annotate fft/fftw/fftw-3.3.4/rdft/scalar/r2cb/hc2cb_16.c @ 40:223f770b5341 kissfft-double tip

Try a double-precision kissfft
author Chris Cannam
date Wed, 07 Sep 2016 10:40:32 +0100
parents 26056e866c29
children
rev   line source
Chris@19 1 /*
Chris@19 2 * Copyright (c) 2003, 2007-14 Matteo Frigo
Chris@19 3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
Chris@19 4 *
Chris@19 5 * This program is free software; you can redistribute it and/or modify
Chris@19 6 * it under the terms of the GNU General Public License as published by
Chris@19 7 * the Free Software Foundation; either version 2 of the License, or
Chris@19 8 * (at your option) any later version.
Chris@19 9 *
Chris@19 10 * This program is distributed in the hope that it will be useful,
Chris@19 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
Chris@19 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
Chris@19 13 * GNU General Public License for more details.
Chris@19 14 *
Chris@19 15 * You should have received a copy of the GNU General Public License
Chris@19 16 * along with this program; if not, write to the Free Software
Chris@19 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
Chris@19 18 *
Chris@19 19 */
Chris@19 20
Chris@19 21 /* This file was automatically generated --- DO NOT EDIT */
Chris@19 22 /* Generated on Tue Mar 4 13:50:38 EST 2014 */
Chris@19 23
Chris@19 24 #include "codelet-rdft.h"
Chris@19 25
Chris@19 26 #ifdef HAVE_FMA
Chris@19 27
Chris@19 28 /* Generated by: ../../../genfft/gen_hc2c.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -n 16 -dif -name hc2cb_16 -include hc2cb.h */
Chris@19 29
Chris@19 30 /*
Chris@19 31 * This function contains 174 FP additions, 100 FP multiplications,
Chris@19 32 * (or, 104 additions, 30 multiplications, 70 fused multiply/add),
Chris@19 33 * 78 stack variables, 3 constants, and 64 memory accesses
Chris@19 34 */
Chris@19 35 #include "hc2cb.h"
Chris@19 36
Chris@19 37 static void hc2cb_16(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@19 38 {
Chris@19 39 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@19 40 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@19 41 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
Chris@19 42 {
Chris@19 43 INT m;
Chris@19 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@19 45 E T1I, T1L, T1K, T1M, T1J;
Chris@19 46 {
Chris@19 47 E T1O, TA, T1h, T21, T3b, T2T, T3D, T3r, T1k, T1P, T3y, Tf, T36, T2A, T22;
Chris@19 48 E TL, T2F, T2U, T3u, T3z, T2K, T2V, T12, Tu, T3E, TX, T1n, T17, T1T, T24;
Chris@19 49 E T1W, T25;
Chris@19 50 {
Chris@19 51 E T2z, TF, TK, T2w;
Chris@19 52 {
Chris@19 53 E Tw, T3, T2Q, T1g, T1d, T6, T2R, Tz, Tb, TB, Ta, T2y, TE, Tc, TH;
Chris@19 54 E TI;
Chris@19 55 {
Chris@19 56 E T4, T5, Tx, Ty;
Chris@19 57 {
Chris@19 58 E T1, T2, T1e, T1f;
Chris@19 59 T1 = Rp[0];
Chris@19 60 T2 = Rm[WS(rs, 7)];
Chris@19 61 T1e = Ip[0];
Chris@19 62 T1f = Im[WS(rs, 7)];
Chris@19 63 T4 = Rp[WS(rs, 4)];
Chris@19 64 Tw = T1 - T2;
Chris@19 65 T3 = T1 + T2;
Chris@19 66 T2Q = T1e - T1f;
Chris@19 67 T1g = T1e + T1f;
Chris@19 68 T5 = Rm[WS(rs, 3)];
Chris@19 69 Tx = Ip[WS(rs, 4)];
Chris@19 70 Ty = Im[WS(rs, 3)];
Chris@19 71 }
Chris@19 72 {
Chris@19 73 E T8, T9, TC, TD;
Chris@19 74 T8 = Rp[WS(rs, 2)];
Chris@19 75 T1d = T4 - T5;
Chris@19 76 T6 = T4 + T5;
Chris@19 77 T2R = Tx - Ty;
