inital commit

1 files changed, 3818 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 100755
index 0000000..3bb0cdf
--- /dev/null
+++ b/openssl/crypto/bn/asm/x86_64-mont5.pl
@@ -0,0 +1,3818 @@
+#!/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.
+
+# August 2013.
+#
+# Add MULX/AD*X code paths and additional interfaces to optimize for
+# branch prediction unit. For input lengths that are multiples of 8
+# the np argument is not just modulus value, but one interleaved
+# with 0. This is to optimize post-condition...
+
+$flavour = shift;
+$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_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
+
+.extern	OPENSSL_ia32cap_P
+
+.globl	bn_mul_mont_gather5
+.type	bn_mul_mont_gather5,\@function,6
+.align	64
+bn_mul_mont_gather5:
+	mov	${num}d,${num}d
+	mov	%rsp,%rax
+	test	\$7,${num}d
+	jnz	.Lmul_enter
+___
+$code.=<<___ if ($addx);
+	mov	OPENSSL_ia32cap_P+8(%rip),%r11d
+___
+$code.=<<___;
+	jmp	.Lmul4x_enter
+
+.align	16
+.Lmul_enter:
+	movd	`($win64?56:8)`(%rsp),%xmm5	# load 7th argument
+	push	%rbx
+	push	%rbp
+	push	%r12
+	push	%r13
+	push	%r14
+	push	%r15
+
+	neg	$num
+	mov	%rsp,%r11
+	lea	-280(%rsp,$num,8),%r10	# future alloca(8*(num+2)+256+8)
+	neg	$num			# restore $num
+	and	\$-1024,%r10		# minimize TLB usage
+
+	# Some OSes, *cough*-dows, insist on stack being "wired" to
+	# physical memory in strictly sequential manner, i.e. if stack
+	# allocation spans two pages, then reference to farmost one can
+	# be punishable by SEGV. But page walking can do good even on
+	# other OSes, because it guarantees that villain thread hits
+	# the guard page before it can make damage to innocent one...
+	sub	%r10,%r11
+	and	\$-4096,%r11
+	lea	(%r10,%r11),%rsp
+	mov	(%rsp),%r11
+	cmp	%r10,%rsp
+	ja	.Lmul_page_walk
+	jmp	.Lmul_page_walk_done
+
+.Lmul_page_walk:
+	lea	-4096(%rsp),%rsp
+	mov	(%rsp),%r11
+	cmp	%r10,%rsp
+	ja	.Lmul_page_walk
+.Lmul_page_walk_done:
+
+	lea	.Linc(%rip),%r10
+	mov	%rax,8(%rsp,$num,8)	# tp[num+1]=%rsp
+.Lmul_body:
+
+	lea	128($bp),%r12		# reassign $bp (+size optimization)
+___
+		$bp="%r12";
+		$STRIDE=2**5*8;		# 5 is "window size"
+		$N=$STRIDE/4;		# should match cache line size
+$code.=<<___;
+	movdqa	0(%r10),%xmm0		# 00000001000000010000000000000000
+	movdqa	16(%r10),%xmm1		# 00000002000000020000000200000002
+	lea	24-112(%rsp,$num,8),%r10# place the mask after tp[num+3] (+ICache optimization)
+	and	\$-16,%r10
+
+	pshufd	\$0,%xmm5,%xmm5		# broadcast index
+	movdqa	%xmm1,%xmm4
+	movdqa	%xmm1,%xmm2
+___
+########################################################################
+# calculate mask by comparing 0..31 to index and save result to stack
+#
+$code.=<<___;
+	paddd	%xmm0,%xmm1
+	pcmpeqd	%xmm5,%xmm0		# compare to 1,0
+	.byte	0x67
+	movdqa	%xmm4,%xmm3
+___
+for($k=0;$k<$STRIDE/16-4;$k+=4) {
+$code.=<<___;
+	paddd	%xmm1,%xmm2
+	pcmpeqd	%xmm5,%xmm1		# compare to 3,2
+	movdqa	%xmm0,`16*($k+0)+112`(%r10)
+	movdqa	%xmm4,%xmm0
+
+	paddd	%xmm2,%xmm3
+	pcmpeqd	%xmm5,%xmm2		# compare to 5,4
+	movdqa	%xmm1,`16*($k+1)+112`(%r10)
+	movdqa	%xmm4,%xmm1
+
+	paddd	%xmm3,%xmm0
+	pcmpeqd	%xmm5,%xmm3		# compare to 7,6
+	movdqa	%xmm2,`16*($k+2)+112`(%r10)
+	movdqa	%xmm4,%xmm2
+
+	paddd	%xmm0,%xmm1
+	pcmpeqd	%xmm5,%xmm0
+	movdqa	%xmm3,`16*($k+3)+112`(%r10)
+	movdqa	%xmm4,%xmm3
+___
+}
+$code.=<<___;				# last iteration can be optimized
+	paddd	%xmm1,%xmm2
+	pcmpeqd	%xmm5,%xmm1
+	movdqa	%xmm0,`16*($k+0)+112`(%r10)
+
+	paddd	%xmm2,%xmm3
+	.byte	0x67
+	pcmpeqd	%xmm5,%xmm2
+	movdqa	%xmm1,`16*($k+1)+112`(%r10)
+
+	pcmpeqd	%xmm5,%xmm3
+	movdqa	%xmm2,`16*($k+2)+112`(%r10)
+	pand	`16*($k+0)-128`($bp),%xmm0	# while it's still in register
+
+	pand	`16*($k+1)-128`($bp),%xmm1
+	pand	`16*($k+2)-128`($bp),%xmm2
+	movdqa	%xmm3,`16*($k+3)+112`(%r10)
+	pand	`16*($k+3)-128`($bp),%xmm3
+	por	%xmm2,%xmm0
+	por	%xmm3,%xmm1
+___
+for($k=0;$k<$STRIDE/16-4;$k+=4) {
+$code.=<<___;
+	movdqa	`16*($k+0)-128`($bp),%xmm4
+	movdqa	`16*($k+1)-128`($bp),%xmm5
+	movdqa	`16*($k+2)-128`($bp),%xmm2
+	pand	`16*($k+0)+112`(%r10),%xmm4
+	movdqa	`16*($k+3)-128`($bp),%xmm3
+	pand	`16*($k+1)+112`(%r10),%xmm5
+	por	%xmm4,%xmm0
+	pand	`16*($k+2)+112`(%r10),%xmm2
+	por	%xmm5,%xmm1
+	pand	`16*($k+3)+112`(%r10),%xmm3
+	por	%xmm2,%xmm0
+	por	%xmm3,%xmm1
+___
+}
+$code.=<<___;
+	por	%xmm1,%xmm0
+	pshufd	\$0x4e,%xmm0,%xmm1
+	por	%xmm1,%xmm0
+	lea	$STRIDE($bp),$bp
+	movq	%xmm0,$m0		# m0=bp[0]
+
+	mov	($n0),$n0		# pull n0[0] value
+	mov	($ap),%rax
+
+	xor	$i,$i			# i=0
+	xor	$j,$j			# j=0
+
+	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			# note that upon exit $j==$num, so
+					# they can be used interchangeably
+
+	add	%rax,$hi1
+	adc	\$0,%rdx
+	add	$hi0,$hi1		# np[j]*m1+ap[j]*bp[0]
+	adc	\$0,%rdx
+	mov	$hi1,-16(%rsp,$num,8)	# tp[num-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),$i		# i++
+	jmp	.Louter
+.align	16
+.Louter:
+	lea	24+128(%rsp,$num,8),%rdx	# where 256-byte mask is (+size optimization)
+	and	\$-16,%rdx
+	pxor	%xmm4,%xmm4
+	pxor	%xmm5,%xmm5
+___
+for($k=0;$k<$STRIDE/16;$k+=4) {
+$code.=<<___;
+	movdqa	`16*($k+0)-128`($bp),%xmm0
+	movdqa	`16*($k+1)-128`($bp),%xmm1
+	movdqa	`16*($k+2)-128`($bp),%xmm2
+	movdqa	`16*($k+3)-128`($bp),%xmm3
+	pand	`16*($k+0)-128`(%rdx),%xmm0
+	pand	`16*($k+1)-128`(%rdx),%xmm1
+	por	%xmm0,%xmm4
+	pand	`16*($k+2)-128`(%rdx),%xmm2
+	por	%xmm1,%xmm5
+	pand	`16*($k+3)-128`(%rdx),%xmm3
+	por	%xmm2,%xmm4
+	por	%xmm3,%xmm5
+___
+}
+$code.=<<___;
+	por	%xmm5,%xmm4
+	pshufd	\$0x4e,%xmm4,%xmm0
+	por	%xmm4,%xmm0
+	lea	$STRIDE($bp),$bp
+
+	mov	($ap),%rax		# ap[0]
+	movq	%xmm0,$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			# note that upon exit $j==$num, so
+					# they can be used interchangeably
+	add	%rax,$hi1
+	adc	\$0,%rdx
+	add	$lo0,$hi1		# np[j]*m1+ap[j]*bp[i]+tp[j]
+	mov	(%rsp,$num,8),$lo0
+	adc	\$0,%rdx
+	mov	$hi1,-16(%rsp,$num,8)	# tp[num-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	-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
+.Lmul_epilogue:
+	ret
+.size	bn_mul_mont_gather5,.-bn_mul_mont_gather5
+___
+{{{
+my @A=("%r10","%r11");
+my @N=("%r13","%rdi");
+$code.=<<___;
+.type	bn_mul4x_mont_gather5,\@function,6
+.align	32
+bn_mul4x_mont_gather5:
+	.byte	0x67
+	mov	%rsp,%rax
+.Lmul4x_enter:
+___
+$code.=<<___ if ($addx);
+	and	\$0x80108,%r11d
+	cmp	\$0x80108,%r11d		# check for AD*X+BMI2+BMI1
+	je	.Lmulx4x_enter
+___
+$code.=<<___;
+	push	%rbx
+	push	%rbp
+	push	%r12
+	push	%r13
+	push	%r14
+	push	%r15
+.Lmul4x_prologue:
+
+	.byte	0x67
+	shl	\$3,${num}d		# convert $num to bytes
+	lea	($num,$num,2),%r10	# 3*$num in bytes
+	neg	$num			# -$num
+
+	##############################################################
+	# Ensure that stack frame doesn't alias with $rptr+3*$num
+	# modulo 4096, which covers ret[num], am[num] and n[num]
+	# (see bn_exp.c). This is done to allow memory disambiguation
+	# logic do its magic. [Extra [num] is allocated in order
+	# to align with bn_power5's frame, which is cleansed after
+	# completing exponentiation. Extra 256 bytes is for power mask
+	# calculated from 7th argument, the index.]
+	#
+	lea	-320(%rsp,$num,2),%r11
+	mov	%rsp,%rbp
+	sub	$rp,%r11
+	and	\$4095,%r11
+	cmp	%r11,%r10
+	jb	.Lmul4xsp_alt
+	sub	%r11,%rbp		# align with $rp
+	lea	-320(%rbp,$num,2),%rbp	# future alloca(frame+2*num*8+256)
+	jmp	.Lmul4xsp_done
+
+.align	32
+.Lmul4xsp_alt:
+	lea	4096-320(,$num,2),%r10
+	lea	-320(%rbp,$num,2),%rbp	# future alloca(frame+2*num*8+256)
+	sub	%r10,%r11
+	mov	\$0,%r10
+	cmovc	%r10,%r11
+	sub	%r11,%rbp
+.Lmul4xsp_done:
+	and	\$-64,%rbp
+	mov	%rsp,%r11
+	sub	%rbp,%r11
+	and	\$-4096,%r11
+	lea	(%rbp,%r11),%rsp
+	mov	(%rsp),%r10
+	cmp	%rbp,%rsp
+	ja	.Lmul4x_page_walk
+	jmp	.Lmul4x_page_walk_done
+
+.Lmul4x_page_walk:
+	lea	-4096(%rsp),%rsp
+	mov	(%rsp),%r10
+	cmp	%rbp,%rsp
+	ja	.Lmul4x_page_walk
+.Lmul4x_page_walk_done:
+
+	neg	$num
+
+	mov	%rax,40(%rsp)
+.Lmul4x_body:
+
+	call	mul4x_internal
+
+	mov	40(%rsp),%rsi		# restore %rsp
+	mov	\$1,%rax
+
+	mov	-48(%rsi),%r15
+	mov	-40(%rsi),%r14
+	mov	-32(%rsi),%r13
+	mov	-24(%rsi),%r12
+	mov	-16(%rsi),%rbp
+	mov	-8(%rsi),%rbx
+	lea	(%rsi),%rsp
+.Lmul4x_epilogue:
+	ret
+.size	bn_mul4x_mont_gather5,.-bn_mul4x_mont_gather5
+
+.type	mul4x_internal,\@abi-omnipotent
+.align	32
+mul4x_internal:
+	shl	\$5,$num		# $num was in bytes
+	movd	`($win64?56:8)`(%rax),%xmm5	# load 7th argument, index
+	lea	.Linc(%rip),%rax
+	lea	128(%rdx,$num),%r13	# end of powers table (+size optimization)
+	shr	\$5,$num		# restore $num
+___
+		$bp="%r12";
+		$STRIDE=2**5*8;		# 5 is "window size"
+		$N=$STRIDE/4;		# should match cache line size
+		$tp=$i;
+$code.=<<___;
+	movdqa	0(%rax),%xmm0		# 00000001000000010000000000000000
+	movdqa	16(%rax),%xmm1		# 00000002000000020000000200000002
+	lea	88-112(%rsp,$num),%r10	# place the mask after tp[num+1] (+ICache optimization)
+	lea	128(%rdx),$bp		# size optimization
+
+	pshufd	\$0,%xmm5,%xmm5		# broadcast index
+	movdqa	%xmm1,%xmm4
+	.byte	0x67,0x67
+	movdqa	%xmm1,%xmm2
+___
+########################################################################
+# calculate mask by comparing 0..31 to index and save result to stack
+#
+$code.=<<___;
+	paddd	%xmm0,%xmm1
+	pcmpeqd	%xmm5,%xmm0		# compare to 1,0
+	.byte	0x67
+	movdqa	%xmm4,%xmm3
+___
+for($i=0;$i<$STRIDE/16-4;$i+=4) {
+$code.=<<___;
+	paddd	%xmm1,%xmm2
+	pcmpeqd	%xmm5,%xmm1		# compare to 3,2
+	movdqa	%xmm0,`16*($i+0)+112`(%r10)
+	movdqa	%xmm4,%xmm0
+
+	paddd	%xmm2,%xmm3
+	pcmpeqd	%xmm5,%xmm2		# compare to 5,4
+	movdqa	%xmm1,`16*($i+1)+112`(%r10)
+	movdqa	%xmm4,%xmm1
+
+	paddd	%xmm3,%xmm0
+	pcmpeqd	%xmm5,%xmm3		# compare to 7,6
+	movdqa	%xmm2,`16*($i+2)+112`(%r10)
+	movdqa	%xmm4,%xmm2
+
+	paddd	%xmm0,%xmm1
+	pcmpeqd	%xmm5,%xmm0
+	movdqa	%xmm3,`16*($i+3)+112`(%r10)
+	movdqa	%xmm4,%xmm3
+___
+}
+$code.=<<___;				# last iteration can be optimized
+	paddd	%xmm1,%xmm2
+	pcmpeqd	%xmm5,%xmm1
+	movdqa	%xmm0,`16*($i+0)+112`(%r10)
+
