annotate src/fftw-3.3.5/rdft/scalar/r2cb/hc2cbdft_16.c @ 168:ceec0dd9ec9c

Replace these with versions built using an older toolset (so as to avoid ABI compatibilities when linking on Ubuntu 14.04 for packaging purposes)
author Chris Cannam <cannam@all-day-breakfast.com>
date Fri, 07 Feb 2020 11:51:13 +0000
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 16:51:59 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_hc2cdft.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -n 16 -dif -name hc2cbdft_16 -include hc2cb.h */
cannam@127 29
cannam@127 30 /*
cannam@127 31 * This function contains 206 FP additions, 100 FP multiplications,
cannam@127 32 * (or, 136 additions, 30 multiplications, 70 fused multiply/add),
cannam@127 33 * 97 stack variables, 3 constants, and 64 memory accesses
cannam@127 34 */
cannam@127 35 #include "hc2cb.h"
cannam@127 36
cannam@127 37 static void hc2cbdft_16(R *Rp, R *Ip, R *Rm, R *Im, 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) * 30); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 30, MAKE_VOLATILE_STRIDE(64, rs)) {
cannam@127 45 E T3w, T3z, T2Y, T3D, T3x, T3m, T3u, T3C, T3y, T3o, T3k, T3E, T3A;
cannam@127 46 {
cannam@127 47 E T20, Tf, T3Q, T32, T3V, T3f, T2a, TN, T2f, T1m, T3G, T2G, T3L, T2T, T26;
cannam@127 48 E T1F, T3M, T2N, T3H, T2W, T25, Tu, T1n, T1o, T3R, T3i, T2g, T1a, T21, T1y;
cannam@127 49 E T3W, T39;
cannam@127 50 {
cannam@127 51 E T2R, T1B, T2S, T1E;
cannam@127 52 {
cannam@127 53 E T1e, T3, T1C, TA, Tx, T6, T1D, T1h, Td, T1A, TL, T1k, Ta, TC, TF;
cannam@127 54 E T1z;
cannam@127 55 {
cannam@127 56 E T4, T5, T1f, T1g;
cannam@127 57 {
cannam@127 58 E T1, T2, Ty, Tz;
cannam@127 59 T1 = Rp[0];
cannam@127 60 T2 = Rm[WS(rs, 7)];
cannam@127 61 Ty = Ip[0];
cannam@127 62 Tz = Im[WS(rs, 7)];
cannam@127 63 T4 = Rp[WS(rs, 4)];
cannam@127 64 T1e = T1 - T2;
cannam@127 65 T3 = T1 + T2;
cannam@127 66 T1C = Ty - Tz;
cannam@127 67 TA = Ty + Tz;
cannam@127 68 T5 = Rm[WS(rs, 3)];
cannam@127 69 }
cannam@127 70 T1f = Ip[WS(rs, 4)];
cannam@127 71 T1g = Im[WS(rs, 3)];
cannam@127 72 {
cannam@127 73 E Tb, Tc, TI, TJ;
cannam@127 74 Tb = Rm[WS(rs, 1)];
cannam@127 75 Tx = T4 - T5;
cannam@127 76 T6 = T4 + T5;
cannam@127 77 T1D = T1f - T1g;
cannam@127 78 T1h = T1f + T1g;
cannam@127 79 Tc = Rp[WS(rs, 6)];
cannam@127 80 TI = Im[WS(rs, 1)];
cannam@127 81 TJ = Ip[WS(rs, 6)];
cannam@127 82 {
cannam@127 83 E T8, TH, TK, T9, TD, TE;
cannam@127 84 T8 = Rp[WS(rs, 2)];
cannam@127 85 Td = Tb + Tc;
cannam@127 86 TH = Tb - Tc;
cannam@127 87 T1A = TJ - TI;
cannam@127 88 TK = TI + TJ;
cannam@127 89 T9 = Rm[WS(rs, 5)];
cannam@127 90 TD = Ip[WS(rs, 2)];
cannam@127 91 TE = Im[WS(rs, 5)];
cannam@127 92 TL = TH + TK;
cannam@127 93 T1k = TH - TK;
cannam@127 94 Ta = T8 + T9;
cannam@127 95 TC = T8 - T9;
cannam@127 96 TF = TD + TE;
cannam@127 97 T1z = TD - TE;
cannam@127 98 }
cannam@127 99 }
cannam@127 100 }
cannam@127 101 {
cannam@127 102 E T2E, TB, T1l, T1i, T3d, T3e, TM, T2F;
cannam@127 103 {
cannam@127 104 E T7, TG, Te, T30, T31, T1j;
cannam@127 105 T2E = T3 - T6;
cannam@127 106 T7 = T3 + T6;
cannam@127 107 T1j = TC - TF;
cannam@127 108 TG = TC + TF;
cannam@127 109 Te = Ta + Td;
cannam@127 110 T2R = Ta - Td;
cannam@127 111 TB = Tx + TA;
cannam@127 112 T30 = TA - Tx;
cannam@127 113 T31 = T1j - T1k;
cannam@127 114 T1l = T1j + T1k;
cannam@127 115 T1i = T1e - T1h;
cannam@127 116 T3d = T1e + T1h;
cannam@127 117 T20 = T7 - Te;
cannam@127 118 Tf = T7 + Te;
cannam@127 119 T3Q = FNMS(KP707106781, T31, T30);
cannam@127 120 T32 = FMA(KP707106781, T31, T30);
cannam@127 121 T3e = TG + TL;
cannam@127 122 TM = TG - TL;
cannam@127 123 }
cannam@127 124 T3V = FMA(KP707106781, T3e, T3d);
