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|
#!/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/.
# ====================================================================
# 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.
while (($output=shift) && ($output!~/^\w[\w\-]*\.\w+$/)) {}
open STDOUT,">$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
.code 32
#if __ARM_ARCH__>=7
.align 5
.LOPENSSL_armcap:
.word OPENSSL_armcap_P-bn_mul_mont
#endif
.global bn_mul_mont
.hidden bn_mul_mont
.type bn_mul_mont,%function
.align 5
bn_mul_mont:
ldr ip,[sp,#4] @ load num
stmdb sp!,{r0,r2} @ sp points at argument block
#if __ARM_ARCH__>=7
tst ip,#7
bne .Lialu
adr r0,bn_mul_mont
ldr r2,.LOPENSSL_armcap
ldr r0,[r0,r2]
tst r0,#1 @ 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
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]=
str $nhi,[$num,#4] @ tp[num]=
.Louter:
sub $tj,$num,sp @ "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
bne .Louter
ldr $rp,[$_rp] @ pull rp
add $num,$num,#4 @ $num to point at &tp[num]
sub $aj,$num,sp @ "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
and $ap,$tp,$nhi
bic $np,$rp,$nhi
orr $ap,$ap,$np @ ap=borrow?tp:rp
.Lcopy: ldr $tj,[$ap],#4 @ copy or in-place refresh
str sp,[$tp],#4 @ zap tp
str $tj,[$rp],#4
cmp $tp,$num
bne .Lcopy
add sp,$num,#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: tst lr,#1
moveq pc,lr @ be binary compatible with V4, yet
bx lr @ interoperable with Thumb ISA:-)
.size bn_mul_mont,.-bn_mul_mont
___
{
sub Dlo() { shift=~m|q([1]?[0-9])|?"d".($1*2):""; }
sub Dhi() { shift=~m|q([1]?[0-9])|?"d".($1*2+1):""; }
my ($A0,$A1,$A2,$A3)=map("d$_",(0..3));
my ($N0,$N1,$N2,$N3)=map("d$_",(4..7));
my ($Z,$Temp)=("q4","q5");
my ($A0xB,$A1xB,$A2xB,$A3xB,$A4xB,$A5xB,$A6xB,$A7xB)=map("q$_",(6..13));
my ($Bi,$Ni,$M0)=map("d$_",(28..31));
my $zero=&Dlo($Z);
my $temp=&Dlo($Temp);
my ($rptr,$aptr,$bptr,$nptr,$n0,$num)=map("r$_",(0..5));
my ($tinptr,$toutptr,$inner,$outer)=map("r$_",(6..9));
$code.=<<___;
#if __ARM_ARCH__>=7
.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
sub $toutptr,sp,#16
vld1.32 {${Bi}[0]}, [$bptr,:32]!
sub $toutptr,$toutptr,$num,lsl#4
vld1.32 {$A0-$A3}, [$aptr]! @ can't specify :32 :-(
and $toutptr,$toutptr,#-64
vld1.32 {${M0}[0]}, [$n0,:32]
mov sp,$toutptr @ alloca
veor $zero,$zero,$zero
subs $inner,$num,#8
vzip.16 $Bi,$zero
vmull.u32 $A0xB,$Bi,${A0}[0]
vmull.u32 $A1xB,$Bi,${A0}[1]
vmull.u32 $A2xB,$Bi,${A1}[0]
vshl.i64 $temp,`&Dhi("$A0xB")`,#16
vmull.u32 $A3xB,$Bi,${A1}[1]
vadd.u64 $temp,$temp,`&Dlo("$A0xB")`
veor $zero,$zero,$zero
vmul.u32 $Ni,$temp,$M0
vmull.u32 $A4xB,$Bi,${A2}[0]
vld1.32 {$N0-$N3}, [$nptr]!
vmull.u32 $A5xB,$Bi,${A2}[1]
vmull.u32 $A6xB,$Bi,${A3}[0]
vzip.16 $Ni,$zero
vmull.u32 $A7xB,$Bi,${A3}[1]
bne .LNEON_1st
@ special case for num=8, everything is in register bank...
