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annotate src/fftw-3.3.5/rdft/scalar/r2cb/hc2cbdft_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 16:51:59 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_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 */
Chris@42 29
Chris@42 30 /*
Chris@42 31 * This function contains 206 FP additions, 100 FP multiplications,
Chris@42 32 * (or, 136 additions, 30 multiplications, 70 fused multiply/add),
Chris@42 33 * 97 stack variables, 3 constants, and 64 memory accesses
Chris@42 34 */
Chris@42 35 #include "hc2cb.h"
Chris@42 36
Chris@42 37 static void hc2cbdft_16(R *Rp, R *Ip, R *Rm, R *Im, 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) * 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)) {
Chris@42 45 E T3w, T3z, T2Y, T3D, T3x, T3m, T3u, T3C, T3y, T3o, T3k, T3E, T3A;
Chris@42 46 {
Chris@42 47 E T20, Tf, T3Q, T32, T3V, T3f, T2a, TN, T2f, T1m, T3G, T2G, T3L, T2T, T26;
Chris@42 48 E T1F, T3M, T2N, T3H, T2W, T25, Tu, T1n, T1o, T3R, T3i, T2g, T1a, T21, T1y;
Chris@42 49 E T3W, T39;
Chris@42 50 {
Chris@42 51 E T2R, T1B, T2S, T1E;
Chris@42 52 {
Chris@42 53 E T1e, T3, T1C, TA, Tx, T6, T1D, T1h, Td, T1A, TL, T1k, Ta, TC, TF;
Chris@42 54 E T1z;
Chris@42 55 {
Chris@42 56 E T4, T5, T1f, T1g;
Chris@42 57 {
Chris@42 58 E T1, T2, Ty, Tz;
Chris@42 59 T1 = Rp[0];
Chris@42 60 T2 = Rm[WS(rs, 7)];
Chris@42 61 Ty = Ip[0];
Chris@42 62 Tz = Im[WS(rs, 7)];
Chris@42 63 T4 = Rp[WS(rs, 4)];
Chris@42 64 T1e = T1 - T2;
Chris@42 65 T3 = T1 + T2;
Chris@42 66 T1C = Ty - Tz;
Chris@42 67 TA = Ty + Tz;
Chris@42 68 T5 = Rm[WS(rs, 3)];
Chris@42 69 }
Chris@42 70 T1f = Ip[WS(rs, 4)];
Chris@42 71 T1g = Im[WS(rs, 3)];
Chris@42 72 {
Chris@42 73 E Tb, Tc, TI, TJ;
Chris@42 74 Tb = Rm[WS(rs, 1)];
Chris@42 75 Tx = T4 - T5;
Chris@42 76 T6 = T4 + T5;
Chris@42 77 T1D = T1f - T1g;
Chris@42 78 T1h = T1f + T1g;
Chris@42 79 Tc = Rp[WS(rs, 6)];
Chris@42 80 TI = Im[WS(rs, 1)];
Chris@42 81 TJ = Ip[WS(rs, 6)];
Chris@42 82 {
Chris@42 83 E T8, TH, TK, T9, TD, TE;
Chris@42 84 T8 = Rp[WS(rs, 2)];
Chris@42 85 Td = Tb + Tc;
Chris@42 86 TH = Tb - Tc;
Chris@42 87 T1A = TJ - TI;
Chris@42 88 TK = TI + TJ;
Chris@42 89 T9 = Rm[WS(rs, 5)];
Chris@42 90 TD = Ip[WS(rs, 2)];
Chris@42 91 TE = Im[WS(rs, 5)];
Chris@42 92 TL = TH + TK;
Chris@42 93 T1k = TH - TK;
Chris@42 94 Ta = T8 + T9;
Chris@42 95 TC = T8 - T9;
Chris@42 96 TF = TD + TE;
Chris@42 97 T1z = TD - TE;
Chris@42 98 }
Chris@42 99 }
Chris@42 100 }
Chris@42 101 {
Chris@42 102 E T2E, TB, T1l, T1i, T3d, T3e, TM, T2F;
Chris@42 103 {
Chris@42 104 E T7, TG, Te, T30, T31, T1j;
Chris@42 105 T2E = T3 - T6;
Chris@42 106 T7 = T3 + T6;
Chris@42 107 T1j = TC - TF;
Chris@42 108 TG = TC + TF;
Chris@42 109 Te = Ta + Td;
Chris@42 110 T2R = Ta - Td;
Chris@42 111 TB = Tx + TA;
Chris@42 112 T30 = TA - Tx;
Chris@42 113 T31 = T1j - T1k;
Chris@42 114 T1l = T1j + T1k;
Chris@42 115 T1i = T1e - T1h;
Chris@42 116 T3d = T1e + T1h;
Chris@42 117 T20 = T7 - Te;
Chris@42 118 Tf = T7 + Te;
Chris@42 119 T3Q = FNMS(KP707106781, T31, T30);
Chris@42 120 T32 = FMA(KP707106781, T31, T30);
Chris@42 121 T3e = TG + TL;
Chris@42 122 TM = TG - TL;
Chris@42 123 }
Chris@42 124 T3V = FMA(KP707106781, T3e, T3d);
Chris@42 125 T3f = FNMS(KP707106781, T3e, T3d);
Chris@42 126 T2a = FNMS(KP707106781, TM, TB);
Chris@42 127 TN = FMA(KP707106781, TM, TB);
Chris@42 128 T2F = T1A - T1z;
Chris@42 129 T1B = T1z + T1A;
Chris@42 130 T2f = FNMS(KP707106781, T1l, T1i);
