - Tl;
Chris@19 242 Tm = T8 + Tl;
Chris@19 243 T1Z = TG * TK;
Chris@19 244 TI = TG * TH;
Chris@19 245 T1Y = FNMS(TD, TB, T1X);
Chris@19 246 TF = FMA(TD, TE, TC);
Chris@19 247 T20 = FNMS(TJ, TH, T1Z);
Chris@19 248 TL = FMA(TJ, TK, TI);
Chris@19 249 T3p = T3k + T3o;
Chris@19 250 T3u = T3o - T3k;
Chris@19 251 {
Chris@19 252 E T1f, TM, T1G, T3j, T2W, TN;
Chris@19 253 T2Z = T11 - T1e;
Chris@19 254 T1f = T11 + T1e;
Chris@19 255 T21 = T1Y - T20;
Chris@19 256 T2W = T1Y + T20;
Chris@19 257 T1W = TF - TL;
Chris@19 258 TM = TF + TL;
Chris@19 259 T1G = T1s + T1F;
Chris@19 260 T34 = T1s - T1F;
Chris@19 261 T2X = T2V - T2W;
Chris@19 262 T3j = T2V + T2W;
Chris@19 263 T3f = T30 + T31;
Chris@19 264 T32 = T30 - T31;
Chris@19 265 T3t = TM - Tz;
Chris@19 266 TN = Tz + TM;
Chris@19 267 T3r = T1G - T1f;
Chris@19 268 T1H = T1f + T1G;
Chris@19 269 T3s = T3p - T3j;
Chris@19 270 T3q = T3j + T3p;
Chris@19 271 T3e = Tm - TN;
Chris@19 272 TO = Tm + TN;
Chris@19 273 T3g = T35 + T36;
Chris@19 274 T37 = T35 - T36;
Chris@19 275 }
Chris@19 276 }
Chris@19 277 ii[WS(rs, 12)] = T3s - T3r;
Chris@19 278 ii[WS(rs, 4)] = T3r + T3s;
Chris@19 279 ri[0] = TO + T1H;
Chris@19 280 ri[WS(rs, 8)] = TO - T1H;
Chris@19 281 T3h = T3f - T3g;
Chris@19 282 T3i = T3f + T3g;
Chris@19 283 {
Chris@19 284 E T3a, T2Y, T3x, T3v, T3b, T33;
Chris@19 285 ii[0] = T3i + T3q;
Chris@19 286 ii[WS(rs, 8)] = T3q - T3i;
Chris@19 287 ri[WS(rs, 4)] = T3e + T3h;
Chris@19 288 ri[WS(rs, 12)] = T3e - T3h;
Chris@19 289 T3a = T2U - T2X;
Chris@19 290 T2Y = T2U + T2X;
Chris@19 291 T3x = T3u - T3t;
Chris@19 292 T3v = T3t + T3u;
Chris@19 293 T3b = T32 - T2Z;
Chris@19 294 T33 = T2Z + T32;
Chris@19 295 {
Chris@19 296 E T2E, T1O, T3B, T3H, T2x, T2q, T3C, T23, T2S, T2O, T2K, T2J, T3I, T2H, T2B;
Chris@19 297 E T2j;
Chris@19 298 {
Chris@19 299 E T2F, T1V, T22, T2G, T3c, T38;
Chris@19 300 T2E = T1I + T1N;
Chris@19 301 T1O = T1I - T1N;
Chris@19 302 T3B = T3z - T3A;
Chris@19 303 T3H = T3A + T3z;
Chris@19 304 T3c = T34 + T37;
Chris@19 305 T38 = T34 - T37;
Chris@19 306 T2F = T1U + T1T;
Chris@19 307 T1V = T1T - T1U;
Chris@19 308 {
Chris@19 309 E T3d, T3w, T3y, T39;
Chris@19 310 T3d = T3b - T3c;
Chris@19 311 T3w = T3b + T3c;
Chris@19 312 T3y = T38 - T33;
Chris@19 313 T39 = T33 + T38;
