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#!/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/.
# ====================================================================
# This module doesn't present direct interest for OpenSSL, because it
# doesn't provide better performance for longer keys. While 512-bit
# RSA private key operations are 40% faster, 1024-bit ones are hardly
# faster at all, while longer key operations are slower by up to 20%.
# It might be of interest to embedded system developers though, as
# it's smaller than 1KB, yet offers ~3x improvement over compiler
# generated code.
#
# The module targets N32 and N64 MIPS ABIs and currently is a bit
# IRIX-centric, i.e. is likely to require adaptation for other OSes.
# 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="a6";
$hi0="a7";
$lo1="v0";
$hi1="v1";
$aj="t0";
$bi="t1";
$nj="t2";
$tp="t3";
$alo="s0";
$ahi="s1";
$nlo="s2";
$nhi="s3";
$tj="s4";
$i="s5";
$j="s6";
$fp="t8";
$m1="t9";
$FRAME=8*(2+8);
$code=<<___;
#include <asm.h>
#include <regdef.h>
.text
.set noat
.set reorder
.align 5
.globl bn_mul_mont
.ent bn_mul_mont
bn_mul_mont:
.set noreorder
PTR_SUB sp,64
move $fp,sp
.frame $fp,64,ra
slt AT,$num,4
li v0,0
beqzl AT,.Lproceed
nop
jr ra
PTR_ADD sp,$fp,64
.set reorder
.align 5
.Lproceed:
ld $n0,0($n0)
ld $bi,0($bp) # bp[0]
ld $aj,0($ap) # ap[0]
ld $nj,0($np) # np[0]
PTR_SUB sp,16 # place for two extra words
sll $num,3
li AT,-4096
PTR_SUB sp,$num
and sp,AT
sd s0,0($fp)
sd s1,8($fp)
sd s2,16($fp)
sd s3,24($fp)
sd s4,32($fp)
sd s5,40($fp)
sd s6,48($fp)
sd s7,56($fp)
dmultu $aj,$bi
ld $alo,8($ap)
ld $nlo,8($np)
mflo $lo0
mfhi $hi0
dmultu $lo0,$n0
mflo $m1
dmultu $alo,$bi
mflo $alo
mfhi $ahi
dmultu $nj,$m1
mflo $lo1
mfhi $hi1
dmultu $nlo,$m1
daddu $lo1,$lo0
sltu AT,$lo1,$lo0
daddu $hi1,AT
mflo $nlo
mfhi $nhi
move $tp,sp
li $j,16
.align 4
.L1st:
.set noreorder
PTR_ADD $aj,$ap,$j
ld $aj,($aj)
PTR_ADD $nj,$np,$j
ld $nj,($nj)
dmultu $aj,$bi
daddu $lo0,$alo,$hi0
daddu $lo1,$nlo,$hi1
sltu AT,$lo0,$hi0
sltu s7,$lo1,$hi1
daddu $hi0,$ahi,AT
daddu $hi1,$nhi,s7
mflo $alo
mfhi $ahi
daddu $lo1,$lo0
sltu AT,$lo1,$lo0
dmultu $nj,$m1
daddu $hi1,AT
addu $j,8
sd $lo1,($tp)
sltu s7,$j,$num
mflo $nlo
mfhi $nhi
bnez s7,.L1st
PTR_ADD $tp,8
.set reorder
daddu $lo0,$alo,$hi0
sltu AT,$lo0,$hi0
daddu $hi0,$ahi,AT
daddu $lo1,$nlo,$hi1
sltu s7,$lo1,$hi1
daddu $hi1,$nhi,s7
