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comparison src/fftw-3.3.3/dft/scalar/codelets/t2_20.c @ 10:37bf6b4a2645

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Add FFTW3
author Chris Cannam
date Wed, 20 Mar 2013 15:35:50 +0000
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9:c0fb53affa76 10:37bf6b4a2645
1 /*
2 * Copyright (c) 2003, 2007-11 Matteo Frigo
3 * Copyright (c) 2003, 2007-11 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 Sun Nov 25 07:36:09 EST 2012 */
23
24 #include "codelet-dft.h"
25
26 #ifdef HAVE_FMA
27
28 /* Generated by: ../../../genfft/gen_twiddle.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 20 -name t2_20 -include t.h */
29
30 /*
31 * This function contains 276 FP additions, 198 FP multiplications,
32 * (or, 136 additions, 58 multiplications, 140 fused multiply/add),
33 * 142 stack variables, 4 constants, and 80 memory accesses
34 */
35 #include "t.h"
36
37 static void t2_20(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
38 {
39 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
40 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
41 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
42 DK(KP618033988, +0.618033988749894848204586834365638117720309180);
43 {
44 INT m;
45 for (m = mb, W = W + (mb * 8); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 8, MAKE_VOLATILE_STRIDE(40, rs)) {
46 E T59, T5i, T5k, T5e, T5c, T5d, T5j, T5f;
47 {
48 E T2, Th, Tf, T6, T5, Tl, T1p, T1n, Ti, T3, Tt, Tv, T24, T1f, T1D;
49 E Tb, T1P, Tm, T21, T1b, T7, T1A, Tw, T1H, T13, TA, T1L, T17, T1S, Tq;
50 E T1o, T2g, T1t, T2c, TO, TK;
51 {
52 E T1e, Ta, Tk, Tg;
53 T2 = W[0];
54 Th = W[3];
55 Tf = W[2];
56 T6 = W[5];
57 T5 = W[1];
58 Tk = T2 * Th;
59 Tg = T2 * Tf;
60 T1e = Tf * T6;
61 Ta = T2 * T6;
62 Tl = FMA(T5, Tf, Tk);
63 T1p = FNMS(T5, Tf, Tk);
64 T1n = FMA(T5, Th, Tg);
65 Ti = FNMS(T5, Th, Tg);
66 T3 = W[4];
67 Tt = W[6];
68 Tv = W[7];
69 {
70 E Tp, Tj, TN, TJ;
71 Tp = Ti * T6;
72 T24 = FMA(Th, T3, T1e);
73 T1f = FNMS(Th, T3, T1e);
74 T1D = FNMS(T5, T3, Ta);
75 Tb = FMA(T5, T3, Ta);
76 Tj = Ti * T3;
77 {
78 E T1a, T4, Tu, T1G;
79 T1a = Tf * T3;
80 T4 = T2 * T3;
81 Tu = Ti * Tt;
82 T1G = T2 * Tt;
83 {
84 E T12, Tz, T1K, T16;
85 T12 = Tf * Tt;
86 Tz = Ti * Tv;
87 T1K = T2 * Tv;
88 T16 = Tf * Tv;
89 T1P = FNMS(Tl, T6, Tj);
90 Tm = FMA(Tl, T6, Tj);
91 T21 = FNMS(Th, T6, T1a);
92 T1b = FMA(Th, T6, T1a);
93 T7 = FNMS(T5, T6, T4);
94 T1A = FMA(T5, T6, T4);
95 Tw = FMA(Tl, Tv, Tu);
96 T1H = FMA(T5, Tv, T1G);
97 T13 = FMA(Th, Tv, T12);
98 TA = FNMS(Tl, Tt, Tz);
99 T1L = FNMS(T5, Tt, T1K);
100 T17 = FNMS(Th, Tt, T16);
101 T1S = FMA(Tl, T3, Tp);
102 Tq = FNMS(Tl, T3, Tp);
103 }
104 }
105 T1o = T1n * T3;
106 T2g = T1n * Tv;
107 TN = Tm * Tv;
108 TJ = Tm * Tt;
109 T1t = T1n * T6;
110 T2c = T1n * Tt;
111 TO = FNMS(Tq, Tt, TN);
112 TK = FMA(Tq, Tv, TJ);
113 }
114 }
115 {
116 E Te, T2C, T4L, T57, T58, TD, T2H, T4H, T3C, T3Z, T11, T2v, T2P, T3P, T4k;
117 E T4v, T3u, T43, T2r, T2z, T3b, T3T, T4g, T4z, T3n, T42, T20, T2y, T34, T3S;
118 E T4d, T4y, T1c, T19, T1d, T3E, T1w, T2U, T1g, T1j, T1l;
119 {
120 E T2d, T2h, T2k, T1q, T1u, T2n, TL, TI, TM, T3x, TZ, T2N, TP, TS, TU;
121 {
122 E T1, T4K, T8, T9, Tc;
123 T1 = ri[0];
124 T4K = ii[0];
125 T8 = ri[WS(rs, 10)];
126 T2d = FMA(T1p, Tv, T2c);
127 T2h = FNMS(T1p, Tt, T2g);
128 T2k = FMA(T1p, T6, T1o);
