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- #! /usr/bin/env perl
- # Copyright 2010-2020 The OpenSSL Project Authors. All Rights Reserved.
- #
- # Licensed under the OpenSSL license (the "License"). You may not use
- # this file except in compliance with the License. You can obtain a copy
- # in the file LICENSE in the source distribution or at
- # https://www.openssl.org/source/license.html
- #
- # ====================================================================
- # Written by Andy Polyakov <appro@openssl.org> 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, at least not on
- # in-order-execution cores. While 512-bit RSA sign operations can be
- # 65% faster in 64-bit mode, 1024-bit ones are only 15% faster, and
- # 4096-bit ones are up to 15% slower. In 32-bit mode it varies from
- # 16% improvement for 512-bit RSA sign to -33% for 4096-bit RSA
- # verify:-( All comparisons are against bn_mul_mont-free assembler.
- # The module might be of interest to embedded system developers, as
- # the code is smaller than 1KB, yet offers >3x improvement on MIPS64
- # and 75-30% [less for longer keys] on MIPS32 over compiler-generated
- # code.
- ######################################################################
- # There is a number of MIPS ABI in use, O32 and N32/64 are most
- # widely used. Then there is a new contender: NUBI. It appears that if
- # one picks the latter, it's possible to arrange code in ABI neutral
- # manner. Therefore let's stick to NUBI register layout:
- #
- ($zero,$at,$t0,$t1,$t2)=map("\$$_",(0..2,24,25));
- ($a0,$a1,$a2,$a3,$a4,$a5,$a6,$a7)=map("\$$_",(4..11));
- ($s0,$s1,$s2,$s3,$s4,$s5,$s6,$s7,$s8,$s9,$s10,$s11)=map("\$$_",(12..23));
- ($gp,$tp,$sp,$fp,$ra)=map("\$$_",(3,28..31));
- #
- # The return value is placed in $a0. Following coding rules facilitate
- # interoperability:
- #
- # - never ever touch $tp, "thread pointer", former $gp;
- # - copy return value to $t0, former $v0 [or to $a0 if you're adapting
- # old code];
- # - on O32 populate $a4-$a7 with 'lw $aN,4*N($sp)' if necessary;
- #
- # For reference here is register layout for N32/64 MIPS ABIs:
- #
- # ($zero,$at,$v0,$v1)=map("\$$_",(0..3));
- # ($a0,$a1,$a2,$a3,$a4,$a5,$a6,$a7)=map("\$$_",(4..11));
- # ($t0,$t1,$t2,$t3,$t8,$t9)=map("\$$_",(12..15,24,25));
- # ($s0,$s1,$s2,$s3,$s4,$s5,$s6,$s7)=map("\$$_",(16..23));
- # ($gp,$sp,$fp,$ra)=map("\$$_",(28..31));
- #
- $flavour = shift || "o32"; # supported flavours are o32,n32,64,nubi32,nubi64
- if ($flavour =~ /64|n32/i) {
- $PTR_ADD="daddu"; # incidentally works even on n32
- $PTR_SUB="dsubu"; # incidentally works even on n32
- $REG_S="sd";
- $REG_L="ld";
- $SZREG=8;
- } else {
- $PTR_ADD="addu";
