annotate fft/fftw/fftw-3.3.4/rdft/scalar/r2cf/r2cf_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 13:49:08 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_r2cf.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 20 -name r2cf_20 -include r2cf.h */
Chris@19 29
Chris@19 30 /*
Chris@19 31 * This function contains 86 FP additions, 32 FP multiplications,
Chris@19 32 * (or, 58 additions, 4 multiplications, 28 fused multiply/add),
Chris@19 33 * 70 stack variables, 4 constants, and 40 memory accesses
Chris@19 34 */
Chris@19 35 #include "r2cf.h"
Chris@19 36
Chris@19 37 static void r2cf_20(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(KP559016994, +0.559016994374947424102293417182819058860154590);
Chris@19 40 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
Chris@19 41 DK(KP618033988, +0.618033988749894848204586834365638117720309180);
Chris@19 42 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
Chris@19 43 {
Chris@19 44 INT i;
Chris@19 45 for (i = v; i > 0; i = i - 1, R0 = R0 + ivs, R1 = R1 + ivs, Cr = Cr + ovs, Ci = Ci + ovs, MAKE_VOLATILE_STRIDE(80, rs), MAKE_VOLATILE_STRIDE(80, csr), MAKE_VOLATILE_STRIDE(80, csi)) {
Chris@19 46 E T1i, T1c, T1a, T1o, T1m, T1h, T1b, T13, T1j, T1n;
Chris@19 47 {
Chris@19 48 E T3, T1d, TJ, TV, T1k, T16, T19, T1l, Ty, Ti, T12, TD, T1g, TR, TX;
Chris@19 49 E TK, Tt, TU, TW, TL, TE;
Chris@19 50 {
Chris@19 51 E T1, T2, TG, TH;
Chris@19 52 T1 = R0[0];
Chris@19 53 T2 = R0[WS(rs, 5)];
Chris@19 54 TG = R1[WS(rs, 2)];
Chris@19 55 TH = R1[WS(rs, 7)];
Chris@19 56 {
Chris@19 57 E T6, To, T17, Tx, T18, TC, Tj, T9, Tp, Tu, Td, T15, Tm, Tq, Te;
Chris@19 58 E Tf;
Chris@19 59 {
Chris@19 60 E TA, TB, T7, T8;
Chris@19 61 {
Chris@19 62 E T4, TF, TI, T5, Tv, Tw;
Chris@19 63 T4 = R0[WS(rs, 2)];
Chris@19 64 T3 = T1 - T2;
Chris@19 65 TF = T1 + T2;
Chris@19 66 T1d = TG - TH;
Chris@19 67 TI = TG + TH;
Chris@19 68 T5 = R0[WS(rs, 7)];
Chris@19 69 Tv = R1[WS(rs, 6)];
Chris@19 70 Tw = R1[WS(rs, 1)];
Chris@19 71 TJ = TF - TI;
Chris@19 72 TV = TF + TI;
Chris@19 73 T6 = T4 - T5;
Chris@19 74 To = T4 + T5;
Chris@19 75 T17 = Tw - Tv;
Chris@19 76 Tx = Tv + Tw;
Chris@19 77 }
Chris@19 78 TA = R1[WS(rs, 8)];
Chris@19 79 TB = R1[WS(rs, 3)];
Chris@19 80 T7 = R0[WS(rs, 8)];
Chris@19 81 T8 = R0[WS(rs, 3)];
Chris@19 82 {
Chris@19 83 E Tb, Tc, Tk, Tl;
Chris@19 84 Tb = R0[WS(rs, 4)];
Chris@19 85 T18 = TB - TA;
Chris@19 86 TC = TA + TB;
Chris@19 87 Tj = T7 + T8;
