annotate src/fftw-3.3.3/rdft/scalar/r2cf/hc2cf2_16.c @ 23:619f715526df sv_v2.1

Update Vamp plugin SDK to 2.5
author Chris Cannam
date Thu, 09 May 2013 10:52:46 +0100
parents 37bf6b4a2645
children
rev   line source
Chris@10 1 /*
Chris@10 2 * Copyright (c) 2003, 2007-11 Matteo Frigo
Chris@10 3 * Copyright (c) 2003, 2007-11 Massachusetts Institute of Technology
Chris@10 4 *
Chris@10 5 * This program is free software; you can redistribute it and/or modify
Chris@10 6 * it under the terms of the GNU General Public License as published by
Chris@10 7 * the Free Software Foundation; either version 2 of the License, or
Chris@10 8 * (at your option) any later version.
Chris@10 9 *
Chris@10 10 * This program is distributed in the hope that it will be useful,
Chris@10 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
Chris@10 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
Chris@10 13 * GNU General Public License for more details.
Chris@10 14 *
Chris@10 15 * You should have received a copy of the GNU General Public License
Chris@10 16 * along with this program; if not, write to the Free Software
Chris@10 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
Chris@10 18 *
Chris@10 19 */
Chris@10 20
Chris@10 21 /* This file was automatically generated --- DO NOT EDIT */
Chris@10 22 /* Generated on Sun Nov 25 07:40:42 EST 2012 */
Chris@10 23
Chris@10 24 #include "codelet-rdft.h"
Chris@10 25
Chris@10 26 #ifdef HAVE_FMA
Chris@10 27
Chris@10 28 /* Generated by: ../../../genfft/gen_hc2c.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 16 -dit -name hc2cf2_16 -include hc2cf.h */
Chris@10 29
Chris@10 30 /*
Chris@10 31 * This function contains 196 FP additions, 134 FP multiplications,
Chris@10 32 * (or, 104 additions, 42 multiplications, 92 fused multiply/add),
Chris@10 33 * 100 stack variables, 3 constants, and 64 memory accesses
Chris@10 34 */
Chris@10 35 #include "hc2cf.h"
Chris@10 36
Chris@10 37 static void hc2cf2_16(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@10 38 {
Chris@10 39 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@10 40 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
Chris@10 41 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@10 42 {
Chris@10 43 INT m;
Chris@10 44 for (m = mb, W = W + ((mb - 1) * 8); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 8, MAKE_VOLATILE_STRIDE(64, rs)) {
Chris@10 45 E T3S, T3R;
Chris@10 46 {
Chris@10 47 E T2, Tf, TM, TO, T3, Tg, TN, TS, T4, Tp, T6, T5, Th;
Chris@10 48 T2 = W[0];
Chris@10 49 Tf = W[2];
Chris@10 50 TM = W[6];
Chris@10 51 TO = W[7];
Chris@10 52 T3 = W[4];
Chris@10 53 Tg = T2 * Tf;
Chris@10 54 TN = T2 * TM;
Chris@10 55 TS = T2 * TO;
Chris@10 56 T4 = T2 * T3;
Chris@10 57 Tp = Tf * T3;
Chris@10 58 T6 = W[5];
Chris@10 59 T5 = W[1];
Chris@10 60 Th = W[3];
Chris@10 61 {
Chris@10 62 E TZ, Te, T1U, T3A, T3L, T2D, T1G, T2B, T3h, T1R, T2w, T2I, T3i, Tx, T3M;
Chris@10 63 E T1Z, T3w, TL, T26, T25, T37, T1d, T2o, T2l, T3c, T1s, T2m, T2t, T3d, TX;
Chris@10 64 E T10, TV, T2a, TY, T2b;
Chris@10 65 {
Chris@10 66 E TF, TP, TT, Tq, TW, Tz, Tu, TI, TC, T1m, T1f, T1p, T1j, Tr, Ts;
Chris@10 67 E Tv, To, T1W;
Chris@10 68 {
Chris@10 69 E Ti, Tm, T1L, T1O, T1D, T1A, T1x, T2z, T1F, T2y;
Chris@10 70 {
Chris@10 71 E T1, T7, Tb, T3z, T8, T1z, T9, Tc;
Chris@10 72 {
Chris@10 73 E T1i, T1e, T1C, T1y, Tt, Ta, Tl;
Chris@10 74 T1 = Rp[0];
Chris@10 75 Tt = Tf * T6;
Chris@10 76 Ta = T2 * T6;
Chris@10 77 T7 = FMA(T5, T6, T4);
Chris@10 78 TF = FNMS(T5, T6, T4);
