annotate src/fftw-3.3.3/dft/scalar/codelets/n1_20.c @ 95:89f5e221ed7b

Add FFTW3
author Chris Cannam <cannam@all-day-breakfast.com>
date Wed, 20 Mar 2013 15:35:50 +0000
parents
children
rev   line source
cannam@95 1 /*
cannam@95 2 * Copyright (c) 2003, 2007-11 Matteo Frigo
cannam@95 3 * Copyright (c) 2003, 2007-11 Massachusetts Institute of Technology
cannam@95 4 *
cannam@95 5 * This program is free software; you can redistribute it and/or modify
cannam@95 6 * it under the terms of the GNU General Public License as published by
cannam@95 7 * the Free Software Foundation; either version 2 of the License, or
cannam@95 8 * (at your option) any later version.
cannam@95 9 *
cannam@95 10 * This program is distributed in the hope that it will be useful,
cannam@95 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
cannam@95 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
cannam@95 13 * GNU General Public License for more details.
cannam@95 14 *
cannam@95 15 * You should have received a copy of the GNU General Public License
cannam@95 16 * along with this program; if not, write to the Free Software
cannam@95 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
cannam@95 18 *
cannam@95 19 */
cannam@95 20
cannam@95 21 /* This file was automatically generated --- DO NOT EDIT */
cannam@95 22 /* Generated on Sun Nov 25 07:35:46 EST 2012 */
cannam@95 23
cannam@95 24 #include "codelet-dft.h"
cannam@95 25
cannam@95 26 #ifdef HAVE_FMA
cannam@95 27
cannam@95 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 */
cannam@95 29
cannam@95 30 /*
cannam@95 31 * This function contains 208 FP additions, 72 FP multiplications,
cannam@95 32 * (or, 136 additions, 0 multiplications, 72 fused multiply/add),
cannam@95 33 * 86 stack variables, 4 constants, and 80 memory accesses
cannam@95 34 */
cannam@95 35 #include "n.h"
cannam@95 36
cannam@95 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)
cannam@95 38 {
cannam@95 39 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
cannam@95 40 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
cannam@95 41 DK(KP618033988, +0.618033988749894848204586834365638117720309180);
cannam@95 42 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
cannam@95 43 {
cannam@95 44 INT i;
cannam@95 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)) {
cannam@95 46 E T1Y, T1Z, T1W, T1V;
cannam@95 47 {
cannam@95 48 E T1d, TP, TD, T7, T3b, T2N, T2f, T1R, T2U, TB, T2P, T2A, T3d, T37, T3j;
cannam@95 49 E TJ, T2n, T1b, T1T, T1y, T2b, T2h, T1j, T2V, Tm, T2O, T2H, T3c, T34, T1e;
cannam@95 50 E T1f, T3i, TG, T2m, T10, T1S, T1J, T28, T2g;
cannam@95 51 {
cannam@95 52 E T4, T1N, T3, T2L, TN, T5, T1O, T1P, T1h, T1i;
cannam@95 53 {
cannam@95 54 E T1, T2, TL, TM;
cannam@95 55 T1 = ri[0];
cannam@95 56 T2 = ri[WS(is, 10)];
cannam@95 57 TL = ii[0];
cannam@95 58 TM = ii[WS(is, 10)];
cannam@95 59 T4 = ri[WS(is, 5)];
cannam@95 60 T1N = T1 - T2;
cannam@95 61 T3 = T1 + T2;
cannam@95 62 T2L = TL + TM;
cannam@95 63 TN = TL - TM;
cannam@95 64 T5 = ri[WS(is, 15)];
cannam@95 65 T1O = ii[WS(is, 5)];
cannam@95 66 T1P = ii[WS(is, 15)];
cannam@95 67 }
cannam@95 68 {
cannam@95 69 E T1o, Tp, T2u, T13, T14, Ts, T2v, T1r, Tx, T1t, Tw, T2x, T18, Ty, T1u;
cannam@95 70 E T1v;
cannam@95 71 {
cannam@95 72 E Tq, Tr, T1p, T1q;
cannam@95 73 {
cannam@95 74 E Tn, To, T11, T12;
cannam@95 75 Tn = ri[WS(is, 8)];
