annotate src/fftw-3.3.8/rdft/scalar/r2cf/hf_7.c @ 167:bd3cc4d1df30

Add FFTW 3.3.8 source, and a Linux build
author Chris Cannam <cannam@all-day-breakfast.com>
date Tue, 19 Nov 2019 14:52:55 +0000
parents
children
rev   line source
cannam@167 1 /*
cannam@167 2 * Copyright (c) 2003, 2007-14 Matteo Frigo
cannam@167 3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
cannam@167 4 *
cannam@167 5 * This program is free software; you can redistribute it and/or modify
cannam@167 6 * it under the terms of the GNU General Public License as published by
cannam@167 7 * the Free Software Foundation; either version 2 of the License, or
cannam@167 8 * (at your option) any later version.
cannam@167 9 *
cannam@167 10 * This program is distributed in the hope that it will be useful,
cannam@167 11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
cannam@167 12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
cannam@167 13 * GNU General Public License for more details.
cannam@167 14 *
cannam@167 15 * You should have received a copy of the GNU General Public License
cannam@167 16 * along with this program; if not, write to the Free Software
cannam@167 17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
cannam@167 18 *
cannam@167 19 */
cannam@167 20
cannam@167 21 /* This file was automatically generated --- DO NOT EDIT */
cannam@167 22 /* Generated on Thu May 24 08:06:28 EDT 2018 */
cannam@167 23
cannam@167 24 #include "rdft/codelet-rdft.h"
cannam@167 25
cannam@167 26 #if defined(ARCH_PREFERS_FMA) || defined(ISA_EXTENSION_PREFERS_FMA)
cannam@167 27
cannam@167 28 /* Generated by: ../../../genfft/gen_hc2hc.native -fma -compact -variables 4 -pipeline-latency 4 -n 7 -dit -name hf_7 -include rdft/scalar/hf.h */
cannam@167 29
cannam@167 30 /*
cannam@167 31 * This function contains 72 FP additions, 66 FP multiplications,
cannam@167 32 * (or, 18 additions, 12 multiplications, 54 fused multiply/add),
cannam@167 33 * 37 stack variables, 6 constants, and 28 memory accesses
cannam@167 34 */
cannam@167 35 #include "rdft/scalar/hf.h"
cannam@167 36
cannam@167 37 static void hf_7(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
cannam@167 38 {
cannam@167 39 DK(KP974927912, +0.974927912181823607018131682993931217232785801);
cannam@167 40 DK(KP900968867, +0.900968867902419126236102319507445051165919162);
cannam@167 41 DK(KP801937735, +0.801937735804838252472204639014890102331838324);
cannam@167 42 DK(KP554958132, +0.554958132087371191422194871006410481067288862);
cannam@167 43 DK(KP692021471, +0.692021471630095869627814897002069140197260599);
cannam@167 44 DK(KP356895867, +0.356895867892209443894399510021300583399127187);
cannam@167 45 {
cannam@167 46 INT m;
cannam@167 47 for (m = mb, W = W + ((mb - 1) * 12); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 12, MAKE_VOLATILE_STRIDE(14, rs)) {
