annotate src/fftw-3.3.5/rdft/scalar/r2cf/hf2_16.c @ 148:b4bfdf10c4b3

Update Win64 capnp builds to v0.6
author Chris Cannam <cannam@all-day-breakfast.com>
date Mon, 22 May 2017 18:56:49 +0100
parents 7867fa7e1b6b
children
rev   line source
cannam@127 1 /*
cannam@127 2 * Copyright (c) 2003, 2007-14 Matteo Frigo
cannam@127 3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
cannam@127 4 *
cannam@127 5 * This program is free software; you can redistribute it and/or modify
cannam@127 6 * it under the terms of the GNU General Public License as published by
cannam@127 7 * the Free Software Foundation; either version 2 of the License, or
cannam@127 8 * (at your option) any later version.
cannam@127 9 *
cannam@127 10 * This program is distributed in the hope that it will be useful,
cannam@127 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
cannam@127 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
cannam@127 13 * GNU General Public License for more details.
cannam@127 14 *
cannam@127 15 * You should have received a copy of the GNU General Public License
cannam@127 16 * along with this program; if not, write to the Free Software
cannam@127 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
cannam@127 18 *
cannam@127 19 */
cannam@127 20
cannam@127 21 /* This file was automatically generated --- DO NOT EDIT */
cannam@127 22 /* Generated on Sat Jul 30 16:46:49 EDT 2016 */
cannam@127 23
cannam@127 24 #include "codelet-rdft.h"
cannam@127 25
cannam@127 26 #ifdef HAVE_FMA
cannam@127 27
cannam@127 28 /* Generated by: ../../../genfft/gen_hc2hc.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 16 -dit -name hf2_16 -include hf.h */
cannam@127 29
cannam@127 30 /*
cannam@127 31 * This function contains 196 FP additions, 134 FP multiplications,
cannam@127 32 * (or, 104 additions, 42 multiplications, 92 fused multiply/add),
cannam@127 33 * 106 stack variables, 3 constants, and 64 memory accesses
cannam@127 34 */
cannam@127 35 #include "hf.h"
cannam@127 36
cannam@127 37 static void hf2_16(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
cannam@127 38 {
cannam@127 39 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
cannam@127 40 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
cannam@127 41 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
cannam@127 42 {
cannam@127 43 INT m;
cannam@127 44 for (m = mb, W = W + ((mb - 1) * 8); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 8, MAKE_VOLATILE_STRIDE(32, rs)) {
cannam@127 45 E T35, T32;
cannam@127 46 {
cannam@127 47 E T2, Tf, TM, TO, T3, Tg, TN, TS, T4, Tp, T6, T5, Th;
cannam@127 48 T2 = W[0];
cannam@127 49 Tf = W[2];
cannam@127 50 TM = W[6];
cannam@127 51 TO = W[7];
cannam@127 52 T3 = W[4];
cannam@127 53 Tg = T2 * Tf;
cannam@127 54 TN = T2 * TM;
cannam@127 55 TS = T2 * TO;
cannam@127 56 T4 = T2 * T3;
cannam@127 57 Tp = Tf * T3;
cannam@127 58 T6 = W[5];
cannam@127 59 T5 = W[1];
cannam@127 60 Th = W[3];
cannam@127 61 {
cannam@127 62 E TZ, Te, T1U, T3A, T3M, T2w, T1G, T2I, T3h, T1R, T2D, T2B, T3i, Tx, T3L;
cannam@127 63 E T1Z, T3w, TL, T21, T26, T38, T1d, T2h, T2s, T3c, T1s, T2t, T2m, T3d, TX;
cannam@127 64 E T10, TV, T2a, TY, T2b;
cannam@127 65 {
cannam@127 66 E TF, TP, TT, Tq, TW, Tz, Tu, TI, TC, T1m, T1f, T1p, T1j, Tr, Ts;
cannam@127 67 E Tv, To, T1W;
cannam@127 68 {
cannam@127 69 E Ti, Tm, T1L, T1O, T1D, T1A, T1x, T2G, T1F, T2F;
cannam@127 70 {
cannam@127 71 E T1, T7, Tb, T3z, T8, T1z, T9, Tc;
cannam@127 72 {
cannam@127 73 E T1i, T1e, T1C, T1y, Tt, Ta, Tl;
cannam@127 74 T1 = cr[0];
cannam@127 75 Tt = Tf * T6;
cannam@127 76 Ta = T2 * T6;
cannam@127 77 T7 = FMA(T5, T6, T4);
cannam@127 78 TF = FNMS(T5, T6, T4);
cannam@127 79 TP = FMA(T5, TO, TN);
