annotate src/fftw-3.3.8/rdft/scalar/r2cb/hb_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 08:07:32 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 -sign 1 -n 16 -dif -name hb_16 -include rdft/scalar/hb.h */
cannam@167 29
cannam@167 30 /*
cannam@167 31 * This function contains 174 FP additions, 100 FP multiplications,
cannam@167 32 * (or, 104 additions, 30 multiplications, 70 fused multiply/add),
cannam@167 33 * 63 stack variables, 3 constants, and 64 memory accesses
cannam@167 34 */
cannam@167 35 #include "rdft/scalar/hb.h"
cannam@167 36
cannam@167 37 static void hb_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(KP707106781, +0.707106781186547524400844362104849039284835938);
cannam@167 41 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
cannam@167 42 {
cannam@167 43 INT m;
cannam@167 44 for (m = mb, W = W + ((mb - 1) * 30); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 30, MAKE_VOLATILE_STRIDE(32, rs)) {
cannam@167 45 E TA, T1O, T21, T1h, T2P, T2S, T3b, T3p, T3q, T3D, T1k, T1P, Tf, T3y, T2A;
cannam@167 46 E T36, TL, T22, T3s, T3t, T3z, T2F, T2U, T2K, T2V, Tu, T3E, TX, T1n, T1T;
cannam@167 47 E T24, T1W, T25, T18, T1m;
cannam@167 48 {
cannam@167 49 E T3, Tw, TJ, T2x, T1g, T2Q, T6, T1d, Ta, TB, Tz, T2R, TE, T2y, Td;
cannam@167 50 E TG;
cannam@167 51 {
cannam@167 52 E T1, T2, TH, TI;
cannam@167 53 T1 = cr[0];
cannam@167 54 T2 = ci[WS(rs, 7)];
cannam@167 55 T3 = T1 + T2;
cannam@167 56 Tw = T1 - T2;
cannam@167 57 TH = ci[WS(rs, 9)];
cannam@167 58 TI = cr[WS(rs, 14)];
cannam@167 59 TJ = TH + TI;
cannam@167 60 T2x = TH - TI;
cannam@167 61 }
cannam@167 62 {
cannam@167 63 E T1e, T1f, T4, T5;
cannam@167 64 T1e = ci[WS(rs, 15)];
cannam@167 65 T1f = cr[WS(rs, 8)];
cannam@167 66 T1g = T1e + T1f;
cannam@167 67 T2Q = T1e - T1f;
cannam@167 68 T4 = cr[WS(rs, 4)];
cannam@167 69 T5 = ci[WS(rs, 3)];
cannam@167 70 T6 = T4 + T5;
cannam@167 71 T1d = T4 - T5;
cannam@167 72 }
cannam@167 73 {
cannam@167 74 E T8, T9, Tx, Ty;
cannam@167 75 T8 = cr[WS(rs, 2)];
cannam@167 76 T9 = ci[WS(rs, 5)];
cannam@167 77 Ta = T8 + T9;
cannam@167 78 TB = T8 - T9;
cannam@167 79 Tx = ci[WS(rs, 11)];
cannam@167 80 Ty = cr[WS(rs, 12)];
cannam@167 81 Tz = Tx + Ty;
cannam@167 82 T2R = Tx - Ty;
cannam@167 83 }
cannam@167 84 {
cannam@167 85 E TC, TD, Tb, Tc;
cannam@167 86 TC = ci[WS(rs, 13)];
cannam@167 87 TD = cr[WS(rs, 10)];
cannam@167 88 TE = TC + TD;
cannam@167 89 T2y = TC - TD;
cannam@167 90 Tb = ci[WS(rs, 1)];
cannam@167 91 Tc = cr[WS(rs, 6)];
cannam@167 92 Td = Tb + Tc;
cannam@167 93 TG = Tb - Tc;
cannam@167 94 }
cannam@167 95 TA = Tw - Tz;
cannam@167 96 T1O = Tw + Tz;
cannam@167 97 T21 = T1g - T1d;
cannam@167 98 T1h = T1d + T1g;
cannam@167 99 T2P = Ta - Td;
cannam@167 100 T2S = T2Q - T2R;
cannam@167 101 T3b = T2S - T2P;
cannam@167 102 {
cannam@167 103 E T1i, T1j, T7, Te;
cannam@167 104 T3p = T2Q + T2R;
cannam@167 105 T3q = T2y + T2x;
cannam@167 106 T3D = T3p - T3q;
cannam@167 107 T1i = TB + TE;
cannam@167 108 T1j = TG + TJ;
cannam@167 109 T1k = T1i - T1j;
cannam@167 110 T1P = T1i + T1j;
cannam@167 111 T7 = T3 + T6;
cannam@167 112 Te = Ta + Td;
cannam@167 113 Tf = T7 + Te;
cannam@167 114 T3y = T7 - Te;
cannam@167 115 {
cannam@167 116 E T2w, T2z, TF, TK;
cannam@167 117 T2w = T3 - T6;
cannam@167 118 T2z = T2x - T2y;
cannam@167 119 T2A = T2w + T2z;
cannam@167 120 T36 = T2w - T2z;
cannam@167 121 TF = TB - TE;
cannam@167 122 TK = TG - TJ;
