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comparison src/fftw-3.3.3/rdft/scalar/r2cf/hc2cfdft_8.c @ 10:37bf6b4a2645
Add FFTW3
author | Chris Cannam |
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date | Wed, 20 Mar 2013 15:35:50 +0000 |
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9:c0fb53affa76 | 10:37bf6b4a2645 |
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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 07:40:44 EST 2012 */ | |
23 | |
24 #include "codelet-rdft.h" | |
25 | |
26 #ifdef HAVE_FMA | |
27 | |
28 /* Generated by: ../../../genfft/gen_hc2cdft.native -fma -reorder-insns -schedule-for-pipeline -compact -variables 4 -pipeline-latency 4 -n 8 -dit -name hc2cfdft_8 -include hc2cf.h */ | |
29 | |
30 /* | |
31 * This function contains 82 FP additions, 52 FP multiplications, | |
32 * (or, 60 additions, 30 multiplications, 22 fused multiply/add), | |
33 * 55 stack variables, 2 constants, and 32 memory accesses | |
34 */ | |
35 #include "hc2cf.h" | |
36 | |
37 static void hc2cfdft_8(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms) | |
38 { | |
39 DK(KP707106781, +0.707106781186547524400844362104849039284835938); | |
40 DK(KP500000000, +0.500000000000000000000000000000000000000000000); | |
41 { | |
42 INT m; | |
43 for (m = mb, W = W + ((mb - 1) * 14); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 14, MAKE_VOLATILE_STRIDE(32, rs)) { | |
44 E T1A, T1w, T1z, T1x, T1H, T1v, T1L, T1F; | |
45 { | |
46 E Ty, T14, TO, T1o, Tv, TG, T16, T1m, Ta, T19, T1h, TV, T10, TX, TZ; | |
47 E Tk, T1i, TY, T1b, TF, TB, T1l; | |
48 { | |
49 E TH, TN, TK, TM; | |
50 { | |
51 E Tw, Tx, TI, TJ; | |
52 Tw = Ip[0]; | |
53 Tx = Im[0]; | |
54 TI = Rm[0]; | |
55 TJ = Rp[0]; | |
56 TH = W[0]; | |
57 Ty = Tw - Tx; | |
58 TN = Tw + Tx; | |
59 T14 = TJ + TI; | |
60 TK = TI - TJ; | |
61 TM = W[1]; | |
62 } | |
63 { | |
64 E Ts, Tp, Tt, Tm, Tr; | |
65 { | |
66 E Tn, To, TL, T1n; | |
67 Tn = Ip[WS(rs, 2)]; | |
68 To = Im[WS(rs, 2)]; | |
69 TL = TH * TK; | |
70 T1n = TM * TK; | |
71 Ts = Rp[WS(rs, 2)]; | |
72 TF = Tn + To; | |
73 Tp = Tn - To; | |
74 TO = FNMS(TM, TN, TL); | |
75 T1o = FMA(TH, TN, T1n); | |
76 Tt = Rm[WS(rs, 2)]; | |
77 } | |
78 Tm = W[6]; | |
79 Tr = W[7]; | |
80 { | |
81 E TE, TD, T15, TC, Tu, Tq; | |
82 TB = W[8]; | |
83 TC = Tt - Ts; | |
84 Tu = Ts + Tt; | |
