annotate fft/fftw/fftw-3.3.4/dft/scalar/codelets/n1_20.c @ 40:223f770b5341 kissfft-double tip

Try a double-precision kissfft
author Chris Cannam
date Wed, 07 Sep 2016 10:40:32 +0100
parents 26056e866c29
children
rev   line source
Chris@19 1 /*
Chris@19 2 * Copyright (c) 2003, 2007-14 Matteo Frigo
Chris@19 3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
Chris@19 4 *
Chris@19 5 * This program is free software; you can redistribute it and/or modify
Chris@19 6 * it under the terms of the GNU General Public License as published by
Chris@19 7 * the Free Software Foundation; either version 2 of the License, or
Chris@19 8 * (at your option) any later version.
Chris@19 9 *
Chris@19 10 * This program is distributed in the hope that it will be useful,
Chris@19 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
Chris@19 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
Chris@19 13 * GNU General Public License for more details.
Chris@19 14 *
Chris@19 15 * You should have received a copy of the GNU General Public License
Chris@19 16 * along with this program; if not, write to the Free Software
Chris@19 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
Chris@19 18 *
Chris@19 19 */
Chris@19 20
Chris@19 21 /* This file was automatically generated --- DO NOT EDIT */
Chris@19 22 /* Generated on Tue Mar 4 13:45:49 EST 2014 */
Chris@19 23
Chris@19 24 #include "codelet-dft.h"
Chris@19 25
Chris@19 26 #ifdef HAVE_FMA
Chris@19 27
Chris@19 28 /* Generated by: ../../../genfft/gen_notw.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 20 -name n1_20 -include n.h */
Chris@19 29
Chris@19 30 /*
Chris@19 31 * This function contains 208 FP additions, 72 FP multiplications,
Chris@19 32 * (or, 136 additions, 0 multiplications, 72 fused multiply/add),
Chris@19 33 * 86 stack variables, 4 constants, and 80 memory accesses
Chris@19 34 */
Chris@19 35 #include "n.h"
Chris@19 36
Chris@19 37 static void n1_20(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
Chris@19 38 {
Chris@19 39 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
Chris@19 40 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
Chris@19 41 DK(KP618033988, +0.618033988749894848204586834365638117720309180);
Chris@19 42 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
Chris@19 43 {
Chris@19 44 INT i;
Chris@19 45 for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(80, is), MAKE_VOLATILE_STRIDE(80, os)) {
Chris@19 46 E T1Y, T1Z, T1W, T1V;
Chris@19 47 {
Chris@19 48 E T1d, TP, TD, T7, T3b, T2N, T2f, T1R, T2U, TB, T2P, T2A, T3d, T37, T3j;
Chris@19 49 E TJ, T2n, T1b, T1T, T1y, T2b, T2h, T1j, T2V, Tm, T2O, T2H, T3c, T34, T1e;
Chris@19 50 E T1f, T3i, TG, T2m, T10, T1S, T1J, T28, T2g;
Chris@19 51 {
Chris@19 52 E T4, T1N, T3, T2L, TN, T5, T1O, T1P, T1h, T1i;
Chris@19 53 {
Chris@19 54 E T1, T2, TL, TM;
Chris@19 55 T1 = ri[0];
Chris@19 56 T2 = ri[WS(is, 10)];
Chris@19 57 TL = ii[0];
Chris@19 58 TM = ii[WS(is, 10)];
Chris@19 59 T4 = ri[WS(is, 5)];
Chris@19 60 T1N = T1 - T2;
Chris@19 61 T3 = T1 + T2;
Chris@19 62 T2L = TL + TM;
Chris@19 63 TN = TL - TM;
Chris@19 64 T5 = ri[WS(is, 15)];
Chris@19 65 T1O = ii[WS(is, 5)];
Chris@19 66 T1P = ii[WS(is, 15)];
Chris@19 67 }
Chris@19 68 {
Chris@19 69 E T1o, Tp, T2u, T13, T14, Ts, T2v, T1r, Tx, T1t, Tw, T2x, T18, Ty, T1u;
