Update to openssl-1.0.1

1 files changed, 1070 insertions, 0 deletions

diff --git a/openssl/crypto/bn/asm/x86_64-mont5.pl b/openssl/crypto/bn/asm/x86_64-mont5.pl
new file mode 100644
index 000000000..057cda28a
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86_64-mont5.pl
@@ -0,0 +1,1070 @@
+#!/usr/bin/env perl
+
+# ====================================================================
+# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
+# project. The module is, however, dual licensed under OpenSSL and
+# CRYPTOGAMS licenses depending on where you obtain it. For further
+# details see http://www.openssl.org/~appro/cryptogams/.
+# ====================================================================
+
+# August 2011.
+#
+# Companion to x86_64-mont.pl that optimizes cache-timing attack
+# countermeasures. The subroutines are produced by replacing bp[i]
+# references in their x86_64-mont.pl counterparts with cache-neutral
+# references to powers table computed in BN_mod_exp_mont_consttime.
+# In addition subroutine that scatters elements of the powers table
+# is implemented, so that scatter-/gathering can be tuned without
+# bn_exp.c modifications.
+
+$flavour = shift;
+$output  = shift;
+if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
+
+$win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/);
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or
+( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or
+die "can't locate x86_64-xlate.pl";
+
+open STDOUT,"| $^X $xlate $flavour $output";
+
+# int bn_mul_mont_gather5(
+$rp="%rdi";	# BN_ULONG *rp,
+$ap="%rsi";	# const BN_ULONG *ap,
+$bp="%rdx";	# const BN_ULONG *bp,
+$np="%rcx";	# const BN_ULONG *np,
+$n0="%r8";	# const BN_ULONG *n0,
+$num="%r9";	# int num,
+		# int idx);	# 0 to 2^5-1, "index" in $bp holding
+				# pre-computed powers of a', interlaced
+				# in such manner that b[0] is $bp[idx],
+				# b[1] is [2^5+idx], etc.
+$lo0="%r10";
+$hi0="%r11";
+$hi1="%r13";
+$i="%r14";
+$j="%r15";
+$m0="%rbx";
+$m1="%rbp";
+
+$code=<<___;
+.text
+
+.globl	bn_mul_mont_gather5
+.type	bn_mul_mont_gather5,\@function,6
+.align	64
+bn_mul_mont_gather5:
+	test	\$3,${num}d
+	jnz	.Lmul_enter
+	cmp	\$8,${num}d
+	jb	.Lmul_enter
+	jmp	.Lmul4x_enter
+
+.align	16
+.Lmul_enter:
+	mov	${num}d,${num}d
+	mov	`($win64?56:8)`(%rsp),%r10d	# load 7th argument
+	push	%rbx
+	push	%rbp
+	push	%r12
+	push	%r13
+	push	%r14
+	push	%r15
+___
+$code.=<<___ if ($win64);
+	lea	-0x28(%rsp),%rsp
+	movaps	%xmm6,(%rsp)
+	movaps	%xmm7,0x10(%rsp)
+.Lmul_alloca:
+___
+$code.=<<___;
+	mov	%rsp,%rax
+	lea	2($num),%r11
+	neg	%r11
+	lea	(%rsp,%r11,8),%rsp	# tp=alloca(8*(num+2))
+	and	\$-1024,%rsp		# minimize TLB usage
+
+	mov	%rax,8(%rsp,$num,8)	# tp[num+1]=%rsp
+.Lmul_body:
+	mov	$bp,%r12		# reassign $bp
+___
+		$bp="%r12";
+		$STRIDE=2**5*8;		# 5 is "window size"
+		$N=$STRIDE/4;		# should match cache line size
+$code.=<<___;
+	mov	%r10,%r11
+	shr	\$`log($N/8)/log(2)`,%r10
+	and	\$`$N/8-1`,%r11
+	not	%r10
+	lea	.Lmagic_masks(%rip),%rax
+	and	\$`2**5/($N/8)-1`,%r10	# 5 is "window size"
+	lea	96($bp,%r11,8),$bp	# pointer within 1st cache line
+	movq	0(%rax,%r10,8),%xmm4	# set of masks denoting which
+	movq	8(%rax,%r10,8),%xmm5	# cache line contains element
+	movq	16(%rax,%r10,8),%xmm6	# denoted by 7th argument
+	movq	24(%rax,%r10,8),%xmm7
+
+	movq	`0*$STRIDE/4-96`($bp),%xmm0
+	movq	`1*$STRIDE/4-96`($bp),%xmm1
