annotate fft/fftw/fftw-3.3.4/rdft/scalar/r2cb/r2cbIII_32.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 13:50:35 EST 2014 */
Chris@19 23
Chris@19 24 #include "codelet-rdft.h"
Chris@19 25
Chris@19 26 #ifdef HAVE_FMA
Chris@19 27
Chris@19 28 /* Generated by: ../../../genfft/gen_r2cb.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -n 32 -name r2cbIII_32 -dft-III -include r2cbIII.h */
Chris@19 29
Chris@19 30 /*
Chris@19 31 * This function contains 174 FP additions, 100 FP multiplications,
Chris@19 32 * (or, 106 additions, 32 multiplications, 68 fused multiply/add),
Chris@19 33 * 101 stack variables, 18 constants, and 64 memory accesses
Chris@19 34 */
Chris@19 35 #include "r2cbIII.h"
Chris@19 36
Chris@19 37 static void r2cbIII_32(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
Chris@19 38 {
Chris@19 39 DK(KP534511135, +0.534511135950791641089685961295362908582039528);
Chris@19 40 DK(KP1_763842528, +1.763842528696710059425513727320776699016885241);
Chris@19 41 DK(KP303346683, +0.303346683607342391675883946941299872384187453);
Chris@19 42 DK(KP1_913880671, +1.913880671464417729871595773960539938965698411);
Chris@19 43 DK(KP098491403, +0.098491403357164253077197521291327432293052451);
Chris@19 44 DK(KP1_990369453, +1.990369453344393772489673906218959843150949737);
Chris@19 45 DK(KP820678790, +0.820678790828660330972281985331011598767386482);
Chris@19 46 DK(KP1_546020906, +1.546020906725473921621813219516939601942082586);
Chris@19 47 DK(KP1_847759065, +1.847759065022573512256366378793576573644833252);
Chris@19 48 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@19 49 DK(KP668178637, +0.668178637919298919997757686523080761552472251);
Chris@19 50 DK(KP1_662939224, +1.662939224605090474157576755235811513477121624);
Chris@19 51 DK(KP198912367, +0.198912367379658006911597622644676228597850501);
Chris@19 52 DK(KP1_961570560, +1.961570560806460898252364472268478073947867462);
Chris@19 53 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@19 54 DK(KP1_414213562, +1.414213562373095048801688724209698078569671875);
Chris@19 55 DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
Chris@19 56 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
Chris@19 57 {
Chris@19 58 INT i;
Chris@19 59 for (i = v; i > 0; i = i - 1, R0 = R0 + ovs, R1 = R1 + ovs, Cr = Cr + ivs, Ci = Ci + ivs, MAKE_VOLATILE_STRIDE(128, rs), MAKE_VOLATILE_STRIDE(128, csr), MAKE_VOLATILE_STRIDE(128, csi)) {
Chris@19 60 E T1N, T1K, T1Q, T1H, T1O, T1P;
Chris@19 61 {
Chris@19 62 E T1I, T1e, T1Z, T7, T2E, T2i, T1x, Tz, Te, T2j, T22, T2F, T1h, T1y, TK;
Chris@19 63 E T1J, Tm, T2B, TX, Tp, T2m, T28, T1M, T1C, T1k, TW, TY, T2a, T14, T15;
Chris@19 64 E Ts, TZ;
Chris@19 65 {
Chris@19 66 E TE, T1g, TJ, T1f;
Chris@19 67 {
Chris@19 68 E T4, Tv, T3, T2g, T1d, T5, Tw, Tx;
Chris@19 69 {
Chris@19 70 E T1, T2, T1b, T1c;
Chris@19 71 T1 = Cr[0];
Chris@19 72 T2 = Cr[WS(csr, 15)];
Chris@19 73 T1b = Ci[0];
Chris@19 74 T1c = Ci[WS(csi, 15)];
Chris@19 75 T4 = Cr[WS(csr, 8)];
Chris@19 76 Tv = T1 - T2;
Chris@19 77 T3 = T1 + T2;
Chris@19 78 T2g = T1c - T1b;
Chris@19 79 T1d = T1b + T1c;
Chris@19 80 T5 = Cr[WS(csr, 7)];
Chris@19 81 Tw = Ci[WS(csi, 8)];
Chris@19 82 Tx = Ci[WS(csi, 7)];
Chris@19 83 }
Chris@19 84 {
