comparison fft/fftw/fftw-3.3.4/rdft/scalar/r2cb/hb_12.c @ 19:26056e866c29

Add FFTW to comparison table
author Chris Cannam
date Tue, 06 Oct 2015 13:08:39 +0100
parents
children
comparison
equal deleted inserted replaced
18:8db794ca3e0b 19:26056e866c29
1 /*
2 * Copyright (c) 2003, 2007-14 Matteo Frigo
3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
4 *
5 * This program is free software; you can redistribute it and/or modify
6 * it under the terms of the GNU General Public License as published by
7 * the Free Software Foundation; either version 2 of the License, or
8 * (at your option) any later version.
9 *
10 * This program is distributed in the hope that it will be useful,
11 * but WITHOUT ANY WARRANTY; without even the implied warranty of
12 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
13 * GNU General Public License for more details.
14 *
15 * You should have received a copy of the GNU General Public License
16 * along with this program; if not, write to the Free Software
17 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
18 *
19 */
20
21 /* This file was automatically generated --- DO NOT EDIT */
22 /* Generated on Tue Mar 4 13:50:26 EST 2014 */
23
24 #include "codelet-rdft.h"
25
26 #ifdef HAVE_FMA
27
28 /* Generated by: ../../../genfft/gen_hc2hc.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -sign 1 -n 12 -dif -name hb_12 -include hb.h */
29
30 /*
31 * This function contains 118 FP additions, 68 FP multiplications,
32 * (or, 72 additions, 22 multiplications, 46 fused multiply/add),
33 * 64 stack variables, 2 constants, and 48 memory accesses
34 */
35 #include "hb.h"
36
37 static void hb_12(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
38 {
39 DK(KP866025403, +0.866025403784438646763723170752936183471402627);
40 DK(KP500000000, +0.500000000000000000000000000000000000000000000);
41 {
42 INT m;
43 for (m = mb, W = W + ((mb - 1) * 22); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 22, MAKE_VOLATILE_STRIDE(24, rs)) {
44 E T1U, T1X, T1W, T1Y, T1V;
45 {
46 E T18, T20, T2a, T1s, T21, T1b, T29, T1p, TO, T11, To, Tb, Tg, T23, T1f;
47 E Ty, Tl, Tt, T1z, T2d, T1i, T24, T1w, T2c;
48 {
49 E T5, TN, Ta, TI;
50 {
51 E T1, TE, TM, T6, TJ, T1o, T4, T17, TH, TK, T7, T8;
52 T1 = cr[0];
53 TE = ci[WS(rs, 11)];
54 TM = cr[WS(rs, 6)];
55 T6 = ci[WS(rs, 5)];
56 {
57 E T2, T3, TF, TG;
58 T2 = cr[WS(rs, 4)];