Chris@19 314 ri[WS(rs, 6)] = FMA(KP707106781, T3d, T3a);
Chris@19 315 ri[WS(rs, 14)] = FNMS(KP707106781, T3d, T3a);
Chris@19 316 ii[WS(rs, 10)] = FNMS(KP707106781, T3w, T3v);
Chris@19 317 ii[WS(rs, 2)] = FMA(KP707106781, T3w, T3v);
Chris@19 318 ii[WS(rs, 14)] = FNMS(KP707106781, T3y, T3x);
Chris@19 319 ii[WS(rs, 6)] = FMA(KP707106781, T3y, T3x);
Chris@19 320 ri[WS(rs, 2)] = FMA(KP707106781, T39, T2Y);
Chris@19 321 ri[WS(rs, 10)] = FNMS(KP707106781, T39, T2Y);
Chris@19 322 T22 = T1W + T21;
Chris@19 323 T2G = T1W - T21;
Chris@19 324 }
Chris@19 325 {
Chris@19 326 E T2M, T2N, T2b, T2i;
Chris@19 327 T2x = T2r - T2w;
Chris@19 328 T2M = T2r + T2w;
Chris@19 329 T2N = T2o - T2p;
Chris@19 330 T2q = T2o + T2p;
Chris@19 331 T3C = T1V + T22;
Chris@19 332 T23 = T1V - T22;
Chris@19 333 T2S = FMA(KP414213562, T2M, T2N);
Chris@19 334 T2O = FNMS(KP414213562, T2N, T2M);
Chris@19 335 T2K = T29 - T2a;
Chris@19 336 T2b = T29 + T2a;
Chris@19 337 T2i = T2c - T2h;
Chris@19 338 T2J = T2c + T2h;
Chris@19 339 T3I = T2G - T2F;
Chris@19 340 T2H = T2F + T2G;
Chris@19 341 T2B = FNMS(KP414213562, T2b, T2i);
Chris@19 342 T2j = FMA(KP414213562, T2i, T2b);
Chris@19 343 }
Chris@19 344 }
Chris@19 345 {
Chris@19 346 E T2R, T2L, T3L, T3M;
Chris@19 347 {
Chris@19 348 E T2A, T24, T2C, T2y, T3J, T3K, T2D, T2z;
Chris@19 349 T2A = FNMS(KP707106781, T23, T1O);
Chris@19 350 T24 = FMA(KP707106781, T23, T1O);
Chris@19 351 T2R = FNMS(KP414213562, T2J, T2K);
Chris@19 352 T2L = FMA(KP414213562, T2K, T2J);
Chris@19 353 T2C = FMA(KP414213562, T2q, T2x);
Chris@19 354 T2y = FNMS(KP414213562, T2x, T2q);
Chris@19 355 T3J = FMA(KP707106781, T3I, T3H);
Chris@19 356 T3L = FNMS(KP707106781, T3I, T3H);
Chris@19 357 T3K = T2C - T2B;
Chris@19 358 T2D = T2B + T2C;
Chris@19 359 T3M = T2j + T2y;
Chris@19 360 T2z = T2j - T2y;
Chris@19 361 ii[WS(rs, 11)] = FNMS(KP923879532, T3K, T3J);
Chris@19 362 ii[WS(rs, 3)] = FMA(KP923879532, T3K, T3J);
Chris@19 363 ri[WS(rs, 3)] = FMA(KP923879532, T2z, T24);
Chris@19 364 ri[WS(rs, 11)] = FNMS(KP923879532, T2z, T24);
Chris@19 365 ri[WS(rs, 15)] = FMA(KP923879532, T2D, T2A);
Chris@19 366 ri[WS(rs, 7)] = FNMS(KP923879532, T2D, T2A);
Chris@19 367 }
Chris@19 368 {
Chris@19 369 E T2Q, T3D, T3E, T2T, T2I, T2P;
Chris@19 370 T2Q = FNMS(KP707106781, T2H, T2E);
