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annotate src/fftw-3.3.5/rdft/scalar/r2cf/hf2_16.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 16:46:49 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 -twiddle-log3 -precompute-twiddles -n 16 -dit -name hf2_16 -include hf.h */
Chris@42 29
Chris@42 30 /*
Chris@42 31 * This function contains 196 FP additions, 134 FP multiplications,
Chris@42 32 * (or, 104 additions, 42 multiplications, 92 fused multiply/add),
Chris@42 33 * 106 stack variables, 3 constants, and 64 memory accesses
Chris@42 34 */
Chris@42 35 #include "hf.h"
Chris@42 36
Chris@42 37 static void hf2_16(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@42 38 {
Chris@42 39 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@42 40 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
Chris@42 41 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@42 42 {
Chris@42 43 INT m;
Chris@42 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)) {
Chris@42 45 E T35, T32;
Chris@42 46 {
Chris@42 47 E T2, Tf, TM, TO, T3, Tg, TN, TS, T4, Tp, T6, T5, Th;
Chris@42 48 T2 = W[0];
Chris@42 49 Tf = W[2];
Chris@42 50 TM = W[6];
Chris@42 51 TO = W[7];
Chris@42 52 T3 = W[4];
Chris@42 53 Tg = T2 * Tf;
Chris@42 54 TN = T2 * TM;
Chris@42 55 TS = T2 * TO;
Chris@42 56 T4 = T2 * T3;
Chris@42 57 Tp = Tf * T3;
Chris@42 58 T6 = W[5];
Chris@42 59 T5 = W[1];
Chris@42 60 Th = W[3];
Chris@42 61 {
Chris@42 62 E TZ, Te, T1U, T3A, T3M, T2w, T1G, T2I, T3h, T1R, T2D, T2B, T3i, Tx, T3L;
Chris@42 63 E T1Z, T3w, TL, T21, T26, T38, T1d, T2h, T2s, T3c, T1s, T2t, T2m, T3d, TX;
Chris@42 64 E T10, TV, T2a, TY, T2b;
Chris@42 65 {
Chris@42 66 E TF, TP, TT, Tq, TW, Tz, Tu, TI, TC, T1m, T1f, T1p, T1j, Tr, Ts;
Chris@42 67 E Tv, To, T1W;
Chris@42 68 {
Chris@42 69 E Ti, Tm, T1L, T1O, T1D, T1A, T1x, T2G, T1F, T2F;
Chris@42 70 {
Chris@42 71 E T1, T7, Tb, T3z, T8, T1z, T9, Tc;
Chris@42 72 {
Chris@42 73 E T1i, T1e, T1C, T1y, Tt, Ta, Tl;
Chris@42 74 T1 = cr[0];
Chris@42 75 Tt = Tf * T6;
Chris@42 76 Ta = T2 * T6;
Chris@42 77 T7 = FMA(T5, T6, T4);
Chris@42 78 TF = FNMS(T5, T6, T4);
Chris@42 79 TP = FMA(T5, TO, TN);
Chris@42 80 TT = FNMS(T5, TM, TS);
Chris@42 81 Tq = FNMS(Th, T6, Tp);
Chris@42 82 TW = FMA(Th, T6, Tp);
Chris@42 83 Tz = FMA(T5, Th, Tg);
Chris@42 84 Ti = FNMS(T5, Th, Tg);
Chris@42 85 Tl = T2 * Th;
Chris@42 86 Tu = FMA(Th, T3, Tt);
Chris@42 87 TZ = FNMS(Th, T3, Tt);
Chris@42 88 TI = FMA(T5, T3, Ta);
Chris@42 89 Tb = FNMS(T5, T3, Ta);
Chris@42 90 T1i = Ti * T6;
Chris@42 91 T1e = Ti * T3;
Chris@42 92 T1C = Tz * T6;
Chris@42 93 T1y = Tz * T3;
Chris@42 94 Tm = FMA(T5, Tf, Tl);
Chris@42 95 TC = FNMS(T5, Tf, Tl);
Chris@42 96 T3z = ci[0];
Chris@42 97 T8 = cr[WS(rs, 8)];
Chris@42 98 T1m = FNMS(Tm, T6, T1e);
Chris@42 99 T1f = FMA(Tm, T6, T1e);
Chris@42 100 T1p = FMA(Tm, T3, T1i);
Chris@42 101 T1j = FNMS(Tm, T3, T1i);
Chris@42 102 T1L = FNMS(TC, T6, T1y);
Chris@42 103 T1z = FMA(TC, T6, T1y);
Chris@42 104 T1O = FMA(TC, T3, T1C);
Chris@42 105 T1D = FNMS(TC, T3, T1C);
Chris@42 106 T9 = T7 * T8;
Chris@42 107 Tc = ci[WS(rs, 8)];
Chris@42 108 }
Chris@42 109 {
Chris@42 110 E T1u, T1w, T1v, T2E, T3y, T1B, T1E, Td, T3x;
Chris@42 111 T1u = cr[WS(rs, 15)];
Chris@42 112 T1w = ci[WS(rs, 15)];
Chris@42 113 T1A = cr[WS(rs, 7)];
Chris@42 114 Td = FMA(Tb, Tc, T9);
