armv4-mont.pl
19.2 KB
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
#! /usr/bin/env perl
# Copyright 2007-2018 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the OpenSSL license (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
# in the file LICENSE in the source distribution or at
# https://www.openssl.org/source/license.html
# ====================================================================
# 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/.
# ====================================================================
# January 2007.
# Montgomery multiplication for ARMv4.
#
# Performance improvement naturally varies among CPU implementations
# and compilers. The code was observed to provide +65-35% improvement
# [depending on key length, less for longer keys] on ARM920T, and
# +115-80% on Intel IXP425. This is compared to pre-bn_mul_mont code
# base and compiler generated code with in-lined umull and even umlal
# instructions. The latter means that this code didn't really have an
# "advantage" of utilizing some "secret" instruction.
#
# The code is interoperable with Thumb ISA and is rather compact, less
# than 1/2KB. Windows CE port would be trivial, as it's exclusively
# about decorations, ABI and instruction syntax are identical.
# November 2013
#
# Add NEON code path, which handles lengths divisible by 8. RSA/DSA
# performance improvement on Cortex-A8 is ~45-100% depending on key
# length, more for longer keys. On Cortex-A15 the span is ~10-105%.
# On Snapdragon S4 improvement was measured to vary from ~70% to
# incredible ~380%, yes, 4.8x faster, for RSA4096 sign. But this is
# rather because original integer-only code seems to perform
# suboptimally on S4. Situation on Cortex-A9 is unfortunately
# different. It's being looked into, but the trouble is that
# performance for vectors longer than 256 bits is actually couple
# of percent worse than for integer-only code. The code is chosen
# for execution on all NEON-capable processors, because gain on
# others outweighs the marginal loss on Cortex-A9.
# September 2015
#
# Align Cortex-A9 performance with November 2013 improvements, i.e.
# NEON code is now ~20-105% faster than integer-only one on this
# processor. But this optimization further improved performance even
# on other processors: NEON code path is ~45-180% faster than original
# integer-only on Cortex-A8, ~10-210% on Cortex-A15, ~70-450% on
# Snapdragon S4.
$flavour = shift;
if ($flavour=~/\w[\w\-]*\.\w+$/) { $output=$flavour; undef $flavour; }
else { while (($output=shift) && ($output!~/\w[\w\-]*\.\w+$/)) {} }
if ($flavour && $flavour ne "void") {
$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
( $xlate="${dir}arm-xlate.pl" and -f $xlate ) or
( $xlate="${dir}../../perlasm/arm-xlate.pl" and -f $xlate) or
die "can't locate arm-xlate.pl";
open STDOUT,"| \"$^X\" $xlate $flavour $output";
} else {
open STDOUT,">$output";
}
$num="r0"; # starts as num argument, but holds &tp[num-1]
$ap="r1";
$bp="r2"; $bi="r2"; $rp="r2";
$np="r3";
$tp="r4";
$aj="r5";
$nj="r6";
$tj="r7";
$n0="r8";
########### # r9 is reserved by ELF as platform specific, e.g. TLS pointer
$alo="r10"; # sl, gcc uses it to keep @GOT
$ahi="r11"; # fp
$nlo="r12"; # ip
########### # r13 is stack pointer
$nhi="r14"; # lr
########### # r15 is program counter
#### argument block layout relative to &tp[num-1], a.k.a. $num
$_rp="$num,#12*4";
# ap permanently resides in r1
$_bp="$num,#13*4";
# np permanently resides in r3
$_n0="$num,#14*4";
$_num="$num,#15*4"; $_bpend=$_num;
$code=<<___;
#include "arm_arch.h"
.text
#if defined(__thumb2__)
.syntax unified
.thumb
#else
.code 32
#endif
#if __ARM_MAX_ARCH__>=7
.align 5
.LOPENSSL_armcap:
.word OPENSSL_armcap_P-.Lbn_mul_mont
#endif
.global bn_mul_mont
.type bn_mul_mont,%function
.align 5
bn_mul_mont:
.Lbn_mul_mont:
ldr ip,[sp,#4] @ load num
stmdb sp!,{r0,r2} @ sp points at argument block
#if __ARM_MAX_ARCH__>=7
tst ip,#7
bne .Lialu
adr r0,.Lbn_mul_mont
ldr r2,.LOPENSSL_armcap
ldr r0,[r0,r2]
#ifdef __APPLE__
ldr r0,[r0]
#endif
tst r0,#ARMV7_NEON @ NEON available?
