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annotate src/fftw-3.3.5/rdft/scalar/r2cf/hf_15.c @ 56:af97cad61ff0

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Add updated build of PortAudio for OSX
author Chris Cannam <cannam@all-day-breakfast.com>
date Tue, 03 Jan 2017 15:10:52 +0000
parents 2cd0e3b3e1fd
children
rev   line source
Chris@42 1 /*
Chris@42 2 * Copyright (c) 2003, 2007-14 Matteo Frigo
Chris@42 3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
Chris@42 4 *
Chris@42 5 * This program is free software; you can redistribute it and/or modify
Chris@42 6 * it under the terms of the GNU General Public License as published by
Chris@42 7 * the Free Software Foundation; either version 2 of the License, or
Chris@42 8 * (at your option) any later version.
Chris@42 9 *
Chris@42 10 * This program is distributed in the hope that it will be useful,
Chris@42 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
Chris@42 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
Chris@42 13 * GNU General Public License for more details.
Chris@42 14 *
Chris@42 15 * You should have received a copy of the GNU General Public License
Chris@42 16 * along with this program; if not, write to the Free Software
Chris@42 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
Chris@42 18 *
Chris@42 19 */
Chris@42 20
Chris@42 21 /* This file was automatically generated --- DO NOT EDIT */
Chris@42 22 /* Generated on Sat Jul 30 16:46:23 EDT 2016 */
Chris@42 23
Chris@42 24 #include "codelet-rdft.h"
Chris@42 25
Chris@42 26 #ifdef HAVE_FMA
Chris@42 27
Chris@42 28 /* Generated by: ../../../genfft/gen_hc2hc.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 15 -dit -name hf_15 -include hf.h */
Chris@42 29
Chris@42 30 /*
Chris@42 31 * This function contains 184 FP additions, 140 FP multiplications,
Chris@42 32 * (or, 72 additions, 28 multiplications, 112 fused multiply/add),
Chris@42 33 * 97 stack variables, 6 constants, and 60 memory accesses
Chris@42 34 */
Chris@42 35 #include "hf.h"
Chris@42 36
Chris@42 37 static void hf_15(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@42 38 {
Chris@42 39 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
Chris@42 40 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
Chris@42 41 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
Chris@42 42 DK(KP618033988, +0.618033988749894848204586834365638117720309180);
Chris@42 43 DK(KP866025403, +0.866025403784438646763723170752936183471402627);
Chris@42 44 DK(KP500000000, +0.500000000000000000000000000000000000000000000);
Chris@42 45 {
Chris@42 46 INT m;
Chris@42 47 for (m = mb, W = W + ((mb - 1) * 28); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 28, MAKE_VOLATILE_STRIDE(30, rs)) {
Chris@42 48 E T3v, T3E, T3G, T3A, T3y, T3z, T3F, T3B;
Chris@42 49 {
Chris@42 50 E T1G, T3l, T3H, T3k, T1B, Tf, T37, T1y, T2Y, T2M, T2a, T2i, T39, Tz, T2U;
Chris@42 51 E T2t, T1O, T2e, T3a, TT, T10, T2V, T2z, T1V, T2f, T2C, T12, T15, T14, T21;
Chris@42 52 E T1c, T1Y, T13;
Chris@42 53 {
Chris@42 54 E T2I, T1k, T1m, T1p, T1o, T28, T1w, T25, T1n;
Chris@42 55 {
Chris@42 56 E T1, T3i, T9, Tc, Tb, T1D, T7, T1E, Ta, T1j, T1i, T1h;
Chris@42 57 T1 = cr[0];
Chris@42 58 T3i = ci[0];
Chris@42 59 {
Chris@42 60 E T3, T6, T2, T5, T1C, T4, T8;
Chris@42 61 T3 = cr[WS(rs, 5)];
Chris@42 62 T6 = ci[WS(rs, 5)];
Chris@42 63 T2 = W[8];
Chris@42 64 T5 = W[9];
Chris@42 65 T9 = cr[WS(rs, 10)];
Chris@42 66 Tc = ci[WS(rs, 10)];
Chris@42 67 T1C = T2 * T6;
Chris@42 68 T4 = T2 * T3;
Chris@42 69 T8 = W[18];
Chris@42 70 Tb = W[19];
Chris@42 71 T1D = FNMS(T5, T3, T1C);
