-
Notifications
You must be signed in to change notification settings - Fork 0
/
pffft.c
1866 lines (1674 loc) · 62.1 KB
/
pffft.c
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
/* Copyright (c) 2013 Julien Pommier ( pommier@modartt.com )
Copyright (c) 2020 Hayati Ayguen ( h_ayguen@web.de )
Based on original fortran 77 code from FFTPACKv4 from NETLIB
(http://www.netlib.org/fftpack), authored by Dr Paul Swarztrauber
of NCAR, in 1985.
As confirmed by the NCAR fftpack software curators, the following
FFTPACKv5 license applies to FFTPACKv4 sources. My changes are
released under the same terms.
FFTPACK license:
http://www.cisl.ucar.edu/css/software/fftpack5/ftpk.html
Copyright (c) 2004 the University Corporation for Atmospheric
Research ("UCAR"). All rights reserved. Developed by NCAR's
Computational and Information Systems Laboratory, UCAR,
www.cisl.ucar.edu.
Redistribution and use of the Software in source and binary forms,
with or without modification, is permitted provided that the
following conditions are met:
- Neither the names of NCAR's Computational and Information Systems
Laboratory, the University Corporation for Atmospheric Research,
nor the names of its sponsors or contributors may be used to
endorse or promote products derived from this Software without
specific prior written permission.
- Redistributions of source code must retain the above copyright
notices, this list of conditions, and the disclaimer below.
- Redistributions in binary form must reproduce the above copyright
notice, this list of conditions, and the disclaimer below in the
documentation and/or other materials provided with the
distribution.
THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
EXPRESS OR IMPLIED, INCLUDING, BUT NOT LIMITED TO THE WARRANTIES OF
MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
NONINFRINGEMENT. IN NO EVENT SHALL THE CONTRIBUTORS OR COPYRIGHT
HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL,
EXEMPLARY, OR CONSEQUENTIAL DAMAGES OR OTHER LIABILITY, WHETHER IN AN
ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
SOFTWARE.
PFFFT : a Pretty Fast FFT.
This file is largerly based on the original FFTPACK implementation, modified in
order to take advantage of SIMD instructions of modern CPUs.
*/
/*
ChangeLog:
- 2011/10/02, version 1: This is the very first release of this file.
*/
#include "pffft.h"
/* detect compiler flavour */
#if defined(_MSC_VER)
# define COMPILER_MSVC
#elif defined(__GNUC__)
# define COMPILER_GCC
#endif
#include <stdlib.h>
#include <stdint.h>
#include <stdio.h>
#include <math.h>
#include <assert.h>
#ifndef M_PI
#define M_PI (3.14159265358979323846)
#endif
#ifndef M_SQRT2
#define M_SQRT2 (1.41421356237309504880)
#endif
#if defined(COMPILER_GCC)
# define ALWAYS_INLINE(return_type) inline return_type __attribute__ ((always_inline))
# define NEVER_INLINE(return_type) return_type __attribute__ ((noinline))
# define RESTRICT __restrict
# define VLA_ARRAY_ON_STACK(type__, varname__, size__) type__ varname__[size__];
#elif defined(COMPILER_MSVC)
# define ALWAYS_INLINE(return_type) __forceinline return_type
# define NEVER_INLINE(return_type) __declspec(noinline) return_type
# define RESTRICT __restrict
# define VLA_ARRAY_ON_STACK(type__, varname__, size__) type__ *varname__ = (type__*)_alloca(size__ * sizeof(type__))
#endif
#ifdef COMPILER_MSVC
#pragma warning( disable : 4244 4305 4204 4456 )
#endif
/*
vector support macros: the rest of the code is independant of
SSE/Altivec/NEON -- adding support for other platforms with 4-element
vectors should be limited to these macros
*/
// define PFFFT_SIMD_DISABLE if you want to use scalar code instead of simd code
//#define PFFFT_SIMD_DISABLE
#ifdef PFFFT_FLOAT
#define float PFFFT_FLOAT
#endif
#include "pfsimd_macros.h"
/* detect bugs with the vector support macros */
void validate_pffft_simd(void); // silence warning
void validate_pffft_simd(void) {
#ifndef PFFFT_SIMD_DISABLE
Vvalidate_simd();
#endif
}
/* SSE and co like 16-bytes aligned pointers */
#define MALLOC_V4SF_ALIGNMENT 64 // with a 64-byte alignment, we are even aligned on L2 cache lines...
