-
Notifications
You must be signed in to change notification settings - Fork 0
/
field_amd64.s
1085 lines (1013 loc) · 17.3 KB
/
field_amd64.s
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
// Code generated by command: go run asm.go -out ../field_amd64.s -pkg curve1174. DO NOT EDIT.
// +build !curve1174_purego
#include "textflag.h"
// func mul(res *FieldElement, x *FieldElement, y *FieldElement)
// Requires: ADX, BMI2
TEXT ·mul(SB), NOSPLIT, $0-24
CMPB ·cpuSupported+0(SB), $0x01
JNE mulNoAdx
MOVQ x+8(FP), R11
MOVQ y+16(FP), R12
// Fill all regs
MOVQ 24(R11), DX
MULXQ 8(R12), DI, R8
MULXQ 24(R12), R9, R10
MOVQ (R11), DX
MULXQ (R12), CX, BX
MULXQ 16(R12), BP, SI
XORQ AX, AX
// First 1-5 chain
// x[0]*y[1]
MULXQ 8(R12), R13, DX
ADCXQ R13, BX
ADOXQ DX, BP
// x[2]*y[0]
MOVQ 16(R11), DX
MULXQ (R12), R14, R13
ADCXQ R14, BP
ADOXQ R13, SI
// x[2]*y[1]
MULXQ 8(R12), R14, R13
ADCXQ R14, SI
ADOXQ R13, DI
// x[2]*y[2]
MULXQ 16(R12), R14, R13
ADCXQ R14, DI
ADOXQ R13, R8
// x[2]*y[3]
MULXQ 24(R12), R13, DX
ADCXQ R13, R8
ADOXQ DX, R9
// Carry 6-8
ADCXQ AX, R9
ADOXQ AX, R10
ADCXQ AX, R10
// Second 1-5 chain
// x[1]*y[0]
MOVQ 8(R11), DX
MULXQ (R12), R14, R13
ADCXQ R14, BX
ADOXQ R13, BP
// x[1]*y[1]
MULXQ 8(R12), R14, R13
ADCXQ R14, BP
ADOXQ R13, SI
// x[1]*y[2]
MULXQ 16(R12), R14, R13
ADCXQ R14, SI
ADOXQ R13, DI
// x[1]*y[3]
MULXQ 24(R12), R13, DX
ADCXQ R13, DI
ADOXQ DX, R8
// x[3]*y[2]
MOVQ 24(R11), DX
MULXQ 16(R12), R14, R13
ADCXQ R14, R8
ADOXQ R13, R9
// Carry 6-8
ADCXQ AX, R9
ADOXQ AX, R10
ADCXQ AX, R10
// x[3]*y[0]
MULXQ (R12), R13, DX
ADCXQ R13, SI
ADOXQ DX, DI
// Carry 4-8
ADCXQ AX, DI
ADOXQ AX, R8
ADCXQ AX, R8
ADOXQ AX, R9
ADCXQ AX, R9
ADOXQ AX, R10
ADCXQ AX, R10
// x[0]*y[3]
MOVQ (R11), DX
MULXQ 24(R12), R11, DX
ADCXQ R11, SI
ADOXQ DX, DI
// Carry 4-8
ADCXQ AX, DI
ADOXQ AX, R8
ADCXQ AX, R8
ADOXQ AX, R9
ADCXQ AX, R9
ADOXQ AX, R10
ADCXQ AX, R10
MOVQ R10, AX
SHRQ $0x3b, AX
SHLQ $0x05, R9, R10
SHLQ $0x05, R8, R9
SHLQ $0x05, DI, R8
SHLQ $0x05, SI, DI
MOVQ $0x07ffffffffffffff, R11
ANDQ R11, SI
XORQ DX, DX
ADDQ DI, CX
ADCQ R8, BX
ADCQ R9, BP
ADCQ R10, SI
ADCQ AX, DX
SHLQ $0x03, R10, AX
SHLQ $0x03, R9, R10