cannam@167 123 TL = TF + TK;
cannam@167 124 T22 = TF - TK;
cannam@167 125 }
cannam@167 126 }
cannam@167 127 }
cannam@167 128 {
cannam@167 129 E Ti, T13, T11, T2C, T16, T2D, Tl, TY, Tp, TS, TQ, T2H, TV, T2I, Ts;
cannam@167 130 E TN, T2B, T2E;
cannam@167 131 {
cannam@167 132 E Tg, Th, TZ, T10;
cannam@167 133 Tg = cr[WS(rs, 1)];
cannam@167 134 Th = ci[WS(rs, 6)];
cannam@167 135 Ti = Tg + Th;
cannam@167 136 T13 = Tg - Th;
cannam@167 137 TZ = ci[WS(rs, 14)];
cannam@167 138 T10 = cr[WS(rs, 9)];
cannam@167 139 T11 = TZ + T10;
cannam@167 140 T2C = TZ - T10;
cannam@167 141 }
cannam@167 142 {
cannam@167 143 E T14, T15, Tj, Tk;
cannam@167 144 T14 = ci[WS(rs, 10)];
cannam@167 145 T15 = cr[WS(rs, 13)];
cannam@167 146 T16 = T14 + T15;
cannam@167 147 T2D = T14 - T15;
cannam@167 148 Tj = cr[WS(rs, 5)];
cannam@167 149 Tk = ci[WS(rs, 2)];
cannam@167 150 Tl = Tj + Tk;
cannam@167 151 TY = Tj - Tk;
cannam@167 152 }
cannam@167 153 {
cannam@167 154 E Tn, To, TO, TP;
cannam@167 155 Tn = ci[0];
cannam@167 156 To = cr[WS(rs, 7)];
cannam@167 157 Tp = Tn + To;
cannam@167 158 TS = Tn - To;
cannam@167 159 TO = ci[WS(rs, 8)];
cannam@167 160 TP = cr[WS(rs, 15)];
cannam@167 161 TQ = TO + TP;
cannam@167 162 T2H = TO - TP;
cannam@167 163 }
cannam@167 164 {
cannam@167 165 E TT, TU, Tq, Tr;
cannam@167 166 TT = ci[WS(rs, 12)];
cannam@167 167 TU = cr[WS(rs, 11)];
cannam@167 168 TV = TT + TU;
cannam@167 169 T2I = TT - TU;
cannam@167 170 Tq = cr[WS(rs, 3)];
cannam@167 171 Tr = ci[WS(rs, 4)];
cannam@167 172 Ts = Tq + Tr;
cannam@167 173 TN = Tq - Tr;
cannam@167 174 }
cannam@167 175 T3s = T2C + T2D;
cannam@167 176 T3t = T2H + T2I;
cannam@167 177 T3z = T3t - T3s;
cannam@167 178 T2B = Ti - Tl;
cannam@167 179 T2E = T2C - T2D;
cannam@167 180 T2F = T2B - T2E;
cannam@167 181 T2U = T2B + T2E;
cannam@167 182 {
cannam@167 183 E T2G, T2J, Tm, Tt;
cannam@167 184 T2G = Tp - Ts;
cannam@167 185 T2J = T2H - T2I;
cannam@167 186 T2K = T2G + T2J;
cannam@167 187 T2V = T2J - T2G;
cannam@167 188 Tm = Ti + Tl;
cannam@167 189 Tt = Tp + Ts;
cannam@167 190 Tu = Tm + Tt;
cannam@167 191 T3E = Tm - Tt;
cannam@167 192 }
cannam@167 193 {
cannam@167 194 E TR, TW, T1R, T1S;
cannam@167 195 TR = TN - TQ;
cannam@167 196 TW = TS - TV;
cannam@167 197 TX = FNMS(KP414213562, TW, TR);
cannam@167 198 T1n = FMA(KP414213562, TR, TW);
cannam@167 199 T1R = T11 - TY;
cannam@167 200 T1S = T13 + T16;
cannam@167 201 T1T = FNMS(KP414213562, T1S, T1R);
cannam@167 202 T24 = FMA(KP414213562, T1R, T1S);
cannam@167 203 }
cannam@167 204 {
cannam@167 205 E T1U, T1V, T12, T17;
cannam@167 206 T1U = TN + TQ;
cannam@167 207 T1V = TS + TV;
cannam@167 208 T1W = FNMS(KP414213562, T1V, T1U);
cannam@167 209 T25 = FMA(KP414213562, T1U, T1V);
cannam@167 210 T12 = TY + T11;
cannam@167 211 T17 = T13 - T16;
cannam@167 212 T18 = FMA(KP414213562, T17, T12);
cannam@167 213 T1m = FNMS(KP414213562, T12, T17);
cannam@167 214 }
cannam@167 215 }
cannam@167 216 cr[0] = Tf + Tu;
cannam@167 217 {
cannam@167 218 E T3r, T3u, T3v, T3l, T3n, T3o, T3w, T3m;
cannam@167 219 T3r = T3p + T3q;
cannam@167 220 T3u = T3s + T3t;
cannam@167 221 T3v = T3r - T3u;
cannam@167 222 T3m = Tf - Tu;
cannam@167 223 T3l = W[14];
cannam@167 224 T3n = T3l * T3m;
cannam@167 225 T3o = W[15];
cannam@167 226 T3w = T3o * T3m;
cannam@167 227 ci[0] = T3r + T3u;
cannam@167 228 ci[WS(rs, 8)] = FMA(T3l, T3v, T3w);
cannam@167 229 cr[WS(rs, 8)] = FNMS(T3o, T3v, T3n);