Chris@19 85 E Tb, TA, Ta, T20, TD, Tc, TG, TH;
Chris@19 86 {
Chris@19 87 E T8, T9, TB, TC;
Chris@19 88 T8 = Cr[WS(csr, 4)];
Chris@19 89 {
Chris@19 90 E T1a, T6, T2h, Ty;
Chris@19 91 T1a = T4 - T5;
Chris@19 92 T6 = T4 + T5;
Chris@19 93 T2h = Tx - Tw;
Chris@19 94 Ty = Tw + Tx;
Chris@19 95 T1I = T1a - T1d;
Chris@19 96 T1e = T1a + T1d;
Chris@19 97 T1Z = T3 - T6;
Chris@19 98 T7 = T3 + T6;
Chris@19 99 T2E = T2h + T2g;
Chris@19 100 T2i = T2g - T2h;
Chris@19 101 T1x = Tv + Ty;
Chris@19 102 Tz = Tv - Ty;
Chris@19 103 T9 = Cr[WS(csr, 11)];
Chris@19 104 }
Chris@19 105 TB = Ci[WS(csi, 4)];
Chris@19 106 TC = Ci[WS(csi, 11)];
Chris@19 107 Tb = Cr[WS(csr, 3)];
Chris@19 108 TA = T8 - T9;
Chris@19 109 Ta = T8 + T9;
Chris@19 110 T20 = TC - TB;
Chris@19 111 TD = TB + TC;
Chris@19 112 Tc = Cr[WS(csr, 12)];
Chris@19 113 TG = Ci[WS(csi, 3)];
Chris@19 114 TH = Ci[WS(csi, 12)];
Chris@19 115 }
Chris@19 116 {
Chris@19 117 E TF, Td, T21, TI;
Chris@19 118 TE = TA - TD;
Chris@19 119 T1g = TA + TD;
Chris@19 120 TF = Tb - Tc;
Chris@19 121 Td = Tb + Tc;
Chris@19 122 T21 = TG - TH;
Chris@19 123 TI = TG + TH;
Chris@19 124 Te = Ta + Td;
Chris@19 125 T2j = Ta - Td;
Chris@19 126 T22 = T20 - T21;
Chris@19 127 T2F = T20 + T21;
Chris@19 128 TJ = TF - TI;
Chris@19 129 T1f = TF + TI;
Chris@19 130 }
Chris@19 131 }
Chris@19 132 }
Chris@19 133 {
Chris@19 134 E TM, Ti, TN, T25, TU, TR, Tl, TO;
Chris@19 135 {
Chris@19 136 E TS, TT, Tg, Th, Tj, Tk;
Chris@19 137 Tg = Cr[WS(csr, 2)];
Chris@19 138 Th = Cr[WS(csr, 13)];
Chris@19 139 T1h = T1f - T1g;
Chris@19 140 T1y = T1g + T1f;
Chris@19 141 TK = TE + TJ;
Chris@19 142 T1J = TE - TJ;
Chris@19 143 TM = Tg - Th;
Chris@19 144 Ti = Tg + Th;
Chris@19 145 TS = Ci[WS(csi, 2)];
Chris@19 146 TT = Ci[WS(csi, 13)];
Chris@19 147 Tj = Cr[WS(csr, 10)];
Chris@19 148 Tk = Cr[WS(csr, 5)];
Chris@19 149 TN = Ci[WS(csi, 10)];
Chris@19 150 T25 = TS - TT;
Chris@19 151 TU = TS + TT;
Chris@19 152 TR = Tj - Tk;
Chris@19 153 Tl = Tj + Tk;
Chris@19 154 TO = Ci[WS(csi, 5)];
Chris@19 155 }
Chris@19 156 {
Chris@19 157 E T12, T13, Tq, Tr;
Chris@19 158 {
Chris@19 159 E Tn, T1A, TV, T24, T26, TP, To, T27, T1B, TQ;
Chris@19 160 Tn = Cr[WS(csr, 1)];
Chris@19 161 T1A = TR - TU;
Chris@19 162 TV = TR + TU;
Chris@19 163 T24 = Ti - Tl;
Chris@19 164 Tm = Ti + Tl;
Chris@19 165 T26 = TN - TO;
Chris@19 166 TP = TN + TO;
Chris@19 167 To = Cr[WS(csr, 14)];
Chris@19 168 T12 = Ci[WS(csi, 1)];
Chris@19 169 T27 = T25 - T26;
Chris@19 170 T2B = T26 + T25;
Chris@19 171 T1B = TM + TP;
Chris@19 172 TQ = TM - TP;
Chris@19 173 TX = Tn - To;
Chris@19 174 Tp = Tn + To;
Chris@19 175 T2m = T24 + T27;
Chris@19 176 T28 = T24 - T27;
Chris@19 177 T1M = FNMS(KP414213562, T1A, T1B);
Chris@19 178 T1C = FMA(KP414213562, T1B, T1A);
Chris@19 179 T1k = FMA(KP414213562, TQ, TV);
Chris@19 180 TW = FNMS(KP414213562, TV, TQ);
Chris@19 181 T13 = Ci[WS(csi, 14)];
Chris@19 182 }
Chris@19 183 Tq = Cr[WS(csr, 6)];
Chris@19 184 Tr = Cr[WS(csr, 9)];
Chris@19 185 TY = Ci[WS(csi, 6)];
Chris@19 186 T2a = T13 - T12;
Chris@19 187 T14 = T12 + T13;
Chris@19 188 T15 = Tq - Tr;
Chris@19 189 Ts = Tq + Tr;
Chris@19 190 TZ = Ci[WS(csi, 9)];
Chris@19 191 }
Chris@19 192 }
Chris@19 193 }
Chris@19 194 {
Chris@19 195 E T1L, T1F, T23, T2n, T2k, T2e, T1p, T1t, T1s, T1i, T1o, T19, T1l, T1q;
