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comparison src/fftw-3.3.8/dft/scalar/codelets/t2_16.c @ 167:bd3cc4d1df30

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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
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166:cbd6d7e562c7 167:bd3cc4d1df30
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 Thu May 24 08:04:19 EDT 2018 */
23
24 #include "dft/codelet-dft.h"
25
26 #if defined(ARCH_PREFERS_FMA) || defined(ISA_EXTENSION_PREFERS_FMA)
27
28 /* Generated by: ../../../genfft/gen_twiddle.native -fma -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 16 -name t2_16 -include dft/scalar/t.h */
29
30 /*
31 * This function contains 196 FP additions, 134 FP multiplications,
32 * (or, 104 additions, 42 multiplications, 92 fused multiply/add),
33 * 90 stack variables, 3 constants, and 64 memory accesses
34 */
35 #include "dft/scalar/t.h"
36
37 static void t2_16(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
38 {
39 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
40 DK(KP414213562, +0.414213562373095048801688724209698078569671875);
41 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
42 {
43 INT m;
44 for (m = mb, W = W + (mb * 8); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 8, MAKE_VOLATILE_STRIDE(32, rs)) {
45 E T2, Tf, TM, TO, T3, T6, T5, Th, Tz, Ti, T7, TZ, TT, Tq, TW;
46 E Tb, Tu, TP, TI, TF, TC, T1z, T1O, T1D, T1L, Tm, T1f, T1p, T1j, T1m;
47 {
48 E TN, TS, T4, Tp, Ta, Tt, Tl, Tg;
49 T2 = W[0];
50 Tf = W[2];
51 Tg = T2 * Tf;
52 TM = W[6];
53 TN = T2 * TM;
54 TO = W[7];
55 TS = T2 * TO;
56 T3 = W[4];
57 T4 = T2 * T3;
58 Tp = Tf * T3;
59 T6 = W[5];
60 Ta = T2 * T6;
61 Tt = Tf * T6;
62 T5 = W[1];
63 Th = W[3];
64 Tl = T2 * Th;
65 Tz = FMA(T5, Th, Tg);
66 Ti = FNMS(T5, Th, Tg);
67 T7 = FMA(T5, T6, T4);
68 TZ = FNMS(Th, T3, Tt);
69 TT = FNMS(T5, TM, TS);
70 Tq = FNMS(Th, T6, Tp);
71 TW = FMA(Th, T6, Tp);
72 Tb = FNMS(T5, T3, Ta);
73 Tu = FMA(Th, T3, Tt);
74 TP = FMA(T5, TO, TN);
75 TI = FMA(T5, T3, Ta);
76 TF = FNMS(T5, T6, T4);
77 {
78 E T1y, T1C, T1e, T1i;
79 T1y = Tz * T3;
80 T1C = Tz * T6;
81 TC = FNMS(T5, Tf, Tl);
82 T1z = FMA(TC, T6, T1y);
83 T1O = FMA(TC, T3, T1C);
84 T1D = FNMS(TC, T3, T1C);
85 T1L = FNMS(TC, T6, T1y);
86 T1e = Ti * T3;
87 T1i = Ti * T6;
88 Tm = FMA(T5, Tf, Tl);
89 T1f = FMA(Tm, T6, T1e);
90 T1p = FMA(Tm, T3, T1i);
91 T1j = FNMS(Tm, T3, T1i);
92 T1m = FNMS(Tm, T6, T1e);
93 }
94 }
95 {
96 E Te, T1U, T3A, T3L, T1G, T2D, T2A, T3h, T1R, T2B, T2I, T3i, Tx, T3M, T1Z;