Chris@19 371 T2I = FMA(KP707106781, T2H, T2E);
Chris@19 372 T2P = T2L + T2O;
Chris@19 373 T3G = T2O - T2L;
Chris@19 374 T3F = FNMS(KP707106781, T3C, T3B);
Chris@19 375 T3D = FMA(KP707106781, T3C, T3B);
Chris@19 376 ii[WS(rs, 15)] = FMA(KP923879532, T3M, T3L);
Chris@19 377 ii[WS(rs, 7)] = FNMS(KP923879532, T3M, T3L);
Chris@19 378 ri[WS(rs, 1)] = FMA(KP923879532, T2P, T2I);
Chris@19 379 ri[WS(rs, 9)] = FNMS(KP923879532, T2P, T2I);
Chris@19 380 T3E = T2R + T2S;
Chris@19 381 T2T = T2R - T2S;
Chris@19 382 ii[WS(rs, 9)] = FNMS(KP923879532, T3E, T3D);
Chris@19 383 ii[WS(rs, 1)] = FMA(KP923879532, T3E, T3D);
Chris@19 384 ri[WS(rs, 5)] = FMA(KP923879532, T2T, T2Q);
Chris@19 385 ri[WS(rs, 13)] = FNMS(KP923879532, T2T, T2Q);
Chris@19 386 }
Chris@19 387 }
Chris@19 388 }
Chris@19 389 }
Chris@19 390 }
Chris@19 391 }
Chris@19 392 ii[WS(rs, 13)] = FNMS(KP923879532, T3G, T3F);
Chris@19 393 ii[WS(rs, 5)] = FMA(KP923879532, T3G, T3F);
Chris@19 394 }
Chris@19 395 }
Chris@19 396 }
Chris@19 397
Chris@19 398 static const tw_instr twinstr[] = {
Chris@19 399 {TW_FULL, 0, 16},
Chris@19 400 {TW_NEXT, 1, 0}
Chris@19 401 };
Chris@19 402
Chris@19 403 static const ct_desc desc = { 16, "t1_16", twinstr, &GENUS, {104, 30, 70, 0}, 0, 0, 0 };
Chris@19 404
Chris@19 405 void X(codelet_t1_16) (planner *p) {
Chris@19 406 X(kdft_dit_register) (p, t1_16, &desc);
Chris@19 407 }
Chris@19 408 #else /* HAVE_FMA */
Chris@19 409
Chris@19 410 /* Generated by: ../../../genfft/gen_twiddle.native -compact -variables 4 -pipeline-latency 4 -n 16 -name t1_16 -include t.h */
Chris@19 411
Chris@19 412 /*
Chris@19 413 * This function contains 174 FP additions, 84 FP multiplications,
Chris@19 414 * (or, 136 additions, 46 multiplications, 38 fused multiply/add),
Chris@19 415 * 52 stack variables, 3 constants, and 64 memory accesses
Chris@19 416 */
Chris@19 417 #include "t.h"
Chris@19 418
Chris@19 419 static void t1_16(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@19 420 {
Chris@19 421 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
Chris@19 422 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@19 423 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@19 424 {
Chris@19 425 INT m;