+	paddd	%xmm2,%xmm3
+	.byte	0x67
+	pcmpeqd	%xmm5,%xmm2
+	movdqa	%xmm1,`16*($i+1)+112`(%r10)
+
+	pcmpeqd	%xmm5,%xmm3
+	movdqa	%xmm2,`16*($i+2)+112`(%r10)
+	pand	`16*($i+0)-128`($bp),%xmm0	# while it's still in register
+
+	pand	`16*($i+1)-128`($bp),%xmm1
+	pand	`16*($i+2)-128`($bp),%xmm2
+	movdqa	%xmm3,`16*($i+3)+112`(%r10)
+	pand	`16*($i+3)-128`($bp),%xmm3
+	por	%xmm2,%xmm0
+	por	%xmm3,%xmm1
+___
+for($i=0;$i<$STRIDE/16-4;$i+=4) {
+$code.=<<___;
+	movdqa	`16*($i+0)-128`($bp),%xmm4
+	movdqa	`16*($i+1)-128`($bp),%xmm5
+	movdqa	`16*($i+2)-128`($bp),%xmm2
+	pand	`16*($i+0)+112`(%r10),%xmm4
+	movdqa	`16*($i+3)-128`($bp),%xmm3
+	pand	`16*($i+1)+112`(%r10),%xmm5
+	por	%xmm4,%xmm0
+	pand	`16*($i+2)+112`(%r10),%xmm2
+	por	%xmm5,%xmm1
+	pand	`16*($i+3)+112`(%r10),%xmm3
+	por	%xmm2,%xmm0
+	por	%xmm3,%xmm1
+___
+}
+$code.=<<___;
+	por	%xmm1,%xmm0
+	pshufd	\$0x4e,%xmm0,%xmm1
+	por	%xmm1,%xmm0
+	lea	$STRIDE($bp),$bp
+	movq	%xmm0,$m0		# m0=bp[0]
+
+	mov	%r13,16+8(%rsp)		# save end of b[num]
+	mov	$rp, 56+8(%rsp)		# save $rp
+
+	mov	($n0),$n0		# pull n0[0] value
+	mov	($ap),%rax
+	lea	($ap,$num),$ap		# end of a[num]
+	neg	$num
+
+	mov	$n0,$m1
+	mulq	$m0			# ap[0]*bp[0]
+	mov	%rax,$A[0]
+	mov	($np),%rax
+
+	imulq	$A[0],$m1		# "tp[0]"*n0
+	lea	64+8(%rsp),$tp
+	mov	%rdx,$A[1]
+
+	mulq	$m1			# np[0]*m1
+	add	%rax,$A[0]		# discarded
+	mov	8($ap,$num),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$N[1]
+
+	mulq	$m0
+	add	%rax,$A[1]
+	mov	8*1($np),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$A[0]
+
+	mulq	$m1
+	add	%rax,$N[1]
+	mov	16($ap,$num),%rax
+	adc	\$0,%rdx
+	add	$A[1],$N[1]
+	lea	4*8($num),$j		# j=4
+	lea	8*4($np),$np
+	adc	\$0,%rdx
+	mov	$N[1],($tp)
+	mov	%rdx,$N[0]
+	jmp	.L1st4x
+
+.align	32
+.L1st4x:
+	mulq	$m0			# ap[j]*bp[0]
+	add	%rax,$A[0]
+	mov	-8*2($np),%rax
+	lea	32($tp),$tp
+	adc	\$0,%rdx
+	mov	%rdx,$A[1]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[0]
+	mov	-8($ap,$j),%rax
+	adc	\$0,%rdx
+	add	$A[0],$N[0]		# np[j]*m1+ap[j]*bp[0]
+	adc	\$0,%rdx
+	mov	$N[0],-24($tp)		# tp[j-1]
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[0]
+	add	%rax,$A[1]
+	mov	-8*1($np),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	($ap,$j),%rax
+	adc	\$0,%rdx
+	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[0]
+	adc	\$0,%rdx
+	mov	$N[1],-16($tp)		# tp[j-1]
+	mov	%rdx,$N[0]
+
+	mulq	$m0			# ap[j]*bp[0]
+	add	%rax,$A[0]
+	mov	8*0($np),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$A[1]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[0]
+	mov	8($ap,$j),%rax
+	adc	\$0,%rdx
+	add	$A[0],$N[0]		# np[j]*m1+ap[j]*bp[0]
+	adc	\$0,%rdx
+	mov	$N[0],-8($tp)		# tp[j-1]
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[0]
+	add	%rax,$A[1]
+	mov	8*1($np),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	16($ap,$j),%rax
+	adc	\$0,%rdx
+	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[0]
+	lea	8*4($np),$np
+	adc	\$0,%rdx
+	mov	$N[1],($tp)		# tp[j-1]
+	mov	%rdx,$N[0]
+
+	add	\$32,$j			# j+=4
+	jnz	.L1st4x
+
+	mulq	$m0			# ap[j]*bp[0]
+	add	%rax,$A[0]
+	mov	-8*2($np),%rax
+	lea	32($tp),$tp
+	adc	\$0,%rdx
+	mov	%rdx,$A[1]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[0]
+	mov	-8($ap),%rax
+	adc	\$0,%rdx
+	add	$A[0],$N[0]		# np[j]*m1+ap[j]*bp[0]
+	adc	\$0,%rdx
+	mov	$N[0],-24($tp)		# tp[j-1]
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[0]
+	add	%rax,$A[1]
+	mov	-8*1($np),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	($ap,$num),%rax		# ap[0]
+	adc	\$0,%rdx
+	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[0]
+	adc	\$0,%rdx
+	mov	$N[1],-16($tp)		# tp[j-1]
+	mov	%rdx,$N[0]
+
+	lea	($np,$num),$np		# rewind $np
+
+	xor	$N[1],$N[1]
+	add	$A[0],$N[0]
+	adc	\$0,$N[1]
+	mov	$N[0],-8($tp)
+
+	jmp	.Louter4x
+
+.align	32
+.Louter4x:
+	lea	16+128($tp),%rdx	# where 256-byte mask is (+size optimization)
+	pxor	%xmm4,%xmm4
+	pxor	%xmm5,%xmm5
+___
+for($i=0;$i<$STRIDE/16;$i+=4) {
+$code.=<<___;
+	movdqa	`16*($i+0)-128`($bp),%xmm0
+	movdqa	`16*($i+1)-128`($bp),%xmm1
+	movdqa	`16*($i+2)-128`($bp),%xmm2
+	movdqa	`16*($i+3)-128`($bp),%xmm3
+	pand	`16*($i+0)-128`(%rdx),%xmm0
+	pand	`16*($i+1)-128`(%rdx),%xmm1
+	por	%xmm0,%xmm4
+	pand	`16*($i+2)-128`(%rdx),%xmm2
+	por	%xmm1,%xmm5
+	pand	`16*($i+3)-128`(%rdx),%xmm3
+	por	%xmm2,%xmm4
+	por	%xmm3,%xmm5
+___
+}
+$code.=<<___;
+	por	%xmm5,%xmm4
+	pshufd	\$0x4e,%xmm4,%xmm0
+	por	%xmm4,%xmm0
+	lea	$STRIDE($bp),$bp
+	movq	%xmm0,$m0		# m0=bp[i]
+
+	mov	($tp,$num),$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]
+	mov	$N[1],($tp)		# store upmost overflow bit
+
+	lea	($tp,$num),$tp		# rewind $tp
+
+	mulq	$m1			# np[0]*m1
+	add	%rax,$A[0]		# "$N[0]", discarded
+	mov	8($ap,$num),%rax
+	adc	\$0,%rdx
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[1]
+	mov	8*1($np),%rax
+	adc	\$0,%rdx
+	add	8($tp),$A[1]		# +tp[1]
+	adc	\$0,%rdx
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	16($ap,$num),%rax
+	adc	\$0,%rdx
+	add	$A[1],$N[1]		# np[j]*m1+ap[j]*bp[i]+tp[j]
+	lea	4*8($num),$j		# j=4
+	lea	8*4($np),$np
+	adc	\$0,%rdx
+	mov	%rdx,$N[0]
+	jmp	.Linner4x
+
+.align	32
+.Linner4x:
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[0]
+	mov	-8*2($np),%rax
+	adc	\$0,%rdx
+	add	16($tp),$A[0]		# ap[j]*bp[i]+tp[j]
+	lea	32($tp),$tp
+	adc	\$0,%rdx
+	mov	%rdx,$A[1]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[0]
+	mov	-8($ap,$j),%rax
+	adc	\$0,%rdx
+	add	$A[0],$N[0]
+	adc	\$0,%rdx
+	mov	$N[1],-32($tp)		# tp[j-1]
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[1]
+	mov	-8*1($np),%rax
+	adc	\$0,%rdx
+	add	-8($tp),$A[1]
+	adc	\$0,%rdx
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	($ap,$j),%rax
+	adc	\$0,%rdx
+	add	$A[1],$N[1]
+	adc	\$0,%rdx
+	mov	$N[0],-24($tp)		# tp[j-1]
+	mov	%rdx,$N[0]
+
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[0]
+	mov	8*0($np),%rax
+	adc	\$0,%rdx
+	add	($tp),$A[0]		# ap[j]*bp[i]+tp[j]
+	adc	\$0,%rdx
+	mov	%rdx,$A[1]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[0]
+	mov	8($ap,$j),%rax
+	adc	\$0,%rdx
+	add	$A[0],$N[0]
+	adc	\$0,%rdx
+	mov	$N[1],-16($tp)		# tp[j-1]
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[1]
+	mov	8*1($np),%rax
+	adc	\$0,%rdx
+	add	8($tp),$A[1]
+	adc	\$0,%rdx
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	16($ap,$j),%rax
+	adc	\$0,%rdx
+	add	$A[1],$N[1]
+	lea	8*4($np),$np
+	adc	\$0,%rdx
+	mov	$N[0],-8($tp)		# tp[j-1]
+	mov	%rdx,$N[0]
+
+	add	\$32,$j			# j+=4
+	jnz	.Linner4x
+
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[0]
+	mov	-8*2($np),%rax
+	adc	\$0,%rdx
+	add	16($tp),$A[0]		# ap[j]*bp[i]+tp[j]
+	lea	32($tp),$tp
+	adc	\$0,%rdx
+	mov	%rdx,$A[1]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[0]
+	mov	-8($ap),%rax
+	adc	\$0,%rdx
+	add	$A[0],$N[0]
+	adc	\$0,%rdx
+	mov	$N[1],-32($tp)		# tp[j-1]
+	mov	%rdx,$N[1]
+
+	mulq	$m0			# ap[j]*bp[i]
+	add	%rax,$A[1]
+	mov	$m1,%rax
+	mov	-8*1($np),$m1
+	adc	\$0,%rdx
+	add	-8($tp),$A[1]
+	adc	\$0,%rdx
+	mov	%rdx,$A[0]
+
+	mulq	$m1			# np[j]*m1
+	add	%rax,$N[1]
+	mov	($ap,$num),%rax		# ap[0]
+	adc	\$0,%rdx
+	add	$A[1],$N[1]
+	adc	\$0,%rdx
+	mov	$N[0],-24($tp)		# tp[j-1]
+	mov	%rdx,$N[0]
+
+	mov	$N[1],-16($tp)		# tp[j-1]
+	lea	($np,$num),$np		# rewind $np
+
+	xor	$N[1],$N[1]
+	add	$A[0],$N[0]
+	adc	\$0,$N[1]
+	add	($tp),$N[0]		# pull upmost overflow bit
+	adc	\$0,$N[1]		# upmost overflow bit
+	mov	$N[0],-8($tp)
+
+	cmp	16+8(%rsp),$bp
+	jb	.Louter4x
+___
+if (1) {
+$code.=<<___;
+	xor	%rax,%rax
+	sub	$N[0],$m1		# compare top-most words
+	adc	$j,$j			# $j is zero
+	or	$j,$N[1]
+	sub	$N[1],%rax		# %rax=-$N[1]
+	lea	($tp,$num),%rbx		# tptr in .sqr4x_sub
+	mov	($np),%r12
+	lea	($np),%rbp		# nptr in .sqr4x_sub
+	mov	%r9,%rcx
+	sar	\$3+2,%rcx
+	mov	56+8(%rsp),%rdi		# rptr in .sqr4x_sub
+	dec	%r12			# so that after 'not' we get -n[0]
+	xor	%r10,%r10
+	mov	8*1(%rbp),%r13
+	mov	8*2(%rbp),%r14
+	mov	8*3(%rbp),%r15
+	jmp	.Lsqr4x_sub_entry
+___
+} else {
+my @ri=("%rax",$bp,$m0,$m1);
+my $rp="%rdx";
+$code.=<<___
+	xor	\$1,$N[1]
+	lea	($tp,$num),$tp		# rewind $tp
+	sar	\$5,$num		# cf=0
+	lea	($np,$N[1],8),$np
+	mov	56+8(%rsp),$rp		# restore $rp
+	jmp	.Lsub4x
+
+.align	32
+.Lsub4x:
+	.byte	0x66
+	mov	8*0($tp),@ri[0]
+	mov	8*1($tp),@ri[1]
+	.byte	0x66
+	sbb	16*0($np),@ri[0]
+	mov	8*2($tp),@ri[2]
+	sbb	16*1($np),@ri[1]
+	mov	3*8($tp),@ri[3]
+	lea	4*8($tp),$tp
+	sbb	16*2($np),@ri[2]
+	mov	@ri[0],8*0($rp)
+	sbb	16*3($np),@ri[3]
+	lea	16*4($np),$np
+	mov	@ri[1],8*1($rp)
+	mov	@ri[2],8*2($rp)
+	mov	@ri[3],8*3($rp)
+	lea	8*4($rp),$rp
+
+	inc	$num
+	jnz	.Lsub4x
+
+	ret
+___
+}
+$code.=<<___;
+.size	mul4x_internal,.-mul4x_internal
+___
+}}}
+{{{
+######################################################################
+# void bn_power5(
+my $rptr="%rdi";	# BN_ULONG *rptr,
+my $aptr="%rsi";	# const BN_ULONG *aptr,
+my $bptr="%rdx";	# const void *table,
+my $nptr="%rcx";	# const BN_ULONG *nptr,
+my $n0  ="%r8";		# const BN_ULONG *n0);
+my $num ="%r9";		# int num, has to be divisible by 8
+			# int pwr 
+
+my ($i,$j,$tptr)=("%rbp","%rcx",$rptr);
+my @A0=("%r10","%r11");
+my @A1=("%r12","%r13");
+my ($a0,$a1,$ai)=("%r14","%r15","%rbx");
+
+$code.=<<___;
+.globl	bn_power5
+.type	bn_power5,\@function,6
+.align	32
+bn_power5:
+	mov	%rsp,%rax
+___
+$code.=<<___ if ($addx);
+	mov	OPENSSL_ia32cap_P+8(%rip),%r11d
+	and	\$0x80108,%r11d
+	cmp	\$0x80108,%r11d		# check for AD*X+BMI2+BMI1
+	je	.Lpowerx5_enter
+___
+$code.=<<___;
+	push	%rbx
+	push	%rbp
+	push	%r12
+	push	%r13
+	push	%r14
+	push	%r15
+.Lpower5_prologue:
+
+	shl	\$3,${num}d		# convert $num to bytes
+	lea	($num,$num,2),%r10d	# 3*$num
+	neg	$num
+	mov	($n0),$n0		# *n0
+
+	##############################################################
+	# Ensure that stack frame doesn't alias with $rptr+3*$num
+	# modulo 4096, which covers ret[num], am[num] and n[num]
+	# (see bn_exp.c). This is done to allow memory disambiguation
+	# logic do its magic. [Extra 256 bytes is for power mask
+	# calculated from 7th argument, the index.]