cannam@127 125 T3f = FNMS(KP707106781, T3e, T3d);
cannam@127 126 T2a = FNMS(KP707106781, TM, TB);
cannam@127 127 TN = FMA(KP707106781, TM, TB);
cannam@127 128 T2F = T1A - T1z;
cannam@127 129 T1B = T1z + T1A;
cannam@127 130 T2f = FNMS(KP707106781, T1l, T1i);
cannam@127 131 T1m = FMA(KP707106781, T1l, T1i);
cannam@127 132 T3G = T2E - T2F;
cannam@127 133 T2G = T2E + T2F;
cannam@127 134 T2S = T1C - T1D;
cannam@127 135 T1E = T1C + T1D;
cannam@127 136 }
cannam@127 137 }
cannam@127 138 {
cannam@127 139 E T34, TS, T2H, Tm, T1u, T2I, T33, TX, Tq, T14, Tp, T1v, T12, Tr, T15;
cannam@127 140 E T16;
cannam@127 141 {
cannam@127 142 E Tj, TT, Ti, T1s, TR, Tk, TU, TV;
cannam@127 143 {
cannam@127 144 E Tg, Th, TP, TQ;
cannam@127 145 Tg = Rp[WS(rs, 1)];
cannam@127 146 T3L = T2S - T2R;
cannam@127 147 T2T = T2R + T2S;
cannam@127 148 T26 = T1E - T1B;
cannam@127 149 T1F = T1B + T1E;
cannam@127 150 Th = Rm[WS(rs, 6)];
cannam@127 151 TP = Ip[WS(rs, 1)];
cannam@127 152 TQ = Im[WS(rs, 6)];
cannam@127 153 Tj = Rp[WS(rs, 5)];
cannam@127 154 TT = Tg - Th;
cannam@127 155 Ti = Tg + Th;
cannam@127 156 T1s = TP - TQ;
cannam@127 157 TR = TP + TQ;
cannam@127 158 Tk = Rm[WS(rs, 2)];
cannam@127 159 TU = Ip[WS(rs, 5)];
cannam@127 160 TV = Im[WS(rs, 2)];
cannam@127 161 }
cannam@127 162 {
cannam@127 163 E Tn, To, T10, T11;
cannam@127 164 Tn = Rm[0];
cannam@127 165 {
cannam@127 166 E TO, Tl, T1t, TW;
cannam@127 167 TO = Tj - Tk;
cannam@127 168 Tl = Tj + Tk;
cannam@127 169 T1t = TU - TV;
cannam@127 170 TW = TU + TV;
cannam@127 171 T34 = TR - TO;
cannam@127 172 TS = TO + TR;
cannam@127 173 T2H = Ti - Tl;
cannam@127 174 Tm = Ti + Tl;
cannam@127 175 T1u = T1s + T1t;
cannam@127 176 T2I = T1s - T1t;
cannam@127 177 T33 = TT + TW;
cannam@127 178 TX = TT - TW;
cannam@127 179 To = Rp[WS(rs, 7)];
cannam@127 180 }
cannam@127 181 T10 = Im[0];
cannam@127 182 T11 = Ip[WS(rs, 7)];
cannam@127 183 Tq = Rp[WS(rs, 3)];
cannam@127 184 T14 = Tn - To;
cannam@127 185 Tp = Tn + To;
cannam@127 186 T1v = T11 - T10;
cannam@127 187 T12 = T10 + T11;
cannam@127 188 Tr = Rm[WS(rs, 4)];
cannam@127 189 T15 = Ip[WS(rs, 3)];
cannam@127 190 T16 = Im[WS(rs, 4)];
cannam@127 191 }
cannam@127 192 }
cannam@127 193 {
cannam@127 194 E T13, T1x, T18, T35, T3g, T3h, T38, TY, T19;
cannam@127 195 {
cannam@127 196 E T2U, T2J, T37, Tt, T36, T2V, T2M, T2K, T2L;
cannam@127 197 T2U = T2H + T2I;
cannam@127 198 T2J = T2H - T2I;
cannam@127 199 {
cannam@127 200 E TZ, Ts, T1w, T17;
cannam@127 201 TZ = Tq - Tr;
cannam@127 202 Ts = Tq + Tr;
cannam@127 203 T1w = T15 - T16;
cannam@127 204 T17 = T15 + T16;
cannam@127 205 T37 = TZ + T12;
cannam@127 206 T13 = TZ - T12;
cannam@127 207 T2K = Tp - Ts;
cannam@127 208 Tt = Tp + Ts;
cannam@127 209 T1x = T1v + T1w;
cannam@127 210 T2L = T1v - T1w;
cannam@127 211 T36 = T14 + T17;
cannam@127 212 T18 = T14 - T17;
cannam@127 213 }
cannam@127 214 T2V = T2L - T2K;
cannam@127 215 T2M = T2K + T2L;
cannam@127 216 T3M = T2J - T2M;
cannam@127 217 T2N = T2J + T2M;
cannam@127 218 T3H = T2V - T2U;
cannam@127 219 T2W = T2U + T2V;
cannam@127 220 T35 = FMA(KP414213562, T34, T33);
cannam@127 221 T3g = FNMS(KP414213562, T33, T34);
cannam@127 222 T25 = Tm - Tt;
cannam@127 223 Tu = Tm + Tt;
cannam@127 224 T3h = FNMS(KP414213562, T36, T37);
cannam@127 225 T38 = FMA(KP414213562, T37, T36);
cannam@127 226 }
cannam@127 227 T1n = FNMS(KP414213562, TS, TX);
cannam@127 228 TY = FMA(KP414213562, TX, TS);
cannam@127 229 T19 = FNMS(KP414213562, T18, T13);
cannam@127 230 T1o = FMA(KP414213562, T13, T18);
cannam@127 231 T3R = T3h - T3g;
cannam@127 232 T3i = T3g + T3h;
cannam@127 233 T2g = T19 - TY;
cannam@127 234 T1a = TY + T19;
cannam@127 235 T21 = T1x - T1u;
cannam@127 236 T1y = T1u + T1x;
cannam@127 237 T3W = T35 + T38;