Chris@42 131 T1m = FMA(KP707106781, T1l, T1i);
Chris@42 132 T3G = T2E - T2F;
Chris@42 133 T2G = T2E + T2F;
Chris@42 134 T2S = T1C - T1D;
Chris@42 135 T1E = T1C + T1D;
Chris@42 136 }
Chris@42 137 }
Chris@42 138 {
Chris@42 139 E T34, TS, T2H, Tm, T1u, T2I, T33, TX, Tq, T14, Tp, T1v, T12, Tr, T15;
Chris@42 140 E T16;
Chris@42 141 {
Chris@42 142 E Tj, TT, Ti, T1s, TR, Tk, TU, TV;
Chris@42 143 {
Chris@42 144 E Tg, Th, TP, TQ;
Chris@42 145 Tg = Rp[WS(rs, 1)];
Chris@42 146 T3L = T2S - T2R;
Chris@42 147 T2T = T2R + T2S;
Chris@42 148 T26 = T1E - T1B;
Chris@42 149 T1F = T1B + T1E;
Chris@42 150 Th = Rm[WS(rs, 6)];
Chris@42 151 TP = Ip[WS(rs, 1)];
Chris@42 152 TQ = Im[WS(rs, 6)];
Chris@42 153 Tj = Rp[WS(rs, 5)];
Chris@42 154 TT = Tg - Th;
Chris@42 155 Ti = Tg + Th;
Chris@42 156 T1s = TP - TQ;
Chris@42 157 TR = TP + TQ;
Chris@42 158 Tk = Rm[WS(rs, 2)];
Chris@42 159 TU = Ip[WS(rs, 5)];
Chris@42 160 TV = Im[WS(rs, 2)];
Chris@42 161 }
Chris@42 162 {
Chris@42 163 E Tn, To, T10, T11;
Chris@42 164 Tn = Rm[0];
Chris@42 165 {
Chris@42 166 E TO, Tl, T1t, TW;
Chris@42 167 TO = Tj - Tk;
Chris@42 168 Tl = Tj + Tk;
Chris@42 169 T1t = TU - TV;
Chris@42 170 TW = TU + TV;
Chris@42 171 T34 = TR - TO;
Chris@42 172 TS = TO + TR;
Chris@42 173 T2H = Ti - Tl;
Chris@42 174 Tm = Ti + Tl;
Chris@42 175 T1u = T1s + T1t;
Chris@42 176 T2I = T1s - T1t;
Chris@42 177 T33 = TT + TW;
Chris@42 178 TX = TT - TW;
Chris@42 179 To = Rp[WS(rs, 7)];
Chris@42 180 }
Chris@42 181 T10 = Im[0];
Chris@42 182 T11 = Ip[WS(rs, 7)];
Chris@42 183 Tq = Rp[WS(rs, 3)];
Chris@42 184 T14 = Tn - To;
Chris@42 185 Tp = Tn + To;
Chris@42 186 T1v = T11 - T10;
Chris@42 187 T12 = T10 + T11;
Chris@42 188 Tr = Rm[WS(rs, 4)];
Chris@42 189 T15 = Ip[WS(rs, 3)];
Chris@42 190 T16 = Im[WS(rs, 4)];
Chris@42 191 }
Chris@42 192 }
Chris@42 193 {
Chris@42 194 E T13, T1x, T18, T35, T3g, T3h, T38, TY, T19;
Chris@42 195 {
Chris@42 196 E T2U, T2J, T37, Tt, T36, T2V, T2M, T2K, T2L;
Chris@42 197 T2U = T2H + T2I;
Chris@42 198 T2J = T2H - T2I;
Chris@42 199 {
Chris@42 200 E TZ, Ts, T1w, T17;
Chris@42 201 TZ = Tq - Tr;
Chris@42 202 Ts = Tq + Tr;
Chris@42 203 T1w = T15 - T16;
Chris@42 204 T17 = T15 + T16;
Chris@42 205 T37 = TZ + T12;
Chris@42 206 T13 = TZ - T12;
Chris@42 207 T2K = Tp - Ts;
Chris@42 208 Tt = Tp + Ts;
Chris@42 209 T1x = T1v + T1w;
Chris@42 210 T2L = T1v - T1w;
Chris@42 211 T36 = T14 + T17;
Chris@42 212 T18 = T14 - T17;
Chris@42 213 }
Chris@42 214 T2V = T2L - T2K;
Chris@42 215 T2M = T2K + T2L;
Chris@42 216 T3M = T2J - T2M;
Chris@42 217 T2N = T2J + T2M;
Chris@42 218 T3H = T2V - T2U;
Chris@42 219 T2W = T2U + T2V;
Chris@42 220 T35 = FMA(KP414213562, T34, T33);
Chris@42 221 T3g = FNMS(KP414213562, T33, T34);
Chris@42 222 T25 = Tm - Tt;
Chris@42 223 Tu = Tm + Tt;
Chris@42 224 T3h = FNMS(KP414213562, T36, T37);
Chris@42 225 T38 = FMA(KP414213562, T37, T36);
Chris@42 226 }
Chris@42 227 T1n = FNMS(KP414213562, TS, TX);
Chris@42 228 TY = FMA(KP414213562, TX, TS);
Chris@42 229 T19 = FNMS(KP414213562, T18, T13);
Chris@42 230 T1o = FMA(KP414213562, T13, T18);
Chris@42 231 T3R = T3h - T3g;
Chris@42 232 T3i = T3g + T3h;
Chris@42 233 T2g = T19 - TY;
Chris@42 234 T1a = TY + T19;
Chris@42 235 T21 = T1x - T1u;
Chris@42 236 T1y = T1u + T1x;
Chris@42 237 T3W = T35 + T38;
Chris@42 238 T39 = T35 - T38;
Chris@42 239 }
Chris@42 240 }
Chris@42 241 }
Chris@42 242 {
Chris@42 243 E T27, T22, T2c, T2u, T2x, T2h, T2s, T2A, T2w, T2B, T2v;
