2 # Copyright 2016-2023 The OpenSSL Project Authors. All Rights Reserved.
4 # Licensed under the Apache License 2.0 (the "License"). You may not use
5 # this file except in compliance with the License. You can obtain a copy
6 # in the file LICENSE in the source distribution or at
7 # https://www.openssl.org/source/license.html
10 # ====================================================================
11 # Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
12 # project. The module is, however, dual licensed under OpenSSL and
13 # CRYPTOGAMS licenses depending on where you obtain it. For further
14 # details see http://www.openssl.org/~appro/cryptogams/.
15 # ====================================================================
17 # IALU(*)/gcc-4.4 NEON
19 # ARM11xx(ARMv6) 7.78/+100% -
20 # Cortex-A5 6.35/+130% 3.00
21 # Cortex-A8 6.25/+115% 2.36
22 # Cortex-A9 5.10/+95% 2.55
23 # Cortex-A15 3.85/+85% 1.25(**)
24 # Snapdragon S4 5.70/+100% 1.48(**)
26 # (*) this is for -march=armv6, i.e. with bunch of ldrb loading data;
27 # (**) these are trade-off results, they can be improved by ~8% but at
28 # the cost of 15/12% regression on Cortex-A5/A7, it's even possible
29 # to improve Cortex-A9 result, but then A5/A7 loose more than 20%;
31 # $output is the last argument if it looks like a file (it has an extension)
32 # $flavour is the first argument if it doesn't look like a file
33 $output = $#ARGV >= 0 && $ARGV[$#ARGV] =~ m
|\
.\w
+$| ?
pop : undef;
34 $flavour = $#ARGV >= 0 && $ARGV[0] !~ m
|\
.| ?
shift : undef;
36 if ($flavour && $flavour ne "void") {
37 $0 =~ m/(.*[\/\\])[^\
/\\]+$/; $dir=$1;
38 ( $xlate="${dir}arm-xlate.pl" and -f
$xlate ) or
39 ( $xlate="${dir}../../perlasm/arm-xlate.pl" and -f
$xlate) or
40 die "can't locate arm-xlate.pl";
42 open STDOUT
,"| \"$^X\" $xlate $flavour \"$output\""
43 or die "can't call $xlate: $!";
45 $output and open STDOUT
,">$output";
48 ($ctx,$inp,$len,$padbit)=map("r$_",(0..3));
53 #if defined(__thumb2__)
63 .globl poly1305_blocks
65 .type poly1305_init
,%function
73 str r3
,[$ctx,#0] @ zero hash value
78 str r3
,[$ctx,#36] @ is_base2_26
87 #if __ARM_MAX_ARCH__>=7
88 adr r11
,.Lpoly1305_init
89 ldr r12
,.LOPENSSL_armcap
94 and r3
,r10
,#-4 @ 0x0ffffffc
105 #if __ARM_MAX_ARCH__>=7
106 # if !defined(_WIN32)
107 ldr r12
,[r11
,r12
] @ OPENSSL_armcap_P
109 # if defined(__APPLE__) || defined(_WIN32)
122 #if __ARM_MAX_ARCH__>=7
123 tst r12
,#ARMV7_NEON @ check for NEON
125 adr r9
,.Lpoly1305_blocks_neon
126 adr r11
,.Lpoly1305_blocks
127 adr r12
,.Lpoly1305_emit
128 adr r10
,.Lpoly1305_emit_neon
132 orr r11
,r11
,#1 @ thumb-ify address
135 addeq r12
,r11
,#(.Lpoly1305_emit-.Lpoly1305_init)
136 addne r12
,r11
,#(.Lpoly1305_emit_neon-.Lpoly1305_init)
137 addeq r11
,r11
,#(.Lpoly1305_blocks-.Lpoly1305_init)
138 addne r11
,r11
,#(.Lpoly1305_blocks_neon-.Lpoly1305_init)
159 #if __ARM_MAX_ARCH__>=7
160 stmia r2
,{r11
,r12
} @ fill functions table
171 moveq pc
,lr @ be binary compatible with V4
, yet
172 bx lr @ interoperable with Thumb ISA
:-)
174 .size poly1305_init
,.-poly1305_init
177 my ($h0,$h1,$h2,$h3,$h4,$r0,$r1,$r2,$r3)=map("r$_",(4..12));
178 my ($s1,$s2,$s3)=($r1,$r2,$r3);
181 .type poly1305_blocks
,%function
185 stmdb sp
!,{r3
-r11
,lr
}
191 add
$len,$len,$inp @ end pointer
194 ldmia
$ctx,{$h0-$r3} @ load context
196 str
$ctx,[sp
,#12] @ offload stuff
206 ldrb r0
,[lr
],#16 @ load input
210 addhi
$h4,$h4,#1 @ 1<<128
220 adds
$h0,$h0,r3 @ accumulate input
242 str lr
,[sp
,#8] @ offload input pointer
244 add
$s1,$r1,$r1,lsr
#2
247 ldr r0
,[lr
],#16 @ load input
251 addhi
$h4,$h4,#1 @ padbit
261 adds
$h0,$h0,r0 @ accumulate input
262 str lr
,[sp
,#8] @ offload input pointer
264 add
$s1,$r1,$r1,lsr
#2
267 add
$s2,$r2,$r2,lsr
#2
269 add
$s3,$r3,$r3,lsr
#2
276 ldr
$r1,[sp
,#20] @ reload $r1
282 str r0
,[sp
,#0] @ future $h0
284 ldr
$r2,[sp
,#24] @ reload $r2
285 adds r2
,r2
,r1 @ d1
+=d0
>>32
287 adc lr
,r3
,#0 @ future $h2
288 str r2
,[sp
,#4] @ future $h1
293 ldr
$r3,[sp
,#28] @ reload $r3
305 adds
$h2,lr
,r0 @ d2
+=d1
>>32
306 ldr lr
,[sp
,#8] @ reload input pointer
308 adds
$h3,r2
,r1 @ d3
+=d2
>>32
309 ldr r0
,[sp
,#16] @ reload end pointer
311 add
$h4,$h4,r3 @ h4
+=d3
>>32
315 add r1
,r1
,r1
,lsr
#2 @ *=5
322 cmp r0
,lr @ done yet?