SHLQ $0x03, R8, R9
SHLQ $0x03, DI, R8
SHLQ $0x03, DI
ADDQ DI, CX
ADCQ R8, BX
ADCQ R9, BP
ADCQ R10, SI
ADCQ AX, DX
SHLQ $0x05, SI, DX
ANDQ R11, SI
LEAQ (DX)(DX*8), DX
ADDQ DX, CX
ADCQ $0x00, BX
ADCQ $0x00, BP
ADCQ $0x00, SI
// Store results
MOVQ res+0(FP), AX
MOVQ CX, (AX)
MOVQ BX, 8(AX)
MOVQ BP, 16(AX)
MOVQ SI, 24(AX)
RET
mulNoAdx:
MOVQ x+8(FP), R11
MOVQ res+0(FP), AX
MOVQ y+16(FP), R12
MOVQ (R11), AX
MULQ (R12)
MOVQ AX, CX
MOVQ DX, BX
MOVQ (R11), AX
MULQ 16(R12)
MOVQ AX, BP
MOVQ DX, SI
MOVQ 24(R11), AX
MULQ 8(R12)
MOVQ AX, DI
MOVQ DX, R8
MOVQ 24(R11), AX
MULQ 24(R12)
MOVQ AX, R9
MOVQ DX, R10
MOVB $0x01, R13
MOVQ 8(R11), AX
MULQ (R12)
CMPB R13, $0x01
ADCQ AX, BX
ADCQ DX, BP
SETCC R13
MOVQ (R11), AX
MULQ 24(R12)
CMPB R13, $0x01
ADCQ AX, SI
ADCQ DX, DI
SETCC R13
MOVQ 16(R11), AX
MULQ 24(R12)
CMPB R13, $0x01
ADCQ AX, R8
ADCQ DX, R9
SETCC R13
ADCQ $0x00, R10
MOVB $0x01, R13
MOVQ (R11), AX
MULQ 8(R12)
CMPB R13, $0x01
ADCQ AX, BX
ADCQ DX, BP
SETCC R13
MOVQ 8(R11), AX
MULQ 16(R12)
CMPB R13, $0x01
ADCQ AX, SI
ADCQ DX, DI
SETCC R13
MOVQ 24(R11), AX
MULQ 16(R12)
CMPB R13, $0x01
ADCQ AX, R8
ADCQ DX, R9
SETCC R13
ADCQ $0x00, R10
MOVB $0x01, R13
MOVQ 8(R11), AX
MULQ 8(R12)
CMPB R13, $0x01
ADCQ AX, BP
ADCQ DX, SI
SETCC R13
MOVQ 8(R11), AX
MULQ 24(R12)
CMPB R13, $0x01
ADCQ AX, DI
ADCQ DX, R8
SETCC R13
ADCQ $0x00, R9
ADCQ $0x00, R10
MOVB $0x01, R13
MOVQ 16(R11), AX
MULQ (R12)
CMPB R13, $0x01
ADCQ AX, BP
ADCQ DX, SI
SETCC R13
MOVQ 16(R11), AX
MULQ 16(R12)
CMPB R13, $0x01
ADCQ AX, DI
ADCQ DX, R8
SETCC R13
ADCQ $0x00, R9
ADCQ $0x00, R10
MOVB $0x01, R13
MOVQ 16(R11), AX
MULQ 8(R12)
CMPB R13, $0x01
ADCQ AX, SI
ADCQ DX, DI
SETCC R13
ADCQ $0x00, R8
ADCQ $0x00, R9
ADCQ $0x00, R10
MOVB $0x01, R13
MOVQ 24(R11), AX
MULQ (R12)
CMPB R13, $0x01
ADCQ AX, SI
ADCQ DX, DI
SETCC R13
ADCQ $0x00, R8
ADCQ $0x00, R9
ADCQ $0x00, R10
MOVQ R10, AX
SHRQ $0x3b, AX
SHLQ $0x05, R9, R10
SHLQ $0x05, R8, R9
SHLQ $0x05, DI, R8
SHLQ $0x05, SI, DI
MOVQ $0x07ffffffffffffff, R11
ANDQ R11, SI
XORQ DX, DX
ADDQ DI, CX
ADCQ R8, BX
ADCQ R9, BP
ADCQ R10, SI
ADCQ AX, DX
SHLQ $0x03, R10, AX
SHLQ $0x03, R9, R10
SHLQ $0x03, R8, R9
SHLQ $0x03, DI, R8