+	#
+	lea	-320(%rsp,$num,2),%r11
+	mov	%rsp,%rbp
+	sub	$rptr,%r11
+	and	\$4095,%r11
+	cmp	%r11,%r10
+	jb	.Lpwr_sp_alt
+	sub	%r11,%rbp		# align with $aptr
+	lea	-320(%rbp,$num,2),%rbp	# future alloca(frame+2*num*8+256)
+	jmp	.Lpwr_sp_done
+
+.align	32
+.Lpwr_sp_alt:
+	lea	4096-320(,$num,2),%r10
+	lea	-320(%rbp,$num,2),%rbp	# future alloca(frame+2*num*8+256)
+	sub	%r10,%r11
+	mov	\$0,%r10
+	cmovc	%r10,%r11
+	sub	%r11,%rbp
+.Lpwr_sp_done:
+	and	\$-64,%rbp
+	mov	%rsp,%r11
+	sub	%rbp,%r11
+	and	\$-4096,%r11
+	lea	(%rbp,%r11),%rsp
+	mov	(%rsp),%r10
+	cmp	%rbp,%rsp
+	ja	.Lpwr_page_walk
+	jmp	.Lpwr_page_walk_done
+
+.Lpwr_page_walk:
+	lea	-4096(%rsp),%rsp
+	mov	(%rsp),%r10
+	cmp	%rbp,%rsp
+	ja	.Lpwr_page_walk
+.Lpwr_page_walk_done:
+
+	mov	$num,%r10	
+	neg	$num
+
+	##############################################################
+	# Stack layout
+	#
+	# +0	saved $num, used in reduction section
+	# +8	&t[2*$num], used in reduction section
+	# +32	saved *n0
+	# +40	saved %rsp
+	# +48	t[2*$num]
+	#
+	mov	$n0,  32(%rsp)
+	mov	%rax, 40(%rsp)		# save original %rsp
+.Lpower5_body:
+	movq	$rptr,%xmm1		# save $rptr, used in sqr8x
+	movq	$nptr,%xmm2		# save $nptr
+	movq	%r10, %xmm3		# -$num, used in sqr8x
+	movq	$bptr,%xmm4
+
+	call	__bn_sqr8x_internal
+	call	__bn_post4x_internal
+	call	__bn_sqr8x_internal
+	call	__bn_post4x_internal
+	call	__bn_sqr8x_internal
+	call	__bn_post4x_internal
+	call	__bn_sqr8x_internal
+	call	__bn_post4x_internal
+	call	__bn_sqr8x_internal
+	call	__bn_post4x_internal
+
+	movq	%xmm2,$nptr
+	movq	%xmm4,$bptr
+	mov	$aptr,$rptr
+	mov	40(%rsp),%rax
+	lea	32(%rsp),$n0
+
+	call	mul4x_internal
+
+	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
+.Lpower5_epilogue:
+	ret
+.size	bn_power5,.-bn_power5
+
+.globl	bn_sqr8x_internal
+.hidden	bn_sqr8x_internal
+.type	bn_sqr8x_internal,\@abi-omnipotent
+.align	32
+bn_sqr8x_internal:
+__bn_sqr8x_internal:
+	##############################################################
+	# 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;
+	#
+	##############################################################
+	#                                                     a[1]a[0]
+	#                                                 a[2]a[0]
+	#                                             a[3]a[0]
+	#                                             a[2]a[1]
+	#                                         a[4]a[0]
+	#                                         a[3]a[1]
+	#                                     a[5]a[0]
+	#                                     a[4]a[1]
+	#                                     a[3]a[2]
+	#                                 a[6]a[0]
+	#                                 a[5]a[1]
+	#                                 a[4]a[2]
+	#                             a[7]a[0]
+	#                             a[6]a[1]
+	#                             a[5]a[2]
+	#                             a[4]a[3]
+	#                         a[7]a[1]
+	#                         a[6]a[2]
+	#                         a[5]a[3]
+	#                     a[7]a[2]
+	#                     a[6]a[3]
+	#                     a[5]a[4]
+	#                 a[7]a[3]
+	#                 a[6]a[4]
+	#             a[7]a[4]
+	#             a[6]a[5]
+	#         a[7]a[5]
+	#     a[7]a[6]
+	#                                                     a[1]a[0]
+	#                                                 a[2]a[0]
+	#                                             a[3]a[0]
+	#                                         a[4]a[0]
+	#                                     a[5]a[0]
+	#                                 a[6]a[0]
+	#                             a[7]a[0]
+	#                                             a[2]a[1]
+	#                                         a[3]a[1]
+	#                                     a[4]a[1]
+	#                                 a[5]a[1]
+	#                             a[6]a[1]
+	#                         a[7]a[1]
+	#                                     a[3]a[2]
+	#                                 a[4]a[2]
+	#                             a[5]a[2]
+	#                         a[6]a[2]
+	#                     a[7]a[2]
+	#                             a[4]a[3]
+	#                         a[5]a[3]
+	#                     a[6]a[3]
+	#                 a[7]a[3]
+	#                     a[5]a[4]
+	#                 a[6]a[4]
+	#             a[7]a[4]
+	#             a[6]a[5]
+	#         a[7]a[5]
+	#     a[7]a[6]
+	#                                                         a[0]a[0]
+	#                                                 a[1]a[1]
+	#                                         a[2]a[2]
+	#                                 a[3]a[3]
+	#                         a[4]a[4]
+	#                 a[5]a[5]
+	#         a[6]a[6]
+	# a[7]a[7]
+
+	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	48+8(%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]
+
+	mul	$a0			# a[2]*a[0]
+	add	%rax,$A0[1]
+	 mov	$ai,%rax
+	adc	\$0,%rdx
+	mov	$A0[1],-16($tptr,$i)	# t[2]
+	mov	%rdx,$A0[0]
+
+
+	 mov	-8($aptr,$i),$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]
+
+	 lea	($i),$j
+	mul	$a0			# a[3]*a[0]
+	add	%rax,$A0[0]		# a[3]*a[0]+a[2]*a[1]+t[3]
+	 mov	$ai,%rax
+	mov	%rdx,$A0[1]
+	adc	\$0,$A0[1]
+	add	$A1[0],$A0[0]
+	adc	\$0,$A0[1]
+	mov	$A0[0],-8($tptr,$j)	# t[3]
+	jmp	.Lsqr4x_1st
+
+.align	32
+.Lsqr4x_1st:
+	 mov	($aptr,$j),$ai		# a[4]
+	mul	$a1			# a[3]*a[1]
+	add	%rax,$A1[1]		# a[3]*a[1]+t[4]
+	 mov	$ai,%rax
+	mov	%rdx,$A1[0]
+	adc	\$0,$A1[0]
+
+	mul	$a0			# a[4]*a[0]
+	add	%rax,$A0[1]		# a[4]*a[0]+a[3]*a[1]+t[4]
+	 mov	$ai,%rax		# a[3]
+	 mov	8($aptr,$j),$ai		# a[5]
+	mov	%rdx,$A0[0]
+	adc	\$0,$A0[0]
+	add	$A1[1],$A0[1]
+	adc	\$0,$A0[0]
+
+
+	mul	$a1			# a[4]*a[3]
+	add	%rax,$A1[0]		# a[4]*a[3]+t[5]
+	 mov	$ai,%rax
+	 mov	$A0[1],($tptr,$j)	# t[4]
+	mov	%rdx,$A1[1]
+	adc	\$0,$A1[1]
+
+	mul	$a0			# a[5]*a[2]
+	add	%rax,$A0[0]		# a[5]*a[2]+a[4]*a[3]+t[5]
+	 mov	$ai,%rax
+	 mov	16($aptr,$j),$ai	# a[6]
+	mov	%rdx,$A0[1]
+	adc	\$0,$A0[1]
+	add	$A1[0],$A0[0]
+	adc	\$0,$A0[1]
+
+	mul	$a1			# a[5]*a[3]
+	add	%rax,$A1[1]		# a[5]*a[3]+t[6]
+	 mov	$ai,%rax
+	 mov	$A0[0],8($tptr,$j)	# t[5]
+	mov	%rdx,$A1[0]
+	adc	\$0,$A1[0]
+
+	mul	$a0			# a[6]*a[2]
+	add	%rax,$A0[1]		# a[6]*a[2]+a[5]*a[3]+t[6]
+	 mov	$ai,%rax		# a[3]
+	 mov	24($aptr,$j),$ai	# a[7]
+	mov	%rdx,$A0[0]
+	adc	\$0,$A0[0]
+	add	$A1[1],$A0[1]
+	adc	\$0,$A0[0]
+
+
+	mul	$a1			# a[6]*a[5]
+	add	%rax,$A1[0]		# a[6]*a[5]+t[7]
+	 mov	$ai,%rax
+	 mov	$A0[1],16($tptr,$j)	# t[6]
+	mov	%rdx,$A1[1]
+	adc	\$0,$A1[1]
+	 lea	32($j),$j
+
+	mul	$a0			# a[7]*a[4]
+	add	%rax,$A0[0]		# a[7]*a[4]+a[6]*a[5]+t[6]
+	 mov	$ai,%rax
+	mov	%rdx,$A0[1]
+	adc	\$0,$A0[1]
+	add	$A1[0],$A0[0]
+	adc	\$0,$A0[1]
+	mov	$A0[0],-8($tptr,$j)	# t[7]
+
+	cmp	\$0,$j
+	jne	.Lsqr4x_1st
+
+	mul	$a1			# a[7]*a[5]
+	add	%rax,$A1[1]
+	lea	16($i),$i
+	adc	\$0,%rdx
+	add	$A0[1],$A1[1]
+	adc	\$0,%rdx
+
+	mov	$A1[1],($tptr)		# t[8]
+	mov	%rdx,$A1[0]
+	mov	%rdx,8($tptr)		# t[9]
+	jmp	.Lsqr4x_outer
+
+.align	32
+.Lsqr4x_outer:				# comments apply to $num==6 case
+	mov	-32($aptr,$i),$a0	# a[0]
+	lea	48+8(%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	$a0			# a[1]*a[0]
+	mov	-24($tptr,$i),$A0[0]	# t[1]
+	add	%rax,$A0[0]		# a[1]*a[0]+t[1]
+	 mov	$ai,%rax		# a[2]
+	adc	\$0,%rdx
+	mov	$A0[0],-24($tptr,$i)	# t[1]
+	mov	%rdx,$A0[1]
+
+	mul	$a0			# a[2]*a[0]
+	add	%rax,$A0[1]
+	 mov	$ai,%rax
+	adc	\$0,%rdx
+	add	-16($tptr,$i),$A0[1]	# a[2]*a[0]+t[2]
+	mov	%rdx,$A0[0]
+	adc	\$0,$A0[0]
+	mov	$A0[1],-16($tptr,$i)	# t[2]
+
+	xor	$A1[0],$A1[0]
+
+	 mov	-8($aptr,$i),$ai	# a[3]
+	mul	$a1			# a[2]*a[1]
+	add	%rax,$A1[0]		# a[2]*a[1]+t[3]
+	 mov	$ai,%rax
+	adc	\$0,%rdx
+	add	-8($tptr,$i),$A1[0]
+	mov	%rdx,$A1[1]
+	adc	\$0,$A1[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	\$0,%rdx
+	add	$A1[0],$A0[0]
+	mov	%rdx,$A0[1]
+	adc	\$0,$A0[1]
+	mov	$A0[0],-8($tptr,$i)	# t[3]
+
+	lea	($i),$j
+	jmp	.Lsqr4x_inner
+
+.align	32
+.Lsqr4x_inner:
+	 mov	($aptr,$j),$ai		# a[4]
+	mul	$a1			# a[3]*a[1]
+	add	%rax,$A1[1]		# a[3]*a[1]+t[4]
+	 mov	$ai,%rax
+	mov	%rdx,$A1[0]
+	adc	\$0,$A1[0]
+	add	($tptr,$j),$A1[1]
+	adc	\$0,$A1[0]
+
+	.byte	0x67
+	mul	$a0			# a[4]*a[0]
+	add	%rax,$A0[1]		# a[4]*a[0]+a[3]*a[1]+t[4]
+	 mov	$ai,%rax		# a[3]
+	 mov	8($aptr,$j),$ai		# a[5]
+	mov	%rdx,$A0[0]
+	adc	\$0,$A0[0]
+	add	$A1[1],$A0[1]
+	adc	\$0,$A0[0]
+
+	mul	$a1			# a[4]*a[3]
+	add	%rax,$A1[0]		# a[4]*a[3]+t[5]
+	mov	$A0[1],($tptr,$j)	# t[4]
+	 mov	$ai,%rax
+	mov	%rdx,$A1[1]
+	adc	\$0,$A1[1]
+	add	8($tptr,$j),$A1[0]
+	lea	16($j),$j		# j++
+	adc	\$0,$A1[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	\$0,%rdx
+	add	$A1[0],$A0[0]
+	mov	%rdx,$A0[1]
+	adc	\$0,$A0[1]
+	mov	$A0[0],-8($tptr,$j)	# t[5], "preloaded t[1]" below
+
+	cmp	\$0,$j
+	jne	.Lsqr4x_inner
+
+	.byte	0x67
+	mul	$a1			# a[5]*a[3]
+	add	%rax,$A1[1]
+	adc	\$0,%rdx
+	add	$A0[1],$A1[1]
+	adc	\$0,%rdx
+
+	mov	$A1[1],($tptr)		# t[6], "preloaded t[2]" below
+	mov	%rdx,$A1[0]
+	mov	%rdx,8($tptr)		# t[7], "preloaded t[3]" below
+
+	add	\$16,$i
+	jnz	.Lsqr4x_outer
+
+					# comments apply to $num==4 case
+	mov	-32($aptr),$a0		# a[0]
+	lea	48+8(%rsp,$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
+
+	mul	$a0			# a[1]*a[0]
+	add	%rax,$A0[0]		# a[1]*a[0]+t[1], preloaded t[1]
+	 mov	$ai,%rax		# a[2]
+	mov	%rdx,$A0[1]
+	adc	\$0,$A0[1]
+
+	mul	$a0			# a[2]*a[0]
+	add	%rax,$A0[1]
+	 mov	$ai,%rax
+	 mov	$A0[0],-24($tptr)	# t[1]
+	mov	%rdx,$A0[0]
+	adc	\$0,$A0[0]
+	add	$A1[1],$A0[1]		# a[2]*a[0]+t[2], preloaded t[2]
+	 mov	-8($aptr),$ai		# a[3]
+	adc	\$0,$A0[0]
+
+	mul	$a1			# a[2]*a[1]
+	add	%rax,$A1[0]		# a[2]*a[1]+t[3], preloaded t[3]
+	 mov	$ai,%rax
+	 mov	$A0[1],-16($tptr)	# t[2]
+	mov	%rdx,$A1[1]
+	adc	\$0,$A1[1]
+
+	mul	$a0			# a[3]*a[0]
+	add	%rax,$A0[0]		# a[3]*a[0]+a[2]*a[1]+t[3]
+	 mov	$ai,%rax
+	mov	%rdx,$A0[1]
+	adc	\$0,$A0[1]
+	add	$A1[0],$A0[0]
+	adc	\$0,$A0[1]
+	mov	$A0[0],-8($tptr)	# t[3]
+
+	mul	$a1			# a[3]*a[1]
+	add	%rax,$A1[1]
+	 mov	-16($aptr),%rax		# a[2]
+	adc	\$0,%rdx
+	add	$A0[1],$A1[1]
+	adc	\$0,%rdx
+
+	mov	$A1[1],($tptr)		# t[4]
+	mov	%rdx,$A1[0]
+	mov	%rdx,8($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	48+8(%rsp),$tptr
+	 xor	$A0[0],$A0[0]		# t[0]
+	 mov	8($tptr),$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($tptr),$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),$A0[1]	# t[2*i+2+1]	# prefetch
+	adc	%rax,$S[0]
+	 mov	-8($aptr,$i),%rax	# a[i+1]	# prefetch
+	mov	$S[0],($tptr)
+	adc	%rdx,$S[1]
+
+	lea	($shift,$A0[0],2),$S[2]	# t[2*i]<<1 | shift
+	 mov	$S[1],8($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
+	 mov	32($tptr),$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 $carry,cf
+	 mov	40($tptr),$A0[1]	# t[2*i+2+1]	# prefetch
+	adc	%rax,$S[2]
+	 mov	0($aptr,$i),%rax	# a[i+1]	# prefetch
+	mov	$S[2],16($tptr)
+	adc	%rdx,$S[3]
+	lea	16($i),$i
+	mov	$S[3],24($tptr)
+	sbb	$carry,$carry		# mov cf,$carry
+	lea	64($tptr),$tptr
+	jmp	.Lsqr4x_shift_n_add
+
+.align	32
+.Lsqr4x_shift_n_add:
+	lea	($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($aptr,$i),%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
+	 mov	0($tptr),$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[2]
+	 mov	0($aptr,$i),%rax	# a[i+1]	# prefetch
+	mov	$S[2],-16($tptr)
+	adc	%rdx,$S[3]
+
+	lea	($shift,$A0[0],2),$S[0]	# t[2*i]<<1 | shift
+	 mov	$S[3],-8($tptr)
+	 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($tptr),$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),$A0[1]	# t[2*i+2+1]	# prefetch
+	adc	%rax,$S[0]
+	 mov	8($aptr,$i),%rax	# a[i+1]	# prefetch
+	mov	$S[0],0($tptr)
+	adc	%rdx,$S[1]
+
+	lea	($shift,$A0[0],2),$S[2]	# t[2*i]<<1 | shift
+	 mov	$S[1],8($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
+	 mov	32($tptr),$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 $carry,cf
+	 mov	40($tptr),$A0[1]	# t[2*i+2+1]	# prefetch
+	adc	%rax,$S[2]
+	 mov	16($aptr,$i),%rax	# a[i+1]	# prefetch
+	mov	$S[2],16($tptr)
+	adc	%rdx,$S[3]
+	mov	$S[3],24($tptr)
+	sbb	$carry,$carry		# mov cf,$carry
+	lea	64($tptr),$tptr
+	add	\$32,$i
+	jnz	.Lsqr4x_shift_n_add
+
+	lea	($shift,$A0[0],2),$S[0]	# t[2*i]<<1 | shift
+	.byte	0x67
+	shr	\$63,$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.