Chris@42 115 T3x = T7 * Tc;
Chris@42 116 T1v = TM * T1u;
Chris@42 117 T2E = TM * T1w;
Chris@42 118 Te = T1 + Td;
Chris@42 119 T1U = T1 - Td;
Chris@42 120 T3y = FNMS(Tb, T8, T3x);
Chris@42 121 T1B = T1z * T1A;
Chris@42 122 T1E = ci[WS(rs, 7)];
Chris@42 123 T1x = FMA(TO, T1w, T1v);
Chris@42 124 T3A = T3y + T3z;
Chris@42 125 T3M = T3z - T3y;
Chris@42 126 T2G = T1z * T1E;
Chris@42 127 T1F = FMA(T1D, T1E, T1B);
Chris@42 128 T2F = FNMS(TO, T1u, T2E);
Chris@42 129 }
Chris@42 130 }
Chris@42 131 {
Chris@42 132 E T1H, T1I, T1J, T1M, T1P, T2H;
Chris@42 133 T1H = cr[WS(rs, 3)];
Chris@42 134 T2H = FNMS(T1D, T1A, T2G);
Chris@42 135 T2w = T1x - T1F;
Chris@42 136 T1G = T1x + T1F;
Chris@42 137 T1I = Tf * T1H;
Chris@42 138 T2I = T2F - T2H;
Chris@42 139 T3h = T2F + T2H;
Chris@42 140 T1J = ci[WS(rs, 3)];
Chris@42 141 T1M = cr[WS(rs, 11)];
Chris@42 142 T1P = ci[WS(rs, 11)];
Chris@42 143 {
Chris@42 144 E Tj, Tk, Tn, T1V;
Chris@42 145 {
Chris@42 146 E T1K, T2y, T1Q, T2A, T2x, T1N, T2z;
Chris@42 147 Tj = cr[WS(rs, 4)];
Chris@42 148 T1K = FMA(Th, T1J, T1I);
Chris@42 149 T2x = Tf * T1J;
Chris@42 150 T1N = T1L * T1M;
Chris@42 151 T2z = T1L * T1P;
Chris@42 152 Tk = Ti * Tj;
Chris@42 153 T2y = FNMS(Th, T1H, T2x);
Chris@42 154 T1Q = FMA(T1O, T1P, T1N);
Chris@42 155 T2A = FNMS(T1O, T1M, T2z);
Chris@42 156 Tn = ci[WS(rs, 4)];
Chris@42 157 Tr = cr[WS(rs, 12)];
Chris@42 158 T1R = T1K + T1Q;
Chris@42 159 T2D = T1Q - T1K;
Chris@42 160 T2B = T2y - T2A;
Chris@42 161 T3i = T2y + T2A;
Chris@42 162 T1V = Ti * Tn;
Chris@42 163 Ts = Tq * Tr;
Chris@42 164 Tv = ci[WS(rs, 12)];
Chris@42 165 }
Chris@42 166 To = FMA(Tm, Tn, Tk);
Chris@42 167 T1W = FNMS(Tm, Tj, T1V);
Chris@42 168 }
Chris@42 169 }
Chris@42 170 }
Chris@42 171 {
Chris@42 172 E T19, T1b, T18, T2p, T1a, T2q;
Chris@42 173 {
Chris@42 174 E TE, T23, TK, T25;
Chris@42 175 {
Chris@42 176 E TA, TD, TB, T22, TG, TJ, TH, T24, T1Y, Tw, T1X;
Chris@42 177 TA = cr[WS(rs, 2)];
Chris@42 178 Tw = FMA(Tu, Tv, Ts);
Chris@42 179 T1X = Tq * Tv;
Chris@42 180 TD = ci[WS(rs, 2)];
Chris@42 181 TB = Tz * TA;
Chris@42 182 Tx = To + Tw;
Chris@42 183 T3L = To - Tw;
Chris@42 184 T1Y = FNMS(Tu, Tr, T1X);
Chris@42 185 T22 = Tz * TD;
Chris@42 186 TG = cr[WS(rs, 10)];
Chris@42 187 TJ = ci[WS(rs, 10)];
Chris@42 188 T1Z = T1W - T1Y;
Chris@42 189 T3w = T1W + T1Y;
Chris@42 190 TH = TF * TG;
Chris@42 191 T24 = TF * TJ;
Chris@42 192 TE = FMA(TC, TD, TB);
Chris@42 193 T23 = FNMS(TC, TA, T22);
Chris@42 194 TK = FMA(TI, TJ, TH);
Chris@42 195 T25 = FNMS(TI, TG, T24);
Chris@42 196 }
Chris@42 197 {
Chris@42 198 E T15, T17, T16, T2o;
Chris@42 199 T15 = cr[WS(rs, 1)];
Chris@42 200 T17 = ci[WS(rs, 1)];
Chris@42 201 TL = TE + TK;
Chris@42 202 T21 = TE - TK;
Chris@42 203 T26 = T23 - T25;
Chris@42 204 T38 = T23 + T25;
Chris@42 205 T16 = T2 * T15;
Chris@42 206 T2o = T2 * T17;
Chris@42 207 T19 = cr[WS(rs, 9)];
Chris@42 208 T1b = ci[WS(rs, 9)];
Chris@42 209 T18 = FMA(T5, T17, T16);
Chris@42 210 T2p = FNMS(T5, T15, T2o);
Chris@42 211 T1a = T3 * T19;
Chris@42 212 T2q = T3 * T1b;
Chris@42 213 }
Chris@42 214 }
Chris@42 215 {
Chris@42 216 E T1n, T1q, T1l, T2j, T1o, T2k;
Chris@42 217 {
Chris@42 218 E T1g, T1k, T1h, T2i, T1c, T2r;
Chris@42 219 T1g = cr[WS(rs, 5)];
Chris@42 220 T1k = ci[WS(rs, 5)];
Chris@42 221 T1c = FMA(T6, T1b, T1a);
Chris@42 222 T2r = FNMS(T6, T19, T2q);
Chris@42 223 T1h = T1f * T1g;