Chris@10 79 TP = FMA(T5, TO, TN);
Chris@10 80 TT = FNMS(T5, TM, TS);
Chris@10 81 Tq = FNMS(Th, T6, Tp);
Chris@10 82 TW = FMA(Th, T6, Tp);
Chris@10 83 Tz = FMA(T5, Th, Tg);
Chris@10 84 Ti = FNMS(T5, Th, Tg);
Chris@10 85 Tl = T2 * Th;
Chris@10 86 Tu = FMA(Th, T3, Tt);
Chris@10 87 TZ = FNMS(Th, T3, Tt);
Chris@10 88 TI = FMA(T5, T3, Ta);
Chris@10 89 Tb = FNMS(T5, T3, Ta);
Chris@10 90 T1i = Ti * T6;
Chris@10 91 T1e = Ti * T3;
Chris@10 92 T1C = Tz * T6;
Chris@10 93 T1y = Tz * T3;
Chris@10 94 Tm = FMA(T5, Tf, Tl);
Chris@10 95 TC = FNMS(T5, Tf, Tl);
Chris@10 96 T3z = Rm[0];
Chris@10 97 T8 = Rp[WS(rs, 4)];
Chris@10 98 T1m = FNMS(Tm, T6, T1e);
Chris@10 99 T1f = FMA(Tm, T6, T1e);
Chris@10 100 T1p = FMA(Tm, T3, T1i);
Chris@10 101 T1j = FNMS(Tm, T3, T1i);
Chris@10 102 T1L = FNMS(TC, T6, T1y);
Chris@10 103 T1z = FMA(TC, T6, T1y);
Chris@10 104 T1O = FMA(TC, T3, T1C);
Chris@10 105 T1D = FNMS(TC, T3, T1C);
Chris@10 106 T9 = T7 * T8;
Chris@10 107 Tc = Rm[WS(rs, 4)];
Chris@10 108 }
Chris@10 109 {
Chris@10 110 E T1u, T1w, T1v, T2x, T3y, T1B, T1E, Td, T3x;
Chris@10 111 T1u = Ip[WS(rs, 7)];
Chris@10 112 T1w = Im[WS(rs, 7)];
Chris@10 113 T1A = Ip[WS(rs, 3)];
Chris@10 114 Td = FMA(Tb, Tc, T9);
Chris@10 115 T3x = T7 * Tc;
Chris@10 116 T1v = TM * T1u;
Chris@10 117 T2x = TM * T1w;
Chris@10 118 Te = T1 + Td;
Chris@10 119 T1U = T1 - Td;
Chris@10 120 T3y = FNMS(Tb, T8, T3x);
Chris@10 121 T1B = T1z * T1A;
Chris@10 122 T1E = Im[WS(rs, 3)];
Chris@10 123 T1x = FMA(TO, T1w, T1v);
Chris@10 124 T3A = T3y + T3z;
Chris@10 125 T3L = T3z - T3y;
Chris@10 126 T2z = T1z * T1E;
Chris@10 127 T1F = FMA(T1D, T1E, T1B);
Chris@10 128 T2y = FNMS(TO, T1u, T2x);
Chris@10 129 }
Chris@10 130 }
Chris@10 131 {
Chris@10 132 E T1H, T1I, T1J, T1M, T1P, T2A;
Chris@10 133 T1H = Ip[WS(rs, 1)];
Chris@10 134 T2A = FNMS(T1D, T1A, T2z);
Chris@10 135 T2D = T1x - T1F;
Chris@10 136 T1G = T1x + T1F;
Chris@10 137 T1I = Tf * T1H;
Chris@10 138 T2B = T2y - T2A;
Chris@10 139 T3h = T2y + T2A;
Chris@10 140 T1J = Im[WS(rs, 1)];
Chris@10 141 T1M = Ip[WS(rs, 5)];
Chris@10 142 T1P = Im[WS(rs, 5)];
Chris@10 143 {
Chris@10 144 E Tj, Tk, Tn, T1V;
Chris@10 145 {
Chris@10 146 E T1K, T2F, T1Q, T2H, T2E, T1N, T2G;
Chris@10 147 Tj = Rp[WS(rs, 2)];
Chris@10 148 T1K = FMA(Th, T1J, T1I);
Chris@10 149 T2E = Tf * T1J;
Chris@10 150 T1N = T1L * T1M;
Chris@10 151 T2G = T1L * T1P;
Chris@10 152 Tk = Ti * Tj;
Chris@10 153 T2F = FNMS(Th, T1H, T2E);
Chris@10 154 T1Q = FMA(T1O, T1P, T1N);
Chris@10 155 T2H = FNMS(T1O, T1M, T2G);
Chris@10 156 Tn = Rm[WS(rs, 2)];
Chris@10 157 Tr = Rp[WS(rs, 6)];
Chris@10 158 T1R = T1K + T1Q;
Chris@10 159 T2w = T1Q - T1K;
Chris@10 160 T2I = T2F - T2H;
Chris@10 161 T3i = T2F + T2H;
Chris@10 162 T1V = Ti * Tn;
Chris@10 163 Ts = Tq * Tr;
Chris@10 164 Tv = Rm[WS(rs, 6)];
Chris@10 165 }
Chris@10 166 To = FMA(Tm, Tn, Tk);
Chris@10 167 T1W = FNMS(Tm, Tj, T1V);
Chris@10 168 }
Chris@10 169 }
Chris@10 170 }
Chris@10 171 {
Chris@10 172 E T19, T1b, T18, T2i, T1a, T2j;
Chris@10 173 {
Chris@10 174 E TE, T22, TK, T24;
Chris@10 175 {
Chris@10 176 E TA, TD, TB, T21, TG, TJ, TH, T23, T1Y, Tw, T1X;
Chris@10 177 TA = Rp[WS(rs, 1)];
Chris@10 178 Tw = FMA(Tu, Tv, Ts);
Chris@10 179 T1X = Tq * Tv;
Chris@10 180 TD = Rm[WS(rs, 1)];
Chris@10 181 TB = Tz * TA;
Chris@10 182 Tx = To + Tw;
Chris@10 183 T3M = To - Tw;
Chris@10 184 T1Y = FNMS(Tu, Tr, T1X);
Chris@10 185 T21 = Tz * TD;
Chris@10 186 TG = Rp[WS(rs, 5)];
Chris@10 187 TJ = Rm[WS(rs, 5)];
Chris@10 188 T1Z = T1W - T1Y;
Chris@10 189 T3w = T1W + T1Y;
Chris@10 190 TH = TF * TG;