Chris@19 70 E T1v;
Chris@19 71 {
Chris@19 72 E Tq, Tr, T1p, T1q;
Chris@19 73 {
Chris@19 74 E Tn, To, T11, T12;
Chris@19 75 Tn = ri[WS(is, 8)];
Chris@19 76 {
Chris@19 77 E TO, T6, T2M, T1Q;
Chris@19 78 TO = T4 - T5;
Chris@19 79 T6 = T4 + T5;
Chris@19 80 T2M = T1O + T1P;
Chris@19 81 T1Q = T1O - T1P;
Chris@19 82 T1d = TO + TN;
Chris@19 83 TP = TN - TO;
Chris@19 84 TD = T3 + T6;
Chris@19 85 T7 = T3 - T6;
Chris@19 86 T3b = T2L + T2M;
Chris@19 87 T2N = T2L - T2M;
Chris@19 88 T2f = T1N + T1Q;
Chris@19 89 T1R = T1N - T1Q;
Chris@19 90 To = ri[WS(is, 18)];
Chris@19 91 }
Chris@19 92 T11 = ii[WS(is, 8)];
Chris@19 93 T12 = ii[WS(is, 18)];
Chris@19 94 Tq = ri[WS(is, 13)];
Chris@19 95 T1o = Tn - To;
Chris@19 96 Tp = Tn + To;
Chris@19 97 T2u = T11 + T12;
Chris@19 98 T13 = T11 - T12;
Chris@19 99 Tr = ri[WS(is, 3)];
Chris@19 100 T1p = ii[WS(is, 13)];
Chris@19 101 T1q = ii[WS(is, 3)];
Chris@19 102 }
Chris@19 103 {
Chris@19 104 E Tu, Tv, T16, T17;
Chris@19 105 Tu = ri[WS(is, 12)];
Chris@19 106 T14 = Tq - Tr;
Chris@19 107 Ts = Tq + Tr;
Chris@19 108 T2v = T1p + T1q;
Chris@19 109 T1r = T1p - T1q;
Chris@19 110 Tv = ri[WS(is, 2)];
Chris@19 111 T16 = ii[WS(is, 12)];
Chris@19 112 T17 = ii[WS(is, 2)];
Chris@19 113 Tx = ri[WS(is, 17)];
Chris@19 114 T1t = Tu - Tv;
Chris@19 115 Tw = Tu + Tv;
Chris@19 116 T2x = T16 + T17;
Chris@19 117 T18 = T16 - T17;
Chris@19 118 Ty = ri[WS(is, 7)];
Chris@19 119 T1u = ii[WS(is, 17)];
Chris@19 120 T1v = ii[WS(is, 7)];
Chris@19 121 }
Chris@19 122 }
Chris@19 123 {
Chris@19 124 E TH, T19, T1w, TI;
Chris@19 125 {
Chris@19 126 E Tt, T2w, T35, TA, T2z, T36, Tz, T2y;
Chris@19 127 TH = Tp + Ts;
Chris@19 128 Tt = Tp - Ts;
Chris@19 129 T19 = Tx - Ty;
Chris@19 130 Tz = Tx + Ty;
Chris@19 131 T2y = T1u + T1v;
Chris@19 132 T1w = T1u - T1v;
Chris@19 133 T2w = T2u - T2v;
Chris@19 134 T35 = T2u + T2v;
Chris@19 135 TI = Tw + Tz;
Chris@19 136 TA = Tw - Tz;
Chris@19 137 T2z = T2x - T2y;
Chris@19 138 T36 = T2x + T2y;
Chris@19 139 T2U = Tt - TA;
Chris@19 140 TB = Tt + TA;
Chris@19 141 T2P = T2w + T2z;
Chris@19 142 T2A = T2w - T2z;
Chris@19 143 T3d = T35 + T36;
Chris@19 144 T37 = T35 - T36;
Chris@19 145 }
Chris@19 146 {
Chris@19 147 E T1s, T29, T1x, T2a, T15, T1a;
Chris@19 148 T15 = T13 - T14;
Chris@19 149 T1h = T14 + T13;
Chris@19 150 T1i = T19 + T18;
Chris@19 151 T1a = T18 - T19;
Chris@19 152 T1s = T1o - T1r;
Chris@19 153 T29 = T1o + T1r;
Chris@19 154 T3j = TH - TI;
Chris@19 155 TJ = TH + TI;
Chris@19 156 T1x = T1t - T1w;
Chris@19 157 T2a = T1t + T1w;
Chris@19 158 T2n = T15 - T1a;
Chris@19 159 T1b = T15 + T1a;
Chris@19 160 T1T = T1s + T1x;
Chris@19 161 T1y = T1s - T1x;
Chris@19 162 T2b = T29 - T2a;
Chris@19 163 T2h = T29 + T2a;
Chris@19 164 }
Chris@19 165 }
Chris@19 166 }
Chris@19 167 {
Chris@19 168 E Ta, T1z, T2B, TS, TT, Td, T2C, T1C, Ti, T1E, Th, T2E, TX, Tj, T1F;
Chris@19 169 E T1G;
Chris@19 170 {
Chris@19 171 E Tb, Tc, T1A, T1B;
Chris@19 172 {
Chris@19 173 E TQ, TR, T8, T9;
Chris@19 174 T8 = ri[WS(is, 4)];
Chris@19 175 T9 = ri[WS(is, 14)];
Chris@19 176 T1j = T1h + T1i;
Chris@19 177 T1Y = T1h - T1i;
Chris@19 178 TQ = ii[WS(is, 4)];
Chris@19 179 TR = ii[WS(is, 14)];
Chris@19 180 Ta = T8 + T9;
Chris@19 181 T1z = T8 - T9;
Chris@19 182 Tb = ri[WS(is, 9)];
Chris@19 183 T2B = TQ + TR;
Chris@19 184 TS = TQ - TR;
Chris@19 185 Tc = ri[WS(is, 19)];