Chris@19 426 for (m = mb, W = W + (mb * 30); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 30, MAKE_VOLATILE_STRIDE(32, rs)) {
Chris@19 427 E T7, T37, T1t, T2U, Ti, T38, T1w, T2R, Tu, T2s, T1C, T2c, TF, T2t, T1H;
Chris@19 428 E T2d, T1f, T1q, T2B, T2C, T2D, T2E, T1Z, T2j, T24, T2k, TS, T13, T2w, T2x;
Chris@19 429 E T2y, T2z, T1O, T2g, T1T, T2h;
Chris@19 430 {
Chris@19 431 E T1, T2T, T6, T2S;
Chris@19 432 T1 = ri[0];
Chris@19 433 T2T = ii[0];
Chris@19 434 {
Chris@19 435 E T3, T5, T2, T4;
Chris@19 436 T3 = ri[WS(rs, 8)];
Chris@19 437 T5 = ii[WS(rs, 8)];
Chris@19 438 T2 = W[14];
Chris@19 439 T4 = W[15];
Chris@19 440 T6 = FMA(T2, T3, T4 * T5);
Chris@19 441 T2S = FNMS(T4, T3, T2 * T5);
Chris@19 442 }
Chris@19 443 T7 = T1 + T6;
Chris@19 444 T37 = T2T - T2S;
Chris@19 445 T1t = T1 - T6;
Chris@19 446 T2U = T2S + T2T;
Chris@19 447 }
Chris@19 448 {
Chris@19 449 E Tc, T1u, Th, T1v;
Chris@19 450 {
Chris@19 451 E T9, Tb, T8, Ta;
Chris@19 452 T9 = ri[WS(rs, 4)];
Chris@19 453 Tb = ii[WS(rs, 4)];
Chris@19 454 T8 = W[6];
Chris@19 455 Ta = W[7];
Chris@19 456 Tc = FMA(T8, T9, Ta * Tb);
Chris@19 457 T1u = FNMS(Ta, T9, T8 * Tb);
Chris@19 458 }
Chris@19 459 {
Chris@19 460 E Te, Tg, Td, Tf;
Chris@19 461 Te = ri[WS(rs, 12)];
Chris@19 462 Tg = ii[WS(rs, 12)];
Chris@19 463 Td = W[22];
Chris@19 464 Tf = W[23];
Chris@19 465 Th = FMA(Td, Te, Tf * Tg);
Chris@19 466 T1v = FNMS(Tf, Te, Td * Tg);
Chris@19 467 }
Chris@19 468 Ti = Tc + Th;
Chris@19 469 T38 = Tc - Th;
Chris@19 470 T1w = T1u - T1v;
Chris@19 471 T2R = T1u + T1v;
Chris@19 472 }
Chris@19 473 {
Chris@19 474 E To, T1y, Tt, T1z, T1A, T1B;
Chris@19 475 {
Chris@19 476 E Tl, Tn, Tk, Tm;
Chris@19 477 Tl = ri[WS(rs, 2)];
Chris@19 478 Tn = ii[WS(rs, 2)];
Chris@19 479 Tk = W[2];
Chris@19 480 Tm = W[3];
Chris@19 481 To = FMA(Tk, Tl, Tm * Tn);
Chris@19 482 T1y = FNMS(Tm, Tl, Tk * Tn);
Chris@19 483 }
Chris@19 484 {
Chris@19 485 E Tq, Ts, Tp, Tr;
Chris@19 486 Tq = ri[WS(rs, 10)];
Chris@19 487 Ts = ii[WS(rs, 10)];
Chris@19 488 Tp = W[18];
Chris@19 489 Tr = W[19];
Chris@19 490 Tt = FMA(Tp, Tq, Tr * Ts);
Chris@19 491 T1z = FNMS(Tr, Tq, Tp * Ts);
Chris@19 492 }
Chris@19 493 Tu = To + Tt;
Chris@19 494 T2s = T1y + T1z;
Chris@19 495 T1A = T1y - T1z;
Chris@19 496 T1B = To - Tt;
Chris@19 497 T1C = T1A - T1B;
Chris@19 498 T2c = T1B + T1A;