Chris@42 72 T7 = FMA(T5, T6, T4);
Chris@42 73 T1E = T8 * Tc;
Chris@42 74 Ta = T8 * T9;
Chris@42 75 }
Chris@42 76 {
Chris@42 77 E T1g, T1F, Td, T1f, T3j, Te, T2H;
Chris@42 78 T1g = cr[WS(rs, 9)];
Chris@42 79 T1j = ci[WS(rs, 9)];
Chris@42 80 T1F = FNMS(Tb, T9, T1E);
Chris@42 81 Td = FMA(Tb, Tc, Ta);
Chris@42 82 T1f = W[16];
Chris@42 83 T1i = W[17];
Chris@42 84 T1G = T1D - T1F;
Chris@42 85 T3j = T1D + T1F;
Chris@42 86 T3l = Td - T7;
Chris@42 87 Te = T7 + Td;
Chris@42 88 T2H = T1f * T1j;
Chris@42 89 T1h = T1f * T1g;
Chris@42 90 T3H = T3j + T3i;
Chris@42 91 T3k = FNMS(KP500000000, T3j, T3i);
Chris@42 92 T1B = FNMS(KP500000000, Te, T1);
Chris@42 93 Tf = T1 + Te;
Chris@42 94 T2I = FNMS(T1i, T1g, T2H);
Chris@42 95 }
Chris@42 96 T1k = FMA(T1i, T1j, T1h);
Chris@42 97 {
Chris@42 98 E T1s, T1v, T1r, T1u, T27, T1t, T1l;
Chris@42 99 T1s = cr[WS(rs, 4)];
Chris@42 100 T1v = ci[WS(rs, 4)];
Chris@42 101 T1r = W[6];
Chris@42 102 T1u = W[7];
Chris@42 103 T1m = cr[WS(rs, 14)];
Chris@42 104 T1p = ci[WS(rs, 14)];
Chris@42 105 T27 = T1r * T1v;
Chris@42 106 T1t = T1r * T1s;
Chris@42 107 T1l = W[26];
Chris@42 108 T1o = W[27];
Chris@42 109 T28 = FNMS(T1u, T1s, T27);
Chris@42 110 T1w = FMA(T1u, T1v, T1t);
Chris@42 111 T25 = T1l * T1p;
Chris@42 112 T1n = T1l * T1m;
Chris@42 113 }
Chris@42 114 }
Chris@42 115 {
Chris@42 116 E Tl, T2p, Tn, Tq, Tp, T1M, Tx, T1J, To;
Chris@42 117 {
Chris@42 118 E Th, Tk, T26, T1q, Tg, Tj;
Chris@42 119 Th = cr[WS(rs, 3)];
Chris@42 120 Tk = ci[WS(rs, 3)];
Chris@42 121 T26 = FNMS(T1o, T1m, T25);
Chris@42 122 T1q = FMA(T1o, T1p, T1n);
Chris@42 123 Tg = W[4];
Chris@42 124 Tj = W[5];
Chris@42 125 {
Chris@42 126 E T29, T2J, T1x, T2L;
Chris@42 127 T29 = T26 - T28;
Chris@42 128 T2J = T26 + T28;
Chris@42 129 T1x = T1q + T1w;
Chris@42 130 T2L = T1q - T1w;
Chris@42 131 {
Chris@42 132 E T2o, Ti, T2K, T24;
Chris@42 133 T2o = Tg * Tk;
Chris@42 134 Ti = Tg * Th;
Chris@42 135 T2K = FNMS(KP500000000, T2J, T2I);
Chris@42 136 T37 = T2I + T2J;
Chris@42 137 T24 = FNMS(KP500000000, T1x, T1k);
Chris@42 138 T1y = T1k + T1x;
Chris@42 139 Tl = FMA(Tj, Tk, Ti);
Chris@42 140 T2Y = FMA(KP866025403, T2L, T2K);
Chris@42 141 T2M = FNMS(KP866025403, T2L, T2K);
Chris@42 142 T2a = FNMS(KP866025403, T29, T24);
Chris@42 143 T2i = FMA(KP866025403, T29, T24);
Chris@42 144 T2p = FNMS(Tj, Th, T2o);
Chris@42 145 }
Chris@42 146 }
Chris@42 147 }
Chris@42 148 {
Chris@42 149 E Tt, Tw, Ts, Tv, T1L, Tu, Tm;
Chris@42 150 Tt = cr[WS(rs, 13)];
Chris@42 151 Tw = ci[WS(rs, 13)];
Chris@42 152 Ts = W[24];
Chris@42 153 Tv = W[25];
Chris@42 154 Tn = cr[WS(rs, 8)];
Chris@42 155 Tq = ci[WS(rs, 8)];
Chris@42 156 T1L = Ts * Tw;
Chris@42 157 Tu = Ts * Tt;
Chris@42 158 Tm = W[14];
Chris@42 159 Tp = W[15];
Chris@42 160 T1M = FNMS(Tv, Tt, T1L);
Chris@42 161 Tx = FMA(Tv, Tw, Tu);
Chris@42 162 T1J = Tm * Tq;
Chris@42 163 To = Tm * Tn;
Chris@42 164 }
Chris@42 165 {
Chris@42 166 E TF, T2v, TH, TK, TJ, T1T, TR, T1Q, TI;
Chris@42 167 {
Chris@42 168 E TB, TE, T1K, Tr, TA, TD;
Chris@42 169 TB = cr[WS(rs, 12)];
Chris@42 170 TE = ci[WS(rs, 12)];
Chris@42 171 T1K = FNMS(Tp, Tn, T1J);
Chris@42 172 Tr = FMA(Tp, Tq, To);
Chris@42 173 TA = W[22];
Chris@42 174 TD = W[23];
Chris@42 175 {
Chris@42 176 E T1N, T2q, Ty, T2s;
Chris@42 177 T1N = T1K - T1M;
Chris@42 178 T2q = T1K + T1M;
Chris@42 179 Ty = Tr + Tx;
Chris@42 180 T2s = Tr - Tx;
Chris@42 181 {
Chris@42 182 E T2u, TC, T2r, T1I;
Chris@42 183 T2u = TA * TE;
Chris@42 184 TC = TA * TB;
Chris@42 185 T2r = FNMS(KP500000000, T2q, T2p);
Chris@42 186 T39 = T2p + T2q;
Chris@42 187 T1I = FNMS(KP500000000, Ty, Tl);