Chris@19 88 T9 = T7 - T8;
Chris@19 89 Tc = R0[WS(rs, 9)];
Chris@19 90 Tk = R1[0];
Chris@19 91 Tl = R1[WS(rs, 5)];
Chris@19 92 Tp = R1[WS(rs, 4)];
Chris@19 93 Tu = Tb + Tc;
Chris@19 94 Td = Tb - Tc;
Chris@19 95 T15 = Tl - Tk;
Chris@19 96 Tm = Tk + Tl;
Chris@19 97 Tq = R1[WS(rs, 9)];
Chris@19 98 Te = R0[WS(rs, 6)];
Chris@19 99 Tf = R0[WS(rs, 1)];
Chris@19 100 }
Chris@19 101 }
Chris@19 102 {
Chris@19 103 E Ta, Tr, Tz, T1e, T1f, Th, T14, Tg, TP, TQ;
Chris@19 104 Ta = T6 + T9;
Chris@19 105 T1k = T6 - T9;
Chris@19 106 T14 = Tq - Tp;
Chris@19 107 Tr = Tp + Tq;
Chris@19 108 Tz = Te + Tf;
Chris@19 109 Tg = Te - Tf;
Chris@19 110 T16 = T14 - T15;
Chris@19 111 T1e = T14 + T15;
Chris@19 112 T1f = T17 + T18;
Chris@19 113 T19 = T17 - T18;
Chris@19 114 Th = Td + Tg;
Chris@19 115 T1l = Td - Tg;
Chris@19 116 Ty = Tu - Tx;
Chris@19 117 TP = Tu + Tx;
Chris@19 118 Ti = Ta + Th;
Chris@19 119 T12 = Ta - Th;
Chris@19 120 TD = Tz - TC;
Chris@19 121 TQ = Tz + TC;
Chris@19 122 T1g = T1e + T1f;
Chris@19 123 T1i = T1e - T1f;
Chris@19 124 {
Chris@19 125 E TT, Tn, Ts, TS;
Chris@19 126 TT = Tj + Tm;
Chris@19 127 Tn = Tj - Tm;
Chris@19 128 Ts = To - Tr;
Chris@19 129 TS = To + Tr;
Chris@19 130 TR = TP - TQ;
Chris@19 131 TX = TP + TQ;
Chris@19 132 TK = Ts + Tn;
Chris@19 133 Tt = Tn - Ts;
Chris@19 134 TU = TS - TT;
Chris@19 135 TW = TS + TT;
Chris@19 136 }
Chris@19 137 }
Chris@19 138 }
Chris@19 139 }
Chris@19 140 Cr[WS(csr, 5)] = T3 + Ti;
Chris@19 141 Ci[WS(csi, 5)] = T1g - T1d;
Chris@19 142 TL = Ty + TD;
Chris@19 143 TE = Ty - TD;
Chris@19 144 {
Chris@19 145 E TY, T10, TM, TO, T11, TZ, TN;
Chris@19 146 TY = TW + TX;
Chris@19 147 T10 = TW - TX;
Chris@19 148 Ci[WS(csi, 2)] = KP951056516 * (FMA(KP618033988, Tt, TE));
Chris@19 149 Ci[WS(csi, 6)] = KP951056516 * (FNMS(KP618033988, TE, Tt));
Chris@19 150 Ci[WS(csi, 4)] = KP951056516 * (FMA(KP618033988, TR, TU));
Chris@19 151 Ci[WS(csi, 8)] = -(KP951056516 * (FNMS(KP618033988, TU, TR)));
Chris@19 152 TM = TK + TL;
Chris@19 153 TO = TK - TL;
Chris@19 154 T1c = FNMS(KP618033988, T16, T19);
Chris@19 155 T1a = FMA(KP618033988, T19, T16);
Chris@19 156 Cr[0] = TV + TY;
Chris@19 157 TZ = FNMS(KP250000000, TY, TV);
Chris@19 158 Cr[WS(csr, 10)] = TJ + TM;
Chris@19 159 TN = FNMS(KP250000000, TM, TJ);
Chris@19 160 Cr[WS(csr, 8)] = FNMS(KP559016994, T10, TZ);
Chris@19 161 Cr[WS(csr, 4)] = FMA(KP559016994, T10, TZ);
Chris@19 162 Cr[WS(csr, 6)] = FMA(KP559016994, TO, TN);
