aboutsummaryrefslogtreecommitdiffstats
path: root/crypto/bn/asm/x86_64-mont.pl
blob: 2989b58f256eaa0fe4315d9970c91161f874481a (plain) (blame)
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
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
#!/usr/bin/env perl

# ====================================================================
# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
# project. The module is, however, dual licensed under OpenSSL and
# CRYPTOGAMS licenses depending on where you obtain it. For further
# details see http://www.openssl.org/~appro/cryptogams/.
# ====================================================================

# October 2005.
#
# Montgomery multiplication routine for x86_64. While it gives modest
# 9% improvement of rsa4096 sign on Opteron, rsa512 sign runs more
# than twice, >2x, as fast. Most common rsa1024 sign is improved by
# respectful 50%. It remains to be seen if loop unrolling and
# dedicated squaring routine can provide further improvement...

# July 2011.
#
# Add dedicated squaring procedure. Performance improvement varies
# from platform to platform, but in average it's ~5%/15%/25%/33%
# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.

# August 2011.
#
# Unroll and modulo-schedule inner loops in such manner that they
# are "fallen through" for input lengths of 8, which is critical for
# 1024-bit RSA *sign*. Average performance improvement in comparison
# to *initial* version of this module from 2005 is ~0%/30%/40%/45%
# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.

# June 2013.
#
# Optimize reduction in squaring procedure and improve 1024+-bit RSA
# sign performance by 10-16% on Intel Sandy Bridge and later
# (virtually same on non-Intel processors).

# August 2013.
#
# Add MULX/ADOX/ADCX code path.

$flavour = shift;
$output  = shift;
if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }

$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);

$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
die "can't locate x86_64-xlate.pl";

open OUT,"| \"$^X\" $xlate $flavour $output";
*STDOUT=*OUT;

if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1`
		=~ /GNU assembler version ([2-9]\.[0-9]+)/) {
	$addx = ($1>=2.23);
}

if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) &&
	    `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) {
	$addx = ($1>=2.10);
}

if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
	    `ml64 2>&1` =~ /Version ([0-9]+)\./) {
	$addx = ($1>=12);
}

# int bn_mul_mont(
$rp="%rdi";	# BN_ULONG *rp,
$ap="%rsi";	# const BN_ULONG *ap,
$bp="%rdx";	# const BN_ULONG *bp,
$np="%rcx";	# const BN_ULONG *np,
$n0="%r8";	# const BN_ULONG *n0,
$num="%r9";	# int num);
$lo0="%r10";
$hi0="%r11";
$hi1="%r13";
$i="%r14";
$j="%r15";
$m0="%rbx";
$m1="%rbp";

$code=<<___;
.text

.extern	OPENSSL_ia32cap_P

.globl	bn_mul_mont
.type	bn_mul_mont,\@function,6
.align	16
bn_mul_mont:
	test	\$3,${num}d
	jnz	.Lmul_enter
	cmp	\$8,${num}d
	jb	.Lmul_enter
___
$code.=<<___ if ($addx);
	mov	OPENSSL_ia32cap_P+8(%rip),%r11d
___
$code.=<<___;
	cmp	$ap,$bp
	jne	.Lmul4x_enter
	test	\$7,${num}d
	jz	.Lsqr8x_enter
	jmp	.Lmul4x_enter

.align	16
.Lmul_enter:
	push	%rbx
	push	%rbp
	push	%r12
	push	%r13
	push	%r14
	push	%r15

	mov	${num}d,${num}d
	lea	2($num),%r10
	mov	%rsp,%r11
	neg	%r10
	lea	(%rsp,%r10,8),%rsp	# tp=alloca(8*(num+2))
	and	\$-1024,%rsp		# minimize TLB usage

	mov	%r11,8(%rsp,$num,8)	# tp[num+1]=%rsp
.Lmul_body:
	mov	$bp,%r12		# reassign $bp
___
		$bp="%r12";
$code.=<<___;
	mov	($n0),$n0		# pull n0[0] value
	mov	($bp),$m0		# m0=bp[0]
	mov	($ap),%rax

	xor	$i,$i			# i=0
	xor	$j,$j			# j=0

	mov	$n0,$m1
	mulq	$m0			# ap[0]*bp[0]
	mov	%rax,$lo0
	mov	($np),%rax

	imulq	$lo0,$m1		# "tp[0]"*n0
	mov	%rdx,$hi0

	mulq	$m1			# np[0]*m1
	add	%rax,$lo0		# discarded
	mov	8($ap),%rax
	adc	\$0,%rdx
	mov	%rdx,$hi1

	lea	1($j),$j		# j++
	jmp	.L1st_enter

.align	16
.L1st:
	add	%rax,$hi1
	mov	($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$hi0,$hi1		# np[j]*m1+ap[j]*bp[0]
	mov	$lo0,$hi0
	adc	\$0,%rdx
	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$hi1

.L1st_enter:
	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$hi0
	mov	($np,$j,8),%rax
	adc	\$0,%rdx
	lea	1($j),$j		# j++
	mov	%rdx,$lo0

	mulq	$m1			# np[j]*m1
	cmp	$num,$j
	jne	.L1st

	add	%rax,$hi1
	mov	($ap),%rax		# ap[0]
	adc	\$0,%rdx
	add	$hi0,$hi1		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$hi1
	mov	$lo0,$hi0

	xor	%rdx,%rdx
	add	$hi0,$hi1
	adc	\$0,%rdx
	mov	$hi1,-8(%rsp,$num,8)
	mov	%rdx,(%rsp,$num,8)	# store upmost overflow bit

	lea	1($i),$i		# i++
	jmp	.Louter
.align	16
.Louter:
	mov	($bp,$i,8),$m0		# m0=bp[i]
	xor	$j,$j			# j=0
	mov	$n0,$m1
	mov	(%rsp),$lo0
	mulq	$m0			# ap[0]*bp[i]
	add	%rax,$lo0		# ap[0]*bp[i]+tp[0]
	mov	($np),%rax
	adc	\$0,%rdx