ldmia sp, {r0,r2}
beq .Lialu
add sp,sp,#8
b bn_mul8x_mont_neon
.align 4
.Lialu:
#endif
cmp ip,#2
mov $num,ip @ load num
#ifdef __thumb2__
ittt lt
#endif
movlt r0,#0
addlt sp,sp,#2*4
blt .Labrt
stmdb sp!,{r4-r12,lr} @ save 10 registers
mov $num,$num,lsl#2 @ rescale $num for byte count
sub sp,sp,$num @ alloca(4*num)
sub sp,sp,#4 @ +extra dword
sub $num,$num,#4 @ "num=num-1"
add $tp,$bp,$num @ &bp[num-1]
add $num,sp,$num @ $num to point at &tp[num-1]
ldr $n0,[$_n0] @ &n0
ldr $bi,[$bp] @ bp[0]
ldr $aj,[$ap],#4 @ ap[0],ap++
ldr $nj,[$np],#4 @ np[0],np++
ldr $n0,[$n0] @ *n0
str $tp,[$_bpend] @ save &bp[num]
umull $alo,$ahi,$aj,$bi @ ap[0]*bp[0]
str $n0,[$_n0] @ save n0 value
mul $n0,$alo,$n0 @ "tp[0]"*n0
mov $nlo,#0
umlal $alo,$nlo,$nj,$n0 @ np[0]*n0+"t[0]"
mov $tp,sp
.L1st:
ldr $aj,[$ap],#4 @ ap[j],ap++
mov $alo,$ahi
ldr $nj,[$np],#4 @ np[j],np++
mov $ahi,#0
umlal $alo,$ahi,$aj,$bi @ ap[j]*bp[0]
mov $nhi,#0
umlal $nlo,$nhi,$nj,$n0 @ np[j]*n0
adds $nlo,$nlo,$alo
str $nlo,[$tp],#4 @ tp[j-1]=,tp++
adc $nlo,$nhi,#0
cmp $tp,$num
bne .L1st
adds $nlo,$nlo,$ahi
ldr $tp,[$_bp] @ restore bp
mov $nhi,#0
ldr $n0,[$_n0] @ restore n0
adc $nhi,$nhi,#0
str $nlo,[$num] @ tp[num-1]=
mov $tj,sp
str $nhi,[$num,#4] @ tp[num]=
.Louter:
sub $tj,$num,$tj @ "original" $num-1 value
sub $ap,$ap,$tj @ "rewind" ap to &ap[1]
ldr $bi,[$tp,#4]! @ *(++bp)
sub $np,$np,$tj @ "rewind" np to &np[1]
ldr $aj,[$ap,#-4] @ ap[0]
ldr $alo,[sp] @ tp[0]
ldr $nj,[$np,#-4] @ np[0]
ldr $tj,[sp,#4] @ tp[1]
mov $ahi,#0
umlal $alo,$ahi,$aj,$bi @ ap[0]*bp[i]+tp[0]
str $tp,[$_bp] @ save bp
mul $n0,$alo,$n0
mov $nlo,#0
umlal $alo,$nlo,$nj,$n0 @ np[0]*n0+"tp[0]"
mov $tp,sp
.Linner:
ldr $aj,[$ap],#4 @ ap[j],ap++
adds $alo,$ahi,$tj @ +=tp[j]
ldr $nj,[$np],#4 @ np[j],np++
mov $ahi,#0
umlal $alo,$ahi,$aj,$bi @ ap[j]*bp[i]
mov $nhi,#0
umlal $nlo,$nhi,$nj,$n0 @ np[j]*n0
adc $ahi,$ahi,#0
ldr $tj,[$tp,#8] @ tp[j+1]
adds $nlo,$nlo,$alo
str $nlo,[$tp],#4 @ tp[j-1]=,tp++
adc $nlo,$nhi,#0
cmp $tp,$num
bne .Linner
adds $nlo,$nlo,$ahi
mov $nhi,#0
ldr $tp,[$_bp] @ restore bp
adc $nhi,$nhi,#0
ldr $n0,[$_n0] @ restore n0
adds $nlo,$nlo,$tj
ldr $tj,[$_bpend] @ restore &bp[num]
adc $nhi,$nhi,#0
str $nlo,[$num] @ tp[num-1]=
str $nhi,[$num,#4] @ tp[num]=
cmp $tp,$tj
