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
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
|
;******************************************************************************
;* Copyright (c) Lynne
;*
;* This file is part of FFmpeg.
;*
;* FFmpeg is free software; you can redistribute it and/or
;* modify it under the terms of the GNU Lesser General Public
;* License as published by the Free Software Foundation; either
;* version 2.1 of the License, or (at your option) any later version.
;*
;* FFmpeg is distributed in the hope that it will be useful,
;* but WITHOUT ANY WARRANTY; without even the implied warranty of
;* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
;* Lesser General Public License for more details.
;*
;* You should have received a copy of the GNU Lesser General Public
;* License along with FFmpeg; if not, write to the Free Software
;* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
;******************************************************************************
; Open `doc/transforms.md` to see the code upon which the transforms here were
; based upon and compare.
; TODO:
; carry over registers from smaller transforms to save on ~8 loads/stores
; check if vinsertf could be faster than verpm2f128 for duplication
; even faster FFT8 (current one is very #instructions optimized)
; replace some xors with blends + addsubs?
; replace some shuffles with vblends?
; avx512 split-radix
%include "x86util.asm"
%if ARCH_X86_64
%define ptr resq
%else
%define ptr resd
%endif
%assign i 16
%rep 14
cextern cos_ %+ i %+ _float ; ff_cos_i_float...
%assign i (i << 1)
%endrep
struc AVTXContext
.n: resd 1 ; Non-power-of-two part
.m: resd 1 ; Power-of-two part
.inv: resd 1 ; Is inverse
.type: resd 1 ; Type
.flags: resq 1 ; Flags
.scale: resq 1 ; Scale
.exptab: ptr 1 ; MDCT exptab
.tmp: ptr 1 ; Temporary buffer needed for all compound transforms
.pfatab: ptr 1 ; Input/Output mapping for compound transforms
.revtab: ptr 1 ; Input mapping for power of two transforms
.inplace_idx: ptr 1 ; Required indices to revtab for in-place transforms
.top_tx ptr 1 ; Used for transforms derived from other transforms
endstruc
SECTION_RODATA 32
%define POS 0x00000000
%define NEG 0x80000000
%define M_SQRT1_2 0.707106781186547524401
%define COS16_1 0.92387950420379638671875
%define COS16_3 0.3826834261417388916015625
d8_mult_odd: dd M_SQRT1_2, -M_SQRT1_2, -M_SQRT1_2, M_SQRT1_2, \
M_SQRT1_2, -M_SQRT1_2, -M_SQRT1_2, M_SQRT1_2
s8_mult_odd: dd 1.0, 1.0, -1.0, 1.0, -M_SQRT1_2, -M_SQRT1_2, M_SQRT1_2, M_SQRT1_2
s8_perm_even: dd 1, 3, 0, 2, 1, 3, 2, 0
s8_perm_odd1: dd 3, 3, 1, 1, 1, 1, 3, 3
s8_perm_odd2: dd 1, 2, 0, 3, 1, 0, 0, 1
s16_mult_even: dd 1.0, 1.0, M_SQRT1_2, M_SQRT1_2, 1.0, -1.0, M_SQRT1_2, -M_SQRT1_2
s16_mult_odd1: dd COS16_1, COS16_1, COS16_3, COS16_3, COS16_1, -COS16_1, COS16_3, -COS16_3
s16_mult_odd2: dd COS16_3, -COS16_3, COS16_1, -COS16_1, -COS16_3, -COS16_3, -COS16_1, -COS16_1
s16_perm: dd 0, 1, 2, 3, 1, 0, 3, 2
mask_mmmmpppm: dd NEG, NEG, NEG, NEG, POS, POS, POS, NEG
mask_ppmpmmpm: dd POS, POS, NEG, POS, NEG, NEG, POS, NEG
mask_mppmmpmp: dd NEG, POS, POS, NEG, NEG, POS, NEG, POS
mask_mpmppmpm: dd NEG, POS, NEG, POS, POS, NEG, POS, NEG
mask_pmmppmmp: dd POS, NEG, NEG, POS, POS, NEG, NEG, POS
mask_pmpmpmpm: times 4 dd POS, NEG
SECTION .text
; Load complex values (64 bits) via a lookup table
; %1 - output register
; %2 - GRP of base input memory address
; %3 - GPR of LUT (int32_t indices) address
; %4 - LUT offset
; %5 - temporary GPR (only used if vgather is not used)
; %6 - temporary register (for avx only)
; %7 - temporary register (for avx only, enables vgatherdpd (AVX2) if FMA3 is set)
%macro LOAD64_LUT 5-7
%if %0 > 6 && cpuflag(avx2)
pcmpeqd %6, %6 ; pcmpeqq has a 0.5 throughput on Zen 3, this has 0.25
movapd xmm%7, [%3 + %4] ; float mov since vgatherdpd is a float instruction
vgatherdpd %1, [%2 + xmm%7*8], %6 ; must use separate registers for args
%else
mov %5d, [%3 + %4 + 0]
movsd xmm%1, [%2 + %5q*8]
%if mmsize == 32
mov %5d, [%3 + %4 + 8]
movsd xmm%6, [%2 + %5q*8]
%endif
mov %5d, [%3 + %4 + 4]
movhps xmm%1, [%2 + %5q*8]
%if mmsize == 32
mov %5d, [%3 + %4 + 12]
movhps xmm%6, [%2 + %5q*8]
vinsertf128 %1, %1, xmm%6, 1
%endif
%endif
%endmacro
; Single 2-point in-place complex FFT (will do 2 transforms at once in AVX mode)
; %1 - coefficients (r0.reim, r1.reim)
; %2 - temporary
%macro FFT2 2
shufps %2, %1, %1, q3322
shufps %1, %1, %1, q1100
addsubps %1, %1, %2