	imulq	$lo0,$m1		# tp[0]*n0
	mov	%rdx,$hi0

	mulq	$m1			# np[0]*m1
	add	%rax,$lo0		# discarded
	mov	8($ap),%rax
	adc	\$0,%rdx
	mov	8(%rsp),$lo0		# tp[1]
	mov	%rdx,$hi1

	lea	1($j),$j		# j++
	jmp	.Linner_enter

.align	16
.Linner:
	add	%rax,$hi1
	mov	($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$lo0,$hi1		# np[j]*m1+ap[j]*bp[i]+tp[j]
	mov	(%rsp,$j,8),$lo0
	adc	\$0,%rdx
	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$hi1

.Linner_enter:
	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$hi0
	mov	($np,$j,8),%rax
	adc	\$0,%rdx
	add	$hi0,$lo0		# ap[j]*bp[i]+tp[j]
	mov	%rdx,$hi0
	adc	\$0,$hi0
	lea	1($j),$j		# j++

	mulq	$m1			# np[j]*m1
	cmp	$num,$j
	jne	.Linner

	add	%rax,$hi1
	mov	($ap),%rax		# ap[0]
	adc	\$0,%rdx
	add	$lo0,$hi1		# np[j]*m1+ap[j]*bp[i]+tp[j]
	mov	(%rsp,$j,8),$lo0
	adc	\$0,%rdx
	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$hi1

	xor	%rdx,%rdx
	add	$hi0,$hi1
	adc	\$0,%rdx
	add	$lo0,$hi1		# pull upmost overflow bit
	adc	\$0,%rdx
	mov	$hi1,-8(%rsp,$num,8)
	mov	%rdx,(%rsp,$num,8)	# store upmost overflow bit

	lea	1($i),$i		# i++
	cmp	$num,$i
	jb	.Louter

	xor	$i,$i			# i=0 and clear CF!
	mov	(%rsp),%rax		# tp[0]
	lea	(%rsp),$ap		# borrow ap for tp
	mov	$num,$j			# j=num
	jmp	.Lsub
.align	16
.Lsub:	sbb	($np,$i,8),%rax
	mov	%rax,($rp,$i,8)		# rp[i]=tp[i]-np[i]
	mov	8($ap,$i,8),%rax	# tp[i+1]
	lea	1($i),$i		# i++
	dec	$j			# doesnn't affect CF!
	jnz	.Lsub

	sbb	\$0,%rax		# handle upmost overflow bit
	xor	$i,$i
	and	%rax,$ap
	not	%rax
	mov	$rp,$np
	and	%rax,$np
	mov	$num,$j			# j=num
	or	$np,$ap			# ap=borrow?tp:rp
.align	16
.Lcopy:					# copy or in-place refresh
	mov	($ap,$i,8),%rax
	mov	$i,(%rsp,$i,8)		# zap temporary vector
	mov	%rax,($rp,$i,8)		# rp[i]=tp[i]
	lea	1($i),$i
	sub	\$1,$j
	jnz	.Lcopy

	mov	8(%rsp,$num,8),%rsi	# restore %rsp
	mov	\$1,%rax
	mov	(%rsi),%r15
	mov	8(%rsi),%r14
	mov	16(%rsi),%r13
	mov	24(%rsi),%r12
	mov	32(%rsi),%rbp
	mov	40(%rsi),%rbx
	lea	48(%rsi),%rsp
.Lmul_epilogue:
	ret
.size	bn_mul_mont,.-bn_mul_mont
___
{{{
my @A=("%r10","%r11");
my @N=("%r13","%rdi");
$code.=<<___;
.type	bn_mul4x_mont,\@function,6
.align	16
bn_mul4x_mont:
.Lmul4x_enter:
___
$code.=<<___ if ($addx);
	and	\$0x80100,%r11d
	cmp	\$0x80100,%r11d
	je	.Lmulx4x_enter
___
$code.=<<___;
	push	%rbx
	push	%rbp
	push	%r12
	push	%r13
	push	%r14
	push	%r15

	mov	${num}d,${num}d
	lea	4($num),%r10
	mov	%rsp,%r11
	neg	%r10
	lea	(%rsp,%r10,8),%rsp	# tp=alloca(8*(num+4))
	and	\$-1024,%rsp		# minimize TLB usage

	mov	%r11,8(%rsp,$num,8)	# tp[num+1]=%rsp
.Lmul4x_body:
	mov	$rp,16(%rsp,$num,8)	# tp[num+2]=$rp
	mov	%rdx,%r12		# reassign $bp
___
		$bp="%r12";
$code.=<<___;
	mov	($n0),$n0		# pull n0[0] value
	mov	($bp),$m0		# m0=bp[0]
	mov	($ap),%rax

	xor	$i,$i			# i=0
	xor	$j,$j			# j=0

	mov	$n0,$m1
	mulq	$m0			# ap[0]*bp[0]
	mov	%rax,$A[0]
	mov	($np),%rax

	imulq	$A[0],$m1		# "tp[0]"*n0
	mov	%rdx,$A[1]

	mulq	$m1			# np[0]*m1
	add	%rax,$A[0]		# discarded
	mov	8($ap),%rax
	adc	\$0,%rdx
	mov	%rdx,$N[1]

	mulq	$m0
	add	%rax,$A[1]
	mov	8($np),%rax
	adc	\$0,%rdx
	mov	%rdx,$A[0]

	mulq	$m1
	add	%rax,$N[1]
	mov	16($ap),%rax
	adc	\$0,%rdx
	add	$A[1],$N[1]
	lea	4($j),$j		# j++
	adc	\$0,%rdx
	mov	$N[1],(%rsp)
	mov	%rdx,$N[0]
	jmp	.L1st4x
.align	16
.L1st4x:
	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$A[0]
	mov	-16($np,$j,8),%rax
	adc	\$0,%rdx
	mov	%rdx,$A[1]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[0]
	mov	-8($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[0],$N[0]		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$N[0],-24(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$A[1]
	mov	-8($np,$j,8),%rax
	adc	\$0,%rdx
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$N[1],-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[0]

