X-Git-Url: https://git.openssl.org/gitweb/?p=openssl.git;a=blobdiff_plain;f=crypto%2Fbn%2Fasm%2Fx86_64-mont.pl;h=e82e451388c75c614268af98f0c8c3eed9600992;hp=c43b69592a5cea8ad021069be57db9c81090a5fd;hb=b9749432346f69b29d82070041e71b237d718ce7;hpb=61b05a00257636bfdea3f08c1e3ea0517f14fea3

diff --git a/crypto/bn/asm/x86_64-mont.pl b/crypto/bn/asm/x86_64-mont.pl
index c43b69592a..e82e451388 100755
--- a/crypto/bn/asm/x86_64-mont.pl
+++ b/crypto/bn/asm/x86_64-mont.pl
@@ -1,7 +1,7 @@
 #!/usr/bin/env perl
 
 # ====================================================================
-# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
+# 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/.
@@ -15,14 +15,63 @@
 # respectful 50%. It remains to be seen if loop unrolling and
 # dedicated squaring routine can provide further improvement...
 
-$output=shift;
+# July 2011.
+#
+# Add dedicated squaring procedure. Performance improvement varies
+# from platform to platform, but in average it's ~5%/15%/25%/33%
+# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
+
+# August 2011.
+#
+# Unroll and modulo-schedule inner loops in such manner that they
+# are "fallen through" for input lengths of 8, which is critical for
+# 1024-bit RSA *sign*. Average performance improvement in comparison
+# to *initial* version of this module from 2005 is ~0%/30%/40%/45%
+# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
+
+# June 2013.
+#
+# Optimize reduction in squaring procedure and improve 1024+-bit RSA
+# sign performance by 10-16% on Intel Sandy Bridge and later
+# (virtually same on non-Intel processors).
+
+# August 2013.
+#
+# Add MULX/ADOX/ADCX code path.
+
+$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 STDOUT,"| $^X $xlate $output";
+open OUT,"| \"$^X\" $xlate $flavour $output";
+*STDOUT=*OUT;
+
+if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1`
+		=~ /GNU assembler version ([2-9]\.[0-9]+)/) {
+	$addx = ($1>=2.23);
+}
+
+if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) &&
+	    `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) {
+	$addx = ($1>=2.10);
+}
+
+if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) &&
+	    `ml64 2>&1` =~ /Version ([0-9]+)\./) {
+	$addx = ($1>=12);
+}
+
+if (!$addx && `$ENV{CC} -v 2>&1` =~ /((?:^clang|LLVM) version|.*based on LLVM) ([3-9])\.([0-9]+)/) {
+	my $ver = $2 + $3/100.0;	# 3.1->3.01, 3.10->3.10
+	$addx = ($ver>=3.03);
+}
 
 # int bn_mul_mont(
 $rp="%rdi";	# BN_ULONG *rp,
@@ -33,7 +82,6 @@ $n0="%r8";	# const BN_ULONG *n0,
 $num="%r9";	# int num);
 $lo0="%r10";
 $hi0="%r11";
-$bp="%r12";	# reassign $bp
 $hi1="%r13";
 $i="%r14";
 $j="%r15";
@@ -43,10 +91,29 @@ $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
@@ -55,54 +122,73 @@ bn_mul_mont:
 	push	%r15
 
 	mov	${num}d,${num}d
-	lea	2($num),%rax
-	mov	%rsp,%rbp
-	neg	%rax
-	lea	(%rsp,%rax,8),%rsp	# tp=alloca(8*(num+2))
+	lea	2($num),%r10
+	mov	%rsp,%r11
+	neg	%r10
+	lea	(%rsp,%r10,8),%rsp	# tp=alloca(8*(num+2))
 	and	\$-1024,%rsp		# minimize TLB usage
 
-	mov	%rbp,8(%rsp,$num,8)	# tp[num+1]=%rsp
-	mov	%rdx,$bp		# $bp reassigned, remember?
-
+	mov	%r11,8(%rsp,$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	($bp),$m0		# m0=bp[0]
-	mov	($ap),%rax
+	mov	$n0,$m1
 	mulq	$m0			# ap[0]*bp[0]
 	mov	%rax,$lo0
-	mov	%rdx,$hi0
+	mov	($np),%rax
 
-	imulq	$n0,%rax		# "tp[0]"*n0
-	mov	%rax,$m1
+	imulq	$lo0,$m1		# "tp[0]"*n0
+	mov	%rdx,$hi0
 
-	mulq	($np)			# np[0]*m1
-	add	$lo0,%rax		# discarded
+	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
-	mulq	$m0			# ap[j]*bp[0]
-	add	$hi0,%rax
 	adc	\$0,%rdx
-	mov	%rax,$lo0
+	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
-	mov	%rdx,$hi0
+	adc	\$0,%rdx
+	lea	1($j),$j		# j++
+	mov	%rdx,$lo0
 
 	mulq	$m1			# np[j]*m1
-	add	$hi1,%rax
-	lea	1($j),$j		# j++
+	cmp	$num,$j
+	jne	.L1st
+
+	add	%rax,$hi1
+	mov	($ap),%rax		# ap[0]
 	adc	\$0,%rdx
-	add	$lo0,%rax		# np[j]*m1+ap[j]*bp[0]
+	add	$hi0,$hi1		# np[j]*m1+ap[j]*bp[0]
 	adc	\$0,%rdx
-	mov	%rax,-16(%rsp,$j,8)	# tp[j-1]
-	cmp	$num,$j
+	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
 	mov	%rdx,$hi1
-	jl	.L1st
+	mov	$lo0,$hi0
 