129 T1q = FNMS(T1p, T6, T1o);
130 T1u = FMA(T1p, T3, T1t);
131 T2n = FNMS(T1p, T3, T1t);
132 T9 = T7 * T8;
133 Tc = ii[WS(rs, 10)];
134 {
135 E Tx, Ts, T2F, TC, T2E;
136 {
137 E Tn, Tr, To, T2D, T4J, Ty, TB, Td, T4I;
138 Tn = ri[WS(rs, 5)];
139 Tr = ii[WS(rs, 5)];
140 Tx = ri[WS(rs, 15)];
141 Td = FMA(Tb, Tc, T9);
142 T4I = T7 * Tc;
143 To = Tm * Tn;
144 T2D = Tm * Tr;
145 Te = T1 + Td;
146 T2C = T1 - Td;
147 T4J = FNMS(Tb, T8, T4I);
148 Ty = Tw * Tx;
149 TB = ii[WS(rs, 15)];
150 Ts = FMA(Tq, Tr, To);
151 T4L = T4J + T4K;
152 T57 = T4K - T4J;
153 T2F = Tw * TB;
154 TC = FMA(TA, TB, Ty);
155 T2E = FNMS(Tq, Tn, T2D);
156 }
157 {
158 E TF, TG, TH, TW, TY, T2G, T3w, TX, T2M;
159 TF = ri[WS(rs, 4)];
160 T2G = FNMS(TA, Tx, T2F);
161 T58 = Ts - TC;
162 TD = Ts + TC;
163 TG = Ti * TF;
164 T2H = T2E - T2G;
165 T4H = T2E + T2G;
166 TH = ii[WS(rs, 4)];
167 TW = ri[WS(rs, 19)];
168 TY = ii[WS(rs, 19)];
169 TL = ri[WS(rs, 14)];
170 TI = FMA(Tl, TH, TG);
171 T3w = Ti * TH;
172 TX = Tt * TW;
173 T2M = Tt * TY;
174 TM = TK * TL;
175 T3x = FNMS(Tl, TF, T3w);
176 TZ = FMA(Tv, TY, TX);
177 T2N = FNMS(Tv, TW, T2M);
178 TP = ii[WS(rs, 14)];
179 TS = ri[WS(rs, 9)];
180 TU = ii[WS(rs, 9)];
181 }
182 }
183 }
184 {
185 E T27, T26, T28, T3p, T2p, T39, T29, T2e, T2i;
186 {
187 E T22, T23, T25, T2l, T2o, T3o, T2m, T38;
188 {
189 E TR, T2J, T3z, TV, T2L, T4i, T3A;
190 T22 = ri[WS(rs, 12)];
191 {
192 E TQ, T3y, TT, T2K;
193 TQ = FMA(TO, TP, TM);
194 T3y = TK * TP;
195 TT = T3 * TS;
196 T2K = T3 * TU;
197 TR = TI + TQ;
198 T2J = TI - TQ;
199 T3z = FNMS(TO, TL, T3y);
200 TV = FMA(T6, TU, TT);
201 T2L = FNMS(T6, TS, T2K);
202 T23 = T21 * T22;
203 }
204 T4i = T3x + T3z;
205 T3A = T3x - T3z;
206 {
207 E T10, T3B, T4j, T2O;
208 T10 = TV + TZ;
209 T3B = TV - TZ;
210 T4j = T2L + T2N;
211 T2O = T2L - T2N;
212 T3C = T3A + T3B;
213 T3Z = T3A - T3B;
214 T11 = TR - T10;
215 T2v = TR + T10;
216 T2P = T2J - T2O;
217 T3P = T2J + T2O;
218 T4k = T4i - T4j;
219 T4v = T4i + T4j;
220 T25 = ii[WS(rs, 12)];
221 }
222 }
223 T2l = ri[WS(rs, 7)];
224 T2o = ii[WS(rs, 7)];
225 T27 = ri[WS(rs, 2)];
226 T26 = FMA(T24, T25, T23);
227 T3o = T21 * T25;
228 T2m = T2k * T2l;
229 T38 = T2k * T2o;
230 T28 = T1n * T27;
231 T3p = FNMS(T24, T22, T3o);
232 T2p = FMA(T2n, T2o, T2m);
233 T39 = FNMS(T2n, T2l, T38);
234 T29 = ii[WS(rs, 2)];
235 T2e = ri[WS(rs, 17)];
236 T2i = ii[WS(rs, 17)];
237 }
238 {
239 E T1I, T1F, T1J, T3i, T1Y, T32, T1M, T1Q, T1T;
240 {
241 E T1B, T1C, T1E, T1V, T1X, T3h, T1W, T31;
242 {
243 E T2b, T35, T3r, T2j, T37, T4e, T3s;
244 T1B = ri[WS(rs, 8)];
245 {
246 E T2a, T3q, T2f, T36;
247 T2a = FMA(T1p, T29, T28);
248 T3q = T1n * T29;
249 T2f = T2d * T2e;
250 T36 = T2d * T2i;
251 T2b = T26 + T2a;
252 T35 = T26 - T2a;
253 T3r = FNMS(T1p, T27, T3q);
254 T2j = FMA(T2h, T2i, T2f);
255 T37 = FNMS(T2h, T2e, T36);
256 T1C = T1A * T1B;
257 }
258 T4e = T3p + T3r;
259 T3s = T3p - T3r;
260 {
261 E T2q, T3t, T4f, T3a;
262 T2q = T2j + T2p;
263 T3t = T2j - T2p;
264 T4f = T37 + T39;
265 T3a = T37 - T39;
266 T3u = T3s + T3t;
267 T43 = T3s - T3t;
268 T2r = T2b - T2q;
269 T2z = T2b + T2q;
270 T3b = T35 - T3a;
271 T3T = T35 + T3a;
272 T4g = T4e - T4f;
273 T4z = T4e + T4f;
274 T1E = ii[WS(rs, 8)];
275 }
276 }
277 T1V = ri[WS(rs, 3)];
278 T1X = ii[WS(rs, 3)];
279 T1I = ri[WS(rs, 18)];
280 T1F = FMA(T1D, T1E, T1C);
281 T3h = T1A * T1E;
282 T1W = Tf * T1V;
283 T31 = Tf * T1X;