Chris@42 188 Tz = Tl + Ty;
Chris@42 189 TF = FMA(TD, TE, TC);
Chris@42 190 T2U = FMA(KP866025403, T2s, T2r);
Chris@42 191 T2t = FNMS(KP866025403, T2s, T2r);
Chris@42 192 T1O = FNMS(KP866025403, T1N, T1I);
Chris@42 193 T2e = FMA(KP866025403, T1N, T1I);
Chris@42 194 T2v = FNMS(TD, TB, T2u);
Chris@42 195 }
Chris@42 196 }
Chris@42 197 }
Chris@42 198 {
Chris@42 199 E TN, TQ, TM, TP, T1S, TO, TG;
Chris@42 200 TN = cr[WS(rs, 7)];
Chris@42 201 TQ = ci[WS(rs, 7)];
Chris@42 202 TM = W[12];
Chris@42 203 TP = W[13];
Chris@42 204 TH = cr[WS(rs, 2)];
Chris@42 205 TK = ci[WS(rs, 2)];
Chris@42 206 T1S = TM * TQ;
Chris@42 207 TO = TM * TN;
Chris@42 208 TG = W[2];
Chris@42 209 TJ = W[3];
Chris@42 210 T1T = FNMS(TP, TN, T1S);
Chris@42 211 TR = FMA(TP, TQ, TO);
Chris@42 212 T1Q = TG * TK;
Chris@42 213 TI = TG * TH;
Chris@42 214 }
Chris@42 215 {
Chris@42 216 E TW, TZ, T1R, TL, TV, TY;
Chris@42 217 TW = cr[WS(rs, 6)];
Chris@42 218 TZ = ci[WS(rs, 6)];
Chris@42 219 T1R = FNMS(TJ, TH, T1Q);
Chris@42 220 TL = FMA(TJ, TK, TI);
Chris@42 221 TV = W[10];
Chris@42 222 TY = W[11];
Chris@42 223 {
Chris@42 224 E T1U, T2w, TS, T2y;
Chris@42 225 T1U = T1R - T1T;
Chris@42 226 T2w = T1R + T1T;
Chris@42 227 TS = TL + TR;
Chris@42 228 T2y = TL - TR;
Chris@42 229 {
Chris@42 230 E T2B, TX, T2x, T1P;
Chris@42 231 T2B = TV * TZ;
Chris@42 232 TX = TV * TW;
Chris@42 233 T2x = FNMS(KP500000000, T2w, T2v);
Chris@42 234 T3a = T2v + T2w;
Chris@42 235 T1P = FNMS(KP500000000, TS, TF);
Chris@42 236 TT = TF + TS;
Chris@42 237 T10 = FMA(TY, TZ, TX);
Chris@42 238 T2V = FMA(KP866025403, T2y, T2x);
Chris@42 239 T2z = FNMS(KP866025403, T2y, T2x);
Chris@42 240 T1V = FNMS(KP866025403, T1U, T1P);
Chris@42 241 T2f = FMA(KP866025403, T1U, T1P);
Chris@42 242 T2C = FNMS(TY, TW, T2B);
Chris@42 243 }
Chris@42 244 }
Chris@42 245 }
Chris@42 246 {
Chris@42 247 E T18, T1b, T17, T1a, T20, T19, T11;
Chris@42 248 T18 = cr[WS(rs, 1)];
Chris@42 249 T1b = ci[WS(rs, 1)];
Chris@42 250 T17 = W[0];
Chris@42 251 T1a = W[1];
Chris@42 252 T12 = cr[WS(rs, 11)];
Chris@42 253 T15 = ci[WS(rs, 11)];
Chris@42 254 T20 = T17 * T1b;
Chris@42 255 T19 = T17 * T18;
Chris@42 256 T11 = W[20];
Chris@42 257 T14 = W[21];
Chris@42 258 T21 = FNMS(T1a, T18, T20);
Chris@42 259 T1c = FMA(T1a, T1b, T19);
Chris@42 260 T1Y = T11 * T15;
Chris@42 261 T13 = T11 * T12;
Chris@42 262 }
Chris@42 263 }
Chris@42 264 }
Chris@42 265 }
Chris@42 266 {
Chris@42 267 E T3I, T3O, T3w, T2d, T3J, T3P, T3x, T3C, T3D, T3f, T3g, T2Q, T2O, T3r, T3q;
Chris@42 268 E T2k, T2m;
Chris@42 269 {
Chris@42 270 E T3b, T1Z, T16, TU;
Chris@42 271 T3I = T39 + T3a;
Chris@42 272 T3b = T39 - T3a;
Chris@42 273 T1Z = FNMS(T14, T12, T1Y);
Chris@42 274 T16 = FMA(T14, T15, T13);
Chris@42 275 T3O = TT - Tz;
Chris@42 276 TU = Tz + TT;
Chris@42 277 {
Chris@42 278 E T1H, T2G, T2h, T3e, T3c, T34, T1W, T32, T30, T33, T2b, T2S, T2R;
Chris@42 279 {
Chris@42 280 E T2W, T22, T1d, T2F, T2E, T36, T2D;
Chris@42 281 T2W = T2U - T2V;
Chris@42 282 T3w = T2U + T2V;
Chris@42 283 T22 = T1Z - T21;
Chris@42 284 T2D = T1Z + T21;
Chris@42 285 T1d = T16 + T1c;
Chris@42 286 T2F = T16 - T1c;
Chris@42 287 T2E = FNMS(KP500000000, T2D, T2C);
Chris@42 288 T36 = T2C + T2D;
Chris@42 289 T2d = FMA(KP866025403, T1G, T1B);
Chris@42 290 T1H = FNMS(KP866025403, T1G, T1B);
Chris@42 291 {
Chris@42 292 E T1e, T1X, T38, T2X;
Chris@42 293 T1e = T10 + T1d;
Chris@42 294 T1X = FNMS(KP500000000, T1d, T10);
Chris@42 295 T38 = T36 - T37;
Chris@42 296 T3J = T36 + T37;
Chris@42 297 T2G = FNMS(KP866025403, T2F, T2E);
Chris@42 298 T2X = FMA(KP866025403, T2F, T2E);
Chris@42 299 {
Chris@42 300 E T1z, T23, T2Z, T1A;
