annotate src/fftw-3.3.8/rdft/scalar/r2cf/hf2_16.c @ 169:223a55898ab9 tip default

Add null config files
author Chris Cannam <cannam@all-day-breakfast.com>
date Mon, 02 Mar 2020 14:03:47 +0000
parents bd3cc4d1df30
children
rev   line source
cannam@167 1 /*
cannam@167 2 * Copyright (c) 2003, 2007-14 Matteo Frigo
cannam@167 3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
cannam@167 4 *
cannam@167 5 * This program is free software; you can redistribute it and/or modify
cannam@167 6 * it under the terms of the GNU General Public License as published by
cannam@167 7 * the Free Software Foundation; either version 2 of the License, or
cannam@167 8 * (at your option) any later version.
cannam@167 9 *
cannam@167 10 * This program is distributed in the hope that it will be useful,
cannam@167 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
cannam@167 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
cannam@167 13 * GNU General Public License for more details.
cannam@167 14 *
cannam@167 15 * You should have received a copy of the GNU General Public License
cannam@167 16 * along with this program; if not, write to the Free Software
cannam@167 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
cannam@167 18 *
cannam@167 19 */
cannam@167 20
cannam@167 21 /* This file was automatically generated --- DO NOT EDIT */
cannam@167 22 /* Generated on Thu May 24 08:06:35 EDT 2018 */
cannam@167 23
cannam@167 24 #include "rdft/codelet-rdft.h"
cannam@167 25
cannam@167 26 #if defined(ARCH_PREFERS_FMA) || defined(ISA_EXTENSION_PREFERS_FMA)
cannam@167 27
cannam@167 28 /* Generated by: ../../../genfft/gen_hc2hc.native -fma -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 16 -dit -name hf2_16 -include rdft/scalar/hf.h */
cannam@167 29
cannam@167 30 /*
cannam@167 31 * This function contains 196 FP additions, 134 FP multiplications,
cannam@167 32 * (or, 104 additions, 42 multiplications, 92 fused multiply/add),
cannam@167 33 * 90 stack variables, 3 constants, and 64 memory accesses
cannam@167 34 */
cannam@167 35 #include "rdft/scalar/hf.h"
cannam@167 36
cannam@167 37 static void hf2_16(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
cannam@167 38 {
cannam@167 39 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
cannam@167 40 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
cannam@167 41 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
cannam@167 42 {
cannam@167 43 INT m;
cannam@167 44 for (m = mb, W = W + ((mb - 1) * 8); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 8, MAKE_VOLATILE_STRIDE(32, rs)) {
cannam@167 45 E T2, Tf, TM, TO, T3, T6, T5, Th, Tz, Ti, T7, TZ, TT, Tq, TW;
cannam@167 46 E Tb, Tu, TP, TI, TF, TC, T1z, T1O, T1D, T1L, Tm, T1f, T1p, T1j, T1m;
cannam@167 47 {
cannam@167 48 E TN, TS, T4, Tp, Ta, Tt, Tl, Tg;
cannam@167 49 T2 = W[0];
cannam@167 50 Tf = W[2];
cannam@167 51 Tg = T2 * Tf;
cannam@167 52 TM = W[6];
cannam@167 53 TN = T2 * TM;
cannam@167 54 TO = W[7];
cannam@167 55 TS = T2 * TO;
cannam@167 56 T3 = W[4];
cannam@167 57 T4 = T2 * T3;
cannam@167 58 Tp = Tf * T3;
cannam@167 59 T6 = W[5];
cannam@167 60 Ta = T2 * T6;
cannam@167 61 Tt = Tf * T6;
cannam@167 62 T5 = W[1];
cannam@167 63 Th = W[3];
cannam@167 64 Tl = T2 * Th;
cannam@167 65 Tz = FMA(T5, Th, Tg);
cannam@167 66 Ti = FNMS(T5, Th, Tg);
cannam@167 67 T7 = FMA(T5, T6, T4);
cannam@167 68 TZ = FNMS(Th, T3, Tt);
cannam@167 69 TT = FNMS(T5, TM, TS);
cannam@167 70 Tq = FNMS(Th, T6, Tp);
cannam@167 71 TW = FMA(Th, T6, Tp);
cannam@167 72 Tb = FNMS(T5, T3, Ta);
cannam@167 73 Tu = FMA(Th, T3, Tt);
cannam@167 74 TP = FMA(T5, TO, TN);
cannam@167 75 TI = FMA(T5, T3, Ta);
cannam@167 76 TF = FNMS(T5, T6, T4);
cannam@167 77 {
cannam@167 78 E T1y, T1C, T1e, T1i;
cannam@167 79 T1y = Tz * T3;
