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annotate src/fftw-3.3.5/rdft/scalar/r2cb/hb2_16.c @ 56:af97cad61ff0

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Add updated build of PortAudio for OSX
author Chris Cannam <cannam@all-day-breakfast.com>
date Tue, 03 Jan 2017 15:10:52 +0000
parents 2cd0e3b3e1fd
children
rev   line source
Chris@42 1 /*
Chris@42 2 * Copyright (c) 2003, 2007-14 Matteo Frigo
Chris@42 3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
Chris@42 4 *
Chris@42 5 * This program is free software; you can redistribute it and/or modify
Chris@42 6 * it under the terms of the GNU General Public License as published by
Chris@42 7 * the Free Software Foundation; either version 2 of the License, or
Chris@42 8 * (at your option) any later version.
Chris@42 9 *
Chris@42 10 * This program is distributed in the hope that it will be useful,
Chris@42 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
Chris@42 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
Chris@42 13 * GNU General Public License for more details.
Chris@42 14 *
Chris@42 15 * You should have received a copy of the GNU General Public License
Chris@42 16 * along with this program; if not, write to the Free Software
Chris@42 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
Chris@42 18 *
Chris@42 19 */
Chris@42 20
Chris@42 21 /* This file was automatically generated --- DO NOT EDIT */
Chris@42 22 /* Generated on Sat Jul 30 16:50:11 EDT 2016 */
Chris@42 23
Chris@42 24 #include "codelet-rdft.h"
Chris@42 25
Chris@42 26 #ifdef HAVE_FMA
Chris@42 27
Chris@42 28 /* Generated by: ../../../genfft/gen_hc2hc.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -twiddle-log3 -precompute-twiddles -n 16 -dif -name hb2_16 -include hb.h */
Chris@42 29
Chris@42 30 /*
Chris@42 31 * This function contains 196 FP additions, 134 FP multiplications,
Chris@42 32 * (or, 104 additions, 42 multiplications, 92 fused multiply/add),
Chris@42 33 * 114 stack variables, 3 constants, and 64 memory accesses
Chris@42 34 */
Chris@42 35 #include "hb.h"
Chris@42 36
Chris@42 37 static void hb2_16(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@42 38 {
Chris@42 39 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@42 40 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@42 41 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
Chris@42 42 {
Chris@42 43 INT m;
Chris@42 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)) {
Chris@42 45 E Tv, TB, TF, Ty, T1J, T1O, T1N, T1K;
Chris@42 46 {
Chris@42 47 E Tw, T2z, T2C, Tx, T3f, T3l, T2F, T3r, Tz;
Chris@42 48 Tv = W[0];
Chris@42 49 Tw = W[2];
Chris@42 50 T2z = W[6];
Chris@42 51 T2C = W[7];
Chris@42 52 TB = W[4];
Chris@42 53 Tx = Tv * Tw;
Chris@42 54 T3f = Tv * T2z;
Chris@42 55 T3l = Tv * T2C;
Chris@42 56 T2F = Tv * TB;
Chris@42 57 T3r = Tw * TB;
Chris@42 58 TF = W[5];
Chris@42 59 Ty = W[1];
Chris@42 60 Tz = W[3];
Chris@42 61 {
Chris@42 62 E T2G, T3z, T3m, T3g, T3L, T3s, T1V, TA, T3w, T3Q, T30, T3C, TE, T1X, T1D;
Chris@42 63 E TG, T1G, T1o, T2p, T1Y, T2u, T2c, T1Z, TL, T1t, T2d, T35, T3n, T3R, T3F;
Chris@42 64 E T20, T1w, T3M, Tf, T3h, T2L, T2e, TW, T3N, T3I, T2Q, T36, T2V, T37, T1d;
Chris@42 65 E Tu, T3S, T18, T1z, T1i, T24, T2g, T27, T2h, TQ, TV;
Chris@42 66 {
Chris@42 67 E TH, T3, T2I, TU, T32, T1s, T1p, T6, TM, Ta, Tb, T33, TK, T2J, TP;
Chris@42 68 E Tc, T4, T5;
Chris@42 69 {
Chris@42 70 E TS, TT, T1q, T1r;
Chris@42 71 {
Chris@42 72 E T1, T1n, TC, T2b, T1W, T2, T3v, T2Z, TD;
Chris@42 73 T1 = cr[0];
Chris@42 74 T3v = Tw * TF;