void *pffft_aligned_malloc(size_t nb_bytes) {
return Valigned_malloc(nb_bytes);
}
void pffft_aligned_free(void *p) {
Valigned_free(p);
}
int pffft_simd_size(void) { return SIMD_SZ; }
/*
passf2 and passb2 has been merged here, fsign = -1 for passf2, +1 for passb2
*/
static NEVER_INLINE(void) passf2_ps(int ido, int l1, const v4sf *cc, v4sf *ch, const float *wa1, float fsign) {
int k, i;
int l1ido = l1*ido;
if (ido <= 2) {
for (k=0; k < l1ido; k += ido, ch += ido, cc+= 2*ido) {
ch[0] = VADD(cc[0], cc[ido+0]);
ch[l1ido] = VSUB(cc[0], cc[ido+0]);
ch[1] = VADD(cc[1], cc[ido+1]);
ch[l1ido + 1] = VSUB(cc[1], cc[ido+1]);
}
} else {
for (k=0; k < l1ido; k += ido, ch += ido, cc += 2*ido) {
for (i=0; i<ido-1; i+=2) {
v4sf tr2 = VSUB(cc[i+0], cc[i+ido+0]);
v4sf ti2 = VSUB(cc[i+1], cc[i+ido+1]);
v4sf wr = LD_PS1(wa1[i]), wi = VMUL(LD_PS1(fsign), LD_PS1(wa1[i+1]));
ch[i] = VADD(cc[i+0], cc[i+ido+0]);
ch[i+1] = VADD(cc[i+1], cc[i+ido+1]);
VCPLXMUL(tr2, ti2, wr, wi);
ch[i+l1ido] = tr2;
ch[i+l1ido+1] = ti2;
}
}
}
}
/*
passf3 and passb3 has been merged here, fsign = -1 for passf3, +1 for passb3
*/
static NEVER_INLINE(void) passf3_ps(int ido, int l1, const v4sf *cc, v4sf *ch,
const float *wa1, const float *wa2, float fsign) {
static const float taur = -0.5f;
float taui = 0.866025403784439f*fsign;
int i, k;
v4sf tr2, ti2, cr2, ci2, cr3, ci3, dr2, di2, dr3, di3;
int l1ido = l1*ido;
float wr1, wi1, wr2, wi2;
assert(ido > 2);
for (k=0; k< l1ido; k += ido, cc+= 3*ido, ch +=ido) {
for (i=0; i<ido-1; i+=2) {
tr2 = VADD(cc[i+ido], cc[i+2*ido]);
cr2 = VADD(cc[i], SVMUL(taur,tr2));
ch[i] = VADD(cc[i], tr2);
ti2 = VADD(cc[i+ido+1], cc[i+2*ido+1]);
ci2 = VADD(cc[i +1], SVMUL(taur,ti2));
ch[i+1] = VADD(cc[i+1], ti2);
cr3 = SVMUL(taui, VSUB(cc[i+ido], cc[i+2*ido]));
ci3 = SVMUL(taui, VSUB(cc[i+ido+1], cc[i+2*ido+1]));
dr2 = VSUB(cr2, ci3);
dr3 = VADD(cr2, ci3);
di2 = VADD(ci2, cr3);
di3 = VSUB(ci2, cr3);
wr1=wa1[i]; wi1=fsign*wa1[i+1]; wr2=wa2[i]; wi2=fsign*wa2[i+1];
VCPLXMUL(dr2, di2, LD_PS1(wr1), LD_PS1(wi1));
ch[i+l1ido] = dr2;
ch[i+l1ido + 1] = di2;
VCPLXMUL(dr3, di3, LD_PS1(wr2), LD_PS1(wi2));
ch[i+2*l1ido] = dr3;
ch[i+2*l1ido+1] = di3;
}
}
} /* passf3 */
static NEVER_INLINE(void) passf4_ps(int ido, int l1, const v4sf *cc, v4sf *ch,
const float *wa1, const float *wa2, const float *wa3, float fsign) {
/* isign == -1 for forward transform and +1 for backward transform */
int i, k;
v4sf ci2, ci3, ci4, cr2, cr3, cr4, ti1, ti2, ti3, ti4, tr1, tr2, tr3, tr4;
int l1ido = l1*ido;
if (ido == 2) {
for (k=0; k < l1ido; k += ido, ch += ido, cc += 4*ido) {
tr1 = VSUB(cc[0], cc[2*ido + 0]);
tr2 = VADD(cc[0], cc[2*ido + 0]);
ti1 = VSUB(cc[1], cc[2*ido + 1]);
ti2 = VADD(cc[1], cc[2*ido + 1]);
ti4 = VMUL(VSUB(cc[1*ido + 0], cc[3*ido + 0]), LD_PS1(fsign));
tr4 = VMUL(VSUB(cc[3*ido + 1], cc[1*ido + 1]), LD_PS1(fsign));
tr3 = VADD(cc[ido + 0], cc[3*ido + 0]);
ti3 = VADD(cc[ido + 1], cc[3*ido + 1]);
ch[0*l1ido + 0] = VADD(tr2, tr3);
ch[0*l1ido + 1] = VADD(ti2, ti3);
ch[1*l1ido + 0] = VADD(tr1, tr4);
ch[1*l1ido + 1] = VADD(ti1, ti4);
ch[2*l1ido + 0] = VSUB(tr2, tr3);
ch[2*l1ido + 1] = VSUB(ti2, ti3);
ch[3*l1ido + 0] = VSUB(tr1, tr4);
ch[3*l1ido + 1] = VSUB(ti1, ti4);
}
} else {
for (k=0; k < l1ido; k += ido, ch+=ido, cc += 4*ido) {
for (i=0; i<ido-1; i+=2) {
float wr1, wi1, wr2, wi2, wr3, wi3;
tr1 = VSUB(cc[i + 0], cc[i + 2*ido + 0]);
tr2 = VADD(cc[i + 0], cc[i + 2*ido + 0]);
ti1 = VSUB(cc[i + 1], cc[i + 2*ido + 1]);
ti2 = VADD(cc[i + 1], cc[i + 2*ido + 1]);
tr4 = VMUL(VSUB(cc[i + 3*ido + 1], cc[i + 1*ido + 1]), LD_PS1(fsign));
ti4 = VMUL(VSUB(cc[i + 1*ido + 0], cc[i + 3*ido + 0]), LD_PS1(fsign));
tr3 = VADD(cc[i + ido + 0], cc[i + 3*ido + 0]);
ti3 = VADD(cc[i + ido + 1], cc[i + 3*ido + 1]);
ch[i] = VADD(tr2, tr3);
cr3 = VSUB(tr2, tr3);
ch[i + 1] = VADD(ti2, ti3);
ci3 = VSUB(ti2, ti3);
cr2 = VADD(tr1, tr4);
cr4 = VSUB(tr1, tr4);
ci2 = VADD(ti1, ti4);
ci4 = VSUB(ti1, ti4);
wr1=wa1[i]; wi1=fsign*wa1[i+1];
VCPLXMUL(cr2, ci2, LD_PS1(wr1), LD_PS1(wi1));