shufps %1, %1, %1, q2031
%endmacro
; Single 4-point in-place complex FFT (will do 2 transforms at once in [AVX] mode)
; %1 - even coefficients (r0.reim, r2.reim, r4.reim, r6.reim)
; %2 - odd coefficients (r1.reim, r3.reim, r5.reim, r7.reim)
; %3 - temporary
%macro FFT4 3
subps %3, %1, %2 ; r1234, [r5678]
addps %1, %1, %2 ; t1234, [t5678]
shufps %2, %1, %3, q1010 ; t12, r12
shufps %1, %1, %3, q2332 ; t34, r43
subps %3, %2, %1 ; a34, b32
addps %2, %2, %1 ; a12, b14
shufps %1, %2, %3, q1010 ; a1234 even
shufps %2, %2, %3, q2332 ; b1423
shufps %2, %2, %2, q1320 ; b1234 odd
%endmacro
; Single/Dual 8-point in-place complex FFT (will do 2 transforms in [AVX] mode)
; %1 - even coefficients (a0.reim, a2.reim, [b0.reim, b2.reim])
; %2 - even coefficients (a4.reim, a6.reim, [b4.reim, b6.reim])
; %3 - odd coefficients (a1.reim, a3.reim, [b1.reim, b3.reim])
; %4 - odd coefficients (a5.reim, a7.reim, [b5.reim, b7.reim])
; %5 - temporary
; %6 - temporary
%macro FFT8 6
addps %5, %1, %3 ; q1-8
addps %6, %2, %4 ; k1-8
subps %1, %1, %3 ; r1-8
subps %2, %2, %4 ; j1-8
shufps %4, %1, %1, q2323 ; r4343
shufps %3, %5, %6, q3032 ; q34, k14
shufps %1, %1, %1, q1010 ; r1212
shufps %5, %5, %6, q1210 ; q12, k32
xorps %4, %4, [mask_pmmppmmp] ; r4343 * pmmp
addps %6, %5, %3 ; s12, g12
mulps %2, %2, [d8_mult_odd] ; r8 * d8_mult_odd
subps %5, %5, %3 ; s34, g43
addps %3, %1, %4 ; z1234
unpcklpd %1, %6, %5 ; s1234
shufps %4, %2, %2, q2301 ; j2143
shufps %6, %6, %5, q2332 ; g1234
addsubps %2, %2, %4 ; l2143
shufps %5, %2, %2, q0123 ; l3412
addsubps %5, %5, %2 ; t1234
subps %2, %1, %6 ; h1234 even
subps %4, %3, %5 ; u1234 odd
addps %1, %1, %6 ; w1234 even
addps %3, %3, %5 ; o1234 odd
%endmacro
; Single 8-point in-place complex FFT in 20 instructions
; %1 - even coefficients (r0.reim, r2.reim, r4.reim, r6.reim)
; %2 - odd coefficients (r1.reim, r3.reim, r5.reim, r7.reim)
; %3 - temporary
; %4 - temporary
%macro FFT8_AVX 4
subps %3, %1, %2 ; r1234, r5678
addps %1, %1, %2 ; q1234, q5678
vpermilps %2, %3, [s8_perm_odd1] ; r4422, r6688
shufps %4, %1, %1, q3322 ; q1122, q5566
movsldup %3, %3 ; r1133, r5577
shufps %1, %1, %1, q1100 ; q3344, q7788
addsubps %3, %3, %2 ; z1234, z5678
addsubps %1, %1, %4 ; s3142, s7586
mulps %3, %3, [s8_mult_odd] ; z * s8_mult_odd
vpermilps %1, %1, [s8_perm_even] ; s1234, s5687 !
shufps %2, %3, %3, q2332 ; junk, z7887
xorps %4, %1, [mask_mmmmpppm] ; e1234, e5687 !
vpermilps %3, %3, [s8_perm_odd2] ; z2314, z6556
vperm2f128 %1, %1, %4, 0x03 ; e5687, s1234
addsubps %2, %2, %3 ; junk, t5678
subps %1, %1, %4 ; w1234, w5678 even
vperm2f128 %2, %2, %2, 0x11 ; t5678, t5678
vperm2f128 %3, %3, %3, 0x00 ; z2314, z2314
xorps %2, %2, [mask_ppmpmmpm] ; t * ppmpmmpm
addps %2, %3, %2 ; u1234, u5678 odd
%endmacro
; Single 16-point in-place complex FFT
; %1 - even coefficients (r0.reim, r2.reim, r4.reim, r6.reim)
; %2 - even coefficients (r8.reim, r10.reim, r12.reim, r14.reim)
; %3 - odd coefficients (r1.reim, r3.reim, r5.reim, r7.reim)
; %4 - odd coefficients (r9.reim, r11.reim, r13.reim, r15.reim)
; %5, %6 - temporary
; %7, %8 - temporary (optional)
%macro FFT16 6-8
FFT4 %3, %4, %5
%if %0 > 7
FFT8_AVX %1, %2, %6, %7
movaps %8, [mask_mpmppmpm]
movaps %7, [s16_perm]
%define mask %8
%define perm %7
%elif %0 > 6
FFT8_AVX %1, %2, %6, %7
movaps %7, [s16_perm]
%define mask [mask_mpmppmpm]
%define perm %7
%else
FFT8_AVX %1, %2, %6, %5
%define mask [mask_mpmppmpm]
%define perm [s16_perm]
%endif
xorps %5, %5, %5 ; 0
shufps %6, %4, %4, q2301 ; z12.imre, z13.imre...
shufps %5, %5, %3, q2301 ; 0, 0, z8.imre...
mulps %4, %4, [s16_mult_odd1] ; z.reim * costab
xorps %5, %5, [mask_mppmmpmp]
%if cpuflag(fma3)
fmaddps %6, %6, [s16_mult_odd2], %4 ; s[8..15]
addps %5, %3, %5 ; s[0...7]
%else
mulps %6, %6, [s16_mult_odd2] ; z.imre * costab
addps %5, %3, %5 ; s[0...7]
addps %6, %4, %6 ; s[8..15]
%endif
mulps %5, %5, [s16_mult_even] ; s[0...7]*costab
xorps %4, %6, mask ; s[8..15]*mpmppmpm
xorps %3, %5, mask ; s[0...7]*mpmppmpm
vperm2f128 %4, %4, %4, 0x01 ; s[12..15, 8..11]
vperm2f128 %3, %3, %3, 0x01 ; s[4..7, 0..3]
addps %6, %6, %4 ; y56, u56, y34, u34
addps %5, %5, %3 ; w56, x56, w34, x34
vpermilps %6, %6, perm ; y56, u56, y43, u43
vpermilps %5, %5, perm ; w56, x56, w43, x43
subps %4, %2, %6 ; odd part 2
addps %3, %2, %6 ; odd part 1
subps %2, %1, %5 ; even part 2
addps %1, %1, %5 ; even part 1
%undef mask
%undef perm
%endmacro
; Cobmines m0...m8 (tx1[even, even, odd, odd], tx2,3[even], tx2,3[odd]) coeffs
; Uses all 16 of registers.