cannam@167 48 E T1, T19, Te, T1i, TR, T1a, Tr, T1h, TM, T1b, TE, T1g, TW, T1c;
cannam@167 49 T1 = cr[0];
cannam@167 50 T19 = ci[0];
cannam@167 51 {
cannam@167 52 E T3, T6, T4, TN, T9, Tc, Ta, TP, T2, T8;
cannam@167 53 T3 = cr[WS(rs, 1)];
cannam@167 54 T6 = ci[WS(rs, 1)];
cannam@167 55 T2 = W[0];
cannam@167 56 T4 = T2 * T3;
cannam@167 57 TN = T2 * T6;
cannam@167 58 T9 = cr[WS(rs, 6)];
cannam@167 59 Tc = ci[WS(rs, 6)];
cannam@167 60 T8 = W[10];
cannam@167 61 Ta = T8 * T9;
cannam@167 62 TP = T8 * Tc;
cannam@167 63 {
cannam@167 64 E T7, TO, Td, TQ, T5, Tb;
cannam@167 65 T5 = W[1];
cannam@167 66 T7 = FMA(T5, T6, T4);
cannam@167 67 TO = FNMS(T5, T3, TN);
cannam@167 68 Tb = W[11];
cannam@167 69 Td = FMA(Tb, Tc, Ta);
cannam@167 70 TQ = FNMS(Tb, T9, TP);
cannam@167 71 Te = T7 + Td;
cannam@167 72 T1i = Td - T7;
cannam@167 73 TR = TO - TQ;
cannam@167 74 T1a = TO + TQ;
cannam@167 75 }
cannam@167 76 }
cannam@167 77 {
cannam@167 78 E Tg, Tj, Th, TI, Tm, Tp, Tn, TK, Tf, Tl;
cannam@167 79 Tg = cr[WS(rs, 2)];
cannam@167 80 Tj = ci[WS(rs, 2)];
cannam@167 81 Tf = W[2];
cannam@167 82 Th = Tf * Tg;
cannam@167 83 TI = Tf * Tj;
cannam@167 84 Tm = cr[WS(rs, 5)];
cannam@167 85 Tp = ci[WS(rs, 5)];
cannam@167 86 Tl = W[8];
cannam@167 87 Tn = Tl * Tm;
cannam@167 88 TK = Tl * Tp;
cannam@167 89 {
cannam@167 90 E Tk, TJ, Tq, TL, Ti, To;
cannam@167 91 Ti = W[3];
cannam@167 92 Tk = FMA(Ti, Tj, Th);
cannam@167 93 TJ = FNMS(Ti, Tg, TI);
cannam@167 94 To = W[9];
cannam@167 95 Tq = FMA(To, Tp, Tn);
cannam@167 96 TL = FNMS(To, Tm, TK);
cannam@167 97 Tr = Tk + Tq;
cannam@167 98 T1h = Tq - Tk;
cannam@167 99 TM = TJ - TL;
cannam@167 100 T1b = TJ + TL;
cannam@167 101 }
cannam@167 102 }
cannam@167 103 {
cannam@167 104 E Tt, Tw, Tu, TS, Tz, TC, TA, TU, Ts, Ty;
cannam@167 105 Tt = cr[WS(rs, 3)];
cannam@167 106 Tw = ci[WS(rs, 3)];
cannam@167 107 Ts = W[4];
cannam@167 108 Tu = Ts * Tt;
cannam@167 109 TS = Ts * Tw;
cannam@167 110 Tz = cr[WS(rs, 4)];
cannam@167 111 TC = ci[WS(rs, 4)];
cannam@167 112 Ty = W[6];
cannam@167 113 TA = Ty * Tz;
cannam@167 114 TU = Ty * TC;
cannam@167 115 {
cannam@167 116 E Tx, TT, TD, TV, Tv, TB;
cannam@167 117 Tv = W[5];
cannam@167 118 Tx = FMA(Tv, Tw, Tu);
cannam@167 119 TT = FNMS(Tv, Tt, TS);
cannam@167 120 TB = W[7];
cannam@167 121 TD = FMA(TB, TC, TA);
cannam@167 122 TV = FNMS(TB, Tz, TU);
cannam@167 123 TE = Tx + TD;
cannam@167 124 T1g = TD - Tx;
cannam@167 125 TW = TT - TV;
cannam@167 126 T1c = TT + TV;
cannam@167 127 }
cannam@167 128 }
cannam@167 129 cr[0] = T1 + Te + Tr + TE;
cannam@167 130 {
cannam@167 131 E TG, TY, TF, TX, TH;
cannam@167 132 TF = FNMS(KP356895867, Tr, Te);
cannam@167 133 TG = FNMS(KP692021471, TF, TE);
cannam@167 134 TX = FMA(KP554958132, TW, TR);
cannam@167 135 TY = FMA(KP801937735, TX, TM);
cannam@167 136 TH = FNMS(KP900968867, TG, T1);
cannam@167 137 ci[0] = FNMS(KP974927912, TY, TH);
cannam@167 138 cr[WS(rs, 1)] = FMA(KP974927912, TY, TH);