Chris@42 224 T2i = T1f * T1k;
Chris@42 225 T1d = T18 + T1c;
Chris@42 226 T2h = T18 - T1c;
Chris@42 227 T2s = T2p - T2r;
Chris@42 228 T3c = T2p + T2r;
Chris@42 229 T1n = cr[WS(rs, 13)];
Chris@42 230 T1q = ci[WS(rs, 13)];
Chris@42 231 T1l = FMA(T1j, T1k, T1h);
Chris@42 232 T2j = FNMS(T1j, T1g, T2i);
Chris@42 233 T1o = T1m * T1n;
Chris@42 234 T2k = T1m * T1q;
Chris@42 235 }
Chris@42 236 {
Chris@42 237 E TQ, TU, TR, T29, T1r, T2l;
Chris@42 238 TQ = cr[WS(rs, 14)];
Chris@42 239 TU = ci[WS(rs, 14)];
Chris@42 240 T1r = FMA(T1p, T1q, T1o);
Chris@42 241 T2l = FNMS(T1p, T1n, T2k);
Chris@42 242 TR = TP * TQ;
Chris@42 243 T29 = TP * TU;
Chris@42 244 T1s = T1l + T1r;
Chris@42 245 T2t = T1l - T1r;
Chris@42 246 T2m = T2j - T2l;
Chris@42 247 T3d = T2j + T2l;
Chris@42 248 TX = cr[WS(rs, 6)];
Chris@42 249 T10 = ci[WS(rs, 6)];
Chris@42 250 TV = FMA(TT, TU, TR);
Chris@42 251 T2a = FNMS(TT, TQ, T29);
Chris@42 252 TY = TW * TX;
Chris@42 253 T2b = TW * T10;
Chris@42 254 }
Chris@42 255 }
Chris@42 256 }
Chris@42 257 }
Chris@42 258 {
Chris@42 259 E T36, T3G, T3b, T3g, T28, T2d, T3F, T39, T3j, T3q, T3C, T3e, T3u, T3t;
Chris@42 260 {
Chris@42 261 E T3D, T1T, T3r, T14, T3E, T3s;
Chris@42 262 {
Chris@42 263 E Ty, T3B, T11, T2c, T13, T3v;
Chris@42 264 T36 = Te - Tx;
Chris@42 265 Ty = Te + Tx;
Chris@42 266 T3B = T3w + T3A;
Chris@42 267 T3G = T3A - T3w;
Chris@42 268 T11 = FMA(TZ, T10, TY);
Chris@42 269 T2c = FNMS(TZ, TX, T2b);
Chris@42 270 {
Chris@42 271 E T1t, T1S, T12, T37;
Chris@42 272 T3b = T1d - T1s;
Chris@42 273 T1t = T1d + T1s;
Chris@42 274 T1S = T1G + T1R;
Chris@42 275 T3g = T1G - T1R;
Chris@42 276 T12 = TV + T11;
Chris@42 277 T28 = TV - T11;
Chris@42 278 T2d = T2a - T2c;
Chris@42 279 T37 = T2a + T2c;
Chris@42 280 T3D = T1S - T1t;
Chris@42 281 T1T = T1t + T1S;
Chris@42 282 T13 = TL + T12;
Chris@42 283 T3F = TL - T12;
Chris@42 284 T39 = T37 - T38;
Chris@42 285 T3v = T38 + T37;
Chris@42 286 }
Chris@42 287 T3j = T3h - T3i;
Chris@42 288 T3r = T3h + T3i;
Chris@42 289 T3q = Ty - T13;
Chris@42 290 T14 = Ty + T13;
Chris@42 291 T3E = T3B - T3v;
Chris@42 292 T3C = T3v + T3B;
Chris@42 293 T3s = T3c + T3d;
Chris@42 294 T3e = T3c - T3d;
Chris@42 295 }
Chris@42 296 ci[WS(rs, 7)] = T14 - T1T;
Chris@42 297 cr[WS(rs, 12)] = T3D - T3E;
Chris@42 298 ci[WS(rs, 11)] = T3D + T3E;
Chris@42 299 T3u = T3s + T3r;
Chris@42 300 T3t = T3r - T3s;
Chris@42 301 cr[0] = T14 + T1T;
Chris@42 302 }
Chris@42 303 {
Chris@42 304 E T3m, T3a, T3J, T3H;
Chris@42 305 ci[WS(rs, 15)] = T3u + T3C;
Chris@42 306 cr[WS(rs, 8)] = T3u - T3C;
Chris@42 307 ci[WS(rs, 3)] = T3q + T3t;
Chris@42 308 cr[WS(rs, 4)] = T3q - T3t;
Chris@42 309 T3m = T36 + T39;
Chris@42 310 T3a = T36 - T39;
Chris@42 311 T3J = T3G - T3F;
Chris@42 312 T3H = T3F + T3G;
Chris@42 313 {
Chris@42 314 E T2Q, T20, T3N, T3T, T2C, T2J, T3U, T2f, T33, T30, T2V, T2W, T3O, T2T, T2N;
Chris@42 315 E T2v;
Chris@42 316 {
Chris@42 317 E T2R, T27, T2e, T2S;
Chris@42 318 {
Chris@42 319 E T3n, T3f, T3o, T3k;
Chris@42 320 T2Q = T1U + T1Z;
Chris@42 321 T20 = T1U - T1Z;
Chris@42 322 T3n = T3b - T3e;
Chris@42 323 T3f = T3b + T3e;
Chris@42 324 T3o = T3g + T3j;
Chris@42 325 T3k = T3g - T3j;
Chris@42 326 T3N = T3L + T3M;
Chris@42 327 T3T = T3M - T3L;
Chris@42 328 {
Chris@42 329 E T3p, T3K, T3I, T3l;
Chris@42 330 T3p = T3n + T3o;
Chris@42 331 T3K = T3o - T3n;
