#!/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/. # ==================================================================== # August 2011. # # Companion to x86_64-mont.pl that optimizes cache-timing attack # countermeasures. The subroutines are produced by replacing bp[i] # references in their x86_64-mont.pl counterparts with cache-neutral # references to powers table computed in BN_mod_exp_mont_consttime. # In addition subroutine that scatters elements of the powers table # is implemented, so that scatter-/gathering can be tuned without # bn_exp.c modifications. $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 $xlate) or die "can't locate x86_64-xlate.pl"; open OUT,"| \"$^X\" $xlate $flavour $output"; *STDOUT=*OUT; # int bn_mul_mont_gather5( $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, # int idx); # 0 to 2^5-1, "index" in $bp holding # pre-computed powers of a', interlaced # in such manner that b[0] is $bp[idx], # b[1] is [2^5+idx], etc. $lo0="%r10"; $hi0="%r11"; $hi1="%r13"; $i="%r14"; $j="%r15"; $m0="%rbx"; $m1="%rbp"; $code=<<___; .text .globl bn_mul_mont_gather5 .type bn_mul_mont_gather5,\@function,6 .align 64 bn_mul_mont_gather5: test \$3,${num}d jnz .Lmul_enter cmp \$8,${num}d jb .Lmul_enter jmp .Lmul4x_enter .align 16 .Lmul_enter: mov ${num}d,${num}d mov `($win64?56:8)`(%rsp),%r10d # load 7th argument push %rbx push %rbp push %r12 push %r13 push %r14 push %r15 ___ $code.=<<___ if ($win64); lea -0x28(%rsp),%rsp movaps %xmm6,(%rsp) movaps %xmm7,0x10(%rsp) .Lmul_alloca: ___ $code.=<<___; mov %rsp,%rax lea 2($num),%r11 neg %r11 lea (%rsp,%r11,8),%rsp # tp=alloca(8*(num+2)) and \$-1024,%rsp # minimize TLB usage mov %rax,8(%rsp,$num,8) # tp[num+1]=%rsp .Lmul_body: mov $bp,%r12 # reassign $bp ___ $bp="%r12"; $STRIDE=2**5*8; # 5 is "window size" $N=$STRIDE/4; # should match cache line size $code.=<<___; mov %r10,%r11 shr \$`log($N/8)/log(2)`,%r10 and \$`$N/8-1`,%r11 not %r10 lea .Lmagic_masks(%rip),%rax and \$`2**5/($N/8)-1`,%r10 # 5 is "window size" lea 96($bp,%r11,8),$bp # pointer within 1st cache line movq 0(%rax,%r10,8),%xmm4 # set of masks denoting which movq 8(%rax,%r10,8),%xmm5 # cache line contains element movq 16(%rax,%r10,8),%xmm6 # denoted by 7th argument movq 24(%rax,%r10,8),%xmm7 movq `0*$STRIDE/4-96`($bp),%xmm0 movq `1*$STRIDE/4-96`($bp),%xmm1 pand %xmm4,%xmm0 movq `2*$STRIDE/4-96`($bp),%xmm2 pand %xmm5,%xmm1 movq `3*$STRIDE/4-96`($bp),%xmm3 pand %xmm6,%xmm2 por %xmm1,%xmm0 