Chris@19 163 Cr[WS(csr, 2)] = FNMS(KP559016994, TO, TN);
Chris@19 164 T11 = FNMS(KP250000000, Ti, T3);
Chris@19 165 T1o = FNMS(KP618033988, T1k, T1l);
Chris@19 166 T1m = FMA(KP618033988, T1l, T1k);
Chris@19 167 T1h = FMA(KP250000000, T1g, T1d);
Chris@19 168 T1b = FNMS(KP559016994, T12, T11);
Chris@19 169 T13 = FMA(KP559016994, T12, T11);
Chris@19 170 }
Chris@19 171 }
Chris@19 172 Cr[WS(csr, 3)] = FNMS(KP951056516, T1c, T1b);
Chris@19 173 Cr[WS(csr, 7)] = FMA(KP951056516, T1c, T1b);
Chris@19 174 Cr[WS(csr, 1)] = FMA(KP951056516, T1a, T13);
Chris@19 175 Cr[WS(csr, 9)] = FNMS(KP951056516, T1a, T13);
Chris@19 176 T1j = FNMS(KP559016994, T1i, T1h);
Chris@19 177 T1n = FMA(KP559016994, T1i, T1h);
Chris@19 178 Ci[WS(csi, 3)] = FNMS(KP951056516, T1o, T1n);
Chris@19 179 Ci[WS(csi, 7)] = FMA(KP951056516, T1o, T1n);
Chris@19 180 Ci[WS(csi, 9)] = FMS(KP951056516, T1m, T1j);
Chris@19 181 Ci[WS(csi, 1)] = -(FMA(KP951056516, T1m, T1j));
Chris@19 182 }
Chris@19 183 }
Chris@19 184 }
Chris@19 185
Chris@19 186 static const kr2c_desc desc = { 20, "r2cf_20", {58, 4, 28, 0}, &GENUS };
Chris@19 187
Chris@19 188 void X(codelet_r2cf_20) (planner *p) {
Chris@19 189 X(kr2c_register) (p, r2cf_20, &desc);
Chris@19 190 }
Chris@19 191
Chris@19 192 #else /* HAVE_FMA */
Chris@19 193
Chris@19 194 /* Generated by: ../../../genfft/gen_r2cf.native -compact -variables 4 -pipeline-latency 4 -n 20 -name r2cf_20 -include r2cf.h */
Chris@19 195
Chris@19 196 /*
Chris@19 197 * This function contains 86 FP additions, 24 FP multiplications,
Chris@19 198 * (or, 74 additions, 12 multiplications, 12 fused multiply/add),
Chris@19 199 * 51 stack variables, 4 constants, and 40 memory accesses
Chris@19 200 */
Chris@19 201 #include "r2cf.h"
Chris@19 202
Chris@19 203 static void r2cf_20(R *R0, R *R1, R *Cr, R *Ci, stride rs, stride csr, stride csi, INT v, INT ivs, INT ovs)
Chris@19 204 {
Chris@19 205 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
Chris@19 206 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
Chris@19 207 DK(KP587785252, +0.587785252292473129168705954639072768597652438);
Chris@19 208 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
Chris@19 209 {
Chris@19 210 INT i;
Chris@19 211 for (i = v; i > 0; i = i - 1, R0 = R0 + ivs, R1 = R1 + ivs, Cr = Cr + ovs, Ci = Ci + ovs, MAKE_VOLATILE_STRIDE(80, rs), MAKE_VOLATILE_STRIDE(80, csr), MAKE_VOLATILE_STRIDE(80, csi)) {