284 T1J = T1H * T1I;
285 T3i = FNMS(T1D, T1B, T3h);
286 T1Y = FMA(Th, T1X, T1W);
287 T32 = FNMS(Th, T1V, T31);
288 T1M = ii[WS(rs, 18)];
289 T1Q = ri[WS(rs, 13)];
290 T1T = ii[WS(rs, 13)];
291 }
292 {
293 E T14, T15, T18, T1r, T1v, T3D, T1s, T2T;
294 {
295 E T1O, T2Y, T3k, T1U, T30, T4b, T3l;
296 T14 = ri[WS(rs, 16)];
297 {
298 E T1N, T3j, T1R, T2Z;
299 T1N = FMA(T1L, T1M, T1J);
300 T3j = T1H * T1M;
301 T1R = T1P * T1Q;
302 T2Z = T1P * T1T;
303 T1O = T1F + T1N;
304 T2Y = T1F - T1N;
305 T3k = FNMS(T1L, T1I, T3j);
306 T1U = FMA(T1S, T1T, T1R);
307 T30 = FNMS(T1S, T1Q, T2Z);
308 T15 = T13 * T14;
309 }
310 T4b = T3i + T3k;
311 T3l = T3i - T3k;
312 {
313 E T1Z, T3m, T4c, T33;
314 T1Z = T1U + T1Y;
315 T3m = T1U - T1Y;
316 T4c = T30 + T32;
317 T33 = T30 - T32;
318 T3n = T3l + T3m;
319 T42 = T3l - T3m;
320 T20 = T1O - T1Z;
321 T2y = T1O + T1Z;
322 T34 = T2Y - T33;
323 T3S = T2Y + T33;
324 T4d = T4b - T4c;
325 T4y = T4b + T4c;
326 T18 = ii[WS(rs, 16)];
327 }
328 }
329 T1r = ri[WS(rs, 11)];
330 T1v = ii[WS(rs, 11)];
331 T1c = ri[WS(rs, 6)];
332 T19 = FMA(T17, T18, T15);
333 T3D = T13 * T18;
334 T1s = T1q * T1r;
335 T2T = T1q * T1v;
336 T1d = T1b * T1c;
337 T3E = FNMS(T17, T14, T3D);
338 T1w = FMA(T1u, T1v, T1s);
339 T2U = FNMS(T1u, T1r, T2T);
340 T1g = ii[WS(rs, 6)];
341 T1j = ri[WS(rs, 1)];
342 T1l = ii[WS(rs, 1)];
343 }
344 }
345 }
346 }
347 {
348 E T3J, T40, T2W, T3Q, T4M, T4E, T4F, T4U, T4S;
349 {
350 E T4X, T2u, T2w, T4w, T4W, T4r, T4p, T54, T56, T4V, T4a, T4q;
351 {
352 E T4h, TE, T4n, T53, T1z, T2s, T52;
353 {
354 E T1i, T2Q, T3G, T1m, T2S, T4l, T3H;
355 T4h = T4d - T4g;
356 T4X = T4d + T4g;
357 {
358 E T1h, T3F, T1k, T2R;
359 T1h = FMA(T1f, T1g, T1d);
360 T3F = T1b * T1g;
361 T1k = T2 * T1j;
362 T2R = T2 * T1l;
363 T1i = T19 + T1h;
364 T2Q = T19 - T1h;
365 T3G = FNMS(T1f, T1c, T3F);
366 T1m = FMA(T5, T1l, T1k);
367 T2S = FNMS(T5, T1j, T2R);
368 }
369 TE = Te - TD;
370 T2u = Te + TD;
371 T4l = T3E + T3G;
372 T3H = T3E - T3G;
373 {
374 E T1x, T3I, T4m, T2V, T1y;
375 T1x = T1m + T1w;
376 T3I = T1m - T1w;
377 T4m = T2S + T2U;
378 T2V = T2S - T2U;
379 T3J = T3H + T3I;
380 T40 = T3H - T3I;
381 T1y = T1i - T1x;
382 T2w = T1i + T1x;
383 T2W = T2Q - T2V;
384 T3Q = T2Q + T2V;
385 T4n = T4l - T4m;
386 T4w = T4l + T4m;
387 T53 = T11 - T1y;
388 T1z = T11 + T1y;
389 T2s = T20 + T2r;
390 T52 = T20 - T2r;
391 }
392 }
393 {
394 E T49, T48, T4o, T2t;
395 T4o = T4k - T4n;
396 T4W = T4k + T4n;
397 T49 = T1z - T2s;
398 T2t = T1z + T2s;
399 T4r = FMA(KP618033988, T4h, T4o);
400 T4p = FNMS(KP618033988, T4o, T4h);
401 T54 = FNMS(KP618033988, T53, T52);
402 T56 = FMA(KP618033988, T52, T53);
403 ri[WS(rs, 10)] = TE + T2t;
404 T48 = FNMS(KP250000000, T2t, TE);
405 T4V = T4L - T4H;
406 T4M = T4H + T4L;
407 T4a = FNMS(KP559016994, T49, T48);
408 T4q = FMA(KP559016994, T49, T48);
409 }
410 }
411 {
412 E T2x, T4Q, T4B, T4D, T4R, T2A, T51, T55;
413 {
414 E T4x, T50, T4Y, T4A, T4Z;
415 T4E = T4v + T4w;
416 T4x = T4v - T4w;
417 ri[WS(rs, 18)] = FMA(KP951056516, T4p, T4a);
418 ri[WS(rs, 2)] = FNMS(KP951056516, T4p, T4a);
419 ri[WS(rs, 6)] = FMA(KP951056516, T4r, T4q);
420 ri[WS(rs, 14)] = FNMS(KP951056516, T4r, T4q);
421 T50 = T4W - T4X;
422 T4Y = T4W + T4X;
423 T4A = T4y - T4z;
424 T4F = T4y + T4z;
425 T2x = T2v + T2w;
426 T4Q = T2v - T2w;
427 ii[WS(rs, 10)] = T4Y + T4V;
428 T4Z = FNMS(KP250000000, T4Y, T4V);
429 T4B = FMA(KP618033988, T4A, T4x);