cannam@167 139 }
cannam@167 140 ci[WS(rs, 6)] = T1a + T1b + T1c + T19;
cannam@167 141 {
cannam@167 142 E T1r, T1u, T1q, T1t, T1s;
cannam@167 143 T1q = FNMS(KP356895867, T1b, T1a);
cannam@167 144 T1r = FNMS(KP692021471, T1q, T1c);
cannam@167 145 T1t = FMA(KP554958132, T1g, T1i);
cannam@167 146 T1u = FMA(KP801937735, T1t, T1h);
cannam@167 147 T1s = FNMS(KP900968867, T1r, T19);
cannam@167 148 cr[WS(rs, 6)] = FMS(KP974927912, T1u, T1s);
cannam@167 149 ci[WS(rs, 5)] = FMA(KP974927912, T1u, T1s);
cannam@167 150 }
cannam@167 151 {
cannam@167 152 E T1m, T1p, T1l, T1o, T1n;
cannam@167 153 T1l = FNMS(KP356895867, T1a, T1c);
cannam@167 154 T1m = FNMS(KP692021471, T1l, T1b);
cannam@167 155 T1o = FMA(KP554958132, T1h, T1g);
cannam@167 156 T1p = FNMS(KP801937735, T1o, T1i);
cannam@167 157 T1n = FNMS(KP900968867, T1m, T19);
cannam@167 158 cr[WS(rs, 5)] = FMS(KP974927912, T1p, T1n);
cannam@167 159 ci[WS(rs, 4)] = FMA(KP974927912, T1p, T1n);
cannam@167 160 }
cannam@167 161 {
cannam@167 162 E T1e, T1k, T1d, T1j, T1f;
cannam@167 163 T1d = FNMS(KP356895867, T1c, T1b);
cannam@167 164 T1e = FNMS(KP692021471, T1d, T1a);
cannam@167 165 T1j = FNMS(KP554958132, T1i, T1h);
cannam@167 166 T1k = FNMS(KP801937735, T1j, T1g);
cannam@167 167 T1f = FNMS(KP900968867, T1e, T19);
cannam@167 168 cr[WS(rs, 4)] = FMS(KP974927912, T1k, T1f);
cannam@167 169 ci[WS(rs, 3)] = FMA(KP974927912, T1k, T1f);
cannam@167 170 }
cannam@167 171 {
cannam@167 172 E T15, T18, T14, T17, T16;
cannam@167 173 T14 = FNMS(KP356895867, TE, Tr);
cannam@167 174 T15 = FNMS(KP692021471, T14, Te);
cannam@167 175 T17 = FNMS(KP554958132, TR, TM);
cannam@167 176 T18 = FNMS(KP801937735, T17, TW);
cannam@167 177 T16 = FNMS(KP900968867, T15, T1);
cannam@167 178 ci[WS(rs, 2)] = FNMS(KP974927912, T18, T16);
cannam@167 179 cr[WS(rs, 3)] = FMA(KP974927912, T18, T16);
cannam@167 180 }
cannam@167 181 {
cannam@167 182 E T10, T13, TZ, T12, T11;
cannam@167 183 TZ = FNMS(KP356895867, Te, TE);
cannam@167 184 T10 = FNMS(KP692021471, TZ, Tr);
cannam@167 185 T12 = FMA(KP554958132, TM, TW);
cannam@167 186 T13 = FNMS(KP801937735, T12, TR);
cannam@167 187 T11 = FNMS(KP900968867, T10, T1);
cannam@167 188 ci[WS(rs, 1)] = FNMS(KP974927912, T13, T11);
cannam@167 189 cr[WS(rs, 2)] = FMA(KP974927912, T13, T11);
cannam@167 190 }
cannam@167 191 }
cannam@167 192 }
cannam@167 193 }
cannam@167 194
cannam@167 195 static const tw_instr twinstr[] = {
cannam@167 196 {TW_FULL, 1, 7},
cannam@167 197 {TW_NEXT, 1, 0}
cannam@167 198 };
cannam@167 199
cannam@167 200 static const hc2hc_desc desc = { 7, "hf_7", twinstr, &GENUS, {18, 12, 54, 0} };
cannam@167 201
cannam@167 202 void X(codelet_hf_7) (planner *p) {
cannam@167 203 X(khc2hc_register) (p, hf_7, &desc);
cannam@167 204 }
cannam@167 205 #else
cannam@167 206
cannam@167 207 /* Generated by: ../../../genfft/gen_hc2hc.native -compact -variables 4 -pipeline-latency 4 -n 7 -dit -name hf_7 -include rdft/scalar/hf.h */