cannam@167 80 T1C = Tz * T6;
cannam@167 81 TC = FNMS(T5, Tf, Tl);
cannam@167 82 T1z = FMA(TC, T6, T1y);
cannam@167 83 T1O = FMA(TC, T3, T1C);
cannam@167 84 T1D = FNMS(TC, T3, T1C);
cannam@167 85 T1L = FNMS(TC, T6, T1y);
cannam@167 86 T1e = Ti * T3;
cannam@167 87 T1i = Ti * T6;
cannam@167 88 Tm = FMA(T5, Tf, Tl);
cannam@167 89 T1f = FMA(Tm, T6, T1e);
cannam@167 90 T1p = FMA(Tm, T3, T1i);
cannam@167 91 T1j = FNMS(Tm, T3, T1i);
cannam@167 92 T1m = FNMS(Tm, T6, T1e);
cannam@167 93 }
cannam@167 94 }
cannam@167 95 {
cannam@167 96 E Te, T1U, T3A, T3M, T1G, T2w, T2I, T3h, T1R, T2D, T2B, T3i, Tx, T3L, T1Z;
cannam@167 97 E T3w, TL, T21, T26, T38, T1d, T2h, T2s, T3c, T1s, T2t, T2m, T3d, T12, T28;
cannam@167 98 E T2d, T37;
cannam@167 99 {
cannam@167 100 E T1, T3z, T8, T9, Tc, T3x, Td, T3y;
cannam@167 101 T1 = cr[0];
cannam@167 102 T3z = ci[0];
cannam@167 103 T8 = cr[WS(rs, 8)];
cannam@167 104 T9 = T7 * T8;
cannam@167 105 Tc = ci[WS(rs, 8)];
cannam@167 106 T3x = T7 * Tc;
cannam@167 107 Td = FMA(Tb, Tc, T9);
cannam@167 108 Te = T1 + Td;
cannam@167 109 T1U = T1 - Td;
cannam@167 110 T3y = FNMS(Tb, T8, T3x);
cannam@167 111 T3A = T3y + T3z;
cannam@167 112 T3M = T3z - T3y;
cannam@167 113 }
cannam@167 114 {
cannam@167 115 E T1u, T1v, T1w, T2E, T1A, T1B, T1E, T2G;
cannam@167 116 T1u = cr[WS(rs, 15)];
cannam@167 117 T1v = TM * T1u;
cannam@167 118 T1w = ci[WS(rs, 15)];
cannam@167 119 T2E = TM * T1w;
cannam@167 120 T1A = cr[WS(rs, 7)];
cannam@167 121 T1B = T1z * T1A;
cannam@167 122 T1E = ci[WS(rs, 7)];
cannam@167 123 T2G = T1z * T1E;
cannam@167 124 {
cannam@167 125 E T1x, T1F, T2F, T2H;
cannam@167 126 T1x = FMA(TO, T1w, T1v);
cannam@167 127 T1F = FMA(T1D, T1E, T1B);
cannam@167 128 T1G = T1x + T1F;
cannam@167 129 T2w = T1x - T1F;
cannam@167 130 T2F = FNMS(TO, T1u, T2E);
cannam@167 131 T2H = FNMS(T1D, T1A, T2G);
cannam@167 132 T2I = T2F - T2H;
cannam@167 133 T3h = T2F + T2H;
cannam@167 134 }
cannam@167 135 }
cannam@167 136 {
cannam@167 137 E T1H, T1I, T1J, T2x, T1M, T1N, T1P, T2z;
cannam@167 138 T1H = cr[WS(rs, 3)];
cannam@167 139 T1I = Tf * T1H;
cannam@167 140 T1J = ci[WS(rs, 3)];
cannam@167 141 T2x = Tf * T1J;
cannam@167 142 T1M = cr[WS(rs, 11)];
cannam@167 143 T1N = T1L * T1M;
cannam@167 144 T1P = ci[WS(rs, 11)];
cannam@167 145 T2z = T1L * T1P;
cannam@167 146 {
cannam@167 147 E T1K, T1Q, T2y, T2A;
cannam@167 148 T1K = FMA(Th, T1J, T1I);
cannam@167 149 T1Q = FMA(T1O, T1P, T1N);
cannam@167 150 T1R = T1K + T1Q;
cannam@167 151 T2D = T1Q - T1K;
cannam@167 152 T2y = FNMS(Th, T1H, T2x);
cannam@167 153 T2A = FNMS(T1O, T1M, T2z);
cannam@167 154 T2B = T2y - T2A;
cannam@167 155 T3i = T2y + T2A;
cannam@167 156 }
cannam@167 157 }
cannam@167 158 {
cannam@167 159 E Tj, Tk, Tn, T1V, Tr, Ts, Tv, T1X;
cannam@167 160 Tj = cr[WS(rs, 4)];
cannam@167 161 Tk = Ti * Tj;
cannam@167 162 Tn = ci[WS(rs, 4)];
cannam@167 163 T1V = Ti * Tn;
cannam@167 164 Tr = cr[WS(rs, 12)];
cannam@167 165 Ts = Tq * Tr;
cannam@167 166 Tv = ci[WS(rs, 12)];
cannam@167 167 T1X = Tq * Tv;
cannam@167 168 {
cannam@167 169 E To, Tw, T1W, T1Y;
cannam@167 170 To = FMA(Tm, Tn, Tk);
cannam@167 171 Tw = FMA(Tu, Tv, Ts);
cannam@167 172 Tx = To + Tw;
cannam@167 173 T3L = To - Tw;
cannam@167 174 T1W = FNMS(Tm, Tj, T1V);
cannam@167 175 T1Y = FNMS(Tu, Tr, T1X);
cannam@167 176 T1Z = T1W - T1Y;
cannam@167 177 T3w = T1W + T1Y;
cannam@167 178 }
cannam@167 179 }
cannam@167 180 {
cannam@167 181 E TA, TB, TD, T22, TG, TH, TJ, T24;
cannam@167 182 TA = cr[WS(rs, 2)];
cannam@167 183 TB = Tz * TA;
cannam@167 184 TD = ci[WS(rs, 2)];
cannam@167 185 T22 = Tz * TD;
cannam@167 186 TG = cr[WS(rs, 10)];
cannam@167 187 TH = TF * TG;
cannam@167 188 TJ = ci[WS(rs, 10)];
cannam@167 189 T24 = TF * TJ;
cannam@167 190 {
cannam@167 191 E TE, TK, T23, T25;