Chris@19 196 {
Chris@19 197 E T2z, T2G, T2H, T2C, T1j, T17, T2r, T2s, T2u, T2v, T2K, T2D;
Chris@19 198 {
Chris@19 199 E T2L, T2d, T2l, T2O;
Chris@19 200 {
Chris@19 201 E Tf, T2N, Tu, T2M;
Chris@19 202 {
Chris@19 203 E T1D, T16, T29, Tt, T2b, T10;
Chris@19 204 T2z = T7 - Te;
Chris@19 205 Tf = T7 + Te;
Chris@19 206 T1D = T15 + T14;
Chris@19 207 T16 = T14 - T15;
Chris@19 208 T29 = Tp - Ts;
Chris@19 209 Tt = Tp + Ts;
Chris@19 210 T2b = TY - TZ;
Chris@19 211 T10 = TY + TZ;
Chris@19 212 T2N = T2F + T2E;
Chris@19 213 T2G = T2E - T2F;
Chris@19 214 T2H = Tm - Tt;
Chris@19 215 Tu = Tm + Tt;
Chris@19 216 {
Chris@19 217 E T2c, T2A, T1E, T11;
Chris@19 218 T2c = T2a - T2b;
Chris@19 219 T2A = T2b + T2a;
Chris@19 220 T1E = TX + T10;
Chris@19 221 T11 = TX - T10;
Chris@19 222 T2L = Tf - Tu;
Chris@19 223 T2d = T29 + T2c;
Chris@19 224 T2l = T29 - T2c;
Chris@19 225 T2C = T2A - T2B;
Chris@19 226 T2M = T2B + T2A;
Chris@19 227 T1L = FMA(KP414213562, T1D, T1E);
Chris@19 228 T1F = FNMS(KP414213562, T1E, T1D);
Chris@19 229 T1j = FMA(KP414213562, T11, T16);
Chris@19 230 T17 = FNMS(KP414213562, T16, T11);
Chris@19 231 T2O = T2M + T2N;
Chris@19 232 }
Chris@19 233 }
Chris@19 234 R0[0] = KP2_000000000 * (Tf + Tu);
Chris@19 235 R0[WS(rs, 8)] = KP2_000000000 * (T2N - T2M);
Chris@19 236 }
Chris@19 237 T23 = T1Z + T22;
Chris@19 238 T2r = T1Z - T22;
Chris@19 239 R0[WS(rs, 12)] = KP1_414213562 * (T2O - T2L);
Chris@19 240 R0[WS(rs, 4)] = KP1_414213562 * (T2L + T2O);
Chris@19 241 T2s = T2m + T2l;
Chris@19 242 T2n = T2l - T2m;
Chris@19 243 T2k = T2i - T2j;
Chris@19 244 T2u = T2j + T2i;
Chris@19 245 T2v = T28 - T2d;
Chris@19 246 T2e = T28 + T2d;
Chris@19 247 }
Chris@19 248 {
Chris@19 249 E T2y, T2t, T2x, T2w;
Chris@19 250 T2y = FMA(KP707106781, T2s, T2r);
Chris@19 251 T2t = FNMS(KP707106781, T2s, T2r);
Chris@19 252 T2x = FMA(KP707106781, T2v, T2u);
Chris@19 253 T2w = FNMS(KP707106781, T2v, T2u);
Chris@19 254 R0[WS(rs, 7)] = KP1_961570560 * (FMA(KP198912367, T2y, T2x));
Chris@19 255 R0[WS(rs, 15)] = -(KP1_961570560 * (FNMS(KP198912367, T2x, T2y)));
Chris@19 256 R0[WS(rs, 11)] = KP1_662939224 * (FNMS(KP668178637, T2t, T2w));
Chris@19 257 R0[WS(rs, 3)] = KP1_662939224 * (FMA(KP668178637, T2w, T2t));
Chris@19 258 T2K = T2z - T2C;
Chris@19 259 T2D = T2z + T2C;
Chris@19 260 }
Chris@19 261 {
Chris@19 262 E TL, T18, T2J, T2I;
Chris@19 263 T1p = FNMS(KP707106781, TK, Tz);
Chris@19 264 TL = FMA(KP707106781, TK, Tz);
Chris@19 265 T18 = TW + T17;
Chris@19 266 T1t = TW - T17;
Chris@19 267 T1s = FMA(KP707106781, T1h, T1e);
Chris@19 268 T1i = FNMS(KP707106781, T1h, T1e);
Chris@19 269 T2J = T2H + T2G;
Chris@19 270 T2I = T2G - T2H;
Chris@19 271 T1o = FNMS(KP923879532, T18, TL);
Chris@19 272 T19 = FMA(KP923879532, T18, TL);
Chris@19 273 R0[WS(rs, 6)] = KP1_847759065 * (FMA(KP414213562, T2K, T2J));
Chris@19 274 R0[WS(rs, 14)] = -(KP1_847759065 * (FNMS(KP414213562, T2J, T2K)));
Chris@19 275 R0[WS(rs, 10)] = KP1_847759065 * (FNMS(KP414213562, T2D, T2I));
Chris@19 276 R0[WS(rs, 2)] = KP1_847759065 * (FMA(KP414213562, T2I, T2D));
Chris@19 277 T1l = T1j - T1k;
Chris@19 278 T1q = T1k + T1j;
Chris@19 279 }
Chris@19 280 }
Chris@19 281 {
Chris@19 282 E T1z, T1U, T1Y, T1T, T1V, T1G;