Chris@19 78 Tz = Tx + Ty;
Chris@19 79 T9 = Rm[WS(rs, 5)];
Chris@19 80 TC = Ip[WS(rs, 2)];
Chris@19 81 TD = Im[WS(rs, 5)];
Chris@19 82 Tb = Rm[WS(rs, 1)];
Chris@19 83 TB = T8 - T9;
Chris@19 84 Ta = T8 + T9;
Chris@19 85 T2y = TC - TD;
Chris@19 86 TE = TC + TD;
Chris@19 87 Tc = Rp[WS(rs, 6)];
Chris@19 88 TH = Ip[WS(rs, 6)];
Chris@19 89 TI = Im[WS(rs, 1)];
Chris@19 90 }
Chris@19 91 }
Chris@19 92 {
Chris@19 93 E TG, T2x, TJ, Te, T2P, T2S, T3p, Td;
Chris@19 94 T1O = Tw + Tz;
Chris@19 95 TA = Tw - Tz;
Chris@19 96 TG = Tb - Tc;
Chris@19 97 Td = Tb + Tc;
Chris@19 98 T2x = TH - TI;
Chris@19 99 TJ = TH + TI;
Chris@19 100 T1h = T1d + T1g;
Chris@19 101 T21 = T1g - T1d;
Chris@19 102 Te = Ta + Td;
Chris@19 103 T2P = Ta - Td;
Chris@19 104 T2S = T2Q - T2R;
Chris@19 105 T3p = T2Q + T2R;
Chris@19 106 {
Chris@19 107 E T1i, T1j, T3q, T7;
Chris@19 108 T3q = T2y + T2x;
Chris@19 109 T2z = T2x - T2y;
Chris@19 110 TF = TB - TE;
Chris@19 111 T1i = TB + TE;
Chris@19 112 T3b = T2S - T2P;
Chris@19 113 T2T = T2P + T2S;
Chris@19 114 TK = TG - TJ;
Chris@19 115 T1j = TG + TJ;
Chris@19 116 T3D = T3p - T3q;
Chris@19 117 T3r = T3p + T3q;
Chris@19 118 T2w = T3 - T6;
Chris@19 119 T7 = T3 + T6;
Chris@19 120 T1k = T1i - T1j;
Chris@19 121 T1P = T1i + T1j;
Chris@19 122 T3y = T7 - Te;
Chris@19 123 Tf = T7 + Te;
Chris@19 124 }
Chris@19 125 }
Chris@19 126 }
Chris@19 127 {
Chris@19 128 E T13, Ti, T2C, T11, TY, Tl, T2D, T16, Tq, TS, Tp, T2H, TQ, Tr, TT;
Chris@19 129 E TU;
Chris@19 130 {
Chris@19 131 E Tj, Tk, T14, T15;
Chris@19 132 {
Chris@19 133 E Tg, Th, TZ, T10;
Chris@19 134 Tg = Rp[WS(rs, 1)];
Chris@19 135 T36 = T2w - T2z;
Chris@19 136 T2A = T2w + T2z;
Chris@19 137 T22 = TF - TK;
Chris@19 138 TL = TF + TK;
Chris@19 139 Th = Rm[WS(rs, 6)];
Chris@19 140 TZ = Ip[WS(rs, 1)];
Chris@19 141 T10 = Im[WS(rs, 6)];
Chris@19 142 Tj = Rp[WS(rs, 5)];
Chris@19 143 T13 = Tg - Th;
Chris@19 144 Ti = Tg + Th;
Chris@19 145 T2C = TZ - T10;
Chris@19 146 T11 = TZ + T10;
Chris@19 147 Tk = Rm[WS(rs, 2)];
Chris@19 148 T14 = Ip[WS(rs, 5)];
Chris@19 149 T15 = Im[WS(rs, 2)];
Chris@19 150 }
Chris@19 151 {
Chris@19 152 E Tn, To, TO, TP;
Chris@19 153 Tn = Rm[0];
Chris@19 154 TY = Tj - Tk;
Chris@19 155 Tl = Tj + Tk;
Chris@19 156 T2D = T14 - T15;
Chris@19 157 T16 = T14 + T15;
Chris@19 158 To = Rp[WS(rs, 7)];
Chris@19 159 TO = Ip[WS(rs, 7)];
Chris@19 160 TP = Im[0];
Chris@19 161 Tq = Rp[WS(rs, 3)];
Chris@19 162 TS = Tn - To;
Chris@19 163 Tp = Tn + To;
Chris@19 164 T2H = TO - TP;
Chris@19 165 TQ = TO + TP;
Chris@19 166 Tr = Rm[WS(rs, 4)];
Chris@19 167 TT = Ip[WS(rs, 3)];
Chris@19 168 TU = Im[WS(rs, 4)];
Chris@19 169 }
Chris@19 170 }
Chris@19 171 {
Chris@19 172 E TN, TV, Tm, Tt;
Chris@19 173 {
Chris@19 174 E T2E, T3s, Ts, T2B, T3t, T2J, T2I, T2G;
Chris@19 175 T2E = T2C - T2D;
Chris@19 176 T3s = T2C + T2D;
Chris@19 177 TN = Tq - Tr;
Chris@19 178 Ts = Tq + Tr;
Chris@19 179 T2I = TT - TU;
Chris@19 180 TV = TT + TU;
Chris@19 181 T2B = Ti - Tl;
Chris@19 182 Tm = Ti + Tl;
Chris@19 183 T3t = T2H + T2I;
Chris@19 184 T2J = T2H - T2I;
Chris@19 185 Tt = Tp + Ts;
Chris@19 186 T2G = Tp - Ts;
Chris@19 187 T2F = T2B - T2E;
Chris@19 188 T2U = T2B + T2E;
Chris@19 189 T3u = T3s + T3t;
Chris@19 190 T3z = T3t - T3s;
Chris@19 191 T2K = T2G + T2J;
Chris@19 192 T2V = T2J - T2G;
Chris@19 193 }
Chris@19 194 {
Chris@19 195 E T1U, T1V, T1R, T1S, TR, TW;