Chris@19 499 }
Chris@19 500 {
Chris@19 501 E Tz, T1E, TE, T1F, T1D, T1G;
Chris@19 502 {
Chris@19 503 E Tw, Ty, Tv, Tx;
Chris@19 504 Tw = ri[WS(rs, 14)];
Chris@19 505 Ty = ii[WS(rs, 14)];
Chris@19 506 Tv = W[26];
Chris@19 507 Tx = W[27];
Chris@19 508 Tz = FMA(Tv, Tw, Tx * Ty);
Chris@19 509 T1E = FNMS(Tx, Tw, Tv * Ty);
Chris@19 510 }
Chris@19 511 {
Chris@19 512 E TB, TD, TA, TC;
Chris@19 513 TB = ri[WS(rs, 6)];
Chris@19 514 TD = ii[WS(rs, 6)];
Chris@19 515 TA = W[10];
Chris@19 516 TC = W[11];
Chris@19 517 TE = FMA(TA, TB, TC * TD);
Chris@19 518 T1F = FNMS(TC, TB, TA * TD);
Chris@19 519 }
Chris@19 520 TF = Tz + TE;
Chris@19 521 T2t = T1E + T1F;
Chris@19 522 T1D = Tz - TE;
Chris@19 523 T1G = T1E - T1F;
Chris@19 524 T1H = T1D + T1G;
Chris@19 525 T2d = T1D - T1G;
Chris@19 526 }
Chris@19 527 {
Chris@19 528 E T19, T20, T1p, T1X, T1e, T21, T1k, T1W;
Chris@19 529 {
Chris@19 530 E T16, T18, T15, T17;
Chris@19 531 T16 = ri[WS(rs, 15)];
Chris@19 532 T18 = ii[WS(rs, 15)];
Chris@19 533 T15 = W[28];
Chris@19 534 T17 = W[29];
Chris@19 535 T19 = FMA(T15, T16, T17 * T18);
Chris@19 536 T20 = FNMS(T17, T16, T15 * T18);
Chris@19 537 }
Chris@19 538 {
Chris@19 539 E T1m, T1o, T1l, T1n;
Chris@19 540 T1m = ri[WS(rs, 11)];
Chris@19 541 T1o = ii[WS(rs, 11)];
Chris@19 542 T1l = W[20];
Chris@19 543 T1n = W[21];
Chris@19 544 T1p = FMA(T1l, T1m, T1n * T1o);
Chris@19 545 T1X = FNMS(T1n, T1m, T1l * T1o);
Chris@19 546 }
Chris@19 547 {
Chris@19 548 E T1b, T1d, T1a, T1c;
Chris@19 549 T1b = ri[WS(rs, 7)];
Chris@19 550 T1d = ii[WS(rs, 7)];
Chris@19 551 T1a = W[12];
Chris@19 552 T1c = W[13];
Chris@19 553 T1e = FMA(T1a, T1b, T1c * T1d);
Chris@19 554 T21 = FNMS(T1c, T1b, T1a * T1d);
Chris@19 555 }
Chris@19 556 {
Chris@19 557 E T1h, T1j, T1g, T1i;
Chris@19 558 T1h = ri[WS(rs, 3)];
Chris@19 559 T1j = ii[WS(rs, 3)];
Chris@19 560 T1g = W[4];
Chris@19 561 T1i = W[5];
Chris@19 562 T1k = FMA(T1g, T1h, T1i * T1j);
Chris@19 563 T1W = FNMS(T1i, T1h, T1g * T1j);
Chris@19 564 }
Chris@19 565 T1f = T19 + T1e;
Chris@19 566 T1q = T1k + T1p;
Chris@19 567 T2B = T1f - T1q;
Chris@19 568 T2C = T20 + T21;
Chris@19 569 T2D = T1W + T1X;
Chris@19 570 T2E = T2C - T2D;
Chris@19 571 {
Chris@19 572 E T1V, T1Y, T22, T23;
Chris@19 573 T1V = T19 - T1e;