cannam@167 192 TE = FMA(TC, TD, TB);
cannam@167 193 TK = FMA(TI, TJ, TH);
cannam@167 194 TL = TE + TK;
cannam@167 195 T21 = TE - TK;
cannam@167 196 T23 = FNMS(TC, TA, T22);
cannam@167 197 T25 = FNMS(TI, TG, T24);
cannam@167 198 T26 = T23 - T25;
cannam@167 199 T38 = T23 + T25;
cannam@167 200 }
cannam@167 201 }
cannam@167 202 {
cannam@167 203 E T15, T16, T17, T2o, T19, T1a, T1b, T2q;
cannam@167 204 T15 = cr[WS(rs, 1)];
cannam@167 205 T16 = T2 * T15;
cannam@167 206 T17 = ci[WS(rs, 1)];
cannam@167 207 T2o = T2 * T17;
cannam@167 208 T19 = cr[WS(rs, 9)];
cannam@167 209 T1a = T3 * T19;
cannam@167 210 T1b = ci[WS(rs, 9)];
cannam@167 211 T2q = T3 * T1b;
cannam@167 212 {
cannam@167 213 E T18, T1c, T2p, T2r;
cannam@167 214 T18 = FMA(T5, T17, T16);
cannam@167 215 T1c = FMA(T6, T1b, T1a);
cannam@167 216 T1d = T18 + T1c;
cannam@167 217 T2h = T18 - T1c;
cannam@167 218 T2p = FNMS(T5, T15, T2o);
cannam@167 219 T2r = FNMS(T6, T19, T2q);
cannam@167 220 T2s = T2p - T2r;
cannam@167 221 T3c = T2p + T2r;
cannam@167 222 }
cannam@167 223 }
cannam@167 224 {
cannam@167 225 E T1g, T1h, T1k, T2i, T1n, T1o, T1q, T2k;
cannam@167 226 T1g = cr[WS(rs, 5)];
cannam@167 227 T1h = T1f * T1g;
cannam@167 228 T1k = ci[WS(rs, 5)];
cannam@167 229 T2i = T1f * T1k;
cannam@167 230 T1n = cr[WS(rs, 13)];
cannam@167 231 T1o = T1m * T1n;
cannam@167 232 T1q = ci[WS(rs, 13)];
cannam@167 233 T2k = T1m * T1q;
cannam@167 234 {
cannam@167 235 E T1l, T1r, T2j, T2l;
cannam@167 236 T1l = FMA(T1j, T1k, T1h);
cannam@167 237 T1r = FMA(T1p, T1q, T1o);
cannam@167 238 T1s = T1l + T1r;
cannam@167 239 T2t = T1l - T1r;
cannam@167 240 T2j = FNMS(T1j, T1g, T2i);
cannam@167 241 T2l = FNMS(T1p, T1n, T2k);
cannam@167 242 T2m = T2j - T2l;
cannam@167 243 T3d = T2j + T2l;
cannam@167 244 }
cannam@167 245 }
cannam@167 246 {
cannam@167 247 E TQ, TR, TU, T29, TX, TY, T10, T2b;
cannam@167 248 TQ = cr[WS(rs, 14)];
cannam@167 249 TR = TP * TQ;
cannam@167 250 TU = ci[WS(rs, 14)];
cannam@167 251 T29 = TP * TU;
cannam@167 252 TX = cr[WS(rs, 6)];
cannam@167 253 TY = TW * TX;
cannam@167 254 T10 = ci[WS(rs, 6)];
cannam@167 255 T2b = TW * T10;
cannam@167 256 {
cannam@167 257 E TV, T11, T2a, T2c;
cannam@167 258 TV = FMA(TT, TU, TR);
cannam@167 259 T11 = FMA(TZ, T10, TY);
cannam@167 260 T12 = TV + T11;
cannam@167 261 T28 = TV - T11;
cannam@167 262 T2a = FNMS(TT, TQ, T29);
cannam@167 263 T2c = FNMS(TZ, TX, T2b);
cannam@167 264 T2d = T2a - T2c;
cannam@167 265 T37 = T2a + T2c;
cannam@167 266 }
cannam@167 267 }
cannam@167 268 {
cannam@167 269 E T14, T3q, T3C, T3E, T1T, T3D, T3t, T3u;
cannam@167 270 {
cannam@167 271 E Ty, T13, T3v, T3B;
cannam@167 272 Ty = Te + Tx;
cannam@167 273 T13 = TL + T12;
cannam@167 274 T14 = Ty + T13;
cannam@167 275 T3q = Ty - T13;
cannam@167 276 T3v = T38 + T37;
cannam@167 277 T3B = T3w + T3A;
cannam@167 278 T3C = T3v + T3B;
cannam@167 279 T3E = T3B - T3v;
cannam@167 280 }
cannam@167 281 {
cannam@167 282 E T1t, T1S, T3r, T3s;
cannam@167 283 T1t = T1d + T1s;
cannam@167 284 T1S = T1G + T1R;
cannam@167 285 T1T = T1t + T1S;
cannam@167 286 T3D = T1S - T1t;
cannam@167 287 T3r = T3h + T3i;
cannam@167 288 T3s = T3c + T3d;
cannam@167 289 T3t = T3r - T3s;
cannam@167 290 T3u = T3s + T3r;
cannam@167 291 }
cannam@167 292 ci[WS(rs, 7)] = T14 - T1T;
cannam@167 293 cr[WS(rs, 12)] = T3D - T3E;
cannam@167 294 ci[WS(rs, 11)] = T3D + T3E;
cannam@167 295 cr[0] = T14 + T1T;
cannam@167 296 cr[WS(rs, 4)] = T3q - T3t;
cannam@167 297 cr[WS(rs, 8)] = T3u - T3C;
cannam@167 298 ci[WS(rs, 15)] = T3u + T3C;
cannam@167 299 ci[WS(rs, 3)] = T3q + T3t;
cannam@167 300 }
cannam@167 301 {
cannam@167 302 E T3a, T3m, T3H, T3J, T3f, T3n, T3k, T3o;
cannam@167 303 {
cannam@167 304 E T36, T39, T3F, T3G;
cannam@167 305 T36 = Te - Tx;
cannam@167 306 T39 = T37 - T38;
cannam@167 307 T3a = T36 - T39;
