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#! /usr/bin/env perl
# Copyright 2007-2020 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the Apache License 2.0 (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.
# $output is the last argument if it looks like a file (it has an extension)
# $flavour is the first argument if it doesn't look like a file
my $output = $#ARGV >= 0 && $ARGV[$#ARGV] =~ m|\.\w+$| ? pop : undef;
my $flavour = $#ARGV >= 0 && $ARGV[0] !~ m|\.| ? shift : undef;
if ($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\""
or die "can't call $xlate: $1";
} else {
$output and open STDOUT,">$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"
#if defined(__thumb2__)
.syntax unified
.thumb
#else
.code 32
#endif
.text
#if __ARM_MAX_ARCH__>=7
.align 5
.LOPENSSL_armcap:
# ifdef _WIN32
.word OPENSSL_armcap_P
# else
.word OPENSSL_armcap_P-.Lbn_mul_mont
# endif
#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
ldr r0,.LOPENSSL_armcap
#if !defined(_WIN32)
adr r2,.Lbn_mul_mont
ldr r0,[r0,r2]
# endif
# if defined(__APPLE__) || defined(_WIN32)
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 or die "error closing STDOUT: $!";
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