	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$A[0]
	mov	($np,$j,8),%rax
	adc	\$0,%rdx
	mov	%rdx,$A[1]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[0]
	mov	8($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[0],$N[0]		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$N[0],-8(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$A[1]
	mov	8($np,$j,8),%rax
	adc	\$0,%rdx
	lea	4($j),$j		# j++
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	-16($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$N[1],-32(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[0]
	cmp	$num,$j
	jb	.L1st4x

	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$A[0]
	mov	-16($np,$j,8),%rax
	adc	\$0,%rdx
	mov	%rdx,$A[1]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[0]
	mov	-8($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[0],$N[0]		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$N[0],-24(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[0]
	add	%rax,$A[1]
	mov	-8($np,$j,8),%rax
	adc	\$0,%rdx
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	($ap),%rax		# ap[0]
	adc	\$0,%rdx
	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[0]
	adc	\$0,%rdx
	mov	$N[1],-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[0]

	xor	$N[1],$N[1]
	add	$A[0],$N[0]
	adc	\$0,$N[1]
	mov	$N[0],-8(%rsp,$j,8)
	mov	$N[1],(%rsp,$j,8)	# store upmost overflow bit

	lea	1($i),$i		# i++
.align	4
.Louter4x:
	mov	($bp,$i,8),$m0		# m0=bp[i]
	xor	$j,$j			# j=0
	mov	(%rsp),$A[0]
	mov	$n0,$m1
	mulq	$m0			# ap[0]*bp[i]
	add	%rax,$A[0]		# ap[0]*bp[i]+tp[0]
	mov	($np),%rax
	adc	\$0,%rdx

	imulq	$A[0],$m1		# tp[0]*n0
	mov	%rdx,$A[1]

	mulq	$m1			# np[0]*m1
	add	%rax,$A[0]		# "$N[0]", discarded
	mov	8($ap),%rax
	adc	\$0,%rdx
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[1]
	mov	8($np),%rax
	adc	\$0,%rdx
	add	8(%rsp),$A[1]		# +tp[1]
	adc	\$0,%rdx
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	16($ap),%rax
	adc	\$0,%rdx
	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[i]+tp[j]
	lea	4($j),$j		# j+=2
	adc	\$0,%rdx
	mov	$N[1],(%rsp)		# tp[j-1]
	mov	%rdx,$N[0]
	jmp	.Linner4x
.align	16
.Linner4x:
	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[0]
	mov	-16($np,$j,8),%rax
	adc	\$0,%rdx
	add	-16(%rsp,$j,8),$A[0]	# ap[j]*bp[i]+tp[j]
	adc	\$0,%rdx
	mov	%rdx,$A[1]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[0]
	mov	-8($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[0],$N[0]
	adc	\$0,%rdx
	mov	$N[0],-24(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[1]
	mov	-8($np,$j,8),%rax
	adc	\$0,%rdx
	add	-8(%rsp,$j,8),$A[1]
	adc	\$0,%rdx
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[1],$N[1]
	adc	\$0,%rdx
	mov	$N[1],-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[0]

	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[0]
	mov	($np,$j,8),%rax
	adc	\$0,%rdx
	add	(%rsp,$j,8),$A[0]	# ap[j]*bp[i]+tp[j]
	adc	\$0,%rdx
	mov	%rdx,$A[1]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[0]
	mov	8($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[0],$N[0]
	adc	\$0,%rdx
	mov	$N[0],-8(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[1]
	mov	8($np,$j,8),%rax
	adc	\$0,%rdx
	add	8(%rsp,$j,8),$A[1]
	adc	\$0,%rdx
	lea	4($j),$j		# j++
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	-16($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[1],$N[1]
	adc	\$0,%rdx
	mov	$N[1],-32(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[0]
	cmp	$num,$j
	jb	.Linner4x

	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[0]
	mov	-16($np,$j,8),%rax
	adc	\$0,%rdx
	add	-16(%rsp,$j,8),$A[0]	# ap[j]*bp[i]+tp[j]
	adc	\$0,%rdx
	mov	%rdx,$A[1]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[0]
	mov	-8($ap,$j,8),%rax
	adc	\$0,%rdx
	add	$A[0],$N[0]
	adc	\$0,%rdx
	mov	$N[0],-24(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[1]

	mulq	$m0			# ap[j]*bp[i]
	add	%rax,$A[1]
	mov	-8($np,$j,8),%rax
	adc	\$0,%rdx
	add	-8(%rsp,$j,8),$A[1]
	adc	\$0,%rdx
	lea	1($i),$i		# i++
	mov	%rdx,$A[0]

	mulq	$m1			# np[j]*m1
	add	%rax,$N[1]
	mov	($ap),%rax		# ap[0]
	adc	\$0,%rdx
	add	$A[1],$N[1]
	adc	\$0,%rdx
	mov	$N[1],-16(%rsp,$j,8)	# tp[j-1]
	mov	%rdx,$N[0]

	xor	$N[1],$N[1]
	add	$A[0],$N[0]
	adc	\$0,$N[1]
	add	(%rsp,$num,8),$N[0]	# pull upmost overflow bit
	adc	\$0,$N[1]
	mov	$N[0],-8(%rsp,$j,8)
	mov	$N[1],(%rsp,$j,8)	# store upmost overflow bit

	cmp	$num,$i
	jb	.Louter4x
___
{
my @ri=("%rax","%rdx",$m0,$m1);
$code.=<<___;
	mov	16(%rsp,$num,8),$rp	# restore $rp
	mov	0(%rsp),@ri[0]		# tp[0]
	pxor	%xmm0,%xmm0
	mov	8(%rsp),@ri[1]		# tp[1]
	shr	\$2,$num		# num/=4
	lea	(%rsp),$ap		# borrow ap for tp
	xor	$i,$i			# i=0 and clear CF!