327 stmia
$ctx,{$h0-$h4} @ store the result
331 ldmia sp
!,{r3
-r11
,pc
}
333 ldmia sp
!,{r3
-r11
,lr
}
335 moveq pc
,lr @ be binary compatible with V4
, yet
336 bx lr @ interoperable with Thumb ISA
:-)
338 .size poly1305_blocks
,.-poly1305_blocks
342 my ($ctx,$mac,$nonce)=map("r$_",(0..2));
343 my ($h0,$h1,$h2,$h3,$h4,$g0,$g1,$g2,$g3)=map("r$_",(3..11));
347 .type poly1305_emit
,%function
352 .Lpoly1305_emit_enter
:
355 adds
$g0,$h0,#5 @ compare to modulus
360 tst
$g4,#4 @ did it carry/borrow?
437 moveq pc
,lr @ be binary compatible with V4
, yet
438 bx lr @ interoperable with Thumb ISA
:-)
440 .size poly1305_emit
,.-poly1305_emit
443 my ($R0,$R1,$S1,$R2,$S2,$R3,$S3,$R4,$S4) = map("d$_",(0..9));
444 my ($D0,$D1,$D2,$D3,$D4, $H0,$H1,$H2,$H3,$H4) = map("q$_",(5..14));
445 my ($T0,$T1,$MASK) = map("q$_",(15,4,0));
447 my ($in2,$zeros,$tbl0,$tbl1) = map("r$_",(4..7));
450 #if __ARM_MAX_ARCH__>=7
453 .type poly1305_init_neon
,%function
456 ldr r4
,[$ctx,#20] @ load key base 2^32
461 and r2
,r4
,#0x03ffffff @ base 2^32 -> base 2^26
469 and r3
,r3
,#0x03ffffff
470 and r4
,r4
,#0x03ffffff
471 and r5
,r5
,#0x03ffffff
473 vdup
.32 $R0,r2 @ r
^1 in both lanes
474 add r2
,r3
,r3
,lsl
#2 @ *5
487 mov
$zeros,#2 @ counter
490 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
491 @ d0
= h0
*r0
+ h4
*5*r1
+ h3
*5*r2
+ h2
*5*r3
+ h1
*5*r4
492 @ d1
= h1
*r0
+ h0
*r1
+ h4
*5*r2
+ h3
*5*r3
+ h2
*5*r4
493 @ d2
= h2
*r0
+ h1
*r1
+ h0
*r2
+ h4
*5*r3
+ h3
*5*r4
494 @ d3
= h3
*r0
+ h2
*r1
+ h1
*r2
+ h0
*r3
+ h4
*5*r4
495 @ d4
= h4
*r0
+ h3
*r1
+ h2
*r2
+ h1
*r3
+ h0
*r4
497 vmull
.u32
$D0,$R0,${R0
}[1]
498 vmull
.u32
$D1,$R1,${R0
}[1]
499 vmull
.u32
$D2,$R2,${R0
}[1]
500 vmull
.u32
$D3,$R3,${R0
}[1]
501 vmull
.u32
$D4,$R4,${R0
}[1]
503 vmlal
.u32
$D0,$R4,${S1
}[1]
504 vmlal
.u32
$D1,$R0,${R1
}[1]
505 vmlal
.u32
$D2,$R1,${R1
}[1]
506 vmlal
.u32
$D3,$R2,${R1
}[1]
507 vmlal
.u32
$D4,$R3,${R1
}[1]
509 vmlal
.u32
$D0,$R3,${S2
}[1]
510 vmlal
.u32
$D1,$R4,${S2
}[1]
511 vmlal
.u32
$D3,$R1,${R2
}[1]
512 vmlal
.u32
$D2,$R0,${R2
}[1]
513 vmlal
.u32
$D4,$R2,${R2
}[1]
515 vmlal
.u32
$D0,$R2,${S3
}[1]
516 vmlal
.u32
$D3,$R0,${R3
}[1]
517 vmlal
.u32
$D1,$R3,${S3
}[1]
518 vmlal
.u32
$D2,$R4,${S3
}[1]
519 vmlal
.u32
$D4,$R1,${R3
}[1]
521 vmlal
.u32
$D3,$R4,${S4
}[1]
522 vmlal
.u32
$D0,$R1,${S4
}[1]
523 vmlal
.u32
$D1,$R2,${S4
}[1]
524 vmlal
.u32
$D2,$R3,${S4
}[1]
525 vmlal
.u32
$D4,$R0,${R4
}[1]
527 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
528 @ lazy reduction as discussed
in "NEON crypto" by D
.J
. Bernstein
531 @ H0
>>+H1
>>+H2
>>+H3
>>+H4
532 @ H3
>>+H4
>>*5+H0
>>+H1
536 @ Result of multiplication of n
-bit number by m
-bit number is
537 @ n
+m bits wide
. However
! Even though
2^n is a n
+1-bit number
,
538 @ m
-bit number multiplied by
2^n is still n
+m bits wide
.