SHLQ $0x03, DI
ADDQ DI, CX
ADCQ R8, BX
ADCQ R9, BP
ADCQ R10, SI
ADCQ AX, DX
SHLQ $0x05, SI, DX
ANDQ R11, SI
LEAQ (DX)(DX*8), DX
ADDQ DX, CX
ADCQ $0x00, BX
ADCQ $0x00, BP
ADCQ $0x00, SI
// Store results
MOVQ res+0(FP), AX
MOVQ CX, (AX)
MOVQ BX, 8(AX)
MOVQ BP, 16(AX)
MOVQ SI, 24(AX)
RET
// func mulNoAdx(res *FieldElement, x *FieldElement, y *FieldElement)
TEXT ·mulNoAdx(SB), NOSPLIT, $0-24
MOVQ x+8(FP), R11
MOVQ res+0(FP), AX
MOVQ y+16(FP), R12
MOVQ (R11), AX
MULQ (R12)
MOVQ AX, CX
MOVQ DX, BX
MOVQ (R11), AX
MULQ 16(R12)
MOVQ AX, BP
MOVQ DX, SI
MOVQ 24(R11), AX
MULQ 8(R12)
MOVQ AX, DI
MOVQ DX, R8
MOVQ 24(R11), AX
MULQ 24(R12)
MOVQ AX, R9
MOVQ DX, R10
MOVB $0x01, R13
MOVQ 8(R11), AX
MULQ (R12)
CMPB R13, $0x01
ADCQ AX, BX
ADCQ DX, BP
SETCC R13
MOVQ (R11), AX
MULQ 24(R12)
CMPB R13, $0x01
ADCQ AX, SI
ADCQ DX, DI
SETCC R13
MOVQ 16(R11), AX
MULQ 24(R12)
CMPB R13, $0x01
ADCQ AX, R8
ADCQ DX, R9
SETCC R13
ADCQ $0x00, R10
MOVB $0x01, R13
MOVQ (R11), AX
MULQ 8(R12)
CMPB R13, $0x01
ADCQ AX, BX
ADCQ DX, BP
SETCC R13
MOVQ 8(R11), AX
MULQ 16(R12)
CMPB R13, $0x01
ADCQ AX, SI
ADCQ DX, DI
SETCC R13
MOVQ 24(R11), AX
MULQ 16(R12)
CMPB R13, $0x01
ADCQ AX, R8
ADCQ DX, R9
SETCC R13
ADCQ $0x00, R10
MOVB $0x01, R13
MOVQ 8(R11), AX
MULQ 8(R12)
CMPB R13, $0x01
ADCQ AX, BP
ADCQ DX, SI
SETCC R13
MOVQ 8(R11), AX
MULQ 24(R12)
CMPB R13, $0x01
ADCQ AX, DI
ADCQ DX, R8
SETCC R13
ADCQ $0x00, R9
ADCQ $0x00, R10
MOVB $0x01, R13
MOVQ 16(R11), AX
MULQ (R12)
CMPB R13, $0x01
ADCQ AX, BP
ADCQ DX, SI
SETCC R13
MOVQ 16(R11), AX
MULQ 16(R12)
CMPB R13, $0x01
ADCQ AX, DI
ADCQ DX, R8
SETCC R13
ADCQ $0x00, R9
ADCQ $0x00, R10
MOVB $0x01, R13
MOVQ 16(R11), AX
MULQ 8(R12)
CMPB R13, $0x01
ADCQ AX, SI
ADCQ DX, DI
SETCC R13
ADCQ $0x00, R8
ADCQ $0x00, R9
ADCQ $0x00, R10
MOVB $0x01, R13
MOVQ 24(R11), AX
MULQ (R12)
CMPB R13, $0x01
ADCQ AX, SI
ADCQ DX, DI
SETCC R13
ADCQ $0x00, R8
ADCQ $0x00, R9
ADCQ $0x00, R10
MOVQ R10, AX
SHRQ $0x3b, AX
SHLQ $0x05, R9, R10
SHLQ $0x05, R8, R9
SHLQ $0x05, DI, R8
SHLQ $0x05, SI, DI
MOVQ $0x07ffffffffffffff, R11
ANDQ R11, SI
XORQ DX, DX
ADDQ DI, CX
ADCQ R8, BX
ADCQ R9, BP
ADCQ R10, SI
ADCQ AX, DX
SHLQ $0x03, R10, AX
SHLQ $0x03, R9, R10