wr2=wa2[i]; wi2=fsign*wa2[i+1];
ch[i + l1ido] = cr2;
ch[i + l1ido + 1] = ci2;
VCPLXMUL(cr3, ci3, LD_PS1(wr2), LD_PS1(wi2));
wr3=wa3[i]; wi3=fsign*wa3[i+1];
ch[i + 2*l1ido] = cr3;
ch[i + 2*l1ido + 1] = ci3;
VCPLXMUL(cr4, ci4, LD_PS1(wr3), LD_PS1(wi3));
ch[i + 3*l1ido] = cr4;
ch[i + 3*l1ido + 1] = ci4;
}
}
}
} /* passf4 */
/*
passf5 and passb5 has been merged here, fsign = -1 for passf5, +1 for passb5
*/
static NEVER_INLINE(void) passf5_ps(int ido, int l1, const v4sf *cc, v4sf *ch,
const float *wa1, const float *wa2,
const float *wa3, const float *wa4, float fsign) {
static const float tr11 = .309016994374947f;
const float ti11 = .951056516295154f*fsign;
static const float tr12 = -.809016994374947f;
const float ti12 = .587785252292473f*fsign;
/* Local variables */
int i, k;
v4sf ci2, ci3, ci4, ci5, di3, di4, di5, di2, cr2, cr3, cr5, cr4, ti2, ti3,
ti4, ti5, dr3, dr4, dr5, dr2, tr2, tr3, tr4, tr5;
float wr1, wi1, wr2, wi2, wr3, wi3, wr4, wi4;
#define cc_ref(a_1,a_2) cc[(a_2-1)*ido + a_1 + 1]
#define ch_ref(a_1,a_3) ch[(a_3-1)*l1*ido + a_1 + 1]
assert(ido > 2);
for (k = 0; k < l1; ++k, cc += 5*ido, ch += ido) {
for (i = 0; i < ido-1; i += 2) {
ti5 = VSUB(cc_ref(i , 2), cc_ref(i , 5));
ti2 = VADD(cc_ref(i , 2), cc_ref(i , 5));
ti4 = VSUB(cc_ref(i , 3), cc_ref(i , 4));
ti3 = VADD(cc_ref(i , 3), cc_ref(i , 4));
tr5 = VSUB(cc_ref(i-1, 2), cc_ref(i-1, 5));
tr2 = VADD(cc_ref(i-1, 2), cc_ref(i-1, 5));
tr4 = VSUB(cc_ref(i-1, 3), cc_ref(i-1, 4));
tr3 = VADD(cc_ref(i-1, 3), cc_ref(i-1, 4));
ch_ref(i-1, 1) = VADD(cc_ref(i-1, 1), VADD(tr2, tr3));
ch_ref(i , 1) = VADD(cc_ref(i , 1), VADD(ti2, ti3));
cr2 = VADD(cc_ref(i-1, 1), VADD(SVMUL(tr11, tr2),SVMUL(tr12, tr3)));
ci2 = VADD(cc_ref(i , 1), VADD(SVMUL(tr11, ti2),SVMUL(tr12, ti3)));
cr3 = VADD(cc_ref(i-1, 1), VADD(SVMUL(tr12, tr2),SVMUL(tr11, tr3)));
ci3 = VADD(cc_ref(i , 1), VADD(SVMUL(tr12, ti2),SVMUL(tr11, ti3)));
cr5 = VADD(SVMUL(ti11, tr5), SVMUL(ti12, tr4));
ci5 = VADD(SVMUL(ti11, ti5), SVMUL(ti12, ti4));
cr4 = VSUB(SVMUL(ti12, tr5), SVMUL(ti11, tr4));
ci4 = VSUB(SVMUL(ti12, ti5), SVMUL(ti11, ti4));
dr3 = VSUB(cr3, ci4);
dr4 = VADD(cr3, ci4);
di3 = VADD(ci3, cr4);
di4 = VSUB(ci3, cr4);
dr5 = VADD(cr2, ci5);
dr2 = VSUB(cr2, ci5);
di5 = VSUB(ci2, cr5);
di2 = VADD(ci2, cr5);
wr1=wa1[i]; wi1=fsign*wa1[i+1]; wr2=wa2[i]; wi2=fsign*wa2[i+1];
wr3=wa3[i]; wi3=fsign*wa3[i+1]; wr4=wa4[i]; wi4=fsign*wa4[i+1];
VCPLXMUL(dr2, di2, LD_PS1(wr1), LD_PS1(wi1));
ch_ref(i - 1, 2) = dr2;
ch_ref(i, 2) = di2;
VCPLXMUL(dr3, di3, LD_PS1(wr2), LD_PS1(wi2));
ch_ref(i - 1, 3) = dr3;
ch_ref(i, 3) = di3;
VCPLXMUL(dr4, di4, LD_PS1(wr3), LD_PS1(wi3));
ch_ref(i - 1, 4) = dr4;
ch_ref(i, 4) = di4;
VCPLXMUL(dr5, di5, LD_PS1(wr4), LD_PS1(wi4));
ch_ref(i - 1, 5) = dr5;
ch_ref(i, 5) = di5;
}
}
#undef ch_ref
#undef cc_ref
}
static NEVER_INLINE(void) radf2_ps(int ido, int l1, const v4sf * RESTRICT cc, v4sf * RESTRICT ch, const float *wa1) {
static const float minus_one = -1.f;
int i, k, l1ido = l1*ido;
for (k=0; k < l1ido; k += ido) {
v4sf a = cc[k], b = cc[k + l1ido];
ch[2*k] = VADD(a, b);
ch[2*(k+ido)-1] = VSUB(a, b);
}
if (ido < 2) return;
if (ido != 2) {
for (k=0; k < l1ido; k += ido) {
for (i=2; i<ido; i+=2) {
v4sf tr2 = cc[i - 1 + k + l1ido], ti2 = cc[i + k + l1ido];
v4sf br = cc[i - 1 + k], bi = cc[i + k];
VCPLXMULCONJ(tr2, ti2, LD_PS1(wa1[i - 2]), LD_PS1(wa1[i - 1]));
ch[i + 2*k] = VADD(bi, ti2);
ch[2*(k+ido) - i] = VSUB(ti2, bi);
ch[i - 1 + 2*k] = VADD(br, tr2);
ch[2*(k+ido) - i -1] = VSUB(br, tr2);
}
}
if (ido % 2 == 1) return;
}
for (k=0; k < l1ido; k += ido) {
ch[2*k + ido] = SVMUL(minus_one, cc[ido-1 + k + l1ido]);
ch[2*k + ido-1] = cc[k + ido-1];
}
} /* radf2 */
static NEVER_INLINE(void) radb2_ps(int ido, int l1, const v4sf *cc, v4sf *ch, const float *wa1) {
static const float minus_two=-2;
int i, k, l1ido = l1*ido;
v4sf a,b,c,d, tr2, ti2;
for (k=0; k < l1ido; k += ido) {
a = cc[2*k]; b = cc[2*(k+ido) - 1];
ch[k] = VADD(a, b);
ch[k + l1ido] =VSUB(a, b);