430 T4D = FNMS(KP618033988, T4x, T4A);
431 T4R = T2y - T2z;
432 T2A = T2y + T2z;
433 T51 = FNMS(KP559016994, T50, T4Z);
434 T55 = FMA(KP559016994, T50, T4Z);
435 }
436 {
437 E T4t, T4s, T2B, T4u, T4C;
438 T2B = T2x + T2A;
439 T4t = T2x - T2A;
440 ii[WS(rs, 18)] = FNMS(KP951056516, T54, T51);
441 ii[WS(rs, 2)] = FMA(KP951056516, T54, T51);
442 ii[WS(rs, 14)] = FMA(KP951056516, T56, T55);
443 ii[WS(rs, 6)] = FNMS(KP951056516, T56, T55);
444 ri[0] = T2u + T2B;
445 T4s = FNMS(KP250000000, T2B, T2u);
446 T4u = FMA(KP559016994, T4t, T4s);
447 T4C = FNMS(KP559016994, T4t, T4s);
448 T4U = FNMS(KP618033988, T4Q, T4R);
449 T4S = FMA(KP618033988, T4R, T4Q);
450 ri[WS(rs, 16)] = FMA(KP951056516, T4B, T4u);
451 ri[WS(rs, 4)] = FNMS(KP951056516, T4B, T4u);
452 ri[WS(rs, 8)] = FMA(KP951056516, T4D, T4C);
453 ri[WS(rs, 12)] = FNMS(KP951056516, T4D, T4C);
454 }
455 }
456 }
457 {
458 E T3O, T5u, T5w, T5l, T5q, T5o;
459 {
460 E T5n, T5m, T2I, T4O, T3N, T3L, T2X, T5t, T4N, T5s, T3c, T3v, T3K, T4G;
461 T5n = T3n + T3u;
462 T3v = T3n - T3u;
463 T3K = T3C - T3J;
464 T5m = T3C + T3J;
465 T3O = T2C + T2H;
466 T2I = T2C - T2H;
467 T4O = T4E - T4F;
468 T4G = T4E + T4F;
469 T3N = FMA(KP618033988, T3v, T3K);
470 T3L = FNMS(KP618033988, T3K, T3v);
471 T2X = T2P + T2W;
472 T5t = T2P - T2W;
473 ii[0] = T4G + T4M;
474 T4N = FNMS(KP250000000, T4G, T4M);
475 T5s = T34 - T3b;
476 T3c = T34 + T3b;
477 {
478 E T3f, T3e, T4P, T4T, T3d, T3M, T3g;
479 T4P = FMA(KP559016994, T4O, T4N);
480 T4T = FNMS(KP559016994, T4O, T4N);
481 T3f = T2X - T3c;
482 T3d = T2X + T3c;
483 ii[WS(rs, 16)] = FNMS(KP951056516, T4S, T4P);
484 ii[WS(rs, 4)] = FMA(KP951056516, T4S, T4P);
485 ii[WS(rs, 12)] = FMA(KP951056516, T4U, T4T);
486 ii[WS(rs, 8)] = FNMS(KP951056516, T4U, T4T);
487 ri[WS(rs, 15)] = T2I + T3d;
488 T3e = FNMS(KP250000000, T3d, T2I);
489 T5u = FNMS(KP618033988, T5t, T5s);
490 T5w = FMA(KP618033988, T5s, T5t);
491 T5l = T58 + T57;
492 T59 = T57 - T58;
493 T3M = FMA(KP559016994, T3f, T3e);
494 T3g = FNMS(KP559016994, T3f, T3e);
495 ri[WS(rs, 7)] = FNMS(KP951056516, T3L, T3g);
496 ri[WS(rs, 3)] = FMA(KP951056516, T3L, T3g);
497 ri[WS(rs, 19)] = FNMS(KP951056516, T3N, T3M);
498 ri[WS(rs, 11)] = FMA(KP951056516, T3N, T3M);
499 T5q = T5m - T5n;
500 T5o = T5m + T5n;
501 }
502 }
503 {
504 E T5a, T5b, T47, T45, T5g, T5h, T3V, T3X, T41, T44, T5p, T3W, T46, T3Y;
505 T5a = T3Z + T40;
506 T41 = T3Z - T40;
507 T44 = T42 - T43;
508 T5b = T42 + T43;
509 ii[WS(rs, 15)] = T5o + T5l;
510 T5p = FNMS(KP250000000, T5o, T5l);
511 T47 = FNMS(KP618033988, T41, T44);
512 T45 = FMA(KP618033988, T44, T41);
513 {
514 E T5r, T5v, T3R, T3U;
515 T5r = FNMS(KP559016994, T5q, T5p);
516 T5v = FMA(KP559016994, T5q, T5p);
517 T3R = T3P + T3Q;
518 T5g = T3P - T3Q;
519 T5h = T3S - T3T;
520 T3U = T3S + T3T;
521 ii[WS(rs, 7)] = FMA(KP951056516, T5u, T5r);
522 ii[WS(rs, 3)] = FNMS(KP951056516, T5u, T5r);
523 ii[WS(rs, 19)] = FMA(KP951056516, T5w, T5v);
524 ii[WS(rs, 11)] = FNMS(KP951056516, T5w, T5v);
525 T3V = T3R + T3U;
526 T3X = T3R - T3U;
527 }
528 ri[WS(rs, 5)] = T3O + T3V;
529 T3W = FNMS(KP250000000, T3V, T3O);
530 T5i = FMA(KP618033988, T5h, T5g);
531 T5k = FNMS(KP618033988, T5g, T5h);
532 T46 = FNMS(KP559016994, T3X, T3W);
533 T3Y = FMA(KP559016994, T3X, T3W);
534 ri[WS(rs, 9)] = FNMS(KP951056516, T45, T3Y);
535 ri[WS(rs, 1)] = FMA(KP951056516, T45, T3Y);
