|
|
#!/usr/bin/env perl |
|
|
# |
|
|
# ==================================================================== |
|
|
# Written by Andy Polyakov <appro@fy.chalmers.se> 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/. |
|
|
# ==================================================================== |
|
|
# |
|
|
# On 21264 RSA sign performance improves by 70/35/20/15 percent for |
|
|
# 512/1024/2048/4096 bit key lengths. This is against vendor compiler |
|
|
# instructed to '-tune host' code with in-line assembler. Other |
|
|
# benchmarks improve by 15-20%. To anchor it to something else, the |
|
|
# code provides approximately the same performance per GHz as AMD64. |
|
|
# I.e. if you compare 1GHz 21264 and 2GHz Opteron, you'll observe ~2x |
|
|
# difference. |
|
|
|
|
|
# int bn_mul_mont( |
|
|
$rp="a0"; # BN_ULONG *rp, |
|
|
$ap="a1"; # const BN_ULONG *ap, |
|
|
$bp="a2"; # const BN_ULONG *bp, |
|
|
$np="a3"; # const BN_ULONG *np, |
|
|
$n0="a4"; # const BN_ULONG *n0, |
|
|
$num="a5"; # int num); |
|
|
|
|
|
$lo0="t0"; |
|
|
$hi0="t1"; |
|
|
$lo1="t2"; |
|
|
$hi1="t3"; |
|
|
$aj="t4"; |
|
|
$bi="t5"; |
|
|
$nj="t6"; |
|
|
$tp="t7"; |
|
|
$alo="t8"; |
|
|
$ahi="t9"; |
|
|
$nlo="t10"; |
|
|
$nhi="t11"; |
|
|
$tj="t12"; |
|
|
$i="s3"; |
|
|
$j="s4"; |
|
|
$m1="s5"; |
|
|
|
|
|
$code=<<___; |
|
|
#ifdef __linux__ |
|
|
#include <asm/regdef.h> |
|
|
#else |
|
|
#include <asm.h> |
|
|
#include <regdef.h> |
|
|
#endif |
|
|
|
|
|
.text |
|
|
|
|
|
.set noat |
|
|
.set noreorder |
|
|
|
|
|
.globl bn_mul_mont |
|
|
.align 5 |
|
|
.ent bn_mul_mont |
|
|
bn_mul_mont: |
|
|
lda sp,-48(sp) |
|
|
stq ra,0(sp) |
|
|
stq s3,8(sp) |
|
|
stq s4,16(sp) |
|
|
stq s5,24(sp) |
|
|
stq fp,32(sp) |
|
|
mov sp,fp |
|
|
.mask 0x0400f000,-48 |
|
|
.frame fp,48,ra |
|
|
.prologue 0 |
|
|
|
|
|
.align 4 |
|
|
.set reorder |
|
|
sextl $num,$num |
|
|
mov 0,v0 |
|
|
cmplt $num,4,AT |
|
|
bne AT,.Lexit |
|
|
|
|
|
ldq $hi0,0($ap) # ap[0] |
|
|
s8addq $num,16,AT |
|
|
ldq $aj,8($ap) |
|
|
subq sp,AT,sp |
|
|
ldq $bi,0($bp) # bp[0] |
|
|
lda AT,-4096(zero) # mov -4096,AT |
|
|
ldq $n0,0($n0) |
|
|
and sp,AT,sp |
|
|
|
|
|
mulq $hi0,$bi,$lo0 |
|
|
ldq $hi1,0($np) # np[0] |
|
|
umulh $hi0,$bi,$hi0 |
|
|
ldq $nj,8($np) |
|
|
|
|
|
mulq $lo0,$n0,$m1 |
|
|
|
|
|
mulq $hi1,$m1,$lo1 |
|
|
umulh $hi1,$m1,$hi1 |
|
|
|
|
|
addq $lo1,$lo0,$lo1 |
|
|
cmpult $lo1,$lo0,AT |