cannam@95 76 {
cannam@95 77 E TO, T6, T2M, T1Q;
cannam@95 78 TO = T4 - T5;
cannam@95 79 T6 = T4 + T5;
cannam@95 80 T2M = T1O + T1P;
cannam@95 81 T1Q = T1O - T1P;
cannam@95 82 T1d = TO + TN;
cannam@95 83 TP = TN - TO;
cannam@95 84 TD = T3 + T6;
cannam@95 85 T7 = T3 - T6;
cannam@95 86 T3b = T2L + T2M;
cannam@95 87 T2N = T2L - T2M;
cannam@95 88 T2f = T1N + T1Q;
cannam@95 89 T1R = T1N - T1Q;
cannam@95 90 To = ri[WS(is, 18)];
cannam@95 91 }
cannam@95 92 T11 = ii[WS(is, 8)];
cannam@95 93 T12 = ii[WS(is, 18)];
cannam@95 94 Tq = ri[WS(is, 13)];
cannam@95 95 T1o = Tn - To;
cannam@95 96 Tp = Tn + To;
cannam@95 97 T2u = T11 + T12;
cannam@95 98 T13 = T11 - T12;
cannam@95 99 Tr = ri[WS(is, 3)];
cannam@95 100 T1p = ii[WS(is, 13)];
cannam@95 101 T1q = ii[WS(is, 3)];
cannam@95 102 }
cannam@95 103 {
cannam@95 104 E Tu, Tv, T16, T17;
cannam@95 105 Tu = ri[WS(is, 12)];
cannam@95 106 T14 = Tq - Tr;
cannam@95 107 Ts = Tq + Tr;
cannam@95 108 T2v = T1p + T1q;
cannam@95 109 T1r = T1p - T1q;
cannam@95 110 Tv = ri[WS(is, 2)];
cannam@95 111 T16 = ii[WS(is, 12)];
cannam@95 112 T17 = ii[WS(is, 2)];
cannam@95 113 Tx = ri[WS(is, 17)];
cannam@95 114 T1t = Tu - Tv;
cannam@95 115 Tw = Tu + Tv;
cannam@95 116 T2x = T16 + T17;
cannam@95 117 T18 = T16 - T17;
cannam@95 118 Ty = ri[WS(is, 7)];
cannam@95 119 T1u = ii[WS(is, 17)];
cannam@95 120 T1v = ii[WS(is, 7)];
cannam@95 121 }
cannam@95 122 }
cannam@95 123 {
cannam@95 124 E TH, T19, T1w, TI;
cannam@95 125 {
cannam@95 126 E Tt, T2w, T35, TA, T2z, T36, Tz, T2y;
cannam@95 127 TH = Tp + Ts;
cannam@95 128 Tt = Tp - Ts;
cannam@95 129 T19 = Tx - Ty;
cannam@95 130 Tz = Tx + Ty;
cannam@95 131 T2y = T1u + T1v;
cannam@95 132 T1w = T1u - T1v;
cannam@95 133 T2w = T2u - T2v;
cannam@95 134 T35 = T2u + T2v;
cannam@95 135 TI = Tw + Tz;
cannam@95 136 TA = Tw - Tz;
cannam@95 137 T2z = T2x - T2y;
cannam@95 138 T36 = T2x + T2y;
cannam@95 139 T2U = Tt - TA;
cannam@95 140 TB = Tt + TA;
cannam@95 141 T2P = T2w + T2z;
cannam@95 142 T2A = T2w - T2z;
cannam@95 143 T3d = T35 + T36;
cannam@95 144 T37 = T35 - T36;
cannam@95 145 }
cannam@95 146 {
cannam@95 147 E T1s, T29, T1x, T2a, T15, T1a;
cannam@95 148 T15 = T13 - T14;
cannam@95 149 T1h = T14 + T13;
cannam@95 150 T1i = T19 + T18;
cannam@95 151 T1a = T18 - T19;
cannam@95 152 T1s = T1o - T1r;
cannam@95 153 T29 = T1o + T1r;
cannam@95 154 T3j = TH - TI;
cannam@95 155 TJ = TH + TI;
cannam@95 156 T1x = T1t - T1w;
cannam@95 157 T2a = T1t + T1w;
cannam@95 158 T2n = T15 - T1a;
cannam@95 159 T1b = T15 + T1a;
cannam@95 160 T1T = T1s + T1x;
cannam@95 161 T1y = T1s - T1x;
cannam@95 162 T2b = T29 - T2a;
cannam@95 163 T2h = T29 + T2a;
cannam@95 164 }
cannam@95 165 }
cannam@95 166 }
cannam@95 167 {
cannam@95 168 E Ta, T1z, T2B, TS, TT, Td, T2C, T1C, Ti, T1E, Th, T2E, TX, Tj, T1F;
cannam@95 169 E T1G;
cannam@95 170 {
cannam@95 171 E Tb, Tc, T1A, T1B;
cannam@95 172 {
cannam@95 173 E TQ, TR, T8, T9;
cannam@95 174 T8 = ri[WS(is, 4)];
cannam@95 175 T9 = ri[WS(is, 14)];
cannam@95 176 T1j = T1h + T1i;
cannam@95 177 T1Y = T1h - T1i;
cannam@95 178 TQ = ii[WS(is, 4)];
cannam@95 179 TR = ii[WS(is, 14)];
cannam@95 180 Ta = T8 + T9;
cannam@95 181 T1z = T8 - T9;
cannam@95 182 Tb = ri[WS(is, 9)];
cannam@95 183 T2B = TQ + TR;
cannam@95 184 TS = TQ - TR;
cannam@95 185 Tc = ri[WS(is, 19)];
cannam@95 186 T1A = ii[WS(is, 9)];
cannam@95 187 T1B = ii[WS(is, 19)];
cannam@95 188 }
cannam@95 189 {