Chris@19 196 TR = TN - TQ;
Chris@19 197 T1U = TN + TQ;
Chris@19 198 T1V = TS + TV;
Chris@19 199 TW = TS - TV;
Chris@19 200 T1R = T11 - TY;
Chris@19 201 T12 = TY + T11;
Chris@19 202 Tu = Tm + Tt;
Chris@19 203 T3E = Tm - Tt;
Chris@19 204 TX = FNMS(KP414213562, TW, TR);
Chris@19 205 T1n = FMA(KP414213562, TR, TW);
Chris@19 206 T17 = T13 - T16;
Chris@19 207 T1S = T13 + T16;
Chris@19 208 T1T = FNMS(KP414213562, T1S, T1R);
Chris@19 209 T24 = FMA(KP414213562, T1R, T1S);
Chris@19 210 T1W = FNMS(KP414213562, T1V, T1U);
Chris@19 211 T25 = FMA(KP414213562, T1U, T1V);
Chris@19 212 }
Chris@19 213 }
Chris@19 214 }
Chris@19 215 }
Chris@19 216 {
Chris@19 217 E T18, T1m, T2W, T2L, T3j, T3i, T3h;
Chris@19 218 {
Chris@19 219 E T3m, T3v, T3l, T3o;
Chris@19 220 Rp[0] = Tf + Tu;
Chris@19 221 T18 = FMA(KP414213562, T17, T12);
Chris@19 222 T1m = FNMS(KP414213562, T12, T17);
Chris@19 223 T3m = Tf - Tu;
Chris@19 224 T3v = T3r - T3u;
Chris@19 225 T3l = W[14];
Chris@19 226 T3o = W[15];
Chris@19 227 Rm[0] = T3r + T3u;
Chris@19 228 {
Chris@19 229 E T3A, T3I, T3L, T3F, T3C, T3G, T3B, T3x, T3n, T3w, T3H, T3K;
Chris@19 230 T3A = T3y - T3z;
Chris@19 231 T3I = T3y + T3z;
Chris@19 232 T3n = T3l * T3m;
Chris@19 233 T3w = T3o * T3m;
Chris@19 234 T3L = T3E + T3D;
Chris@19 235 T3F = T3D - T3E;
Chris@19 236 T3x = W[22];
Chris@19 237 Rp[WS(rs, 4)] = FNMS(T3o, T3v, T3n);
Chris@19 238 Rm[WS(rs, 4)] = FMA(T3l, T3v, T3w);
Chris@19 239 T3C = W[23];
Chris@19 240 T3G = T3x * T3F;
Chris@19 241 T3B = T3x * T3A;
Chris@19 242 Rm[WS(rs, 6)] = FMA(T3C, T3A, T3G);
Chris@19 243 Rp[WS(rs, 6)] = FNMS(T3C, T3F, T3B);
Chris@19 244 T3H = W[6];
Chris@19 245 T3K = W[7];
Chris@19 246 {
Chris@19 247 E T3g, T38, T3d, T35, T3a;
Chris@19 248 {
Chris@19 249 E T37, T3c, T3M, T3J;
Chris@19 250 T37 = T2V - T2U;
Chris@19 251 T2W = T2U + T2V;
Chris@19 252 T2L = T2F + T2K;
Chris@19 253 T3c = T2F - T2K;
Chris@19 254 T3M = T3H * T3L;
Chris@19 255 T3J = T3H * T3I;
Chris@19 256 T3g = FMA(KP707106781, T37, T36);
Chris@19 257 T38 = FNMS(KP707106781, T37, T36);
Chris@19 258 Rm[WS(rs, 2)] = FMA(T3K, T3I, T3M);
Chris@19 259 Rp[WS(rs, 2)] = FNMS(T3K, T3L, T3J);
Chris@19 260 T3d = FNMS(KP707106781, T3c, T3b);
Chris@19 261 T3j = FMA(KP707106781, T3c, T3b);
Chris@19 262 }
Chris@19 263 T35 = W[26];
Chris@19 264 T3a = W[27];
Chris@19 265 {
Chris@19 266 E T3f, T3e, T39, T3k;
Chris@19 267 T3f = W[10];
Chris@19 268 T3i = W[11];
Chris@19 269 T3e = T35 * T3d;
Chris@19 270 T39 = T35 * T38;
Chris@19 271 T3k = T3f * T3j;
Chris@19 272 T3h = T3f * T3g;
Chris@19 273 Rm[WS(rs, 7)] = FMA(T3a, T38, T3e);
Chris@19 274 Rp[WS(rs, 7)] = FNMS(T3a, T3d, T39);
Chris@19 275 Rm[WS(rs, 3)] = FMA(T3i, T3g, T3k);
Chris@19 276 }
Chris@19 277 }
Chris@19 278 }
Chris@19 279 }
Chris@19 280 Rp[WS(rs, 3)] = FNMS(T3i, T3j, T3h);
Chris@19 281 {
Chris@19 282 E T2g, T2m, T2l, T2h, T2d, T29, T2c, T2b, T2e;
Chris@19 283 {
Chris@19 284 E T33, T2Z, T32, T31, T34;
Chris@19 285 {
Chris@19 286 E T2v, T30, T2M, T2X, T2O, T2N, T2Y;
Chris@19 287 T2v = W[18];
Chris@19 288 T30 = FMA(KP707106781, T2L, T2A);
Chris@19 289 T2M = FNMS(KP707106781, T2L, T2A);
Chris@19 290 T33 = FMA(KP707106781, T2W, T2T);
Chris@19 291 T2X = FNMS(KP707106781, T2W, T2T);
Chris@19 292 T2O = W[19];
Chris@19 293 T2N = T2v * T2M;
Chris@19 294 T2Z = W[2];
Chris@19 295 T32 = W[3];