	sub	0($np),@ri[0]
	mov	16($ap),@ri[2]		# tp[2]
	mov	24($ap),@ri[3]		# tp[3]
	sbb	8($np),@ri[1]
	lea	-1($num),$j		# j=num/4-1
	jmp	.Lsub4x
.align	16
.Lsub4x:
	mov	@ri[0],0($rp,$i,8)	# rp[i]=tp[i]-np[i]
	mov	@ri[1],8($rp,$i,8)	# rp[i]=tp[i]-np[i]
	sbb	16($np,$i,8),@ri[2]
	mov	32($ap,$i,8),@ri[0]	# tp[i+1]
	mov	40($ap,$i,8),@ri[1]
	sbb	24($np,$i,8),@ri[3]
	mov	@ri[2],16($rp,$i,8)	# rp[i]=tp[i]-np[i]
	mov	@ri[3],24($rp,$i,8)	# rp[i]=tp[i]-np[i]
	sbb	32($np,$i,8),@ri[0]
	mov	48($ap,$i,8),@ri[2]
	mov	56($ap,$i,8),@ri[3]
	sbb	40($np,$i,8),@ri[1]
	lea	4($i),$i		# i++
	dec	$j			# doesnn't affect CF!
	jnz	.Lsub4x

	mov	@ri[0],0($rp,$i,8)	# rp[i]=tp[i]-np[i]
	mov	32($ap,$i,8),@ri[0]	# load overflow bit
	sbb	16($np,$i,8),@ri[2]
	mov	@ri[1],8($rp,$i,8)	# rp[i]=tp[i]-np[i]
	sbb	24($np,$i,8),@ri[3]
	mov	@ri[2],16($rp,$i,8)	# rp[i]=tp[i]-np[i]

	sbb	\$0,@ri[0]		# handle upmost overflow bit
	mov	@ri[3],24($rp,$i,8)	# rp[i]=tp[i]-np[i]
	xor	$i,$i			# i=0
	and	@ri[0],$ap
	not	@ri[0]
	mov	$rp,$np
	and	@ri[0],$np
	lea	-1($num),$j
	or	$np,$ap			# ap=borrow?tp:rp

	movdqu	($ap),%xmm1
	movdqa	%xmm0,(%rsp)
	movdqu	%xmm1,($rp)
	jmp	.Lcopy4x
.align	16
.Lcopy4x:					# copy or in-place refresh
	movdqu	16($ap,$i),%xmm2
	movdqu	32($ap,$i),%xmm1
	movdqa	%xmm0,16(%rsp,$i)
	movdqu	%xmm2,16($rp,$i)
	movdqa	%xmm0,32(%rsp,$i)
	movdqu	%xmm1,32($rp,$i)
	lea	32($i),$i
	dec	$j
	jnz	.Lcopy4x

	shl	\$2,$num
	movdqu	16($ap,$i),%xmm2
	movdqa	%xmm0,16(%rsp,$i)
	movdqu	%xmm2,16($rp,$i)
___
}
$code.=<<___;
	mov	8(%rsp,$num,8),%rsi	# restore %rsp
	mov	\$1,%rax
	mov	(%rsi),%r15
	mov	8(%rsi),%r14
	mov	16(%rsi),%r13
	mov	24(%rsi),%r12
	mov	32(%rsi),%rbp
	mov	40(%rsi),%rbx
	lea	48(%rsi),%rsp
.Lmul4x_epilogue:
	ret
.size	bn_mul4x_mont,.-bn_mul4x_mont
___
}}}
{{{
######################################################################
# void bn_sqr8x_mont(
my $rptr="%rdi";	# const BN_ULONG *rptr,
my $aptr="%rsi";	# const BN_ULONG *aptr,
my $bptr="%rdx";	# not used
my $nptr="%rcx";	# const BN_ULONG *nptr,
my $n0  ="%r8";		# const BN_ULONG *n0);
my $num ="%r9";		# int num, has to be divisible by 8

my ($i,$j,$tptr)=("%rbp","%rcx",$rptr);
my @A0=("%r10","%r11");
my @A1=("%r12","%r13");
my ($a0,$a1,$ai)=("%r14","%r15","%rbx");

$code.=<<___	if ($addx);
.extern	bn_sqrx8x_internal		# see x86_64-mont5 module
___
$code.=<<___;
.extern	bn_sqr8x_internal		# see x86_64-mont5 module

.type	bn_sqr8x_mont,\@function,6
.align	32
bn_sqr8x_mont:
.Lsqr8x_enter:
	mov	%rsp,%rax
	push	%rbx
	push	%rbp
	push	%r12
	push	%r13
	push	%r14
	push	%r15

	mov	${num}d,%r10d
	shl	\$3,${num}d		# convert $num to bytes
	shl	\$3+2,%r10		# 4*$num
	neg	$num

	##############################################################
	# ensure that stack frame doesn't alias with $aptr modulo
	# 4096. this is done to allow memory disambiguation logic
	# do its job.
	#
	lea	-64(%rsp,$num,4),%r11
	mov	($n0),$n0		# *n0
	sub	$aptr,%r11
	and	\$4095,%r11
	cmp	%r11,%r10
	jb	.Lsqr8x_sp_alt
	sub	%r11,%rsp		# align with $aptr
	lea	-64(%rsp,$num,4),%rsp	# alloca(frame+4*$num)
	jmp	.Lsqr8x_sp_done