97 E T3w, TL, T26, T25, T37, T1d, T2o, T2l, T3c, T1s, T2m, T2t, T3d, T12, T28;
98 E T2d, T38;
99 {
100 E T1, T3z, T8, T9, Tc, T3x, Td, T3y;
101 T1 = ri[0];
102 T3z = ii[0];
103 T8 = ri[WS(rs, 8)];
104 T9 = T7 * T8;
105 Tc = ii[WS(rs, 8)];
106 T3x = T7 * Tc;
107 Td = FMA(Tb, Tc, T9);
108 Te = T1 + Td;
109 T1U = T1 - Td;
110 T3y = FNMS(Tb, T8, T3x);
111 T3A = T3y + T3z;
112 T3L = T3z - T3y;
113 }
114 {
115 E T1u, T1v, T1w, T2w, T1A, T1B, T1E, T2y;
116 T1u = ri[WS(rs, 15)];
117 T1v = TM * T1u;
118 T1w = ii[WS(rs, 15)];
119 T2w = TM * T1w;
120 T1A = ri[WS(rs, 7)];
121 T1B = T1z * T1A;
122 T1E = ii[WS(rs, 7)];
123 T2y = T1z * T1E;
124 {
125 E T1x, T1F, T2x, T2z;
126 T1x = FMA(TO, T1w, T1v);
127 T1F = FMA(T1D, T1E, T1B);
128 T1G = T1x + T1F;
129 T2D = T1x - T1F;
130 T2x = FNMS(TO, T1u, T2w);
131 T2z = FNMS(T1D, T1A, T2y);
132 T2A = T2x - T2z;
133 T3h = T2x + T2z;
134 }
135 }
136 {
137 E T1H, T1I, T1J, T2E, T1M, T1N, T1P, T2G;
138 T1H = ri[WS(rs, 3)];
139 T1I = Tf * T1H;
140 T1J = ii[WS(rs, 3)];
141 T2E = Tf * T1J;
142 T1M = ri[WS(rs, 11)];
143 T1N = T1L * T1M;
144 T1P = ii[WS(rs, 11)];
145 T2G = T1L * T1P;
146 {
147 E T1K, T1Q, T2F, T2H;
148 T1K = FMA(Th, T1J, T1I);
149 T1Q = FMA(T1O, T1P, T1N);
150 T1R = T1K + T1Q;
151 T2B = T1K - T1Q;
152 T2F = FNMS(Th, T1H, T2E);
153 T2H = FNMS(T1O, T1M, T2G);
154 T2I = T2F - T2H;
155 T3i = T2F + T2H;
156 }
157 }
158 {
159 E Tj, Tk, Tn, T1V, Tr, Ts, Tv, T1X;
160 Tj = ri[WS(rs, 4)];
161 Tk = Ti * Tj;
162 Tn = ii[WS(rs, 4)];
163 T1V = Ti * Tn;
164 Tr = ri[WS(rs, 12)];
165 Ts = Tq * Tr;
166 Tv = ii[WS(rs, 12)];
167 T1X = Tq * Tv;
168 {
169 E To, Tw, T1W, T1Y;
170 To = FMA(Tm, Tn, Tk);
171 Tw = FMA(Tu, Tv, Ts);
172 Tx = To + Tw;
173 T3M = To - Tw;
174 T1W = FNMS(Tm, Tj, T1V);
175 T1Y = FNMS(Tu, Tr, T1X);
176 T1Z = T1W - T1Y;
177 T3w = T1W + T1Y;
178 }
179 }
180 {
181 E TA, TB, TD, T21, TG, TH, TJ, T23;
182 TA = ri[WS(rs, 2)];
183 TB = Tz * TA;
184 TD = ii[WS(rs, 2)];
185 T21 = Tz * TD;
186 TG = ri[WS(rs, 10)];
187 TH = TF * TG;
188 TJ = ii[WS(rs, 10)];
189 T23 = TF * TJ;
190 {
191 E TE, TK, T22, T24;
192 TE = FMA(TC, TD, TB);
193 TK = FMA(TI, TJ, TH);
194 TL = TE + TK;
195 T26 = TE - TK;
196 T22 = FNMS(TC, TA, T21);
197 T24 = FNMS(TI, TG, T23);
198 T25 = T22 - T24;
199 T37 = T22 + T24;
200 }
201 }
202 {
203 E T15, T16, T17, T2h, T19, T1a, T1b, T2j;
204 T15 = ri[WS(rs, 1)];
205 T16 = T2 * T15;
206 T17 = ii[WS(rs, 1)];
207 T2h = T2 * T17;
208 T19 = ri[WS(rs, 9)];
209 T1a = T3 * T19;
210 T1b = ii[WS(rs, 9)];