#ifdef __thumb2__
itt ne
#endif
movne $tj,sp
bne .Louter
ldr $rp,[$_rp] @ pull rp
mov $aj,sp
add $num,$num,#4 @ $num to point at &tp[num]
sub $aj,$num,$aj @ "original" num value
mov $tp,sp @ "rewind" $tp
mov $ap,$tp @ "borrow" $ap
sub $np,$np,$aj @ "rewind" $np to &np[0]
subs $tj,$tj,$tj @ "clear" carry flag
.Lsub: ldr $tj,[$tp],#4
ldr $nj,[$np],#4
sbcs $tj,$tj,$nj @ tp[j]-np[j]
str $tj,[$rp],#4 @ rp[j]=
teq $tp,$num @ preserve carry
bne .Lsub
sbcs $nhi,$nhi,#0 @ upmost carry
mov $tp,sp @ "rewind" $tp
sub $rp,$rp,$aj @ "rewind" $rp
.Lcopy: ldr $tj,[$tp] @ conditional copy
ldr $aj,[$rp]
str sp,[$tp],#4 @ zap tp
#ifdef __thumb2__
it cc
#endif
movcc $aj,$tj
str $aj,[$rp],#4
teq $tp,$num @ preserve carry
bne .Lcopy
mov sp,$num
add sp,sp,#4 @ skip over tp[num+1]
ldmia sp!,{r4-r12,lr} @ restore registers
add sp,sp,#2*4 @ skip over {r0,r2}
mov r0,#1
.Labrt:
#if __ARM_ARCH__>=5
ret @ bx lr
#else
tst lr,#1
moveq pc,lr @ be binary compatible with V4, yet
bx lr @ interoperable with Thumb ISA:-)
#endif
.size bn_mul_mont,.-bn_mul_mont
___
{
my ($A0,$A1,$A2,$A3)=map("d$_",(0..3));
my ($N0,$N1,$N2,$N3)=map("d$_",(4..7));
my ($Z,$Temp)=("q4","q5");
my @ACC=map("q$_",(6..13));
my ($Bi,$Ni,$M0)=map("d$_",(28..31));
my $zero="$Z#lo";
my $temp="$Temp#lo";
my ($rptr,$aptr,$bptr,$nptr,$n0,$num)=map("r$_",(0..5));
my ($tinptr,$toutptr,$inner,$outer,$bnptr)=map("r$_",(6..11));
$code.=<<___;
#if __ARM_MAX_ARCH__>=7
.arch armv7-a
.fpu neon
.type bn_mul8x_mont_neon,%function
.align 5
bn_mul8x_mont_neon:
mov ip,sp
stmdb sp!,{r4-r11}
vstmdb sp!,{d8-d15} @ ABI specification says so
ldmia ip,{r4-r5} @ load rest of parameter block
mov ip,sp
cmp $num,#8
bhi .LNEON_8n
@ special case for $num==8, everything is in register bank...
vld1.32 {${Bi}[0]}, [$bptr,:32]!
veor $zero,$zero,$zero
sub $toutptr,sp,$num,lsl#4
vld1.32 {$A0-$A3}, [$aptr]! @ can't specify :32 :-(
and $toutptr,$toutptr,#-64
vld1.32 {${M0}[0]}, [$n0,:32]
mov sp,$toutptr @ alloca
vzip.16 $Bi,$zero
vmull.u32 @ACC[0],$Bi,${A0}[0]
vmull.u32 @ACC[1],$Bi,${A0}[1]
vmull.u32 @ACC[2],$Bi,${A1}[0]
vshl.i64 $Ni,@ACC[0]#hi,#16
vmull.u32 @ACC[3],$Bi,${A1}[1]
vadd.u64 $Ni,$Ni,@ACC[0]#lo
veor $zero,$zero,$zero
vmul.u32 $Ni,$Ni,$M0
vmull.u32 @ACC[4],$Bi,${A2}[0]
vld1.32 {$N0-$N3}, [$nptr]!