540 @ Sum of two n
-bit numbers is n
+1 bits wide
, sum of three
- n
+2,
541 @
and so is sum of four
. Sum of
2^m n
-m
-bit numbers
and n
-bit
542 @ one is n
+1 bits wide
.
544 @
>>+ denotes Hnext
+= Hn
>>26, Hn
&= 0x3ffffff. This means that
545 @ H0
, H2
, H3 are guaranteed to be
26 bits wide
, while H1
and H4
546 @ can be
27. However
! In cases
when their width exceeds
26 bits
547 @ they are limited by
2^26+2^6. This
in turn means that
*sum
*
548 @ of the products with these
values can still be viewed as sum
549 @ of
52-bit numbers as long as the amount of addends is
not a
550 @ power of
2. For example
,
552 @ H4
= H4
*R0
+ H3
*R1
+ H2
*R2
+ H1
*R3
+ H0
* R4
,
554 @ which can
't be larger than 5 * (2^26 + 2^6) * (2^26 + 2^6), or
555 @ 5 * (2^52 + 2*2^32 + 2^12), which in turn is smaller than
556 @ 8 * (2^52) or 2^55. However, the value is then multiplied by
557 @ by 5, so we should be looking at 5 * 5 * (2^52 + 2^33 + 2^12),
558 @ which is less than 32 * (2^52) or 2^57. And when processing
559 @ data we are looking at triple as many addends...
561 @ In key setup procedure pre-reduced H0 is limited by 5*4+1 and
562 @ 5*H4 - by 5*5 52-bit addends, or 57 bits. But when hashing the
563 @ input H0 is limited by (5*4+1)*3 addends, or 58 bits, while
564 @ 5*H4 by 5*5*3, or 59[!] bits. How is this relevant? vmlal.u32
565 @ instruction accepts 2x32-bit input and writes 2x64-bit result.
566 @ This means that result of reduction have to be compressed upon
567 @ loop wrap-around. This can be done in the process of reduction
568 @ to minimize amount of instructions [as well as amount of
569 @ 128-bit instructions, which benefits low-end processors], but
570 @ one has to watch for H2 (which is narrower than H0) and 5*H4
571 @ not being wider than 58 bits, so that result of right shift
572 @ by 26 bits fits in 32 bits. This is also useful on x86,
573 @ because it allows to use paddd in place for paddq, which
574 @ benefits Atom, where paddq is ridiculously slow.
580 vadd.i64 $D4,$D4,$T0 @ h3 -> h4
581 vbic.i32 $D3#lo,#0xfc000000 @ &=0x03ffffff
582 vadd.i64 $D1,$D1,$T1 @ h0 -> h1
583 vbic.i32 $D0#lo,#0xfc000000
585 vshrn.u64 $T0#lo,$D4,#26
589 vadd.i64 $D2,$D2,$T1 @ h1 -> h2
590 vbic.i32 $D4#lo,#0xfc000000
591 vbic.i32 $D1#lo,#0xfc000000
593 vadd.i32 $D0#lo,$D0#lo,$T0#lo
594 vshl.u32 $T0#lo,$T0#lo,#2
595 vshrn.u64 $T1#lo,$D2,#26
597 vadd.i32 $D0#lo,$D0#lo,$T0#lo @ h4 -> h0
598 vadd.i32 $D3#lo,$D3#lo,$T1#lo @ h2 -> h3
599 vbic.i32 $D2#lo,#0xfc000000
601 vshr.u32 $T0#lo,$D0#lo,#26
602 vbic.i32 $D0#lo,#0xfc000000
603 vshr.u32 $T1#lo,$D3#lo,#26
604 vbic.i32 $D3#lo,#0xfc000000
605 vadd.i32 $D1#lo,$D1#lo,$T0#lo @ h0 -> h1
606 vadd.i32 $D4#lo,$D4#lo,$T1#lo @ h3 -> h4
608 subs $zeros,$zeros,#1
609 beq .Lsquare_break_neon
611 add $tbl0,$ctx,#(48+0*9*4)
612 add $tbl1,$ctx,#(48+1*9*4)
614 vtrn.32 $R0,$D0#lo @ r^2:r^1
620 vshl.u32 $S2,$R2,#2 @ *5
629 vst4.32 {${R0}[0],${R1}[0],${S1}[0],${R2}[0]},[$tbl0]!