Chris@42 244 {
Chris@42 245 E T1K, Tv, T1G, T1N, T1Q, T1b, T2b, T1p, Tw, T1d;
Chris@42 246 T1K = Tf - Tu;
Chris@42 247 Tv = Tf + Tu;
Chris@42 248 T1G = T1y + T1F;
Chris@42 249 T1N = T1F - T1y;
Chris@42 250 T1Q = FNMS(KP923879532, T1a, TN);
Chris@42 251 T1b = FMA(KP923879532, T1a, TN);
Chris@42 252 T2b = T1n - T1o;
Chris@42 253 T1p = T1n + T1o;
Chris@42 254 Tw = W[0];
Chris@42 255 T1d = W[1];
Chris@42 256 {
Chris@42 257 E T1T, T1O, T1W, T1S, T1X, T1R;
Chris@42 258 {
Chris@42 259 E T1J, T1M, T1L, T1V, T1P, T1q;
Chris@42 260 T1T = FNMS(KP923879532, T1p, T1m);
Chris@42 261 T1q = FMA(KP923879532, T1p, T1m);
Chris@42 262 {
Chris@42 263 E T1c, T1I, T1H, T1r;
Chris@42 264 T1c = Tw * T1b;
Chris@42 265 T1J = W[14];
Chris@42 266 T1H = Tw * T1q;
Chris@42 267 T1r = FMA(T1d, T1q, T1c);
Chris@42 268 T1M = W[15];
Chris@42 269 T1L = T1J * T1K;
Chris@42 270 T1I = FNMS(T1d, T1b, T1H);
Chris@42 271 Rm[0] = Tv + T1r;
Chris@42 272 Rp[0] = Tv - T1r;
Chris@42 273 T1V = T1M * T1K;
Chris@42 274 Im[0] = T1I - T1G;
Chris@42 275 Ip[0] = T1G + T1I;
Chris@42 276 T1P = W[16];
Chris@42 277 }
Chris@42 278 T1O = FNMS(T1M, T1N, T1L);
Chris@42 279 T1W = FMA(T1J, T1N, T1V);
Chris@42 280 T1S = W[17];
Chris@42 281 T1X = T1P * T1T;
Chris@42 282 T1R = T1P * T1Q;
Chris@42 283 }
Chris@42 284 {
Chris@42 285 E T2r, T2n, T2q, T2p, T2z, T2t, T2o, T1Y, T1U;
Chris@42 286 T27 = T25 + T26;
Chris@42 287 T2r = T26 - T25;
Chris@42 288 T2o = T20 - T21;
Chris@42 289 T22 = T20 + T21;
Chris@42 290 T1Y = FNMS(T1S, T1Q, T1X);
Chris@42 291 T1U = FMA(T1S, T1T, T1R);
Chris@42 292 T2n = W[22];
Chris@42 293 T2q = W[23];
Chris@42 294 Im[WS(rs, 4)] = T1Y - T1W;
Chris@42 295 Ip[WS(rs, 4)] = T1W + T1Y;
Chris@42 296 Rm[WS(rs, 4)] = T1O + T1U;
Chris@42 297 Rp[WS(rs, 4)] = T1O - T1U;
Chris@42 298 T2p = T2n * T2o;
Chris@42 299 T2z = T2q * T2o;
Chris@42 300 T2c = FMA(KP923879532, T2b, T2a);
Chris@42 301 T2u = FNMS(KP923879532, T2b, T2a);
Chris@42 302 T2x = FNMS(KP923879532, T2g, T2f);
Chris@42 303 T2h = FMA(KP923879532, T2g, T2f);
Chris@42 304 T2t = W[24];
Chris@42 305 T2s = FNMS(T2q, T2r, T2p);
Chris@42 306 T2A = FMA(T2n, T2r, T2z);
Chris@42 307 T2w = W[25];
Chris@42 308 T2B = T2t * T2x;
Chris@42 309 T2v = T2t * T2u;
Chris@42 310 }
Chris@42 311 }
Chris@42 312 }
Chris@42 313 {
Chris@42 314 E T28, T2k, T2e, T2l, T2d;
Chris@42 315 {
Chris@42 316 E T1Z, T24, T23, T2j, T29, T2C, T2y;
Chris@42 317 T2C = FNMS(T2w, T2u, T2B);
Chris@42 318 T2y = FMA(T2w, T2x, T2v);
Chris@42 319 T1Z = W[6];
Chris@42 320 T24 = W[7];
Chris@42 321 Im[WS(rs, 6)] = T2C - T2A;
Chris@42 322 Ip[WS(rs, 6)] = T2A + T2C;
Chris@42 323 Rm[WS(rs, 6)] = T2s + T2y;
Chris@42 324 Rp[WS(rs, 6)] = T2s - T2y;
Chris@42 325 T23 = T1Z * T22;
Chris@42 326 T2j = T24 * T22;
Chris@42 327 T29 = W[8];
Chris@42 328 T28 = FNMS(T24, T27, T23);
Chris@42 329 T2k = FMA(T1Z, T27, T2j);
Chris@42 330 T2e = W[9];
Chris@42 331 T2l = T29 * T2h;
Chris@42 332 T2d = T29 * T2c;
Chris@42 333 }
Chris@42 334 {
Chris@42 335 E T4a, T4d, T3O, T4h, T4b, T40, T48, T4g, T4c, T42, T3Y;
Chris@42 336 {
Chris@42 337 E T3N, T47, T43, T46, T3F, T45, T4f, T3K, T3J, T3S, T3X, T3Z, T49, T41, T3T;
Chris@42 338 E T3U;
Chris@42 339 {
Chris@42 340 E T44, T3I, T2m, T2i, T3P;
Chris@42 341 T44 = FNMS(KP707106781, T3H, T3G);
Chris@42 342 T3I = FMA(KP707106781, T3H, T3G);
Chris@42 343 T2m = FNMS(T2e, T2c, T2l);
Chris@42 344 T2i = FMA(T2e, T2h, T2d);
Chris@42 345 T3N = FMA(KP707106781, T3M, T3L);
Chris@42 346 T47 = FNMS(KP707106781, T3M, T3L);