Chris@19 186 T1A = ii[WS(is, 9)];
Chris@19 187 T1B = ii[WS(is, 19)];
Chris@19 188 }
Chris@19 189 {
Chris@19 190 E Tf, Tg, TV, TW;
Chris@19 191 Tf = ri[WS(is, 16)];
Chris@19 192 TT = Tb - Tc;
Chris@19 193 Td = Tb + Tc;
Chris@19 194 T2C = T1A + T1B;
Chris@19 195 T1C = T1A - T1B;
Chris@19 196 Tg = ri[WS(is, 6)];
Chris@19 197 TV = ii[WS(is, 16)];
Chris@19 198 TW = ii[WS(is, 6)];
Chris@19 199 Ti = ri[WS(is, 1)];
Chris@19 200 T1E = Tf - Tg;
Chris@19 201 Th = Tf + Tg;
Chris@19 202 T2E = TV + TW;
Chris@19 203 TX = TV - TW;
Chris@19 204 Tj = ri[WS(is, 11)];
Chris@19 205 T1F = ii[WS(is, 1)];
Chris@19 206 T1G = ii[WS(is, 11)];
Chris@19 207 }
Chris@19 208 }
Chris@19 209 {
Chris@19 210 E TE, TY, T1H, TF;
Chris@19 211 {
Chris@19 212 E Te, T2D, T32, Tl, T2G, T33, Tk, T2F;
Chris@19 213 TE = Ta + Td;
Chris@19 214 Te = Ta - Td;
Chris@19 215 TY = Ti - Tj;
Chris@19 216 Tk = Ti + Tj;
Chris@19 217 T2F = T1F + T1G;
Chris@19 218 T1H = T1F - T1G;
Chris@19 219 T2D = T2B - T2C;
Chris@19 220 T32 = T2B + T2C;
Chris@19 221 TF = Th + Tk;
Chris@19 222 Tl = Th - Tk;
Chris@19 223 T2G = T2E - T2F;
Chris@19 224 T33 = T2E + T2F;
Chris@19 225 T2V = Te - Tl;
Chris@19 226 Tm = Te + Tl;
Chris@19 227 T2O = T2D + T2G;
Chris@19 228 T2H = T2D - T2G;
Chris@19 229 T3c = T32 + T33;
Chris@19 230 T34 = T32 - T33;
Chris@19 231 }
Chris@19 232 {
Chris@19 233 E T1D, T26, T1I, T27, TU, TZ;
Chris@19 234 TU = TS - TT;
Chris@19 235 T1e = TT + TS;
Chris@19 236 T1f = TY + TX;
Chris@19 237 TZ = TX - TY;
Chris@19 238 T1D = T1z - T1C;
Chris@19 239 T26 = T1z + T1C;
Chris@19 240 T3i = TE - TF;
Chris@19 241 TG = TE + TF;
Chris@19 242 T1I = T1E - T1H;
Chris@19 243 T27 = T1E + T1H;
Chris@19 244 T2m = TU - TZ;
Chris@19 245 T10 = TU + TZ;
Chris@19 246 T1S = T1D + T1I;
Chris@19 247 T1J = T1D - T1I;
Chris@19 248 T28 = T26 - T27;
Chris@19 249 T2g = T26 + T27;
Chris@19 250 }
Chris@19 251 }
Chris@19 252 }
Chris@19 253 }
Chris@19 254 {
Chris@19 255 E T1g, T3g, T3f, T2S, T2R, T2k, T2j;
Chris@19 256 {
Chris@19 257 E T2s, T2r, TC, T2Q;
Chris@19 258 T2s = Tm - TB;
Chris@19 259 TC = Tm + TB;
Chris@19 260 T1g = T1e + T1f;
Chris@19 261 T1Z = T1e - T1f;
Chris@19 262 T2r = FNMS(KP250000000, TC, T7);
Chris@19 263 ro[WS(os, 10)] = T7 + TC;
Chris@19 264 T2Q = T2O + T2P;
Chris@19 265 T2S = T2O - T2P;
Chris@19 266 {
Chris@19 267 E T2K, T2I, T2t, T2J;
Chris@19 268 T2K = FMA(KP618033988, T2A, T2H);
Chris@19 269 T2I = FNMS(KP618033988, T2H, T2A);
Chris@19 270 T2t = FNMS(KP559016994, T2s, T2r);
Chris@19 271 T2J = FMA(KP559016994, T2s, T2r);
Chris@19 272 ro[WS(os, 18)] = FMA(KP951056516, T2I, T2t);
Chris@19 273 ro[WS(os, 2)] = FNMS(KP951056516, T2I, T2t);
Chris@19 274 ro[WS(os, 6)] = FMA(KP951056516, T2K, T2J);
Chris@19 275 ro[WS(os, 14)] = FNMS(KP951056516, T2K, T2J);
Chris@19 276 T2R = FNMS(KP250000000, T2Q, T2N);
Chris@19 277 }
Chris@19 278 io[WS(os, 10)] = T2N + T2Q;
Chris@19 279 }
Chris@19 280 {
Chris@19 281 E T30, T2Z, TK, T3e;
Chris@19 282 TK = TG + TJ;
Chris@19 283 T30 = TG - TJ;
Chris@19 284 {
Chris@19 285 E T2T, T2X, T2Y, T2W;
Chris@19 286 T2T = FNMS(KP559016994, T2S, T2R);
Chris@19 287 T2X = FMA(KP559016994, T2S, T2R);
Chris@19 288 T2Y = FMA(KP618033988, T2U, T2V);
Chris@19 289 T2W = FNMS(KP618033988, T2V, T2U);
Chris@19 290 io[WS(os, 14)] = FMA(KP951056516, T2Y, T2X);
Chris@19 291 io[WS(os, 6)] = FNMS(KP951056516, T2Y, T2X);