Chris@10 191 T23 = TF * TJ;
Chris@10 192 TE = FMA(TC, TD, TB);
Chris@10 193 T22 = FNMS(TC, TA, T21);
Chris@10 194 TK = FMA(TI, TJ, TH);
Chris@10 195 T24 = FNMS(TI, TG, T23);
Chris@10 196 }
Chris@10 197 {
Chris@10 198 E T15, T17, T16, T2h;
Chris@10 199 T15 = Ip[0];
Chris@10 200 T17 = Im[0];
Chris@10 201 TL = TE + TK;
Chris@10 202 T26 = TE - TK;
Chris@10 203 T25 = T22 - T24;
Chris@10 204 T37 = T22 + T24;
Chris@10 205 T16 = T2 * T15;
Chris@10 206 T2h = T2 * T17;
Chris@10 207 T19 = Ip[WS(rs, 4)];
Chris@10 208 T1b = Im[WS(rs, 4)];
Chris@10 209 T18 = FMA(T5, T17, T16);
Chris@10 210 T2i = FNMS(T5, T15, T2h);
Chris@10 211 T1a = T3 * T19;
Chris@10 212 T2j = T3 * T1b;
Chris@10 213 }
Chris@10 214 }
Chris@10 215 {
Chris@10 216 E T1n, T1q, T1l, T2q, T1o, T2r;
Chris@10 217 {
Chris@10 218 E T1g, T1k, T1h, T2p, T1c, T2k;
Chris@10 219 T1g = Ip[WS(rs, 2)];
Chris@10 220 T1k = Im[WS(rs, 2)];
Chris@10 221 T1c = FMA(T6, T1b, T1a);
Chris@10 222 T2k = FNMS(T6, T19, T2j);
Chris@10 223 T1h = T1f * T1g;
Chris@10 224 T2p = T1f * T1k;
Chris@10 225 T1d = T18 + T1c;
Chris@10 226 T2o = T18 - T1c;
Chris@10 227 T2l = T2i - T2k;
Chris@10 228 T3c = T2i + T2k;
Chris@10 229 T1n = Ip[WS(rs, 6)];
Chris@10 230 T1q = Im[WS(rs, 6)];
Chris@10 231 T1l = FMA(T1j, T1k, T1h);
Chris@10 232 T2q = FNMS(T1j, T1g, T2p);
Chris@10 233 T1o = T1m * T1n;
Chris@10 234 T2r = T1m * T1q;
Chris@10 235 }
Chris@10 236 {
Chris@10 237 E TQ, TU, TR, T29, T1r, T2s;
Chris@10 238 TQ = Rp[WS(rs, 7)];
Chris@10 239 TU = Rm[WS(rs, 7)];
Chris@10 240 T1r = FMA(T1p, T1q, T1o);
Chris@10 241 T2s = FNMS(T1p, T1n, T2r);
Chris@10 242 TR = TP * TQ;
Chris@10 243 T29 = TP * TU;
Chris@10 244 T1s = T1l + T1r;
Chris@10 245 T2m = T1l - T1r;
Chris@10 246 T2t = T2q - T2s;
Chris@10 247 T3d = T2q + T2s;
Chris@10 248 TX = Rp[WS(rs, 3)];
Chris@10 249 T10 = Rm[WS(rs, 3)];
Chris@10 250 TV = FMA(TT, TU, TR);
Chris@10 251 T2a = FNMS(TT, TQ, T29);
Chris@10 252 TY = TW * TX;
Chris@10 253 T2b = TW * T10;
Chris@10 254 }
Chris@10 255 }
Chris@10 256 }
Chris@10 257 }
Chris@10 258 {
Chris@10 259 E T36, T3G, T3b, T3g, T28, T2d, T3F, T39, T3e, T3q, T3C, T3j, T3u, T3t;
Chris@10 260 {
Chris@10 261 E T3D, T1T, T3r, T14, T3E, T3s;
Chris@10 262 {
Chris@10 263 E Ty, T3B, T11, T2c, T13, T3v;
Chris@10 264 T36 = Te - Tx;
Chris@10 265 Ty = Te + Tx;
Chris@10 266 T3B = T3w + T3A;
Chris@10 267 T3G = T3A - T3w;
Chris@10 268 T11 = FMA(TZ, T10, TY);
Chris@10 269 T2c = FNMS(TZ, TX, T2b);
Chris@10 270 {
Chris@10 271 E T1t, T1S, T12, T38;
Chris@10 272 T3b = T1d - T1s;
Chris@10 273 T1t = T1d + T1s;
Chris@10 274 T1S = T1G + T1R;
Chris@10 275 T3g = T1G - T1R;
Chris@10 276 T12 = TV + T11;
Chris@10 277 T28 = TV - T11;
Chris@10 278 T2d = T2a - T2c;
Chris@10 279 T38 = T2a + T2c;
Chris@10 280 T3D = T1S - T1t;
Chris@10 281 T1T = T1t + T1S;
Chris@10 282 T13 = TL + T12;
Chris@10 283 T3F = T12 - TL;
Chris@10 284 T39 = T37 - T38;
Chris@10 285 T3v = T37 + T38;
Chris@10 286 }
Chris@10 287 T3e = T3c - T3d;
Chris@10 288 T3r = T3c + T3d;
Chris@10 289 T3q = Ty - T13;
Chris@10 290 T14 = Ty + T13;
Chris@10 291 T3E = T3B - T3v;
Chris@10 292 T3C = T3v + T3B;
Chris@10 293 T3s = T3h + T3i;
Chris@10 294 T3j = T3h - T3i;
Chris@10 295 }
Chris@10 296 Rm[WS(rs, 7)] = T14 - T1T;
Chris@10 297 Rp[0] = T14 + T1T;
Chris@10 298 Im[WS(rs, 3)] = T3D - T3E;
Chris@10 299 T3u = T3r + T3s;
Chris@10 300 T3t = T3r - T3s;
Chris@10 301 Ip[WS(rs, 4)] = T3D + T3E;
Chris@10 302 }
Chris@10 303 {
Chris@10 304 E T3m, T3a, T3J, T3H;
Chris@10 305 Ip[0] = T3u + T3C;
Chris@10 306 Im[WS(rs, 7)] = T3u - T3C;