vmlal.u32 $A0xB,$Ni,${N0}[0]
sub $outer,$num,#1
vmlal.u32 $A1xB,$Ni,${N0}[1]
vmlal.u32 $A2xB,$Ni,${N1}[0]
vmlal.u32 $A3xB,$Ni,${N1}[1]
vmlal.u32 $A4xB,$Ni,${N2}[0]
vmov $Temp,$A0xB
vmlal.u32 $A5xB,$Ni,${N2}[1]
vmov $A0xB,$A1xB
vmlal.u32 $A6xB,$Ni,${N3}[0]
vmov $A1xB,$A2xB
vmlal.u32 $A7xB,$Ni,${N3}[1]
vmov $A2xB,$A3xB
vmov $A3xB,$A4xB
vshr.u64 $temp,$temp,#16
vmov $A4xB,$A5xB
vmov $A5xB,$A6xB
vadd.u64 $temp,$temp,`&Dhi("$Temp")`
vmov $A6xB,$A7xB
veor $A7xB,$A7xB
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 `&Dlo("$A0xB")`,`&Dlo("$A0xB")`,$temp
vmlal.u32 $A0xB,$Bi,${A0}[0]
vmlal.u32 $A1xB,$Bi,${A0}[1]
vmlal.u32 $A2xB,$Bi,${A1}[0]
vshl.i64 $temp,`&Dhi("$A0xB")`,#16
vmlal.u32 $A3xB,$Bi,${A1}[1]
vadd.u64 $temp,$temp,`&Dlo("$A0xB")`
veor $zero,$zero,$zero
subs $outer,$outer,#1
vmul.u32 $Ni,$temp,$M0
vmlal.u32 $A4xB,$Bi,${A2}[0]
vmlal.u32 $A5xB,$Bi,${A2}[1]
vmlal.u32 $A6xB,$Bi,${A3}[0]
vzip.16 $Ni,$zero
vmlal.u32 $A7xB,$Bi,${A3}[1]
vmlal.u32 $A0xB,$Ni,${N0}[0]
vmlal.u32 $A1xB,$Ni,${N0}[1]
vmlal.u32 $A2xB,$Ni,${N1}[0]
vmlal.u32 $A3xB,$Ni,${N1}[1]
vmlal.u32 $A4xB,$Ni,${N2}[0]
vmov $Temp,$A0xB
vmlal.u32 $A5xB,$Ni,${N2}[1]
vmov $A0xB,$A1xB
vmlal.u32 $A6xB,$Ni,${N3}[0]
vmov $A1xB,$A2xB
vmlal.u32 $A7xB,$Ni,${N3}[1]
vmov $A2xB,$A3xB
vmov $A3xB,$A4xB
vshr.u64 $temp,$temp,#16
vmov $A4xB,$A5xB
vmov $A5xB,$A6xB
vadd.u64 $temp,$temp,`&Dhi("$Temp")`
vmov $A6xB,$A7xB
veor $A7xB,$A7xB
vshr.u64 $temp,$temp,#16
bne .LNEON_outer8
vadd.u64 `&Dlo("$A0xB")`,`&Dlo("$A0xB")`,$temp
mov $toutptr,sp
vshr.u64 $temp,`&Dlo("$A0xB")`,#16
mov $inner,$num
vadd.u64 `&Dhi("$A0xB")`,`&Dhi("$A0xB")`,$temp
add $tinptr,sp,#16
vshr.u64 $temp,`&Dhi("$A0xB")`,#16
vzip.16 `&Dlo("$A0xB")`,`&Dhi("$A0xB")`
b .LNEON_tail2
.align 4
.LNEON_1st:
vmlal.u32 $A0xB,$Ni,${N0}[0]
vld1.32 {$A0-$A3}, [$aptr]!
vmlal.u32 $A1xB,$Ni,${N0}[1]
subs $inner,$inner,#8
vmlal.u32 $A2xB,$Ni,${N1}[0]
vmlal.u32 $A3xB,$Ni,${N1}[1]
vmlal.u32 $A4xB,$Ni,${N2}[0]
vld1.32 {$N0-$N1}, [$nptr]!
vmlal.u32 $A5xB,$Ni,${N2}[1]
vst1.64 {$A0xB-$A1xB}, [$toutptr,:256]!
vmlal.u32 $A6xB,$Ni,${N3}[0]
vmlal.u32 $A7xB,$Ni,${N3}[1]
vst1.64 {$A2xB-$A3xB}, [$toutptr,:256]!
vmull.u32 $A0xB,$Bi,${A0}[0]
vld1.32 {$N2-$N3}, [$nptr]!
vmull.u32 $A1xB,$Bi,${A0}[1]
vst1.64 {$A4xB-$A5xB}, [$toutptr,:256]!