cannam@95 190 E Tf, Tg, TV, TW;
cannam@95 191 Tf = ri[WS(is, 16)];
cannam@95 192 TT = Tb - Tc;
cannam@95 193 Td = Tb + Tc;
cannam@95 194 T2C = T1A + T1B;
cannam@95 195 T1C = T1A - T1B;
cannam@95 196 Tg = ri[WS(is, 6)];
cannam@95 197 TV = ii[WS(is, 16)];
cannam@95 198 TW = ii[WS(is, 6)];
cannam@95 199 Ti = ri[WS(is, 1)];
cannam@95 200 T1E = Tf - Tg;
cannam@95 201 Th = Tf + Tg;
cannam@95 202 T2E = TV + TW;
cannam@95 203 TX = TV - TW;
cannam@95 204 Tj = ri[WS(is, 11)];
cannam@95 205 T1F = ii[WS(is, 1)];
cannam@95 206 T1G = ii[WS(is, 11)];
cannam@95 207 }
cannam@95 208 }
cannam@95 209 {
cannam@95 210 E TE, TY, T1H, TF;
cannam@95 211 {
cannam@95 212 E Te, T2D, T32, Tl, T2G, T33, Tk, T2F;
cannam@95 213 TE = Ta + Td;
cannam@95 214 Te = Ta - Td;
cannam@95 215 TY = Ti - Tj;
cannam@95 216 Tk = Ti + Tj;
cannam@95 217 T2F = T1F + T1G;
cannam@95 218 T1H = T1F - T1G;
cannam@95 219 T2D = T2B - T2C;
cannam@95 220 T32 = T2B + T2C;
cannam@95 221 TF = Th + Tk;
cannam@95 222 Tl = Th - Tk;
cannam@95 223 T2G = T2E - T2F;
cannam@95 224 T33 = T2E + T2F;
cannam@95 225 T2V = Te - Tl;
cannam@95 226 Tm = Te + Tl;
cannam@95 227 T2O = T2D + T2G;
cannam@95 228 T2H = T2D - T2G;
cannam@95 229 T3c = T32 + T33;
cannam@95 230 T34 = T32 - T33;
cannam@95 231 }
cannam@95 232 {
cannam@95 233 E T1D, T26, T1I, T27, TU, TZ;
cannam@95 234 TU = TS - TT;
cannam@95 235 T1e = TT + TS;
cannam@95 236 T1f = TY + TX;
cannam@95 237 TZ = TX - TY;
cannam@95 238 T1D = T1z - T1C;
cannam@95 239 T26 = T1z + T1C;
cannam@95 240 T3i = TE - TF;
cannam@95 241 TG = TE + TF;
cannam@95 242 T1I = T1E - T1H;
cannam@95 243 T27 = T1E + T1H;
cannam@95 244 T2m = TU - TZ;
cannam@95 245 T10 = TU + TZ;
cannam@95 246 T1S = T1D + T1I;
cannam@95 247 T1J = T1D - T1I;
cannam@95 248 T28 = T26 - T27;
cannam@95 249 T2g = T26 + T27;
cannam@95 250 }
cannam@95 251 }
cannam@95 252 }
cannam@95 253 }
cannam@95 254 {
cannam@95 255 E T1g, T3g, T3f, T2S, T2R, T2k, T2j;
cannam@95 256 {
cannam@95 257 E T2s, T2r, TC, T2Q;
cannam@95 258 T2s = Tm - TB;
cannam@95 259 TC = Tm + TB;
cannam@95 260 T1g = T1e + T1f;
cannam@95 261 T1Z = T1e - T1f;
cannam@95 262 T2r = FNMS(KP250000000, TC, T7);
cannam@95 263 ro[WS(os, 10)] = T7 + TC;
cannam@95 264 T2Q = T2O + T2P;
cannam@95 265 T2S = T2O - T2P;
cannam@95 266 {
cannam@95 267 E T2K, T2I, T2t, T2J;
cannam@95 268 T2K = FMA(KP618033988, T2A, T2H);
cannam@95 269 T2I = FNMS(KP618033988, T2H, T2A);
cannam@95 270 T2t = FNMS(KP559016994, T2s, T2r);
cannam@95 271 T2J = FMA(KP559016994, T2s, T2r);
cannam@95 272 ro[WS(os, 18)] = FMA(KP951056516, T2I, T2t);
cannam@95 273 ro[WS(os, 2)] = FNMS(KP951056516, T2I, T2t);
cannam@95 274 ro[WS(os, 6)] = FMA(KP951056516, T2K, T2J);
cannam@95 275 ro[WS(os, 14)] = FNMS(KP951056516, T2K, T2J);
cannam@95 276 T2R = FNMS(KP250000000, T2Q, T2N);
cannam@95 277 }
cannam@95 278 io[WS(os, 10)] = T2N + T2Q;
cannam@95 279 }
cannam@95 280 {
cannam@95 281 E T30, T2Z, TK, T3e;
cannam@95 282 TK = TG + TJ;
cannam@95 283 T30 = TG - TJ;
cannam@95 284 {
cannam@95 285 E T2T, T2X, T2Y, T2W;
cannam@95 286 T2T = FNMS(KP559016994, T2S, T2R);
cannam@95 287 T2X = FMA(KP559016994, T2S, T2R);
cannam@95 288 T2Y = FMA(KP618033988, T2U, T2V);
cannam@95 289 T2W = FNMS(KP618033988, T2V, T2U);
cannam@95 290 io[WS(os, 14)] = FMA(KP951056516, T2Y, T2X);
cannam@95 291 io[WS(os, 6)] = FNMS(KP951056516, T2Y, T2X);
cannam@95 292 io[WS(os, 18)] = FNMS(KP951056516, T2W, T2T);