+#
+# This new path is inspired by multiple submissions from Intel, by
+# Shay Gueron, Vlad Krasnov, Erdinc Ozturk, James Guilford,
+# Vinodh Gopal...
+{
+my ($nptr,$tptr,$carry,$m0)=("%rbp","%rdi","%rsi","%rbx");
+
+$code.=<<___;
+	movq	%xmm2,$nptr
+__bn_sqr8x_reduction:
+	xor	%rax,%rax
+	lea	($nptr,$num),%rcx	# end of n[]
+	lea	48+8(%rsp,$num,2),%rdx	# end of t[] buffer
+	mov	%rcx,0+8(%rsp)
+	lea	48+8(%rsp,$num),$tptr	# end of initial t[] window
+	mov	%rdx,8+8(%rsp)
+	neg	$num
+	jmp	.L8x_reduction_loop
+
+.align	32
+.L8x_reduction_loop:
+	lea	($tptr,$num),$tptr	# start of current t[] window
+	.byte	0x66
+	mov	8*0($tptr),$m0
+	mov	8*1($tptr),%r9
+	mov	8*2($tptr),%r10
+	mov	8*3($tptr),%r11
+	mov	8*4($tptr),%r12
+	mov	8*5($tptr),%r13
+	mov	8*6($tptr),%r14
+	mov	8*7($tptr),%r15
+	mov	%rax,(%rdx)		# store top-most carry bit
+	lea	8*8($tptr),$tptr
+
+	.byte	0x67
+	mov	$m0,%r8
+	imulq	32+8(%rsp),$m0		# n0*a[0]
+	mov	8*0($nptr),%rax		# n[0]
+	mov	\$8,%ecx
+	jmp	.L8x_reduce
+
+.align	32
+.L8x_reduce:
+	mulq	$m0
+	 mov	8*1($nptr),%rax		# n[1]
+	neg	%r8
+	mov	%rdx,%r8
+	adc	\$0,%r8
+
+	mulq	$m0
+	add	%rax,%r9
+	 mov	8*2($nptr),%rax
+	adc	\$0,%rdx
+	add	%r9,%r8
+	 mov	$m0,48-8+8(%rsp,%rcx,8)	# put aside n0*a[i]
+	mov	%rdx,%r9
+	adc	\$0,%r9
+
+	mulq	$m0
+	add	%rax,%r10
+	 mov	8*3($nptr),%rax
+	adc	\$0,%rdx
+	add	%r10,%r9
+	 mov	32+8(%rsp),$carry	# pull n0, borrow $carry
+	mov	%rdx,%r10
+	adc	\$0,%r10
+
+	mulq	$m0
+	add	%rax,%r11
+	 mov	8*4($nptr),%rax
+	adc	\$0,%rdx
+	 imulq	%r8,$carry		# modulo-scheduled
+	add	%r11,%r10
+	mov	%rdx,%r11
+	adc	\$0,%r11
+
+	mulq	$m0
+	add	%rax,%r12
+	 mov	8*5($nptr),%rax
+	adc	\$0,%rdx
+	add	%r12,%r11
+	mov	%rdx,%r12
+	adc	\$0,%r12
+
+	mulq	$m0
+	add	%rax,%r13
+	 mov	8*6($nptr),%rax
+	adc	\$0,%rdx
+	add	%r13,%r12
+	mov	%rdx,%r13
+	adc	\$0,%r13
+
+	mulq	$m0
+	add	%rax,%r14
+	 mov	8*7($nptr),%rax
+	adc	\$0,%rdx
+	add	%r14,%r13
+	mov	%rdx,%r14
+	adc	\$0,%r14
+
+	mulq	$m0
+	 mov	$carry,$m0		# n0*a[i]
+	add	%rax,%r15
+	 mov	8*0($nptr),%rax		# n[0]
+	adc	\$0,%rdx
+	add	%r15,%r14
+	mov	%rdx,%r15
+	adc	\$0,%r15
+
+	dec	%ecx
+	jnz	.L8x_reduce
+
+	lea	8*8($nptr),$nptr
+	xor	%rax,%rax
+	mov	8+8(%rsp),%rdx		# pull end of t[]
+	cmp	0+8(%rsp),$nptr		# end of n[]?
+	jae	.L8x_no_tail
+
+	.byte	0x66
+	add	8*0($tptr),%r8
+	adc	8*1($tptr),%r9
+	adc	8*2($tptr),%r10
+	adc	8*3($tptr),%r11
+	adc	8*4($tptr),%r12
+	adc	8*5($tptr),%r13
+	adc	8*6($tptr),%r14
+	adc	8*7($tptr),%r15
+	sbb	$carry,$carry		# top carry
+
+	mov	48+56+8(%rsp),$m0	# pull n0*a[0]
+	mov	\$8,%ecx
+	mov	8*0($nptr),%rax
+	jmp	.L8x_tail
+
+.align	32
+.L8x_tail:
+	mulq	$m0
+	add	%rax,%r8
+	 mov	8*1($nptr),%rax
+	 mov	%r8,($tptr)		# save result
+	mov	%rdx,%r8
+	adc	\$0,%r8
+
+	mulq	$m0
+	add	%rax,%r9
+	 mov	8*2($nptr),%rax
+	adc	\$0,%rdx
+	add	%r9,%r8
+	 lea	8($tptr),$tptr		# $tptr++
+	mov	%rdx,%r9
+	adc	\$0,%r9
+
+	mulq	$m0
+	add	%rax,%r10
+	 mov	8*3($nptr),%rax
+	adc	\$0,%rdx
+	add	%r10,%r9
+	mov	%rdx,%r10
+	adc	\$0,%r10
+
+	mulq	$m0
+	add	%rax,%r11
+	 mov	8*4($nptr),%rax
+	adc	\$0,%rdx
+	add	%r11,%r10
+	mov	%rdx,%r11
+	adc	\$0,%r11
+
+	mulq	$m0
+	add	%rax,%r12
+	 mov	8*5($nptr),%rax
+	adc	\$0,%rdx
+	add	%r12,%r11
+	mov	%rdx,%r12
+	adc	\$0,%r12
+
+	mulq	$m0
+	add	%rax,%r13
+	 mov	8*6($nptr),%rax
+	adc	\$0,%rdx
+	add	%r13,%r12
+	mov	%rdx,%r13
+	adc	\$0,%r13
+
+	mulq	$m0
+	add	%rax,%r14
+	 mov	8*7($nptr),%rax
+	adc	\$0,%rdx
+	add	%r14,%r13
+	mov	%rdx,%r14
+	adc	\$0,%r14
+
+	mulq	$m0
+	 mov	48-16+8(%rsp,%rcx,8),$m0# pull n0*a[i]
+	add	%rax,%r15
+	adc	\$0,%rdx
+	add	%r15,%r14
+	 mov	8*0($nptr),%rax		# pull n[0]
+	mov	%rdx,%r15
+	adc	\$0,%r15
+
+	dec	%ecx
+	jnz	.L8x_tail
+
+	lea	8*8($nptr),$nptr
+	mov	8+8(%rsp),%rdx		# pull end of t[]
+	cmp	0+8(%rsp),$nptr		# end of n[]?
+	jae	.L8x_tail_done		# break out of loop
+
+	 mov	48+56+8(%rsp),$m0	# pull n0*a[0]
+	neg	$carry
+	 mov	8*0($nptr),%rax		# pull n[0]
+	adc	8*0($tptr),%r8
+	adc	8*1($tptr),%r9
+	adc	8*2($tptr),%r10
+	adc	8*3($tptr),%r11
+	adc	8*4($tptr),%r12
+	adc	8*5($tptr),%r13
+	adc	8*6($tptr),%r14
+	adc	8*7($tptr),%r15
+	sbb	$carry,$carry		# top carry
+
+	mov	\$8,%ecx
+	jmp	.L8x_tail
+
+.align	32
+.L8x_tail_done:
+	xor	%rax,%rax
+	add	(%rdx),%r8		# can this overflow?
+	adc	\$0,%r9
+	adc	\$0,%r10
+	adc	\$0,%r11
+	adc	\$0,%r12
+	adc	\$0,%r13
+	adc	\$0,%r14
+	adc	\$0,%r15
+	adc	\$0,%rax
+
+	neg	$carry
+.L8x_no_tail:
+	adc	8*0($tptr),%r8
+	adc	8*1($tptr),%r9
+	adc	8*2($tptr),%r10
+	adc	8*3($tptr),%r11
+	adc	8*4($tptr),%r12
+	adc	8*5($tptr),%r13
+	adc	8*6($tptr),%r14
+	adc	8*7($tptr),%r15
+	adc	\$0,%rax		# top-most carry
+	 mov	-8($nptr),%rcx		# np[num-1]
+	 xor	$carry,$carry
+
+	movq	%xmm2,$nptr		# restore $nptr
+
+	mov	%r8,8*0($tptr)		# store top 512 bits
+	mov	%r9,8*1($tptr)
+	 movq	%xmm3,$num		# $num is %r9, can't be moved upwards
+	mov	%r10,8*2($tptr)
+	mov	%r11,8*3($tptr)
+	mov	%r12,8*4($tptr)
+	mov	%r13,8*5($tptr)
+	mov	%r14,8*6($tptr)
+	mov	%r15,8*7($tptr)
+	lea	8*8($tptr),$tptr
+
+	cmp	%rdx,$tptr		# end of t[]?
+	jb	.L8x_reduction_loop
+	ret
+.size	bn_sqr8x_internal,.-bn_sqr8x_internal
+___
+}
+##############################################################
+# Post-condition, 4x unrolled
+#
+{
+my ($tptr,$nptr)=("%rbx","%rbp");
+$code.=<<___;
+.type	__bn_post4x_internal,\@abi-omnipotent
+.align	32
+__bn_post4x_internal:
+	mov	8*0($nptr),%r12
+	lea	(%rdi,$num),$tptr	# %rdi was $tptr above
+	mov	$num,%rcx
+	movq	%xmm1,$rptr		# restore $rptr
+	neg	%rax
+	movq	%xmm1,$aptr		# prepare for back-to-back call
+	sar	\$3+2,%rcx
+	dec	%r12			# so that after 'not' we get -n[0]
+	xor	%r10,%r10
+	mov	8*1($nptr),%r13
+	mov	8*2($nptr),%r14
+	mov	8*3($nptr),%r15
+	jmp	.Lsqr4x_sub_entry
+
+.align	16
+.Lsqr4x_sub:
+	mov	8*0($nptr),%r12
+	mov	8*1($nptr),%r13
+	mov	8*2($nptr),%r14
+	mov	8*3($nptr),%r15
+.Lsqr4x_sub_entry:
+	lea	8*4($nptr),$nptr
+	not	%r12
+	not	%r13
+	not	%r14
+	not	%r15
+	and	%rax,%r12
+	and	%rax,%r13
+	and	%rax,%r14
+	and	%rax,%r15
+
+	neg	%r10			# mov %r10,%cf
+	adc	8*0($tptr),%r12
+	adc	8*1($tptr),%r13
+	adc	8*2($tptr),%r14
+	adc	8*3($tptr),%r15
+	mov	%r12,8*0($rptr)
+	lea	8*4($tptr),$tptr
+	mov	%r13,8*1($rptr)
+	sbb	%r10,%r10		# mov %cf,%r10
+	mov	%r14,8*2($rptr)
+	mov	%r15,8*3($rptr)
+	lea	8*4($rptr),$rptr
+
+	inc	%rcx			# pass %cf
+	jnz	.Lsqr4x_sub
+
+	mov	$num,%r10		# prepare for back-to-back call
+	neg	$num			# restore $num	
+	ret
+.size	__bn_post4x_internal,.-__bn_post4x_internal
+___
+}
+{
+$code.=<<___;
+.globl	bn_from_montgomery
+.type	bn_from_montgomery,\@abi-omnipotent
+.align	32
+bn_from_montgomery:
+	testl	\$7,`($win64?"48(%rsp)":"%r9d")`
+	jz	bn_from_mont8x
+	xor	%eax,%eax
+	ret
+.size	bn_from_montgomery,.-bn_from_montgomery
+
+.type	bn_from_mont8x,\@function,6
+.align	32
+bn_from_mont8x:
+	.byte	0x67
+	mov	%rsp,%rax
+	push	%rbx
+	push	%rbp
+	push	%r12
+	push	%r13
+	push	%r14
+	push	%r15
+.Lfrom_prologue:
+
+	shl	\$3,${num}d		# convert $num to bytes
+	lea	($num,$num,2),%r10	# 3*$num in bytes
+	neg	$num
+	mov	($n0),$n0		# *n0
+
+	##############################################################
+	# Ensure that stack frame doesn't alias with $rptr+3*$num
+	# modulo 4096, which covers ret[num], am[num] and n[num]
+	# (see bn_exp.c). The stack is allocated to aligned with
+	# bn_power5's frame, and as bn_from_montgomery happens to be
+	# last operation, we use the opportunity to cleanse it.