536 ri[WS(rs, 17)] = FNMS(KP951056516, T47, T46);
537 ri[WS(rs, 13)] = FMA(KP951056516, T47, T46);
538 T5e = T5a - T5b;
539 T5c = T5a + T5b;
540 }
541 }
542 }
543 }
544 }
545 ii[WS(rs, 5)] = T5c + T59;
546 T5d = FNMS(KP250000000, T5c, T59);
547 T5j = FNMS(KP559016994, T5e, T5d);
548 T5f = FMA(KP559016994, T5e, T5d);
549 ii[WS(rs, 9)] = FMA(KP951056516, T5i, T5f);
550 ii[WS(rs, 1)] = FNMS(KP951056516, T5i, T5f);
551 ii[WS(rs, 17)] = FMA(KP951056516, T5k, T5j);
552 ii[WS(rs, 13)] = FNMS(KP951056516, T5k, T5j);
553 }
554 }
555 }
556
557 static const tw_instr twinstr[] = {
558 {TW_CEXP, 0, 1},
559 {TW_CEXP, 0, 3},
560 {TW_CEXP, 0, 9},
561 {TW_CEXP, 0, 19},
562 {TW_NEXT, 1, 0}
563 };
564
565 static const ct_desc desc = { 20, "t2_20", twinstr, &GENUS, {136, 58, 140, 0}, 0, 0, 0 };
566
567 void X(codelet_t2_20) (planner *p) {
568 X(kdft_dit_register) (p, t2_20, &desc);
569 }
570 #else /* HAVE_FMA */
571
572 /* Generated by: ../../../genfft/gen_twiddle.native -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 20 -name t2_20 -include t.h */
573
574 /*
575 * This function contains 276 FP additions, 164 FP multiplications,
576 * (or, 204 additions, 92 multiplications, 72 fused multiply/add),
577 * 123 stack variables, 4 constants, and 80 memory accesses
578 */
579 #include "t.h"
580
581 static void t2_20(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
582 {
583 DK(KP587785252, +0.587785252292473129168705954639072768597652438);
584 DK(KP951056516, +0.951056516295153572116439333379382143405698634);
585 DK(KP250000000, +0.250000000000000000000000000000000000000000000);
586 DK(KP559016994, +0.559016994374947424102293417182819058860154590);
587 {
588 INT m;
589 for (m = mb, W = W + (mb * 8); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 8, MAKE_VOLATILE_STRIDE(40, rs)) {
590 E T2, T5, Tg, Ti, Tk, To, T1h, T1f, T6, T3, T8, T14, T1Q, Tc, T1O;
591 E T1v, T18, T1t, T1n, T24, T1j, T22, Tq, Tu, T1E, T1G, Tx, Ty, Tz, TJ;
592 E T1Z, TB, T1X, T1A, TZ, TL, T1y, TX;
593 {
594 E T7, T16, Ta, T13, T4, T17, Tb, T12;
595 {
596 E Th, Tn, Tj, Tm;
597 T2 = W[0];
598 T5 = W[1];
599 Tg = W[2];
600 Ti = W[3];
601 Th = T2 * Tg;
602 Tn = T5 * Tg;
603 Tj = T5 * Ti;
604 Tm = T2 * Ti;
605 Tk = Th - Tj;
606 To = Tm + Tn;
607 T1h = Tm - Tn;
608 T1f = Th + Tj;
609 T6 = W[5];
610 T7 = T5 * T6;
611 T16 = Tg * T6;
612 Ta = T2 * T6;
613 T13 = Ti * T6;
614 T3 = W[4];
615 T4 = T2 * T3;
616 T17 = Ti * T3;
617 Tb = T5 * T3;
618 T12 = Tg * T3;
619 }
620 T8 = T4 - T7;
621 T14 = T12 + T13;
622 T1Q = T16 + T17;
623 Tc = Ta + Tb;
624 T1O = T12 - T13;
625 T1v = Ta - Tb;
626 T18 = T16 - T17;
627 T1t = T4 + T7;
628 {
629 E T1l, T1m, T1g, T1i;
630 T1l = T1f * T6;
631 T1m = T1h * T3;
632 T1n = T1l + T1m;
633 T24 = T1l - T1m;
634 T1g = T1f * T3;
635 T1i = T1h * T6;
636 T1j = T1g - T1i;
637 T22 = T1g + T1i;
638 {
639 E Tl, Tp, Ts, Tt;
640 Tl = Tk * T3;
641 Tp = To * T6;
642 Tq = Tl + Tp;
643 Ts = Tk * T6;
644 Tt = To * T3;
645 Tu = Ts - Tt;
646 T1E = Tl - Tp;
647 T1G = Ts + Tt;
648 Tx = W[6];
649 Ty = W[7];
650 Tz = FMA(Tk, Tx, To * Ty);
651 TJ = FMA(Tq, Tx, Tu * Ty);
652 T1Z = FNMS(T1h, Tx, T1f * Ty);
653 TB = FNMS(To, Tx, Tk * Ty);
654 T1X = FMA(T1f, Tx, T1h * Ty);
655 T1A = FNMS(T5, Tx, T2 * Ty);
656 TZ = FNMS(Ti, Tx, Tg * Ty);
657 TL = FNMS(Tu, Tx, Tq * Ty);
658 T1y = FMA(T2, Tx, T5 * Ty);
659 TX = FMA(Tg, Tx, Ti * Ty);
660 }
661 }
662 }