}
if (ido < 2) return;
if (ido != 2) {
for (k = 0; k < l1ido; k += ido) {
for (i = 2; i < ido; i += 2) {
a = cc[i-1 + 2*k]; b = cc[2*(k + ido) - i - 1];
c = cc[i+0 + 2*k]; d = cc[2*(k + ido) - i + 0];
ch[i-1 + k] = VADD(a, b);
tr2 = VSUB(a, b);
ch[i+0 + k] = VSUB(c, d);
ti2 = VADD(c, d);
VCPLXMUL(tr2, ti2, LD_PS1(wa1[i - 2]), LD_PS1(wa1[i - 1]));
ch[i-1 + k + l1ido] = tr2;
ch[i+0 + k + l1ido] = ti2;
}
}
if (ido % 2 == 1) return;
}
for (k = 0; k < l1ido; k += ido) {
a = cc[2*k + ido-1]; b = cc[2*k + ido];
ch[k + ido-1] = VADD(a,a);
ch[k + ido-1 + l1ido] = SVMUL(minus_two, b);
}
} /* radb2 */
static void radf3_ps(int ido, int l1, const v4sf * RESTRICT cc, v4sf * RESTRICT ch,
const float *wa1, const float *wa2) {
static const float taur = -0.5f;
static const float taui = 0.866025403784439f;
int i, k, ic;
v4sf ci2, di2, di3, cr2, dr2, dr3, ti2, ti3, tr2, tr3, wr1, wi1, wr2, wi2;
for (k=0; k<l1; k++) {
cr2 = VADD(cc[(k + l1)*ido], cc[(k + 2*l1)*ido]);
ch[3*k*ido] = VADD(cc[k*ido], cr2);
ch[(3*k+2)*ido] = SVMUL(taui, VSUB(cc[(k + l1*2)*ido], cc[(k + l1)*ido]));
ch[ido-1 + (3*k + 1)*ido] = VADD(cc[k*ido], SVMUL(taur, cr2));
}
if (ido == 1) return;
for (k=0; k<l1; k++) {
for (i=2; i<ido; i+=2) {
ic = ido - i;
wr1 = LD_PS1(wa1[i - 2]); wi1 = LD_PS1(wa1[i - 1]);
dr2 = cc[i - 1 + (k + l1)*ido]; di2 = cc[i + (k + l1)*ido];
VCPLXMULCONJ(dr2, di2, wr1, wi1);
wr2 = LD_PS1(wa2[i - 2]); wi2 = LD_PS1(wa2[i - 1]);
dr3 = cc[i - 1 + (k + l1*2)*ido]; di3 = cc[i + (k + l1*2)*ido];
VCPLXMULCONJ(dr3, di3, wr2, wi2);
cr2 = VADD(dr2, dr3);
ci2 = VADD(di2, di3);
ch[i - 1 + 3*k*ido] = VADD(cc[i - 1 + k*ido], cr2);
ch[i + 3*k*ido] = VADD(cc[i + k*ido], ci2);
tr2 = VADD(cc[i - 1 + k*ido], SVMUL(taur, cr2));
ti2 = VADD(cc[i + k*ido], SVMUL(taur, ci2));
tr3 = SVMUL(taui, VSUB(di2, di3));
ti3 = SVMUL(taui, VSUB(dr3, dr2));
ch[i - 1 + (3*k + 2)*ido] = VADD(tr2, tr3);
ch[ic - 1 + (3*k + 1)*ido] = VSUB(tr2, tr3);
ch[i + (3*k + 2)*ido] = VADD(ti2, ti3);
ch[ic + (3*k + 1)*ido] = VSUB(ti3, ti2);
}
}
} /* radf3 */
static void radb3_ps(int ido, int l1, const v4sf *RESTRICT cc, v4sf *RESTRICT ch,
const float *wa1, const float *wa2)
{
static const float taur = -0.5f;
static const float taui = 0.866025403784439f;
static const float taui_2 = 0.866025403784439f*2;
int i, k, ic;
v4sf ci2, ci3, di2, di3, cr2, cr3, dr2, dr3, ti2, tr2;
for (k=0; k<l1; k++) {
tr2 = cc[ido-1 + (3*k + 1)*ido]; tr2 = VADD(tr2,tr2);
cr2 = VMADD(LD_PS1(taur), tr2, cc[3*k*ido]);
ch[k*ido] = VADD(cc[3*k*ido], tr2);
ci3 = SVMUL(taui_2, cc[(3*k + 2)*ido]);
ch[(k + l1)*ido] = VSUB(cr2, ci3);
ch[(k + 2*l1)*ido] = VADD(cr2, ci3);
}
if (ido == 1) return;
for (k=0; k<l1; k++) {
for (i=2; i<ido; i+=2) {
ic = ido - i;
tr2 = VADD(cc[i - 1 + (3*k + 2)*ido], cc[ic - 1 + (3*k + 1)*ido]);
cr2 = VMADD(LD_PS1(taur), tr2, cc[i - 1 + 3*k*ido]);
ch[i - 1 + k*ido] = VADD(cc[i - 1 + 3*k*ido], tr2);
ti2 = VSUB(cc[i + (3*k + 2)*ido], cc[ic + (3*k + 1)*ido]);
ci2 = VMADD(LD_PS1(taur), ti2, cc[i + 3*k*ido]);
ch[i + k*ido] = VADD(cc[i + 3*k*ido], ti2);
cr3 = SVMUL(taui, VSUB(cc[i - 1 + (3*k + 2)*ido], cc[ic - 1 + (3*k + 1)*ido]));
ci3 = SVMUL(taui, VADD(cc[i + (3*k + 2)*ido], cc[ic + (3*k + 1)*ido]));
dr2 = VSUB(cr2, ci3);
dr3 = VADD(cr2, ci3);
di2 = VADD(ci2, cr3);
di3 = VSUB(ci2, cr3);
VCPLXMUL(dr2, di2, LD_PS1(wa1[i-2]), LD_PS1(wa1[i-1]));
ch[i - 1 + (k + l1)*ido] = dr2;
ch[i + (k + l1)*ido] = di2;
VCPLXMUL(dr3, di3, LD_PS1(wa2[i-2]), LD_PS1(wa2[i-1]));
ch[i - 1 + (k + 2*l1)*ido] = dr3;
ch[i + (k + 2*l1)*ido] = di3;
}
}
} /* radb3 */
static NEVER_INLINE(void) radf4_ps(int ido, int l1, const v4sf *RESTRICT cc, v4sf * RESTRICT ch,
const float * RESTRICT wa1, const float * RESTRICT wa2, const float * RESTRICT wa3)
{
static const float minus_hsqt2 = (float)-0.7071067811865475;
int i, k, l1ido = l1*ido;
{
const v4sf *RESTRICT cc_ = cc, * RESTRICT cc_end = cc + l1ido;
v4sf * RESTRICT ch_ = ch;
while (cc < cc_end) {
// this loop represents between 25% and 40% of total radf4_ps cost !
