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- #!/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.
- # 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; }
- $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 $output";
- *STDOUT=*OUT;
- if (`$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,
- $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";
- $code=<<___;
- .text
- .extern OPENSSL_ia32cap_P
- .globl bn_mul_mont
- .type bn_mul_mont,\@function,6
- .align 16
- bn_mul_mont:
- test \$3,${num}d
- jnz .Lmul_enter
- cmp \$8,${num}d
- jb .Lmul_enter
- ___
- $code.=<<___ if ($addx);
- mov OPENSSL_ia32cap_P+8(%rip),%r11d
- ___
- $code.=<<___;
- cmp $ap,$bp
- jne .Lmul4x_enter
- test \$7,${num}d
- jz .Lsqr8x_enter
- jmp .Lmul4x_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
- jb .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:
- ___
- $code.=<<___ if ($addx);
- and \$0x80100,%r11d
- cmp \$0x80100,%r11d
- je .Lmulx4x_enter
- ___
- $code.=<<___;
- 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
- jb .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
- jb .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
- jb .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_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 $num ="%r9"; # int num, has to be divisible by 8
- my ($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.=<<___;
- .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
- push %r13
- push %r14
- push %r15
- mov ${num}d,%r10d
- shl \$3,${num}d # convert $num to bytes
- shl \$3+2,%r10 # 4*$num
- neg $num
- ##############################################################
- # ensure that stack frame doesn't alias with $aptr modulo
- # 4096. this is done to allow memory disambiguation logic
- # do its job.
- #
- lea -64(%rsp,$num,4),%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,4),%rsp # alloca(frame+4*$num)
- jmp .Lsqr8x_sp_done
- .align 32
- .Lsqr8x_sp_alt:
- lea 4096-64(,$num,4),%r10 # 4096-frame-4*$num
- lea -64(%rsp,$num,4),%rsp # alloca(frame+4*$num)
- sub %r10,%r11
- mov \$0,%r10
- cmovc %r10,%r11
- sub %r11,%rsp
- .Lsqr8x_sp_done:
- and \$-64,%rsp
- mov $num,%r10
- neg $num
- lea 64(%rsp,$num,2),%r11 # copy of modulus
- mov $n0, 32(%rsp)
- mov %rax, 40(%rsp) # save original %rsp
- .Lsqr8x_body:
- mov $num,$i
- movq %r11, %xmm2 # save pointer to modulus copy
- shr \$3+2,$i
- mov OPENSSL_ia32cap_P+8(%rip),%eax
- jmp .Lsqr8x_copy_n
- .align 32
- .Lsqr8x_copy_n:
- movq 8*0($nptr),%xmm0
- movq 8*1($nptr),%xmm1
- movq 8*2($nptr),%xmm3
- movq 8*3($nptr),%xmm4
- lea 8*4($nptr),$nptr
- movdqa %xmm0,16*0(%r11)
- movdqa %xmm1,16*1(%r11)
- movdqa %xmm3,16*2(%r11)
- movdqa %xmm4,16*3(%r11)
- lea 16*4(%r11),%r11
- dec $i
- jnz .Lsqr8x_copy_n
- pxor %xmm0,%xmm0
- movq $rptr,%xmm1 # save $rptr
- movq %r10, %xmm3 # -$num
- ___
- $code.=<<___ if ($addx);
- and \$0x80100,%eax
- cmp \$0x80100,%eax
- jne .Lsqr8x_nox
- call bn_sqrx8x_internal # see x86_64-mont5 module
- pxor %xmm0,%xmm0
- lea 48(%rsp),%rax
- lea 64(%rsp,$num,2),%rdx
- shr \$3+2,$num
- mov 40(%rsp),%rsi # restore %rsp
- jmp .Lsqr8x_zero
- .align 32
- .Lsqr8x_nox:
- ___
- $code.=<<___;
- call bn_sqr8x_internal # see x86_64-mont5 module
- pxor %xmm0,%xmm0
- lea 48(%rsp),%rax
- lea 64(%rsp,$num,2),%rdx