Chris@10 307 Rp[WS(rs, 4)] = T3q + T3t;
Chris@10 308 Rm[WS(rs, 3)] = T3q - T3t;
Chris@10 309 T3m = T36 - T39;
Chris@10 310 T3a = T36 + T39;
Chris@10 311 T3J = T3G - T3F;
Chris@10 312 T3H = T3F + T3G;
Chris@10 313 {
Chris@10 314 E T2Q, T20, T3N, T3T, T2J, T2C, T3O, T2f, T34, T30, T2W, T2V, T3U, T2T, T2N;
Chris@10 315 E T2v;
Chris@10 316 {
Chris@10 317 E T2R, T27, T2e, T2S;
Chris@10 318 {
Chris@10 319 E T3n, T3f, T3o, T3k;
Chris@10 320 T2Q = T1U + T1Z;
Chris@10 321 T20 = T1U - T1Z;
Chris@10 322 T3n = T3e - T3b;
Chris@10 323 T3f = T3b + T3e;
Chris@10 324 T3o = T3g + T3j;
Chris@10 325 T3k = T3g - T3j;
Chris@10 326 T3N = T3L - T3M;
Chris@10 327 T3T = T3M + T3L;
Chris@10 328 {
Chris@10 329 E T3p, T3I, T3K, T3l;
Chris@10 330 T3p = T3n - T3o;
Chris@10 331 T3I = T3n + T3o;
Chris@10 332 T3K = T3k - T3f;
Chris@10 333 T3l = T3f + T3k;
Chris@10 334 Rp[WS(rs, 6)] = FMA(KP707106781, T3p, T3m);
Chris@10 335 Rm[WS(rs, 1)] = FNMS(KP707106781, T3p, T3m);
Chris@10 336 Ip[WS(rs, 2)] = FMA(KP707106781, T3I, T3H);
Chris@10 337 Im[WS(rs, 5)] = FMS(KP707106781, T3I, T3H);
Chris@10 338 Ip[WS(rs, 6)] = FMA(KP707106781, T3K, T3J);
Chris@10 339 Im[WS(rs, 1)] = FMS(KP707106781, T3K, T3J);
Chris@10 340 Rp[WS(rs, 2)] = FMA(KP707106781, T3l, T3a);
Chris@10 341 Rm[WS(rs, 5)] = FNMS(KP707106781, T3l, T3a);
Chris@10 342 T2R = T26 + T25;
Chris@10 343 T27 = T25 - T26;
Chris@10 344 T2e = T28 + T2d;
Chris@10 345 T2S = T28 - T2d;
Chris@10 346 }
Chris@10 347 }
Chris@10 348 {
Chris@10 349 E T2Y, T2Z, T2n, T2u;
Chris@10 350 T2J = T2D - T2I;
Chris@10 351 T2Y = T2D + T2I;
Chris@10 352 T2Z = T2B + T2w;
Chris@10 353 T2C = T2w - T2B;
Chris@10 354 T3O = T27 + T2e;
Chris@10 355 T2f = T27 - T2e;
Chris@10 356 T34 = FMA(KP414213562, T2Y, T2Z);
Chris@10 357 T30 = FNMS(KP414213562, T2Z, T2Y);
Chris@10 358 T2W = T2l - T2m;
Chris@10 359 T2n = T2l + T2m;
Chris@10 360 T2u = T2o - T2t;
Chris@10 361 T2V = T2o + T2t;
Chris@10 362 T3U = T2S - T2R;
Chris@10 363 T2T = T2R + T2S;
Chris@10 364 T2N = FNMS(KP414213562, T2n, T2u);
Chris@10 365 T2v = FMA(KP414213562, T2u, T2n);
Chris@10 366 }
Chris@10 367 }
Chris@10 368 {
Chris@10 369 E T33, T2X, T3X, T3Y;
Chris@10 370 {
Chris@10 371 E T2M, T2g, T2O, T2K, T3V, T3W, T2P, T2L;
Chris@10 372 T2M = FNMS(KP707106781, T2f, T20);
Chris@10 373 T2g = FMA(KP707106781, T2f, T20);
Chris@10 374 T33 = FNMS(KP414213562, T2V, T2W);
Chris@10 375 T2X = FMA(KP414213562, T2W, T2V);
Chris@10 376 T2O = FNMS(KP414213562, T2C, T2J);
Chris@10 377 T2K = FMA(KP414213562, T2J, T2C);
Chris@10 378 T3V = FMA(KP707106781, T3U, T3T);
Chris@10 379 T3X = FNMS(KP707106781, T3U, T3T);
Chris@10 380 T3W = T2O - T2N;
Chris@10 381 T2P = T2N + T2O;
Chris@10 382 T3Y = T2K - T2v;
Chris@10 383 T2L = T2v + T2K;
Chris@10 384 Ip[WS(rs, 3)] = FMA(KP923879532, T3W, T3V);
Chris@10 385 Im[WS(rs, 4)] = FMS(KP923879532, T3W, T3V);
Chris@10 386 Rp[WS(rs, 3)] = FMA(KP923879532, T2L, T2g);
Chris@10 387 Rm[WS(rs, 4)] = FNMS(KP923879532, T2L, T2g);
Chris@10 388 Rm[0] = FMA(KP923879532, T2P, T2M);
Chris@10 389 Rp[WS(rs, 7)] = FNMS(KP923879532, T2P, T2M);
Chris@10 390 }
Chris@10 391 {
Chris@10 392 E T32, T3P, T3Q, T35, T2U, T31;
Chris@10 393 T32 = FNMS(KP707106781, T2T, T2Q);
Chris@10 394 T2U = FMA(KP707106781, T2T, T2Q);
Chris@10 395 T31 = T2X + T30;
Chris@10 396 T3S = T30 - T2X;
Chris@10 397 T3R = FNMS(KP707106781, T3O, T3N);
Chris@10 398 T3P = FMA(KP707106781, T3O, T3N);
Chris@10 399 Ip[WS(rs, 7)] = FMA(KP923879532, T3Y, T3X);
Chris@10 400 Im[0] = FMS(KP923879532, T3Y, T3X);