; Output is slightly permuted such that tx2,3's coefficients are interleaved
; on a 2-point basis (look at `doc/transforms.md`)
%macro SPLIT_RADIX_COMBINE 17
%if %1 && mmsize == 32
vperm2f128 %14, %6, %7, 0x20 ; m2[0], m2[1], m3[0], m3[1] even
vperm2f128 %16, %9, %8, 0x20 ; m2[0], m2[1], m3[0], m3[1] odd
vperm2f128 %15, %6, %7, 0x31 ; m2[2], m2[3], m3[2], m3[3] even
vperm2f128 %17, %9, %8, 0x31 ; m2[2], m2[3], m3[2], m3[3] odd
%endif
shufps %12, %10, %10, q2200 ; cos00224466
shufps %13, %11, %11, q1133 ; wim77553311
movshdup %10, %10 ; cos11335577
shufps %11, %11, %11, q0022 ; wim66442200
%if %1 && mmsize == 32
shufps %6, %14, %14, q2301 ; m2[0].imre, m2[1].imre, m2[2].imre, m2[3].imre even
shufps %8, %16, %16, q2301 ; m2[0].imre, m2[1].imre, m2[2].imre, m2[3].imre odd
shufps %7, %15, %15, q2301 ; m3[0].imre, m3[1].imre, m3[2].imre, m3[3].imre even
shufps %9, %17, %17, q2301 ; m3[0].imre, m3[1].imre, m3[2].imre, m3[3].imre odd
mulps %14, %14, %13 ; m2[0123]reim * wim7531 even
mulps %16, %16, %11 ; m2[0123]reim * wim7531 odd
mulps %15, %15, %13 ; m3[0123]reim * wim7531 even
mulps %17, %17, %11 ; m3[0123]reim * wim7531 odd
%else
mulps %14, %6, %13 ; m2,3[01]reim * wim7531 even
mulps %16, %8, %11 ; m2,3[01]reim * wim7531 odd
mulps %15, %7, %13 ; m2,3[23]reim * wim7531 even
mulps %17, %9, %11 ; m2,3[23]reim * wim7531 odd
; reorder the multiplies to save movs reg, reg in the %if above
shufps %6, %6, %6, q2301 ; m2[0].imre, m2[1].imre, m3[0].imre, m3[1].imre even
shufps %8, %8, %8, q2301 ; m2[0].imre, m2[1].imre, m3[0].imre, m3[1].imre odd
shufps %7, %7, %7, q2301 ; m2[2].imre, m2[3].imre, m3[2].imre, m3[3].imre even
shufps %9, %9, %9, q2301 ; m2[2].imre, m2[3].imre, m3[2].imre, m3[3].imre odd
%endif
%if cpuflag(fma3) ; 11 - 5 = 6 instructions saved through FMA!
fmaddsubps %6, %6, %12, %14 ; w[0..8] even
fmaddsubps %8, %8, %10, %16 ; w[0..8] odd
fmsubaddps %7, %7, %12, %15 ; j[0..8] even
fmsubaddps %9, %9, %10, %17 ; j[0..8] odd
movaps %13, [mask_pmpmpmpm] ; "subaddps? pfft, who needs that!"
%else
mulps %6, %6, %12 ; m2,3[01]imre * cos0246
mulps %8, %8, %10 ; m2,3[01]imre * cos0246
movaps %13, [mask_pmpmpmpm] ; "subaddps? pfft, who needs that!"
mulps %7, %7, %12 ; m2,3[23]reim * cos0246
mulps %9, %9, %10 ; m2,3[23]reim * cos0246
addsubps %6, %6, %14 ; w[0..8]
addsubps %8, %8, %16 ; w[0..8]
xorps %15, %15, %13 ; +-m2,3[23]imre * wim7531
xorps %17, %17, %13 ; +-m2,3[23]imre * wim7531
addps %7, %7, %15 ; j[0..8]
addps %9, %9, %17 ; j[0..8]
%endif
addps %14, %6, %7 ; t10235476 even
addps %16, %8, %9 ; t10235476 odd
subps %15, %6, %7 ; +-r[0..7] even
subps %17, %8, %9 ; +-r[0..7] odd
shufps %14, %14, %14, q2301 ; t[0..7] even
shufps %16, %16, %16, q2301 ; t[0..7] odd
xorps %15, %15, %13 ; r[0..7] even
xorps %17, %17, %13 ; r[0..7] odd
subps %6, %2, %14 ; m2,3[01] even
subps %8, %4, %16 ; m2,3[01] odd
subps %7, %3, %15 ; m2,3[23] even
subps %9, %5, %17 ; m2,3[23] odd
addps %2, %2, %14 ; m0 even
addps %4, %4, %16 ; m0 odd
addps %3, %3, %15 ; m1 even
addps %5, %5, %17 ; m1 odd
%endmacro
; Same as above, only does one parity at a time, takes 3 temporary registers,
; however, if the twiddles aren't needed after this, the registers they use
; can be used as any of the temporary registers.
%macro SPLIT_RADIX_COMBINE_HALF 10
%if %1
shufps %8, %6, %6, q2200 ; cos00224466
shufps %9, %7, %7, q1133 ; wim77553311
%else
shufps %8, %6, %6, q3311 ; cos11335577
shufps %9, %7, %7, q0022 ; wim66442200
%endif
mulps %10, %4, %9 ; m2,3[01]reim * wim7531 even
mulps %9, %9, %5 ; m2,3[23]reim * wim7531 even
shufps %4, %4, %4, q2301 ; m2[0].imre, m2[1].imre, m3[0].imre, m3[1].imre even
shufps %5, %5, %5, q2301 ; m2[2].imre, m2[3].imre, m3[2].imre, m3[3].imre even
%if cpuflag(fma3)
fmaddsubps %4, %4, %8, %10 ; w[0..8] even
fmsubaddps %5, %5, %8, %9 ; j[0..8] even
movaps %10, [mask_pmpmpmpm]
%else
mulps %4, %4, %8 ; m2,3[01]imre * cos0246
mulps %5, %5, %8 ; m2,3[23]reim * cos0246
addsubps %4, %4, %10 ; w[0..8]
movaps %10, [mask_pmpmpmpm]
xorps %9, %9, %10 ; +-m2,3[23]imre * wim7531
addps %5, %5, %9 ; j[0..8]
%endif
addps %8, %4, %5 ; t10235476
subps %9, %4, %5 ; +-r[0..7]
shufps %8, %8, %8, q2301 ; t[0..7]
xorps %9, %9, %10 ; r[0..7]
subps %4, %2, %8 ; %3,3[01]
subps %5, %3, %9 ; %3,3[23]
addps %2, %2, %8 ; m0
addps %3, %3, %9 ; m1
%endmacro
; Same as above, tries REALLY hard to use 2 temporary registers.