cannam@167 230 }
cannam@167 231 {
cannam@167 232 E T3A, T3F, T3B, T3G, T3x, T3C;
cannam@167 233 T3A = T3y - T3z;
cannam@167 234 T3F = T3D - T3E;
cannam@167 235 T3x = W[22];
cannam@167 236 T3B = T3x * T3A;
cannam@167 237 T3G = T3x * T3F;
cannam@167 238 T3C = W[23];
cannam@167 239 cr[WS(rs, 12)] = FNMS(T3C, T3F, T3B);
cannam@167 240 ci[WS(rs, 12)] = FMA(T3C, T3A, T3G);
cannam@167 241 }
cannam@167 242 {
cannam@167 243 E T3I, T3L, T3J, T3M, T3H, T3K;
cannam@167 244 T3I = T3y + T3z;
cannam@167 245 T3L = T3E + T3D;
cannam@167 246 T3H = W[6];
cannam@167 247 T3J = T3H * T3I;
cannam@167 248 T3M = T3H * T3L;
cannam@167 249 T3K = W[7];
cannam@167 250 cr[WS(rs, 4)] = FNMS(T3K, T3L, T3J);
cannam@167 251 ci[WS(rs, 4)] = FMA(T3K, T3I, T3M);
cannam@167 252 }
cannam@167 253 {
cannam@167 254 E T38, T3g, T3d, T3j, T37, T3c;
cannam@167 255 T37 = T2V - T2U;
cannam@167 256 T38 = FNMS(KP707106781, T37, T36);
cannam@167 257 T3g = FMA(KP707106781, T37, T36);
cannam@167 258 T3c = T2F - T2K;
cannam@167 259 T3d = FNMS(KP707106781, T3c, T3b);
cannam@167 260 T3j = FMA(KP707106781, T3c, T3b);
cannam@167 261 {
cannam@167 262 E T39, T3e, T35, T3a;
cannam@167 263 T35 = W[26];
cannam@167 264 T39 = T35 * T38;
cannam@167 265 T3e = T35 * T3d;
cannam@167 266 T3a = W[27];
cannam@167 267 cr[WS(rs, 14)] = FNMS(T3a, T3d, T39);
cannam@167 268 ci[WS(rs, 14)] = FMA(T3a, T38, T3e);
cannam@167 269 }
cannam@167 270 {
cannam@167 271 E T3h, T3k, T3f, T3i;
cannam@167 272 T3f = W[10];
cannam@167 273 T3h = T3f * T3g;
cannam@167 274 T3k = T3f * T3j;
cannam@167 275 T3i = W[11];
cannam@167 276 cr[WS(rs, 6)] = FNMS(T3i, T3j, T3h);
cannam@167 277 ci[WS(rs, 6)] = FMA(T3i, T3g, T3k);
cannam@167 278 }
cannam@167 279 }
cannam@167 280 {
cannam@167 281 E T2M, T30, T2X, T33, T2L, T2T, T2W;
cannam@167 282 T2L = T2F + T2K;
cannam@167 283 T2M = FNMS(KP707106781, T2L, T2A);
cannam@167 284 T30 = FMA(KP707106781, T2L, T2A);
cannam@167 285 T2T = T2P + T2S;
cannam@167 286 T2W = T2U + T2V;
cannam@167 287 T2X = FNMS(KP707106781, T2W, T2T);
cannam@167 288 T33 = FMA(KP707106781, T2W, T2T);
cannam@167 289 {
cannam@167 290 E T2v, T2N, T2O, T2Y;
cannam@167 291 T2v = W[18];
cannam@167 292 T2N = T2v * T2M;
cannam@167 293 T2O = W[19];
cannam@167 294 T2Y = T2O * T2M;
cannam@167 295 cr[WS(rs, 10)] = FNMS(T2O, T2X, T2N);
cannam@167 296 ci[WS(rs, 10)] = FMA(T2v, T2X, T2Y);
cannam@167 297 }
cannam@167 298 {
cannam@167 299 E T2Z, T31, T32, T34;
cannam@167 300 T2Z = W[2];
cannam@167 301 T31 = T2Z * T30;
cannam@167 302 T32 = W[3];
cannam@167 303 T34 = T32 * T30;
cannam@167 304 cr[WS(rs, 2)] = FNMS(T32, T33, T31);
cannam@167 305 ci[WS(rs, 2)] = FMA(T2Z, T33, T34);
cannam@167 306 }
cannam@167 307 }
cannam@167 308 {
cannam@167 309 E T1Y, T2a, T27, T2d;
cannam@167 310 {
cannam@167 311 E T1Q, T1X, T23, T26;
cannam@167 312 T1Q = FNMS(KP707106781, T1P, T1O);
cannam@167 313 T1X = T1T + T1W;
cannam@167 314 T1Y = FMA(KP923879532, T1X, T1Q);
cannam@167 315 T2a = FNMS(KP923879532, T1X, T1Q);
cannam@167 316 T23 = FMA(KP707106781, T22, T21);
cannam@167 317 T26 = T24 - T25;
cannam@167 318 T27 = FNMS(KP923879532, T26, T23);
cannam@167 319 T2d = FMA(KP923879532, T26, T23);
cannam@167 320 }
cannam@167 321 {
cannam@167 322 E T1N, T1Z, T20, T28;
cannam@167 323 T1N = W[20];
cannam@167 324 T1Z = T1N * T1Y;
cannam@167 325 T20 = W[21];
cannam@167 326 T28 = T20 * T1Y;
cannam@167 327 cr[WS(rs, 11)] = FNMS(T20, T27, T1Z);