630 vst4.32 {${R0}[1],${R1}[1],${S1}[1],${R2}[1]},[$tbl1]!
631 vst4.32 {${S2}[0],${R3}[0],${S3}[0],${R4}[0]},[$tbl0]!
632 vst4.32 {${S2}[1],${R3}[1],${S3}[1],${R4}[1]},[$tbl1]!
633 vst1.32 {${S4}[0]},[$tbl0,:32]
634 vst1.32 {${S4}[1]},[$tbl1,:32]
640 add $tbl0,$ctx,#(48+2*4*9)
641 add $tbl1,$ctx,#(48+3*4*9)
643 vmov $R0,$D0#lo @ r^4:r^3
644 vshl.u32 $S1,$D1#lo,#2 @ *5
646 vshl.u32 $S2,$D2#lo,#2
648 vshl.u32 $S3,$D3#lo,#2
650 vshl.u32 $S4,$D4#lo,#2
652 vadd.i32 $S1,$S1,$D1#lo
653 vadd.i32 $S2,$S2,$D2#lo
654 vadd.i32 $S3,$S3,$D3#lo
655 vadd.i32 $S4,$S4,$D4#lo
657 vst4.32 {${R0}[0],${R1}[0],${S1}[0],${R2}[0]},[$tbl0]!
658 vst4.32 {${R0}[1],${R1}[1],${S1}[1],${R2}[1]},[$tbl1]!
659 vst4.32 {${S2}[0],${R3}[0],${S3}[0],${R4}[0]},[$tbl0]!
660 vst4.32 {${S2}[1],${R3}[1],${S3}[1],${R4}[1]},[$tbl1]!
661 vst1.32 {${S4}[0]},[$tbl0]
662 vst1.32 {${S4}[1]},[$tbl1]
665 .size poly1305_init_neon,.-poly1305_init_neon
667 .type poly1305_blocks_neon,%function
669 poly1305_blocks_neon:
670 .Lpoly1305_blocks_neon:
671 ldr ip,[$ctx,#36] @ is_base2_26
677 tst ip,ip @ is_base2_26?
678 beq .Lpoly1305_blocks
682 vstmdb sp!,{d8-d15} @ ABI specification says so
684 tst ip,ip @ is_base2_26?
688 bl poly1305_init_neon
690 ldr r4,[$ctx,#0] @ load hash value base 2^32
696 and r2,r4,#0x03ffffff @ base 2^32 -> base 2^26
698 veor $D0#lo,$D0#lo,$D0#lo
701 veor $D1#lo,$D1#lo,$D1#lo
704 veor $D2#lo,$D2#lo,$D2#lo
707 veor $D3#lo,$D3#lo,$D3#lo
708 and r3,r3,#0x03ffffff
710 veor $D4#lo,$D4#lo,$D4#lo
711 and r4,r4,#0x03ffffff
713 and r5,r5,#0x03ffffff
714 str r1,[$ctx,#36] @ is_base2_26
728 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
731 veor $D0#lo,$D0#lo,$D0#lo
732 veor $D1#lo,$D1#lo,$D1#lo
733 veor $D2#lo,$D2#lo,$D2#lo
734 veor $D3#lo,$D3#lo,$D3#lo
735 veor $D4#lo,$D4#lo,$D4#lo
736 vld4.32 {$D0#lo[0],$D1#lo[0],$D2#lo[0],$D3#lo[0]},[$ctx]!
738 vld1.32 {$D4#lo[0]},[$ctx]
739 sub $ctx,$ctx,#16 @ rewind
743 mov $padbit,$padbit,lsl#24
747 vld4.32 {$H0#lo[0],$H1#lo[0],$H2#lo[0],$H3#lo[0]},[$inp]!
