X-Git-Url: https://git.openssl.org/?p=openssl.git;a=blobdiff_plain;f=crypto%2Fbn%2Fasm%2Fx86_64-mont.pl;h=8fb6c994e1efb5322bdc59cd2c1d665546fe4212;hp=22fe51b5e3e1ed089738139c1cc43853a20f5e03;hb=adc4f1fc25b2cac90076f1e1695b05b7aeeae501;hpb=6251989eb6168c1baada70c5b16c7742861d3d03;ds=sidebyside diff --git a/crypto/bn/asm/x86_64-mont.pl b/crypto/bn/asm/x86_64-mont.pl index 22fe51b5e3..8fb6c994e1 100755 --- a/crypto/bn/asm/x86_64-mont.pl +++ b/crypto/bn/asm/x86_64-mont.pl @@ -29,6 +29,16 @@ # to *initial* version of this module from 2005 is ~0%/30%/40%/45% # for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively. +# June 2013. +# +# Optimize reduction in squaring procedure and improve 1024+-bit RSA +# sign performance by 10-16% on Intel Sandy Bridge and later +# (virtually same on non-Intel processors). + +# August 2013. +# +# Add MULX/ADOX/ADCX code path. + $flavour = shift; $output = shift; if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } @@ -40,7 +50,28 @@ $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; ( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or die "can't locate x86_64-xlate.pl"; -open STDOUT,"| \"$^X\" $xlate $flavour $output"; +open OUT,"| \"$^X\" $xlate $flavour $output"; +*STDOUT=*OUT; + +if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1` + =~ /GNU assembler version ([2-9]\.[0-9]+)/) { + $addx = ($1>=2.23); +} + +if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) && + `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) { + $addx = ($1>=2.10); +} + +if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) && + `ml64 2>&1` =~ /Version ([0-9]+)\./) { + $addx = ($1>=12); +} + +if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9])\.([0-9]+)/) { + my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10 + $addx = ($ver>=3.03); +} # int bn_mul_mont( $rp="%rdi"; # BN_ULONG *rp, @@ -60,6 +91,8 @@ $m1="%rbp"; $code=<<___; .text +.extern OPENSSL_ia32cap_P + .globl bn_mul_mont .type bn_mul_mont,\@function,6 .align 16 @@ -68,9 +101,16 @@ bn_mul_mont: jnz .Lmul_enter cmp \$8,${num}d jb .Lmul_enter +___ +$code.=<<___ if ($addx); + mov OPENSSL_ia32cap_P+8(%rip),%r11d +___ +$code.=<<___; cmp $ap,$bp jne .Lmul4x_enter - jmp .Lsqr4x_enter + test \$7,${num}d + jz .Lsqr8x_enter + jmp .Lmul4x_enter .align 16 .Lmul_enter: @@ -90,6 +130,20 @@ bn_mul_mont: mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp .Lmul_body: + # Some OSes, *cough*-dows, insist on stack being "wired" to + # physical memory in strictly sequential manner, i.e. if stack + # allocation spans two pages, then reference to farmost one can + # be punishable by SEGV. But page walking can do good even on + # other OSes, because it guarantees that villain thread hits + # the guard page before it can make damage to innocent one... + sub %rsp,%r11 + and \$-4096,%r11 +.Lmul_page_walk: + mov (%rsp,%r11),%r10 + sub \$4096,%r11 + .byte 0x66,0x2e # predict non-taken + jnc .Lmul_page_walk + mov $bp,%r12 # reassign $bp ___ $bp="%r12"; @@ -226,7 +280,7 @@ $code.=<<___; lea 1($i),$i # i++ cmp $num,$i - jl .Louter + jb .Louter xor $i,$i # i=0 and clear CF! mov (%rsp),%rax # tp[0] @@ -279,6 +333,13 @@ $code.=<<___; .align 16 bn_mul4x_mont: .Lmul4x_enter: +___ +$code.=<<___ if ($addx); + and \$0x80100,%r11d + cmp \$0x80100,%r11d + je .Lmulx4x_enter +___ +$code.=<<___; push %rbx push %rbp push %r12 @@ -295,6 +356,14 @@ bn_mul4x_mont: mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp .Lmul4x_body: + sub %rsp,%r11 + and \$-4096,%r11 +.Lmul4x_page_walk: + mov (%rsp,%r11),%r10 + sub \$4096,%r11 + .byte 0x2e # predict non-taken + jnc .Lmul4x_page_walk + mov $rp,16(%rsp,$num,8) # tp[num+2]=$rp mov %rdx,%r12 # reassign $bp ___ @@ -400,7 +469,7 @@ $code.=<<___; mov $N[1],-32(%rsp,$j,8) # tp[j-1] mov %rdx,$N[0] cmp $num,$j - jl .L1st4x + jb .L1st4x mulq $m0 # ap[j]*bp[0] add %rax,$A[0] @@ -548,7 +617,7 @@ $code.=<<___; mov $N[1],-32(%rsp,$j,8) # tp[j-1] mov %rdx,$N[0] cmp $num,$j - jl .Linner4x + jb .Linner4x mulq $m0 # ap[j]*bp[i] add %rax,$A[0] @@ -594,7 +663,7 @@ $code.=<<___; mov $N[1],(%rsp,$j,8) # store upmost overflow bit cmp $num,$i - jl .Louter4x + jb .Louter4x ___ { my @ri=("%rax","%rdx",$m0,$m1); @@ -687,25 +756,30 @@ ___ }}} {{{ ###################################################################### -# void bn_sqr4x_mont( +# void bn_sqr8x_mont( my $rptr="%rdi"; # const BN_ULONG *rptr, my $aptr="%rsi"; # const BN_ULONG *aptr, my $bptr="%rdx"; # not used my $nptr="%rcx"; # const BN_ULONG *nptr, my $n0 ="%r8"; # const BN_ULONG *n0); -my $num ="%r9"; # int num, has to be divisible by 4 and - # not less than 8 +my $num ="%r9"; # int num, has to be divisible by 8 my ($i,$j,$tptr)=("%rbp","%rcx",$rptr); my @A0=("%r10","%r11"); my @A1=("%r12","%r13"); my ($a0,$a1,$ai)=("%r14","%r15","%rbx"); +$code.