Chris@19 296 T2Y = T2O * T2M;
Chris@19 297 Rp[WS(rs, 5)] = FNMS(T2O, T2X, T2N);
Chris@19 298 T31 = T2Z * T30;
Chris@19 299 T34 = T32 * T30;
Chris@19 300 Rm[WS(rs, 5)] = FMA(T2v, T2X, T2Y);
Chris@19 301 }
Chris@19 302 {
Chris@19 303 E T1Q, T1X, T23, T26;
Chris@19 304 T2g = FMA(KP707106781, T1P, T1O);
Chris@19 305 T1Q = FNMS(KP707106781, T1P, T1O);
Chris@19 306 Rp[WS(rs, 1)] = FNMS(T32, T33, T31);
Chris@19 307 Rm[WS(rs, 1)] = FMA(T2Z, T33, T34);
Chris@19 308 T1X = T1T + T1W;
Chris@19 309 T2m = T1W - T1T;
Chris@19 310 T2l = FNMS(KP707106781, T22, T21);
Chris@19 311 T23 = FMA(KP707106781, T22, T21);
Chris@19 312 T26 = T24 - T25;
Chris@19 313 T2h = T24 + T25;
Chris@19 314 {
Chris@19 315 E T1N, T2a, T1Y, T27, T20, T1Z, T28;
Chris@19 316 T1N = W[20];
Chris@19 317 T2a = FNMS(KP923879532, T1X, T1Q);
Chris@19 318 T1Y = FMA(KP923879532, T1X, T1Q);
Chris@19 319 T2d = FMA(KP923879532, T26, T23);
Chris@19 320 T27 = FNMS(KP923879532, T26, T23);
Chris@19 321 T20 = W[21];
Chris@19 322 T1Z = T1N * T1Y;
Chris@19 323 T29 = W[4];
Chris@19 324 T2c = W[5];
Chris@19 325 T28 = T20 * T1Y;
Chris@19 326 Ip[WS(rs, 5)] = FNMS(T20, T27, T1Z);
Chris@19 327 T2b = T29 * T2a;
Chris@19 328 T2e = T2c * T2a;
Chris@19 329 Im[WS(rs, 5)] = FMA(T1N, T27, T28);
Chris@19 330 }
Chris@19 331 }
Chris@19 332 }
Chris@19 333 {
Chris@19 334 E T1y, T1E, T1D, T1z, T1v, T1r, T1u, T1t, T1w;
Chris@19 335 {
Chris@19 336 E TM, T19, T1l, T1o;
Chris@19 337 T1y = FMA(KP707106781, TL, TA);
Chris@19 338 TM = FNMS(KP707106781, TL, TA);
Chris@19 339 Ip[WS(rs, 1)] = FNMS(T2c, T2d, T2b);
Chris@19 340 Im[WS(rs, 1)] = FMA(T29, T2d, T2e);
Chris@19 341 T19 = TX - T18;
Chris@19 342 T1E = T18 + TX;
Chris@19 343 T1D = FMA(KP707106781, T1k, T1h);
Chris@19 344 T1l = FNMS(KP707106781, T1k, T1h);
Chris@19 345 T1o = T1m - T1n;
Chris@19 346 T1z = T1m + T1n;
Chris@19 347 {
Chris@19 348 E Tv, T1s, T1a, T1p, T1c, T1b, T1q;
Chris@19 349 Tv = W[24];
Chris@19 350 T1s = FMA(KP923879532, T19, TM);
Chris@19 351 T1a = FNMS(KP923879532, T19, TM);
Chris@19 352 T1v = FMA(KP923879532, T1o, T1l);
Chris@19 353 T1p = FNMS(KP923879532, T1o, T1l);
Chris@19 354 T1c = W[25];
Chris@19 355 T1b = Tv * T1a;
Chris@19 356 T1r = W[8];
Chris@19 357 T1u = W[9];
Chris@19 358 T1q = T1c * T1a;
Chris@19 359 Ip[WS(rs, 6)] = FNMS(T1c, T1p, T1b);
Chris@19 360 T1t = T1r * T1s;
Chris@19 361 T1w = T1u * T1s;
Chris@19 362 Im[WS(rs, 6)] = FMA(Tv, T1p, T1q);
Chris@19 363 }
Chris@19 364 }
Chris@19 365 {
Chris@19 366 E T2q, T2t, T2s, T2u, T2r;
Chris@19 367 Ip[WS(rs, 2)] = FNMS(T1u, T1v, T1t);
Chris@19 368 Im[WS(rs, 2)] = FMA(T1r, T1v, T1w);
Chris@19 369 {
Chris@19 370 E T2f, T2i, T2n, T2k, T2j, T2p, T2o;
Chris@19 371 T2f = W[12];
Chris@19 372 T2q = FMA(KP923879532, T2h, T2g);
Chris@19 373 T2i = FNMS(KP923879532, T2h, T2g);
Chris@19 374 T2t = FNMS(KP923879532, T2m, T2l);
Chris@19 375 T2n = FMA(KP923879532, T2m, T2l);
Chris@19 376 T2k = W[13];
Chris@19 377 T2j = T2f * T2i;
Chris@19 378 T2p = W[28];
Chris@19 379 T2o = T2f * T2n;
Chris@19 380 T2s = W[29];
Chris@19 381 Ip[WS(rs, 3)] = FNMS(T2k, T2n, T2j);
Chris@19 382 T2u = T2p * T2t;
Chris@19 383 T2r = T2p * T2q;
Chris@19 384 Im[WS(rs, 3)] = FMA(T2k, T2i, T2o);
Chris@19 385 }
Chris@19 386 Im[WS(rs, 7)] = FMA(T2s, T2q, T2u);
Chris@19 387 Ip[WS(rs, 7)] = FNMS(T2s, T2t, T2r);
Chris@19 388 {
Chris@19 389 E T1x, T1A, T1F, T1C, T1B, T1H, T1G;