Chris@42 347 Im[WS(rs, 2)] = T2m - T2k;
Chris@42 348 Ip[WS(rs, 2)] = T2k + T2m;
Chris@42 349 Rm[WS(rs, 2)] = T28 + T2i;
Chris@42 350 Rp[WS(rs, 2)] = T28 - T2i;
Chris@42 351 T43 = W[26];
Chris@42 352 T46 = W[27];
Chris@42 353 T3F = W[10];
Chris@42 354 T45 = T43 * T44;
Chris@42 355 T4f = T46 * T44;
Chris@42 356 T3K = W[11];
Chris@42 357 T3J = T3F * T3I;
Chris@42 358 T4a = FNMS(KP923879532, T3R, T3Q);
Chris@42 359 T3S = FMA(KP923879532, T3R, T3Q);
Chris@42 360 T3X = FNMS(KP923879532, T3W, T3V);
Chris@42 361 T4d = FMA(KP923879532, T3W, T3V);
Chris@42 362 T3Z = T3K * T3I;
Chris@42 363 T3P = W[12];
Chris@42 364 T49 = W[28];
Chris@42 365 T41 = T3P * T3X;
Chris@42 366 T3T = T3P * T3S;
Chris@42 367 }
Chris@42 368 T3O = FNMS(T3K, T3N, T3J);
Chris@42 369 T4h = T49 * T4d;
Chris@42 370 T4b = T49 * T4a;
Chris@42 371 T40 = FMA(T3F, T3N, T3Z);
Chris@42 372 T3U = W[13];
Chris@42 373 T48 = FNMS(T46, T47, T45);
Chris@42 374 T4g = FMA(T43, T47, T4f);
Chris@42 375 T4c = W[29];
Chris@42 376 T42 = FNMS(T3U, T3S, T41);
Chris@42 377 T3Y = FMA(T3U, T3X, T3T);
Chris@42 378 }
Chris@42 379 {
Chris@42 380 E T3t, T2X, T3p, T3s, T2D, T3r, T3B, T2Q, T2P, T3a, T3j, T3l, T3v, T3n, T3b;
Chris@42 381 E T3c;
Chris@42 382 {
Chris@42 383 E T2O, T3q, T4i, T4e, T2Z;
Chris@42 384 T4i = FNMS(T4c, T4a, T4h);
Chris@42 385 T4e = FMA(T4c, T4d, T4b);
Chris@42 386 Im[WS(rs, 3)] = T42 - T40;
Chris@42 387 Ip[WS(rs, 3)] = T40 + T42;
Chris@42 388 Rm[WS(rs, 3)] = T3O + T3Y;
Chris@42 389 Rp[WS(rs, 3)] = T3O - T3Y;
Chris@42 390 Im[WS(rs, 7)] = T4i - T4g;
Chris@42 391 Ip[WS(rs, 7)] = T4g + T4i;
Chris@42 392 Rm[WS(rs, 7)] = T48 + T4e;
Chris@42 393 Rp[WS(rs, 7)] = T48 - T4e;
Chris@42 394 T3t = FNMS(KP707106781, T2W, T2T);
Chris@42 395 T2X = FMA(KP707106781, T2W, T2T);
Chris@42 396 T2O = FMA(KP707106781, T2N, T2G);
Chris@42 397 T3q = FNMS(KP707106781, T2N, T2G);
Chris@42 398 T3p = W[18];
Chris@42 399 T3s = W[19];
Chris@42 400 T2D = W[2];
Chris@42 401 T3r = T3p * T3q;
Chris@42 402 T3B = T3s * T3q;
Chris@42 403 T2Q = W[3];
Chris@42 404 T2P = T2D * T2O;
Chris@42 405 T3a = FMA(KP923879532, T39, T32);
Chris@42 406 T3w = FNMS(KP923879532, T39, T32);
Chris@42 407 T3z = FMA(KP923879532, T3i, T3f);
Chris@42 408 T3j = FNMS(KP923879532, T3i, T3f);
Chris@42 409 T3l = T2Q * T2O;
Chris@42 410 T2Z = W[4];
Chris@42 411 T3v = W[20];
Chris@42 412 T3n = T2Z * T3j;
Chris@42 413 T3b = T2Z * T3a;
Chris@42 414 }
Chris@42 415 T2Y = FNMS(T2Q, T2X, T2P);
Chris@42 416 T3D = T3v * T3z;
Chris@42 417 T3x = T3v * T3w;
Chris@42 418 T3m = FMA(T2D, T2X, T3l);
Chris@42 419 T3c = W[5];
Chris@42 420 T3u = FNMS(T3s, T3t, T3r);
Chris@42 421 T3C = FMA(T3p, T3t, T3B);
Chris@42 422 T3y = W[21];
Chris@42 423 T3o = FNMS(T3c, T3a, T3n);
Chris@42 424 T3k = FMA(T3c, T3j, T3b);
Chris@42 425 }
Chris@42 426 }
Chris@42 427 }
Chris@42 428 }
Chris@42 429 }
Chris@42 430 T3E = FNMS(T3y, T3w, T3D);
Chris@42 431 T3A = FMA(T3y, T3z, T3x);
Chris@42 432 Im[WS(rs, 1)] = T3o - T3m;
Chris@42 433 Ip[WS(rs, 1)] = T3m + T3o;
Chris@42 434 Rm[WS(rs, 1)] = T2Y + T3k;
Chris@42 435 Rp[WS(rs, 1)] = T2Y - T3k;
Chris@42 436 Im[WS(rs, 5)] = T3E - T3C;
Chris@42 437 Ip[WS(rs, 5)] = T3C + T3E;
Chris@42 438 Rm[WS(rs, 5)] = T3u + T3A;
Chris@42 439 Rp[WS(rs, 5)] = T3u - T3A;
Chris@42 440 }
Chris@42 441 }
Chris@42 442 }
Chris@42 443
Chris@42 444 static const tw_instr twinstr[] = {
Chris@42 445 {TW_FULL, 1, 16},
Chris@42 446 {TW_NEXT, 1, 0}
Chris@42 447 };