|
|
addq $hi1,AT,$hi1 |
|
|
|
|
|
mulq $aj,$bi,$alo |
|
|
mov 2,$j |
|
|
umulh $aj,$bi,$ahi |
|
|
mov sp,$tp |
|
|
|
|
|
mulq $nj,$m1,$nlo |
|
|
s8addq $j,$ap,$aj |
|
|
umulh $nj,$m1,$nhi |
|
|
s8addq $j,$np,$nj |
|
|
.align 4 |
|
|
.L1st: |
|
|
.set noreorder |
|
|
ldq $aj,0($aj) |
|
|
addl $j,1,$j |
|
|
ldq $nj,0($nj) |
|
|
lda $tp,8($tp) |
|
|
|
|
|
addq $alo,$hi0,$lo0 |
|
|
mulq $aj,$bi,$alo |
|
|
cmpult $lo0,$hi0,AT |
|
|
addq $nlo,$hi1,$lo1 |
|
|
|
|
|
mulq $nj,$m1,$nlo |
|
|
addq $ahi,AT,$hi0 |
|
|
cmpult $lo1,$hi1,v0 |
|
|
cmplt $j,$num,$tj |
|
|
|
|
|
umulh $aj,$bi,$ahi |
|
|
addq $nhi,v0,$hi1 |
|
|
addq $lo1,$lo0,$lo1 |
|
|
s8addq $j,$ap,$aj |
|
|
|
|
|
umulh $nj,$m1,$nhi |
|
|
cmpult $lo1,$lo0,v0 |
|
|
addq $hi1,v0,$hi1 |
|
|
s8addq $j,$np,$nj |
|
|
|
|
|
stq $lo1,-8($tp) |
|
|
nop |
|
|
unop |
|
|
bne $tj,.L1st |
|
|
.set reorder |
|
|
|
|
|
addq $alo,$hi0,$lo0 |
|
|
addq $nlo,$hi1,$lo1 |
|
|
cmpult $lo0,$hi0,AT |
|
|
cmpult $lo1,$hi1,v0 |
|
|
addq $ahi,AT,$hi0 |
|
|
addq $nhi,v0,$hi1 |
|
|
|
|
|
addq $lo1,$lo0,$lo1 |
|
|
cmpult $lo1,$lo0,v0 |
|
|
addq $hi1,v0,$hi1 |
|
|
|
|
|
stq $lo1,0($tp) |
|
|
|
|
|
addq $hi1,$hi0,$hi1 |
|
|
cmpult $hi1,$hi0,AT |
|
|
stq $hi1,8($tp) |
|
|
stq AT,16($tp) |
|
|
|
|
|
mov 1,$i |
|
|
.align 4 |
|
|
.Louter: |
|
|
s8addq $i,$bp,$bi |
|
|
ldq $hi0,0($ap) |
|
|
ldq $aj,8($ap) |
|
|
ldq $bi,0($bi) |
|
|
ldq $hi1,0($np) |
|
|
ldq $nj,8($np) |
|
|
ldq $tj,0(sp) |
|
|
|
|
|
mulq $hi0,$bi,$lo0 |
|
|
umulh $hi0,$bi,$hi0 |
|
|
|
|
|
addq $lo0,$tj,$lo0 |
|
|
cmpult $lo0,$tj,AT |
|
|
addq $hi0,AT,$hi0 |
|
|
|
|
|
mulq $lo0,$n0,$m1 |
|
|
|
|
|
mulq $hi1,$m1,$lo1 |
|
|
umulh $hi1,$m1,$hi1 |
|
|
|
|
|
addq $lo1,$lo0,$lo1 |
|
|
cmpult $lo1,$lo0,AT |
|
|
mov 2,$j |
|
|
addq $hi1,AT,$hi1 |
|
|
|
|
|
mulq $aj,$bi,$alo |
|
|
mov sp,$tp |
|
|
umulh $aj,$bi,$ahi |
|
|
|
|
|
mulq $nj,$m1,$nlo |
|
|
s8addq $j,$ap,$aj |
|
|
umulh $nj,$m1,$nhi |
|
|
.align 4 |
|
|
.Linner: |
|
|
.set noreorder |
|
|
ldq $tj,8($tp) #L0 |
|
|
nop #U1 |
|
|
ldq $aj,0($aj) #L1 |
|
|
s8addq $j,$np,$nj #U0 |
|
|
|
|
|
ldq $nj,0($nj) #L0 |
|
|
nop #U1 |
|
|
addq $alo,$hi0,$lo0 #L1 |
|
|
lda $tp,8($tp) |
|
|
|
|
|
mulq $aj,$bi,$alo #U1 |
|
|
cmpult $lo0,$hi0,AT #L0 |
|
|
addq $nlo,$hi1,$lo1 #L1 |
|
|
addl $j,1,$j |
|
|
|
|
|
mulq $nj,$m1,$nlo #U1 |
|
|
addq $ahi,AT,$hi0 #L0 |
|
|
addq $lo0,$tj,$lo0 #L1 |
|
|