%macro SPLIT_RADIX_COMBINE_LITE 9
%if %1
shufps %8, %6, %6, q2200 ; cos00224466
shufps %9, %7, %7, q1133 ; wim77553311
%else
shufps %8, %6, %6, q3311 ; cos11335577
shufps %9, %7, %7, q0022 ; wim66442200
%endif
mulps %9, %9, %4 ; m2,3[01]reim * wim7531 even
shufps %4, %4, %4, q2301 ; m2[0].imre, m2[1].imre, m3[0].imre, m3[1].imre even
%if cpuflag(fma3)
fmaddsubps %4, %4, %8, %9 ; w[0..8] even
%else
mulps %4, %4, %8 ; m2,3[01]imre * cos0246
addsubps %4, %4, %9 ; w[0..8]
%endif
%if %1
shufps %9, %7, %7, q1133 ; wim77553311
%else
shufps %9, %7, %7, q0022 ; wim66442200
%endif
mulps %9, %9, %5 ; m2,3[23]reim * wim7531 even
shufps %5, %5, %5, q2301 ; m2[2].imre, m2[3].imre, m3[2].imre, m3[3].imre even
%if cpuflag (fma3)
fmsubaddps %5, %5, %8, %9 ; j[0..8] even
%else
mulps %5, %5, %8 ; m2,3[23]reim * cos0246
xorps %9, %9, [mask_pmpmpmpm] ; +-m2,3[23]imre * wim7531
addps %5, %5, %9 ; j[0..8]
%endif
addps %8, %4, %5 ; t10235476
subps %9, %4, %5 ; +-r[0..7]
shufps %8, %8, %8, q2301 ; t[0..7]
xorps %9, %9, [mask_pmpmpmpm] ; r[0..7]
subps %4, %2, %8 ; %3,3[01]
subps %5, %3, %9 ; %3,3[23]
addps %2, %2, %8 ; m0
addps %3, %3, %9 ; m1
%endmacro
%macro SPLIT_RADIX_COMBINE_64 0
SPLIT_RADIX_COMBINE_LITE 1, m0, m1, tx1_e0, tx2_e0, tw_e, tw_o, tmp1, tmp2
movaps [outq + 0*mmsize], m0
movaps [outq + 4*mmsize], m1
movaps [outq + 8*mmsize], tx1_e0
movaps [outq + 12*mmsize], tx2_e0
SPLIT_RADIX_COMBINE_HALF 0, m2, m3, tx1_o0, tx2_o0, tw_e, tw_o, tmp1, tmp2, m0
movaps [outq + 2*mmsize], m2
movaps [outq + 6*mmsize], m3
movaps [outq + 10*mmsize], tx1_o0
movaps [outq + 14*mmsize], tx2_o0
movaps tw_e, [cos_64_float + mmsize]
vperm2f128 tw_o, tw_o, [cos_64_float + 64 - 4*7 - mmsize], 0x23
movaps m0, [outq + 1*mmsize]
movaps m1, [outq + 3*mmsize]
movaps m2, [outq + 5*mmsize]
movaps m3, [outq + 7*mmsize]
SPLIT_RADIX_COMBINE 0, m0, m2, m1, m3, tx1_e1, tx2_e1, tx1_o1, tx2_o1, tw_e, tw_o, \
tmp1, tmp2, tx2_o0, tx1_o0, tx2_e0, tx1_e0 ; temporary registers
movaps [outq + 1*mmsize], m0
movaps [outq + 3*mmsize], m1
movaps [outq + 5*mmsize], m2
movaps [outq + 7*mmsize], m3
movaps [outq + 9*mmsize], tx1_e1
movaps [outq + 11*mmsize], tx1_o1
movaps [outq + 13*mmsize], tx2_e1
movaps [outq + 15*mmsize], tx2_o1
%endmacro
; Perform a single even/odd split radix combination with loads and stores
; The _4 indicates this is a quarter of the iterations required to complete a full
; combine loop
; %1 must contain len*2, %2 must contain len*4, %3 must contain len*6
%macro SPLIT_RADIX_LOAD_COMBINE_4 8
movaps m8, [rtabq + (%5)*mmsize + %7]
vperm2f128 m9, m9, [itabq - (%5)*mmsize + %8], 0x23
movaps m0, [outq + (0 + %4)*mmsize + %6]
movaps m2, [outq + (2 + %4)*mmsize + %6]
movaps m1, [outq + %1 + (0 + %4)*mmsize + %6]
movaps m3, [outq + %1 + (2 + %4)*mmsize + %6]
movaps m4, [outq + %2 + (0 + %4)*mmsize + %6]
movaps m6, [outq + %2 + (2 + %4)*mmsize + %6]
movaps m5, [outq + %3 + (0 + %4)*mmsize + %6]
movaps m7, [outq + %3 + (2 + %4)*mmsize + %6]
SPLIT_RADIX_COMBINE 0, m0, m1, m2, m3, \
m4, m5, m6, m7, \
m8, m9, \
m10, m11, m12, m13, m14, m15
movaps [outq + (0 + %4)*mmsize + %6], m0
movaps [outq + (2 + %4)*mmsize + %6], m2
movaps [outq + %1 + (0 + %4)*mmsize + %6], m1
movaps [outq + %1 + (2 + %4)*mmsize + %6], m3
movaps [outq + %2 + (0 + %4)*mmsize + %6], m4
movaps [outq + %2 + (2 + %4)*mmsize + %6], m6
movaps [outq + %3 + (0 + %4)*mmsize + %6], m5
movaps [outq + %3 + (2 + %4)*mmsize + %6], m7
%endmacro
%macro SPLIT_RADIX_LOAD_COMBINE_FULL 2-5
%if %0 > 2
%define offset_c %3
%else
%define offset_c 0
%endif
%if %0 > 3
%define offset_r %4
%else
%define offset_r 0
%endif
%if %0 > 4
%define offset_i %5
%else
%define offset_i 0
%endif
SPLIT_RADIX_LOAD_COMBINE_4 %1, 2*%1, %2, 0, 0, offset_c, offset_r, offset_i
SPLIT_RADIX_LOAD_COMBINE_4 %1, 2*%1, %2, 1, 1, offset_c, offset_r, offset_i
SPLIT_RADIX_LOAD_COMBINE_4 %1, 2*%1, %2, 4, 2, offset_c, offset_r, offset_i
SPLIT_RADIX_LOAD_COMBINE_4 %1, 2*%1, %2, 5, 3, offset_c, offset_r, offset_i
%endmacro