vmull.u32 $A2xB,$Bi,${A1}[0]
vmull.u32 $A3xB,$Bi,${A1}[1]
vst1.64 {$A6xB-$A7xB}, [$toutptr,:256]!
vmull.u32 $A4xB,$Bi,${A2}[0]
vmull.u32 $A5xB,$Bi,${A2}[1]
vmull.u32 $A6xB,$Bi,${A3}[0]
vmull.u32 $A7xB,$Bi,${A3}[1]
bne .LNEON_1st
vmlal.u32 $A0xB,$Ni,${N0}[0]
add $tinptr,sp,#16
vmlal.u32 $A1xB,$Ni,${N0}[1]
sub $aptr,$aptr,$num,lsl#2 @ rewind $aptr
vmlal.u32 $A2xB,$Ni,${N1}[0]
vld1.64 {$Temp}, [sp,:128]
vmlal.u32 $A3xB,$Ni,${N1}[1]
sub $outer,$num,#1
vmlal.u32 $A4xB,$Ni,${N2}[0]
vst1.64 {$A0xB-$A1xB}, [$toutptr,:256]!
vmlal.u32 $A5xB,$Ni,${N2}[1]
vshr.u64 $temp,$temp,#16
vld1.64 {$A0xB}, [$tinptr, :128]!
vmlal.u32 $A6xB,$Ni,${N3}[0]
vst1.64 {$A2xB-$A3xB}, [$toutptr,:256]!
vmlal.u32 $A7xB,$Ni,${N3}[1]
vst1.64 {$A4xB-$A5xB}, [$toutptr,:256]!
vadd.u64 $temp,$temp,`&Dhi("$Temp")`
veor $Z,$Z,$Z
vst1.64 {$A6xB-$A7xB}, [$toutptr,:256]!
vld1.64 {$A1xB-$A2xB}, [$tinptr, :256]!
vst1.64 {$Z}, [$toutptr,:128]
vshr.u64 $temp,$temp,#16
b .LNEON_outer
.align 4
.LNEON_outer:
vld1.32 {${Bi}[0]}, [$bptr,:32]!
sub $nptr,$nptr,$num,lsl#2 @ rewind $nptr
vld1.32 {$A0-$A3}, [$aptr]!
veor $zero,$zero,$zero
mov $toutptr,sp
vzip.16 $Bi,$zero
sub $inner,$num,#8
vadd.u64 `&Dlo("$A0xB")`,`&Dlo("$A0xB")`,$temp
vmlal.u32 $A0xB,$Bi,${A0}[0]
vld1.64 {$A3xB-$A4xB},[$tinptr,:256]!
vmlal.u32 $A1xB,$Bi,${A0}[1]
vmlal.u32 $A2xB,$Bi,${A1}[0]
vld1.64 {$A5xB-$A6xB},[$tinptr,:256]!
vmlal.u32 $A3xB,$Bi,${A1}[1]
vshl.i64 $temp,`&Dhi("$A0xB")`,#16
veor $zero,$zero,$zero
vadd.u64 $temp,$temp,`&Dlo("$A0xB")`
vld1.64 {$A7xB},[$tinptr,:128]!
vmul.u32 $Ni,$temp,$M0
vmlal.u32 $A4xB,$Bi,${A2}[0]
vld1.32 {$N0-$N3}, [$nptr]!
vmlal.u32 $A5xB,$Bi,${A2}[1]
vmlal.u32 $A6xB,$Bi,${A3}[0]
vzip.16 $Ni,$zero
vmlal.u32 $A7xB,$Bi,${A3}[1]
.LNEON_inner:
vmlal.u32 $A0xB,$Ni,${N0}[0]
vld1.32 {$A0-$A3}, [$aptr]!
vmlal.u32 $A1xB,$Ni,${N0}[1]
subs $inner,$inner,#8
vmlal.u32 $A2xB,$Ni,${N1}[0]
vmlal.u32 $A3xB,$Ni,${N1}[1]
vst1.64 {$A0xB-$A1xB}, [$toutptr,:256]!
vmlal.u32 $A4xB,$Ni,${N2}[0]
vld1.64 {$A0xB}, [$tinptr, :128]!
vmlal.u32 $A5xB,$Ni,${N2}[1]
vst1.64 {$A2xB-$A3xB}, [$toutptr,:256]!