pand %xmm7,%xmm3 por %xmm2,%xmm0 lea $STRIDE($bp),$bp por %xmm3,%xmm0 movq %xmm0,$m0 # m0=bp[0] mov ($n0),$n0 # pull n0[0] value mov ($ap),%rax xor $i,$i # i=0 xor $j,$j # j=0 movq `0*$STRIDE/4-96`($bp),%xmm0 movq `1*$STRIDE/4-96`($bp),%xmm1 pand %xmm4,%xmm0 movq `2*$STRIDE/4-96`($bp),%xmm2 pand %xmm5,%xmm1 mov $n0,$m1 mulq $m0 # ap[0]*bp[0] mov %rax,$lo0 mov ($np),%rax movq `3*$STRIDE/4-96`($bp),%xmm3 pand %xmm6,%xmm2 por %xmm1,%xmm0 pand %xmm7,%xmm3 imulq $lo0,$m1 # "tp[0]"*n0 mov %rdx,$hi0 por %xmm2,%xmm0 lea $STRIDE($bp),$bp por %xmm3,%xmm0 mulq $m1 # np[0]*m1 add %rax,$lo0 # discarded mov 8($ap),%rax adc \$0,%rdx mov %rdx,$hi1 lea 1($j),$j # j++ jmp .L1st_enter .align 16 .L1st: add %rax,$hi1 mov ($ap,$j,8),%rax adc \$0,%rdx add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0] mov $lo0,$hi0 adc \$0,%rdx mov $hi1,-16(%rsp,$j,8) # tp[j-1] mov %rdx,$hi1 .L1st_enter: mulq $m0 # ap[j]*bp[0] add %rax,$hi0 mov ($np,$j,8),%rax adc \$0,%rdx lea 1($j),$j # j++ mov %rdx,$lo0 mulq $m1 # np[j]*m1 cmp $num,$j jne .L1st movq %xmm0,$m0 # bp[1] add %rax,$hi1 mov ($ap),%rax # ap[0] adc \$0,%rdx add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0] adc \$0,%rdx mov $hi1,-16(%rsp,$j,8) # tp[j-1] mov %rdx,$hi1 mov $lo0,$hi0 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++ jmp .Louter .align 16 .Louter: xor $j,$j # j=0 mov $n0,$m1 mov (%rsp),$lo0 movq `0*$STRIDE/4-96`($bp),%xmm0 movq `1*$STRIDE/4-96`($bp),%xmm1 pand %xmm4,%xmm0 movq `2*$STRIDE/4-96`($bp),%xmm2 pand %xmm5,%xmm1 mulq $m0 # ap[0]*bp[i] add %rax,$lo0 # ap[0]*bp[i]+tp[0] mov ($np),%rax adc \$0,%rdx movq `3*$STRIDE/4-96`($bp),%xmm3 pand %xmm6,%xmm2 por %xmm1,%xmm0 pand %xmm7,%xmm3 imulq $lo0,$m1 # tp[0]*n0 mov %rdx,$hi0 por %xmm2,%xmm0 lea $STRIDE($bp),$bp por %xmm3,%xmm0 mulq $m1 # np[0]*m1 add %rax,$lo0 # discarded mov 8($ap),%rax adc \$0,%rdx mov 8(%rsp),$lo0 # tp[1] mov %rdx,$hi1 lea 1($j),$j # j++ jmp .Linner_enter .align 16 .Linner: add %rax,$hi1 mov ($ap,$j,8),%rax adc \$0,%rdx add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j] mov (%rsp,$j,8),$lo0 adc \$0,%rdx mov $hi1,-16(%rsp,$j,8) # tp[j-1] mov %rdx,$hi1 .Linner_enter: mulq $m0 # ap[j]*bp[i] add %rax,$hi0 mov ($np,$j,8),%rax adc \$0,%rdx add $hi0,$lo0 # ap[j]*bp[i]+tp[j] mov %rdx,$hi0 adc \$0,$hi0 lea 1($j),$j # j++ mulq $m1 # np[j]*m1 cmp $num,$j jne .Linner movq %xmm0,$m0 # bp[i+1] add %rax,$hi1 mov ($ap),%rax # ap[0] adc \$0,%rdx add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j] mov (%rsp,$j,8),$lo0 adc \$0,%rdx mov $hi1,-16(%rsp,$j,8) # tp[j-1] mov %rdx,$hi1 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 xor $i,$i # i=0 and clear CF! mov (%rsp),%rax # tp[0] lea (%rsp),$ap # borrow ap for tp mov $num,$j # j=num jmp .Lsub .align 16 .Lsub: sbb ($np,$i,8),%rax mov %rax,($rp,$i,8) # rp[i]=tp[i]-np[i] mov 8($ap,$i,8),%rax # tp[i+1] lea 1($i),$i # i++ dec $j # doesnn't affect CF! jnz .Lsub sbb \$0,%rax # handle upmost overflow bit xor $i,$i and %rax,$ap not %rax mov $rp,$np and %rax,$np mov $num,$j # j=num or $np,$ap # ap=borrow?tp:rp .align 16 .Lcopy: # copy or in-place refresh mov ($ap,$i,8),%rax mov $i,(%rsp,$i,8) # zap temporary vector mov %rax,($rp,$i,8) # rp[i]=tp[i] lea 1($i),$i sub \$1,$j jnz .Lcopy mov 8(%rsp,$num,8),%rsi # restore %rsp mov \$1,%rax ___ $code.=<<___ if ($win64); movaps (%rsi),%xmm6 movaps 0x10(%rsi),%xmm7 lea 0x28(%rsi),%rsi ___ $code.=<<___; 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 .Lmul_epilogue: ret .size bn_mul_mont_gather5,.-bn_mul_mont_gather5 ___ {{{ my @A=("%r10","%r11"); my @N=("%r13","%rdi"); $code.=<<___; .type bn_mul4x_mont_gather5,\@function,6 .align 16 bn_mul4x_mont_gather5: .Lmul4x_enter: mov ${num}d,${num}d mov `($win64?56:8)`(%rsp),%r10d # load 7th argument push %rbx push %rbp push %r12 push %r13 push %r14 push %r15 ___ $code.=<<___ if ($win64); lea -0x28(%rsp),%rsp movaps %xmm6,(%rsp) movaps %xmm7,0x10(%rsp) .Lmul4x_alloca: ___ $code.=<<___; mov %rsp,%rax lea 4($num),%r11 neg %r11 lea (%rsp,%r11,8),%rsp # tp=alloca(8*(num+4)) and \$-1024,%rsp # minimize TLB usage mov %rax,8(%rsp,$num,8) # tp[num+1]=%rsp .Lmul4x_body: mov $rp,16(%rsp,$num,8) # tp[num+2]=$rp mov %rdx,%r12 # reassign $bp ___ $bp="%r12"; $STRIDE=2**5*8; # 5 is "window size" $N=$STRIDE/4; # should match cache line size $code.=<<___; mov %r10,%r11 shr \$`log($N/8)/log(2)`,%r10 and \$`$N/8-1`,%r11 not %r10 lea .Lmagic_masks(%rip),%rax and \$`2**5/($N/8)-1`,%r10 # 5 is "window size" lea 96($bp,%r11,8),$bp # pointer within 1st cache line movq 0(%rax,%r10,8),%xmm4 # set of masks denoting which movq 8(%rax,%r10,8),%xmm5 # cache line contains element movq 16(%rax,%r10,8),%xmm6 # denoted by 7th argument movq 24(%rax,%r10,8),%xmm7 movq `0*$STRIDE/4-96`($bp),%xmm0 movq `1*$STRIDE/4-96`($bp),%xmm1 pand %xmm4,%xmm0 movq `2*$STRIDE/4-96`($bp),%xmm2 pand %xmm5,%xmm1 movq `3*$STRIDE/4-96`($bp),%xmm3 pand %xmm6,%xmm2 por %xmm1,%xmm0 pand %xmm7,%xmm3 por %xmm2,%xmm0 lea $STRIDE($bp),$bp por %xmm3,%xmm0 movq %xmm0,$m0 # m0=bp[0] mov ($n0),$n0 # pull n0[0] value mov ($ap),%rax xor $i,$i # i=0 xor $j,$j # j=0 movq `0*$STRIDE/4-96`($bp),%xmm0 movq `1*$STRIDE/4-96`($bp),%xmm1 pand %xmm4,%xmm0 movq `2*$STRIDE/4-96`($bp),%xmm2 pand %xmm5,%xmm1 mov $n0,$m1 mulq $m0 # ap[0]*bp[0] mov %rax,$A[0] mov ($np),%rax movq `3*$STRIDE/4-96`($bp),%xmm3 pand %xmm6,%xmm2 por %xmm1,%xmm0 pand %xmm7,%xmm3 imulq $A[0],$m1 # "tp[0]"*n0 mov %rdx,$A[1] por %xmm2,%xmm0 lea $STRIDE($bp),$bp por %xmm3,%xmm0 mulq $m1 # np[0]*m1 add %rax,$A[0] # discarded mov 8($ap),%rax adc \$0,%rdx mov %rdx,$N[1] mulq $m0 add %rax,$A[1] mov 8($np),%rax adc \$0,%rdx mov %rdx,$A[0] mulq $m1 add %rax,$N[1] mov 16($ap),%rax adc \$0,%rdx add $A[1],$N[1] lea 4($j),$j # j++ adc \$0,%rdx mov $N[1],(%rsp) mov %rdx,$N[0] jmp .L1st4x .align 16 .L1st4x: mulq $m0 # ap[j]*bp[0] add %rax,$A[0] mov -16($np,$j,8),%rax adc \$0,%rdx mov %rdx,$A[1] mulq $m1 # np[j]*m1 add %rax,$N[0] mov -8($ap,$j,8),%rax adc \$0,%rdx add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] adc \$0,%rdx mov $N[0],-24(%rsp,$j,8) # tp[j-1] mov %rdx,$N[1] mulq $m0 # ap[j]*bp[0] add %rax,$A[1] mov -8($np,$j,8),%rax adc \$0,%rdx mov %rdx,$A[0] mulq $m1 # np[j]*m1 add %rax,$N[1] mov ($ap,$j,8),%rax adc \$0,%rdx add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] adc \$0,%rdx mov $N[1],-16(%rsp,$j,8) # tp[j-1] mov %rdx,$N[0] mulq $m0 # ap[j]*bp[0] add %rax,$A[0] mov ($np,$j,8),%rax adc \$0,%rdx mov %rdx,$A[1] mulq $m1 # np[j]*m1 add %rax,$N[0] mov 8($ap,$j,8),%rax adc \$0,%rdx add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] adc \$0,%rdx mov $N[0],-8(%rsp,$j,8) # tp[j-1] mov %rdx,$N[1] mulq $m0 # ap[j]*bp[0] add %rax,$A[1] mov 8($np,$j,8),%rax adc \$0,%rdx lea 4($j),$j # j++ mov %rdx,$A[0] mulq $m1 # np[j]*m1 add %rax,$N[1] mov -16($ap,$j,8),%rax adc \$0,%rdx add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] adc \$0,%rdx mov $N[1],-32(%rsp,$j,8) # tp[j-1] mov %rdx,$N[0] cmp $num,$j jl .L1st4x mulq $m0 # ap[j]*bp[0] add %rax,$A[0] mov -16($np,$j,8),%rax adc \$0,%rdx mov %rdx,$A[1] mulq $m1 # np[j]*m1 add %rax,$N[0] mov -8($ap,$j,8),%rax adc \$0,%rdx add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0] adc \$0,%rdx mov $N[0],-24(%rsp,$j,8) # tp[j-1] mov %rdx,$N[1] mulq $m0 # ap[j]*bp[0] add %rax,$A[1] mov -8($np,$j,8),%rax adc \$0,%rdx mov %rdx,$A[0] mulq $m1 # np[j]*m1 add %rax,$N[1] mov ($ap),%rax # ap[0] adc \$0,%rdx