| #!/usr/bin/env perl |
| # |
| # ==================================================================== |
| # 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)); |
| # |
| $flavour = shift; # supported flavours are o32,n32,64,nubi32,nubi64 |
| |
| if ($flavour =~ /64|n32/i) { |
| $PTR_ADD="dadd"; # incidentally works even on n32 |
| $PTR_SUB="dsub"; # incidentally works even on n32 |
| $REG_S="sd"; |
| $REG_L="ld"; |
| $SZREG=8; |
| } else { |
| $PTR_ADD="add"; |
| $PTR_SUB="sub"; |
| $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=<<___; |
| .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 |
| bnezl $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 $alo,$BNSZ($ap) |
| $LD $nlo,$BNSZ($np) |
| mflo $lo0 |
| mfhi $hi0 |
| $MULTU $lo0,$n0 |
| mflo $m1 |
| |
| $MULTU $alo,$bi |
| mflo $alo |
| mfhi $ahi |
| |
| $MULTU $nj,$m1 |
| mflo $lo1 |
| mfhi $hi1 |
| $MULTU $nlo,$m1 |
| $ADDU $lo1,$lo0 |
| sltu $at,$lo1,$lo0 |
| $ADDU $hi1,$at |
| mflo $nlo |
| mfhi $nhi |
| |
| 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 |
| mfhi $ahi |
| |
| $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 |
| mfhi $nhi |
| |
| 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 $alo,$BNSZ($ap) |
| $LD $tj,($sp) |
| |
| $MULTU $aj,$bi |
| $LD $nj,($np) |
| $LD $nlo,$BNSZ($np) |
| mflo $lo0 |
| mfhi $hi0 |
| $ADDU $lo0,$tj |
| $MULTU $lo0,$n0 |
| sltu $at,$lo0,$tj |
| $ADDU $hi0,$at |
| mflo $m1 |
| |
| $MULTU $alo,$bi |
| mflo $alo |
| mfhi $ahi |
| |
| $MULTU $nj,$m1 |
| mflo $lo1 |
| mfhi $hi1 |
| |
| $MULTU $nlo,$m1 |
| $ADDU $lo1,$lo0 |
| sltu $at,$lo1,$lo0 |
| $ADDU $hi1,$at |
| mflo $nlo |
| mfhi $nhi |
| |
| 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 |
| mfhi $ahi |
| |
| $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 |
| mfhi $nhi |
| $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 |
| |
| 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; |