Chris@42 332 T3I = T3k - T3f;
Chris@42 333 T3l = T3f + T3k;
Chris@42 334 ci[WS(rs, 1)] = FMA(KP707106781, T3p, T3m);
Chris@42 335 cr[WS(rs, 6)] = FNMS(KP707106781, T3p, T3m);
Chris@42 336 ci[WS(rs, 13)] = FMA(KP707106781, T3K, T3J);
Chris@42 337 cr[WS(rs, 10)] = FMS(KP707106781, T3K, T3J);
Chris@42 338 ci[WS(rs, 9)] = FMA(KP707106781, T3I, T3H);
Chris@42 339 cr[WS(rs, 14)] = FMS(KP707106781, T3I, T3H);
Chris@42 340 cr[WS(rs, 2)] = FMA(KP707106781, T3l, T3a);
Chris@42 341 ci[WS(rs, 5)] = FNMS(KP707106781, T3l, T3a);
Chris@42 342 T2R = T21 + T26;
Chris@42 343 T27 = T21 - T26;
Chris@42 344 T2e = T28 + T2d;
Chris@42 345 T2S = T28 - T2d;
Chris@42 346 }
Chris@42 347 }
Chris@42 348 {
Chris@42 349 E T2Y, T2Z, T2n, T2u;
Chris@42 350 T2C = T2w - T2B;
Chris@42 351 T2Y = T2w + T2B;
Chris@42 352 T2Z = T2I + T2D;
Chris@42 353 T2J = T2D - T2I;
Chris@42 354 T3U = T2e - T27;
Chris@42 355 T2f = T27 + T2e;
Chris@42 356 T33 = FMA(KP414213562, T2Y, T2Z);
Chris@42 357 T30 = FNMS(KP414213562, T2Z, T2Y);
Chris@42 358 T2V = T2h + T2m;
Chris@42 359 T2n = T2h - T2m;
Chris@42 360 T2u = T2s + T2t;
Chris@42 361 T2W = T2s - T2t;
Chris@42 362 T3O = T2R - T2S;
Chris@42 363 T2T = T2R + T2S;
Chris@42 364 T2N = FMA(KP414213562, T2n, T2u);
Chris@42 365 T2v = FNMS(KP414213562, T2u, T2n);
Chris@42 366 }
Chris@42 367 }
Chris@42 368 {
Chris@42 369 E T2M, T3S, T31, T2P, T3Q, T3R, T3P, T2U;
Chris@42 370 {
Chris@42 371 E T2g, T2X, T2O, T2K, T3V, T3X, T3W, T34, T2L, T3Y;
Chris@42 372 T2M = FNMS(KP707106781, T2f, T20);
Chris@42 373 T2g = FMA(KP707106781, T2f, T20);
Chris@42 374 T34 = FNMS(KP414213562, T2V, T2W);
Chris@42 375 T2X = FMA(KP414213562, T2W, T2V);
Chris@42 376 T2O = FMA(KP414213562, T2C, T2J);
Chris@42 377 T2K = FNMS(KP414213562, T2J, T2C);
Chris@42 378 T3V = FMA(KP707106781, T3U, T3T);
Chris@42 379 T3X = FNMS(KP707106781, T3U, T3T);
Chris@42 380 T35 = T33 - T34;
Chris@42 381 T3W = T34 + T33;
Chris@42 382 T3S = T2K - T2v;
Chris@42 383 T2L = T2v + T2K;
Chris@42 384 T3Y = T30 - T2X;
Chris@42 385 T31 = T2X + T30;
Chris@42 386 ci[WS(rs, 14)] = FMA(KP923879532, T3W, T3V);
Chris@42 387 cr[WS(rs, 9)] = FMS(KP923879532, T3W, T3V);
Chris@42 388 ci[0] = FMA(KP923879532, T2L, T2g);
Chris@42 389 cr[WS(rs, 7)] = FNMS(KP923879532, T2L, T2g);
Chris@42 390 cr[WS(rs, 13)] = FMS(KP923879532, T3Y, T3X);
Chris@42 391 ci[WS(rs, 10)] = FMA(KP923879532, T3Y, T3X);
Chris@42 392 T2P = T2N + T2O;
Chris@42 393 T3Q = T2O - T2N;
Chris@42 394 }
Chris@42 395 T32 = FNMS(KP707106781, T2T, T2Q);
Chris@42 396 T2U = FMA(KP707106781, T2T, T2Q);
Chris@42 397 T3R = FNMS(KP707106781, T3O, T3N);
Chris@42 398 T3P = FMA(KP707106781, T3O, T3N);
Chris@42 399 cr[WS(rs, 3)] = FMA(KP923879532, T2P, T2M);
Chris@42 400 ci[WS(rs, 4)] = FNMS(KP923879532, T2P, T2M);
Chris@42 401 cr[WS(rs, 1)] = FMA(KP923879532, T31, T2U);
Chris@42 402 ci[WS(rs, 6)] = FNMS(KP923879532, T31, T2U);
Chris@42 403 ci[WS(rs, 8)] = FMA(KP923879532, T3Q, T3P);
Chris@42 404 cr[WS(rs, 15)] = FMS(KP923879532, T3Q, T3P);
Chris@42 405 ci[WS(rs, 12)] = FMA(KP923879532, T3S, T3R);
Chris@42 406 cr[WS(rs, 11)] = FMS(KP923879532, T3S, T3R);
Chris@42 407 }
Chris@42 408 }
Chris@42 409 }
Chris@42 410 }
Chris@42 411 }
Chris@42 412 }
Chris@42 413 ci[WS(rs, 2)] = FMA(KP923879532, T35, T32);
Chris@42 414 cr[WS(rs, 5)] = FNMS(KP923879532, T35, T32);