59 T3 = ci[WS(rs, 3)];
60 TF = ci[WS(rs, 7)];
61 TG = cr[WS(rs, 8)];
62 TJ = ci[WS(rs, 9)];
63 T1o = T2 - T3;
64 T4 = T2 + T3;
65 T17 = TF + TG;
66 TH = TF - TG;
67 TK = cr[WS(rs, 10)];
68 T7 = ci[WS(rs, 1)];
69 T8 = cr[WS(rs, 2)];
70 }
71 {
72 E T1a, T1r, T1q, T19, TL, T9, T16, T1n;
73 T5 = T1 + T4;
74 T16 = FNMS(KP500000000, T4, T1);
75 T1a = TJ + TK;
76 TL = TJ - TK;
77 T1r = T7 - T8;
78 T9 = T7 + T8;
79 T18 = FNMS(KP866025403, T17, T16);
80 T20 = FMA(KP866025403, T17, T16);
81 T1q = FMA(KP500000000, TL, TM);
82 TN = TL - TM;
83 Ta = T6 + T9;
84 T19 = FNMS(KP500000000, T9, T6);
85 T1n = FNMS(KP500000000, TH, TE);
86 TI = TE + TH;
87 T2a = FMA(KP866025403, T1r, T1q);
88 T1s = FNMS(KP866025403, T1r, T1q);
89 T21 = FNMS(KP866025403, T1a, T19);
90 T1b = FMA(KP866025403, T1a, T19);
91 T29 = FNMS(KP866025403, T1o, T1n);
92 T1p = FMA(KP866025403, T1o, T1n);
93 }
94 }
95 {
96 E Tc, Tp, Tx, Th, Tu, Tf, T1v, Ts, T1e, Tv, Ti, Tj;
97 Tc = cr[WS(rs, 3)];
98 TO = TI - TN;
99 T11 = TI + TN;
100 Tp = ci[WS(rs, 8)];
101 To = T5 - Ta;
102 Tb = T5 + Ta;
103 Tx = cr[WS(rs, 9)];
104 Th = ci[WS(rs, 2)];
105 {
106 E Td, Te, Tq, Tr;
107 Td = ci[WS(rs, 4)];
108 Te = ci[0];
109 Tq = cr[WS(rs, 7)];
110 Tr = cr[WS(rs, 11)];
111 Tu = ci[WS(rs, 10)];
112 Tf = Td + Te;
113 T1v = Td - Te;
114 Ts = Tq + Tr;
115 T1e = Tq - Tr;
116 Tv = ci[WS(rs, 6)];
117 Ti = cr[WS(rs, 1)];
118 Tj = cr[WS(rs, 5)];
119 }
120 {
121 E T1h, T1y, T1x, T1g, Tw, Tk, T1d, T1u;
122 T1d = FNMS(KP500000000, Tf, Tc);
123 Tg = Tc + Tf;
124 Tw = Tu + Tv;
125 T1h = Tv - Tu;
126 Tk = Ti + Tj;
127 T1y = Ti - Tj;
128 T23 = FNMS(KP866025403, T1e, T1d);
129 T1f = FMA(KP866025403, T1e, T1d);
130 Ty = Tw - Tx;
131 T1x = FMA(KP500000000, Tw, Tx);
132 T1g = FNMS(KP500000000, Tk, Th);
133 Tl = Th + Tk;
134 Tt = Tp - Ts;
135 T1u = FMA(KP500000000, Ts, Tp);
136 T1z = FNMS(KP866025403, T1y, T1x);
137 T2d = FMA(KP866025403, T1y, T1x);
138 T1i = FMA(KP866025403, T1h, T1g);
139 T24 = FNMS(KP866025403, T1h, T1g);
140 T1w = FMA(KP866025403, T1v, T1u);
141 T2c = FNMS(KP866025403, T1v, T1u);
142 }
143 }
144 }
145 {
146 E TY, T13, TX, T10;
147 {
148 E Tn, T12, TC, Tm, TD, TS, TA, Tz;
149 Tn = W[16];
150 T12 = Tt + Ty;
151 Tz = Tt - Ty;
152 TC = W[17];
153 Tm = Tg + Tl;
154 TD = Tg - Tl;
155 TS = To + Tz;
156 TA = To - Tz;
157 {
158 E TV, TU, TW, TT;
159 {
160 E TQ, TR, TP, TB;
161 TV = TO - TD;
162 TP = TD + TO;