SHLQ $0x03, R8, R9
SHLQ $0x03, DI, R8
SHLQ $0x03, DI
ADDQ DI, CX
ADCQ R8, BX
ADCQ R9, BP
ADCQ R10, SI
ADCQ AX, DX
SHLQ $0x05, SI, DX
ANDQ R11, SI
LEAQ (DX)(DX*8), DX
ADDQ DX, CX
ADCQ $0x00, BX
ADCQ $0x00, BP
ADCQ $0x00, SI
// Store results
MOVQ res+0(FP), AX
MOVQ CX, (AX)
MOVQ BX, 8(AX)
MOVQ BP, 16(AX)
MOVQ SI, 24(AX)
RET
// func mod(res *FieldElement, x *FieldElement)
// Requires: CMOV
TEXT ·mod(SB), NOSPLIT, $0-16
MOVQ x+8(FP), BX
MOVQ (BX), AX
MOVQ 8(BX), CX
MOVQ 16(BX), DX
MOVQ 24(BX), BX
MOVQ BX, R8
SHRQ $0x3b, R8
MOVQ $0x07ffffffffffffff, R9
ANDQ R9, BX
// regs[7] = regs[7]*9
LEAQ (R8)(R8*8), R8
ADDQ R8, AX
ADCQ $0x00, CX
ADCQ $0x00, DX
ADCQ $0x00, BX
MOVQ $0xffffffffffffffff, R10
MOVQ $0xfffffffffffffff7, R11
MOVQ AX, BP
MOVQ CX, SI
MOVQ DX, DI
MOVQ BX, R8
SUBQ R11, BP
SBBQ R10, SI
SBBQ R10, DI
SBBQ R9, R8
CMOVQCC BP, AX
CMOVQCC SI, CX
CMOVQCC DI, DX
CMOVQCC R8, BX
// Store results
MOVQ res+0(FP), BP
MOVQ AX, (BP)
MOVQ CX, 8(BP)
MOVQ DX, 16(BP)
MOVQ BX, 24(BP)
RET
// func mul2(res *FieldElement, x *FieldElement)
TEXT ·mul2(SB), NOSPLIT, $0-16
MOVQ x+8(FP), BX
MOVQ (BX), AX
MOVQ 8(BX), CX
MOVQ 16(BX), DX
MOVQ 24(BX), BX
ADDQ AX, AX
ADCQ CX, CX
ADCQ DX, DX
ADCQ BX, BX
SBBQ BP, BP
ANDL $0x00000120, BP
ADDQ BP, AX
ADCQ $0x00, CX
ADCQ $0x00, DX
ADCQ $0x00, BX
SBBQ BP, BP
ANDL $0x00000120, BP
ADDQ BP, AX
// Store results
MOVQ res+0(FP), BP
MOVQ AX, (BP)
MOVQ CX, 8(BP)
MOVQ DX, 16(BP)
MOVQ BX, 24(BP)
RET
// func div2(res *FieldElement, x *FieldElement)
TEXT ·div2(SB), NOSPLIT, $0-16
MOVQ x+8(FP), BX
MOVQ res+0(FP), AX
MOVQ (BX), AX
MOVQ 8(BX), CX
MOVQ 16(BX), DX
MOVQ 24(BX), BX
SHRQ $0x01, CX, AX
SHRQ $0x01, DX, CX
SHRQ $0x01, BX, DX
SARQ $0x01, BX
// Store results
MOVQ res+0(FP), BP
MOVQ AX, (BP)
MOVQ CX, 8(BP)
MOVQ DX, 16(BP)
MOVQ BX, 24(BP)
RET
// func sub(res *FieldElement, x *FieldElement, y *FieldElement)
TEXT ·sub(SB), NOSPLIT, $0-24
MOVQ x+8(FP), BX
MOVQ y+16(FP), BP
MOVQ (BX), AX
MOVQ 8(BX), CX
MOVQ 16(BX), DX
MOVQ 24(BX), BX
SUBQ (BP), AX
SBBQ 8(BP), CX
SBBQ 16(BP), DX
SBBQ 24(BP), BX
SBBQ BP, BP
ANDL $0x00000120, BP
SUBQ BP, AX
SBBQ $0x00, CX
SBBQ $0x00, DX
SBBQ $0x00, BX
SBBQ BP, BP