; Perform a single even/odd split radix combination with loads, deinterleaves and
; stores. The _2 indicates this is a half of the iterations required to complete
; a full combine+deinterleave loop
; %3 must contain len*2, %4 must contain len*4, %5 must contain len*6
%macro SPLIT_RADIX_COMBINE_DEINTERLEAVE_2 6
movaps m8, [rtabq + (0 + %2)*mmsize]
vperm2f128 m9, m9, [itabq - (0 + %2)*mmsize], 0x23
movaps m0, [outq + (0 + 0 + %1)*mmsize + %6]
movaps m2, [outq + (2 + 0 + %1)*mmsize + %6]
movaps m1, [outq + %3 + (0 + 0 + %1)*mmsize + %6]
movaps m3, [outq + %3 + (2 + 0 + %1)*mmsize + %6]
movaps m4, [outq + %4 + (0 + 0 + %1)*mmsize + %6]
movaps m6, [outq + %4 + (2 + 0 + %1)*mmsize + %6]
movaps m5, [outq + %5 + (0 + 0 + %1)*mmsize + %6]
movaps m7, [outq + %5 + (2 + 0 + %1)*mmsize + %6]
SPLIT_RADIX_COMBINE 0, m0, m1, m2, m3, \
m4, m5, m6, m7, \
m8, m9, \
m10, m11, m12, m13, m14, m15
unpckhpd m10, m0, m2
unpckhpd m11, m1, m3
unpckhpd m12, m4, m6
unpckhpd m13, m5, m7
unpcklpd m0, m0, m2
unpcklpd m1, m1, m3
unpcklpd m4, m4, m6
unpcklpd m5, m5, m7
vextractf128 [outq + (0 + 0 + %1)*mmsize + %6 + 0], m0, 0
vextractf128 [outq + (0 + 0 + %1)*mmsize + %6 + 16], m10, 0
vextractf128 [outq + %3 + (0 + 0 + %1)*mmsize + %6 + 0], m1, 0
vextractf128 [outq + %3 + (0 + 0 + %1)*mmsize + %6 + 16], m11, 0
vextractf128 [outq + %4 + (0 + 0 + %1)*mmsize + %6 + 0], m4, 0
vextractf128 [outq + %4 + (0 + 0 + %1)*mmsize + %6 + 16], m12, 0
vextractf128 [outq + %5 + (0 + 0 + %1)*mmsize + %6 + 0], m5, 0
vextractf128 [outq + %5 + (0 + 0 + %1)*mmsize + %6 + 16], m13, 0
vperm2f128 m10, m10, m0, 0x13
vperm2f128 m11, m11, m1, 0x13
vperm2f128 m12, m12, m4, 0x13
vperm2f128 m13, m13, m5, 0x13
movaps m8, [rtabq + (1 + %2)*mmsize]
vperm2f128 m9, m9, [itabq - (1 + %2)*mmsize], 0x23
movaps m0, [outq + (0 + 1 + %1)*mmsize + %6]
movaps m2, [outq + (2 + 1 + %1)*mmsize + %6]
movaps m1, [outq + %3 + (0 + 1 + %1)*mmsize + %6]
movaps m3, [outq + %3 + (2 + 1 + %1)*mmsize + %6]
movaps [outq + (0 + 1 + %1)*mmsize + %6], m10 ; m0 conflict
movaps [outq + %3 + (0 + 1 + %1)*mmsize + %6], m11 ; m1 conflict
movaps m4, [outq + %4 + (0 + 1 + %1)*mmsize + %6]
movaps m6, [outq + %4 + (2 + 1 + %1)*mmsize + %6]
movaps m5, [outq + %5 + (0 + 1 + %1)*mmsize + %6]
movaps m7, [outq + %5 + (2 + 1 + %1)*mmsize + %6]
movaps [outq + %4 + (0 + 1 + %1)*mmsize + %6], m12 ; m4 conflict
movaps [outq + %5 + (0 + 1 + %1)*mmsize + %6], m13 ; m5 conflict
SPLIT_RADIX_COMBINE 0, m0, m1, m2, m3, \
m4, m5, m6, m7, \
m8, m9, \
m10, m11, m12, m13, m14, m15 ; temporary registers
unpcklpd m8, m0, m2
unpcklpd m9, m1, m3
unpcklpd m10, m4, m6
unpcklpd m11, m5, m7
unpckhpd m0, m0, m2
unpckhpd m1, m1, m3
unpckhpd m4, m4, m6
unpckhpd m5, m5, m7
vextractf128 [outq + (2 + 0 + %1)*mmsize + %6 + 0], m8, 0
vextractf128 [outq + (2 + 0 + %1)*mmsize + %6 + 16], m0, 0
vextractf128 [outq + (2 + 1 + %1)*mmsize + %6 + 0], m8, 1
vextractf128 [outq + (2 + 1 + %1)*mmsize + %6 + 16], m0, 1
vextractf128 [outq + %3 + (2 + 0 + %1)*mmsize + %6 + 0], m9, 0
vextractf128 [outq + %3 + (2 + 0 + %1)*mmsize + %6 + 16], m1, 0
vextractf128 [outq + %3 + (2 + 1 + %1)*mmsize + %6 + 0], m9, 1
vextractf128 [outq + %3 + (2 + 1 + %1)*mmsize + %6 + 16], m1, 1
vextractf128 [outq + %4 + (2 + 0 + %1)*mmsize + %6 + 0], m10, 0
vextractf128 [outq + %4 + (2 + 0 + %1)*mmsize + %6 + 16], m4, 0
vextractf128 [outq + %4 + (2 + 1 + %1)*mmsize + %6 + 0], m10, 1
vextractf128 [outq + %4 + (2 + 1 + %1)*mmsize + %6 + 16], m4, 1
vextractf128 [outq + %5 + (2 + 0 + %1)*mmsize + %6 + 0], m11, 0
vextractf128 [outq + %5 + (2 + 0 + %1)*mmsize + %6 + 16], m5, 0
vextractf128 [outq + %5 + (2 + 1 + %1)*mmsize + %6 + 0], m11, 1
vextractf128 [outq + %5 + (2 + 1 + %1)*mmsize + %6 + 16], m5, 1
%endmacro
%macro SPLIT_RADIX_COMBINE_DEINTERLEAVE_FULL 2-3
%if %0 > 2
%define offset %3
%else
%define offset 0
%endif
SPLIT_RADIX_COMBINE_DEINTERLEAVE_2 0, 0, %1, %1*2, %2, offset
SPLIT_RADIX_COMBINE_DEINTERLEAVE_2 4, 2, %1, %1*2, %2, offset
%endmacro
INIT_XMM sse3
cglobal fft2_float, 4, 4, 2, ctx, out, in, stride
movaps m0, [inq]