211 T2j = T3 * T1b;
212 {
213 E T18, T1c, T2i, T2k;
214 T18 = FMA(T5, T17, T16);
215 T1c = FMA(T6, T1b, T1a);
216 T1d = T18 + T1c;
217 T2o = T18 - T1c;
218 T2i = FNMS(T5, T15, T2h);
219 T2k = FNMS(T6, T19, T2j);
220 T2l = T2i - T2k;
221 T3c = T2i + T2k;
222 }
223 }
224 {
225 E T1g, T1h, T1k, T2p, T1n, T1o, T1q, T2r;
226 T1g = ri[WS(rs, 5)];
227 T1h = T1f * T1g;
228 T1k = ii[WS(rs, 5)];
229 T2p = T1f * T1k;
230 T1n = ri[WS(rs, 13)];
231 T1o = T1m * T1n;
232 T1q = ii[WS(rs, 13)];
233 T2r = T1m * T1q;
234 {
235 E T1l, T1r, T2q, T2s;
236 T1l = FMA(T1j, T1k, T1h);
237 T1r = FMA(T1p, T1q, T1o);
238 T1s = T1l + T1r;
239 T2m = T1l - T1r;
240 T2q = FNMS(T1j, T1g, T2p);
241 T2s = FNMS(T1p, T1n, T2r);
242 T2t = T2q - T2s;
243 T3d = T2q + T2s;
244 }
245 }
246 {
247 E TQ, TR, TU, T29, TX, TY, T10, T2b;
248 TQ = ri[WS(rs, 14)];
249 TR = TP * TQ;
250 TU = ii[WS(rs, 14)];
251 T29 = TP * TU;
252 TX = ri[WS(rs, 6)];
253 TY = TW * TX;
254 T10 = ii[WS(rs, 6)];
255 T2b = TW * T10;
256 {
257 E TV, T11, T2a, T2c;
258 TV = FMA(TT, TU, TR);
259 T11 = FMA(TZ, T10, TY);
260 T12 = TV + T11;
261 T28 = TV - T11;
262 T2a = FNMS(TT, TQ, T29);
263 T2c = FNMS(TZ, TX, T2b);
264 T2d = T2a - T2c;
265 T38 = T2a + T2c;
266 }
267 }
268 {
269 E T14, T3q, T3C, T3E, T1T, T3D, T3t, T3u;
270 {
271 E Ty, T13, T3v, T3B;
272 Ty = Te + Tx;
273 T13 = TL + T12;
274 T14 = Ty + T13;
275 T3q = Ty - T13;
276 T3v = T37 + T38;
277 T3B = T3w + T3A;
278 T3C = T3v + T3B;
279 T3E = T3B - T3v;
280 }
281 {
282 E T1t, T1S, T3r, T3s;
283 T1t = T1d + T1s;
284 T1S = T1G + T1R;
285 T1T = T1t + T1S;
286 T3D = T1S - T1t;
287 T3r = T3c + T3d;
288 T3s = T3h + T3i;
289 T3t = T3r - T3s;
290 T3u = T3r + T3s;
291 }
292 ri[WS(rs, 8)] = T14 - T1T;
293 ii[WS(rs, 8)] = T3C - T3u;
294 ri[0] = T14 + T1T;
295 ii[0] = T3u + T3C;
296 ri[WS(rs, 12)] = T3q - T3t;
297 ii[WS(rs, 12)] = T3E - T3D;
298 ri[WS(rs, 4)] = T3q + T3t;
299 ii[WS(rs, 4)] = T3D + T3E;
300 }
301 {
302 E T3a, T3m, T3H, T3J, T3f, T3n, T3k, T3o;
303 {
304 E T36, T39, T3F, T3G;
305 T36 = Te - Tx;
306 T39 = T37 - T38;
307 T3a = T36 + T39;
308 T3m = T36 - T39;
309 T3F = T12 - TL;
310 T3G = T3A - T3w;
311 T3H = T3F + T3G;
312 T3J = T3G - T3F;
313 }
314 {
315 E T3b, T3e, T3g, T3j;
316 T3b = T1d - T1s;
317 T3e = T3c - T3d;
318 T3f = T3b + T3e;
319 T3n = T3e - T3b;
320 T3g = T1G - T1R;
321 T3j = T3h - T3i;
322 T3k = T3g - T3j;
323 T3o = T3g + T3j;
324 }
325 {
326 E T3l, T3I, T3p, T3K;
327 T3l = T3f + T3k;
328 ri[WS(rs, 10)] = FNMS(KP707106781, T3l, T3a);