vmull.u32 @ACC[5],$Bi,${A2}[1]
vmull.u32 @ACC[6],$Bi,${A3}[0]
vzip.16 $Ni,$zero
vmull.u32 @ACC[7],$Bi,${A3}[1]
vmlal.u32 @ACC[0],$Ni,${N0}[0]
sub $outer,$num,#1
vmlal.u32 @ACC[1],$Ni,${N0}[1]
vmlal.u32 @ACC[2],$Ni,${N1}[0]
vmlal.u32 @ACC[3],$Ni,${N1}[1]
vmlal.u32 @ACC[4],$Ni,${N2}[0]
vmov $Temp,@ACC[0]
vmlal.u32 @ACC[5],$Ni,${N2}[1]
vmov @ACC[0],@ACC[1]
vmlal.u32 @ACC[6],$Ni,${N3}[0]
vmov @ACC[1],@ACC[2]
vmlal.u32 @ACC[7],$Ni,${N3}[1]
vmov @ACC[2],@ACC[3]
vmov @ACC[3],@ACC[4]
vshr.u64 $temp,$temp,#16
vmov @ACC[4],@ACC[5]
vmov @ACC[5],@ACC[6]
vadd.u64 $temp,$temp,$Temp#hi
vmov @ACC[6],@ACC[7]
veor @ACC[7],@ACC[7]
vshr.u64 $temp,$temp,#16
b .LNEON_outer8
.align 4
.LNEON_outer8:
vld1.32 {${Bi}[0]}, [$bptr,:32]!
veor $zero,$zero,$zero
vzip.16 $Bi,$zero
vadd.u64 @ACC[0]#lo,@ACC[0]#lo,$temp
vmlal.u32 @ACC[0],$Bi,${A0}[0]
vmlal.u32 @ACC[1],$Bi,${A0}[1]
vmlal.u32 @ACC[2],$Bi,${A1}[0]
vshl.i64 $Ni,@ACC[0]#hi,#16
vmlal.u32 @ACC[3],$Bi,${A1}[1]
vadd.u64 $Ni,$Ni,@ACC[0]#lo
veor $zero,$zero,$zero
subs $outer,$outer,#1
vmul.u32 $Ni,$Ni,$M0
vmlal.u32 @ACC[4],$Bi,${A2}[0]
vmlal.u32 @ACC[5],$Bi,${A2}[1]
vmlal.u32 @ACC[6],$Bi,${A3}[0]
vzip.16 $Ni,$zero
vmlal.u32 @ACC[7],$Bi,${A3}[1]
vmlal.u32 @ACC[0],$Ni,${N0}[0]
vmlal.u32 @ACC[1],$Ni,${N0}[1]
vmlal.u32 @ACC[2],$Ni,${N1}[0]
vmlal.u32 @ACC[3],$Ni,${N1}[1]
vmlal.u32 @ACC[4],$Ni,${N2}[0]
vmov $Temp,@ACC[0]
vmlal.u32 @ACC[5],$Ni,${N2}[1]
vmov @ACC[0],@ACC[1]
vmlal.u32 @ACC[6],$Ni,${N3}[0]
vmov @ACC[1],@ACC[2]
vmlal.u32 @ACC[7],$Ni,${N3}[1]
vmov @ACC[2],@ACC[3]
vmov @ACC[3],@ACC[4]
vshr.u64 $temp,$temp,#16
vmov @ACC[4],@ACC[5]
vmov @ACC[5],@ACC[6]
vadd.u64 $temp,$temp,$Temp#hi
vmov @ACC[6],@ACC[7]
veor @ACC[7],@ACC[7]
vshr.u64 $temp,$temp,#16
bne .LNEON_outer8
vadd.u64 @ACC[0]#lo,@ACC[0]#lo,$temp
mov $toutptr,sp
vshr.u64 $temp,@ACC[0]#lo,#16
mov $inner,$num
vadd.u64 @ACC[0]#hi,@ACC[0]#hi,$temp
add $tinptr,sp,#96
vshr.u64 $temp,@ACC[0]#hi,#16
vzip.16 @ACC[0]#lo,@ACC[0]#hi
b .LNEON_tail_entry
.align 4
.LNEON_8n:
veor @ACC[0],@ACC[0],@ACC[0]