add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0] adc \$0,%rdx mov $N[1],-16(%rsp,$j,8) # tp[j-1] mov %rdx,$N[0] movq %xmm0,$m0 # bp[1] xor $N[1],$N[1] add $A[0],$N[0] adc \$0,$N[1] mov $N[0],-8(%rsp,$j,8) mov $N[1],(%rsp,$j,8) # store upmost overflow bit lea 1($i),$i # i++ .align 4 .Louter4x: xor $j,$j # j=0 movq `0*$STRIDE/4-96`($bp),%xmm0 movq `1*$STRIDE/4-96`($bp),%xmm1 pand %xmm4,%xmm0 movq `2*$STRIDE/4-96`($bp),%xmm2 pand %xmm5,%xmm1 mov (%rsp),$A[0] mov $n0,$m1 mulq $m0 # ap[0]*bp[i] add %rax,$A[0] # ap[0]*bp[i]+tp[0] mov ($np),%rax adc \$0,%rdx movq `3*$STRIDE/4-96`($bp),%xmm3 pand %xmm6,%xmm2 por %xmm1,%xmm0 pand %xmm7,%xmm3 imulq $A[0],$m1 # tp[0]*n0 mov %rdx,$A[1] por %xmm2,%xmm0 lea $STRIDE($bp),$bp por %xmm3,%xmm0 mulq $m1 # np[0]*m1 add %rax,$A[0] # "$N[0]", discarded mov 8($ap),%rax adc \$0,%rdx mov %rdx,$N[1] mulq $m0 # ap[j]*bp[i] add %rax,$A[1] mov 8($np),%rax adc \$0,%rdx add 8(%rsp),$A[1] # +tp[1] adc \$0,%rdx mov %rdx,$A[0] mulq $m1 # np[j]*m1 add %rax,$N[1] mov 16($ap),%rax adc \$0,%rdx add $A[1],$N[1] # np[j]*m1+ap[j]*bp[i]+tp[j] lea 4($j),$j # j+=2 adc \$0,%rdx mov %rdx,$N[0] jmp .Linner4x .align 16 .Linner4x: mulq $m0 # ap[j]*bp[i] add %rax,$A[0] mov -16($np,$j,8),%rax adc \$0,%rdx add -16(%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j] adc \$0,%rdx mov %rdx,$A[1] mulq $m1 # np[j]*m1 add %rax,$N[0] mov -8($ap,$j,8),%rax adc \$0,%rdx add $A[0],$N[0] adc \$0,%rdx mov $N[1],-32(%rsp,$j,8) # tp[j-1] mov %rdx,$N[1] mulq $m0 # ap[j]*bp[i] add %rax,$A[1] mov -8($np,$j,8),%rax adc \$0,%rdx add -8(%rsp,$j,8),$A[1] adc \$0,%rdx mov %rdx,$A[0] mulq $m1 # np[j]*m1 add %rax,$N[1] mov ($ap,$j,8),%rax adc \$0,%rdx add $A[1],$N[1] adc \$0,%rdx mov $N[0],-24(%rsp,$j,8) # tp[j-1] mov %rdx,$N[0] mulq $m0 # ap[j]*bp[i] add %rax,$A[0] mov ($np,$j,8),%rax adc \$0,%rdx add (%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j] adc \$0,%rdx mov %rdx,$A[1] mulq $m1 # np[j]*m1 add %rax,$N[0] mov 8($ap,$j,8),%rax adc \$0,%rdx add $A[0],$N[0] adc \$0,%rdx mov $N[1],-16(%rsp,$j,8) # tp[j-1] mov %rdx,$N[1] mulq $m0 # ap[j]*bp[i] add %rax,$A[1] mov 8($np,$j,8),%rax adc \$0,%rdx add 8(%rsp,$j,8),$A[1] adc \$0,%rdx lea 4($j),$j # j++ mov %rdx,$A[0] mulq $m1 # np[j]*m1 add %rax,$N[1] mov -16($ap,$j,8),%rax adc \$0,%rdx add $A[1],$N[1] adc \$0,%rdx mov $N[0],-40(%rsp,$j,8) # tp[j-1] mov %rdx,$N[0] cmp $num,$j jl .Linner4x mulq $m0 # ap[j]*bp[i] add %rax,$A[0] mov -16($np,$j,8),%rax adc \$0,%rdx add -16(%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j] adc \$0,%rdx mov %rdx,$A[1] mulq $m1 # np[j]*m1 add %rax,$N[0] mov -8($ap,$j,8),%rax adc \$0,%rdx add $A[0],$N[0] adc \$0,%rdx mov $N[1],-32(%rsp,$j,8) # tp[j-1] mov %rdx,$N[1] mulq $m0 # ap[j]*bp[i] add %rax,$A[1] mov -8($np,$j,8),%rax adc \$0,%rdx add -8(%rsp,$j,8),$A[1] adc \$0,%rdx lea 1($i),$i # i++ mov %rdx,$A[0] mulq $m1 # np[j]*m1 add %rax,$N[1] mov ($ap),%rax # ap[0] adc \$0,%rdx add $A[1],$N[1] adc \$0,%rdx mov $N[0],-24(%rsp,$j,8) # tp[j-1] mov %rdx,$N[0] movq %xmm0,$m0 # bp[i+1] mov $N[1],-16(%rsp,$j,8) # tp[j-1] xor $N[1],$N[1] add $A[0],$N[0] adc \$0,$N[1] add (%rsp,$num,8),$N[0] # pull upmost overflow bit adc \$0,$N[1] mov $N[0],-8(%rsp,$j,8) mov $N[1],(%rsp,$j,8) # store upmost overflow bit cmp $num,$i jl .Louter4x ___ { my @ri=("%rax","%rdx",$m0,$m1); $code.=<<___; mov 16(%rsp,$num,8),$rp # restore $rp mov 0(%rsp),@ri[0] # tp[0] pxor %xmm0,%xmm0 mov 8(%rsp),@ri[1] # tp[1] shr \$2,$num # num/=4 lea (%rsp),$ap # borrow ap for tp xor $i,$i # i=0 and clear CF! sub 0($np),@ri[0] mov 16($ap),@ri[2] # tp[2] mov 24($ap),@ri[3] # tp[3] sbb 8($np),@ri[1] lea -1($num),$j # j=num/4-1 jmp .Lsub4x .align 16 .Lsub4x: mov @ri[0],0($rp,$i,8) # rp[i]=tp[i]-np[i] mov @ri[1],8($rp,$i,8) # rp[i]=tp[i]-np[i] sbb 16($np,$i,8),@ri[2] mov 32($ap,$i,8),@ri[0] # tp[i+1] mov 40($ap,$i,8),@ri[1] sbb 24($np,$i,8),@ri[3] mov @ri[2],16($rp,$i,8) # rp[i]=tp[i]-np[i] mov @ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i] sbb 32($np,$i,8),@ri[0] mov 48($ap,$i,8),@ri[2] mov 56($ap,$i,8),@ri[3] sbb 40($np,$i,8),@ri[1] lea 4($i),$i # i++ dec $j # doesnn't affect CF! jnz .Lsub4x mov @ri[0],0($rp,$i,8) # rp[i]=tp[i]-np[i] mov 32($ap,$i,8),@ri[0] # load overflow bit sbb 16($np,$i,8),@ri[2] mov @ri[1],8($rp,$i,8) # rp[i]=tp[i]-np[i] sbb 24($np,$i,8),@ri[3] mov @ri[2],16($rp,$i,8) # rp[i]=tp[i]-np[i] sbb \$0,@ri[0] # handle upmost overflow bit mov @ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i] xor $i,$i # i=0 and @ri[0],$ap not @ri[0] mov $rp,$np and @ri[0],$np lea -1($num),$j or $np,$ap # ap=borrow?tp:rp movdqu ($ap),%xmm1 movdqa %xmm0,(%rsp) movdqu %xmm1,($rp) jmp .Lcopy4x .align 16 .Lcopy4x: # copy or in-place refresh movdqu 16($ap,$i),%xmm2 movdqu 32($ap,$i),%xmm1 movdqa %xmm0,16(%rsp,$i) movdqu %xmm2,16($rp,$i) movdqa %xmm0,32(%rsp,$i) movdqu %xmm1,32($rp,$i) lea 32($i),$i dec $j jnz .Lcopy4x shl \$2,$num movdqu 16($ap,$i),%xmm2 movdqa %xmm0,16(%rsp,$i) movdqu %xmm2,16($rp,$i) ___ } $code.