Chris@19 283 {
Chris@19 284 E T1w, T1r, T1n, T1m;
Chris@19 285 T1n = FMA(KP923879532, T1l, T1i);
Chris@19 286 T1m = FNMS(KP923879532, T1l, T1i);
Chris@19 287 T1w = FMA(KP923879532, T1q, T1p);
Chris@19 288 T1r = FNMS(KP923879532, T1q, T1p);
Chris@19 289 R1[WS(rs, 4)] = -(KP1_546020906 * (FNMS(KP820678790, T1o, T1n)));
Chris@19 290 R1[WS(rs, 12)] = -(KP1_546020906 * (FMA(KP820678790, T1n, T1o)));
Chris@19 291 R1[WS(rs, 8)] = -(KP1_990369453 * (FMA(KP098491403, T19, T1m)));
Chris@19 292 R1[0] = KP1_990369453 * (FNMS(KP098491403, T1m, T19));
Chris@19 293 {
Chris@19 294 E T1R, T1S, T1v, T1u;
Chris@19 295 T1z = FNMS(KP707106781, T1y, T1x);
Chris@19 296 T1R = FMA(KP707106781, T1y, T1x);
Chris@19 297 T1S = T1M + T1L;
Chris@19 298 T1N = T1L - T1M;
Chris@19 299 T1K = FNMS(KP707106781, T1J, T1I);
Chris@19 300 T1U = FMA(KP707106781, T1J, T1I);
Chris@19 301 T1v = FNMS(KP923879532, T1t, T1s);
Chris@19 302 T1u = FMA(KP923879532, T1t, T1s);
Chris@19 303 T1Y = FMA(KP923879532, T1S, T1R);
Chris@19 304 T1T = FNMS(KP923879532, T1S, T1R);
Chris@19 305 R1[WS(rs, 6)] = -(KP1_913880671 * (FNMS(KP303346683, T1w, T1v)));
Chris@19 306 R1[WS(rs, 14)] = -(KP1_913880671 * (FMA(KP303346683, T1v, T1w)));
Chris@19 307 R1[WS(rs, 10)] = -(KP1_763842528 * (FMA(KP534511135, T1r, T1u)));
Chris@19 308 R1[WS(rs, 2)] = KP1_763842528 * (FNMS(KP534511135, T1u, T1r));
Chris@19 309 T1V = T1C + T1F;
Chris@19 310 T1G = T1C - T1F;
Chris@19 311 }
Chris@19 312 }
Chris@19 313 {
Chris@19 314 E T2q, T2f, T1X, T1W, T2p, T2o;
Chris@19 315 T1X = FMA(KP923879532, T1V, T1U);
Chris@19 316 T1W = FNMS(KP923879532, T1V, T1U);
Chris@19 317 T2q = FNMS(KP707106781, T2e, T23);
Chris@19 318 T2f = FMA(KP707106781, T2e, T23);
Chris@19 319 R1[WS(rs, 7)] = KP1_990369453 * (FMA(KP098491403, T1Y, T1X));
Chris@19 320 R1[WS(rs, 15)] = -(KP1_990369453 * (FNMS(KP098491403, T1X, T1Y)));
Chris@19 321 R1[WS(rs, 11)] = KP1_546020906 * (FNMS(KP820678790, T1T, T1W));
Chris@19 322 R1[WS(rs, 3)] = KP1_546020906 * (FMA(KP820678790, T1W, T1T));
Chris@19 323 T2p = FNMS(KP707106781, T2n, T2k);
Chris@19 324 T2o = FMA(KP707106781, T2n, T2k);
Chris@19 325 T1Q = FNMS(KP923879532, T1G, T1z);
Chris@19 326 T1H = FMA(KP923879532, T1G, T1z);
Chris@19 327 R0[WS(rs, 5)] = KP1_662939224 * (FMA(KP668178637, T2q, T2p));
Chris@19 328 R0[WS(rs, 13)] = -(KP1_662939224 * (FNMS(KP668178637, T2p, T2q)));
Chris@19 329 R0[WS(rs, 9)] = KP1_961570560 * (FNMS(KP198912367, T2f, T2o));
Chris@19 330 R0[WS(rs, 1)] = KP1_961570560 * (FMA(KP198912367, T2o, T2f));
Chris@19 331 }
Chris@19 332 }
Chris@19 333 }
Chris@19 334 }
Chris@19 335 T1O = FMA(KP923879532, T1N, T1K);
Chris@19 336 T1P = FNMS(KP923879532, T1N, T1K);
Chris@19 337 R1[WS(rs, 5)] = KP1_763842528 * (FMA(KP534511135, T1Q, T1P));
Chris@19 338 R1[WS(rs, 13)] = -(KP1_763842528 * (FNMS(KP534511135, T1P, T1Q)));
Chris@19 339 R1[WS(rs, 9)] = KP1_913880671 * (FNMS(KP303346683, T1H, T1O));
Chris@19 340 R1[WS(rs, 1)] = KP1_913880671 * (FMA(KP303346683, T1O, T1H));
Chris@19 341 }
Chris@19 342 }
Chris@19 343 }
Chris@19 344
Chris@19 345 static const kr2c_desc desc = { 32, "r2cbIII_32", {106, 32, 68, 0}, &GENUS };
Chris@19 346
Chris@19 347 void X(codelet_r2cbIII_32) (planner *p) {
Chris@19 348 X(kr2c_register) (p, r2cbIII_32, &desc);