329 ri[WS(rs, 2)] = FMA(KP707106781, T3l, T3a);
330 T3I = T3n + T3o;
331 ii[WS(rs, 2)] = FMA(KP707106781, T3I, T3H);
332 ii[WS(rs, 10)] = FNMS(KP707106781, T3I, T3H);
333 T3p = T3n - T3o;
334 ri[WS(rs, 14)] = FNMS(KP707106781, T3p, T3m);
335 ri[WS(rs, 6)] = FMA(KP707106781, T3p, T3m);
336 T3K = T3k - T3f;
337 ii[WS(rs, 6)] = FMA(KP707106781, T3K, T3J);
338 ii[WS(rs, 14)] = FNMS(KP707106781, T3K, T3J);
339 }
340 }
341 {
342 E T20, T3N, T3T, T2Q, T2f, T3O, T30, T34, T2T, T3U, T2v, T2N, T2X, T33, T2K;
343 E T2O;
344 {
345 E T27, T2e, T2n, T2u;
346 T20 = T1U - T1Z;
347 T3N = T3L - T3M;
348 T3T = T3M + T3L;
349 T2Q = T1U + T1Z;
350 T27 = T25 - T26;
351 T2e = T28 + T2d;
352 T2f = T27 - T2e;
353 T3O = T27 + T2e;
354 {
355 E T2Y, T2Z, T2R, T2S;
356 T2Y = T2D + T2I;
357 T2Z = T2A - T2B;
358 T30 = FNMS(KP414213562, T2Z, T2Y);
359 T34 = FMA(KP414213562, T2Y, T2Z);
360 T2R = T26 + T25;
361 T2S = T28 - T2d;
362 T2T = T2R + T2S;
363 T3U = T2S - T2R;
364 }
365 T2n = T2l + T2m;
366 T2u = T2o - T2t;
367 T2v = FMA(KP414213562, T2u, T2n);
368 T2N = FNMS(KP414213562, T2n, T2u);
369 {
370 E T2V, T2W, T2C, T2J;
371 T2V = T2o + T2t;
372 T2W = T2l - T2m;
373 T2X = FMA(KP414213562, T2W, T2V);
374 T33 = FNMS(KP414213562, T2V, T2W);
375 T2C = T2A + T2B;
376 T2J = T2D - T2I;
377 T2K = FNMS(KP414213562, T2J, T2C);
378 T2O = FMA(KP414213562, T2C, T2J);
379 }
380 }
381 {
382 E T2g, T2L, T3V, T3W;
383 T2g = FMA(KP707106781, T2f, T20);
384 T2L = T2v - T2K;
385 ri[WS(rs, 11)] = FNMS(KP923879532, T2L, T2g);
386 ri[WS(rs, 3)] = FMA(KP923879532, T2L, T2g);
387 T3V = FMA(KP707106781, T3U, T3T);
388 T3W = T2O - T2N;
389 ii[WS(rs, 3)] = FMA(KP923879532, T3W, T3V);
390 ii[WS(rs, 11)] = FNMS(KP923879532, T3W, T3V);
391 }
392 {
393 E T2M, T2P, T3X, T3Y;
394 T2M = FNMS(KP707106781, T2f, T20);
395 T2P = T2N + T2O;
396 ri[WS(rs, 7)] = FNMS(KP923879532, T2P, T2M);
397 ri[WS(rs, 15)] = FMA(KP923879532, T2P, T2M);
398 T3X = FNMS(KP707106781, T3U, T3T);
399 T3Y = T2v + T2K;
400 ii[WS(rs, 7)] = FNMS(KP923879532, T3Y, T3X);
401 ii[WS(rs, 15)] = FMA(KP923879532, T3Y, T3X);
402 }
403 {
404 E T2U, T31, T3P, T3Q;
405 T2U = FMA(KP707106781, T2T, T2Q);
406 T31 = T2X + T30;
407 ri[WS(rs, 9)] = FNMS(KP923879532, T31, T2U);
408 ri[WS(rs, 1)] = FMA(KP923879532, T31, T2U);
409 T3P = FMA(KP707106781, T3O, T3N);
410 T3Q = T33 + T34;
411 ii[WS(rs, 1)] = FMA(KP923879532, T3Q, T3P);
412 ii[WS(rs, 9)] = FNMS(KP923879532, T3Q, T3P);
413 }
414 {
415 E T32, T35, T3R, T3S;
416 T32 = FNMS(KP707106781, T2T, T2Q);
417 T35 = T33 - T34;