ANDL $0x00000120, BP
SUBQ BP, AX
// Store results
MOVQ res+0(FP), BP
MOVQ AX, (BP)
MOVQ CX, 8(BP)
MOVQ DX, 16(BP)
MOVQ BX, 24(BP)
RET
// func add(res *FieldElement, x *FieldElement, y *FieldElement)
TEXT ·add(SB), NOSPLIT, $0-24
MOVQ x+8(FP), BX
MOVQ y+16(FP), BP
MOVQ res+0(FP), AX
MOVQ (BX), AX
MOVQ 8(BX), CX
MOVQ 16(BX), DX
MOVQ 24(BX), BX
ADDQ (BP), AX
ADCQ 8(BP), CX
ADCQ 16(BP), DX
ADCQ 24(BP), BX
SBBQ BP, BP
ANDL $0x00000120, BP
ADDQ BP, AX
ADCQ $0x00, CX
ADCQ $0x00, DX
ADCQ $0x00, BX
SBBQ BP, BP
ANDL $0x00000120, BP
ADDQ BP, AX
// Store results
MOVQ res+0(FP), BP
MOVQ AX, (BP)
MOVQ CX, 8(BP)
MOVQ DX, 16(BP)
MOVQ BX, 24(BP)
RET
// func mulD(res *FieldElement, x *FieldElement)
// Requires: ADX, BMI2
TEXT ·mulD(SB), NOSPLIT, $0-16
MOVQ x+8(FP), R11
MOVQ res+0(FP), R12
XORQ R10, R10
XORQ BX, BX
XORQ BP, BP
XORQ SI, SI
XORQ DI, DI
XORQ R8, R8
XORQ R9, R9
MOVQ $0x0000000000000496, DX
MULXQ (R11), AX, CX
// x[0]*y[1]
MULXQ 8(R11), R14, R13
ADCXQ R14, CX
ADOXQ R13, BX
// x[0]*y[2]
MULXQ 16(R11), R14, R13
ADCXQ R14, BX
ADOXQ R13, BP
// x[0]*y[3]
MULXQ 24(R11), R11, DX
ADCXQ R11, BP
ADOXQ DX, SI
// Carry 4-6
ADCXQ R10, SI
ADOXQ R10, DI
ADCXQ R10, DI
MOVQ R9, DX
SHRQ $0x3b, DX
SHLQ $0x05, R8, R9
SHLQ $0x05, DI, R8
SHLQ $0x05, SI, DI
SHLQ $0x05, BP, SI
MOVQ $0x07ffffffffffffff, R11
ANDQ R11, BP
XORQ R10, R10
ADDQ SI, AX
ADCQ DI, CX
ADCQ R8, BX
ADCQ R9, BP
ADCQ DX, R10
SHLQ $0x03, R9, DX
SHLQ $0x03, R8, R9
SHLQ $0x03, DI, R8
SHLQ $0x03, SI, DI
SHLQ $0x03, SI
ADDQ SI, AX
ADCQ DI, CX
ADCQ R8, BX
ADCQ R9, BP
ADCQ DX, R10
SHLQ $0x05, BP, R10
ANDQ R11, BP
LEAQ (R10)(R10*8), R10
ADDQ R10, AX
ADCQ $0x00, CX
ADCQ $0x00, BX
ADCQ $0x00, BP
MOVQ $0xfffffffffffffff7, DX
MOVQ $0xffffffffffffffff, SI
MOVQ $0xffffffffffffffff, DI
MOVQ $0x07ffffffffffffff, R8
SUBQ AX, DX
SBBQ CX, SI
SBBQ BX, DI
SBBQ BP, R8
MOVQ DX, (R12)
MOVQ SI, 8(R12)
MOVQ DI, 16(R12)
MOVQ R8, 24(R12)
RET
// func selectPoint(res *Point, table *[16]Point, index uint64)
// Requires: SSE2
TEXT ·selectPoint(SB), NOSPLIT, $0-24
MOVQ index+16(FP), X0
MOVQ table+8(FP), AX
MOVQ res+0(FP), CX
PSHUFD $0x00, X0, X0
PXOR X1, X1
PXOR X2, X2
PXOR X3, X3
