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#!/usr/bin/env perl
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#
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# ====================================================================
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# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
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# project. The module is, however, dual licensed under OpenSSL and
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# CRYPTOGAMS licenses depending on where you obtain it. For further
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# details see http://www.openssl.org/~appro/cryptogams/.
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# ====================================================================
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# This module doesn't present direct interest for OpenSSL, because it
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# doesn't provide better performance for longer keys. While 512-bit
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# RSA private key operations are 40% faster, 1024-bit ones are hardly
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# faster at all, while longer key operations are slower by up to 20%.
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# It might be of interest to embedded system developers though, as
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# it's smaller than 1KB, yet offers ~3x improvement over compiler
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# generated code.
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#
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# The module targets N32 and N64 MIPS ABIs and currently is a bit
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# IRIX-centric, i.e. is likely to require adaptation for other OSes.
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# int bn_mul_mont(
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$rp="a0"; # BN_ULONG *rp,
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$ap="a1"; # const BN_ULONG *ap,
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$bp="a2"; # const BN_ULONG *bp,
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$np="a3"; # const BN_ULONG *np,
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$n0="a4"; # const BN_ULONG *n0,
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$num="a5"; # int num);
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$lo0="a6";
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$hi0="a7";
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$lo1="v0";
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$hi1="v1";
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$aj="t0";
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$bi="t1";
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$nj="t2";
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$tp="t3";
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$alo="s0";
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$ahi="s1";
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$nlo="s2";
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$nhi="s3";
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$tj="s4";
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$i="s5";
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$j="s6";
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$fp="t8";
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$m1="t9";
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$FRAME=8*(2+8);
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$code=<<___;
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#include <asm.h>
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#include <regdef.h>
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.text
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.set noat
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.set reorder
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.align 5
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.globl bn_mul_mont
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.ent bn_mul_mont
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bn_mul_mont:
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.set noreorder
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PTR_SUB sp,64
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move $fp,sp
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.frame $fp,64,ra
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slt AT,$num,4
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li v0,0
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beqzl AT,.Lproceed
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nop
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jr ra
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PTR_ADD sp,$fp,64
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.set reorder
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.align 5
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.Lproceed:
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ld $n0,0($n0)
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ld $bi,0($bp) # bp[0]
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ld $aj,0($ap) # ap[0]
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ld $nj,0($np) # np[0]
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PTR_SUB sp,16 # place for two extra words
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sll $num,3
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li AT,-4096
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PTR_SUB sp,$num
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and sp,AT
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sd s0,0($fp)
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sd s1,8($fp)
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sd s2,16($fp)
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sd s3,24($fp)
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sd s4,32($fp)
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sd s5,40($fp)
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sd s6,48($fp)
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sd s7,56($fp)
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dmultu $aj,$bi
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ld $alo,8($ap)
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ld $nlo,8($np)
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mflo $lo0
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mfhi $hi0
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dmultu $lo0,$n0
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mflo $m1
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dmultu $alo,$bi
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mflo $alo
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mfhi $ahi
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dmultu $nj,$m1
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mflo $lo1
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mfhi $hi1
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dmultu $nlo,$m1
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daddu $lo1,$lo0
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sltu AT,$lo1,$lo0
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daddu $hi1,AT
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mflo $nlo
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mfhi $nhi
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move $tp,sp
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li $j,16
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.align 4
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.L1st:
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.set noreorder
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PTR_ADD $aj,$ap,$j
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ld $aj,($aj)
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PTR_ADD $nj,$np,$j
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ld $nj,($nj)
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dmultu $aj,$bi
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daddu $lo0,$alo,$hi0
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daddu $lo1,$nlo,$hi1
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sltu AT,$lo0,$hi0
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sltu s7,$lo1,$hi1
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daddu $hi0,$ahi,AT
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daddu $hi1,$nhi,s7
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mflo $alo
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mfhi $ahi
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daddu $lo1,$lo0
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sltu AT,$lo1,$lo0
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dmultu $nj,$m1
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daddu $hi1,AT
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addu $j,8
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sd $lo1,($tp)
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sltu s7,$j,$num
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mflo $nlo
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mfhi $nhi
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bnez s7,.L1st
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PTR_ADD $tp,8
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.set reorder
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daddu $lo0,$alo,$hi0
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sltu AT,$lo0,$hi0
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daddu $hi0,$ahi,AT
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daddu $lo1,$nlo,$hi1
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sltu s7,$lo1,$hi1
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daddu $hi1,$nhi,s7
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daddu $lo1,$lo0
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sltu AT,$lo1,$lo0