Chris@42 75 T2Z = Tv * TF;
Chris@42 76 T2G = FNMS(Ty, TF, T2F);
Chris@42 77 T3z = FMA(Ty, TF, T2F);
Chris@42 78 T3m = FNMS(Ty, T2z, T3l);
Chris@42 79 T3g = FMA(Ty, T2C, T3f);
Chris@42 80 T3L = FNMS(Tz, TF, T3r);
Chris@42 81 T3s = FMA(Tz, TF, T3r);
Chris@42 82 T1V = FMA(Ty, Tz, Tx);
Chris@42 83 TA = FNMS(Ty, Tz, Tx);
Chris@42 84 TD = Tv * Tz;
Chris@42 85 T3w = FNMS(Tz, TB, T3v);
Chris@42 86 T3Q = FMA(Tz, TB, T3v);
Chris@42 87 T30 = FMA(Ty, TB, T2Z);
Chris@42 88 T3C = FNMS(Ty, TB, T2Z);
Chris@42 89 T1n = TA * TF;
Chris@42 90 TC = TA * TB;
Chris@42 91 T2b = T1V * TF;
Chris@42 92 T1W = T1V * TB;
Chris@42 93 TE = FMA(Ty, Tw, TD);
Chris@42 94 T1X = FNMS(Ty, Tw, TD);
Chris@42 95 T2 = ci[WS(rs, 7)];
Chris@42 96 TS = ci[WS(rs, 9)];
Chris@42 97 T1D = FMA(TE, TF, TC);
Chris@42 98 TG = FNMS(TE, TF, TC);
Chris@42 99 T1G = FNMS(TE, TB, T1n);
Chris@42 100 T1o = FMA(TE, TB, T1n);
Chris@42 101 T2p = FMA(T1X, TF, T1W);
Chris@42 102 T1Y = FNMS(T1X, TF, T1W);
Chris@42 103 T2u = FNMS(T1X, TB, T2b);
Chris@42 104 T2c = FMA(T1X, TB, T2b);
Chris@42 105 TH = T1 - T2;
Chris@42 106 T3 = T1 + T2;
Chris@42 107 TT = cr[WS(rs, 14)];
Chris@42 108 }
Chris@42 109 T1q = ci[WS(rs, 15)];
Chris@42 110 T1r = cr[WS(rs, 8)];
Chris@42 111 T4 = cr[WS(rs, 4)];
Chris@42 112 T2I = TS - TT;
Chris@42 113 TU = TS + TT;
Chris@42 114 T32 = T1q - T1r;
Chris@42 115 T1s = T1q + T1r;
Chris@42 116 T5 = ci[WS(rs, 3)];
Chris@42 117 }
Chris@42 118 {
Chris@42 119 E TI, TJ, T8, T9, TN, TO;
Chris@42 120 T8 = cr[WS(rs, 2)];
Chris@42 121 T9 = ci[WS(rs, 5)];
Chris@42 122 TI = ci[WS(rs, 11)];
Chris@42 123 T1p = T4 - T5;
Chris@42 124 T6 = T4 + T5;
Chris@42 125 TM = T8 - T9;
Chris@42 126 Ta = T8 + T9;
Chris@42 127 TJ = cr[WS(rs, 12)];
Chris@42 128 TN = ci[WS(rs, 13)];
Chris@42 129 TO = cr[WS(rs, 10)];
Chris@42 130 Tb = ci[WS(rs, 1)];
Chris@42 131 T33 = TI - TJ;
Chris@42 132 TK = TI + TJ;
Chris@42 133 T2J = TN - TO;
Chris@42 134 TP = TN + TO;
Chris@42 135 Tc = cr[WS(rs, 6)];
Chris@42 136 }
Chris@42 137 {
Chris@42 138 E TR, Td, T3D, T34;
Chris@42 139 T1Z = TH + TK;
Chris@42 140 TL = TH - TK;
Chris@42 141 T1t = T1p + T1s;
Chris@42 142 T2d = T1s - T1p;
Chris@42 143 TR = Tb - Tc;
Chris@42 144 Td = Tb + Tc;
Chris@42 145 T3D = T32 + T33;
Chris@42 146 T34 = T32 - T33;
Chris@42 147 {
Chris@42 148 E Te, T2K, T1u, T1v, T31, T3E, T2H, T7;
Chris@42 149 Te = Ta + Td;
Chris@42 150 T31 = Ta - Td;
Chris@42 151 T3E = T2J + T2I;
Chris@42 152 T2K = T2I - T2J;
Chris@42 153 TQ = TM - TP;
Chris@42 154 T1u = TM + TP;
Chris@42 155 T1v = TR + TU;
Chris@42 156 TV = TR - TU;
Chris@42 157 T35 = T31 + T34;
Chris@42 158 T3n = T34 - T31;
Chris@42 159 T3R = T3D - T3E;
Chris@42 160 T3F = T3D + T3E;
Chris@42 161 T2H = T3 - T6;
Chris@42 162 T7 = T3 + T6;
Chris@42 163 T20 = T1u + T1v;
Chris@42 164 T1w = T1u - T1v;
Chris@42 165 T3M = T7 - Te;
Chris@42 166 Tf = T7 + Te;
Chris@42 167 T3h = T2H - T2K;
Chris@42 168 T2L = T2H + T2K;
Chris@42 169 }
Chris@42 170 }
Chris@42 171 }
Chris@42 172 {
Chris@42 173 E T1e, Ti, T2N, T1c, T2O, T1h, T19, Tl, T13, Tp, Tq, T2S, T11, T2T, T16;
Chris@42 174 E Tr, Tj, Tk, Tm, TY, Tt;
Chris@42 175 {
Chris@42 176 E T1a, T1b, Tg, Th, T1f, T1g;
Chris@42 177 Tg = cr[WS(rs, 1)];
Chris@42 178 Th = ci[WS(rs, 6)];
Chris@42 179 T1a = ci[WS(rs, 14)];
Chris@42 180 T2e = TQ - TV;
Chris@42 181 TW = TQ + TV;
Chris@42 182 T1e = Tg - Th;
Chris@42 183 Ti = Tg + Th;
Chris@42 184 T1b = cr[WS(rs, 9)];
Chris@42 185 T1f = ci[WS(rs, 10)];
Chris@42 186 T1g = cr[WS(rs, 13)];
Chris@42 187 Tj = cr[WS(rs, 5)];
Chris@42 188 T2N = T1a - T1b;