=<<___ if ($addx); +.extern bn_sqrx8x_internal # see x86_64-mont5 module +___ $code.=<<___; -.type bn_sqr4x_mont,\@function,6 -.align 16 -bn_sqr4x_mont: -.Lsqr4x_enter: +.extern bn_sqr8x_internal # see x86_64-mont5 module + +.type bn_sqr8x_mont,\@function,6 +.align 32 +bn_sqr8x_mont: +.Lsqr8x_enter: + mov %rsp,%rax push %rbx push %rbp push %r12 @@ -713,787 +787,500 @@ bn_sqr4x_mont: push %r14 push %r15 + mov ${num}d,%r10d shl \$3,${num}d # convert $num to bytes - xor %r10,%r10 - mov %rsp,%r11 # put aside %rsp - sub $num,%r10 # -$num - mov ($n0),$n0 # *n0 - lea -72(%rsp,%r10,2),%rsp # alloca(frame+2*$num) - and \$-1024,%rsp # minimize TLB usage - ############################################################## - # Stack layout - # - # +0 saved $num, used in reduction section - # +8 &t[2*$num], used in reduction section - # +32 saved $rptr - # +40 saved $nptr - # +48 saved *n0 - # +56 saved %rsp - # +64 t[2*$num] - # - mov $rptr,32(%rsp) # save $rptr - mov $nptr,40(%rsp) - mov $n0, 48(%rsp) - mov %r11, 56(%rsp) # save original %rsp -.Lsqr4x_body: + shl \$3+2,%r10 # 4*$num + neg $num + ############################################################## - # Squaring part: + # ensure that stack frame doesn't alias with $aptr modulo + # 4096. this is done to allow memory disambiguation logic + # do its job. # - # a) multiply-n-add everything but a[i]*a[i]; - # b) shift result of a) by 1 to the left and accumulate - # a[i]*a[i] products; - # - lea 32(%r10),$i # $i=-($num-32) - lea ($aptr,$num),$aptr # end of a[] buffer, ($aptr,$i)=&ap[2] - - mov $num,$j # $j=$num - - # comments apply to $num==8 case - mov -32($aptr,$i),$a0 # a[0] - lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num] - mov -24($aptr,$i),%rax # a[1] - lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"] - mov -16($aptr,$i),$ai # a[2] - mov %rax,$a1 - - mul $a0 # a[1]*a[0] - mov %rax,$A0[0] # a[1]*a[0] - mov $ai,%rax # a[2] - mov %rdx,$A0[1] - mov $A0[0],-24($tptr,$i) # t[1] - - xor $A0[0],$A0[0] - mul $a0 # a[2]*a[0] - add %rax,$A0[1] - mov $ai,%rax - adc %rdx,$A0[0] - mov $A0[1],-16($tptr,$i) # t[2] - - lea -16($i),$j # j=-16 - - - mov 8($aptr,$j),$ai # a[3] - mul $a1 # a[2]*a[1] - mov %rax,$A1[0] # a[2]*a[1]+t[3] - mov $ai,%rax - mov %rdx,$A1[1] - - xor $A0[1],$A0[1] - add $A1[0],$A0[0] - lea 16($j),$j - adc \$0,$A0[1] - mul $a0 # a[3]*a[0] - add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3] - mov $ai,%rax - adc %rdx,$A0[1] - mov $A0[0],-8($tptr,$j) # t[3] - jmp .Lsqr4x_1st - -.align 16 -.Lsqr4x_1st: - mov ($aptr,$j),$ai # a[4] - xor $A1[0],$A1[0] - mul $a1 # a[3]*a[1] - add %rax,$A1[1] # a[3]*a[1]+t[4] - mov $ai,%rax - adc %rdx,$A1[0] - - xor $A0[0],$A0[0] - add $A1[1],$A0[1] - adc \$0,$A0[0] - mul $a0 # a[4]*a[0] - add %rax,$A0[1] # a[4]*a[0]+a[3]*a[1]+t[4] - mov $ai,%rax # a[3] - adc %rdx,$A0[0] - mov $A0[1],($tptr,$j) # t[4] - - - mov 8($aptr,$j),$ai # a[5] - xor $A1[1],$A1[1] - mul $a1 # a[4]*a[3] - add %rax,$A1[0] # a[4]*a[3]+t[5] - mov $ai,%rax - adc %rdx,$A1[1] - - xor $A0[1],$A0[1] - add $A1[0],$A0[0] - adc \$0,$A0[1] - mul $a0 # a[5]*a[2] - add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5] - mov $ai,%rax - adc %rdx,$A0[1] - mov $A0[0],8($tptr,$j) # t[5] - - mov 16($aptr,$j),$ai # a[6] - xor $A1[0],$A1[0] - mul $a1 # a[5]*a[3] - add %rax,$A1[1] # a[5]*a[3]+t[6] - mov $ai,%rax - adc %rdx,$A1[0] - - xor $A0[0],$A0[0] - add $A1[1],$A0[1] - adc \$0,$A0[0] - mul $a0 # a[6]*a[2] - add %rax,$A0[1] # a[6]*a[2]+a[5]*a[3]+t[6] - mov $ai,%rax # a[3] - adc %rdx,$A0[0] - mov $A0[1],16($tptr,$j) # t[6] - - - mov 24($aptr,$j),$ai # a[7] - xor $A1[1],$A1[1] - mul $a1 # a[6]*a[5] - add %rax,$A1[0] # a[6]*a[5]+t[7] - mov $ai,%rax - adc %rdx,$A1[1] - - xor $A0[1],$A0[1] - add $A1[0],$A0[0] - lea 32($j),$j - adc \$0,$A0[1] - mul $a0 # a[7]*a[4] - add %rax,$A0[0] # a[7]*a[4]+a[6]*a[5]+t[6] - mov $ai,%rax - adc %rdx,$A0[1] - mov $A0[0],-8($tptr,$j) # t[7] - - cmp \$0,$j - jne .Lsqr4x_1st - - xor $A1[0],$A1[0] - add $A0[1],$A1[1] - adc \$0,$A1[0] - mul $a1 # a[7]*a[5] - add %rax,$A1[1] - adc %rdx,$A1[0] - - mov $A1[1],($tptr) # t[8] - lea 16($i),$i - mov $A1[0],8($tptr) # t[9] - jmp .Lsqr4x_outer - -.align 16 -.Lsqr4x_outer: # comments apply to $num==6 case - mov -32($aptr,$i),$a0 # a[0] - lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num] - mov -24($aptr,$i),%rax # a[1] - lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"] - mov -16($aptr,$i),$ai # a[2] - mov %rax,$a1 - - mov -24($tptr,$i),$A0[0] # t[1] - xor $A0[1],$A0[1] - mul $a0 # a[1]*a[0] - add %rax,$A0[0] # a[1]*a[0]+t[1] - mov $ai,%rax # a[2] - adc %rdx,$A0[1] - mov $A0[0],-24($tptr,$i) # t[1] - - xor $A0[0],$A0[0] - add -16($tptr,$i),$A0[1] # a[2]*a[0]+t[2] - adc \$0,$A0[0] - mul $a0 # a[2]*a[0] - add %rax,$A0[1] - mov $ai,%rax - adc %rdx,$A0[0] - mov $A0[1],-16($tptr,$i) # t[2] - - lea -16($i),$j # j=-16 - xor $A1[0],$A1[0] - - - mov 8($aptr,$j),$ai # a[3] - xor $A1[1],$A1[1] - add 8($tptr,$j),$A1[0] - adc \$0,$A1[1] - mul $a1 # a[2]*a[1] - add %rax,$A1[0] # a[2]*a[1]+t[3] - mov $ai,%rax - adc %rdx,$A1[1] - - xor $A0[1],$A0[1] - add $A1[0],$A0[0] - adc \$0,$A0[1] - mul $a0 # a[3]*a[0] - add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3] - mov $ai,%rax - adc %rdx,$A0[1] - mov $A0[0],8($tptr,$j) # t[3] - - lea 16($j),$j - jmp .Lsqr4x_inner - -.align 16 -.Lsqr4x_inner: - mov ($aptr,$j),$ai # a[4] - xor $A1[0],$A1[0] - add ($tptr,$j),$A1[1] - adc \$0,$A1[0] - mul $a1 # a[3]*a[1] - add %rax,$A1[1] # a[3]*a[1]+t[4] - mov $ai,%rax - adc %rdx,$A1[0] - - xor $A0[0],$A0[0] - add $A1[1],$A0[1] - adc \$0,$A0[0] - mul $a0 # a[4]*a[0] - add %rax,$A0[1] # a[4]*a[0]+a[3]*a[1]+t[4] - mov $ai,%rax # a[3] - adc %rdx,$A0[0] - mov $A0[1],($tptr,$j) # t[4] - - mov 8($aptr,$j),$ai # a[5] - xor $A1[1],$A1[1] - add 8($tptr,$j),$A1[0] - adc \$0,$A1[1] - mul $a1 # a[4]*a[3] - add %rax,$A1[0] # a[4]*a[3]+t[5] - mov $ai,%rax - adc %rdx,$A1[1] - - xor $A0[1],$A0[1] - add $A1[0],$A0[0] - lea 16($j),$j # j++ - adc \$0,$A0[1] - mul $a0 # a[5]*a[2] - add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5] - mov $ai,%rax - adc %rdx,$A0[1] - mov $A0[0],-8($tptr,$j) # t[5], "preloaded t[1]" below - - cmp \$0,$j - jne .Lsqr4x_inner - - xor $A1[0],$A1[0] - add $A0[1],$A1[1] - adc \$0,$A1[0] - mul $a1 # a[5]*a[3] - add %rax,$A1[1] - adc %rdx,$A1[0] - - mov $A1[1],($tptr) # t[6], "preloaded t[2]" below - mov $A1[0],8($tptr) # t[7], "preloaded t[3]" below - - add \$16,$i - jnz .Lsqr4x_outer - - # comments apply to $num==4 case - mov -32($aptr),$a0 # a[0] - lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num] - mov -24($aptr),%rax # a[1] - lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"] - mov -16($aptr),$ai # a[2] - mov %rax,$a1 - - xor $A0[1],$A0[1] - mul $a0 # a[1]*a[0] - add %rax,$A0[0] # a[1]*a[0]+t[1], preloaded t[1] - mov $ai,%rax # a[2] - adc %rdx,$A0[1] - mov $A0[0],-24($tptr) # t[1] - - xor $A0[0],$A0[0] - add $A1[1],$A0[1] # a[2]*a[0]+t[2], preloaded t[2] - adc \$0,$A0[0] - mul $a0 # a[2]*a[0] - add %rax,$A0[1] - mov $ai,%rax - adc %rdx,$A0[0] - mov $A0[1],-16($tptr) # t[2] - - mov -8($aptr),$ai # a[3] - mul $a1 # a[2]*a[1] - add %rax,$A1[0] # a[2]*a[1]+t[3], preloaded t[3] - mov $ai,%rax - adc \$0,%rdx - - xor $A0[1],$A0[1] - add $A1[0],$A0[0] - mov %rdx,$A1[1] - adc \$0,$A0[1] - mul $a0 # a[3]*a[0] - add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3] - mov $ai,%rax - adc %rdx,$A0[1] - mov $A0[0],-8($tptr) # t[3] - - xor $A1[0],$A1[0] - add $A0[1],$A1[1] - adc \$0,$A1[0] - mul $a1 # a[3]*a[1] - add %rax,$A1[1] - mov -16($aptr),%rax # a[2] - adc %rdx,$A1[0] - - mov $A1[1],($tptr) # t[4] - mov $A1[0],8($tptr) # t[5] - - mul $ai # a[2]*a[3] + lea -64(%rsp,$num,2),%r11 + mov ($n0),$n0 # *n0 + sub $aptr,%r11 + and \$4095,%r11 + cmp %r11,%r10 + jb .Lsqr8x_sp_alt + sub %r11,%rsp # align with $aptr + lea -64(%rsp,$num,2),%rsp # alloca(frame+2*$num) + jmp .Lsqr8x_sp_done + +.align 32 +.Lsqr8x_sp_alt: + lea 4096-64(,$num,2),%r10 # 4096-frame-2*$num + lea -64(%rsp,$num,2),%rsp # alloca(frame+2*$num) + sub %r10,%r11 + mov \$0,%r10 + cmovc %r10,%r11 + sub %r11,%rsp +.Lsqr8x_sp_done: + and \$-64,%rsp + mov %rax,%r11 + sub %rsp,%r11 + and \$-4096,%r11 +.Lsqr8x_page_walk: + mov (%rsp,%r11),%r10 + sub \$4096,%r11 + .byte 0x2e # predict non-taken + jnc .Lsqr8x_page_walk + + mov $num,%r10 + neg $num + + mov $n0, 32(%rsp) + mov %rax, 40(%rsp) # save original %rsp +.Lsqr8x_body: + + movq $nptr, %xmm2 # save pointer to modulus + pxor %xmm0,%xmm0 + movq $rptr,%xmm1 # save $rptr + movq %r10, %xmm3 # -$num ___ -{ -my ($shift,$carry)=($a0,$a1); -my @S=(@A1,$ai,$n0); -$code.