cannam@95 293 io[WS(os, 2)] = FMA(KP951056516, T2W, T2T);
cannam@95 294 T2Z = FNMS(KP250000000, TK, TD);
cannam@95 295 }
cannam@95 296 ro[0] = TD + TK;
cannam@95 297 T3e = T3c + T3d;
cannam@95 298 T3g = T3c - T3d;
cannam@95 299 {
cannam@95 300 E T31, T39, T3a, T38;
cannam@95 301 T31 = FMA(KP559016994, T30, T2Z);
cannam@95 302 T39 = FNMS(KP559016994, T30, T2Z);
cannam@95 303 T3a = FNMS(KP618033988, T34, T37);
cannam@95 304 T38 = FMA(KP618033988, T37, T34);
cannam@95 305 ro[WS(os, 8)] = FMA(KP951056516, T3a, T39);
cannam@95 306 ro[WS(os, 12)] = FNMS(KP951056516, T3a, T39);
cannam@95 307 ro[WS(os, 16)] = FMA(KP951056516, T38, T31);
cannam@95 308 ro[WS(os, 4)] = FNMS(KP951056516, T38, T31);
cannam@95 309 T3f = FNMS(KP250000000, T3e, T3b);
cannam@95 310 }
cannam@95 311 io[0] = T3b + T3e;
cannam@95 312 }
cannam@95 313 {
cannam@95 314 E T24, T23, T1c, T2i;
cannam@95 315 T1c = T10 + T1b;
cannam@95 316 T24 = T10 - T1b;
cannam@95 317 {
cannam@95 318 E T3h, T3l, T3m, T3k;
cannam@95 319 T3h = FMA(KP559016994, T3g, T3f);
cannam@95 320 T3l = FNMS(KP559016994, T3g, T3f);
cannam@95 321 T3m = FNMS(KP618033988, T3i, T3j);
cannam@95 322 T3k = FMA(KP618033988, T3j, T3i);
cannam@95 323 io[WS(os, 12)] = FMA(KP951056516, T3m, T3l);
cannam@95 324 io[WS(os, 8)] = FNMS(KP951056516, T3m, T3l);
cannam@95 325 io[WS(os, 16)] = FNMS(KP951056516, T3k, T3h);
cannam@95 326 io[WS(os, 4)] = FMA(KP951056516, T3k, T3h);
cannam@95 327 T23 = FNMS(KP250000000, T1c, TP);
cannam@95 328 }
cannam@95 329 io[WS(os, 5)] = TP + T1c;
cannam@95 330 T2i = T2g + T2h;
cannam@95 331 T2k = T2g - T2h;
cannam@95 332 {
cannam@95 333 E T25, T2d, T2e, T2c;
cannam@95 334 T25 = FMA(KP559016994, T24, T23);
cannam@95 335 T2d = FNMS(KP559016994, T24, T23);
cannam@95 336 T2e = FNMS(KP618033988, T28, T2b);
cannam@95 337 T2c = FMA(KP618033988, T2b, T28);
cannam@95 338 io[WS(os, 17)] = FMA(KP951056516, T2e, T2d);
cannam@95 339 io[WS(os, 13)] = FNMS(KP951056516, T2e, T2d);
cannam@95 340 io[WS(os, 9)] = FMA(KP951056516, T2c, T25);
cannam@95 341 io[WS(os, 1)] = FNMS(KP951056516, T2c, T25);
cannam@95 342 T2j = FNMS(KP250000000, T2i, T2f);
cannam@95 343 }
cannam@95 344 ro[WS(os, 5)] = T2f + T2i;
cannam@95 345 }
cannam@95 346 {
cannam@95 347 E T1m, T1l, T1k, T1U;
cannam@95 348 T1k = T1g + T1j;
cannam@95 349 T1m = T1g - T1j;
cannam@95 350 {
cannam@95 351 E T2l, T2p, T2q, T2o;
cannam@95 352 T2l = FMA(KP559016994, T2k, T2j);
cannam@95 353 T2p = FNMS(KP559016994, T2k, T2j);
cannam@95 354 T2q = FNMS(KP618033988, T2m, T2n);
cannam@95 355 T2o = FMA(KP618033988, T2n, T2m);
cannam@95 356 ro[WS(os, 17)] = FNMS(KP951056516, T2q, T2p);
cannam@95 357 ro[WS(os, 13)] = FMA(KP951056516, T2q, T2p);
cannam@95 358 ro[WS(os, 9)] = FNMS(KP951056516, T2o, T2l);
cannam@95 359 ro[WS(os, 1)] = FMA(KP951056516, T2o, T2l);
cannam@95 360 T1l = FNMS(KP250000000, T1k, T1d);
cannam@95 361 }
cannam@95 362 io[WS(os, 15)] = T1d + T1k;
cannam@95 363 T1U = T1S + T1T;
cannam@95 364 T1W = T1S - T1T;
cannam@95 365 {
cannam@95 366 E T1n, T1L, T1M, T1K;
cannam@95 367 T1n = FNMS(KP559016994, T1m, T1l);
cannam@95 368 T1L = FMA(KP559016994, T1m, T1l);
cannam@95 369 T1M = FMA(KP618033988, T1y, T1J);
cannam@95 370 T1K = FNMS(KP618033988, T1J, T1y);
cannam@95 371 io[WS(os, 19)] = FMA(KP951056516, T1M, T1L);
cannam@95 372 io[WS(os, 11)] = FNMS(KP951056516, T1M, T1L);