Chris@19 292 io[WS(os, 18)] = FNMS(KP951056516, T2W, T2T);
Chris@19 293 io[WS(os, 2)] = FMA(KP951056516, T2W, T2T);
Chris@19 294 T2Z = FNMS(KP250000000, TK, TD);
Chris@19 295 }
Chris@19 296 ro[0] = TD + TK;
Chris@19 297 T3e = T3c + T3d;
Chris@19 298 T3g = T3c - T3d;
Chris@19 299 {
Chris@19 300 E T31, T39, T3a, T38;
Chris@19 301 T31 = FMA(KP559016994, T30, T2Z);
Chris@19 302 T39 = FNMS(KP559016994, T30, T2Z);
Chris@19 303 T3a = FNMS(KP618033988, T34, T37);
Chris@19 304 T38 = FMA(KP618033988, T37, T34);
Chris@19 305 ro[WS(os, 8)] = FMA(KP951056516, T3a, T39);
Chris@19 306 ro[WS(os, 12)] = FNMS(KP951056516, T3a, T39);
Chris@19 307 ro[WS(os, 16)] = FMA(KP951056516, T38, T31);
Chris@19 308 ro[WS(os, 4)] = FNMS(KP951056516, T38, T31);
Chris@19 309 T3f = FNMS(KP250000000, T3e, T3b);
Chris@19 310 }
Chris@19 311 io[0] = T3b + T3e;
Chris@19 312 }
Chris@19 313 {
Chris@19 314 E T24, T23, T1c, T2i;
Chris@19 315 T1c = T10 + T1b;
Chris@19 316 T24 = T10 - T1b;
Chris@19 317 {
Chris@19 318 E T3h, T3l, T3m, T3k;
Chris@19 319 T3h = FMA(KP559016994, T3g, T3f);
Chris@19 320 T3l = FNMS(KP559016994, T3g, T3f);
Chris@19 321 T3m = FNMS(KP618033988, T3i, T3j);
Chris@19 322 T3k = FMA(KP618033988, T3j, T3i);
Chris@19 323 io[WS(os, 12)] = FMA(KP951056516, T3m, T3l);
Chris@19 324 io[WS(os, 8)] = FNMS(KP951056516, T3m, T3l);
Chris@19 325 io[WS(os, 16)] = FNMS(KP951056516, T3k, T3h);
Chris@19 326 io[WS(os, 4)] = FMA(KP951056516, T3k, T3h);
Chris@19 327 T23 = FNMS(KP250000000, T1c, TP);
Chris@19 328 }
Chris@19 329 io[WS(os, 5)] = TP + T1c;
Chris@19 330 T2i = T2g + T2h;
Chris@19 331 T2k = T2g - T2h;
Chris@19 332 {
Chris@19 333 E T25, T2d, T2e, T2c;
Chris@19 334 T25 = FMA(KP559016994, T24, T23);
Chris@19 335 T2d = FNMS(KP559016994, T24, T23);
Chris@19 336 T2e = FNMS(KP618033988, T28, T2b);
Chris@19 337 T2c = FMA(KP618033988, T2b, T28);
Chris@19 338 io[WS(os, 17)] = FMA(KP951056516, T2e, T2d);
Chris@19 339 io[WS(os, 13)] = FNMS(KP951056516, T2e, T2d);
Chris@19 340 io[WS(os, 9)] = FMA(KP951056516, T2c, T25);
Chris@19 341 io[WS(os, 1)] = FNMS(KP951056516, T2c, T25);
Chris@19 342 T2j = FNMS(KP250000000, T2i, T2f);
Chris@19 343 }
Chris@19 344 ro[WS(os, 5)] = T2f + T2i;
Chris@19 345 }
Chris@19 346 {
Chris@19 347 E T1m, T1l, T1k, T1U;
Chris@19 348 T1k = T1g + T1j;
Chris@19 349 T1m = T1g - T1j;
Chris@19 350 {
Chris@19 351 E T2l, T2p, T2q, T2o;
Chris@19 352 T2l = FMA(KP559016994, T2k, T2j);
Chris@19 353 T2p = FNMS(KP559016994, T2k, T2j);
Chris@19 354 T2q = FNMS(KP618033988, T2m, T2n);
Chris@19 355 T2o = FMA(KP618033988, T2n, T2m);
Chris@19 356 ro[WS(os, 17)] = FNMS(KP951056516, T2q, T2p);
Chris@19 357 ro[WS(os, 13)] = FMA(KP951056516, T2q, T2p);
Chris@19 358 ro[WS(os, 9)] = FNMS(KP951056516, T2o, T2l);
Chris@19 359 ro[WS(os, 1)] = FMA(KP951056516, T2o, T2l);
Chris@19 360 T1l = FNMS(KP250000000, T1k, T1d);
Chris@19 361 }
Chris@19 362 io[WS(os, 15)] = T1d + T1k;
Chris@19 363 T1U = T1S + T1T;
Chris@19 364 T1W = T1S - T1T;
Chris@19 365 {
Chris@19 366 E T1n, T1L, T1M, T1K;
Chris@19 367 T1n = FNMS(KP559016994, T1m, T1l);
Chris@19 368 T1L = FMA(KP559016994, T1m, T1l);
Chris@19 369 T1M = FMA(KP618033988, T1y, T1J);
Chris@19 370 T1K = FNMS(KP618033988, T1J, T1y);
Chris@19 371 io[WS(os, 19)] = FMA(KP951056516, T1M, T1L);