+	#
+	lea	-320(%rsp,$num,2),%r11
+	mov	%rsp,%rbp
+	sub	$rptr,%r11
+	and	\$4095,%r11
+	cmp	%r11,%r10
+	jb	.Lfrom_sp_alt
+	sub	%r11,%rbp		# align with $aptr
+	lea	-320(%rbp,$num,2),%rbp	# future alloca(frame+2*$num*8+256)
+	jmp	.Lfrom_sp_done
+
+.align	32
+.Lfrom_sp_alt:
+	lea	4096-320(,$num,2),%r10
+	lea	-320(%rbp,$num,2),%rbp	# future alloca(frame+2*$num*8+256)
+	sub	%r10,%r11
+	mov	\$0,%r10
+	cmovc	%r10,%r11
+	sub	%r11,%rbp
+.Lfrom_sp_done:
+	and	\$-64,%rbp
+	mov	%rsp,%r11
+	sub	%rbp,%r11
+	and	\$-4096,%r11
+	lea	(%rbp,%r11),%rsp
+	mov	(%rsp),%r10
+	cmp	%rbp,%rsp
+	ja	.Lfrom_page_walk
+	jmp	.Lfrom_page_walk_done
+
+.Lfrom_page_walk:
+	lea	-4096(%rsp),%rsp
+	mov	(%rsp),%r10
+	cmp	%rbp,%rsp
+	ja	.Lfrom_page_walk
+.Lfrom_page_walk_done:
+
+	mov	$num,%r10
+	neg	$num
+
+	##############################################################
+	# Stack layout
+	#
+	# +0	saved $num, used in reduction section
+	# +8	&t[2*$num], used in reduction section
+	# +32	saved *n0
+	# +40	saved %rsp
+	# +48	t[2*$num]
+	#
+	mov	$n0,  32(%rsp)
+	mov	%rax, 40(%rsp)		# save original %rsp
+.Lfrom_body:
+	mov	$num,%r11
+	lea	48(%rsp),%rax
+	pxor	%xmm0,%xmm0
+	jmp	.Lmul_by_1
+
+.align	32
+.Lmul_by_1:
+	movdqu	($aptr),%xmm1
+	movdqu	16($aptr),%xmm2
+	movdqu	32($aptr),%xmm3
+	movdqa	%xmm0,(%rax,$num)
+	movdqu	48($aptr),%xmm4
+	movdqa	%xmm0,16(%rax,$num)
+	.byte	0x48,0x8d,0xb6,0x40,0x00,0x00,0x00	# lea	64($aptr),$aptr
+	movdqa	%xmm1,(%rax)
+	movdqa	%xmm0,32(%rax,$num)
+	movdqa	%xmm2,16(%rax)
+	movdqa	%xmm0,48(%rax,$num)
+	movdqa	%xmm3,32(%rax)
+	movdqa	%xmm4,48(%rax)
+	lea	64(%rax),%rax
+	sub	\$64,%r11
+	jnz	.Lmul_by_1
+
+	movq	$rptr,%xmm1
+	movq	$nptr,%xmm2
+	.byte	0x67
+	mov	$nptr,%rbp
+	movq	%r10, %xmm3		# -num
+___
+$code.=<<___ if ($addx);
+	mov	OPENSSL_ia32cap_P+8(%rip),%r11d
+	and	\$0x80108,%r11d
+	cmp	\$0x80108,%r11d		# check for AD*X+BMI2+BMI1
+	jne	.Lfrom_mont_nox
+
+	lea	(%rax,$num),$rptr
+	call	__bn_sqrx8x_reduction
+	call	__bn_postx4x_internal
+
+	pxor	%xmm0,%xmm0
+	lea	48(%rsp),%rax
+	mov	40(%rsp),%rsi		# restore %rsp
+	jmp	.Lfrom_mont_zero
+
+.align	32
+.Lfrom_mont_nox:
+___
+$code.=<<___;
+	call	__bn_sqr8x_reduction
+	call	__bn_post4x_internal
+
+	pxor	%xmm0,%xmm0
+	lea	48(%rsp),%rax
+	mov	40(%rsp),%rsi		# restore %rsp
+	jmp	.Lfrom_mont_zero
+
+.align	32
+.Lfrom_mont_zero:
+	movdqa	%xmm0,16*0(%rax)
+	movdqa	%xmm0,16*1(%rax)
+	movdqa	%xmm0,16*2(%rax)
+	movdqa	%xmm0,16*3(%rax)
+	lea	16*4(%rax),%rax
+	sub	\$32,$num
+	jnz	.Lfrom_mont_zero
+
+	mov	\$1,%rax
+	mov	-48(%rsi),%r15
+	mov	-40(%rsi),%r14
+	mov	-32(%rsi),%r13
+	mov	-24(%rsi),%r12
+	mov	-16(%rsi),%rbp
+	mov	-8(%rsi),%rbx
+	lea	(%rsi),%rsp
+.Lfrom_epilogue:
+	ret
+.size	bn_from_mont8x,.-bn_from_mont8x
+___
+}
+}}}
+
+if ($addx) {{{
+my $bp="%rdx";	# restore original value
+
+$code.=<<___;
+.type	bn_mulx4x_mont_gather5,\@function,6
+.align	32
+bn_mulx4x_mont_gather5:
+	mov	%rsp,%rax
+.Lmulx4x_enter:
+	push	%rbx
+	push	%rbp
+	push	%r12
+	push	%r13
+	push	%r14
+	push	%r15
+.Lmulx4x_prologue:
+
+	shl	\$3,${num}d		# convert $num to bytes
+	lea	($num,$num,2),%r10	# 3*$num in bytes
+	neg	$num			# -$num
+	mov	($n0),$n0		# *n0
+
+	##############################################################
+	# Ensure that stack frame doesn't alias with $rptr+3*$num
+	# modulo 4096, which covers ret[num], am[num] and n[num]
+	# (see bn_exp.c). This is done to allow memory disambiguation
+	# logic do its magic. [Extra [num] is allocated in order
+	# to align with bn_power5's frame, which is cleansed after
+	# completing exponentiation. Extra 256 bytes is for power mask
+	# calculated from 7th argument, the index.]
+	#
+	lea	-320(%rsp,$num,2),%r11
+	mov	%rsp,%rbp
+	sub	$rp,%r11
+	and	\$4095,%r11
+	cmp	%r11,%r10
+	jb	.Lmulx4xsp_alt
+	sub	%r11,%rbp		# align with $aptr
+	lea	-320(%rbp,$num,2),%rbp	# future alloca(frame+2*$num*8+256)
+	jmp	.Lmulx4xsp_done
+
+.Lmulx4xsp_alt:
+	lea	4096-320(,$num,2),%r10
+	lea	-320(%rbp,$num,2),%rbp	# future alloca(frame+2*$num*8+256)
+	sub	%r10,%r11
+	mov	\$0,%r10
+	cmovc	%r10,%r11
+	sub	%r11,%rbp
+.Lmulx4xsp_done:	
+	and	\$-64,%rbp		# ensure alignment
+	mov	%rsp,%r11
+	sub	%rbp,%r11
+	and	\$-4096,%r11
+	lea	(%rbp,%r11),%rsp
+	mov	(%rsp),%r10
+	cmp	%rbp,%rsp
+	ja	.Lmulx4x_page_walk
+	jmp	.Lmulx4x_page_walk_done
+
+.Lmulx4x_page_walk:
+	lea	-4096(%rsp),%rsp
+	mov	(%rsp),%r10
+	cmp	%rbp,%rsp
+	ja	.Lmulx4x_page_walk
+.Lmulx4x_page_walk_done:
+
+	##############################################################
+	# Stack layout
+	# +0	-num
+	# +8	off-loaded &b[i]
+	# +16	end of b[num]
+	# +24	inner counter
+	# +32	saved n0
+	# +40	saved %rsp
+	# +48
+	# +56	saved rp
+	# +64	tmp[num+1]
+	#
+	mov	$n0, 32(%rsp)		# save *n0
+	mov	%rax,40(%rsp)		# save original %rsp
+.Lmulx4x_body:
+	call	mulx4x_internal
+
+	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_gather5,.-bn_mulx4x_mont_gather5
+
+.type	mulx4x_internal,\@abi-omnipotent
+.align	32
+mulx4x_internal:
+	mov	$num,8(%rsp)		# save -$num (it was in bytes)
+	mov	$num,%r10
+	neg	$num			# restore $num
+	shl	\$5,$num
+	neg	%r10			# restore $num
+	lea	128($bp,$num),%r13	# end of powers table (+size optimization)
+	shr	\$5+5,$num
+	movd	`($win64?56:8)`(%rax),%xmm5	# load 7th argument
+	sub	\$1,$num
+	lea	.Linc(%rip),%rax
+	mov	%r13,16+8(%rsp)		# end of b[num]
+	mov	$num,24+8(%rsp)		# inner counter
+	mov	$rp, 56+8(%rsp)		# save $rp
+___
+my ($aptr, $bptr, $nptr, $tptr, $mi,  $bi,  $zero, $num)=
+   ("%rsi","%rdi","%rcx","%rbx","%r8","%r9","%rbp","%rax");
+my $rptr=$bptr;
+my $STRIDE=2**5*8;		# 5 is "window size"
+my $N=$STRIDE/4;		# should match cache line size
+$code.=<<___;
+	movdqa	0(%rax),%xmm0		# 00000001000000010000000000000000
+	movdqa	16(%rax),%xmm1		# 00000002000000020000000200000002
+	lea	88-112(%rsp,%r10),%r10	# place the mask after tp[num+1] (+ICache optimizaton)
+	lea	128($bp),$bptr		# size optimization
+
+	pshufd	\$0,%xmm5,%xmm5		# broadcast index
+	movdqa	%xmm1,%xmm4
+	.byte	0x67
+	movdqa	%xmm1,%xmm2
+___
+########################################################################
+# calculate mask by comparing 0..31 to index and save result to stack
+#
+$code.=<<___;
+	.byte	0x67
+	paddd	%xmm0,%xmm1
+	pcmpeqd	%xmm5,%xmm0		# compare to 1,0
+	movdqa	%xmm4,%xmm3
+___
+for($i=0;$i<$STRIDE/16-4;$i+=4) {
+$code.=<<___;
+	paddd	%xmm1,%xmm2
+	pcmpeqd	%xmm5,%xmm1		# compare to 3,2
+	movdqa	%xmm0,`16*($i+0)+112`(%r10)
+	movdqa	%xmm4,%xmm0
+
+	paddd	%xmm2,%xmm3
+	pcmpeqd	%xmm5,%xmm2		# compare to 5,4
+	movdqa	%xmm1,`16*($i+1)+112`(%r10)
+	movdqa	%xmm4,%xmm1
+
+	paddd	%xmm3,%xmm0
+	pcmpeqd	%xmm5,%xmm3		# compare to 7,6
+	movdqa	%xmm2,`16*($i+2)+112`(%r10)
+	movdqa	%xmm4,%xmm2
+
+	paddd	%xmm0,%xmm1
+	pcmpeqd	%xmm5,%xmm0
+	movdqa	%xmm3,`16*($i+3)+112`(%r10)
+	movdqa	%xmm4,%xmm3
+___
+}
+$code.=<<___;				# last iteration can be optimized
+	.byte	0x67
+	paddd	%xmm1,%xmm2
+	pcmpeqd	%xmm5,%xmm1
+	movdqa	%xmm0,`16*($i+0)+112`(%r10)
+
+	paddd	%xmm2,%xmm3
+	pcmpeqd	%xmm5,%xmm2
+	movdqa	%xmm1,`16*($i+1)+112`(%r10)
+
+	pcmpeqd	%xmm5,%xmm3
+	movdqa	%xmm2,`16*($i+2)+112`(%r10)
+
+	pand	`16*($i+0)-128`($bptr),%xmm0	# while it's still in register
+	pand	`16*($i+1)-128`($bptr),%xmm1
+	pand	`16*($i+2)-128`($bptr),%xmm2
+	movdqa	%xmm3,`16*($i+3)+112`(%r10)
+	pand	`16*($i+3)-128`($bptr),%xmm3
+	por	%xmm2,%xmm0
+	por	%xmm3,%xmm1
+___
+for($i=0;$i<$STRIDE/16-4;$i+=4) {
+$code.=<<___;
+	movdqa	`16*($i+0)-128`($bptr),%xmm4
+	movdqa	`16*($i+1)-128`($bptr),%xmm5
+	movdqa	`16*($i+2)-128`($bptr),%xmm2
+	pand	`16*($i+0)+112`(%r10),%xmm4
+	movdqa	`16*($i+3)-128`($bptr),%xmm3
+	pand	`16*($i+1)+112`(%r10),%xmm5
+	por	%xmm4,%xmm0
+	pand	`16*($i+2)+112`(%r10),%xmm2
+	por	%xmm5,%xmm1
+	pand	`16*($i+3)+112`(%r10),%xmm3
+	por	%xmm2,%xmm0
+	por	%xmm3,%xmm1
+___
+}
+$code.=<<___;
+	pxor	%xmm1,%xmm0
+	pshufd	\$0x4e,%xmm0,%xmm1
+	por	%xmm1,%xmm0
+	lea	$STRIDE($bptr),$bptr
+	movq	%xmm0,%rdx		# bp[0]
+	lea	64+8*4+8(%rsp),$tptr
+
+	mov	%rdx,$bi
+	mulx	0*8($aptr),$mi,%rax	# a[0]*b[0]
+	mulx	1*8($aptr),%r11,%r12	# a[1]*b[0]
+	add	%rax,%r11
+	mulx	2*8($aptr),%rax,%r13	# ...
+	adc	%rax,%r12
+	adc	\$0,%r13
+	mulx	3*8($aptr),%rax,%r14
+
+	mov	$mi,%r15
+	imulq	32+8(%rsp),$mi		# "t[0]"*n0
+	xor	$zero,$zero		# cf=0, of=0
+	mov	$mi,%rdx
+
+	mov	$bptr,8+8(%rsp)		# off-load &b[i]
+
+	lea	4*8($aptr),$aptr
+	adcx	%rax,%r13
+	adcx	$zero,%r14		# cf=0
+
+	mulx	0*8($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	24+8(%rsp),$bptr	# counter value
+	mov	%r10,-8*4($tptr)
+	adcx	%rax,%r11
+	adox	%r13,%r12
+	mulx	3*8($nptr),%rax,%r15
+	 mov	$bi,%rdx
+	mov	%r11,-8*3($tptr)
+	adcx	%rax,%r12
+	adox	$zero,%r15		# of=0
+	lea	4*8($nptr),$nptr
+	mov	%r12,-8*2($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	$bptr			# of=0, pass cf
+	jnz	.Lmulx4x_1st
+
+	mov	8(%rsp),$num		# load -num
+	adc	$zero,%r15		# modulo-scheduled
+	lea	($aptr,$num),$aptr	# rewind $aptr
+	add	%r15,%r14
+	mov	8+8(%rsp),$bptr		# re-load &b[i]
+	adc	$zero,$zero		# top-most carry
+	mov	%r14,-1*8($tptr)
+	jmp	.Lmulx4x_outer
+
+.align	32
+.Lmulx4x_outer:
+	lea	16-256($tptr),%r10	# where 256-byte mask is (+density control)
+	pxor	%xmm4,%xmm4
+	.byte	0x67,0x67
+	pxor	%xmm5,%xmm5
+___
+for($i=0;$i<$STRIDE/16;$i+=4) {
+$code.=<<___;
+	movdqa	`16*($i+0)-128`($bptr),%xmm0
+	movdqa	`16*($i+1)-128`($bptr),%xmm1
+	movdqa	`16*($i+2)-128`($bptr),%xmm2
+	pand	`16*($i+0)+256`(%r10),%xmm0
+	movdqa	`16*($i+3)-128`($bptr),%xmm3
+	pand	`16*($i+1)+256`(%r10),%xmm1
+	por	%xmm0,%xmm4
+	pand	`16*($i+2)+256`(%r10),%xmm2
+	por	%xmm1,%xmm5
+	pand	`16*($i+3)+256`(%r10),%xmm3
+	por	%xmm2,%xmm4
+	por	%xmm3,%xmm5
+___
+}
+$code.=<<___;
+	por	%xmm5,%xmm4
+	pshufd	\$0x4e,%xmm4,%xmm0
+	por	%xmm4,%xmm0
+	lea	$STRIDE($bptr),$bptr
+	movq	%xmm0,%rdx		# m0=bp[i]
+
+	mov	$zero,($tptr)		# save top-most carry
+	lea	4*8($tptr,$num),$tptr	# rewind $tptr
+	mulx	0*8($aptr),$mi,%r11	# a[0]*b[i]
+	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		# +t[0]
+	adcx	%r14,%r11
+	mulx	2*8($aptr),%r15,%r13	# ...
