#!/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;