Chris@42 448
Chris@42 449 static const hc2c_desc desc = { 16, "hc2cbdft_16", twinstr, &GENUS, {136, 30, 70, 0} };
Chris@42 450
Chris@42 451 void X(codelet_hc2cbdft_16) (planner *p) {
Chris@42 452 X(khc2c_register) (p, hc2cbdft_16, &desc, HC2C_VIA_DFT);
Chris@42 453 }
Chris@42 454 #else /* HAVE_FMA */
Chris@42 455
Chris@42 456 /* Generated by: ../../../genfft/gen_hc2cdft.native -compact -variables 4 -pipeline-latency 4 -sign 1 -n 16 -dif -name hc2cbdft_16 -include hc2cb.h */
Chris@42 457
Chris@42 458 /*
Chris@42 459 * This function contains 206 FP additions, 84 FP multiplications,
Chris@42 460 * (or, 168 additions, 46 multiplications, 38 fused multiply/add),
Chris@42 461 * 60 stack variables, 3 constants, and 64 memory accesses
Chris@42 462 */
Chris@42 463 #include "hc2cb.h"
Chris@42 464
Chris@42 465 static void hc2cbdft_16(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@42 466 {
Chris@42 467 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@42 468 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
Chris@42 469 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@42 470 {
Chris@42 471 INT m;
Chris@42 472 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)) {
Chris@42 473 E TB, T2L, T30, T1n, Tf, T1U, T2H, T3p, T1E, T1Z, TM, T31, T2s, T3k, T1i;
Chris@42 474 E T2M, Tu, T1Y, T2Q, T2X, T2T, T2Y, TY, T1d, T19, T1e, T2v, T2C, T2y, T2D;
Chris@42 475 E T1x, T1V;
Chris@42 476 {
Chris@42 477 E T3, T1j, TA, T1B, T6, Tx, T1m, T1C, Ta, TC, TF, T1y, Td, TH, TK;
Chris@42 478 E T1z;
Chris@42 479 {
Chris@42 480 E T1, T2, Ty, Tz;
Chris@42 481 T1 = Rp[0];
Chris@42 482 T2 = Rm[WS(rs, 7)];
Chris@42 483 T3 = T1 + T2;
Chris@42 484 T1j = T1 - T2;
Chris@42 485 Ty = Ip[0];
Chris@42 486 Tz = Im[WS(rs, 7)];
Chris@42 487 TA = Ty + Tz;
Chris@42 488 T1B = Ty - Tz;
Chris@42 489 }
Chris@42 490 {
Chris@42 491 E T4, T5, T1k, T1l;
Chris@42 492 T4 = Rp[WS(rs, 4)];
Chris@42 493 T5 = Rm[WS(rs, 3)];
Chris@42 494 T6 = T4 + T5;
Chris@42 495 Tx = T4 - T5;
Chris@42 496 T1k = Ip[WS(rs, 4)];
Chris@42 497 T1l = Im[WS(rs, 3)];
Chris@42 498 T1m = T1k + T1l;
Chris@42 499 T1C = T1k - T1l;
Chris@42 500 }
Chris@42 501 {
Chris@42 502 E T8, T9, TD, TE;
Chris@42 503 T8 = Rp[WS(rs, 2)];
Chris@42 504 T9 = Rm[WS(rs, 5)];
Chris@42 505 Ta = T8 + T9;
Chris@42 506 TC = T8 - T9;
Chris@42 507 TD = Ip[WS(rs, 2)];
Chris@42 508 TE = Im[WS(rs, 5)];
Chris@42 509 TF = TD + TE;
Chris@42 510 T1y = TD - TE;
Chris@42 511 }
Chris@42 512 {
Chris@42 513 E Tb, Tc, TI, TJ;
Chris@42 514 Tb = Rm[WS(rs, 1)];
Chris@42 515 Tc = Rp[WS(rs, 6)];
Chris@42 516 Td = Tb + Tc;
Chris@42 517 TH = Tb - Tc;
Chris@42 518 TI = Im[WS(rs, 1)];
Chris@42 519 TJ = Ip[WS(rs, 6)];
Chris@42 520 TK = TI + TJ;
Chris@42 521 T1z = TJ - TI;
Chris@42 522 }
Chris@42 523 {
Chris@42 524 E T7, Te, TG, TL;
Chris@42 525 TB = Tx + TA;
Chris@42 526 T2L = TA - Tx;
Chris@42 527 T30 = T1j + T1m;
Chris@42 528 T1n = T1j - T1m;
Chris@42 529 T7 = T3 + T6;
Chris@42 530 Te = Ta + Td;
Chris@42 531 Tf = T7 + Te;
Chris@42 532 T1U = T7 - Te;
Chris@42 533 {
Chris@42 534 E T2F, T2G, T1A, T1D;
Chris@42 535 T2F = Ta - Td;
Chris@42 536 T2G = T1B - T1C;
Chris@42 537 T2H = T2F + T2G;
Chris@42 538 T3p = T2G - T2F;
Chris@42 539 T1A = T1y + T1z;
Chris@42 540 T1D = T1B + T1C;
Chris@42 541 T1E = T1A + T1D;
Chris@42 542 T1Z = T1D - T1A;
Chris@42 543 }
Chris@42 544 TG = TC + TF;
Chris@42 545 TL = TH + TK;
Chris@42 546 TM = KP707106781 * (TG - TL);
Chris@42 547 T31 = KP707106781 * (TG + TL);