Chris@42 189 T1c = T1a + T1b;
Chris@42 190 T2O = T1f - T1g;
Chris@42 191 T1h = T1f + T1g;
Chris@42 192 Tk = ci[WS(rs, 2)];
Chris@42 193 }
Chris@42 194 {
Chris@42 195 E TZ, T10, Tn, To, T14, T15;
Chris@42 196 Tn = ci[0];
Chris@42 197 To = cr[WS(rs, 7)];
Chris@42 198 TZ = ci[WS(rs, 8)];
Chris@42 199 T19 = Tj - Tk;
Chris@42 200 Tl = Tj + Tk;
Chris@42 201 T13 = Tn - To;
Chris@42 202 Tp = Tn + To;
Chris@42 203 T10 = cr[WS(rs, 15)];
Chris@42 204 T14 = ci[WS(rs, 12)];
Chris@42 205 T15 = cr[WS(rs, 11)];
Chris@42 206 Tq = cr[WS(rs, 3)];
Chris@42 207 T2S = TZ - T10;
Chris@42 208 T11 = TZ + T10;
Chris@42 209 T2T = T14 - T15;
Chris@42 210 T16 = T14 + T15;
Chris@42 211 Tr = ci[WS(rs, 4)];
Chris@42 212 }
Chris@42 213 {
Chris@42 214 E T2P, T2U, T2M, Ts, T3G, T3H, T2R;
Chris@42 215 T2P = T2N - T2O;
Chris@42 216 T3G = T2N + T2O;
Chris@42 217 T3H = T2S + T2T;
Chris@42 218 T2U = T2S - T2T;
Chris@42 219 Tm = Ti + Tl;
Chris@42 220 T2M = Ti - Tl;
Chris@42 221 TY = Tq - Tr;
Chris@42 222 Ts = Tq + Tr;
Chris@42 223 T3N = T3H - T3G;
Chris@42 224 T3I = T3G + T3H;
Chris@42 225 Tt = Tp + Ts;
Chris@42 226 T2R = Tp - Ts;
Chris@42 227 T2Q = T2M - T2P;
Chris@42 228 T36 = T2M + T2P;
Chris@42 229 T2V = T2R + T2U;
Chris@42 230 T37 = T2U - T2R;
Chris@42 231 }
Chris@42 232 {
Chris@42 233 E T25, T26, T22, T23, T12, T17;
Chris@42 234 T12 = TY - T11;
Chris@42 235 T25 = TY + T11;
Chris@42 236 T26 = T13 + T16;
Chris@42 237 T17 = T13 - T16;
Chris@42 238 T22 = T1c - T19;
Chris@42 239 T1d = T19 + T1c;
Chris@42 240 Tu = Tm + Tt;
Chris@42 241 T3S = Tm - Tt;
Chris@42 242 T18 = FNMS(KP414213562, T17, T12);
Chris@42 243 T1z = FMA(KP414213562, T12, T17);
Chris@42 244 T1i = T1e - T1h;
Chris@42 245 T23 = T1e + T1h;
Chris@42 246 T24 = FNMS(KP414213562, T23, T22);
Chris@42 247 T2g = FMA(KP414213562, T22, T23);
Chris@42 248 T27 = FNMS(KP414213562, T26, T25);
Chris@42 249 T2h = FMA(KP414213562, T25, T26);
Chris@42 250 }
Chris@42 251 }
Chris@42 252 {
Chris@42 253 E T1j, T1y, T3V, T3X, T3W, T38, T3i, T3o, T2W, T3K, T3B, T3A;
Chris@42 254 cr[0] = Tf + Tu;
Chris@42 255 T3A = Tf - Tu;
Chris@42 256 T1j = FMA(KP414213562, T1i, T1d);
Chris@42 257 T1y = FNMS(KP414213562, T1d, T1i);
Chris@42 258 T3K = T3C * T3A;
Chris@42 259 T3B = T3z * T3A;
Chris@42 260 {
Chris@42 261 E T3O, T3T, T3J, T3P, T3U;
Chris@42 262 T3O = T3M - T3N;
Chris@42 263 T3V = T3M + T3N;
Chris@42 264 T3X = T3S + T3R;
Chris@42 265 T3T = T3R - T3S;
Chris@42 266 ci[0] = T3F + T3I;
Chris@42 267 T3J = T3F - T3I;
Chris@42 268 T3P = T3L * T3O;
Chris@42 269 T3U = T3L * T3T;
Chris@42 270 T3W = TA * T3V;
Chris@42 271 cr[WS(rs, 8)] = FNMS(T3C, T3J, T3B);
Chris@42 272 ci[WS(rs, 8)] = FMA(T3z, T3J, T3K);
Chris@42 273 cr[WS(rs, 12)] = FNMS(T3Q, T3T, T3P);
Chris@42 274 ci[WS(rs, 12)] = FMA(T3Q, T3O, T3U);
Chris@42 275 T38 = T36 + T37;
Chris@42 276 T3i = T37 - T36;
Chris@42 277 T3o = T2Q - T2V;
Chris@42 278 T2W = T2Q + T2V;
Chris@42 279 }
Chris@42 280 {
Chris@42 281 E T2q, T21, T28, T2w, T2v, T2f, T2i, T2r;
Chris@42 282 {
Chris@42 283 E T2Y, T3a, T3c, T3d, T39, T3e, T3b, T2X, T3Y;
Chris@42 284 cr[WS(rs, 4)] = FNMS(TE, T3X, T3W);
Chris@42 285 T3Y = TA * T3X;
Chris@42 286 {
Chris@42 287 E T3t, T3j, T3x, T3p;
Chris@42 288 T3t = FMA(KP707106781, T3i, T3h);
Chris@42 289 T3j = FNMS(KP707106781, T3i, T3h);
Chris@42 290 T3x = FMA(KP707106781, T3o, T3n);
Chris@42 291 T3p = FNMS(KP707106781, T3o, T3n);
Chris@42 292 ci[WS(rs, 4)] = FMA(TE, T3V, T3Y);
Chris@42 293 {
Chris@42 294 E T3u, T3k, T3y, T3q;
Chris@42 295 T3u = T3s * T3t;
Chris@42 296 T3k = T3g * T3j;
Chris@42 297 T3y = T3s * T3x;