+	pand	%xmm4,%xmm0
+	movq	`2*$STRIDE/4-96`($bp),%xmm2
+	pand	%xmm5,%xmm1
+	movq	`3*$STRIDE/4-96`($bp),%xmm3
+	pand	%xmm6,%xmm2
+	por	%xmm1,%xmm0
+	pand	%xmm7,%xmm3
+	por	%xmm2,%xmm0
+	lea	$STRIDE($bp),$bp
+	por	%xmm3,%xmm0
+
+	movq	%xmm0,$m0		# m0=bp[0]
+
+	mov	($n0),$n0		# pull n0[0] value
+	mov	($ap),%rax
+
+	xor	$i,$i			# i=0
+	xor	$j,$j			# j=0
+
+	movq	`0*$STRIDE/4-96`($bp),%xmm0
+	movq	`1*$STRIDE/4-96`($bp),%xmm1
+	pand	%xmm4,%xmm0
+	movq	`2*$STRIDE/4-96`($bp),%xmm2
+	pand	%xmm5,%xmm1
+
+	mov	$n0,$m1
+	mulq	$m0			# ap[0]*bp[0]
+	mov	%rax,$lo0
+	mov	($np),%rax
+
+	movq	`3*$STRIDE/4-96`($bp),%xmm3
+	pand	%xmm6,%xmm2
+	por	%xmm1,%xmm0
+	pand	%xmm7,%xmm3
+
+	imulq	$lo0,$m1		# "tp[0]"*n0
+	mov	%rdx,$hi0
+
+	por	%xmm2,%xmm0
+	lea	$STRIDE($bp),$bp
+	por	%xmm3,%xmm0
+
+	mulq	$m1			# np[0]*m1
+	add	%rax,$lo0		# discarded
+	mov	8($ap),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$hi1
+
+	lea	1($j),$j		# j++
+	jmp	.L1st_enter
+
+.align	16
+.L1st:
+	add	%rax,$hi1
+	mov	($ap,$j,8),%rax
+	adc	\$0,%rdx
+	add	$hi0,$hi1		# np[j]*m1+ap[j]*bp[0]
+	mov	$lo0,$hi0
+	adc	\$0,%rdx
+	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$hi1
+
+.L1st_enter:
+	mulq	$m0			# ap[j]*bp[0]
+	add	%rax,$hi0
+	mov	($np,$j,8),%rax
+	adc	\$0,%rdx
+	lea	1($j),$j		# j++
+	mov	%rdx,$lo0
+
+	mulq	$m1			# np[j]*m1
+	cmp	$num,$j
+	jne	.L1st
+
+	movq	%xmm0,$m0		# bp[1]
+
+	add	%rax,$hi1
+	mov	($ap),%rax		# ap[0]
+	adc	\$0,%rdx
+	add	$hi0,$hi1		# np[j]*m1+ap[j]*bp[0]
+	adc	\$0,%rdx
+	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$hi1
+	mov	$lo0,$hi0
+
+	xor	%rdx,%rdx
+	add	$hi0,$hi1
+	adc	\$0,%rdx
+	mov	$hi1,-8(%rsp,$num,8)
+	mov	%rdx,(%rsp,$num,8)	# store upmost overflow bit
+
+	lea	1($i),$i		# i++
+	jmp	.Louter
+.align	16
+.Louter:
+	xor	$j,$j			# j=0
+	mov	$n0,$m1
+	mov	(%rsp),$lo0
+
+	movq	`0*$STRIDE/4-96`($bp),%xmm0
+	movq	`1*$STRIDE/4-96`($bp),%xmm1
+	pand	%xmm4,%xmm0
+	movq	`2*$STRIDE/4-96`($bp),%xmm2
+	pand	%xmm5,%xmm1
+
+	mulq	$m0			# ap[0]*bp[i]
+	add	%rax,$lo0		# ap[0]*bp[i]+tp[0]
+	mov	($np),%rax
+	adc	\$0,%rdx
+
+	movq	`3*$STRIDE/4-96`($bp),%xmm3
+	pand	%xmm6,%xmm2
+	por	%xmm1,%xmm0
+	pand	%xmm7,%xmm3
+
+	imulq	$lo0,$m1		# tp[0]*n0
+	mov	%rdx,$hi0
+
+	por	%xmm2,%xmm0
+	lea	$STRIDE($bp),$bp
+	por	%xmm3,%xmm0
+
+	mulq	$m1			# np[0]*m1
+	add	%rax,$lo0		# discarded
+	mov	8($ap),%rax
+	adc	\$0,%rdx
+	mov	8(%rsp),$lo0		# tp[1]
+	mov	%rdx,$hi1
+
+	lea	1($j),$j		# j++
+	jmp	.Linner_enter
+
+.align	16
+.Linner:
+	add	%rax,$hi1
+	mov	($ap,$j,8),%rax
+	adc	\$0,%rdx
+	add	$lo0,$hi1		# np[j]*m1+ap[j]*bp[i]+tp[j]
+	mov	(%rsp,$j,8),$lo0
+	adc	\$0,%rdx
+	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$hi1
+
+.Linner_enter:
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$hi0
+	mov	($np,$j,8),%rax
+	adc	\$0,%rdx
+	add	$hi0,$lo0		# ap[j]*bp[i]+tp[j]
+	mov	%rdx,$hi0
+	adc	\$0,$hi0
+	lea	1($j),$j		# j++
+
+	mulq	$m1			# np[j]*m1
+	cmp	$num,$j
+	jne	.Linner
+
+	movq	%xmm0,$m0		# bp[i+1]
+
+	add	%rax,$hi1
+	mov	($ap),%rax		# ap[0]
+	adc	\$0,%rdx
+	add	$lo0,$hi1		# np[j]*m1+ap[j]*bp[i]+tp[j]
+	mov	(%rsp,$j,8),$lo0
+	adc	\$0,%rdx
+	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$hi1
+
+	xor	%rdx,%rdx
+	add	$hi0,$hi1
+	adc	\$0,%rdx
+	add	$lo0,$hi1		# pull upmost overflow bit
+	adc	\$0,%rdx
+	mov	$hi1,-8(%rsp,$num,8)
+	mov	%rdx,(%rsp,$num,8)	# store upmost overflow bit
+
+	lea	1($i),$i		# i++
+	cmp	$num,$i
+	jl	.Louter
+
+	xor	$i,$i			# i=0 and clear CF!