Chris@42 548 {
Chris@42 549 E T2q, T2r, T1g, T1h;
Chris@42 550 T2q = T3 - T6;
Chris@42 551 T2r = T1z - T1y;
Chris@42 552 T2s = T2q + T2r;
Chris@42 553 T3k = T2q - T2r;
Chris@42 554 T1g = TC - TF;
Chris@42 555 T1h = TH - TK;
Chris@42 556 T1i = KP707106781 * (T1g + T1h);
Chris@42 557 T2M = KP707106781 * (T1g - T1h);
Chris@42 558 }
Chris@42 559 }
Chris@42 560 }
Chris@42 561 {
Chris@42 562 E Ti, TT, TR, T1r, Tl, TO, TW, T1s, Tp, T14, T12, T1u, Ts, TZ, T17;
Chris@42 563 E T1v;
Chris@42 564 {
Chris@42 565 E Tg, Th, TP, TQ;
Chris@42 566 Tg = Rp[WS(rs, 1)];
Chris@42 567 Th = Rm[WS(rs, 6)];
Chris@42 568 Ti = Tg + Th;
Chris@42 569 TT = Tg - Th;
Chris@42 570 TP = Ip[WS(rs, 1)];
Chris@42 571 TQ = Im[WS(rs, 6)];
Chris@42 572 TR = TP + TQ;
Chris@42 573 T1r = TP - TQ;
Chris@42 574 }
Chris@42 575 {
Chris@42 576 E Tj, Tk, TU, TV;
Chris@42 577 Tj = Rp[WS(rs, 5)];
Chris@42 578 Tk = Rm[WS(rs, 2)];
Chris@42 579 Tl = Tj + Tk;
Chris@42 580 TO = Tj - Tk;
Chris@42 581 TU = Ip[WS(rs, 5)];
Chris@42 582 TV = Im[WS(rs, 2)];
Chris@42 583 TW = TU + TV;
Chris@42 584 T1s = TU - TV;
Chris@42 585 }
Chris@42 586 {
Chris@42 587 E Tn, To, T10, T11;
Chris@42 588 Tn = Rm[0];
Chris@42 589 To = Rp[WS(rs, 7)];
Chris@42 590 Tp = Tn + To;
Chris@42 591 T14 = Tn - To;
Chris@42 592 T10 = Im[0];
Chris@42 593 T11 = Ip[WS(rs, 7)];
Chris@42 594 T12 = T10 + T11;
Chris@42 595 T1u = T11 - T10;
Chris@42 596 }
Chris@42 597 {
Chris@42 598 E Tq, Tr, T15, T16;
Chris@42 599 Tq = Rp[WS(rs, 3)];
Chris@42 600 Tr = Rm[WS(rs, 4)];
Chris@42 601 Ts = Tq + Tr;
Chris@42 602 TZ = Tq - Tr;
Chris@42 603 T15 = Ip[WS(rs, 3)];
Chris@42 604 T16 = Im[WS(rs, 4)];
Chris@42 605 T17 = T15 + T16;
Chris@42 606 T1v = T15 - T16;
Chris@42 607 }
Chris@42 608 {
Chris@42 609 E Tm, Tt, T2O, T2P;
Chris@42 610 Tm = Ti + Tl;
Chris@42 611 Tt = Tp + Ts;
Chris@42 612 Tu = Tm + Tt;
Chris@42 613 T1Y = Tm - Tt;
Chris@42 614 T2O = TR - TO;
Chris@42 615 T2P = TT + TW;
Chris@42 616 T2Q = FMA(KP382683432, T2O, KP923879532 * T2P);
Chris@42 617 T2X = FNMS(KP923879532, T2O, KP382683432 * T2P);
Chris@42 618 }
Chris@42 619 {
Chris@42 620 E T2R, T2S, TS, TX;
Chris@42 621 T2R = TZ + T12;
Chris@42 622 T2S = T14 + T17;
Chris@42 623 T2T = FMA(KP382683432, T2R, KP923879532 * T2S);
Chris@42 624 T2Y = FNMS(KP923879532, T2R, KP382683432 * T2S);
Chris@42 625 TS = TO + TR;
Chris@42 626 TX = TT - TW;
Chris@42 627 TY = FMA(KP923879532, TS, KP382683432 * TX);
Chris@42 628 T1d = FNMS(KP382683432, TS, KP923879532 * TX);
Chris@42 629 }
Chris@42 630 {
Chris@42 631 E T13, T18, T2t, T2u;
Chris@42 632 T13 = TZ - T12;
Chris@42 633 T18 = T14 - T17;
Chris@42 634 T19 = FNMS(KP382683432, T18, KP923879532 * T13);
Chris@42 635 T1e = FMA(KP382683432, T13, KP923879532 * T18);
Chris@42 636 T2t = Ti - Tl;
Chris@42 637 T2u = T1r - T1s;
Chris@42 638 T2v = T2t - T2u;
Chris@42 639 T2C = T2t + T2u;
Chris@42 640 }
Chris@42 641 {
Chris@42 642 E T2w, T2x, T1t, T1w;
Chris@42 643 T2w = Tp - Ts;
Chris@42 644 T2x = T1u - T1v;
Chris@42 645 T2y = T2w + T2x;
Chris@42 646 T2D = T2x - T2w;
Chris@42 647 T1t = T1r + T1s;
Chris@42 648 T1w = T1u + T1v;
Chris@42 649 T1x = T1t + T1w;
Chris@42 650 T1V = T1w - T1t;
Chris@42 651 }
Chris@42 652 }
Chris@42 653 {
Chris@42 654 E Tv, T1F, T1b, T1N, T1p, T1P, T1L, T1R;
Chris@42 655 Tv = Tf + Tu;
Chris@42 656 T1F = T1x + T1E;
Chris@42 657 {
Chris@42 658 E TN, T1a, T1f, T1o;
Chris@42 659 TN = TB + TM;
Chris@42 660 T1a = TY + T19;
Chris@42 661 T1b = TN + T1a;