748 vmov.32 $H4#lo[0],$padbit
758 vsri.u32 $H4#lo,$H3#lo,#8 @ base 2^32 -> base 2^26
759 vshl.u32 $H3#lo,$H3#lo,#18
761 vsri.u32 $H3#lo,$H2#lo,#14
762 vshl.u32 $H2#lo,$H2#lo,#12
763 vadd.i32 $H4#hi,$H4#lo,$D4#lo @ add hash value and move to #hi
765 vbic.i32 $H3#lo,#0xfc000000
766 vsri.u32 $H2#lo,$H1#lo,#20
767 vshl.u32 $H1#lo,$H1#lo,#6
769 vbic.i32 $H2#lo,#0xfc000000
770 vsri.u32 $H1#lo,$H0#lo,#26
771 vadd.i32 $H3#hi,$H3#lo,$D3#lo
773 vbic.i32 $H0#lo,#0xfc000000
774 vbic.i32 $H1#lo,#0xfc000000
775 vadd.i32 $H2#hi,$H2#lo,$D2#lo
777 vadd.i32 $H0#hi,$H0#lo,$D0#lo
778 vadd.i32 $H1#hi,$H1#lo,$D1#lo
792 vmov.i32 $H4,#1<<24 @ padbit, yes, always
793 vld4.32 {$H0#lo,$H1#lo,$H2#lo,$H3#lo},[$inp] @ inp[0:1]
795 vld4.32 {$H0#hi,$H1#hi,$H2#hi,$H3#hi},[$in2] @ inp[2:3] (or 0)
798 addhi $tbl1,$ctx,#(48+1*9*4)
799 addhi $tbl0,$ctx,#(48+3*9*4)
807 vsri.u32 $H4,$H3,#8 @ base 2^32 -> base 2^26
813 vbic.i32 $H3,#0xfc000000
817 vbic.i32 $H2,#0xfc000000
820 vbic.i32 $H0,#0xfc000000
821 vbic.i32 $H1,#0xfc000000
825 vld4.32 {${R0}[1],${R1}[1],${S1}[1],${R2}[1]},[$tbl1]! @ load r^2
826 vld4.32 {${R0}[0],${R1}[0],${S1}[0],${R2}[0]},[$tbl0]! @ load r^4
827 vld4.32 {${S2}[1],${R3}[1],${S3}[1],${R4}[1]},[$tbl1]!
828 vld4.32 {${S2}[0],${R3}[0],${S3}[0],${R4}[0]},[$tbl0]!
833 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
834 @ ((inp[0]*r^4+inp[2]*r^2+inp[4])*r^4+inp[6]*r^2
835 @ ((inp[1]*r^4+inp[3]*r^2+inp[5])*r^3+inp[7]*r
836 @ \___________________/
837 @ ((inp[0]*r^4+inp[2]*r^2+inp[4])*r^4+inp[6]*r^2+inp[8])*r^2
838 @ ((inp[1]*r^4+inp[3]*r^2+inp[5])*r^4+inp[7]*r^2+inp[9])*r
839 @ \___________________/ \____________________/
841 @ Note that we start with inp[2:3]*r^2. This is because it
842 @ doesn't depend on reduction
in previous iteration
.
843 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
844 @ d4
= h4
*r0
+ h3
*r1
+ h2
*r2
+ h1
*r3
+ h0
*r4
845 @ d3
= h3
*r0
+ h2
*r1
+ h1
*r2
+ h0
*r3
+ h4
*5*r4
846 @ d2
= h2
*r0
+ h1
*r1
+ h0
*r2
+ h4
*5*r3
+ h3
*5*r4
847 @ d1
= h1
*r0
+ h0
*r1
+ h4
*5*r2
+ h3
*5*r3
+ h2
*5*r4
848 @ d0
= h0
*r0
+ h4
*5*r1
+ h3
*5*r2
+ h2
*5*r3
+ h1
*5*r4
850 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
853 vadd
.i32
$H2#lo,$H2#lo,$D2#lo @ accumulate inp[0:1]
854 vmull
.u32
$D2,$H2#hi,${R0}[1]
855 vadd
.i32
$H0#lo,$H0#lo,$D0#lo
856 vmull
.u32
$D0,$H0#hi,${R0}[1]
857 vadd
.i32
$H3#lo,$H3#lo,$D3#lo
858 vmull
.u32
$D3,$H3#hi,${R0}[1]
859 vmlal
.u32
$D2,$H1#hi,${R1}[1]
860 vadd
.i32
$H1#lo,$H1#lo,$D1#lo
861 vmull
.u32
$D1,$H1#hi,${R0}[1]
863 vadd
.i32
$H4#lo,$H4#lo,$D4#lo
864 vmull
.u32
$D4,$H4#hi,${R0}[1]
866 vmlal
.u32
$D0,$H4#hi,${S1}[1]
869 vmlal
.u32
$D3,$H2#hi,${R1}[1]
870 vld1
.32
${S4
}[1],[$tbl1,:32]
871 vmlal
.u32
$D1,$H0#hi,${R1}[1]
872 vmlal
.u32
$D4,$H3#hi,${R1}[1]
874 vmlal
.u32
$D0,$H3#hi,${S2}[1]
875 vmlal
.u32
$D3,$H1#hi,${R2}[1]
876 vmlal
.u32
$D4,$H2#hi,${R2}[1]
877 vmlal
.u32
$D1,$H4#hi,${S2}[1]
878 vmlal
.u32
$D2,$H0#hi,${R2}[1]
880 vmlal
.u32
$D3,$H0#hi,${R3}[1]
881 vmlal
.u32
$D0,$H2#hi,${S3}[1]
882 vmlal
.u32
$D4,$H1#hi,${R3}[1]
883 vmlal
.u32
$D1,$H3#hi,${S3}[1]
884 vmlal
.u32
$D2,$H4#hi,${S3}[1]
886 vmlal
.u32
$D3,$H4#hi,${S4}[1]
887 vmlal
.u32
$D0,$H1#hi,${S4}[1]
888 vmlal
.u32
$D4,$H0#hi,${R4}[1]
889 vmlal
.u32
$D1,$H2#hi,${S4}[1]
890 vmlal
.u32
$D2,$H3#hi,${S4}[1]
892 vld4