+	mov	(%rsp),%rax		# tp[0]
+	lea	(%rsp),$ap		# borrow ap for tp
+	mov	$num,$j			# j=num
+	jmp	.Lsub
+.align	16
+.Lsub:	sbb	($np,$i,8),%rax
+	mov	%rax,($rp,$i,8)		# rp[i]=tp[i]-np[i]
+	mov	8($ap,$i,8),%rax	# tp[i+1]
+	lea	1($i),$i		# i++
+	dec	$j			# doesnn't affect CF!
+	jnz	.Lsub
+
+	sbb	\$0,%rax		# handle upmost overflow bit
+	xor	$i,$i
+	and	%rax,$ap
+	not	%rax
+	mov	$rp,$np
+	and	%rax,$np
+	mov	$num,$j			# j=num
+	or	$np,$ap			# ap=borrow?tp:rp
+.align	16
+.Lcopy:					# copy or in-place refresh
+	mov	($ap,$i,8),%rax
+	mov	$i,(%rsp,$i,8)		# zap temporary vector
+	mov	%rax,($rp,$i,8)		# rp[i]=tp[i]
+	lea	1($i),$i
+	sub	\$1,$j
+	jnz	.Lcopy
+
+	mov	8(%rsp,$num,8),%rsi	# restore %rsp
+	mov	\$1,%rax
+___
+$code.=<<___ if ($win64);
+	movaps	(%rsi),%xmm6
+	movaps	0x10(%rsi),%xmm7
+	lea	0x28(%rsi),%rsi
+___
+$code.=<<___;
+	mov	(%rsi),%r15
+	mov	8(%rsi),%r14
+	mov	16(%rsi),%r13
+	mov	24(%rsi),%r12
+	mov	32(%rsi),%rbp
+	mov	40(%rsi),%rbx
+	lea	48(%rsi),%rsp
+.Lmul_epilogue:
+	ret
+.size	bn_mul_mont_gather5,.-bn_mul_mont_gather5
+___
+{{{
+my @A=("%r10","%r11");
+my @N=("%r13","%rdi");
+$code.=<<___;
+.type	bn_mul4x_mont_gather5,\@function,6
+.align	16
+bn_mul4x_mont_gather5:
+.Lmul4x_enter:
+	mov	${num}d,${num}d
+	mov	`($win64?56:8)`(%rsp),%r10d	# load 7th argument
+	push	%rbx
+	push	%rbp
+	push	%r12
+	push	%r13
+	push	%r14
+	push	%r15
+___
+$code.=<<___ if ($win64);
+	lea	-0x28(%rsp),%rsp
+	movaps	%xmm6,(%rsp)
+	movaps	%xmm7,0x10(%rsp)
+.Lmul4x_alloca:
+___
+$code.=<<___;
+	mov	%rsp,%rax
+	lea	4($num),%r11
+	neg	%r11
+	lea	(%rsp,%r11,8),%rsp	# tp=alloca(8*(num+4))
+	and	\$-1024,%rsp		# minimize TLB usage
+
+	mov	%rax,8(%rsp,$num,8)	# tp[num+1]=%rsp
+.Lmul4x_body:
+	mov	$rp,16(%rsp,$num,8)	# tp[num+2]=$rp
+	mov	%rdx,%r12		# reassign $bp
+___
+		$bp="%r12";
+		$STRIDE=2**5*8;		# 5 is "window size"
+		$N=$STRIDE/4;		# should match cache line size
+$code.=<<___;
+	mov	%r10,%r11
+	shr	\$`log($N/8)/log(2)`,%r10
+	and	\$`$N/8-1`,%r11
+	not	%r10
+	lea	.Lmagic_masks(%rip),%rax
+	and	\$`2**5/($N/8)-1`,%r10	# 5 is "window size"
+	lea	96($bp,%r11,8),$bp	# pointer within 1st cache line
+	movq	0(%rax,%r10,8),%xmm4	# set of masks denoting which
+	movq	8(%rax,%r10,8),%xmm5	# cache line contains element
+	movq	16(%rax,%r10,8),%xmm6	# denoted by 7th argument
+	movq	24(%rax,%r10,8),%xmm7
+
+	movq	`0*$STRIDE/4-96`($bp),%xmm0
+	movq	`1*$STRIDE/4-96`($bp),%xmm1
+	pand	%xmm4,%xmm0
+	movq	`2*$STRIDE/4-96`($bp),%xmm2
+	pand	%xmm5,%xmm1
+	movq	`3*$STRIDE/4-96`($bp),%xmm3
+	pand	%xmm6,%xmm2
+	por	%xmm1,%xmm0
+	pand	%xmm7,%xmm3
+	por	%xmm2,%xmm0
+	lea	$STRIDE($bp),$bp
+	por	%xmm3,%xmm0
+
+	movq	%xmm0,$m0		# m0=bp[0]
+	mov	($n0),$n0		# pull n0[0] value
+	mov	($ap),%rax
+
+	xor	$i,$i			# i=0
+	xor	$j,$j			# j=0
+
+	movq	`0*$STRIDE/4-96`($bp),%xmm0
+	movq	`1*$STRIDE/4-96`($bp),%xmm1
+	pand	%xmm4,%xmm0
+	movq	`2*$STRIDE/4-96`($bp),%xmm2
+	pand	%xmm5,%xmm1
+
+	mov	$n0,$m1
+	mulq	$m0			# ap[0]*bp[0]
+	mov	%rax,$A[0]
+	mov	($np),%rax
+
+	movq	`3*$STRIDE/4-96`($bp),%xmm3
+	pand	%xmm6,%xmm2
+	por	%xmm1,%xmm0
+	pand	%xmm7,%xmm3
+
+	imulq	$A[0],$m1		# "tp[0]"*n0