daddu $lo1,$lo0
sltu AT,$lo1,$lo0
daddu $hi1,AT
sd $lo1,($tp)
daddu $hi1,$hi0
sltu AT,$hi1,$hi0
sd $hi1,8($tp)
sd AT,16($tp)
li $i,8
.align 4
.Louter:
PTR_ADD $bi,$bp,$i
ld $bi,($bi)
ld $aj,($ap)
ld $alo,8($ap)
ld $tj,(sp)
dmultu $aj,$bi
ld $nj,($np)
ld $nlo,8($np)
mflo $lo0
mfhi $hi0
daddu $lo0,$tj
dmultu $lo0,$n0
sltu AT,$lo0,$tj
daddu $hi0,AT
mflo $m1
dmultu $alo,$bi
mflo $alo
mfhi $ahi
dmultu $nj,$m1
mflo $lo1
mfhi $hi1
dmultu $nlo,$m1
daddu $lo1,$lo0
sltu AT,$lo1,$lo0
daddu $hi1,AT
mflo $nlo
mfhi $nhi
move $tp,sp
li $j,16
ld $tj,8($tp)
.align 4
.Linner:
.set noreorder
PTR_ADD $aj,$ap,$j
ld $aj,($aj)
PTR_ADD $nj,$np,$j
ld $nj,($nj)
dmultu $aj,$bi
daddu $lo0,$alo,$hi0
daddu $lo1,$nlo,$hi1
sltu AT,$lo0,$hi0
sltu s7,$lo1,$hi1
daddu $hi0,$ahi,AT
daddu $hi1,$nhi,s7
mflo $alo
mfhi $ahi
daddu $lo0,$tj
addu $j,8
dmultu $nj,$m1
sltu AT,$lo0,$tj
daddu $lo1,$lo0
daddu $hi0,AT
sltu s7,$lo1,$lo0
ld $tj,16($tp)
daddu $hi1,s7
sltu AT,$j,$num
mflo $nlo
mfhi $nhi
sd $lo1,($tp)
bnez AT,.Linner
PTR_ADD $tp,8
.set reorder
daddu $lo0,$alo,$hi0
sltu AT,$lo0,$hi0
daddu $hi0,$ahi,AT
daddu $lo0,$tj
sltu s7,$lo0,$tj
daddu $hi0,s7
ld $tj,16($tp)
daddu $lo1,$nlo,$hi1
sltu AT,$lo1,$hi1
daddu $hi1,$nhi,AT
daddu $lo1,$lo0
sltu s7,$lo1,$lo0
daddu $hi1,s7
sd $lo1,($tp)
daddu $lo1,$hi1,$hi0
sltu $hi1,$lo1,$hi0
daddu $lo1,$tj
sltu AT,$lo1,$tj
daddu $hi1,AT
sd $lo1,8($tp)
sd $hi1,16($tp)
addu $i,8
sltu s7,$i,$num
bnez s7,.Louter
.set noreorder
PTR_ADD $tj,sp,$num # &tp[num]
move $tp,sp
move $ap,sp
li $hi0,0 # clear borrow bit
.align 4
.Lsub: ld $lo0,($tp)
ld $lo1,($np)
PTR_ADD $tp,8
PTR_ADD $np,8
dsubu $lo1,$lo0,$lo1 # tp[i]-np[i]
sgtu AT,$lo1,$lo0
dsubu $lo0,$lo1,$hi0
sgtu $hi0,$lo0,$lo1
sd $lo0,($rp)
or $hi0,AT
sltu AT,$tp,$tj
bnez AT,.Lsub
PTR_ADD $rp,8
dsubu $hi0,$hi1,$hi0 # handle upmost overflow bit
move $tp,sp
PTR_SUB $rp,$num # restore rp
not $hi1,$hi0
and $ap,$hi0,sp
and $bp,$hi1,$rp
or $ap,$ap,$bp # ap=borrow?tp:rp
.align 4
.Lcopy: ld $aj,($ap)
PTR_ADD $ap,8
PTR_ADD $tp,8
sd zero,-8($tp)
sltu AT,$tp,$tj
sd $aj,($rp)
bnez AT,.Lcopy
PTR_ADD $rp,8
ld s0,0($fp)
ld s1,8($fp)
ld s2,16($fp)
ld s3,24($fp)
ld s4,32($fp)
ld s5,40($fp)
ld s6,48($fp)
ld s7,56($fp)
li v0,1
jr ra
PTR_ADD sp,$fp,64
.set reorder
END(bn_mul_mont)
.rdata
.asciiz "Montgomery Multiplication for MIPS III/IV, CRYPTOGAMS by <appro\@openssl.org>"
___
print $code;
close STDOUT;