Chris@42 301 T3P = T1y - T1e;
Chris@42 302 T1z = T1e + T1y;
Chris@42 303 T23 = FNMS(KP866025403, T22, T1X);
Chris@42 304 T2h = FMA(KP866025403, T22, T1X);
Chris@42 305 T3e = FMA(KP618033988, T38, T3b);
Chris@42 306 T3c = FNMS(KP618033988, T3b, T38);
Chris@42 307 T2Z = T2X - T2Y;
Chris@42 308 T3x = T2X + T2Y;
Chris@42 309 T1A = TU + T1z;
Chris@42 310 T34 = TU - T1z;
Chris@42 311 T3C = T1O - T1V;
Chris@42 312 T1W = T1O + T1V;
Chris@42 313 T32 = FNMS(KP618033988, T2W, T2Z);
Chris@42 314 T30 = FMA(KP618033988, T2Z, T2W);
Chris@42 315 cr[0] = Tf + T1A;
Chris@42 316 T33 = FNMS(KP250000000, T1A, Tf);
Chris@42 317 T2b = T23 + T2a;
Chris@42 318 T3D = T23 - T2a;
Chris@42 319 }
Chris@42 320 }
Chris@42 321 }
Chris@42 322 {
Chris@42 323 E T2A, T2N, T3d, T35, T2c;
Chris@42 324 T3f = T2t + T2z;
Chris@42 325 T2A = T2t - T2z;
Chris@42 326 T2N = T2G - T2M;
Chris@42 327 T3g = T2G + T2M;
Chris@42 328 T3d = FMA(KP559016994, T34, T33);
Chris@42 329 T35 = FNMS(KP559016994, T34, T33);
Chris@42 330 T2c = T1W + T2b;
Chris@42 331 T2S = T1W - T2b;
Chris@42 332 cr[WS(rs, 3)] = FMA(KP951056516, T3c, T35);
Chris@42 333 ci[WS(rs, 2)] = FNMS(KP951056516, T3c, T35);
Chris@42 334 cr[WS(rs, 6)] = FMA(KP951056516, T3e, T3d);
Chris@42 335 ci[WS(rs, 5)] = FNMS(KP951056516, T3e, T3d);
Chris@42 336 cr[WS(rs, 5)] = T1H + T2c;
Chris@42 337 T2R = FNMS(KP250000000, T2c, T1H);
Chris@42 338 T2Q = FNMS(KP618033988, T2A, T2N);
Chris@42 339 T2O = FMA(KP618033988, T2N, T2A);
Chris@42 340 }
Chris@42 341 {
Chris@42 342 E T2T, T31, T2g, T2j;
Chris@42 343 T2T = FMA(KP559016994, T2S, T2R);
Chris@42 344 T31 = FNMS(KP559016994, T2S, T2R);
Chris@42 345 T2g = T2e + T2f;
Chris@42 346 T3r = T2e - T2f;
Chris@42 347 T3q = T2h - T2i;
Chris@42 348 T2j = T2h + T2i;
Chris@42 349 ci[WS(rs, 3)] = FMA(KP951056516, T30, T2T);
Chris@42 350 ci[0] = FNMS(KP951056516, T30, T2T);
Chris@42 351 ci[WS(rs, 6)] = FMA(KP951056516, T32, T31);
Chris@42 352 cr[WS(rs, 2)] = FNMS(KP951056516, T32, T31);
Chris@42 353 T2k = T2g + T2j;
Chris@42 354 T2m = T2g - T2j;
Chris@42 355 }
Chris@42 356 }
Chris@42 357 }
Chris@42 358 {
Chris@42 359 E T3m, T3s, T3u, T3o, T3h, T2l, T2n, T2P;
Chris@42 360 ci[WS(rs, 4)] = T2d + T2k;
Chris@42 361 T2l = FNMS(KP250000000, T2k, T2d);
Chris@42 362 T3m = FMA(KP866025403, T3l, T3k);
Chris@42 363 T3v = FNMS(KP866025403, T3l, T3k);
Chris@42 364 T3s = FNMS(KP618033988, T3r, T3q);
Chris@42 365 T3u = FMA(KP618033988, T3q, T3r);
Chris@42 366 T2n = FMA(KP559016994, T2m, T2l);
Chris@42 367 T2P = FNMS(KP559016994, T2m, T2l);
Chris@42 368 ci[WS(rs, 1)] = FMA(KP951056516, T2Q, T2P);
Chris@42 369 cr[WS(rs, 7)] = FNMS(KP951056516, T2Q, T2P);
Chris@42 370 cr[WS(rs, 1)] = FMA(KP951056516, T2O, T2n);
Chris@42 371 cr[WS(rs, 4)] = FNMS(KP951056516, T2O, T2n);
Chris@42 372 T3o = T3f - T3g;
Chris@42 373 T3h = T3f + T3g;
Chris@42 374 {
Chris@42 375 E T3S, T3Q, T3K, T3M, T3n, T3p, T3t, T3L, T3R, T3N;
Chris@42 376 cr[WS(rs, 10)] = -(T3h + T3m);
Chris@42 377 T3n = FNMS(KP250000000, T3h, T3m);
Chris@42 378 T3S = FNMS(KP618033988, T3O, T3P);
Chris@42 379 T3Q = FMA(KP618033988, T3P, T3O);
Chris@42 380 T3p = FNMS(KP559016994, T3o, T3n);
Chris@42 381 T3t = FMA(KP559016994, T3o, T3n);
Chris@42 382 ci[WS(rs, 7)] = FMA(KP951056516, T3s, T3p);
Chris@42 383 cr[WS(rs, 13)] = FMS(KP951056516, T3s, T3p);
Chris@42 384 ci[WS(rs, 13)] = FNMS(KP951056516, T3u, T3t);
Chris@42 385 ci[WS(rs, 10)] = FMA(KP951056516, T3u, T3t);
Chris@42 386 T3K = T3I + T3J;
Chris@42 387 T3M = T3I - T3J;
Chris@42 388 ci[WS(rs, 14)] = T3K + T3H;
Chris@42 389 T3L = FNMS(KP250000000, T3K, T3H);