Chris@42 298 T3q = T3g * T3p;
Chris@42 299 cr[WS(rs, 6)] = FNMS(T3w, T3x, T3u);
Chris@42 300 cr[WS(rs, 14)] = FNMS(T3m, T3p, T3k);
Chris@42 301 ci[WS(rs, 6)] = FMA(T3w, T3t, T3y);
Chris@42 302 ci[WS(rs, 14)] = FMA(T3m, T3j, T3q);
Chris@42 303 T3b = FMA(KP707106781, T2W, T2L);
Chris@42 304 T2X = FNMS(KP707106781, T2W, T2L);
Chris@42 305 }
Chris@42 306 }
Chris@42 307 T2Y = T2G * T2X;
Chris@42 308 T3a = T30 * T2X;
Chris@42 309 T3c = T1V * T3b;
Chris@42 310 T3d = FMA(KP707106781, T38, T35);
Chris@42 311 T39 = FNMS(KP707106781, T38, T35);
Chris@42 312 T3e = T1X * T3b;
Chris@42 313 T2q = FMA(KP707106781, T20, T1Z);
Chris@42 314 T21 = FNMS(KP707106781, T20, T1Z);
Chris@42 315 cr[WS(rs, 2)] = FNMS(T1X, T3d, T3c);
Chris@42 316 ci[WS(rs, 10)] = FMA(T2G, T39, T3a);
Chris@42 317 cr[WS(rs, 10)] = FNMS(T30, T39, T2Y);
Chris@42 318 ci[WS(rs, 2)] = FMA(T1V, T3d, T3e);
Chris@42 319 T28 = T24 + T27;
Chris@42 320 T2w = T27 - T24;
Chris@42 321 T2v = FNMS(KP707106781, T2e, T2d);
Chris@42 322 T2f = FMA(KP707106781, T2e, T2d);
Chris@42 323 T2i = T2g - T2h;
Chris@42 324 T2r = T2g + T2h;
Chris@42 325 }
Chris@42 326 {
Chris@42 327 E TX, T1k, T1x, T1A;
Chris@42 328 T1J = FMA(KP707106781, TW, TL);
Chris@42 329 TX = FNMS(KP707106781, TW, TL);
Chris@42 330 {
Chris@42 331 E T2l, T29, T2n, T2j;
Chris@42 332 T2l = FNMS(KP923879532, T28, T21);
Chris@42 333 T29 = FMA(KP923879532, T28, T21);
Chris@42 334 T2n = FMA(KP923879532, T2i, T2f);
Chris@42 335 T2j = FNMS(KP923879532, T2i, T2f);
Chris@42 336 {
Chris@42 337 E T2o, T2m, T2k, T2a;
Chris@42 338 T2o = Tz * T2l;
Chris@42 339 T2m = Tw * T2l;
Chris@42 340 T2k = T2c * T29;
Chris@42 341 T2a = T1Y * T29;
Chris@42 342 ci[WS(rs, 3)] = FMA(Tw, T2n, T2o);
Chris@42 343 cr[WS(rs, 3)] = FNMS(Tz, T2n, T2m);
Chris@42 344 ci[WS(rs, 11)] = FMA(T1Y, T2j, T2k);
Chris@42 345 cr[WS(rs, 11)] = FNMS(T2c, T2j, T2a);
Chris@42 346 T1k = T18 - T1j;
Chris@42 347 T1O = T1j + T18;
Chris@42 348 }
Chris@42 349 }
Chris@42 350 T1N = FMA(KP707106781, T1w, T1t);
Chris@42 351 T1x = FNMS(KP707106781, T1w, T1t);
Chris@42 352 T1A = T1y - T1z;
Chris@42 353 T1K = T1y + T1z;
Chris@42 354 {
Chris@42 355 E T1E, T1l, T1H, T1B;
Chris@42 356 T1E = FMA(KP923879532, T1k, TX);
Chris@42 357 T1l = FNMS(KP923879532, T1k, TX);
Chris@42 358 T1H = FMA(KP923879532, T1A, T1x);
Chris@42 359 T1B = FNMS(KP923879532, T1A, T1x);
Chris@42 360 {
Chris@42 361 E T1I, T1F, T1C, T1m;
Chris@42 362 T1I = T1G * T1E;
Chris@42 363 T1F = T1D * T1E;
Chris@42 364 T1C = T1o * T1l;
Chris@42 365 T1m = TG * T1l;
Chris@42 366 ci[WS(rs, 5)] = FMA(T1D, T1H, T1I);
Chris@42 367 cr[WS(rs, 5)] = FNMS(T1G, T1H, T1F);
Chris@42 368 ci[WS(rs, 13)] = FMA(TG, T1B, T1C);
Chris@42 369 cr[WS(rs, 13)] = FNMS(T1o, T1B, T1m);
Chris@42 370 }
Chris@42 371 }
Chris@42 372 {
Chris@42 373 E T2A, T2s, T2D, T2x;
Chris@42 374 T2A = FMA(KP923879532, T2r, T2q);
Chris@42 375 T2s = FNMS(KP923879532, T2r, T2q);
Chris@42 376 T2D = FNMS(KP923879532, T2w, T2v);
Chris@42 377 T2x = FMA(KP923879532, T2w, T2v);
Chris@42 378 {
Chris@42 379 E T2B, T2t, T2E, T2y;
Chris@42 380 T2B = T2z * T2A;
Chris@42 381 T2t = T2p * T2s;
Chris@42 382 T2E = T2z * T2D;
Chris@42 383 T2y = T2p * T2x;
Chris@42 384 cr[WS(rs, 15)] = FNMS(T2C, T2D, T2B);
Chris@42 385 cr[WS(rs, 7)] = FNMS(T2u, T2x, T2t);
Chris@42 386 ci[WS(rs, 15)] = FMA(T2C, T2A, T2E);
Chris@42 387 ci[WS(rs, 7)] = FMA(T2u, T2s, T2y);
Chris@42 388 }
Chris@42 389 }
Chris@42 390 }
Chris@42 391 }
Chris@42 392 }
Chris@42 393 }
Chris@42 394 }
Chris@42 395 {
Chris@42 396 E T1L, T1R, T1P, T1T;