cannam@167 308 T3m = T36 + T39;
cannam@167 309 T3F = TL - T12;
cannam@167 310 T3G = T3A - T3w;
cannam@167 311 T3H = T3F + T3G;
cannam@167 312 T3J = T3G - T3F;
cannam@167 313 }
cannam@167 314 {
cannam@167 315 E T3b, T3e, T3g, T3j;
cannam@167 316 T3b = T1d - T1s;
cannam@167 317 T3e = T3c - T3d;
cannam@167 318 T3f = T3b + T3e;
cannam@167 319 T3n = T3b - T3e;
cannam@167 320 T3g = T1G - T1R;
cannam@167 321 T3j = T3h - T3i;
cannam@167 322 T3k = T3g - T3j;
cannam@167 323 T3o = T3g + T3j;
cannam@167 324 }
cannam@167 325 {
cannam@167 326 E T3l, T3K, T3p, T3I;
cannam@167 327 T3l = T3f + T3k;
cannam@167 328 ci[WS(rs, 5)] = FNMS(KP707106781, T3l, T3a);
cannam@167 329 cr[WS(rs, 2)] = FMA(KP707106781, T3l, T3a);
cannam@167 330 T3K = T3o - T3n;
cannam@167 331 cr[WS(rs, 10)] = FMS(KP707106781, T3K, T3J);
cannam@167 332 ci[WS(rs, 13)] = FMA(KP707106781, T3K, T3J);
cannam@167 333 T3p = T3n + T3o;
cannam@167 334 cr[WS(rs, 6)] = FNMS(KP707106781, T3p, T3m);
cannam@167 335 ci[WS(rs, 1)] = FMA(KP707106781, T3p, T3m);
cannam@167 336 T3I = T3k - T3f;
cannam@167 337 cr[WS(rs, 14)] = FMS(KP707106781, T3I, T3H);
cannam@167 338 ci[WS(rs, 9)] = FMA(KP707106781, T3I, T3H);
cannam@167 339 }
cannam@167 340 }
cannam@167 341 {
cannam@167 342 E T20, T3N, T3T, T2Q, T2f, T3U, T30, T33, T2T, T3O, T2v, T2N, T2X, T34, T2K;
cannam@167 343 E T2O;
cannam@167 344 {
cannam@167 345 E T27, T2e, T2n, T2u;
cannam@167 346 T20 = T1U - T1Z;
cannam@167 347 T3N = T3L + T3M;
cannam@167 348 T3T = T3M - T3L;
cannam@167 349 T2Q = T1U + T1Z;
cannam@167 350 T27 = T21 - T26;
cannam@167 351 T2e = T28 + T2d;
cannam@167 352 T2f = T27 + T2e;
cannam@167 353 T3U = T2e - T27;
cannam@167 354 {
cannam@167 355 E T2Y, T2Z, T2R, T2S;
cannam@167 356 T2Y = T2w + T2B;
cannam@167 357 T2Z = T2I + T2D;
cannam@167 358 T30 = FNMS(KP414213562, T2Z, T2Y);
cannam@167 359 T33 = FMA(KP414213562, T2Y, T2Z);
cannam@167 360 T2R = T21 + T26;
cannam@167 361 T2S = T28 - T2d;
cannam@167 362 T2T = T2R + T2S;
cannam@167 363 T3O = T2R - T2S;
cannam@167 364 }
cannam@167 365 T2n = T2h - T2m;
cannam@167 366 T2u = T2s + T2t;
cannam@167 367 T2v = FNMS(KP414213562, T2u, T2n);
cannam@167 368 T2N = FMA(KP414213562, T2n, T2u);
cannam@167 369 {
cannam@167 370 E T2V, T2W, T2C, T2J;
cannam@167 371 T2V = T2h + T2m;
cannam@167 372 T2W = T2s - T2t;
cannam@167 373 T2X = FMA(KP414213562, T2W, T2V);
cannam@167 374 T34 = FNMS(KP414213562, T2V, T2W);
cannam@167 375 T2C = T2w - T2B;
cannam@167 376 T2J = T2D - T2I;
cannam@167 377 T2K = FNMS(KP414213562, T2J, T2C);
cannam@167 378 T2O = FMA(KP414213562, T2C, T2J);
cannam@167 379 }
cannam@167 380 }
cannam@167 381 {
cannam@167 382 E T2g, T2L, T3V, T3W;
cannam@167 383 T2g = FMA(KP707106781, T2f, T20);
cannam@167 384 T2L = T2v + T2K;
cannam@167 385 cr[WS(rs, 7)] = FNMS(KP923879532, T2L, T2g);
cannam@167 386 ci[0] = FMA(KP923879532, T2L, T2g);
cannam@167 387 T3V = FMA(KP707106781, T3U, T3T);
cannam@167 388 T3W = T34 + T33;
cannam@167 389 cr[WS(rs, 9)] = FMS(KP923879532, T3W, T3V);
cannam@167 390 ci[WS(rs, 14)] = FMA(KP923879532, T3W, T3V);
cannam@167 391 }
cannam@167 392 {
cannam@167 393 E T3X, T3Y, T2M, T2P;
cannam@167 394 T3X = FNMS(KP707106781, T3U, T3T);
cannam@167 395 T3Y = T30 - T2X;
cannam@167 396 cr[WS(rs, 13)] = FMS(KP923879532, T3Y, T3X);
cannam@167 397 ci[WS(rs, 10)] = FMA(KP923879532, T3Y, T3X);
cannam@167 398 T2M = FNMS(KP707106781, T2f, T20);
cannam@167 399 T2P = T2N + T2O;
cannam@167 400 ci[WS(rs, 4)] = FNMS(KP923879532, T2P, T2M);
cannam@167 401 cr[WS(rs, 3)] = FMA(KP923879532, T2P, T2M);
cannam@167 402 }
cannam@167 403 {
cannam@167 404 E T2U, T31, T3P, T3Q;
cannam@167 405 T2U = FMA(KP707106781, T2T, T2Q);
cannam@167 406 T31 = T2X + T30;
cannam@167 407 ci[WS(rs, 6)] = FNMS(KP923879532, T31, T2U);