cannam@127 238 T39 = T35 - T38;
cannam@127 239 }
cannam@127 240 }
cannam@127 241 }
cannam@127 242 {
cannam@127 243 E T27, T22, T2c, T2u, T2x, T2h, T2s, T2A, T2w, T2B, T2v;
cannam@127 244 {
cannam@127 245 E T1K, Tv, T1G, T1N, T1Q, T1b, T2b, T1p, Tw, T1d;
cannam@127 246 T1K = Tf - Tu;
cannam@127 247 Tv = Tf + Tu;
cannam@127 248 T1G = T1y + T1F;
cannam@127 249 T1N = T1F - T1y;
cannam@127 250 T1Q = FNMS(KP923879532, T1a, TN);
cannam@127 251 T1b = FMA(KP923879532, T1a, TN);
cannam@127 252 T2b = T1n - T1o;
cannam@127 253 T1p = T1n + T1o;
cannam@127 254 Tw = W[0];
cannam@127 255 T1d = W[1];
cannam@127 256 {
cannam@127 257 E T1T, T1O, T1W, T1S, T1X, T1R;
cannam@127 258 {
cannam@127 259 E T1J, T1M, T1L, T1V, T1P, T1q;
cannam@127 260 T1T = FNMS(KP923879532, T1p, T1m);
cannam@127 261 T1q = FMA(KP923879532, T1p, T1m);
cannam@127 262 {
cannam@127 263 E T1c, T1I, T1H, T1r;
cannam@127 264 T1c = Tw * T1b;
cannam@127 265 T1J = W[14];
cannam@127 266 T1H = Tw * T1q;
cannam@127 267 T1r = FMA(T1d, T1q, T1c);
cannam@127 268 T1M = W[15];
cannam@127 269 T1L = T1J * T1K;
cannam@127 270 T1I = FNMS(T1d, T1b, T1H);
cannam@127 271 Rm[0] = Tv + T1r;
cannam@127 272 Rp[0] = Tv - T1r;
cannam@127 273 T1V = T1M * T1K;
cannam@127 274 Im[0] = T1I - T1G;
cannam@127 275 Ip[0] = T1G + T1I;
cannam@127 276 T1P = W[16];
cannam@127 277 }
cannam@127 278 T1O = FNMS(T1M, T1N, T1L);
cannam@127 279 T1W = FMA(T1J, T1N, T1V);
cannam@127 280 T1S = W[17];
cannam@127 281 T1X = T1P * T1T;
cannam@127 282 T1R = T1P * T1Q;
cannam@127 283 }
cannam@127 284 {
cannam@127 285 E T2r, T2n, T2q, T2p, T2z, T2t, T2o, T1Y, T1U;
cannam@127 286 T27 = T25 + T26;
cannam@127 287 T2r = T26 - T25;
cannam@127 288 T2o = T20 - T21;
cannam@127 289 T22 = T20 + T21;
cannam@127 290 T1Y = FNMS(T1S, T1Q, T1X);
cannam@127 291 T1U = FMA(T1S, T1T, T1R);
cannam@127 292 T2n = W[22];
cannam@127 293 T2q = W[23];
cannam@127 294 Im[WS(rs, 4)] = T1Y - T1W;
cannam@127 295 Ip[WS(rs, 4)] = T1W + T1Y;
cannam@127 296 Rm[WS(rs, 4)] = T1O + T1U;
cannam@127 297 Rp[WS(rs, 4)] = T1O - T1U;
cannam@127 298 T2p = T2n * T2o;
cannam@127 299 T2z = T2q * T2o;
cannam@127 300 T2c = FMA(KP923879532, T2b, T2a);
cannam@127 301 T2u = FNMS(KP923879532, T2b, T2a);
cannam@127 302 T2x = FNMS(KP923879532, T2g, T2f);
cannam@127 303 T2h = FMA(KP923879532, T2g, T2f);
cannam@127 304 T2t = W[24];
cannam@127 305 T2s = FNMS(T2q, T2r, T2p);
cannam@127 306 T2A = FMA(T2n, T2r, T2z);
cannam@127 307 T2w = W[25];
cannam@127 308 T2B = T2t * T2x;
cannam@127 309 T2v = T2t * T2u;
cannam@127 310 }
cannam@127 311 }
cannam@127 312 }
cannam@127 313 {
cannam@127 314 E T28, T2k, T2e, T2l, T2d;
cannam@127 315 {
cannam@127 316 E T1Z, T24, T23, T2j, T29, T2C, T2y;
cannam@127 317 T2C = FNMS(T2w, T2u, T2B);
cannam@127 318 T2y = FMA(T2w, T2x, T2v);
cannam@127 319 T1Z = W[6];
cannam@127 320 T24 = W[7];
cannam@127 321 Im[WS(rs, 6)] = T2C - T2A;
cannam@127 322 Ip[WS(rs, 6)] = T2A + T2C;
cannam@127 323 Rm[WS(rs, 6)] = T2s + T2y;
cannam@127 324 Rp[WS(rs, 6)] = T2s - T2y;
cannam@127 325 T23 = T1Z * T22;
cannam@127 326 T2j = T24 * T22;
cannam@127 327 T29 = W[8];
cannam@127 328 T28 = FNMS(T24, T27, T23);
cannam@127 329 T2k = FMA(T1Z, T27, T2j);
cannam@127 330 T2e = W[9];
cannam@127 331 T2l = T29 * T2h;
cannam@127 332 T2d = T29 * T2c;
cannam@127 333 }
cannam@127 334 {
cannam@127 335 E T4a, T4d, T3O, T4h, T4b, T40, T48, T4g, T4c, T42, T3Y;
cannam@127 336 {
cannam@127 337 E T3N, T47, T43, T46, T3F, T45, T4f, T3K, T3J, T3S, T3X, T3Z, T49, T41, T3T;
cannam@127 338 E T3U;
cannam@127 339 {
cannam@127 340 E T44, T3I, T2m, T2i, T3P;
cannam@127 341 T44 = FNMS(KP707106781, T3H, T3G);
cannam@127 342 T3I = FMA(KP707106781, T3H, T3G);