=<<___; - add \$16,$i - xor $shift,$shift - sub $num,$i # $i=16-$num - xor $carry,$carry - - add $A1[0],%rax # t[5] - adc \$0,%rdx - mov %rax,8($tptr) # t[5] - mov %rdx,16($tptr) # t[6] - mov $carry,24($tptr) # t[7] - - mov -16($aptr,$i),%rax # a[0] - lea 64(%rsp,$num,2),$tptr - xor $A0[0],$A0[0] # t[0] - mov -24($tptr,$i,2),$A0[1] # t[1] - - lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift - shr \$63,$A0[0] - lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | - shr \$63,$A0[1] - or $A0[0],$S[1] # | t[2*i]>>63 - mov -16($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch - mov $A0[1],$shift # shift=t[2*i+1]>>63 - mul %rax # a[i]*a[i] - neg $carry # mov $carry,cf - mov -8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch - adc %rax,$S[0] - mov -8($aptr,$i),%rax # a[i+1] # prefetch - mov $S[0],-32($tptr,$i,2) - adc %rdx,$S[1] - - lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift - mov $S[1],-24($tptr,$i,2) - sbb $carry,$carry # mov cf,$carry - shr \$63,$A0[0] - lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | - shr \$63,$A0[1] - or $A0[0],$S[3] # | t[2*i]>>63 - mov 0($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch - mov $A0[1],$shift # shift=t[2*i+1]>>63 - mul %rax # a[i]*a[i] - neg $carry # mov $carry,cf - mov 8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch - adc %rax,$S[2] - mov 0($aptr,$i),%rax # a[i+1] # prefetch - mov $S[2],-16($tptr,$i,2) - adc %rdx,$S[3] - lea 16($i),$i - mov $S[3],-40($tptr,$i,2) - sbb $carry,$carry # mov cf,$carry - jmp .Lsqr4x_shift_n_add - -.align 16 -.Lsqr4x_shift_n_add: - lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift - shr \$63,$A0[0] - lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | - shr \$63,$A0[1] - or $A0[0],$S[1] # | t[2*i]>>63 - mov -16($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch - mov $A0[1],$shift # shift=t[2*i+1]>>63 - mul %rax # a[i]*a[i] - neg $carry # mov $carry,cf - mov -8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch - adc %rax,$S[0] - mov -8($aptr,$i),%rax # a[i+1] # prefetch - mov $S[0],-32($tptr,$i,2) - adc %rdx,$S[1] - - lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift - mov $S[1],-24($tptr,$i,2) - sbb $carry,$carry # mov cf,$carry - shr \$63,$A0[0] - lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | - shr \$63,$A0[1] - or $A0[0],$S[3] # | t[2*i]>>63 - mov 0($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch - mov $A0[1],$shift # shift=t[2*i+1]>>63 - mul %rax # a[i]*a[i] - neg $carry # mov $carry,cf - mov 8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch - adc %rax,$S[2] - mov 0($aptr,$i),%rax # a[i+1] # prefetch - mov $S[2],-16($tptr,$i,2) - adc %rdx,$S[3] - - lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift - mov $S[3],-8($tptr,$i,2) - sbb $carry,$carry # mov cf,$carry - shr \$63,$A0[0] - lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | - shr \$63,$A0[1] - or $A0[0],$S[1] # | t[2*i]>>63 - mov 16($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch - mov $A0[1],$shift # shift=t[2*i+1]>>63 - mul %rax # a[i]*a[i] - neg $carry # mov $carry,cf - mov 24($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch - adc %rax,$S[0] - mov 8($aptr,$i),%rax # a[i+1] # prefetch - mov $S[0],0($tptr,$i,2) - adc %rdx,$S[1] - - lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift - mov $S[1],8($tptr,$i,2) - sbb $carry,$carry # mov cf,$carry - shr \$63,$A0[0] - lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | - shr \$63,$A0[1] - or $A0[0],$S[3] # | t[2*i]>>63 - mov 32($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch - mov $A0[1],$shift # shift=t[2*i+1]>>63 - mul %rax # a[i]*a[i] - neg $carry # mov $carry,cf - mov 40($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch - adc %rax,$S[2] - mov 16($aptr,$i),%rax # a[i+1] # prefetch - mov $S[2],16($tptr,$i,2) - adc %rdx,$S[3] - mov $S[3],24($tptr,$i,2) - sbb $carry,$carry # mov cf,$carry - add \$32,$i - jnz .Lsqr4x_shift_n_add - - lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift - shr \$63,$A0[0] - lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 | - shr \$63,$A0[1] - or $A0[0],$S[1] # | t[2*i]>>63 - mov -16($tptr),$A0[0] # t[2*i+2] # prefetch - mov $A0[1],$shift # shift=t[2*i+1]>>63 - mul %rax # a[i]*a[i] - neg $carry # mov $carry,cf - mov -8($tptr),$A0[1] # t[2*i+2+1] # prefetch - adc %rax,$S[0] - mov -8($aptr),%rax # a[i+1] # prefetch - mov $S[0],-32($tptr) - adc %rdx,$S[1] - - lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1|shift - mov $S[1],-24($tptr) - sbb $carry,$carry # mov cf,$carry - shr \$63,$A0[0] - lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 | - shr \$63,$A0[1] - or $A0[0],$S[3] # | t[2*i]>>63 - mul %rax # a[i]*a[i] - neg $carry # mov $carry,cf - adc %rax,$S[2] - adc %rdx,$S[3] - mov $S[2],-16($tptr) - mov $S[3],-8($tptr) +$code.