Chris@19 372 io[WS(os, 11)] = FNMS(KP951056516, T1M, T1L);
Chris@19 373 io[WS(os, 7)] = FMA(KP951056516, T1K, T1n);
Chris@19 374 io[WS(os, 3)] = FNMS(KP951056516, T1K, T1n);
Chris@19 375 T1V = FNMS(KP250000000, T1U, T1R);
Chris@19 376 }
Chris@19 377 ro[WS(os, 15)] = T1R + T1U;
Chris@19 378 }
Chris@19 379 }
Chris@19 380 }
Chris@19 381 {
Chris@19 382 E T21, T1X, T20, T22;
Chris@19 383 T21 = FMA(KP559016994, T1W, T1V);
Chris@19 384 T1X = FNMS(KP559016994, T1W, T1V);
Chris@19 385 T20 = FNMS(KP618033988, T1Z, T1Y);
Chris@19 386 T22 = FMA(KP618033988, T1Y, T1Z);
Chris@19 387 ro[WS(os, 19)] = FNMS(KP951056516, T22, T21);
Chris@19 388 ro[WS(os, 11)] = FMA(KP951056516, T22, T21);
Chris@19 389 ro[WS(os, 7)] = FNMS(KP951056516, T20, T1X);
Chris@19 390 ro[WS(os, 3)] = FMA(KP951056516, T20, T1X);
Chris@19 391 }
Chris@19 392 }
Chris@19 393 }
Chris@19 394 }
Chris@19 395
Chris@19 396 static const kdft_desc desc = { 20, "n1_20", {136, 0, 72, 0}, &GENUS, 0, 0, 0, 0 };
Chris@19 397
Chris@19 398 void X(codelet_n1_20) (planner *p) {
Chris@19 399 X(kdft_register) (p, n1_20, &desc);
Chris@19 400 }
Chris@19 401
Chris@19 402 #else /* HAVE_FMA */
Chris@19 403
Chris@19 404 /* Generated by: ../../../genfft/gen_notw.native -compact -variables 4 -pipeline-latency 4 -n 20 -name n1_20 -include n.h */
Chris@19 405
Chris@19 406 /*
Chris@19 407 * This function contains 208 FP additions, 48 FP multiplications,
Chris@19 408 * (or, 184 additions, 24 multiplications, 24 fused multiply/add),
Chris@19 409 * 81 stack variables, 4 constants, and 80 memory accesses
Chris@19 410 */
Chris@19 411 #include "n.h"
Chris@19 412
Chris@19 413 static void n1_20(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
Chris@19 414 {
Chris@19 415 DK(KP587785252, +0.587785252292473129168705954639072768597652438);
Chris@19 416 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
Chris@19 417 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
Chris@19 418 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
Chris@19 419 {
Chris@19 420 INT i;
Chris@19 421 for (i = v; i > 0; i = i - 1, ri = ri + ivs, ii = ii + ivs, ro = ro + ovs, io = io + ovs, MAKE_VOLATILE_STRIDE(80, is), MAKE_VOLATILE_STRIDE(80, os)) {
Chris@19 422 E T7, T2Q, T3h, TD, TP, T1U, T2l, T1d, Tt, TA, TB, T2w, T2z, T2S, T35;
Chris@19 423 E T36, T3f, TH, TI, TJ, T15, T1a, T1b, T1s, T1x, T1W, T29, T2a, T2j, T1h;
Chris@19 424 E T1i, T1j, Te, Tl, Tm, T2D, T2G, T2R, T32, T33, T3e, TE, TF, TG, TU;
Chris@19 425 E TZ, T10, T1D, T1I, T1V, T26, T27, T2i, T1e, T1f, T1g;
Chris@19 426 {
Chris@19 427 E T3, T1Q, TN, T2O, T6, TO, T1T, T2P;
Chris@19 428 {
Chris@19 429 E T1, T2, TL, TM;
Chris@19 430 T1 = ri[0];
Chris@19 431 T2 = ri[WS(is, 10)];
Chris@19 432 T3 = T1 + T2;
Chris@19 433 T1Q = T1 - T2;
Chris@19 434 TL = ii[0];
Chris@19 435 TM = ii[WS(is, 10)];
Chris@19 436 TN = TL - TM;
Chris@19 437 T2O = TL + TM;
Chris@19 438 }
Chris@19 439 {
Chris@19 440 E T4, T5, T1R, T1S;
Chris@19 441 T4 = ri[WS(is, 5)];
Chris@19 442 T5 = ri[WS(is, 15)];
Chris@19 443 T6 = T4 + T5;
Chris@19 444 TO = T4 - T5;
Chris@19 445 T1R = ii[WS(is, 5)];
Chris@19 446 T1S = ii[WS(is, 15)];
Chris@19 447 T1T = T1R - T1S;
Chris@19 448 T2P = T1R + T1S;
Chris@19 449 }
Chris@19 450 T7 = T3 - T6;
Chris@19 451 T2Q = T2O - T2P;
Chris@19 452 T3h = T2O + T2P;
Chris@19 453 TD = T3 + T6;