cannam@167 328 ci[WS(rs, 11)] = FMA(T1N, T27, T28);
cannam@167 329 }
cannam@167 330 {
cannam@167 331 E T29, T2b, T2c, T2e;
cannam@167 332 T29 = W[4];
cannam@167 333 T2b = T29 * T2a;
cannam@167 334 T2c = W[5];
cannam@167 335 T2e = T2c * T2a;
cannam@167 336 cr[WS(rs, 3)] = FNMS(T2c, T2d, T2b);
cannam@167 337 ci[WS(rs, 3)] = FMA(T29, T2d, T2e);
cannam@167 338 }
cannam@167 339 }
cannam@167 340 {
cannam@167 341 E T1a, T1s, T1p, T1v;
cannam@167 342 {
cannam@167 343 E TM, T19, T1l, T1o;
cannam@167 344 TM = FNMS(KP707106781, TL, TA);
cannam@167 345 T19 = TX - T18;
cannam@167 346 T1a = FNMS(KP923879532, T19, TM);
cannam@167 347 T1s = FMA(KP923879532, T19, TM);
cannam@167 348 T1l = FNMS(KP707106781, T1k, T1h);
cannam@167 349 T1o = T1m - T1n;
cannam@167 350 T1p = FNMS(KP923879532, T1o, T1l);
cannam@167 351 T1v = FMA(KP923879532, T1o, T1l);
cannam@167 352 }
cannam@167 353 {
cannam@167 354 E Tv, T1b, T1c, T1q;
cannam@167 355 Tv = W[24];
cannam@167 356 T1b = Tv * T1a;
cannam@167 357 T1c = W[25];
cannam@167 358 T1q = T1c * T1a;
cannam@167 359 cr[WS(rs, 13)] = FNMS(T1c, T1p, T1b);
cannam@167 360 ci[WS(rs, 13)] = FMA(Tv, T1p, T1q);
cannam@167 361 }
cannam@167 362 {
cannam@167 363 E T1r, T1t, T1u, T1w;
cannam@167 364 T1r = W[8];
cannam@167 365 T1t = T1r * T1s;
cannam@167 366 T1u = W[9];
cannam@167 367 T1w = T1u * T1s;
cannam@167 368 cr[WS(rs, 5)] = FNMS(T1u, T1v, T1t);
cannam@167 369 ci[WS(rs, 5)] = FMA(T1r, T1v, T1w);
cannam@167 370 }
cannam@167 371 }
cannam@167 372 {
cannam@167 373 E T2i, T2q, T2n, T2t;
cannam@167 374 {
cannam@167 375 E T2g, T2h, T2l, T2m;
cannam@167 376 T2g = FMA(KP707106781, T1P, T1O);
cannam@167 377 T2h = T24 + T25;
cannam@167 378 T2i = FNMS(KP923879532, T2h, T2g);
cannam@167 379 T2q = FMA(KP923879532, T2h, T2g);
cannam@167 380 T2l = FNMS(KP707106781, T22, T21);
cannam@167 381 T2m = T1W - T1T;
cannam@167 382 T2n = FMA(KP923879532, T2m, T2l);
cannam@167 383 T2t = FNMS(KP923879532, T2m, T2l);
cannam@167 384 }
cannam@167 385 {
cannam@167 386 E T2j, T2o, T2f, T2k;
cannam@167 387 T2f = W[12];
cannam@167 388 T2j = T2f * T2i;
cannam@167 389 T2o = T2f * T2n;
cannam@167 390 T2k = W[13];
cannam@167 391 cr[WS(rs, 7)] = FNMS(T2k, T2n, T2j);
cannam@167 392 ci[WS(rs, 7)] = FMA(T2k, T2i, T2o);
cannam@167 393 }
cannam@167 394 {
cannam@167 395 E T2r, T2u, T2p, T2s;
cannam@167 396 T2p = W[28];
cannam@167 397 T2r = T2p * T2q;
cannam@167 398 T2u = T2p * T2t;
cannam@167 399 T2s = W[29];
cannam@167 400 cr[WS(rs, 15)] = FNMS(T2s, T2t, T2r);
cannam@167 401 ci[WS(rs, 15)] = FMA(T2s, T2q, T2u);
cannam@167 402 }
cannam@167 403 }
cannam@167 404 {
cannam@167 405 E T1A, T1I, T1F, T1L;
cannam@167 406 {
cannam@167 407 E T1y, T1z, T1D, T1E;
cannam@167 408 T1y = FMA(KP707106781, TL, TA);
cannam@167 409 T1z = T1m + T1n;
cannam@167 410 T1A = FNMS(KP923879532, T1z, T1y);
cannam@167 411 T1I = FMA(KP923879532, T1z, T1y);
cannam@167 412 T1D = FMA(KP707106781, T1k, T1h);
cannam@167 413 T1E = T18 + TX;
cannam@167 414 T1F = FNMS(KP923879532, T1E, T1D);
cannam@167 415 T1L = FMA(KP923879532, T1E, T1D);
cannam@167 416 }
cannam@167 417 {
cannam@167 418 E T1B, T1G, T1x, T1C;
cannam@167 419 T1x = W[16];
cannam@167 420 T1B = T1x * T1A;
cannam@167 421 T1G = T1x * T1F;
cannam@167 422 T1C = W[17];
cannam@167 423 cr[WS(rs, 9)] = FNMS(T1C, T1F, T1B);
cannam@167 424 ci[WS(rs, 9)] = FMA(T1C, T1A, T1G);
cannam@167 425 }
cannam@167 426 {
cannam@167 427 E T1J, T1M, T1H, T1K;