cmpult $lo1,$hi1,v0 #U0 |
|
|
|
|
|
umulh $aj,$bi,$ahi #U1 |
|
|
cmpult $lo0,$tj,AT #L0 |
|
|
addq $lo1,$lo0,$lo1 #L1 |
|
|
addq $nhi,v0,$hi1 #U0 |
|
|
|
|
|
umulh $nj,$m1,$nhi #U1 |
|
|
s8addq $j,$ap,$aj #L0 |
|
|
cmpult $lo1,$lo0,v0 #L1 |
|
|
cmplt $j,$num,$tj #U0 # borrow $tj |
|
|
|
|
|
addq $hi0,AT,$hi0 #L0 |
|
|
addq $hi1,v0,$hi1 #U1 |
|
|
stq $lo1,-8($tp) #L1 |
|
|
bne $tj,.Linner #U0 |
|
|
.set reorder |
|
|
|
|
|
ldq $tj,8($tp) |
|
|
addq $alo,$hi0,$lo0 |
|
|
addq $nlo,$hi1,$lo1 |
|
|
cmpult $lo0,$hi0,AT |
|
|
cmpult $lo1,$hi1,v0 |
|
|
addq $ahi,AT,$hi0 |
|
|
addq $nhi,v0,$hi1 |
|
|
|
|
|
addq $lo0,$tj,$lo0 |
|
|
cmpult $lo0,$tj,AT |
|
|
addq $hi0,AT,$hi0 |
|
|
|
|
|
ldq $tj,16($tp) |
|
|
addq $lo1,$lo0,$j |
|
|
cmpult $j,$lo0,v0 |
|
|
addq $hi1,v0,$hi1 |
|
|
|
|
|
addq $hi1,$hi0,$lo1 |
|
|
stq $j,0($tp) |
|
|
cmpult $lo1,$hi0,$hi1 |
|
|
addq $lo1,$tj,$lo1 |
|
|
cmpult $lo1,$tj,AT |
|
|
addl $i,1,$i |
|
|
addq $hi1,AT,$hi1 |
|
|
stq $lo1,8($tp) |
|
|
cmplt $i,$num,$tj # borrow $tj |
|
|
stq $hi1,16($tp) |
|
|
bne $tj,.Louter |
|
|
|
|
|
s8addq $num,sp,$tj # &tp[num] |
|
|
mov $rp,$bp # put rp aside |
|
|
mov sp,$tp |
|
|
mov sp,$ap |
|
|
mov 0,$hi0 # clear borrow bit |
|
|
|
|
|
.align 4 |
|
|
.Lsub: ldq $lo0,0($tp) |
|
|
ldq $lo1,0($np) |
|
|
lda $tp,8($tp) |
|
|
lda $np,8($np) |
|
|
subq $lo0,$lo1,$lo1 # tp[i]-np[i] |
|
|
cmpult $lo0,$lo1,AT |
|
|
subq $lo1,$hi0,$lo0 |
|
|
cmpult $lo1,$lo0,$hi0 |
|
|
or $hi0,AT,$hi0 |
|
|
stq $lo0,0($rp) |
|
|
cmpult $tp,$tj,v0 |
|
|
lda $rp,8($rp) |
|
|
bne v0,.Lsub |
|
|
|
|
|
subq $hi1,$hi0,$hi0 # handle upmost overflow bit |
|
|
mov sp,$tp |
|
|
mov $bp,$rp # restore rp |
|
|
|
|
|
and sp,$hi0,$ap |
|
|
bic $bp,$hi0,$bp |
|
|
bis $bp,$ap,$ap # ap=borrow?tp:rp |
|
|
|
|
|
.align 4 |
|
|
.Lcopy: ldq $aj,0($ap) # copy or in-place refresh |
|
|
lda $tp,8($tp) |
|
|
lda $rp,8($rp) |
|
|
lda $ap,8($ap) |
|
|
stq zero,-8($tp) # zap tp |
|
|
cmpult $tp,$tj,AT |
|
|
stq $aj,-8($rp) |
|
|
bne AT,.Lcopy |
|
|
mov 1,v0 |
|
|
|
|
|
.Lexit: |
|
|
.set noreorder |
|
|
mov fp,sp |
|
|
/*ldq ra,0(sp)*/ |
|
|
ldq s3,8(sp) |
|
|
ldq s4,16(sp) |
|
|
ldq s5,24(sp) |
|
|
ldq fp,32(sp) |
|
|
lda sp,48(sp) |
|
|
ret (ra) |
|
|
.end bn_mul_mont |
|
|
.ascii "Montgomery Multiplication for Alpha, CRYPTOGAMS by <appro\@openssl.org>" |
|
|
.align 2 |
|
|
___ |
|
|
|
|
|
print $code; |
|
|
close STDOUT;
|
|
|
|