Chris@10 401 Rp[WS(rs, 1)] = FMA(KP923879532, T31, T2U);
Chris@10 402 Rm[WS(rs, 6)] = FNMS(KP923879532, T31, T2U);
Chris@10 403 T3Q = T33 + T34;
Chris@10 404 T35 = T33 - T34;
Chris@10 405 Ip[WS(rs, 1)] = FMA(KP923879532, T3Q, T3P);
Chris@10 406 Im[WS(rs, 6)] = FMS(KP923879532, T3Q, T3P);
Chris@10 407 Rp[WS(rs, 5)] = FMA(KP923879532, T35, T32);
Chris@10 408 Rm[WS(rs, 2)] = FNMS(KP923879532, T35, T32);
Chris@10 409 }
Chris@10 410 }
Chris@10 411 }
Chris@10 412 }
Chris@10 413 }
Chris@10 414 }
Chris@10 415 }
Chris@10 416 Ip[WS(rs, 5)] = FMA(KP923879532, T3S, T3R);
Chris@10 417 Im[WS(rs, 2)] = FMS(KP923879532, T3S, T3R);
Chris@10 418 }
Chris@10 419 }
Chris@10 420 }
Chris@10 421
Chris@10 422 static const tw_instr twinstr[] = {
Chris@10 423 {TW_CEXP, 1, 1},
Chris@10 424 {TW_CEXP, 1, 3},
Chris@10 425 {TW_CEXP, 1, 9},
Chris@10 426 {TW_CEXP, 1, 15},
Chris@10 427 {TW_NEXT, 1, 0}
Chris@10 428 };
Chris@10 429
Chris@10 430 static const hc2c_desc desc = { 16, "hc2cf2_16", twinstr, &GENUS, {104, 42, 92, 0} };
Chris@10 431
Chris@10 432 void X(codelet_hc2cf2_16) (planner *p) {
Chris@10 433 X(khc2c_register) (p, hc2cf2_16, &desc, HC2C_VIA_RDFT);
Chris@10 434 }
Chris@10 435 #else /* HAVE_FMA */
Chris@10 436
Chris@10 437 /* Generated by: ../../../genfft/gen_hc2c.native -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 16 -dit -name hc2cf2_16 -include hc2cf.h */
Chris@10 438
Chris@10 439 /*
Chris@10 440 * This function contains 196 FP additions, 108 FP multiplications,
Chris@10 441 * (or, 156 additions, 68 multiplications, 40 fused multiply/add),
Chris@10 442 * 82 stack variables, 3 constants, and 64 memory accesses
Chris@10 443 */
Chris@10 444 #include "hc2cf.h"
Chris@10 445
Chris@10 446 static void hc2cf2_16(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@10 447 {
Chris@10 448 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
Chris@10 449 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@10 450 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@10 451 {
Chris@10 452 INT m;
Chris@10 453 for (m = mb, W = W + ((mb - 1) * 8); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 8, MAKE_VOLATILE_STRIDE(64, rs)) {
Chris@10 454 E T2, T5, Tg, Ti, Tk, To, TE, TC, T6, T3, T8, TW, TJ, Tt, TU;
Chris@10 455 E Tc, Tx, TH, TN, TO, TP, TR, T1f, T1k, T1b, T1i, T1y, T1H, T1u, T1F;
Chris@10 456 {
Chris@10 457 E T7, Tv, Ta, Ts, T4, Tw, Tb, Tr;
Chris@10 458 {
Chris@10 459 E Th, Tn, Tj, Tm;
Chris@10 460 T2 = W[0];
Chris@10 461 T5 = W[1];
Chris@10 462 Tg = W[2];
Chris@10 463 Ti = W[3];
Chris@10 464 Th = T2 * Tg;
Chris@10 465 Tn = T5 * Tg;
Chris@10 466 Tj = T5 * Ti;
Chris@10 467 Tm = T2 * Ti;
Chris@10 468 Tk = Th - Tj;
Chris@10 469 To = Tm + Tn;
Chris@10 470 TE = Tm - Tn;
Chris@10 471 TC = Th + Tj;
Chris@10 472 T6 = W[5];
Chris@10 473 T7 = T5 * T6;
Chris@10 474 Tv = Tg * T6;
Chris@10 475 Ta = T2 * T6;
Chris@10 476 Ts = Ti * T6;
Chris@10 477 T3 = W[4];
Chris@10 478 T4 = T2 * T3;
Chris@10 479 Tw = Ti * T3;
Chris@10 480 Tb = T5 * T3;
Chris@10 481 Tr = Tg * T3;
Chris@10 482 }
Chris@10 483 T8 = T4 + T7;
Chris@10 484 TW = Tv - Tw;
Chris@10 485 TJ = Ta + Tb;
Chris@10 486 Tt = Tr - Ts;
Chris@10 487 TU = Tr + Ts;
Chris@10 488 Tc = Ta - Tb;
Chris@10 489 Tx = Tv + Tw;
Chris@10 490 TH = T4 - T7;
Chris@10 491 TN = W[6];
Chris@10 492 TO = W[7];
Chris@10 493 TP = FMA(T2, TN, T5 * TO);
Chris@10 494 TR = FNMS(T5, TN, T2 * TO);
Chris@10 495 {
Chris@10 496 E T1d, T1e, T19, T1a;
Chris@10 497 T1d = Tk * T6;
Chris@10 498 T1e = To * T3;
Chris@10 499 T1f = T1d - T1e;