cannam@167 428 T1H = W[0];
cannam@167 429 T1J = T1H * T1I;
cannam@167 430 T1M = T1H * T1L;
cannam@167 431 T1K = W[1];
cannam@167 432 cr[WS(rs, 1)] = FNMS(T1K, T1L, T1J);
cannam@167 433 ci[WS(rs, 1)] = FMA(T1K, T1I, T1M);
cannam@167 434 }
cannam@167 435 }
cannam@167 436 }
cannam@167 437 }
cannam@167 438 }
cannam@167 439
cannam@167 440 static const tw_instr twinstr[] = {
cannam@167 441 {TW_FULL, 1, 16},
cannam@167 442 {TW_NEXT, 1, 0}
cannam@167 443 };
cannam@167 444
cannam@167 445 static const hc2hc_desc desc = { 16, "hb_16", twinstr, &GENUS, {104, 30, 70, 0} };
cannam@167 446
cannam@167 447 void X(codelet_hb_16) (planner *p) {
cannam@167 448 X(khc2hc_register) (p, hb_16, &desc);
cannam@167 449 }
cannam@167 450 #else
cannam@167 451
cannam@167 452 /* Generated by: ../../../genfft/gen_hc2hc.native -compact -variables 4 -pipeline-latency 4 -sign 1 -n 16 -dif -name hb_16 -include rdft/scalar/hb.h */
cannam@167 453
cannam@167 454 /*
cannam@167 455 * This function contains 174 FP additions, 84 FP multiplications,
cannam@167 456 * (or, 136 additions, 46 multiplications, 38 fused multiply/add),
cannam@167 457 * 50 stack variables, 3 constants, and 64 memory accesses
cannam@167 458 */
cannam@167 459 #include "rdft/scalar/hb.h"
cannam@167 460
cannam@167 461 static void hb_16(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
cannam@167 462 {
cannam@167 463 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
cannam@167 464 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
cannam@167 465 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
cannam@167 466 {
cannam@167 467 INT m;
cannam@167 468 for (m = mb, W = W + ((mb - 1) * 30); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 30, MAKE_VOLATILE_STRIDE(32, rs)) {
cannam@167 469 E T7, T2K, T2W, Tw, T17, T1S, T2k, T1w, Te, TD, T1x, T10, T2n, T2L, T1Z;
cannam@167 470 E T2X, Tm, T1z, TN, T19, T2e, T2p, T2P, T2Z, Tt, T1A, TW, T1a, T27, T2q;
cannam@167 471 E T2S, T30;
cannam@167 472 {
cannam@167 473 E T3, T1Q, T16, T1R, T6, T2i, T13, T2j;
cannam@167 474 {
cannam@167 475 E T1, T2, T14, T15;
cannam@167 476 T1 = cr[0];
cannam@167 477 T2 = ci[WS(rs, 7)];
cannam@167 478 T3 = T1 + T2;
cannam@167 479 T1Q = T1 - T2;
cannam@167 480 T14 = ci[WS(rs, 11)];
cannam@167 481 T15 = cr[WS(rs, 12)];
cannam@167 482 T16 = T14 - T15;
cannam@167 483 T1R = T14 + T15;
cannam@167 484 }
cannam@167 485 {
cannam@167 486 E T4, T5, T11, T12;
cannam@167 487 T4 = cr[WS(rs, 4)];
cannam@167 488 T5 = ci[WS(rs, 3)];
cannam@167 489 T6 = T4 + T5;
cannam@167 490 T2i = T4 - T5;
cannam@167 491 T11 = ci[WS(rs, 15)];
cannam@167 492 T12 = cr[WS(rs, 8)];
cannam@167 493 T13 = T11 - T12;
cannam@167 494 T2j = T11 + T12;
cannam@167 495 }
cannam@167 496 T7 = T3 + T6;
cannam@167 497 T2K = T1Q + T1R;
cannam@167 498 T2W = T2j - T2i;
cannam@167 499 Tw = T3 - T6;
cannam@167 500 T17 = T13 - T16;
cannam@167 501 T1S = T1Q - T1R;
cannam@167 502 T2k = T2i + T2j;
cannam@167 503 T1w = T13 + T16;
cannam@167 504 }
cannam@167 505 {
cannam@167 506 E Ta, T1T, TC, T1U, Td, T1W, Tz, T1X;
cannam@167 507 {
cannam@167 508 E T8, T9, TA, TB;
cannam@167 509 T8 = cr[WS(rs, 2)];
cannam@167 510 T9 = ci[WS(rs, 5)];
cannam@167 511 Ta = T8 + T9;
cannam@167 512 T1T = T8 - T9;
cannam@167 513 TA = ci[WS(rs, 13)];
cannam@167 514 TB = cr[WS(rs, 10)];
cannam@167 515 TC = TA - TB;
cannam@167 516 T1U = TA + TB;
cannam@167 517 }
cannam@167 518 {
cannam@167 519 E Tb, Tc, Tx, Ty;