v4sf a0 = cc[0], a1 = cc[l1ido];
v4sf a2 = cc[2*l1ido], a3 = cc[3*l1ido];
v4sf tr1 = VADD(a1, a3);
v4sf tr2 = VADD(a0, a2);
ch[2*ido-1] = VSUB(a0, a2);
ch[2*ido ] = VSUB(a3, a1);
ch[0 ] = VADD(tr1, tr2);
ch[4*ido-1] = VSUB(tr2, tr1);
cc += ido; ch += 4*ido;
}
cc = cc_; ch = ch_;
}
if (ido < 2) return;
if (ido != 2) {
for (k = 0; k < l1ido; k += ido) {
const v4sf * RESTRICT pc = (v4sf*)(cc + 1 + k);
for (i=2; i<ido; i += 2, pc += 2) {
int ic = ido - i;
v4sf wr, wi, cr2, ci2, cr3, ci3, cr4, ci4;
v4sf tr1, ti1, tr2, ti2, tr3, ti3, tr4, ti4;
cr2 = pc[1*l1ido+0];
ci2 = pc[1*l1ido+1];
wr=LD_PS1(wa1[i - 2]);
wi=LD_PS1(wa1[i - 1]);
VCPLXMULCONJ(cr2,ci2,wr,wi);
cr3 = pc[2*l1ido+0];
ci3 = pc[2*l1ido+1];
wr = LD_PS1(wa2[i-2]);
wi = LD_PS1(wa2[i-1]);
VCPLXMULCONJ(cr3, ci3, wr, wi);
cr4 = pc[3*l1ido];
ci4 = pc[3*l1ido+1];
wr = LD_PS1(wa3[i-2]);
wi = LD_PS1(wa3[i-1]);
VCPLXMULCONJ(cr4, ci4, wr, wi);
/* at this point, on SSE, five of "cr2 cr3 cr4 ci2 ci3 ci4" should be loaded in registers */
tr1 = VADD(cr2,cr4);
tr4 = VSUB(cr4,cr2);
tr2 = VADD(pc[0],cr3);
tr3 = VSUB(pc[0],cr3);
ch[i - 1 + 4*k] = VADD(tr1,tr2);
ch[ic - 1 + 4*k + 3*ido] = VSUB(tr2,tr1); // at this point tr1 and tr2 can be disposed
ti1 = VADD(ci2,ci4);
ti4 = VSUB(ci2,ci4);
ch[i - 1 + 4*k + 2*ido] = VADD(ti4,tr3);
ch[ic - 1 + 4*k + 1*ido] = VSUB(tr3,ti4); // dispose tr3, ti4
ti2 = VADD(pc[1],ci3);
ti3 = VSUB(pc[1],ci3);
ch[i + 4*k] = VADD(ti1, ti2);
ch[ic + 4*k + 3*ido] = VSUB(ti1, ti2);
ch[i + 4*k + 2*ido] = VADD(tr4, ti3);
ch[ic + 4*k + 1*ido] = VSUB(tr4, ti3);
}
}
if (ido % 2 == 1) return;
}
for (k=0; k<l1ido; k += ido) {
v4sf a = cc[ido-1 + k + l1ido], b = cc[ido-1 + k + 3*l1ido];
v4sf c = cc[ido-1 + k], d = cc[ido-1 + k + 2*l1ido];
v4sf ti1 = SVMUL(minus_hsqt2, VADD(a, b));
v4sf tr1 = SVMUL(minus_hsqt2, VSUB(b, a));
ch[ido-1 + 4*k] = VADD(tr1, c);
ch[ido-1 + 4*k + 2*ido] = VSUB(c, tr1);
ch[4*k + 1*ido] = VSUB(ti1, d);
ch[4*k + 3*ido] = VADD(ti1, d);
}
} /* radf4 */
static NEVER_INLINE(void) radb4_ps(int ido, int l1, const v4sf * RESTRICT cc, v4sf * RESTRICT ch,
const float * RESTRICT wa1, const float * RESTRICT wa2, const float *RESTRICT wa3)
{
static const float minus_sqrt2 = (float)-1.414213562373095;
static const float two = 2.f;
int i, k, l1ido = l1*ido;
v4sf ci2, ci3, ci4, cr2, cr3, cr4, ti1, ti2, ti3, ti4, tr1, tr2, tr3, tr4;
{
const v4sf *RESTRICT cc_ = cc, * RESTRICT ch_end = ch + l1ido;
v4sf *ch_ = ch;
while (ch < ch_end) {
v4sf a = cc[0], b = cc[4*ido-1];
v4sf c = cc[2*ido], d = cc[2*ido-1];
tr3 = SVMUL(two,d);
tr2 = VADD(a,b);
tr1 = VSUB(a,b);
tr4 = SVMUL(two,c);
ch[0*l1ido] = VADD(tr2, tr3);
ch[2*l1ido] = VSUB(tr2, tr3);
ch[1*l1ido] = VSUB(tr1, tr4);
ch[3*l1ido] = VADD(tr1, tr4);
cc += 4*ido; ch += ido;
}
cc = cc_; ch = ch_;
}
if (ido < 2) return;
if (ido != 2) {
for (k = 0; k < l1ido; k += ido) {
const v4sf * RESTRICT pc = (v4sf*)(cc - 1 + 4*k);
v4sf * RESTRICT ph = (v4sf*)(ch + k + 1);
for (i = 2; i < ido; i += 2) {
tr1 = VSUB(pc[i], pc[4*ido - i]);
tr2 = VADD(pc[i], pc[4*ido - i]);
ti4 = VSUB(pc[2*ido + i], pc[2*ido - i]);
tr3 = VADD(pc[2*ido + i], pc[2*ido - i]);
ph[0] = VADD(tr2, tr3);
cr3 = VSUB(tr2, tr3);
ti3 = VSUB(pc[2*ido + i + 1], pc[2*ido - i + 1]);
tr4 = VADD(pc[2*ido + i + 1], pc[2*ido - i + 1]);
cr2 = VSUB(tr1, tr4);
cr4 = VADD(tr1, tr4);
ti1 = VADD(pc[i + 1], pc[4*ido - i + 1]);
ti2 = VSUB(pc[i + 1], pc[4*ido - i + 1]);
ph[1] = VADD(ti2, ti3); ph += l1ido;
ci3 = VSUB(ti2, ti3);
ci2 = VADD(ti1, ti4);
ci4 = VSUB(ti1, ti4);
VCPLXMUL(cr2, ci2, LD_PS1(wa1[i-2]), LD_PS1(wa1[i-1]));