+	mov	%rdx,$A[1]
+
+	por	%xmm2,%xmm0
+	lea	$STRIDE($bp),$bp
+	por	%xmm3,%xmm0
+
+	mulq	$m1			# np[0]*m1
+	add	%rax,$A[0]		# discarded
+	mov	8($ap),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$N[1]
+
+	mulq	$m0
+	add	%rax,$A[1]
+	mov	8($np),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$A[0]
+
+	mulq	$m1
+	add	%rax,$N[1]
+	mov	16($ap),%rax
+	adc	\$0,%rdx
+	add	$A[1],$N[1]
+	lea	4($j),$j		# j++
+	adc	\$0,%rdx
+	mov	$N[1],(%rsp)
+	mov	%rdx,$N[0]
+	jmp	.L1st4x
+.align	16
+.L1st4x:
+	mulq	$m0			# ap[j]*bp[0]
+	add	%rax,$A[0]
+	mov	-16($np,$j,8),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$A[1]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[0]
+	mov	-8($ap,$j,8),%rax
+	adc	\$0,%rdx
+	add	$A[0],$N[0]		# np[j]*m1+ap[j]*bp[0]
+	adc	\$0,%rdx
+	mov	$N[0],-24(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[0]
+	add	%rax,$A[1]
+	mov	-8($np,$j,8),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	($ap,$j,8),%rax
+	adc	\$0,%rdx
+	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[0]
+	adc	\$0,%rdx
+	mov	$N[1],-16(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$N[0]
+
+	mulq	$m0			# ap[j]*bp[0]
+	add	%rax,$A[0]
+	mov	($np,$j,8),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$A[1]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[0]
+	mov	8($ap,$j,8),%rax
+	adc	\$0,%rdx
+	add	$A[0],$N[0]		# np[j]*m1+ap[j]*bp[0]
+	adc	\$0,%rdx
+	mov	$N[0],-8(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[0]
+	add	%rax,$A[1]
+	mov	8($np,$j,8),%rax
+	adc	\$0,%rdx
+	lea	4($j),$j		# j++
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	-16($ap,$j,8),%rax
+	adc	\$0,%rdx
+	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[0]
+	adc	\$0,%rdx
+	mov	$N[1],-32(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$N[0]
+	cmp	$num,$j
+	jl	.L1st4x
+
+	mulq	$m0			# ap[j]*bp[0]
+	add	%rax,$A[0]
+	mov	-16($np,$j,8),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$A[1]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[0]
+	mov	-8($ap,$j,8),%rax
+	adc	\$0,%rdx
+	add	$A[0],$N[0]		# np[j]*m1+ap[j]*bp[0]
+	adc	\$0,%rdx
+	mov	$N[0],-24(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[0]
+	add	%rax,$A[1]
+	mov	-8($np,$j,8),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	($ap),%rax		# ap[0]
+	adc	\$0,%rdx
+	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[0]
+	adc	\$0,%rdx
+	mov	$N[1],-16(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$N[0]
+
+	movq	%xmm0,$m0		# bp[1]
+
+	xor	$N[1],$N[1]
+	add	$A[0],$N[0]
+	adc	\$0,$N[1]
+	mov	$N[0],-8(%rsp,$j,8)
+	mov	$N[1],(%rsp,$j,8)	# store upmost overflow bit
+
+	lea	1($i),$i		# i++
+.align	4
+.Louter4x:
+	xor	$j,$j			# j=0
+	movq	`0*$STRIDE/4-96`($bp),%xmm0
+	movq	`1*$STRIDE/4-96`($bp),%xmm1
+	pand	%xmm4,%xmm0
+	movq	`2*$STRIDE/4-96`($bp),%xmm2
+	pand	%xmm5,%xmm1
+
+	mov	(%rsp),$A[0]
+	mov	$n0,$m1
+	mulq	$m0			# ap[0]*bp[i]
+	add	%rax,$A[0]		# ap[0]*bp[i]+tp[0]
+	mov	($np),%rax
+	adc	\$0,%rdx
+
+	movq	`3*$STRIDE/4-96`($bp),%xmm3
+	pand	%xmm6,%xmm2
+	por	%xmm1,%xmm0
+	pand	%xmm7,%xmm3
+
+	imulq	$A[0],$m1		# tp[0]*n0
+	mov	%rdx,$A[1]
+
+	por	%xmm2,%xmm0