=<<___ if ($addx); + mov OPENSSL_ia32cap_P+8(%rip),%eax + and \$0x80100,%eax + cmp \$0x80100,%eax + jne .Lsqr8x_nox + + call bn_sqrx8x_internal # see x86_64-mont5 module + # %rax top-most carry + # %rbp nptr + # %rcx -8*num + # %r8 end of tp[2*num] + lea (%r8,%rcx),%rbx + mov %rcx,$num + mov %rcx,%rdx + movq %xmm1,$rptr + sar \$3+2,%rcx # %cf=0 + jmp .Lsqr8x_sub + +.align 32 +.Lsqr8x_nox: ___ -} -############################################################## -# Montgomery reduction part, "word-by-word" algorithm. -# -{ -my ($topbit,$nptr)=("%rbp",$aptr); -my ($m0,$m1)=($a0,$a1); -my @Ni=("%rbx","%r9"); $code.=<<___; - mov 40(%rsp),$nptr # restore $nptr - mov 48(%rsp),$n0 # restore *n0 - xor $j,$j - mov $num,0(%rsp) # save $num - sub $num,$j # $j=-$num - mov 64(%rsp),$A0[0] # t[0] # modsched # - mov $n0,$m0 # # modsched # - lea 64(%rsp,$num,2),%rax # end of t[] buffer - lea 64(%rsp,$num),$tptr # end of t[] window - mov %rax,8(%rsp) # save end of t[] buffer - lea ($nptr,$num),$nptr # end of n[] buffer - xor $topbit,$topbit # $topbit=0 - - mov 0($nptr,$j),%rax # n[0] # modsched # - mov 8($nptr,$j),$Ni[1] # n[1] # modsched # - imulq $A0[0],$m0 # m0=t[0]*n0 # modsched # - mov %rax,$Ni[0] # # modsched # - jmp .Lsqr4x_mont_outer + call bn_sqr8x_internal # see x86_64-mont5 module + # %rax top-most carry + # %rbp nptr + # %r8 -8*num + # %rdi end of tp[2*num] + lea (%rdi,$num),%rbx + mov $num,%rcx + mov $num,%rdx + movq %xmm1,$rptr + sar \$3+2,%rcx # %cf=0 + jmp .Lsqr8x_sub + +.align 32 +.Lsqr8x_sub: + mov 8*0(%rbx),%r12 + mov 8*1(%rbx),%r13 + mov 8*2(%rbx),%r14 + mov 8*3(%rbx),%r15 + lea 8*4(%rbx),%rbx + sbb 8*0(%rbp),%r12 + sbb 8*1(%rbp),%r13 + sbb 8*2(%rbp),%r14 + sbb 8*3(%rbp),%r15 + lea 8*4(%rbp),%rbp + mov %r12,8*0($rptr) + mov %r13,8*1($rptr) + mov %r14,8*2($rptr) + mov %r15,8*3($rptr) + lea 8*4($rptr),$rptr + inc %rcx # preserves %cf + jnz .Lsqr8x_sub + + sbb \$0,%rax # top-most carry + lea (%rbx,$num),%rbx # rewind + lea ($rptr,$num),$rptr # rewind + + movq %rax,%xmm1 + pxor %xmm0,%xmm0 + pshufd \$0,%xmm1,%xmm1 + mov 40(%rsp),%rsi # restore %rsp + jmp .Lsqr8x_cond_copy + +.align 32 +.Lsqr8x_cond_copy: + movdqa 16*0(%rbx),%xmm2 + movdqa 16*1(%rbx),%xmm3 + lea 16*2(%rbx),%rbx + movdqu 16*0($rptr),%xmm4 + movdqu 16*1($rptr),%xmm5 + lea 16*2($rptr),$rptr + movdqa %xmm0,-16*2(%rbx) # zero tp + movdqa %xmm0,-16*1(%rbx) + movdqa %xmm0,-16*2(%rbx,%rdx) + movdqa %xmm0,-16*1(%rbx,%rdx) + pcmpeqd %xmm1,%xmm0 + pand %xmm1,%xmm2 + pand %xmm1,%xmm3 + pand %xmm0,%xmm4 + pand %xmm0,%xmm5 + pxor %xmm0,%xmm0 + por %xmm2,%xmm4 + por %xmm3,%xmm5 + movdqu %xmm4,-16*2($rptr) + movdqu %xmm5,-16*1($rptr) + add \$32,$num + jnz .Lsqr8x_cond_copy -.align 16 -.Lsqr4x_mont_outer: - xor $A0[1],$A0[1] - mul $m0 # n[0]*m0 - add %rax,$A0[0] # n[0]*m0+t[0] - mov $Ni[1],%rax - adc %rdx,$A0[1] - mov $n0,$m1 + mov \$1,%rax + mov -48(%rsi),%r15 + mov -40(%rsi),%r14 + mov -32(%rsi),%r13 + mov -24(%rsi),%r12 + mov -16(%rsi),%rbp + mov -8(%rsi),%rbx + lea (%rsi),%rsp +.Lsqr8x_epilogue: + ret +.size bn_sqr8x_mont,.-bn_sqr8x_mont +___ +}}} + +if ($addx) {{{ +my $bp="%rdx"; # original value - xor $A0[0],$A0[0] - add 8($tptr,$j),$A0[1] - adc \$0,$A0[0] - mul $m0 # n[1]*m0 - add %rax,$A0[1] # n[1]*m0+t[1] - mov $Ni[0],%rax - adc %rdx,$A0[0] - - imulq $A0[1],$m1 - - mov 16($nptr,$j),$Ni[0] # n[2] - xor $A1[1],$A1[1] - add $A0[1],$A1[0] - adc \$0,$A1[1] - mul $m1 # n[0]*m1 - add %rax,$A1[0] # n[0]*m1+"t[1]" - mov $Ni[0],%rax - adc %rdx,$A1[1] - mov $A1[0],8($tptr,$j) # "t[1]" - - xor $A0[1],$A0[1] - add 16($tptr,$j),$A0[0] - adc \$0,$A0[1] - mul $m0 # n[2]*m0 - add %rax,$A0[0] # n[2]*m0+t[2] - mov $Ni[1],%rax - adc %rdx,$A0[1] - - mov 24($nptr,$j),$Ni[1] # n[3] - xor $A1[0],$A1[0] - add $A0[0],$A1[1] - adc \$0,$A1[0] - mul $m1 # n[1]*m1 - add %rax,$A1[1] # n[1]*m1+"t[2]" - mov $Ni[1],%rax - adc %rdx,$A1[0] - mov $A1[1],16($tptr,$j) # "t[2]" - - xor $A0[0],$A0[0] - add 24($tptr,$j),$A0[1] - lea 32($j),$j - adc \$0,$A0[0] - mul $m0 # n[3]*m0 - add %rax,$A0[1] # n[3]*m0+t[3] - mov $Ni[0],%rax - adc %rdx,$A0[0] - jmp .Lsqr4x_mont_inner +$code.