cannam@127 80 TT = FNMS(T5, TM, TS);
cannam@127 81 Tq = FNMS(Th, T6, Tp);
cannam@127 82 TW = FMA(Th, T6, Tp);
cannam@127 83 Tz = FMA(T5, Th, Tg);
cannam@127 84 Ti = FNMS(T5, Th, Tg);
cannam@127 85 Tl = T2 * Th;
cannam@127 86 Tu = FMA(Th, T3, Tt);
cannam@127 87 TZ = FNMS(Th, T3, Tt);
cannam@127 88 TI = FMA(T5, T3, Ta);
cannam@127 89 Tb = FNMS(T5, T3, Ta);
cannam@127 90 T1i = Ti * T6;
cannam@127 91 T1e = Ti * T3;
cannam@127 92 T1C = Tz * T6;
cannam@127 93 T1y = Tz * T3;
cannam@127 94 Tm = FMA(T5, Tf, Tl);
cannam@127 95 TC = FNMS(T5, Tf, Tl);
cannam@127 96 T3z = ci[0];
cannam@127 97 T8 = cr[WS(rs, 8)];
cannam@127 98 T1m = FNMS(Tm, T6, T1e);
cannam@127 99 T1f = FMA(Tm, T6, T1e);
cannam@127 100 T1p = FMA(Tm, T3, T1i);
cannam@127 101 T1j = FNMS(Tm, T3, T1i);
cannam@127 102 T1L = FNMS(TC, T6, T1y);
cannam@127 103 T1z = FMA(TC, T6, T1y);
cannam@127 104 T1O = FMA(TC, T3, T1C);
cannam@127 105 T1D = FNMS(TC, T3, T1C);
cannam@127 106 T9 = T7 * T8;
cannam@127 107 Tc = ci[WS(rs, 8)];
cannam@127 108 }
cannam@127 109 {
cannam@127 110 E T1u, T1w, T1v, T2E, T3y, T1B, T1E, Td, T3x;
cannam@127 111 T1u = cr[WS(rs, 15)];
cannam@127 112 T1w = ci[WS(rs, 15)];
cannam@127 113 T1A = cr[WS(rs, 7)];
cannam@127 114 Td = FMA(Tb, Tc, T9);
cannam@127 115 T3x = T7 * Tc;
cannam@127 116 T1v = TM * T1u;
cannam@127 117 T2E = TM * T1w;
cannam@127 118 Te = T1 + Td;
cannam@127 119 T1U = T1 - Td;
cannam@127 120 T3y = FNMS(Tb, T8, T3x);
cannam@127 121 T1B = T1z * T1A;
cannam@127 122 T1E = ci[WS(rs, 7)];
cannam@127 123 T1x = FMA(TO, T1w, T1v);
cannam@127 124 T3A = T3y + T3z;
cannam@127 125 T3M = T3z - T3y;
cannam@127 126 T2G = T1z * T1E;
cannam@127 127 T1F = FMA(T1D, T1E, T1B);
cannam@127 128 T2F = FNMS(TO, T1u, T2E);
cannam@127 129 }
cannam@127 130 }
cannam@127 131 {
cannam@127 132 E T1H, T1I, T1J, T1M, T1P, T2H;
cannam@127 133 T1H = cr[WS(rs, 3)];
cannam@127 134 T2H = FNMS(T1D, T1A, T2G);
cannam@127 135 T2w = T1x - T1F;
cannam@127 136 T1G = T1x + T1F;
cannam@127 137 T1I = Tf * T1H;
cannam@127 138 T2I = T2F - T2H;
cannam@127 139 T3h = T2F + T2H;
cannam@127 140 T1J = ci[WS(rs, 3)];
cannam@127 141 T1M = cr[WS(rs, 11)];
cannam@127 142 T1P = ci[WS(rs, 11)];
cannam@127 143 {
cannam@127 144 E Tj, Tk, Tn, T1V;
cannam@127 145 {
cannam@127 146 E T1K, T2y, T1Q, T2A, T2x, T1N, T2z;
cannam@127 147 Tj = cr[WS(rs, 4)];
cannam@127 148 T1K = FMA(Th, T1J, T1I);
cannam@127 149 T2x = Tf * T1J;
cannam@127 150 T1N = T1L * T1M;
cannam@127 151 T2z = T1L * T1P;
cannam@127 152 Tk = Ti * Tj;
cannam@127 153 T2y = FNMS(Th, T1H, T2x);
cannam@127 154 T1Q = FMA(T1O, T1P, T1N);
cannam@127 155 T2A = FNMS(T1O, T1M, T2z);
cannam@127 156 Tn = ci[WS(rs, 4)];
cannam@127 157 Tr = cr[WS(rs, 12)];
cannam@127 158 T1R = T1K + T1Q;
cannam@127 159 T2D = T1Q - T1K;
cannam@127 160 T2B = T2y - T2A;
cannam@127 161 T3i = T2y + T2A;
cannam@127 162 T1V = Ti * Tn;
cannam@127 163 Ts = Tq * Tr;
cannam@127 164 Tv = ci[WS(rs, 12)];
cannam@127 165 }
cannam@127 166 To = FMA(Tm, Tn, Tk);
cannam@127 167 T1W = FNMS(Tm, Tj, T1V);
cannam@127 168 }
cannam@127 169 }
cannam@127 170 }
cannam@127 171 {
cannam@127 172 E T19, T1b, T18, T2p, T1a, T2q;
cannam@127 173 {
cannam@127 174 E TE, T23, TK, T25;
cannam@127 175 {
cannam@127 176 E TA, TD, TB, T22, TG, TJ, TH, T24, T1Y, Tw, T1X;
cannam@127 177 TA = cr[WS(rs, 2)];
cannam@127 178 Tw = FMA(Tu, Tv, Ts);
cannam@127 179 T1X = Tq * Tv;
cannam@127 180 TD = ci[WS(rs, 2)];
cannam@127 181 TB = Tz * TA;
cannam@127 182 Tx = To + Tw;
cannam@127 183 T3L = To - Tw;
cannam@127 184 T1Y = FNMS(Tu, Tr, T1X);
cannam@127 185 T22 = Tz * TD;
cannam@127 186 TG = cr[WS(rs, 10)];
cannam@127 187 TJ = ci[WS(rs, 10)];
cannam@127 188 T1Z = T1W - T1Y;
cannam@127 189 T3w = T1W + T1Y;
cannam@127 190 TH = TF * TG;
cannam@127 191 T24 = TF * TJ;