.32
{$H0#hi,$H1#hi,$H2#hi,$H3#hi},[$in2] @ inp[2:3] (or 0)
895 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
896 @
(hash
+inp
[0:1])*r
^4 and accumulate
898 vmlal
.u32
$D3,$H3#lo,${R0}[0]
899 vmlal
.u32
$D0,$H0#lo,${R0}[0]
900 vmlal
.u32
$D4,$H4#lo,${R0}[0]
901 vmlal
.u32
$D1,$H1#lo,${R0}[0]
902 vmlal
.u32
$D2,$H2#lo,${R0}[0]
903 vld1
.32
${S4
}[0],[$tbl0,:32]
905 vmlal
.u32
$D3,$H2#lo,${R1}[0]
906 vmlal
.u32
$D0,$H4#lo,${S1}[0]
907 vmlal
.u32
$D4,$H3#lo,${R1}[0]
908 vmlal
.u32
$D1,$H0#lo,${R1}[0]
909 vmlal
.u32
$D2,$H1#lo,${R1}[0]
911 vmlal
.u32
$D3,$H1#lo,${R2}[0]
912 vmlal
.u32
$D0,$H3#lo,${S2}[0]
913 vmlal
.u32
$D4,$H2#lo,${R2}[0]
914 vmlal
.u32
$D1,$H4#lo,${S2}[0]
915 vmlal
.u32
$D2,$H0#lo,${R2}[0]
917 vmlal
.u32
$D3,$H0#lo,${R3}[0]
918 vmlal
.u32
$D0,$H2#lo,${S3}[0]
919 vmlal
.u32
$D4,$H1#lo,${R3}[0]
920 vmlal
.u32
$D1,$H3#lo,${S3}[0]
921 vmlal
.u32
$D3,$H4#lo,${S4}[0]
923 vmlal
.u32
$D2,$H4#lo,${S3}[0]
924 vmlal
.u32
$D0,$H1#lo,${S4}[0]
925 vmlal
.u32
$D4,$H0#lo,${R4}[0]
926 vmov
.i32
$H4,#1<<24 @ padbit, yes, always
927 vmlal
.u32
$D1,$H2#lo,${S4}[0]
928 vmlal
.u32
$D2,$H3#lo,${S4}[0]
930 vld4
.32
{$H0#lo,$H1#lo,$H2#lo,$H3#lo},[$inp] @ inp[0:1]
939 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
940 @ lazy reduction interleaved with base
2^32 -> base
2^26 of
941 @ inp
[0:3] previously loaded to
$H0-$H3 and smashed to
$H0-$H4.
947 vadd
.i64
$D4,$D4,$T0 @ h3
-> h4
948 vbic
.i32
$D3#lo,#0xfc000000
949 vsri
.u32
$H4,$H3,#8 @ base 2^32 -> base 2^26
950 vadd
.i64
$D1,$D1,$T1 @ h0
-> h1
952 vbic
.i32
$D0#lo,#0xfc000000
954 vshrn
.u64
$T0#lo,$D4,#26
958 vadd
.i64
$D2,$D2,$T1 @ h1
-> h2
960 vbic
.i32
$D4#lo,#0xfc000000
962 vbic
.i32
$D1#lo,#0xfc000000
964 vadd
.i32
$D0#lo,$D0#lo,$T0#lo
965 vshl
.u32
$T0#lo,$T0#lo,#2
966 vbic
.i32
$H3,#0xfc000000
967 vshrn
.u64
$T1#lo,$D2,#26
969 vaddl
.u32
$D0,$D0#lo,$T0#lo @ h4 -> h0 [widen for a sec]
971 vadd
.i32
$D3#lo,$D3#lo,$T1#lo @ h2 -> h3
973 vbic
.i32
$D2#lo,#0xfc000000
974 vbic
.i32
$H2,#0xfc000000
976 vshrn
.u64
$T0#lo,$D0,#26 @ re-narrow
979 vbic
.i32
$H0,#0xfc000000
980 vshr
.u32
$T1#lo,$D3#lo,#26
981 vbic
.i32
$D3#lo,#0xfc000000
982 vbic
.i32
$D0#lo,#0xfc000000
983 vadd
.i32
$D1#lo,$D1#lo,$T0#lo @ h0 -> h1
984 vadd
.i32
$D4#lo,$D4#lo,$T1#lo @ h3 -> h4
985 vbic
.i32
$H1,#0xfc000000
990 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
991 @ multiply
(inp
[0:1]+hash
) or inp
[2:3] by r
^2:r
^1
993 add
$tbl1,$ctx,#(48+0*9*4)
994 add
$tbl0,$ctx,#(48+1*9*4)
1000 vadd
.i32
$H2#hi,$H2#lo,$D2#lo @ add hash value and move to #hi
1001 vadd
.i32
$H0#hi,$H0#lo,$D0#lo
1002 vadd
.i32
$H3#hi,$H3#lo,$D3#lo
1003 vadd
.i32
$H1#hi,$H1#lo,$D1#lo
1004 vadd
.i32
$H4#hi,$H4#lo,$D4#lo
1007 vld4
.32
{${R0
}[1],${R1
}[1],${S1
}[1],${R2
}[1]},[$tbl1]! @ load r
^1
1008 vld4
.32
{${R0
}[0],${R1
}[0],${S1
}[0],${R2
}[0]},[$tbl0]! @ load r
^2
1010 vadd
.i32
$H2#lo,$H2#lo,$D2#lo @ can be redundant
1011 vmull
.u32
$D2,$H2#hi,$R0
1012 vadd
.i32
$H0#lo,$H0#lo,$D0#lo
1013 vmull
.u32
$D0,$H0#hi,$R0
1014 vadd
.i32
$H3#lo,$H3#lo,$D3#lo
1015 vmull
.u32
$D3,$H3#hi,$R0
1016 vadd
.i32
$H1#lo,$H1#lo,$D1#lo
1017 vmull
.u32
$D1,$H1#hi,$R0
1018 vadd
.i32
$H4#lo,$H4#lo,$D4#lo
1019 vmull
.u32
$D4,$H4#hi,$R0
1021 vmlal
.u32
$D0,$H4#hi,$S1
1022 vld4
.32
{${S2
}[1],${R3
}[1],${S3
}[1],${R4
}[1]},[$tbl1]!