FFT2 m0, m1
movaps [outq], m0
RET
%macro FFT4 2
INIT_XMM sse2
cglobal fft4_ %+ %1 %+ _float, 4, 4, 3, ctx, out, in, stride
movaps m0, [inq + 0*mmsize]
movaps m1, [inq + 1*mmsize]
%if %2
shufps m2, m1, m0, q3210
shufps m0, m0, m1, q3210
movaps m1, m2
%endif
FFT4 m0, m1, m2
unpcklpd m2, m0, m1
unpckhpd m0, m0, m1
movaps [outq + 0*mmsize], m2
movaps [outq + 1*mmsize], m0
RET
%endmacro
FFT4 fwd, 0
FFT4 inv, 1
INIT_XMM sse3
cglobal fft8_float, 4, 4, 6, ctx, out, in, tmp
mov ctxq, [ctxq + AVTXContext.revtab]
LOAD64_LUT m0, inq, ctxq, (mmsize/2)*0, tmpq
LOAD64_LUT m1, inq, ctxq, (mmsize/2)*1, tmpq
LOAD64_LUT m2, inq, ctxq, (mmsize/2)*2, tmpq
LOAD64_LUT m3, inq, ctxq, (mmsize/2)*3, tmpq
FFT8 m0, m1, m2, m3, m4, m5
unpcklpd m4, m0, m3
unpcklpd m5, m1, m2
unpckhpd m0, m0, m3
unpckhpd m1, m1, m2
movups [outq + 0*mmsize], m4
movups [outq + 1*mmsize], m0
movups [outq + 2*mmsize], m5
movups [outq + 3*mmsize], m1
RET
INIT_YMM avx
cglobal fft8_float, 4, 4, 4, ctx, out, in, tmp
mov ctxq, [ctxq + AVTXContext.revtab]
LOAD64_LUT m0, inq, ctxq, (mmsize/2)*0, tmpq, m2
LOAD64_LUT m1, inq, ctxq, (mmsize/2)*1, tmpq, m3
FFT8_AVX m0, m1, m2, m3
unpcklpd m2, m0, m1
unpckhpd m0, m0, m1
; Around 2% faster than 2x vperm2f128 + 2x movapd
vextractf128 [outq + 16*0], m2, 0
vextractf128 [outq + 16*1], m0, 0
vextractf128 [outq + 16*2], m2, 1
vextractf128 [outq + 16*3], m0, 1
RET
%macro FFT16_FN 1
INIT_YMM %1
cglobal fft16_float, 4, 4, 8, ctx, out, in, tmp
mov ctxq, [ctxq + AVTXContext.revtab]
LOAD64_LUT m0, inq, ctxq, (mmsize/2)*0, tmpq, m4
LOAD64_LUT m1, inq, ctxq, (mmsize/2)*1, tmpq, m5
LOAD64_LUT m2, inq, ctxq, (mmsize/2)*2, tmpq, m6
LOAD64_LUT m3, inq, ctxq, (mmsize/2)*3, tmpq, m7
FFT16 m0, m1, m2, m3, m4, m5, m6, m7
unpcklpd m5, m1, m3
unpcklpd m4, m0, m2
unpckhpd m1, m1, m3
unpckhpd m0, m0, m2
vextractf128 [outq + 16*0], m4, 0
vextractf128 [outq + 16*1], m0, 0
vextractf128 [outq + 16*2], m4, 1
vextractf128 [outq + 16*3], m0, 1
vextractf128 [outq + 16*4], m5, 0
vextractf128 [outq + 16*5], m1, 0
vextractf128 [outq + 16*6], m5, 1
vextractf128 [outq + 16*7], m1, 1
RET
%endmacro
FFT16_FN avx
FFT16_FN fma3
%macro FFT32_FN 1
INIT_YMM %1
cglobal fft32_float, 4, 4, 16, ctx, out, in, tmp
mov ctxq, [ctxq + AVTXContext.revtab]
LOAD64_LUT m4, inq, ctxq, (mmsize/2)*4, tmpq, m8, m9
LOAD64_LUT m5, inq, ctxq, (mmsize/2)*5, tmpq, m10, m11
LOAD64_LUT m6, inq, ctxq, (mmsize/2)*6, tmpq, m12, m13
LOAD64_LUT m7, inq, ctxq, (mmsize/2)*7, tmpq, m14, m15
FFT8 m4, m5, m6, m7, m8, m9
LOAD64_LUT m0, inq, ctxq, (mmsize/2)*0, tmpq, m8, m9
LOAD64_LUT m1, inq, ctxq, (mmsize/2)*1, tmpq, m10, m11
LOAD64_LUT m2, inq, ctxq, (mmsize/2)*2, tmpq, m12, m13
LOAD64_LUT m3, inq, ctxq, (mmsize/2)*3, tmpq, m14, m15
movaps m8, [cos_32_float]
vperm2f128 m9, m9, [cos_32_float + 4*8 - 4*7], 0x23
FFT16 m0, m1, m2, m3, m10, m11, m12, m13
SPLIT_RADIX_COMBINE 1, m0, m1, m2, m3, m4, m5, m6, m7, m8, m9, \
m10, m11, m12, m13, m14, m15 ; temporary registers
unpcklpd m9, m1, m3
unpcklpd m10, m5, m7
unpcklpd m8, m0, m2
unpcklpd m11, m4, m6
unpckhpd m1, m1, m3
unpckhpd m5, m5, m7
unpckhpd m0, m0, m2
unpckhpd m4, m4, m6
vextractf128 [outq + 16* 0], m8, 0
vextractf128 [outq + 16* 1], m0, 0
vextractf128 [outq + 16* 2], m8, 1
vextractf128 [outq + 16* 3], m0, 1
vextractf128 [outq + 16* 4], m9, 0
vextractf128 [outq + 16* 5], m1, 0
vextractf128 [outq + 16* 6], m9, 1
vextractf128 [outq + 16* 7], m1, 1
vextractf128 [outq + 16* 8], m11, 0
vextractf128 [outq + 16* 9], m4, 0
vextractf128 [outq + 16*10], m11, 1
vextractf128 [outq + 16*11], m4, 1
vextractf128 [outq + 16*12], m10, 0
vextractf128 [outq + 16*13], m5, 0
vextractf128 [outq + 16*14], m10, 1
vextractf128 [outq + 16*15], m5, 1
RET
%endmacro
%if ARCH_X86_64
FFT32_FN avx
FFT32_FN fma3
%endif
%macro FFT_SPLIT_RADIX_DEF 1-2
ALIGN 16
.%1 %+ pt:
PUSH lenq
mov lenq, (%1/4)
add outq, (%1*4) - (%1/1)
call .32pt
add outq, (%1*2) - (%1/2) ; the synth loops also increment outq
call .32pt
POP lenq
sub outq, (%1*4) + (%1*2) + (%1/2)
lea rtabq, [cos_ %+ %1 %+ _float]