Chris@19 349 }
Chris@19 350
Chris@19 351 #else /* HAVE_FMA */
Chris@19 352
Chris@19 353 /* Generated by: ../../../genfft/gen_r2cb.native -compact -variables 4 -pipeline-latency 4 -sign 1 -n 32 -name r2cbIII_32 -dft-III -include r2cbIII.h */
Chris@19 354
Chris@19 355 /*
Chris@19 356 * This function contains 174 FP additions, 84 FP multiplications,
Chris@19 357 * (or, 138 additions, 48 multiplications, 36 fused multiply/add),
Chris@19 358 * 66 stack variables, 19 constants, and 64 memory accesses
Chris@19 359 */
Chris@19 360 #include "r2cbIII.h"
Chris@19 361
Chris@19 362 static void r2cbIII_32(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
Chris@19 363 {
Chris@19 364 DK(KP1_913880671, +1.913880671464417729871595773960539938965698411);
Chris@19 365 DK(KP580569354, +0.580569354508924735272384751634790549382952557);
Chris@19 366 DK(KP942793473, +0.942793473651995297112775251810508755314920638);
Chris@19 367 DK(KP1_763842528, +1.763842528696710059425513727320776699016885241);
Chris@19 368 DK(KP1_546020906, +1.546020906725473921621813219516939601942082586);
Chris@19 369 DK(KP1_268786568, +1.268786568327290996430343226450986741351374190);
Chris@19 370 DK(KP196034280, +0.196034280659121203988391127777283691722273346);
Chris@19 371 DK(KP1_990369453, +1.990369453344393772489673906218959843150949737);
Chris@19 372 DK(KP765366864, +0.765366864730179543456919968060797733522689125);
Chris@19 373 DK(KP1_847759065, +1.847759065022573512256366378793576573644833252);
Chris@19 374 DK(KP1_961570560, +1.961570560806460898252364472268478073947867462);
Chris@19 375 DK(KP390180644, +0.390180644032256535696569736954044481855383236);
Chris@19 376 DK(KP1_111140466, +1.111140466039204449485661627897065748749874382);
Chris@19 377 DK(KP1_662939224, +1.662939224605090474157576755235811513477121624);
Chris@19 378 DK(KP1_414213562, +1.414213562373095048801688724209698078569671875);
Chris@19 379 DK(KP2_000000000, +2.000000000000000000000000000000000000000000000);
Chris@19 380 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
Chris@19 381 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
Chris@19 382 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
Chris@19 383 {
Chris@19 384 INT i;
Chris@19 385 for (i = v; i > 0; i = i - 1, R0 = R0 + ovs, R1 = R1 + ovs, Cr = Cr + ivs, Ci = Ci + ivs, MAKE_VOLATILE_STRIDE(128, rs), MAKE_VOLATILE_STRIDE(128, csr), MAKE_VOLATILE_STRIDE(128, csi)) {
Chris@19 386 E T7, T2i, T2F, Tz, T1k, T1I, T1Z, T1x, Te, T22, T2E, T2j, T1f, T1y, TK;
Chris@19 387 E T1J, Tm, T2B, TW, T1a, T1C, T1L, T28, T2l, Tt, T2A, T17, T1b, T1F, T1M;
Chris@19 388 E T2d, T2m;
Chris@19 389 {
Chris@19 390 E T3, Tv, T1j, T2h, T6, T1g, Ty, T2g;
Chris@19 391 {
Chris@19 392 E T1, T2, T1h, T1i;
Chris@19 393 T1 = Cr[0];
Chris@19 394 T2 = Cr[WS(csr, 15)];
Chris@19 395 T3 = T1 + T2;
Chris@19 396 Tv = T1 - T2;
Chris@19 397 T1h = Ci[0];
Chris@19 398 T1i = Ci[WS(csi, 15)];
Chris@19 399 T1j = T1h + T1i;
Chris@19 400 T2h = T1i - T1h;
Chris@19 401 }
Chris@19 402 {
Chris@19 403 E T4, T5, Tw, Tx;
Chris@19 404 T4 = Cr[WS(csr, 8)];
Chris@19 405 T5 = Cr[WS(csr, 7)];
Chris@19 406 T6 = T4 + T5;
Chris@19 407 T1g = T4 - T5;
Chris@19 408 Tw = Ci[WS(csi, 8)];
Chris@19 409 Tx = Ci[WS(csi, 7)];