Chris@19 454 TP = TN - TO;
Chris@19 455 T1U = T1Q - T1T;
Chris@19 456 T2l = T1Q + T1T;
Chris@19 457 T1d = TO + TN;
Chris@19 458 }
Chris@19 459 {
Chris@19 460 E Tp, T1o, T13, T2u, Ts, T14, T1r, T2v, Tw, T1t, T18, T2x, Tz, T19, T1w;
Chris@19 461 E T2y;
Chris@19 462 {
Chris@19 463 E Tn, To, T11, T12;
Chris@19 464 Tn = ri[WS(is, 8)];
Chris@19 465 To = ri[WS(is, 18)];
Chris@19 466 Tp = Tn + To;
Chris@19 467 T1o = Tn - To;
Chris@19 468 T11 = ii[WS(is, 8)];
Chris@19 469 T12 = ii[WS(is, 18)];
Chris@19 470 T13 = T11 - T12;
Chris@19 471 T2u = T11 + T12;
Chris@19 472 }
Chris@19 473 {
Chris@19 474 E Tq, Tr, T1p, T1q;
Chris@19 475 Tq = ri[WS(is, 13)];
Chris@19 476 Tr = ri[WS(is, 3)];
Chris@19 477 Ts = Tq + Tr;
Chris@19 478 T14 = Tq - Tr;
Chris@19 479 T1p = ii[WS(is, 13)];
Chris@19 480 T1q = ii[WS(is, 3)];
Chris@19 481 T1r = T1p - T1q;
Chris@19 482 T2v = T1p + T1q;
Chris@19 483 }
Chris@19 484 {
Chris@19 485 E Tu, Tv, T16, T17;
Chris@19 486 Tu = ri[WS(is, 12)];
Chris@19 487 Tv = ri[WS(is, 2)];
Chris@19 488 Tw = Tu + Tv;
Chris@19 489 T1t = Tu - Tv;
Chris@19 490 T16 = ii[WS(is, 12)];
Chris@19 491 T17 = ii[WS(is, 2)];
Chris@19 492 T18 = T16 - T17;
Chris@19 493 T2x = T16 + T17;
Chris@19 494 }
Chris@19 495 {
Chris@19 496 E Tx, Ty, T1u, T1v;
Chris@19 497 Tx = ri[WS(is, 17)];
Chris@19 498 Ty = ri[WS(is, 7)];
Chris@19 499 Tz = Tx + Ty;
Chris@19 500 T19 = Tx - Ty;
Chris@19 501 T1u = ii[WS(is, 17)];
Chris@19 502 T1v = ii[WS(is, 7)];
Chris@19 503 T1w = T1u - T1v;
Chris@19 504 T2y = T1u + T1v;
Chris@19 505 }
Chris@19 506 Tt = Tp - Ts;
Chris@19 507 TA = Tw - Tz;
Chris@19 508 TB = Tt + TA;
Chris@19 509 T2w = T2u - T2v;
Chris@19 510 T2z = T2x - T2y;
Chris@19 511 T2S = T2w + T2z;
Chris@19 512 T35 = T2u + T2v;
Chris@19 513 T36 = T2x + T2y;
Chris@19 514 T3f = T35 + T36;
Chris@19 515 TH = Tp + Ts;
Chris@19 516 TI = Tw + Tz;
Chris@19 517 TJ = TH + TI;
Chris@19 518 T15 = T13 - T14;
Chris@19 519 T1a = T18 - T19;
Chris@19 520 T1b = T15 + T1a;
Chris@19 521 T1s = T1o - T1r;
Chris@19 522 T1x = T1t - T1w;
Chris@19 523 T1W = T1s + T1x;
Chris@19 524 T29 = T1o + T1r;
Chris@19 525 T2a = T1t + T1w;
Chris@19 526 T2j = T29 + T2a;
Chris@19 527 T1h = T14 + T13;
Chris@19 528 T1i = T19 + T18;
Chris@19 529 T1j = T1h + T1i;
Chris@19 530 }
Chris@19 531 {
Chris@19 532 E Ta, T1z, TS, T2B, Td, TT, T1C, T2C, Th, T1E, TX, T2E, Tk, TY, T1H;
Chris@19 533 E T2F;
Chris@19 534 {
Chris@19 535 E T8, T9, TQ, TR;
Chris@19 536 T8 = ri[WS(is, 4)];
Chris@19 537 T9 = ri[WS(is, 14)];
Chris@19 538 Ta = T8 + T9;
Chris@19 539 T1z = T8 - T9;
Chris@19 540 TQ = ii[WS(is, 4)];
Chris@19 541 TR = ii[WS(is, 14)];
Chris@19 542 TS = TQ - TR;
Chris@19 543 T2B = TQ + TR;
Chris@19 544 }
Chris@19 545 {
Chris@19 546 E Tb, Tc, T1A, T1B;
Chris@19 547 Tb = ri[WS(is, 9)];
Chris@19 548 Tc = ri[WS(is, 19)];
Chris@19 549 Td = Tb + Tc;
Chris@19 550 TT = Tb - Tc;
Chris@19 551 T1A = ii[WS(is, 9)];
Chris@19 552 T1B = ii[WS(is, 19)];
Chris@19 553 T1C = T1A - T1B;
Chris@19 554 T2C = T1A + T1B;
Chris@19 555 }
Chris@19 556 {
Chris@19 557 E Tf, Tg, TV, TW;
Chris@19 558 Tf = ri[WS(is, 16)];
Chris@19 559 Tg = ri[WS(is, 6)];
Chris@19 560 Th = Tf + Tg;
Chris@19 561 T1E = Tf - Tg;
Chris@19 562 TV = ii[WS(is, 16)];
Chris@19 563 TW = ii[WS(is, 6)];
Chris@19 564 TX = TV - TW;
Chris@19 565 T2E = TV + TW;
Chris@19 566 }
Chris@19 567 {
