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annotate src/fftw-3.3.8/rdft/scalar/r2cb/hc2cb2_16.c @ 82:d0c2a83c1364

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Add FFTW 3.3.8 source, and a Linux build
author Chris Cannam
date Tue, 19 Nov 2019 14:52:55 +0000
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rev   line source
Chris@82 1 /*
Chris@82 2 * Copyright (c) 2003, 2007-14 Matteo Frigo
Chris@82 3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
Chris@82 4 *
Chris@82 5 * This program is free software; you can redistribute it and/or modify
Chris@82 6 * it under the terms of the GNU General Public License as published by
Chris@82 7 * the Free Software Foundation; either version 2 of the License, or
Chris@82 8 * (at your option) any later version.
Chris@82 9 *
Chris@82 10 * This program is distributed in the hope that it will be useful,
Chris@82 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
Chris@82 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
Chris@82 13 * GNU General Public License for more details.
Chris@82 14 *
Chris@82 15 * You should have received a copy of the GNU General Public License
Chris@82 16 * along with this program; if not, write to the Free Software
Chris@82 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
Chris@82 18 *
Chris@82 19 */
Chris@82 20
Chris@82 21 /* This file was automatically generated --- DO NOT EDIT */
Chris@82 22 /* Generated on Thu May 24 08:07:55 EDT 2018 */
Chris@82 23
Chris@82 24 #include "rdft/codelet-rdft.h"
Chris@82 25
Chris@82 26 #if defined(ARCH_PREFERS_FMA) || defined(ISA_EXTENSION_PREFERS_FMA)
Chris@82 27
Chris@82 28 /* Generated by: ../../../genfft/gen_hc2c.native -fma -compact -variables 4 -pipeline-latency 4 -sign 1 -twiddle-log3 -precompute-twiddles -n 16 -dif -name hc2cb2_16 -include rdft/scalar/hc2cb.h */
Chris@82 29
Chris@82 30 /*
Chris@82 31 * This function contains 196 FP additions, 134 FP multiplications,
Chris@82 32 * (or, 104 additions, 42 multiplications, 92 fused multiply/add),
Chris@82 33 * 93 stack variables, 3 constants, and 64 memory accesses
Chris@82 34 */
Chris@82 35 #include "rdft/scalar/hc2cb.h"
Chris@82 36
Chris@82 37 static void hc2cb2_16(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@82 38 {
Chris@82 39 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@82 40 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@82 41 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
Chris@82 42 {
Chris@82 43 INT m;
Chris@82 44 for (m = mb, W = W + ((mb - 1) * 8); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 8, MAKE_VOLATILE_STRIDE(64, rs)) {
Chris@82 45 E Tv, Tw, T2z, T2C, TB, TF, Ty, Tz, T1V, TA, T2G, T3Q, T3C, T3g, T3L;
Chris@82 46 E T30, T3m, T3z, T3w, T3s, T1X, T1Y, T2u, T2c, T2p, TE, TG, T1G, T1o, T1D;
Chris@82 47 {
Chris@82 48 E T3f, T3l, T2F, T3r, T2Z, T3v, TD, Tx;
Chris@82 49 Tv = W[0];
Chris@82 50 Tw = W[2];
Chris@82 51 Tx = Tv * Tw;
Chris@82 52 T2z = W[6];
Chris@82 53 T3f = Tv * T2z;
Chris@82 54 T2C = W[7];
Chris@82 55 T3l = Tv * T2C;
Chris@82 56 TB = W[4];
Chris@82 57 T2F = Tv * TB;
Chris@82 58 T3r = Tw * TB;
Chris@82 59 TF = W[5];
Chris@82 60 T2Z = Tv * TF;
Chris@82 61 T3v = Tw * TF;
Chris@82 62 Ty = W[1];
Chris@82 63 Tz = W[3];
Chris@82 64 TD = Tv * Tz;
Chris@82 65 T1V = FMA(Ty, Tz, Tx);
Chris@82 66 TA = FNMS(Ty, Tz, Tx);
Chris@82 67 T2G = FNMS(Ty, TF, T2F);
Chris@82 68 T3Q = FMA(Tz, TB, T3v);
Chris@82 69 T3C = FNMS(Ty, TB, T2Z);
Chris@82 70 T3g = FMA(Ty, T2C, T3f);
Chris@82 71 T3L = FNMS(Tz, TF, T3r);
Chris@82 72 T30 = FMA(Ty, TB, T2Z);
Chris@82 73 T3m = FNMS(Ty, T2z, T3l);