Chris@19 574 T1Y = T1W - T1X;
Chris@19 575 T1Z = T1V - T1Y;
Chris@19 576 T2j = T1V + T1Y;
Chris@19 577 T22 = T20 - T21;
Chris@19 578 T23 = T1k - T1p;
Chris@19 579 T24 = T22 + T23;
Chris@19 580 T2k = T22 - T23;
Chris@19 581 }
Chris@19 582 }
Chris@19 583 {
Chris@19 584 E TM, T1K, T12, T1R, TR, T1L, TX, T1Q;
Chris@19 585 {
Chris@19 586 E TJ, TL, TI, TK;
Chris@19 587 TJ = ri[WS(rs, 1)];
Chris@19 588 TL = ii[WS(rs, 1)];
Chris@19 589 TI = W[0];
Chris@19 590 TK = W[1];
Chris@19 591 TM = FMA(TI, TJ, TK * TL);
Chris@19 592 T1K = FNMS(TK, TJ, TI * TL);
Chris@19 593 }
Chris@19 594 {
Chris@19 595 E TZ, T11, TY, T10;
Chris@19 596 TZ = ri[WS(rs, 13)];
Chris@19 597 T11 = ii[WS(rs, 13)];
Chris@19 598 TY = W[24];
Chris@19 599 T10 = W[25];
Chris@19 600 T12 = FMA(TY, TZ, T10 * T11);
Chris@19 601 T1R = FNMS(T10, TZ, TY * T11);
Chris@19 602 }
Chris@19 603 {
Chris@19 604 E TO, TQ, TN, TP;
Chris@19 605 TO = ri[WS(rs, 9)];
Chris@19 606 TQ = ii[WS(rs, 9)];
Chris@19 607 TN = W[16];
Chris@19 608 TP = W[17];
Chris@19 609 TR = FMA(TN, TO, TP * TQ);
Chris@19 610 T1L = FNMS(TP, TO, TN * TQ);
Chris@19 611 }
Chris@19 612 {
Chris@19 613 E TU, TW, TT, TV;
Chris@19 614 TU = ri[WS(rs, 5)];
Chris@19 615 TW = ii[WS(rs, 5)];
Chris@19 616 TT = W[8];
Chris@19 617 TV = W[9];
Chris@19 618 TX = FMA(TT, TU, TV * TW);
Chris@19 619 T1Q = FNMS(TV, TU, TT * TW);
Chris@19 620 }
Chris@19 621 TS = TM + TR;
Chris@19 622 T13 = TX + T12;
Chris@19 623 T2w = TS - T13;
Chris@19 624 T2x = T1K + T1L;
Chris@19 625 T2y = T1Q + T1R;
Chris@19 626 T2z = T2x - T2y;
Chris@19 627 {
Chris@19 628 E T1M, T1N, T1P, T1S;
Chris@19 629 T1M = T1K - T1L;
Chris@19 630 T1N = TX - T12;
Chris@19 631 T1O = T1M + T1N;
Chris@19 632 T2g = T1M - T1N;
Chris@19 633 T1P = TM - TR;
Chris@19 634 T1S = T1Q - T1R;
Chris@19 635 T1T = T1P - T1S;
Chris@19 636 T2h = T1P + T1S;
Chris@19 637 }
Chris@19 638 }
Chris@19 639 {
Chris@19 640 E T1J, T27, T3g, T3i, T26, T3h, T2a, T3d;
Chris@19 641 {
Chris@19 642 E T1x, T1I, T3e, T3f;
Chris@19 643 T1x = T1t - T1w;
Chris@19 644 T1I = KP707106781 * (T1C - T1H);
Chris@19 645 T1J = T1x + T1I;
Chris@19 646 T27 = T1x - T1I;
Chris@19 647 T3e = KP707106781 * (T2d - T2c);
Chris@19 648 T3f = T38 + T37;
Chris@19 649 T3g = T3e + T3f;
Chris@19 650 T3i = T3f - T3e;
Chris@19 651 }