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daddu $hi1,AT
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sd $lo1,($tp)
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daddu $hi1,$hi0
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sltu AT,$hi1,$hi0
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sd $hi1,8($tp)
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sd AT,16($tp)
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li $i,8
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.align 4
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.Louter:
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PTR_ADD $bi,$bp,$i
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ld $bi,($bi)
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ld $aj,($ap)
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ld $alo,8($ap)
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ld $tj,(sp)
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dmultu $aj,$bi
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ld $nj,($np)
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ld $nlo,8($np)
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mflo $lo0
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mfhi $hi0
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daddu $lo0,$tj
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dmultu $lo0,$n0
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sltu AT,$lo0,$tj
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daddu $hi0,AT
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mflo $m1
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dmultu $alo,$bi
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mflo $alo
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mfhi $ahi
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dmultu $nj,$m1
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mflo $lo1
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mfhi $hi1
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dmultu $nlo,$m1
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daddu $lo1,$lo0
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sltu AT,$lo1,$lo0
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daddu $hi1,AT
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mflo $nlo
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mfhi $nhi
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move $tp,sp
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li $j,16
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ld $tj,8($tp)
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.align 4
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.Linner:
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.set noreorder
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PTR_ADD $aj,$ap,$j
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ld $aj,($aj)
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PTR_ADD $nj,$np,$j
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ld $nj,($nj)
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dmultu $aj,$bi
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daddu $lo0,$alo,$hi0
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daddu $lo1,$nlo,$hi1
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sltu AT,$lo0,$hi0
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sltu s7,$lo1,$hi1
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daddu $hi0,$ahi,AT
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daddu $hi1,$nhi,s7
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mflo $alo
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mfhi $ahi
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daddu $lo0,$tj
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addu $j,8
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dmultu $nj,$m1
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sltu AT,$lo0,$tj
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daddu $lo1,$lo0
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daddu $hi0,AT
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sltu s7,$lo1,$lo0
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ld $tj,16($tp)
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daddu $hi1,s7
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sltu AT,$j,$num
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mflo $nlo
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mfhi $nhi
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sd $lo1,($tp)
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bnez AT,.Linner
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PTR_ADD $tp,8
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.set reorder
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daddu $lo0,$alo,$hi0
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sltu AT,$lo0,$hi0
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daddu $hi0,$ahi,AT
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daddu $lo0,$tj
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sltu s7,$lo0,$tj
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daddu $hi0,s7
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ld $tj,16($tp)
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daddu $lo1,$nlo,$hi1
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sltu AT,$lo1,$hi1
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daddu $hi1,$nhi,AT
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daddu $lo1,$lo0
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sltu s7,$lo1,$lo0
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daddu $hi1,s7
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sd $lo1,($tp)
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daddu $lo1,$hi1,$hi0
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sltu $hi1,$lo1,$hi0
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daddu $lo1,$tj
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sltu AT,$lo1,$tj
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daddu $hi1,AT
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sd $lo1,8($tp)
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sd $hi1,16($tp)
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addu $i,8
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sltu s7,$i,$num
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bnez s7,.Louter
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.set noreorder
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PTR_ADD $tj,sp,$num # &tp[num]
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move $tp,sp
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move $ap,sp
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li $hi0,0 # clear borrow bit
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.align 4
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.Lsub: ld $lo0,($tp)
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ld $lo1,($np)
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PTR_ADD $tp,8
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PTR_ADD $np,8
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dsubu $lo1,$lo0,$lo1 # tp[i]-np[i]
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sgtu AT,$lo1,$lo0
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dsubu $lo0,$lo1,$hi0
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sgtu $hi0,$lo0,$lo1
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sd $lo0,($rp)
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or $hi0,AT
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sltu AT,$tp,$tj
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bnez AT,.Lsub
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PTR_ADD $rp,8
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dsubu $hi0,$hi1,$hi0 # handle upmost overflow bit
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move $tp,sp
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PTR_SUB $rp,$num # restore rp
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not $hi1,$hi0
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and $ap,$hi0,sp
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and $bp,$hi1,$rp
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or $ap,$ap,$bp # ap=borrow?tp:rp
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.align 4
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.Lcopy: ld $aj,($ap)
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PTR_ADD $ap,8
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PTR_ADD $tp,8
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sd zero,-8($tp)
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sltu AT,$tp,$tj
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sd $aj,($rp)
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bnez AT,.Lcopy
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PTR_ADD $rp,8
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ld s0,0($fp)
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ld s1,8($fp)
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ld s2,16($fp)
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ld s3,24($fp)
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ld s4,32($fp)
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ld s5,40($fp)
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ld s6,48($fp)
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ld s7,56($fp)
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li v0,1
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jr ra
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PTR_ADD sp,$fp,64
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.set reorder
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END(bn_mul_mont)
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.rdata
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.asciiz "Montgomery Multiplication for MIPS III/IV, CRYPTOGAMS by <appro\@openssl.org>"
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___
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print $code;
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close STDOUT;
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