cannam@127 192 TE = FMA(TC, TD, TB);
cannam@127 193 T23 = FNMS(TC, TA, T22);
cannam@127 194 TK = FMA(TI, TJ, TH);
cannam@127 195 T25 = FNMS(TI, TG, T24);
cannam@127 196 }
cannam@127 197 {
cannam@127 198 E T15, T17, T16, T2o;
cannam@127 199 T15 = cr[WS(rs, 1)];
cannam@127 200 T17 = ci[WS(rs, 1)];
cannam@127 201 TL = TE + TK;
cannam@127 202 T21 = TE - TK;
cannam@127 203 T26 = T23 - T25;
cannam@127 204 T38 = T23 + T25;
cannam@127 205 T16 = T2 * T15;
cannam@127 206 T2o = T2 * T17;
cannam@127 207 T19 = cr[WS(rs, 9)];
cannam@127 208 T1b = ci[WS(rs, 9)];
cannam@127 209 T18 = FMA(T5, T17, T16);
cannam@127 210 T2p = FNMS(T5, T15, T2o);
cannam@127 211 T1a = T3 * T19;
cannam@127 212 T2q = T3 * T1b;
cannam@127 213 }
cannam@127 214 }
cannam@127 215 {
cannam@127 216 E T1n, T1q, T1l, T2j, T1o, T2k;
cannam@127 217 {
cannam@127 218 E T1g, T1k, T1h, T2i, T1c, T2r;
cannam@127 219 T1g = cr[WS(rs, 5)];
cannam@127 220 T1k = ci[WS(rs, 5)];
cannam@127 221 T1c = FMA(T6, T1b, T1a);
cannam@127 222 T2r = FNMS(T6, T19, T2q);
cannam@127 223 T1h = T1f * T1g;
cannam@127 224 T2i = T1f * T1k;
cannam@127 225 T1d = T18 + T1c;
cannam@127 226 T2h = T18 - T1c;
cannam@127 227 T2s = T2p - T2r;
cannam@127 228 T3c = T2p + T2r;
cannam@127 229 T1n = cr[WS(rs, 13)];
cannam@127 230 T1q = ci[WS(rs, 13)];
cannam@127 231 T1l = FMA(T1j, T1k, T1h);
cannam@127 232 T2j = FNMS(T1j, T1g, T2i);
cannam@127 233 T1o = T1m * T1n;
cannam@127 234 T2k = T1m * T1q;
cannam@127 235 }
cannam@127 236 {
cannam@127 237 E TQ, TU, TR, T29, T1r, T2l;
cannam@127 238 TQ = cr[WS(rs, 14)];
cannam@127 239 TU = ci[WS(rs, 14)];
cannam@127 240 T1r = FMA(T1p, T1q, T1o);
cannam@127 241 T2l = FNMS(T1p, T1n, T2k);
cannam@127 242 TR = TP * TQ;
cannam@127 243 T29 = TP * TU;
cannam@127 244 T1s = T1l + T1r;
cannam@127 245 T2t = T1l - T1r;
cannam@127 246 T2m = T2j - T2l;
cannam@127 247 T3d = T2j + T2l;
cannam@127 248 TX = cr[WS(rs, 6)];
cannam@127 249 T10 = ci[WS(rs, 6)];
cannam@127 250 TV = FMA(TT, TU, TR);
cannam@127 251 T2a = FNMS(TT, TQ, T29);
cannam@127 252 TY = TW * TX;
cannam@127 253 T2b = TW * T10;
cannam@127 254 }
cannam@127 255 }
cannam@127 256 }
cannam@127 257 }
cannam@127 258 {
cannam@127 259 E T36, T3G, T3b, T3g, T28, T2d, T3F, T39, T3j, T3q, T3C, T3e, T3u, T3t;
cannam@127 260 {
cannam@127 261 E T3D, T1T, T3r, T14, T3E, T3s;
cannam@127 262 {
cannam@127 263 E Ty, T3B, T11, T2c, T13, T3v;
cannam@127 264 T36 = Te - Tx;
cannam@127 265 Ty = Te + Tx;
cannam@127 266 T3B = T3w + T3A;
cannam@127 267 T3G = T3A - T3w;
cannam@127 268 T11 = FMA(TZ, T10, TY);
cannam@127 269 T2c = FNMS(TZ, TX, T2b);
cannam@127 270 {
cannam@127 271 E T1t, T1S, T12, T37;
cannam@127 272 T3b = T1d - T1s;
cannam@127 273 T1t = T1d + T1s;
cannam@127 274 T1S = T1G + T1R;
cannam@127 275 T3g = T1G - T1R;
cannam@127 276 T12 = TV + T11;
cannam@127 277 T28 = TV - T11;
cannam@127 278 T2d = T2a - T2c;
cannam@127 279 T37 = T2a + T2c;
cannam@127 280 T3D = T1S - T1t;
cannam@127 281 T1T = T1t + T1S;
cannam@127 282 T13 = TL + T12;
cannam@127 283 T3F = TL - T12;
cannam@127 284 T39 = T37 - T38;
cannam@127 285 T3v = T38 + T37;
cannam@127 286 }
cannam@127 287 T3j = T3h - T3i;
cannam@127 288 T3r = T3h + T3i;
cannam@127 289 T3q = Ty - T13;
cannam@127 290 T14 = Ty + T13;
cannam@127 291 T3E = T3B - T3v;
cannam@127 292 T3C = T3v + T3B;
cannam@127 293 T3s = T3c + T3d;
cannam@127 294 T3e = T3c - T3d;
cannam@127 295 }
cannam@127 296 ci[WS(rs, 7)] = T14 - T1T;
cannam@127 297 cr[WS(rs, 12)] = T3D - T3E;
cannam@127 298 ci[WS(rs, 11)] = T3D + T3E;
cannam@127 299 T3u = T3s + T3r;
cannam@127 300 T3t = T3r - T3s;
cannam@127 301 cr[0] = T14 + T1T;
cannam@127 302 }
cannam@127 303 {
cannam@127 304 E T3m, T3a, T3J, T3H;
cannam@127 305 ci[WS(rs, 15)] = T3u + T3C;