Chris@42 662 T1N = TN - T1a;
Chris@42 663 T1f = T1d + T1e;
Chris@42 664 T1o = T1i + T1n;
Chris@42 665 T1p = T1f + T1o;
Chris@42 666 T1P = T1o - T1f;
Chris@42 667 {
Chris@42 668 E T1I, T1K, T1H, T1J;
Chris@42 669 T1I = Tf - Tu;
Chris@42 670 T1K = T1E - T1x;
Chris@42 671 T1H = W[14];
Chris@42 672 T1J = W[15];
Chris@42 673 T1L = FNMS(T1J, T1K, T1H * T1I);
Chris@42 674 T1R = FMA(T1J, T1I, T1H * T1K);
Chris@42 675 }
Chris@42 676 }
Chris@42 677 {
Chris@42 678 E T1q, T1G, Tw, T1c;
Chris@42 679 Tw = W[0];
Chris@42 680 T1c = W[1];
Chris@42 681 T1q = FMA(Tw, T1b, T1c * T1p);
Chris@42 682 T1G = FNMS(T1c, T1b, Tw * T1p);
Chris@42 683 Rp[0] = Tv - T1q;
Chris@42 684 Ip[0] = T1F + T1G;
Chris@42 685 Rm[0] = Tv + T1q;
Chris@42 686 Im[0] = T1G - T1F;
Chris@42 687 }
Chris@42 688 {
Chris@42 689 E T1Q, T1S, T1M, T1O;
Chris@42 690 T1M = W[16];
Chris@42 691 T1O = W[17];
Chris@42 692 T1Q = FMA(T1M, T1N, T1O * T1P);
Chris@42 693 T1S = FNMS(T1O, T1N, T1M * T1P);
Chris@42 694 Rp[WS(rs, 4)] = T1L - T1Q;
Chris@42 695 Ip[WS(rs, 4)] = T1R + T1S;
Chris@42 696 Rm[WS(rs, 4)] = T1L + T1Q;
Chris@42 697 Im[WS(rs, 4)] = T1S - T1R;
Chris@42 698 }
Chris@42 699 }
Chris@42 700 {
Chris@42 701 E T25, T2j, T29, T2l, T21, T2b, T2h, T2n;
Chris@42 702 {
Chris@42 703 E T23, T24, T27, T28;
Chris@42 704 T23 = TB - TM;
Chris@42 705 T24 = T1d - T1e;
Chris@42 706 T25 = T23 + T24;
Chris@42 707 T2j = T23 - T24;
Chris@42 708 T27 = T19 - TY;
Chris@42 709 T28 = T1n - T1i;
Chris@42 710 T29 = T27 + T28;
Chris@42 711 T2l = T28 - T27;
Chris@42 712 }
Chris@42 713 {
Chris@42 714 E T1W, T20, T1T, T1X;
Chris@42 715 T1W = T1U + T1V;
Chris@42 716 T20 = T1Y + T1Z;
Chris@42 717 T1T = W[6];
Chris@42 718 T1X = W[7];
Chris@42 719 T21 = FNMS(T1X, T20, T1T * T1W);
Chris@42 720 T2b = FMA(T1X, T1W, T1T * T20);
Chris@42 721 }
Chris@42 722 {
Chris@42 723 E T2e, T2g, T2d, T2f;
Chris@42 724 T2e = T1U - T1V;
Chris@42 725 T2g = T1Z - T1Y;
Chris@42 726 T2d = W[22];
Chris@42 727 T2f = W[23];
Chris@42 728 T2h = FNMS(T2f, T2g, T2d * T2e);
Chris@42 729 T2n = FMA(T2f, T2e, T2d * T2g);
Chris@42 730 }
Chris@42 731 {
Chris@42 732 E T2a, T2c, T22, T26;
Chris@42 733 T22 = W[8];
Chris@42 734 T26 = W[9];
Chris@42 735 T2a = FMA(T22, T25, T26 * T29);
Chris@42 736 T2c = FNMS(T26, T25, T22 * T29);
Chris@42 737 Rp[WS(rs, 2)] = T21 - T2a;
Chris@42 738 Ip[WS(rs, 2)] = T2b + T2c;
Chris@42 739 Rm[WS(rs, 2)] = T21 + T2a;
Chris@42 740 Im[WS(rs, 2)] = T2c - T2b;
Chris@42 741 }
Chris@42 742 {
Chris@42 743 E T2m, T2o, T2i, T2k;
Chris@42 744 T2i = W[24];
Chris@42 745 T2k = W[25];
Chris@42 746 T2m = FMA(T2i, T2j, T2k * T2l);
Chris@42 747 T2o = FNMS(T2k, T2j, T2i * T2l);
Chris@42 748 Rp[WS(rs, 6)] = T2h - T2m;
Chris@42 749 Ip[WS(rs, 6)] = T2n + T2o;
Chris@42 750 Rm[WS(rs, 6)] = T2h + T2m;
Chris@42 751 Im[WS(rs, 6)] = T2o - T2n;
Chris@42 752 }
Chris@42 753 }
Chris@42 754 {
Chris@42 755 E T2A, T38, T2I, T3a, T2V, T3d, T33, T3f, T2z, T2E;
Chris@42 756 T2z = KP707106781 * (T2v + T2y);
Chris@42 757 T2A = T2s + T2z;
Chris@42 758 T38 = T2s - T2z;
Chris@42 759 T2E = KP707106781 * (T2C + T2D);
Chris@42 760 T2I = T2E + T2H;
Chris@42 761 T3a = T2H - T2E;
Chris@42 762 {
Chris@42 763 E T2N, T2U, T2Z, T32;
Chris@42 764 T2N = T2L + T2M;
Chris@42 765 T2U = T2Q - T2T;
Chris@42 766 T2V = T2N + T2U;
Chris@42 767 T3d = T2N - T2U;
Chris@42 768 T2Z = T2X + T2Y;
Chris@42 769 T32 = T30 - T31;
Chris@42 770 T33 = T2Z + T32;
Chris@42 771 T3f = T32 - T2Z;
Chris@42 772 }