cannam@167 208
cannam@167 209 /*
cannam@167 210 * This function contains 72 FP additions, 60 FP multiplications,
cannam@167 211 * (or, 36 additions, 24 multiplications, 36 fused multiply/add),
cannam@167 212 * 29 stack variables, 6 constants, and 28 memory accesses
cannam@167 213 */
cannam@167 214 #include "rdft/scalar/hf.h"
cannam@167 215
cannam@167 216 static void hf_7(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
cannam@167 217 {
cannam@167 218 DK(KP222520933, +0.222520933956314404288902564496794759466355569);
cannam@167 219 DK(KP900968867, +0.900968867902419126236102319507445051165919162);
cannam@167 220 DK(KP623489801, +0.623489801858733530525004884004239810632274731);
cannam@167 221 DK(KP433883739, +0.433883739117558120475768332848358754609990728);
cannam@167 222 DK(KP974927912, +0.974927912181823607018131682993931217232785801);
cannam@167 223 DK(KP781831482, +0.781831482468029808708444526674057750232334519);
cannam@167 224 {
cannam@167 225 INT m;
cannam@167 226 for (m = mb, W = W + ((mb - 1) * 12); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 12, MAKE_VOLATILE_STRIDE(14, rs)) {
cannam@167 227 E T1, TT, Tc, TV, TC, TO, Tn, TS, TI, TP, Ty, TU, TF, TQ;
cannam@167 228 T1 = cr[0];
cannam@167 229 TT = ci[0];
cannam@167 230 {
cannam@167 231 E T6, TA, Tb, TB;
cannam@167 232 {
cannam@167 233 E T3, T5, T2, T4;
cannam@167 234 T3 = cr[WS(rs, 1)];
cannam@167 235 T5 = ci[WS(rs, 1)];
cannam@167 236 T2 = W[0];
cannam@167 237 T4 = W[1];
cannam@167 238 T6 = FMA(T2, T3, T4 * T5);
cannam@167 239 TA = FNMS(T4, T3, T2 * T5);
cannam@167 240 }
cannam@167 241 {
cannam@167 242 E T8, Ta, T7, T9;
cannam@167 243 T8 = cr[WS(rs, 6)];
cannam@167 244 Ta = ci[WS(rs, 6)];
cannam@167 245 T7 = W[10];
cannam@167 246 T9 = W[11];
cannam@167 247 Tb = FMA(T7, T8, T9 * Ta);
cannam@167 248 TB = FNMS(T9, T8, T7 * Ta);
cannam@167 249 }
cannam@167 250 Tc = T6 + Tb;
cannam@167 251 TV = TA + TB;
cannam@167 252 TC = TA - TB;
cannam@167 253 TO = Tb - T6;
cannam@167 254 }
cannam@167 255 {
cannam@167 256 E Th, TG, Tm, TH;
cannam@167 257 {
cannam@167 258 E Te, Tg, Td, Tf;
cannam@167 259 Te = cr[WS(rs, 2)];
cannam@167 260 Tg = ci[WS(rs, 2)];
cannam@167 261 Td = W[2];
cannam@167 262 Tf = W[3];
cannam@167 263 Th = FMA(Td, Te, Tf * Tg);
cannam@167 264 TG = FNMS(Tf, Te, Td * Tg);
cannam@167 265 }
cannam@167 266 {
cannam@167 267 E Tj, Tl, Ti, Tk;
cannam@167 268 Tj = cr[WS(rs, 5)];
cannam@167 269 Tl = ci[WS(rs, 5)];
cannam@167 270 Ti = W[8];
cannam@167 271 Tk = W[9];
cannam@167 272 Tm = FMA(Ti, Tj, Tk * Tl);
cannam@167 273 TH = FNMS(Tk, Tj, Ti * Tl);
cannam@167 274 }
cannam@167 275 Tn = Th + Tm;
cannam@167 276 TS = TG + TH;
cannam@167 277 TI = TG - TH;
cannam@167 278 TP = Th - Tm;
cannam@167 279 }
cannam@167 280 {
cannam@167 281 E Ts, TD, Tx, TE;
cannam@167 282 {
cannam@167 283 E Tp, Tr, To, Tq;