cannam@127 306 cr[WS(rs, 8)] = T3u - T3C;
cannam@127 307 ci[WS(rs, 3)] = T3q + T3t;
cannam@127 308 cr[WS(rs, 4)] = T3q - T3t;
cannam@127 309 T3m = T36 + T39;
cannam@127 310 T3a = T36 - T39;
cannam@127 311 T3J = T3G - T3F;
cannam@127 312 T3H = T3F + T3G;
cannam@127 313 {
cannam@127 314 E T2Q, T20, T3N, T3T, T2C, T2J, T3U, T2f, T33, T30, T2V, T2W, T3O, T2T, T2N;
cannam@127 315 E T2v;
cannam@127 316 {
cannam@127 317 E T2R, T27, T2e, T2S;
cannam@127 318 {
cannam@127 319 E T3n, T3f, T3o, T3k;
cannam@127 320 T2Q = T1U + T1Z;
cannam@127 321 T20 = T1U - T1Z;
cannam@127 322 T3n = T3b - T3e;
cannam@127 323 T3f = T3b + T3e;
cannam@127 324 T3o = T3g + T3j;
cannam@127 325 T3k = T3g - T3j;
cannam@127 326 T3N = T3L + T3M;
cannam@127 327 T3T = T3M - T3L;
cannam@127 328 {
cannam@127 329 E T3p, T3K, T3I, T3l;
cannam@127 330 T3p = T3n + T3o;
cannam@127 331 T3K = T3o - T3n;
cannam@127 332 T3I = T3k - T3f;
cannam@127 333 T3l = T3f + T3k;
cannam@127 334 ci[WS(rs, 1)] = FMA(KP707106781, T3p, T3m);
cannam@127 335 cr[WS(rs, 6)] = FNMS(KP707106781, T3p, T3m);
cannam@127 336 ci[WS(rs, 13)] = FMA(KP707106781, T3K, T3J);
cannam@127 337 cr[WS(rs, 10)] = FMS(KP707106781, T3K, T3J);
cannam@127 338 ci[WS(rs, 9)] = FMA(KP707106781, T3I, T3H);
cannam@127 339 cr[WS(rs, 14)] = FMS(KP707106781, T3I, T3H);
cannam@127 340 cr[WS(rs, 2)] = FMA(KP707106781, T3l, T3a);
cannam@127 341 ci[WS(rs, 5)] = FNMS(KP707106781, T3l, T3a);
cannam@127 342 T2R = T21 + T26;
cannam@127 343 T27 = T21 - T26;
cannam@127 344 T2e = T28 + T2d;
cannam@127 345 T2S = T28 - T2d;
cannam@127 346 }
cannam@127 347 }
cannam@127 348 {
cannam@127 349 E T2Y, T2Z, T2n, T2u;
cannam@127 350 T2C = T2w - T2B;
cannam@127 351 T2Y = T2w + T2B;
cannam@127 352 T2Z = T2I + T2D;
cannam@127 353 T2J = T2D - T2I;
cannam@127 354 T3U = T2e - T27;
cannam@127 355 T2f = T27 + T2e;
cannam@127 356 T33 = FMA(KP414213562, T2Y, T2Z);
cannam@127 357 T30 = FNMS(KP414213562, T2Z, T2Y);
cannam@127 358 T2V = T2h + T2m;
cannam@127 359 T2n = T2h - T2m;
cannam@127 360 T2u = T2s + T2t;
cannam@127 361 T2W = T2s - T2t;
cannam@127 362 T3O = T2R - T2S;
cannam@127 363 T2T = T2R + T2S;
cannam@127 364 T2N = FMA(KP414213562, T2n, T2u);
cannam@127 365 T2v = FNMS(KP414213562, T2u, T2n);
cannam@127 366 }
cannam@127 367 }
cannam@127 368 {
cannam@127 369 E T2M, T3S, T31, T2P, T3Q, T3R, T3P, T2U;
cannam@127 370 {
cannam@127 371 E T2g, T2X, T2O, T2K, T3V, T3X, T3W, T34, T2L, T3Y;
cannam@127 372 T2M = FNMS(KP707106781, T2f, T20);
cannam@127 373 T2g = FMA(KP707106781, T2f, T20);
cannam@127 374 T34 = FNMS(KP414213562, T2V, T2W);
cannam@127 375 T2X = FMA(KP414213562, T2W, T2V);
cannam@127 376 T2O = FMA(KP414213562, T2C, T2J);
cannam@127 377 T2K = FNMS(KP414213562, T2J, T2C);
cannam@127 378 T3V = FMA(KP707106781, T3U, T3T);
cannam@127 379 T3X = FNMS(KP707106781, T3U, T3T);
cannam@127 380 T35 = T33 - T34;
cannam@127 381 T3W = T34 + T33;
cannam@127 382 T3S = T2K - T2v;
cannam@127 383 T2L = T2v + T2K;
cannam@127 384 T3Y = T30 - T2X;
cannam@127 385 T31 = T2X + T30;
cannam@127 386 ci[WS(rs, 14)] = FMA(KP923879532, T3W, T3V);
cannam@127 387 cr[WS(rs, 9)] = FMS(KP923879532, T3W, T3V);
cannam@127 388 ci[0] = FMA(KP923879532, T2L, T2g);
cannam@127 389 cr[WS(rs, 7)] = FNMS(KP923879532, T2L, T2g);
cannam@127 390 cr[WS(rs, 13)] = FMS(KP923879532, T3Y, T3X);
cannam@127 391 ci[WS(rs, 10)] = FMA(KP923879532, T3Y, T3X);
cannam@127 392 T2P = T2N + T2O;
cannam@127 393 T3Q = T2O - T2N;
cannam@127 394 }
cannam@127 395 T32 = FNMS(KP707106781, T2T, T2Q);
cannam@127 396 T2U = FMA(KP707106781, T2T, T2Q);
cannam@127 397 T3R = FNMS(KP707106781, T3O, T3N);
cannam@127 398 T3P = FMA(KP707106781, T3O, T3N);
cannam@127 399 cr[WS(rs, 3)] = FMA(KP923879532, T2P, T2M);