sub $toutptr,sp,#128
veor @ACC[1],@ACC[1],@ACC[1]
sub $toutptr,$toutptr,$num,lsl#4
veor @ACC[2],@ACC[2],@ACC[2]
and $toutptr,$toutptr,#-64
veor @ACC[3],@ACC[3],@ACC[3]
mov sp,$toutptr @ alloca
veor @ACC[4],@ACC[4],@ACC[4]
add $toutptr,$toutptr,#256
veor @ACC[5],@ACC[5],@ACC[5]
sub $inner,$num,#8
veor @ACC[6],@ACC[6],@ACC[6]
veor @ACC[7],@ACC[7],@ACC[7]
.LNEON_8n_init:
vst1.64 {@ACC[0]-@ACC[1]},[$toutptr,:256]!
subs $inner,$inner,#8
vst1.64 {@ACC[2]-@ACC[3]},[$toutptr,:256]!
vst1.64 {@ACC[4]-@ACC[5]},[$toutptr,:256]!
vst1.64 {@ACC[6]-@ACC[7]},[$toutptr,:256]!
bne .LNEON_8n_init
add $tinptr,sp,#256
vld1.32 {$A0-$A3},[$aptr]!
add $bnptr,sp,#8
vld1.32 {${M0}[0]},[$n0,:32]
mov $outer,$num
b .LNEON_8n_outer
.align 4
.LNEON_8n_outer:
vld1.32 {${Bi}[0]},[$bptr,:32]! @ *b++
veor $zero,$zero,$zero
vzip.16 $Bi,$zero
add $toutptr,sp,#128
vld1.32 {$N0-$N3},[$nptr]!
vmlal.u32 @ACC[0],$Bi,${A0}[0]
vmlal.u32 @ACC[1],$Bi,${A0}[1]
veor $zero,$zero,$zero
vmlal.u32 @ACC[2],$Bi,${A1}[0]
vshl.i64 $Ni,@ACC[0]#hi,#16
vmlal.u32 @ACC[3],$Bi,${A1}[1]
vadd.u64 $Ni,$Ni,@ACC[0]#lo
vmlal.u32 @ACC[4],$Bi,${A2}[0]
vmul.u32 $Ni,$Ni,$M0
vmlal.u32 @ACC[5],$Bi,${A2}[1]
vst1.32 {$Bi},[sp,:64] @ put aside smashed b[8*i+0]
vmlal.u32 @ACC[6],$Bi,${A3}[0]
vzip.16 $Ni,$zero
vmlal.u32 @ACC[7],$Bi,${A3}[1]
___
for ($i=0; $i<7;) {
$code.=<<___;
vld1.32 {${Bi}[0]},[$bptr,:32]! @ *b++
vmlal.u32 @ACC[0],$Ni,${N0}[0]
veor $temp,$temp,$temp
vmlal.u32 @ACC[1],$Ni,${N0}[1]
vzip.16 $Bi,$temp
vmlal.u32 @ACC[2],$Ni,${N1}[0]
vshr.u64 @ACC[0]#lo,@ACC[0]#lo,#16
vmlal.u32 @ACC[3],$Ni,${N1}[1]
vmlal.u32 @ACC[4],$Ni,${N2}[0]
vadd.u64 @ACC[0]#lo,@ACC[0]#lo,@ACC[0]#hi
vmlal.u32 @ACC[5],$Ni,${N2}[1]
vshr.u64 @ACC[0]#lo,@ACC[0]#lo,#16
vmlal.u32 @ACC[6],$Ni,${N3}[0]
vmlal.u32 @ACC[7],$Ni,${N3}[1]
vadd.u64 @ACC[1]#lo,@ACC[1]#lo,@ACC[0]#lo
vst1.32 {$Ni},[$bnptr,:64]! @ put aside smashed m[8*i+$i]
___
push(@ACC,shift(@ACC)); $i++;
$code.=<<___;
vmlal.u32 @ACC[0],$Bi,${A0}[0]
vld1.64 {@ACC[7]},[$tinptr,:128]!