85 Tq = Tm * Tp; | |
86 TE = W[9]; | |
87 TD = TB * TC; | |
88 T15 = Tm * Tu; | |
89 Tv = FNMS(Tr, Tu, Tq); | |
90 T1l = TE * TC; | |
91 TG = FNMS(TE, TF, TD); | |
92 T16 = FMA(Tr, Tp, T15); | |
93 } | |
94 } | |
95 } | |
96 { | |
97 E TU, TR, TT, T1g, TS; | |
98 { | |
99 E T2, T3, T7, T8; | |
100 T2 = Ip[WS(rs, 1)]; | |
101 T1m = FMA(TB, TF, T1l); | |
102 T3 = Im[WS(rs, 1)]; | |
103 T7 = Rp[WS(rs, 1)]; | |
104 T8 = Rm[WS(rs, 1)]; | |
105 { | |
106 E T1, T4, T9, T6, T5, TQ, T18; | |
107 T1 = W[2]; | |
108 TU = T2 + T3; | |
109 T4 = T2 - T3; | |
110 TR = T7 - T8; | |
111 T9 = T7 + T8; | |
112 T6 = W[3]; | |
113 T5 = T1 * T4; | |
114 TQ = W[4]; | |
115 T18 = T1 * T9; | |
116 TT = W[5]; | |
117 Ta = FNMS(T6, T9, T5); | |
118 T1g = TQ * TU; | |
119 TS = TQ * TR; | |
120 T19 = FMA(T6, T4, T18); | |
121 } | |
122 } | |
123 { | |
124 E Tc, Td, Th, Ti; | |
125 Tc = Ip[WS(rs, 3)]; | |
126 T1h = FNMS(TT, TR, T1g); | |
127 TV = FMA(TT, TU, TS); | |
128 Td = Im[WS(rs, 3)]; | |
129 Th = Rp[WS(rs, 3)]; | |
130 Ti = Rm[WS(rs, 3)]; | |
131 { | |
132 E Tb, Te, Tj, Tg, Tf, TW, T1a; | |
133 Tb = W[10]; | |
134 T10 = Tc + Td; | |
135 Te = Tc - Td; | |
136 TX = Th - Ti; | |
137 Tj = Th + Ti; | |
138 Tg = W[11]; | |
139 Tf = Tb * Te; | |
140 TW = W[12]; | |
141 T1a = Tb * Tj; | |
142 TZ = W[13]; | |
143 Tk = FNMS(Tg, Tj, Tf); | |
144 T1i = TW * T10; | |
145 TY = TW * TX; | |
146 T1b = FMA(Tg, Te, T1a); | |
147 } | |
148 } | |
149 } | |
150 { | |
151 E T1E, T1t, TA, T1s, T1D, T1u, T1e, T13, T1r, T1d; | |
152 { | |
153 E TP, T1f, T1q, T12, T17, T1c; | |
154 { | |
155 E Tl, T11, Tz, T1p, T1k, T1j; | |
156 T1E = Ta - Tk; | |
157 Tl = Ta + Tk; | |
158 T1j = FNMS(TZ, TX, T1i); | |
159 T11 = FMA(TZ, T10, TY); | |
160 Tz = Tv + Ty; | |
161 T1t = Ty - Tv; | |
162 T1A = T1o - T1m; | |
163 T1p = T1m + T1o; | |
164 T1k = T1h + T1j; | |
165 T1w = T1j - T1h; | |
166 T1z = TO - TG; | |
167 TP = TG + TO; | |
168 T1f = Tz - Tl; | |
169 TA = Tl + Tz; | |
170 T1s = T1k + T1p; | |
171 T1q = T1k - T1p; | |
172 T12 = TV + T11; | |
173 T1x = TV - T11; | |
174 T1D = T14 - T16; | |
175 T17 = T14 + T16; | |
176 T1c = T19 + T1b; | |
177 T1u = T19 - T1b; | |
178 } | |
179 Im[WS(rs, 1)] = KP500000000 * (T1q - T1f); | |
180 T1e = T12 + TP; | |
181 T13 = TP - T12; | |
182 T1r = T17 + T1c; | |
183 T1d = T17 - T1c; | |
184 Ip[WS(rs, 2)] = KP500000000 * (T1f + T1q); | |