Chris@10 500 T1k = T1d + T1e;
Chris@10 501 T19 = Tk * T3;
Chris@10 502 T1a = To * T6;
Chris@10 503 T1b = T19 + T1a;
Chris@10 504 T1i = T19 - T1a;
Chris@10 505 }
Chris@10 506 {
Chris@10 507 E T1w, T1x, T1s, T1t;
Chris@10 508 T1w = TC * T6;
Chris@10 509 T1x = TE * T3;
Chris@10 510 T1y = T1w - T1x;
Chris@10 511 T1H = T1w + T1x;
Chris@10 512 T1s = TC * T3;
Chris@10 513 T1t = TE * T6;
Chris@10 514 T1u = T1s + T1t;
Chris@10 515 T1F = T1s - T1t;
Chris@10 516 }
Chris@10 517 }
Chris@10 518 {
Chris@10 519 E Tf, T3r, T1N, T3e, TA, T3s, T1Q, T3b, TM, T2M, T1W, T2w, TZ, T2N, T21;
Chris@10 520 E T2x, T1B, T1K, T2V, T2W, T2X, T2Y, T2j, T2D, T2o, T2E, T18, T1n, T2Q, T2R;
Chris@10 521 E T2S, T2T, T28, T2A, T2d, T2B;
Chris@10 522 {
Chris@10 523 E T1, T3d, Te, T3c, T9, Td;
Chris@10 524 T1 = Rp[0];
Chris@10 525 T3d = Rm[0];
Chris@10 526 T9 = Rp[WS(rs, 4)];
Chris@10 527 Td = Rm[WS(rs, 4)];
Chris@10 528 Te = FMA(T8, T9, Tc * Td);
Chris@10 529 T3c = FNMS(Tc, T9, T8 * Td);
Chris@10 530 Tf = T1 + Te;
Chris@10 531 T3r = T3d - T3c;
Chris@10 532 T1N = T1 - Te;
Chris@10 533 T3e = T3c + T3d;
Chris@10 534 }
Chris@10 535 {
Chris@10 536 E Tq, T1O, Tz, T1P;
Chris@10 537 {
Chris@10 538 E Tl, Tp, Tu, Ty;
Chris@10 539 Tl = Rp[WS(rs, 2)];
Chris@10 540 Tp = Rm[WS(rs, 2)];
Chris@10 541 Tq = FMA(Tk, Tl, To * Tp);
Chris@10 542 T1O = FNMS(To, Tl, Tk * Tp);
Chris@10 543 Tu = Rp[WS(rs, 6)];
Chris@10 544 Ty = Rm[WS(rs, 6)];
Chris@10 545 Tz = FMA(Tt, Tu, Tx * Ty);
Chris@10 546 T1P = FNMS(Tx, Tu, Tt * Ty);
Chris@10 547 }
Chris@10 548 TA = Tq + Tz;
Chris@10 549 T3s = Tq - Tz;
Chris@10 550 T1Q = T1O - T1P;
Chris@10 551 T3b = T1O + T1P;
Chris@10 552 }
Chris@10 553 {
Chris@10 554 E TG, T1S, TL, T1T, T1U, T1V;
Chris@10 555 {
Chris@10 556 E TD, TF, TI, TK;
Chris@10 557 TD = Rp[WS(rs, 1)];
Chris@10 558 TF = Rm[WS(rs, 1)];
Chris@10 559 TG = FMA(TC, TD, TE * TF);
Chris@10 560 T1S = FNMS(TE, TD, TC * TF);
Chris@10 561 TI = Rp[WS(rs, 5)];
Chris@10 562 TK = Rm[WS(rs, 5)];
Chris@10 563 TL = FMA(TH, TI, TJ * TK);
Chris@10 564 T1T = FNMS(TJ, TI, TH * TK);
Chris@10 565 }
Chris@10 566 TM = TG + TL;
Chris@10 567 T2M = T1S + T1T;
Chris@10 568 T1U = T1S - T1T;
Chris@10 569 T1V = TG - TL;
Chris@10 570 T1W = T1U - T1V;
Chris@10 571 T2w = T1V + T1U;
Chris@10 572 }
Chris@10 573 {
Chris@10 574 E TT, T1Y, TY, T1Z, T1X, T20;
Chris@10 575 {
Chris@10 576 E TQ, TS, TV, TX;
Chris@10 577 TQ = Rp[WS(rs, 7)];
Chris@10 578 TS = Rm[WS(rs, 7)];
Chris@10 579 TT = FMA(TP, TQ, TR * TS);
Chris@10 580 T1Y = FNMS(TR, TQ, TP * TS);
Chris@10 581 TV = Rp[WS(rs, 3)];
Chris@10 582 TX = Rm[WS(rs, 3)];
Chris@10 583 TY = FMA(TU, TV, TW * TX);
Chris@10 584 T1Z = FNMS(TW, TV, TU * TX);
Chris@10 585 }
Chris@10 586 TZ = TT + TY;
Chris@10 587 T2N = T1Y + T1Z;
Chris@10 588 T1X = TT - TY;
Chris@10 589 T20 = T1Y - T1Z;
Chris@10 590 T21 = T1X + T20;
Chris@10 591 T2x = T1X - T20;
Chris@10 592 }
Chris@10 593 {
Chris@10 594 E T1r, T2k, T1J, T2h, T1A, T2l, T1E, T2g;
Chris@10 595 {
Chris@10 596 E T1p, T1q, T1G, T1I;
Chris@10 597 T1p = Ip[WS(rs, 7)];
Chris@10 598 T1q = Im[WS(rs, 7)];
Chris@10 599 T1r = FMA(TN, T1p, TO * T1q);
Chris@10 600 T2k = FNMS(TO, T1p, TN * T1q);
Chris@10 601 T1G = Ip[WS(rs, 5)];
Chris@10 602 T1I = Im[WS(rs, 5)];
Chris@10 603 T1J = FMA(T1F, T1G, T1H * T1I);
Chris@10 604 T2h = FNMS(T1H, T1G, T1F * T1I);
Chris@10 605 }
Chris@10 606 {
Chris@10 607 E T1v, T1z, T1C, T1D;
Chris@10 608 T1v = Ip[WS(rs, 3)];
Chris@10 609 T1z = Im[WS(rs, 3)];
Chris@10 610 T1A = FMA(T1u, T1v, T1y * T1z);
Chris@10 611 T2l = FNMS(T1y, T1v, T1u * T1z);