.align	32
.Lsqr8x_sp_alt:
	lea	4096-64(,$num,4),%r10	# 4096-frame-4*$num
	lea	-64(%rsp,$num,4),%rsp	# alloca(frame+4*$num)
	sub	%r10,%r11
	mov	\$0,%r10
	cmovc	%r10,%r11
	sub	%r11,%rsp
.Lsqr8x_sp_done:
	and	\$-64,%rsp
	mov	$num,%r10	
	neg	$num

	lea	64(%rsp,$num,2),%r11	# copy of modulus
	mov	$n0,  32(%rsp)
	mov	%rax, 40(%rsp)		# save original %rsp
.Lsqr8x_body:

	mov	$num,$i
	movq	%r11, %xmm2		# save pointer to modulus copy
	shr	\$3+2,$i
	mov	OPENSSL_ia32cap_P+8(%rip),%eax
	jmp	.Lsqr8x_copy_n

.align	32
.Lsqr8x_copy_n:
	movq	8*0($nptr),%xmm0
	movq	8*1($nptr),%xmm1
	movq	8*2($nptr),%xmm3
	movq	8*3($nptr),%xmm4
	lea	8*4($nptr),$nptr
	movdqa	%xmm0,16*0(%r11)
	movdqa	%xmm1,16*1(%r11)
	movdqa	%xmm3,16*2(%r11)
	movdqa	%xmm4,16*3(%r11)
	lea	16*4(%r11),%r11
	dec	$i
	jnz	.Lsqr8x_copy_n

	pxor	%xmm0,%xmm0
	movq	$rptr,%xmm1		# save $rptr
	movq	%r10, %xmm3		# -$num
___
$code.=<<___ if ($addx);
	and	\$0x80100,%eax
	cmp	\$0x80100,%eax
	jne	.Lsqr8x_nox

	call	bn_sqrx8x_internal	# see x86_64-mont5 module

	pxor	%xmm0,%xmm0
	lea	48(%rsp),%rax
	lea	64(%rsp,$num,2),%rdx
	shr	\$3+2,$num
	mov	40(%rsp),%rsi		# restore %rsp
	jmp	.Lsqr8x_zero

.align	32
.Lsqr8x_nox:
___
$code.=<<___;
	call	bn_sqr8x_internal	# see x86_64-mont5 module

	pxor	%xmm0,%xmm0
	lea	48(%rsp),%rax
	lea	64(%rsp,$num,2),%rdx
	shr	\$3+2,$num
	mov	40(%rsp),%rsi		# restore %rsp
	jmp	.Lsqr8x_zero

.align	32
.Lsqr8x_zero:
	movdqa	%xmm0,16*0(%rax)	# wipe t
	movdqa	%xmm0,16*1(%rax)
	movdqa	%xmm0,16*2(%rax)
	movdqa	%xmm0,16*3(%rax)
	lea	16*4(%rax),%rax
	movdqa	%xmm0,16*0(%rdx)	# wipe n
	movdqa	%xmm0,16*1(%rdx)
	movdqa	%xmm0,16*2(%rdx)
	movdqa	%xmm0,16*3(%rdx)
	lea	16*4(%rdx),%rdx
	dec	$num
	jnz	.Lsqr8x_zero

	mov	\$1,%rax
	mov	-48(%rsi),%r15
	mov	-40(%rsi),%r14
	mov	-32(%rsi),%r13
	mov	-24(%rsi),%r12
	mov	-16(%rsi),%rbp
	mov	-8(%rsi),%rbx
	lea	(%rsi),%rsp
.Lsqr8x_epilogue:
	ret
.size	bn_sqr8x_mont,.-bn_sqr8x_mont
___
}}}

if ($addx) {{{
my $bp="%rdx";	# original value

$code.=<<___;
.type	bn_mulx4x_mont,\@function,6
.align	32
bn_mulx4x_mont:
.Lmulx4x_enter:
	mov	%rsp,%rax
	push	%rbx
	push	%rbp
	push	%r12
	push	%r13
	push	%r14
	push	%r15

	shl	\$3,${num}d		# convert $num to bytes
	.byte	0x67
	xor	%r10,%r10
	sub	$num,%r10		# -$num
	mov	($n0),$n0		# *n0
	lea	-72(%rsp,%r10),%rsp	# alloca(frame+$num+8)
	lea	($bp,$num),%r10
	and	\$-128,%rsp
	##############################################################
	# Stack layout
	# +0	num
	# +8	off-loaded &b[i]
	# +16	end of b[num]
	# +24	saved n0
	# +32	saved rp
	# +40	saved %rsp
	# +48	inner counter
	# +56
	# +64	tmp[num+1]
	#
	mov	$num,0(%rsp)		# save $num
	shr	\$5,$num
	mov	%r10,16(%rsp)		# end of b[num]
	sub	\$1,$num
	mov	$n0, 24(%rsp)		# save *n0
	mov	$rp, 32(%rsp)		# save $rp
	mov	%rax,40(%rsp)		# save original %rsp
	mov	$num,48(%rsp)		# inner counter
	jmp	.Lmulx4x_body