cannam@127 400 ci[WS(rs, 4)] = FNMS(KP923879532, T2P, T2M);
cannam@127 401 cr[WS(rs, 1)] = FMA(KP923879532, T31, T2U);
cannam@127 402 ci[WS(rs, 6)] = FNMS(KP923879532, T31, T2U);
cannam@127 403 ci[WS(rs, 8)] = FMA(KP923879532, T3Q, T3P);
cannam@127 404 cr[WS(rs, 15)] = FMS(KP923879532, T3Q, T3P);
cannam@127 405 ci[WS(rs, 12)] = FMA(KP923879532, T3S, T3R);
cannam@127 406 cr[WS(rs, 11)] = FMS(KP923879532, T3S, T3R);
cannam@127 407 }
cannam@127 408 }
cannam@127 409 }
cannam@127 410 }
cannam@127 411 }
cannam@127 412 }
cannam@127 413 ci[WS(rs, 2)] = FMA(KP923879532, T35, T32);
cannam@127 414 cr[WS(rs, 5)] = FNMS(KP923879532, T35, T32);
cannam@127 415 }
cannam@127 416 }
cannam@127 417 }
cannam@127 418
cannam@127 419 static const tw_instr twinstr[] = {
cannam@127 420 {TW_CEXP, 1, 1},
cannam@127 421 {TW_CEXP, 1, 3},
cannam@127 422 {TW_CEXP, 1, 9},
cannam@127 423 {TW_CEXP, 1, 15},
cannam@127 424 {TW_NEXT, 1, 0}
cannam@127 425 };
cannam@127 426
cannam@127 427 static const hc2hc_desc desc = { 16, "hf2_16", twinstr, &GENUS, {104, 42, 92, 0} };
cannam@127 428
cannam@127 429 void X(codelet_hf2_16) (planner *p) {
cannam@127 430 X(khc2hc_register) (p, hf2_16, &desc);
cannam@127 431 }
cannam@127 432 #else /* HAVE_FMA */
cannam@127 433
cannam@127 434 /* Generated by: ../../../genfft/gen_hc2hc.native -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 16 -dit -name hf2_16 -include hf.h */
cannam@127 435
cannam@127 436 /*
cannam@127 437 * This function contains 196 FP additions, 108 FP multiplications,
cannam@127 438 * (or, 156 additions, 68 multiplications, 40 fused multiply/add),
cannam@127 439 * 82 stack variables, 3 constants, and 64 memory accesses
cannam@127 440 */
cannam@127 441 #include "hf.h"
cannam@127 442
cannam@127 443 static void hf2_16(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
cannam@127 444 {
cannam@127 445 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
cannam@127 446 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
cannam@127 447 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
cannam@127 448 {
cannam@127 449 INT m;
cannam@127 450 for (m = mb, W = W + ((mb - 1) * 8); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 8, MAKE_VOLATILE_STRIDE(32, rs)) {
cannam@127 451 E T2, T5, Tg, Ti, Tk, To, TE, TC, T6, T3, T8, TW, TJ, Tt, TU;
cannam@127 452 E Tc, Tx, TH, TN, TO, TP, TR, T1f, T1k, T1b, T1i, T1y, T1H, T1u, T1F;
cannam@127 453 {
cannam@127 454 E T7, Tv, Ta, Ts, T4, Tw, Tb, Tr;
cannam@127 455 {
cannam@127 456 E Th, Tn, Tj, Tm;
cannam@127 457 T2 = W[0];
cannam@127 458 T5 = W[1];
cannam@127 459 Tg = W[2];
cannam@127 460 Ti = W[3];
cannam@127 461 Th = T2 * Tg;
cannam@127 462 Tn = T5 * Tg;
cannam@127 463 Tj = T5 * Ti;
cannam@127 464 Tm = T2 * Ti;
cannam@127 465 Tk = Th - Tj;
cannam@127 466 To = Tm + Tn;
cannam@127 467 TE = Tm - Tn;
cannam@127 468 TC = Th + Tj;
cannam@127 469 T6 = W[5];
cannam@127 470 T7 = T5 * T6;
cannam@127 471 Tv = Tg * T6;
cannam@127 472 Ta = T2 * T6;
cannam@127 473 Ts = Ti * T6;
cannam@127 474 T3 = W[4];
cannam@127 475 T4 = T2 * T3;
cannam@127 476 Tw = Ti * T3;
cannam@127 477 Tb = T5 * T3;
cannam@127 478 Tr = Tg * T3;
cannam@127 479 }
cannam@127 480 T8 = T4 + T7;
cannam@127 481 TW = Tv - Tw;
cannam@127 482 TJ = Ta + Tb;
cannam@127 483 Tt = Tr - Ts;
cannam@127 484 TU = Tr + Ts;
cannam@127 485 Tc = Ta - Tb;
cannam@127 486 Tx = Tv + Tw;
cannam@127 487 TH = T4 - T7;
cannam@127 488 TN = W[6];
cannam@127 489 TO = W[7];
cannam@127 490 TP = FMA(T2, TN, T5 * TO);
cannam@127 491 TR = FNMS(T5, TN, T2 * TO);
cannam@127 492 {
cannam@127 493 E T1d, T1e, T19, T1a;
cannam@127 494 T1d = Tk * T6;
cannam@127 495 T1e = To * T3;
cannam@127 496 T1f = T1d - T1e;
cannam@127 497 T1k = T1d + T1e;
cannam@127 498 T19 = Tk * T3;