Chris@42 773 {
Chris@42 774 E T2J, T35, T34, T36;
Chris@42 775 {
Chris@42 776 E T2p, T2B, T2K, T2W;
Chris@42 777 T2p = W[2];
Chris@42 778 T2B = W[3];
Chris@42 779 T2J = FNMS(T2B, T2I, T2p * T2A);
Chris@42 780 T35 = FMA(T2B, T2A, T2p * T2I);
Chris@42 781 T2K = W[4];
Chris@42 782 T2W = W[5];
Chris@42 783 T34 = FMA(T2K, T2V, T2W * T33);
Chris@42 784 T36 = FNMS(T2W, T2V, T2K * T33);
Chris@42 785 }
Chris@42 786 Rp[WS(rs, 1)] = T2J - T34;
Chris@42 787 Ip[WS(rs, 1)] = T35 + T36;
Chris@42 788 Rm[WS(rs, 1)] = T2J + T34;
Chris@42 789 Im[WS(rs, 1)] = T36 - T35;
Chris@42 790 }
Chris@42 791 {
Chris@42 792 E T3b, T3h, T3g, T3i;
Chris@42 793 {
Chris@42 794 E T37, T39, T3c, T3e;
Chris@42 795 T37 = W[18];
Chris@42 796 T39 = W[19];
Chris@42 797 T3b = FNMS(T39, T3a, T37 * T38);
Chris@42 798 T3h = FMA(T39, T38, T37 * T3a);
Chris@42 799 T3c = W[20];
Chris@42 800 T3e = W[21];
Chris@42 801 T3g = FMA(T3c, T3d, T3e * T3f);
Chris@42 802 T3i = FNMS(T3e, T3d, T3c * T3f);
Chris@42 803 }
Chris@42 804 Rp[WS(rs, 5)] = T3b - T3g;
Chris@42 805 Ip[WS(rs, 5)] = T3h + T3i;
Chris@42 806 Rm[WS(rs, 5)] = T3b + T3g;
Chris@42 807 Im[WS(rs, 5)] = T3i - T3h;
Chris@42 808 }
Chris@42 809 }
Chris@42 810 {
Chris@42 811 E T3m, T3E, T3q, T3G, T3v, T3J, T3z, T3L, T3l, T3o;
Chris@42 812 T3l = KP707106781 * (T2D - T2C);
Chris@42 813 T3m = T3k + T3l;
Chris@42 814 T3E = T3k - T3l;
Chris@42 815 T3o = KP707106781 * (T2v - T2y);
Chris@42 816 T3q = T3o + T3p;
Chris@42 817 T3G = T3p - T3o;
Chris@42 818 {
Chris@42 819 E T3t, T3u, T3x, T3y;
Chris@42 820 T3t = T2L - T2M;
Chris@42 821 T3u = T2X - T2Y;
Chris@42 822 T3v = T3t + T3u;
Chris@42 823 T3J = T3t - T3u;
Chris@42 824 T3x = T31 + T30;
Chris@42 825 T3y = T2Q + T2T;
Chris@42 826 T3z = T3x - T3y;
Chris@42 827 T3L = T3y + T3x;
Chris@42 828 }
Chris@42 829 {
Chris@42 830 E T3r, T3B, T3A, T3C;
Chris@42 831 {
Chris@42 832 E T3j, T3n, T3s, T3w;
Chris@42 833 T3j = W[10];
Chris@42 834 T3n = W[11];
Chris@42 835 T3r = FNMS(T3n, T3q, T3j * T3m);
Chris@42 836 T3B = FMA(T3n, T3m, T3j * T3q);
Chris@42 837 T3s = W[12];
Chris@42 838 T3w = W[13];
Chris@42 839 T3A = FMA(T3s, T3v, T3w * T3z);
Chris@42 840 T3C = FNMS(T3w, T3v, T3s * T3z);
Chris@42 841 }
Chris@42 842 Rp[WS(rs, 3)] = T3r - T3A;
Chris@42 843 Ip[WS(rs, 3)] = T3B + T3C;
Chris@42 844 Rm[WS(rs, 3)] = T3r + T3A;
Chris@42 845 Im[WS(rs, 3)] = T3C - T3B;
Chris@42 846 }
Chris@42 847 {
Chris@42 848 E T3H, T3N, T3M, T3O;
Chris@42 849 {
Chris@42 850 E T3D, T3F, T3I, T3K;
Chris@42 851 T3D = W[26];
Chris@42 852 T3F = W[27];
Chris@42 853 T3H = FNMS(T3F, T3G, T3D * T3E);
Chris@42 854 T3N = FMA(T3F, T3E, T3D * T3G);
Chris@42 855 T3I = W[28];
Chris@42 856 T3K = W[29];
Chris@42 857 T3M = FMA(T3I, T3J, T3K * T3L);
Chris@42 858 T3O = FNMS(T3K, T3J, T3I * T3L);
Chris@42 859 }
Chris@42 860 Rp[WS(rs, 7)] = T3H - T3M;
Chris@42 861 Ip[WS(rs, 7)] = T3N + T3O;
Chris@42 862 Rm[WS(rs, 7)] = T3H + T3M;
Chris@42 863 Im[WS(rs, 7)] = T3O - T3N;
Chris@42 864 }
Chris@42 865 }
Chris@42 866 }
Chris@42 867 }
Chris@42 868 }
Chris@42 869
Chris@42 870 static const tw_instr twinstr[] = {
Chris@42 871 {TW_FULL, 1, 16},
Chris@42 872 {TW_NEXT, 1, 0}
Chris@42 873 };
Chris@42 874
Chris@42 875 static const hc2c_desc desc = { 16, "hc2cbdft_16", twinstr, &GENUS, {168, 46, 38, 0} };
Chris@42 876
Chris@42 877 void X(codelet_hc2cbdft_16) (planner *p) {
Chris@42 878 X(khc2c_register) (p, hc2cbdft_16, &desc, HC2C_VIA_DFT);
Chris@42 879 }
Chris@42 880 #endif /* HAVE_FMA */