.align	32
.Lmulx4x_body:
___
my ($aptr, $bptr, $nptr, $tptr, $mi,  $bi,  $zero, $num)=
   ("%rsi","%rdi","%rcx","%rbx","%r8","%r9","%rbp","%rax");
my $rptr=$bptr;
$code.=<<___;
	lea	8($bp),$bptr
	mov	($bp),%rdx		# b[0], $bp==%rdx actually
	lea	64+32(%rsp),$tptr
	mov	%rdx,$bi

	mulx	0*8($aptr),$mi,%rax	# a[0]*b[0]
	mulx	1*8($aptr),%r11,%r14	# a[1]*b[0]
	add	%rax,%r11
	mov	$bptr,8(%rsp)		# off-load &b[i]
	mulx	2*8($aptr),%r12,%r13	# ...
	adc	%r14,%r12
	adc	\$0,%r13

	mov	$mi,$bptr		# borrow $bptr
	imulq	24(%rsp),$mi		# "t[0]"*n0
	xor	$zero,$zero		# cf=0, of=0

	mulx	3*8($aptr),%rax,%r14
	 mov	$mi,%rdx
	lea	4*8($aptr),$aptr
	adcx	%rax,%r13
	adcx	$zero,%r14		# cf=0

	mulx	0*8($nptr),%rax,%r10
	adcx	%rax,$bptr		# discarded
	adox	%r11,%r10
	mulx	1*8($nptr),%rax,%r11
	adcx	%rax,%r10
	adox	%r12,%r11
	.byte	0xc4,0x62,0xfb,0xf6,0xa1,0x10,0x00,0x00,0x00	# mulx	2*8($nptr),%rax,%r12
	mov	48(%rsp),$bptr		# counter value
	mov	%r10,-4*8($tptr)
	adcx	%rax,%r11
	adox	%r13,%r12
	mulx	3*8($nptr),%rax,%r15
	 mov	$bi,%rdx
	mov	%r11,-3*8($tptr)
	adcx	%rax,%r12
	adox	$zero,%r15		# of=0
	lea	4*8($nptr),$nptr
	mov	%r12,-2*8($tptr)

	jmp	.Lmulx4x_1st

.align	32
.Lmulx4x_1st:
	adcx	$zero,%r15		# cf=0, modulo-scheduled
	mulx	0*8($aptr),%r10,%rax	# a[4]*b[0]
	adcx	%r14,%r10
	mulx	1*8($aptr),%r11,%r14	# a[5]*b[0]
	adcx	%rax,%r11
	mulx	2*8($aptr),%r12,%rax	# ...
	adcx	%r14,%r12
	mulx	3*8($aptr),%r13,%r14
	 .byte	0x67,0x67
	 mov	$mi,%rdx
	adcx	%rax,%r13
	adcx	$zero,%r14		# cf=0
	lea	4*8($aptr),$aptr
	lea	4*8($tptr),$tptr

	adox	%r15,%r10
	mulx	0*8($nptr),%rax,%r15
	adcx	%rax,%r10
	adox	%r15,%r11
	mulx	1*8($nptr),%rax,%r15
	adcx	%rax,%r11
	adox	%r15,%r12
	mulx	2*8($nptr),%rax,%r15
	mov	%r10,-5*8($tptr)
	adcx	%rax,%r12
	mov	%r11,-4*8($tptr)
	adox	%r15,%r13
	mulx	3*8($nptr),%rax,%r15
	 mov	$bi,%rdx
	mov	%r12,-3*8($tptr)
	adcx	%rax,%r13
	adox	$zero,%r15
	lea	4*8($nptr),$nptr
	mov	%r13,-2*8($tptr)

	dec	$bptr			# of=0, pass cf
	jnz	.Lmulx4x_1st

	mov	0(%rsp),$num		# load num
	mov	8(%rsp),$bptr		# re-load &b[i]
	adc	$zero,%r15		# modulo-scheduled
	add	%r15,%r14
	sbb	%r15,%r15		# top-most carry
	mov	%r14,-1*8($tptr)
	jmp	.Lmulx4x_outer

.align	32
.Lmulx4x_outer:
	mov	($bptr),%rdx		# b[i]
	lea	8($bptr),$bptr		# b++
	sub	$num,$aptr		# rewind $aptr
	mov	%r15,($tptr)		# save top-most carry
	lea	64+4*8(%rsp),$tptr
	sub	$num,$nptr		# rewind $nptr

	mulx	0*8($aptr),$mi,%r11	# a[0]*b[i]
	xor	%ebp,%ebp		# xor	$zero,$zero	# cf=0, of=0
	mov	%rdx,$bi
	mulx	1*8($aptr),%r14,%r12	# a[1]*b[i]
	adox	-4*8($tptr),$mi
	adcx	%r14,%r11
	mulx	2*8($aptr),%r15,%r13	# ...
	adox	-3*8($tptr),%r11
	adcx	%r15,%r12
	adox	$zero,%r12
	adcx	$zero,%r13

	mov	$bptr,8(%rsp)		# off-load &b[i]
	.byte	0x67
	mov	$mi,%r15
	imulq	24(%rsp),$mi		# "t[0]"*n0
	xor	%ebp,%ebp		# xor	$zero,$zero	# cf=0, of=0

	mulx	3*8($aptr),%rax,%r14
	 mov	$mi,%rdx
	adox	-2*8($tptr),%r12
	adcx	%rax,%r13
	adox	-1*8($tptr),%r13
	adcx	$zero,%r14
	lea	4*8($aptr),$aptr
	adox	$zero,%r14

	mulx	0*8($nptr),%rax,%r10
	adcx	%rax,%r15		# discarded
	adox	%r11,%r10
	mulx	1*8($nptr),%rax,%r11
	adcx	%rax,%r10
	adox	%r12,%r11
	mulx	2*8($nptr),%rax,%r12
	mov	%r10,-4*8($tptr)
	adcx	%rax,%r11
	adox	%r13,%r12
	mulx	3*8($nptr),%rax,%r15
	 mov	$bi,%rdx
	mov	%r11,-3*8($tptr)
	lea	4*8($nptr),$nptr
	adcx	%rax,%r12
	adox	$zero,%r15		# of=0
	mov	48(%rsp),$bptr		# counter value
	mov	%r12,-2*8($tptr)