cannam@167 284 Tp = cr[WS(rs, 3)];
cannam@167 285 Tr = ci[WS(rs, 3)];
cannam@167 286 To = W[4];
cannam@167 287 Tq = W[5];
cannam@167 288 Ts = FMA(To, Tp, Tq * Tr);
cannam@167 289 TD = FNMS(Tq, Tp, To * Tr);
cannam@167 290 }
cannam@167 291 {
cannam@167 292 E Tu, Tw, Tt, Tv;
cannam@167 293 Tu = cr[WS(rs, 4)];
cannam@167 294 Tw = ci[WS(rs, 4)];
cannam@167 295 Tt = W[6];
cannam@167 296 Tv = W[7];
cannam@167 297 Tx = FMA(Tt, Tu, Tv * Tw);
cannam@167 298 TE = FNMS(Tv, Tu, Tt * Tw);
cannam@167 299 }
cannam@167 300 Ty = Ts + Tx;
cannam@167 301 TU = TD + TE;
cannam@167 302 TF = TD - TE;
cannam@167 303 TQ = Tx - Ts;
cannam@167 304 }
cannam@167 305 {
cannam@167 306 E TL, TK, TZ, T10;
cannam@167 307 cr[0] = T1 + Tc + Tn + Ty;
cannam@167 308 TL = FMA(KP781831482, TC, KP974927912 * TI) + (KP433883739 * TF);
cannam@167 309 TK = FMA(KP623489801, Tc, T1) + FNMA(KP900968867, Ty, KP222520933 * Tn);
cannam@167 310 ci[0] = TK - TL;
cannam@167 311 cr[WS(rs, 1)] = TK + TL;
cannam@167 312 ci[WS(rs, 6)] = TV + TS + TU + TT;
cannam@167 313 TZ = FMA(KP781831482, TO, KP433883739 * TQ) - (KP974927912 * TP);
cannam@167 314 T10 = FMA(KP623489801, TV, TT) + FNMA(KP900968867, TU, KP222520933 * TS);
cannam@167 315 cr[WS(rs, 6)] = TZ - T10;
cannam@167 316 ci[WS(rs, 5)] = TZ + T10;
cannam@167 317 }
cannam@167 318 {
cannam@167 319 E TX, TY, TR, TW;
cannam@167 320 TX = FMA(KP974927912, TO, KP433883739 * TP) - (KP781831482 * TQ);
cannam@167 321 TY = FMA(KP623489801, TU, TT) + FNMA(KP900968867, TS, KP222520933 * TV);
cannam@167 322 cr[WS(rs, 5)] = TX - TY;
cannam@167 323 ci[WS(rs, 4)] = TX + TY;
cannam@167 324 TR = FMA(KP433883739, TO, KP781831482 * TP) + (KP974927912 * TQ);
cannam@167 325 TW = FMA(KP623489801, TS, TT) + FNMA(KP222520933, TU, KP900968867 * TV);
cannam@167 326 cr[WS(rs, 4)] = TR - TW;
cannam@167 327 ci[WS(rs, 3)] = TR + TW;
cannam@167 328 }
cannam@167 329 {
cannam@167 330 E TN, TM, TJ, Tz;
cannam@167 331 TN = FMA(KP433883739, TC, KP974927912 * TF) - (KP781831482 * TI);
cannam@167 332 TM = FMA(KP623489801, Tn, T1) + FNMA(KP222520933, Ty, KP900968867 * Tc);
cannam@167 333 ci[WS(rs, 2)] = TM - TN;
cannam@167 334 cr[WS(rs, 3)] = TM + TN;
cannam@167 335 TJ = FNMS(KP781831482, TF, KP974927912 * TC) - (KP433883739 * TI);
cannam@167 336 Tz = FMA(KP623489801, Ty, T1) + FNMA(KP900968867, Tn, KP222520933 * Tc);
cannam@167 337 ci[WS(rs, 1)] = Tz - TJ;
cannam@167 338 cr[WS(rs, 2)] = Tz + TJ;
cannam@167 339 }
cannam@167 340 }
cannam@167 341 }
cannam@167 342 }
cannam@167 343
cannam@167 344 static const tw_instr twinstr[] = {
cannam@167 345 {TW_FULL, 1, 7},
cannam@167 346 {TW_NEXT, 1, 0}
cannam@167 347 };
cannam@167 348
cannam@167 349 static const hc2hc_desc desc = { 7, "hf_7", twinstr, &GENUS, {36, 24, 36, 0} };
cannam@167 350
cannam@167 351 void X(codelet_hf_7) (planner *p) {
cannam@167 352 X(khc2hc_register) (p, hf_7, &desc);
cannam@167 353 }
cannam@167 354 #endif