+	lea	$STRIDE($bp),$bp
+	por	%xmm3,%xmm0
+
+	mulq	$m1			# np[0]*m1
+	add	%rax,$A[0]		# "$N[0]", discarded
+	mov	8($ap),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[1]
+	mov	8($np),%rax
+	adc	\$0,%rdx
+	add	8(%rsp),$A[1]		# +tp[1]
+	adc	\$0,%rdx
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	16($ap),%rax
+	adc	\$0,%rdx
+	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[i]+tp[j]
+	lea	4($j),$j		# j+=2
+	adc	\$0,%rdx
+	mov	%rdx,$N[0]
+	jmp	.Linner4x
+.align	16
+.Linner4x:
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[0]
+	mov	-16($np,$j,8),%rax
+	adc	\$0,%rdx
+	add	-16(%rsp,$j,8),$A[0]	# ap[j]*bp[i]+tp[j]
+	adc	\$0,%rdx
+	mov	%rdx,$A[1]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[0]
+	mov	-8($ap,$j,8),%rax
+	adc	\$0,%rdx
+	add	$A[0],$N[0]
+	adc	\$0,%rdx
+	mov	$N[1],-32(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[1]
+	mov	-8($np,$j,8),%rax
+	adc	\$0,%rdx
+	add	-8(%rsp,$j,8),$A[1]
+	adc	\$0,%rdx
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	($ap,$j,8),%rax
+	adc	\$0,%rdx
+	add	$A[1],$N[1]
+	adc	\$0,%rdx
+	mov	$N[0],-24(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$N[0]
+
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[0]
+	mov	($np,$j,8),%rax
+	adc	\$0,%rdx
+	add	(%rsp,$j,8),$A[0]	# ap[j]*bp[i]+tp[j]
+	adc	\$0,%rdx
+	mov	%rdx,$A[1]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[0]
+	mov	8($ap,$j,8),%rax
+	adc	\$0,%rdx
+	add	$A[0],$N[0]
+	adc	\$0,%rdx
+	mov	$N[1],-16(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[1]
+	mov	8($np,$j,8),%rax
+	adc	\$0,%rdx
+	add	8(%rsp,$j,8),$A[1]
+	adc	\$0,%rdx
+	lea	4($j),$j		# j++
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	-16($ap,$j,8),%rax
+	adc	\$0,%rdx
+	add	$A[1],$N[1]
+	adc	\$0,%rdx
+	mov	$N[0],-40(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$N[0]
+	cmp	$num,$j
+	jl	.Linner4x
+
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[0]
+	mov	-16($np,$j,8),%rax
+	adc	\$0,%rdx
+	add	-16(%rsp,$j,8),$A[0]	# ap[j]*bp[i]+tp[j]
+	adc	\$0,%rdx
+	mov	%rdx,$A[1]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[0]
+	mov	-8($ap,$j,8),%rax
+	adc	\$0,%rdx
+	add	$A[0],$N[0]
+	adc	\$0,%rdx
+	mov	$N[1],-32(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[1]
+	mov	-8($np,$j,8),%rax
+	adc	\$0,%rdx
+	add	-8(%rsp,$j,8),$A[1]
+	adc	\$0,%rdx
+	lea	1($i),$i		# i++
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	($ap),%rax		# ap[0]
+	adc	\$0,%rdx
+	add	$A[1],$N[1]
+	adc	\$0,%rdx
+	mov	$N[0],-24(%rsp,$j,8)	# tp[j-1]
+	mov	%rdx,$N[0]
+
+	movq	%xmm0,$m0		# bp[i+1]
+	mov	$N[1],-16(%rsp,$j,8)	# tp[j-1]
+
+	xor	$N[1],$N[1]
+	add	$A[0],$N[0]
+	adc	\$0,$N[1]
+	add	(%rsp,$num,8),$N[0]	# pull upmost overflow bit
+	adc	\$0,$N[1]
+	mov	$N[0],-8(%rsp,$j,8)
+	mov	$N[1],(%rsp,$j,8)	# store upmost overflow bit
+
+	cmp	$num,$i
+	jl	.Louter4x
+___
+{
+my @ri=("%rax","%rdx",$m0,$m1);
+$code.=<<___;
+	mov	16(%rsp,$num,8),$rp	# restore $rp
+	mov	0(%rsp),@ri[0]		# tp[0]
+	pxor	%xmm0,%xmm0
+	mov	8(%rsp),@ri[1]		# tp[1]
+	shr	\$2,$num		# num/=4
+	lea	(%rsp),$ap		# borrow ap for tp
+	xor	$i,$i			# i=0 and clear CF!