cannam@127 343 T2m = FNMS(T2e, T2c, T2l);
cannam@127 344 T2i = FMA(T2e, T2h, T2d);
cannam@127 345 T3N = FMA(KP707106781, T3M, T3L);
cannam@127 346 T47 = FNMS(KP707106781, T3M, T3L);
cannam@127 347 Im[WS(rs, 2)] = T2m - T2k;
cannam@127 348 Ip[WS(rs, 2)] = T2k + T2m;
cannam@127 349 Rm[WS(rs, 2)] = T28 + T2i;
cannam@127 350 Rp[WS(rs, 2)] = T28 - T2i;
cannam@127 351 T43 = W[26];
cannam@127 352 T46 = W[27];
cannam@127 353 T3F = W[10];
cannam@127 354 T45 = T43 * T44;
cannam@127 355 T4f = T46 * T44;
cannam@127 356 T3K = W[11];
cannam@127 357 T3J = T3F * T3I;
cannam@127 358 T4a = FNMS(KP923879532, T3R, T3Q);
cannam@127 359 T3S = FMA(KP923879532, T3R, T3Q);
cannam@127 360 T3X = FNMS(KP923879532, T3W, T3V);
cannam@127 361 T4d = FMA(KP923879532, T3W, T3V);
cannam@127 362 T3Z = T3K * T3I;
cannam@127 363 T3P = W[12];
cannam@127 364 T49 = W[28];
cannam@127 365 T41 = T3P * T3X;
cannam@127 366 T3T = T3P * T3S;
cannam@127 367 }
cannam@127 368 T3O = FNMS(T3K, T3N, T3J);
cannam@127 369 T4h = T49 * T4d;
cannam@127 370 T4b = T49 * T4a;
cannam@127 371 T40 = FMA(T3F, T3N, T3Z);
cannam@127 372 T3U = W[13];
cannam@127 373 T48 = FNMS(T46, T47, T45);
cannam@127 374 T4g = FMA(T43, T47, T4f);
cannam@127 375 T4c = W[29];
cannam@127 376 T42 = FNMS(T3U, T3S, T41);
cannam@127 377 T3Y = FMA(T3U, T3X, T3T);
cannam@127 378 }
cannam@127 379 {
cannam@127 380 E T3t, T2X, T3p, T3s, T2D, T3r, T3B, T2Q, T2P, T3a, T3j, T3l, T3v, T3n, T3b;
cannam@127 381 E T3c;
cannam@127 382 {
cannam@127 383 E T2O, T3q, T4i, T4e, T2Z;
cannam@127 384 T4i = FNMS(T4c, T4a, T4h);
cannam@127 385 T4e = FMA(T4c, T4d, T4b);
cannam@127 386 Im[WS(rs, 3)] = T42 - T40;
cannam@127 387 Ip[WS(rs, 3)] = T40 + T42;
cannam@127 388 Rm[WS(rs, 3)] = T3O + T3Y;
cannam@127 389 Rp[WS(rs, 3)] = T3O - T3Y;
cannam@127 390 Im[WS(rs, 7)] = T4i - T4g;
cannam@127 391 Ip[WS(rs, 7)] = T4g + T4i;
cannam@127 392 Rm[WS(rs, 7)] = T48 + T4e;
cannam@127 393 Rp[WS(rs, 7)] = T48 - T4e;
cannam@127 394 T3t = FNMS(KP707106781, T2W, T2T);
cannam@127 395 T2X = FMA(KP707106781, T2W, T2T);
cannam@127 396 T2O = FMA(KP707106781, T2N, T2G);
cannam@127 397 T3q = FNMS(KP707106781, T2N, T2G);
cannam@127 398 T3p = W[18];
cannam@127 399 T3s = W[19];
cannam@127 400 T2D = W[2];
cannam@127 401 T3r = T3p * T3q;
cannam@127 402 T3B = T3s * T3q;
cannam@127 403 T2Q = W[3];
cannam@127 404 T2P = T2D * T2O;
cannam@127 405 T3a = FMA(KP923879532, T39, T32);
cannam@127 406 T3w = FNMS(KP923879532, T39, T32);
cannam@127 407 T3z = FMA(KP923879532, T3i, T3f);
cannam@127 408 T3j = FNMS(KP923879532, T3i, T3f);
cannam@127 409 T3l = T2Q * T2O;
cannam@127 410 T2Z = W[4];
cannam@127 411 T3v = W[20];
cannam@127 412 T3n = T2Z * T3j;
cannam@127 413 T3b = T2Z * T3a;
cannam@127 414 }
cannam@127 415 T2Y = FNMS(T2Q, T2X, T2P);
cannam@127 416 T3D = T3v * T3z;
cannam@127 417 T3x = T3v * T3w;
cannam@127 418 T3m = FMA(T2D, T2X, T3l);
cannam@127 419 T3c = W[5];
cannam@127 420 T3u = FNMS(T3s, T3t, T3r);
cannam@127 421 T3C = FMA(T3p, T3t, T3B);
cannam@127 422 T3y = W[21];
cannam@127 423 T3o = FNMS(T3c, T3a, T3n);
cannam@127 424 T3k = FMA(T3c, T3j, T3b);
cannam@127 425 }
cannam@127 426 }
cannam@127 427 }
cannam@127 428 }
cannam@127 429 }
cannam@127 430 T3E = FNMS(T3y, T3w, T3D);
cannam@127 431 T3A = FMA(T3y, T3z, T3x);
cannam@127 432 Im[WS(rs, 1)] = T3o - T3m;
cannam@127 433 Ip[WS(rs, 1)] = T3m + T3o;
cannam@127 434 Rm[WS(rs, 1)] = T2Y + T3k;
cannam@127 435 Rp[WS(rs, 1)] = T2Y - T3k;
cannam@127 436 Im[WS(rs, 5)] = T3E - T3C;
cannam@127 437 Ip[WS(rs, 5)] = T3C + T3E;
cannam@127 438 Rm[WS(rs, 5)] = T3u + T3A;
cannam@127 439 Rp[WS(rs, 5)] = T3u - T3A;
cannam@127 440 }
cannam@127 441 }
cannam@127 442 }
cannam@127 443
cannam@127 444 static const tw_instr twinstr[] = {