Chris@42 390 T3E = FMA(KP618033988, T3D, T3C);
Chris@42 391 T3G = FNMS(KP618033988, T3C, T3D);
Chris@42 392 T3R = FNMS(KP559016994, T3M, T3L);
Chris@42 393 T3N = FMA(KP559016994, T3M, T3L);
Chris@42 394 ci[WS(rs, 8)] = FMA(KP951056516, T3Q, T3N);
Chris@42 395 cr[WS(rs, 9)] = FMS(KP951056516, T3Q, T3N);
Chris@42 396 ci[WS(rs, 11)] = FMA(KP951056516, T3S, T3R);
Chris@42 397 cr[WS(rs, 12)] = FMS(KP951056516, T3S, T3R);
Chris@42 398 T3A = T3x - T3w;
Chris@42 399 T3y = T3w + T3x;
Chris@42 400 }
Chris@42 401 }
Chris@42 402 }
Chris@42 403 }
Chris@42 404 ci[WS(rs, 9)] = T3y + T3v;
Chris@42 405 T3z = FNMS(KP250000000, T3y, T3v);
Chris@42 406 T3F = FMA(KP559016994, T3A, T3z);
Chris@42 407 T3B = FNMS(KP559016994, T3A, T3z);
Chris@42 408 cr[WS(rs, 14)] = -(FMA(KP951056516, T3E, T3B));
Chris@42 409 cr[WS(rs, 11)] = FMS(KP951056516, T3E, T3B);
Chris@42 410 ci[WS(rs, 12)] = FMA(KP951056516, T3G, T3F);
Chris@42 411 cr[WS(rs, 8)] = FMS(KP951056516, T3G, T3F);
Chris@42 412 }
Chris@42 413 }
Chris@42 414 }
Chris@42 415
Chris@42 416 static const tw_instr twinstr[] = {
Chris@42 417 {TW_FULL, 1, 15},
Chris@42 418 {TW_NEXT, 1, 0}
Chris@42 419 };
Chris@42 420
Chris@42 421 static const hc2hc_desc desc = { 15, "hf_15", twinstr, &GENUS, {72, 28, 112, 0} };
Chris@42 422
Chris@42 423 void X(codelet_hf_15) (planner *p) {
Chris@42 424 X(khc2hc_register) (p, hf_15, &desc);
Chris@42 425 }
Chris@42 426 #else /* HAVE_FMA */
Chris@42 427
Chris@42 428 /* Generated by: ../../../genfft/gen_hc2hc.native -compact -variables 4 -pipeline-latency 4 -n 15 -dit -name hf_15 -include hf.h */
Chris@42 429
Chris@42 430 /*
Chris@42 431 * This function contains 184 FP additions, 112 FP multiplications,
Chris@42 432 * (or, 128 additions, 56 multiplications, 56 fused multiply/add),
Chris@42 433 * 65 stack variables, 6 constants, and 60 memory accesses
Chris@42 434 */
Chris@42 435 #include "hf.h"
Chris@42 436
Chris@42 437 static void hf_15(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@42 438 {
Chris@42 439 DK(KP587785252, +0.587785252292473129168705954639072768597652438);
Chris@42 440 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
Chris@42 441 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
Chris@42 442 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
Chris@42 443 DK(KP500000000, +0.500000000000000000000000000000000000000000000);
Chris@42 444 DK(KP866025403, +0.866025403784438646763723170752936183471402627);
Chris@42 445 {
Chris@42 446 INT m;
Chris@42 447 for (m = mb, W = W + ((mb - 1) * 28); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 28, MAKE_VOLATILE_STRIDE(30, rs)) {
Chris@42 448 E T1q, T2Q, Td, T1n, T2T, T3l, T13, T1k, T1l, T2E, T2F, T3j, T1H, T1T, T2k;
Chris@42 449 E T2w, T2f, T2v, T1M, T1U, Tu, TL, TM, T2H, T2I, T3i, T1w, T1Q, T29, T2t;
Chris@42 450 E T24, T2s, T1B, T1R;
Chris@42 451 {
Chris@42 452 E T1, T2R, T6, T1o, Tb, T1p, Tc, T2S;
Chris@42 453 T1 = cr[0];
Chris@42 454 T2R = ci[0];
Chris@42 455 {
Chris@42 456 E T3, T5, T2, T4;
Chris@42 457 T3 = cr[WS(rs, 5)];
Chris@42 458 T5 = ci[WS(rs, 5)];
Chris@42 459 T2 = W[8];
Chris@42 460 T4 = W[9];
Chris@42 461 T6 = FMA(T2, T3, T4 * T5);
Chris@42 462 T1o = FNMS(T4, T3, T2 * T5);
Chris@42 463 }
Chris@42 464 {
Chris@42 465 E T8, Ta, T7, T9;
Chris@42 466 T8 = cr[WS(rs, 10)];
Chris@42 467 Ta = ci[WS(rs, 10)];
Chris@42 468 T7 = W[18];
Chris@42 469 T9 = W[19];
Chris@42 470 Tb = FMA(T7, T8, T9 * Ta);
Chris@42 471 T1p = FNMS(T9, T8, T7 * Ta);
Chris@42 472 }
Chris@42 473 T1q = KP866025403 * (T1o - T1p);
Chris@42 474 T2Q = KP866025403 * (Tb - T6);
Chris@42 475 Tc = T6 + Tb;