Chris@82 74 T3z = FMA(Ty, TF, T2F);
Chris@82 75 T3w = FNMS(Tz, TB, T3v);
Chris@82 76 T3s = FMA(Tz, TF, T3r);
Chris@82 77 {
Chris@82 78 E T1W, T2b, TC, T1n;
Chris@82 79 T1W = T1V * TB;
Chris@82 80 T2b = T1V * TF;
Chris@82 81 T1X = FNMS(Ty, Tw, TD);
Chris@82 82 T1Y = FNMS(T1X, TF, T1W);
Chris@82 83 T2u = FNMS(T1X, TB, T2b);
Chris@82 84 T2c = FMA(T1X, TB, T2b);
Chris@82 85 T2p = FMA(T1X, TF, T1W);
Chris@82 86 TC = TA * TB;
Chris@82 87 T1n = TA * TF;
Chris@82 88 TE = FMA(Ty, Tw, TD);
Chris@82 89 TG = FNMS(TE, TF, TC);
Chris@82 90 T1G = FNMS(TE, TB, T1n);
Chris@82 91 T1o = FMA(TE, TB, T1n);
Chris@82 92 T1D = FMA(TE, TF, TC);
Chris@82 93 }
Chris@82 94 }
Chris@82 95 {
Chris@82 96 E TL, T1Z, T2d, T1t, T31, T34, T3n, T3D, T3E, T3R, T1w, T20, Tf, T3M, T2L;
Chris@82 97 E T3h, TW, T2e, T3G, T3H, T3N, T2Q, T36, T2V, T37, Tu, T3S, T18, T1z, T24;
Chris@82 98 E T2g, T27, T2h, T1j, T1y;
Chris@82 99 {
Chris@82 100 E T3, TH, T1s, T32, T6, T1p, TK, T33, Ta, TM, TP, T2J, Td, TR, TU;
Chris@82 101 E T2I;
Chris@82 102 {
Chris@82 103 E T1, T2, T1q, T1r;
Chris@82 104 T1 = Rp[0];
Chris@82 105 T2 = Rm[WS(rs, 7)];
Chris@82 106 T3 = T1 + T2;
Chris@82 107 TH = T1 - T2;
Chris@82 108 T1q = Ip[0];
Chris@82 109 T1r = Im[WS(rs, 7)];
Chris@82 110 T1s = T1q + T1r;
Chris@82 111 T32 = T1q - T1r;
Chris@82 112 }
Chris@82 113 {
Chris@82 114 E T4, T5, TI, TJ;
Chris@82 115 T4 = Rp[WS(rs, 4)];
Chris@82 116 T5 = Rm[WS(rs, 3)];
Chris@82 117 T6 = T4 + T5;
Chris@82 118 T1p = T4 - T5;
Chris@82 119 TI = Ip[WS(rs, 4)];
Chris@82 120 TJ = Im[WS(rs, 3)];
Chris@82 121 TK = TI + TJ;
Chris@82 122 T33 = TI - TJ;
Chris@82 123 }
Chris@82 124 {
Chris@82 125 E T8, T9, TN, TO;
Chris@82 126 T8 = Rp[WS(rs, 2)];
Chris@82 127 T9 = Rm[WS(rs, 5)];
Chris@82 128 Ta = T8 + T9;
Chris@82 129 TM = T8 - T9;
Chris@82 130 TN = Ip[WS(rs, 2)];
Chris@82 131 TO = Im[WS(rs, 5)];
Chris@82 132 TP = TN + TO;
Chris@82 133 T2J = TN - TO;
Chris@82 134 }
Chris@82 135 {
Chris@82 136 E Tb, Tc, TS, TT;
Chris@82 137 Tb = Rm[WS(rs, 1)];
Chris@82 138 Tc = Rp[WS(rs, 6)];
Chris@82 139 Td = Tb + Tc;
Chris@82 140 TR = Tb - Tc;
Chris@82 141 TS = Ip[WS(rs, 6)];
Chris@82 142 TT = Im[WS(rs, 1)];
Chris@82 143 TU = TS + TT;
Chris@82 144 T2I = TS - TT;
Chris@82 145 }
Chris@82 146 TL = TH - TK;
Chris@82 147 T1Z = TH + TK;
Chris@82 148 T2d = T1s - T1p;
Chris@82 149 T1t = T1p + T1s;
Chris@82 150 T31 = Ta - Td;
Chris@82 151 T34 = T32 - T33;
Chris@82 152 T3n = T34 - T31;
Chris@82 153 {
Chris@82 154 E T1u, T1v, T7, Te;
Chris@82 155 T3D = T32 + T33;
Chris@82 156 T3E = T2J + T2I;
Chris@82 157 T3R = T3D - T3E;
Chris@82 158 T1u = TM + TP;
Chris@82 159 T1v = TR + TU;
Chris@82 160 T1w = T1u - T1v;
Chris@82 161 T20 = T1u + T1v;
Chris@82 162 T7 = T3 + T6;
Chris@82 163 Te = Ta + Td;
Chris@82 164 Tf = T7 + Te;
Chris@82 165 T3M = T7 - Te;
Chris@82 166 {
Chris@82 167 E T2H, T2K, TQ, TV;
Chris@82 168 T2H = T3 - T6;
Chris@82 169 T2K = T2I - T2J;
Chris@82 170 T2L = T2H + T2K;
Chris@82 171 T3h = T2H - T2K;
Chris@82 172 TQ = TM - TP;
Chris@82 173 TV = TR - TU;
Chris@82 174 TW = TQ + TV;
Chris@82 175 T2e = TQ - TV;
Chris@82 176 }
Chris@82 177 }
Chris@82 178 }
Chris@82 179 {
Chris@82 180 E Ti, T1e, T1c, T2N, Tl, T19, T1h, T2O, Tp, T13, T11, T2S, Ts, TY, T16;
Chris@82 181 E T2T, T2M, T2P;
Chris@82 182 {
Chris@82 183 E Tg, Th, T1a, T1b;
Chris@82 184 Tg = Rp[WS(rs, 1)];
Chris@82 185 Th = Rm[WS(rs, 6)];
Chris@82 186 Ti = Tg + Th;
Chris@82 187 T1e = Tg - Th;
Chris@82 188 T1a = Ip[WS(rs, 1)];
Chris@82 189 T1b = Im[WS(rs, 6)];
Chris@82 190 T1c = T1a + T1b;
Chris@82 191 T2N = T1a - T1b;
Chris@82 192 }
Chris@82 193 {
Chris@82 194 E Tj, Tk, T1f, T1g;