cannam@127 445 {TW_FULL, 1, 16},
cannam@127 446 {TW_NEXT, 1, 0}
cannam@127 447 };
cannam@127 448
cannam@127 449 static const hc2c_desc desc = { 16, "hc2cbdft_16", twinstr, &GENUS, {136, 30, 70, 0} };
cannam@127 450
cannam@127 451 void X(codelet_hc2cbdft_16) (planner *p) {
cannam@127 452 X(khc2c_register) (p, hc2cbdft_16, &desc, HC2C_VIA_DFT);
cannam@127 453 }
cannam@127 454 #else /* HAVE_FMA */
cannam@127 455
cannam@127 456 /* Generated by: ../../../genfft/gen_hc2cdft.native -compact -variables 4 -pipeline-latency 4 -sign 1 -n 16 -dif -name hc2cbdft_16 -include hc2cb.h */
cannam@127 457
cannam@127 458 /*
cannam@127 459 * This function contains 206 FP additions, 84 FP multiplications,
cannam@127 460 * (or, 168 additions, 46 multiplications, 38 fused multiply/add),
cannam@127 461 * 60 stack variables, 3 constants, and 64 memory accesses
cannam@127 462 */
cannam@127 463 #include "hc2cb.h"
cannam@127 464
cannam@127 465 static void hc2cbdft_16(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
cannam@127 466 {
cannam@127 467 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
cannam@127 468 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
cannam@127 469 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
cannam@127 470 {
cannam@127 471 INT m;
cannam@127 472 for (m = mb, W = W + ((mb - 1) * 30); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 30, MAKE_VOLATILE_STRIDE(64, rs)) {
cannam@127 473 E TB, T2L, T30, T1n, Tf, T1U, T2H, T3p, T1E, T1Z, TM, T31, T2s, T3k, T1i;
cannam@127 474 E T2M, Tu, T1Y, T2Q, T2X, T2T, T2Y, TY, T1d, T19, T1e, T2v, T2C, T2y, T2D;
cannam@127 475 E T1x, T1V;
cannam@127 476 {
cannam@127 477 E T3, T1j, TA, T1B, T6, Tx, T1m, T1C, Ta, TC, TF, T1y, Td, TH, TK;
cannam@127 478 E T1z;
cannam@127 479 {
cannam@127 480 E T1, T2, Ty, Tz;
cannam@127 481 T1 = Rp[0];
cannam@127 482 T2 = Rm[WS(rs, 7)];
cannam@127 483 T3 = T1 + T2;
cannam@127 484 T1j = T1 - T2;
cannam@127 485 Ty = Ip[0];
cannam@127 486 Tz = Im[WS(rs, 7)];
cannam@127 487 TA = Ty + Tz;
cannam@127 488 T1B = Ty - Tz;
cannam@127 489 }
cannam@127 490 {
cannam@127 491 E T4, T5, T1k, T1l;
cannam@127 492 T4 = Rp[WS(rs, 4)];
cannam@127 493 T5 = Rm[WS(rs, 3)];
cannam@127 494 T6 = T4 + T5;
cannam@127 495 Tx = T4 - T5;
cannam@127 496 T1k = Ip[WS(rs, 4)];
cannam@127 497 T1l = Im[WS(rs, 3)];
cannam@127 498 T1m = T1k + T1l;
cannam@127 499 T1C = T1k - T1l;
cannam@127 500 }
cannam@127 501 {
cannam@127 502 E T8, T9, TD, TE;
cannam@127 503 T8 = Rp[WS(rs, 2)];
cannam@127 504 T9 = Rm[WS(rs, 5)];
cannam@127 505 Ta = T8 + T9;
cannam@127 506 TC = T8 - T9;
cannam@127 507 TD = Ip[WS(rs, 2)];
cannam@127 508 TE = Im[WS(rs, 5)];
cannam@127 509 TF = TD + TE;
cannam@127 510 T1y = TD - TE;
cannam@127 511 }
cannam@127 512 {
cannam@127 513 E Tb, Tc, TI, TJ;
cannam@127 514 Tb = Rm[WS(rs, 1)];
cannam@127 515 Tc = Rp[WS(rs, 6)];
cannam@127 516 Td = Tb + Tc;
cannam@127 517 TH = Tb - Tc;
cannam@127 518 TI = Im[WS(rs, 1)];
cannam@127 519 TJ = Ip[WS(rs, 6)];
cannam@127 520 TK = TI + TJ;
cannam@127 521 T1z = TJ - TI;
cannam@127 522 }
cannam@127 523 {
cannam@127 524 E T7, Te, TG, TL;
cannam@127 525 TB = Tx + TA;
cannam@127 526 T2L = TA - Tx;
cannam@127 527 T30 = T1j + T1m;
cannam@127 528 T1n = T1j - T1m;
cannam@127 529 T7 = T3 + T6;
cannam@127 530 Te = Ta + Td;
cannam@127 531 Tf = T7 + Te;
cannam@127 532 T1U = T7 - Te;
cannam@127 533 {
cannam@127 534 E T2F, T2G, T1A, T1D;
cannam@127 535 T2F = Ta - Td;
cannam@127 536 T2G = T1B - T1C;
cannam@127 537 T2H = T2F + T2G;
cannam@127 538 T3p = T2G - T2F;
cannam@127 539 T1A = T1y + T1z;
cannam@127 540 T1D = T1B + T1C;
cannam@127 541 T1E = T1A + T1D;
cannam@127 542 T1Z = T1D - T1A;
cannam@127 543 }
cannam@127 544 TG = TC + TF;