cannam@167 520 Tb = ci[WS(rs, 1)];
cannam@167 521 Tc = cr[WS(rs, 6)];
cannam@167 522 Td = Tb + Tc;
cannam@167 523 T1W = Tb - Tc;
cannam@167 524 Tx = ci[WS(rs, 9)];
cannam@167 525 Ty = cr[WS(rs, 14)];
cannam@167 526 Tz = Tx - Ty;
cannam@167 527 T1X = Tx + Ty;
cannam@167 528 }
cannam@167 529 Te = Ta + Td;
cannam@167 530 TD = Tz - TC;
cannam@167 531 T1x = TC + Tz;
cannam@167 532 T10 = Ta - Td;
cannam@167 533 {
cannam@167 534 E T2l, T2m, T1V, T1Y;
cannam@167 535 T2l = T1T + T1U;
cannam@167 536 T2m = T1W + T1X;
cannam@167 537 T2n = KP707106781 * (T2l - T2m);
cannam@167 538 T2L = KP707106781 * (T2l + T2m);
cannam@167 539 T1V = T1T - T1U;
cannam@167 540 T1Y = T1W - T1X;
cannam@167 541 T1Z = KP707106781 * (T1V + T1Y);
cannam@167 542 T2X = KP707106781 * (T1V - T1Y);
cannam@167 543 }
cannam@167 544 }
cannam@167 545 {
cannam@167 546 E Ti, T2b, TL, T2c, Tl, T28, TI, T29, TF, TM;
cannam@167 547 {
cannam@167 548 E Tg, Th, TJ, TK;
cannam@167 549 Tg = cr[WS(rs, 1)];
cannam@167 550 Th = ci[WS(rs, 6)];
cannam@167 551 Ti = Tg + Th;
cannam@167 552 T2b = Tg - Th;
cannam@167 553 TJ = ci[WS(rs, 10)];
cannam@167 554 TK = cr[WS(rs, 13)];
cannam@167 555 TL = TJ - TK;
cannam@167 556 T2c = TJ + TK;
cannam@167 557 }
cannam@167 558 {
cannam@167 559 E Tj, Tk, TG, TH;
cannam@167 560 Tj = cr[WS(rs, 5)];
cannam@167 561 Tk = ci[WS(rs, 2)];
cannam@167 562 Tl = Tj + Tk;
cannam@167 563 T28 = Tj - Tk;
cannam@167 564 TG = ci[WS(rs, 14)];
cannam@167 565 TH = cr[WS(rs, 9)];
cannam@167 566 TI = TG - TH;
cannam@167 567 T29 = TG + TH;
cannam@167 568 }
cannam@167 569 Tm = Ti + Tl;
cannam@167 570 T1z = TI + TL;
cannam@167 571 TF = Ti - Tl;
cannam@167 572 TM = TI - TL;
cannam@167 573 TN = TF - TM;
cannam@167 574 T19 = TF + TM;
cannam@167 575 {
cannam@167 576 E T2a, T2d, T2N, T2O;
cannam@167 577 T2a = T28 + T29;
cannam@167 578 T2d = T2b - T2c;
cannam@167 579 T2e = FMA(KP923879532, T2a, KP382683432 * T2d);
cannam@167 580 T2p = FNMS(KP382683432, T2a, KP923879532 * T2d);
cannam@167 581 T2N = T2b + T2c;
cannam@167 582 T2O = T29 - T28;
cannam@167 583 T2P = FNMS(KP923879532, T2O, KP382683432 * T2N);
cannam@167 584 T2Z = FMA(KP382683432, T2O, KP923879532 * T2N);
cannam@167 585 }
cannam@167 586 }
cannam@167 587 {
cannam@167 588 E Tp, T24, TU, T25, Ts, T21, TR, T22, TO, TV;
cannam@167 589 {
cannam@167 590 E Tn, To, TS, TT;
cannam@167 591 Tn = ci[0];
cannam@167 592 To = cr[WS(rs, 7)];
cannam@167 593 Tp = Tn + To;
cannam@167 594 T24 = Tn - To;
cannam@167 595 TS = ci[WS(rs, 12)];
cannam@167 596 TT = cr[WS(rs, 11)];
cannam@167 597 TU = TS - TT;
cannam@167 598 T25 = TS + TT;
cannam@167 599 }
cannam@167 600 {
cannam@167 601 E Tq, Tr, TP, TQ;
cannam@167 602 Tq = cr[WS(rs, 3)];
cannam@167 603 Tr = ci[WS(rs, 4)];
cannam@167 604 Ts = Tq + Tr;
cannam@167 605 T21 = Tq - Tr;
cannam@167 606 TP = ci[WS(rs, 8)];
cannam@167 607 TQ = cr[WS(rs, 15)];
cannam@167 608 TR = TP - TQ;
cannam@167 609 T22 = TP + TQ;
cannam@167 610 }
cannam@167 611 Tt = Tp + Ts;
cannam@167 612 T1A = TR + TU;
cannam@167 613 TO = Tp - Ts;
cannam@167 614 TV = TR - TU;
cannam@167 615 TW = TO + TV;
cannam@167 616 T1a = TV - TO;
cannam@167 617 {
cannam@167 618 E T23, T26, T2Q, T2R;
cannam@167 619 T23 = T21 - T22;
cannam@167 620 T26 = T24 - T25;
cannam@167 621 T27 = FNMS(KP382683432, T26, KP923879532 * T23);
cannam@167 622 T2q = FMA(KP382683432, T23, KP923879532 * T26);
cannam@167 623 T2Q = T24 + T25;
