427 lines
8.7 KiB
Perl
427 lines
8.7 KiB
Perl
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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@openssl.org> 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, at least not on
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# in-order-execution cores. While 512-bit RSA sign operations can be
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# 65% faster in 64-bit mode, 1024-bit ones are only 15% faster, and
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# 4096-bit ones are up to 15% slower. In 32-bit mode it varies from
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# 16% improvement for 512-bit RSA sign to -33% for 4096-bit RSA
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# verify:-( All comparisons are against bn_mul_mont-free assembler.
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# The module might be of interest to embedded system developers, as
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# the code is smaller than 1KB, yet offers >3x improvement on MIPS64
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# and 75-30% [less for longer keys] on MIPS32 over compiler-generated
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# code.
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######################################################################
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# There is a number of MIPS ABI in use, O32 and N32/64 are most
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# widely used. Then there is a new contender: NUBI. It appears that if
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# one picks the latter, it's possible to arrange code in ABI neutral
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# manner. Therefore let's stick to NUBI register layout:
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#
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($zero,$at,$t0,$t1,$t2)=map("\$$_",(0..2,24,25));
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($a0,$a1,$a2,$a3,$a4,$a5,$a6,$a7)=map("\$$_",(4..11));
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($s0,$s1,$s2,$s3,$s4,$s5,$s6,$s7,$s8,$s9,$s10,$s11)=map("\$$_",(12..23));
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($gp,$tp,$sp,$fp,$ra)=map("\$$_",(3,28..31));
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#
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# The return value is placed in $a0. Following coding rules facilitate
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# interoperability:
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#
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# - never ever touch $tp, "thread pointer", former $gp;
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# - copy return value to $t0, former $v0 [or to $a0 if you're adapting
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# old code];
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# - on O32 populate $a4-$a7 with 'lw $aN,4*N($sp)' if necessary;
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#
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# For reference here is register layout for N32/64 MIPS ABIs:
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#
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# ($zero,$at,$v0,$v1)=map("\$$_",(0..3));
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# ($a0,$a1,$a2,$a3,$a4,$a5,$a6,$a7)=map("\$$_",(4..11));
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# ($t0,$t1,$t2,$t3,$t8,$t9)=map("\$$_",(12..15,24,25));
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# ($s0,$s1,$s2,$s3,$s4,$s5,$s6,$s7)=map("\$$_",(16..23));
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# ($gp,$sp,$fp,$ra)=map("\$$_",(28..31));
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#
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$flavour = shift; # supported flavours are o32,n32,64,nubi32,nubi64
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if ($flavour =~ /64|n32/i) {
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$PTR_ADD="dadd"; # incidentally works even on n32
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$PTR_SUB="dsub"; # incidentally works even on n32
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$REG_S="sd";
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$REG_L="ld";
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$SZREG=8;
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} else {
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$PTR_ADD="add";
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$PTR_SUB="sub";
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$REG_S="sw";
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$REG_L="lw";
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$SZREG=4;
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}
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$SAVED_REGS_MASK = ($flavour =~ /nubi/i) ? 0x00fff000 : 0x00ff0000;
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#
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# <appro@openssl.org>
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#
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######################################################################
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while (($output=shift) && ($output!~/^\w[\w\-]*\.\w+$/)) {}
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open STDOUT,">$output";
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if ($flavour =~ /64|n32/i) {
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$LD="ld";
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$ST="sd";
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$MULTU="dmultu";
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$ADDU="daddu";
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$SUBU="dsubu";
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$BNSZ=8;
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} else {
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$LD="lw";
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$ST="sw";
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$MULTU="multu";
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$ADDU="addu";
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$SUBU="subu";
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$BNSZ=4;
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}
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# int bn_mul_mont(
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$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=$t1;
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$hi1=$t2;
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$aj=$s0;
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$bi=$s1;
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$nj=$s2;
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$tp=$s3;
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$alo=$s4;
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$ahi=$s5;
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$nlo=$s6;
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$nhi=$s7;
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$tj=$s8;
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$i=$s9;
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$j=$s10;
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$m1=$s11;