163 cr[0] = Tb + Tm;
164 TB = Tn * TA;
165 TQ = Tn * TP;
166 TR = W[4];
167 cr[WS(rs, 9)] = FNMS(TC, TP, TB);
168 TU = W[5];
169 ci[WS(rs, 9)] = FMA(TC, TA, TQ);
170 TW = TR * TV;
171 TT = TR * TS;
172 }
173 ci[WS(rs, 3)] = FMA(TU, TS, TW);
174 cr[WS(rs, 3)] = FNMS(TU, TV, TT);
175 TY = Tb - Tm;
176 T13 = T11 - T12;
177 TX = W[10];
178 T10 = W[11];
179 ci[0] = T11 + T12;
180 }
181 }
182 {
183 E T1K, T1Q, T1P, T1L, T2o, T2u, T2t, T2p;
184 {
185 E T1E, T1D, T1H, T1F, T1G, T1t, T1k, T1A;
186 {
187 E T1c, TZ, T14, T1j;
188 T1K = T18 - T1b;
189 T1c = T18 + T1b;
190 TZ = TX * TY;
191 T14 = T10 * TY;
192 T1j = T1f + T1i;
193 T1Q = T1f - T1i;
194 T1P = T1p + T1s;
195 T1t = T1p - T1s;
196 cr[WS(rs, 6)] = FNMS(T10, T13, TZ);
197 ci[WS(rs, 6)] = FMA(TX, T13, T14);
198 T1E = T1c + T1j;
199 T1k = T1c - T1j;
200 T1A = T1w - T1z;
201 T1L = T1w + T1z;
202 }
203 {
204 E T15, T1m, T1B, T1l, T1C;
205 T15 = W[18];
206 T1m = W[19];
207 T1D = W[6];
208 T1H = T1t + T1A;
209 T1B = T1t - T1A;
210 T1l = T15 * T1k;
211 T1C = T1m * T1k;
212 T1F = T1D * T1E;
213 T1G = W[7];
214 cr[WS(rs, 10)] = FNMS(T1m, T1B, T1l);
215 ci[WS(rs, 10)] = FMA(T15, T1B, T1C);
216 }
217 {
218 E T26, T2i, T2l, T2f, T1Z, T28;
219 {
220 E T22, T1I, T25, T2b, T2e;
221 T22 = T20 + T21;
222 T2o = T20 - T21;
223 cr[WS(rs, 4)] = FNMS(T1G, T1H, T1F);
224 T1I = T1G * T1E;
225 T2u = T23 - T24;
226 T25 = T23 + T24;
227 T2b = T29 - T2a;
228 T2t = T29 + T2a;
229 T2p = T2c + T2d;
230 T2e = T2c - T2d;
231 ci[WS(rs, 4)] = FMA(T1D, T1H, T1I);
232 T26 = T22 - T25;
233 T2i = T22 + T25;
234 T2l = T2b + T2e;
235 T2f = T2b - T2e;
236 }
237 T1Z = W[2];
238 T28 = W[3];
239 {
240 E T2h, T2k, T27, T2g, T2j, T2m;
241 T2h = W[14];
242 T2k = W[15];
243 T27 = T1Z * T26;
244 T2g = T28 * T26;
245 T2j = T2h * T2i;
246 T2m = T2k * T2i;
247 cr[WS(rs, 2)] = FNMS(T28, T2f, T27);
248 ci[WS(rs, 2)] = FMA(T1Z, T2f, T2g);
249 cr[WS(rs, 8)] = FNMS(T2k, T2l, T2j);
250 ci[WS(rs, 8)] = FMA(T2h, T2l, T2m);
251 }
252 }
253 }
254 {
255 E T2y, T2B, T2A, T2C, T2z;
256 {
257 E T2n, T2q, T2v, T2s, T2r, T2x, T2w;
258 T2n = W[8];
259 T2y = T2o + T2p;
260 T2q = T2o - T2p;
261 T2B = T2t - T2u;
262 T2v = T2t + T2u;
263 T2s = W[9];
264 T2r = T2n * T2q;
265 T2x = W[20];
266 T2w = T2n * T2v;
267 T2A = W[21];
268 cr[WS(rs, 5)] = FNMS(T2s, T2v, T2r);
269 T2C = T2x * T2B;
270 T2z = T2x * T2y;
271 ci[WS(rs, 5)] = FMA(T2s, T2q, T2w);
272 }