Chris@42 397 T1L = FNMS(KP923879532, T1K, T1J);
Chris@42 398 T1R = FMA(KP923879532, T1K, T1J);
Chris@42 399 T1P = FNMS(KP923879532, T1O, T1N);
Chris@42 400 T1T = FMA(KP923879532, T1O, T1N);
Chris@42 401 {
Chris@42 402 E T1S, T1M, T1U, T1Q;
Chris@42 403 T1S = Tv * T1R;
Chris@42 404 T1M = TB * T1L;
Chris@42 405 T1U = Tv * T1T;
Chris@42 406 T1Q = TB * T1P;
Chris@42 407 cr[WS(rs, 1)] = FNMS(Ty, T1T, T1S);
Chris@42 408 cr[WS(rs, 9)] = FNMS(TF, T1P, T1M);
Chris@42 409 ci[WS(rs, 1)] = FMA(Ty, T1R, T1U);
Chris@42 410 ci[WS(rs, 9)] = FMA(TF, T1L, T1Q);
Chris@42 411 }
Chris@42 412 }
Chris@42 413 }
Chris@42 414 }
Chris@42 415 }
Chris@42 416
Chris@42 417 static const tw_instr twinstr[] = {
Chris@42 418 {TW_CEXP, 1, 1},
Chris@42 419 {TW_CEXP, 1, 3},
Chris@42 420 {TW_CEXP, 1, 9},
Chris@42 421 {TW_CEXP, 1, 15},
Chris@42 422 {TW_NEXT, 1, 0}
Chris@42 423 };
Chris@42 424
Chris@42 425 static const hc2hc_desc desc = { 16, "hb2_16", twinstr, &GENUS, {104, 42, 92, 0} };
Chris@42 426
Chris@42 427 void X(codelet_hb2_16) (planner *p) {
Chris@42 428 X(khc2hc_register) (p, hb2_16, &desc);
Chris@42 429 }
Chris@42 430 #else /* HAVE_FMA */
Chris@42 431
Chris@42 432 /* Generated by: ../../../genfft/gen_hc2hc.native -compact -variables 4 -pipeline-latency 4 -sign 1 -twiddle-log3 -precompute-twiddles -n 16 -dif -name hb2_16 -include hb.h */
Chris@42 433
Chris@42 434 /*
Chris@42 435 * This function contains 196 FP additions, 108 FP multiplications,
Chris@42 436 * (or, 156 additions, 68 multiplications, 40 fused multiply/add),
Chris@42 437 * 80 stack variables, 3 constants, and 64 memory accesses
Chris@42 438 */
Chris@42 439 #include "hb.h"
Chris@42 440
Chris@42 441 static void hb2_16(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
Chris@42 442 {
Chris@42 443 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
Chris@42 444 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@42 445 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@42 446 {
Chris@42 447 INT m;
Chris@42 448 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)) {
Chris@42 449 E Tv, Ty, T1l, T1n, T1p, T1t, T27, T25, Tz, Tw, TB, T21, T1P, T1H, T1X;
Chris@42 450 E T17, T1L, T1N, T1v, T1w, T1x, T1B, T2F, T2T, T2b, T2R, T3j, T3x, T35, T3t;
Chris@42 451 {
Chris@42 452 E TA, T1J, T15, T1G, Tx, T1K, T16, T1F;
Chris@42 453 {
Chris@42 454 E T1m, T1s, T1o, T1r;
Chris@42 455 Tv = W[0];
Chris@42 456 Ty = W[1];
Chris@42 457 T1l = W[2];
Chris@42 458 T1n = W[3];
Chris@42 459 T1m = Tv * T1l;
Chris@42 460 T1s = Ty * T1l;
Chris@42 461 T1o = Ty * T1n;
Chris@42 462 T1r = Tv * T1n;
Chris@42 463 T1p = T1m + T1o;
Chris@42 464 T1t = T1r - T1s;
Chris@42 465 T27 = T1r + T1s;
Chris@42 466 T25 = T1m - T1o;
Chris@42 467 Tz = W[5];
Chris@42 468 TA = Ty * Tz;
Chris@42 469 T1J = T1l * Tz;
Chris@42 470 T15 = Tv * Tz;
Chris@42 471 T1G = T1n * Tz;
Chris@42 472 Tw = W[4];
Chris@42 473 Tx = Tv * Tw;
Chris@42 474 T1K = T1n * Tw;
Chris@42 475 T16 = Ty * Tw;
Chris@42 476 T1F = T1l * Tw;
Chris@42 477 }
Chris@42 478 TB = Tx - TA;
Chris@42 479 T21 = T1J + T1K;
Chris@42 480 T1P = T15 - T16;
Chris@42 481 T1H = T1F + T1G;
Chris@42 482 T1X = T1F - T1G;
Chris@42 483 T17 = T15 + T16;
Chris@42 484 T1L = T1J - T1K;
Chris@42 485 T1N = Tx + TA;
Chris@42 486 T1v = W[6];
Chris@42 487 T1w = W[7];
Chris@42 488 T1x = FMA(Tv, T1v, Ty * T1w);
Chris@42 489 T1B = FNMS(Ty, T1v, Tv * T1w);
Chris@42 490 {
Chris@42 491 E T2D, T2E, T29, T2a;
Chris@42 492 T2D = T25 * Tz;
Chris@42 493 T2E = T27 * Tw;
Chris@42 494 T2F = T2D + T2E;
Chris@42 495 T2T = T2D - T2E;