cannam@127 499 T1a = To * T6;
cannam@127 500 T1b = T19 + T1a;
cannam@127 501 T1i = T19 - T1a;
cannam@127 502 }
cannam@127 503 {
cannam@127 504 E T1w, T1x, T1s, T1t;
cannam@127 505 T1w = TC * T6;
cannam@127 506 T1x = TE * T3;
cannam@127 507 T1y = T1w - T1x;
cannam@127 508 T1H = T1w + T1x;
cannam@127 509 T1s = TC * T3;
cannam@127 510 T1t = TE * T6;
cannam@127 511 T1u = T1s + T1t;
cannam@127 512 T1F = T1s - T1t;
cannam@127 513 }
cannam@127 514 }
cannam@127 515 {
cannam@127 516 E Tf, T3s, T1N, T3e, TA, T3r, T1Q, T3b, TM, T2N, T1W, T2w, TZ, T2M, T21;
cannam@127 517 E T2x, T1B, T1K, T2V, T2W, T2X, T2Y, T2j, T2E, T2o, T2D, T18, T1n, T2Q, T2R;
cannam@127 518 E T2S, T2T, T28, T2B, T2d, T2A;
cannam@127 519 {
cannam@127 520 E T1, T3d, Te, T3c, T9, Td;
cannam@127 521 T1 = cr[0];
cannam@127 522 T3d = ci[0];
cannam@127 523 T9 = cr[WS(rs, 8)];
cannam@127 524 Td = ci[WS(rs, 8)];
cannam@127 525 Te = FMA(T8, T9, Tc * Td);
cannam@127 526 T3c = FNMS(Tc, T9, T8 * Td);
cannam@127 527 Tf = T1 + Te;
cannam@127 528 T3s = T3d - T3c;
cannam@127 529 T1N = T1 - Te;
cannam@127 530 T3e = T3c + T3d;
cannam@127 531 }
cannam@127 532 {
cannam@127 533 E Tq, T1O, Tz, T1P;
cannam@127 534 {
cannam@127 535 E Tl, Tp, Tu, Ty;
cannam@127 536 Tl = cr[WS(rs, 4)];
cannam@127 537 Tp = ci[WS(rs, 4)];
cannam@127 538 Tq = FMA(Tk, Tl, To * Tp);
cannam@127 539 T1O = FNMS(To, Tl, Tk * Tp);
cannam@127 540 Tu = cr[WS(rs, 12)];
cannam@127 541 Ty = ci[WS(rs, 12)];
cannam@127 542 Tz = FMA(Tt, Tu, Tx * Ty);
cannam@127 543 T1P = FNMS(Tx, Tu, Tt * Ty);
cannam@127 544 }
cannam@127 545 TA = Tq + Tz;
cannam@127 546 T3r = Tq - Tz;
cannam@127 547 T1Q = T1O - T1P;
cannam@127 548 T3b = T1O + T1P;
cannam@127 549 }
cannam@127 550 {
cannam@127 551 E TG, T1T, TL, T1U, T1S, T1V;
cannam@127 552 {
cannam@127 553 E TD, TF, TI, TK;
cannam@127 554 TD = cr[WS(rs, 2)];
cannam@127 555 TF = ci[WS(rs, 2)];
cannam@127 556 TG = FMA(TC, TD, TE * TF);
cannam@127 557 T1T = FNMS(TE, TD, TC * TF);
cannam@127 558 TI = cr[WS(rs, 10)];
cannam@127 559 TK = ci[WS(rs, 10)];
cannam@127 560 TL = FMA(TH, TI, TJ * TK);
cannam@127 561 T1U = FNMS(TJ, TI, TH * TK);
cannam@127 562 }
cannam@127 563 TM = TG + TL;
cannam@127 564 T2N = T1T + T1U;
cannam@127 565 T1S = TG - TL;
cannam@127 566 T1V = T1T - T1U;
cannam@127 567 T1W = T1S - T1V;
cannam@127 568 T2w = T1S + T1V;
cannam@127 569 }
cannam@127 570 {
cannam@127 571 E TT, T1Y, TY, T1Z, T1X, T20;
cannam@127 572 {
cannam@127 573 E TQ, TS, TV, TX;
cannam@127 574 TQ = cr[WS(rs, 14)];
cannam@127 575 TS = ci[WS(rs, 14)];
cannam@127 576 TT = FMA(TP, TQ, TR * TS);
cannam@127 577 T1Y = FNMS(TR, TQ, TP * TS);
cannam@127 578 TV = cr[WS(rs, 6)];
cannam@127 579 TX = ci[WS(rs, 6)];
cannam@127 580 TY = FMA(TU, TV, TW * TX);
cannam@127 581 T1Z = FNMS(TW, TV, TU * TX);
cannam@127 582 }
cannam@127 583 TZ = TT + TY;
cannam@127 584 T2M = T1Y + T1Z;
cannam@127 585 T1X = TT - TY;
cannam@127 586 T20 = T1Y - T1Z;
cannam@127 587 T21 = T1X + T20;
cannam@127 588 T2x = T1X - T20;
cannam@127 589 }
cannam@127 590 {
cannam@127 591 E T1r, T2f, T1J, T2m, T1A, T2g, T1E, T2l;
cannam@127 592 {
cannam@127 593 E T1p, T1q, T1G, T1I;
cannam@127 594 T1p = cr[WS(rs, 15)];
cannam@127 595 T1q = ci[WS(rs, 15)];
cannam@127 596 T1r = FMA(TN, T1p, TO * T1q);
cannam@127 597 T2f = FNMS(TO, T1p, TN * T1q);
cannam@127 598 T1G = cr[WS(rs, 11)];
cannam@127 599 T1I = ci[WS(rs, 11)];
cannam@127 600 T1J = FMA(T1F, T1G, T1H * T1I);
cannam@127 601 T2m = FNMS(T1H, T1G, T1F * T1I);
cannam@127 602 }
cannam@127 603 {
cannam@127 604 E T1v, T1z, T1C, T1D;
cannam@127 605 T1v = cr[WS(rs, 7)];
cannam@127 606 T1z = ci[WS(rs, 7)];
cannam@127 607 T1A = FMA(T1u, T1v, T1y * T1z);
cannam@127 608 T2g = FNMS(T1y, T1v, T1u * T1z);
cannam@127 609 T1C = cr[WS(rs, 3)];