418 ri[WS(rs, 13)] = FNMS(KP923879532, T35, T32);
419 ri[WS(rs, 5)] = FMA(KP923879532, T35, T32);
420 T3R = FNMS(KP707106781, T3O, T3N);
421 T3S = T30 - T2X;
422 ii[WS(rs, 5)] = FMA(KP923879532, T3S, T3R);
423 ii[WS(rs, 13)] = FNMS(KP923879532, T3S, T3R);
424 }
425 }
426 }
427 }
428 }
429 }
430
431 static const tw_instr twinstr[] = {
432 {TW_CEXP, 0, 1},
433 {TW_CEXP, 0, 3},
434 {TW_CEXP, 0, 9},
435 {TW_CEXP, 0, 15},
436 {TW_NEXT, 1, 0}
437 };
438
439 static const ct_desc desc = { 16, "t2_16", twinstr, &GENUS, {104, 42, 92, 0}, 0, 0, 0 };
440
441 void X(codelet_t2_16) (planner *p) {
442 X(kdft_dit_register) (p, t2_16, &desc);
443 }
444 #else
445
446 /* Generated by: ../../../genfft/gen_twiddle.native -compact -variables 4 -pipeline-latency 4 -twiddle-log3 -precompute-twiddles -n 16 -name t2_16 -include dft/scalar/t.h */
447
448 /*
449 * This function contains 196 FP additions, 108 FP multiplications,
450 * (or, 156 additions, 68 multiplications, 40 fused multiply/add),
451 * 82 stack variables, 3 constants, and 64 memory accesses
452 */
453 #include "dft/scalar/t.h"
454
455 static void t2_16(R *ri, R *ii, const R *W, stride rs, INT mb, INT me, INT ms)
456 {
457 DK(KP382683432, +0.382683432365089771728459984030398866761344562);
458 DK(KP923879532, +0.923879532511286756128183189396788286822416626);
459 DK(KP707106781, +0.707106781186547524400844362104849039284835938);
460 {
461 INT m;
462 for (m = mb, W = W + (mb * 8); m < me; m = m + 1, ri = ri + ms, ii = ii + ms, W = W + 8, MAKE_VOLATILE_STRIDE(32, rs)) {
463 E T2, T5, Tg, Ti, Tk, To, TE, TC, T6, T3, T8, TW, TJ, Tt, TU;
464 E Tc, Tx, TH, TN, TO, TP, TR, T1f, T1k, T1b, T1i, T1y, T1H, T1u, T1F;
465 {
466 E T7, Tv, Ta, Ts, T4, Tw, Tb, Tr;
467 {
468 E Th, Tn, Tj, Tm;
469 T2 = W[0];
470 T5 = W[1];
471 Tg = W[2];
472 Ti = W[3];
473 Th = T2 * Tg;
474 Tn = T5 * Tg;
475 Tj = T5 * Ti;
476 Tm = T2 * Ti;
477 Tk = Th - Tj;
478 To = Tm + Tn;
479 TE = Tm - Tn;
480 TC = Th + Tj;
481 T6 = W[5];
482 T7 = T5 * T6;
483 Tv = Tg * T6;
484 Ta = T2 * T6;
485 Ts = Ti * T6;
486 T3 = W[4];
487 T4 = T2 * T3;
488 Tw = Ti * T3;
489 Tb = T5 * T3;
490 Tr = Tg * T3;
491 }
492 T8 = T4 + T7;
493 TW = Tv - Tw;
494 TJ = Ta + Tb;
495 Tt = Tr - Ts;
496 TU = Tr + Ts;
497 Tc = Ta - Tb;
498 Tx = Tv + Tw;
499 TH = T4 - T7;
500 TN = W[6];
501 TO = W[7];
502 TP = FMA(T2, TN, T5 * TO);
503 TR = FNMS(T5, TN, T2 * TO);
504 {
505 E T1d, T1e, T19, T1a;
506 T1d = Tk * T6;
507 T1e = To * T3;
508 T1f = T1d - T1e;
509 T1k = T1d + T1e;
510 T19 = Tk * T3;