cannam@167 408 cr[WS(rs, 1)] = FMA(KP923879532, T31, T2U);
cannam@167 409 T3P = FMA(KP707106781, T3O, T3N);
cannam@167 410 T3Q = T2O - T2N;
cannam@167 411 cr[WS(rs, 15)] = FMS(KP923879532, T3Q, T3P);
cannam@167 412 ci[WS(rs, 8)] = FMA(KP923879532, T3Q, T3P);
cannam@167 413 }
cannam@167 414 {
cannam@167 415 E T3R, T3S, T32, T35;
cannam@167 416 T3R = FNMS(KP707106781, T3O, T3N);
cannam@167 417 T3S = T2K - T2v;
cannam@167 418 cr[WS(rs, 11)] = FMS(KP923879532, T3S, T3R);
cannam@167 419 ci[WS(rs, 12)] = FMA(KP923879532, T3S, T3R);
cannam@167 420 T32 = FNMS(KP707106781, T2T, T2Q);
cannam@167 421 T35 = T33 - T34;
cannam@167 422 cr[WS(rs, 5)] = FNMS(KP923879532, T35, T32);
cannam@167 423 ci[WS(rs, 2)] = FMA(KP923879532, T35, T32);
cannam@167 424 }
cannam@167 425 }
cannam@167 426 }
cannam@167 427 }
cannam@167 428 }
cannam@167 429 }
cannam@167 430
cannam@167 431 static const tw_instr twinstr[] = {
cannam@167 432 {TW_CEXP, 1, 1},
cannam@167 433 {TW_CEXP, 1, 3},
cannam@167 434 {TW_CEXP, 1, 9},
cannam@167 435 {TW_CEXP, 1, 15},
cannam@167 436 {TW_NEXT, 1, 0}
cannam@167 437 };
cannam@167 438
cannam@167 439 static const hc2hc_desc desc = { 16, "hf2_16", twinstr, &GENUS, {104, 42, 92, 0} };
cannam@167 440
cannam@167 441 void X(codelet_hf2_16) (planner *p) {
cannam@167 442 X(khc2hc_register) (p, hf2_16, &desc);
cannam@167 443 }
cannam@167 444 #else
cannam@167 445
cannam@167 446 /* Generated by: ../../../genfft/gen_hc2hc.native -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 16 -dit -name hf2_16 -include rdft/scalar/hf.h */
cannam@167 447
cannam@167 448 /*
cannam@167 449 * This function contains 196 FP additions, 108 FP multiplications,
cannam@167 450 * (or, 156 additions, 68 multiplications, 40 fused multiply/add),
cannam@167 451 * 82 stack variables, 3 constants, and 64 memory accesses
cannam@167 452 */
cannam@167 453 #include "rdft/scalar/hf.h"
cannam@167 454
cannam@167 455 static void hf2_16(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
cannam@167 456 {
cannam@167 457 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
cannam@167 458 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
cannam@167 459 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
cannam@167 460 {
cannam@167 461 INT m;
cannam@167 462 for (m = mb, W = W + ((mb - 1) * 8); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 8, MAKE_VOLATILE_STRIDE(32, rs)) {
cannam@167 463 E T2, T5, Tg, Ti, Tk, To, TE, TC, T6, T3, T8, TW, TJ, Tt, TU;
cannam@167 464 E Tc, Tx, TH, TN, TO, TP, TR, T1f, T1k, T1b, T1i, T1y, T1H, T1u, T1F;
cannam@167 465 {
cannam@167 466 E T7, Tv, Ta, Ts, T4, Tw, Tb, Tr;
cannam@167 467 {
cannam@167 468 E Th, Tn, Tj, Tm;
cannam@167 469 T2 = W[0];
cannam@167 470 T5 = W[1];
cannam@167 471 Tg = W[2];
cannam@167 472 Ti = W[3];
cannam@167 473 Th = T2 * Tg;
cannam@167 474 Tn = T5 * Tg;
cannam@167 475 Tj = T5 * Ti;
cannam@167 476 Tm = T2 * Ti;
cannam@167 477 Tk = Th - Tj;
cannam@167 478 To = Tm + Tn;
cannam@167 479 TE = Tm - Tn;
cannam@167 480 TC = Th + Tj;
cannam@167 481 T6 = W[5];
cannam@167 482 T7 = T5 * T6;
cannam@167 483 Tv = Tg * T6;
cannam@167 484 Ta = T2 * T6;
cannam@167 485 Ts = Ti * T6;
cannam@167 486 T3 = W[4];
cannam@167 487 T4 = T2 * T3;
cannam@167 488 Tw = Ti * T3;
cannam@167 489 Tb = T5 * T3;
cannam@167 490 Tr = Tg * T3;
cannam@167 491 }
cannam@167 492 T8 = T4 + T7;
cannam@167 493 TW = Tv - Tw;
cannam@167 494 TJ = Ta + Tb;
cannam@167 495 Tt = Tr - Ts;
cannam@167 496 TU = Tr + Ts;
cannam@167 497 Tc = Ta - Tb;
cannam@167 498 Tx = Tv + Tw;
cannam@167 499 TH = T4 - T7;
cannam@167 500 TN = W[6];
cannam@167 501 TO = W[7];
cannam@167 502 TP = FMA(T2, TN, T5 * TO);
cannam@167 503 TR = FNMS(T5, TN, T2 * TO);
cannam@167 504 {
cannam@167 505 E T1d, T1e, T19, T1a;
cannam@167 506 T1d = Tk * T6;