cannam@95 373 io[WS(os, 7)] = FMA(KP951056516, T1K, T1n);
cannam@95 374 io[WS(os, 3)] = FNMS(KP951056516, T1K, T1n);
cannam@95 375 T1V = FNMS(KP250000000, T1U, T1R);
cannam@95 376 }
cannam@95 377 ro[WS(os, 15)] = T1R + T1U;
cannam@95 378 }
cannam@95 379 }
cannam@95 380 }
cannam@95 381 {
cannam@95 382 E T21, T1X, T20, T22;
cannam@95 383 T21 = FMA(KP559016994, T1W, T1V);
cannam@95 384 T1X = FNMS(KP559016994, T1W, T1V);
cannam@95 385 T20 = FNMS(KP618033988, T1Z, T1Y);
cannam@95 386 T22 = FMA(KP618033988, T1Y, T1Z);
cannam@95 387 ro[WS(os, 19)] = FNMS(KP951056516, T22, T21);
cannam@95 388 ro[WS(os, 11)] = FMA(KP951056516, T22, T21);
cannam@95 389 ro[WS(os, 7)] = FNMS(KP951056516, T20, T1X);
cannam@95 390 ro[WS(os, 3)] = FMA(KP951056516, T20, T1X);
cannam@95 391 }
cannam@95 392 }
cannam@95 393 }
cannam@95 394 }
cannam@95 395
cannam@95 396 static const kdft_desc desc = { 20, "n1_20", {136, 0, 72, 0}, &GENUS, 0, 0, 0, 0 };
cannam@95 397
cannam@95 398 void X(codelet_n1_20) (planner *p) {
cannam@95 399 X(kdft_register) (p, n1_20, &desc);
cannam@95 400 }
cannam@95 401
cannam@95 402 #else /* HAVE_FMA */
cannam@95 403
cannam@95 404 /* Generated by: ../../../genfft/gen_notw.native -compact -variables 4 -pipeline-latency 4 -n 20 -name n1_20 -include n.h */
cannam@95 405
cannam@95 406 /*
cannam@95 407 * This function contains 208 FP additions, 48 FP multiplications,
cannam@95 408 * (or, 184 additions, 24 multiplications, 24 fused multiply/add),
cannam@95 409 * 81 stack variables, 4 constants, and 80 memory accesses
cannam@95 410 */
cannam@95 411 #include "n.h"
cannam@95 412
cannam@95 413 static void n1_20(const R *ri, const R *ii, R *ro, R *io, stride is, stride os, INT v, INT ivs, INT ovs)
cannam@95 414 {
cannam@95 415 DK(KP587785252, +0.587785252292473129168705954639072768597652438);
cannam@95 416 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
cannam@95 417 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
cannam@95 418 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
cannam@95 419 {
cannam@95 420 INT i;
cannam@95 421 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)) {
cannam@95 422 E T7, T2Q, T3h, TD, TP, T1U, T2l, T1d, Tt, TA, TB, T2w, T2z, T2S, T35;
cannam@95 423 E T36, T3f, TH, TI, TJ, T15, T1a, T1b, T1s, T1x, T1W, T29, T2a, T2j, T1h;
cannam@95 424 E T1i, T1j, Te, Tl, Tm, T2D, T2G, T2R, T32, T33, T3e, TE, TF, TG, TU;
cannam@95 425 E TZ, T10, T1D, T1I, T1V, T26, T27, T2i, T1e, T1f, T1g;
cannam@95 426 {
cannam@95 427 E T3, T1Q, TN, T2O, T6, TO, T1T, T2P;
cannam@95 428 {
cannam@95 429 E T1, T2, TL, TM;
cannam@95 430 T1 = ri[0];
cannam@95 431 T2 = ri[WS(is, 10)];
cannam@95 432 T3 = T1 + T2;
cannam@95 433 T1Q = T1 - T2;
cannam@95 434 TL = ii[0];
cannam@95 435 TM = ii[WS(is, 10)];
cannam@95 436 TN = TL - TM;
cannam@95 437 T2O = TL + TM;
cannam@95 438 }
cannam@95 439 {
cannam@95 440 E T4, T5, T1R, T1S;
cannam@95 441 T4 = ri[WS(is, 5)];
cannam@95 442 T5 = ri[WS(is, 15)];
cannam@95 443 T6 = T4 + T5;
cannam@95 444 TO = T4 - T5;
cannam@95 445 T1R = ii[WS(is, 5)];
cannam@95 446 T1S = ii[WS(is, 15)];
cannam@95 447 T1T = T1R - T1S;
cannam@95 448 T2P = T1R + T1S;
cannam@95 449 }
cannam@95 450 T7 = T3 - T6;
cannam@95 451 T2Q = T2O - T2P;
cannam@95 452 T3h = T2O + T2P;
cannam@95 453 TD = T3 + T6;
cannam@95 454 TP = TN - TO;
cannam@95 455 T1U = T1Q - T1T;
cannam@95 456 T2l = T1Q + T1T;