+	adox	-3*8($tptr),%r11
+	adcx	%r15,%r12
+	mulx	3*8($aptr),%rdx,%r14
+	adox	-2*8($tptr),%r12
+	adcx	%rdx,%r13
+	lea	($nptr,$num),$nptr	# rewind $nptr
+	lea	4*8($aptr),$aptr
+	adox	-1*8($tptr),%r13
+	adcx	$zero,%r14
+	adox	$zero,%r14
+
+	mov	$mi,%r15
+	imulq	32+8(%rsp),$mi		# "t[0]"*n0
+
+	mov	$mi,%rdx
+	xor	$zero,$zero		# cf=0, of=0
+	mov	$bptr,8+8(%rsp)		# off-load &b[i]
+
+	mulx	0*8($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
+	adcx	%rax,%r11
+	adox	%r13,%r12
+	mulx	3*8($nptr),%rax,%r15
+	 mov	$bi,%rdx
+	mov	24+8(%rsp),$bptr	# counter value
+	mov	%r10,-8*4($tptr)
+	adcx	%rax,%r12
+	mov	%r11,-8*3($tptr)
+	adox	$zero,%r15		# of=0
+	mov	%r12,-8*2($tptr)
+	lea	4*8($nptr),$nptr
+	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($tptr)
+	adcx	%rax,%r12
+	adox	%r15,%r13
+	mov	%r11,-4*8($tptr)
+	mulx	3*8($nptr),%rax,%r15
+	 mov	$bi,%rdx
+	lea	4*8($nptr),$nptr
+	mov	%r12,-3*8($tptr)
+	adcx	%rax,%r13
+	adox	$zero,%r15
+	mov	%r13,-2*8($tptr)
+
+	dec	$bptr			# of=0, pass cf
+	jnz	.Lmulx4x_inner
+
+	mov	0+8(%rsp),$num		# load -num
+	adc	$zero,%r15		# modulo-scheduled
+	sub	0*8($tptr),$bptr	# pull top-most carry to %cf
+	mov	8+8(%rsp),$bptr		# re-load &b[i]
+	mov	16+8(%rsp),%r10
+	adc	%r15,%r14
+	lea	($aptr,$num),$aptr	# rewind $aptr
+	adc	$zero,$zero		# top-most carry
+	mov	%r14,-1*8($tptr)
+
+	cmp	%r10,$bptr
+	jb	.Lmulx4x_outer
+
+	mov	-8($nptr),%r10
+	mov	$zero,%r8
+	mov	($nptr,$num),%r12
+	lea	($nptr,$num),%rbp	# rewind $nptr
+	mov	$num,%rcx
+	lea	($tptr,$num),%rdi	# rewind $tptr
+	xor	%eax,%eax
+	xor	%r15,%r15
+	sub	%r14,%r10		# compare top-most words
+	adc	%r15,%r15
+	or	%r15,%r8
+	sar	\$3+2,%rcx
+	sub	%r8,%rax		# %rax=-%r8
+	mov	56+8(%rsp),%rdx		# restore rp
+	dec	%r12			# so that after 'not' we get -n[0]
+	mov	8*1(%rbp),%r13
+	xor	%r8,%r8
+	mov	8*2(%rbp),%r14
+	mov	8*3(%rbp),%r15
+	jmp	.Lsqrx4x_sub_entry	# common post-condition
+.size	mulx4x_internal,.-mulx4x_internal
+___
+}{
+######################################################################
+# void bn_power5(
+my $rptr="%rdi";	# BN_ULONG *rptr,
+my $aptr="%rsi";	# const BN_ULONG *aptr,
+my $bptr="%rdx";	# const void *table,
+my $nptr="%rcx";	# const BN_ULONG *nptr,
+my $n0  ="%r8";		# const BN_ULONG *n0);
+my $num ="%r9";		# int num, has to be divisible by 8
+			# int pwr);
+
+my ($i,$j,$tptr)=("%rbp","%rcx",$rptr);
+my @A0=("%r10","%r11");
+my @A1=("%r12","%r13");
+my ($a0,$a1,$ai)=("%r14","%r15","%rbx");
+
+$code.=<<___;
+.type	bn_powerx5,\@function,6
+.align	32
+bn_powerx5:
+	mov	%rsp,%rax
+.Lpowerx5_enter:
+	push	%rbx
+	push	%rbp
+	push	%r12
+	push	%r13
+	push	%r14
+	push	%r15
+.Lpowerx5_prologue:
+
+	shl	\$3,${num}d		# convert $num to bytes
+	lea	($num,$num,2),%r10	# 3*$num in bytes
+	neg	$num
+	mov	($n0),$n0		# *n0
+
+	##############################################################
+	# Ensure that stack frame doesn't alias with $rptr+3*$num
+	# modulo 4096, which covers ret[num], am[num] and n[num]
+	# (see bn_exp.c). This is done to allow memory disambiguation
+	# logic do its magic. [Extra 256 bytes is for power mask
+	# calculated from 7th argument, the index.]
+	#
+	lea	-320(%rsp,$num,2),%r11
+	mov	%rsp,%rbp
+	sub	$rptr,%r11
+	and	\$4095,%r11
+	cmp	%r11,%r10
+	jb	.Lpwrx_sp_alt
+	sub	%r11,%rbp		# align with $aptr
+	lea	-320(%rbp,$num,2),%rbp	# future alloca(frame+2*$num*8+256)
+	jmp	.Lpwrx_sp_done
+
+.align	32
+.Lpwrx_sp_alt:
+	lea	4096-320(,$num,2),%r10
+	lea	-320(%rbp,$num,2),%rbp	# alloca(frame+2*$num*8+256)
+	sub	%r10,%r11
+	mov	\$0,%r10
+	cmovc	%r10,%r11
+	sub	%r11,%rbp
+.Lpwrx_sp_done:
+	and	\$-64,%rbp
+	mov	%rsp,%r11
+	sub	%rbp,%r11
+	and	\$-4096,%r11
+	lea	(%rbp,%r11),%rsp
+	mov	(%rsp),%r10
+	cmp	%rbp,%rsp
+	ja	.Lpwrx_page_walk
+	jmp	.Lpwrx_page_walk_done
+
+.Lpwrx_page_walk:
+	lea	-4096(%rsp),%rsp
+	mov	(%rsp),%r10
+	cmp	%rbp,%rsp
+	ja	.Lpwrx_page_walk
+.Lpwrx_page_walk_done:
+
+	mov	$num,%r10	
+	neg	$num
+
+	##############################################################
+	# Stack layout
+	#
+	# +0	saved $num, used in reduction section
+	# +8	&t[2*$num], used in reduction section
+	# +16	intermediate carry bit
+	# +24	top-most carry bit, used in reduction section
+	# +32	saved *n0
+	# +40	saved %rsp
+	# +48	t[2*$num]
+	#
+	pxor	%xmm0,%xmm0
+	movq	$rptr,%xmm1		# save $rptr
+	movq	$nptr,%xmm2		# save $nptr
+	movq	%r10, %xmm3		# -$num
+	movq	$bptr,%xmm4
+	mov	$n0,  32(%rsp)
+	mov	%rax, 40(%rsp)		# save original %rsp
+.Lpowerx5_body:
+
+	call	__bn_sqrx8x_internal
+	call	__bn_postx4x_internal
+	call	__bn_sqrx8x_internal
+	call	__bn_postx4x_internal
+	call	__bn_sqrx8x_internal
+	call	__bn_postx4x_internal
+	call	__bn_sqrx8x_internal
+	call	__bn_postx4x_internal
+	call	__bn_sqrx8x_internal
+	call	__bn_postx4x_internal
+
+	mov	%r10,$num		# -num
+	mov	$aptr,$rptr
+	movq	%xmm2,$nptr
+	movq	%xmm4,$bptr
+	mov	40(%rsp),%rax
+
+	call	mulx4x_internal
+
+	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
+.Lpowerx5_epilogue:
+	ret
+.size	bn_powerx5,.-bn_powerx5
+
+.globl	bn_sqrx8x_internal
+.hidden	bn_sqrx8x_internal
+.type	bn_sqrx8x_internal,\@abi-omnipotent
+.align	32
+bn_sqrx8x_internal:
+__bn_sqrx8x_internal:
+	##################################################################
+	# 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;
+	#
+	##################################################################
+	# a[7]a[7]a[6]a[6]a[5]a[5]a[4]a[4]a[3]a[3]a[2]a[2]a[1]a[1]a[0]a[0]
+	#                                                     a[1]a[0]
+	#                                                 a[2]a[0]
+	#                                             a[3]a[0]
+	#                                             a[2]a[1]
+	#                                         a[3]a[1]
+	#                                     a[3]a[2]
+	#
+	#                                         a[4]a[0]
+	#                                     a[5]a[0]
+	#                                 a[6]a[0]
+	#                             a[7]a[0]
+	#                                     a[4]a[1]
+	#                                 a[5]a[1]
+	#                             a[6]a[1]
+	#                         a[7]a[1]
+	#                                 a[4]a[2]
+	#                             a[5]a[2]
+	#                         a[6]a[2]
+	#                     a[7]a[2]
+	#                             a[4]a[3]
+	#                         a[5]a[3]
+	#                     a[6]a[3]
+	#                 a[7]a[3]
+	#
+	#                     a[5]a[4]
+	#                 a[6]a[4]
+	#             a[7]a[4]
+	#             a[6]a[5]
+	#         a[7]a[5]
+	#     a[7]a[6]
+	# a[7]a[7]a[6]a[6]a[5]a[5]a[4]a[4]a[3]a[3]a[2]a[2]a[1]a[1]a[0]a[0]
+___
+{
+my ($zero,$carry)=("%rbp","%rcx");
+my $aaptr=$zero;
+$code.=<<___;
+	lea	48+8(%rsp),$tptr
+	lea	($aptr,$num),$aaptr
+	mov	$num,0+8(%rsp)			# save $num
+	mov	$aaptr,8+8(%rsp)		# save end of $aptr
+	jmp	.Lsqr8x_zero_start
+
+.align	32
+.byte	0x66,0x66,0x66,0x2e,0x0f,0x1f,0x84,0x00,0x00,0x00,0x00,0x00
+.Lsqrx8x_zero:
+	.byte	0x3e
+	movdqa	%xmm0,0*8($tptr)
+	movdqa	%xmm0,2*8($tptr)
+	movdqa	%xmm0,4*8($tptr)
+	movdqa	%xmm0,6*8($tptr)
+.Lsqr8x_zero_start:			# aligned at 32
+	movdqa	%xmm0,8*8($tptr)
+	movdqa	%xmm0,10*8($tptr)
+	movdqa	%xmm0,12*8($tptr)
+	movdqa	%xmm0,14*8($tptr)
+	lea	16*8($tptr),$tptr
+	sub	\$64,$num
+	jnz	.Lsqrx8x_zero
+
+	mov	0*8($aptr),%rdx		# a[0], modulo-scheduled
+	#xor	%r9,%r9			# t[1], ex-$num, zero already
+	xor	%r10,%r10
+	xor	%r11,%r11
+	xor	%r12,%r12
+	xor	%r13,%r13
+	xor	%r14,%r14
+	xor	%r15,%r15
+	lea	48+8(%rsp),$tptr
+	xor	$zero,$zero		# cf=0, cf=0
+	jmp	.Lsqrx8x_outer_loop
+
+.align	32
+.Lsqrx8x_outer_loop:
+	mulx	1*8($aptr),%r8,%rax	# a[1]*a[0]
+	adcx	%r9,%r8			# a[1]*a[0]+=t[1]
+	adox	%rax,%r10
+	mulx	2*8($aptr),%r9,%rax	# a[2]*a[0]
+	adcx	%r10,%r9
+	adox	%rax,%r11
+	.byte	0xc4,0xe2,0xab,0xf6,0x86,0x18,0x00,0x00,0x00	# mulx	3*8($aptr),%r10,%rax	# ...
+	adcx	%r11,%r10
+	adox	%rax,%r12
+	.byte	0xc4,0xe2,0xa3,0xf6,0x86,0x20,0x00,0x00,0x00	# mulx	4*8($aptr),%r11,%rax
+	adcx	%r12,%r11
+	adox	%rax,%r13
+	mulx	5*8($aptr),%r12,%rax
+	adcx	%r13,%r12
+	adox	%rax,%r14
+	mulx	6*8($aptr),%r13,%rax
+	adcx	%r14,%r13
+	adox	%r15,%rax
+	mulx	7*8($aptr),%r14,%r15
+	 mov	1*8($aptr),%rdx		# a[1]
+	adcx	%rax,%r14
+	adox	$zero,%r15
+	adc	8*8($tptr),%r15
+	mov	%r8,1*8($tptr)		# t[1]
+	mov	%r9,2*8($tptr)		# t[2]
+	sbb	$carry,$carry		# mov %cf,$carry
+	xor	$zero,$zero		# cf=0, of=0
+
+
+	mulx	2*8($aptr),%r8,%rbx	# a[2]*a[1]
+	mulx	3*8($aptr),%r9,%rax	# a[3]*a[1]
+	adcx	%r10,%r8
+	adox	%rbx,%r9
+	mulx	4*8($aptr),%r10,%rbx	# ...
+	adcx	%r11,%r9
+	adox	%rax,%r10
+	.byte	0xc4,0xe2,0xa3,0xf6,0x86,0x28,0x00,0x00,0x00	# mulx	5*8($aptr),%r11,%rax
+	adcx	%r12,%r10
+	adox	%rbx,%r11
+	.byte	0xc4,0xe2,0x9b,0xf6,0x9e,0x30,0x00,0x00,0x00	# mulx	6*8($aptr),%r12,%rbx
+	adcx	%r13,%r11
+	adox	%r14,%r12
+	.byte	0xc4,0x62,0x93,0xf6,0xb6,0x38,0x00,0x00,0x00	# mulx	7*8($aptr),%r13,%r14
+	 mov	2*8($aptr),%rdx		# a[2]
+	adcx	%rax,%r12
+	adox	%rbx,%r13
+	adcx	%r15,%r13
+	adox	$zero,%r14		# of=0
+	adcx	$zero,%r14		# cf=0
+
+	mov	%r8,3*8($tptr)		# t[3]
+	mov	%r9,4*8($tptr)		# t[4]
+
+	mulx	3*8($aptr),%r8,%rbx	# a[3]*a[2]
+	mulx	4*8($aptr),%r9,%rax	# a[4]*a[2]
+	adcx	%r10,%r8
+	adox	%rbx,%r9
+	mulx	5*8($aptr),%r10,%rbx	# ...
+	adcx	%r11,%r9
+	adox	%rax,%r10
+	.byte	0xc4,0xe2,0xa3,0xf6,0x86,0x30,0x00,0x00,0x00	# mulx	6*8($aptr),%r11,%rax
+	adcx	%r12,%r10
+	adox	%r13,%r11
+	.byte	0xc4,0x62,0x9b,0xf6,0xae,0x38,0x00,0x00,0x00	# mulx	7*8($aptr),%r12,%r13
+	.byte	0x3e
+	 mov	3*8($aptr),%rdx		# a[3]
+	adcx	%rbx,%r11
+	adox	%rax,%r12
+	adcx	%r14,%r12
+	mov	%r8,5*8($tptr)		# t[5]
+	mov	%r9,6*8($tptr)		# t[6]
+	 mulx	4*8($aptr),%r8,%rax	# a[4]*a[3]
+	adox	$zero,%r13		# of=0
+	adcx	$zero,%r13		# cf=0
+
+	mulx	5*8($aptr),%r9,%rbx	# a[5]*a[3]
+	adcx	%r10,%r8
+	adox	%rax,%r9
+	mulx	6*8($aptr),%r10,%rax	# ...