Chris@19 410 Ty = Tw + Tx;
Chris@19 411 T2g = Tw - Tx;
Chris@19 412 }
Chris@19 413 T7 = T3 + T6;
Chris@19 414 T2i = T2g + T2h;
Chris@19 415 T2F = T2h - T2g;
Chris@19 416 Tz = Tv - Ty;
Chris@19 417 T1k = T1g + T1j;
Chris@19 418 T1I = T1g - T1j;
Chris@19 419 T1Z = T3 - T6;
Chris@19 420 T1x = Tv + Ty;
Chris@19 421 }
Chris@19 422 {
Chris@19 423 E Ta, TA, TD, T21, Td, TF, TI, T20;
Chris@19 424 {
Chris@19 425 E T8, T9, TB, TC;
Chris@19 426 T8 = Cr[WS(csr, 4)];
Chris@19 427 T9 = Cr[WS(csr, 11)];
Chris@19 428 Ta = T8 + T9;
Chris@19 429 TA = T8 - T9;
Chris@19 430 TB = Ci[WS(csi, 4)];
Chris@19 431 TC = Ci[WS(csi, 11)];
Chris@19 432 TD = TB + TC;
Chris@19 433 T21 = TB - TC;
Chris@19 434 }
Chris@19 435 {
Chris@19 436 E Tb, Tc, TG, TH;
Chris@19 437 Tb = Cr[WS(csr, 3)];
Chris@19 438 Tc = Cr[WS(csr, 12)];
Chris@19 439 Td = Tb + Tc;
Chris@19 440 TF = Tb - Tc;
Chris@19 441 TG = Ci[WS(csi, 3)];
Chris@19 442 TH = Ci[WS(csi, 12)];
Chris@19 443 TI = TG + TH;
Chris@19 444 T20 = TH - TG;
Chris@19 445 }
Chris@19 446 Te = Ta + Td;
Chris@19 447 T22 = T20 - T21;
Chris@19 448 T2E = T21 + T20;
Chris@19 449 T2j = Ta - Td;
Chris@19 450 {
Chris@19 451 E T1d, T1e, TE, TJ;
Chris@19 452 T1d = TA + TD;
Chris@19 453 T1e = TF + TI;
Chris@19 454 T1f = KP707106781 * (T1d - T1e);
Chris@19 455 T1y = KP707106781 * (T1d + T1e);
Chris@19 456 TE = TA - TD;
Chris@19 457 TJ = TF - TI;
Chris@19 458 TK = KP707106781 * (TE + TJ);
Chris@19 459 T1J = KP707106781 * (TE - TJ);
Chris@19 460 }
Chris@19 461 }
Chris@19 462 {
Chris@19 463 E Ti, TM, TU, T25, Tl, TR, TP, T26, TQ, TV;
Chris@19 464 {
Chris@19 465 E Tg, Th, TS, TT;
Chris@19 466 Tg = Cr[WS(csr, 2)];
Chris@19 467 Th = Cr[WS(csr, 13)];
Chris@19 468 Ti = Tg + Th;
Chris@19 469 TM = Tg - Th;
Chris@19 470 TS = Ci[WS(csi, 2)];
Chris@19 471 TT = Ci[WS(csi, 13)];
Chris@19 472 TU = TS + TT;
Chris@19 473 T25 = TS - TT;
Chris@19 474 }
Chris@19 475 {
Chris@19 476 E Tj, Tk, TN, TO;
Chris@19 477 Tj = Cr[WS(csr, 10)];
Chris@19 478 Tk = Cr[WS(csr, 5)];
Chris@19 479 Tl = Tj + Tk;
Chris@19 480 TR = Tj - Tk;
Chris@19 481 TN = Ci[WS(csi, 10)];
Chris@19 482 TO = Ci[WS(csi, 5)];
Chris@19 483 TP = TN + TO;
Chris@19 484 T26 = TN - TO;
Chris@19 485 }
Chris@19 486 Tm = Ti + Tl;
Chris@19 487 T2B = T26 + T25;
Chris@19 488 TQ = TM - TP;
Chris@19 489 TV = TR + TU;
Chris@19 490 TW = FNMS(KP382683432, TV, KP923879532 * TQ);
Chris@19 491 T1a = FMA(KP382683432, TQ, KP923879532 * TV);
Chris@19 492 {
Chris@19 493 E T1A, T1B, T24, T27;
Chris@19 494 T1A = TM + TP;
Chris@19 495 T1B = TU - TR;
Chris@19 496 T1C = FNMS(KP923879532, T1B, KP382683432 * T1A);
Chris@19 497 T1L = FMA(KP923879532, T1A, KP382683432 * T1B);
Chris@19 498 T24 = Ti - Tl;
Chris@19 499 T27 = T25 - T26;
Chris@19 500 T28 = T24 - T27;
Chris@19 501 T2l = T24 + T27;
Chris@19 502 }
Chris@19 503 }
Chris@19 504 {
Chris@19 505 E Tp, TX, T15, T2a, Ts, T12, T10, T2b, T11, T16;
Chris@19 506 {
Chris@19 507 E Tn, To, T13, T14;
Chris@19 508 Tn = Cr[WS(csr, 1)];
Chris@19 509 To = Cr[WS(csr, 14)];
Chris@19 510 Tp = Tn + To;
Chris@19 511 TX = Tn - To;
Chris@19 512 T13 = Ci[WS(csi, 1)];
Chris@19 513 T14 = Ci[WS(csi, 14)];
Chris@19 514 T15 = T13 + T14;
Chris@19 515 T2a = T14 - T13;
Chris@19 516 }
Chris@19 517 {