cannam@95 457 T1d = TO + TN;
cannam@95 458 }
cannam@95 459 {
cannam@95 460 E Tp, T1o, T13, T2u, Ts, T14, T1r, T2v, Tw, T1t, T18, T2x, Tz, T19, T1w;
cannam@95 461 E T2y;
cannam@95 462 {
cannam@95 463 E Tn, To, T11, T12;
cannam@95 464 Tn = ri[WS(is, 8)];
cannam@95 465 To = ri[WS(is, 18)];
cannam@95 466 Tp = Tn + To;
cannam@95 467 T1o = Tn - To;
cannam@95 468 T11 = ii[WS(is, 8)];
cannam@95 469 T12 = ii[WS(is, 18)];
cannam@95 470 T13 = T11 - T12;
cannam@95 471 T2u = T11 + T12;
cannam@95 472 }
cannam@95 473 {
cannam@95 474 E Tq, Tr, T1p, T1q;
cannam@95 475 Tq = ri[WS(is, 13)];
cannam@95 476 Tr = ri[WS(is, 3)];
cannam@95 477 Ts = Tq + Tr;
cannam@95 478 T14 = Tq - Tr;
cannam@95 479 T1p = ii[WS(is, 13)];
cannam@95 480 T1q = ii[WS(is, 3)];
cannam@95 481 T1r = T1p - T1q;
cannam@95 482 T2v = T1p + T1q;
cannam@95 483 }
cannam@95 484 {
cannam@95 485 E Tu, Tv, T16, T17;
cannam@95 486 Tu = ri[WS(is, 12)];
cannam@95 487 Tv = ri[WS(is, 2)];
cannam@95 488 Tw = Tu + Tv;
cannam@95 489 T1t = Tu - Tv;
cannam@95 490 T16 = ii[WS(is, 12)];
cannam@95 491 T17 = ii[WS(is, 2)];
cannam@95 492 T18 = T16 - T17;
cannam@95 493 T2x = T16 + T17;
cannam@95 494 }
cannam@95 495 {
cannam@95 496 E Tx, Ty, T1u, T1v;
cannam@95 497 Tx = ri[WS(is, 17)];
cannam@95 498 Ty = ri[WS(is, 7)];
cannam@95 499 Tz = Tx + Ty;
cannam@95 500 T19 = Tx - Ty;
cannam@95 501 T1u = ii[WS(is, 17)];
cannam@95 502 T1v = ii[WS(is, 7)];
cannam@95 503 T1w = T1u - T1v;
cannam@95 504 T2y = T1u + T1v;
cannam@95 505 }
cannam@95 506 Tt = Tp - Ts;
cannam@95 507 TA = Tw - Tz;
cannam@95 508 TB = Tt + TA;
cannam@95 509 T2w = T2u - T2v;
cannam@95 510 T2z = T2x - T2y;
cannam@95 511 T2S = T2w + T2z;
cannam@95 512 T35 = T2u + T2v;
cannam@95 513 T36 = T2x + T2y;
cannam@95 514 T3f = T35 + T36;
cannam@95 515 TH = Tp + Ts;
cannam@95 516 TI = Tw + Tz;
cannam@95 517 TJ = TH + TI;
cannam@95 518 T15 = T13 - T14;
cannam@95 519 T1a = T18 - T19;
cannam@95 520 T1b = T15 + T1a;
cannam@95 521 T1s = T1o - T1r;
cannam@95 522 T1x = T1t - T1w;
cannam@95 523 T1W = T1s + T1x;
cannam@95 524 T29 = T1o + T1r;
cannam@95 525 T2a = T1t + T1w;
cannam@95 526 T2j = T29 + T2a;
cannam@95 527 T1h = T14 + T13;
cannam@95 528 T1i = T19 + T18;
cannam@95 529 T1j = T1h + T1i;
cannam@95 530 }
cannam@95 531 {
cannam@95 532 E Ta, T1z, TS, T2B, Td, TT, T1C, T2C, Th, T1E, TX, T2E, Tk, TY, T1H;
cannam@95 533 E T2F;
cannam@95 534 {
cannam@95 535 E T8, T9, TQ, TR;
cannam@95 536 T8 = ri[WS(is, 4)];
cannam@95 537 T9 = ri[WS(is, 14)];
cannam@95 538 Ta = T8 + T9;
cannam@95 539 T1z = T8 - T9;
cannam@95 540 TQ = ii[WS(is, 4)];
cannam@95 541 TR = ii[WS(is, 14)];
cannam@95 542 TS = TQ - TR;
cannam@95 543 T2B = TQ + TR;
cannam@95 544 }
cannam@95 545 {
cannam@95 546 E Tb, Tc, T1A, T1B;
cannam@95 547 Tb = ri[WS(is, 9)];
cannam@95 548 Tc = ri[WS(is, 19)];
cannam@95 549 Td = Tb + Tc;
cannam@95 550 TT = Tb - Tc;
cannam@95 551 T1A = ii[WS(is, 9)];
cannam@95 552 T1B = ii[WS(is, 19)];
cannam@95 553 T1C = T1A - T1B;
cannam@95 554 T2C = T1A + T1B;
cannam@95 555 }
cannam@95 556 {
cannam@95 557 E Tf, Tg, TV, TW;
cannam@95 558 Tf = ri[WS(is, 16)];
cannam@95 559 Tg = ri[WS(is, 6)];
cannam@95 560 Th = Tf + Tg;
cannam@95 561 T1E = Tf - Tg;
cannam@95 562 TV = ii[WS(is, 16)];
cannam@95 563 TW = ii[WS(is, 6)];
cannam@95 564 TX = TV - TW;
cannam@95 565 T2E = TV + TW;
cannam@95 566 }
cannam@95 567 {
cannam@95 568 E Ti, Tj, T1F, T1G;
cannam@95 569 Ti = ri[WS(is, 1)];