273 ci[WS(rs, 11)] = FMA(T2A, T2y, T2C);
274 cr[WS(rs, 11)] = FNMS(T2A, T2B, T2z);
275 {
276 E T1J, T1M, T1R, T1O, T1N, T1T, T1S;
277 T1J = W[0];
278 T1U = T1K + T1L;
279 T1M = T1K - T1L;
280 T1X = T1P - T1Q;
281 T1R = T1P + T1Q;
282 T1O = W[1];
283 T1N = T1J * T1M;
284 T1T = W[12];
285 T1S = T1J * T1R;
286 T1W = W[13];
287 cr[WS(rs, 1)] = FNMS(T1O, T1R, T1N);
288 T1Y = T1T * T1X;
289 T1V = T1T * T1U;
290 ci[WS(rs, 1)] = FMA(T1O, T1M, T1S);
291 }
292 }
293 }
294 }
295 }
296 ci[WS(rs, 7)] = FMA(T1W, T1U, T1Y);
297 cr[WS(rs, 7)] = FNMS(T1W, T1X, T1V);
298 }
299 }
300 }
301
302 static const tw_instr twinstr[] = {
303 {TW_FULL, 1, 12},
304 {TW_NEXT, 1, 0}
305 };
306
307 static const hc2hc_desc desc = { 12, "hb_12", twinstr, &GENUS, {72, 22, 46, 0} };
308
309 void X(codelet_hb_12) (planner *p) {
310 X(khc2hc_register) (p, hb_12, &desc);
311 }
312 #else /* HAVE_FMA */
313
314 /* Generated by: ../../../genfft/gen_hc2hc.native -compact -variables 4 -pipeline-latency 4 -sign 1 -n 12 -dif -name hb_12 -include hb.h */
315
316 /*
317 * This function contains 118 FP additions, 60 FP multiplications,
318 * (or, 88 additions, 30 multiplications, 30 fused multiply/add),
319 * 39 stack variables, 2 constants, and 48 memory accesses
320 */
321 #include "hb.h"
322
323 static void hb_12(R *cr, R *ci, const R *W, stride rs, INT mb, INT me, INT ms)
324 {
325 DK(KP500000000, +0.500000000000000000000000000000000000000000000);
326 DK(KP866025403, +0.866025403784438646763723170752936183471402627);
327 {
328 INT m;
329 for (m = mb, W = W + ((mb - 1) * 22); m < me; m = m + 1, cr = cr + ms, ci = ci - ms, W = W + 22, MAKE_VOLATILE_STRIDE(24, rs)) {
330 E T5, TH, T12, T1M, T1i, T1U, Tg, Tt, T19, T1X, T1p, T1P, Ta, TM, T15;
331 E T1N, T1l, T1V, Tl, Ty, T1c, T1Y, T1s, T1Q;
332 {
333 E T1, TD, T4, T1g, TG, T11, T10, T1h;
334 T1 = cr[0];
335 TD = ci[WS(rs, 11)];
336 {
337 E T2, T3, TE, TF;
338 T2 = cr[WS(rs, 4)];
339 T3 = ci[WS(rs, 3)];
340 T4 = T2 + T3;
341 T1g = KP866025403 * (T2 - T3);
342 TE = ci[WS(rs, 7)];
343 TF = cr[WS(rs, 8)];
344 TG = TE - TF;
345 T11 = KP866025403 * (TE + TF);
346 }
347 T5 = T1 + T4;
348 TH = TD + TG;
349 T10 = FNMS(KP500000000, T4, T1);
350 T12 = T10 - T11;
351 T1M = T10 + T11;
352 T1h = FNMS(KP500000000, TG, TD);
353 T1i = T1g + T1h;
354 T1U = T1h - T1g;
355 }
356 {
357 E Tc, Tp, Tf, T17, Ts, T1o, T18, T1n;
358 Tc = cr[WS(rs, 3)];
359 Tp = ci[WS(rs, 8)];