Chris@42 415 }
Chris@42 416 }
Chris@42 417 }
Chris@42 418
Chris@42 419 static const tw_instr twinstr[] = {
Chris@42 420 {TW_CEXP, 1, 1},
Chris@42 421 {TW_CEXP, 1, 3},
Chris@42 422 {TW_CEXP, 1, 9},
Chris@42 423 {TW_CEXP, 1, 15},
Chris@42 424 {TW_NEXT, 1, 0}
Chris@42 425 };
Chris@42 426
Chris@42 427 static const hc2hc_desc desc = { 16, "hf2_16", twinstr, &GENUS, {104, 42, 92, 0} };
Chris@42 428
Chris@42 429 void X(codelet_hf2_16) (planner *p) {
Chris@42 430 X(khc2hc_register) (p, hf2_16, &desc);
Chris@42 431 }
Chris@42 432 #else /* HAVE_FMA */
Chris@42 433
Chris@42 434 /* 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 */
Chris@42 435
Chris@42 436 /*
Chris@42 437 * This function contains 196 FP additions, 108 FP multiplications,
Chris@42 438 * (or, 156 additions, 68 multiplications, 40 fused multiply/add),
Chris@42 439 * 82 stack variables, 3 constants, and 64 memory accesses
Chris@42 440 */
Chris@42 441 #include "hf.h"
Chris@42 442
Chris@42 443 static void hf2_16(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@42 444 {
Chris@42 445 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
Chris@42 446 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@42 447 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@42 448 {
Chris@42 449 INT m;
Chris@42 450 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)) {
Chris@42 451 E T2, T5, Tg, Ti, Tk, To, TE, TC, T6, T3, T8, TW, TJ, Tt, TU;
Chris@42 452 E Tc, Tx, TH, TN, TO, TP, TR, T1f, T1k, T1b, T1i, T1y, T1H, T1u, T1F;
Chris@42 453 {
Chris@42 454 E T7, Tv, Ta, Ts, T4, Tw, Tb, Tr;
Chris@42 455 {
Chris@42 456 E Th, Tn, Tj, Tm;
Chris@42 457 T2 = W[0];
Chris@42 458 T5 = W[1];
Chris@42 459 Tg = W[2];
Chris@42 460 Ti = W[3];
Chris@42 461 Th = T2 * Tg;
Chris@42 462 Tn = T5 * Tg;
Chris@42 463 Tj = T5 * Ti;
Chris@42 464 Tm = T2 * Ti;
Chris@42 465 Tk = Th - Tj;
Chris@42 466 To = Tm + Tn;
Chris@42 467 TE = Tm - Tn;
Chris@42 468 TC = Th + Tj;
Chris@42 469 T6 = W[5];
Chris@42 470 T7 = T5 * T6;
Chris@42 471 Tv = Tg * T6;
Chris@42 472 Ta = T2 * T6;
Chris@42 473 Ts = Ti * T6;
Chris@42 474 T3 = W[4];
Chris@42 475 T4 = T2 * T3;
Chris@42 476 Tw = Ti * T3;
Chris@42 477 Tb = T5 * T3;
Chris@42 478 Tr = Tg * T3;
Chris@42 479 }
Chris@42 480 T8 = T4 + T7;
Chris@42 481 TW = Tv - Tw;
Chris@42 482 TJ = Ta + Tb;
Chris@42 483 Tt = Tr - Ts;
Chris@42 484 TU = Tr + Ts;
Chris@42 485 Tc = Ta - Tb;
Chris@42 486 Tx = Tv + Tw;
Chris@42 487 TH = T4 - T7;
Chris@42 488 TN = W[6];
Chris@42 489 TO = W[7];
Chris@42 490 TP = FMA(T2, TN, T5 * TO);
Chris@42 491 TR = FNMS(T5, TN, T2 * TO);
Chris@42 492 {
Chris@42 493 E T1d, T1e, T19, T1a;
Chris@42 494 T1d = Tk * T6;
Chris@42 495 T1e = To * T3;
Chris@42 496 T1f = T1d - T1e;
Chris@42 497 T1k = T1d + T1e;
Chris@42 498 T19 = Tk * T3;
Chris@42 499 T1a = To * T6;
Chris@42 500 T1b = T19 + T1a;
Chris@42 501 T1i = T19 - T1a;
Chris@42 502 }
Chris@42 503 {
Chris@42 504 E T1w, T1x, T1s, T1t;
Chris@42 505 T1w = TC * T6;
Chris@42 506 T1x = TE * T3;
Chris@42 507 T1y = T1w - T1x;
Chris@42 508 T1H = T1w + T1x;
Chris@42 509 T1s = TC * T3;
Chris@42 510 T1t = TE * T6;
Chris@42 511 T1u = T1s + T1t;
Chris@42 512 T1F = T1s - T1t;
Chris@42 513 }
Chris@42 514 }
Chris@42 515 {
Chris@42 516 E Tf, T3s, T1N, T3e, TA, T3r, T1Q, T3b, TM, T2N, T1W, T2w, TZ, T2M, T21;