cannam@127 610 T1D = ci[WS(rs, 3)];
cannam@127 611 T1E = FMA(Tg, T1C, Ti * T1D);
cannam@127 612 T2l = FNMS(Ti, T1C, Tg * T1D);
cannam@127 613 }
cannam@127 614 T1B = T1r + T1A;
cannam@127 615 T1K = T1E + T1J;
cannam@127 616 T2V = T1B - T1K;
cannam@127 617 T2W = T2f + T2g;
cannam@127 618 T2X = T2l + T2m;
cannam@127 619 T2Y = T2W - T2X;
cannam@127 620 {
cannam@127 621 E T2h, T2i, T2k, T2n;
cannam@127 622 T2h = T2f - T2g;
cannam@127 623 T2i = T1E - T1J;
cannam@127 624 T2j = T2h + T2i;
cannam@127 625 T2E = T2h - T2i;
cannam@127 626 T2k = T1r - T1A;
cannam@127 627 T2n = T2l - T2m;
cannam@127 628 T2o = T2k - T2n;
cannam@127 629 T2D = T2k + T2n;
cannam@127 630 }
cannam@127 631 }
cannam@127 632 {
cannam@127 633 E T14, T29, T1m, T26, T17, T2a, T1h, T25;
cannam@127 634 {
cannam@127 635 E T12, T13, T1j, T1l;
cannam@127 636 T12 = cr[WS(rs, 1)];
cannam@127 637 T13 = ci[WS(rs, 1)];
cannam@127 638 T14 = FMA(T2, T12, T5 * T13);
cannam@127 639 T29 = FNMS(T5, T12, T2 * T13);
cannam@127 640 T1j = cr[WS(rs, 13)];
cannam@127 641 T1l = ci[WS(rs, 13)];
cannam@127 642 T1m = FMA(T1i, T1j, T1k * T1l);
cannam@127 643 T26 = FNMS(T1k, T1j, T1i * T1l);
cannam@127 644 }
cannam@127 645 {
cannam@127 646 E T15, T16, T1c, T1g;
cannam@127 647 T15 = cr[WS(rs, 9)];
cannam@127 648 T16 = ci[WS(rs, 9)];
cannam@127 649 T17 = FMA(T3, T15, T6 * T16);
cannam@127 650 T2a = FNMS(T6, T15, T3 * T16);
cannam@127 651 T1c = cr[WS(rs, 5)];
cannam@127 652 T1g = ci[WS(rs, 5)];
cannam@127 653 T1h = FMA(T1b, T1c, T1f * T1g);
cannam@127 654 T25 = FNMS(T1f, T1c, T1b * T1g);
cannam@127 655 }
cannam@127 656 T18 = T14 + T17;
cannam@127 657 T1n = T1h + T1m;
cannam@127 658 T2Q = T18 - T1n;
cannam@127 659 T2R = T29 + T2a;
cannam@127 660 T2S = T25 + T26;
cannam@127 661 T2T = T2R - T2S;
cannam@127 662 {
cannam@127 663 E T24, T27, T2b, T2c;
cannam@127 664 T24 = T14 - T17;
cannam@127 665 T27 = T25 - T26;
cannam@127 666 T28 = T24 - T27;
cannam@127 667 T2B = T24 + T27;
cannam@127 668 T2b = T29 - T2a;
cannam@127 669 T2c = T1h - T1m;
cannam@127 670 T2d = T2b + T2c;
cannam@127 671 T2A = T2b - T2c;
cannam@127 672 }
cannam@127 673 }
cannam@127 674 {
cannam@127 675 E T23, T2r, T3u, T3w, T2q, T3v, T2u, T3p;
cannam@127 676 {
cannam@127 677 E T1R, T22, T3q, T3t;
cannam@127 678 T1R = T1N - T1Q;
cannam@127 679 T22 = KP707106781 * (T1W + T21);
cannam@127 680 T23 = T1R + T22;
cannam@127 681 T2r = T1R - T22;
cannam@127 682 T3q = KP707106781 * (T2w - T2x);
cannam@127 683 T3t = T3r + T3s;
cannam@127 684 T3u = T3q + T3t;
cannam@127 685 T3w = T3t - T3q;
cannam@127 686 }
cannam@127 687 {
cannam@127 688 E T2e, T2p, T2s, T2t;
cannam@127 689 T2e = FNMS(KP382683432, T2d, KP923879532 * T28);
cannam@127 690 T2p = FMA(KP382683432, T2j, KP923879532 * T2o);
cannam@127 691 T2q = T2e + T2p;
cannam@127 692 T3v = T2p - T2e;
cannam@127 693 T2s = FMA(KP923879532, T2d, KP382683432 * T28);
cannam@127 694 T2t = FNMS(KP923879532, T2j, KP382683432 * T2o);
cannam@127 695 T2u = T2s + T2t;
cannam@127 696 T3p = T2t - T2s;
cannam@127 697 }
cannam@127 698 cr[WS(rs, 7)] = T23 - T2q;
cannam@127 699 cr[WS(rs, 11)] = T3v - T3w;
cannam@127 700 ci[WS(rs, 12)] = T3v + T3w;
cannam@127 701 ci[0] = T23 + T2q;
cannam@127 702 ci[WS(rs, 4)] = T2r - T2u;
cannam@127 703 cr[WS(rs, 15)] = T3p - T3u;
cannam@127 704 ci[WS(rs, 8)] = T3p + T3u;
cannam@127 705 cr[WS(rs, 3)] = T2r + T2u;
cannam@127 706 }
cannam@127 707 {
cannam@127 708 E T11, T35, T3g, T3i, T1M, T3h, T38, T39;
cannam@127 709 {
cannam@127 710 E TB, T10, T3a, T3f;
cannam@127 711 TB = Tf + TA;
cannam@127 712 T10 = TM + TZ;
cannam@127 713 T11 = TB + T10;
cannam@127 714 T35 = TB - T10;
cannam@127 715 T3a = T2N + T2M;
cannam@127 716 T3f = T3b + T3e;
cannam@127 717 T3g = T3a + T3f;
cannam@127 718 T3i = T3f - T3a;