Chris@82 195 Tj = Rp[WS(rs, 5)];
Chris@82 196 Tk = Rm[WS(rs, 2)];
Chris@82 197 Tl = Tj + Tk;
Chris@82 198 T19 = Tj - Tk;
Chris@82 199 T1f = Ip[WS(rs, 5)];
Chris@82 200 T1g = Im[WS(rs, 2)];
Chris@82 201 T1h = T1f + T1g;
Chris@82 202 T2O = T1f - T1g;
Chris@82 203 }
Chris@82 204 {
Chris@82 205 E Tn, To, TZ, T10;
Chris@82 206 Tn = Rm[0];
Chris@82 207 To = Rp[WS(rs, 7)];
Chris@82 208 Tp = Tn + To;
Chris@82 209 T13 = Tn - To;
Chris@82 210 TZ = Ip[WS(rs, 7)];
Chris@82 211 T10 = Im[0];
Chris@82 212 T11 = TZ + T10;
Chris@82 213 T2S = TZ - T10;
Chris@82 214 }
Chris@82 215 {
Chris@82 216 E Tq, Tr, T14, T15;
Chris@82 217 Tq = Rp[WS(rs, 3)];
Chris@82 218 Tr = Rm[WS(rs, 4)];
Chris@82 219 Ts = Tq + Tr;
Chris@82 220 TY = Tq - Tr;
Chris@82 221 T14 = Ip[WS(rs, 3)];
Chris@82 222 T15 = Im[WS(rs, 4)];
Chris@82 223 T16 = T14 + T15;
Chris@82 224 T2T = T14 - T15;
Chris@82 225 }
Chris@82 226 T3G = T2N + T2O;
Chris@82 227 T3H = T2S + T2T;
Chris@82 228 T3N = T3H - T3G;
Chris@82 229 T2M = Ti - Tl;
Chris@82 230 T2P = T2N - T2O;
Chris@82 231 T2Q = T2M - T2P;
Chris@82 232 T36 = T2M + T2P;
Chris@82 233 {
Chris@82 234 E T2R, T2U, Tm, Tt;
Chris@82 235 T2R = Tp - Ts;
Chris@82 236 T2U = T2S - T2T;
Chris@82 237 T2V = T2R + T2U;
Chris@82 238 T37 = T2U - T2R;
Chris@82 239 Tm = Ti + Tl;
Chris@82 240 Tt = Tp + Ts;
Chris@82 241 Tu = Tm + Tt;
Chris@82 242 T3S = Tm - Tt;
Chris@82 243 }
Chris@82 244 {
Chris@82 245 E T12, T17, T22, T23;
Chris@82 246 T12 = TY - T11;
Chris@82 247 T17 = T13 - T16;
Chris@82 248 T18 = FNMS(KP414213562, T17, T12);
Chris@82 249 T1z = FMA(KP414213562, T12, T17);
Chris@82 250 T22 = T1c - T19;
Chris@82 251 T23 = T1e + T1h;
Chris@82 252 T24 = FNMS(KP414213562, T23, T22);
Chris@82 253 T2g = FMA(KP414213562, T22, T23);
Chris@82 254 }
Chris@82 255 {
Chris@82 256 E T25, T26, T1d, T1i;
Chris@82 257 T25 = TY + T11;
Chris@82 258 T26 = T13 + T16;
Chris@82 259 T27 = FNMS(KP414213562, T26, T25);
Chris@82 260 T2h = FMA(KP414213562, T25, T26);
Chris@82 261 T1d = T19 + T1c;
Chris@82 262 T1i = T1e - T1h;
Chris@82 263 T1j = FMA(KP414213562, T1i, T1d);
Chris@82 264 T1y = FNMS(KP414213562, T1d, T1i);
Chris@82 265 }
Chris@82 266 }
Chris@82 267 Rp[0] = Tf + Tu;
Chris@82 268 {
Chris@82 269 E T3B, T3K, T3F, T3I, T3J, T3A;
Chris@82 270 T3A = Tf - Tu;
Chris@82 271 T3B = T3z * T3A;
Chris@82 272 T3K = T3C * T3A;
Chris@82 273 T3F = T3D + T3E;
Chris@82 274 T3I = T3G + T3H;
Chris@82 275 T3J = T3F - T3I;
Chris@82 276 Rm[0] = T3F + T3I;
Chris@82 277 Rm[WS(rs, 4)] = FMA(T3z, T3J, T3K);
Chris@82 278 Rp[WS(rs, 4)] = FNMS(T3C, T3J, T3B);
Chris@82 279 }
Chris@82 280 {
Chris@82 281 E T3O, T3P, T3T, T3U;
Chris@82 282 T3O = T3M - T3N;
Chris@82 283 T3P = T3L * T3O;
Chris@82 284 T3T = T3R - T3S;
Chris@82 285 T3U = T3L * T3T;
Chris@82 286 Rp[WS(rs, 6)] = FNMS(T3Q, T3T, T3P);
Chris@82 287 Rm[WS(rs, 6)] = FMA(T3Q, T3O, T3U);
Chris@82 288 }
Chris@82 289 {
Chris@82 290 E T3V, T3W, T3X, T3Y;
Chris@82 291 T3V = T3M + T3N;
Chris@82 292 T3W = TA * T3V;
Chris@82 293 T3X = T3S + T3R;
Chris@82 294 T3Y = TA * T3X;
Chris@82 295 Rp[WS(rs, 2)] = FNMS(TE, T3X, T3W);
Chris@82 296 Rm[WS(rs, 2)] = FMA(TE, T3V, T3Y);
Chris@82 297 }
Chris@82 298 {
Chris@82 299 E T3j, T3t, T3p, T3x, T3i, T3o;
Chris@82 300 T3i = T37 - T36;
Chris@82 301 T3j = FNMS(KP707106781, T3i, T3h);
Chris@82 302 T3t = FMA(KP707106781, T3i, T3h);
Chris@82 303 T3o = T2Q - T2V;
Chris@82 304 T3p = FNMS(KP707106781, T3o, T3n);
Chris@82 305 T3x = FMA(KP707106781, T3o, T3n);
Chris@82 306 {
Chris@82 307 E T3k, T3q, T3u, T3y;
Chris@82 308 T3k = T3g * T3j;
Chris@82 309 Rp[WS(rs, 7)] = FNMS(T3m, T3p, T3k);
Chris@82 310 T3q = T3g * T3p;