vmlal.u32 $A6xB,$Ni,${N3}[0]
vld1.64 {$A1xB-$A2xB}, [$tinptr, :256]!
vmlal.u32 $A7xB,$Ni,${N3}[1]
vst1.64 {$A4xB-$A5xB}, [$toutptr,:256]!
vmlal.u32 $A0xB,$Bi,${A0}[0]
vld1.64 {$A3xB-$A4xB}, [$tinptr, :256]!
vmlal.u32 $A1xB,$Bi,${A0}[1]
vst1.64 {$A6xB-$A7xB}, [$toutptr,:256]!
vmlal.u32 $A2xB,$Bi,${A1}[0]
vld1.64 {$A5xB-$A6xB}, [$tinptr, :256]!
vmlal.u32 $A3xB,$Bi,${A1}[1]
vld1.32 {$N0-$N3}, [$nptr]!
vmlal.u32 $A4xB,$Bi,${A2}[0]
vld1.64 {$A7xB}, [$tinptr, :128]!
vmlal.u32 $A5xB,$Bi,${A2}[1]
vmlal.u32 $A6xB,$Bi,${A3}[0]
vmlal.u32 $A7xB,$Bi,${A3}[1]
bne .LNEON_inner
vmlal.u32 $A0xB,$Ni,${N0}[0]
add $tinptr,sp,#16
vmlal.u32 $A1xB,$Ni,${N0}[1]
sub $aptr,$aptr,$num,lsl#2 @ rewind $aptr
vmlal.u32 $A2xB,$Ni,${N1}[0]
vld1.64 {$Temp}, [sp,:128]
vmlal.u32 $A3xB,$Ni,${N1}[1]
subs $outer,$outer,#1
vmlal.u32 $A4xB,$Ni,${N2}[0]
vst1.64 {$A0xB-$A1xB}, [$toutptr,:256]!
vmlal.u32 $A5xB,$Ni,${N2}[1]
vld1.64 {$A0xB}, [$tinptr, :128]!
vshr.u64 $temp,$temp,#16
vst1.64 {$A2xB-$A3xB}, [$toutptr,:256]!
vmlal.u32 $A6xB,$Ni,${N3}[0]
vld1.64 {$A1xB-$A2xB}, [$tinptr, :256]!
vmlal.u32 $A7xB,$Ni,${N3}[1]
vst1.64 {$A4xB-$A5xB}, [$toutptr,:256]!
vadd.u64 $temp,$temp,`&Dhi("$Temp")`
vst1.64 {$A6xB-$A7xB}, [$toutptr,:256]!
vshr.u64 $temp,$temp,#16
bne .LNEON_outer
mov $toutptr,sp
mov $inner,$num
.LNEON_tail:
vadd.u64 `&Dlo("$A0xB")`,`&Dlo("$A0xB")`,$temp
vld1.64 {$A3xB-$A4xB}, [$tinptr, :256]!
vshr.u64 $temp,`&Dlo("$A0xB")`,#16
vadd.u64 `&Dhi("$A0xB")`,`&Dhi("$A0xB")`,$temp
vld1.64 {$A5xB-$A6xB}, [$tinptr, :256]!
vshr.u64 $temp,`&Dhi("$A0xB")`,#16
vld1.64 {$A7xB}, [$tinptr, :128]!
vzip.16 `&Dlo("$A0xB")`,`&Dhi("$A0xB")`
.LNEON_tail2:
vadd.u64 `&Dlo("$A1xB")`,`&Dlo("$A1xB")`,$temp
vst1.32 {`&Dlo("$A0xB")`[0]}, [$toutptr, :32]!
vshr.u64 $temp,`&Dlo("$A1xB")`,#16
vadd.u64 `&Dhi("$A1xB")`,`&Dhi("$A1xB")`,$temp
vshr.u64 $temp,`&Dhi("$A1xB")`,#16
vzip.16 `&Dlo("$A1xB")`,`&Dhi("$A1xB")`
vadd.u64 `&Dlo("$A2xB")`,`&Dlo("$A2xB")`,$temp
vst1.32 {`&Dlo("$A1xB")`[0]}, [$toutptr, :32]!