Chris@19 390 T1x = W[16];
Chris@19 391 T1I = FMA(KP923879532, T1z, T1y);
Chris@19 392 T1A = FNMS(KP923879532, T1z, T1y);
Chris@19 393 T1L = FMA(KP923879532, T1E, T1D);
Chris@19 394 T1F = FNMS(KP923879532, T1E, T1D);
Chris@19 395 T1C = W[17];
Chris@19 396 T1B = T1x * T1A;
Chris@19 397 T1H = W[0];
Chris@19 398 T1G = T1x * T1F;
Chris@19 399 T1K = W[1];
Chris@19 400 Ip[WS(rs, 4)] = FNMS(T1C, T1F, T1B);
Chris@19 401 T1M = T1H * T1L;
Chris@19 402 T1J = T1H * T1I;
Chris@19 403 Im[WS(rs, 4)] = FMA(T1C, T1A, T1G);
Chris@19 404 }
Chris@19 405 }
Chris@19 406 }
Chris@19 407 }
Chris@19 408 }
Chris@19 409 }
Chris@19 410 Im[0] = FMA(T1K, T1I, T1M);
Chris@19 411 Ip[0] = FNMS(T1K, T1L, T1J);
Chris@19 412 }
Chris@19 413 }
Chris@19 414 }
Chris@19 415
Chris@19 416 static const tw_instr twinstr[] = {
Chris@19 417 {TW_FULL, 1, 16},
Chris@19 418 {TW_NEXT, 1, 0}
Chris@19 419 };
Chris@19 420
Chris@19 421 static const hc2c_desc desc = { 16, "hc2cb_16", twinstr, &GENUS, {104, 30, 70, 0} };
Chris@19 422
Chris@19 423 void X(codelet_hc2cb_16) (planner *p) {
Chris@19 424 X(khc2c_register) (p, hc2cb_16, &desc, HC2C_VIA_RDFT);
Chris@19 425 }
Chris@19 426 #else /* HAVE_FMA */
Chris@19 427
Chris@19 428 /* Generated by: ../../../genfft/gen_hc2c.native -compact -variables 4 -pipeline-latency 4 -sign 1 -n 16 -dif -name hc2cb_16 -include hc2cb.h */
Chris@19 429
Chris@19 430 /*
Chris@19 431 * This function contains 174 FP additions, 84 FP multiplications,
Chris@19 432 * (or, 136 additions, 46 multiplications, 38 fused multiply/add),
Chris@19 433 * 50 stack variables, 3 constants, and 64 memory accesses
Chris@19 434 */
Chris@19 435 #include "hc2cb.h"
Chris@19 436
Chris@19 437 static void hc2cb_16(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@19 438 {
Chris@19 439 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
Chris@19 440 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@19 441 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@19 442 {
Chris@19 443 INT m;
Chris@19 444 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@19 445 E T7, T2K, T2W, Tw, T17, T1S, T2k, T1w, Te, TD, T1x, T10, T2n, T2L, T1Z;
Chris@19 446 E T2X, Tm, T1z, TN, T19, T2e, T2p, T2P, T2Z, Tt, T1A, TW, T1a, T27, T2q;
Chris@19 447 E T2S, T30;
Chris@19 448 {
Chris@19 449 E T3, T1Q, T13, T2j, T6, T2i, T16, T1R;
Chris@19 450 {
Chris@19 451 E T1, T2, T11, T12;
Chris@19 452 T1 = Rp[0];
Chris@19 453 T2 = Rm[WS(rs, 7)];
Chris@19 454 T3 = T1 + T2;
Chris@19 455 T1Q = T1 - T2;
Chris@19 456 T11 = Ip[0];
Chris@19 457 T12 = Im[WS(rs, 7)];
Chris@19 458 T13 = T11 - T12;
Chris@19 459 T2j = T11 + T12;
Chris@19 460 }
Chris@19 461 {
Chris@19 462 E T4, T5, T14, T15;
Chris@19 463 T4 = Rp[WS(rs, 4)];
Chris@19 464 T5 = Rm[WS(rs, 3)];
Chris@19 465 T6 = T4 + T5;
Chris@19 466 T2i = T4 - T5;
Chris@19 467 T14 = Ip[WS(rs, 4)];
Chris@19 468 T15 = Im[WS(rs, 3)];
Chris@19 469 T16 = T14 - T15;
Chris@19 470 T1R = T14 + T15;
Chris@19 471 }
Chris@19 472 T7 = T3 + T6;
Chris@19 473 T2K = T1Q + T1R;
Chris@19 474 T2W = T2j - T2i;
Chris@19 475 Tw = T3 - T6;
Chris@19 476 T17 = T13 - T16;
Chris@19 477 T1S = T1Q - T1R;
Chris@19 478 T2k = T2i + T2j;
Chris@19 479 T1w = T13 + T16;
Chris@19 480 }
Chris@19 481 {
Chris@19 482 E Ta, T1T, TC, T1U, Td, T1W, Tz, T1X;
Chris@19 483 {
Chris@19 484 E T8, T9, TA, TB;