Chris@42 476 Td = T1 + Tc;
Chris@42 477 T1n = FNMS(KP500000000, Tc, T1);
Chris@42 478 T2S = T1o + T1p;
Chris@42 479 T2T = FNMS(KP500000000, T2S, T2R);
Chris@42 480 T3l = T2S + T2R;
Chris@42 481 }
Chris@42 482 {
Chris@42 483 E TR, T2c, T18, T2h, TW, T1E, T11, T1F, T12, T2d, T1d, T1J, T1i, T1K, T1j;
Chris@42 484 E T2i;
Chris@42 485 {
Chris@42 486 E TO, TQ, TN, TP;
Chris@42 487 TO = cr[WS(rs, 6)];
Chris@42 488 TQ = ci[WS(rs, 6)];
Chris@42 489 TN = W[10];
Chris@42 490 TP = W[11];
Chris@42 491 TR = FMA(TN, TO, TP * TQ);
Chris@42 492 T2c = FNMS(TP, TO, TN * TQ);
Chris@42 493 }
Chris@42 494 {
Chris@42 495 E T15, T17, T14, T16;
Chris@42 496 T15 = cr[WS(rs, 9)];
Chris@42 497 T17 = ci[WS(rs, 9)];
Chris@42 498 T14 = W[16];
Chris@42 499 T16 = W[17];
Chris@42 500 T18 = FMA(T14, T15, T16 * T17);
Chris@42 501 T2h = FNMS(T16, T15, T14 * T17);
Chris@42 502 }
Chris@42 503 {
Chris@42 504 E TT, TV, TS, TU;
Chris@42 505 TT = cr[WS(rs, 11)];
Chris@42 506 TV = ci[WS(rs, 11)];
Chris@42 507 TS = W[20];
Chris@42 508 TU = W[21];
Chris@42 509 TW = FMA(TS, TT, TU * TV);
Chris@42 510 T1E = FNMS(TU, TT, TS * TV);
Chris@42 511 }
Chris@42 512 {
Chris@42 513 E TY, T10, TX, TZ;
Chris@42 514 TY = cr[WS(rs, 1)];
Chris@42 515 T10 = ci[WS(rs, 1)];
Chris@42 516 TX = W[0];
Chris@42 517 TZ = W[1];
Chris@42 518 T11 = FMA(TX, TY, TZ * T10);
Chris@42 519 T1F = FNMS(TZ, TY, TX * T10);
Chris@42 520 }
Chris@42 521 T12 = TW + T11;
Chris@42 522 T2d = T1E + T1F;
Chris@42 523 {
Chris@42 524 E T1a, T1c, T19, T1b;
Chris@42 525 T1a = cr[WS(rs, 14)];
Chris@42 526 T1c = ci[WS(rs, 14)];
Chris@42 527 T19 = W[26];
Chris@42 528 T1b = W[27];
Chris@42 529 T1d = FMA(T19, T1a, T1b * T1c);
Chris@42 530 T1J = FNMS(T1b, T1a, T19 * T1c);
Chris@42 531 }
Chris@42 532 {
Chris@42 533 E T1f, T1h, T1e, T1g;
Chris@42 534 T1f = cr[WS(rs, 4)];
Chris@42 535 T1h = ci[WS(rs, 4)];
Chris@42 536 T1e = W[6];
Chris@42 537 T1g = W[7];
Chris@42 538 T1i = FMA(T1e, T1f, T1g * T1h);
Chris@42 539 T1K = FNMS(T1g, T1f, T1e * T1h);
Chris@42 540 }
Chris@42 541 T1j = T1d + T1i;
Chris@42 542 T2i = T1J + T1K;
Chris@42 543 {
Chris@42 544 E T1D, T1G, T2g, T2j;
Chris@42 545 T13 = TR + T12;
Chris@42 546 T1k = T18 + T1j;
Chris@42 547 T1l = T13 + T1k;
Chris@42 548 T2E = T2c + T2d;
Chris@42 549 T2F = T2h + T2i;
Chris@42 550 T3j = T2E + T2F;
Chris@42 551 T1D = FNMS(KP500000000, T12, TR);
Chris@42 552 T1G = KP866025403 * (T1E - T1F);
Chris@42 553 T1H = T1D - T1G;
Chris@42 554 T1T = T1D + T1G;
Chris@42 555 T2g = KP866025403 * (T1d - T1i);
Chris@42 556 T2j = FNMS(KP500000000, T2i, T2h);
Chris@42 557 T2k = T2g - T2j;
Chris@42 558 T2w = T2g + T2j;
Chris@42 559 {
Chris@42 560 E T2b, T2e, T1I, T1L;
Chris@42 561 T2b = KP866025403 * (T11 - TW);
Chris@42 562 T2e = FNMS(KP500000000, T2d, T2c);
Chris@42 563 T2f = T2b + T2e;
Chris@42 564 T2v = T2e - T2b;
Chris@42 565 T1I = FNMS(KP500000000, T1j, T18);
Chris@42 566 T1L = KP866025403 * (T1J - T1K);
Chris@42 567 T1M = T1I - T1L;
Chris@42 568 T1U = T1I + T1L;
Chris@42 569 }
Chris@42 570 }
Chris@42 571 }
Chris@42 572 {
Chris@42 573 E Ti, T21, Tz, T26, Tn, T1t, Ts, T1u, Tt, T22, TE, T1y, TJ, T1z, TK;
Chris@42 574 E T27;
Chris@42 575 {
Chris@42 576 E Tf, Th, Te, Tg;
Chris@42 577 Tf = cr[WS(rs, 3)];
Chris@42 578 Th = ci[WS(rs, 3)];
Chris@42 579 Te = W[4];
Chris@42 580 Tg = W[5];
Chris@42 581 Ti = FMA(Te, Tf, Tg * Th);
Chris@42 582 T21 = FNMS(Tg, Tf, Te * Th);
Chris@42 583 }
Chris@42 584 {
Chris@42 585 E Tw, Ty, Tv, Tx;
Chris@42 586 Tw = cr[WS(rs, 12)];
Chris@42 587 Ty = ci[WS(rs, 12)];
Chris@42 588 Tv = W[22];
Chris@42 589 Tx = W[23];
Chris@42 590 Tz = FMA(Tv, Tw, Tx * Ty);