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$FRAMESIZE=14;
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$code=<<___;
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.text
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.set noat
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.set noreorder
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.align 5
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.globl bn_mul_mont
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.ent bn_mul_mont
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bn_mul_mont:
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___
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$code.=<<___ if ($flavour =~ /o32/i);
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lw $n0,16($sp)
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lw $num,20($sp)
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___
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$code.=<<___;
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slt $at,$num,4
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bnez $at,1f
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li $t0,0
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slt $at,$num,17 # on in-order CPU
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bnez $at,bn_mul_mont_internal
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nop
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1: jr $ra
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li $a0,0
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.end bn_mul_mont
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.align 5
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.ent bn_mul_mont_internal
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bn_mul_mont_internal:
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.frame $fp,$FRAMESIZE*$SZREG,$ra
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.mask 0x40000000|$SAVED_REGS_MASK,-$SZREG
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$PTR_SUB $sp,$FRAMESIZE*$SZREG
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$REG_S $fp,($FRAMESIZE-1)*$SZREG($sp)
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$REG_S $s11,($FRAMESIZE-2)*$SZREG($sp)
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$REG_S $s10,($FRAMESIZE-3)*$SZREG($sp)
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$REG_S $s9,($FRAMESIZE-4)*$SZREG($sp)
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$REG_S $s8,($FRAMESIZE-5)*$SZREG($sp)
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$REG_S $s7,($FRAMESIZE-6)*$SZREG($sp)
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$REG_S $s6,($FRAMESIZE-7)*$SZREG($sp)
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$REG_S $s5,($FRAMESIZE-8)*$SZREG($sp)
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$REG_S $s4,($FRAMESIZE-9)*$SZREG($sp)
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___
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$code.=<<___ if ($flavour =~ /nubi/i);
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$REG_S $s3,($FRAMESIZE-10)*$SZREG($sp)
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$REG_S $s2,($FRAMESIZE-11)*$SZREG($sp)
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$REG_S $s1,($FRAMESIZE-12)*$SZREG($sp)
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$REG_S $s0,($FRAMESIZE-13)*$SZREG($sp)
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___
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$code.=<<___;
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move $fp,$sp
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.set reorder
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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 $sp,2*$BNSZ # place for two extra words
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sll $num,`log($BNSZ)/log(2)`
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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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$MULTU $aj,$bi
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$LD $alo,$BNSZ($ap)
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$LD $nlo,$BNSZ($np)
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mflo $lo0
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mfhi $hi0
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$MULTU $lo0,$n0
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mflo $m1
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$MULTU $alo,$bi
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mflo $alo
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mfhi $ahi
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$MULTU $nj,$m1
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mflo $lo1
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mfhi $hi1
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$MULTU $nlo,$m1
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$ADDU $lo1,$lo0
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sltu $at,$lo1,$lo0
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$ADDU $hi1,$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 $j,2*$BNSZ
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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,$j
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$PTR_ADD $nj,$np,$j
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$LD $aj,($aj)
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$LD $nj,($nj)
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$MULTU $aj,$bi
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$ADDU $lo0,$alo,$hi0
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$ADDU $lo1,$nlo,$hi1
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sltu $at,$lo0,$hi0
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sltu $t0,$lo1,$hi1
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$ADDU $hi0,$ahi,$at
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$ADDU $hi1,$nhi,$t0
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mflo $alo
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mfhi $ahi
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$ADDU $lo1,$lo0
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sltu $at,$lo1,$lo0
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$MULTU $nj,$m1
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$ADDU $hi1,$at
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addu $j,$BNSZ
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$ST $lo1,($tp)
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sltu $t0,$j,$num
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mflo $nlo
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mfhi $nhi
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bnez $t0,.L1st
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$PTR_ADD $tp,$BNSZ
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.set reorder
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$ADDU $lo0,$alo,$hi0
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sltu $at,$lo0,$hi0
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$ADDU $hi0,$ahi,$at
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$ADDU $lo1,$nlo,$hi1
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sltu $t0,$lo1,$hi1
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$ADDU $hi1,$nhi,$t0
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$ADDU $lo1,$lo0
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sltu $at,$lo1,$lo0