Chris@19 212 E T3, T1m, TF, T17, Ts, TM, TN, Tz, Ta, Th, Ti, T1g, T1h, T1k, T10;
Chris@19 213 E T13, T19, TG, TH, TI, T1d, T1e, T1j, TT, TW, T18;
Chris@19 214 {
Chris@19 215 E T1, T2, T15, TD, TE, T16;
Chris@19 216 T1 = R0[0];
Chris@19 217 T2 = R0[WS(rs, 5)];
Chris@19 218 T15 = T1 + T2;
Chris@19 219 TD = R1[WS(rs, 7)];
Chris@19 220 TE = R1[WS(rs, 2)];
Chris@19 221 T16 = TE + TD;
Chris@19 222 T3 = T1 - T2;
Chris@19 223 T1m = T15 + T16;
Chris@19 224 TF = TD - TE;
Chris@19 225 T17 = T15 - T16;
Chris@19 226 }
Chris@19 227 {
Chris@19 228 E T6, TU, Tv, T12, Ty, TZ, T9, TR, Td, TY, To, TS, Tr, TV, Tg;
Chris@19 229 E T11;
Chris@19 230 {
Chris@19 231 E T4, T5, Tt, Tu;
Chris@19 232 T4 = R0[WS(rs, 2)];
Chris@19 233 T5 = R0[WS(rs, 7)];
Chris@19 234 T6 = T4 - T5;
Chris@19 235 TU = T4 + T5;
Chris@19 236 Tt = R1[WS(rs, 8)];
Chris@19 237 Tu = R1[WS(rs, 3)];
Chris@19 238 Tv = Tt - Tu;
Chris@19 239 T12 = Tt + Tu;
Chris@19 240 }
Chris@19 241 {
Chris@19 242 E Tw, Tx, T7, T8;
Chris@19 243 Tw = R1[WS(rs, 6)];
Chris@19 244 Tx = R1[WS(rs, 1)];
Chris@19 245 Ty = Tw - Tx;
Chris@19 246 TZ = Tw + Tx;
Chris@19 247 T7 = R0[WS(rs, 8)];
Chris@19 248 T8 = R0[WS(rs, 3)];
Chris@19 249 T9 = T7 - T8;
Chris@19 250 TR = T7 + T8;
Chris@19 251 }
Chris@19 252 {
Chris@19 253 E Tb, Tc, Tm, Tn;
Chris@19 254 Tb = R0[WS(rs, 4)];
Chris@19 255 Tc = R0[WS(rs, 9)];
Chris@19 256 Td = Tb - Tc;
Chris@19 257 TY = Tb + Tc;
Chris@19 258 Tm = R1[0];
Chris@19 259 Tn = R1[WS(rs, 5)];
Chris@19 260 To = Tm - Tn;
Chris@19 261 TS = Tm + Tn;
Chris@19 262 }
Chris@19 263 {
Chris@19 264 E Tp, Tq, Te, Tf;
Chris@19 265 Tp = R1[WS(rs, 4)];
Chris@19 266 Tq = R1[WS(rs, 9)];
Chris@19 267 Tr = Tp - Tq;
Chris@19 268 TV = Tp + Tq;
Chris@19 269 Te = R0[WS(rs, 6)];
Chris@19 270 Tf = R0[WS(rs, 1)];
Chris@19 271 Tg = Te - Tf;
Chris@19 272 T11 = Te + Tf;
Chris@19 273 }
Chris@19 274 Ts = To - Tr;
Chris@19 275 TM = T6 - T9;
Chris@19 276 TN = Td - Tg;
Chris@19 277 Tz = Tv - Ty;
Chris@19 278 Ta = T6 + T9;
Chris@19 279 Th = Td + Tg;
Chris@19 280 Ti = Ta + Th;
Chris@19 281 T1g = TY + TZ;
Chris@19 282 T1h = T11 + T12;
Chris@19 283 T1k = T1g + T1h;
Chris@19 284 T10 = TY - TZ;
Chris@19 285 T13 = T11 - T12;
Chris@19 286 T19 = T10 + T13;
Chris@19 287 TG = Tr + To;
Chris@19 288 TH = Ty + Tv;
Chris@19 289 TI = TG + TH;
Chris@19 290 T1d = TU + TV;
Chris@19 291 T1e = TR + TS;
Chris@19 292 T1j = T1d + T1e;
Chris@19 293 TT = TR - TS;
Chris@19 294 TW = TU - TV;
Chris@19 295 T18 = TW + TT;