cannam@167 624 T2R = T21 + T22;
cannam@167 625 T2S = FNMS(KP923879532, T2R, KP382683432 * T2Q);
cannam@167 626 T30 = FMA(KP382683432, T2R, KP923879532 * T2Q);
cannam@167 627 }
cannam@167 628 }
cannam@167 629 {
cannam@167 630 E Tf, Tu, T1u, T1y, T1B, T1C, T1t, T1v;
cannam@167 631 Tf = T7 + Te;
cannam@167 632 Tu = Tm + Tt;
cannam@167 633 T1u = Tf - Tu;
cannam@167 634 T1y = T1w + T1x;
cannam@167 635 T1B = T1z + T1A;
cannam@167 636 T1C = T1y - T1B;
cannam@167 637 cr[0] = Tf + Tu;
cannam@167 638 ci[0] = T1y + T1B;
cannam@167 639 T1t = W[14];
cannam@167 640 T1v = W[15];
cannam@167 641 cr[WS(rs, 8)] = FNMS(T1v, T1C, T1t * T1u);
cannam@167 642 ci[WS(rs, 8)] = FMA(T1v, T1u, T1t * T1C);
cannam@167 643 }
cannam@167 644 {
cannam@167 645 E T2U, T34, T32, T36;
cannam@167 646 {
cannam@167 647 E T2M, T2T, T2Y, T31;
cannam@167 648 T2M = T2K - T2L;
cannam@167 649 T2T = T2P + T2S;
cannam@167 650 T2U = T2M - T2T;
cannam@167 651 T34 = T2M + T2T;
cannam@167 652 T2Y = T2W + T2X;
cannam@167 653 T31 = T2Z - T30;
cannam@167 654 T32 = T2Y - T31;
cannam@167 655 T36 = T2Y + T31;
cannam@167 656 }
cannam@167 657 {
cannam@167 658 E T2J, T2V, T33, T35;
cannam@167 659 T2J = W[20];
cannam@167 660 T2V = W[21];
cannam@167 661 cr[WS(rs, 11)] = FNMS(T2V, T32, T2J * T2U);
cannam@167 662 ci[WS(rs, 11)] = FMA(T2V, T2U, T2J * T32);
cannam@167 663 T33 = W[4];
cannam@167 664 T35 = W[5];
cannam@167 665 cr[WS(rs, 3)] = FNMS(T35, T36, T33 * T34);
cannam@167 666 ci[WS(rs, 3)] = FMA(T35, T34, T33 * T36);
cannam@167 667 }
cannam@167 668 }
cannam@167 669 {
cannam@167 670 E T3a, T3g, T3e, T3i;
cannam@167 671 {
cannam@167 672 E T38, T39, T3c, T3d;
cannam@167 673 T38 = T2K + T2L;
cannam@167 674 T39 = T2Z + T30;
cannam@167 675 T3a = T38 - T39;
cannam@167 676 T3g = T38 + T39;
cannam@167 677 T3c = T2W - T2X;
cannam@167 678 T3d = T2P - T2S;
cannam@167 679 T3e = T3c + T3d;
cannam@167 680 T3i = T3c - T3d;
cannam@167 681 }
cannam@167 682 {
cannam@167 683 E T37, T3b, T3f, T3h;
cannam@167 684 T37 = W[12];
cannam@167 685 T3b = W[13];
cannam@167 686 cr[WS(rs, 7)] = FNMS(T3b, T3e, T37 * T3a);
cannam@167 687 ci[WS(rs, 7)] = FMA(T37, T3e, T3b * T3a);
cannam@167 688 T3f = W[28];
cannam@167 689 T3h = W[29];
cannam@167 690 cr[WS(rs, 15)] = FNMS(T3h, T3i, T3f * T3g);
cannam@167 691 ci[WS(rs, 15)] = FMA(T3f, T3i, T3h * T3g);
cannam@167 692 }
cannam@167 693 }
cannam@167 694 {
cannam@167 695 E TY, T1e, T1c, T1g;
cannam@167 696 {
cannam@167 697 E TE, TX, T18, T1b;
cannam@167 698 TE = Tw + TD;
cannam@167 699 TX = KP707106781 * (TN + TW);
cannam@167 700 TY = TE - TX;
cannam@167 701 T1e = TE + TX;
cannam@167 702 T18 = T10 + T17;
cannam@167 703 T1b = KP707106781 * (T19 + T1a);
cannam@167 704 T1c = T18 - T1b;
cannam@167 705 T1g = T18 + T1b;
cannam@167 706 }
cannam@167 707 {
cannam@167 708 E Tv, TZ, T1d, T1f;
cannam@167 709 Tv = W[18];
cannam@167 710 TZ = W[19];
cannam@167 711 cr[WS(rs, 10)] = FNMS(TZ, T1c, Tv * TY);
cannam@167 712 ci[WS(rs, 10)] = FMA(TZ, TY, Tv * T1c);
cannam@167 713 T1d = W[2];
cannam@167 714 T1f = W[3];
cannam@167 715 cr[WS(rs, 2)] = FNMS(T1f, T1g, T1d * T1e);
cannam@167 716 ci[WS(rs, 2)] = FMA(T1f, T1e, T1d * T1g);
cannam@167 717 }
cannam@167 718 }
cannam@167 719 {
cannam@167 720 E T1k, T1q, T1o, T1s;
cannam@167 721 {
cannam@167 722 E T1i, T1j, T1m, T1n;
cannam@167 723 T1i = Tw - TD;
cannam@167 724 T1j = KP707106781 * (T1a - T19);
cannam@167 725 T1k = T1i - T1j;
cannam@167 726 T1q = T1i + T1j;