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$ADDU $hi1,$at
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$ST $lo1,($tp)
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$ADDU $hi1,$hi0
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sltu $at,$hi1,$hi0
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$ST $hi1,$BNSZ($tp)
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$ST $at,2*$BNSZ($tp)
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li $i,$BNSZ
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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 $alo,$BNSZ($ap)
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$LD $tj,($sp)
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$MULTU $aj,$bi
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$LD $nj,($np)
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$LD $nlo,$BNSZ($np)
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mflo $lo0
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mfhi $hi0
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$ADDU $lo0,$tj
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$MULTU $lo0,$n0
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sltu $at,$lo0,$tj
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$ADDU $hi0,$at
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mflo $m1
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$MULTU $alo,$bi
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mflo $alo
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mfhi $ahi
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$MULTU $nj,$m1
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mflo $lo1
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mfhi $hi1
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$MULTU $nlo,$m1
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$ADDU $lo1,$lo0
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sltu $at,$lo1,$lo0
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$ADDU $hi1,$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 $j,2*$BNSZ
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$LD $tj,$BNSZ($tp)
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.align 4
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.Linner:
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.set noreorder
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$PTR_ADD $aj,$ap,$j
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$PTR_ADD $nj,$np,$j
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$LD $aj,($aj)
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$LD $nj,($nj)
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$MULTU $aj,$bi
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$ADDU $lo0,$alo,$hi0
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$ADDU $lo1,$nlo,$hi1
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sltu $at,$lo0,$hi0
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sltu $t0,$lo1,$hi1
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$ADDU $hi0,$ahi,$at
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$ADDU $hi1,$nhi,$t0
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mflo $alo
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mfhi $ahi
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$ADDU $lo0,$tj
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addu $j,$BNSZ
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$MULTU $nj,$m1
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sltu $at,$lo0,$tj
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$ADDU $lo1,$lo0
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$ADDU $hi0,$at
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sltu $t0,$lo1,$lo0
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$LD $tj,2*$BNSZ($tp)
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$ADDU $hi1,$t0
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sltu $at,$j,$num
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mflo $nlo
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mfhi $nhi
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$ST $lo1,($tp)
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bnez $at,.Linner
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$PTR_ADD $tp,$BNSZ
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.set reorder
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$ADDU $lo0,$alo,$hi0
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sltu $at,$lo0,$hi0
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$ADDU $hi0,$ahi,$at
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$ADDU $lo0,$tj
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sltu $t0,$lo0,$tj
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$ADDU $hi0,$t0
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$LD $tj,2*$BNSZ($tp)
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$ADDU $lo1,$nlo,$hi1
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sltu $at,$lo1,$hi1
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$ADDU $hi1,$nhi,$at
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$ADDU $lo1,$lo0
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sltu $t0,$lo1,$lo0
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$ADDU $hi1,$t0
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$ST $lo1,($tp)
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$ADDU $lo1,$hi1,$hi0
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sltu $hi1,$lo1,$hi0
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$ADDU $lo1,$tj
|
|||
|
|
sltu $at,$lo1,$tj
|
|||
|
|
$ADDU $hi1,$at
|
|||
|
|
$ST $lo1,$BNSZ($tp)
|
|||
|
|
$ST $hi1,2*$BNSZ($tp)
|
|||
|
|
|
|||
|
|
addu $i,$BNSZ
|
|||
|
|
sltu $t0,$i,$num
|
|||
|
|
bnez $t0,.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 $tp,$BNSZ
|
|||
|
|
$PTR_ADD $np,$BNSZ
|
|||
|
|
$SUBU $lo1,$lo0,$lo1 # tp[i]-np[i]
|
|||
|
|
sgtu $at,$lo1,$lo0
|
|||
|
|
$SUBU $lo0,$lo1,$hi0
|
|||
|
|
sgtu $hi0,$lo0,$lo1
|
|||
|
|
$ST $lo0,($rp)
|
|||
|
|
or $hi0,$at
|
|||
|
|
sltu $at,$tp,$tj
|
|||
|
|
bnez $at,.Lsub
|
|||
|
|
$PTR_ADD $rp,$BNSZ
|
|||
|
|
|
|||
|
|
$SUBU $hi0,$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 $ap,$BNSZ
|
|||
|
|
$ST $zero,($tp)
|
|||
|
|
$PTR_ADD $tp,$BNSZ
|
|||
|
|
sltu $at,$tp,$tj
|
|||
|
|
$ST $aj,($rp)
|
|||
|
|
bnez $at,.Lcopy
|
|||
|
|
$PTR_ADD $rp,$BNSZ
|
|||
|
|
|
|||
|
|
li $a0,1
|
|||
|
|
li $t0,1
|
|||
|
|
|
|||
|
|
.set noreorder
|
|||
|
|
move $sp,$fp
|
|||
|
|
$REG_L $fp,($FRAMESIZE-1)*$SZREG($sp)
|
|||
|
|
$REG_L $s11,($FRAMESIZE-2)*$SZREG($sp)
|
|||
|
|
$REG_L $s10,($FRAMESIZE-3)*$SZREG($sp)
|
|||
|
|
$REG_L $s9,($FRAMESIZE-4)*$SZREG($sp)
|
|||
|
|
$REG_L $s8,($FRAMESIZE-5)*$SZREG($sp)
|
|||
|
|
$REG_L $s7,($FRAMESIZE-6)*$SZREG($sp)
|
|||
|
|
$REG_L $s6,($FRAMESIZE-7)*$SZREG($sp)
|
|||
|
|
$REG_L $s5,($FRAMESIZE-8)*$SZREG($sp)
|
|||
|
|
$REG_L $s4,($FRAMESIZE-9)*$SZREG($sp)
|
|||
|
|
___
|
|||
|
|
$code.=<<___ if ($flavour =~ /nubi/i);
|
|||
|
|
$REG_L $s3,($FRAMESIZE-10)*$SZREG($sp)
|
|||
|
|
$REG_L $s2,($FRAMESIZE-11)*$SZREG($sp)
|
|||
|
|
$REG_L $s1,($FRAMESIZE-12)*$SZREG($sp)
|
|||
|
|
$REG_L $s0,($FRAMESIZE-13)*$SZREG($sp)
|
|||
|
|
___
|
|||
|
|
$code.=<<___;
|
|||
|
|
jr $ra
|
|||
|
|
$PTR_ADD $sp,$FRAMESIZE*$SZREG
|
|||
|
|
.end bn_mul_mont_internal
|
|||
|
|
.rdata
|
|||
|
|
.asciiz "Montgomery Multiplication for MIPS, CRYPTOGAMS by <appro\@openssl.org>"
|
|||
|
|
___
|
|||
|
|
|
|||
|
|
$code =~ s/\`([^\`]*)\`/eval $1/gem;
|
|||
|
|
|
|||
|
|
print $code;
|
|||
|
|
close STDOUT;
|