 	xor	%rdx,%rdx
 	add	$hi0,$hi1
@@ -111,50 +197,64 @@ bn_mul_mont:
 	mov	%rdx,(%rsp,$num,8)	# store upmost overflow bit
 
 	lea	1($i),$i		# i++
-.align	4
+	jmp	.Louter
+.align	16
 .Louter:
-	xor	$j,$j			# j=0
-
 	mov	($bp,$i,8),$m0		# m0=bp[i]
-	mov	($ap),%rax		# ap[0]
+	xor	$j,$j			# j=0
+	mov	$n0,$m1
+	mov	(%rsp),$lo0
 	mulq	$m0			# ap[0]*bp[i]
-	add	(%rsp),%rax		# ap[0]*bp[i]+tp[0]
+	add	%rax,$lo0		# ap[0]*bp[i]+tp[0]
+	mov	($np),%rax
 	adc	\$0,%rdx
-	mov	%rax,$lo0
-	mov	%rdx,$hi0
 
-	imulq	$n0,%rax		# tp[0]*n0
-	mov	%rax,$m1
+	imulq	$lo0,$m1		# tp[0]*n0
+	mov	%rdx,$hi0
 
-	mulq	($np,$j,8)		# np[0]*m1
-	add	$lo0,%rax		# discarded
-	mov	8(%rsp),$lo0		# tp[1]
+	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++
-.align	4
+	jmp	.Linner_enter
+
+.align	16
 .Linner:
+	add	%rax,$hi1
 	mov	($ap,$j,8),%rax
-	mulq	$m0			# ap[j]*bp[i]
-	add	$hi0,%rax
 	adc	\$0,%rdx
-	add	%rax,$lo0		# ap[j]*bp[i]+tp[j]
+	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
-	add	$hi1,%rax
-	lea	1($j),$j		# j++
-	adc	\$0,%rdx
-	add	$lo0,%rax		# np[j]*m1+ap[j]*bp[i]+tp[j]
+	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
-	cmp	$num,$j
-	mov	%rax,-16(%rsp,$j,8)	# tp[j-1]
+	adc	\$0,%rdx
+	mov	$hi1,-16(%rsp,$j,8)	# tp[j-1]
 	mov	%rdx,$hi1
-	jl	.Linner
 
 	xor	%rdx,%rdx
 	add	$hi0,$hi1
@@ -166,49 +266,1142 @@ bn_mul_mont:
 
 	lea	1($i),$i		# i++
 	cmp	$num,$i
-	jl	.Louter
-
-	lea	(%rsp),$ap		# borrow ap for tp
-	lea	-1($num),$j		# j=num-1
+	jb	.Louter
 
-	mov	($ap),%rax		# tp[0]
 	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]
-	dec	$j			# doesn't affect CF!
 	mov	8($ap,$i,8),%rax	# tp[i+1]
 	lea	1($i),$i		# i++
-	jge	.Lsub
+	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,$np
-	lea	-1($num),$j
+	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
-	mov	%rax,($rp,$j,8)		# rp[i]=tp[i]
-	mov	$i,(%rsp,$j,8)		# zap temporary vector
+	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
-	jge	.Lcopy
+	jnz	.Lcopy4x
 
-	mov	8(%rsp,$num,8),%rsp	# restore %rsp
+	shl	\$2,$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	$disp,%rsi
+	xor	%rcx,%rcx		# arg1, UNW_FLAG_NHANDLER
+	mov	8(%rsi),%rdx		# arg2, disp->ImageBase
+	mov	0(%rsi),%r8		# arg3, disp->ControlPc
+	mov	16(%rsi),%r9		# arg4, disp->FunctionEntry
+	mov	40(%rsi),%r10		# disp->ContextRecord
+	lea	56(%rsi),%r11		# &disp->HandlerData
+	lea	24(%rsi),%r12		# &disp->EstablisherFrame
+	mov	%r10,32(%rsp)		# arg5
+	mov	%r11,40(%rsp)		# arg6
+	mov	%r12,48(%rsp)		# arg7
+	mov	%rcx,56(%rsp)		# arg8, (NULL)
+	call	*__imp_RtlVirtualUnwind(%rip)
+
+	mov	\$1,%eax		# ExceptionContinueSearch
+	add	\$64,%rsp
+	popfq
 	pop	%r15
 	pop	%r14
 	pop	%r13
 	pop	%r12
 	pop	%rbp
 	pop	%rbx
+	pop	%rdi
+	pop	%rsi
 	ret
-.size	bn_mul_mont,.-bn_mul_mont
-.asciz	"Montgomery Multiplication for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
+.size	sqr_handler,.-sqr_handler
+
+.section	.pdata
+.align	4
+	.rva	.LSEH_begin_bn_mul_mont
+	.rva	.LSEH_end_bn_mul_mont
+	.rva	.LSEH_info_bn_mul_mont
+
+	.rva	.LSEH_begin_bn_mul4x_mont
+	.rva	.LSEH_end_bn_mul4x_mont
+	.rva	.LSEH_info_bn_mul4x_mont
+
+	.rva	.LSEH_begin_bn_sqr8x_mont
+	.rva	.LSEH_end_bn_sqr8x_mont
+	.rva	.LSEH_info_bn_sqr8x_mont
+___
+$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;