ph[0] = cr2;
ph[1] = ci2; ph += l1ido;
VCPLXMUL(cr3, ci3, LD_PS1(wa2[i-2]), LD_PS1(wa2[i-1]));
ph[0] = cr3;
ph[1] = ci3; ph += l1ido;
VCPLXMUL(cr4, ci4, LD_PS1(wa3[i-2]), LD_PS1(wa3[i-1]));
ph[0] = cr4;
ph[1] = ci4; ph = ph - 3*l1ido + 2;
}
}
if (ido % 2 == 1) return;
}
for (k=0; k < l1ido; k+=ido) {
int i0 = 4*k + ido;
v4sf c = cc[i0-1], d = cc[i0 + 2*ido-1];
v4sf a = cc[i0+0], b = cc[i0 + 2*ido+0];
tr1 = VSUB(c,d);
tr2 = VADD(c,d);
ti1 = VADD(b,a);
ti2 = VSUB(b,a);
ch[ido-1 + k + 0*l1ido] = VADD(tr2,tr2);
ch[ido-1 + k + 1*l1ido] = SVMUL(minus_sqrt2, VSUB(ti1, tr1));
ch[ido-1 + k + 2*l1ido] = VADD(ti2, ti2);
ch[ido-1 + k + 3*l1ido] = SVMUL(minus_sqrt2, VADD(ti1, tr1));
}
} /* radb4 */
static void radf5_ps(int ido, int l1, const v4sf * RESTRICT cc, v4sf * RESTRICT ch,
const float *wa1, const float *wa2, const float *wa3, const float *wa4)
{
static const float tr11 = .309016994374947f;
static const float ti11 = .951056516295154f;
static const float tr12 = -.809016994374947f;
static const float ti12 = .587785252292473f;
/* System generated locals */
int cc_offset, ch_offset;
/* Local variables */
int i, k, ic;
v4sf ci2, di2, ci4, ci5, di3, di4, di5, ci3, cr2, cr3, dr2, dr3, dr4, dr5,
cr5, cr4, ti2, ti3, ti5, ti4, tr2, tr3, tr4, tr5;
int idp2;
#define cc_ref(a_1,a_2,a_3) cc[((a_3)*l1 + (a_2))*ido + a_1]
#define ch_ref(a_1,a_2,a_3) ch[((a_3)*5 + (a_2))*ido + a_1]
/* Parameter adjustments */
ch_offset = 1 + ido * 6;
ch -= ch_offset;
cc_offset = 1 + ido * (1 + l1);
cc -= cc_offset;
/* Function Body */
for (k = 1; k <= l1; ++k) {
cr2 = VADD(cc_ref(1, k, 5), cc_ref(1, k, 2));
ci5 = VSUB(cc_ref(1, k, 5), cc_ref(1, k, 2));
cr3 = VADD(cc_ref(1, k, 4), cc_ref(1, k, 3));
ci4 = VSUB(cc_ref(1, k, 4), cc_ref(1, k, 3));
ch_ref(1, 1, k) = VADD(cc_ref(1, k, 1), VADD(cr2, cr3));
ch_ref(ido, 2, k) = VADD(cc_ref(1, k, 1), VADD(SVMUL(tr11, cr2), SVMUL(tr12, cr3)));
ch_ref(1, 3, k) = VADD(SVMUL(ti11, ci5), SVMUL(ti12, ci4));
ch_ref(ido, 4, k) = VADD(cc_ref(1, k, 1), VADD(SVMUL(tr12, cr2), SVMUL(tr11, cr3)));
ch_ref(1, 5, k) = VSUB(SVMUL(ti12, ci5), SVMUL(ti11, ci4));
//printf("pffft: radf5, k=%d ch_ref=%f, ci4=%f\n", k, ch_ref(1, 5, k), ci4);
}
if (ido == 1) {
return;
}
idp2 = ido + 2;
for (k = 1; k <= l1; ++k) {
for (i = 3; i <= ido; i += 2) {
ic = idp2 - i;
dr2 = LD_PS1(wa1[i-3]); di2 = LD_PS1(wa1[i-2]);
dr3 = LD_PS1(wa2[i-3]); di3 = LD_PS1(wa2[i-2]);
dr4 = LD_PS1(wa3[i-3]); di4 = LD_PS1(wa3[i-2]);
dr5 = LD_PS1(wa4[i-3]); di5 = LD_PS1(wa4[i-2]);
VCPLXMULCONJ(dr2, di2, cc_ref(i-1, k, 2), cc_ref(i, k, 2));
VCPLXMULCONJ(dr3, di3, cc_ref(i-1, k, 3), cc_ref(i, k, 3));
VCPLXMULCONJ(dr4, di4, cc_ref(i-1, k, 4), cc_ref(i, k, 4));
VCPLXMULCONJ(dr5, di5, cc_ref(i-1, k, 5), cc_ref(i, k, 5));
cr2 = VADD(dr2, dr5);
ci5 = VSUB(dr5, dr2);
cr5 = VSUB(di2, di5);
ci2 = VADD(di2, di5);
cr3 = VADD(dr3, dr4);
ci4 = VSUB(dr4, dr3);
cr4 = VSUB(di3, di4);
ci3 = VADD(di3, di4);
ch_ref(i - 1, 1, k) = VADD(cc_ref(i - 1, k, 1), VADD(cr2, cr3));
ch_ref(i, 1, k) = VSUB(cc_ref(i, k, 1), VADD(ci2, ci3));//
tr2 = VADD(cc_ref(i - 1, k, 1), VADD(SVMUL(tr11, cr2), SVMUL(tr12, cr3)));
ti2 = VSUB(cc_ref(i, k, 1), VADD(SVMUL(tr11, ci2), SVMUL(tr12, ci3)));//
tr3 = VADD(cc_ref(i - 1, k, 1), VADD(SVMUL(tr12, cr2), SVMUL(tr11, cr3)));
ti3 = VSUB(cc_ref(i, k, 1), VADD(SVMUL(tr12, ci2), SVMUL(tr11, ci3)));//
tr5 = VADD(SVMUL(ti11, cr5), SVMUL(ti12, cr4));
ti5 = VADD(SVMUL(ti11, ci5), SVMUL(ti12, ci4));
tr4 = VSUB(SVMUL(ti12, cr5), SVMUL(ti11, cr4));
