#!/usr/bin/env perl # ==================================================================== # Written by Andy Polyakov 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/. # ==================================================================== # October 2005. # # Montgomery multiplication routine for x86_64. While it gives modest # 9% improvement of rsa4096 sign on Opteron, rsa512 sign runs more # than twice, >2x, as fast. Most common rsa1024 sign is improved by # respectful 50%. It remains to be seen if loop unrolling and # dedicated squaring routine can provide further improvement... $flavour = shift; $output = shift; if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } $win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/); $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; ( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or ( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or die "can't locate x86_64-xlate.pl"; open STDOUT,"| $^X $xlate $flavour $output"; # int bn_mul_mont( $rp="%rdi"; # BN_ULONG *rp, $ap="%rsi"; # const BN_ULONG *ap, $bp="%rdx"; # const BN_ULONG *bp, $np="%rcx"; # const BN_ULONG *np, $n0="%r8"; # const BN_ULONG *n0, $num="%r9"; # int num); $lo0="%r10"; $hi0="%r11"; $bp="%r12"; # reassign $bp $hi1="%r13"; $i="%r14"; $j="%r15"; $m0="%rbx"; $m1="%rbp"; $code=<<___; .text .globl bn_mul_mont .type bn_mul_mont,\@function,6 .align 16 bn_mul_mont: push %rbx push %rbp push %r12 push %r13 push %r14 push %r15 mov ${num}d,${num}d lea 2($num),%r10 mov %rsp,%r11 neg %r10 lea (%rsp,%r10,8),%rsp # tp=alloca(8*(num+2)) and \$-1024,%rsp # minimize TLB usage mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp .Lprologue: mov %rdx,$bp # $bp reassigned, remember? mov ($n0),$n0 # pull n0[0] value xor $i,$i # i=0 xor $j,$j # j=0 mov ($bp),$m0 # m0=bp[0] mov ($ap),%rax mulq $m0 # ap[0]*bp[0] mov %rax,$lo0 mov %rdx,$hi0 imulq $n0,%rax # "tp[0]"*n0 mov %rax,$m1 mulq ($np) # np[0]*m1 add $lo0,%rax # discarded adc \$0,%rdx mov %rdx,$hi1 lea 1($j),$j # j++ .L1st: mov ($ap,$j,8),%rax mulq $m0 # ap[j]*bp[0] add $hi0,%rax adc \$0,%rdx mov %rax,$lo0 mov ($np,$j,8),%rax mov %rdx,$hi0 mulq $m1 # np[j]*m1 add $hi1,%rax lea 1($j),$j # j++ adc \$0,%rdx add $lo0,%rax # np[j]*m1+ap[j]*bp[0] adc \$0,%rdx mov %rax,-16(%rsp,$j,8) # tp[j-1] cmp $num,$j mov %rdx,$hi1 jl .L1st xor %rdx,%rdx add $hi0,$hi1 adc \$0,%rdx mov $hi1,-8(%rsp,$num,8) mov %rdx,(%rsp,$num,8) # store upmost overflow bit lea 1($i),$i # i++ .align 4 .Louter: xor $j,$j # j=0 mov ($bp,$i,8),$m0 # m0=bp[i] mov ($ap),%rax # ap[0] mulq $m0 # ap[0]*bp[i] add (%rsp),%rax # ap[0]*bp[i]+tp[0] adc \$0,%rdx mov %rax,$lo0 mov %rdx,$hi0 imulq $n0,%rax # tp[0]*n0 mov %rax,$m1 mulq ($np,$j,8) # np[0]*m1 add $lo0,%rax # discarded mov 8(%rsp),$lo0 # tp[1] adc \$0,%rdx mov %rdx,$hi1 lea 1($j),$j # j++ .align 4 .Linner: mov ($ap,$j,8),%rax mulq $m0 # ap[j]*bp[i] add $hi0,%rax adc \$0,%rdx add %rax,$lo0 # ap[j]*bp[i]+tp[j] mov ($np,$j,8),%rax adc \$0,%rdx mov %rdx,$hi0 mulq $m1 # np[j]*m1 add $hi1,%rax lea 1($j),$j # j++ adc \$0,%rdx add $lo0,%rax # np[j]*m1+ap[j]*bp[i]+tp[j] adc \$0,%rdx mov (%rsp,$j,8),$lo0 cmp $num,$j mov %rax,-16(%rsp,$j,8) # tp[j-1] mov %rdx,$hi1 jl .Linner xor %rdx,%rdx add $hi0,$hi1 adc \$0,%rdx add $lo0,$hi1 # pull upmost overflow bit adc \$0,%rdx mov $hi1,-8(%rsp,$num,8) mov %rdx,(%rsp,$num,8) # store upmost overflow bit lea 1($i),$i # i++ cmp $num,$i jl .Louter lea (%rsp),$ap # borrow ap for tp lea -1($num),$j # j=num-1 mov ($ap),%rax # tp[0] xor $i,$i # i=0 and clear CF! jmp .Lsub .align 16 .Lsub: sbb ($np,$i,8),%rax mov %rax,($rp,$i,8) # rp[i]=tp[i]-np[i] dec $j # doesn't affect CF! mov 8($ap,$i,8),%rax # tp[i+1] lea 1($i),$i # i++ jge .Lsub sbb \$0,%rax # handle upmost overflow bit and %rax,$ap not %rax mov $rp,$np and %rax,$np lea -1($num),$j or $np,$ap # ap=borrow?tp:rp .align 16 .Lcopy: # copy or in-place refresh mov ($ap,$j,8),%rax mov %rax,($rp,$j,8) # rp[i]=tp[i] mov $i,(%rsp,$j,8) # zap temporary vector dec $j jge .Lcopy mov 8(%rsp,$num,8),%rsi # restore %rsp mov \$1,%rax mov (%rsi),%r15 mov 8(%rsi),%r14 mov 16(%rsi),%r13 mov 24(%rsi),%r12 mov 32(%rsi),%rbp mov 40(%rsi),%rbx lea 48(%rsi),%rsp .Lepilogue: ret .size bn_mul_mont,.-bn_mul_mont .asciz "Montgomery Multiplication for x86_64, CRYPTOGAMS by " .align 16 ___ # EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame, # CONTEXT *context,DISPATCHER_CONTEXT *disp) if ($win64) { $rec="%rcx"; $frame="%rdx"; $context="%r8"; $disp="%r9"; $code.=<<___; .extern __imp_RtlVirtualUnwind .type se_handler,\@abi-omnipotent .align 16 se_handler: push %rsi push %rdi push %rbx push %rbp push %r12 push %r13 push %r14 push %r15 pushfq sub \$64,%rsp mov 120($context),%rax # pull context->Rax mov 248($context),%rbx # pull context->Rip lea .Lprologue(%rip),%r10 cmp %r10,%rbx # context->Rip<.Lprologue jb .Lin_prologue mov 152($context),%rax # pull context->Rsp lea .Lepilogue(%rip),%r10 cmp %r10,%rbx # context->Rip>=.Lepilogue jae .Lin_prologue mov 192($context),%r10 # pull $num mov 8(%rax,%r10,8),%rax # pull saved stack pointer lea 48(%rax),%rax mov -8(%rax),%rbx mov -16(%rax),%rbp mov -24(%rax),%r12 mov -32(%rax),%r13 mov -40(%rax),%r14 mov -48(%rax),%r15 mov %rbx,144($context) # restore context->Rbx mov %rbp,160($context) # restore context->Rbp mov %r12,216($context) # restore context->R12 mov %r13,224($context) # restore context->R13 mov %r14,232($context) # restore context->R14 mov %r15,240($context) # restore context->R15 .Lin_prologue: mov 8(%rax),%rdi mov 16(%rax),%rsi mov %rax,152($context) # restore context->Rsp mov %rsi,168($context) # restore context->Rsi mov %rdi,176($context) # restore context->Rdi mov 40($disp),%rdi # disp->ContextRecord mov $context,%rsi # context mov \$154,%ecx # sizeof(CONTEXT) .long 0xa548f3fc # cld; rep movsq mov $disp,%rsi xor %rcx,%rcx # arg1, UNW_FLAG_NHANDLER mov 8(%rsi),%rdx # arg2, disp->ImageBase mov 0(%rsi),%r8 # arg3, disp->ControlPc mov 16(%rsi),%r9 # arg4, disp->FunctionEntry mov 40(%rsi),%r10 # disp->ContextRecord lea 56(%rsi),%r11 # &disp->HandlerData lea 24(%rsi),%r12 # &disp->EstablisherFrame mov %r10,32(%rsp) # arg5 mov %r11,40(%rsp) # arg6 mov %r12,48(%rsp) # arg7 mov %rcx,56(%rsp) # arg8, (NULL) call *__imp_RtlVirtualUnwind(%rip) mov \$1,%eax # ExceptionContinueSearch add \$64,%rsp popfq pop %r15 pop %r14 pop %r13 pop %r12 pop %rbp pop %rbx pop %rdi pop %rsi ret .size se_handler,.-se_handler .section .pdata .align 4 .rva .LSEH_begin_bn_mul_mont .rva .LSEH_end_bn_mul_mont .rva .LSEH_info_bn_mul_mont .section .xdata .align 8 .LSEH_info_bn_mul_mont: .byte 9,0,0,0 .rva se_handler ___ } print $code; close STDOUT;