=<<___; mov 8(%rsp,$num,8),%rsi # restore %rsp mov \$1,%rax ___ $code.=<<___ if ($win64); movaps (%rsi),%xmm6 movaps 0x10(%rsi),%xmm7 lea 0x28(%rsi),%rsi ___ $code.=<<___; mov (%rsi),%r15 mov 8(%rsi),%r14 mov 16(%rsi),%r13 mov 24(%rsi),%r12 mov 32(%rsi),%rbp mov 40(%rsi),%rbx lea 48(%rsi),%rsp .Lmul4x_epilogue: ret .size bn_mul4x_mont_gather5,.-bn_mul4x_mont_gather5 ___ }}} { my ($inp,$num,$tbl,$idx)=$win64?("%rcx","%rdx","%r8", "%r9") : # Win64 order ("%rdi","%rsi","%rdx","%rcx"); # Unix order my $out=$inp; my $STRIDE=2**5*8; my $N=$STRIDE/4; $code.=<<___; .globl bn_scatter5 .type bn_scatter5,\@abi-omnipotent .align 16 bn_scatter5: cmp \$0, $num jz .Lscatter_epilogue lea ($tbl,$idx,8),$tbl .Lscatter: mov ($inp),%rax lea 8($inp),$inp mov %rax,($tbl) lea 32*8($tbl),$tbl sub \$1,$num jnz .Lscatter .Lscatter_epilogue: ret .size bn_scatter5,.-bn_scatter5 .globl bn_gather5 .type bn_gather5,\@abi-omnipotent .align 16 bn_gather5: ___ $code.=<<___ if ($win64); .LSEH_begin_bn_gather5: # I can't trust assembler to use specific encoding:-( .byte 0x48,0x83,0xec,0x28 #sub \$0x28,%rsp .byte 0x0f,0x29,0x34,0x24 #movaps %xmm6,(%rsp) .byte 0x0f,0x29,0x7c,0x24,0x10 #movdqa %xmm7,0x10(%rsp) ___ $code.=<<___; mov $idx,%r11 shr \$`log($N/8)/log(2)`,$idx and \$`$N/8-1`,%r11 not $idx lea .Lmagic_masks(%rip),%rax and \$`2**5/($N/8)-1`,$idx # 5 is "window size" lea 96($tbl,%r11,8),$tbl # pointer within 1st cache line movq 0(%rax,$idx,8),%xmm4 # set of masks denoting which movq 8(%rax,$idx,8),%xmm5 # cache line contains element movq 16(%rax,$idx,8),%xmm6 # denoted by 7th argument movq 24(%rax,$idx,8),%xmm7 jmp .Lgather .align 16 .Lgather: movq `0*$STRIDE/4-96`($tbl),%xmm0 movq `1*$STRIDE/4-96`($tbl),%xmm1 pand %xmm4,%xmm0 movq `2*$STRIDE/4-96`($tbl),%xmm2 pand %xmm5,%xmm1 movq `3*$STRIDE/4-96`($tbl),%xmm3 pand %xmm6,%xmm2 por %xmm1,%xmm0 pand %xmm7,%xmm3 por %xmm2,%xmm0 lea $STRIDE($tbl),$tbl por %xmm3,%xmm0 movq %xmm0,($out) # m0=bp[0] lea 8($out),$out sub \$1,$num jnz .Lgather ___ $code.=<<___ if ($win64); movaps (%rsp),%xmm6 movaps 0x10(%rsp),%xmm7 lea 0x28(%rsp),%rsp ___ $code.=<<___; ret .LSEH_end_bn_gather5: .size bn_gather5,.-bn_gather5 ___ } $code.=<<___; .align 64 .Lmagic_masks: .long 0,0, 0,0, 0,0, -1,-1 .long 0,0, 0,0, 0,0, 0,0 .asciz "Montgomery Multiplication with scatter/gather for x86_64, CRYPTOGAMS by <appro\@openssl.org>" ___ # EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame, # CONTEXT *context,DISPATCHER_CONTEXT *disp) if ($win64) { $rec="%rcx"; $frame="%rdx"; $context="%r8"; $disp="%r9"; $code.