Chris@19 568 E Ti, Tj, T1F, T1G;
Chris@19 569 Ti = ri[WS(is, 1)];
Chris@19 570 Tj = ri[WS(is, 11)];
Chris@19 571 Tk = Ti + Tj;
Chris@19 572 TY = Ti - Tj;
Chris@19 573 T1F = ii[WS(is, 1)];
Chris@19 574 T1G = ii[WS(is, 11)];
Chris@19 575 T1H = T1F - T1G;
Chris@19 576 T2F = T1F + T1G;
Chris@19 577 }
Chris@19 578 Te = Ta - Td;
Chris@19 579 Tl = Th - Tk;
Chris@19 580 Tm = Te + Tl;
Chris@19 581 T2D = T2B - T2C;
Chris@19 582 T2G = T2E - T2F;
Chris@19 583 T2R = T2D + T2G;
Chris@19 584 T32 = T2B + T2C;
Chris@19 585 T33 = T2E + T2F;
Chris@19 586 T3e = T32 + T33;
Chris@19 587 TE = Ta + Td;
Chris@19 588 TF = Th + Tk;
Chris@19 589 TG = TE + TF;
Chris@19 590 TU = TS - TT;
Chris@19 591 TZ = TX - TY;
Chris@19 592 T10 = TU + TZ;
Chris@19 593 T1D = T1z - T1C;
Chris@19 594 T1I = T1E - T1H;
Chris@19 595 T1V = T1D + T1I;
Chris@19 596 T26 = T1z + T1C;
Chris@19 597 T27 = T1E + T1H;
Chris@19 598 T2i = T26 + T27;
Chris@19 599 T1e = TT + TS;
Chris@19 600 T1f = TY + TX;
Chris@19 601 T1g = T1e + T1f;
Chris@19 602 }
Chris@19 603 {
Chris@19 604 E T2s, TC, T2r, T2I, T2K, T2A, T2H, T2J, T2t;
Chris@19 605 T2s = KP559016994 * (Tm - TB);
Chris@19 606 TC = Tm + TB;
Chris@19 607 T2r = FNMS(KP250000000, TC, T7);
Chris@19 608 T2A = T2w - T2z;
Chris@19 609 T2H = T2D - T2G;
Chris@19 610 T2I = FNMS(KP587785252, T2H, KP951056516 * T2A);
Chris@19 611 T2K = FMA(KP951056516, T2H, KP587785252 * T2A);
Chris@19 612 ro[WS(os, 10)] = T7 + TC;
Chris@19 613 T2J = T2s + T2r;
Chris@19 614 ro[WS(os, 14)] = T2J - T2K;
Chris@19 615 ro[WS(os, 6)] = T2J + T2K;
Chris@19 616 T2t = T2r - T2s;
Chris@19 617 ro[WS(os, 2)] = T2t - T2I;
Chris@19 618 ro[WS(os, 18)] = T2t + T2I;
Chris@19 619 }
Chris@19 620 {
Chris@19 621 E T2V, T2T, T2U, T2N, T2Y, T2L, T2M, T2X, T2W;
Chris@19 622 T2V = KP559016994 * (T2R - T2S);
Chris@19 623 T2T = T2R + T2S;
Chris@19 624 T2U = FNMS(KP250000000, T2T, T2Q);
Chris@19 625 T2L = Tt - TA;
Chris@19 626 T2M = Te - Tl;
Chris@19 627 T2N = FNMS(KP587785252, T2M, KP951056516 * T2L);
Chris@19 628 T2Y = FMA(KP951056516, T2M, KP587785252 * T2L);
Chris@19 629 io[WS(os, 10)] = T2Q + T2T;
Chris@19 630 T2X = T2V + T2U;
Chris@19 631 io[WS(os, 6)] = T2X - T2Y;
Chris@19 632 io[WS(os, 14)] = T2Y + T2X;
Chris@19 633 T2W = T2U - T2V;
Chris@19 634 io[WS(os, 2)] = T2N + T2W;
Chris@19 635 io[WS(os, 18)] = T2W - T2N;
Chris@19 636 }
Chris@19 637 {
Chris@19 638 E T2Z, TK, T30, T38, T3a, T34, T37, T39, T31;
Chris@19 639 T2Z = KP559016994 * (TG - TJ);
Chris@19 640 TK = TG + TJ;
Chris@19 641 T30 = FNMS(KP250000000, TK, TD);
Chris@19 642 T34 = T32 - T33;
Chris@19 643 T37 = T35 - T36;
Chris@19 644 T38 = FMA(KP951056516, T34, KP587785252 * T37);
Chris@19 645 T3a = FNMS(KP587785252, T34, KP951056516 * T37);
Chris@19 646 ro[0] = TD + TK;
Chris@19 647 T39 = T30 - T2Z;
Chris@19 648 ro[WS(os, 12)] = T39 - T3a;
Chris@19 649 ro[WS(os, 8)] = T39 + T3a;
Chris@19 650 T31 = T2Z + T30;
Chris@19 651 ro[WS(os, 4)] = T31 - T38;
Chris@19 652 ro[WS(os, 16)] = T31 + T38;
Chris@19 653 }
Chris@19 654 {
Chris@19 655 E T3g, T3i, T3j, T3d, T3m, T3b, T3c, T3l, T3k;
Chris@19 656 T3g = KP559016994 * (T3e - T3f);
Chris@19 657 T3i = T3e + T3f;
Chris@19 658 T3j = FNMS(KP250000000, T3i, T3h);
Chris@19 659 T3b = TE - TF;
Chris@19 660 T3c = TH - TI;
Chris@19 661 T3d = FMA(KP951056516, T3b, KP587785252 * T3c);