- $PTR_SUB="subu";
- $REG_S="sw";
- $REG_L="lw";
- $SZREG=4;
- }
- $SAVED_REGS_MASK = ($flavour =~ /nubi/i) ? 0x00fff000 : 0x00ff0000;
- #
- # <appro@openssl.org>
- #
- ######################################################################
- while (($output=shift) && ($output!~/\w[\w\-]*\.\w+$/)) {}
- open STDOUT,">$output";
- if ($flavour =~ /64|n32/i) {
- $LD="ld";
- $ST="sd";
- $MULTU="dmultu";
- $ADDU="daddu";
- $SUBU="dsubu";
- $BNSZ=8;
- } else {
- $LD="lw";
- $ST="sw";
- $MULTU="multu";
- $ADDU="addu";
- $SUBU="subu";
- $BNSZ=4;
- }
- # 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;
- $lo1=$t1;
- $hi1=$t2;
- $aj=$s0;
- $bi=$s1;
- $nj=$s2;
- $tp=$s3;
- $alo=$s4;
- $ahi=$s5;
- $nlo=$s6;
- $nhi=$s7;
- $tj=$s8;
- $i=$s9;
- $j=$s10;
- $m1=$s11;
- $FRAMESIZE=14;
- $code=<<___;
- #include "mips_arch.h"
- .text
- .set noat
- .set noreorder
- .align 5
- .globl bn_mul_mont
- .ent bn_mul_mont
- bn_mul_mont:
- ___
- $code.=<<___ if ($flavour =~ /o32/i);
- lw $n0,16($sp)
- lw $num,20($sp)
- ___
- $code.=<<___;
- slt $at,$num,4
- bnez $at,1f
- li $t0,0
- slt $at,$num,17 # on in-order CPU
- bnez $at,bn_mul_mont_internal
- nop
- 1: jr $ra
- li $a0,0
- .end bn_mul_mont
- .align 5
- .ent bn_mul_mont_internal
- bn_mul_mont_internal:
- .frame $fp,$FRAMESIZE*$SZREG,$ra
- .mask 0x40000000|$SAVED_REGS_MASK,-$SZREG
- $PTR_SUB $sp,$FRAMESIZE*$SZREG
- $REG_S $fp,($FRAMESIZE-1)*$SZREG($sp)
- $REG_S $s11,($FRAMESIZE-2)*$SZREG($sp)
- $REG_S $s10,($FRAMESIZE-3)*$SZREG($sp)
- $REG_S $s9,($FRAMESIZE-4)*$SZREG($sp)
- $REG_S $s8,($FRAMESIZE-5)*$SZREG($sp)
- $REG_S $s7,($FRAMESIZE-6)*$SZREG($sp)
- $REG_S $s6,($FRAMESIZE-7)*$SZREG($sp)
- $REG_S $s5,($FRAMESIZE-8)*$SZREG($sp)
- $REG_S $s4,($FRAMESIZE-9)*$SZREG($sp)
- ___
- $code.=<<___ if ($flavour =~ /nubi/i);
- $REG_S $s3,($FRAMESIZE-10)*$SZREG($sp)
- $REG_S $s2,($FRAMESIZE-11)*$SZREG($sp)
- $REG_S $s1,($FRAMESIZE-12)*$SZREG($sp)
- $REG_S $s0,($FRAMESIZE-13)*$SZREG($sp)
- ___
- $code.=<<___;
- move $fp,$sp
- .set reorder
- $LD $n0,0($n0)
- $LD $bi,0($bp) # bp[0]
- $LD $aj,0($ap) # ap[0]
- $LD $nj,0($np) # np[0]
- $PTR_SUB $sp,2*$BNSZ # place for two extra words
- sll $num,`log($BNSZ)/log(2)`
- li $at,-4096
- $PTR_SUB $sp,$num
- and $sp,$at
- $MULTU ($aj,$bi)
- $LD $ahi,$BNSZ($ap)
- $LD $nhi,$BNSZ($np)
- mflo ($lo0,$aj,$bi)
- mfhi ($hi0,$aj,$bi)
- $MULTU ($lo0,$n0)
- mflo ($m1,$lo0,$n0)
- $MULTU ($ahi,$bi)
- mflo ($alo,$ahi,$bi)
- mfhi ($ahi,$ahi,$bi)
- $MULTU ($nj,$m1)
- mflo ($lo1,$nj,$m1)
- mfhi ($hi1,$nj,$m1)
- $MULTU ($nhi,$m1)
- $ADDU $lo1,$lo0
- sltu $at,$lo1,$lo0
- $ADDU $hi1,$at
- mflo ($nlo,$nhi,$m1)
- mfhi ($nhi,$nhi,$m1)
- move $tp,$sp
- li $j,2*$BNSZ
- .align 4
- .L1st:
- .set noreorder