Chris@82 311 Rm[WS(rs, 7)] = FMA(T3m, T3j, T3q);
Chris@82 312 T3u = T3s * T3t;
Chris@82 313 Rp[WS(rs, 3)] = FNMS(T3w, T3x, T3u);
Chris@82 314 T3y = T3s * T3x;
Chris@82 315 Rm[WS(rs, 3)] = FMA(T3w, T3t, T3y);
Chris@82 316 }
Chris@82 317 }
Chris@82 318 {
Chris@82 319 E T2X, T3b, T39, T3d, T2W, T35, T38;
Chris@82 320 T2W = T2Q + T2V;
Chris@82 321 T2X = FNMS(KP707106781, T2W, T2L);
Chris@82 322 T3b = FMA(KP707106781, T2W, T2L);
Chris@82 323 T35 = T31 + T34;
Chris@82 324 T38 = T36 + T37;
Chris@82 325 T39 = FNMS(KP707106781, T38, T35);
Chris@82 326 T3d = FMA(KP707106781, T38, T35);
Chris@82 327 {
Chris@82 328 E T2Y, T3a, T3c, T3e;
Chris@82 329 T2Y = T2G * T2X;
Chris@82 330 Rp[WS(rs, 5)] = FNMS(T30, T39, T2Y);
Chris@82 331 T3a = T30 * T2X;
Chris@82 332 Rm[WS(rs, 5)] = FMA(T2G, T39, T3a);
Chris@82 333 T3c = T1V * T3b;
Chris@82 334 Rp[WS(rs, 1)] = FNMS(T1X, T3d, T3c);
Chris@82 335 T3e = T1X * T3b;
Chris@82 336 Rm[WS(rs, 1)] = FMA(T1V, T3d, T3e);
Chris@82 337 }
Chris@82 338 }
Chris@82 339 {
Chris@82 340 E T29, T2l, T2j, T2n;
Chris@82 341 {
Chris@82 342 E T21, T28, T2f, T2i;
Chris@82 343 T21 = FNMS(KP707106781, T20, T1Z);
Chris@82 344 T28 = T24 + T27;
Chris@82 345 T29 = FMA(KP923879532, T28, T21);
Chris@82 346 T2l = FNMS(KP923879532, T28, T21);
Chris@82 347 T2f = FMA(KP707106781, T2e, T2d);
Chris@82 348 T2i = T2g - T2h;
Chris@82 349 T2j = FNMS(KP923879532, T2i, T2f);
Chris@82 350 T2n = FMA(KP923879532, T2i, T2f);
Chris@82 351 }
Chris@82 352 {
Chris@82 353 E T2a, T2k, T2m, T2o;
Chris@82 354 T2a = T1Y * T29;
Chris@82 355 Ip[WS(rs, 5)] = FNMS(T2c, T2j, T2a);
Chris@82 356 T2k = T2c * T29;
Chris@82 357 Im[WS(rs, 5)] = FMA(T1Y, T2j, T2k);
Chris@82 358 T2m = Tw * T2l;
Chris@82 359 Ip[WS(rs, 1)] = FNMS(Tz, T2n, T2m);
Chris@82 360 T2o = Tz * T2l;
Chris@82 361 Im[WS(rs, 1)] = FMA(Tw, T2n, T2o);
Chris@82 362 }
Chris@82 363 }
Chris@82 364 {
Chris@82 365 E T1l, T1E, T1B, T1H;
Chris@82 366 {
Chris@82 367 E TX, T1k, T1x, T1A;
Chris@82 368 TX = FNMS(KP707106781, TW, TL);
Chris@82 369 T1k = T18 - T1j;
Chris@82 370 T1l = FNMS(KP923879532, T1k, TX);
Chris@82 371 T1E = FMA(KP923879532, T1k, TX);
Chris@82 372 T1x = FNMS(KP707106781, T1w, T1t);
Chris@82 373 T1A = T1y - T1z;
Chris@82 374 T1B = FNMS(KP923879532, T1A, T1x);
Chris@82 375 T1H = FMA(KP923879532, T1A, T1x);
Chris@82 376 }
Chris@82 377 {
Chris@82 378 E T1m, T1C, T1F, T1I;
Chris@82 379 T1m = TG * T1l;
Chris@82 380 Ip[WS(rs, 6)] = FNMS(T1o, T1B, T1m);
Chris@82 381 T1C = T1o * T1l;
Chris@82 382 Im[WS(rs, 6)] = FMA(TG, T1B, T1C);
Chris@82 383 T1F = T1D * T1E;
Chris@82 384 Ip[WS(rs, 2)] = FNMS(T1G, T1H, T1F);
Chris@82 385 T1I = T1G * T1E;
Chris@82 386 Im[WS(rs, 2)] = FMA(T1D, T1H, T1I);
Chris@82 387 }
Chris@82 388 }
Chris@82 389 {
Chris@82 390 E T2s, T2A, T2x, T2D;
Chris@82 391 {
Chris@82 392 E T2q, T2r, T2v, T2w;
Chris@82 393 T2q = FMA(KP707106781, T20, T1Z);
Chris@82 394 T2r = T2g + T2h;
Chris@82 395 T2s = FNMS(KP923879532, T2r, T2q);
Chris@82 396 T2A = FMA(KP923879532, T2r, T2q);
Chris@82 397 T2v = FNMS(KP707106781, T2e, T2d);
Chris@82 398 T2w = T27 - T24;
Chris@82 399 T2x = FMA(KP923879532, T2w, T2v);
Chris@82 400 T2D = FNMS(KP923879532, T2w, T2v);
Chris@82 401 }
Chris@82 402 {
Chris@82 403 E T2t, T2y, T2B, T2E;
Chris@82 404 T2t = T2p * T2s;
Chris@82 405 Ip[WS(rs, 3)] = FNMS(T2u, T2x, T2t);
Chris@82 406 T2y = T2p * T2x;
Chris@82 407 Im[WS(rs, 3)] = FMA(T2u, T2s, T2y);
Chris@82 408 T2B = T2z * T2A;
Chris@82 409 Ip[WS(rs, 7)] = FNMS(T2C, T2D, T2B);
Chris@82 410 T2E = T2z * T2D;
Chris@82 411 Im[WS(rs, 7)] = FMA(T2C, T2A, T2E);
Chris@82 412 }
Chris@82 413 }
Chris@82 414 {
Chris@82 415 E T1L, T1R, T1P, T1T;