Chris@42 517 E T2x, T1B, T1K, T2V, T2W, T2X, T2Y, T2j, T2E, T2o, T2D, T18, T1n, T2Q, T2R;
Chris@42 518 E T2S, T2T, T28, T2B, T2d, T2A;
Chris@42 519 {
Chris@42 520 E T1, T3d, Te, T3c, T9, Td;
Chris@42 521 T1 = cr[0];
Chris@42 522 T3d = ci[0];
Chris@42 523 T9 = cr[WS(rs, 8)];
Chris@42 524 Td = ci[WS(rs, 8)];
Chris@42 525 Te = FMA(T8, T9, Tc * Td);
Chris@42 526 T3c = FNMS(Tc, T9, T8 * Td);
Chris@42 527 Tf = T1 + Te;
Chris@42 528 T3s = T3d - T3c;
Chris@42 529 T1N = T1 - Te;
Chris@42 530 T3e = T3c + T3d;
Chris@42 531 }
Chris@42 532 {
Chris@42 533 E Tq, T1O, Tz, T1P;
Chris@42 534 {
Chris@42 535 E Tl, Tp, Tu, Ty;
Chris@42 536 Tl = cr[WS(rs, 4)];
Chris@42 537 Tp = ci[WS(rs, 4)];
Chris@42 538 Tq = FMA(Tk, Tl, To * Tp);
Chris@42 539 T1O = FNMS(To, Tl, Tk * Tp);
Chris@42 540 Tu = cr[WS(rs, 12)];
Chris@42 541 Ty = ci[WS(rs, 12)];
Chris@42 542 Tz = FMA(Tt, Tu, Tx * Ty);
Chris@42 543 T1P = FNMS(Tx, Tu, Tt * Ty);
Chris@42 544 }
Chris@42 545 TA = Tq + Tz;
Chris@42 546 T3r = Tq - Tz;
Chris@42 547 T1Q = T1O - T1P;
Chris@42 548 T3b = T1O + T1P;
Chris@42 549 }
Chris@42 550 {
Chris@42 551 E TG, T1T, TL, T1U, T1S, T1V;
Chris@42 552 {
Chris@42 553 E TD, TF, TI, TK;
Chris@42 554 TD = cr[WS(rs, 2)];
Chris@42 555 TF = ci[WS(rs, 2)];
Chris@42 556 TG = FMA(TC, TD, TE * TF);
Chris@42 557 T1T = FNMS(TE, TD, TC * TF);
Chris@42 558 TI = cr[WS(rs, 10)];
Chris@42 559 TK = ci[WS(rs, 10)];
Chris@42 560 TL = FMA(TH, TI, TJ * TK);
Chris@42 561 T1U = FNMS(TJ, TI, TH * TK);
Chris@42 562 }
Chris@42 563 TM = TG + TL;
Chris@42 564 T2N = T1T + T1U;
Chris@42 565 T1S = TG - TL;
Chris@42 566 T1V = T1T - T1U;
Chris@42 567 T1W = T1S - T1V;
Chris@42 568 T2w = T1S + T1V;
Chris@42 569 }
Chris@42 570 {
Chris@42 571 E TT, T1Y, TY, T1Z, T1X, T20;
Chris@42 572 {
Chris@42 573 E TQ, TS, TV, TX;
Chris@42 574 TQ = cr[WS(rs, 14)];
Chris@42 575 TS = ci[WS(rs, 14)];
Chris@42 576 TT = FMA(TP, TQ, TR * TS);
Chris@42 577 T1Y = FNMS(TR, TQ, TP * TS);
Chris@42 578 TV = cr[WS(rs, 6)];
Chris@42 579 TX = ci[WS(rs, 6)];
Chris@42 580 TY = FMA(TU, TV, TW * TX);
Chris@42 581 T1Z = FNMS(TW, TV, TU * TX);
Chris@42 582 }
Chris@42 583 TZ = TT + TY;
Chris@42 584 T2M = T1Y + T1Z;
Chris@42 585 T1X = TT - TY;
Chris@42 586 T20 = T1Y - T1Z;
Chris@42 587 T21 = T1X + T20;
Chris@42 588 T2x = T1X - T20;
Chris@42 589 }
Chris@42 590 {
Chris@42 591 E T1r, T2f, T1J, T2m, T1A, T2g, T1E, T2l;
Chris@42 592 {
Chris@42 593 E T1p, T1q, T1G, T1I;
Chris@42 594 T1p = cr[WS(rs, 15)];
Chris@42 595 T1q = ci[WS(rs, 15)];
Chris@42 596 T1r = FMA(TN, T1p, TO * T1q);
Chris@42 597 T2f = FNMS(TO, T1p, TN * T1q);
Chris@42 598 T1G = cr[WS(rs, 11)];
Chris@42 599 T1I = ci[WS(rs, 11)];
Chris@42 600 T1J = FMA(T1F, T1G, T1H * T1I);
Chris@42 601 T2m = FNMS(T1H, T1G, T1F * T1I);
Chris@42 602 }
Chris@42 603 {
Chris@42 604 E T1v, T1z, T1C, T1D;
Chris@42 605 T1v = cr[WS(rs, 7)];
Chris@42 606 T1z = ci[WS(rs, 7)];
Chris@42 607 T1A = FMA(T1u, T1v, T1y * T1z);
Chris@42 608 T2g = FNMS(T1y, T1v, T1u * T1z);
Chris@42 609 T1C = cr[WS(rs, 3)];
Chris@42 610 T1D = ci[WS(rs, 3)];
Chris@42 611 T1E = FMA(Tg, T1C, Ti * T1D);
Chris@42 612 T2l = FNMS(Ti, T1C, Tg * T1D);
Chris@42 613 }
Chris@42 614 T1B = T1r + T1A;
Chris@42 615 T1K = T1E + T1J;
Chris@42 616 T2V = T1B - T1K;
Chris@42 617 T2W = T2f + T2g;
Chris@42 618 T2X = T2l + T2m;
Chris@42 619 T2Y = T2W - T2X;
Chris@42 620 {
Chris@42 621 E T2h, T2i, T2k, T2n;