360 {
361 E Td, Te, Tq, Tr;
362 Td = ci[WS(rs, 4)];
363 Te = ci[0];
364 Tf = Td + Te;
365 T17 = KP866025403 * (Td - Te);
366 Tq = cr[WS(rs, 7)];
367 Tr = cr[WS(rs, 11)];
368 Ts = Tq + Tr;
369 T1o = KP866025403 * (Tq - Tr);
370 }
371 Tg = Tc + Tf;
372 Tt = Tp - Ts;
373 T18 = FMA(KP500000000, Ts, Tp);
374 T19 = T17 + T18;
375 T1X = T18 - T17;
376 T1n = FNMS(KP500000000, Tf, Tc);
377 T1p = T1n + T1o;
378 T1P = T1n - T1o;
379 }
380 {
381 E T6, TL, T9, T1j, TK, T14, T13, T1k;
382 T6 = ci[WS(rs, 5)];
383 TL = cr[WS(rs, 6)];
384 {
385 E T7, T8, TI, TJ;
386 T7 = ci[WS(rs, 1)];
387 T8 = cr[WS(rs, 2)];
388 T9 = T7 + T8;
389 T1j = KP866025403 * (T7 - T8);
390 TI = ci[WS(rs, 9)];
391 TJ = cr[WS(rs, 10)];
392 TK = TI - TJ;
393 T14 = KP866025403 * (TI + TJ);
394 }
395 Ta = T6 + T9;
396 TM = TK - TL;
397 T13 = FNMS(KP500000000, T9, T6);
398 T15 = T13 + T14;
399 T1N = T13 - T14;
400 T1k = FMA(KP500000000, TK, TL);
401 T1l = T1j - T1k;
402 T1V = T1j + T1k;
403 }
404 {
405 E Th, Tx, Tk, T1a, Tw, T1r, T1b, T1q;
406 Th = ci[WS(rs, 2)];
407 Tx = cr[WS(rs, 9)];
408 {
409 E Ti, Tj, Tu, Tv;
410 Ti = cr[WS(rs, 1)];
411 Tj = cr[WS(rs, 5)];
412 Tk = Ti + Tj;
413 T1a = KP866025403 * (Ti - Tj);
414 Tu = ci[WS(rs, 10)];
415 Tv = ci[WS(rs, 6)];
416 Tw = Tu + Tv;
417 T1r = KP866025403 * (Tv - Tu);
418 }
419 Tl = Th + Tk;
420 Ty = Tw - Tx;
421 T1b = FMA(KP500000000, Tw, Tx);
422 T1c = T1a - T1b;
423 T1Y = T1a + T1b;
424 T1q = FNMS(KP500000000, Tk, Th);
425 T1s = T1q + T1r;
426 T1Q = T1q - T1r;
427 }
428 {
429 E Tb, Tm, TU, TW, TX, TY, TT, TV;
430 Tb = T5 + Ta;
431 Tm = Tg + Tl;
432 TU = Tb - Tm;
433 TW = TH + TM;
434 TX = Tt + Ty;
435 TY = TW - TX;
436 cr[0] = Tb + Tm;
437 ci[0] = TW + TX;
438 TT = W[10];
439 TV = W[11];
440 cr[WS(rs, 6)] = FNMS(TV, TY, TT * TU);
441 ci[WS(rs, 6)] = FMA(TV, TU, TT * TY);
442 }
443 {
444 E TA, TQ, TO, TS;
445 {
446 E To, Tz, TC, TN;
447 To = T5 - Ta;
448 Tz = Tt - Ty;
449 TA = To - Tz;
450 TQ = To + Tz;
451 TC = Tg - Tl;
452 TN = TH - TM;
453 TO = TC + TN;
454 TS = TN - TC;
455 }
456 {
457 E Tn, TB, TP, TR;
458 Tn = W[16];
459 TB = W[17];
460 cr[WS(rs, 9)] = FNMS(TB, TO, Tn * TA);
461 ci[WS(rs, 9)] = FMA(Tn, TO, TB * TA);
462 TP = W[4];
463 TR = W[5];
464 cr[WS(rs, 3)] = FNMS(TR, TS, TP * TQ);
465 ci[WS(rs, 3)] = FMA(TP, TS, TR * TQ);
466 }
467 }
468 {
469 E T28, T2e, T2c, T2g;
470 {
471 E T26, T27, T2a, T2b;
472 T26 = T1M - T1N;