+
+	sub	0($np),@ri[0]
+	mov	16($ap),@ri[2]		# tp[2]
+	mov	24($ap),@ri[3]		# tp[3]
+	sbb	8($np),@ri[1]
+	lea	-1($num),$j		# j=num/4-1
+	jmp	.Lsub4x
+.align	16
+.Lsub4x:
+	mov	@ri[0],0($rp,$i,8)	# rp[i]=tp[i]-np[i]
+	mov	@ri[1],8($rp,$i,8)	# rp[i]=tp[i]-np[i]
+	sbb	16($np,$i,8),@ri[2]
+	mov	32($ap,$i,8),@ri[0]	# tp[i+1]
+	mov	40($ap,$i,8),@ri[1]
+	sbb	24($np,$i,8),@ri[3]
+	mov	@ri[2],16($rp,$i,8)	# rp[i]=tp[i]-np[i]
+	mov	@ri[3],24($rp,$i,8)	# rp[i]=tp[i]-np[i]
+	sbb	32($np,$i,8),@ri[0]
+	mov	48($ap,$i,8),@ri[2]
+	mov	56($ap,$i,8),@ri[3]
+	sbb	40($np,$i,8),@ri[1]
+	lea	4($i),$i		# i++
+	dec	$j			# doesnn't affect CF!
+	jnz	.Lsub4x
+
+	mov	@ri[0],0($rp,$i,8)	# rp[i]=tp[i]-np[i]
+	mov	32($ap,$i,8),@ri[0]	# load overflow bit
+	sbb	16($np,$i,8),@ri[2]
+	mov	@ri[1],8($rp,$i,8)	# rp[i]=tp[i]-np[i]
+	sbb	24($np,$i,8),@ri[3]
+	mov	@ri[2],16($rp,$i,8)	# rp[i]=tp[i]-np[i]
+
+	sbb	\$0,@ri[0]		# handle upmost overflow bit
+	mov	@ri[3],24($rp,$i,8)	# rp[i]=tp[i]-np[i]
+	xor	$i,$i			# i=0
+	and	@ri[0],$ap
+	not	@ri[0]
+	mov	$rp,$np
+	and	@ri[0],$np
+	lea	-1($num),$j
+	or	$np,$ap			# ap=borrow?tp:rp
+
+	movdqu	($ap),%xmm1
+	movdqa	%xmm0,(%rsp)
+	movdqu	%xmm1,($rp)
+	jmp	.Lcopy4x
+.align	16
+.Lcopy4x:					# copy or in-place refresh
+	movdqu	16($ap,$i),%xmm2
+	movdqu	32($ap,$i),%xmm1
+	movdqa	%xmm0,16(%rsp,$i)
+	movdqu	%xmm2,16($rp,$i)
+	movdqa	%xmm0,32(%rsp,$i)
+	movdqu	%xmm1,32($rp,$i)
+	lea	32($i),$i
+	dec	$j
+	jnz	.Lcopy4x
+
+	shl	\$2,$num
+	movdqu	16($ap,$i),%xmm2
+	movdqa	%xmm0,16(%rsp,$i)
+	movdqu	%xmm2,16($rp,$i)
+___
+}
+$code.=<<___;
+	mov	8(%rsp,$num,8),%rsi	# restore %rsp
+	mov	\$1,%rax
+___
+$code.=<<___ if ($win64);
+	movaps	(%rsi),%xmm6
+	movaps	0x10(%rsi),%xmm7
+	lea	0x28(%rsi),%rsi
+___
+$code.=<<___;
+	mov	(%rsi),%r15
+	mov	8(%rsi),%r14
+	mov	16(%rsi),%r13
+	mov	24(%rsi),%r12
+	mov	32(%rsi),%rbp
+	mov	40(%rsi),%rbx
+	lea	48(%rsi),%rsp
+.Lmul4x_epilogue:
+	ret
+.size	bn_mul4x_mont_gather5,.-bn_mul4x_mont_gather5
+___
+}}}
+
+{
+my ($inp,$num,$tbl,$idx)=$win64?("%rcx","%rdx","%r8", "%r9") : # Win64 order
+				("%rdi","%rsi","%rdx","%rcx"); # Unix order
+my $out=$inp;
+my $STRIDE=2**5*8;
+my $N=$STRIDE/4;
+
+$code.=<<___;
+.globl	bn_scatter5
+.type	bn_scatter5,\@abi-omnipotent
+.align	16
+bn_scatter5:
+	cmp	\$0, $num
+	jz	.Lscatter_epilogue
+	lea	($tbl,$idx,8),$tbl
+.Lscatter:
+	mov	($inp),%rax
+	lea	8($inp),$inp
+	mov	%rax,($tbl)
+	lea	32*8($tbl),$tbl
+	sub	\$1,$num
+	jnz	.Lscatter
+.Lscatter_epilogue:
+	ret
+.size	bn_scatter5,.-bn_scatter5
+
+.globl	bn_gather5
+.type	bn_gather5,\@abi-omnipotent
+.align	16
+bn_gather5:
+___
+$code.=<<___ if ($win64);
+.LSEH_begin_bn_gather5:
+	# I can't trust assembler to use specific encoding:-(