Chris@42 496 T29 = T25 * Tw;
Chris@42 497 T2a = T27 * Tz;
Chris@42 498 T2b = T29 - T2a;
Chris@42 499 T2R = T29 + T2a;
Chris@42 500 }
Chris@42 501 {
Chris@42 502 E T3h, T3i, T33, T34;
Chris@42 503 T3h = T1p * Tz;
Chris@42 504 T3i = T1t * Tw;
Chris@42 505 T3j = T3h + T3i;
Chris@42 506 T3x = T3h - T3i;
Chris@42 507 T33 = T1p * Tw;
Chris@42 508 T34 = T1t * Tz;
Chris@42 509 T35 = T33 - T34;
Chris@42 510 T3t = T33 + T34;
Chris@42 511 }
Chris@42 512 }
Chris@42 513 {
Chris@42 514 E T7, T36, T3k, TC, T1f, T2e, T2I, T1Q, Te, TJ, T1R, T18, T2L, T37, T2l;
Chris@42 515 E T3l, Tm, T1T, TT, T1h, T2A, T2N, T3b, T3n, Tt, T1U, T12, T1i, T2t, T2O;
Chris@42 516 E T3e, T3o;
Chris@42 517 {
Chris@42 518 E T3, T2c, T1e, T2d, T6, T2G, T1b, T2H;
Chris@42 519 {
Chris@42 520 E T1, T2, T1c, T1d;
Chris@42 521 T1 = cr[0];
Chris@42 522 T2 = ci[WS(rs, 7)];
Chris@42 523 T3 = T1 + T2;
Chris@42 524 T2c = T1 - T2;
Chris@42 525 T1c = ci[WS(rs, 11)];
Chris@42 526 T1d = cr[WS(rs, 12)];
Chris@42 527 T1e = T1c - T1d;
Chris@42 528 T2d = T1c + T1d;
Chris@42 529 }
Chris@42 530 {
Chris@42 531 E T4, T5, T19, T1a;
Chris@42 532 T4 = cr[WS(rs, 4)];
Chris@42 533 T5 = ci[WS(rs, 3)];
Chris@42 534 T6 = T4 + T5;
Chris@42 535 T2G = T4 - T5;
Chris@42 536 T19 = ci[WS(rs, 15)];
Chris@42 537 T1a = cr[WS(rs, 8)];
Chris@42 538 T1b = T19 - T1a;
Chris@42 539 T2H = T19 + T1a;
Chris@42 540 }
Chris@42 541 T7 = T3 + T6;
Chris@42 542 T36 = T2c + T2d;
Chris@42 543 T3k = T2H - T2G;
Chris@42 544 TC = T3 - T6;
Chris@42 545 T1f = T1b - T1e;
Chris@42 546 T2e = T2c - T2d;
Chris@42 547 T2I = T2G + T2H;
Chris@42 548 T1Q = T1b + T1e;
Chris@42 549 }
Chris@42 550 {
Chris@42 551 E Ta, T2f, TI, T2g, Td, T2i, TF, T2j;
Chris@42 552 {
Chris@42 553 E T8, T9, TG, TH;
Chris@42 554 T8 = cr[WS(rs, 2)];
Chris@42 555 T9 = ci[WS(rs, 5)];
Chris@42 556 Ta = T8 + T9;
Chris@42 557 T2f = T8 - T9;
Chris@42 558 TG = ci[WS(rs, 13)];
Chris@42 559 TH = cr[WS(rs, 10)];
Chris@42 560 TI = TG - TH;
Chris@42 561 T2g = TG + TH;
Chris@42 562 }
Chris@42 563 {
Chris@42 564 E Tb, Tc, TD, TE;
Chris@42 565 Tb = ci[WS(rs, 1)];
Chris@42 566 Tc = cr[WS(rs, 6)];
Chris@42 567 Td = Tb + Tc;
Chris@42 568 T2i = Tb - Tc;
Chris@42 569 TD = ci[WS(rs, 9)];
Chris@42 570 TE = cr[WS(rs, 14)];
Chris@42 571 TF = TD - TE;
Chris@42 572 T2j = TD + TE;
Chris@42 573 }
Chris@42 574 Te = Ta + Td;
Chris@42 575 TJ = TF - TI;
Chris@42 576 T1R = TI + TF;
Chris@42 577 T18 = Ta - Td;
Chris@42 578 {
Chris@42 579 E T2J, T2K, T2h, T2k;
Chris@42 580 T2J = T2f + T2g;
Chris@42 581 T2K = T2i + T2j;
Chris@42 582 T2L = KP707106781 * (T2J - T2K);
Chris@42 583 T37 = KP707106781 * (T2J + T2K);
Chris@42 584 T2h = T2f - T2g;
Chris@42 585 T2k = T2i - T2j;
Chris@42 586 T2l = KP707106781 * (T2h + T2k);
Chris@42 587 T3l = KP707106781 * (T2h - T2k);
Chris@42 588 }
Chris@42 589 }
Chris@42 590 {
Chris@42 591 E Ti, T2x, TR, T2y, Tl, T2u, TO, T2v, TL, TS;
Chris@42 592 {
Chris@42 593 E Tg, Th, TP, TQ;
Chris@42 594 Tg = cr[WS(rs, 1)];
Chris@42 595 Th = ci[WS(rs, 6)];
Chris@42 596 Ti = Tg + Th;
Chris@42 597 T2x = Tg - Th;
Chris@42 598 TP = ci[WS(rs, 10)];
Chris@42 599 TQ = cr[WS(rs, 13)];
Chris@42 600 TR = TP - TQ;
Chris@42 601 T2y = TP + TQ;
Chris@42 602 }
Chris@42 603 {
Chris@42 604 E Tj, Tk, TM, TN;
Chris@42 605 Tj = cr[WS(rs, 5)];
Chris@42 606 Tk = ci[WS(rs, 2)];
Chris@42 607 Tl = Tj + Tk;
Chris@42 608 T2u = Tj - Tk;
Chris@42 609 TM = ci[WS(rs, 14)];
Chris@42 610 TN = cr[WS(rs, 9)];
Chris@42 611 TO = TM - TN;
Chris@42 612 T2v = TM + TN;
Chris@42 613 }
Chris@42 614 Tm = Ti + Tl;
Chris@42 615 T1T = TO + TR;
Chris@42 616 TL = Ti - Tl;