cannam@127 545 TL = TH + TK;
cannam@127 546 TM = KP707106781 * (TG - TL);
cannam@127 547 T31 = KP707106781 * (TG + TL);
cannam@127 548 {
cannam@127 549 E T2q, T2r, T1g, T1h;
cannam@127 550 T2q = T3 - T6;
cannam@127 551 T2r = T1z - T1y;
cannam@127 552 T2s = T2q + T2r;
cannam@127 553 T3k = T2q - T2r;
cannam@127 554 T1g = TC - TF;
cannam@127 555 T1h = TH - TK;
cannam@127 556 T1i = KP707106781 * (T1g + T1h);
cannam@127 557 T2M = KP707106781 * (T1g - T1h);
cannam@127 558 }
cannam@127 559 }
cannam@127 560 }
cannam@127 561 {
cannam@127 562 E Ti, TT, TR, T1r, Tl, TO, TW, T1s, Tp, T14, T12, T1u, Ts, TZ, T17;
cannam@127 563 E T1v;
cannam@127 564 {
cannam@127 565 E Tg, Th, TP, TQ;
cannam@127 566 Tg = Rp[WS(rs, 1)];
cannam@127 567 Th = Rm[WS(rs, 6)];
cannam@127 568 Ti = Tg + Th;
cannam@127 569 TT = Tg - Th;
cannam@127 570 TP = Ip[WS(rs, 1)];
cannam@127 571 TQ = Im[WS(rs, 6)];
cannam@127 572 TR = TP + TQ;
cannam@127 573 T1r = TP - TQ;
cannam@127 574 }
cannam@127 575 {
cannam@127 576 E Tj, Tk, TU, TV;
cannam@127 577 Tj = Rp[WS(rs, 5)];
cannam@127 578 Tk = Rm[WS(rs, 2)];
cannam@127 579 Tl = Tj + Tk;
cannam@127 580 TO = Tj - Tk;
cannam@127 581 TU = Ip[WS(rs, 5)];
cannam@127 582 TV = Im[WS(rs, 2)];
cannam@127 583 TW = TU + TV;
cannam@127 584 T1s = TU - TV;
cannam@127 585 }
cannam@127 586 {
cannam@127 587 E Tn, To, T10, T11;
cannam@127 588 Tn = Rm[0];
cannam@127 589 To = Rp[WS(rs, 7)];
cannam@127 590 Tp = Tn + To;
cannam@127 591 T14 = Tn - To;
cannam@127 592 T10 = Im[0];
cannam@127 593 T11 = Ip[WS(rs, 7)];
cannam@127 594 T12 = T10 + T11;
cannam@127 595 T1u = T11 - T10;
cannam@127 596 }
cannam@127 597 {
cannam@127 598 E Tq, Tr, T15, T16;
cannam@127 599 Tq = Rp[WS(rs, 3)];
cannam@127 600 Tr = Rm[WS(rs, 4)];
cannam@127 601 Ts = Tq + Tr;
cannam@127 602 TZ = Tq - Tr;
cannam@127 603 T15 = Ip[WS(rs, 3)];
cannam@127 604 T16 = Im[WS(rs, 4)];
cannam@127 605 T17 = T15 + T16;
cannam@127 606 T1v = T15 - T16;
cannam@127 607 }
cannam@127 608 {
cannam@127 609 E Tm, Tt, T2O, T2P;
cannam@127 610 Tm = Ti + Tl;
cannam@127 611 Tt = Tp + Ts;
cannam@127 612 Tu = Tm + Tt;
cannam@127 613 T1Y = Tm - Tt;
cannam@127 614 T2O = TR - TO;
cannam@127 615 T2P = TT + TW;
cannam@127 616 T2Q = FMA(KP382683432, T2O, KP923879532 * T2P);
cannam@127 617 T2X = FNMS(KP923879532, T2O, KP382683432 * T2P);
cannam@127 618 }
cannam@127 619 {
cannam@127 620 E T2R, T2S, TS, TX;
cannam@127 621 T2R = TZ + T12;
cannam@127 622 T2S = T14 + T17;
cannam@127 623 T2T = FMA(KP382683432, T2R, KP923879532 * T2S);
cannam@127 624 T2Y = FNMS(KP923879532, T2R, KP382683432 * T2S);
cannam@127 625 TS = TO + TR;
cannam@127 626 TX = TT - TW;
cannam@127 627 TY = FMA(KP923879532, TS, KP382683432 * TX);
cannam@127 628 T1d = FNMS(KP382683432, TS, KP923879532 * TX);
cannam@127 629 }
cannam@127 630 {
cannam@127 631 E T13, T18, T2t, T2u;
cannam@127 632 T13 = TZ - T12;
cannam@127 633 T18 = T14 - T17;
cannam@127 634 T19 = FNMS(KP382683432, T18, KP923879532 * T13);
cannam@127 635 T1e = FMA(KP382683432, T13, KP923879532 * T18);
cannam@127 636 T2t = Ti - Tl;
cannam@127 637 T2u = T1r - T1s;
cannam@127 638 T2v = T2t - T2u;
cannam@127 639 T2C = T2t + T2u;
cannam@127 640 }
cannam@127 641 {
cannam@127 642 E T2w, T2x, T1t, T1w;
cannam@127 643 T2w = Tp - Ts;
cannam@127 644 T2x = T1u - T1v;
cannam@127 645 T2y = T2w + T2x;
cannam@127 646 T2D = T2x - T2w;
cannam@127 647 T1t = T1r + T1s;
cannam@127 648 T1w = T1u + T1v;
cannam@127 649 T1x = T1t + T1w;
cannam@127 650 T1V = T1w - T1t;
cannam@127 651 }
cannam@127 652 }
cannam@127 653 {
cannam@127 654 E Tv, T1F, T1b, T1N, T1p, T1P, T1L, T1R;
cannam@127 655 Tv = Tf + Tu;
cannam@127 656 T1F = T1x + T1E;
cannam@127 657 {
cannam@127 658 E TN, T1a, T1f, T1o;