Chris@82 416 {
Chris@82 417 E T1J, T1K, T1N, T1O;
Chris@82 418 T1J = FMA(KP707106781, TW, TL);
Chris@82 419 T1K = T1y + T1z;
Chris@82 420 T1L = FNMS(KP923879532, T1K, T1J);
Chris@82 421 T1R = FMA(KP923879532, T1K, T1J);
Chris@82 422 T1N = FMA(KP707106781, T1w, T1t);
Chris@82 423 T1O = T1j + T18;
Chris@82 424 T1P = FNMS(KP923879532, T1O, T1N);
Chris@82 425 T1T = FMA(KP923879532, T1O, T1N);
Chris@82 426 }
Chris@82 427 {
Chris@82 428 E T1M, T1Q, T1S, T1U;
Chris@82 429 T1M = TB * T1L;
Chris@82 430 Ip[WS(rs, 4)] = FNMS(TF, T1P, T1M);
Chris@82 431 T1Q = TB * T1P;
Chris@82 432 Im[WS(rs, 4)] = FMA(TF, T1L, T1Q);
Chris@82 433 T1S = Tv * T1R;
Chris@82 434 Ip[0] = FNMS(Ty, T1T, T1S);
Chris@82 435 T1U = Tv * T1T;
Chris@82 436 Im[0] = FMA(Ty, T1R, T1U);
Chris@82 437 }
Chris@82 438 }
Chris@82 439 }
Chris@82 440 }
Chris@82 441 }
Chris@82 442 }
Chris@82 443
Chris@82 444 static const tw_instr twinstr[] = {
Chris@82 445 {TW_CEXP, 1, 1},
Chris@82 446 {TW_CEXP, 1, 3},
Chris@82 447 {TW_CEXP, 1, 9},
Chris@82 448 {TW_CEXP, 1, 15},
Chris@82 449 {TW_NEXT, 1, 0}
Chris@82 450 };
Chris@82 451
Chris@82 452 static const hc2c_desc desc = { 16, "hc2cb2_16", twinstr, &GENUS, {104, 42, 92, 0} };
Chris@82 453
Chris@82 454 void X(codelet_hc2cb2_16) (planner *p) {
Chris@82 455 X(khc2c_register) (p, hc2cb2_16, &desc, HC2C_VIA_RDFT);
Chris@82 456 }
Chris@82 457 #else
Chris@82 458
Chris@82 459 /* Generated by: ../../../genfft/gen_hc2c.native -compact -variables 4 -pipeline-latency 4 -sign 1 -twiddle-log3 -precompute-twiddles -n 16 -dif -name hc2cb2_16 -include rdft/scalar/hc2cb.h */
Chris@82 460
Chris@82 461 /*
Chris@82 462 * This function contains 196 FP additions, 108 FP multiplications,
Chris@82 463 * (or, 156 additions, 68 multiplications, 40 fused multiply/add),
Chris@82 464 * 80 stack variables, 3 constants, and 64 memory accesses
Chris@82 465 */
Chris@82 466 #include "rdft/scalar/hc2cb.h"
Chris@82 467
Chris@82 468 static void hc2cb2_16(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@82 469 {
Chris@82 470 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
Chris@82 471 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@82 472 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@82 473 {
Chris@82 474 INT m;
Chris@82 475 for (m = mb, W = W + ((mb - 1) * 8); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 8, MAKE_VOLATILE_STRIDE(64, rs)) {
Chris@82 476 E Tv, Ty, T1l, T1n, T1p, T1t, T27, T25, Tz, Tw, TB, T21, T1P, T1H, T1X;
Chris@82 477 E T17, T1L, T1N, T1v, T1w, T1x, T1B, T2F, T2T, T2b, T2R, T3j, T3x, T35, T3t;
Chris@82 478 {
Chris@82 479 E TA, T1J, T15, T1G, Tx, T1K, T16, T1F;
Chris@82 480 {
Chris@82 481 E T1m, T1s, T1o, T1r;
Chris@82 482 Tv = W[0];
Chris@82 483 Ty = W[1];
Chris@82 484 T1l = W[2];
Chris@82 485 T1n = W[3];
Chris@82 486 T1m = Tv * T1l;
Chris@82 487 T1s = Ty * T1l;
Chris@82 488 T1o = Ty * T1n;
Chris@82 489 T1r = Tv * T1n;
Chris@82 490 T1p = T1m + T1o;
Chris@82 491 T1t = T1r - T1s;
Chris@82 492 T27 = T1r + T1s;
Chris@82 493 T25 = T1m - T1o;
Chris@82 494 Tz = W[5];
Chris@82 495 TA = Ty * Tz;
Chris@82 496 T1J = T1l * Tz;
Chris@82 497 T15 = Tv * Tz;
Chris@82 498 T1G = T1n * Tz;
Chris@82 499 Tw = W[4];
Chris@82 500 Tx = Tv * Tw;
Chris@82 501 T1K = T1n * Tw;
Chris@82 502 T16 = Ty * Tw;
Chris@82 503 T1F = T1l * Tw;
Chris@82 504 }
Chris@82 505 TB = Tx - TA;
Chris@82 506 T21 = T1J + T1K;
Chris@82 507 T1P = T15 - T16;
Chris@82 508 T1H = T1F + T1G;
Chris@82 509 T1X = T1F - T1G;
Chris@82 510 T17 = T15 + T16;
Chris@82 511 T1L = T1J - T1K;
Chris@82 512 T1N = Tx + TA;
Chris@82 513 T1v = W[6];
Chris@82 514 T1w = W[7];