ti4 = VSUB(SVMUL(ti12, ci5), SVMUL(ti11, ci4));
ch_ref(i - 1, 3, k) = VSUB(tr2, tr5);
ch_ref(ic - 1, 2, k) = VADD(tr2, tr5);
ch_ref(i, 3, k) = VADD(ti2, ti5);
ch_ref(ic, 2, k) = VSUB(ti5, ti2);
ch_ref(i - 1, 5, k) = VSUB(tr3, tr4);
ch_ref(ic - 1, 4, k) = VADD(tr3, tr4);
ch_ref(i, 5, k) = VADD(ti3, ti4);
ch_ref(ic, 4, k) = VSUB(ti4, ti3);
}
}
#undef cc_ref
#undef ch_ref
} /* radf5 */
static void radb5_ps(int ido, int l1, const v4sf *RESTRICT cc, v4sf *RESTRICT ch,
const float *wa1, const float *wa2, const float *wa3, const float *wa4)
{
static const float tr11 = .309016994374947f;
static const float ti11 = .951056516295154f;
static const float tr12 = -.809016994374947f;
static const float ti12 = .587785252292473f;
int cc_offset, ch_offset;
/* Local variables */
int i, k, ic;
v4sf ci2, ci3, ci4, ci5, di3, di4, di5, di2, cr2, cr3, cr5, cr4, ti2, ti3,
ti4, ti5, dr3, dr4, dr5, dr2, tr2, tr3, tr4, tr5;
int idp2;
#define cc_ref(a_1,a_2,a_3) cc[((a_3)*5 + (a_2))*ido + a_1]
#define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1]
/* Parameter adjustments */
ch_offset = 1 + ido * (1 + l1);
ch -= ch_offset;
cc_offset = 1 + ido * 6;
cc -= cc_offset;
/* Function Body */
for (k = 1; k <= l1; ++k) {
ti5 = VADD(cc_ref(1, 3, k), cc_ref(1, 3, k));
ti4 = VADD(cc_ref(1, 5, k), cc_ref(1, 5, k));
tr2 = VADD(cc_ref(ido, 2, k), cc_ref(ido, 2, k));
tr3 = VADD(cc_ref(ido, 4, k), cc_ref(ido, 4, k));
ch_ref(1, k, 1) = VADD(cc_ref(1, 1, k), VADD(tr2, tr3));
cr2 = VADD(cc_ref(1, 1, k), VADD(SVMUL(tr11, tr2), SVMUL(tr12, tr3)));
cr3 = VADD(cc_ref(1, 1, k), VADD(SVMUL(tr12, tr2), SVMUL(tr11, tr3)));
ci5 = VADD(SVMUL(ti11, ti5), SVMUL(ti12, ti4));
ci4 = VSUB(SVMUL(ti12, ti5), SVMUL(ti11, ti4));
ch_ref(1, k, 2) = VSUB(cr2, ci5);
ch_ref(1, k, 3) = VSUB(cr3, ci4);
ch_ref(1, k, 4) = VADD(cr3, ci4);
ch_ref(1, k, 5) = VADD(cr2, ci5);
}
if (ido == 1) {
return;
}
idp2 = ido + 2;
for (k = 1; k <= l1; ++k) {
for (i = 3; i <= ido; i += 2) {
ic = idp2 - i;
ti5 = VADD(cc_ref(i , 3, k), cc_ref(ic , 2, k));
ti2 = VSUB(cc_ref(i , 3, k), cc_ref(ic , 2, k));
ti4 = VADD(cc_ref(i , 5, k), cc_ref(ic , 4, k));
ti3 = VSUB(cc_ref(i , 5, k), cc_ref(ic , 4, k));
tr5 = VSUB(cc_ref(i-1, 3, k), cc_ref(ic-1, 2, k));
tr2 = VADD(cc_ref(i-1, 3, k), cc_ref(ic-1, 2, k));
tr4 = VSUB(cc_ref(i-1, 5, k), cc_ref(ic-1, 4, k));
tr3 = VADD(cc_ref(i-1, 5, k), cc_ref(ic-1, 4, k));
ch_ref(i - 1, k, 1) = VADD(cc_ref(i-1, 1, k), VADD(tr2, tr3));
ch_ref(i, k, 1) = VADD(cc_ref(i, 1, k), VADD(ti2, ti3));
cr2 = VADD(cc_ref(i-1, 1, k), VADD(SVMUL(tr11, tr2), SVMUL(tr12, tr3)));
ci2 = VADD(cc_ref(i , 1, k), VADD(SVMUL(tr11, ti2), SVMUL(tr12, ti3)));
cr3 = VADD(cc_ref(i-1, 1, k), VADD(SVMUL(tr12, tr2), SVMUL(tr11, tr3)));
ci3 = VADD(cc_ref(i , 1, k), VADD(SVMUL(tr12, ti2), SVMUL(tr11, ti3)));
cr5 = VADD(SVMUL(ti11, tr5), SVMUL(ti12, tr4));
ci5 = VADD(SVMUL(ti11, ti5), SVMUL(ti12, ti4));
cr4 = VSUB(SVMUL(ti12, tr5), SVMUL(ti11, tr4));
ci4 = VSUB(SVMUL(ti12, ti5), SVMUL(ti11, ti4));
dr3 = VSUB(cr3, ci4);
dr4 = VADD(cr3, ci4);
di3 = VADD(ci3, cr4);
di4 = VSUB(ci3, cr4);
dr5 = VADD(cr2, ci5);
dr2 = VSUB(cr2, ci5);
di5 = VSUB(ci2, cr5);
di2 = VADD(ci2, cr5);
VCPLXMUL(dr2, di2, LD_PS1(wa1[i-3]), LD_PS1(wa1[i-2]));
VCPLXMUL(dr3, di3, LD_PS1(wa2[i-3]), LD_PS1(wa2[i-2]));
VCPLXMUL(dr4, di4, LD_PS1(wa3[i-3]), LD_PS1(wa3[i-2]));
VCPLXMUL(dr5, di5, LD_PS1(wa4[i-3]), LD_PS1(wa4[i-2]));
ch_ref(i-1, k, 2) = dr2; ch_ref(i, k, 2) = di2;
ch_ref(i-1, k, 3) = dr3; ch_ref(i, k, 3) = di3;
ch_ref(i-1, k, 4) = dr4; ch_ref(i, k, 4) = di4;
