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-rwxr-xr-xapp/openssl/crypto/bn/asm/x86_64-mont.pl1681
1 files changed, 0 insertions, 1681 deletions
diff --git a/app/openssl/crypto/bn/asm/x86_64-mont.pl b/app/openssl/crypto/bn/asm/x86_64-mont.pl
deleted file mode 100755
index 17fb94c8..00000000
--- a/app/openssl/crypto/bn/asm/x86_64-mont.pl
+++ /dev/null
@@ -1,1681 +0,0 @@
-#!/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/.
-# ====================================================================
-
-# 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...
-
-# July 2011.
-#
-# Add dedicated squaring procedure. Performance improvement varies
-# from platform to platform, but in average it's ~5%/15%/25%/33%
-# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
-
-# August 2011.
-#
-# Unroll and modulo-schedule inner loops in such manner that they
-# are "fallen through" for input lengths of 8, which is critical for
-# 1024-bit RSA *sign*. Average performance improvement in comparison
-# to *initial* version of this module from 2005 is ~0%/30%/40%/45%
-# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
-
-$flavour = shift;
-$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 $output";
-*STDOUT=*OUT;
-
-# int bn_mul_mont(
-$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";
-$hi0="%r11";
-$hi1="%r13";
-$i="%r14";
-$j="%r15";
-$m0="%rbx";
-$m1="%rbp";
-
-$code=<<___;
-.text
-
-.globl bn_mul_mont
-.type bn_mul_mont,\@function,6
-.align 16
-bn_mul_mont:
- test \$3,${num}d
- jnz .Lmul_enter
- cmp \$8,${num}d
- jb .Lmul_enter
- cmp $ap,$bp
- jne .Lmul4x_enter
- jmp .Lsqr4x_enter
-
-.align 16
-.Lmul_enter:
- 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
-.Lmul_body:
- mov $bp,%r12 # reassign $bp
-___
- $bp="%r12";
-$code.=<<___;
- mov ($n0),$n0 # pull n0[0] value
- mov ($bp),$m0 # m0=bp[0]
- mov ($ap),%rax
-
- xor $i,$i # i=0
- xor $j,$j # j=0
-
- mov $n0,$m1
- mulq $m0 # ap[0]*bp[0]
- mov %rax,$lo0
- mov ($np),%rax
-
- imulq $lo0,$m1 # "tp[0]"*n0
- mov %rdx,$hi0
-
- 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
-
- 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),$i # i++
- jmp .Louter
-.align 16
-.Louter:
- mov ($bp,$i,8),$m0 # m0=bp[i]
- xor $j,$j # j=0
- mov $n0,$m1
- mov (%rsp),$lo0
- mulq $m0 # ap[0]*bp[i]
- add %rax,$lo0 # ap[0]*bp[i]+tp[0]
- mov ($np),%rax
- adc \$0,%rdx
-
- imulq $lo0,$m1 # tp[0]*n0
- mov %rdx,$hi0
-
- 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
-
- 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
- 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,.-bn_mul_mont
-___
-{{{
-my @A=("%r10","%r11");
-my @N=("%r13","%rdi");
-$code.=<<___;
-.type bn_mul4x_mont,\@function,6
-.align 16
-bn_mul4x_mont:
-.Lmul4x_enter:
- push %rbx
- push %rbp
- push %r12
- push %r13
- push %r14
- push %r15
-
- mov ${num}d,${num}d
- lea 4($num),%r10
- mov %rsp,%r11
- neg %r10
- lea (%rsp,%r10,8),%rsp # tp=alloca(8*(num+4))
- and \$-1024,%rsp # minimize TLB usage
-
- mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp
-.Lmul4x_body:
- mov $rp,16(%rsp,$num,8) # tp[num+2]=$rp
- mov %rdx,%r12 # reassign $bp
-___
- $bp="%r12";
-$code.=<<___;
- mov ($n0),$n0 # pull n0[0] value
- mov ($bp),$m0 # m0=bp[0]
- mov ($ap),%rax
-
- xor $i,$i # i=0
- xor $j,$j # j=0
-
- mov $n0,$m1
- mulq $m0 # ap[0]*bp[0]
- mov %rax,$A[0]
- mov ($np),%rax
-
- imulq $A[0],$m1 # "tp[0]"*n0
- mov %rdx,$A[1]
-
- 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]
-
- 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:
- mov ($bp,$i,8),$m0 # m0=bp[i]
- xor $j,$j # j=0
- 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
-
- imulq $A[0],$m1 # tp[0]*n0
- mov %rdx,$A[1]
-
- 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 $N[1],(%rsp) # tp[j-1]
- mov %rdx,$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 $N[0],-24(%rsp,$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 $N[1],-16(%rsp,$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 $N[0],-8(%rsp,$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 $N[1],-32(%rsp,$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 $N[0],-24(%rsp,$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 $N[1],-16(%rsp,$j,8) # tp[j-1]
- mov %rdx,$N[0]
-
- 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