Chris@42 591 T26 = FNMS(Tx, Tw, Tv * Ty);
Chris@42 592 }
Chris@42 593 {
Chris@42 594 E Tk, Tm, Tj, Tl;
Chris@42 595 Tk = cr[WS(rs, 8)];
Chris@42 596 Tm = ci[WS(rs, 8)];
Chris@42 597 Tj = W[14];
Chris@42 598 Tl = W[15];
Chris@42 599 Tn = FMA(Tj, Tk, Tl * Tm);
Chris@42 600 T1t = FNMS(Tl, Tk, Tj * Tm);
Chris@42 601 }
Chris@42 602 {
Chris@42 603 E Tp, Tr, To, Tq;
Chris@42 604 Tp = cr[WS(rs, 13)];
Chris@42 605 Tr = ci[WS(rs, 13)];
Chris@42 606 To = W[24];
Chris@42 607 Tq = W[25];
Chris@42 608 Ts = FMA(To, Tp, Tq * Tr);
Chris@42 609 T1u = FNMS(Tq, Tp, To * Tr);
Chris@42 610 }
Chris@42 611 Tt = Tn + Ts;
Chris@42 612 T22 = T1t + T1u;
Chris@42 613 {
Chris@42 614 E TB, TD, TA, TC;
Chris@42 615 TB = cr[WS(rs, 2)];
Chris@42 616 TD = ci[WS(rs, 2)];
Chris@42 617 TA = W[2];
Chris@42 618 TC = W[3];
Chris@42 619 TE = FMA(TA, TB, TC * TD);
Chris@42 620 T1y = FNMS(TC, TB, TA * TD);
Chris@42 621 }
Chris@42 622 {
Chris@42 623 E TG, TI, TF, TH;
Chris@42 624 TG = cr[WS(rs, 7)];
Chris@42 625 TI = ci[WS(rs, 7)];
Chris@42 626 TF = W[12];
Chris@42 627 TH = W[13];
Chris@42 628 TJ = FMA(TF, TG, TH * TI);
Chris@42 629 T1z = FNMS(TH, TG, TF * TI);
Chris@42 630 }
Chris@42 631 TK = TE + TJ;
Chris@42 632 T27 = T1y + T1z;
Chris@42 633 {
Chris@42 634 E T1s, T1v, T25, T28;
Chris@42 635 Tu = Ti + Tt;
Chris@42 636 TL = Tz + TK;
Chris@42 637 TM = Tu + TL;
Chris@42 638 T2H = T21 + T22;
Chris@42 639 T2I = T26 + T27;
Chris@42 640 T3i = T2H + T2I;
Chris@42 641 T1s = FNMS(KP500000000, Tt, Ti);
Chris@42 642 T1v = KP866025403 * (T1t - T1u);
Chris@42 643 T1w = T1s - T1v;
Chris@42 644 T1Q = T1s + T1v;
Chris@42 645 T25 = KP866025403 * (TJ - TE);
Chris@42 646 T28 = FNMS(KP500000000, T27, T26);
Chris@42 647 T29 = T25 + T28;
Chris@42 648 T2t = T28 - T25;
Chris@42 649 {
Chris@42 650 E T20, T23, T1x, T1A;
Chris@42 651 T20 = KP866025403 * (Ts - Tn);
Chris@42 652 T23 = FNMS(KP500000000, T22, T21);
Chris@42 653 T24 = T20 + T23;
Chris@42 654 T2s = T23 - T20;
Chris@42 655 T1x = FNMS(KP500000000, TK, Tz);
Chris@42 656 T1A = KP866025403 * (T1y - T1z);
Chris@42 657 T1B = T1x - T1A;
Chris@42 658 T1R = T1x + T1A;
Chris@42 659 }
Chris@42 660 }
Chris@42 661 }
Chris@42 662 {
Chris@42 663 E T2C, T1m, T2B, T2K, T2M, T2G, T2J, T2L, T2D;
Chris@42 664 T2C = KP559016994 * (TM - T1l);
Chris@42 665 T1m = TM + T1l;
Chris@42 666 T2B = FNMS(KP250000000, T1m, Td);
Chris@42 667 T2G = T2E - T2F;
Chris@42 668 T2J = T2H - T2I;
Chris@42 669 T2K = FNMS(KP587785252, T2J, KP951056516 * T2G);
Chris@42 670 T2M = FMA(KP951056516, T2J, KP587785252 * T2G);
Chris@42 671 cr[0] = Td + T1m;
Chris@42 672 T2L = T2C + T2B;
Chris@42 673 ci[WS(rs, 5)] = T2L - T2M;
Chris@42 674 cr[WS(rs, 6)] = T2L + T2M;
Chris@42 675 T2D = T2B - T2C;
Chris@42 676 ci[WS(rs, 2)] = T2D - T2K;
Chris@42 677 cr[WS(rs, 3)] = T2D + T2K;
Chris@42 678 }
Chris@42 679 {
Chris@42 680 E T3k, T3m, T3n, T3h, T3p, T3f, T3g, T3q, T3o;
Chris@42 681 T3k = KP559016994 * (T3i - T3j);
Chris@42 682 T3m = T3i + T3j;
Chris@42 683 T3n = FNMS(KP250000000, T3m, T3l);
Chris@42 684 T3f = T1k - T13;
Chris@42 685 T3g = Tu - TL;
Chris@42 686 T3h = FNMS(KP951056516, T3g, KP587785252 * T3f);
Chris@42 687 T3p = FMA(KP587785252, T3g, KP951056516 * T3f);
Chris@42 688 ci[WS(rs, 14)] = T3m + T3l;
Chris@42 689 T3q = T3n - T3k;
Chris@42 690 cr[WS(rs, 12)] = T3p - T3q;
Chris@42 691 ci[WS(rs, 11)] = T3p + T3q;
Chris@42 692 T3o = T3k + T3n;
Chris@42 693 cr[WS(rs, 9)] = T3h - T3o;
Chris@42 694 ci[WS(rs, 8)] = T3h + T3o;
Chris@42 695 }
Chris@42 696 {
Chris@42 697 E T2y, T2A, T1r, T1O, T2p, T2q, T2z, T2r;
Chris@42 698 {
Chris@42 699 E T2u, T2x, T1C, T1N;