185 } | |
186 Im[WS(rs, 3)] = KP500000000 * (T13 - TA); | |
187 Ip[0] = KP500000000 * (TA + T13); | |
188 Rm[WS(rs, 3)] = KP500000000 * (T1r - T1s); | |
189 Rp[0] = KP500000000 * (T1r + T1s); | |
190 Rp[WS(rs, 2)] = KP500000000 * (T1d + T1e); | |
191 Rm[WS(rs, 1)] = KP500000000 * (T1d - T1e); | |
192 T1H = T1u + T1t; | |
193 T1v = T1t - T1u; | |
194 T1L = T1D + T1E; | |
195 T1F = T1D - T1E; | |
196 } | |
197 } | |
198 { | |
199 E T1y, T1I, T1B, T1J; | |
200 T1y = T1w + T1x; | |
201 T1I = T1w - T1x; | |
202 T1B = T1z - T1A; | |
203 T1J = T1z + T1A; | |
204 { | |
205 E T1M, T1K, T1C, T1G; | |
206 T1M = T1I + T1J; | |
207 T1K = T1I - T1J; | |
208 T1C = T1y + T1B; | |
209 T1G = T1B - T1y; | |
210 Im[0] = -(KP500000000 * (FNMS(KP707106781, T1K, T1H))); | |
211 Ip[WS(rs, 3)] = KP500000000 * (FMA(KP707106781, T1K, T1H)); | |
212 Rp[WS(rs, 1)] = KP500000000 * (FMA(KP707106781, T1M, T1L)); | |
213 Rm[WS(rs, 2)] = KP500000000 * (FNMS(KP707106781, T1M, T1L)); | |
214 Rp[WS(rs, 3)] = KP500000000 * (FMA(KP707106781, T1G, T1F)); | |
215 Rm[0] = KP500000000 * (FNMS(KP707106781, T1G, T1F)); | |
216 Im[WS(rs, 2)] = -(KP500000000 * (FNMS(KP707106781, T1C, T1v))); | |
217 Ip[WS(rs, 1)] = KP500000000 * (FMA(KP707106781, T1C, T1v)); | |
218 } | |
219 } | |
220 } | |
221 } | |
222 } | |
223 | |
224 static const tw_instr twinstr[] = { | |
225 {TW_FULL, 1, 8}, | |
226 {TW_NEXT, 1, 0} | |
227 }; | |
228 | |
229 static const hc2c_desc desc = { 8, "hc2cfdft_8", twinstr, &GENUS, {60, 30, 22, 0} }; | |
230 | |
231 void X(codelet_hc2cfdft_8) (planner *p) { | |
232 X(khc2c_register) (p, hc2cfdft_8, &desc, HC2C_VIA_DFT); | |
233 } | |
234 #else /* HAVE_FMA */ | |
235 | |
236 /* Generated by: ../../../genfft/gen_hc2cdft.native -compact -variables 4 -pipeline-latency 4 -n 8 -dit -name hc2cfdft_8 -include hc2cf.h */ | |
237 | |
238 /* | |
239 * This function contains 82 FP additions, 44 FP multiplications, | |
240 * (or, 68 additions, 30 multiplications, 14 fused multiply/add), | |
241 * 39 stack variables, 2 constants, and 32 memory accesses | |
242 */ | |
243 #include "hc2cf.h" | |
244 | |
245 static void hc2cfdft_8(R *Rp, R *Ip, R *Rm, R *Im, const R *W, stride rs, INT mb, INT me, INT ms) | |
246 { | |
247 DK(KP353553390, +0.353553390593273762200422181052424519642417969); | |