cannam@127 659 TN = TB + TM;
cannam@127 660 T1a = TY + T19;
cannam@127 661 T1b = TN + T1a;
cannam@127 662 T1N = TN - T1a;
cannam@127 663 T1f = T1d + T1e;
cannam@127 664 T1o = T1i + T1n;
cannam@127 665 T1p = T1f + T1o;
cannam@127 666 T1P = T1o - T1f;
cannam@127 667 {
cannam@127 668 E T1I, T1K, T1H, T1J;
cannam@127 669 T1I = Tf - Tu;
cannam@127 670 T1K = T1E - T1x;
cannam@127 671 T1H = W[14];
cannam@127 672 T1J = W[15];
cannam@127 673 T1L = FNMS(T1J, T1K, T1H * T1I);
cannam@127 674 T1R = FMA(T1J, T1I, T1H * T1K);
cannam@127 675 }
cannam@127 676 }
cannam@127 677 {
cannam@127 678 E T1q, T1G, Tw, T1c;
cannam@127 679 Tw = W[0];
cannam@127 680 T1c = W[1];
cannam@127 681 T1q = FMA(Tw, T1b, T1c * T1p);
cannam@127 682 T1G = FNMS(T1c, T1b, Tw * T1p);
cannam@127 683 Rp[0] = Tv - T1q;
cannam@127 684 Ip[0] = T1F + T1G;
cannam@127 685 Rm[0] = Tv + T1q;
cannam@127 686 Im[0] = T1G - T1F;
cannam@127 687 }
cannam@127 688 {
cannam@127 689 E T1Q, T1S, T1M, T1O;
cannam@127 690 T1M = W[16];
cannam@127 691 T1O = W[17];
cannam@127 692 T1Q = FMA(T1M, T1N, T1O * T1P);
cannam@127 693 T1S = FNMS(T1O, T1N, T1M * T1P);
cannam@127 694 Rp[WS(rs, 4)] = T1L - T1Q;
cannam@127 695 Ip[WS(rs, 4)] = T1R + T1S;
cannam@127 696 Rm[WS(rs, 4)] = T1L + T1Q;
cannam@127 697 Im[WS(rs, 4)] = T1S - T1R;
cannam@127 698 }
cannam@127 699 }
cannam@127 700 {
cannam@127 701 E T25, T2j, T29, T2l, T21, T2b, T2h, T2n;
cannam@127 702 {
cannam@127 703 E T23, T24, T27, T28;
cannam@127 704 T23 = TB - TM;
cannam@127 705 T24 = T1d - T1e;
cannam@127 706 T25 = T23 + T24;
cannam@127 707 T2j = T23 - T24;
cannam@127 708 T27 = T19 - TY;
cannam@127 709 T28 = T1n - T1i;
cannam@127 710 T29 = T27 + T28;
cannam@127 711 T2l = T28 - T27;
cannam@127 712 }
cannam@127 713 {
cannam@127 714 E T1W, T20, T1T, T1X;
cannam@127 715 T1W = T1U + T1V;
cannam@127 716 T20 = T1Y + T1Z;
cannam@127 717 T1T = W[6];
cannam@127 718 T1X = W[7];
cannam@127 719 T21 = FNMS(T1X, T20, T1T * T1W);
cannam@127 720 T2b = FMA(T1X, T1W, T1T * T20);
cannam@127 721 }
cannam@127 722 {
cannam@127 723 E T2e, T2g, T2d, T2f;
cannam@127 724 T2e = T1U - T1V;
cannam@127 725 T2g = T1Z - T1Y;
cannam@127 726 T2d = W[22];
cannam@127 727 T2f = W[23];
cannam@127 728 T2h = FNMS(T2f, T2g, T2d * T2e);
cannam@127 729 T2n = FMA(T2f, T2e, T2d * T2g);
cannam@127 730 }
cannam@127 731 {
cannam@127 732 E T2a, T2c, T22, T26;
cannam@127 733 T22 = W[8];
cannam@127 734 T26 = W[9];
cannam@127 735 T2a = FMA(T22, T25, T26 * T29);
cannam@127 736 T2c = FNMS(T26, T25, T22 * T29);
cannam@127 737 Rp[WS(rs, 2)] = T21 - T2a;
cannam@127 738 Ip[WS(rs, 2)] = T2b + T2c;
cannam@127 739 Rm[WS(rs, 2)] = T21 + T2a;
cannam@127 740 Im[WS(rs, 2)] = T2c - T2b;
cannam@127 741 }
cannam@127 742 {
cannam@127 743 E T2m, T2o, T2i, T2k;
cannam@127 744 T2i = W[24];
cannam@127 745 T2k = W[25];
cannam@127 746 T2m = FMA(T2i, T2j, T2k * T2l);
cannam@127 747 T2o = FNMS(T2k, T2j, T2i * T2l);
cannam@127 748 Rp[WS(rs, 6)] = T2h - T2m;
cannam@127 749 Ip[WS(rs, 6)] = T2n + T2o;
cannam@127 750 Rm[WS(rs, 6)] = T2h + T2m;
cannam@127 751 Im[WS(rs, 6)] = T2o - T2n;
cannam@127 752 }
cannam@127 753 }
cannam@127 754 {
cannam@127 755 E T2A, T38, T2I, T3a, T2V, T3d, T33, T3f, T2z, T2E;
cannam@127 756 T2z = KP707106781 * (T2v + T2y);
cannam@127 757 T2A = T2s + T2z;
cannam@127 758 T38 = T2s - T2z;
cannam@127 759 T2E = KP707106781 * (T2C + T2D);
cannam@127 760 T2I = T2E + T2H;
cannam@127 761 T3a = T2H - T2E;
cannam@127 762 {
cannam@127 763 E T2N, T2U, T2Z, T32;
cannam@127 764 T2N = T2L + T2M;
cannam@127 765 T2U = T2Q - T2T;
cannam@127 766 T2V = T2N + T2U;
cannam@127 767 T3d = T2N - T2U;
cannam@127 768 T2Z = T2X + T2Y;
cannam@127 769 T32 = T30 - T31;
cannam@127 770 T33 = T2Z + T32;