=<<___; +.type bn_mulx4x_mont,\@function,6 +.align 32 +bn_mulx4x_mont: +.Lmulx4x_enter: + mov %rsp,%rax + push %rbx + push %rbp + push %r12 + push %r13 + push %r14 + push %r15 -.align 16 -.Lsqr4x_mont_inner: - mov ($nptr,$j),$Ni[0] # n[4] - xor $A1[1],$A1[1] - add $A0[1],$A1[0] - adc \$0,$A1[1] - mul $m1 # n[2]*m1 - add %rax,$A1[0] # n[2]*m1+"t[3]" - mov $Ni[0],%rax - adc %rdx,$A1[1] - mov $A1[0],-8($tptr,$j) # "t[3]" - - xor $A0[1],$A0[1] - add ($tptr,$j),$A0[0] - adc \$0,$A0[1] - mul $m0 # n[4]*m0 - add %rax,$A0[0] # n[4]*m0+t[4] - mov $Ni[1],%rax - adc %rdx,$A0[1] - - mov 8($nptr,$j),$Ni[1] # n[5] - xor $A1[0],$A1[0] - add $A0[0],$A1[1] - adc \$0,$A1[0] - mul $m1 # n[3]*m1 - add %rax,$A1[1] # n[3]*m1+"t[4]" - mov $Ni[1],%rax - adc %rdx,$A1[0] - mov $A1[1],($tptr,$j) # "t[4]" - - xor $A0[0],$A0[0] - add 8($tptr,$j),$A0[1] - adc \$0,$A0[0] - mul $m0 # n[5]*m0 - add %rax,$A0[1] # n[5]*m0+t[5] - mov $Ni[0],%rax - adc %rdx,$A0[0] - - - mov 16($nptr,$j),$Ni[0] # n[6] - xor $A1[1],$A1[1] - add $A0[1],$A1[0] - adc \$0,$A1[1] - mul $m1 # n[4]*m1 - add %rax,$A1[0] # n[4]*m1+"t[5]" - mov $Ni[0],%rax - adc %rdx,$A1[1] - mov $A1[0],8($tptr,$j) # "t[5]" - - xor $A0[1],$A0[1] - add 16($tptr,$j),$A0[0] - adc \$0,$A0[1] - mul $m0 # n[6]*m0 - add %rax,$A0[0] # n[6]*m0+t[6] - mov $Ni[1],%rax - adc %rdx,$A0[1] - - mov 24($nptr,$j),$Ni[1] # n[7] - xor $A1[0],$A1[0] - add $A0[0],$A1[1] - adc \$0,$A1[0] - mul $m1 # n[5]*m1 - add %rax,$A1[1] # n[5]*m1+"t[6]" - mov $Ni[1],%rax - adc %rdx,$A1[0] - mov $A1[1],16($tptr,$j) # "t[6]" - - xor $A0[0],$A0[0] - add 24($tptr,$j),$A0[1] - lea 32($j),$j - adc \$0,$A0[0] - mul $m0 # n[7]*m0 - add %rax,$A0[1] # n[7]*m0+t[7] - mov $Ni[0],%rax - adc %rdx,$A0[0] - cmp \$0,$j - jne .Lsqr4x_mont_inner - - sub 0(%rsp),$j # $j=-$num # modsched # - mov $n0,$m0 # # modsched # - - xor $A1[1],$A1[1] - add $A0[1],$A1[0] - adc \$0,$A1[1] - mul $m1 # n[6]*m1 - add %rax,$A1[0] # n[6]*m1+"t[7]" - mov $Ni[1],%rax - adc %rdx,$A1[1] - mov $A1[0],-8($tptr) # "t[7]" - - xor $A0[1],$A0[1] - add ($tptr),$A0[0] # +t[8] - adc \$0,$A0[1] - mov 0($nptr,$j),$Ni[0] # n[0] # modsched # - add $topbit,$A0[0] - adc \$0,$A0[1] - - imulq 16($tptr,$j),$m0 # m0=t[0]*n0 # modsched # - xor $A1[0],$A1[0] - mov 8($nptr,$j),$Ni[1] # n[1] # modsched # - add $A0[0],$A1[1] - mov 16($tptr,$j),$A0[0] # t[0] # modsched # - adc \$0,$A1[0] - mul $m1 # n[7]*m1 - add %rax,$A1[1] # n[7]*m1+"t[8]" - mov $Ni[0],%rax # # modsched # - adc %rdx,$A1[0] - mov $A1[1],($tptr) # "t[8]" - - xor $topbit,$topbit - add 8($tptr),$A1[0] # +t[9] - adc $topbit,$topbit - add $A0[1],$A1[0] - lea 16($tptr),$tptr # "t[$num]>>128" - adc \$0,$topbit - mov $A1[0],-8($tptr) # "t[9]" - cmp 8(%rsp),$tptr # are we done? - jb .Lsqr4x_mont_outer - - mov 0(%rsp),$num # restore $num - mov $topbit,($tptr) # save $topbit + shl \$3,${num}d # convert $num to bytes + .byte 0x67 + xor %r10,%r10 + sub $num,%r10 # -$num + mov ($n0),$n0 # *n0 + lea -72(%rsp,%r10),%rsp # alloca(frame+$num+8) + and \$-128,%rsp + mov %rax,%r11 + sub %rsp,%r11 + and \$-4096,%r11 +.Lmulx4x_page_walk: + mov (%rsp,%r11),%r10 + sub \$4096,%r11 + .byte 0x66,0x2e # predict non-taken + jnc .Lmulx4x_page_walk + + lea ($bp,$num),%r10 + ############################################################## + # Stack layout + # +0 num + # +8 off-loaded &b[i] + # +16 end of b[num] + # +24 saved n0 + # +32 saved rp + # +40 saved %rsp + # +48 inner counter + # +56 + # +64 tmp[num+1] + # + mov $num,0(%rsp) # save $num + shr \$5,$num + mov %r10,16(%rsp) # end of b[num] + sub \$1,$num + mov $n0, 24(%rsp) # save *n0 + mov $rp, 32(%rsp) # save $rp + mov %rax,40(%rsp) # save original %rsp + mov $num,48(%rsp) # inner counter + jmp .Lmulx4x_body + +.align 32 +.Lmulx4x_body: ___ -} -############################################################## -# Post-condition, 4x unrolled copy from bn_mul_mont -# -{ -my ($tptr,$nptr)=("%rbx",$aptr); -my @ri=("%rax","%rdx","%r10","%r11"); +my ($aptr, $bptr, $nptr, $tptr, $mi, $bi, $zero, $num)= + ("%rsi","%rdi","%rcx","%rbx","%r8","%r9","%rbp","%rax"); +my $rptr=$bptr; $code.=<<___; - mov 64(%rsp,$num),@ri[0] # tp[0] - lea 64(%rsp,$num),$tptr # upper half of t[2*$num] holds result - mov 40(%rsp),$nptr # restore $nptr - shr \$5,$num # num/4 - mov 8($tptr),@ri[1] # t[1] - xor $i,$i # i=0 and clear CF! - - mov 32(%rsp),$rptr # restore $rptr - sub 0($nptr),@ri[0] - mov 16($tptr),@ri[2] # t[2] - mov 24($tptr),@ri[3] # t[3] - sbb 8($nptr),@ri[1] - lea -1($num),$j # j=num/4-1 - jmp .Lsqr4x_sub -.align 16 -.Lsqr4x_sub: - mov @ri[0],0($rptr,$i,8) # rp[i]=tp[i]-np[i] - mov @ri[1],8($rptr,$i,8) # rp[i]=tp[i]-np[i] - sbb 16($nptr,$i,8),@ri[2] - mov 32($tptr,$i,8),@ri[0] # tp[i+1] - mov 40($tptr,$i,8),@ri[1] - sbb 24($nptr,$i,8),@ri[3] - mov @ri[2],16($rptr,$i,8) # rp[i]=tp[i]-np[i] - mov @ri[3],24($rptr,$i,8) # rp[i]=tp[i]-np[i] - sbb 32($nptr,$i,8),@ri[0] - mov 48($tptr,$i,8),@ri[2] - mov 56($tptr,$i,8),@ri[3] - sbb 40($nptr,$i,8),@ri[1] - lea 4($i),$i # i++ - dec $j # doesn't affect CF! - jnz .Lsqr4x_sub - - mov @ri[0],0($rptr,$i,8) # rp[i]=tp[i]-np[i] - mov 32($tptr,$i,8),@ri[0] # load overflow bit - sbb 16($nptr,$i,8),@ri[2] - mov @ri[1],8($rptr,$i,8) # rp[i]=tp[i]-np[i] - sbb 24($nptr,$i,8),@ri[3] - mov @ri[2],16($rptr,$i,8) # rp[i]=tp[i]-np[i] - - sbb \$0,@ri[0] # handle upmost overflow bit - mov @ri[3],24($rptr,$i,8) # rp[i]=tp[i]-np[i] - xor $i,$i # i=0 - and @ri[0],$tptr - not @ri[0] - mov $rptr,$nptr - and @ri[0],$nptr - lea -1($num),$j - or $nptr,$tptr # tp=borrow?tp:rp - + lea 8($bp),$bptr + mov ($bp),%rdx # b[0], $bp==%rdx actually + lea 64+32(%rsp),$tptr + mov %rdx,$bi + + mulx 0*8($aptr),$mi,%rax # a[0]*b[0] + mulx 1*8($aptr),%r11,%r14 # a[1]*b[0] + add %rax,%r11 + mov $bptr,8(%rsp) # off-load &b[i] + mulx 2*8($aptr),%r12,%r13 # ... + adc %r14,%r12 + adc \$0,%r13 + + mov $mi,$bptr # borrow $bptr + imulq 24(%rsp),$mi # "t[0]"*n0 + xor $zero,$zero # cf=0, of=0 + + mulx 3*8($aptr),%rax,%r14 + mov $mi,%rdx + lea 4*8($aptr),$aptr + adcx %rax,%r13 + adcx $zero,%r14 # cf=0 + + mulx 0*8($nptr),%rax,%r10 + adcx %rax,$bptr # discarded + adox %r11,%r10 + mulx 1*8($nptr),%rax,%r11 + adcx %rax,%r10 + adox %r12,%r11 + .byte 0xc4,0x62,0xfb,0xf6,0xa1,0x10,0x00,0x00,0x00 # mulx 2*8($nptr),%rax,%r12 + mov 48(%rsp),$bptr # counter value + mov %r10,-4*8($tptr) + adcx %rax,%r11 + adox %r13,%r12 + mulx 3*8($nptr),%rax,%r15 + mov $bi,%rdx + mov %r11,-3*8($tptr) + adcx %rax,%r12 + adox $zero,%r15 # of=0 + lea 4*8($nptr),$nptr + mov %r12,-2*8($tptr) + + jmp .Lmulx4x_1st + +.align 32 +.Lmulx4x_1st: + adcx $zero,%r15 # cf=0, modulo-scheduled + mulx 0*8($aptr),%r10,%rax # a[4]*b[0] + adcx %r14,%r10 + mulx 1*8($aptr),%r11,%r14 # a[5]*b[0] + adcx %rax,%r11 + mulx 2*8($aptr),%r12,%rax # ... + adcx %r14,%r12 + mulx 3*8($aptr),%r13,%r14 + .byte 0x67,0x67 + mov $mi,%rdx + adcx %rax,%r13 + adcx $zero,%r14 # cf=0 + lea 4*8($aptr),$aptr + lea 4*8($tptr),$tptr + + adox %r15,%r10 + mulx 0*8($nptr),%rax,%r15 + adcx %rax,%r10 + adox %r15,%r11 + mulx 1*8($nptr),%rax,%r15 + adcx %rax,%r11 + adox %r15,%r12 + mulx 2*8($nptr),%rax,%r15 + mov %r10,-5*8($tptr) + adcx %rax,%r12 + mov %r11,-4*8($tptr) + adox %r15,%r13 + mulx 3*8($nptr),%rax,%r15 + mov $bi,%rdx + mov %r12,-3*8($tptr) + adcx %rax,%r13 + adox $zero,%r15 + lea 4*8($nptr),$nptr + mov %r13,-2*8($tptr) + + dec $bptr # of=0, pass cf + jnz .Lmulx4x_1st + + mov 0(%rsp),$num # load num + mov 8(%rsp),$bptr # re-load &b[i] + adc $zero,%r15 # modulo-scheduled + add %r15,%r14 + sbb %r15,%r15 # top-most carry + mov %r14,-1*8($tptr) + jmp .Lmulx4x_outer + +.align 32 +.Lmulx4x_outer: + mov ($bptr),%rdx # b[i] + lea 8($bptr),$bptr # b++ + sub $num,$aptr # rewind $aptr + mov %r15,($tptr) # save top-most carry + lea 64+4*8(%rsp),$tptr + sub $num,$nptr # rewind $nptr + + mulx 0*8($aptr),$mi,%r11 # a[0]*b[i] + xor %ebp,%ebp # xor $zero,$zero # cf=0, of=0 + mov %rdx,$bi + mulx 1*8($aptr),%r14,%r12 # a[1]*b[i] + adox -4*8($tptr),$mi + adcx %r14,%r11 + mulx 2*8($aptr),%r15,%r13 # ... + adox -3*8($tptr),%r11 + adcx %r15,%r12 + adox $zero,%r12 + adcx $zero,%r13 + + mov $bptr,8(%rsp) # off-load &b[i] + .byte 0x67 + mov $mi,%r15 + imulq 24(%rsp),$mi # "t[0]"*n0 + xor %ebp,%ebp # xor $zero,$zero # cf=0, of=0 + + mulx 3*8($aptr),%rax,%r14 + mov $mi,%rdx + adox -2*8($tptr),%r12 + adcx %rax,%r13 + adox -1*8($tptr),%r13 + adcx $zero,%r14 + lea 4*8($aptr),$aptr + adox $zero,%r14 + + mulx 0*8($nptr),%rax,%r10 + adcx %rax,%r15 # discarded + adox %r11,%r10 + mulx 1*8($nptr),%rax,%r11 + adcx %rax,%r10 + adox %r12,%r11 + mulx 2*8($nptr),%rax,%r12 + mov %r10,-4*8($tptr) + adcx %rax,%r11 + adox %r13,%r12 + mulx 3*8($nptr),%rax,%r15 + mov $bi,%rdx + mov %r11,-3*8($tptr) + lea 4*8($nptr),$nptr + adcx %rax,%r12 + adox $zero,%r15 # of=0 + mov 48(%rsp),$bptr # counter value + mov %r12,-2*8($tptr) + + jmp .Lmulx4x_inner + +.align 32 +.Lmulx4x_inner: + mulx 0*8($aptr),%r10,%rax # a[4]*b[i] + adcx $zero,%r15 # cf=0, modulo-scheduled + adox %r14,%r10 + mulx 1*8($aptr),%r11,%r14 # a[5]*b[i] + adcx 0*8($tptr),%r10 + adox %rax,%r11 + mulx 2*8($aptr),%r12,%rax # ... + adcx 1*8($tptr),%r11 + adox %r14,%r12 + mulx 3*8($aptr),%r13,%r14 + mov $mi,%rdx + adcx 2*8($tptr),%r12 + adox %rax,%r13 + adcx 3*8($tptr),%r13 + adox $zero,%r14 # of=0 + lea 4*8($aptr),$aptr + lea 4*8($tptr),$tptr + adcx $zero,%r14 # cf=0 + + adox %r15,%r10 + mulx 0*8($nptr),%rax,%r15 + adcx %rax,%r10 + adox %r15,%r11 + mulx 1*8($nptr),%rax,%r15 + adcx %rax,%r11 + adox %r15,%r12 + mulx 2*8($nptr),%rax,%r15 + mov %r10,-5*8($tptr) + adcx %rax,%r12 + adox %r15,%r13 + mulx 3*8($nptr),%rax,%r15 + mov $bi,%rdx + mov %r11,-4*8($tptr) + mov %r12,-3*8($tptr) + adcx %rax,%r13 + adox $zero,%r15 + lea 4*8($nptr),$nptr + mov %r13,-2*8($tptr) + + dec $bptr # of=0, pass cf + jnz .Lmulx4x_inner + + mov 0(%rsp),$num # load num + mov 8(%rsp),$bptr # re-load &b[i] + adc $zero,%r15 # modulo-scheduled + sub 0*8($tptr),$zero # pull top-most carry + adc %r15,%r14 + sbb %r15,%r15 # top-most carry + mov %r14,-1*8($tptr) + + cmp 16(%rsp),$bptr + jne .Lmulx4x_outer + + lea 64(%rsp),$tptr + sub $num,$nptr # rewind $nptr + neg %r15 + mov $num,%rdx + shr \$3+2,$num # %cf=0 + mov 32(%rsp),$rptr # restore rp + jmp .Lmulx4x_sub + +.align 32 +.Lmulx4x_sub: + mov 8*0($tptr),%r11 + mov 8*1($tptr),%r12 + mov 8*2($tptr),%r13 + mov 8*3($tptr),%r14 + lea 8*4($tptr),$tptr + sbb 8*0($nptr),%r11 + sbb 8*1($nptr),%r12 + sbb 8*2($nptr),%r13 + sbb 8*3($nptr),%r14 + lea 8*4($nptr),$nptr + mov %r11,8*0($rptr) + mov %r12,8*1($rptr) + mov %r13,8*2($rptr) + mov %r14,8*3($rptr) + lea 8*4($rptr),$rptr + dec $num # preserves %cf + jnz .Lmulx4x_sub + + sbb \$0,%r15 # top-most carry + lea 64(%rsp),$tptr + sub %rdx,$rptr # rewind + + movq %r15,%xmm1 pxor %xmm0,%xmm0 - lea 64(%rsp,$num,8),$nptr - movdqu ($tptr),%xmm1 - lea ($nptr,$num,8),$nptr - movdqa %xmm0,64(%rsp) # zap lower half of temporary vector - movdqa %xmm0,($nptr) # zap upper half of temporary vector - movdqu %xmm1,($rptr) - jmp .Lsqr4x_copy -.align 16 -.Lsqr4x_copy: # copy or in-place refresh - movdqu 16($tptr,$i),%xmm2 - movdqu 32($tptr,$i),%xmm1 - movdqa %xmm0,80(%rsp,$i) # zap lower half of temporary vector - movdqa %xmm0,96(%rsp,$i) # zap lower half of temporary vector - movdqa %xmm0,16($nptr,$i) # zap upper half of temporary vector - movdqa %xmm0,32($nptr,$i) # zap upper half of temporary vector - movdqu %xmm2,16($rptr,$i) - movdqu %xmm1,32($rptr,$i) - lea 32($i),$i - dec $j - jnz .Lsqr4x_copy + pshufd \$0,%xmm1,%xmm1 + mov 40(%rsp),%rsi # restore %rsp + jmp .Lmulx4x_cond_copy + +.align 32 +.Lmulx4x_cond_copy: + movdqa 16*0($tptr),%xmm2 + movdqa 16*1($tptr),%xmm3 + lea 16*2($tptr),$tptr + movdqu 16*0($rptr),%xmm4 + movdqu 16*1($rptr),%xmm5 + lea 16*2($rptr),$rptr + movdqa %xmm0,-16*2($tptr) # zero tp + movdqa %xmm0,-16*1($tptr) + pcmpeqd %xmm1,%xmm0 + pand %xmm1,%xmm2 + pand %xmm1,%xmm3 + pand %xmm0,%xmm4 + pand %xmm0,%xmm5 + pxor %xmm0,%xmm0 + por %xmm2,%xmm4 + por %xmm3,%xmm5 + movdqu %xmm4,-16*2($rptr) + movdqu %xmm5,-16*1($rptr) + sub \$32,%rdx + jnz .Lmulx4x_cond_copy + + mov %rdx,($tptr) - movdqu 16($tptr,$i),%xmm2 - movdqa %xmm0,80(%rsp,$i) # zap lower half of temporary vector - movdqa %xmm0,16($nptr,$i) # zap upper half of temporary vector - movdqu %xmm2,16($rptr,$i) -___ -} -$code.=<<___; - mov 56(%rsp),%rsi # restore %rsp mov \$1,%rax - mov 0(%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 -.Lsqr4x_epilogue: + mov -48(%rsi),%r15 + mov -40(%rsi),%r14 + mov -32(%rsi),%r13 + mov -24(%rsi),%r12 + mov -16(%rsi),%rbp + mov -8(%rsi),%rbx + lea (%rsi),%rsp +.Lmulx4x_epilogue: ret -.size bn_sqr4x_mont,.-bn_sqr4x_mont +.size bn_mulx4x_mont,.-bn_mulx4x_mont ___ }}} $code.=<<___; @@ -1580,18 +1367,22 @@ sqr_handler: mov 120($context),%rax # pull context->Rax mov 248($context),%rbx # pull context->Rip - lea .Lsqr4x_body(%rip),%r10 + mov 8($disp),%rsi # disp->ImageBase + mov 56($disp),%r11 # disp->HandlerData + + mov 0(%r11),%r10d # HandlerData[0] + lea (%rsi,%r10),%r10 # end of prologue label cmp %r10,%rbx # context->Rip<.Lsqr_body jb .Lcommon_seh_tail mov 152($context),%rax # pull context->Rsp - lea .Lsqr4x_epilogue(%rip),%r10 + mov 4(%r11),%r10d # HandlerData[1] + lea (%rsi,%r10),%r10 # epilogue label cmp %r10,%rbx # context->Rip>=.Lsqr_epilogue jae .Lcommon_seh_tail - mov 56(%rax),%rax # pull saved stack pointer - lea 48(%rax),%rax + mov 40(%rax),%rax # pull saved stack pointer mov -8(%rax),%rbx mov -16(%rax),%rbp @@ -1656,10 +1447,16 @@ sqr_handler: .rva .LSEH_end_bn_mul4x_mont .rva .LSEH_info_bn_mul4x_mont - .rva .LSEH_begin_bn_sqr4x_mont - .rva .LSEH_end_bn_sqr4x_mont - .rva .LSEH_info_bn_sqr4x_mont - + .rva .LSEH_begin_bn_sqr8x_mont + .rva .LSEH_end_bn_sqr8x_mont + .rva .LSEH_info_bn_sqr8x_mont +___ +$code.=<<___ if ($addx); + .rva .LSEH_begin_bn_mulx4x_mont + .rva .LSEH_end_bn_mulx4x_mont + .rva .LSEH_info_bn_mulx4x_mont +___ +$code.=<<___; .section .xdata .align 8 .LSEH_info_bn_mul_mont: @@ -1670,9 +1467,16 @@ sqr_handler: .byte 9,0,0,0 .rva mul_handler .rva .Lmul4x_body,.Lmul4x_epilogue # HandlerData[] -.LSEH_info_bn_sqr4x_mont: +.LSEH_info_bn_sqr8x_mont: + .byte 9,0,0,0 + .rva sqr_handler + .rva .Lsqr8x_body,.Lsqr8x_epilogue # HandlerData[] +___ +$code.=<<___ if ($addx); +.LSEH_info_bn_mulx4x_mont: .byte 9,0,0,0 .rva sqr_handler + .rva .Lmulx4x_body,.Lmulx4x_epilogue # HandlerData[] ___ }