Chris@19 485 T8 = Rp[WS(rs, 2)];
Chris@19 486 T9 = Rm[WS(rs, 5)];
Chris@19 487 Ta = T8 + T9;
Chris@19 488 T1T = T8 - T9;
Chris@19 489 TA = Ip[WS(rs, 2)];
Chris@19 490 TB = Im[WS(rs, 5)];
Chris@19 491 TC = TA - TB;
Chris@19 492 T1U = TA + TB;
Chris@19 493 }
Chris@19 494 {
Chris@19 495 E Tb, Tc, Tx, Ty;
Chris@19 496 Tb = Rm[WS(rs, 1)];
Chris@19 497 Tc = Rp[WS(rs, 6)];
Chris@19 498 Td = Tb + Tc;
Chris@19 499 T1W = Tb - Tc;
Chris@19 500 Tx = Ip[WS(rs, 6)];
Chris@19 501 Ty = Im[WS(rs, 1)];
Chris@19 502 Tz = Tx - Ty;
Chris@19 503 T1X = Tx + Ty;
Chris@19 504 }
Chris@19 505 Te = Ta + Td;
Chris@19 506 TD = Tz - TC;
Chris@19 507 T1x = TC + Tz;
Chris@19 508 T10 = Ta - Td;
Chris@19 509 {
Chris@19 510 E T2l, T2m, T1V, T1Y;
Chris@19 511 T2l = T1T + T1U;
Chris@19 512 T2m = T1W + T1X;
Chris@19 513 T2n = KP707106781 * (T2l - T2m);
Chris@19 514 T2L = KP707106781 * (T2l + T2m);
Chris@19 515 T1V = T1T - T1U;
Chris@19 516 T1Y = T1W - T1X;
Chris@19 517 T1Z = KP707106781 * (T1V + T1Y);
Chris@19 518 T2X = KP707106781 * (T1V - T1Y);
Chris@19 519 }
Chris@19 520 }
Chris@19 521 {
Chris@19 522 E Ti, T2b, TI, T29, Tl, T28, TL, T2c, TF, TM;
Chris@19 523 {
Chris@19 524 E Tg, Th, TG, TH;
Chris@19 525 Tg = Rp[WS(rs, 1)];
Chris@19 526 Th = Rm[WS(rs, 6)];
Chris@19 527 Ti = Tg + Th;
Chris@19 528 T2b = Tg - Th;
Chris@19 529 TG = Ip[WS(rs, 1)];
Chris@19 530 TH = Im[WS(rs, 6)];
Chris@19 531 TI = TG - TH;
Chris@19 532 T29 = TG + TH;
Chris@19 533 }
Chris@19 534 {
Chris@19 535 E Tj, Tk, TJ, TK;
Chris@19 536 Tj = Rp[WS(rs, 5)];
Chris@19 537 Tk = Rm[WS(rs, 2)];
Chris@19 538 Tl = Tj + Tk;
Chris@19 539 T28 = Tj - Tk;
Chris@19 540 TJ = Ip[WS(rs, 5)];
Chris@19 541 TK = Im[WS(rs, 2)];
Chris@19 542 TL = TJ - TK;
Chris@19 543 T2c = TJ + TK;
Chris@19 544 }
Chris@19 545 Tm = Ti + Tl;
Chris@19 546 T1z = TI + TL;
Chris@19 547 TF = Ti - Tl;
Chris@19 548 TM = TI - TL;
Chris@19 549 TN = TF - TM;
Chris@19 550 T19 = TF + TM;
Chris@19 551 {
Chris@19 552 E T2a, T2d, T2N, T2O;
Chris@19 553 T2a = T28 + T29;
Chris@19 554 T2d = T2b - T2c;
Chris@19 555 T2e = FMA(KP923879532, T2a, KP382683432 * T2d);
Chris@19 556 T2p = FNMS(KP382683432, T2a, KP923879532 * T2d);
Chris@19 557 T2N = T2b + T2c;
Chris@19 558 T2O = T29 - T28;
Chris@19 559 T2P = FNMS(KP923879532, T2O, KP382683432 * T2N);
Chris@19 560 T2Z = FMA(KP382683432, T2O, KP923879532 * T2N);
Chris@19 561 }
Chris@19 562 }
Chris@19 563 {
Chris@19 564 E Tp, T24, TR, T22, Ts, T21, TU, T25, TO, TV;
Chris@19 565 {
Chris@19 566 E Tn, To, TP, TQ;
Chris@19 567 Tn = Rm[0];
Chris@19 568 To = Rp[WS(rs, 7)];
Chris@19 569 Tp = Tn + To;
Chris@19 570 T24 = Tn - To;
Chris@19 571 TP = Ip[WS(rs, 7)];
Chris@19 572 TQ = Im[0];
Chris@19 573 TR = TP - TQ;
Chris@19 574 T22 = TP + TQ;
Chris@19 575 }
Chris@19 576 {
Chris@19 577 E Tq, Tr, TS, TT;
Chris@19 578 Tq = Rp[WS(rs, 3)];
Chris@19 579 Tr = Rm[WS(rs, 4)];
Chris@19 580 Ts = Tq + Tr;
Chris@19 581 T21 = Tq - Tr;
Chris@19 582 TS = Ip[WS(rs, 3)];
Chris@19 583 TT = Im[WS(rs, 4)];
Chris@19 584 TU = TS - TT;
Chris@19 585 T25 = TS + TT;
Chris@19 586 }
Chris@19 587 Tt = Tp + Ts;
Chris@19 588 T1A = TR + TU;
Chris@19 589 TO = Tp - Ts;
Chris@19 590 TV = TR - TU;
Chris@19 591 TW = TO + TV;
Chris@19 592 T1a = TV - TO;
Chris@19 593 {
Chris@19 594 E T23, T26, T2Q, T2R;
Chris@19 595 T23 = T21 - T22;
Chris@19 596 T26 = T24 - T25;