473 T27 = T1X + T1Y;
474 T28 = T26 - T27;
475 T2e = T26 + T27;
476 T2a = T1U + T1V;
477 T2b = T1P - T1Q;
478 T2c = T2a + T2b;
479 T2g = T2a - T2b;
480 }
481 {
482 E T25, T29, T2d, T2f;
483 T25 = W[8];
484 T29 = W[9];
485 cr[WS(rs, 5)] = FNMS(T29, T2c, T25 * T28);
486 ci[WS(rs, 5)] = FMA(T25, T2c, T29 * T28);
487 T2d = W[20];
488 T2f = W[21];
489 cr[WS(rs, 11)] = FNMS(T2f, T2g, T2d * T2e);
490 ci[WS(rs, 11)] = FMA(T2d, T2g, T2f * T2e);
491 }
492 }
493 {
494 E T1S, T22, T20, T24;
495 {
496 E T1O, T1R, T1W, T1Z;
497 T1O = T1M + T1N;
498 T1R = T1P + T1Q;
499 T1S = T1O - T1R;
500 T22 = T1O + T1R;
501 T1W = T1U - T1V;
502 T1Z = T1X - T1Y;
503 T20 = T1W - T1Z;
504 T24 = T1W + T1Z;
505 }
506 {
507 E T1L, T1T, T21, T23;
508 T1L = W[2];
509 T1T = W[3];
510 cr[WS(rs, 2)] = FNMS(T1T, T20, T1L * T1S);
511 ci[WS(rs, 2)] = FMA(T1T, T1S, T1L * T20);
512 T21 = W[14];
513 T23 = W[15];
514 cr[WS(rs, 8)] = FNMS(T23, T24, T21 * T22);
515 ci[WS(rs, 8)] = FMA(T23, T22, T21 * T24);
516 }
517 }
518 {
519 E T1C, T1I, T1G, T1K;
520 {
521 E T1A, T1B, T1E, T1F;
522 T1A = T12 + T15;
523 T1B = T1p + T1s;
524 T1C = T1A - T1B;
525 T1I = T1A + T1B;
526 T1E = T1i + T1l;
527 T1F = T19 + T1c;
528 T1G = T1E - T1F;
529 T1K = T1E + T1F;
530 }
531 {
532 E T1z, T1D, T1H, T1J;
533 T1z = W[18];
534 T1D = W[19];
535 cr[WS(rs, 10)] = FNMS(T1D, T1G, T1z * T1C);
536 ci[WS(rs, 10)] = FMA(T1D, T1C, T1z * T1G);
537 T1H = W[6];
538 T1J = W[7];
539 cr[WS(rs, 4)] = FNMS(T1J, T1K, T1H * T1I);
540 ci[WS(rs, 4)] = FMA(T1J, T1I, T1H * T1K);
541 }
542 }
543 {
544 E T1e, T1w, T1u, T1y;
545 {
546 E T16, T1d, T1m, T1t;
547 T16 = T12 - T15;
548 T1d = T19 - T1c;
549 T1e = T16 - T1d;
550 T1w = T16 + T1d;
551 T1m = T1i - T1l;
552 T1t = T1p - T1s;
553 T1u = T1m + T1t;
554 T1y = T1m - T1t;
555 }
556 {
557 E TZ, T1f, T1v, T1x;
558 TZ = W[0];
559 T1f = W[1];
560 cr[WS(rs, 1)] = FNMS(T1f, T1u, TZ * T1e);
561 ci[WS(rs, 1)] = FMA(TZ, T1u, T1f * T1e);
562 T1v = W[12];
563 T1x = W[13];
564 cr[WS(rs, 7)] = FNMS(T1x, T1y, T1v * T1w);
565 ci[WS(rs, 7)] = FMA(T1v, T1y, T1x * T1w);
566 }
567 }
568 }
569 }
570 }
571
572 static const tw_instr twinstr[] = {
573 {TW_FULL, 1, 12},
574 {TW_NEXT, 1, 0}
575 };
576
577 static const hc2hc_desc desc = { 12, "hb_12", twinstr, &GENUS, {88, 30, 30, 0} };
578
579 void X(codelet_hb_12) (planner *p) {
580 X(khc2hc_register) (p, hb_12, &desc);
581 }
582 #endif /* HAVE_FMA */