| #!/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; |