+	adcx	%r11,%r9
+	adox	%r12,%r10
+	mulx	7*8($aptr),%r11,%r12
+	 mov	4*8($aptr),%rdx		# a[4]
+	 mov	5*8($aptr),%r14		# a[5]
+	adcx	%rbx,%r10
+	adox	%rax,%r11
+	 mov	6*8($aptr),%r15		# a[6]
+	adcx	%r13,%r11
+	adox	$zero,%r12		# of=0
+	adcx	$zero,%r12		# cf=0
+
+	mov	%r8,7*8($tptr)		# t[7]
+	mov	%r9,8*8($tptr)		# t[8]
+
+	mulx	%r14,%r9,%rax		# a[5]*a[4]
+	 mov	7*8($aptr),%r8		# a[7]
+	adcx	%r10,%r9
+	mulx	%r15,%r10,%rbx		# a[6]*a[4]
+	adox	%rax,%r10
+	adcx	%r11,%r10
+	mulx	%r8,%r11,%rax		# a[7]*a[4]
+	 mov	%r14,%rdx		# a[5]
+	adox	%rbx,%r11
+	adcx	%r12,%r11
+	#adox	$zero,%rax		# of=0
+	adcx	$zero,%rax		# cf=0
+
+	mulx	%r15,%r14,%rbx		# a[6]*a[5]
+	mulx	%r8,%r12,%r13		# a[7]*a[5]
+	 mov	%r15,%rdx		# a[6]
+	 lea	8*8($aptr),$aptr
+	adcx	%r14,%r11
+	adox	%rbx,%r12
+	adcx	%rax,%r12
+	adox	$zero,%r13
+
+	.byte	0x67,0x67
+	mulx	%r8,%r8,%r14		# a[7]*a[6]
+	adcx	%r8,%r13
+	adcx	$zero,%r14
+
+	cmp	8+8(%rsp),$aptr
+	je	.Lsqrx8x_outer_break
+
+	neg	$carry			# mov $carry,%cf
+	mov	\$-8,%rcx
+	mov	$zero,%r15
+	mov	8*8($tptr),%r8
+	adcx	9*8($tptr),%r9		# +=t[9]
+	adcx	10*8($tptr),%r10	# ...
+	adcx	11*8($tptr),%r11
+	adc	12*8($tptr),%r12
+	adc	13*8($tptr),%r13
+	adc	14*8($tptr),%r14
+	adc	15*8($tptr),%r15
+	lea	($aptr),$aaptr
+	lea	2*64($tptr),$tptr
+	sbb	%rax,%rax		# mov %cf,$carry
+
+	mov	-64($aptr),%rdx		# a[0]
+	mov	%rax,16+8(%rsp)		# offload $carry
+	mov	$tptr,24+8(%rsp)
+
+	#lea	8*8($tptr),$tptr	# see 2*8*8($tptr) above
+	xor	%eax,%eax		# cf=0, of=0
+	jmp	.Lsqrx8x_loop
+
+.align	32
+.Lsqrx8x_loop:
+	mov	%r8,%rbx
+	mulx	0*8($aaptr),%rax,%r8	# a[8]*a[i]
+	adcx	%rax,%rbx		# +=t[8]
+	adox	%r9,%r8
+
+	mulx	1*8($aaptr),%rax,%r9	# ...
+	adcx	%rax,%r8
+	adox	%r10,%r9
+
+	mulx	2*8($aaptr),%rax,%r10
+	adcx	%rax,%r9
+	adox	%r11,%r10
+
+	mulx	3*8($aaptr),%rax,%r11
+	adcx	%rax,%r10
+	adox	%r12,%r11
+
+	.byte	0xc4,0x62,0xfb,0xf6,0xa5,0x20,0x00,0x00,0x00	# mulx	4*8($aaptr),%rax,%r12
+	adcx	%rax,%r11
+	adox	%r13,%r12
+
+	mulx	5*8($aaptr),%rax,%r13
+	adcx	%rax,%r12
+	adox	%r14,%r13
+
+	mulx	6*8($aaptr),%rax,%r14
+	 mov	%rbx,($tptr,%rcx,8)	# store t[8+i]
+	 mov	\$0,%ebx
+	adcx	%rax,%r13
+	adox	%r15,%r14
+
+	.byte	0xc4,0x62,0xfb,0xf6,0xbd,0x38,0x00,0x00,0x00	# mulx	7*8($aaptr),%rax,%r15
+	 mov	8($aptr,%rcx,8),%rdx	# a[i]
+	adcx	%rax,%r14
+	adox	%rbx,%r15		# %rbx is 0, of=0
+	adcx	%rbx,%r15		# cf=0
+
+	.byte	0x67
+	inc	%rcx			# of=0
+	jnz	.Lsqrx8x_loop
+
+	lea	8*8($aaptr),$aaptr
+	mov	\$-8,%rcx
+	cmp	8+8(%rsp),$aaptr	# done?
+	je	.Lsqrx8x_break
+
+	sub	16+8(%rsp),%rbx		# mov 16(%rsp),%cf
+	.byte	0x66
+	mov	-64($aptr),%rdx
+	adcx	0*8($tptr),%r8
+	adcx	1*8($tptr),%r9
+	adc	2*8($tptr),%r10
+	adc	3*8($tptr),%r11
+	adc	4*8($tptr),%r12
+	adc	5*8($tptr),%r13
+	adc	6*8($tptr),%r14
+	adc	7*8($tptr),%r15
+	lea	8*8($tptr),$tptr
+	.byte	0x67
+	sbb	%rax,%rax		# mov %cf,%rax
+	xor	%ebx,%ebx		# cf=0, of=0
+	mov	%rax,16+8(%rsp)		# offload carry
+	jmp	.Lsqrx8x_loop
+
+.align	32
+.Lsqrx8x_break:
+	sub	16+8(%rsp),%r8		# consume last carry
+	mov	24+8(%rsp),$carry	# initial $tptr, borrow $carry
+	mov	0*8($aptr),%rdx		# a[8], modulo-scheduled
+	xor	%ebp,%ebp		# xor	$zero,$zero
+	mov	%r8,0*8($tptr)
+	cmp	$carry,$tptr		# cf=0, of=0
+	je	.Lsqrx8x_outer_loop
+
+	mov	%r9,1*8($tptr)
+	 mov	1*8($carry),%r9
+	mov	%r10,2*8($tptr)
+	 mov	2*8($carry),%r10
+	mov	%r11,3*8($tptr)
+	 mov	3*8($carry),%r11
+	mov	%r12,4*8($tptr)
+	 mov	4*8($carry),%r12
+	mov	%r13,5*8($tptr)
+	 mov	5*8($carry),%r13
+	mov	%r14,6*8($tptr)
+	 mov	6*8($carry),%r14
+	mov	%r15,7*8($tptr)
+	 mov	7*8($carry),%r15
+	mov	$carry,$tptr
+	jmp	.Lsqrx8x_outer_loop
+
+.align	32
+.Lsqrx8x_outer_break:
+	mov	%r9,9*8($tptr)		# t[9]
+	 movq	%xmm3,%rcx		# -$num
+	mov	%r10,10*8($tptr)	# ...
+	mov	%r11,11*8($tptr)
+	mov	%r12,12*8($tptr)
+	mov	%r13,13*8($tptr)
+	mov	%r14,14*8($tptr)
+___
+}{
+my $i="%rcx";
+$code.=<<___;
+	lea	48+8(%rsp),$tptr
+	mov	($aptr,$i),%rdx		# a[0]
+
+	mov	8($tptr),$A0[1]		# t[1]
+	xor	$A0[0],$A0[0]		# t[0], of=0, cf=0
+	mov	0+8(%rsp),$num		# restore $num
+	adox	$A0[1],$A0[1]
+	 mov	16($tptr),$A1[0]	# t[2]	# prefetch
+	 mov	24($tptr),$A1[1]	# t[3]	# prefetch
+	#jmp	.Lsqrx4x_shift_n_add	# happens to be aligned
+
+.align	32
+.Lsqrx4x_shift_n_add:
+	mulx	%rdx,%rax,%rbx
+	 adox	$A1[0],$A1[0]
+	adcx	$A0[0],%rax
+	 .byte	0x48,0x8b,0x94,0x0e,0x08,0x00,0x00,0x00	# mov	8($aptr,$i),%rdx	# a[i+1]	# prefetch
+	 .byte	0x4c,0x8b,0x97,0x20,0x00,0x00,0x00	# mov	32($tptr),$A0[0]	# t[2*i+4]	# prefetch
+	 adox	$A1[1],$A1[1]
+	adcx	$A0[1],%rbx
+	 mov	40($tptr),$A0[1]		# t[2*i+4+1]	# prefetch
+	mov	%rax,0($tptr)
+	mov	%rbx,8($tptr)
+
+	mulx	%rdx,%rax,%rbx
+	 adox	$A0[0],$A0[0]
+	adcx	$A1[0],%rax
+	 mov	16($aptr,$i),%rdx	# a[i+2]	# prefetch
+	 mov	48($tptr),$A1[0]	# t[2*i+6]	# prefetch
+	 adox	$A0[1],$A0[1]
+	adcx	$A1[1],%rbx
+	 mov	56($tptr),$A1[1]	# t[2*i+6+1]	# prefetch
+	mov	%rax,16($tptr)
+	mov	%rbx,24($tptr)
+
+	mulx	%rdx,%rax,%rbx
+	 adox	$A1[0],$A1[0]
+	adcx	$A0[0],%rax
+	 mov	24($aptr,$i),%rdx	# a[i+3]	# prefetch
+	 lea	32($i),$i
+	 mov	64($tptr),$A0[0]	# t[2*i+8]	# prefetch
+	 adox	$A1[1],$A1[1]
+	adcx	$A0[1],%rbx
+	 mov	72($tptr),$A0[1]	# t[2*i+8+1]	# prefetch
+	mov	%rax,32($tptr)
+	mov	%rbx,40($tptr)
+
+	mulx	%rdx,%rax,%rbx
+	 adox	$A0[0],$A0[0]
+	adcx	$A1[0],%rax
+	jrcxz	.Lsqrx4x_shift_n_add_break
+	 .byte	0x48,0x8b,0x94,0x0e,0x00,0x00,0x00,0x00	# mov	0($aptr,$i),%rdx	# a[i+4]	# prefetch
+	 adox	$A0[1],$A0[1]
+	adcx	$A1[1],%rbx
+	 mov	80($tptr),$A1[0]	# t[2*i+10]	# prefetch
+	 mov	88($tptr),$A1[1]	# t[2*i+10+1]	# prefetch
+	mov	%rax,48($tptr)
+	mov	%rbx,56($tptr)
+	lea	64($tptr),$tptr
+	nop
+	jmp	.Lsqrx4x_shift_n_add
+
+.align	32
+.Lsqrx4x_shift_n_add_break:
+	adcx	$A1[1],%rbx
+	mov	%rax,48($tptr)
+	mov	%rbx,56($tptr)
+	lea	64($tptr),$tptr		# end of t[] buffer
+___
+}
+######################################################################
+# Montgomery reduction part, "word-by-word" algorithm.
+#
+# This new path is inspired by multiple submissions from Intel, by
+# Shay Gueron, Vlad Krasnov, Erdinc Ozturk, James Guilford,
+# Vinodh Gopal...
+{
+my ($nptr,$carry,$m0)=("%rbp","%rsi","%rdx");
+
+$code.=<<___;
+	movq	%xmm2,$nptr
+__bn_sqrx8x_reduction:
+	xor	%eax,%eax		# initial top-most carry bit
+	mov	32+8(%rsp),%rbx		# n0
+	mov	48+8(%rsp),%rdx		# "%r8", 8*0($tptr)
+	lea	-8*8($nptr,$num),%rcx	# end of n[]
+	#lea	48+8(%rsp,$num,2),$tptr	# end of t[] buffer
+	mov	%rcx, 0+8(%rsp)		# save end of n[]
+	mov	$tptr,8+8(%rsp)		# save end of t[]
+
+	lea	48+8(%rsp),$tptr		# initial t[] window
+	jmp	.Lsqrx8x_reduction_loop
+
+.align	32
+.Lsqrx8x_reduction_loop:
+	mov	8*1($tptr),%r9
+	mov	8*2($tptr),%r10
+	mov	8*3($tptr),%r11
+	mov	8*4($tptr),%r12
+	mov	%rdx,%r8
+	imulq	%rbx,%rdx		# n0*a[i]
+	mov	8*5($tptr),%r13
+	mov	8*6($tptr),%r14
+	mov	8*7($tptr),%r15
+	mov	%rax,24+8(%rsp)		# store top-most carry bit
+
+	lea	8*8($tptr),$tptr
+	xor	$carry,$carry		# cf=0,of=0
+	mov	\$-8,%rcx
+	jmp	.Lsqrx8x_reduce
+
+.align	32
+.Lsqrx8x_reduce:
+	mov	%r8, %rbx
+	mulx	8*0($nptr),%rax,%r8	# n[0]
+	adcx	%rbx,%rax		# discarded
+	adox	%r9,%r8
+
+	mulx	8*1($nptr),%rbx,%r9	# n[1]
+	adcx	%rbx,%r8
+	adox	%r10,%r9
+
+	mulx	8*2($nptr),%rbx,%r10
+	adcx	%rbx,%r9
+	adox	%r11,%r10
+
+	mulx	8*3($nptr),%rbx,%r11
+	adcx	%rbx,%r10
+	adox	%r12,%r11
+
+	.byte	0xc4,0x62,0xe3,0xf6,0xa5,0x20,0x00,0x00,0x00	# mulx	8*4($nptr),%rbx,%r12
+	 mov	%rdx,%rax
+	 mov	%r8,%rdx
+	adcx	%rbx,%r11
+	adox	%r13,%r12
+
+	 mulx	32+8(%rsp),%rbx,%rdx	# %rdx discarded
+	 mov	%rax,%rdx
+	 mov	%rax,64+48+8(%rsp,%rcx,8)	# put aside n0*a[i]
+
+	mulx	8*5($nptr),%rax,%r13
+	adcx	%rax,%r12
+	adox	%r14,%r13
+
+	mulx	8*6($nptr),%rax,%r14
+	adcx	%rax,%r13
+	adox	%r15,%r14
+
+	mulx	8*7($nptr),%rax,%r15
+	 mov	%rbx,%rdx
+	adcx	%rax,%r14
+	adox	$carry,%r15		# $carry is 0
+	adcx	$carry,%r15		# cf=0
+
+	.byte	0x67,0x67,0x67
+	inc	%rcx			# of=0
+	jnz	.Lsqrx8x_reduce
+
+	mov	$carry,%rax		# xor	%rax,%rax
+	cmp	0+8(%rsp),$nptr		# end of n[]?
+	jae	.Lsqrx8x_no_tail
+
+	mov	48+8(%rsp),%rdx		# pull n0*a[0]
+	add	8*0($tptr),%r8
+	lea	8*8($nptr),$nptr
+	mov	\$-8,%rcx
+	adcx	8*1($tptr),%r9
+	adcx	8*2($tptr),%r10
+	adc	8*3($tptr),%r11
+	adc	8*4($tptr),%r12
+	adc	8*5($tptr),%r13
+	adc	8*6($tptr),%r14
+	adc	8*7($tptr),%r15
+	lea	8*8($tptr),$tptr
+	sbb	%rax,%rax		# top carry
+
+	xor	$carry,$carry		# of=0, cf=0
+	mov	%rax,16+8(%rsp)
+	jmp	.Lsqrx8x_tail
+
+.align	32
+.Lsqrx8x_tail:
+	mov	%r8,%rbx
+	mulx	8*0($nptr),%rax,%r8
+	adcx	%rax,%rbx
+	adox	%r9,%r8
+
+	mulx	8*1($nptr),%rax,%r9
+	adcx	%rax,%r8
+	adox	%r10,%r9
+
+	mulx	8*2($nptr),%rax,%r10
+	adcx	%rax,%r9
+	adox	%r11,%r10
+
+	mulx	8*3($nptr),%rax,%r11
+	adcx	%rax,%r10
+	adox	%r12,%r11
+
+	.byte	0xc4,0x62,0xfb,0xf6,0xa5,0x20,0x00,0x00,0x00	# mulx	8*4($nptr),%rax,%r12
+	adcx	%rax,%r11
+	adox	%r13,%r12
+
+	mulx	8*5($nptr),%rax,%r13
+	adcx	%rax,%r12
+	adox	%r14,%r13
+
+	mulx	8*6($nptr),%rax,%r14
+	adcx	%rax,%r13
+	adox	%r15,%r14
+
+	mulx	8*7($nptr),%rax,%r15
+	 mov	72+48+8(%rsp,%rcx,8),%rdx	# pull n0*a[i]
+	adcx	%rax,%r14
+	adox	$carry,%r15
+	 mov	%rbx,($tptr,%rcx,8)	# save result
+	 mov	%r8,%rbx
+	adcx	$carry,%r15		# cf=0
+
+	inc	%rcx			# of=0
+	jnz	.Lsqrx8x_tail
+
+	cmp	0+8(%rsp),$nptr		# end of n[]?