Chris@82 515 T1x = FMA(Tv, T1v, Ty * T1w);
Chris@82 516 T1B = FNMS(Ty, T1v, Tv * T1w);
Chris@82 517 {
Chris@82 518 E T2D, T2E, T29, T2a;
Chris@82 519 T2D = T25 * Tz;
Chris@82 520 T2E = T27 * Tw;
Chris@82 521 T2F = T2D + T2E;
Chris@82 522 T2T = T2D - T2E;
Chris@82 523 T29 = T25 * Tw;
Chris@82 524 T2a = T27 * Tz;
Chris@82 525 T2b = T29 - T2a;
Chris@82 526 T2R = T29 + T2a;
Chris@82 527 }
Chris@82 528 {
Chris@82 529 E T3h, T3i, T33, T34;
Chris@82 530 T3h = T1p * Tz;
Chris@82 531 T3i = T1t * Tw;
Chris@82 532 T3j = T3h + T3i;
Chris@82 533 T3x = T3h - T3i;
Chris@82 534 T33 = T1p * Tw;
Chris@82 535 T34 = T1t * Tz;
Chris@82 536 T35 = T33 - T34;
Chris@82 537 T3t = T33 + T34;
Chris@82 538 }
Chris@82 539 }
Chris@82 540 {
Chris@82 541 E T7, T36, T3k, TC, T1f, T2e, T2I, T1Q, Te, TJ, T1R, T18, T2L, T37, T2l;
Chris@82 542 E T3l, Tm, T1T, TT, T1h, T2A, T2N, T3b, T3n, Tt, T1U, T12, T1i, T2t, T2O;
Chris@82 543 E T3e, T3o;
Chris@82 544 {
Chris@82 545 E T3, T2c, T1b, T2H, T6, T2G, T1e, T2d;
Chris@82 546 {
Chris@82 547 E T1, T2, T19, T1a;
Chris@82 548 T1 = Rp[0];
Chris@82 549 T2 = Rm[WS(rs, 7)];
Chris@82 550 T3 = T1 + T2;
Chris@82 551 T2c = T1 - T2;
Chris@82 552 T19 = Ip[0];
Chris@82 553 T1a = Im[WS(rs, 7)];
Chris@82 554 T1b = T19 - T1a;
Chris@82 555 T2H = T19 + T1a;
Chris@82 556 }
Chris@82 557 {
Chris@82 558 E T4, T5, T1c, T1d;
Chris@82 559 T4 = Rp[WS(rs, 4)];
Chris@82 560 T5 = Rm[WS(rs, 3)];
Chris@82 561 T6 = T4 + T5;
Chris@82 562 T2G = T4 - T5;
Chris@82 563 T1c = Ip[WS(rs, 4)];
Chris@82 564 T1d = Im[WS(rs, 3)];
Chris@82 565 T1e = T1c - T1d;
Chris@82 566 T2d = T1c + T1d;
Chris@82 567 }
Chris@82 568 T7 = T3 + T6;
Chris@82 569 T36 = T2c + T2d;
Chris@82 570 T3k = T2H - T2G;
Chris@82 571 TC = T3 - T6;
Chris@82 572 T1f = T1b - T1e;
Chris@82 573 T2e = T2c - T2d;
Chris@82 574 T2I = T2G + T2H;
Chris@82 575 T1Q = T1b + T1e;
Chris@82 576 }
Chris@82 577 {
Chris@82 578 E Ta, T2f, TI, T2g, Td, T2i, TF, T2j;
Chris@82 579 {
Chris@82 580 E T8, T9, TG, TH;
Chris@82 581 T8 = Rp[WS(rs, 2)];
Chris@82 582 T9 = Rm[WS(rs, 5)];
Chris@82 583 Ta = T8 + T9;
Chris@82 584 T2f = T8 - T9;
Chris@82 585 TG = Ip[WS(rs, 2)];
Chris@82 586 TH = Im[WS(rs, 5)];
Chris@82 587 TI = TG - TH;
Chris@82 588 T2g = TG + TH;
Chris@82 589 }
Chris@82 590 {
Chris@82 591 E Tb, Tc, TD, TE;
Chris@82 592 Tb = Rm[WS(rs, 1)];
Chris@82 593 Tc = Rp[WS(rs, 6)];
Chris@82 594 Td = Tb + Tc;
Chris@82 595 T2i = Tb - Tc;
Chris@82 596 TD = Ip[WS(rs, 6)];
Chris@82 597 TE = Im[WS(rs, 1)];
Chris@82 598 TF = TD - TE;
Chris@82 599 T2j = TD + TE;
Chris@82 600 }
Chris@82 601 Te = Ta + Td;
Chris@82 602 TJ = TF - TI;
Chris@82 603 T1R = TI + TF;
Chris@82 604 T18 = Ta - Td;
Chris@82 605 {
Chris@82 606 E T2J, T2K, T2h, T2k;
Chris@82 607 T2J = T2f + T2g;
Chris@82 608 T2K = T2i + T2j;
Chris@82 609 T2L = KP707106781 * (T2J - T2K);
Chris@82 610 T37 = KP707106781 * (T2J + T2K);
Chris@82 611 T2h = T2f - T2g;
Chris@82 612 T2k = T2i - T2j;
Chris@82 613 T2l = KP707106781 * (T2h + T2k);
Chris@82 614 T3l = KP707106781 * (T2h - T2k);
Chris@82 615 }
Chris@82 616 }
Chris@82 617 {
Chris@82 618 E Ti, T2x, TO, T2v, Tl, T2u, TR, T2y, TL, TS;
Chris@82 619 {
Chris@82 620 E Tg, Th, TM, TN;
Chris@82 621 Tg = Rp[WS(rs, 1)];
Chris@82 622 Th = Rm[WS(rs, 6)];
Chris@82 623 Ti = Tg + Th;
Chris@82 624 T2x = Tg - Th;
Chris@82 625 TM = Ip[WS(rs, 1)];
Chris@82 626 TN = Im[WS(rs, 6)];
Chris@82 627 TO = TM - TN;
Chris@82 628 T2v = TM + TN;
Chris@82 629 }
Chris@82 630 {
Chris@82 631 E Tj, Tk, TP, TQ;
Chris@82 632 Tj = Rp[WS(rs, 5)];
Chris@82 633 Tk = Rm[WS(rs, 2)];
Chris@82 634 Tl = Tj + Tk;
Chris@82 635 T2u = Tj - Tk;
Chris@82 636 TP = Ip[WS(rs, 5)];