Chris@42 617 TS = TO - TR;
Chris@42 618 TT = TL - TS;
Chris@42 619 T1h = TL + TS;
Chris@42 620 {
Chris@42 621 E T2w, T2z, T39, T3a;
Chris@42 622 T2w = T2u + T2v;
Chris@42 623 T2z = T2x - T2y;
Chris@42 624 T2A = FMA(KP923879532, T2w, KP382683432 * T2z);
Chris@42 625 T2N = FNMS(KP382683432, T2w, KP923879532 * T2z);
Chris@42 626 T39 = T2x + T2y;
Chris@42 627 T3a = T2v - T2u;
Chris@42 628 T3b = FNMS(KP923879532, T3a, KP382683432 * T39);
Chris@42 629 T3n = FMA(KP382683432, T3a, KP923879532 * T39);
Chris@42 630 }
Chris@42 631 }
Chris@42 632 {
Chris@42 633 E Tp, T2q, T10, T2r, Ts, T2n, TX, T2o, TU, T11;
Chris@42 634 {
Chris@42 635 E Tn, To, TY, TZ;
Chris@42 636 Tn = ci[0];
Chris@42 637 To = cr[WS(rs, 7)];
Chris@42 638 Tp = Tn + To;
Chris@42 639 T2q = Tn - To;
Chris@42 640 TY = ci[WS(rs, 12)];
Chris@42 641 TZ = cr[WS(rs, 11)];
Chris@42 642 T10 = TY - TZ;
Chris@42 643 T2r = TY + TZ;
Chris@42 644 }
Chris@42 645 {
Chris@42 646 E Tq, Tr, TV, TW;
Chris@42 647 Tq = cr[WS(rs, 3)];
Chris@42 648 Tr = ci[WS(rs, 4)];
Chris@42 649 Ts = Tq + Tr;
Chris@42 650 T2n = Tq - Tr;
Chris@42 651 TV = ci[WS(rs, 8)];
Chris@42 652 TW = cr[WS(rs, 15)];
Chris@42 653 TX = TV - TW;
Chris@42 654 T2o = TV + TW;
Chris@42 655 }
Chris@42 656 Tt = Tp + Ts;
Chris@42 657 T1U = TX + T10;
Chris@42 658 TU = Tp - Ts;
Chris@42 659 T11 = TX - T10;
Chris@42 660 T12 = TU + T11;
Chris@42 661 T1i = T11 - TU;
Chris@42 662 {
Chris@42 663 E T2p, T2s, T3c, T3d;
Chris@42 664 T2p = T2n - T2o;
Chris@42 665 T2s = T2q - T2r;
Chris@42 666 T2t = FNMS(KP382683432, T2s, KP923879532 * T2p);
Chris@42 667 T2O = FMA(KP382683432, T2p, KP923879532 * T2s);
Chris@42 668 T3c = T2q + T2r;
Chris@42 669 T3d = T2n + T2o;
Chris@42 670 T3e = FNMS(KP923879532, T3d, KP382683432 * T3c);
Chris@42 671 T3o = FMA(KP382683432, T3d, KP923879532 * T3c);
Chris@42 672 }
Chris@42 673 }
Chris@42 674 {
Chris@42 675 E Tf, Tu, T1O, T1S, T1V, T1W;
Chris@42 676 Tf = T7 + Te;
Chris@42 677 Tu = Tm + Tt;
Chris@42 678 T1O = Tf - Tu;
Chris@42 679 T1S = T1Q + T1R;
Chris@42 680 T1V = T1T + T1U;
Chris@42 681 T1W = T1S - T1V;
Chris@42 682 cr[0] = Tf + Tu;
Chris@42 683 ci[0] = T1S + T1V;
Chris@42 684 cr[WS(rs, 8)] = FNMS(T1P, T1W, T1N * T1O);
Chris@42 685 ci[WS(rs, 8)] = FMA(T1P, T1O, T1N * T1W);
Chris@42 686 }
Chris@42 687 {
Chris@42 688 E T3g, T3r, T3q, T3s;
Chris@42 689 {
Chris@42 690 E T38, T3f, T3m, T3p;
Chris@42 691 T38 = T36 - T37;
Chris@42 692 T3f = T3b + T3e;
Chris@42 693 T3g = T38 - T3f;
Chris@42 694 T3r = T38 + T3f;
Chris@42 695 T3m = T3k + T3l;
Chris@42 696 T3p = T3n - T3o;
Chris@42 697 T3q = T3m - T3p;
Chris@42 698 T3s = T3m + T3p;
Chris@42 699 }
Chris@42 700 cr[WS(rs, 11)] = FNMS(T3j, T3q, T35 * T3g);
Chris@42 701 ci[WS(rs, 11)] = FMA(T3j, T3g, T35 * T3q);
Chris@42 702 cr[WS(rs, 3)] = FNMS(T1n, T3s, T1l * T3r);
Chris@42 703 ci[WS(rs, 3)] = FMA(T1n, T3r, T1l * T3s);
Chris@42 704 }
Chris@42 705 {
Chris@42 706 E T3w, T3B, T3A, T3C;
Chris@42 707 {
Chris@42 708 E T3u, T3v, T3y, T3z;
Chris@42 709 T3u = T36 + T37;
Chris@42 710 T3v = T3n + T3o;
Chris@42 711 T3w = T3u - T3v;
Chris@42 712 T3B = T3u + T3v;
Chris@42 713 T3y = T3k - T3l;
Chris@42 714 T3z = T3b - T3e;
Chris@42 715 T3A = T3y + T3z;
Chris@42 716 T3C = T3y - T3z;
Chris@42 717 }
Chris@42 718 cr[WS(rs, 7)] = FNMS(T3x, T3A, T3t * T3w);
Chris@42 719 ci[WS(rs, 7)] = FMA(T3t, T3A, T3x * T3w);
Chris@42 720 cr[WS(rs, 15)] = FNMS(T1w, T3C, T1v * T3B);
Chris@42 721 ci[WS(rs, 15)] = FMA(T1v, T3C, T1w * T3B);
Chris@42 722 }
Chris@42 723 {
Chris@42 724 E T14, T1q, T1k, T1u;
Chris@42 725 {