cannam@167 507 T1e = To * T3;
cannam@167 508 T1f = T1d - T1e;
cannam@167 509 T1k = T1d + T1e;
cannam@167 510 T19 = Tk * T3;
cannam@167 511 T1a = To * T6;
cannam@167 512 T1b = T19 + T1a;
cannam@167 513 T1i = T19 - T1a;
cannam@167 514 }
cannam@167 515 {
cannam@167 516 E T1w, T1x, T1s, T1t;
cannam@167 517 T1w = TC * T6;
cannam@167 518 T1x = TE * T3;
cannam@167 519 T1y = T1w - T1x;
cannam@167 520 T1H = T1w + T1x;
cannam@167 521 T1s = TC * T3;
cannam@167 522 T1t = TE * T6;
cannam@167 523 T1u = T1s + T1t;
cannam@167 524 T1F = T1s - T1t;
cannam@167 525 }
cannam@167 526 }
cannam@167 527 {
cannam@167 528 E Tf, T3s, T1N, T3e, TA, T3r, T1Q, T3b, TM, T2N, T1W, T2w, TZ, T2M, T21;
cannam@167 529 E T2x, T1B, T1K, T2V, T2W, T2X, T2Y, T2j, T2E, T2o, T2D, T18, T1n, T2Q, T2R;
cannam@167 530 E T2S, T2T, T28, T2B, T2d, T2A;
cannam@167 531 {
cannam@167 532 E T1, T3d, Te, T3c, T9, Td;
cannam@167 533 T1 = cr[0];
cannam@167 534 T3d = ci[0];
cannam@167 535 T9 = cr[WS(rs, 8)];
cannam@167 536 Td = ci[WS(rs, 8)];
cannam@167 537 Te = FMA(T8, T9, Tc * Td);
cannam@167 538 T3c = FNMS(Tc, T9, T8 * Td);
cannam@167 539 Tf = T1 + Te;
cannam@167 540 T3s = T3d - T3c;
cannam@167 541 T1N = T1 - Te;
cannam@167 542 T3e = T3c + T3d;
cannam@167 543 }
cannam@167 544 {
cannam@167 545 E Tq, T1O, Tz, T1P;
cannam@167 546 {
cannam@167 547 E Tl, Tp, Tu, Ty;
cannam@167 548 Tl = cr[WS(rs, 4)];
cannam@167 549 Tp = ci[WS(rs, 4)];
cannam@167 550 Tq = FMA(Tk, Tl, To * Tp);
cannam@167 551 T1O = FNMS(To, Tl, Tk * Tp);
cannam@167 552 Tu = cr[WS(rs, 12)];
cannam@167 553 Ty = ci[WS(rs, 12)];
cannam@167 554 Tz = FMA(Tt, Tu, Tx * Ty);
cannam@167 555 T1P = FNMS(Tx, Tu, Tt * Ty);
cannam@167 556 }
cannam@167 557 TA = Tq + Tz;
cannam@167 558 T3r = Tq - Tz;
cannam@167 559 T1Q = T1O - T1P;
cannam@167 560 T3b = T1O + T1P;
cannam@167 561 }
cannam@167 562 {
cannam@167 563 E TG, T1T, TL, T1U, T1S, T1V;
cannam@167 564 {
cannam@167 565 E TD, TF, TI, TK;
cannam@167 566 TD = cr[WS(rs, 2)];
cannam@167 567 TF = ci[WS(rs, 2)];
cannam@167 568 TG = FMA(TC, TD, TE * TF);
cannam@167 569 T1T = FNMS(TE, TD, TC * TF);
cannam@167 570 TI = cr[WS(rs, 10)];
cannam@167 571 TK = ci[WS(rs, 10)];
cannam@167 572 TL = FMA(TH, TI, TJ * TK);
cannam@167 573 T1U = FNMS(TJ, TI, TH * TK);
cannam@167 574 }
cannam@167 575 TM = TG + TL;
cannam@167 576 T2N = T1T + T1U;
cannam@167 577 T1S = TG - TL;
cannam@167 578 T1V = T1T - T1U;
cannam@167 579 T1W = T1S - T1V;
cannam@167 580 T2w = T1S + T1V;
cannam@167 581 }
cannam@167 582 {
cannam@167 583 E TT, T1Y, TY, T1Z, T1X, T20;
cannam@167 584 {
cannam@167 585 E TQ, TS, TV, TX;
cannam@167 586 TQ = cr[WS(rs, 14)];
cannam@167 587 TS = ci[WS(rs, 14)];
cannam@167 588 TT = FMA(TP, TQ, TR * TS);
cannam@167 589 T1Y = FNMS(TR, TQ, TP * TS);
cannam@167 590 TV = cr[WS(rs, 6)];
cannam@167 591 TX = ci[WS(rs, 6)];
cannam@167 592 TY = FMA(TU, TV, TW * TX);
cannam@167 593 T1Z = FNMS(TW, TV, TU * TX);
cannam@167 594 }
cannam@167 595 TZ = TT + TY;
cannam@167 596 T2M = T1Y + T1Z;
cannam@167 597 T1X = TT - TY;
cannam@167 598 T20 = T1Y - T1Z;
cannam@167 599 T21 = T1X + T20;
cannam@167 600 T2x = T1X - T20;
cannam@167 601 }
cannam@167 602 {
cannam@167 603 E T1r, T2f, T1J, T2m, T1A, T2g, T1E, T2l;
cannam@167 604 {
cannam@167 605 E T1p, T1q, T1G, T1I;
cannam@167 606 T1p = cr[WS(rs, 15)];
cannam@167 607 T1q = ci[WS(rs, 15)];
cannam@167 608 T1r = FMA(TN, T1p, TO * T1q);
cannam@167 609 T2f = FNMS(TO, T1p, TN * T1q);
cannam@167 610 T1G = cr[WS(rs, 11)];
cannam@167 611 T1I = ci[WS(rs, 11)];
cannam@167 612 T1J = FMA(T1F, T1G, T1H * T1I);
cannam@167 613 T2m = FNMS(T1H, T1G, T1F * T1I);
cannam@167 614 }
cannam@167 615 {
cannam@167 616 E T1v, T1z, T1C, T1D;
cannam@167 617 T1v = cr[WS(rs, 7)];
cannam@167 618 T1z = ci[WS(rs, 7)];
cannam@167 619 T1A = FMA(T1u, T1v, T1y * T1z);