cannam@127 771 T3f = T32 - T2Z;
cannam@127 772 }
cannam@127 773 {
cannam@127 774 E T2J, T35, T34, T36;
cannam@127 775 {
cannam@127 776 E T2p, T2B, T2K, T2W;
cannam@127 777 T2p = W[2];
cannam@127 778 T2B = W[3];
cannam@127 779 T2J = FNMS(T2B, T2I, T2p * T2A);
cannam@127 780 T35 = FMA(T2B, T2A, T2p * T2I);
cannam@127 781 T2K = W[4];
cannam@127 782 T2W = W[5];
cannam@127 783 T34 = FMA(T2K, T2V, T2W * T33);
cannam@127 784 T36 = FNMS(T2W, T2V, T2K * T33);
cannam@127 785 }
cannam@127 786 Rp[WS(rs, 1)] = T2J - T34;
cannam@127 787 Ip[WS(rs, 1)] = T35 + T36;
cannam@127 788 Rm[WS(rs, 1)] = T2J + T34;
cannam@127 789 Im[WS(rs, 1)] = T36 - T35;
cannam@127 790 }
cannam@127 791 {
cannam@127 792 E T3b, T3h, T3g, T3i;
cannam@127 793 {
cannam@127 794 E T37, T39, T3c, T3e;
cannam@127 795 T37 = W[18];
cannam@127 796 T39 = W[19];
cannam@127 797 T3b = FNMS(T39, T3a, T37 * T38);
cannam@127 798 T3h = FMA(T39, T38, T37 * T3a);
cannam@127 799 T3c = W[20];
cannam@127 800 T3e = W[21];
cannam@127 801 T3g = FMA(T3c, T3d, T3e * T3f);
cannam@127 802 T3i = FNMS(T3e, T3d, T3c * T3f);
cannam@127 803 }
cannam@127 804 Rp[WS(rs, 5)] = T3b - T3g;
cannam@127 805 Ip[WS(rs, 5)] = T3h + T3i;
cannam@127 806 Rm[WS(rs, 5)] = T3b + T3g;
cannam@127 807 Im[WS(rs, 5)] = T3i - T3h;
cannam@127 808 }
cannam@127 809 }
cannam@127 810 {
cannam@127 811 E T3m, T3E, T3q, T3G, T3v, T3J, T3z, T3L, T3l, T3o;
cannam@127 812 T3l = KP707106781 * (T2D - T2C);
cannam@127 813 T3m = T3k + T3l;
cannam@127 814 T3E = T3k - T3l;
cannam@127 815 T3o = KP707106781 * (T2v - T2y);
cannam@127 816 T3q = T3o + T3p;
cannam@127 817 T3G = T3p - T3o;
cannam@127 818 {
cannam@127 819 E T3t, T3u, T3x, T3y;
cannam@127 820 T3t = T2L - T2M;
cannam@127 821 T3u = T2X - T2Y;
cannam@127 822 T3v = T3t + T3u;
cannam@127 823 T3J = T3t - T3u;
cannam@127 824 T3x = T31 + T30;
cannam@127 825 T3y = T2Q + T2T;
cannam@127 826 T3z = T3x - T3y;
cannam@127 827 T3L = T3y + T3x;
cannam@127 828 }
cannam@127 829 {
cannam@127 830 E T3r, T3B, T3A, T3C;
cannam@127 831 {
cannam@127 832 E T3j, T3n, T3s, T3w;
cannam@127 833 T3j = W[10];
cannam@127 834 T3n = W[11];
cannam@127 835 T3r = FNMS(T3n, T3q, T3j * T3m);
cannam@127 836 T3B = FMA(T3n, T3m, T3j * T3q);
cannam@127 837 T3s = W[12];
cannam@127 838 T3w = W[13];
cannam@127 839 T3A = FMA(T3s, T3v, T3w * T3z);
cannam@127 840 T3C = FNMS(T3w, T3v, T3s * T3z);
cannam@127 841 }
cannam@127 842 Rp[WS(rs, 3)] = T3r - T3A;
cannam@127 843 Ip[WS(rs, 3)] = T3B + T3C;
cannam@127 844 Rm[WS(rs, 3)] = T3r + T3A;
cannam@127 845 Im[WS(rs, 3)] = T3C - T3B;
cannam@127 846 }
cannam@127 847 {
cannam@127 848 E T3H, T3N, T3M, T3O;
cannam@127 849 {
cannam@127 850 E T3D, T3F, T3I, T3K;
cannam@127 851 T3D = W[26];
cannam@127 852 T3F = W[27];
cannam@127 853 T3H = FNMS(T3F, T3G, T3D * T3E);
cannam@127 854 T3N = FMA(T3F, T3E, T3D * T3G);
cannam@127 855 T3I = W[28];
cannam@127 856 T3K = W[29];
cannam@127 857 T3M = FMA(T3I, T3J, T3K * T3L);
cannam@127 858 T3O = FNMS(T3K, T3J, T3I * T3L);
cannam@127 859 }
cannam@127 860 Rp[WS(rs, 7)] = T3H - T3M;
cannam@127 861 Ip[WS(rs, 7)] = T3N + T3O;
cannam@127 862 Rm[WS(rs, 7)] = T3H + T3M;
cannam@127 863 Im[WS(rs, 7)] = T3O - T3N;
cannam@127 864 }
cannam@127 865 }
cannam@127 866 }
cannam@127 867 }
cannam@127 868 }
cannam@127 869
cannam@127 870 static const tw_instr twinstr[] = {
cannam@127 871 {TW_FULL, 1, 16},
cannam@127 872 {TW_NEXT, 1, 0}
cannam@127 873 };
cannam@127 874
cannam@127 875 static const hc2c_desc desc = { 16, "hc2cbdft_16", twinstr, &GENUS, {168, 46, 38, 0} };
cannam@127 876
cannam@127 877 void X(codelet_hc2cbdft_16) (planner *p) {
cannam@127 878 X(khc2c_register) (p, hc2cbdft_16, &desc, HC2C_VIA_DFT);
cannam@127 879 }
cannam@127 880 #endif /* HAVE_FMA */