Chris@42 622 T2h = T2f - T2g;
Chris@42 623 T2i = T1E - T1J;
Chris@42 624 T2j = T2h + T2i;
Chris@42 625 T2E = T2h - T2i;
Chris@42 626 T2k = T1r - T1A;
Chris@42 627 T2n = T2l - T2m;
Chris@42 628 T2o = T2k - T2n;
Chris@42 629 T2D = T2k + T2n;
Chris@42 630 }
Chris@42 631 }
Chris@42 632 {
Chris@42 633 E T14, T29, T1m, T26, T17, T2a, T1h, T25;
Chris@42 634 {
Chris@42 635 E T12, T13, T1j, T1l;
Chris@42 636 T12 = cr[WS(rs, 1)];
Chris@42 637 T13 = ci[WS(rs, 1)];
Chris@42 638 T14 = FMA(T2, T12, T5 * T13);
Chris@42 639 T29 = FNMS(T5, T12, T2 * T13);
Chris@42 640 T1j = cr[WS(rs, 13)];
Chris@42 641 T1l = ci[WS(rs, 13)];
Chris@42 642 T1m = FMA(T1i, T1j, T1k * T1l);
Chris@42 643 T26 = FNMS(T1k, T1j, T1i * T1l);
Chris@42 644 }
Chris@42 645 {
Chris@42 646 E T15, T16, T1c, T1g;
Chris@42 647 T15 = cr[WS(rs, 9)];
Chris@42 648 T16 = ci[WS(rs, 9)];
Chris@42 649 T17 = FMA(T3, T15, T6 * T16);
Chris@42 650 T2a = FNMS(T6, T15, T3 * T16);
Chris@42 651 T1c = cr[WS(rs, 5)];
Chris@42 652 T1g = ci[WS(rs, 5)];
Chris@42 653 T1h = FMA(T1b, T1c, T1f * T1g);
Chris@42 654 T25 = FNMS(T1f, T1c, T1b * T1g);
Chris@42 655 }
Chris@42 656 T18 = T14 + T17;
Chris@42 657 T1n = T1h + T1m;
Chris@42 658 T2Q = T18 - T1n;
Chris@42 659 T2R = T29 + T2a;
Chris@42 660 T2S = T25 + T26;
Chris@42 661 T2T = T2R - T2S;
Chris@42 662 {
Chris@42 663 E T24, T27, T2b, T2c;
Chris@42 664 T24 = T14 - T17;
Chris@42 665 T27 = T25 - T26;
Chris@42 666 T28 = T24 - T27;
Chris@42 667 T2B = T24 + T27;
Chris@42 668 T2b = T29 - T2a;
Chris@42 669 T2c = T1h - T1m;
Chris@42 670 T2d = T2b + T2c;
Chris@42 671 T2A = T2b - T2c;
Chris@42 672 }
Chris@42 673 }
Chris@42 674 {
Chris@42 675 E T23, T2r, T3u, T3w, T2q, T3v, T2u, T3p;
Chris@42 676 {
Chris@42 677 E T1R, T22, T3q, T3t;
Chris@42 678 T1R = T1N - T1Q;
Chris@42 679 T22 = KP707106781 * (T1W + T21);
Chris@42 680 T23 = T1R + T22;
Chris@42 681 T2r = T1R - T22;
Chris@42 682 T3q = KP707106781 * (T2w - T2x);
Chris@42 683 T3t = T3r + T3s;
Chris@42 684 T3u = T3q + T3t;
Chris@42 685 T3w = T3t - T3q;
Chris@42 686 }
Chris@42 687 {
Chris@42 688 E T2e, T2p, T2s, T2t;
Chris@42 689 T2e = FNMS(KP382683432, T2d, KP923879532 * T28);
Chris@42 690 T2p = FMA(KP382683432, T2j, KP923879532 * T2o);
Chris@42 691 T2q = T2e + T2p;
Chris@42 692 T3v = T2p - T2e;
Chris@42 693 T2s = FMA(KP923879532, T2d, KP382683432 * T28);
Chris@42 694 T2t = FNMS(KP923879532, T2j, KP382683432 * T2o);
Chris@42 695 T2u = T2s + T2t;
Chris@42 696 T3p = T2t - T2s;
Chris@42 697 }
Chris@42 698 cr[WS(rs, 7)] = T23 - T2q;
Chris@42 699 cr[WS(rs, 11)] = T3v - T3w;
Chris@42 700 ci[WS(rs, 12)] = T3v + T3w;
Chris@42 701 ci[0] = T23 + T2q;
Chris@42 702 ci[WS(rs, 4)] = T2r - T2u;
Chris@42 703 cr[WS(rs, 15)] = T3p - T3u;
Chris@42 704 ci[WS(rs, 8)] = T3p + T3u;
Chris@42 705 cr[WS(rs, 3)] = T2r + T2u;
Chris@42 706 }
Chris@42 707 {
Chris@42 708 E T11, T35, T3g, T3i, T1M, T3h, T38, T39;
Chris@42 709 {
Chris@42 710 E TB, T10, T3a, T3f;
Chris@42 711 TB = Tf + TA;
Chris@42 712 T10 = TM + TZ;
Chris@42 713 T11 = TB + T10;
Chris@42 714 T35 = TB - T10;
Chris@42 715 T3a = T2N + T2M;
Chris@42 716 T3f = T3b + T3e;
Chris@42 717 T3g = T3a + T3f;
Chris@42 718 T3i = T3f - T3a;
Chris@42 719 }
Chris@42 720 {
Chris@42 721 E T1o, T1L, T36, T37;
Chris@42 722 T1o = T18 + T1n;
Chris@42 723 T1L = T1B + T1K;
Chris@42 724 T1M = T1o + T1L;
Chris@42 725 T3h = T1L - T1o;