cannam@95 570 Tj = ri[WS(is, 11)];
cannam@95 571 Tk = Ti + Tj;
cannam@95 572 TY = Ti - Tj;
cannam@95 573 T1F = ii[WS(is, 1)];
cannam@95 574 T1G = ii[WS(is, 11)];
cannam@95 575 T1H = T1F - T1G;
cannam@95 576 T2F = T1F + T1G;
cannam@95 577 }
cannam@95 578 Te = Ta - Td;
cannam@95 579 Tl = Th - Tk;
cannam@95 580 Tm = Te + Tl;
cannam@95 581 T2D = T2B - T2C;
cannam@95 582 T2G = T2E - T2F;
cannam@95 583 T2R = T2D + T2G;
cannam@95 584 T32 = T2B + T2C;
cannam@95 585 T33 = T2E + T2F;
cannam@95 586 T3e = T32 + T33;
cannam@95 587 TE = Ta + Td;
cannam@95 588 TF = Th + Tk;
cannam@95 589 TG = TE + TF;
cannam@95 590 TU = TS - TT;
cannam@95 591 TZ = TX - TY;
cannam@95 592 T10 = TU + TZ;
cannam@95 593 T1D = T1z - T1C;
cannam@95 594 T1I = T1E - T1H;
cannam@95 595 T1V = T1D + T1I;
cannam@95 596 T26 = T1z + T1C;
cannam@95 597 T27 = T1E + T1H;
cannam@95 598 T2i = T26 + T27;
cannam@95 599 T1e = TT + TS;
cannam@95 600 T1f = TY + TX;
cannam@95 601 T1g = T1e + T1f;
cannam@95 602 }
cannam@95 603 {
cannam@95 604 E T2s, TC, T2r, T2I, T2K, T2A, T2H, T2J, T2t;
cannam@95 605 T2s = KP559016994 * (Tm - TB);
cannam@95 606 TC = Tm + TB;
cannam@95 607 T2r = FNMS(KP250000000, TC, T7);
cannam@95 608 T2A = T2w - T2z;
cannam@95 609 T2H = T2D - T2G;
cannam@95 610 T2I = FNMS(KP587785252, T2H, KP951056516 * T2A);
cannam@95 611 T2K = FMA(KP951056516, T2H, KP587785252 * T2A);
cannam@95 612 ro[WS(os, 10)] = T7 + TC;
cannam@95 613 T2J = T2s + T2r;
cannam@95 614 ro[WS(os, 14)] = T2J - T2K;
cannam@95 615 ro[WS(os, 6)] = T2J + T2K;
cannam@95 616 T2t = T2r - T2s;
cannam@95 617 ro[WS(os, 2)] = T2t - T2I;
cannam@95 618 ro[WS(os, 18)] = T2t + T2I;
cannam@95 619 }
cannam@95 620 {
cannam@95 621 E T2V, T2T, T2U, T2N, T2Y, T2L, T2M, T2X, T2W;
cannam@95 622 T2V = KP559016994 * (T2R - T2S);
cannam@95 623 T2T = T2R + T2S;
cannam@95 624 T2U = FNMS(KP250000000, T2T, T2Q);
cannam@95 625 T2L = Tt - TA;
cannam@95 626 T2M = Te - Tl;
cannam@95 627 T2N = FNMS(KP587785252, T2M, KP951056516 * T2L);
cannam@95 628 T2Y = FMA(KP951056516, T2M, KP587785252 * T2L);
cannam@95 629 io[WS(os, 10)] = T2Q + T2T;
cannam@95 630 T2X = T2V + T2U;
cannam@95 631 io[WS(os, 6)] = T2X - T2Y;
cannam@95 632 io[WS(os, 14)] = T2Y + T2X;
cannam@95 633 T2W = T2U - T2V;
cannam@95 634 io[WS(os, 2)] = T2N + T2W;
cannam@95 635 io[WS(os, 18)] = T2W - T2N;
cannam@95 636 }
cannam@95 637 {
cannam@95 638 E T2Z, TK, T30, T38, T3a, T34, T37, T39, T31;
cannam@95 639 T2Z = KP559016994 * (TG - TJ);
cannam@95 640 TK = TG + TJ;
cannam@95 641 T30 = FNMS(KP250000000, TK, TD);
cannam@95 642 T34 = T32 - T33;
cannam@95 643 T37 = T35 - T36;
cannam@95 644 T38 = FMA(KP951056516, T34, KP587785252 * T37);
cannam@95 645 T3a = FNMS(KP587785252, T34, KP951056516 * T37);
cannam@95 646 ro[0] = TD + TK;
cannam@95 647 T39 = T30 - T2Z;
cannam@95 648 ro[WS(os, 12)] = T39 - T3a;
cannam@95 649 ro[WS(os, 8)] = T39 + T3a;
cannam@95 650 T31 = T2Z + T30;
cannam@95 651 ro[WS(os, 4)] = T31 - T38;
cannam@95 652 ro[WS(os, 16)] = T31 + T38;
cannam@95 653 }
cannam@95 654 {
cannam@95 655 E T3g, T3i, T3j, T3d, T3m, T3b, T3c, T3l, T3k;
cannam@95 656 T3g = KP559016994 * (T3e - T3f);
cannam@95 657 T3i = T3e + T3f;
cannam@95 658 T3j = FNMS(KP250000000, T3i, T3h);
cannam@95 659 T3b = TE - TF;
cannam@95 660 T3c = TH - TI;
cannam@95 661 T3d = FMA(KP951056516, T3b, KP587785252 * T3c);
cannam@95 662 T3m = FNMS(KP587785252, T3b, KP951056516 * T3c);