Chris@19 597 T27 = FNMS(KP382683432, T26, KP923879532 * T23);
Chris@19 598 T2q = FMA(KP382683432, T23, KP923879532 * T26);
Chris@19 599 T2Q = T24 + T25;
Chris@19 600 T2R = T21 + T22;
Chris@19 601 T2S = FNMS(KP923879532, T2R, KP382683432 * T2Q);
Chris@19 602 T30 = FMA(KP382683432, T2R, KP923879532 * T2Q);
Chris@19 603 }
Chris@19 604 }
Chris@19 605 {
Chris@19 606 E Tf, Tu, T1u, T1y, T1B, T1C, T1t, T1v;
Chris@19 607 Tf = T7 + Te;
Chris@19 608 Tu = Tm + Tt;
Chris@19 609 T1u = Tf - Tu;
Chris@19 610 T1y = T1w + T1x;
Chris@19 611 T1B = T1z + T1A;
Chris@19 612 T1C = T1y - T1B;
Chris@19 613 Rp[0] = Tf + Tu;
Chris@19 614 Rm[0] = T1y + T1B;
Chris@19 615 T1t = W[14];
Chris@19 616 T1v = W[15];
Chris@19 617 Rp[WS(rs, 4)] = FNMS(T1v, T1C, T1t * T1u);
Chris@19 618 Rm[WS(rs, 4)] = FMA(T1v, T1u, T1t * T1C);
Chris@19 619 }
Chris@19 620 {
Chris@19 621 E T2U, T34, T32, T36;
Chris@19 622 {
Chris@19 623 E T2M, T2T, T2Y, T31;
Chris@19 624 T2M = T2K - T2L;
Chris@19 625 T2T = T2P + T2S;
Chris@19 626 T2U = T2M - T2T;
Chris@19 627 T34 = T2M + T2T;
Chris@19 628 T2Y = T2W + T2X;
Chris@19 629 T31 = T2Z - T30;
Chris@19 630 T32 = T2Y - T31;
Chris@19 631 T36 = T2Y + T31;
Chris@19 632 }
Chris@19 633 {
Chris@19 634 E T2J, T2V, T33, T35;
Chris@19 635 T2J = W[20];
Chris@19 636 T2V = W[21];
Chris@19 637 Ip[WS(rs, 5)] = FNMS(T2V, T32, T2J * T2U);
Chris@19 638 Im[WS(rs, 5)] = FMA(T2V, T2U, T2J * T32);
Chris@19 639 T33 = W[4];
Chris@19 640 T35 = W[5];
Chris@19 641 Ip[WS(rs, 1)] = FNMS(T35, T36, T33 * T34);
Chris@19 642 Im[WS(rs, 1)] = FMA(T35, T34, T33 * T36);
Chris@19 643 }
Chris@19 644 }
Chris@19 645 {
Chris@19 646 E T3a, T3g, T3e, T3i;
Chris@19 647 {
Chris@19 648 E T38, T39, T3c, T3d;
Chris@19 649 T38 = T2K + T2L;
Chris@19 650 T39 = T2Z + T30;
Chris@19 651 T3a = T38 - T39;
Chris@19 652 T3g = T38 + T39;
Chris@19 653 T3c = T2W - T2X;
Chris@19 654 T3d = T2P - T2S;
Chris@19 655 T3e = T3c + T3d;
Chris@19 656 T3i = T3c - T3d;
Chris@19 657 }
Chris@19 658 {
Chris@19 659 E T37, T3b, T3f, T3h;
Chris@19 660 T37 = W[12];
Chris@19 661 T3b = W[13];
Chris@19 662 Ip[WS(rs, 3)] = FNMS(T3b, T3e, T37 * T3a);
Chris@19 663 Im[WS(rs, 3)] = FMA(T37, T3e, T3b * T3a);
Chris@19 664 T3f = W[28];
Chris@19 665 T3h = W[29];
Chris@19 666 Ip[WS(rs, 7)] = FNMS(T3h, T3i, T3f * T3g);
Chris@19 667 Im[WS(rs, 7)] = FMA(T3f, T3i, T3h * T3g);
Chris@19 668 }
Chris@19 669 }
Chris@19 670 {
Chris@19 671 E TY, T1e, T1c, T1g;
Chris@19 672 {
Chris@19 673 E TE, TX, T18, T1b;
Chris@19 674 TE = Tw + TD;
Chris@19 675 TX = KP707106781 * (TN + TW);
Chris@19 676 TY = TE - TX;
Chris@19 677 T1e = TE + TX;
Chris@19 678 T18 = T10 + T17;
Chris@19 679 T1b = KP707106781 * (T19 + T1a);
Chris@19 680 T1c = T18 - T1b;
Chris@19 681 T1g = T18 + T1b;
Chris@19 682 }
Chris@19 683 {
Chris@19 684 E Tv, TZ, T1d, T1f;
Chris@19 685 Tv = W[18];
Chris@19 686 TZ = W[19];
Chris@19 687 Rp[WS(rs, 5)] = FNMS(TZ, T1c, Tv * TY);
Chris@19 688 Rm[WS(rs, 5)] = FMA(TZ, TY, Tv * T1c);
Chris@19 689 T1d = W[2];
Chris@19 690 T1f = W[3];
Chris@19 691 Rp[WS(rs, 1)] = FNMS(T1f, T1g, T1d * T1e);
Chris@19 692 Rm[WS(rs, 1)] = FMA(T1f, T1e, T1d * T1g);
Chris@19 693 }
Chris@19 694 }
Chris@19 695 {
Chris@19 696 E T1k, T1q, T1o, T1s;
Chris@19 697 {
Chris@19 698 E T1i, T1j, T1m, T1n;
Chris@19 699 T1i = Tw - TD;
Chris@19 700 T1j = KP707106781 * (T1a - T19);
Chris@19 701 T1k = T1i - T1j;
Chris@19 702 T1q = T1i + T1j;