Chris@19 662 T3m = FNMS(KP587785252, T3b, KP951056516 * T3c);
Chris@19 663 io[0] = T3h + T3i;
Chris@19 664 T3l = T3j - T3g;
Chris@19 665 io[WS(os, 8)] = T3l - T3m;
Chris@19 666 io[WS(os, 12)] = T3m + T3l;
Chris@19 667 T3k = T3g + T3j;
Chris@19 668 io[WS(os, 4)] = T3d + T3k;
Chris@19 669 io[WS(os, 16)] = T3k - T3d;
Chris@19 670 }
Chris@19 671 {
Chris@19 672 E T23, T1c, T24, T2c, T2e, T28, T2b, T2d, T25;
Chris@19 673 T23 = KP559016994 * (T10 - T1b);
Chris@19 674 T1c = T10 + T1b;
Chris@19 675 T24 = FNMS(KP250000000, T1c, TP);
Chris@19 676 T28 = T26 - T27;
Chris@19 677 T2b = T29 - T2a;
Chris@19 678 T2c = FMA(KP951056516, T28, KP587785252 * T2b);
Chris@19 679 T2e = FNMS(KP587785252, T28, KP951056516 * T2b);
Chris@19 680 io[WS(os, 5)] = TP + T1c;
Chris@19 681 T2d = T24 - T23;
Chris@19 682 io[WS(os, 13)] = T2d - T2e;
Chris@19 683 io[WS(os, 17)] = T2d + T2e;
Chris@19 684 T25 = T23 + T24;
Chris@19 685 io[WS(os, 1)] = T25 - T2c;
Chris@19 686 io[WS(os, 9)] = T25 + T2c;
Chris@19 687 }
Chris@19 688 {
Chris@19 689 E T2k, T2m, T2n, T2h, T2p, T2f, T2g, T2q, T2o;
Chris@19 690 T2k = KP559016994 * (T2i - T2j);
Chris@19 691 T2m = T2i + T2j;
Chris@19 692 T2n = FNMS(KP250000000, T2m, T2l);
Chris@19 693 T2f = TU - TZ;
Chris@19 694 T2g = T15 - T1a;
Chris@19 695 T2h = FMA(KP951056516, T2f, KP587785252 * T2g);
Chris@19 696 T2p = FNMS(KP587785252, T2f, KP951056516 * T2g);
Chris@19 697 ro[WS(os, 5)] = T2l + T2m;
Chris@19 698 T2q = T2n - T2k;
Chris@19 699 ro[WS(os, 13)] = T2p + T2q;
Chris@19 700 ro[WS(os, 17)] = T2q - T2p;
Chris@19 701 T2o = T2k + T2n;
Chris@19 702 ro[WS(os, 1)] = T2h + T2o;
Chris@19 703 ro[WS(os, 9)] = T2o - T2h;
Chris@19 704 }
Chris@19 705 {
Chris@19 706 E T1m, T1k, T1l, T1K, T1M, T1y, T1J, T1L, T1n;
Chris@19 707 T1m = KP559016994 * (T1g - T1j);
Chris@19 708 T1k = T1g + T1j;
Chris@19 709 T1l = FNMS(KP250000000, T1k, T1d);
Chris@19 710 T1y = T1s - T1x;
Chris@19 711 T1J = T1D - T1I;
Chris@19 712 T1K = FNMS(KP587785252, T1J, KP951056516 * T1y);
Chris@19 713 T1M = FMA(KP951056516, T1J, KP587785252 * T1y);
Chris@19 714 io[WS(os, 15)] = T1d + T1k;
Chris@19 715 T1L = T1m + T1l;
Chris@19 716 io[WS(os, 11)] = T1L - T1M;
Chris@19 717 io[WS(os, 19)] = T1L + T1M;
Chris@19 718 T1n = T1l - T1m;
Chris@19 719 io[WS(os, 3)] = T1n - T1K;
Chris@19 720 io[WS(os, 7)] = T1n + T1K;
Chris@19 721 }
Chris@19 722 {
Chris@19 723 E T1Z, T1X, T1Y, T1P, T21, T1N, T1O, T22, T20;
Chris@19 724 T1Z = KP559016994 * (T1V - T1W);
Chris@19 725 T1X = T1V + T1W;
Chris@19 726 T1Y = FNMS(KP250000000, T1X, T1U);
Chris@19 727 T1N = T1h - T1i;
Chris@19 728 T1O = T1e - T1f;
Chris@19 729 T1P = FNMS(KP587785252, T1O, KP951056516 * T1N);
Chris@19 730 T21 = FMA(KP951056516, T1O, KP587785252 * T1N);
Chris@19 731 ro[WS(os, 15)] = T1U + T1X;
Chris@19 732 T22 = T1Z + T1Y;
Chris@19 733 ro[WS(os, 11)] = T21 + T22;
Chris@19 734 ro[WS(os, 19)] = T22 - T21;
Chris@19 735 T20 = T1Y - T1Z;
Chris@19 736 ro[WS(os, 3)] = T1P + T20;
Chris@19 737 ro[WS(os, 7)] = T20 - T1P;
Chris@19 738 }
Chris@19 739 }
Chris@19 740 }
Chris@19 741 }
Chris@19 742
Chris@19 743 static const kdft_desc desc = { 20, "n1_20", {184, 24, 24, 0}, &GENUS, 0, 0, 0, 0 };
Chris@19 744
Chris@19 745 void X(codelet_n1_20) (planner *p) {
Chris@19 746 X(kdft_register) (p, n1_20, &desc);
Chris@19 747 }
Chris@19 748
Chris@19 749 #endif /* HAVE_FMA */