Chris@42 700 T2u = T2s - T2t;
Chris@42 701 T2x = T2v - T2w;
Chris@42 702 T2y = FMA(KP951056516, T2u, KP587785252 * T2x);
Chris@42 703 T2A = FNMS(KP587785252, T2u, KP951056516 * T2x);
Chris@42 704 T1r = T1n - T1q;
Chris@42 705 T1C = T1w + T1B;
Chris@42 706 T1N = T1H + T1M;
Chris@42 707 T1O = T1C + T1N;
Chris@42 708 T2p = KP559016994 * (T1C - T1N);
Chris@42 709 T2q = FNMS(KP250000000, T1O, T1r);
Chris@42 710 }
Chris@42 711 cr[WS(rs, 5)] = T1r + T1O;
Chris@42 712 T2z = T2q - T2p;
Chris@42 713 cr[WS(rs, 2)] = T2z - T2A;
Chris@42 714 ci[WS(rs, 6)] = T2z + T2A;
Chris@42 715 T2r = T2p + T2q;
Chris@42 716 ci[0] = T2r - T2y;
Chris@42 717 ci[WS(rs, 3)] = T2r + T2y;
Chris@42 718 }
Chris@42 719 {
Chris@42 720 E T35, T3d, T39, T3a, T38, T3b, T3e, T3c;
Chris@42 721 {
Chris@42 722 E T33, T34, T36, T37;
Chris@42 723 T33 = T1w - T1B;
Chris@42 724 T34 = T1H - T1M;
Chris@42 725 T35 = FMA(KP951056516, T33, KP587785252 * T34);
Chris@42 726 T3d = FNMS(KP587785252, T33, KP951056516 * T34);
Chris@42 727 T39 = T2T - T2Q;
Chris@42 728 T36 = T2v + T2w;
Chris@42 729 T37 = T2s + T2t;
Chris@42 730 T3a = T37 + T36;
Chris@42 731 T38 = KP559016994 * (T36 - T37);
Chris@42 732 T3b = FNMS(KP250000000, T3a, T39);
Chris@42 733 }
Chris@42 734 ci[WS(rs, 9)] = T3a + T39;
Chris@42 735 T3e = T38 + T3b;
Chris@42 736 cr[WS(rs, 8)] = T3d - T3e;
Chris@42 737 ci[WS(rs, 12)] = T3d + T3e;
Chris@42 738 T3c = T38 - T3b;
Chris@42 739 cr[WS(rs, 11)] = T35 + T3c;
Chris@42 740 cr[WS(rs, 14)] = T3c - T35;
Chris@42 741 }
Chris@42 742 {
Chris@42 743 E T2X, T31, T2U, T2P, T2Y, T2Z, T32, T30;
Chris@42 744 {
Chris@42 745 E T2V, T2W, T2N, T2O;
Chris@42 746 T2V = T1T - T1U;
Chris@42 747 T2W = T1Q - T1R;
Chris@42 748 T2X = FNMS(KP587785252, T2W, KP951056516 * T2V);
Chris@42 749 T31 = FMA(KP951056516, T2W, KP587785252 * T2V);
Chris@42 750 T2U = T2Q + T2T;
Chris@42 751 T2N = T2k - T2f;
Chris@42 752 T2O = T24 + T29;
Chris@42 753 T2P = T2N - T2O;
Chris@42 754 T2Y = FMA(KP250000000, T2P, T2U);
Chris@42 755 T2Z = KP559016994 * (T2O + T2N);
Chris@42 756 }
Chris@42 757 cr[WS(rs, 10)] = T2P - T2U;
Chris@42 758 T32 = T2Z + T2Y;
Chris@42 759 ci[WS(rs, 10)] = T31 + T32;
Chris@42 760 ci[WS(rs, 13)] = T32 - T31;
Chris@42 761 T30 = T2Y - T2Z;
Chris@42 762 cr[WS(rs, 13)] = T2X - T30;
Chris@42 763 ci[WS(rs, 7)] = T2X + T30;
Chris@42 764 }
Chris@42 765 {
Chris@42 766 E T2m, T2o, T1P, T1W, T1X, T1Y, T1Z, T2n;
Chris@42 767 {
Chris@42 768 E T2a, T2l, T1S, T1V;
Chris@42 769 T2a = T24 - T29;
Chris@42 770 T2l = T2f + T2k;
Chris@42 771 T2m = FMA(KP951056516, T2a, KP587785252 * T2l);
Chris@42 772 T2o = FNMS(KP587785252, T2a, KP951056516 * T2l);
Chris@42 773 T1P = T1n + T1q;
Chris@42 774 T1S = T1Q + T1R;
Chris@42 775 T1V = T1T + T1U;
Chris@42 776 T1W = T1S + T1V;
Chris@42 777 T1X = KP559016994 * (T1S - T1V);
Chris@42 778 T1Y = FNMS(KP250000000, T1W, T1P);
Chris@42 779 }
Chris@42 780 ci[WS(rs, 4)] = T1P + T1W;
Chris@42 781 T1Z = T1X + T1Y;
Chris@42 782 cr[WS(rs, 4)] = T1Z - T2m;
Chris@42 783 cr[WS(rs, 1)] = T1Z + T2m;
Chris@42 784 T2n = T1Y - T1X;
Chris@42 785 cr[WS(rs, 7)] = T2n - T2o;
Chris@42 786 ci[WS(rs, 1)] = T2n + T2o;
Chris@42 787 }
Chris@42 788 }
Chris@42 789 }
Chris@42 790 }
Chris@42 791
Chris@42 792 static const tw_instr twinstr[] = {
Chris@42 793 {TW_FULL, 1, 15},
Chris@42 794 {TW_NEXT, 1, 0}
Chris@42 795 };
Chris@42 796
Chris@42 797 static const hc2hc_desc desc = { 15, "hf_15", twinstr, &GENUS, {128, 56, 56, 0} };
Chris@42 798
Chris@42 799 void X(codelet_hf_15) (planner *p) {
Chris@42 800 X(khc2hc_register) (p, hf_15, &desc);
Chris@42 801 }
Chris@42 802 #endif /* HAVE_FMA */