Chris@42 726 T36 = T2W + T2X;
Chris@42 727 T37 = T2R + T2S;
Chris@42 728 T38 = T36 - T37;
Chris@42 729 T39 = T37 + T36;
Chris@42 730 }
Chris@42 731 ci[WS(rs, 7)] = T11 - T1M;
Chris@42 732 cr[WS(rs, 12)] = T3h - T3i;
Chris@42 733 ci[WS(rs, 11)] = T3h + T3i;
Chris@42 734 cr[0] = T11 + T1M;
Chris@42 735 cr[WS(rs, 4)] = T35 - T38;
Chris@42 736 cr[WS(rs, 8)] = T39 - T3g;
Chris@42 737 ci[WS(rs, 15)] = T39 + T3g;
Chris@42 738 ci[WS(rs, 3)] = T35 + T38;
Chris@42 739 }
Chris@42 740 {
Chris@42 741 E T2z, T2H, T3A, T3C, T2G, T3B, T2K, T3x;
Chris@42 742 {
Chris@42 743 E T2v, T2y, T3y, T3z;
Chris@42 744 T2v = T1N + T1Q;
Chris@42 745 T2y = KP707106781 * (T2w + T2x);
Chris@42 746 T2z = T2v + T2y;
Chris@42 747 T2H = T2v - T2y;
Chris@42 748 T3y = KP707106781 * (T21 - T1W);
Chris@42 749 T3z = T3s - T3r;
Chris@42 750 T3A = T3y + T3z;
Chris@42 751 T3C = T3z - T3y;
Chris@42 752 }
Chris@42 753 {
Chris@42 754 E T2C, T2F, T2I, T2J;
Chris@42 755 T2C = FMA(KP382683432, T2A, KP923879532 * T2B);
Chris@42 756 T2F = FNMS(KP382683432, T2E, KP923879532 * T2D);
Chris@42 757 T2G = T2C + T2F;
Chris@42 758 T3B = T2F - T2C;
Chris@42 759 T2I = FNMS(KP923879532, T2A, KP382683432 * T2B);
Chris@42 760 T2J = FMA(KP923879532, T2E, KP382683432 * T2D);
Chris@42 761 T2K = T2I + T2J;
Chris@42 762 T3x = T2J - T2I;
Chris@42 763 }
Chris@42 764 ci[WS(rs, 6)] = T2z - T2G;
Chris@42 765 cr[WS(rs, 13)] = T3B - T3C;
Chris@42 766 ci[WS(rs, 10)] = T3B + T3C;
Chris@42 767 cr[WS(rs, 1)] = T2z + T2G;
Chris@42 768 cr[WS(rs, 5)] = T2H - T2K;
Chris@42 769 cr[WS(rs, 9)] = T3x - T3A;
Chris@42 770 ci[WS(rs, 14)] = T3x + T3A;
Chris@42 771 ci[WS(rs, 2)] = T2H + T2K;
Chris@42 772 }
Chris@42 773 {
Chris@42 774 E T2P, T31, T3m, T3o, T30, T3j, T34, T3n;
Chris@42 775 {
Chris@42 776 E T2L, T2O, T3k, T3l;
Chris@42 777 T2L = Tf - TA;
Chris@42 778 T2O = T2M - T2N;
Chris@42 779 T2P = T2L - T2O;
Chris@42 780 T31 = T2L + T2O;
Chris@42 781 T3k = TM - TZ;
Chris@42 782 T3l = T3e - T3b;
Chris@42 783 T3m = T3k + T3l;
Chris@42 784 T3o = T3l - T3k;
Chris@42 785 }
Chris@42 786 {
Chris@42 787 E T2U, T2Z, T32, T33;
Chris@42 788 T2U = T2Q + T2T;
Chris@42 789 T2Z = T2V - T2Y;
Chris@42 790 T30 = KP707106781 * (T2U + T2Z);
Chris@42 791 T3j = KP707106781 * (T2Z - T2U);
Chris@42 792 T32 = T2Q - T2T;
Chris@42 793 T33 = T2V + T2Y;
Chris@42 794 T34 = KP707106781 * (T32 + T33);
Chris@42 795 T3n = KP707106781 * (T33 - T32);
Chris@42 796 }
Chris@42 797 ci[WS(rs, 5)] = T2P - T30;
Chris@42 798 cr[WS(rs, 10)] = T3n - T3o;
Chris@42 799 ci[WS(rs, 13)] = T3n + T3o;
Chris@42 800 cr[WS(rs, 2)] = T2P + T30;
Chris@42 801 cr[WS(rs, 6)] = T31 - T34;
Chris@42 802 cr[WS(rs, 14)] = T3j - T3m;
Chris@42 803 ci[WS(rs, 9)] = T3j + T3m;
Chris@42 804 ci[WS(rs, 1)] = T31 + T34;
Chris@42 805 }
Chris@42 806 }
Chris@42 807 }
Chris@42 808 }
Chris@42 809 }
Chris@42 810
Chris@42 811 static const tw_instr twinstr[] = {
Chris@42 812 {TW_CEXP, 1, 1},
Chris@42 813 {TW_CEXP, 1, 3},
Chris@42 814 {TW_CEXP, 1, 9},
Chris@42 815 {TW_CEXP, 1, 15},
Chris@42 816 {TW_NEXT, 1, 0}
Chris@42 817 };
Chris@42 818
Chris@42 819 static const hc2hc_desc desc = { 16, "hf2_16", twinstr, &GENUS, {156, 68, 40, 0} };
Chris@42 820
Chris@42 821 void X(codelet_hf2_16) (planner *p) {
Chris@42 822 X(khc2hc_register) (p, hf2_16, &desc);
Chris@42 823 }
Chris@42 824 #endif /* HAVE_FMA */