1023 vmlal
.u32
$D3,$H2#hi,$R1
1024 vld4
.32
{${S2
}[0],${R3
}[0],${S3
}[0],${R4
}[0]},[$tbl0]!
1025 vmlal
.u32
$D1,$H0#hi,$R1
1026 vmlal
.u32
$D4,$H3#hi,$R1
1027 vmlal
.u32
$D2,$H1#hi,$R1
1029 vmlal
.u32
$D3,$H1#hi,$R2
1030 vld1
.32
${S4
}[1],[$tbl1,:32]
1031 vmlal
.u32
$D0,$H3#hi,$S2
1032 vld1
.32
${S4
}[0],[$tbl0,:32]
1033 vmlal
.u32
$D4,$H2#hi,$R2
1034 vmlal
.u32
$D1,$H4#hi,$S2
1035 vmlal
.u32
$D2,$H0#hi,$R2
1037 vmlal
.u32
$D3,$H0#hi,$R3
1039 addne
$tbl1,$ctx,#(48+2*9*4)
1040 vmlal
.u32
$D0,$H2#hi,$S3
1042 addne
$tbl0,$ctx,#(48+3*9*4)
1043 vmlal
.u32
$D4,$H1#hi,$R3
1044 vmlal
.u32
$D1,$H3#hi,$S3
1045 vmlal
.u32
$D2,$H4#hi,$S3
1047 vmlal
.u32
$D3,$H4#hi,$S4
1048 vorn
$MASK,$MASK,$MASK @ all
-ones
, can be redundant
1049 vmlal
.u32
$D0,$H1#hi,$S4
1050 vshr
.u64
$MASK,$MASK,#38
1051 vmlal
.u32
$D4,$H0#hi,$R4
1052 vmlal
.u32
$D1,$H2#hi,$S4
1053 vmlal
.u32
$D2,$H3#hi,$S4
1057 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
1058 @
(hash
+inp
[0:1])*r
^4:r
^3 and accumulate
1060 vld4
.32
{${R0
}[1],${R1
}[1],${S1
}[1],${R2
}[1]},[$tbl1]! @ load r
^3
1061 vld4
.32
{${R0
}[0],${R1
}[0],${S1
}[0],${R2
}[0]},[$tbl0]! @ load r
^4
1063 vmlal
.u32
$D2,$H2#lo,$R0
1064 vmlal
.u32
$D0,$H0#lo,$R0
1065 vmlal
.u32
$D3,$H3#lo,$R0
1066 vmlal
.u32
$D1,$H1#lo,$R0
1067 vmlal
.u32
$D4,$H4#lo,$R0
1069 vmlal
.u32
$D0,$H4#lo,$S1
1070 vld4
.32
{${S2
}[1],${R3
}[1],${S3
}[1],${R4
}[1]},[$tbl1]!
1071 vmlal
.u32
$D3,$H2#lo,$R1
1072 vld4
.32
{${S2
}[0],${R3
}[0],${S3
}[0],${R4
}[0]},[$tbl0]!