cannam@167 727 T1m = T17 - T10;
cannam@167 728 T1n = KP707106781 * (TN - TW);
cannam@167 729 T1o = T1m - T1n;
cannam@167 730 T1s = T1m + T1n;
cannam@167 731 }
cannam@167 732 {
cannam@167 733 E T1h, T1l, T1p, T1r;
cannam@167 734 T1h = W[26];
cannam@167 735 T1l = W[27];
cannam@167 736 cr[WS(rs, 14)] = FNMS(T1l, T1o, T1h * T1k);
cannam@167 737 ci[WS(rs, 14)] = FMA(T1h, T1o, T1l * T1k);
cannam@167 738 T1p = W[10];
cannam@167 739 T1r = W[11];
cannam@167 740 cr[WS(rs, 6)] = FNMS(T1r, T1s, T1p * T1q);
cannam@167 741 ci[WS(rs, 6)] = FMA(T1p, T1s, T1r * T1q);
cannam@167 742 }
cannam@167 743 }
cannam@167 744 {
cannam@167 745 E T2g, T2u, T2s, T2w;
cannam@167 746 {
cannam@167 747 E T20, T2f, T2o, T2r;
cannam@167 748 T20 = T1S - T1Z;
cannam@167 749 T2f = T27 - T2e;
cannam@167 750 T2g = T20 - T2f;
cannam@167 751 T2u = T20 + T2f;
cannam@167 752 T2o = T2k - T2n;
cannam@167 753 T2r = T2p - T2q;
cannam@167 754 T2s = T2o - T2r;
cannam@167 755 T2w = T2o + T2r;
cannam@167 756 }
cannam@167 757 {
cannam@167 758 E T1P, T2h, T2t, T2v;
cannam@167 759 T1P = W[24];
cannam@167 760 T2h = W[25];
cannam@167 761 cr[WS(rs, 13)] = FNMS(T2h, T2s, T1P * T2g);
cannam@167 762 ci[WS(rs, 13)] = FMA(T2h, T2g, T1P * T2s);
cannam@167 763 T2t = W[8];
cannam@167 764 T2v = W[9];
cannam@167 765 cr[WS(rs, 5)] = FNMS(T2v, T2w, T2t * T2u);
cannam@167 766 ci[WS(rs, 5)] = FMA(T2v, T2u, T2t * T2w);
cannam@167 767 }
cannam@167 768 }
cannam@167 769 {
cannam@167 770 E T2A, T2G, T2E, T2I;
cannam@167 771 {
cannam@167 772 E T2y, T2z, T2C, T2D;
cannam@167 773 T2y = T1S + T1Z;
cannam@167 774 T2z = T2p + T2q;
cannam@167 775 T2A = T2y - T2z;
cannam@167 776 T2G = T2y + T2z;
cannam@167 777 T2C = T2k + T2n;
cannam@167 778 T2D = T2e + T27;
cannam@167 779 T2E = T2C - T2D;
cannam@167 780 T2I = T2C + T2D;
cannam@167 781 }
cannam@167 782 {
cannam@167 783 E T2x, T2B, T2F, T2H;
cannam@167 784 T2x = W[16];
cannam@167 785 T2B = W[17];
cannam@167 786 cr[WS(rs, 9)] = FNMS(T2B, T2E, T2x * T2A);
cannam@167 787 ci[WS(rs, 9)] = FMA(T2x, T2E, T2B * T2A);
cannam@167 788 T2F = W[0];
cannam@167 789 T2H = W[1];
cannam@167 790 cr[WS(rs, 1)] = FNMS(T2H, T2I, T2F * T2G);
cannam@167 791 ci[WS(rs, 1)] = FMA(T2F, T2I, T2H * T2G);
cannam@167 792 }
cannam@167 793 }
cannam@167 794 {
cannam@167 795 E T1G, T1M, T1K, T1O;
cannam@167 796 {
cannam@167 797 E T1E, T1F, T1I, T1J;
cannam@167 798 T1E = T7 - Te;
cannam@167 799 T1F = T1A - T1z;
cannam@167 800 T1G = T1E - T1F;
cannam@167 801 T1M = T1E + T1F;
cannam@167 802 T1I = T1w - T1x;
cannam@167 803 T1J = Tm - Tt;
cannam@167 804 T1K = T1I - T1J;
cannam@167 805 T1O = T1J + T1I;
cannam@167 806 }
cannam@167 807 {
cannam@167 808 E T1D, T1H, T1L, T1N;
cannam@167 809 T1D = W[22];
cannam@167 810 T1H = W[23];
cannam@167 811 cr[WS(rs, 12)] = FNMS(T1H, T1K, T1D * T1G);
cannam@167 812 ci[WS(rs, 12)] = FMA(T1D, T1K, T1H * T1G);
cannam@167 813 T1L = W[6];
cannam@167 814 T1N = W[7];
cannam@167 815 cr[WS(rs, 4)] = FNMS(T1N, T1O, T1L * T1M);
cannam@167 816 ci[WS(rs, 4)] = FMA(T1L, T1O, T1N * T1M);
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_FULL, 1, 16},
cannam@167 825 {TW_NEXT, 1, 0}
cannam@167 826 };
cannam@167 827
cannam@167 828 static const hc2hc_desc desc = { 16, "hb_16", twinstr, &GENUS, {136, 46, 38, 0} };
cannam@167 829
cannam@167 830 void X(codelet_hb_16) (planner *p) {
cannam@167 831 X(khc2hc_register) (p, hb_16, &desc);
cannam@167 832 }
cannam@167 833 #endif