- $PTR_ADD $aj,$ap,$j
- $PTR_ADD $nj,$np,$j
- $LD $aj,($aj)
- $LD $nj,($nj)
- $MULTU ($aj,$bi)
- $ADDU $lo0,$alo,$hi0
- $ADDU $lo1,$nlo,$hi1
- sltu $at,$lo0,$hi0
- sltu $t0,$lo1,$hi1
- $ADDU $hi0,$ahi,$at
- $ADDU $hi1,$nhi,$t0
- mflo ($alo,$aj,$bi)
- mfhi ($ahi,$aj,$bi)
- $ADDU $lo1,$lo0
- sltu $at,$lo1,$lo0
- $MULTU ($nj,$m1)
- $ADDU $hi1,$at
- addu $j,$BNSZ
- $ST $lo1,($tp)
- sltu $t0,$j,$num
- mflo ($nlo,$nj,$m1)
- mfhi ($nhi,$nj,$m1)
- bnez $t0,.L1st
- $PTR_ADD $tp,$BNSZ
- .set reorder
- $ADDU $lo0,$alo,$hi0
- sltu $at,$lo0,$hi0
- $ADDU $hi0,$ahi,$at
- $ADDU $lo1,$nlo,$hi1
- sltu $t0,$lo1,$hi1
- $ADDU $hi1,$nhi,$t0
- $ADDU $lo1,$lo0
- sltu $at,$lo1,$lo0
- $ADDU $hi1,$at
- $ST $lo1,($tp)
- $ADDU $hi1,$hi0
- sltu $at,$hi1,$hi0
- $ST $hi1,$BNSZ($tp)
- $ST $at,2*$BNSZ($tp)
- li $i,$BNSZ
- .align 4
- .Louter:
- $PTR_ADD $bi,$bp,$i
- $LD $bi,($bi)
- $LD $aj,($ap)
- $LD $ahi,$BNSZ($ap)
- $LD $tj,($sp)
- $MULTU ($aj,$bi)
- $LD $nj,($np)
- $LD $nhi,$BNSZ($np)
- mflo ($lo0,$aj,$bi)
- mfhi ($hi0,$aj,$bi)
- $ADDU $lo0,$tj
- $MULTU ($lo0,$n0)
- sltu $at,$lo0,$tj
- $ADDU $hi0,$at
- mflo ($m1,$lo0,$n0)
- $MULTU ($ahi,$bi)
- mflo ($alo,$ahi,$bi)
- mfhi ($ahi,$ahi,$bi)
- $MULTU ($nj,$m1)
- mflo ($lo1,$nj,$m1)
- mfhi ($hi1,$nj,$m1)
- $MULTU ($nhi,$m1)
- $ADDU $lo1,$lo0
- sltu $at,$lo1,$lo0
- $ADDU $hi1,$at
- mflo ($nlo,$nhi,$m1)
- mfhi ($nhi,$nhi,$m1)
- move $tp,$sp
- li $j,2*$BNSZ
- $LD $tj,$BNSZ($tp)
- .align 4
- .Linner:
- .set noreorder
- $PTR_ADD $aj,$ap,$j
- $PTR_ADD $nj,$np,$j
- $LD $aj,($aj)
- $LD $nj,($nj)
- $MULTU ($aj,$bi)
- $ADDU $lo0,$alo,$hi0
- $ADDU $lo1,$nlo,$hi1
- sltu $at,$lo0,$hi0
- sltu $t0,$lo1,$hi1
- $ADDU $hi0,$ahi,$at
- $ADDU $hi1,$nhi,$t0
- mflo ($alo,$aj,$bi)
- mfhi ($ahi,$aj,$bi)
- $ADDU $lo0,$tj
- addu $j,$BNSZ
- $MULTU ($nj,$m1)
- sltu $at,$lo0,$tj
- $ADDU $lo1,$lo0
- $ADDU $hi0,$at
- sltu $t0,$lo1,$lo0
- $LD $tj,2*$BNSZ($tp)
- $ADDU $hi1,$t0
- sltu $at,$j,$num
- mflo ($nlo,$nj,$m1)
- mfhi ($nhi,$nj,$m1)
- $ST $lo1,($tp)
- bnez $at,.Linner
- $PTR_ADD $tp,$BNSZ
- .set reorder
- $ADDU $lo0,$alo,$hi0
- sltu $at,$lo0,$hi0
- $ADDU $hi0,$ahi,$at
- $ADDU $lo0,$tj
- sltu $t0,$lo0,$tj
- $ADDU $hi0,$t0
- $LD $tj,2*$BNSZ($tp)
- $ADDU $lo1,$nlo,$hi1
- sltu $at,$lo1,$hi1
- $ADDU $hi1,$nhi,$at
- $ADDU $lo1,$lo0
- sltu $t0,$lo1,$lo0
- $ADDU $hi1,$t0
- $ST $lo1,($tp)
- $ADDU $lo1,$hi1,$hi0
- sltu $hi1,$lo1,$hi0
- $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
- .Lcopy: $LD $nj,($tp) # conditional move
- $LD $aj,($rp)
- $ST $zero,($tp)
- $PTR_ADD $tp,$BNSZ
- and $nj,$hi0
- and $aj,$hi1
- or $aj,$nj
- 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 or die "error closing STDOUT: $!";
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