+	.byte	0x48,0x83,0xec,0x28		#sub	\$0x28,%rsp
+	.byte	0x0f,0x29,0x34,0x24		#movaps	%xmm6,(%rsp)
+	.byte	0x0f,0x29,0x7c,0x24,0x10	#movdqa	%xmm7,0x10(%rsp)
+___
+$code.=<<___;
+	mov	$idx,%r11
+	shr	\$`log($N/8)/log(2)`,$idx
+	and	\$`$N/8-1`,%r11
+	not	$idx
+	lea	.Lmagic_masks(%rip),%rax
+	and	\$`2**5/($N/8)-1`,$idx	# 5 is "window size"
+	lea	96($tbl,%r11,8),$tbl	# pointer within 1st cache line
+	movq	0(%rax,$idx,8),%xmm4	# set of masks denoting which
+	movq	8(%rax,$idx,8),%xmm5	# cache line contains element
+	movq	16(%rax,$idx,8),%xmm6	# denoted by 7th argument
+	movq	24(%rax,$idx,8),%xmm7
+	jmp	.Lgather
+.align	16
+.Lgather:
+	movq	`0*$STRIDE/4-96`($tbl),%xmm0
+	movq	`1*$STRIDE/4-96`($tbl),%xmm1
+	pand	%xmm4,%xmm0
+	movq	`2*$STRIDE/4-96`($tbl),%xmm2
+	pand	%xmm5,%xmm1
+	movq	`3*$STRIDE/4-96`($tbl),%xmm3
+	pand	%xmm6,%xmm2
+	por	%xmm1,%xmm0
+	pand	%xmm7,%xmm3
+	por	%xmm2,%xmm0
+	lea	$STRIDE($tbl),$tbl
+	por	%xmm3,%xmm0
+
+	movq	%xmm0,($out)		# m0=bp[0]
+	lea	8($out),$out
+	sub	\$1,$num
+	jnz	.Lgather
+___
+$code.=<<___ if ($win64);
+	movaps	%xmm6,(%rsp)
+	movaps	%xmm7,0x10(%rsp)
+	lea	0x28(%rsp),%rsp
+___
+$code.=<<___;
+	ret
+.LSEH_end_bn_gather5:
+.size	bn_gather5,.-bn_gather5
+___
+}
+$code.=<<___;
+.align	64
+.Lmagic_masks:
+	.long	0,0, 0,0, 0,0, -1,-1
+	.long	0,0, 0,0, 0,0,  0,0
+.asciz	"Montgomery Multiplication with scatter/gather for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
+___
+
+# EXCEPTION_DISPOSITION handler (EXCEPTION_RECORD *rec,ULONG64 frame,
+#		CONTEXT *context,DISPATCHER_CONTEXT *disp)
+if ($win64) {
+$rec="%rcx";
+$frame="%rdx";
+$context="%r8";
+$disp="%r9";
+
+$code.=<<___;
+.extern	__imp_RtlVirtualUnwind
+.type	mul_handler,\@abi-omnipotent
+.align	16
+mul_handler:
+	push	%rsi
+	push	%rdi
+	push	%rbx
+	push	%rbp
+	push	%r12
+	push	%r13
+	push	%r14
+	push	%r15
+	pushfq
+	sub	\$64,%rsp
+
+	mov	120($context),%rax	# pull context->Rax
+	mov	248($context),%rbx	# pull context->Rip
+
+	mov	8($disp),%rsi		# disp->ImageBase
+	mov	56($disp),%r11		# disp->HandlerData
+
+	mov	0(%r11),%r10d		# HandlerData[0]
+	lea	(%rsi,%r10),%r10	# end of prologue label
+	cmp	%r10,%rbx		# context->Rip<end of prologue label
+	jb	.Lcommon_seh_tail
+
+	lea	`40+48`(%rax),%rax
+
+	mov	4(%r11),%r10d		# HandlerData[1]
+	lea	(%rsi,%r10),%r10	# end of alloca label
+	cmp	%r10,%rbx		# context->Rip<end of alloca label
+	jb	.Lcommon_seh_tail
+
+	mov	152($context),%rax	# pull context->Rsp
+
+	mov	8(%r11),%r10d		# HandlerData[2]
+	lea	(%rsi,%r10),%r10	# epilogue label
+	cmp	%r10,%rbx		# context->Rip>=epilogue label
+	jae	.Lcommon_seh_tail
+
+	mov	192($context),%r10	# pull $num