	jmp	.Lmulx4x_inner

.align	32
.Lmulx4x_inner:
	mulx	0*8($aptr),%r10,%rax	# a[4]*b[i]
	adcx	$zero,%r15		# cf=0, modulo-scheduled
	adox	%r14,%r10
	mulx	1*8($aptr),%r11,%r14	# a[5]*b[i]
	adcx	0*8($tptr),%r10
	adox	%rax,%r11
	mulx	2*8($aptr),%r12,%rax	# ...
	adcx	1*8($tptr),%r11
	adox	%r14,%r12
	mulx	3*8($aptr),%r13,%r14
	 mov	$mi,%rdx
	adcx	2*8($tptr),%r12
	adox	%rax,%r13
	adcx	3*8($tptr),%r13
	adox	$zero,%r14		# of=0
	lea	4*8($aptr),$aptr
	lea	4*8($tptr),$tptr
	adcx	$zero,%r14		# cf=0

	adox	%r15,%r10
	mulx	0*8($nptr),%rax,%r15
	adcx	%rax,%r10
	adox	%r15,%r11
	mulx	1*8($nptr),%rax,%r15
	adcx	%rax,%r11
	adox	%r15,%r12
	mulx	2*8($nptr),%rax,%r15
	mov	%r10,-5*8($tptr)
	adcx	%rax,%r12
	adox	%r15,%r13
	mulx	3*8($nptr),%rax,%r15
	 mov	$bi,%rdx
	mov	%r11,-4*8($tptr)
	mov	%r12,-3*8($tptr)
	adcx	%rax,%r13
	adox	$zero,%r15
	lea	4*8($nptr),$nptr
	mov	%r13,-2*8($tptr)

	dec	$bptr			# of=0, pass cf
	jnz	.Lmulx4x_inner

	mov	0(%rsp),$num		# load num
	mov	8(%rsp),$bptr		# re-load &b[i]
	adc	$zero,%r15		# modulo-scheduled
	sub	0*8($tptr),$zero	# pull top-most carry
	adc	%r15,%r14
	mov	-8($nptr),$mi
	sbb	%r15,%r15		# top-most carry
	mov	%r14,-1*8($tptr)

	cmp	16(%rsp),$bptr
	jne	.Lmulx4x_outer

	sub	%r14,$mi		# compare top-most words
	sbb	$mi,$mi
	or	$mi,%r15

	neg	$num
	xor	%rdx,%rdx
	mov	32(%rsp),$rptr		# restore rp
	lea	64(%rsp),$tptr

	pxor	%xmm0,%xmm0
	mov	0*8($nptr,$num),%r8
	mov	1*8($nptr,$num),%r9
	neg	%r8
	jmp	.Lmulx4x_sub_entry

.align	32
.Lmulx4x_sub:
	mov	0*8($nptr,$num),%r8
	mov	1*8($nptr,$num),%r9
	not	%r8
.Lmulx4x_sub_entry:
	mov	2*8($nptr,$num),%r10
	not	%r9
	and	%r15,%r8
	mov	3*8($nptr,$num),%r11
	not	%r10
	and	%r15,%r9
	not	%r11
	and	%r15,%r10
	and	%r15,%r11

	neg	%rdx			# mov %rdx,%cf
	adc	0*8($tptr),%r8
	adc	1*8($tptr),%r9
	movdqa	%xmm0,($tptr)
	adc	2*8($tptr),%r10
	adc	3*8($tptr),%r11
	movdqa	%xmm0,16($tptr)
	lea	4*8($tptr),$tptr
	sbb	%rdx,%rdx		# mov %cf,%rdx

	mov	%r8,0*8($rptr)
	mov	%r9,1*8($rptr)
	mov	%r10,2*8($rptr)
	mov	%r11,3*8($rptr)
	lea	4*8($rptr),$rptr

	add	\$32,$num
	jnz	.Lmulx4x_sub

	mov	40(%rsp),%rsi		# restore %rsp
	mov	\$1,%rax
	mov	-48(%rsi),%r15
	mov	-40(%rsi),%r14
	mov	-32(%rsi),%r13
	mov	-24(%rsi),%r12
	mov	-16(%rsi),%rbp
	mov	-8(%rsi),%rbx
	lea	(%rsi),%rsp
.Lmulx4x_epilogue:
	ret
.size	bn_mulx4x_mont,.-bn_mulx4x_mont
___
}}}
$code.=<<___;
.asciz	"Montgomery Multiplication for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
.align	16
___

# EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame,
#		CONTEXT *context,DISPATCHER_CONTEXT *disp)
if ($win64) {
$rec="%rcx";
$frame="%rdx";
$context="%r8";
$disp="%r9";

$code.=<<___;
.extern	__imp_RtlVirtualUnwind
.type	mul_handler,\@abi-omnipotent
.align	16
mul_handler:
	push	%rsi
	push	%rdi
	push	%rbx
	push	%rbp
	push	%r12
	push	%r13
	push	%r14
	push	%r15
	pushfq
	sub	\$64,%rsp

	mov	120($context),%rax	# pull context->Rax
	mov	248($context),%rbx	# pull context->Rip

	mov	8($disp),%rsi		# disp->ImageBase
	mov	56($disp),%r11		# disp->HandlerData

	mov	0(%r11),%r10d		# HandlerData[0]
	lea	(%rsi,%r10),%r10	# end of prologue label
	cmp	%r10,%rbx		# context->Rip<end of prologue label
	jb	.Lcommon_seh_tail

	mov	152($context),%rax	# pull context->Rsp

	mov	4(%r11),%r10d		# HandlerData[1]
	lea	(%rsi,%r10),%r10	# epilogue label
	cmp	%r10,%rbx		# context->Rip>=epilogue label
	jae	.Lcommon_seh_tail

	mov	192($context),%r10	# pull $num
	mov	8(%rax,%r10,8),%rax	# pull saved stack pointer
	lea	48(%rax),%rax