248 DK(KP500000000, +0.500000000000000000000000000000000000000000000); | |
249 { | |
250 INT m; | |
251 for (m = mb, W = W + ((mb - 1) * 14); m < me; m = m + 1, Rp = Rp + ms, Ip = Ip + ms, Rm = Rm - ms, Im = Im - ms, W = W + 14, MAKE_VOLATILE_STRIDE(32, rs)) { | |
252 E Tv, TX, Ts, TY, TE, T1a, TJ, T19, T1l, T1m, T9, T10, Ti, T11, TP; | |
253 E T16, TU, T17, T1i, T1j; | |
254 { | |
255 E Tt, Tu, TD, Tz, TA, TB, Tn, TI, Tr, TG, Tk, To; | |
256 Tt = Ip[0]; | |
257 Tu = Im[0]; | |
258 TD = Tt + Tu; | |
259 Tz = Rm[0]; | |
260 TA = Rp[0]; | |
261 TB = Tz - TA; | |
262 { | |
263 E Tl, Tm, Tp, Tq; | |
264 Tl = Ip[WS(rs, 2)]; | |
265 Tm = Im[WS(rs, 2)]; | |
266 Tn = Tl - Tm; | |
267 TI = Tl + Tm; | |
268 Tp = Rp[WS(rs, 2)]; | |
269 Tq = Rm[WS(rs, 2)]; | |
270 Tr = Tp + Tq; | |
271 TG = Tp - Tq; | |
272 } | |
273 Tv = Tt - Tu; | |
274 TX = TA + Tz; | |
275 Tk = W[6]; | |
276 To = W[7]; | |
277 Ts = FNMS(To, Tr, Tk * Tn); | |
278 TY = FMA(Tk, Tr, To * Tn); | |
279 { | |
280 E Ty, TC, TF, TH; | |
281 Ty = W[0]; | |
282 TC = W[1]; | |
283 TE = FNMS(TC, TD, Ty * TB); | |
284 T1a = FMA(TC, TB, Ty * TD); | |
285 TF = W[8]; | |
286 TH = W[9]; | |
287 TJ = FMA(TF, TG, TH * TI); | |
288 T19 = FNMS(TH, TG, TF * TI); | |
289 } | |
290 T1l = TJ + TE; | |
291 T1m = T1a - T19; | |
292 } | |
293 { | |
294 E T4, TO, T8, TM, Td, TT, Th, TR; | |
295 { | |
296 E T2, T3, T6, T7; | |
297 T2 = Ip[WS(rs, 1)]; | |
298 T3 = Im[WS(rs, 1)]; | |
299 T4 = T2 - T3; | |
300 TO = T2 + T3; | |
301 T6 = Rp[WS(rs, 1)]; | |
302 T7 = Rm[WS(rs, 1)]; | |
303 T8 = T6 + T7; | |
304 TM = T6 - T7; | |
305 } | |
306 { | |
307 E Tb, Tc, Tf, Tg; | |
308 Tb = Ip[WS(rs, 3)]; | |
309 Tc = Im[WS(rs, 3)]; | |
310 Td = Tb - Tc; | |
311 TT = Tb + Tc; | |
312 Tf = Rp[WS(rs, 3)]; | |
313 Tg = Rm[WS(rs, 3)]; | |
314 Th = Tf + Tg; | |
315 TR = Tf - Tg; | |
316 } | |
317 { | |
318 E T1, T5, Ta, Te; | |
319 T1 = W[2]; | |
320 T5 = W[3]; | |
321 T9 = FNMS(T5, T8, T1 * T4); | |
322 T10 = FMA(T1, T8, T5 * T4); | |
323 Ta = W[10]; | |
324 Te = W[11]; | |
325 Ti = FNMS(Te, Th, Ta * Td); | |
326 T11 = FMA(Ta, Th, Te * Td); | |
327 { | |
328 E TL, TN, TQ, TS; | |
329 TL = W[4]; | |
330 TN = W[5]; | |
331 TP = FMA(TL, TM, TN * TO); | |
332 T16 = FNMS(TN, TM, TL * TO); | |
333 TQ = W[12]; | |
334 TS = W[13]; | |
335 TU = FMA(TQ, TR, TS * TT); | |
336 T17 = FNMS(TS, TR, TQ * TT); | |
337 } | |