Chris@82 637 TQ = Im[WS(rs, 2)];
Chris@82 638 TR = TP - TQ;
Chris@82 639 T2y = TP + TQ;
Chris@82 640 }
Chris@82 641 Tm = Ti + Tl;
Chris@82 642 T1T = TO + TR;
Chris@82 643 TL = Ti - Tl;
Chris@82 644 TS = TO - TR;
Chris@82 645 TT = TL - TS;
Chris@82 646 T1h = TL + TS;
Chris@82 647 {
Chris@82 648 E T2w, T2z, T39, T3a;
Chris@82 649 T2w = T2u + T2v;
Chris@82 650 T2z = T2x - T2y;
Chris@82 651 T2A = FMA(KP923879532, T2w, KP382683432 * T2z);
Chris@82 652 T2N = FNMS(KP382683432, T2w, KP923879532 * T2z);
Chris@82 653 T39 = T2x + T2y;
Chris@82 654 T3a = T2v - T2u;
Chris@82 655 T3b = FNMS(KP923879532, T3a, KP382683432 * T39);
Chris@82 656 T3n = FMA(KP382683432, T3a, KP923879532 * T39);
Chris@82 657 }
Chris@82 658 }
Chris@82 659 {
Chris@82 660 E Tp, T2q, TX, T2o, Ts, T2n, T10, T2r, TU, T11;
Chris@82 661 {
Chris@82 662 E Tn, To, TV, TW;
Chris@82 663 Tn = Rm[0];
Chris@82 664 To = Rp[WS(rs, 7)];
Chris@82 665 Tp = Tn + To;
Chris@82 666 T2q = Tn - To;
Chris@82 667 TV = Ip[WS(rs, 7)];
Chris@82 668 TW = Im[0];
Chris@82 669 TX = TV - TW;
Chris@82 670 T2o = TV + TW;
Chris@82 671 }
Chris@82 672 {
Chris@82 673 E Tq, Tr, TY, TZ;
Chris@82 674 Tq = Rp[WS(rs, 3)];
Chris@82 675 Tr = Rm[WS(rs, 4)];
Chris@82 676 Ts = Tq + Tr;
Chris@82 677 T2n = Tq - Tr;
Chris@82 678 TY = Ip[WS(rs, 3)];
Chris@82 679 TZ = Im[WS(rs, 4)];
Chris@82 680 T10 = TY - TZ;
Chris@82 681 T2r = TY + TZ;
Chris@82 682 }
Chris@82 683 Tt = Tp + Ts;
Chris@82 684 T1U = TX + T10;
Chris@82 685 TU = Tp - Ts;
Chris@82 686 T11 = TX - T10;
Chris@82 687 T12 = TU + T11;
Chris@82 688 T1i = T11 - TU;
Chris@82 689 {
Chris@82 690 E T2p, T2s, T3c, T3d;
Chris@82 691 T2p = T2n - T2o;
Chris@82 692 T2s = T2q - T2r;
Chris@82 693 T2t = FNMS(KP382683432, T2s, KP923879532 * T2p);
Chris@82 694 T2O = FMA(KP382683432, T2p, KP923879532 * T2s);
Chris@82 695 T3c = T2q + T2r;
Chris@82 696 T3d = T2n + T2o;
Chris@82 697 T3e = FNMS(KP923879532, T3d, KP382683432 * T3c);
Chris@82 698 T3o = FMA(KP382683432, T3d, KP923879532 * T3c);
Chris@82 699 }
Chris@82 700 }
Chris@82 701 {
Chris@82 702 E Tf, Tu, T1O, T1S, T1V, T1W;
Chris@82 703 Tf = T7 + Te;
Chris@82 704 Tu = Tm + Tt;
Chris@82 705 T1O = Tf - Tu;
Chris@82 706 T1S = T1Q + T1R;
Chris@82 707 T1V = T1T + T1U;
Chris@82 708 T1W = T1S - T1V;
Chris@82 709 Rp[0] = Tf + Tu;
Chris@82 710 Rm[0] = T1S + T1V;
Chris@82 711 Rp[WS(rs, 4)] = FNMS(T1P, T1W, T1N * T1O);
Chris@82 712 Rm[WS(rs, 4)] = FMA(T1P, T1O, T1N * T1W);
Chris@82 713 }
Chris@82 714 {
Chris@82 715 E T3g, T3r, T3q, T3s;
Chris@82 716 {
Chris@82 717 E T38, T3f, T3m, T3p;
Chris@82 718 T38 = T36 - T37;
Chris@82 719 T3f = T3b + T3e;
Chris@82 720 T3g = T38 - T3f;
Chris@82 721 T3r = T38 + T3f;
Chris@82 722 T3m = T3k + T3l;
Chris@82 723 T3p = T3n - T3o;
Chris@82 724 T3q = T3m - T3p;
Chris@82 725 T3s = T3m + T3p;
Chris@82 726 }
Chris@82 727 Ip[WS(rs, 5)] = FNMS(T3j, T3q, T35 * T3g);
Chris@82 728 Im[WS(rs, 5)] = FMA(T3j, T3g, T35 * T3q);
Chris@82 729 Ip[WS(rs, 1)] = FNMS(T1n, T3s, T1l * T3r);
Chris@82 730 Im[WS(rs, 1)] = FMA(T1n, T3r, T1l * T3s);
Chris@82 731 }
Chris@82 732 {
Chris@82 733 E T3w, T3B, T3A, T3C;
Chris@82 734 {
Chris@82 735 E T3u, T3v, T3y, T3z;
Chris@82 736 T3u = T36 + T37;
Chris@82 737 T3v = T3n + T3o;
Chris@82 738 T3w = T3u - T3v;
Chris@82 739 T3B = T3u + T3v;
Chris@82 740 T3y = T3k - T3l;
Chris@82 741 T3z = T3b - T3e;
Chris@82 742 T3A = T3y + T3z;
Chris@82 743 T3C = T3y - T3z;
Chris@82 744 }
Chris@82 745 Ip[WS(rs, 3)] = FNMS(T3x, T3A, T3t * T3w);
Chris@82 746 Im[WS(rs, 3)] = FMA(T3t, T3A, T3x * T3w);
Chris@82 747 Ip[WS(rs, 7)] = FNMS(T1w, T3C, T1v * T3B);
Chris@82 748 Im[WS(rs, 7)] = FMA(T1v, T3C, T1w * T3B);