Chris@19 652 {
Chris@19 653 E T1U, T25, T28, T29;
Chris@19 654 T1U = FMA(KP923879532, T1O, KP382683432 * T1T);
Chris@19 655 T25 = FNMS(KP923879532, T24, KP382683432 * T1Z);
Chris@19 656 T26 = T1U + T25;
Chris@19 657 T3h = T25 - T1U;
Chris@19 658 T28 = FNMS(KP923879532, T1T, KP382683432 * T1O);
Chris@19 659 T29 = FMA(KP382683432, T24, KP923879532 * T1Z);
Chris@19 660 T2a = T28 - T29;
Chris@19 661 T3d = T28 + T29;
Chris@19 662 }
Chris@19 663 ri[WS(rs, 11)] = T1J - T26;
Chris@19 664 ii[WS(rs, 11)] = T3g - T3d;
Chris@19 665 ri[WS(rs, 3)] = T1J + T26;
Chris@19 666 ii[WS(rs, 3)] = T3d + T3g;
Chris@19 667 ri[WS(rs, 15)] = T27 - T2a;
Chris@19 668 ii[WS(rs, 15)] = T3i - T3h;
Chris@19 669 ri[WS(rs, 7)] = T27 + T2a;
Chris@19 670 ii[WS(rs, 7)] = T3h + T3i;
Chris@19 671 }
Chris@19 672 {
Chris@19 673 E T2v, T2H, T32, T34, T2G, T33, T2K, T2Z;
Chris@19 674 {
Chris@19 675 E T2r, T2u, T30, T31;
Chris@19 676 T2r = T7 - Ti;
Chris@19 677 T2u = T2s - T2t;
Chris@19 678 T2v = T2r + T2u;
Chris@19 679 T2H = T2r - T2u;
Chris@19 680 T30 = TF - Tu;
Chris@19 681 T31 = T2U - T2R;
Chris@19 682 T32 = T30 + T31;
Chris@19 683 T34 = T31 - T30;
Chris@19 684 }
Chris@19 685 {
Chris@19 686 E T2A, T2F, T2I, T2J;
Chris@19 687 T2A = T2w + T2z;
Chris@19 688 T2F = T2B - T2E;
Chris@19 689 T2G = KP707106781 * (T2A + T2F);
Chris@19 690 T33 = KP707106781 * (T2F - T2A);
Chris@19 691 T2I = T2z - T2w;
Chris@19 692 T2J = T2B + T2E;
Chris@19 693 T2K = KP707106781 * (T2I - T2J);
Chris@19 694 T2Z = KP707106781 * (T2I + T2J);
Chris@19 695 }
Chris@19 696 ri[WS(rs, 10)] = T2v - T2G;
Chris@19 697 ii[WS(rs, 10)] = T32 - T2Z;
Chris@19 698 ri[WS(rs, 2)] = T2v + T2G;
Chris@19 699 ii[WS(rs, 2)] = T2Z + T32;
Chris@19 700 ri[WS(rs, 14)] = T2H - T2K;
Chris@19 701 ii[WS(rs, 14)] = T34 - T33;
Chris@19 702 ri[WS(rs, 6)] = T2H + T2K;
Chris@19 703 ii[WS(rs, 6)] = T33 + T34;
Chris@19 704 }
Chris@19 705 {
Chris@19 706 E T2f, T2n, T3a, T3c, T2m, T3b, T2q, T35;
Chris@19 707 {
Chris@19 708 E T2b, T2e, T36, T39;
Chris@19 709 T2b = T1t + T1w;
Chris@19 710 T2e = KP707106781 * (T2c + T2d);
Chris@19 711 T2f = T2b + T2e;
Chris@19 712 T2n = T2b - T2e;
Chris@19 713 T36 = KP707106781 * (T1C + T1H);
Chris@19 714 T39 = T37 - T38;
Chris@19 715 T3a = T36 + T39;
Chris@19 716 T3c = T39 - T36;