1073 vmlal
.u32
$D1,$H0#lo,$R1
1074 vmlal
.u32
$D4,$H3#lo,$R1
1075 vmlal
.u32
$D2,$H1#lo,$R1
1077 vmlal
.u32
$D3,$H1#lo,$R2
1078 vld1
.32
${S4
}[1],[$tbl1,:32]
1079 vmlal
.u32
$D0,$H3#lo,$S2
1080 vld1
.32
${S4
}[0],[$tbl0,:32]
1081 vmlal
.u32
$D4,$H2#lo,$R2
1082 vmlal
.u32
$D1,$H4#lo,$S2
1083 vmlal
.u32
$D2,$H0#lo,$R2
1085 vmlal
.u32
$D3,$H0#lo,$R3
1086 vmlal
.u32
$D0,$H2#lo,$S3
1087 vmlal
.u32
$D4,$H1#lo,$R3
1088 vmlal
.u32
$D1,$H3#lo,$S3
1089 vmlal
.u32
$D2,$H4#lo,$S3
1091 vmlal
.u32
$D3,$H4#lo,$S4
1092 vorn
$MASK,$MASK,$MASK @ all
-ones
1093 vmlal
.u32
$D0,$H1#lo,$S4
1094 vshr
.u64
$MASK,$MASK,#38
1095 vmlal
.u32
$D4,$H0#lo,$R4
1096 vmlal
.u32
$D1,$H2#lo,$S4
1097 vmlal
.u32
$D2,$H3#lo,$S4
1100 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
1101 @ horizontal addition
1103 vadd
.i64
$D3#lo,$D3#lo,$D3#hi
1104 vadd
.i64
$D0#lo,$D0#lo,$D0#hi
1105 vadd
.i64
$D4#lo,$D4#lo,$D4#hi
1106 vadd
.i64
$D1#lo,$D1#lo,$D1#hi
1107 vadd
.i64
$D2#lo,$D2#lo,$D2#hi
1109 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
1110 @ lazy reduction
, but without narrowing
1112 vshr
.u64
$T0,$D3,#26
1113 vand
.i64
$D3,$D3,$MASK
1114 vshr
.u64
$T1,$D0,#26
1115 vand
.i64
$D0,$D0,$MASK
1116 vadd
.i64
$D4,$D4,$T0 @ h3
-> h4
1117 vadd
.i64
$D1,$D1,$T1 @ h0
-> h1
1119 vshr
.u64
$T0,$D4,#26
1120 vand
.i64
$D4,$D4,$MASK
1121 vshr
.u64
$T1,$D1,#26
1122 vand
.i64
$D1,$D1,$MASK
1123 vadd
.i64
$D2,$D2,$T1 @ h1
-> h2
1125 vadd
.i64
$D0,$D0,$T0
1127 vshr
.u64
$T1,$D2,#26
1128 vand
.i64
$D2,$D2,$MASK
1129 vadd
.i64
$D0,$D0,$T0 @ h4
-> h0
1130 vadd
.i64
$D3,$D3,$T1 @ h2
-> h3
1132 vshr
.u64
$T0,$D0,#26
1133 vand
.i64
$D0,$D0,$MASK
1134 vshr
.u64
$T1,$D3,#26
1135 vand
.i64
$D3,$D3,$MASK
1136 vadd
.i64
$D1,$D1,$T0 @ h0
-> h1
1137 vadd
.i64
$D4,$D4,$T1 @ h3
-> h4
1142 @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
1145 vst4
.32
{$D0#lo[0],$D1#lo[0],$D2#lo[0],$D3#lo[0]},[$ctx]!
1146 vst1
.32
{$D4#lo[0]},[$ctx]
1148 vldmia sp
!,{d8
-d15
} @ epilogue
1152 .size poly1305_blocks_neon
,.-poly1305_blocks_neon
1154 .type poly1305_emit_neon
,%function
1157 .Lpoly1305_emit_neon
:
1158 ldr ip
,[$ctx,#36] @ is_base2_26
1163 beq
.Lpoly1305_emit_enter
1165 ldmia
$ctx,{$h0-$h4}
1168 adds
$h0,$h0,$h1,lsl
#26 @ base 2^26 -> base 2^32
1170 adcs
$h1,$h1,$h2,lsl
#20
1172 adcs
$h2,$h2,$h3,lsl
#14
1174 adcs
$h3,$h3,$h4,lsl
#8
1175 adc
$h4,$g0,$h4,lsr
#24 @ can be partially reduced ...
1177 and $g0,$h4,#-4 @ ... so reduce
1179 add
$g0,$g0,$g0,lsr
#2 @ *= 5
1186 adds
$g0,$h0,#5 @ compare to modulus
1191 tst
$g4,#4 @ did it carry/borrow?
1204 ldr
$g3,[$nonce,#12]
1206 adds
$h0,$h0,$g0 @ accumulate nonce
1217 str
$h0,[$mac,#0] @ store the result
1224 .size poly1305_emit_neon
,.-poly1305_emit_neon
1228 .long
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1231 .word OPENSSL_armcap_P
1233 .word OPENSSL_armcap_P
-.Lpoly1305_init
1239 .asciz
"Poly1305 for ARMv4/NEON, CRYPTOGAMS by <appro\@openssl.org>"
1241 #if __ARM_MAX_ARCH__>=7
1242 .extern OPENSSL_armcap_P
1246 foreach (split("\n",$code)) {
1247 s/\`([^\`]*)\`/eval $1/geo;
1249 s/\bq([0-9]+)#(lo|hi)/sprintf "d%d",2*$1+($2 eq "hi")/geo or
1250 s/\bret\b/bx lr/go or
1251 s/\bbx\s+lr\b/.word\t0xe12fff1e/go; # make it possible to compile with -march=armv4
1255 close STDOUT
or die "error closing STDOUT: $!"; # enforce flush