Chris@19 518 E Tq, Tr, TY, TZ;
Chris@19 519 Tq = Cr[WS(csr, 6)];
Chris@19 520 Tr = Cr[WS(csr, 9)];
Chris@19 521 Ts = Tq + Tr;
Chris@19 522 T12 = Tq - Tr;
Chris@19 523 TY = Ci[WS(csi, 6)];
Chris@19 524 TZ = Ci[WS(csi, 9)];
Chris@19 525 T10 = TY + TZ;
Chris@19 526 T2b = TY - TZ;
Chris@19 527 }
Chris@19 528 Tt = Tp + Ts;
Chris@19 529 T2A = T2b + T2a;
Chris@19 530 T11 = TX - T10;
Chris@19 531 T16 = T12 - T15;
Chris@19 532 T17 = FMA(KP923879532, T11, KP382683432 * T16);
Chris@19 533 T1b = FNMS(KP382683432, T11, KP923879532 * T16);
Chris@19 534 {
Chris@19 535 E T1D, T1E, T29, T2c;
Chris@19 536 T1D = TX + T10;
Chris@19 537 T1E = T12 + T15;
Chris@19 538 T1F = FNMS(KP923879532, T1E, KP382683432 * T1D);
Chris@19 539 T1M = FMA(KP923879532, T1D, KP382683432 * T1E);
Chris@19 540 T29 = Tp - Ts;
Chris@19 541 T2c = T2a - T2b;
Chris@19 542 T2d = T29 + T2c;
Chris@19 543 T2m = T2c - T29;
Chris@19 544 }
Chris@19 545 }
Chris@19 546 {
Chris@19 547 E Tf, Tu, T2L, T2M, T2N, T2O;
Chris@19 548 Tf = T7 + Te;
Chris@19 549 Tu = Tm + Tt;
Chris@19 550 T2L = Tf - Tu;
Chris@19 551 T2M = T2B + T2A;
Chris@19 552 T2N = T2F - T2E;
Chris@19 553 T2O = T2M + T2N;
Chris@19 554 R0[0] = KP2_000000000 * (Tf + Tu);
Chris@19 555 R0[WS(rs, 8)] = KP2_000000000 * (T2N - T2M);
Chris@19 556 R0[WS(rs, 4)] = KP1_414213562 * (T2L + T2O);
Chris@19 557 R0[WS(rs, 12)] = KP1_414213562 * (T2O - T2L);
Chris@19 558 }
Chris@19 559 {
Chris@19 560 E T2t, T2x, T2w, T2y;
Chris@19 561 {
Chris@19 562 E T2r, T2s, T2u, T2v;
Chris@19 563 T2r = T1Z - T22;
Chris@19 564 T2s = KP707106781 * (T2m - T2l);
Chris@19 565 T2t = T2r + T2s;
Chris@19 566 T2x = T2r - T2s;
Chris@19 567 T2u = T2j + T2i;
Chris@19 568 T2v = KP707106781 * (T28 - T2d);
Chris@19 569 T2w = T2u - T2v;
Chris@19 570 T2y = T2v + T2u;
Chris@19 571 }
Chris@19 572 R0[WS(rs, 3)] = FMA(KP1_662939224, T2t, KP1_111140466 * T2w);
Chris@19 573 R0[WS(rs, 15)] = FNMS(KP1_961570560, T2x, KP390180644 * T2y);
Chris@19 574 R0[WS(rs, 11)] = FNMS(KP1_111140466, T2t, KP1_662939224 * T2w);
Chris@19 575 R0[WS(rs, 7)] = FMA(KP390180644, T2x, KP1_961570560 * T2y);
Chris@19 576 }
Chris@19 577 {
Chris@19 578 E T2D, T2J, T2I, T2K;
Chris@19 579 {
Chris@19 580 E T2z, T2C, T2G, T2H;
Chris@19 581 T2z = T7 - Te;
Chris@19 582 T2C = T2A - T2B;
Chris@19 583 T2D = T2z + T2C;
Chris@19 584 T2J = T2z - T2C;
Chris@19 585 T2G = T2E + T2F;
Chris@19 586 T2H = Tm - Tt;
Chris@19 587 T2I = T2G - T2H;
Chris@19 588 T2K = T2H + T2G;
Chris@19 589 }
Chris@19 590 R0[WS(rs, 2)] = FMA(KP1_847759065, T2D, KP765366864 * T2I);
Chris@19 591 R0[WS(rs, 14)] = FNMS(KP1_847759065, T2J, KP765366864 * T2K);
Chris@19 592 R0[WS(rs, 10)] = FNMS(KP765366864, T2D, KP1_847759065 * T2I);
Chris@19 593 R0[WS(rs, 6)] = FMA(KP765366864, T2J, KP1_847759065 * T2K);
Chris@19 594 }
Chris@19 595 {
Chris@19 596 E T19, T1n, T1m, T1o;
Chris@19 597 {
Chris@19 598 E TL, T18, T1c, T1l;
Chris@19 599 TL = Tz + TK;
Chris@19 600 T18 = TW + T17;
Chris@19 601 T19 = TL + T18;
Chris@19 602 T1n = TL - T18;
Chris@19 603 T1c = T1a + T1b;
Chris@19 604 T1l = T1f + T1k;
Chris@19 605 T1m = T1c + T1l;
Chris@19 606 T1o = T1c - T1l;
Chris@19 607 }
Chris@19 608 R1[0] = FNMS(KP196034280, T1m, KP1_990369453 * T19);
Chris@19 609 R1[WS(rs, 12)] = FNMS(KP1_546020906, T1n, KP1_268786568 * T1o);