Chris@19 717 }
Chris@19 718 {
Chris@19 719 E T2i, T2l, T2o, T2p;
Chris@19 720 T2i = FMA(KP382683432, T2g, KP923879532 * T2h);
Chris@19 721 T2l = FNMS(KP382683432, T2k, KP923879532 * T2j);
Chris@19 722 T2m = T2i + T2l;
Chris@19 723 T3b = T2l - T2i;
Chris@19 724 T2o = FNMS(KP382683432, T2h, KP923879532 * T2g);
Chris@19 725 T2p = FMA(KP923879532, T2k, KP382683432 * T2j);
Chris@19 726 T2q = T2o - T2p;
Chris@19 727 T35 = T2o + T2p;
Chris@19 728 }
Chris@19 729 ri[WS(rs, 9)] = T2f - T2m;
Chris@19 730 ii[WS(rs, 9)] = T3a - T35;
Chris@19 731 ri[WS(rs, 1)] = T2f + T2m;
Chris@19 732 ii[WS(rs, 1)] = T35 + T3a;
Chris@19 733 ri[WS(rs, 13)] = T2n - T2q;
Chris@19 734 ii[WS(rs, 13)] = T3c - T3b;
Chris@19 735 ri[WS(rs, 5)] = T2n + T2q;
Chris@19 736 ii[WS(rs, 5)] = T3b + T3c;
Chris@19 737 }
Chris@19 738 {
Chris@19 739 E TH, T2L, T2W, T2Y, T1s, T2X, T2O, T2P;
Chris@19 740 {
Chris@19 741 E Tj, TG, T2Q, T2V;
Chris@19 742 Tj = T7 + Ti;
Chris@19 743 TG = Tu + TF;
Chris@19 744 TH = Tj + TG;
Chris@19 745 T2L = Tj - TG;
Chris@19 746 T2Q = T2s + T2t;
Chris@19 747 T2V = T2R + T2U;
Chris@19 748 T2W = T2Q + T2V;
Chris@19 749 T2Y = T2V - T2Q;
Chris@19 750 }
Chris@19 751 {
Chris@19 752 E T14, T1r, T2M, T2N;
Chris@19 753 T14 = TS + T13;
Chris@19 754 T1r = T1f + T1q;
Chris@19 755 T1s = T14 + T1r;
Chris@19 756 T2X = T1r - T14;
Chris@19 757 T2M = T2x + T2y;
Chris@19 758 T2N = T2C + T2D;
Chris@19 759 T2O = T2M - T2N;
Chris@19 760 T2P = T2M + T2N;
Chris@19 761 }
Chris@19 762 ri[WS(rs, 8)] = TH - T1s;
Chris@19 763 ii[WS(rs, 8)] = T2W - T2P;
Chris@19 764 ri[0] = TH + T1s;
Chris@19 765 ii[0] = T2P + T2W;
Chris@19 766 ri[WS(rs, 12)] = T2L - T2O;
Chris@19 767 ii[WS(rs, 12)] = T2Y - T2X;
Chris@19 768 ri[WS(rs, 4)] = T2L + T2O;
Chris@19 769 ii[WS(rs, 4)] = T2X + T2Y;
Chris@19 770 }
Chris@19 771 }
Chris@19 772 }
Chris@19 773 }
Chris@19 774
Chris@19 775 static const tw_instr twinstr[] = {
Chris@19 776 {TW_FULL, 0, 16},
Chris@19 777 {TW_NEXT, 1, 0}
Chris@19 778 };
Chris@19 779
Chris@19 780 static const ct_desc desc = { 16, "t1_16", twinstr, &GENUS, {136, 46, 38, 0}, 0, 0, 0 };
Chris@19 781
Chris@19 782 void X(codelet_t1_16) (planner *p) {
Chris@19 783 X(kdft_dit_register) (p, t1_16, &desc);
Chris@19 784 }
Chris@19 785 #endif /* HAVE_FMA */