+	mov	8(%rax,%r10,8),%rax	# pull saved stack pointer
+
+	movaps	(%rax),%xmm0
+	movaps	16(%rax),%xmm1
+	lea	`40+48`(%rax),%rax
+
+	mov	-8(%rax),%rbx
+	mov	-16(%rax),%rbp
+	mov	-24(%rax),%r12
+	mov	-32(%rax),%r13
+	mov	-40(%rax),%r14
+	mov	-48(%rax),%r15
+	mov	%rbx,144($context)	# restore context->Rbx
+	mov	%rbp,160($context)	# restore context->Rbp
+	mov	%r12,216($context)	# restore context->R12
+	mov	%r13,224($context)	# restore context->R13
+	mov	%r14,232($context)	# restore context->R14
+	mov	%r15,240($context)	# restore context->R15
+	movups	%xmm0,512($context)	# restore context->Xmm6
+	movups	%xmm1,528($context)	# restore context->Xmm7
+
+.Lcommon_seh_tail:
+	mov	8(%rax),%rdi
+	mov	16(%rax),%rsi
+	mov	%rax,152($context)	# restore context->Rsp
+	mov	%rsi,168($context)	# restore context->Rsi
+	mov	%rdi,176($context)	# restore context->Rdi
+
+	mov	40($disp),%rdi		# disp->ContextRecord
+	mov	$context,%rsi		# context
+	mov	\$154,%ecx		# sizeof(CONTEXT)
+	.long	0xa548f3fc		# cld; rep movsq
+
+	mov	$disp,%rsi
+	xor	%rcx,%rcx		# arg1, UNW_FLAG_NHANDLER
+	mov	8(%rsi),%rdx		# arg2, disp->ImageBase
+	mov	0(%rsi),%r8		# arg3, disp->ControlPc
+	mov	16(%rsi),%r9		# arg4, disp->FunctionEntry
+	mov	40(%rsi),%r10		# disp->ContextRecord
+	lea	56(%rsi),%r11		# &disp->HandlerData
+	lea	24(%rsi),%r12		# &disp->EstablisherFrame
+	mov	%r10,32(%rsp)		# arg5
+	mov	%r11,40(%rsp)		# arg6
+	mov	%r12,48(%rsp)		# arg7
+	mov	%rcx,56(%rsp)		# arg8, (NULL)
+	call	*__imp_RtlVirtualUnwind(%rip)
+
+	mov	\$1,%eax		# ExceptionContinueSearch
+	add	\$64,%rsp
+	popfq
+	pop	%r15
+	pop	%r14
+	pop	%r13
+	pop	%r12
+	pop	%rbp
+	pop	%rbx
+	pop	%rdi
+	pop	%rsi
+	ret
+.size	mul_handler,.-mul_handler
+
+.section	.pdata
+.align	4
+	.rva	.LSEH_begin_bn_mul_mont_gather5
+	.rva	.LSEH_end_bn_mul_mont_gather5
+	.rva	.LSEH_info_bn_mul_mont_gather5
+
+	.rva	.LSEH_begin_bn_mul4x_mont_gather5
+	.rva	.LSEH_end_bn_mul4x_mont_gather5
+	.rva	.LSEH_info_bn_mul4x_mont_gather5
+
+	.rva	.LSEH_begin_bn_gather5
+	.rva	.LSEH_end_bn_gather5
+	.rva	.LSEH_info_bn_gather5
+
+.section	.xdata
+.align	8
+.LSEH_info_bn_mul_mont_gather5:
+	.byte	9,0,0,0
+	.rva	mul_handler
+	.rva	.Lmul_alloca,.Lmul_body,.Lmul_epilogue		# HandlerData[]
+.align	8
+.LSEH_info_bn_mul4x_mont_gather5:
+	.byte	9,0,0,0
+	.rva	mul_handler
+	.rva	.Lmul4x_alloca,.Lmul4x_body,.Lmul4x_epilogue	# HandlerData[]
+.align	8
+.LSEH_info_bn_gather5:
+        .byte   0x01,0x0d,0x05,0x00
+        .byte   0x0d,0x78,0x01,0x00	#movaps	0x10(rsp),xmm7
+        .byte   0x08,0x68,0x00,0x00	#movaps	(rsp),xmm6
+        .byte   0x04,0x42,0x00,0x00	#sub	rsp,0x28
+.align	8
+___
+}
+
+$code =~ s/\`([^\`]*)\`/eval($1)/gem;
+
+print $code;
+close STDOUT;