511 T1a = To * T6;
512 T1b = T19 + T1a;
513 T1i = T19 - T1a;
514 }
515 {
516 E T1w, T1x, T1s, T1t;
517 T1w = TC * T6;
518 T1x = TE * T3;
519 T1y = T1w - T1x;
520 T1H = T1w + T1x;
521 T1s = TC * T3;
522 T1t = TE * T6;
523 T1u = T1s + T1t;
524 T1F = T1s - T1t;
525 }
526 }
527 {
528 E Tf, T3r, T1N, T3e, TA, T3s, T1Q, T3b, TM, T2M, T1W, T2w, TZ, T2N, T21;
529 E T2x, T1B, T1K, T2V, T2W, T2X, T2Y, T2j, T2D, T2o, T2E, T18, T1n, T2Q, T2R;
530 E T2S, T2T, T28, T2A, T2d, T2B;
531 {
532 E T1, T3d, Te, T3c, T9, Td;
533 T1 = ri[0];
534 T3d = ii[0];
535 T9 = ri[WS(rs, 8)];
536 Td = ii[WS(rs, 8)];
537 Te = FMA(T8, T9, Tc * Td);
538 T3c = FNMS(Tc, T9, T8 * Td);
539 Tf = T1 + Te;
540 T3r = T3d - T3c;
541 T1N = T1 - Te;
542 T3e = T3c + T3d;
543 }
544 {
545 E Tq, T1O, Tz, T1P;
546 {
547 E Tl, Tp, Tu, Ty;
548 Tl = ri[WS(rs, 4)];
549 Tp = ii[WS(rs, 4)];
550 Tq = FMA(Tk, Tl, To * Tp);
551 T1O = FNMS(To, Tl, Tk * Tp);
552 Tu = ri[WS(rs, 12)];
553 Ty = ii[WS(rs, 12)];
554 Tz = FMA(Tt, Tu, Tx * Ty);
555 T1P = FNMS(Tx, Tu, Tt * Ty);
556 }
557 TA = Tq + Tz;
558 T3s = Tq - Tz;
559 T1Q = T1O - T1P;
560 T3b = T1O + T1P;
561 }
562 {
563 E TG, T1S, TL, T1T, T1U, T1V;
564 {
565 E TD, TF, TI, TK;
566 TD = ri[WS(rs, 2)];
567 TF = ii[WS(rs, 2)];
568 TG = FMA(TC, TD, TE * TF);
569 T1S = FNMS(TE, TD, TC * TF);
570 TI = ri[WS(rs, 10)];
571 TK = ii[WS(rs, 10)];
572 TL = FMA(TH, TI, TJ * TK);
573 T1T = FNMS(TJ, TI, TH * TK);
574 }
575 TM = TG + TL;
576 T2M = T1S + T1T;
577 T1U = T1S - T1T;
578 T1V = TG - TL;
579 T1W = T1U - T1V;
580 T2w = T1V + T1U;
581 }
582 {
583 E TT, T1Y, TY, T1Z, T1X, T20;
584 {
585 E TQ, TS, TV, TX;
586 TQ = ri[WS(rs, 14)];
587 TS = ii[WS(rs, 14)];
588 TT = FMA(TP, TQ, TR * TS);
589 T1Y = FNMS(TR, TQ, TP * TS);
590 TV = ri[WS(rs, 6)];
591 TX = ii[WS(rs, 6)];
592 TY = FMA(TU, TV, TW * TX);
593 T1Z = FNMS(TW, TV, TU * TX);
594 }
595 TZ = TT + TY;
596 T2N = T1Y + T1Z;
597 T1X = TT - TY;
598 T20 = T1Y - T1Z;
599 T21 = T1X + T20;
600 T2x = T1X - T20;
601 }
602 {
603 E T1r, T2k, T1J, T2h, T1A, T2l, T1E, T2g;
604 {
605 E T1p, T1q, T1G, T1I;
606 T1p = ri[WS(rs, 15)];
607 T1q = ii[WS(rs, 15)];
608 T1r = FMA(TN, T1p, TO * T1q);
609 T2k = FNMS(TO, T1p, TN * T1q);
610 T1G = ri[WS(rs, 11)];
611 T1I = ii[WS(rs, 11)];
612 T1J = FMA(T1F, T1G, T1H * T1I);
613 T2h = FNMS(T1H, T1G, T1F * T1I);
614 }
615 {
616 E T1v, T1z, T1C, T1D;
617 T1v = ri[WS(rs, 7)];
618 T1z = ii[WS(rs, 7)];
619 T1A = FMA(T1u, T1v, T1y * T1z);
620 T2l = FNMS(T1y, T1v, T1u * T1z);
621 T1C = ri[WS(rs, 3)];
622 T1D = ii[WS(rs, 3)];