cannam@127 719 }
cannam@127 720 {
cannam@127 721 E T1o, T1L, T36, T37;
cannam@127 722 T1o = T18 + T1n;
cannam@127 723 T1L = T1B + T1K;
cannam@127 724 T1M = T1o + T1L;
cannam@127 725 T3h = T1L - T1o;
cannam@127 726 T36 = T2W + T2X;
cannam@127 727 T37 = T2R + T2S;
cannam@127 728 T38 = T36 - T37;
cannam@127 729 T39 = T37 + T36;
cannam@127 730 }
cannam@127 731 ci[WS(rs, 7)] = T11 - T1M;
cannam@127 732 cr[WS(rs, 12)] = T3h - T3i;
cannam@127 733 ci[WS(rs, 11)] = T3h + T3i;
cannam@127 734 cr[0] = T11 + T1M;
cannam@127 735 cr[WS(rs, 4)] = T35 - T38;
cannam@127 736 cr[WS(rs, 8)] = T39 - T3g;
cannam@127 737 ci[WS(rs, 15)] = T39 + T3g;
cannam@127 738 ci[WS(rs, 3)] = T35 + T38;
cannam@127 739 }
cannam@127 740 {
cannam@127 741 E T2z, T2H, T3A, T3C, T2G, T3B, T2K, T3x;
cannam@127 742 {
cannam@127 743 E T2v, T2y, T3y, T3z;
cannam@127 744 T2v = T1N + T1Q;
cannam@127 745 T2y = KP707106781 * (T2w + T2x);
cannam@127 746 T2z = T2v + T2y;
cannam@127 747 T2H = T2v - T2y;
cannam@127 748 T3y = KP707106781 * (T21 - T1W);
cannam@127 749 T3z = T3s - T3r;
cannam@127 750 T3A = T3y + T3z;
cannam@127 751 T3C = T3z - T3y;
cannam@127 752 }
cannam@127 753 {
cannam@127 754 E T2C, T2F, T2I, T2J;
cannam@127 755 T2C = FMA(KP382683432, T2A, KP923879532 * T2B);
cannam@127 756 T2F = FNMS(KP382683432, T2E, KP923879532 * T2D);
cannam@127 757 T2G = T2C + T2F;
cannam@127 758 T3B = T2F - T2C;
cannam@127 759 T2I = FNMS(KP923879532, T2A, KP382683432 * T2B);
cannam@127 760 T2J = FMA(KP923879532, T2E, KP382683432 * T2D);
cannam@127 761 T2K = T2I + T2J;
cannam@127 762 T3x = T2J - T2I;
cannam@127 763 }
cannam@127 764 ci[WS(rs, 6)] = T2z - T2G;
cannam@127 765 cr[WS(rs, 13)] = T3B - T3C;
cannam@127 766 ci[WS(rs, 10)] = T3B + T3C;
cannam@127 767 cr[WS(rs, 1)] = T2z + T2G;
cannam@127 768 cr[WS(rs, 5)] = T2H - T2K;
cannam@127 769 cr[WS(rs, 9)] = T3x - T3A;
cannam@127 770 ci[WS(rs, 14)] = T3x + T3A;
cannam@127 771 ci[WS(rs, 2)] = T2H + T2K;
cannam@127 772 }
cannam@127 773 {
cannam@127 774 E T2P, T31, T3m, T3o, T30, T3j, T34, T3n;
cannam@127 775 {
cannam@127 776 E T2L, T2O, T3k, T3l;
cannam@127 777 T2L = Tf - TA;
cannam@127 778 T2O = T2M - T2N;
cannam@127 779 T2P = T2L - T2O;
cannam@127 780 T31 = T2L + T2O;
cannam@127 781 T3k = TM - TZ;
cannam@127 782 T3l = T3e - T3b;
cannam@127 783 T3m = T3k + T3l;
cannam@127 784 T3o = T3l - T3k;
cannam@127 785 }
cannam@127 786 {
cannam@127 787 E T2U, T2Z, T32, T33;
cannam@127 788 T2U = T2Q + T2T;
cannam@127 789 T2Z = T2V - T2Y;
cannam@127 790 T30 = KP707106781 * (T2U + T2Z);
cannam@127 791 T3j = KP707106781 * (T2Z - T2U);
cannam@127 792 T32 = T2Q - T2T;
cannam@127 793 T33 = T2V + T2Y;
cannam@127 794 T34 = KP707106781 * (T32 + T33);
cannam@127 795 T3n = KP707106781 * (T33 - T32);
cannam@127 796 }
cannam@127 797 ci[WS(rs, 5)] = T2P - T30;
cannam@127 798 cr[WS(rs, 10)] = T3n - T3o;
cannam@127 799 ci[WS(rs, 13)] = T3n + T3o;
cannam@127 800 cr[WS(rs, 2)] = T2P + T30;
cannam@127 801 cr[WS(rs, 6)] = T31 - T34;
cannam@127 802 cr[WS(rs, 14)] = T3j - T3m;
cannam@127 803 ci[WS(rs, 9)] = T3j + T3m;
cannam@127 804 ci[WS(rs, 1)] = T31 + T34;
cannam@127 805 }
cannam@127 806 }
cannam@127 807 }
cannam@127 808 }
cannam@127 809 }
cannam@127 810
cannam@127 811 static const tw_instr twinstr[] = {
cannam@127 812 {TW_CEXP, 1, 1},
cannam@127 813 {TW_CEXP, 1, 3},
cannam@127 814 {TW_CEXP, 1, 9},
cannam@127 815 {TW_CEXP, 1, 15},
cannam@127 816 {TW_NEXT, 1, 0}
cannam@127 817 };
cannam@127 818
cannam@127 819 static const hc2hc_desc desc = { 16, "hf2_16", twinstr, &GENUS, {156, 68, 40, 0} };
cannam@127 820
cannam@127 821 void X(codelet_hf2_16) (planner *p) {
cannam@127 822 X(khc2hc_register) (p, hf2_16, &desc);
cannam@127 823 }
cannam@127 824 #endif /* HAVE_FMA */