PXOR X4, X4
PXOR X5, X5
PXOR X6, X6
PXOR X7, X7
PXOR X8, X8
MOVQ $0x0000000000000010, DX
PCMPEQL X9, X9
PXOR X11, X11
PSUBL X9, X11
PXOR X9, X9
loop:
MOVO X9, X10
PCMPEQL X0, X10
MOVOU (AX), X12
PAND X10, X12
POR X12, X1
MOVOU 16(AX), X12
PAND X10, X12
POR X12, X2
MOVOU 32(AX), X12
PAND X10, X12
POR X12, X3
MOVOU 48(AX), X12
PAND X10, X12
POR X12, X4
MOVOU 64(AX), X12
PAND X10, X12
POR X12, X5
MOVOU 80(AX), X12
PAND X10, X12
POR X12, X6
MOVOU 96(AX), X12
PAND X10, X12
POR X12, X7
MOVOU 112(AX), X12
PAND X10, X12
POR X12, X8
ADDQ $0x80, AX
PADDL X11, X9
SUBQ $0x01, DX
JNZ loop
MOVOU X1, (CX)
MOVOU X2, 16(CX)
MOVOU X3, 32(CX)
MOVOU X4, 48(CX)
MOVOU X5, 64(CX)
MOVOU X6, 80(CX)
MOVOU X7, 96(CX)
MOVOU X8, 112(CX)
RET
// func fastInverse(res *FieldElement, x *FieldElement)
// Requires: SSE2
TEXT ·fastInverse(SB), NOSPLIT, $8-16
MOVQ x+8(FP), AX
MOVQ (AX), R8
MOVQ 8(AX), R9
MOVQ 16(AX), R10
MOVQ 24(AX), R11
MOVQ SP, X0
MOVQ $0xfffffffffffffff7, AX
MOVQ $0xffffffffffffffff, BX
MOVQ $0xffffffffffffffff, CX
MOVQ $0x07ffffffffffffff, DX
MOVQ $0x00000000, (SP)
XORQ R12, R12
MOVQ $0x00000000, SI
XORQ R13, R13
MOVQ $0x00000000, DI
XORQ R14, R14
MOVQ $0x00000000, BP
XORQ R15, R15
MOVQ $0x00000001, R12
mainloop:
CMPQ AX, $0x00
JNZ notzero
CMPQ BX, $0x00
JNZ notzero
CMPQ CX, $0x00
JNZ notzero
CMPQ DX, $0x00
JZ aftermain
notzero:
TESTQ $0x00000001, AX
JNZ afteru
uloop:
TESTQ $0x00000001, (SP)
JZ divu
SUBQ $0xf7, (SP)
SBBQ $0xff, SI
SBBQ $0xff, DI
MOVQ (SP), SI
MOVQ $0x07ffffffffffffff, SI
SBBQ SI, BP
MOVQ X1, SI
divu:
SHRQ $0x01, SI, (SP)
SHRQ $0x01, DI, SI
SHRQ $0x01, BP, DI
SARQ $0x01, BP
SHRQ $0x01, BX, AX
SHRQ $0x01, CX, BX
SHRQ $0x01, DX, CX
SARQ $0x01, DX
TESTQ $0x00000001, AX
JZ uloop
afteru:
TESTQ $0x00000001, R8
JNZ afterv
vloop:
TESTQ $0x00000001, R12
JZ divv
SUBQ $0xf7, R12
SBBQ $0xff, R13
SBBQ $0xff, R14
MOVQ R12, SI
MOVQ $0x07ffffffffffffff, SI
SBBQ SI, R15
MOVQ X1, SI
divv:
SHRQ $0x01, R13, R12
SHRQ $0x01, R14, R13
SHRQ $0x01, R15, R14
SARQ $0x01, R15
SHRQ $0x01, R9, R8
SHRQ $0x01, R10, R9
SHRQ $0x01, R11, R10
SARQ $0x01, R11
TESTQ $0x00000001, R8
JZ vloop
afterv:
CMPQ DX, R11
JB greaterv
JNE greateru