	mov	-8(%rax),%rbx
	mov	-16(%rax),%rbp
	mov	-24(%rax),%r12
	mov	-32(%rax),%r13
	mov	-40(%rax),%r14
	mov	-48(%rax),%r15
	mov	%rbx,144($context)	# restore context->Rbx
	mov	%rbp,160($context)	# restore context->Rbp
	mov	%r12,216($context)	# restore context->R12
	mov	%r13,224($context)	# restore context->R13
	mov	%r14,232($context)	# restore context->R14
	mov	%r15,240($context)	# restore context->R15

	jmp	.Lcommon_seh_tail
.size	mul_handler,.-mul_handler

.type	sqr_handler,\@abi-omnipotent
.align	16
sqr_handler:
	push	%rsi
	push	%rdi
	push	%rbx
	push	%rbp
	push	%r12
	push	%r13
	push	%r14
	push	%r15
	pushfq
	sub	\$64,%rsp

	mov	120($context),%rax	# pull context->Rax
	mov	248($context),%rbx	# pull context->Rip

	mov	8($disp),%rsi		# disp->ImageBase
	mov	56($disp),%r11		# disp->HandlerData

	mov	0(%r11),%r10d		# HandlerData[0]
	lea	(%rsi,%r10),%r10	# end of prologue label
	cmp	%r10,%rbx		# context->Rip<.Lsqr_body
	jb	.Lcommon_seh_tail

	mov	152($context),%rax	# pull context->Rsp

	mov	4(%r11),%r10d		# HandlerData[1]
	lea	(%rsi,%r10),%r10	# epilogue label
	cmp	%r10,%rbx		# context->Rip>=.Lsqr_epilogue
	jae	.Lcommon_seh_tail

	mov	40(%rax),%rax		# pull saved stack pointer

	mov	-8(%rax),%rbx
	mov	-16(%rax),%rbp
	mov	-24(%rax),%r12
	mov	-32(%rax),%r13
	mov	-40(%rax),%r14
	mov	-48(%rax),%r15
	mov	%rbx,144($context)	# restore context->Rbx
	mov	%rbp,160($context)	# restore context->Rbp
	mov	%r12,216($context)	# restore context->R12
	mov	%r13,224($context)	# restore context->R13
	mov	%r14,232($context)	# restore context->R14
	mov	%r15,240($context)	# restore context->R15

.Lcommon_seh_tail:
	mov	8(%rax),%rdi
	mov	16(%rax),%rsi
	mov	%rax,152($context)	# restore context->Rsp
	mov	%rsi,168($context)	# restore context->Rsi
	mov	%rdi,176($context)	# restore context->Rdi

	mov	40($disp),%rdi		# disp->ContextRecord
	mov	$context,%rsi		# context
	mov	\$154,%ecx		# sizeof(CONTEXT)
	.long	0xa548f3fc		# cld; rep movsq

	mov	$disp,%rsi
	xor	%rcx,%rcx		# arg1, UNW_FLAG_NHANDLER
	mov	8(%rsi),%rdx		# arg2, disp->ImageBase
	mov	0(%rsi),%r8		# arg3, disp->ControlPc
	mov	16(%rsi),%r9		# arg4, disp->FunctionEntry
	mov	40(%rsi),%r10		# disp->ContextRecord
	lea	56(%rsi),%r11		# &disp->HandlerData
	lea	24(%rsi),%r12		# &disp->EstablisherFrame
	mov	%r10,32(%rsp)		# arg5
	mov	%r11,40(%rsp)		# arg6
	mov	%r12,48(%rsp)		# arg7
	mov	%rcx,56(%rsp)		# arg8, (NULL)
	call	*__imp_RtlVirtualUnwind(%rip)

	mov	\$1,%eax		# ExceptionContinueSearch
	add	\$64,%rsp
	popfq
	pop	%r15
	pop	%r14
	pop	%r13
	pop	%r12
	pop	%rbp
	pop	%rbx
	pop	%rdi
	pop	%rsi
	ret
.size	sqr_handler,.-sqr_handler

.section	.pdata
.align	4
	.rva	.LSEH_begin_bn_mul_mont
	.rva	.LSEH_end_bn_mul_mont
	.rva	.LSEH_info_bn_mul_mont

	.rva	.LSEH_begin_bn_mul4x_mont
	.rva	.LSEH_end_bn_mul4x_mont
	.rva	.LSEH_info_bn_mul4x_mont

	.rva	.LSEH_begin_bn_sqr8x_mont
	.rva	.LSEH_end_bn_sqr8x_mont
	.rva	.LSEH_info_bn_sqr8x_mont
___
$code.=<<___ if ($addx);
	.rva	.LSEH_begin_bn_mulx4x_mont
	.rva	.LSEH_end_bn_mulx4x_mont
	.rva	.LSEH_info_bn_mulx4x_mont
___
$code.=<<___;
.section	.xdata
.align	8
.LSEH_info_bn_mul_mont:
	.byte	9,0,0,0
	.rva	mul_handler
	.rva	.Lmul_body,.Lmul_epilogue	# HandlerData[]
.LSEH_info_bn_mul4x_mont:
	.byte	9,0,0,0
	.rva	mul_handler
	.rva	.Lmul4x_body,.Lmul4x_epilogue	# HandlerData[]
.LSEH_info_bn_sqr8x_mont:
	.byte	9,0,0,0
	.rva	sqr_handler
	.rva	.Lsqr8x_body,.Lsqr8x_epilogue	# HandlerData[]
___
$code.=<<___ if ($addx);
.LSEH_info_bn_mulx4x_mont:
	.byte	9,0,0,0
	.rva	sqr_handler
	.rva	.Lmulx4x_body,.Lmulx4x_epilogue	# HandlerData[]
___
}

print $code;
close STDOUT;