cannam@167 620 T2g = FNMS(T1y, T1v, T1u * T1z);
cannam@167 621 T1C = cr[WS(rs, 3)];
cannam@167 622 T1D = ci[WS(rs, 3)];
cannam@167 623 T1E = FMA(Tg, T1C, Ti * T1D);
cannam@167 624 T2l = FNMS(Ti, T1C, Tg * T1D);
cannam@167 625 }
cannam@167 626 T1B = T1r + T1A;
cannam@167 627 T1K = T1E + T1J;
cannam@167 628 T2V = T1B - T1K;
cannam@167 629 T2W = T2f + T2g;
cannam@167 630 T2X = T2l + T2m;
cannam@167 631 T2Y = T2W - T2X;
cannam@167 632 {
cannam@167 633 E T2h, T2i, T2k, T2n;
cannam@167 634 T2h = T2f - T2g;
cannam@167 635 T2i = T1E - T1J;
cannam@167 636 T2j = T2h + T2i;
cannam@167 637 T2E = T2h - T2i;
cannam@167 638 T2k = T1r - T1A;
cannam@167 639 T2n = T2l - T2m;
cannam@167 640 T2o = T2k - T2n;
cannam@167 641 T2D = T2k + T2n;
cannam@167 642 }
cannam@167 643 }
cannam@167 644 {
cannam@167 645 E T14, T29, T1m, T26, T17, T2a, T1h, T25;
cannam@167 646 {
cannam@167 647 E T12, T13, T1j, T1l;
cannam@167 648 T12 = cr[WS(rs, 1)];
cannam@167 649 T13 = ci[WS(rs, 1)];
cannam@167 650 T14 = FMA(T2, T12, T5 * T13);
cannam@167 651 T29 = FNMS(T5, T12, T2 * T13);
cannam@167 652 T1j = cr[WS(rs, 13)];
cannam@167 653 T1l = ci[WS(rs, 13)];
cannam@167 654 T1m = FMA(T1i, T1j, T1k * T1l);
cannam@167 655 T26 = FNMS(T1k, T1j, T1i * T1l);
cannam@167 656 }
cannam@167 657 {
cannam@167 658 E T15, T16, T1c, T1g;
cannam@167 659 T15 = cr[WS(rs, 9)];
cannam@167 660 T16 = ci[WS(rs, 9)];
cannam@167 661 T17 = FMA(T3, T15, T6 * T16);
cannam@167 662 T2a = FNMS(T6, T15, T3 * T16);
cannam@167 663 T1c = cr[WS(rs, 5)];
cannam@167 664 T1g = ci[WS(rs, 5)];
cannam@167 665 T1h = FMA(T1b, T1c, T1f * T1g);
cannam@167 666 T25 = FNMS(T1f, T1c, T1b * T1g);
cannam@167 667 }
cannam@167 668 T18 = T14 + T17;
cannam@167 669 T1n = T1h + T1m;
cannam@167 670 T2Q = T18 - T1n;
cannam@167 671 T2R = T29 + T2a;
cannam@167 672 T2S = T25 + T26;
cannam@167 673 T2T = T2R - T2S;
cannam@167 674 {
cannam@167 675 E T24, T27, T2b, T2c;
cannam@167 676 T24 = T14 - T17;
cannam@167 677 T27 = T25 - T26;
cannam@167 678 T28 = T24 - T27;
cannam@167 679 T2B = T24 + T27;
cannam@167 680 T2b = T29 - T2a;
cannam@167 681 T2c = T1h - T1m;
cannam@167 682 T2d = T2b + T2c;
cannam@167 683 T2A = T2b - T2c;
cannam@167 684 }
cannam@167 685 }
cannam@167 686 {
cannam@167 687 E T23, T2r, T3u, T3w, T2q, T3v, T2u, T3p;
cannam@167 688 {
cannam@167 689 E T1R, T22, T3q, T3t;
cannam@167 690 T1R = T1N - T1Q;
cannam@167 691 T22 = KP707106781 * (T1W + T21);
cannam@167 692 T23 = T1R + T22;
cannam@167 693 T2r = T1R - T22;
cannam@167 694 T3q = KP707106781 * (T2w - T2x);
cannam@167 695 T3t = T3r + T3s;
cannam@167 696 T3u = T3q + T3t;
cannam@167 697 T3w = T3t - T3q;
cannam@167 698 }
cannam@167 699 {
cannam@167 700 E T2e, T2p, T2s, T2t;
cannam@167 701 T2e = FNMS(KP382683432, T2d, KP923879532 * T28);
cannam@167 702 T2p = FMA(KP382683432, T2j, KP923879532 * T2o);
cannam@167 703 T2q = T2e + T2p;
cannam@167 704 T3v = T2p - T2e;
cannam@167 705 T2s = FMA(KP923879532, T2d, KP382683432 * T28);
cannam@167 706 T2t = FNMS(KP923879532, T2j, KP382683432 * T2o);
cannam@167 707 T2u = T2s + T2t;
cannam@167 708 T3p = T2t - T2s;
cannam@167 709 }
cannam@167 710 cr[WS(rs, 7)] = T23 - T2q;
cannam@167 711 cr[WS(rs, 11)] = T3v - T3w;
cannam@167 712 ci[WS(rs, 12)] = T3v + T3w;
cannam@167 713 ci[0] = T23 + T2q;
cannam@167 714 ci[WS(rs, 4)] = T2r - T2u;
cannam@167 715 cr[WS(rs, 15)] = T3p - T3u;
cannam@167 716 ci[WS(rs, 8)] = T3p + T3u;
cannam@167 717 cr[WS(rs, 3)] = T2r + T2u;
cannam@167 718 }
cannam@167 719 {
cannam@167 720 E T11, T35, T3g, T3i, T1M, T3h, T38, T39;
cannam@167 721 {
cannam@167 722 E TB, T10, T3a, T3f;
cannam@167 723 TB = Tf + TA;
cannam@167 724 T10 = TM + TZ;
cannam@167 725 T11 = TB + T10;
cannam@167 726 T35 = TB - T10;
cannam@167 727 T3a = T2N + T2M;
cannam@167 728 T3f = T3b + T3e;