lea itabq, [cos_ %+ %1 %+ _float + %1 - 4*7]
%if %0 > 1
cmp tgtq, %1
je .deinterleave
mov tmpq, %1
.synth_ %+ %1:
SPLIT_RADIX_LOAD_COMBINE_FULL 2*%1, 6*%1, 0, 0, 0
add outq, 8*mmsize
add rtabq, 4*mmsize
sub itabq, 4*mmsize
sub tmpq, 4*mmsize
jg .synth_ %+ %1
cmp lenq, %1
jg %2 ; can't do math here, nasm doesn't get it
ret
%endif
%endmacro
%macro FFT_SPLIT_RADIX_FN 1
INIT_YMM %1
cglobal split_radix_fft_float, 4, 8, 16, 272, lut, out, in, len, tmp, itab, rtab, tgt
movsxd lenq, dword [lutq + AVTXContext.m]
mov lutq, [lutq + AVTXContext.revtab]
mov tgtq, lenq
; Bottom-most/32-point transform ===============================================
ALIGN 16
.32pt:
LOAD64_LUT m4, inq, lutq, (mmsize/2)*4, tmpq, m8, m9
LOAD64_LUT m5, inq, lutq, (mmsize/2)*5, tmpq, m10, m11
LOAD64_LUT m6, inq, lutq, (mmsize/2)*6, tmpq, m12, m13
LOAD64_LUT m7, inq, lutq, (mmsize/2)*7, tmpq, m14, m15
FFT8 m4, m5, m6, m7, m8, m9
LOAD64_LUT m0, inq, lutq, (mmsize/2)*0, tmpq, m8, m9
LOAD64_LUT m1, inq, lutq, (mmsize/2)*1, tmpq, m10, m11
LOAD64_LUT m2, inq, lutq, (mmsize/2)*2, tmpq, m12, m13
LOAD64_LUT m3, inq, lutq, (mmsize/2)*3, tmpq, m14, m15
movaps m8, [cos_32_float]
vperm2f128 m9, m9, [cos_32_float + 32 - 4*7], 0x23
FFT16 m0, m1, m2, m3, m10, m11, m12, m13
SPLIT_RADIX_COMBINE 1, m0, m1, m2, m3, m4, m5, m6, m7, m8, m9, \
m10, m11, m12, m13, m14, m15 ; temporary registers
movaps [outq + 1*mmsize], m1
movaps [outq + 3*mmsize], m3
movaps [outq + 5*mmsize], m5
movaps [outq + 7*mmsize], m7
add lutq, (mmsize/2)*8
cmp lenq, 32
jg .64pt
movaps [outq + 0*mmsize], m0
movaps [outq + 2*mmsize], m2
movaps [outq + 4*mmsize], m4
movaps [outq + 6*mmsize], m6
ret
; 64-point transform ===========================================================
ALIGN 16
.64pt:
; Helper defines, these make it easier to track what's happening
%define tx1_e0 m4
%define tx1_e1 m5
%define tx1_o0 m6
%define tx1_o1 m7
%define tx2_e0 m8
%define tx2_e1 m9
%define tx2_o0 m10
%define tx2_o1 m11
%define tw_e m12
%define tw_o m13
%define tmp1 m14
%define tmp2 m15
SWAP m4, m1
SWAP m6, m3
LOAD64_LUT tx1_e0, inq, lutq, (mmsize/2)*0, tmpq, tw_e, tw_o
LOAD64_LUT tx1_e1, inq, lutq, (mmsize/2)*1, tmpq, tmp1, tmp2
LOAD64_LUT tx1_o0, inq, lutq, (mmsize/2)*2, tmpq, tw_e, tw_o
LOAD64_LUT tx1_o1, inq, lutq, (mmsize/2)*3, tmpq, tmp1, tmp2
FFT16 tx1_e0, tx1_e1, tx1_o0, tx1_o1, tw_e, tw_o, tx2_o0, tx2_o1
LOAD64_LUT tx2_e0, inq, lutq, (mmsize/2)*4, tmpq, tmp1, tmp2
LOAD64_LUT tx2_e1, inq, lutq, (mmsize/2)*5, tmpq, tw_e, tw_o
LOAD64_LUT tx2_o0, inq, lutq, (mmsize/2)*6, tmpq, tmp1, tmp2
LOAD64_LUT tx2_o1, inq, lutq, (mmsize/2)*7, tmpq, tw_e, tw_o
FFT16 tx2_e0, tx2_e1, tx2_o0, tx2_o1, tmp1, tmp2, tw_e, tw_o
movaps tw_e, [cos_64_float]
vperm2f128 tw_o, tw_o, [cos_64_float + 64 - 4*7], 0x23
add lutq, (mmsize/2)*8
cmp tgtq, 64
je .deinterleave
SPLIT_RADIX_COMBINE_64
cmp lenq, 64
jg .128pt
ret
; 128-point transform ==========================================================
ALIGN 16
.128pt:
PUSH lenq
mov lenq, 32
add outq, 16*mmsize
call .32pt
add outq, 8*mmsize
call .32pt
POP lenq
sub outq, 24*mmsize
lea rtabq, [cos_128_float]
lea itabq, [cos_128_float + 128 - 4*7]
cmp tgtq, 128
je .deinterleave
SPLIT_RADIX_LOAD_COMBINE_FULL 2*128, 6*128
cmp lenq, 128
jg .256pt
ret
; 256-point transform ==========================================================
ALIGN 16
.256pt:
PUSH lenq
mov lenq, 64
add outq, 32*mmsize
call .32pt
add outq, 16*mmsize
call .32pt
POP lenq
sub outq, 48*mmsize
lea rtabq, [cos_256_float]
lea itabq, [cos_256_float + 256 - 4*7]
cmp tgtq, 256
je .deinterleave
SPLIT_RADIX_LOAD_COMBINE_FULL 2*256, 6*256
SPLIT_RADIX_LOAD_COMBINE_FULL 2*256, 6*256, 8*mmsize, 4*mmsize, -4*mmsize
cmp lenq, 256
jg .512pt
ret
; 512-point transform ==========================================================
ALIGN 16
.512pt:
PUSH lenq
mov lenq, 128
add outq, 64*mmsize
call .32pt
add outq, 32*mmsize
call .32pt
POP lenq
sub outq, 96*mmsize
lea rtabq, [cos_512_float]
lea itabq, [cos_512_float + 512 - 4*7]
cmp tgtq, 512
je .deinterleave
mov tmpq, 4