Chris@10 612 T1C = Ip[WS(rs, 1)];
Chris@10 613 T1D = Im[WS(rs, 1)];
Chris@10 614 T1E = FMA(Tg, T1C, Ti * T1D);
Chris@10 615 T2g = FNMS(Ti, T1C, Tg * T1D);
Chris@10 616 }
Chris@10 617 T1B = T1r + T1A;
Chris@10 618 T1K = T1E + T1J;
Chris@10 619 T2V = T1B - T1K;
Chris@10 620 T2W = T2k + T2l;
Chris@10 621 T2X = T2g + T2h;
Chris@10 622 T2Y = T2W - T2X;
Chris@10 623 {
Chris@10 624 E T2f, T2i, T2m, T2n;
Chris@10 625 T2f = T1r - T1A;
Chris@10 626 T2i = T2g - T2h;
Chris@10 627 T2j = T2f - T2i;
Chris@10 628 T2D = T2f + T2i;
Chris@10 629 T2m = T2k - T2l;
Chris@10 630 T2n = T1E - T1J;
Chris@10 631 T2o = T2m + T2n;
Chris@10 632 T2E = T2m - T2n;
Chris@10 633 }
Chris@10 634 }
Chris@10 635 {
Chris@10 636 E T14, T24, T1m, T2b, T17, T25, T1h, T2a;
Chris@10 637 {
Chris@10 638 E T12, T13, T1j, T1l;
Chris@10 639 T12 = Ip[0];
Chris@10 640 T13 = Im[0];
Chris@10 641 T14 = FMA(T2, T12, T5 * T13);
Chris@10 642 T24 = FNMS(T5, T12, T2 * T13);
Chris@10 643 T1j = Ip[WS(rs, 6)];
Chris@10 644 T1l = Im[WS(rs, 6)];
Chris@10 645 T1m = FMA(T1i, T1j, T1k * T1l);
Chris@10 646 T2b = FNMS(T1k, T1j, T1i * T1l);
Chris@10 647 }
Chris@10 648 {
Chris@10 649 E T15, T16, T1c, T1g;
Chris@10 650 T15 = Ip[WS(rs, 4)];
Chris@10 651 T16 = Im[WS(rs, 4)];
Chris@10 652 T17 = FMA(T3, T15, T6 * T16);
Chris@10 653 T25 = FNMS(T6, T15, T3 * T16);
Chris@10 654 T1c = Ip[WS(rs, 2)];
Chris@10 655 T1g = Im[WS(rs, 2)];
Chris@10 656 T1h = FMA(T1b, T1c, T1f * T1g);
Chris@10 657 T2a = FNMS(T1f, T1c, T1b * T1g);
Chris@10 658 }
Chris@10 659 T18 = T14 + T17;
Chris@10 660 T1n = T1h + T1m;
Chris@10 661 T2Q = T18 - T1n;
Chris@10 662 T2R = T24 + T25;
Chris@10 663 T2S = T2a + T2b;
Chris@10 664 T2T = T2R - T2S;
Chris@10 665 {
Chris@10 666 E T26, T27, T29, T2c;
Chris@10 667 T26 = T24 - T25;
Chris@10 668 T27 = T1h - T1m;
Chris@10 669 T28 = T26 + T27;
Chris@10 670 T2A = T26 - T27;
Chris@10 671 T29 = T14 - T17;
Chris@10 672 T2c = T2a - T2b;
Chris@10 673 T2d = T29 - T2c;
Chris@10 674 T2B = T29 + T2c;
Chris@10 675 }
Chris@10 676 }
Chris@10 677 {
Chris@10 678 E T23, T2r, T3A, T3C, T2q, T3B, T2u, T3x;
Chris@10 679 {
Chris@10 680 E T1R, T22, T3y, T3z;
Chris@10 681 T1R = T1N - T1Q;
Chris@10 682 T22 = KP707106781 * (T1W - T21);
Chris@10 683 T23 = T1R + T22;
Chris@10 684 T2r = T1R - T22;
Chris@10 685 T3y = KP707106781 * (T2x - T2w);
Chris@10 686 T3z = T3s + T3r;
Chris@10 687 T3A = T3y + T3z;
Chris@10 688 T3C = T3z - T3y;
Chris@10 689 }
Chris@10 690 {
Chris@10 691 E T2e, T2p, T2s, T2t;
Chris@10 692 T2e = FMA(KP923879532, T28, KP382683432 * T2d);
Chris@10 693 T2p = FNMS(KP923879532, T2o, KP382683432 * T2j);
Chris@10 694 T2q = T2e + T2p;
Chris@10 695 T3B = T2p - T2e;
Chris@10 696 T2s = FNMS(KP923879532, T2d, KP382683432 * T28);
Chris@10 697 T2t = FMA(KP382683432, T2o, KP923879532 * T2j);
Chris@10 698 T2u = T2s - T2t;
Chris@10 699 T3x = T2s + T2t;
Chris@10 700 }
Chris@10 701 Rm[WS(rs, 4)] = T23 - T2q;
Chris@10 702 Im[WS(rs, 4)] = T3x - T3A;
Chris@10 703 Rp[WS(rs, 3)] = T23 + T2q;
Chris@10 704 Ip[WS(rs, 3)] = T3x + T3A;
Chris@10 705 Rm[0] = T2r - T2u;
Chris@10 706 Im[0] = T3B - T3C;
Chris@10 707 Rp[WS(rs, 7)] = T2r + T2u;
Chris@10 708 Ip[WS(rs, 7)] = T3B + T3C;
Chris@10 709 }
Chris@10 710 {
Chris@10 711 E T2P, T31, T3m, T3o, T30, T3n, T34, T3j;
Chris@10 712 {
Chris@10 713 E T2L, T2O, T3k, T3l;
Chris@10 714 T2L = Tf - TA;
Chris@10 715 T2O = T2M - T2N;
Chris@10 716 T2P = T2L + T2O;
Chris@10 717 T31 = T2L - T2O;
Chris@10 718 T3k = TZ - TM;
Chris@10 719 T3l = T3e - T3b;
Chris@10 720 T3m = T3k + T3l;
Chris@10 721 T3o = T3l - T3k;