vmlal.u32 @ACC[1],$Bi,${A0}[1]
veor $zero,$zero,$zero
vmlal.u32 @ACC[2],$Bi,${A1}[0]
vshl.i64 $Ni,@ACC[0]#hi,#16
vmlal.u32 @ACC[3],$Bi,${A1}[1]
vadd.u64 $Ni,$Ni,@ACC[0]#lo
vmlal.u32 @ACC[4],$Bi,${A2}[0]
vmul.u32 $Ni,$Ni,$M0
vmlal.u32 @ACC[5],$Bi,${A2}[1]
vst1.32 {$Bi},[$bnptr,:64]! @ put aside smashed b[8*i+$i]
vmlal.u32 @ACC[6],$Bi,${A3}[0]
vzip.16 $Ni,$zero
vmlal.u32 @ACC[7],$Bi,${A3}[1]
___
}
$code.=<<___;
vld1.32 {$Bi},[sp,:64] @ pull smashed b[8*i+0]
vmlal.u32 @ACC[0],$Ni,${N0}[0]
vld1.32 {$A0-$A3},[$aptr]!
vmlal.u32 @ACC[1],$Ni,${N0}[1]
vmlal.u32 @ACC[2],$Ni,${N1}[0]
vshr.u64 @ACC[0]#lo,@ACC[0]#lo,#16
vmlal.u32 @ACC[3],$Ni,${N1}[1]
vmlal.u32 @ACC[4],$Ni,${N2}[0]
vadd.u64 @ACC[0]#lo,@ACC[0]#lo,@ACC[0]#hi
vmlal.u32 @ACC[5],$Ni,${N2}[1]
vshr.u64 @ACC[0]#lo,@ACC[0]#lo,#16
vmlal.u32 @ACC[6],$Ni,${N3}[0]
vmlal.u32 @ACC[7],$Ni,${N3}[1]
vadd.u64 @ACC[1]#lo,@ACC[1]#lo,@ACC[0]#lo
vst1.32 {$Ni},[$bnptr,:64] @ put aside smashed m[8*i+$i]
add $bnptr,sp,#8 @ rewind
___
push(@ACC,shift(@ACC));
$code.=<<___;
sub $inner,$num,#8
b .LNEON_8n_inner
.align 4
.LNEON_8n_inner:
subs $inner,$inner,#8
vmlal.u32 @ACC[0],$Bi,${A0}[0]
vld1.64 {@ACC[7]},[$tinptr,:128]
vmlal.u32 @ACC[1],$Bi,${A0}[1]
vld1.32 {$Ni},[$bnptr,:64]! @ pull smashed m[8*i+0]
vmlal.u32 @ACC[2],$Bi,${A1}[0]
vld1.32 {$N0-$N3},[$nptr]!
vmlal.u32 @ACC[3],$Bi,${A1}[1]
it ne
addne $tinptr,$tinptr,#16 @ don't advance in last iteration
vmlal.u32 @ACC[4],$Bi,${A2}[0]
vmlal.u32 @ACC[5],$Bi,${A2}[1]
vmlal.u32 @ACC[6],$Bi,${A3}[0]
vmlal.u32 @ACC[7],$Bi,${A3}[1]
___
for ($i=1; $i<8; $i++) {
$code.=<<___;
vld1.32 {$Bi},[$bnptr,:64]! @ pull smashed b[8*i+$i]
vmlal.u32 @ACC[0],$Ni,${N0}[0]
vmlal.u32 @ACC[1],$Ni,${N0}[1]
vmlal.u32 @ACC[2],$Ni,${N1}[0]
vmlal.u32 @ACC[3],$Ni,${N1}[1]
vmlal.u32 @ACC[4],$Ni,${N2}[0]
vmlal.u32 @ACC[5],$Ni,${N2}[1]
vmlal.u32 @ACC[6],$Ni,${N3}[0]
vmlal.u32 @ACC[7],$Ni,${N3}[1]
vst1.64 {@ACC[0]},[$toutptr,:128]!