663 {
664 E TF, T2b, T4A, T4J, T2K, T3r, T4a, T4m, T1N, T28, T29, T3C, T3F, T4o, T3X;
665 E T3Y, T44, T2f, T2g, T2h, T2n, T2s, T4L, T3g, T3h, T4w, T3n, T3o, T3p, T30;
666 E T35, T36, TW, T1r, T1s, T3J, T3M, T4n, T3U, T3V, T43, T2c, T2d, T2e, T2y;
667 E T2D, T4K, T3d, T3e, T4v, T3k, T3l, T3m, T2P, T2U, T2V;
668 {
669 E T1, T48, Te, T47, Tw, T2H, TD, T2I, T9, Td;
670 T1 = ri[0];
671 T48 = ii[0];
672 T9 = ri[WS(rs, 10)];
673 Td = ii[WS(rs, 10)];
674 Te = FMA(T8, T9, Tc * Td);
675 T47 = FNMS(Tc, T9, T8 * Td);
676 {
677 E Tr, Tv, TA, TC;
678 Tr = ri[WS(rs, 5)];
679 Tv = ii[WS(rs, 5)];
680 Tw = FMA(Tq, Tr, Tu * Tv);
681 T2H = FNMS(Tu, Tr, Tq * Tv);
682 TA = ri[WS(rs, 15)];
683 TC = ii[WS(rs, 15)];
684 TD = FMA(Tz, TA, TB * TC);
685 T2I = FNMS(TB, TA, Tz * TC);
686 }
687 {
688 E Tf, TE, T4y, T4z;
689 Tf = T1 + Te;
690 TE = Tw + TD;
691 TF = Tf - TE;
692 T2b = Tf + TE;
693 T4y = T48 - T47;
694 T4z = Tw - TD;
695 T4A = T4y - T4z;
696 T4J = T4z + T4y;
697 }
698 {
699 E T2G, T2J, T46, T49;
700 T2G = T1 - Te;
701 T2J = T2H - T2I;
702 T2K = T2G - T2J;
703 T3r = T2G + T2J;
704 T46 = T2H + T2I;
705 T49 = T47 + T48;
706 T4a = T46 + T49;
707 T4m = T49 - T46;
708 }
709 }
710 {
711 E T1D, T3A, T2l, T2W, T27, T3E, T2r, T34, T1M, T3B, T2m, T2Z, T1W, T3D, T2q;
712 E T31;
713 {
714 E T1x, T2j, T1C, T2k;
715 {
716 E T1u, T1w, T1z, T1B;
717 T1u = ri[WS(rs, 8)];
718 T1w = ii[WS(rs, 8)];
719 T1x = FMA(T1t, T1u, T1v * T1w);
720 T2j = FNMS(T1v, T1u, T1t * T1w);
721 T1z = ri[WS(rs, 18)];
722 T1B = ii[WS(rs, 18)];
723 T1C = FMA(T1y, T1z, T1A * T1B);
724 T2k = FNMS(T1A, T1z, T1y * T1B);
725 }
726 T1D = T1x + T1C;
727 T3A = T2j + T2k;
728 T2l = T2j - T2k;
729 T2W = T1x - T1C;
730 }
731 {
732 E T21, T32, T26, T33;
733 {
734 E T1Y, T20, T23, T25;
735 T1Y = ri[WS(rs, 17)];
736 T20 = ii[WS(rs, 17)];
737 T21 = FMA(T1X, T1Y, T1Z * T20);
738 T32 = FNMS(T1Z, T1Y, T1X * T20);
739 T23 = ri[WS(rs, 7)];
740 T25 = ii[WS(rs, 7)];
741 T26 = FMA(T22, T23, T24 * T25);
742 T33 = FNMS(T24, T23, T22 * T25);
743 }
744 T27 = T21 + T26;
745 T3E = T32 + T33;
746 T2r = T21 - T26;
747 T34 = T32 - T33;
748 }
749 {
750 E T1I, T2X, T1L, T2Y;
751 {
752 E T1F, T1H, T1J, T1K;
753 T1F = ri[WS(rs, 13)];
754 T1H = ii[WS(rs, 13)];
755 T1I = FMA(T1E, T1F, T1G * T1H);
756 T2X = FNMS(T1G, T1F, T1E * T1H);
757 T1J = ri[WS(rs, 3)];
758 T1K = ii[WS(rs, 3)];
759 T1L = FMA(Tg, T1J, Ti * T1K);
760 T2Y = FNMS(Ti, T1J, Tg * T1K);
761 }
762 T1M = T1I + T1L;
763 T3B = T2X + T2Y;
764 T2m = T1I - T1L;
765 T2Z = T2X - T2Y;
766 }
767 {
768 E T1S, T2o, T1V, T2p;
769 {
770 E T1P, T1R, T1T, T1U;
771 T1P = ri[WS(rs, 12)];
772 T1R = ii[WS(rs, 12)];
773 T1S = FMA(T1O, T1P, T1Q * T1R);
774 T2o = FNMS(T1Q, T1P, T1O * T1R);
775 T1T = ri[WS(rs, 2)];
776 T1U = ii[WS(rs, 2)];
777 T1V = FMA(T1f, T1T, T1h * T1U);
778 T2p = FNMS(T1h, T1T, T1f * T1U);
779 }
780 T1W = T1S + T1V;
781 T3D = T2o + T2p;
782 T2q = T2o - T2p;
783 T31 = T1S - T1V;
784 }
785 T1N = T1D - T1M;
786 T28 = T1W - T27;
787 T29 = T1N + T28;
788 T3C = T3A - T3B;
789 T3F = T3D - T3E;
790 T4o = T3C + T3F;
791 T3X = T3A + T3B;
792 T3Y = T3D + T3E;
793 T44 = T3X + T3Y;
794 T2f = T1D + T1M;
795 T2g = T1W + T27;
796 T2h = T2f + T2g;
797 T2n = T2l + T2m;
798 T2s = T2q + T2r;
799 T4L = T2n + T2s;
800 T3g = T2l - T2m;
801 T3h = T2q - T2r;
802 T4w = T3g + T3h;
803 T3n = T2W + T2Z;
804 T3o = T31 + T34;
805 T3p = T3n + T3o;
806 T30 = T2W - T2Z;