- 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,.-bn_mul4x_mont
-___
-}}}
- {{{
-######################################################################
-# void bn_sqr4x_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 $num ="%r9"; # int num, has to be divisible by 4 and
- # not less than 8
-
-my ($i,$j,$tptr)=("%rbp","%rcx",$rptr);
-my @A0=("%r10","%r11");
-my @A1=("%r12","%r13");
-my ($a0,$a1,$ai)=("%r14","%r15","%rbx");
-
-$code.=<<___;
-.type bn_sqr4x_mont,\@function,6
-.align 16
-bn_sqr4x_mont:
-.Lsqr4x_enter:
- push %rbx
- push %rbp
- push %r12
- push %r13
- push %r14
- push %r15
-
- shl \$3,${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 $n0, 48(%rsp)
- mov %r11, 56(%rsp) # save original %rsp
-.Lsqr4x_body:
- ##############################################################
- # Squaring part:
- #
- # a) multiply-n-add everything but a[i]*a[i];
- # b) shift result of a) by 1 to the left and accumulate
- # a[i]*a[i] products;
- #
- lea 32(%r10),$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 $ai # a[2]*a[3]
-___
-{
-my ($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)
-___
-}
-##############################################################
-# 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
-
-.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
-
- 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
-
-.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 $topbit
-___
-}
-##############################################################
-# Post-condition, 4x unrolled copy from bn_mul_mont
-#
-{
-my ($tptr,$nptr)=("%rbx",$aptr);
-my @ri=("%rax","%rdx","%r10","%r11");
-$code.=<<___;
- mov 64(%rsp,$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
-
- 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 $j
- jnz .Lsqr4x_copy
-
- movdqu 16($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)
-___
-}
-$code.=<<___;
- mov 56(%rsp),%rsi # restore %rsp
- mov \$1,%rax
- mov 0(%rsi),%r15
- mov 8(%rsi),%r14
- mov 16(%rsi),%r13
- mov 24(%rsi),%r12
- mov 32(%rsi),%rbp
- mov 40(%rsi),%rbx
- lea 48(%rsi),%rsp
-.Lsqr4x_epilogue:
- ret
-.size bn_sqr4x_mont,.-bn_sqr4x_mont
-___
-}}}
-$code.=<<___;
-.asciz "Montgomery Multiplication for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
-.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 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
-
- mov 152($context),%rax # pull context->Rsp
-
- mov 4(%r11),%r10d # HandlerData[1]
- lea (%rsi,%r10),%r10 # epilogue label
- cmp %r10,%rbx # context->Rip>=epilogue label
- jae .Lcommon_seh_tail
-
- mov 192($context),%r10 # pull $num
- mov 8(%rax,%r10,8),%rax # pull saved stack pointer
- lea 48(%rax),%rax
-
- mov -8(%rax),%rbx
- mov -16(%rax),%rbp
- mov -24(%rax),%r12
- mov -32(%rax),%r13
- mov -40(%rax),%r14
- mov -48(%rax),%r15
- mov %rbx,144($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($context) # restore context->R15
-
- jmp .Lcommon_seh_tail
-.size mul_handler,.-mul_handler
-
-.type sqr_handler,\@abi-omnipotent
-.align 16
-sqr_handler:
- push %rsi
- push %rdi
- push %rbx
- push %rbp
- push %r12
- push %r13
- push %r14
- push %r15
- pushfq
- sub \$64,%rsp
-
- mov 120($context),%rax # pull context->Rax
- mov 248($context),%rbx # pull context->Rip
-
- lea .Lsqr4x_body(%rip),%r10
- cmp %r10,%rbx # context->Rip<.Lsqr_body
- jb .Lcommon_seh_tail
-
- mov 152($context),%rax # pull context->Rsp
-
- lea .Lsqr4x_epilogue(%rip),%r10
- cmp %r10,%rbx # context->Rip>=.Lsqr_epilogue
- jae .Lcommon_seh_tail
-
- mov 56(%rax),%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
-
-.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 sqr_handler,.-sqr_handler
-
-.section .pdata
-.align 4
- .rva .LSEH_begin_bn_mul_mont
- .rva .LSEH_end_bn_mul_mont
- .rva .LSEH_info_bn_mul_mont
-
- .rva .LSEH_begin_bn_mul4x_mont
- .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
-
-.section .xdata
-.align 8
-.LSEH_info_bn_mul_mont:
- .byte 9,0,0,0
- .rva mul_handler
- .rva .Lmul_body,.Lmul_epilogue # HandlerData[]
-.LSEH_info_bn_mul4x_mont:
- .byte 9,0,0,0
- .rva mul_handler
- .rva .Lmul4x_body,.Lmul4x_epilogue # HandlerData[]
-.LSEH_info_bn_sqr4x_mont:
- .byte 9,0,0,0
- .rva sqr_handler
-___
-}
-
-print $code;
-close STDOUT;
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-10 02:43:23 +0000