Chris@19 610 R1[WS(rs, 8)] = -(FMA(KP196034280, T19, KP1_990369453 * T1m));
Chris@19 611 R1[WS(rs, 4)] = FMA(KP1_268786568, T1n, KP1_546020906 * T1o);
Chris@19 612 }
Chris@19 613 {
Chris@19 614 E T1r, T1v, T1u, T1w;
Chris@19 615 {
Chris@19 616 E T1p, T1q, T1s, T1t;
Chris@19 617 T1p = Tz - TK;
Chris@19 618 T1q = T1b - T1a;
Chris@19 619 T1r = T1p + T1q;
Chris@19 620 T1v = T1p - T1q;
Chris@19 621 T1s = T1f - T1k;
Chris@19 622 T1t = TW - T17;
Chris@19 623 T1u = T1s - T1t;
Chris@19 624 T1w = T1t + T1s;
Chris@19 625 }
Chris@19 626 R1[WS(rs, 2)] = FMA(KP1_763842528, T1r, KP942793473 * T1u);
Chris@19 627 R1[WS(rs, 14)] = FNMS(KP1_913880671, T1v, KP580569354 * T1w);
Chris@19 628 R1[WS(rs, 10)] = FNMS(KP942793473, T1r, KP1_763842528 * T1u);
Chris@19 629 R1[WS(rs, 6)] = FMA(KP580569354, T1v, KP1_913880671 * T1w);
Chris@19 630 }
Chris@19 631 {
Chris@19 632 E T1T, T1X, T1W, T1Y;
Chris@19 633 {
Chris@19 634 E T1R, T1S, T1U, T1V;
Chris@19 635 T1R = T1x + T1y;
Chris@19 636 T1S = T1L + T1M;
Chris@19 637 T1T = T1R - T1S;
Chris@19 638 T1X = T1R + T1S;
Chris@19 639 T1U = T1J + T1I;
Chris@19 640 T1V = T1C - T1F;
Chris@19 641 T1W = T1U - T1V;
Chris@19 642 T1Y = T1V + T1U;
Chris@19 643 }
Chris@19 644 R1[WS(rs, 3)] = FMA(KP1_546020906, T1T, KP1_268786568 * T1W);
Chris@19 645 R1[WS(rs, 15)] = FNMS(KP1_990369453, T1X, KP196034280 * T1Y);
Chris@19 646 R1[WS(rs, 11)] = FNMS(KP1_268786568, T1T, KP1_546020906 * T1W);
Chris@19 647 R1[WS(rs, 7)] = FMA(KP196034280, T1X, KP1_990369453 * T1Y);
Chris@19 648 }
Chris@19 649 {
Chris@19 650 E T2f, T2p, T2o, T2q;
Chris@19 651 {
Chris@19 652 E T23, T2e, T2k, T2n;
Chris@19 653 T23 = T1Z + T22;
Chris@19 654 T2e = KP707106781 * (T28 + T2d);
Chris@19 655 T2f = T23 + T2e;
Chris@19 656 T2p = T23 - T2e;
Chris@19 657 T2k = T2i - T2j;
Chris@19 658 T2n = KP707106781 * (T2l + T2m);
Chris@19 659 T2o = T2k - T2n;
Chris@19 660 T2q = T2n + T2k;
Chris@19 661 }
Chris@19 662 R0[WS(rs, 1)] = FMA(KP1_961570560, T2f, KP390180644 * T2o);
Chris@19 663 R0[WS(rs, 13)] = FNMS(KP1_662939224, T2p, KP1_111140466 * T2q);
Chris@19 664 R0[WS(rs, 9)] = FNMS(KP390180644, T2f, KP1_961570560 * T2o);
Chris@19 665 R0[WS(rs, 5)] = FMA(KP1_111140466, T2p, KP1_662939224 * T2q);
Chris@19 666 }
Chris@19 667 {
Chris@19 668 E T1H, T1P, T1O, T1Q;
Chris@19 669 {
Chris@19 670 E T1z, T1G, T1K, T1N;
Chris@19 671 T1z = T1x - T1y;
Chris@19 672 T1G = T1C + T1F;
Chris@19 673 T1H = T1z + T1G;
Chris@19 674 T1P = T1z - T1G;
Chris@19 675 T1K = T1I - T1J;
Chris@19 676 T1N = T1L - T1M;
Chris@19 677 T1O = T1K - T1N;
Chris@19 678 T1Q = T1N + T1K;
Chris@19 679 }
Chris@19 680 R1[WS(rs, 1)] = FMA(KP1_913880671, T1H, KP580569354 * T1O);
Chris@19 681 R1[WS(rs, 13)] = FNMS(KP1_763842528, T1P, KP942793473 * T1Q);
Chris@19 682 R1[WS(rs, 9)] = FNMS(KP580569354, T1H, KP1_913880671 * T1O);
Chris@19 683 R1[WS(rs, 5)] = FMA(KP942793473, T1P, KP1_763842528 * T1Q);
Chris@19 684 }
Chris@19 685 }
Chris@19 686 }
Chris@19 687 }
Chris@19 688
Chris@19 689 static const kr2c_desc desc = { 32, "r2cbIII_32", {138, 48, 36, 0}, &GENUS };
Chris@19 690
Chris@19 691 void X(codelet_r2cbIII_32) (planner *p) {
Chris@19 692 X(kr2c_register) (p, r2cbIII_32, &desc);
Chris@19 693 }
Chris@19 694
Chris@19 695 #endif /* HAVE_FMA */