807 T35 = T31 - T34;
808 T36 = T30 + T35;
809 }
810 {
811 E TO, T3H, T2w, T2L, T1q, T3L, T2C, T2T, TV, T3I, T2x, T2O, T1b, T3K, T2B;
812 E T2Q;
813 {
814 E TI, T2u, TN, T2v;
815 {
816 E TG, TH, TK, TM;
817 TG = ri[WS(rs, 4)];
818 TH = ii[WS(rs, 4)];
819 TI = FMA(Tk, TG, To * TH);
820 T2u = FNMS(To, TG, Tk * TH);
821 TK = ri[WS(rs, 14)];
822 TM = ii[WS(rs, 14)];
823 TN = FMA(TJ, TK, TL * TM);
824 T2v = FNMS(TL, TK, TJ * TM);
825 }
826 TO = TI + TN;
827 T3H = T2u + T2v;
828 T2w = T2u - T2v;
829 T2L = TI - TN;
830 }
831 {
832 E T1e, T2R, T1p, T2S;
833 {
834 E T1c, T1d, T1k, T1o;
835 T1c = ri[WS(rs, 1)];
836 T1d = ii[WS(rs, 1)];
837 T1e = FMA(T2, T1c, T5 * T1d);
838 T2R = FNMS(T5, T1c, T2 * T1d);
839 T1k = ri[WS(rs, 11)];
840 T1o = ii[WS(rs, 11)];
841 T1p = FMA(T1j, T1k, T1n * T1o);
842 T2S = FNMS(T1n, T1k, T1j * T1o);
843 }
844 T1q = T1e + T1p;
845 T3L = T2R + T2S;
846 T2C = T1e - T1p;
847 T2T = T2R - T2S;
848 }
849 {
850 E TR, T2M, TU, T2N;
851 {
852 E TP, TQ, TS, TT;
853 TP = ri[WS(rs, 9)];
854 TQ = ii[WS(rs, 9)];
855 TR = FMA(T3, TP, T6 * TQ);
856 T2M = FNMS(T6, TP, T3 * TQ);
857 TS = ri[WS(rs, 19)];
858 TT = ii[WS(rs, 19)];
859 TU = FMA(Tx, TS, Ty * TT);
860 T2N = FNMS(Ty, TS, Tx * TT);
861 }
862 TV = TR + TU;
863 T3I = T2M + T2N;
864 T2x = TR - TU;
865 T2O = T2M - T2N;
866 }
867 {
868 E T11, T2z, T1a, T2A;
869 {
870 E TY, T10, T15, T19;
871 TY = ri[WS(rs, 16)];
872 T10 = ii[WS(rs, 16)];
873 T11 = FMA(TX, TY, TZ * T10);
874 T2z = FNMS(TZ, TY, TX * T10);
875 T15 = ri[WS(rs, 6)];
876 T19 = ii[WS(rs, 6)];
877 T1a = FMA(T14, T15, T18 * T19);
878 T2A = FNMS(T18, T15, T14 * T19);
879 }
880 T1b = T11 + T1a;
881 T3K = T2z + T2A;
882 T2B = T2z - T2A;
883 T2Q = T11 - T1a;
884 }
885 TW = TO - TV;
886 T1r = T1b - T1q;
887 T1s = TW + T1r;
888 T3J = T3H - T3I;
889 T3M = T3K - T3L;
890 T4n = T3J + T3M;
891 T3U = T3H + T3I;
892 T3V = T3K + T3L;
893 T43 = T3U + T3V;
894 T2c = TO + TV;
895 T2d = T1b + T1q;
896 T2e = T2c + T2d;
897 T2y = T2w + T2x;
898 T2D = T2B + T2C;
899 T4K = T2y + T2D;
900 T3d = T2w - T2x;
901 T3e = T2B - T2C;
902 T4v = T3d + T3e;
903 T3k = T2L + T2O;
904 T3l = T2Q + T2T;
905 T3m = T3k + T3l;
906 T2P = T2L - T2O;
907 T2U = T2Q - T2T;
908 T2V = T2P + T2U;
909 }
910 {
911 E T3y, T2a, T3x, T3O, T3Q, T3G, T3N, T3P, T3z;
912 T3y = KP559016994 * (T1s - T29);
913 T2a = T1s + T29;
914 T3x = FNMS(KP250000000, T2a, TF);
915 T3G = T3C - T3F;
916 T3N = T3J - T3M;
917 T3O = FNMS(KP587785252, T3N, KP951056516 * T3G);
918 T3Q = FMA(KP951056516, T3N, KP587785252 * T3G);
919 ri[WS(rs, 10)] = TF + T2a;
920 T3P = T3y + T3x;
921 ri[WS(rs, 14)] = T3P - T3Q;
922 ri[WS(rs, 6)] = T3P + T3Q;
923 T3z = T3x - T3y;
924 ri[WS(rs, 2)] = T3z - T3O;
925 ri[WS(rs, 18)] = T3z + T3O;
926 }
927 {
928 E T4r, T4p, T4q, T4l, T4u, T4j, T4k, T4t, T4s;
929 T4r = KP559016994 * (T4n - T4o);
930 T4p = T4n + T4o;
931 T4q = FNMS(KP250000000, T4p, T4m);
932 T4j = T1N - T28;
933 T4k = TW - T1r;
934 T4l = FNMS(KP587785252, T4k, KP951056516 * T4j);
935 T4u = FMA(KP951056516, T4k, KP587785252 * T4j);
936 ii[WS(rs, 10)] = T4p + T4m;
937 T4t = T4r + T4q;
938 ii[WS(rs, 6)] = T4t - T4u;
939 ii[WS(rs, 14)] = T4u + T4t;
940 T4s = T4q - T4r;
941 ii[WS(rs, 2)] = T4l + T4s;
942 ii[WS(rs, 18)] = T4s - T4l;
943 }
944 {
945 E T3R, T2i, T3S, T40, T42, T3W, T3Z, T41, T3T;
946 T3R = KP559016994 * (T2e - T2h);
947 T2i = T2e + T2h;