vshr.u64 $temp,`&Dlo("$A2xB")`,#16
vadd.u64 `&Dhi("$A2xB")`,`&Dhi("$A2xB")`,$temp
vshr.u64 $temp,`&Dhi("$A2xB")`,#16
vzip.16 `&Dlo("$A2xB")`,`&Dhi("$A2xB")`
vadd.u64 `&Dlo("$A3xB")`,`&Dlo("$A3xB")`,$temp
vst1.32 {`&Dlo("$A2xB")`[0]}, [$toutptr, :32]!
vshr.u64 $temp,`&Dlo("$A3xB")`,#16
vadd.u64 `&Dhi("$A3xB")`,`&Dhi("$A3xB")`,$temp
vshr.u64 $temp,`&Dhi("$A3xB")`,#16
vzip.16 `&Dlo("$A3xB")`,`&Dhi("$A3xB")`
vadd.u64 `&Dlo("$A4xB")`,`&Dlo("$A4xB")`,$temp
vst1.32 {`&Dlo("$A3xB")`[0]}, [$toutptr, :32]!
vshr.u64 $temp,`&Dlo("$A4xB")`,#16
vadd.u64 `&Dhi("$A4xB")`,`&Dhi("$A4xB")`,$temp
vshr.u64 $temp,`&Dhi("$A4xB")`,#16
vzip.16 `&Dlo("$A4xB")`,`&Dhi("$A4xB")`
vadd.u64 `&Dlo("$A5xB")`,`&Dlo("$A5xB")`,$temp
vst1.32 {`&Dlo("$A4xB")`[0]}, [$toutptr, :32]!
vshr.u64 $temp,`&Dlo("$A5xB")`,#16
vadd.u64 `&Dhi("$A5xB")`,`&Dhi("$A5xB")`,$temp
vshr.u64 $temp,`&Dhi("$A5xB")`,#16
vzip.16 `&Dlo("$A5xB")`,`&Dhi("$A5xB")`
vadd.u64 `&Dlo("$A6xB")`,`&Dlo("$A6xB")`,$temp
vst1.32 {`&Dlo("$A5xB")`[0]}, [$toutptr, :32]!
vshr.u64 $temp,`&Dlo("$A6xB")`,#16
vadd.u64 `&Dhi("$A6xB")`,`&Dhi("$A6xB")`,$temp
vld1.64 {$A0xB}, [$tinptr, :128]!
vshr.u64 $temp,`&Dhi("$A6xB")`,#16
vzip.16 `&Dlo("$A6xB")`,`&Dhi("$A6xB")`
vadd.u64 `&Dlo("$A7xB")`,`&Dlo("$A7xB")`,$temp
vst1.32 {`&Dlo("$A6xB")`[0]}, [$toutptr, :32]!
vshr.u64 $temp,`&Dlo("$A7xB")`,#16
vadd.u64 `&Dhi("$A7xB")`,`&Dhi("$A7xB")`,$temp
vld1.64 {$A1xB-$A2xB}, [$tinptr, :256]!
vshr.u64 $temp,`&Dhi("$A7xB")`,#16
vzip.16 `&Dlo("$A7xB")`,`&Dhi("$A7xB")`
subs $inner,$inner,#8
vst1.32 {`&Dlo("$A7xB")`[0]}, [$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
veor q0,q0,q0
sub r11,$bptr,sp @ 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 $rptr, {r8-r11}
movcc r8, r4
vst1.64 {q0-q1}, [$nptr,:256]! @ wipe
movcc r9, r5
movcc r10,r6
vst1.64 {q0-q1}, [$nptr,:256]! @ wipe
movcc r11,r7
ldmia $aptr, {r4-r7}
stmia $rptr!, {r8-r11}
sub $aptr,$aptr,#16
ldmia $rptr, {r8-r11}
movcc r8, r4
vst1.64 {q0-q1}, [$aptr,:256]! @ wipe
movcc r9, r5
movcc r10,r6
vst1.64 {q0-q1}, [$nptr,:256]! @ wipe
movcc r11,r7
teq $aptr,$bptr @ preserves carry
stmia $rptr!, {r8-r11}
bne .LNEON_copy_n_zap
sub sp,ip,#96
vldmia sp!,{d8-d15}
ldmia sp!,{r4-r11}
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_ARCH__>=7
.comm OPENSSL_armcap_P,4,4
.hidden OPENSSL_armcap_P
#endif
___
$code =~ s/\`([^\`]*)\`/eval $1/gem;
$code =~ s/\bbx\s+lr\b/.word\t0xe12fff1e/gm; # make it possible to compile with -march=armv4
print $code;
close STDOUT;
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