___
push(@ACC,shift(@ACC));
$code.=<<___;
vmlal.u32 @ACC[0],$Bi,${A0}[0]
vld1.64 {@ACC[7]},[$tinptr,:128]
vmlal.u32 @ACC[1],$Bi,${A0}[1]
vld1.32 {$Ni},[$bnptr,:64]! @ pull smashed m[8*i+$i]
vmlal.u32 @ACC[2],$Bi,${A1}[0]
it ne
addne $tinptr,$tinptr,#16 @ don't advance in last iteration
vmlal.u32 @ACC[3],$Bi,${A1}[1]
vmlal.u32 @ACC[4],$Bi,${A2}[0]
vmlal.u32 @ACC[5],$Bi,${A2}[1]
vmlal.u32 @ACC[6],$Bi,${A3}[0]
vmlal.u32 @ACC[7],$Bi,${A3}[1]
___
}
$code.=<<___;
it eq
subeq $aptr,$aptr,$num,lsl#2 @ rewind
vmlal.u32 @ACC[0],$Ni,${N0}[0]
vld1.32 {$Bi},[sp,:64] @ pull smashed b[8*i+0]
vmlal.u32 @ACC[1],$Ni,${N0}[1]
vld1.32 {$A0-$A3},[$aptr]!
vmlal.u32 @ACC[2],$Ni,${N1}[0]
add $bnptr,sp,#8 @ rewind
vmlal.u32 @ACC[3],$Ni,${N1}[1]
vmlal.u32 @ACC[4],$Ni,${N2}[0]
vmlal.u32 @ACC[5],$Ni,${N2}[1]
vmlal.u32 @ACC[6],$Ni,${N3}[0]
vst1.64 {@ACC[0]},[$toutptr,:128]!
vmlal.u32 @ACC[7],$Ni,${N3}[1]
bne .LNEON_8n_inner
___
push(@ACC,shift(@ACC));
$code.=<<___;
add $tinptr,sp,#128
vst1.64 {@ACC[0]-@ACC[1]},[$toutptr,:256]!
veor q2,q2,q2 @ $N0-$N1
vst1.64 {@ACC[2]-@ACC[3]},[$toutptr,:256]!
veor q3,q3,q3 @ $N2-$N3
vst1.64 {@ACC[4]-@ACC[5]},[$toutptr,:256]!
vst1.64 {@ACC[6]},[$toutptr,:128]
subs $outer,$outer,#8
vld1.64 {@ACC[0]-@ACC[1]},[$tinptr,:256]!
vld1.64 {@ACC[2]-@ACC[3]},[$tinptr,:256]!
vld1.64 {@ACC[4]-@ACC[5]},[$tinptr,:256]!
vld1.64 {@ACC[6]-@ACC[7]},[$tinptr,:256]!
itt ne
subne $nptr,$nptr,$num,lsl#2 @ rewind
bne .LNEON_8n_outer
add $toutptr,sp,#128
vst1.64 {q2-q3}, [sp,:256]! @ start wiping stack frame
vshr.u64 $temp,@ACC[0]#lo,#16
vst1.64 {q2-q3},[sp,:256]!
vadd.u64 @ACC[0]#hi,@ACC[0]#hi,$temp
vst1.64 {q2-q3}, [sp,:256]!
vshr.u64 $temp,@ACC[0]#hi,#16
vst1.64 {q2-q3}, [sp,:256]!
vzip.16 @ACC[0]#lo,@ACC[0]#hi
mov $inner,$num
b .LNEON_tail_entry
.align 4
.LNEON_tail:
vadd.u64 @ACC[0]#lo,@ACC[0]#lo,$temp
vshr.u64 $temp,@ACC[0]#lo,#16
vld1.64 {@ACC[2]-@ACC[3]}, [$tinptr, :256]!