CMPQ CX, R10
JB greaterv
JNE greateru
CMPQ BX, R9
JB greaterv
JNE greateru
CMPQ AX, R8
JB greaterv
JNE greateru
greateru:
SUBQ R8, AX
SBBQ R9, BX
SBBQ R10, CX
SBBQ R11, DX
SUBQ R12, (SP)
SBBQ R13, SI
SBBQ R14, DI
SBBQ R15, BP
JMP mainloop
greaterv:
SUBQ AX, R8
SBBQ BX, R9
SBBQ CX, R10
SBBQ DX, R11
SUBQ (SP), R12
SBBQ SI, R13
SBBQ DI, R14
SBBQ BP, R15
JMP mainloop
aftermain:
MOVQ X0, SP
MOVQ res+0(FP), CX
CMPQ R15, $0x00
JNS store
ADDQ $0xf7, R12
ADCQ $0xff, R13
ADCQ $0xff, R14
MOVQ $0x07ffffffffffffff, AX
ADCQ AX, R15
store:
MOVQ R12, (CX)
MOVQ R13, 8(CX)
MOVQ R14, 16(CX)
MOVQ R15, 24(CX)
RET
// func sqr(res *FieldElement, x *FieldElement)
// Requires: ADX, BMI2
TEXT ·sqr(SB), NOSPLIT, $0-16
MOVQ x+8(FP), AX
// load x to registers
MOVQ (AX), R13
MOVQ 8(AX), R10
MOVQ 16(AX), R11
MOVQ 24(AX), R12
// clear flags
XORQ AX, AX
// fill registers
// x[3]*x[2]
MOVQ R12, DX
MULXQ R11, DI, R8
// x[0]*x[3]
MOVQ R13, DX
MULXQ R12, BP, SI
// x[0]*x[1]
MULXQ R10, CX, BX
// 2-4 pass
// x[0]*y[2]
MULXQ R11, R14, DX
ADCXQ R14, BX
ADOXQ DX, BP
// x[1]*y[2]
MOVQ R10, DX
MULXQ R11, R15, R14
ADCXQ R15, BP
ADOXQ R14, SI
// x[1]*y[3]
MULXQ R12, R14, DX
ADCXQ R14, SI
ADOXQ DX, DI
// Carry 5-8
ADCXQ AX, DI
ADOXQ AX, R8
ADCXQ AX, R8
ADOXQ AX, R9
ADCXQ AX, R9
// clear 7
XORQ R9, R9
// multiply by 2 by shifting
SHLQ $0x01, R8, R9
SHLQ $0x01, DI, R8
SHLQ $0x01, SI, DI
SHLQ $0x01, BP, SI
SHLQ $0x01, BX, BP
SHLQ $0x01, CX, BX
SHLQ $0x01, CX
// add all z*z
MOVQ R13, DX
MULXQ R13, AX, DX
ADDQ DX, CX
MOVQ R10, DX
MULXQ R10, R10, DX
ADCQ R10, BX
ADCQ DX, BP
MOVQ R11, DX
MULXQ R11, R10, DX
ADCQ R10, SI
ADCQ DX, DI
MOVQ R12, DX
MULXQ R12, R10, DX
ADCQ R10, R8
ADCQ DX, R9
MOVQ R9, DX
SHRQ $0x3b, DX
SHLQ $0x05, R8, R9
SHLQ $0x05, DI, R8
SHLQ $0x05, SI, DI
SHLQ $0x05, BP, SI
MOVQ $0x07ffffffffffffff, R11
ANDQ R11, BP
XORQ R10, R10
ADDQ SI, AX
ADCQ DI, CX
ADCQ R8, BX
ADCQ R9, BP
ADCQ DX, R10
SHLQ $0x03, R9, DX
SHLQ $0x03, R8, R9
SHLQ $0x03, DI, R8
SHLQ $0x03, SI, DI
SHLQ $0x03, SI
ADDQ SI, AX
ADCQ DI, CX
ADCQ R8, BX
ADCQ R9, BP
ADCQ DX, R10
SHLQ $0x05, BP, R10
ANDQ R11, BP
LEAQ (R10)(R10*8), R10
ADDQ R10, AX
ADCQ $0x00, CX
ADCQ $0x00, BX