623 T1E = FMA(Tg, T1C, Ti * T1D);
624 T2g = FNMS(Ti, T1C, Tg * T1D);
625 }
626 T1B = T1r + T1A;
627 T1K = T1E + T1J;
628 T2V = T1B - T1K;
629 T2W = T2k + T2l;
630 T2X = T2g + T2h;
631 T2Y = T2W - T2X;
632 {
633 E T2f, T2i, T2m, T2n;
634 T2f = T1r - T1A;
635 T2i = T2g - T2h;
636 T2j = T2f - T2i;
637 T2D = T2f + T2i;
638 T2m = T2k - T2l;
639 T2n = T1E - T1J;
640 T2o = T2m + T2n;
641 T2E = T2m - T2n;
642 }
643 }
644 {
645 E T14, T24, T1m, T2b, T17, T25, T1h, T2a;
646 {
647 E T12, T13, T1j, T1l;
648 T12 = ri[WS(rs, 1)];
649 T13 = ii[WS(rs, 1)];
650 T14 = FMA(T2, T12, T5 * T13);
651 T24 = FNMS(T5, T12, T2 * T13);
652 T1j = ri[WS(rs, 13)];
653 T1l = ii[WS(rs, 13)];
654 T1m = FMA(T1i, T1j, T1k * T1l);
655 T2b = FNMS(T1k, T1j, T1i * T1l);
656 }
657 {
658 E T15, T16, T1c, T1g;
659 T15 = ri[WS(rs, 9)];
660 T16 = ii[WS(rs, 9)];
661 T17 = FMA(T3, T15, T6 * T16);
662 T25 = FNMS(T6, T15, T3 * T16);
663 T1c = ri[WS(rs, 5)];
664 T1g = ii[WS(rs, 5)];
665 T1h = FMA(T1b, T1c, T1f * T1g);
666 T2a = FNMS(T1f, T1c, T1b * T1g);
667 }
668 T18 = T14 + T17;
669 T1n = T1h + T1m;
670 T2Q = T18 - T1n;
671 T2R = T24 + T25;
672 T2S = T2a + T2b;
673 T2T = T2R - T2S;
674 {
675 E T26, T27, T29, T2c;
676 T26 = T24 - T25;
677 T27 = T1h - T1m;
678 T28 = T26 + T27;
679 T2A = T26 - T27;
680 T29 = T14 - T17;
681 T2c = T2a - T2b;
682 T2d = T29 - T2c;
683 T2B = T29 + T2c;
684 }
685 }
686 {
687 E T23, T2r, T3A, T3C, T2q, T3B, T2u, T3x;
688 {
689 E T1R, T22, T3y, T3z;
690 T1R = T1N - T1Q;
691 T22 = KP707106781 * (T1W - T21);
692 T23 = T1R + T22;
693 T2r = T1R - T22;
694 T3y = KP707106781 * (T2x - T2w);
695 T3z = T3s + T3r;
696 T3A = T3y + T3z;
697 T3C = T3z - T3y;
698 }
699 {
700 E T2e, T2p, T2s, T2t;
701 T2e = FMA(KP923879532, T28, KP382683432 * T2d);
702 T2p = FNMS(KP923879532, T2o, KP382683432 * T2j);
703 T2q = T2e + T2p;
704 T3B = T2p - T2e;
705 T2s = FNMS(KP923879532, T2d, KP382683432 * T28);
706 T2t = FMA(KP382683432, T2o, KP923879532 * T2j);
707 T2u = T2s - T2t;
708 T3x = T2s + T2t;
709 }
710 ri[WS(rs, 11)] = T23 - T2q;
711 ii[WS(rs, 11)] = T3A - T3x;
712 ri[WS(rs, 3)] = T23 + T2q;
713 ii[WS(rs, 3)] = T3x + T3A;
714 ri[WS(rs, 15)] = T2r - T2u;
715 ii[WS(rs, 15)] = T3C - T3B;
716 ri[WS(rs, 7)] = T2r + T2u;
717 ii[WS(rs, 7)] = T3B + T3C;
718 }
719 {
720 E T2P, T31, T3m, T3o, T30, T3n, T34, T3j;
721 {
722 E T2L, T2O, T3k, T3l;
723 T2L = Tf - TA;
724 T2O = T2M - T2N;
725 T2P = T2L + T2O;
726 T31 = T2L - T2O;
727 T3k = TZ - TM;
728 T3l = T3e - T3b;
729 T3m = T3k + T3l;
730 T3o = T3l - T3k;