vadd.u64 @ACC[0]#hi,@ACC[0]#hi,$temp
vld1.64 {@ACC[4]-@ACC[5]}, [$tinptr, :256]!
vshr.u64 $temp,@ACC[0]#hi,#16
vld1.64 {@ACC[6]-@ACC[7]}, [$tinptr, :256]!
vzip.16 @ACC[0]#lo,@ACC[0]#hi
.LNEON_tail_entry:
___
for ($i=1; $i<8; $i++) {
$code.=<<___;
vadd.u64 @ACC[1]#lo,@ACC[1]#lo,$temp
vst1.32 {@ACC[0]#lo[0]}, [$toutptr, :32]!
vshr.u64 $temp,@ACC[1]#lo,#16
vadd.u64 @ACC[1]#hi,@ACC[1]#hi,$temp
vshr.u64 $temp,@ACC[1]#hi,#16
vzip.16 @ACC[1]#lo,@ACC[1]#hi
___
push(@ACC,shift(@ACC));
}
push(@ACC,shift(@ACC));
$code.=<<___;
vld1.64 {@ACC[0]-@ACC[1]}, [$tinptr, :256]!
subs $inner,$inner,#8
vst1.32 {@ACC[7]#lo[0]}, [$toutptr, :32]!
bne .LNEON_tail
vst1.32 {${temp}[0]}, [$toutptr, :32] @ top-most bit
sub $nptr,$nptr,$num,lsl#2 @ rewind $nptr
subs $aptr,sp,#0 @ clear carry flag
add $bptr,sp,$num,lsl#2
.LNEON_sub:
ldmia $aptr!, {r4-r7}
ldmia $nptr!, {r8-r11}
sbcs r8, r4,r8
sbcs r9, r5,r9
sbcs r10,r6,r10
sbcs r11,r7,r11
teq $aptr,$bptr @ preserves carry
stmia $rptr!, {r8-r11}
bne .LNEON_sub
ldr r10, [$aptr] @ load top-most bit
mov r11,sp
veor q0,q0,q0
sub r11,$bptr,r11 @ this is num*4
veor q1,q1,q1
mov $aptr,sp
sub $rptr,$rptr,r11 @ rewind $rptr
mov $nptr,$bptr @ second 3/4th of frame
sbcs r10,r10,#0 @ result is carry flag
.LNEON_copy_n_zap:
ldmia $aptr!, {r4-r7}
ldmia $rptr, {r8-r11}
it cc
movcc r8, r4
vst1.64 {q0-q1}, [$nptr,:256]! @ wipe
itt cc
movcc r9, r5
movcc r10,r6
vst1.64 {q0-q1}, [$nptr,:256]! @ wipe
it cc
movcc r11,r7
ldmia $aptr, {r4-r7}
stmia $rptr!, {r8-r11}
sub $aptr,$aptr,#16
ldmia $rptr, {r8-r11}
it cc
movcc r8, r4
vst1.64 {q0-q1}, [$aptr,:256]! @ wipe
itt cc
movcc r9, r5
movcc r10,r6
vst1.64 {q0-q1}, [$nptr,:256]! @ wipe
it cc
movcc r11,r7
teq $aptr,$bptr @ preserves carry
stmia $rptr!, {r8-r11}
bne .LNEON_copy_n_zap
mov sp,ip
vldmia sp!,{d8-d15}
ldmia sp!,{r4-r11}
ret @ bx lr
.size bn_mul8x_mont_neon,.-bn_mul8x_mont_neon
#endif
___
}
$code.=<<___;
.asciz "Montgomery multiplication for ARMv4/NEON, CRYPTOGAMS by <appro\@openssl.org>"
.align 2
#if __ARM_MAX_ARCH__>=7
.comm OPENSSL_armcap_P,4,4
#endif
___
foreach (split("\n",$code)) {
s/\`([^\`]*)\`/eval $1/ge;
s/\bq([0-9]+)#(lo|hi)/sprintf "d%d",2*$1+($2 eq "hi")/ge or
s/\bret\b/bx lr/g or
s/\bbx\s+lr\b/.word\t0xe12fff1e/g; # make it possible to compile with -march=armv4
print $_,"\n";
}
close STDOUT;