.synth_512:
SPLIT_RADIX_LOAD_COMBINE_FULL 2*512, 6*512
add outq, 8*mmsize
add rtabq, 4*mmsize
sub itabq, 4*mmsize
sub tmpq, 1
jg .synth_512
cmp lenq, 512
jg .1024pt
ret
; 1024-point transform ==========================================================
ALIGN 16
.1024pt:
PUSH lenq
mov lenq, 256
add outq, 96*mmsize
call .32pt
add outq, 64*mmsize
call .32pt
POP lenq
sub outq, 192*mmsize
lea rtabq, [cos_1024_float]
lea itabq, [cos_1024_float + 1024 - 4*7]
cmp tgtq, 1024
je .deinterleave
mov tmpq, 8
.synth_1024:
SPLIT_RADIX_LOAD_COMBINE_FULL 2*1024, 6*1024
add outq, 8*mmsize
add rtabq, 4*mmsize
sub itabq, 4*mmsize
sub tmpq, 1
jg .synth_1024
cmp lenq, 1024
jg .2048pt
ret
; 2048 to 131072-point transforms ==============================================
FFT_SPLIT_RADIX_DEF 2048, .4096pt
FFT_SPLIT_RADIX_DEF 4096, .8192pt
FFT_SPLIT_RADIX_DEF 8192, .16384pt
FFT_SPLIT_RADIX_DEF 16384, .32768pt
FFT_SPLIT_RADIX_DEF 32768, .65536pt
FFT_SPLIT_RADIX_DEF 65536, .131072pt
FFT_SPLIT_RADIX_DEF 131072
;===============================================================================
; Final synthesis + deinterleaving code
;===============================================================================
.deinterleave:
cmp lenq, 64
je .64pt_deint
imul tmpq, lenq, 2
lea lutq, [4*lenq + tmpq]
.synth_deinterleave:
SPLIT_RADIX_COMBINE_DEINTERLEAVE_FULL tmpq, lutq
add outq, 8*mmsize
add rtabq, 4*mmsize
sub itabq, 4*mmsize
sub lenq, 4*mmsize
jg .synth_deinterleave
RET
; 64-point deinterleave which only has to load 4 registers =====================
.64pt_deint:
SPLIT_RADIX_COMBINE_LITE 1, m0, m1, tx1_e0, tx2_e0, tw_e, tw_o, tmp1, tmp2
SPLIT_RADIX_COMBINE_HALF 0, m2, m3, tx1_o0, tx2_o0, tw_e, tw_o, tmp1, tmp2, tw_e
unpcklpd tmp1, m0, m2
unpcklpd tmp2, m1, m3
unpcklpd tw_o, tx1_e0, tx1_o0
unpcklpd tw_e, tx2_e0, tx2_o0
unpckhpd m0, m0, m2
unpckhpd m1, m1, m3
unpckhpd tx1_e0, tx1_e0, tx1_o0
unpckhpd tx2_e0, tx2_e0, tx2_o0
vextractf128 [outq + 0*mmsize + 0], tmp1, 0
vextractf128 [outq + 0*mmsize + 16], m0, 0
vextractf128 [outq + 4*mmsize + 0], tmp2, 0
vextractf128 [outq + 4*mmsize + 16], m1, 0
vextractf128 [outq + 8*mmsize + 0], tw_o, 0
vextractf128 [outq + 8*mmsize + 16], tx1_e0, 0
vextractf128 [outq + 9*mmsize + 0], tw_o, 1
vextractf128 [outq + 9*mmsize + 16], tx1_e0, 1
vperm2f128 tmp1, tmp1, m0, 0x31
vperm2f128 tmp2, tmp2, m1, 0x31
vextractf128 [outq + 12*mmsize + 0], tw_e, 0
vextractf128 [outq + 12*mmsize + 16], tx2_e0, 0
vextractf128 [outq + 13*mmsize + 0], tw_e, 1
vextractf128 [outq + 13*mmsize + 16], tx2_e0, 1
movaps tw_e, [cos_64_float + mmsize]
vperm2f128 tw_o, tw_o, [cos_64_float + 64 - 4*7 - mmsize], 0x23
movaps m0, [outq + 1*mmsize]
movaps m1, [outq + 3*mmsize]
movaps m2, [outq + 5*mmsize]
movaps m3, [outq + 7*mmsize]
movaps [outq + 1*mmsize], tmp1
movaps [outq + 5*mmsize], tmp2
SPLIT_RADIX_COMBINE 0, m0, m2, m1, m3, tx1_e1, tx2_e1, tx1_o1, tx2_o1, tw_e, tw_o, \
tmp1, tmp2, tx2_o0, tx1_o0, tx2_e0, tx1_e0 ; temporary registers
unpcklpd tmp1, m0, m1
unpcklpd tmp2, m2, m3
unpcklpd tw_e, tx1_e1, tx1_o1
unpcklpd tw_o, tx2_e1, tx2_o1
unpckhpd m0, m0, m1
unpckhpd m2, m2, m3
unpckhpd tx1_e1, tx1_e1, tx1_o1
unpckhpd tx2_e1, tx2_e1, tx2_o1
vextractf128 [outq + 2*mmsize + 0], tmp1, 0
vextractf128 [outq + 2*mmsize + 16], m0, 0
vextractf128 [outq + 3*mmsize + 0], tmp1, 1
vextractf128 [outq + 3*mmsize + 16], m0, 1
vextractf128 [outq + 6*mmsize + 0], tmp2, 0
vextractf128 [outq + 6*mmsize + 16], m2, 0
vextractf128 [outq + 7*mmsize + 0], tmp2, 1
vextractf128 [outq + 7*mmsize + 16], m2, 1
vextractf128 [outq + 10*mmsize + 0], tw_e, 0
vextractf128 [outq + 10*mmsize + 16], tx1_e1, 0
vextractf128 [outq + 11*mmsize + 0], tw_e, 1
vextractf128 [outq + 11*mmsize + 16], tx1_e1, 1
vextractf128 [outq + 14*mmsize + 0], tw_o, 0
vextractf128 [outq + 14*mmsize + 16], tx2_e1, 0
vextractf128 [outq + 15*mmsize + 0], tw_o, 1
vextractf128 [outq + 15*mmsize + 16], tx2_e1, 1
RET
%endmacro
%if ARCH_X86_64
FFT_SPLIT_RADIX_FN avx
%if HAVE_AVX2_EXTERNAL
FFT_SPLIT_RADIX_FN avx2
%endif
%endif
|