#!/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/. # ==================================================================== # # On 21264 RSA sign performance improves by 70/35/20/15 percent for # 512/1024/2048/4096 bit key lengths. This is against vendor compiler # instructed to '-tune host' code with in-line assembler. Other # benchmarks improve by 15-20%. To anchor it to something else, the # code provides approximately the same performance per GHz as AMD64. # I.e. if you compare 1GHz 21264 and 2GHz Opteron, you'll observe ~2x # difference. # 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="t0"; $hi0="t1"; $lo1="t2"; $hi1="t3"; $aj="t4"; $bi="t5"; $nj="t6"; $tp="t7"; $alo="t8"; $ahi="t9"; $nlo="t10"; $nhi="t11"; $tj="t12"; $i="s3"; $j="s4"; $m1="s5"; $code=<<___; #ifdef __linux__ #include <asm/regdef.h> #else #include <asm.h> #include <regdef.h> #endif .text .set noat .set noreorder .globl bn_mul_mont .align 5 .ent bn_mul_mont bn_mul_mont: lda sp,-48(sp) stq ra,0(sp) stq s3,8(sp) stq s4,16(sp) stq s5,24(sp) stq fp,32(sp) mov sp,fp .mask 0x0400f000,-48 .frame fp,48,ra .prologue 0 .align 4 .set reorder sextl $num,$num mov 0,v0 cmplt $num,4,AT bne AT,.Lexit ldq $hi0,0($ap) # ap[0] s8addq $num,16,AT ldq $aj,8($ap) subq sp,AT,sp ldq $bi,0($bp) # bp[0] lda AT,-4096(zero) # mov -4096,AT ldq $n0,0($n0) and sp,AT,sp mulq $hi0,$bi,$lo0 ldq $hi1,0($np) # np[0] umulh $hi0,$bi,$hi0 ldq $nj,8($np) mulq $lo0,$n0,$m1 mulq $hi1,$m1,$lo1 umulh $hi1,$m1,$hi1 addq $lo1,$lo0,$lo1 cmpult $lo1,$lo0,AT addq $hi1,AT,$hi1 mulq $aj,$bi,$alo mov 2,$j umulh $aj,$bi,$ahi mov sp,$tp mulq $nj,$m1,$nlo s8addq $j,$ap,$aj umulh $nj,$m1,$nhi s8addq $j,$np,$nj .align 4 .L1st: .set noreorder ldq $aj,0($aj) addl $j,1,$j ldq $nj,0($nj) lda $tp,8($tp) addq $alo,$hi0,$lo0 mulq $aj,$bi,$alo cmpult $lo0,$hi0,AT addq $nlo,$hi1,$lo1 mulq $nj,$m1,$nlo addq $ahi,AT,$hi0 cmpult $lo1,$hi1,v0 cmplt $j,$num,$tj umulh $aj,$bi,$ahi addq $nhi,v0,$hi1 addq $lo1,$lo0,$lo1 s8addq $j,$ap,$aj umulh $nj,$m1,$nhi cmpult $lo1,$lo0,v0 addq $hi1,v0,$hi1 s8addq $j,$np,$nj stq $lo1,-8($tp) nop unop bne $tj,.L1st .set reorder addq $alo,$hi0,$lo0 addq $nlo,$hi1,$lo1 cmpult $lo0,$hi0,AT cmpult $lo1,$hi1,v0 addq $ahi,AT,$hi0 addq $nhi,v0,$hi1 addq $lo1,$lo0,$lo1 cmpult $lo1,$lo0,v0 addq $hi1,v0,$hi1 stq $lo1,0($tp) addq $hi1,$hi0,$hi1 cmpult $hi1,$hi0,AT stq $hi1,8($tp) stq AT,16($tp) mov 1,$i .align 4 .Louter: s8addq $i,$bp,$bi ldq $hi0,0($ap) ldq $aj,8($ap) ldq $bi,0($bi) ldq $hi1,0($np) ldq $nj,8($np) ldq $tj,0(sp) mulq $hi0,$bi,$lo0 umulh $hi0,$bi,$hi0 addq $lo0,$tj,$lo0 cmpult $lo0,$tj,AT addq $hi0,AT,$hi0 mulq $lo0,$n0,$m1 mulq $hi1,$m1,$lo1 umulh $hi1,$m1,$hi1 addq $lo1,$lo0,$lo1 cmpult $lo1,$lo0,AT mov 2,$j addq $hi1,AT,$hi1 mulq $aj,$bi,$alo mov sp,$tp umulh $aj,$bi,$ahi mulq $nj,$m1,$nlo s8addq $j,$ap,$aj umulh $nj,$m1,$nhi .align 4 .Linner: .set noreorder ldq $tj,8($tp) #L0 nop #U1 ldq $aj,0($aj) #L1 s8addq $j,$np,$nj #U0 ldq $nj,0($nj) #L0 nop #U1 addq $alo,$hi0,$lo0 #L1 lda $tp,8($tp) mulq $aj,$bi,$alo #U1 cmpult $lo0,$hi0,AT #L0 addq $nlo,$hi1,$lo1 #L1 addl $j,1,$j mulq $nj,$m1,$nlo #U1 addq $ahi,AT,$hi0 #L0 addq $lo0,$tj,$lo0 #L1 cmpult $lo1,$hi1,v0 #U0 umulh $aj,$bi,$ahi #U1 cmpult $lo0,$tj,AT #L0 addq $lo1,$lo0,$lo1 #L1 addq $nhi,v0,$hi1 #U0 umulh $nj,$m1,$nhi #U1 s8addq $j,$ap,$aj #L0 cmpult $lo1,$lo0,v0 #L1 cmplt $j,$num,$tj #U0 # borrow $tj addq $hi0,AT,$hi0 #L0 addq $hi1,v0,$hi1 #U1 stq $lo1,-8($tp) #L1 bne $tj,.Linner #U0 .set reorder ldq $tj,8($tp) addq $alo,$hi0,$lo0 addq $nlo,$hi1,$lo1 cmpult $lo0,$hi0,AT cmpult $lo1,$hi1,v0 addq $ahi,AT,$hi0 addq $nhi,v0,$hi1 addq $lo0,$tj,$lo0 cmpult $lo0,$tj,AT addq $hi0,AT,$hi0 ldq $tj,16($tp) addq $lo1,$lo0,$j cmpult $j,$lo0,v0 addq $hi1,v0,$hi1 addq $hi1,$hi0,$lo1 stq $j,0($tp) cmpult $lo1,$hi0,$hi1 addq $lo1,$tj,$lo1 cmpult $lo1,$tj,AT addl $i,1,$i addq $hi1,AT,$hi1 stq $lo1,8($tp) cmplt $i,$num,$tj # borrow $tj stq $hi1,16($tp) bne $tj,.Louter s8addq $num,sp,$tj # &tp[num] mov $rp,$bp # put rp aside mov sp,$tp mov sp,$ap mov 0,$hi0 # clear borrow bit .align 4 .Lsub: ldq $lo0,0($tp) ldq $lo1,0($np) lda $tp,8($tp) lda $np,8($np) subq $lo0,$lo1,$lo1 # tp[i]-np[i] cmpult $lo0,$lo1,AT subq $lo1,$hi0,$lo0 cmpult $lo1,$lo0,$hi0 or $hi0,AT,$hi0 stq $lo0,0($rp) cmpult $tp,$tj,v0 lda $rp,8($rp) bne v0,.Lsub subq $hi1,$hi0,$hi0 # handle upmost overflow bit mov sp,$tp mov $bp,$rp # restore rp and sp,$hi0,$ap bic $bp,$hi0,$bp bis $bp,$ap,$ap # ap=borrow?tp:rp .align 4 .Lcopy: ldq $aj,0($ap) # copy or in-place refresh lda $tp,8($tp) lda $rp,8($rp) lda $ap,8($ap) stq zero,-8($tp) # zap tp cmpult $tp,$tj,AT stq $aj,-8($rp) bne AT,.Lcopy mov 1,v0 .Lexit: .set noreorder mov fp,sp /*ldq ra,0(sp)*/ ldq s3,8(sp) ldq s4,16(sp) ldq s5,24(sp) ldq fp,32(sp) lda sp,48(sp) ret (ra) .end bn_mul_mont .ascii "Montgomery Multiplication for Alpha, CRYPTOGAMS by <appro\@openssl.org>" .align 2 ___ print $code; close STDOUT;