ch_ref(i-1, k, 5) = dr5; ch_ref(i, k, 5) = di5;
}
}
#undef cc_ref
#undef ch_ref
} /* radb5 */
static NEVER_INLINE(v4sf *) rfftf1_ps(int n, const v4sf *input_readonly, v4sf *work1, v4sf *work2,
const float *wa, const int *ifac) {
v4sf *in = (v4sf*)input_readonly;
v4sf *out = (in == work2 ? work1 : work2);
int nf = ifac[1], k1;
int l2 = n;
int iw = n-1;
assert(in != out && work1 != work2);
for (k1 = 1; k1 <= nf; ++k1) {
int kh = nf - k1;
int ip = ifac[kh + 2];
int l1 = l2 / ip;
int ido = n / l2;
iw -= (ip - 1)*ido;
switch (ip) {
case 5: {
int ix2 = iw + ido;
int ix3 = ix2 + ido;
int ix4 = ix3 + ido;
radf5_ps(ido, l1, in, out, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4]);
} break;
case 4: {
int ix2 = iw + ido;
int ix3 = ix2 + ido;
radf4_ps(ido, l1, in, out, &wa[iw], &wa[ix2], &wa[ix3]);
} break;
case 3: {
int ix2 = iw + ido;
radf3_ps(ido, l1, in, out, &wa[iw], &wa[ix2]);
} break;
case 2:
radf2_ps(ido, l1, in, out, &wa[iw]);
break;
default:
assert(0);
break;
}
l2 = l1;
if (out == work2) {
out = work1; in = work2;
} else {
out = work2; in = work1;
}
}
return in; /* this is in fact the output .. */
} /* rfftf1 */
static NEVER_INLINE(v4sf *) rfftb1_ps(int n, const v4sf *input_readonly, v4sf *work1, v4sf *work2,
const float *wa, const int *ifac) {
v4sf *in = (v4sf*)input_readonly;
v4sf *out = (in == work2 ? work1 : work2);
int nf = ifac[1], k1;
int l1 = 1;
int iw = 0;
assert(in != out);
for (k1=1; k1<=nf; k1++) {
int ip = ifac[k1 + 1];
int l2 = ip*l1;
int ido = n / l2;
switch (ip) {
case 5: {
int ix2 = iw + ido;
int ix3 = ix2 + ido;
int ix4 = ix3 + ido;
radb5_ps(ido, l1, in, out, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4]);
} break;
case 4: {
int ix2 = iw + ido;
int ix3 = ix2 + ido;
radb4_ps(ido, l1, in, out, &wa[iw], &wa[ix2], &wa[ix3]);
} break;
case 3: {
int ix2 = iw + ido;
radb3_ps(ido, l1, in, out, &wa[iw], &wa[ix2]);
} break;
case 2:
radb2_ps(ido, l1, in, out, &wa[iw]);
break;
default:
assert(0);
break;
}
l1 = l2;
iw += (ip - 1)*ido;
if (out == work2) {
out = work1; in = work2;
} else {
out = work2; in = work1;
}
}
return in; /* this is in fact the output .. */
}
static int decompose(int n, int *ifac, const int *ntryh) {
int nl = n, nf = 0, i, j = 0;
for (j=0; ntryh[j]; ++j) {
int ntry = ntryh[j];
while (nl != 1) {
int nq = nl / ntry;
int nr = nl - ntry * nq;
if (nr == 0) {
ifac[2+nf++] = ntry;
nl = nq;
if (ntry == 2 && nf != 1) {
for (i = 2; i <= nf; ++i) {
int ib = nf - i + 2;
ifac[ib + 1] = ifac[ib];
}
ifac[2] = 2;
}
} else break;
}
}
ifac[0] = n;
ifac[1] = nf;
return nf;
}
static void rffti1_ps(int n, float *wa, int *ifac)
{
static const int ntryh[] = { 4,2,3,5,0 };
int k1, j, ii;
int nf = decompose(n,ifac,ntryh);
float argh = (2*(float)M_PI) / n;
int is = 0;
int nfm1 = nf - 1;
int l1 = 1;
for (k1 = 1; k1 <= nfm1; k1++) {
int ip = ifac[k1 + 1];
int ld = 0;
int l2 = l1*ip;
int ido = n / l2;
int ipm = ip - 1;
for (j = 1; j <= ipm; ++j) {
float argld;
int i = is, fi=0;
ld += l1;
argld = ld*argh;
for (ii = 3; ii <= ido; ii += 2) {
i += 2;
fi += 1;
wa[i - 2] = cosf(fi*argld);
wa[i - 1] = sinf(fi*argld);
}
is += ido;
}
l1 = l2;
}
} /* rffti1 */
void cffti1_ps(int n, float *wa, int *ifac)
{
static const int ntryh[] = { 5,3,4,2,0 };
int k1, j, ii;
int nf = decompose(n,ifac,ntryh);
float argh = (2*(float)M_PI) / n;
int i = 1;
int l1 = 1;
for (k1=1; k1<=nf; k1++) {
int ip = ifac[k1+1];
int ld = 0;
int l2 = l1*ip;
int ido = n / l2;
int idot = ido + ido + 2;
int ipm = ip - 1;
for (j=1; j<=ipm; j++) {
float argld;
int i1 = i, fi = 0;