Chris@42 726 E TK, T13, T1g, T1j;
Chris@42 727 TK = TC + TJ;
Chris@42 728 T13 = KP707106781 * (TT + T12);
Chris@42 729 T14 = TK - T13;
Chris@42 730 T1q = TK + T13;
Chris@42 731 T1g = T18 + T1f;
Chris@42 732 T1j = KP707106781 * (T1h + T1i);
Chris@42 733 T1k = T1g - T1j;
Chris@42 734 T1u = T1g + T1j;
Chris@42 735 }
Chris@42 736 cr[WS(rs, 10)] = FNMS(T17, T1k, TB * T14);
Chris@42 737 ci[WS(rs, 10)] = FMA(T17, T14, TB * T1k);
Chris@42 738 cr[WS(rs, 2)] = FNMS(T1t, T1u, T1p * T1q);
Chris@42 739 ci[WS(rs, 2)] = FMA(T1t, T1q, T1p * T1u);
Chris@42 740 }
Chris@42 741 {
Chris@42 742 E T1A, T1I, T1E, T1M;
Chris@42 743 {
Chris@42 744 E T1y, T1z, T1C, T1D;
Chris@42 745 T1y = TC - TJ;
Chris@42 746 T1z = KP707106781 * (T1i - T1h);
Chris@42 747 T1A = T1y - T1z;
Chris@42 748 T1I = T1y + T1z;
Chris@42 749 T1C = T1f - T18;
Chris@42 750 T1D = KP707106781 * (TT - T12);
Chris@42 751 T1E = T1C - T1D;
Chris@42 752 T1M = T1C + T1D;
Chris@42 753 }
Chris@42 754 cr[WS(rs, 14)] = FNMS(T1B, T1E, T1x * T1A);
Chris@42 755 ci[WS(rs, 14)] = FMA(T1x, T1E, T1B * T1A);
Chris@42 756 cr[WS(rs, 6)] = FNMS(T1L, T1M, T1H * T1I);
Chris@42 757 ci[WS(rs, 6)] = FMA(T1H, T1M, T1L * T1I);
Chris@42 758 }
Chris@42 759 {
Chris@42 760 E T2C, T2S, T2Q, T2U;
Chris@42 761 {
Chris@42 762 E T2m, T2B, T2M, T2P;
Chris@42 763 T2m = T2e - T2l;
Chris@42 764 T2B = T2t - T2A;
Chris@42 765 T2C = T2m - T2B;
Chris@42 766 T2S = T2m + T2B;
Chris@42 767 T2M = T2I - T2L;
Chris@42 768 T2P = T2N - T2O;
Chris@42 769 T2Q = T2M - T2P;
Chris@42 770 T2U = T2M + T2P;
Chris@42 771 }
Chris@42 772 cr[WS(rs, 13)] = FNMS(T2F, T2Q, T2b * T2C);
Chris@42 773 ci[WS(rs, 13)] = FMA(T2F, T2C, T2b * T2Q);
Chris@42 774 cr[WS(rs, 5)] = FNMS(T2T, T2U, T2R * T2S);
Chris@42 775 ci[WS(rs, 5)] = FMA(T2T, T2S, T2R * T2U);
Chris@42 776 }
Chris@42 777 {
Chris@42 778 E T2X, T31, T30, T32;
Chris@42 779 {
Chris@42 780 E T2V, T2W, T2Y, T2Z;
Chris@42 781 T2V = T2e + T2l;
Chris@42 782 T2W = T2N + T2O;
Chris@42 783 T2X = T2V - T2W;
Chris@42 784 T31 = T2V + T2W;
Chris@42 785 T2Y = T2I + T2L;
Chris@42 786 T2Z = T2A + T2t;
Chris@42 787 T30 = T2Y - T2Z;
Chris@42 788 T32 = T2Y + T2Z;
Chris@42 789 }
Chris@42 790 cr[WS(rs, 9)] = FNMS(Tz, T30, Tw * T2X);
Chris@42 791 ci[WS(rs, 9)] = FMA(Tw, T30, Tz * T2X);
Chris@42 792 cr[WS(rs, 1)] = FNMS(Ty, T32, Tv * T31);
Chris@42 793 ci[WS(rs, 1)] = FMA(Tv, T32, Ty * T31);
Chris@42 794 }
Chris@42 795 {
Chris@42 796 E T20, T26, T24, T28;
Chris@42 797 {
Chris@42 798 E T1Y, T1Z, T22, T23;
Chris@42 799 T1Y = T7 - Te;
Chris@42 800 T1Z = T1U - T1T;
Chris@42 801 T20 = T1Y - T1Z;
Chris@42 802 T26 = T1Y + T1Z;
Chris@42 803 T22 = T1Q - T1R;
Chris@42 804 T23 = Tm - Tt;
Chris@42 805 T24 = T22 - T23;
Chris@42 806 T28 = T23 + T22;
Chris@42 807 }
Chris@42 808 cr[WS(rs, 12)] = FNMS(T21, T24, T1X * T20);
Chris@42 809 ci[WS(rs, 12)] = FMA(T1X, T24, T21 * T20);
Chris@42 810 cr[WS(rs, 4)] = FNMS(T27, T28, T25 * T26);
Chris@42 811 ci[WS(rs, 4)] = FMA(T25, T28, T27 * T26);
Chris@42 812 }
Chris@42 813 }
Chris@42 814 }
Chris@42 815 }
Chris@42 816 }
Chris@42 817
Chris@42 818 static const tw_instr twinstr[] = {
Chris@42 819 {TW_CEXP, 1, 1},
Chris@42 820 {TW_CEXP, 1, 3},
Chris@42 821 {TW_CEXP, 1, 9},
Chris@42 822 {TW_CEXP, 1, 15},
Chris@42 823 {TW_NEXT, 1, 0}
Chris@42 824 };
Chris@42 825
Chris@42 826 static const hc2hc_desc desc = { 16, "hb2_16", twinstr, &GENUS, {156, 68, 40, 0} };
Chris@42 827
Chris@42 828 void X(codelet_hb2_16) (planner *p) {
Chris@42 829 X(khc2hc_register) (p, hb2_16, &desc);
Chris@42 830 }
Chris@42 831 #endif /* HAVE_FMA */