cannam@95 663 io[0] = T3h + T3i;
cannam@95 664 T3l = T3j - T3g;
cannam@95 665 io[WS(os, 8)] = T3l - T3m;
cannam@95 666 io[WS(os, 12)] = T3m + T3l;
cannam@95 667 T3k = T3g + T3j;
cannam@95 668 io[WS(os, 4)] = T3d + T3k;
cannam@95 669 io[WS(os, 16)] = T3k - T3d;
cannam@95 670 }
cannam@95 671 {
cannam@95 672 E T23, T1c, T24, T2c, T2e, T28, T2b, T2d, T25;
cannam@95 673 T23 = KP559016994 * (T10 - T1b);
cannam@95 674 T1c = T10 + T1b;
cannam@95 675 T24 = FNMS(KP250000000, T1c, TP);
cannam@95 676 T28 = T26 - T27;
cannam@95 677 T2b = T29 - T2a;
cannam@95 678 T2c = FMA(KP951056516, T28, KP587785252 * T2b);
cannam@95 679 T2e = FNMS(KP587785252, T28, KP951056516 * T2b);
cannam@95 680 io[WS(os, 5)] = TP + T1c;
cannam@95 681 T2d = T24 - T23;
cannam@95 682 io[WS(os, 13)] = T2d - T2e;
cannam@95 683 io[WS(os, 17)] = T2d + T2e;
cannam@95 684 T25 = T23 + T24;
cannam@95 685 io[WS(os, 1)] = T25 - T2c;
cannam@95 686 io[WS(os, 9)] = T25 + T2c;
cannam@95 687 }
cannam@95 688 {
cannam@95 689 E T2k, T2m, T2n, T2h, T2p, T2f, T2g, T2q, T2o;
cannam@95 690 T2k = KP559016994 * (T2i - T2j);
cannam@95 691 T2m = T2i + T2j;
cannam@95 692 T2n = FNMS(KP250000000, T2m, T2l);
cannam@95 693 T2f = TU - TZ;
cannam@95 694 T2g = T15 - T1a;
cannam@95 695 T2h = FMA(KP951056516, T2f, KP587785252 * T2g);
cannam@95 696 T2p = FNMS(KP587785252, T2f, KP951056516 * T2g);
cannam@95 697 ro[WS(os, 5)] = T2l + T2m;
cannam@95 698 T2q = T2n - T2k;
cannam@95 699 ro[WS(os, 13)] = T2p + T2q;
cannam@95 700 ro[WS(os, 17)] = T2q - T2p;
cannam@95 701 T2o = T2k + T2n;
cannam@95 702 ro[WS(os, 1)] = T2h + T2o;
cannam@95 703 ro[WS(os, 9)] = T2o - T2h;
cannam@95 704 }
cannam@95 705 {
cannam@95 706 E T1m, T1k, T1l, T1K, T1M, T1y, T1J, T1L, T1n;
cannam@95 707 T1m = KP559016994 * (T1g - T1j);
cannam@95 708 T1k = T1g + T1j;
cannam@95 709 T1l = FNMS(KP250000000, T1k, T1d);
cannam@95 710 T1y = T1s - T1x;
cannam@95 711 T1J = T1D - T1I;
cannam@95 712 T1K = FNMS(KP587785252, T1J, KP951056516 * T1y);
cannam@95 713 T1M = FMA(KP951056516, T1J, KP587785252 * T1y);
cannam@95 714 io[WS(os, 15)] = T1d + T1k;
cannam@95 715 T1L = T1m + T1l;
cannam@95 716 io[WS(os, 11)] = T1L - T1M;
cannam@95 717 io[WS(os, 19)] = T1L + T1M;
cannam@95 718 T1n = T1l - T1m;
cannam@95 719 io[WS(os, 3)] = T1n - T1K;
cannam@95 720 io[WS(os, 7)] = T1n + T1K;
cannam@95 721 }
cannam@95 722 {
cannam@95 723 E T1Z, T1X, T1Y, T1P, T21, T1N, T1O, T22, T20;
cannam@95 724 T1Z = KP559016994 * (T1V - T1W);
cannam@95 725 T1X = T1V + T1W;
cannam@95 726 T1Y = FNMS(KP250000000, T1X, T1U);
cannam@95 727 T1N = T1h - T1i;
cannam@95 728 T1O = T1e - T1f;
cannam@95 729 T1P = FNMS(KP587785252, T1O, KP951056516 * T1N);
cannam@95 730 T21 = FMA(KP951056516, T1O, KP587785252 * T1N);
cannam@95 731 ro[WS(os, 15)] = T1U + T1X;
cannam@95 732 T22 = T1Z + T1Y;
cannam@95 733 ro[WS(os, 11)] = T21 + T22;
cannam@95 734 ro[WS(os, 19)] = T22 - T21;
cannam@95 735 T20 = T1Y - T1Z;
cannam@95 736 ro[WS(os, 3)] = T1P + T20;
cannam@95 737 ro[WS(os, 7)] = T20 - T1P;
cannam@95 738 }
cannam@95 739 }
cannam@95 740 }
cannam@95 741 }
cannam@95 742
cannam@95 743 static const kdft_desc desc = { 20, "n1_20", {184, 24, 24, 0}, &GENUS, 0, 0, 0, 0 };
cannam@95 744
cannam@95 745 void X(codelet_n1_20) (planner *p) {
cannam@95 746 X(kdft_register) (p, n1_20, &desc);
cannam@95 747 }
cannam@95 748
cannam@95 749 #endif /* HAVE_FMA */