cannam@167 729 T3g = T3a + T3f;
cannam@167 730 T3i = T3f - T3a;
cannam@167 731 }
cannam@167 732 {
cannam@167 733 E T1o, T1L, T36, T37;
cannam@167 734 T1o = T18 + T1n;
cannam@167 735 T1L = T1B + T1K;
cannam@167 736 T1M = T1o + T1L;
cannam@167 737 T3h = T1L - T1o;
cannam@167 738 T36 = T2W + T2X;
cannam@167 739 T37 = T2R + T2S;
cannam@167 740 T38 = T36 - T37;
cannam@167 741 T39 = T37 + T36;
cannam@167 742 }
cannam@167 743 ci[WS(rs, 7)] = T11 - T1M;
cannam@167 744 cr[WS(rs, 12)] = T3h - T3i;
cannam@167 745 ci[WS(rs, 11)] = T3h + T3i;
cannam@167 746 cr[0] = T11 + T1M;
cannam@167 747 cr[WS(rs, 4)] = T35 - T38;
cannam@167 748 cr[WS(rs, 8)] = T39 - T3g;
cannam@167 749 ci[WS(rs, 15)] = T39 + T3g;
cannam@167 750 ci[WS(rs, 3)] = T35 + T38;
cannam@167 751 }
cannam@167 752 {
cannam@167 753 E T2z, T2H, T3A, T3C, T2G, T3B, T2K, T3x;
cannam@167 754 {
cannam@167 755 E T2v, T2y, T3y, T3z;
cannam@167 756 T2v = T1N + T1Q;
cannam@167 757 T2y = KP707106781 * (T2w + T2x);
cannam@167 758 T2z = T2v + T2y;
cannam@167 759 T2H = T2v - T2y;
cannam@167 760 T3y = KP707106781 * (T21 - T1W);
cannam@167 761 T3z = T3s - T3r;
cannam@167 762 T3A = T3y + T3z;
cannam@167 763 T3C = T3z - T3y;
cannam@167 764 }
cannam@167 765 {
cannam@167 766 E T2C, T2F, T2I, T2J;
cannam@167 767 T2C = FMA(KP382683432, T2A, KP923879532 * T2B);
cannam@167 768 T2F = FNMS(KP382683432, T2E, KP923879532 * T2D);
cannam@167 769 T2G = T2C + T2F;
cannam@167 770 T3B = T2F - T2C;
cannam@167 771 T2I = FNMS(KP923879532, T2A, KP382683432 * T2B);
cannam@167 772 T2J = FMA(KP923879532, T2E, KP382683432 * T2D);
cannam@167 773 T2K = T2I + T2J;
cannam@167 774 T3x = T2J - T2I;
cannam@167 775 }
cannam@167 776 ci[WS(rs, 6)] = T2z - T2G;
cannam@167 777 cr[WS(rs, 13)] = T3B - T3C;
cannam@167 778 ci[WS(rs, 10)] = T3B + T3C;
cannam@167 779 cr[WS(rs, 1)] = T2z + T2G;
cannam@167 780 cr[WS(rs, 5)] = T2H - T2K;
cannam@167 781 cr[WS(rs, 9)] = T3x - T3A;
cannam@167 782 ci[WS(rs, 14)] = T3x + T3A;
cannam@167 783 ci[WS(rs, 2)] = T2H + T2K;
cannam@167 784 }
cannam@167 785 {
cannam@167 786 E T2P, T31, T3m, T3o, T30, T3j, T34, T3n;
cannam@167 787 {
cannam@167 788 E T2L, T2O, T3k, T3l;
cannam@167 789 T2L = Tf - TA;
cannam@167 790 T2O = T2M - T2N;
cannam@167 791 T2P = T2L - T2O;
cannam@167 792 T31 = T2L + T2O;
cannam@167 793 T3k = TM - TZ;
cannam@167 794 T3l = T3e - T3b;
cannam@167 795 T3m = T3k + T3l;
cannam@167 796 T3o = T3l - T3k;
cannam@167 797 }
cannam@167 798 {
cannam@167 799 E T2U, T2Z, T32, T33;
cannam@167 800 T2U = T2Q + T2T;
cannam@167 801 T2Z = T2V - T2Y;
cannam@167 802 T30 = KP707106781 * (T2U + T2Z);
cannam@167 803 T3j = KP707106781 * (T2Z - T2U);
cannam@167 804 T32 = T2Q - T2T;
cannam@167 805 T33 = T2V + T2Y;
cannam@167 806 T34 = KP707106781 * (T32 + T33);
cannam@167 807 T3n = KP707106781 * (T33 - T32);
cannam@167 808 }
cannam@167 809 ci[WS(rs, 5)] = T2P - T30;
cannam@167 810 cr[WS(rs, 10)] = T3n - T3o;
cannam@167 811 ci[WS(rs, 13)] = T3n + T3o;
cannam@167 812 cr[WS(rs, 2)] = T2P + T30;
cannam@167 813 cr[WS(rs, 6)] = T31 - T34;
cannam@167 814 cr[WS(rs, 14)] = T3j - T3m;
cannam@167 815 ci[WS(rs, 9)] = T3j + T3m;
cannam@167 816 ci[WS(rs, 1)] = T31 + T34;
cannam@167 817 }
cannam@167 818 }
cannam@167 819 }
cannam@167 820 }
cannam@167 821 }
cannam@167 822
cannam@167 823 static const tw_instr twinstr[] = {
cannam@167 824 {TW_CEXP, 1, 1},
cannam@167 825 {TW_CEXP, 1, 3},
cannam@167 826 {TW_CEXP, 1, 9},
cannam@167 827 {TW_CEXP, 1, 15},
cannam@167 828 {TW_NEXT, 1, 0}
cannam@167 829 };
cannam@167 830
cannam@167 831 static const hc2hc_desc desc = { 16, "hf2_16", twinstr, &GENUS, {156, 68, 40, 0} };
cannam@167 832
cannam@167 833 void X(codelet_hf2_16) (planner *p) {
cannam@167 834 X(khc2hc_register) (p, hf2_16, &desc);
cannam@167 835 }
cannam@167 836 #endif