731 }
732 {
733 E T2U, T2Z, T32, T33;
734 T2U = T2Q + T2T;
735 T2Z = T2V - T2Y;
736 T30 = KP707106781 * (T2U + T2Z);
737 T3n = KP707106781 * (T2Z - T2U);
738 T32 = T2T - T2Q;
739 T33 = T2V + T2Y;
740 T34 = KP707106781 * (T32 - T33);
741 T3j = KP707106781 * (T32 + T33);
742 }
743 ri[WS(rs, 10)] = T2P - T30;
744 ii[WS(rs, 10)] = T3m - T3j;
745 ri[WS(rs, 2)] = T2P + T30;
746 ii[WS(rs, 2)] = T3j + T3m;
747 ri[WS(rs, 14)] = T31 - T34;
748 ii[WS(rs, 14)] = T3o - T3n;
749 ri[WS(rs, 6)] = T31 + T34;
750 ii[WS(rs, 6)] = T3n + T3o;
751 }
752 {
753 E T2z, T2H, T3u, T3w, T2G, T3v, T2K, T3p;
754 {
755 E T2v, T2y, T3q, T3t;
756 T2v = T1N + T1Q;
757 T2y = KP707106781 * (T2w + T2x);
758 T2z = T2v + T2y;
759 T2H = T2v - T2y;
760 T3q = KP707106781 * (T1W + T21);
761 T3t = T3r - T3s;
762 T3u = T3q + T3t;
763 T3w = T3t - T3q;
764 }
765 {
766 E T2C, T2F, T2I, T2J;
767 T2C = FMA(KP382683432, T2A, KP923879532 * T2B);
768 T2F = FNMS(KP382683432, T2E, KP923879532 * T2D);
769 T2G = T2C + T2F;
770 T3v = T2F - T2C;
771 T2I = FNMS(KP382683432, T2B, KP923879532 * T2A);
772 T2J = FMA(KP923879532, T2E, KP382683432 * T2D);
773 T2K = T2I - T2J;
774 T3p = T2I + T2J;
775 }
776 ri[WS(rs, 9)] = T2z - T2G;
777 ii[WS(rs, 9)] = T3u - T3p;
778 ri[WS(rs, 1)] = T2z + T2G;
779 ii[WS(rs, 1)] = T3p + T3u;
780 ri[WS(rs, 13)] = T2H - T2K;
781 ii[WS(rs, 13)] = T3w - T3v;
782 ri[WS(rs, 5)] = T2H + T2K;
783 ii[WS(rs, 5)] = T3v + T3w;
784 }
785 {
786 E T11, T35, T3g, T3i, T1M, T3h, T38, T39;
787 {
788 E TB, T10, T3a, T3f;
789 TB = Tf + TA;
790 T10 = TM + TZ;
791 T11 = TB + T10;
792 T35 = TB - T10;
793 T3a = T2M + T2N;
794 T3f = T3b + T3e;
795 T3g = T3a + T3f;
796 T3i = T3f - T3a;
797 }
798 {
799 E T1o, T1L, T36, T37;
800 T1o = T18 + T1n;
801 T1L = T1B + T1K;
802 T1M = T1o + T1L;
803 T3h = T1L - T1o;
804 T36 = T2R + T2S;
805 T37 = T2W + T2X;
806 T38 = T36 - T37;
807 T39 = T36 + T37;
808 }
809 ri[WS(rs, 8)] = T11 - T1M;
810 ii[WS(rs, 8)] = T3g - T39;
811 ri[0] = T11 + T1M;
812 ii[0] = T39 + T3g;
813 ri[WS(rs, 12)] = T35 - T38;
814 ii[WS(rs, 12)] = T3i - T3h;
815 ri[WS(rs, 4)] = T35 + T38;
816 ii[WS(rs, 4)] = T3h + T3i;
817 }
818 }
819 }
820 }
821 }
822
823 static const tw_instr twinstr[] = {
824 {TW_CEXP, 0, 1},
825 {TW_CEXP, 0, 3},
826 {TW_CEXP, 0, 9},
827 {TW_CEXP, 0, 15},
828 {TW_NEXT, 1, 0}
829 };
830
831 static const ct_desc desc = { 16, "t2_16", twinstr, &GENUS, {156, 68, 40, 0}, 0, 0, 0 };
832
833 void X(codelet_t2_16) (planner *p) {
834 X(kdft_dit_register) (p, t2_16, &desc);
835 }
836 #endif