=<<___; .extern __imp_RtlVirtualUnwind .type mul_handler,\@abi-omnipotent .align 16 mul_handler: push %rsi push %rdi push %rbx push %rbp push %r12 push %r13 push %r14 push %r15 pushfq sub \$64,%rsp mov 120($context),%rax # pull context->Rax mov 248($context),%rbx # pull context->Rip mov 8($disp),%rsi # disp->ImageBase mov 56($disp),%r11 # disp->HandlerData mov 0(%r11),%r10d # HandlerData[0] lea (%rsi,%r10),%r10 # end of prologue label cmp %r10,%rbx # context->Rip<end of prologue label jb .Lcommon_seh_tail lea `40+48`(%rax),%rax mov 4(%r11),%r10d # HandlerData[1] lea (%rsi,%r10),%r10 # end of alloca label cmp %r10,%rbx # context->Rip<end of alloca label jb .Lcommon_seh_tail mov 152($context),%rax # pull context->Rsp mov 8(%r11),%r10d # HandlerData[2] lea (%rsi,%r10),%r10 # epilogue label cmp %r10,%rbx # context->Rip>=epilogue label jae .Lcommon_seh_tail mov 192($context),%r10 # pull $num mov 8(%rax,%r10,8),%rax # pull saved stack pointer movaps (%rax),%xmm0 movaps 16(%rax),%xmm1 lea `40+48`(%rax),%rax mov -8(%rax),%rbx mov -16(%rax),%rbp mov -24(%rax),%r12 mov -32(%rax),%r13 mov -40(%rax),%r14 mov -48(%rax),%r15 mov %rbx,144($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($context) # restore context->R15 movups %xmm0,512($context) # restore context->Xmm6 movups %xmm1,528($context) # restore context->Xmm7 .Lcommon_seh_tail: mov 8(%rax),%rdi mov 16(%rax),%rsi mov %rax,152($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 mul_handler,.-mul_handler .section .pdata .align 4 .rva .LSEH_begin_bn_mul_mont_gather5 .rva .LSEH_end_bn_mul_mont_gather5 .rva .LSEH_info_bn_mul_mont_gather5 .rva .LSEH_begin_bn_mul4x_mont_gather5 .rva .LSEH_end_bn_mul4x_mont_gather5 .rva .LSEH_info_bn_mul4x_mont_gather5 .rva .LSEH_begin_bn_gather5 .rva .LSEH_end_bn_gather5 .rva .LSEH_info_bn_gather5 .section .xdata .align 8 .LSEH_info_bn_mul_mont_gather5: .byte 9,0,0,0 .rva mul_handler .rva .Lmul_alloca,.Lmul_body,.Lmul_epilogue # HandlerData[] .align 8 .LSEH_info_bn_mul4x_mont_gather5: .byte 9,0,0,0 .rva mul_handler .rva .Lmul4x_alloca,.Lmul4x_body,.Lmul4x_epilogue # HandlerData[] .align 8 .LSEH_info_bn_gather5: .byte 0x01,0x0d,0x05,0x00 .byte 0x0d,0x78,0x01,0x00 #movaps 0x10(rsp),xmm7 .byte 0x08,0x68,0x00,0x00 #movaps (rsp),xmm6 .byte 0x04,0x42,0x00,0x00 #sub rsp,0x28 .align 8 ___ } $code =~ s/\`([^\`]*)\`/eval($1)/gem; print $code; close STDOUT;