Chris@82 749 }
Chris@82 750 {
Chris@82 751 E T14, T1q, T1k, T1u;
Chris@82 752 {
Chris@82 753 E TK, T13, T1g, T1j;
Chris@82 754 TK = TC + TJ;
Chris@82 755 T13 = KP707106781 * (TT + T12);
Chris@82 756 T14 = TK - T13;
Chris@82 757 T1q = TK + T13;
Chris@82 758 T1g = T18 + T1f;
Chris@82 759 T1j = KP707106781 * (T1h + T1i);
Chris@82 760 T1k = T1g - T1j;
Chris@82 761 T1u = T1g + T1j;
Chris@82 762 }
Chris@82 763 Rp[WS(rs, 5)] = FNMS(T17, T1k, TB * T14);
Chris@82 764 Rm[WS(rs, 5)] = FMA(T17, T14, TB * T1k);
Chris@82 765 Rp[WS(rs, 1)] = FNMS(T1t, T1u, T1p * T1q);
Chris@82 766 Rm[WS(rs, 1)] = FMA(T1t, T1q, T1p * T1u);
Chris@82 767 }
Chris@82 768 {
Chris@82 769 E T1A, T1I, T1E, T1M;
Chris@82 770 {
Chris@82 771 E T1y, T1z, T1C, T1D;
Chris@82 772 T1y = TC - TJ;
Chris@82 773 T1z = KP707106781 * (T1i - T1h);
Chris@82 774 T1A = T1y - T1z;
Chris@82 775 T1I = T1y + T1z;
Chris@82 776 T1C = T1f - T18;
Chris@82 777 T1D = KP707106781 * (TT - T12);
Chris@82 778 T1E = T1C - T1D;
Chris@82 779 T1M = T1C + T1D;
Chris@82 780 }
Chris@82 781 Rp[WS(rs, 7)] = FNMS(T1B, T1E, T1x * T1A);
Chris@82 782 Rm[WS(rs, 7)] = FMA(T1x, T1E, T1B * T1A);
Chris@82 783 Rp[WS(rs, 3)] = FNMS(T1L, T1M, T1H * T1I);
Chris@82 784 Rm[WS(rs, 3)] = FMA(T1H, T1M, T1L * T1I);
Chris@82 785 }
Chris@82 786 {
Chris@82 787 E T2C, T2S, T2Q, T2U;
Chris@82 788 {
Chris@82 789 E T2m, T2B, T2M, T2P;
Chris@82 790 T2m = T2e - T2l;
Chris@82 791 T2B = T2t - T2A;
Chris@82 792 T2C = T2m - T2B;
Chris@82 793 T2S = T2m + T2B;
Chris@82 794 T2M = T2I - T2L;
Chris@82 795 T2P = T2N - T2O;
Chris@82 796 T2Q = T2M - T2P;
Chris@82 797 T2U = T2M + T2P;
Chris@82 798 }
Chris@82 799 Ip[WS(rs, 6)] = FNMS(T2F, T2Q, T2b * T2C);
Chris@82 800 Im[WS(rs, 6)] = FMA(T2F, T2C, T2b * T2Q);
Chris@82 801 Ip[WS(rs, 2)] = FNMS(T2T, T2U, T2R * T2S);
Chris@82 802 Im[WS(rs, 2)] = FMA(T2T, T2S, T2R * T2U);
Chris@82 803 }
Chris@82 804 {
Chris@82 805 E T2X, T31, T30, T32;
Chris@82 806 {
Chris@82 807 E T2V, T2W, T2Y, T2Z;
Chris@82 808 T2V = T2e + T2l;
Chris@82 809 T2W = T2N + T2O;
Chris@82 810 T2X = T2V - T2W;
Chris@82 811 T31 = T2V + T2W;
Chris@82 812 T2Y = T2I + T2L;
Chris@82 813 T2Z = T2A + T2t;
Chris@82 814 T30 = T2Y - T2Z;
Chris@82 815 T32 = T2Y + T2Z;
Chris@82 816 }
Chris@82 817 Ip[WS(rs, 4)] = FNMS(Tz, T30, Tw * T2X);
Chris@82 818 Im[WS(rs, 4)] = FMA(Tw, T30, Tz * T2X);
Chris@82 819 Ip[0] = FNMS(Ty, T32, Tv * T31);
Chris@82 820 Im[0] = FMA(Tv, T32, Ty * T31);
Chris@82 821 }
Chris@82 822 {
Chris@82 823 E T20, T26, T24, T28;
Chris@82 824 {
Chris@82 825 E T1Y, T1Z, T22, T23;
Chris@82 826 T1Y = T7 - Te;
Chris@82 827 T1Z = T1U - T1T;
Chris@82 828 T20 = T1Y - T1Z;
Chris@82 829 T26 = T1Y + T1Z;
Chris@82 830 T22 = T1Q - T1R;
Chris@82 831 T23 = Tm - Tt;
Chris@82 832 T24 = T22 - T23;
Chris@82 833 T28 = T23 + T22;
Chris@82 834 }
Chris@82 835 Rp[WS(rs, 6)] = FNMS(T21, T24, T1X * T20);
Chris@82 836 Rm[WS(rs, 6)] = FMA(T1X, T24, T21 * T20);
Chris@82 837 Rp[WS(rs, 2)] = FNMS(T27, T28, T25 * T26);
Chris@82 838 Rm[WS(rs, 2)] = FMA(T25, T28, T27 * T26);
Chris@82 839 }
Chris@82 840 }
Chris@82 841 }
Chris@82 842 }
Chris@82 843 }
Chris@82 844
Chris@82 845 static const tw_instr twinstr[] = {
Chris@82 846 {TW_CEXP, 1, 1},
Chris@82 847 {TW_CEXP, 1, 3},
Chris@82 848 {TW_CEXP, 1, 9},
Chris@82 849 {TW_CEXP, 1, 15},
Chris@82 850 {TW_NEXT, 1, 0}
Chris@82 851 };
Chris@82 852
Chris@82 853 static const hc2c_desc desc = { 16, "hc2cb2_16", twinstr, &GENUS, {156, 68, 40, 0} };
Chris@82 854
Chris@82 855 void X(codelet_hc2cb2_16) (planner *p) {
Chris@82 856 X(khc2c_register) (p, hc2cb2_16, &desc, HC2C_VIA_RDFT);
Chris@82 857 }
Chris@82 858 #endif