- shr \$3+2,$num
- mov 40(%rsp),%rsi # restore %rsp
- jmp .Lsqr8x_zero
- .align 32
- .Lsqr8x_zero:
- movdqa %xmm0,16*0(%rax) # wipe t
- movdqa %xmm0,16*1(%rax)
- movdqa %xmm0,16*2(%rax)
- movdqa %xmm0,16*3(%rax)
- lea 16*4(%rax),%rax
- movdqa %xmm0,16*0(%rdx) # wipe n
- movdqa %xmm0,16*1(%rdx)
- movdqa %xmm0,16*2(%rdx)
- movdqa %xmm0,16*3(%rdx)
- lea 16*4(%rdx),%rdx
- dec $num
- jnz .Lsqr8x_zero
- mov \$1,%rax
- mov -48(%rsi),%r15
- mov -40(%rsi),%r14
- mov -32(%rsi),%r13
- mov -24(%rsi),%r12
- mov -16(%rsi),%rbp
- mov -8(%rsi),%rbx
- lea (%rsi),%rsp
- .Lsqr8x_epilogue:
- ret
- .size bn_sqr8x_mont,.-bn_sqr8x_mont
- ___
- }}}
- if ($addx) {{{
- my $bp="%rdx"; # original value
- $code.=<<___;
- .type bn_mulx4x_mont,\@function,6
- .align 32
- bn_mulx4x_mont:
- .Lmulx4x_enter:
- mov %rsp,%rax
- push %rbx
- push %rbp
- push %r12
- push %r13
- push %r14
- push %r15
- shl \$3,${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+$num+8)
- lea ($bp,$num),%r10
- and \$-128,%rsp
- ##############################################################
- # 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 $num,48(%rsp) # inner counter
- jmp .Lmulx4x_body
- .align 32
- .Lmulx4x_body:
- ___
- my ($aptr, $bptr, $nptr, $tptr, $mi, $bi, $zero, $num)=
- ("%rsi","%rdi","%rcx","%rbx","%r8","%r9","%rbp","%rax");
- my $rptr=$bptr;
- $code.=<<___;
- lea 8($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),$zero # pull top-most carry
- adc %r15,%r14
- mov -8($nptr),$mi
- sbb %r15,%r15 # top-most carry
- mov %r14,-1*8($tptr)
- cmp 16(%rsp),$bptr
- jne .Lmulx4x_outer
- sub %r14,$mi # compare top-most words
- sbb $mi,$mi
- or $mi,%r15
- neg $num
- xor %rdx,%rdx
- mov 32(%rsp),$rptr # restore rp
- lea 64(%rsp),$tptr
- pxor %xmm0,%xmm0
- mov 0*8($nptr,$num),%r8
- mov 1*8($nptr,$num),%r9
- neg %r8
- jmp .Lmulx4x_sub_entry
- .align 32
- .Lmulx4x_sub:
- mov 0*8($nptr,$num),%r8
- mov 1*8($nptr,$num),%r9
- not %r8
- .Lmulx4x_sub_entry:
- mov 2*8($nptr,$num),%r10
- not %r9
- and %r15,%r8
- mov 3*8($nptr,$num),%r11
- not %r10
- and %r15,%r9
- not %r11
- and %r15,%r10
- and %r15,%r11
- neg %rdx # mov %rdx,%cf
- adc 0*8($tptr),%r8
- adc 1*8($tptr),%r9
- movdqa %xmm0,($tptr)
- adc 2*8($tptr),%r10
- adc 3*8($tptr),%r11
- movdqa %xmm0,16($tptr)
- lea 4*8($tptr),$tptr
- sbb %rdx,%rdx # mov %cf,%rdx
- mov %r8,0*8($rptr)
- mov %r9,1*8($rptr)
- mov %r10,2*8($rptr)
- mov %r11,3*8($rptr)
- lea 4*8($rptr),$rptr
- add \$32,$num
- jnz .Lmulx4x_sub
- mov 40(%rsp),%rsi # restore %rsp
- 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
- .Lmulx4x_epilogue:
- ret
- .size bn_mulx4x_mont,.-bn_mulx4x_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($context),%rbx # pull context->Rip
- mov 8($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
- mov 4(%r11),%r10d # HandlerData[1]
- lea (%rsi,%r10),%r10 # epilogue label
- cmp %r10,%rbx # context->Rip>=.Lsqr_epilogue
- jae .Lcommon_seh_tail
- mov 40(%rax),%rax # pull saved stack pointer
- 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_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:
- .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_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[]
- ___
- }
- print $code;
- close STDOUT;
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