Chris@10 722 }
Chris@10 723 {
Chris@10 724 E T2U, T2Z, T32, T33;
Chris@10 725 T2U = T2Q + T2T;
Chris@10 726 T2Z = T2V - T2Y;
Chris@10 727 T30 = KP707106781 * (T2U + T2Z);
Chris@10 728 T3n = KP707106781 * (T2Z - T2U);
Chris@10 729 T32 = T2T - T2Q;
Chris@10 730 T33 = T2V + T2Y;
Chris@10 731 T34 = KP707106781 * (T32 - T33);
Chris@10 732 T3j = KP707106781 * (T32 + T33);
Chris@10 733 }
Chris@10 734 Rm[WS(rs, 5)] = T2P - T30;
Chris@10 735 Im[WS(rs, 5)] = T3j - T3m;
Chris@10 736 Rp[WS(rs, 2)] = T2P + T30;
Chris@10 737 Ip[WS(rs, 2)] = T3j + T3m;
Chris@10 738 Rm[WS(rs, 1)] = T31 - T34;
Chris@10 739 Im[WS(rs, 1)] = T3n - T3o;
Chris@10 740 Rp[WS(rs, 6)] = T31 + T34;
Chris@10 741 Ip[WS(rs, 6)] = T3n + T3o;
Chris@10 742 }
Chris@10 743 {
Chris@10 744 E T2z, T2H, T3u, T3w, T2G, T3v, T2K, T3p;
Chris@10 745 {
Chris@10 746 E T2v, T2y, T3q, T3t;
Chris@10 747 T2v = T1N + T1Q;
Chris@10 748 T2y = KP707106781 * (T2w + T2x);
Chris@10 749 T2z = T2v + T2y;
Chris@10 750 T2H = T2v - T2y;
Chris@10 751 T3q = KP707106781 * (T1W + T21);
Chris@10 752 T3t = T3r - T3s;
Chris@10 753 T3u = T3q + T3t;
Chris@10 754 T3w = T3t - T3q;
Chris@10 755 }
Chris@10 756 {
Chris@10 757 E T2C, T2F, T2I, T2J;
Chris@10 758 T2C = FMA(KP382683432, T2A, KP923879532 * T2B);
Chris@10 759 T2F = FNMS(KP382683432, T2E, KP923879532 * T2D);
Chris@10 760 T2G = T2C + T2F;
Chris@10 761 T3v = T2F - T2C;
Chris@10 762 T2I = FNMS(KP382683432, T2B, KP923879532 * T2A);
Chris@10 763 T2J = FMA(KP923879532, T2E, KP382683432 * T2D);
Chris@10 764 T2K = T2I - T2J;
Chris@10 765 T3p = T2I + T2J;
Chris@10 766 }
Chris@10 767 Rm[WS(rs, 6)] = T2z - T2G;
Chris@10 768 Im[WS(rs, 6)] = T3p - T3u;
Chris@10 769 Rp[WS(rs, 1)] = T2z + T2G;
Chris@10 770 Ip[WS(rs, 1)] = T3p + T3u;
Chris@10 771 Rm[WS(rs, 2)] = T2H - T2K;
Chris@10 772 Im[WS(rs, 2)] = T3v - T3w;
Chris@10 773 Rp[WS(rs, 5)] = T2H + T2K;
Chris@10 774 Ip[WS(rs, 5)] = T3v + T3w;
Chris@10 775 }
Chris@10 776 {
Chris@10 777 E T11, T35, T3g, T3i, T1M, T3h, T38, T39;
Chris@10 778 {
Chris@10 779 E TB, T10, T3a, T3f;
Chris@10 780 TB = Tf + TA;
Chris@10 781 T10 = TM + TZ;
Chris@10 782 T11 = TB + T10;
Chris@10 783 T35 = TB - T10;
Chris@10 784 T3a = T2M + T2N;
Chris@10 785 T3f = T3b + T3e;
Chris@10 786 T3g = T3a + T3f;
Chris@10 787 T3i = T3f - T3a;
Chris@10 788 }
Chris@10 789 {
Chris@10 790 E T1o, T1L, T36, T37;
Chris@10 791 T1o = T18 + T1n;
Chris@10 792 T1L = T1B + T1K;
Chris@10 793 T1M = T1o + T1L;
Chris@10 794 T3h = T1L - T1o;
Chris@10 795 T36 = T2R + T2S;
Chris@10 796 T37 = T2W + T2X;
Chris@10 797 T38 = T36 - T37;
Chris@10 798 T39 = T36 + T37;
Chris@10 799 }
Chris@10 800 Rm[WS(rs, 7)] = T11 - T1M;
Chris@10 801 Im[WS(rs, 7)] = T39 - T3g;
Chris@10 802 Rp[0] = T11 + T1M;
Chris@10 803 Ip[0] = T39 + T3g;
Chris@10 804 Rm[WS(rs, 3)] = T35 - T38;
Chris@10 805 Im[WS(rs, 3)] = T3h - T3i;
Chris@10 806 Rp[WS(rs, 4)] = T35 + T38;
Chris@10 807 Ip[WS(rs, 4)] = T3h + T3i;
Chris@10 808 }
Chris@10 809 }
Chris@10 810 }
Chris@10 811 }
Chris@10 812 }
Chris@10 813
Chris@10 814 static const tw_instr twinstr[] = {
Chris@10 815 {TW_CEXP, 1, 1},
Chris@10 816 {TW_CEXP, 1, 3},
Chris@10 817 {TW_CEXP, 1, 9},
Chris@10 818 {TW_CEXP, 1, 15},
Chris@10 819 {TW_NEXT, 1, 0}
Chris@10 820 };
Chris@10 821
Chris@10 822 static const hc2c_desc desc = { 16, "hc2cf2_16", twinstr, &GENUS, {156, 68, 40, 0} };
Chris@10 823
Chris@10 824 void X(codelet_hc2cf2_16) (planner *p) {
Chris@10 825 X(khc2c_register) (p, hc2cf2_16, &desc, HC2C_VIA_RDFT);
Chris@10 826 }
Chris@10 827 #endif /* HAVE_FMA */