+	jae	.Lsqrx8x_tail_done	# break out of loop
+
+	sub	16+8(%rsp),$carry	# mov 16(%rsp),%cf
+	 mov	48+8(%rsp),%rdx		# pull n0*a[0]
+	 lea	8*8($nptr),$nptr
+	adc	8*0($tptr),%r8
+	adc	8*1($tptr),%r9
+	adc	8*2($tptr),%r10
+	adc	8*3($tptr),%r11
+	adc	8*4($tptr),%r12
+	adc	8*5($tptr),%r13
+	adc	8*6($tptr),%r14
+	adc	8*7($tptr),%r15
+	lea	8*8($tptr),$tptr
+	sbb	%rax,%rax
+	sub	\$8,%rcx		# mov	\$-8,%rcx
+
+	xor	$carry,$carry		# of=0, cf=0
+	mov	%rax,16+8(%rsp)
+	jmp	.Lsqrx8x_tail
+
+.align	32
+.Lsqrx8x_tail_done:
+	xor	%rax,%rax
+	add	24+8(%rsp),%r8		# can this overflow?
+	adc	\$0,%r9
+	adc	\$0,%r10
+	adc	\$0,%r11
+	adc	\$0,%r12
+	adc	\$0,%r13
+	adc	\$0,%r14
+	adc	\$0,%r15
+	adc	\$0,%rax
+
+	sub	16+8(%rsp),$carry	# mov 16(%rsp),%cf
+.Lsqrx8x_no_tail:			# %cf is 0 if jumped here
+	adc	8*0($tptr),%r8
+	 movq	%xmm3,%rcx
+	adc	8*1($tptr),%r9
+	 mov	8*7($nptr),$carry
+	 movq	%xmm2,$nptr		# restore $nptr
+	adc	8*2($tptr),%r10
+	adc	8*3($tptr),%r11
+	adc	8*4($tptr),%r12
+	adc	8*5($tptr),%r13
+	adc	8*6($tptr),%r14
+	adc	8*7($tptr),%r15
+	adc	\$0,%rax		# top-most carry
+
+	mov	32+8(%rsp),%rbx		# n0
+	mov	8*8($tptr,%rcx),%rdx	# modulo-scheduled "%r8"
+
+	mov	%r8,8*0($tptr)		# store top 512 bits
+	 lea	8*8($tptr),%r8		# borrow %r8
+	mov	%r9,8*1($tptr)
+	mov	%r10,8*2($tptr)
+	mov	%r11,8*3($tptr)
+	mov	%r12,8*4($tptr)
+	mov	%r13,8*5($tptr)
+	mov	%r14,8*6($tptr)
+	mov	%r15,8*7($tptr)
+
+	lea	8*8($tptr,%rcx),$tptr	# start of current t[] window
+	cmp	8+8(%rsp),%r8		# end of t[]?
+	jb	.Lsqrx8x_reduction_loop
+	ret
+.size	bn_sqrx8x_internal,.-bn_sqrx8x_internal
+___
+}
+##############################################################
+# Post-condition, 4x unrolled
+#
+{
+my ($rptr,$nptr)=("%rdx","%rbp");
+$code.=<<___;
+.align	32
+__bn_postx4x_internal:
+	mov	8*0($nptr),%r12
+	mov	%rcx,%r10		# -$num
+	mov	%rcx,%r9		# -$num
+	neg	%rax
+	sar	\$3+2,%rcx
+	#lea	48+8(%rsp,%r9),$tptr
+	movq	%xmm1,$rptr		# restore $rptr
+	movq	%xmm1,$aptr		# prepare for back-to-back call
+	dec	%r12			# so that after 'not' we get -n[0]
+	mov	8*1($nptr),%r13
+	xor	%r8,%r8
+	mov	8*2($nptr),%r14
+	mov	8*3($nptr),%r15
+	jmp	.Lsqrx4x_sub_entry
+
+.align	16
+.Lsqrx4x_sub:
+	mov	8*0($nptr),%r12
+	mov	8*1($nptr),%r13
+	mov	8*2($nptr),%r14
+	mov	8*3($nptr),%r15
+.Lsqrx4x_sub_entry:
+	andn	%rax,%r12,%r12
+	lea	8*4($nptr),$nptr
+	andn	%rax,%r13,%r13
+	andn	%rax,%r14,%r14
+	andn	%rax,%r15,%r15
+
+	neg	%r8			# mov %r8,%cf
+	adc	8*0($tptr),%r12
+	adc	8*1($tptr),%r13
+	adc	8*2($tptr),%r14
+	adc	8*3($tptr),%r15
+	mov	%r12,8*0($rptr)
+	lea	8*4($tptr),$tptr
+	mov	%r13,8*1($rptr)
+	sbb	%r8,%r8			# mov %cf,%r8
+	mov	%r14,8*2($rptr)
+	mov	%r15,8*3($rptr)
+	lea	8*4($rptr),$rptr
+
+	inc	%rcx
+	jnz	.Lsqrx4x_sub
+
+	neg	%r9			# restore $num
+
+	ret
+.size	__bn_postx4x_internal,.-__bn_postx4x_internal
+___
+}
+}}}
+{
+my ($inp,$num,$tbl,$idx)=$win64?("%rcx","%edx","%r8", "%r9d") : # Win64 order
+				("%rdi","%esi","%rdx","%ecx");  # Unix order
+my $out=$inp;
+my $STRIDE=2**5*8;
+my $N=$STRIDE/4;
+
+$code.=<<___;
+.globl	bn_get_bits5
+.type	bn_get_bits5,\@abi-omnipotent
+.align	16
+bn_get_bits5:
+	lea	0($inp),%r10
+	lea	1($inp),%r11
+	mov	$num,%ecx
+	shr	\$4,$num
+	and	\$15,%ecx
+	lea	-8(%ecx),%eax
+	cmp	\$11,%ecx
+	cmova	%r11,%r10
+	cmova	%eax,%ecx
+	movzw	(%r10,$num,2),%eax
+	shrl	%cl,%eax
+	and	\$31,%eax
+	ret
+.size	bn_get_bits5,.-bn_get_bits5
+
+.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	32
+bn_gather5:
+.LSEH_begin_bn_gather5:			# Win64 thing, but harmless in other cases
+	# I can't trust assembler to use specific encoding:-(
+	.byte	0x4c,0x8d,0x14,0x24			#lea    (%rsp),%r10
+	.byte	0x48,0x81,0xec,0x08,0x01,0x00,0x00	#sub	$0x108,%rsp
+	lea	.Linc(%rip),%rax
+	and	\$-16,%rsp		# shouldn't be formally required
+
+	movd	$idx,%xmm5
+	movdqa	0(%rax),%xmm0		# 00000001000000010000000000000000
+	movdqa	16(%rax),%xmm1		# 00000002000000020000000200000002
+	lea	128($tbl),%r11		# size optimization
+	lea	128(%rsp),%rax		# size optimization
+
+	pshufd	\$0,%xmm5,%xmm5		# broadcast $idx
+	movdqa	%xmm1,%xmm4
+	movdqa	%xmm1,%xmm2
+___
+########################################################################
+# calculate mask by comparing 0..31 to $idx and save result to stack
+#
+for($i=0;$i<$STRIDE/16;$i+=4) {
+$code.=<<___;
+	paddd	%xmm0,%xmm1
+	pcmpeqd	%xmm5,%xmm0		# compare to 1,0
+___
+$code.=<<___	if ($i);
+	movdqa	%xmm3,`16*($i-1)-128`(%rax)
+___
+$code.=<<___;
+	movdqa	%xmm4,%xmm3
+
+	paddd	%xmm1,%xmm2
+	pcmpeqd	%xmm5,%xmm1		# compare to 3,2
+	movdqa	%xmm0,`16*($i+0)-128`(%rax)
+	movdqa	%xmm4,%xmm0
+
+	paddd	%xmm2,%xmm3
+	pcmpeqd	%xmm5,%xmm2		# compare to 5,4
+	movdqa	%xmm1,`16*($i+1)-128`(%rax)
+	movdqa	%xmm4,%xmm1
+
+	paddd	%xmm3,%xmm0
+	pcmpeqd	%xmm5,%xmm3		# compare to 7,6
+	movdqa	%xmm2,`16*($i+2)-128`(%rax)
+	movdqa	%xmm4,%xmm2
+___
+}
+$code.=<<___;
+	movdqa	%xmm3,`16*($i-1)-128`(%rax)
+	jmp	.Lgather
+
+.align	32
+.Lgather:
+	pxor	%xmm4,%xmm4
+	pxor	%xmm5,%xmm5
+___
+for($i=0;$i<$STRIDE/16;$i+=4) {
+$code.=<<___;
+	movdqa	`16*($i+0)-128`(%r11),%xmm0
+	movdqa	`16*($i+1)-128`(%r11),%xmm1
+	movdqa	`16*($i+2)-128`(%r11),%xmm2
+	pand	`16*($i+0)-128`(%rax),%xmm0
+	movdqa	`16*($i+3)-128`(%r11),%xmm3
+	pand	`16*($i+1)-128`(%rax),%xmm1
+	por	%xmm0,%xmm4
+	pand	`16*($i+2)-128`(%rax),%xmm2
+	por	%xmm1,%xmm5
+	pand	`16*($i+3)-128`(%rax),%xmm3
+	por	%xmm2,%xmm4
+	por	%xmm3,%xmm5
+___
+}
+$code.=<<___;
+	por	%xmm5,%xmm4
+	lea	$STRIDE(%r11),%r11
+	pshufd	\$0x4e,%xmm4,%xmm0
+	por	%xmm4,%xmm0
+	movq	%xmm0,($out)		# m0=bp[0]
+	lea	8($out),$out
+	sub	\$1,$num
+	jnz	.Lgather
+
+	lea	(%r10),%rsp
+	ret
+.LSEH_end_bn_gather5:
+.size	bn_gather5,.-bn_gather5
+___
+}
+$code.=<<___;
+.align	64
+.Linc:
+	.long	0,0, 1,1
+	.long	2,2, 2,2
+.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
+
+	mov	4(%r11),%r10d		# HandlerData[1]
+	lea	(%rsi,%r10),%r10	# epilogue label
+	cmp	%r10,%rbx		# context->Rip>=epilogue label
+	jb	.Lcommon_pop_regs
+
+	mov	152($context),%rax	# pull context->Rsp
+
+	mov	8(%r11),%r10d		# HandlerData[2]
+	lea	(%rsi,%r10),%r10	# epilogue label
+	cmp	%r10,%rbx		# context->Rip>=epilogue label
+	jae	.Lcommon_seh_tail
+
+	lea	.Lmul_epilogue(%rip),%r10
+	cmp	%r10,%rbx
+	ja	.Lbody_40
+
+	mov	192($context),%r10	# pull $num
+	mov	8(%rax,%r10,8),%rax	# pull saved stack pointer
+
+	jmp	.Lcommon_pop_regs
+
+.Lbody_40:
+	mov	40(%rax),%rax		# pull saved stack pointer
+.Lcommon_pop_regs:
+	mov	-8(%rax),%rbx
+	mov	-16(%rax),%rbp
+	mov	-24(%rax),%r12
+	mov	-32(%rax),%r13
+	mov	-40(%rax),%r14
+	mov	-48(%rax),%r15
+	mov	%rbx,144($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	$disp,%rsi
+	xor	%rcx,%rcx		# arg1, UNW_FLAG_NHANDLER
+	mov	8(%rsi),%rdx		# arg2, disp->ImageBase
+	mov	0(%rsi),%r8		# arg3, disp->ControlPc
+	mov	16(%rsi),%r9		# arg4, disp->FunctionEntry
+	mov	40(%rsi),%r10		# disp->ContextRecord
+	lea	56(%rsi),%r11		# &disp->HandlerData
+	lea	24(%rsi),%r12		# &disp->EstablisherFrame
+	mov	%r10,32(%rsp)		# arg5
+	mov	%r11,40(%rsp)		# arg6
+	mov	%r12,48(%rsp)		# arg7
+	mov	%rcx,56(%rsp)		# arg8, (NULL)
+	call	*__imp_RtlVirtualUnwind(%rip)
+
+	mov	\$1,%eax		# ExceptionContinueSearch
+	add	\$64,%rsp
+	popfq
+	pop	%r15
+	pop	%r14
+	pop	%r13
+	pop	%r12
+	pop	%rbp
+	pop	%rbx
+	pop	%rdi
+	pop	%rsi
+	ret
+.size	mul_handler,.-mul_handler
+
+.section	.pdata
+.align	4
+	.rva	.LSEH_begin_bn_mul_mont_gather5
+	.rva	.LSEH_end_bn_mul_mont_gather5
+	.rva	.LSEH_info_bn_mul_mont_gather5
+
+	.rva	.LSEH_begin_bn_mul4x_mont_gather5
+	.rva	.LSEH_end_bn_mul4x_mont_gather5
+	.rva	.LSEH_info_bn_mul4x_mont_gather5
+
+	.rva	.LSEH_begin_bn_power5
+	.rva	.LSEH_end_bn_power5
+	.rva	.LSEH_info_bn_power5
+
+	.rva	.LSEH_begin_bn_from_mont8x
+	.rva	.LSEH_end_bn_from_mont8x
+	.rva	.LSEH_info_bn_from_mont8x
+___
+$code.=<<___ if ($addx);
+	.rva	.LSEH_begin_bn_mulx4x_mont_gather5
+	.rva	.LSEH_end_bn_mulx4x_mont_gather5
+	.rva	.LSEH_info_bn_mulx4x_mont_gather5
+
+	.rva	.LSEH_begin_bn_powerx5
+	.rva	.LSEH_end_bn_powerx5
+	.rva	.LSEH_info_bn_powerx5
+___
+$code.=<<___;
+	.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_body,.Lmul_body,.Lmul_epilogue		# HandlerData[]
+.align	8
+.LSEH_info_bn_mul4x_mont_gather5:
+	.byte	9,0,0,0
+	.rva	mul_handler
+	.rva	.Lmul4x_prologue,.Lmul4x_body,.Lmul4x_epilogue		# HandlerData[]
+.align	8
+.LSEH_info_bn_power5:
+	.byte	9,0,0,0
+	.rva	mul_handler
+	.rva	.Lpower5_prologue,.Lpower5_body,.Lpower5_epilogue	# HandlerData[]
+.align	8
+.LSEH_info_bn_from_mont8x:
+	.byte	9,0,0,0
+	.rva	mul_handler
+	.rva	.Lfrom_prologue,.Lfrom_body,.Lfrom_epilogue		# HandlerData[]
+___
+$code.=<<___ if ($addx);
+.align	8
+.LSEH_info_bn_mulx4x_mont_gather5:
+	.byte	9,0,0,0
+	.rva	mul_handler
+	.rva	.Lmulx4x_prologue,.Lmulx4x_body,.Lmulx4x_epilogue	# HandlerData[]
+.align	8
+.LSEH_info_bn_powerx5:
+	.byte	9,0,0,0
+	.rva	mul_handler
+	.rva	.Lpowerx5_prologue,.Lpowerx5_body,.Lpowerx5_epilogue	# HandlerData[]
+___
+$code.=<<___;
+.align	8
+.LSEH_info_bn_gather5:
+	.byte	0x01,0x0b,0x03,0x0a
+	.byte	0x0b,0x01,0x21,0x00	# sub	rsp,0x108
+	.byte	0x04,0xa3,0x00,0x00	# lea	r10,(rsp)
+.align	8
+___
+}
+
+$code =~ s/\`([^\`]*)\`/eval($1)/gem;
+
+print $code;
+close STDOUT;