Chris@19 703 T1m = T17 - T10;
Chris@19 704 T1n = KP707106781 * (TN - TW);
Chris@19 705 T1o = T1m - T1n;
Chris@19 706 T1s = T1m + T1n;
Chris@19 707 }
Chris@19 708 {
Chris@19 709 E T1h, T1l, T1p, T1r;
Chris@19 710 T1h = W[26];
Chris@19 711 T1l = W[27];
Chris@19 712 Rp[WS(rs, 7)] = FNMS(T1l, T1o, T1h * T1k);
Chris@19 713 Rm[WS(rs, 7)] = FMA(T1h, T1o, T1l * T1k);
Chris@19 714 T1p = W[10];
Chris@19 715 T1r = W[11];
Chris@19 716 Rp[WS(rs, 3)] = FNMS(T1r, T1s, T1p * T1q);
Chris@19 717 Rm[WS(rs, 3)] = FMA(T1p, T1s, T1r * T1q);
Chris@19 718 }
Chris@19 719 }
Chris@19 720 {
Chris@19 721 E T2g, T2u, T2s, T2w;
Chris@19 722 {
Chris@19 723 E T20, T2f, T2o, T2r;
Chris@19 724 T20 = T1S - T1Z;
Chris@19 725 T2f = T27 - T2e;
Chris@19 726 T2g = T20 - T2f;
Chris@19 727 T2u = T20 + T2f;
Chris@19 728 T2o = T2k - T2n;
Chris@19 729 T2r = T2p - T2q;
Chris@19 730 T2s = T2o - T2r;
Chris@19 731 T2w = T2o + T2r;
Chris@19 732 }
Chris@19 733 {
Chris@19 734 E T1P, T2h, T2t, T2v;
Chris@19 735 T1P = W[24];
Chris@19 736 T2h = W[25];
Chris@19 737 Ip[WS(rs, 6)] = FNMS(T2h, T2s, T1P * T2g);
Chris@19 738 Im[WS(rs, 6)] = FMA(T2h, T2g, T1P * T2s);
Chris@19 739 T2t = W[8];
Chris@19 740 T2v = W[9];
Chris@19 741 Ip[WS(rs, 2)] = FNMS(T2v, T2w, T2t * T2u);
Chris@19 742 Im[WS(rs, 2)] = FMA(T2v, T2u, T2t * T2w);
Chris@19 743 }
Chris@19 744 }
Chris@19 745 {
Chris@19 746 E T2A, T2G, T2E, T2I;
Chris@19 747 {
Chris@19 748 E T2y, T2z, T2C, T2D;
Chris@19 749 T2y = T1S + T1Z;
Chris@19 750 T2z = T2p + T2q;
Chris@19 751 T2A = T2y - T2z;
Chris@19 752 T2G = T2y + T2z;
Chris@19 753 T2C = T2k + T2n;
Chris@19 754 T2D = T2e + T27;
Chris@19 755 T2E = T2C - T2D;
Chris@19 756 T2I = T2C + T2D;
Chris@19 757 }
Chris@19 758 {
Chris@19 759 E T2x, T2B, T2F, T2H;
Chris@19 760 T2x = W[16];
Chris@19 761 T2B = W[17];
Chris@19 762 Ip[WS(rs, 4)] = FNMS(T2B, T2E, T2x * T2A);
Chris@19 763 Im[WS(rs, 4)] = FMA(T2x, T2E, T2B * T2A);
Chris@19 764 T2F = W[0];
Chris@19 765 T2H = W[1];
Chris@19 766 Ip[0] = FNMS(T2H, T2I, T2F * T2G);
Chris@19 767 Im[0] = FMA(T2F, T2I, T2H * T2G);
Chris@19 768 }
Chris@19 769 }
Chris@19 770 {
Chris@19 771 E T1G, T1M, T1K, T1O;
Chris@19 772 {
Chris@19 773 E T1E, T1F, T1I, T1J;
Chris@19 774 T1E = T7 - Te;
Chris@19 775 T1F = T1A - T1z;
Chris@19 776 T1G = T1E - T1F;
Chris@19 777 T1M = T1E + T1F;
Chris@19 778 T1I = T1w - T1x;
Chris@19 779 T1J = Tm - Tt;
Chris@19 780 T1K = T1I - T1J;
Chris@19 781 T1O = T1J + T1I;
Chris@19 782 }
Chris@19 783 {
Chris@19 784 E T1D, T1H, T1L, T1N;
Chris@19 785 T1D = W[22];
Chris@19 786 T1H = W[23];
Chris@19 787 Rp[WS(rs, 6)] = FNMS(T1H, T1K, T1D * T1G);
Chris@19 788 Rm[WS(rs, 6)] = FMA(T1D, T1K, T1H * T1G);
Chris@19 789 T1L = W[6];
Chris@19 790 T1N = W[7];
Chris@19 791 Rp[WS(rs, 2)] = FNMS(T1N, T1O, T1L * T1M);
Chris@19 792 Rm[WS(rs, 2)] = FMA(T1L, T1O, T1N * T1M);
Chris@19 793 }
Chris@19 794 }
Chris@19 795 }
Chris@19 796 }
Chris@19 797 }
Chris@19 798
Chris@19 799 static const tw_instr twinstr[] = {
Chris@19 800 {TW_FULL, 1, 16},
Chris@19 801 {TW_NEXT, 1, 0}
Chris@19 802 };
Chris@19 803
Chris@19 804 static const hc2c_desc desc = { 16, "hc2cb_16", twinstr, &GENUS, {136, 46, 38, 0} };
Chris@19 805
Chris@19 806 void X(codelet_hc2cb_16) (planner *p) {
Chris@19 807 X(khc2c_register) (p, hc2cb_16, &desc, HC2C_VIA_RDFT);
Chris@19 808 }
Chris@19 809 #endif /* HAVE_FMA */