Chris@19 296 }
Chris@19 297 Cr[WS(csr, 5)] = T3 + Ti;
Chris@19 298 Ci[WS(csi, 5)] = TF - TI;
Chris@19 299 {
Chris@19 300 E TX, T14, T1f, T1i;
Chris@19 301 TX = TT - TW;
Chris@19 302 T14 = T10 - T13;
Chris@19 303 Ci[WS(csi, 6)] = FNMS(KP587785252, T14, KP951056516 * TX);
Chris@19 304 Ci[WS(csi, 2)] = FMA(KP587785252, TX, KP951056516 * T14);
Chris@19 305 T1f = T1d - T1e;
Chris@19 306 T1i = T1g - T1h;
Chris@19 307 Ci[WS(csi, 8)] = FNMS(KP951056516, T1i, KP587785252 * T1f);
Chris@19 308 Ci[WS(csi, 4)] = FMA(KP951056516, T1f, KP587785252 * T1i);
Chris@19 309 }
Chris@19 310 {
Chris@19 311 E T1l, T1n, T1o, T1c, T1a, T1b;
Chris@19 312 T1l = KP559016994 * (T1j - T1k);
Chris@19 313 T1n = T1j + T1k;
Chris@19 314 T1o = FNMS(KP250000000, T1n, T1m);
Chris@19 315 Cr[WS(csr, 4)] = T1l + T1o;
Chris@19 316 Cr[0] = T1m + T1n;
Chris@19 317 Cr[WS(csr, 8)] = T1o - T1l;
Chris@19 318 T1c = KP559016994 * (T18 - T19);
Chris@19 319 T1a = T18 + T19;
Chris@19 320 T1b = FNMS(KP250000000, T1a, T17);
Chris@19 321 Cr[WS(csr, 2)] = T1b - T1c;
Chris@19 322 Cr[WS(csr, 10)] = T17 + T1a;
Chris@19 323 Cr[WS(csr, 6)] = T1c + T1b;
Chris@19 324 }
Chris@19 325 {
Chris@19 326 E TA, TC, Tl, TB, Tj, Tk;
Chris@19 327 TA = FMA(KP951056516, Ts, KP587785252 * Tz);
Chris@19 328 TC = FNMS(KP587785252, Ts, KP951056516 * Tz);
Chris@19 329 Tj = KP559016994 * (Ta - Th);
Chris@19 330 Tk = FNMS(KP250000000, Ti, T3);
Chris@19 331 Tl = Tj + Tk;
Chris@19 332 TB = Tk - Tj;
Chris@19 333 Cr[WS(csr, 9)] = Tl - TA;
Chris@19 334 Cr[WS(csr, 7)] = TB + TC;
Chris@19 335 Cr[WS(csr, 1)] = Tl + TA;
Chris@19 336 Cr[WS(csr, 3)] = TB - TC;
Chris@19 337 }
Chris@19 338 {
Chris@19 339 E TO, TQ, TL, TP, TJ, TK;
Chris@19 340 TO = FMA(KP951056516, TM, KP587785252 * TN);
Chris@19 341 TQ = FNMS(KP587785252, TM, KP951056516 * TN);
Chris@19 342 TJ = FMA(KP250000000, TI, TF);
Chris@19 343 TK = KP559016994 * (TH - TG);
Chris@19 344 TL = TJ + TK;
Chris@19 345 TP = TK - TJ;
Chris@19 346 Ci[WS(csi, 1)] = TL - TO;
Chris@19 347 Ci[WS(csi, 7)] = TQ + TP;
Chris@19 348 Ci[WS(csi, 9)] = TO + TL;
Chris@19 349 Ci[WS(csi, 3)] = TP - TQ;
Chris@19 350 }
Chris@19 351 }
Chris@19 352 }
Chris@19 353 }
Chris@19 354
Chris@19 355 static const kr2c_desc desc = { 20, "r2cf_20", {74, 12, 12, 0}, &GENUS };
Chris@19 356
Chris@19 357 void X(codelet_r2cf_20) (planner *p) {
Chris@19 358 X(kr2c_register) (p, r2cf_20, &desc);
Chris@19 359 }
Chris@19 360
Chris@19 361 #endif /* HAVE_FMA */