948 T3S = FNMS(KP250000000, T2i, T2b);
949 T3W = T3U - T3V;
950 T3Z = T3X - T3Y;
951 T40 = FMA(KP951056516, T3W, KP587785252 * T3Z);
952 T42 = FNMS(KP587785252, T3W, KP951056516 * T3Z);
953 ri[0] = T2b + T2i;
954 T41 = T3S - T3R;
955 ri[WS(rs, 12)] = T41 - T42;
956 ri[WS(rs, 8)] = T41 + T42;
957 T3T = T3R + T3S;
958 ri[WS(rs, 4)] = T3T - T40;
959 ri[WS(rs, 16)] = T3T + T40;
960 }
961 {
962 E T4e, T45, T4f, T4d, T4i, T4b, T4c, T4h, T4g;
963 T4e = KP559016994 * (T43 - T44);
964 T45 = T43 + T44;
965 T4f = FNMS(KP250000000, T45, T4a);
966 T4b = T2c - T2d;
967 T4c = T2f - T2g;
968 T4d = FMA(KP951056516, T4b, KP587785252 * T4c);
969 T4i = FNMS(KP587785252, T4b, KP951056516 * T4c);
970 ii[0] = T45 + T4a;
971 T4h = T4f - T4e;
972 ii[WS(rs, 8)] = T4h - T4i;
973 ii[WS(rs, 12)] = T4i + T4h;
974 T4g = T4e + T4f;
975 ii[WS(rs, 4)] = T4d + T4g;
976 ii[WS(rs, 16)] = T4g - T4d;
977 }
978 {
979 E T39, T37, T38, T2F, T3b, T2t, T2E, T3c, T3a;
980 T39 = KP559016994 * (T2V - T36);
981 T37 = T2V + T36;
982 T38 = FNMS(KP250000000, T37, T2K);
983 T2t = T2n - T2s;
984 T2E = T2y - T2D;
985 T2F = FNMS(KP587785252, T2E, KP951056516 * T2t);
986 T3b = FMA(KP951056516, T2E, KP587785252 * T2t);
987 ri[WS(rs, 15)] = T2K + T37;
988 T3c = T39 + T38;
989 ri[WS(rs, 11)] = T3b + T3c;
990 ri[WS(rs, 19)] = T3c - T3b;
991 T3a = T38 - T39;
992 ri[WS(rs, 3)] = T2F + T3a;
993 ri[WS(rs, 7)] = T3a - T2F;
994 }
995 {
996 E T4O, T4M, T4N, T4S, T4U, T4Q, T4R, T4T, T4P;
997 T4O = KP559016994 * (T4K - T4L);
998 T4M = T4K + T4L;
999 T4N = FNMS(KP250000000, T4M, T4J);
1000 T4Q = T30 - T35;
1001 T4R = T2P - T2U;
1002 T4S = FNMS(KP587785252, T4R, KP951056516 * T4Q);
1003 T4U = FMA(KP951056516, T4R, KP587785252 * T4Q);
1004 ii[WS(rs, 15)] = T4M + T4J;
1005 T4T = T4O + T4N;
1006 ii[WS(rs, 11)] = T4T - T4U;
1007 ii[WS(rs, 19)] = T4U + T4T;
1008 T4P = T4N - T4O;
1009 ii[WS(rs, 3)] = T4P - T4S;
1010 ii[WS(rs, 7)] = T4S + T4P;
1011 }
1012 {
1013 E T3q, T3s, T3t, T3j, T3v, T3f, T3i, T3w, T3u;
1014 T3q = KP559016994 * (T3m - T3p);
1015 T3s = T3m + T3p;
1016 T3t = FNMS(KP250000000, T3s, T3r);
1017 T3f = T3d - T3e;
1018 T3i = T3g - T3h;
1019 T3j = FMA(KP951056516, T3f, KP587785252 * T3i);
1020 T3v = FNMS(KP587785252, T3f, KP951056516 * T3i);
1021 ri[WS(rs, 5)] = T3r + T3s;
1022 T3w = T3t - T3q;
1023 ri[WS(rs, 13)] = T3v + T3w;
1024 ri[WS(rs, 17)] = T3w - T3v;
1025 T3u = T3q + T3t;
1026 ri[WS(rs, 1)] = T3j + T3u;
1027 ri[WS(rs, 9)] = T3u - T3j;
1028 }
1029 {
1030 E T4x, T4B, T4C, T4G, T4I, T4E, T4F, T4H, T4D;
1031 T4x = KP559016994 * (T4v - T4w);
1032 T4B = T4v + T4w;
1033 T4C = FNMS(KP250000000, T4B, T4A);
1034 T4E = T3k - T3l;
1035 T4F = T3n - T3o;
1036 T4G = FMA(KP951056516, T4E, KP587785252 * T4F);
1037 T4I = FNMS(KP587785252, T4E, KP951056516 * T4F);
1038 ii[WS(rs, 5)] = T4B + T4A;
1039 T4H = T4C - T4x;
1040 ii[WS(rs, 13)] = T4H - T4I;
1041 ii[WS(rs, 17)] = T4I + T4H;
1042 T4D = T4x + T4C;
1043 ii[WS(rs, 1)] = T4D - T4G;
1044 ii[WS(rs, 9)] = T4G + T4D;
1045 }
1046 }
1047 }
1048 }
1049 }
1050
1051 static const tw_instr twinstr[] = {
1052 {TW_CEXP, 0, 1},
1053 {TW_CEXP, 0, 3},
1054 {TW_CEXP, 0, 9},
1055 {TW_CEXP, 0, 19},
1056 {TW_NEXT, 1, 0}
1057 };
1058
1059 static const ct_desc desc = { 20, "t2_20", twinstr, &GENUS, {204, 92, 72, 0}, 0, 0, 0 };
1060
1061 void X(codelet_t2_20) (planner *p) {
1062 X(kdft_dit_register) (p, t2_20, &desc);
1063 }
1064 #endif /* HAVE_FMA */