338 T1i = T17 - T16; | |
339 T1j = TP - TU; | |
340 } | |
341 } | |
342 { | |
343 E T1h, T1t, T1w, T1y, T1o, T1s, T1r, T1x; | |
344 { | |
345 E T1f, T1g, T1u, T1v; | |
346 T1f = Tv - Ts; | |
347 T1g = T10 - T11; | |
348 T1h = KP500000000 * (T1f - T1g); | |
349 T1t = KP500000000 * (T1g + T1f); | |
350 T1u = T1i - T1j; | |
351 T1v = T1l + T1m; | |
352 T1w = KP353553390 * (T1u - T1v); | |
353 T1y = KP353553390 * (T1u + T1v); | |
354 } | |
355 { | |
356 E T1k, T1n, T1p, T1q; | |
357 T1k = T1i + T1j; | |
358 T1n = T1l - T1m; | |
359 T1o = KP353553390 * (T1k + T1n); | |
360 T1s = KP353553390 * (T1n - T1k); | |
361 T1p = TX - TY; | |
362 T1q = T9 - Ti; | |
363 T1r = KP500000000 * (T1p - T1q); | |
364 T1x = KP500000000 * (T1p + T1q); | |
365 } | |
366 Ip[WS(rs, 1)] = T1h + T1o; | |
367 Rp[WS(rs, 1)] = T1x + T1y; | |
368 Im[WS(rs, 2)] = T1o - T1h; | |
369 Rm[WS(rs, 2)] = T1x - T1y; | |
370 Rm[0] = T1r - T1s; | |
371 Im[0] = T1w - T1t; | |
372 Rp[WS(rs, 3)] = T1r + T1s; | |
373 Ip[WS(rs, 3)] = T1t + T1w; | |
374 } | |
375 { | |
376 E Tx, T15, T1c, T1e, TW, T14, T13, T1d; | |
377 { | |
378 E Tj, Tw, T18, T1b; | |
379 Tj = T9 + Ti; | |
380 Tw = Ts + Tv; | |
381 Tx = Tj + Tw; | |
382 T15 = Tw - Tj; | |
383 T18 = T16 + T17; | |
384 T1b = T19 + T1a; | |
385 T1c = T18 - T1b; | |
386 T1e = T18 + T1b; | |
387 } | |
388 { | |
389 E TK, TV, TZ, T12; | |
390 TK = TE - TJ; | |
391 TV = TP + TU; | |
392 TW = TK - TV; | |
393 T14 = TV + TK; | |
394 TZ = TX + TY; | |
395 T12 = T10 + T11; | |
396 T13 = TZ - T12; | |
397 T1d = TZ + T12; | |
398 } | |
399 Ip[0] = KP500000000 * (Tx + TW); | |
400 Rp[0] = KP500000000 * (T1d + T1e); | |
401 Im[WS(rs, 3)] = KP500000000 * (TW - Tx); | |
402 Rm[WS(rs, 3)] = KP500000000 * (T1d - T1e); | |
403 Rm[WS(rs, 1)] = KP500000000 * (T13 - T14); | |
404 Im[WS(rs, 1)] = KP500000000 * (T1c - T15); | |
405 Rp[WS(rs, 2)] = KP500000000 * (T13 + T14); | |
406 Ip[WS(rs, 2)] = KP500000000 * (T15 + T1c); | |
407 } | |
408 } | |
409 } | |
410 } | |
411 | |
412 static const tw_instr twinstr[] = { | |
413 {TW_FULL, 1, 8}, | |
414 {TW_NEXT, 1, 0} | |
415 }; | |
416 | |
417 static const hc2c_desc desc = { 8, "hc2cfdft_8", twinstr, &GENUS, {68, 30, 14, 0} }; | |
418 | |
419 void X(codelet_hc2cfdft_8) (planner *p) { | |
420 X(khc2c_register) (p, hc2cfdft_8, &desc, HC2C_VIA_DFT); | |
421 } | |
422 #endif /* HAVE_FMA */ |